Finite Group Databasebeta

← C22×#63012 #72278967

Subgroups — C22×#63012 #72278967

Order 1024.

517117 conjugacy classes of subgroups.

The subgroup lattice has 2271 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63012C21192yesmaximal, direct product factor
2C22×#3546C212yesmaximal, complemented
3C22×#3543C211yesmaximal, characteristic, complemented
4C22×#3558C214yesmaximal, complemented
5C22×#3536C214yesmaximal, complemented
6C22×#3534C218yesmaximal, complemented
7C22×#3542C214yesmaximal, complemented
8C22×#3532C214yesmaximal, complemented
9C22×#3508C211yesmaximal, characteristic, complemented
10C22×#3488C214yesmaximal, complemented
11C22×#3514C212yesmaximal, complemented
12C22×#3520C212yesmaximal, complemented
13C22×#3519C214yesmaximal, complemented
14C22×#3513C214yesmaximal, complemented
15C22×#3490C214yesmaximal, complemented
16C22×#3496C212yesmaximal, complemented
17C22×#3484C214yesmaximal, complemented
18C22×#3481C212yesmaximal, complemented
19C22×D4×#41C212yesmaximal, complemented
20C23×#546C214yesmaximal, complemented
21C23×D42C211yesmaximal, characteristic, complemented
22C23×H(5,𝔽2)C2214yescomplemented
23C24×#41C2214yescomplemented
24C25×D4C2214yescomplemented
25#63012C2214096yesdirect product factor
26C2×#3508C22196yescomplemented
27C2×#3488C221384yescomplemented
28C2×#3514C221192yescomplemented
29C2×#3520C221192yescomplemented
30C2×#3519C221384yescomplemented
31C2×#3513C221384yescomplemented
32C2×#3490C221384yescomplemented
33C2×#3496C221192yescomplemented
34C2×#3484C221384yescomplemented
35C2×#3546C221192yescomplemented
36C2×#3543C22196yescomplemented
37C2×#3558C221384yescomplemented
38C2×#3536C221384yescomplemented
39C2×#3534C221768yescomplemented
40C2×#3542C221384yescomplemented
41C2×#3532C221384yescomplemented
42C2×#3481C221192yescomplemented
43C22×#559C2212yescomplemented
44C22×#559C2214yescomplemented
45C22×#559C2211yescharacteristic, complemented
46C22×#555C2214yescomplemented
47C22×#556C2212yescomplemented
48C22×#553C2212yescomplemented
49C22×#553C2212yescomplemented
50C22×#553C2214yescomplemented
51C22×#553C2218yescomplemented
52C22×#553C2214yescomplemented
53C22×#552C2214yescomplemented
54C22×#551C2218yescomplemented
55C22×#551C2214yescomplemented
56C22×#551C2214yescomplemented
57C22×#551C2214yescomplemented
58C22×#551C2218yescomplemented
59C22×#551C2218yescomplemented
60C22×#554C2212yescomplemented
61C22×#554C2214yescomplemented
62C22×#554C2212yescomplemented
63C2×D4×#41C221192yescomplemented
64C22×#550C2214yescomplemented
65C22×#550C2214yescomplemented
66C22×#550C2212yescomplemented
67C22×#547C2212yescomplemented
68C22×#547C2212yescomplemented
69C22×#547C2214yescomplemented
70C22×#547C2214yescomplemented
71C22×#548C2214yescomplemented
72C22×#548C2214yescomplemented
73C22×#548C2214yescomplemented
74C22×#546C2212yescomplemented
75C22×#546C2214yescomplemented
76C22×#546C2214yescomplemented
77C22×#546C2214yescomplemented
78C22×#546C2214yescomplemented
79C22×#546C2214yescomplemented
80C22×#546C2212yescomplemented
81C22×#546C2218yescomplemented
82C22×#546C2214yescomplemented
83C22×#546C2218yescomplemented
84C22×#546C2214yescomplemented
85C22×#546C2218yescomplemented
86C22×#546C2214yescomplemented
87C22×#546C2218yescomplemented
88C22×#546C2218yescomplemented
89C22×#546C2218yescomplemented
90C22×#546C2214yescomplemented
91C22×#546C2214yescomplemented
92C22×#546C2214yescomplemented
93C22×#546C2218yescomplemented
94C22×#546C2218yescomplemented
95C22×#546C2218yescomplemented
96C22×#546C2218yescomplemented
97C22×#546C2214yescomplemented
98C22×#546C221384yescomplemented
99C22×D4×Q8C2212yescomplemented
100C22×D42C2214yescomplemented
101C22×D42C2214yescomplemented
102C22×D42C2211yescharacteristic, complemented
103C22×D42C2211yescharacteristic, complemented
104C22×D42C2212yescomplemented
105C22×D42C2214yescomplemented
106C22×D42C2212yescomplemented
107C22×D42C2218yescomplemented
108C22×D42C2214yescomplemented
109C22×D42C2214yescomplemented
110C22×D42C2218yescomplemented
111C22×D42C2214yescomplemented
112C22×D42C2214yescomplemented
113C22×D42C2211yescharacteristic, complemented
114C22×D42C22196yescomplemented
115C22×#562C2218yescomplemented
116C22×#562C2218yescomplemented
117C22×H(3,𝔽4)C2214yescomplemented
118C22×#560C2214yescomplemented
119C22×#560C2218yescomplemented
120C22×#560C2214yescomplemented
121C22×#542C2214yescomplemented
122C22×#542C2214yescomplemented
123C22×#542C2214yescomplemented
124C22×#540C2218yescomplemented
125C22×#540C2214yescomplemented
126C22×#540C2214yescomplemented
127C22×#537C2214yescomplemented
128C22×#537C2218yescomplemented
129C22×#537C2214yescomplemented
130C22×#535C2212yescomplemented
131C22×#535C2214yescomplemented
132C22×#535C2214yescomplemented
133C22×#535C2218yescomplemented
134C22×#535C2214yescomplemented
135C22×#539C2218yescomplemented
136C22×#539C2218yescomplemented
137C22×#538C2218yescomplemented
138C22×#538C2218yescomplemented
139C22×#538C2218yescomplemented
140C22×#538C2218yescomplemented
141C22×#538C2218yescomplemented
142C22×#538C2218yescomplemented
143C22×#543C2214yescomplemented
144C22×#534C2214yescomplemented
145C22×#534C2218yescomplemented
146C22×#534C2218yescomplemented
147C22×#534C2218yescomplemented
148C22×#533C2211yescharacteristic, complemented
149C22×#532C2212yescomplemented
150C22×#532C2214yescomplemented
151C22×#532C2212yescomplemented
152C22×#532C2212yescomplemented
153C23×#127C2211yescharacteristic, complemented
154C22×#529C2212yescomplemented
155C22×#529C2214yescomplemented
156C22×#529C2212yescomplemented
157C22×#529C2214yescomplemented
158C23×#124C2214yescomplemented
159C22×#525C2214yescomplemented
160C22×#525C2214yescomplemented
161C22×#525C2214yescomplemented
162C22×#525C2218yescomplemented
163C22×#525C2218yescomplemented
164C22×#525C2214yescomplemented
165C23×#123C2218yescomplemented
166C23×C22⋊Q8C2214yescomplemented
167C23×#121C2214yescomplemented
168C23×#121C2214yescomplemented
169C23×#121C2218yescomplemented
170C23×#121C2214yescomplemented
171C23×#120C2214yescomplemented
172C23×#120C2218yescomplemented
173C23×#120C2214yescomplemented
174C22×#520C2214yescomplemented
175C22×#518C2212yescomplemented
176C22×#518C2214yescomplemented
177C22×#518C2214yescomplemented
178C22×C4×#41C2211yescharacteristic, complemented
179C22×C4×#41C2212yescomplemented
180C23×C4×D4C2212yescomplemented
181C23×C4×D4C2214yescomplemented
182C23×C4×D4C2214yescomplemented
183C23×C4×D4C2212yescomplemented
184C24×C22⋊C4C2214yescomplemented
185C27C2314yes—
186C22×H(5,𝔽2)—464no—
187C22×H(5,𝔽2)C231192yescomplemented
188C23×#41—464no—
189C23×#41C2312yes—
190C23×#41C2314yes—
191C23×#41C2311yescharacteristic
192C23×#41C2318yescomplemented
193C23×#41C2314yescomplemented
194C23×#41C2318yescomplemented
195C23×#41C2314yescomplemented
196C23×#41C2314yescomplemented
197C23×#41C2314yescomplemented
198C23×#41C2318yescomplemented
199C23×#41C2314yescomplemented
200C23×#41C231192yescomplemented
201C24×Q8C2314yescomplemented
202C24×D4—464no—
203C24×D4C2312yes—
204C24×D4C2314yes—
205C24×D4C2314yes—
206C24×D4C2312yes—
207C24×D4C2318yes—
208C24×D4C2318yes—
209C24×D4C2314yes—
210C24×D4C2314yes—
211C24×D4C2318yes—
212C24×D4C2314yes—
213C24×D4C2314yes—
214C24×D4C2312yes—
215C24×D4C2314yes—
216C24×D4C231192yescomplemented
217C24×D4C2318yescomplemented
218C24×D4C2318yescomplemented
219C24×D4C2318yescomplemented
220C24×D4C2318yescomplemented
221C24×D4C2314yescomplemented
222C25×C4C2314yes—
223C25×C4C2318yescomplemented
224C25×C4C2314yescomplemented
225#3558C2314096yescomplemented
226#3546C2312048yescomplemented
227#3543C2311024yescomplemented
228#3542C2314096yescomplemented
229#3536C2314096yescomplemented
230#3534C2318192yescomplemented
231#3532C2314096yescomplemented
232C2×#562C231384yescomplemented
233C2×#562C231384yescomplemented
234C2×H(3,𝔽4)C231192yescomplemented
235C2×#560C231384yescomplemented
236C2×#560C231192yescomplemented
237C2×#560C231192yescomplemented
238#3520C2312048yescomplemented
239#3519C2314096yescomplemented
240#3514C2312048yescomplemented
241#3513C2314096yescomplemented
242#3508C2311024yescomplemented
243#3496C2312048yescomplemented
244#3490C2314096yescomplemented
245#3488C2314096yescomplemented
246#3484C2314096yescomplemented
247#3481C2312048yescomplemented
248C2×#559C23196yescomplemented
249C2×#559C231192yescomplemented
250C2×#559C23148yescomplemented
251C2×#556C23196yescomplemented
252C2×#555C231192yescomplemented
253C2×#554C23196yescomplemented
254C2×#554C231192yescomplemented
255C2×#554C23196yescomplemented
256C2×#553C23196yescomplemented
257C2×#553C231192yescomplemented
258C2×#553C23196yescomplemented
259C2×#553C231384yescomplemented
260C2×#553C231192yescomplemented
261C2×#552C231192yescomplemented
262C2×#551C231192yescomplemented
263C2×#551C231384yescomplemented
264C2×#551C231192yescomplemented
265C2×#551C231384yescomplemented
266C2×#551C231384yescomplemented
267C2×#551C231192yescomplemented
268D4×#41C2312048yescomplemented
269C2×#550C231192yescomplemented
270C2×#550C23196yescomplemented
271C2×#550C231192yescomplemented
272C2×D4×Q8C23196yescomplemented
273C2×#548C231192yescomplemented
274C2×#548C231192yescomplemented
275C2×#548C231192yescomplemented
276C2×#547C23196yescomplemented
277C2×#547C23196yescomplemented
278C2×#547C231192yescomplemented
279C2×#547C231192yescomplemented
280C2×#546C231192yescomplemented
281C2×#546C23196yescomplemented
282C2×#546C231192yescomplemented
283C2×#546C231384yescomplemented
284C2×#546C231192yescomplemented
285C2×#546C231384yescomplemented
286C2×#546C231384yescomplemented
287C2×#546C231192yescomplemented
288C2×#546C231192yescomplemented
289C2×#546C231192yescomplemented
290C2×#546C231192yescomplemented
291C2×#546C231192yescomplemented
292C2×#546C23196yescomplemented
293C2×#546C231384yescomplemented
294C2×#546C231384yescomplemented
295C2×#546C231384yescomplemented
296C2×#546C231384yescomplemented
297C2×#546C231384yescomplemented
298C2×#546C231384yescomplemented
299C2×#546C231192yescomplemented
300C2×#546C231192yescomplemented
301C2×#546C231192yescomplemented
302C2×#546C231384yescomplemented
303C2×#546C231192yescomplemented
304C2×#546C2314096yescomplemented
305C2×D42C231192yescomplemented
306C2×D42C231192yescomplemented
307C2×D42C23148yescomplemented
308C2×D42C23196yescomplemented
309C2×D42C23196yescomplemented
310C2×D42C231192yescomplemented
311C2×D42C23148yescomplemented
312C2×D42C231192yescomplemented
313C2×D42C231384yescomplemented
314C2×D42C231192yescomplemented
315C2×D42C231384yescomplemented
316C2×D42C231192yescomplemented
317C2×D42C231192yescomplemented
318C2×D42C23148yescomplemented
319C2×D42C2311024yescomplemented
320C2×#543C231192yescomplemented
321C2×#542C231192yescomplemented
322C2×#542C231192yescomplemented
323C2×#542C231192yescomplemented
324C2×#540C231384yescomplemented
325C2×#540C231192yescomplemented
326C2×#540C231192yescomplemented
327C2×#539C231384yescomplemented
328C2×#539C231384yescomplemented
329C2×#538C231384yescomplemented
330C2×#538C231384yescomplemented
331C2×#538C231384yescomplemented
332C2×#538C231384yescomplemented
333C2×#538C231384yescomplemented
334C2×#538C231384yescomplemented
335C2×#537C231384yescomplemented
336C2×#537C231192yescomplemented
337C2×#537C231192yescomplemented
338C2×#535C23196yescomplemented
339C2×#535C231384yescomplemented
340C2×#535C231192yescomplemented
341C2×#535C231192yescomplemented
342C2×#535C231192yescomplemented
343C2×#534C231192yescomplemented
344C2×#534C231384yescomplemented
345C2×#534C231384yescomplemented
346C2×#534C231384yescomplemented
347C2×#533C23148yescomplemented
348C2×#532C23196yescomplemented
349C2×#532C231192yescomplemented
350C2×#532C23196yescomplemented
351C2×#532C23196yescomplemented
352C22×C4⋊Q8C2312yescomplemented
353C22×C4⋊Q8C2314yescomplemented
354C22×C4⋊Q8C2312yescomplemented
355C22×#127C2311yescharacteristic
356C22×#127C2311yescharacteristic
357C22×#127C2314yes—
358C22×#127C2312yes—
359C22×#127C2312yes—
360C22×#127C23148yescomplemented
361C22×#127C2314yescomplemented
362C22×#127C2314yescomplemented
363C22×#127C2318yescomplemented
364C2×#529C23196yescomplemented
365C2×#529C231192yescomplemented
366C2×#529C23196yescomplemented
367C2×#529C231192yescomplemented
368C22×#126C2318yescomplemented
369C22×#126C2314yescomplemented
370C22×#126C2314yescomplemented
371C22×#126C2314yescomplemented
372C22×#126C2314yescomplemented
373C22×#126C2318yescomplemented
374C22×#126C2318yescomplemented
375C22×#126C2318yescomplemented
376C22×#125C2312yescomplemented
377C22×#125C2314yescomplemented
378C22×#125C2312yescomplemented
379C22×#125C2312yescomplemented
380C22×#125C2318yescomplemented
381C22×#124C2312yes—
382C22×#124C2314yes—
383C22×#124C2314yescomplemented
384C22×#124C2318yescomplemented
385C22×#124C2318yescomplemented
386C22×#124C2314yescomplemented
387C22×#124C2314yescomplemented
388C22×#124C2312yescomplemented
389C22×#124C2318yescomplemented
390C22×#124C2314yescomplemented
391C22×#124C2314yescomplemented
392C22×#124C2314yescomplemented
393C22×#124C2318yescomplemented
394C22×#124C2318yescomplemented
395C22×#124C2318yescomplemented
396C22×#124C231192yescomplemented
397C2×#525C231192yescomplemented
398C2×#525C231192yescomplemented
399C2×#525C231192yescomplemented
400C2×#525C231384yescomplemented
401C2×#525C231384yescomplemented
402C2×#525C231192yescomplemented
403C22×#123C2314yes—
404C22×#123C2318yes—
405C22×#123C2314yes—
406C22×#123C2318yescomplemented
407C22×#123C2318yescomplemented
408C22×#123C2318yescomplemented
409C22×#123C2318yescomplemented
410C22×#123C2318yescomplemented
411C22×#123C2318yescomplemented
412C22×#123C2314yescomplemented
413C22×#123C2318yescomplemented
414C22×#123C2314yescomplemented
415C22×#123C2314yescomplemented
416C22×#123C2318yescomplemented
417C22×#123C2318yescomplemented
418C22×#123C2314yescomplemented
419C22×#123C2318yescomplemented
420C22×#123C2314yescomplemented
421C22×#123C2314yescomplemented
422C22×#123C2314yescomplemented
423C22×#123C2318yescomplemented
424C22×#123C2318yescomplemented
425C22×#123C2318yescomplemented
426C22×#123C2318yescomplemented
427C22×#123C2314yescomplemented
428C22×#123C231384yescomplemented
429C22×C22⋊Q8C2312yes—
430C22×C22⋊Q8C2314yes—
431C22×C22⋊Q8C2318yes—
432C22×C22⋊Q8C2314yes—
433C22×C22⋊Q8C2318yescomplemented
434C22×C22⋊Q8C2314yescomplemented
435C22×C22⋊Q8C2314yescomplemented
436C22×C22⋊Q8C2314yescomplemented
437C22×C22⋊Q8C2314yescomplemented
438C22×C22⋊Q8C2318yescomplemented
439C22×C22⋊Q8C2318yescomplemented
440C22×C22⋊Q8C2318yescomplemented
441C22×C22⋊Q8C2314yescomplemented
442C22×C22⋊Q8C2314yescomplemented
443C22×C22⋊Q8C2314yescomplemented
444C22×C22⋊Q8C2314yescomplemented
445C22×C22⋊Q8C2312yescomplemented
446C22×C22⋊Q8C2318yescomplemented
447C22×C22⋊Q8C2318yescomplemented
448C22×C22⋊Q8C2318yescomplemented
449C22×C22⋊Q8C231192yescomplemented
450C22×#121C2314yes—
451C22×#121C2314yes—
452C22×#121C2312yes—
453C22×#121C2314yes—
454C22×#121C2318yes—
455C22×#121C2318yes—
456C22×#121C2318yes—
457C22×#121C2314yes—
458C22×#121C2314yes—
459C22×#121C2314yes—
460C22×#121C2312yes—
461C22×#121C2314yes—
462C22×#121C2314yes—
463C22×#121C2312yes—
464C22×#121C231192yescomplemented
465C22×#121C2318yescomplemented
466C22×#121C2314yescomplemented
467C22×#121C2312yescomplemented
468C22×#121C2314yescomplemented
469C22×#121C2318yescomplemented
470C22×#121C2318yescomplemented
471C22×#121C2318yescomplemented
472C22×#121C2318yescomplemented
473C22×#121C2318yescomplemented
474C22×#121C2318yescomplemented
475C22×#121C2318yescomplemented
476C22×#121C2314yescomplemented
477C22×#121C2318yescomplemented
478C22×#121C2318yescomplemented
479C22×#121C2318yescomplemented
480C22×#121C2318yescomplemented
481C22×#121C2314yescomplemented
482C22×#121C2314yescomplemented
483C22×#121C2314yescomplemented
484C22×#121C2314yescomplemented
485C22×#121C2314yescomplemented
486C22×#121C2318yescomplemented
487C22×#121C2314yescomplemented
488C22×#121C2314yescomplemented
489C22×#121C2318yescomplemented
490C22×#121C2318yescomplemented
491C22×#121C2318yescomplemented
492C22×#121C2318yescomplemented
493C22×#121C2318yescomplemented
494C22×#121C2318yescomplemented
495C22×#121C2318yescomplemented
496C22×#121C231384yescomplemented
497C22×#121C231192yescomplemented
498C22×#121C231192yescomplemented
499C22×#120C2314yes—
500C22×#120C2318yes—
501C22×#120C2314yes—
502C22×#120C2314yes—
503C22×#120C2314yes—
504C22×#120C2318yes—
505C22×#120C2318yes—
506C22×#120C2314yes—
507C22×#120C2314yes—
508C22×#120C2318yes—
509C22×#120C2318yes—
510C22×#120C2314yes—
511C22×#120C231192yescomplemented
512C22×#120C2318yescomplemented
513C22×#120C2318yescomplemented
514C22×#120C2318yescomplemented
515C22×#120C2318yescomplemented
516C22×#120C2318yescomplemented
517C22×#120C2318yescomplemented
518C22×#120C2318yescomplemented
519C22×#120C2314yescomplemented
520C22×#120C2314yescomplemented
521C22×#120C2318yescomplemented
522C22×#120C2318yescomplemented
523C22×#120C2314yescomplemented
524C22×#120C231192yescomplemented
525C22×#120C231384yescomplemented
526C2×#520C231192yescomplemented
527C2×#518C23196yescomplemented
528C2×#518C231192yescomplemented
529C2×#518C231192yescomplemented
530C2×C4×#41C23148yescomplemented
531C2×C4×#41C23196yescomplemented
532C22×C4×Q8C2312yescomplemented
533C22×C4×Q8C2312yescomplemented
534C22×C4×Q8C2312yescomplemented
535C22×C4×Q8C2314yescomplemented
536C22×C4×Q8C2314yescomplemented
537C22×C4×D4C2312yes—
538C22×C4×D4C2312yes—
539C22×C4×D4C2312yes—
540C22×C4×D4C2314yes—
541C22×C4×D4C2314yes—
542C22×C4×D4C2312yes—
543C22×C4×D4C2314yes—
544C22×C4×D4C2314yes—
545C22×C4×D4C2312yes—
546C22×C4×D4C2314yes—
547C22×C4×D4C2314yes—
548C22×C4×D4C2312yes—
549C22×C4×D4C2312yes—
550C22×C4×D4C2312yes—
551C22×C4×D4C2318yes—
552C22×C4×D4C23196yescomplemented
553C22×C4×D4C2314yescomplemented
554C22×C4×D4C2318yescomplemented
555C22×C4×D4C2314yescomplemented
556C22×C4×D4C2314yescomplemented
557C22×C4×D4C2312yescomplemented
558C22×C4×D4C2314yescomplemented
559C22×C4×D4C2314yescomplemented
560C22×C4×D4C2312yescomplemented
561C22×C4×D4C2314yescomplemented
562C22×C4×D4C2318yescomplemented
563C22×C4×D4C2314yescomplemented
564C22×C4×D4C2314yescomplemented
565C22×C4×D4C2314yescomplemented
566C22×C4×D4C2312yescomplemented
567C22×C4×D4C2314yescomplemented
568C22×C4×D4C2318yescomplemented
569C22×C4×D4C2314yescomplemented
570C22×C4×D4C2318yescomplemented
571C22×C4×D4C2318yescomplemented
572C22×C4×D4C2318yescomplemented
573C22×C4×D4C2318yescomplemented
574C22×C4×D4C2314yescomplemented
575C22×C4×D4C2314yescomplemented
576C22×C4×D4C2314yescomplemented
577C22×C4×D4C2318yescomplemented
578C22×C4×D4C2318yescomplemented
579C22×C4×D4C231192yescomplemented
580C22×C4×D4C23196yescomplemented
581C22×C4×D4C231192yescomplemented
582C22×#117C2311yescharacteristic
583C22×#117C2312yes—
584C22×#117C2314yescomplemented
585C22×#117C2312yescomplemented
586C22×#117C2312yescomplemented
587C22×#117C2314yescomplemented
588C22×#117C2314yescomplemented
589C22×#117C2318yescomplemented
590C22×#117C2314yescomplemented
591C22×#117C2318yescomplemented
592C23×C4⋊C4C2312yes—
593C23×C4⋊C4C2314yescomplemented
594C23×C4⋊C4C2314yescomplemented
595C23×C4⋊C4C2312yescomplemented
596C23×C4⋊C4C2318yescomplemented
597C23×C4⋊C4C2314yescomplemented
598C23×C22⋊C4C2314yes—
599C23×C22⋊C4C2314yes—
600C23×C22⋊C4C2318yes—
601C23×C22⋊C4C2314yes—
602C23×C22⋊C4C2314yes—
603C23×C22⋊C4C2314yes—
604C23×C22⋊C4C2314yes—
605C23×C22⋊C4C231192yescomplemented
606C23×C22⋊C4C2318yescomplemented
607C23×C22⋊C4C2318yescomplemented
608C23×C22⋊C4C2318yescomplemented
609C23×C22⋊C4C2318yescomplemented
610C23×C22⋊C4C2314yescomplemented
611C23×C22⋊C4C2314yescomplemented
612C23×C22⋊C4C2318yescomplemented
613C23×C22⋊C4C2318yescomplemented
614C23×C22⋊C4C2318yescomplemented
615C23×C42C2311yescharacteristic
616C23×C42C2314yescomplemented
617C23×C42C2312yescomplemented
618C26—464no—
619C26—432no—
620C26C2414yes—
621C26C2414yes—
622C26C2414yes—
623C26C2414yes—
624C26C2418yes—
625C26C2414yes—
626C26C2414yes—
627C26C24196yes—
628C2×H(5,𝔽2)—41536no—
629C2×H(5,𝔽2)C2411024yescomplemented
630C22×#41—232no—
631C22×#41—264no—
632C22×#41—432no—
633C22×#41—464no—
634C22×#41—464no—
635C22×#41—48no—
636C22×#41—464no—
637C22×#41—432no—
638C22×#41—432no—
639C22×#41—432no—
640C22×#41—432no—
641C22×#41—41536no—
642C22×#41C24148yes—
643C22×#41C24196yes—
644C22×#41C24124yes—
645C22×#41C241192yescomplemented
646C22×#41C24196yescomplemented
647C22×#41C241192yescomplemented
648C22×#41C24196yescomplemented
649C22×#41C24196yescomplemented
650C22×#41C24196yescomplemented
651C22×#41C241192yescomplemented
652C22×#41C24196yescomplemented
653C22×#41C2411024yescomplemented
654C23×Q8—432no—
655C23×Q8C2412yes—
656C23×Q8C2414yes—
657C23×Q8C2418yes—
658C23×Q8C2411yescharacteristic
659C23×Q8C2414yes—
660C23×Q8C24196yescomplemented
661C23×D4—232no—
662C23×D4—264no—
663C23×D4—264no—
664C23×D4—232no—
665C23×D4—432no—
666C23×D4—432no—
667C23×D4—432no—
668C23×D4—432no—
669C23×D4—416no—
670C23×D4—464no—
671C23×D4—41536no—
672C23×D4—464no—
673C23×D4—464no—
674C23×D4—464no—
675C23×D4—432no—
676C23×D4—432no—
677C23×D4—464no—
678C23×D4—464no—
679C23×D4—464no—
680C23×D4C2414yes—
681C23×D4C2412yes—
682C23×D4C2418yes—
683C23×D4C2414yes—
684C23×D4C2418yes—
685C23×D4C2414yes—
686C23×D4C2414yes—
687C23×D4C2412yes—
688C23×D4C24148yes—
689C23×D4C2414yes—
690C23×D4C2412yes—
691C23×D4C24196yes—
692C23×D4C24196yes—
693C23×D4C24148yes—
694C23×D4C2418yes—
695C23×D4C2414yes—
696C23×D4C2418yes—
697C23×D4C2418yes—
698C23×D4C2418yes—
699C23×D4C241192yes—
700C23×D4C241192yes—
701C23×D4C24196yes—
702C23×D4C24196yes—
703C23×D4C241192yes—
704C23×D4C24196yes—
705C23×D4C2412yes—
706C23×D4C2414yes—
707C23×D4C2412yes—
708C23×D4C2414yes—
709C23×D4C2414yes—
710C23×D4C2418yes—
711C23×D4C24196yes—
712C23×D4C24148yes—
713C23×D4C24196yes—
714C23×D4C2414yes—
715C23×D4C2418yes—
716C23×D4C2414yes—
717C23×D4C2418yes—
718C23×D4C2418yes—
719C23×D4C2414yes—
720C23×D4C2418yes—
721C23×D4C2418yes—
722C23×D4C2411yescharacteristic
723C23×D4C2412yes—
724C23×D4C2411024yescomplemented
725C23×D4C241192yescomplemented
726C23×D4C241192yescomplemented
727C23×D4C241192yescomplemented
728C23×D4C241192yescomplemented
729C23×D4C24196yescomplemented
730C24×C4—432no—
731C24×C4—432no—
732C24×C4—464no—
733C24×C4C2412yes—
734C24×C4C2414yes—
735C24×C4C2414yes—
736C24×C4C2414yes—
737C24×C4C2412yes—
738C24×C4C2418yes—
739C24×C4C2414yes—
740C24×C4C2411yescharacteristic
741C24×C4C2412yes—
742C24×C4C2414yes—
743C24×C4C2414yes—
744C24×C4C2414yes—
745C24×C4C24196yes—
746C24×C4C2414yes—
747C24×C4C2418yes—
748C24×C4C2418yes—
749C24×C4C2418yes—
750C24×C4C2414yes—
751C24×C4C2414yes—
752C24×C4C2414yes—
753C24×C4C2414yes—
754C24×C4C2418yes—
755C24×C4C2418yes—
756C24×C4C2412yes—
757C24×C4C241192yescomplemented
758C24×C4C24196yescomplemented
759#562C2412048yescomplemented
760#562C2412048yescomplemented
761H(3,𝔽4)C2411024yescomplemented
762#560C2412048yescomplemented
763#560C2411024yescomplemented
764#560C2411024yescomplemented
765#559C241512yescomplemented
766#559C2411024yescomplemented
767#559C241256yescomplemented
768#556C241512yescomplemented
769#555C2411024yescomplemented
770#554C241512yescomplemented
771#554C2411024yescomplemented
772#554C241512yescomplemented
773#553C241512yescomplemented
774#553C2411024yescomplemented
775#553C241512yescomplemented
776#553C2412048yescomplemented
777#553C2411024yescomplemented
778#552C2411024yescomplemented
779#551C2411024yescomplemented
780#551C2412048yescomplemented
781#551C2411024yescomplemented
782#551C2412048yescomplemented
783#551C2412048yescomplemented
784#551C2411024yescomplemented
785#550C2411024yescomplemented
786#550C241512yescomplemented
787#550C2411024yescomplemented
788D4×Q8C241512yescomplemented
789#548C2411024yescomplemented
790#548C2411024yescomplemented
791#548C2411024yescomplemented
792#547C241512yescomplemented
793#547C241512yescomplemented
794#547C2411024yescomplemented
795#547C2411024yescomplemented
796#546C241512yescomplemented
797#546C2411024yescomplemented
798#546C2412048yescomplemented
799#546C2411024yescomplemented
800#546C2412048yescomplemented
801#546C2411024yescomplemented
802#546C2412048yescomplemented
803#546C2411024yescomplemented
804#546C2411024yescomplemented
805#546C2411024yescomplemented
806#546C2411024yescomplemented
807#546C2411024yescomplemented
808#546C241512yescomplemented
809#546C2412048yescomplemented
810#546C2412048yescomplemented
811#546C2412048yescomplemented
812#546C2412048yescomplemented
813#546C2412048yescomplemented
814#546C2412048yescomplemented
815#546C2411024yescomplemented
816#546C2411024yescomplemented
817#546C2411024yescomplemented
818#546C2412048yescomplemented
819#546C2411024yescomplemented
820D42C241256yescomplemented
821D42C2411024yescomplemented
822D42C241512yescomplemented
823D42C2411024yescomplemented
824D42C2411024yescomplemented
825D42C241256yescomplemented
826D42C241512yescomplemented
827D42C2412048yescomplemented
828D42C2411024yescomplemented
829D42C2411024yescomplemented
830D42C2412048yescomplemented
831D42C2411024yescomplemented
832D42C2411024yescomplemented
833D42C241256yescomplemented
834#543C2411024yescomplemented
835#542C2411024yescomplemented
836#542C2411024yescomplemented
837#542C2411024yescomplemented
838#540C2412048yescomplemented
839#540C2411024yescomplemented
840#540C2411024yescomplemented
841#539C2412048yescomplemented
842#539C2412048yescomplemented
843#538C2412048yescomplemented
844#538C2412048yescomplemented
845#538C2412048yescomplemented
846#538C2412048yescomplemented
847#538C2412048yescomplemented
848#538C2412048yescomplemented
849#537C2412048yescomplemented
850#537C2411024yescomplemented
851#537C2411024yescomplemented
852#535C241512yescomplemented
853#535C2412048yescomplemented
854#535C2411024yescomplemented
855#535C2411024yescomplemented
856#535C2411024yescomplemented
857#534C2411024yescomplemented
858#534C2412048yescomplemented
859#534C2412048yescomplemented
860#534C2412048yescomplemented
861#533C241256yescomplemented
862#532C241512yescomplemented
863#532C2411024yescomplemented
864#532C241512yescomplemented
865#532C241512yescomplemented
866C2×C4⋊Q8C24148yescomplemented
867C2×C4⋊Q8C24148yescomplemented
868C2×C4⋊Q8C24196yescomplemented
869C2×#127C24124yes—
870C2×#127C24124yes—
871C2×#127C24196yes—
872C2×#127C24148yes—
873C2×#127C24148yes—
874C2×#127C241256yescomplemented
875C2×#127C24196yescomplemented
876C2×#127C24196yescomplemented
877C2×#127C241192yescomplemented
878#529C241512yescomplemented
879#529C2411024yescomplemented
880#529C241512yescomplemented
881#529C2411024yescomplemented
882C2×#126C241192yescomplemented
883C2×#126C24196yescomplemented
884C2×#126C24196yescomplemented
885C2×#126C24196yescomplemented
886C2×#126C24196yescomplemented
887C2×#126C241192yescomplemented
888C2×#126C241192yescomplemented
889C2×#126C241192yescomplemented
890C2×#125C24148yescomplemented
891C2×#125C24196yescomplemented
892C2×#125C24148yescomplemented
893C2×#125C24148yescomplemented
894C2×#125C241192yescomplemented
895C2×#124C24148yes—
896C2×#124C24196yes—
897C2×#124C24196yescomplemented
898C2×#124C24196yescomplemented
899C2×#124C241192yescomplemented
900C2×#124C241192yescomplemented
901C2×#124C24148yescomplemented
902C2×#124C24196yescomplemented
903C2×#124C24196yescomplemented
904C2×#124C24196yescomplemented
905C2×#124C241192yescomplemented
906C2×#124C241192yescomplemented
907C2×#124C24196yescomplemented
908C2×#124C241192yescomplemented
909C2×#124C241192yescomplemented
910C2×#124C2411024yescomplemented
911#525C2411024yescomplemented
912#525C2411024yescomplemented
913#525C2411024yescomplemented
914#525C2412048yescomplemented
915#525C2412048yescomplemented
916#525C2411024yescomplemented
917C2×#123C24196yes—
918C2×#123C241192yes—
919C2×#123C24196yes—
920C2×#123C241192yescomplemented
921C2×#123C241192yescomplemented
922C2×#123C241192yescomplemented
923C2×#123C241192yescomplemented
924C2×#123C241192yescomplemented
925C2×#123C241192yescomplemented
926C2×#123C24196yescomplemented
927C2×#123C241192yescomplemented
928C2×#123C24196yescomplemented
929C2×#123C24196yescomplemented
930C2×#123C241192yescomplemented
931C2×#123C241192yescomplemented
932C2×#123C24196yescomplemented
933C2×#123C241192yescomplemented
934C2×#123C24196yescomplemented
935C2×#123C24196yescomplemented
936C2×#123C241192yescomplemented
937C2×#123C24196yescomplemented
938C2×#123C241192yescomplemented
939C2×#123C241192yescomplemented
940C2×#123C241192yescomplemented
941C2×#123C24196yescomplemented
942C2×#123C2412048yescomplemented
943C2×C22⋊Q8C24148yes—
944C2×C22⋊Q8C24196yes—
945C2×C22⋊Q8C241192yes—
946C2×C22⋊Q8C24196yes—
947C2×C22⋊Q8C24196yescomplemented
948C2×C22⋊Q8C24196yescomplemented
949C2×C22⋊Q8C241192yescomplemented
950C2×C22⋊Q8C24196yescomplemented
951C2×C22⋊Q8C24196yescomplemented
952C2×C22⋊Q8C241192yescomplemented
953C2×C22⋊Q8C24196yescomplemented
954C2×C22⋊Q8C24196yescomplemented
955C2×C22⋊Q8C241192yescomplemented
956C2×C22⋊Q8C241192yescomplemented
957C2×C22⋊Q8C24196yescomplemented
958C2×C22⋊Q8C24148yescomplemented
959C2×C22⋊Q8C24196yescomplemented
960C2×C22⋊Q8C241192yescomplemented
961C2×C22⋊Q8C241192yescomplemented
962C2×C22⋊Q8C241192yescomplemented
963C2×C22⋊Q8C2411024yescomplemented
964C2×#121C24196yes—
965C2×#121C24196yes—
966C2×#121C24148yes—
967C2×#121C24196yes—
968C2×#121C241192yes—
969C2×#121C24196yes—
970C2×#121C241192yes—
971C2×#121C24196yes—
972C2×#121C24196yes—
973C2×#121C241192yes—
974C2×#121C24148yes—
975C2×#121C24196yes—
976C2×#121C24196yes—
977C2×#121C24148yes—
978C2×#121C2411024yescomplemented
979C2×#121C241192yescomplemented
980C2×#121C24196yescomplemented
981C2×#121C24148yescomplemented
982C2×#121C24196yescomplemented
983C2×#121C241192yescomplemented
984C2×#121C241192yescomplemented
985C2×#121C241192yescomplemented
986C2×#121C241192yescomplemented
987C2×#121C241192yescomplemented
988C2×#121C24196yescomplemented
989C2×#121C241192yescomplemented
990C2×#121C241192yescomplemented
991C2×#121C241192yescomplemented
992C2×#121C241192yescomplemented
993C2×#121C241192yescomplemented
994C2×#121C241192yescomplemented
995C2×#121C24196yescomplemented
996C2×#121C24196yescomplemented
997C2×#121C24196yescomplemented
998C2×#121C24196yescomplemented
999C2×#121C24196yescomplemented
1000C2×#121C241192yescomplemented
1001C2×#121C24196yescomplemented
1002C2×#121C24196yescomplemented
1003C2×#121C241192yescomplemented
1004C2×#121C241192yescomplemented
1005C2×#121C241192yescomplemented
1006C2×#121C241192yescomplemented
1007C2×#121C241192yescomplemented
1008C2×#121C241192yescomplemented
1009C2×#121C241192yescomplemented
1010C2×#121C2412048yescomplemented
1011C2×#121C2411024yescomplemented
1012C2×#121C2411024yescomplemented
1013C2×#120C24196yes—
1014C2×#120C241192yes—
1015C2×#120C24196yes—
1016C2×#120C24196yes—
1017C2×#120C24196yes—
1018C2×#120C241192yes—
1019C2×#120C241192yes—
1020C2×#120C241192yes—
1021C2×#120C241192yes—
1022C2×#120C24196yes—
1023C2×#120C24196yes—
1024C2×#120C24196yes—
1025C2×#120C2411024yescomplemented
1026C2×#120C241192yescomplemented
1027C2×#120C241192yescomplemented
1028C2×#120C241192yescomplemented
1029C2×#120C241192yescomplemented
1030C2×#120C241192yescomplemented
1031C2×#120C241192yescomplemented
1032C2×#120C241192yescomplemented
1033C2×#120C24196yescomplemented
1034C2×#120C24196yescomplemented
1035C2×#120C241192yescomplemented
1036C2×#120C24196yescomplemented
1037C2×#120C241192yescomplemented
1038C2×#120C2412048yescomplemented
1039C2×#120C2411024yescomplemented
1040#520C2411024yescomplemented
1041#518C241512yescomplemented
1042#518C2411024yescomplemented
1043#518C2411024yescomplemented
1044C4×#41C241256yescomplemented
1045C4×#41C241512yescomplemented
1046C2×C4×Q8C24148yescomplemented
1047C2×C4×Q8C24148yescomplemented
1048C2×C4×Q8C24148yescomplemented
1049C2×C4×Q8C24196yescomplemented
1050C2×C4×Q8C24196yescomplemented
1051C2×C4×D4C24148yes—
1052C2×C4×D4C24148yes—
1053C2×C4×D4C24148yes—
1054C2×C4×D4C24196yes—
1055C2×C4×D4C24196yes—
1056C2×C4×D4C24148yes—
1057C2×C4×D4C24196yes—
1058C2×C4×D4C24196yes—
1059C2×C4×D4C24148yes—
1060C2×C4×D4C24196yes—
1061C2×C4×D4C24196yes—
1062C2×C4×D4C24148yes—
1063C2×C4×D4C24148yes—
1064C2×C4×D4C24148yes—
1065C2×C4×D4C241192yes—
1066C2×C4×D4C241512yescomplemented
1067C2×C4×D4C24196yescomplemented
1068C2×C4×D4C241192yescomplemented
1069C2×C4×D4C24196yescomplemented
1070C2×C4×D4C24196yescomplemented
1071C2×C4×D4C24148yescomplemented
1072C2×C4×D4C24196yescomplemented
1073C2×C4×D4C24196yescomplemented
1074C2×C4×D4C24148yescomplemented
1075C2×C4×D4C24196yescomplemented
1076C2×C4×D4C241192yescomplemented
1077C2×C4×D4C24196yescomplemented
1078C2×C4×D4C24196yescomplemented
1079C2×C4×D4C24196yescomplemented
1080C2×C4×D4C24148yescomplemented
1081C2×C4×D4C24196yescomplemented
1082C2×C4×D4C24196yescomplemented
1083C2×C4×D4C241192yescomplemented
1084C2×C4×D4C241192yescomplemented
1085C2×C4×D4C241192yescomplemented
1086C2×C4×D4C241192yescomplemented
1087C2×C4×D4C241192yescomplemented
1088C2×C4×D4C24196yescomplemented
1089C2×C4×D4C24196yescomplemented
1090C2×C4×D4C24196yescomplemented
1091C2×C4×D4C241192yescomplemented
1092C2×C4×D4C241192yescomplemented
1093C2×C4×D4C2411024yescomplemented
1094C2×C4×D4C2411024yescomplemented
1095C2×C4×D4C241512yescomplemented
1096C2×#117C24124yes—
1097C2×#117C24148yes—
1098C2×#117C24196yescomplemented
1099C2×#117C24148yescomplemented
1100C2×#117C24148yescomplemented
1101C2×#117C24196yescomplemented
1102C2×#117C24196yescomplemented
1103C2×#117C241192yescomplemented
1104C2×#117C24196yescomplemented
1105C2×#117C241192yescomplemented
1106C22×C4⋊C4C2412yes—
1107C22×C4⋊C4C2412yes—
1108C22×C4⋊C4C2414yes—
1109C22×C4⋊C4C24148yes—
1110C22×C4⋊C4C2412yes—
1111C22×C4⋊C4C2414yes—
1112C22×C4⋊C4C2412yes—
1113C22×C4⋊C4C2414yes—
1114C22×C4⋊C4C2418yes—
1115C22×C4⋊C4C2414yes—
1116C22×C4⋊C4C2414yes—
1117C22×C4⋊C4C2414yes—
1118C22×C4⋊C4C2418yes—
1119C22×C4⋊C4C2414yes—
1120C22×C4⋊C4C2418yes—
1121C22×C4⋊C4C2418yes—
1122C22×C4⋊C4C2412yes—
1123C22×C4⋊C4C2414yes—
1124C22×C4⋊C4C2412yes—
1125C22×C4⋊C4C2414yes—
1126C22×C4⋊C4C2418yes—
1127C22×C4⋊C4C2412yes—
1128C22×C4⋊C4C2414yes—
1129C22×C4⋊C4C2414yes—
1130C22×C4⋊C4C2414yes—
1131C22×C4⋊C4C2414yes—
1132C22×C4⋊C4C24196yescomplemented
1133C22×C4⋊C4C24196yescomplemented
1134C22×C4⋊C4C24148yescomplemented
1135C22×C4⋊C4C241192yescomplemented
1136C22×C4⋊C4C24196yescomplemented
1137C22×C22⋊C4C2411yescharacteristic
1138C22×C22⋊C4C2414yes—
1139C22×C22⋊C4C2414yes—
1140C22×C22⋊C4C2411yescharacteristic
1141C22×C22⋊C4C2414yes—
1142C22×C22⋊C4C2414yes—
1143C22×C22⋊C4C24196yes—
1144C22×C22⋊C4C2418yes—
1145C22×C22⋊C4C24196yes—
1146C22×C22⋊C4C2418yes—
1147C22×C22⋊C4C2418yes—
1148C22×C22⋊C4C241192yes—
1149C22×C22⋊C4C2414yes—
1150C22×C22⋊C4C2414yes—
1151C22×C22⋊C4C24196yes—
1152C22×C22⋊C4C2414yes—
1153C22×C22⋊C4C2418yes—
1154C22×C22⋊C4C2414yes—
1155C22×C22⋊C4C2414yes—
1156C22×C22⋊C4C2414yes—
1157C22×C22⋊C4C2414yes—
1158C22×C22⋊C4C2414yes—
1159C22×C22⋊C4C24196yes—
1160C22×C22⋊C4C2418yes—
1161C22×C22⋊C4C24196yes—
1162C22×C22⋊C4C24196yes—
1163C22×C22⋊C4C2414yes—
1164C22×C22⋊C4C2414yes—
1165C22×C22⋊C4C2414yes—
1166C22×C22⋊C4C2418yes—
1167C22×C22⋊C4C2412yes—
1168C22×C22⋊C4C2414yes—
1169C22×C22⋊C4C2418yes—
1170C22×C22⋊C4C2414yes—
1171C22×C22⋊C4C2414yes—
1172C22×C22⋊C4C2418yes—
1173C22×C22⋊C4C2414yes—
1174C22×C22⋊C4C2418yes—
1175C22×C22⋊C4C2418yes—
1176C22×C22⋊C4C2418yes—
1177C22×C22⋊C4C2418yes—
1178C22×C22⋊C4C2414yes—
1179C22×C22⋊C4C2414yes—
1180C22×C22⋊C4C2412yes—
1181C22×C22⋊C4C2414yes—
1182C22×C22⋊C4C2414yes—
1183C22×C22⋊C4C2414yes—
1184C22×C22⋊C4C2411024yescomplemented
1185C22×C22⋊C4C241192yescomplemented
1186C22×C22⋊C4C241192yescomplemented
1187C22×C22⋊C4C241192yescomplemented
1188C22×C22⋊C4C241192yescomplemented
1189C22×C22⋊C4C24196yescomplemented
1190C22×C22⋊C4C24196yescomplemented
1191C22×C22⋊C4C241192yescomplemented
1192C22×C22⋊C4C241192yescomplemented
1193C22×C22⋊C4C241192yescomplemented
1194C22×C42C2411yescharacteristic
1195C22×C42C2412yes—
1196C22×C42C2411yescharacteristic
1197C22×C42C24124yes—
1198C22×C42C2412yes—
1199C22×C42C2412yes—
1200C22×C42C2414yes—
1201C22×C42C2414yes—
1202C22×C42C2412yes—
1203C22×C42C2414yes—
1204C22×C42C2414yes—
1205C22×C42C2418yes—
1206C22×C42C24196yescomplemented
1207C22×C42C24148yescomplemented
1208C25—264no—
1209C25—232no—
1210C25—232no—
1211C25—232no—
1212C25—264no—
1213C25—232no—
1214C25—416no—
1215C25—416no—
1216C25—416no—
1217C25—432no—
1218C25—432no—
1219C25—432no—
1220C25—4768no—
1221C25—416no—
1222C25—432no—
1223C25—416no—
1224C25—4384no—
1225C25—432no—
1226C25—416no—
1227C25—8512no—
1228C25C2514yes—
1229C25C2514yes—
1230C25C2514yes—
1231C25C2514yes—
1232C25C2512yes—
1233C25C25148yes—
1234C25C25148yes—
1235C25C2514yes—
1236C25C2511yescharacteristic
1237C25C25148yes—
1238C25C25196yes—
1239C25C25148yes—
1240C25C25148yes—
1241C25C251256yes—
1242C25C25148yes—
1243H(5,𝔽2)—44096no—
1244C2×#41—2384no—
1245C2×#41—2768no—
1246C2×#41—4384no—
1247C2×#41—4768no—
1248C2×#41—4768no—
1249C2×#41—496no—
1250C2×#41—4768no—
1251C2×#41—4384no—
1252C2×#41—4384no—
1253C2×#41—4384no—
1254C2×#41—4384no—
1255C2×#41—44096no—
1256C2×#41C251128yes—
1257C2×#41C251256yes—
1258C2×#41C25164yes—
1259C2×#41C251256yescomplemented
1260C2×#41C251512yescomplemented
1261C2×#41C251256yescomplemented
1262C2×#41C251256yescomplemented
1263C2×#41C251512yescomplemented
1264C2×#41C251256yescomplemented
1265C2×#41C251512yescomplemented
1266C2×#41C251256yescomplemented
1267C22×Q8—216no—
1268C22×Q8—232no—
1269C22×Q8—432no—
1270C22×Q8—44no—
1271C22×Q8—416no—
1272C22×Q8—4384no—
1273C22×Q8C25124yes—
1274C22×Q8C25148yes—
1275C22×Q8C25112yes—
1276C22×Q8C25148yes—
1277C22×Q8C25196yes—
1278C22×Q8C251256yescomplemented
1279C22×D4—232no—
1280C22×D4—264no—
1281C22×D4—264no—
1282C22×D4—232no—
1283C22×D4—264no—
1284C22×D4—232no—
1285C22×D4—232no—
1286C22×D4—216no—
1287C22×D4—2384no—
1288C22×D4—2768no—
1289C22×D4—2768no—
1290C22×D4—2384no—
1291C22×D4—216no—
1292C22×D4—232no—
1293C22×D4—232no—
1294C22×D4—216no—
1295C22×D4—4384no—
1296C22×D4—4384no—
1297C22×D4—4384no—
1298C22×D4—4384no—
1299C22×D4—432no—
1300C22×D4—432no—
1301C22×D4—432no—
1302C22×D4—416no—
1303C22×D4—432no—
1304C22×D4—416no—
1305C22×D4—416no—
1306C22×D4—432no—
1307C22×D4—432no—
1308C22×D4—48no—
1309C22×D4—48no—
1310C22×D4—416no—
1311C22×D4—4192no—
1312C22×D4—416no—
1313C22×D4—432no—
1314C22×D4—416no—
1315C22×D4—432no—
1316C22×D4—432no—
1317C22×D4—4768no—
1318C22×D4—44no—
1319C22×D4—44096no—
1320C22×D4—4768no—
1321C22×D4—4768no—
1322C22×D4—4768no—
1323C22×D4—4384no—
1324C22×D4—4384no—
1325C22×D4—4768no—
1326C22×D4—4768no—
1327C22×D4—4768no—
1328C22×D4H(5,𝔽2)132yescomplemented
1329C22×D4C25124yes—
1330C22×D4C25148yes—
1331C22×D4C25148yes—
1332C22×D4C25124yes—
1333C22×D4C25196yes—
1334C22×D4C25196yes—
1335C22×D4C25148yes—
1336C22×D4C25148yes—
1337C22×D4C25196yes—
1338C22×D4C25148yes—
1339C22×D4C25148yes—
1340C22×D4C25124yes—
1341C22×D4C251256yes—
1342C22×D4C251128yes—
1343C22×D4C251128yes—
1344C22×D4C251256yes—
1345C22×D4C25124yes—
1346C22×D4C25148yes—
1347C22×D4C25124yes—
1348C22×D4C25148yes—
1349C22×D4C25148yes—
1350C22×D4C25196yes—
1351C22×D4C25112yes—
1352C22×D4C251256yes—
1353C22×D4C251128yes—
1354C22×D4C251256yes—
1355C22×D4C25148yes—
1356C22×D4C25196yes—
1357C22×D4C25196yes—
1358C22×D4C25196yes—
1359C22×D4C25196yes—
1360C22×D4C25148yes—
1361C22×D4C25196yes—
1362C22×D4C25196yes—
1363C22×D4C25196yes—
1364C22×D4C251512yes—
1365C22×D4C25196yes—
1366C22×D4C25148yes—
1367C22×D4C251512yes—
1368C22×D4C251256yes—
1369C22×D4C251256yes—
1370C22×D4C251512yes—
1371C22×D4C251256yes—
1372C22×D4C25124yes—
1373C22×D4C251512yescomplemented
1374C22×D4C251512yescomplemented
1375C22×D4C251512yescomplemented
1376C22×D4C251512yescomplemented
1377C22×D4C251256yescomplemented
1378C23×C4—232no—
1379C23×C4—264no—
1380C23×C4—28no—
1381C23×C4—216no—
1382C23×C4—232no—
1383C23×C4—216no—
1384C23×C4—232no—
1385C23×C4—232no—
1386C23×C4—216no—
1387C23×C4—4384no—
1388C23×C4—4384no—
1389C23×C4—416no—
1390C23×C4—416no—
1391C23×C4—416no—
1392C23×C4—416no—
1393C23×C4—432no—
1394C23×C4—416no—
1395C23×C4—432no—
1396C23×C4—416no—
1397C23×C4—432no—
1398C23×C4—4768no—
1399C23×C4—416no—
1400C23×C4—416no—
1401C23×C4—432no—
1402C23×C4—432no—
1403C23×C4—48no—
1404C23×C4C25112yes—
1405C23×C4C25148yes—
1406C23×C4C25196yes—
1407C23×C4C25124yes—
1408C23×C4C25148yes—
1409C23×C4C25148yes—
1410C23×C4C25124yes—
1411C23×C4C25148yes—
1412C23×C4C25124yes—
1413C23×C4C2512yes—
1414C23×C4C2511yescharacteristic
1415C23×C4C2514yes—
1416C23×C4C2514yes—
1417C23×C4C2511yescharacteristic
1418C23×C4C2512yes—
1419C23×C4C2514yes—
1420C23×C4C2512yes—
1421C23×C4C2514yes—
1422C23×C4C2518yes—
1423C23×C4C2514yes—
1424C23×C4C2512yes—
1425C23×C4C25148yes—
1426C23×C4C25148yes—
1427C23×C4C25196yes—
1428C23×C4C25196yes—
1429C23×C4C25196yes—
1430C23×C4C25196yes—
1431C23×C4C25148yes—
1432C23×C4C25148yes—
1433C23×C4C25124yes—
1434C23×C4C25148yes—
1435C23×C4C25148yes—
1436C23×C4C25196yes—
1437C23×C4C25148yes—
1438C23×C4C25148yes—
1439C23×C4C251256yes—
1440C23×C4C2512yes—
1441C23×C4C251512yescomplemented
1442C23×C4C251256yescomplemented
1443C4⋊Q8C251128yescomplemented
1444C4⋊Q8C251128yescomplemented
1445C4⋊Q8C251256yescomplemented
1446#127C25164yes—
1447#127C25164yes—
1448#127C251256yes—
1449#127C251128yes—
1450#127C251128yes—
1451#127C251256yescomplemented
1452#127C251256yescomplemented
1453#127C251512yescomplemented
1454#126C251512yescomplemented
1455#126C251256yescomplemented
1456#126C251256yescomplemented
1457#126C251256yescomplemented
1458#126C251256yescomplemented
1459#126C251512yescomplemented
1460#126C251512yescomplemented
1461#126C251512yescomplemented
1462#125C251128yescomplemented
1463#125C251256yescomplemented
1464#125C251128yescomplemented
1465#125C251128yescomplemented
1466#125C251512yescomplemented
1467#124C251128yes—
1468#124C251256yes—
1469#124C251256yescomplemented
1470#124C251256yescomplemented
1471#124C251512yescomplemented
1472#124C251512yescomplemented
1473#124C251128yescomplemented
1474#124C251256yescomplemented
1475#124C251256yescomplemented
1476#124C251256yescomplemented
1477#124C251512yescomplemented
1478#124C251512yescomplemented
1479#124C251256yescomplemented
1480#124C251512yescomplemented
1481#124C251512yescomplemented
1482#123C251256yes—
1483#123C251512yes—
1484#123C251256yes—
1485#123C251512yescomplemented
1486#123C251512yescomplemented
1487#123C251512yescomplemented
1488#123C251512yescomplemented
1489#123C251512yescomplemented
1490#123C251512yescomplemented
1491#123C251256yescomplemented
1492#123C251512yescomplemented
1493#123C251256yescomplemented
1494#123C251256yescomplemented
1495#123C251512yescomplemented
1496#123C251512yescomplemented
1497#123C251256yescomplemented
1498#123C251512yescomplemented
1499#123C251256yescomplemented
1500#123C251256yescomplemented
1501#123C251512yescomplemented
1502#123C251256yescomplemented
1503#123C251512yescomplemented
1504#123C251512yescomplemented
1505#123C251512yescomplemented
1506#123C251256yescomplemented
1507C22⋊Q8C251128yes—
1508C22⋊Q8C251256yes—
1509C22⋊Q8C251512yes—
1510C22⋊Q8C251256yes—
1511C22⋊Q8C251256yescomplemented
1512C22⋊Q8C251256yescomplemented
1513C22⋊Q8C251512yescomplemented
1514C22⋊Q8C251256yescomplemented
1515C22⋊Q8C251256yescomplemented
1516C22⋊Q8C251512yescomplemented
1517C22⋊Q8C251256yescomplemented
1518C22⋊Q8C251256yescomplemented
1519C22⋊Q8C251512yescomplemented
1520C22⋊Q8C251512yescomplemented
1521C22⋊Q8C251256yescomplemented
1522C22⋊Q8C251128yescomplemented
1523C22⋊Q8C251256yescomplemented
1524C22⋊Q8C251512yescomplemented
1525C22⋊Q8C251512yescomplemented
1526C22⋊Q8C251512yescomplemented
1527#121C251256yes—
1528#121C251256yes—
1529#121C251128yes—
1530#121C251256yes—
1531#121C251512yes—
1532#121C251256yes—
1533#121C251512yes—
1534#121C251256yes—
1535#121C251256yes—
1536#121C251512yes—
1537#121C251128yes—
1538#121C251256yes—
1539#121C251256yes—
1540#121C251128yes—
1541#121C251512yescomplemented
1542#121C251256yescomplemented
1543#121C251128yescomplemented
1544#121C251256yescomplemented
1545#121C251512yescomplemented
1546#121C251512yescomplemented
1547#121C251512yescomplemented
1548#121C251512yescomplemented
1549#121C251512yescomplemented
1550#121C251256yescomplemented
1551#121C251512yescomplemented
1552#121C251512yescomplemented
1553#121C251512yescomplemented
1554#121C251512yescomplemented
1555#121C251512yescomplemented
1556#121C251512yescomplemented
1557#121C251256yescomplemented
1558#121C251256yescomplemented
1559#121C251256yescomplemented
1560#121C251256yescomplemented
1561#121C251256yescomplemented
1562#121C251512yescomplemented
1563#121C251256yescomplemented
1564#121C251256yescomplemented
1565#121C251512yescomplemented
1566#121C251512yescomplemented
1567#121C251512yescomplemented
1568#121C251512yescomplemented
1569#121C251512yescomplemented
1570#121C251512yescomplemented
1571#121C251512yescomplemented
1572#120C251256yes—
1573#120C251512yes—
1574#120C251256yes—
1575#120C251256yes—
1576#120C251256yes—
1577#120C251512yes—
1578#120C251512yes—
1579#120C251512yes—
1580#120C251512yes—
1581#120C251256yes—
1582#120C251256yes—
1583#120C251256yes—
1584#120C251512yescomplemented
1585#120C251512yescomplemented
1586#120C251512yescomplemented
1587#120C251512yescomplemented
1588#120C251512yescomplemented
1589#120C251512yescomplemented
1590#120C251512yescomplemented
1591#120C251256yescomplemented
1592#120C251256yescomplemented
1593#120C251512yescomplemented
1594#120C251256yescomplemented
1595#120C251512yescomplemented
1596C4×Q8C251128yescomplemented
1597C4×Q8C251128yescomplemented
1598C4×Q8C251128yescomplemented
1599C4×Q8C251256yescomplemented
1600C4×Q8C251256yescomplemented
1601C4×D4C251128yes—
1602C4×D4C251128yes—
1603C4×D4C251128yes—
1604C4×D4C251256yes—
1605C4×D4C251256yes—
1606C4×D4C251128yes—
1607C4×D4C251256yes—
1608C4×D4C251256yes—
1609C4×D4C251128yes—
1610C4×D4C251256yes—
1611C4×D4C251256yes—
1612C4×D4C251128yes—
1613C4×D4C251128yes—
1614C4×D4C251128yes—
1615C4×D4C251512yes—
1616C4×D4C251256yescomplemented
1617C4×D4C251512yescomplemented
1618C4×D4C251256yescomplemented
1619C4×D4C251256yescomplemented
1620C4×D4C251128yescomplemented
1621C4×D4C251256yescomplemented
1622C4×D4C251256yescomplemented
1623C4×D4C251128yescomplemented
1624C4×D4C251256yescomplemented
1625C4×D4C251512yescomplemented
1626C4×D4C251256yescomplemented
1627C4×D4C251256yescomplemented
1628C4×D4C251256yescomplemented
1629C4×D4C251128yescomplemented
1630C4×D4C251256yescomplemented
1631C4×D4C251256yescomplemented
1632C4×D4C251512yescomplemented
1633C4×D4C251512yescomplemented
1634C4×D4C251512yescomplemented
1635C4×D4C251512yescomplemented
1636C4×D4C251512yescomplemented
1637C4×D4C251256yescomplemented
1638C4×D4C251256yescomplemented
1639C4×D4C251256yescomplemented
1640C4×D4C251512yescomplemented
1641C4×D4C251512yescomplemented
1642#117C25164yes—
1643#117C251128yes—
1644#117C251256yescomplemented
1645#117C251128yescomplemented
1646#117C251128yescomplemented
1647#117C251256yescomplemented
1648#117C251256yescomplemented
1649#117C251512yescomplemented
1650#117C251256yescomplemented
1651#117C251512yescomplemented
1652C2×C4⋊C4C25124yes—
1653C2×C4⋊C4C25124yes—
1654C2×C4⋊C4C25148yes—
1655C2×C4⋊C4C251128yes—
1656C2×C4⋊C4C25124yes—
1657C2×C4⋊C4C25148yes—
1658C2×C4⋊C4C25124yes—
1659C2×C4⋊C4C25148yes—
1660C2×C4⋊C4C25196yes—
1661C2×C4⋊C4C25148yes—
1662C2×C4⋊C4C25148yes—
1663C2×C4⋊C4C25148yes—
1664C2×C4⋊C4C25196yes—
1665C2×C4⋊C4C25148yes—
1666C2×C4⋊C4C25196yes—
1667C2×C4⋊C4C25196yes—
1668C2×C4⋊C4C25124yes—
1669C2×C4⋊C4C25148yes—
1670C2×C4⋊C4C25124yes—
1671C2×C4⋊C4C25148yes—
1672C2×C4⋊C4C25196yes—
1673C2×C4⋊C4C25124yes—
1674C2×C4⋊C4C25148yes—
1675C2×C4⋊C4C25148yes—
1676C2×C4⋊C4C25148yes—
1677C2×C4⋊C4C25148yes—
1678C2×C4⋊C4C251256yescomplemented
1679C2×C4⋊C4C251256yescomplemented
1680C2×C4⋊C4C251128yescomplemented
1681C2×C4⋊C4C251512yescomplemented
1682C2×C4⋊C4C251256yescomplemented
1683C2×C22⋊C4C25112yes—
1684C2×C22⋊C4C25148yes—
1685C2×C22⋊C4C25148yes—
1686C2×C22⋊C4C25112yes—
1687C2×C22⋊C4C25148yes—
1688C2×C22⋊C4C25148yes—
1689C2×C22⋊C4C251256yes—
1690C2×C22⋊C4C25196yes—
1691C2×C22⋊C4C251256yes—
1692C2×C22⋊C4C25196yes—
1693C2×C22⋊C4C25196yes—
1694C2×C22⋊C4C251512yes—
1695C2×C22⋊C4C25148yes—
1696C2×C22⋊C4C25148yes—
1697C2×C22⋊C4C251256yes—
1698C2×C22⋊C4C25148yes—
1699C2×C22⋊C4C25196yes—
1700C2×C22⋊C4C25148yes—
1701C2×C22⋊C4C25148yes—
1702C2×C22⋊C4C25148yes—
1703C2×C22⋊C4C25148yes—
1704C2×C22⋊C4C25148yes—
1705C2×C22⋊C4C251256yes—
1706C2×C22⋊C4C25196yes—
1707C2×C22⋊C4C251256yes—
1708C2×C22⋊C4C251256yes—
1709C2×C22⋊C4C25148yes—
1710C2×C22⋊C4C25148yes—
1711C2×C22⋊C4C25148yes—
1712C2×C22⋊C4C25196yes—
1713C2×C22⋊C4C25124yes—
1714C2×C22⋊C4C25148yes—
1715C2×C22⋊C4C25196yes—
1716C2×C22⋊C4C25148yes—
1717C2×C22⋊C4C25148yes—
1718C2×C22⋊C4C25196yes—
1719C2×C22⋊C4C25148yes—
1720C2×C22⋊C4C25196yes—
1721C2×C22⋊C4C25196yes—
1722C2×C22⋊C4C25196yes—
1723C2×C22⋊C4C25196yes—
1724C2×C22⋊C4C25148yes—
1725C2×C22⋊C4C25148yes—
1726C2×C22⋊C4C25124yes—
1727C2×C22⋊C4C25148yes—
1728C2×C22⋊C4C25148yes—
1729C2×C22⋊C4C25148yes—
1730C2×C22⋊C4C251512yescomplemented
1731C2×C22⋊C4C251512yescomplemented
1732C2×C22⋊C4C251512yescomplemented
1733C2×C22⋊C4C251512yescomplemented
1734C2×C22⋊C4C251256yescomplemented
1735C2×C22⋊C4C251256yescomplemented
1736C2×C22⋊C4C251512yescomplemented
1737C2×C22⋊C4C251512yescomplemented
1738C2×C22⋊C4C251512yescomplemented
1739C2×C42C25124yes—
1740C2×C42C25148yes—
1741C2×C42C25148yes—
1742C2×C42C25196yes—
1743C2×C42C25124yes—
1744C2×C42C25112yes—
1745C2×C42C25148yes—
1746C2×C42C25124yes—
1747C2×C42C25112yes—
1748C2×C42C25124yes—
1749C2×C42C25148yes—
1750C2×C42C25164yes—
1751C2×C42C251256yescomplemented
1752C2×C42C251128yescomplemented
1753C24—216no—
1754C24—28no—
1755C24—216no—
1756C24—28no—
1757C24—216no—
1758C24—216no—
1759C24—28no—
1760C24—2384no—
1761C24—232no—
1762C24—216no—
1763C24—232no—
1764C24—2192no—
1765C24—216no—
1766C24—28no—
1767C24—216no—
1768C24—216no—
1769C24—216no—
1770C24—2192no—
1771C24—216no—
1772C24—2192no—
1773C24—2384no—
1774C24—2192no—
1775C24—496no—
1776C24—496no—
1777C24—496no—
1778C24—4192no—
1779C24—4192no—
1780C24—4192no—
1781C24—41024no—
1782C24—496no—
1783C24—4192no—
1784C24—496no—
1785C24—4512no—
1786C24—4192no—
1787C24—496no—
1788C24—4256no—
1789C24—4256no—
1790C24—8128no—
1791C24—8128no—
1792C24—8256no—
1793C24—83072no—
1794C24—8128no—
1795C24—1664no—
1796C24C2×H(5,𝔽2)132yes—
1797C24#58518yes—
1798C24C26124yes—
1799C24C26124yes—
1800C24C26124yes—
1801C24C26124yes—
1802C24C26112yes—
1803C24C26164yes—
1804C24C26164yes—
1805C24C26124yes—
1806C24C2616yes—
1807C24C26164yes—
1808C24C261128yes—
1809C24C26164yes—
1810C24C26164yes—
1811C24C26164yes—
1812C24C2611yescharacteristic
1813#41—2512no—
1814#41—21024no—
1815#41—4512no—
1816#41—41024no—
1817#41—41024no—
1818#41—4128no—
1819#41—41024no—
1820#41—4512no—
1821#41—4512no—
1822#41—4512no—
1823#41—4512no—
1824C2×Q8—296no—
1825C2×Q8—2192no—
1826C2×Q8—4192no—
1827C2×Q8—424no—
1828C2×Q8—496no—
1829C2×Q8—4512no—
1830C2×Q8C26132yes—
1831C2×Q8C26164yes—
1832C2×Q8C26116yes—
1833C2×Q8C26164yes—
1834C2×Q8C261128yes—
1835C2×D4—2192no—
1836C2×D4—2384no—
1837C2×D4—2384no—
1838C2×D4—2192no—
1839C2×D4—2384no—
1840C2×D4—2192no—
1841C2×D4—2192no—
1842C2×D4—296no—
1843C2×D4—2512no—
1844C2×D4—21024no—
1845C2×D4—21024no—
1846C2×D4—2512no—
1847C2×D4—296no—
1848C2×D4—2192no—
1849C2×D4—2192no—
1850C2×D4—296no—
1851C2×D4—4512no—
1852C2×D4—4512no—
1853C2×D4—4512no—
1854C2×D4—4512no—
1855C2×D4—4192no—
1856C2×D4—4192no—
1857C2×D4—4192no—
1858C2×D4—496no—
1859C2×D4—4192no—
1860C2×D4—496no—
1861C2×D4—496no—
1862C2×D4—4192no—
1863C2×D4—4192no—
1864C2×D4—448no—
1865C2×D4—448no—
1866C2×D4—496no—
1867C2×D4—4256no—
1868C2×D4—496no—
1869C2×D4—4192no—
1870C2×D4—496no—
1871C2×D4—4192no—
1872C2×D4—4192no—
1873C2×D4—41024no—
1874C2×D4—424no—
1875C2×D4—41024no—
1876C2×D4—41024no—
1877C2×D4—41024no—
1878C2×D4—4512no—
1879C2×D4—4512no—
1880C2×D4—41024no—
1881C2×D4—41024no—
1882C2×D4—41024no—
1883C2×D4C2×H(5,𝔽2)1192yescomplemented
1884C2×D4C26132yes—
1885C2×D4C26164yes—
1886C2×D4C26164yes—
1887C2×D4C26132yes—
1888C2×D4C261128yes—
1889C2×D4C261128yes—
1890C2×D4C26164yes—
1891C2×D4C26164yes—
1892C2×D4C261128yes—
1893C2×D4C26164yes—
1894C2×D4C26164yes—
1895C2×D4C26132yes—
1896C2×D4C26132yes—
1897C2×D4C26164yes—
1898C2×D4C26132yes—
1899C2×D4C26164yes—
1900C2×D4C26164yes—
1901C2×D4C261128yes—
1902C2×D4C26116yes—
1903C2×D4C26164yes—
1904C2×D4C261128yes—
1905C2×D4C261128yes—
1906C2×D4C261128yes—
1907C2×D4C261128yes—
1908C2×D4C26164yes—
1909C2×D4C261128yes—
1910C2×D4C261128yes—
1911C2×D4C261128yes—
1912C2×D4C261128yes—
1913C2×D4C26164yes—
1914C2×D4C26132yes—
1915C22×C4—28no—
1916C22×C4—216no—
1917C22×C4—28no—
1918C22×C4—216no—
1919C22×C4—216no—
1920C22×C4—28no—
1921C22×C4—232no—
1922C22×C4—216no—
1923C22×C4—2192no—
1924C22×C4—2384no—
1925C22×C4—24no—
1926C22×C4—24no—
1927C22×C4—248no—
1928C22×C4—216no—
1929C22×C4—28no—
1930C22×C4—296no—
1931C22×C4—2192no—
1932C22×C4—296no—
1933C22×C4—2192no—
1934C22×C4—2192no—
1935C22×C4—296no—
1936C22×C4—4512no—
1937C22×C4—4512no—
1938C22×C4—496no—
1939C22×C4—496no—
1940C22×C4—496no—
1941C22×C4—496no—
1942C22×C4—4192no—
1943C22×C4—496no—
1944C22×C4—4192no—
1945C22×C4—496no—
1946C22×C4—4192no—
1947C22×C4—41024no—
1948C22×C4—496no—
1949C22×C4—496no—
1950C22×C4—4192no—
1951C22×C4—4192no—
1952C22×C4—448no—
1953C22×C4C2×H(5,𝔽2)116yes—
1954C22×C4C2616yes—
1955C22×C4C26112yes—
1956C22×C4C2616yes—
1957C22×C4C26124yes—
1958C22×C4C26112yes—
1959C22×C4C26124yes—
1960C22×C4C26112yes—
1961C22×C4C26124yes—
1962C22×C4C26148yes—
1963C22×C4C26124yes—
1964C22×C4C26116yes—
1965C22×C4C26112yes—
1966C22×C4C26132yes—
1967C22×C4C26164yes—
1968C22×C4C26164yes—
1969C22×C4C26132yes—
1970C22×C4C26132yes—
1971C22×C4C26124yes—
1972C22×C4C261128yes—
1973C22×C4C26164yes—
1974C22×C4C26164yes—
1975C22×C4C26164yes—
1976C22×C4C26132yes—
1977C22×C4C26164yes—
1978C22×C4C26164yes—
1979C22×C4C261128yes—
1980C22×C4C261128yes—
1981C22×C4C261128yes—
1982C22×C4C261128yes—
1983C22×C4C26164yes—
1984C22×C4C26164yes—
1985C22×C4C26164yes—
1986C22×C4C261128yes—
1987C22×C4C26164yes—
1988C22×C4C26164yes—
1989C22×C4C26112yes—
1990C4⋊C4C26132yes—
1991C4⋊C4C26132yes—
1992C4⋊C4C26164yes—
1993C4⋊C4C26132yes—
1994C4⋊C4C26164yes—
1995C4⋊C4C26132yes—
1996C4⋊C4C26164yes—
1997C4⋊C4C261128yes—
1998C4⋊C4C26164yes—
1999C4⋊C4C26164yes—
2000C4⋊C4C26164yes—
2001C4⋊C4C261128yes—
2002C4⋊C4C26164yes—
2003C4⋊C4C261128yes—
2004C4⋊C4C261128yes—
2005C4⋊C4C26132yes—
2006C4⋊C4C26164yes—
2007C4⋊C4C26132yes—
2008C4⋊C4C26164yes—
2009C4⋊C4C261128yes—
2010C4⋊C4C26132yes—
2011C4⋊C4C26164yes—
2012C4⋊C4C26164yes—
2013C4⋊C4C26164yes—
2014C4⋊C4C26164yes—
2015C22⋊C4C26116yes—
2016C22⋊C4C26164yes—
2017C22⋊C4C26164yes—
2018C22⋊C4C26116yes—
2019C22⋊C4C26164yes—
2020C22⋊C4C26164yes—
2021C22⋊C4C261128yes—
2022C22⋊C4C261128yes—
2023C22⋊C4C261128yes—
2024C22⋊C4C26164yes—
2025C22⋊C4C26164yes—
2026C22⋊C4C26164yes—
2027C22⋊C4C261128yes—
2028C22⋊C4C26164yes—
2029C22⋊C4C26164yes—
2030C22⋊C4C26164yes—
2031C22⋊C4C26164yes—
2032C22⋊C4C26164yes—
2033C22⋊C4C261128yes—
2034C22⋊C4C26164yes—
2035C22⋊C4C26164yes—
2036C22⋊C4C26164yes—
2037C22⋊C4C261128yes—
2038C22⋊C4C26132yes—
2039C22⋊C4C26164yes—
2040C22⋊C4C261128yes—
2041C22⋊C4C26164yes—
2042C22⋊C4C26164yes—
2043C22⋊C4C261128yes—
2044C22⋊C4C26164yes—
2045C22⋊C4C261128yes—
2046C22⋊C4C261128yes—
2047C22⋊C4C261128yes—
2048C22⋊C4C261128yes—
2049C22⋊C4C26164yes—
2050C22⋊C4C26164yes—
2051C22⋊C4C26132yes—
2052C22⋊C4C26164yes—
2053C22⋊C4C26164yes—
2054C22⋊C4C26164yes—
2055C42C26116yes—
2056C42C26132yes—
2057C42C26116yes—
2058C42C26132yes—
2059C42C26132yes—
2060C42C26164yes—
2061C42C26164yes—
2062C42C26132yes—
2063C42C26164yes—
2064C42C26164yes—
2065C42C261128yes—
2066C23—232no—
2067C23—2128no—
2068C23—248no—
2069C23—224no—
2070C23—248no—
2071C23—224no—
2072C23—248no—
2073C23—248no—
2074C23—224no—
2075C23—2256no—
2076C23—296no—
2077C23—248no—
2078C23—296no—
2079C23—2128no—
2080C23—248no—
2081C23—224no—
2082C23—248no—
2083C23—248no—
2084C23—248no—
2085C23—2128no—
2086C23—248no—
2087C23—2128no—
2088C23—2256no—
2089C23—2128no—
2090C23—464no—
2091C23—464no—
2092C23—464no—
2093C23—4128no—
2094C23—4128no—
2095C23—4128no—
2096C23—464no—
2097C23—4128no—
2098C23—464no—
2099C23—4128no—
2100C23—464no—
2101C23—4768no—
2102C23—4768no—
2103C23—464no—
2104C23—464no—
2105C23—432no—
2106C23—464no—
2107C23—464no—
2108C23—8384no—
2109C23—8384no—
2110C23—8768no—
2111C23—82048no—
2112C23—8384no—
2113C23—16192no—
2114C23C22×H(5,𝔽2)196yes—
2115C23C22×H(5,𝔽2)18yes—
2116C23C2×#585124yes—
2117C23C2×#58514yes—
2118C23C27116yes—
2119C23C27116yes—
2120C23C27116yes—
2121C23C27116yes—
2122C23C2718yes—
2123C23C27116yes—
2124C23C2714yes—
2125C23C2713yes—
2126Q8—264no—
2127Q8—2128no—
2128Q8—4128no—
2129Q8—416no—
2130Q8—464no—
2131D4—2128no—
2132D4—2256no—
2133D4—2256no—
2134D4—2128no—
2135D4—2256no—
2136D4—2128no—
2137D4—2128no—
2138D4—264no—
2139D4—264no—
2140D4—2128no—
2141D4—2128no—
2142D4—264no—
2143D4—4128no—
2144D4—4128no—
2145D4—4128no—
2146D4—464no—
2147D4—4128no—
2148D4—464no—
2149D4—464no—
2150D4—4128no—
2151D4—4128no—
2152D4—432no—
2153D4—432no—
2154D4—464no—
2155D4—464no—
2156D4—4128no—
2157D4—464no—
2158D4—4128no—
2159D4—4128no—
2160D4—416no—
2161D4C22×H(5,𝔽2)1128yescomplemented
2162C2×C4—224no—
2163C2×C4—248no—
2164C2×C4—224no—
2165C2×C4—248no—
2166C2×C4—248no—
2167C2×C4—224no—
2168C2×C4—296no—
2169C2×C4—248no—
2170C2×C4—2128no—
2171C2×C4—2256no—
2172C2×C4—212no—
2173C2×C4—212no—
2174C2×C4—232no—
2175C2×C4—248no—
2176C2×C4—224no—
2177C2×C4—264no—
2178C2×C4—2128no—
2179C2×C4—264no—
2180C2×C4—2128no—
2181C2×C4—2128no—
2182C2×C4—264no—
2183C2×C4—464no—
2184C2×C4—464no—
2185C2×C4—464no—
2186C2×C4—464no—
2187C2×C4—4128no—
2188C2×C4—464no—
2189C2×C4—4128no—
2190C2×C4—464no—
2191C2×C4—4128no—
2192C2×C4—464no—
2193C2×C4—464no—
2194C2×C4—4128no—
2195C2×C4—4128no—
2196C2×C4—432no—
2197C2×C4C22×H(5,𝔽2)148yes—
2198C2×C4C2714yes—
2199C2×C4C2718yes—
2200C2×C4C2714yes—
2201C2×C4C27116yes—
2202C2×C4C2718yes—
2203C2×C4C27116yes—
2204C2×C4C2718yes—
2205C2×C4C27116yes—
2206C2×C4C27132yes—
2207C2×C4C27116yes—
2208C2×C4C2718yes—
2209C2×C4C27116yes—
2210C2×C4C2718yes—
2211C22—216no—
2212C22—28no—
2213C22—216no—
2214C22—248no—
2215C22—2192no—
2216C22—28no—
2217C22—216no—
2218C22—216no—
2219C22—28no—
2220C22—232no—
2221C22—216no—
2222C22—232no—
2223C22—216no—
2224C22—28no—
2225C22—216no—
2226C22—216no—
2227C22—216no—
2228C22—216no—
2229C22—4256no—
2230C22—4256no—
2231C22—496no—
2232C22—496no—
2233C22—448no—
2234C22—496no—
2235C22—496no—
2236C22—8128no—
2237C22—8128no—
2238C22—8256no—
2239C22—8128no—
2240C22—1664no—
2241C22#63012116yesdirect product factor
2242C22C23×H(5,𝔽2)132yes—
2243C22C23×H(5,𝔽2)112yes—
2244C22C22×#58518yes—
2245C22C22×#58516yes—
2246C22C2811yescharacteristic
2247C4—28no—
2248C4—216no—
2249C4—28no—
2250C4—216no—
2251C4—216no—
2252C4—28no—
2253C4—232no—
2254C4—216no—
2255C4—24no—
2256C4—24no—
2257C4—216no—
2258C4—28no—
2259C4C23×H(5,𝔽2)116yes—
2260C2—28no—
2261C2—232no—
2262C2—416no—
2263C2—416no—
2264C2—48no—
2265C2—416no—
2266C2—416no—
2267C2C2×#63012112yesdirect product factor
2268C2C24×H(5,𝔽2)12yes—
2269C2C23×#58511yescharacteristic
subgroupG/H
center, socleC24C26
commutator, Frattini, cosocleC22C28
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#63012C2direct (N × H)
2. C22×#3546C2semidirect
3. C22×#3543C2semidirect
4. C22×#3558C2semidirect
5. C22×#3536C2semidirect
6. C22×#3534C2semidirect
7. C22×#3542C2semidirect
8. C22×#3532C2semidirect
9. C22×#3508C2semidirect
10. C22×#3488C2semidirect
11. C22×#3514C2semidirect
12. C22×#3520C2semidirect
13. C22×#3519C2semidirect
14. C22×#3513C2semidirect
15. C22×#3490C2semidirect
16. C22×#3496C2semidirect
17. C22×#3484C2semidirect
18. C22×#3481C2semidirect
19. C22×D4×#41C2semidirect
20. C23×#546C2semidirect
21. C23×D42C2semidirect
22. C23×H(5,𝔽2)C22semidirect
23. C24×#41C22semidirect
24. C25×D4C22semidirect
25. #63012C22direct (N × H)
26. C2×#3508C22semidirect
27. C2×#3488C22semidirect
28. C2×#3514C22semidirect
29. C2×#3520C22semidirect
30. C2×#3519C22semidirect
31. C2×#3513C22semidirect
32. C2×#3490C22semidirect
33. C2×#3496C22semidirect
34. C2×#3484C22semidirect
35. C2×#3546C22semidirect
36. C2×#3543C22semidirect
37. C2×#3558C22semidirect
38. C2×#3536C22semidirect
39. C2×#3534C22semidirect
40. C2×#3542C22semidirect
41. C2×#3532C22semidirect
42. C2×#3481C22semidirect
43. C22×#559C22semidirect
44. C22×#559C22semidirect
45. C22×#559C22semidirect
46. C22×#555C22semidirect
47. C22×#556C22semidirect
48. C22×#553C22semidirect
49. C22×#553C22semidirect
50. C22×#553C22semidirect
51. C22×#553C22semidirect
52. C22×#553C22semidirect
53. C22×#552C22semidirect
54. C22×#551C22semidirect
55. C22×#551C22semidirect
56. C22×#551C22semidirect
57. C22×#551C22semidirect
58. C22×#551C22semidirect
59. C22×#551C22semidirect
60. C22×#554C22semidirect
61. C22×#554C22semidirect
62. C22×#554C22semidirect
63. C2×D4×#41C22semidirect
64. C22×#550C22semidirect
65. C22×#550C22semidirect
66. C22×#550C22semidirect
67. C22×#547C22semidirect
68. C22×#547C22semidirect
69. C22×#547C22semidirect
70. C22×#547C22semidirect
71. C22×#548C22semidirect
72. C22×#548C22semidirect
73. C22×#548C22semidirect
74. C22×#546C22semidirect
75. C22×#546C22semidirect
76. C22×#546C22semidirect
77. C22×#546C22semidirect
78. C22×#546C22semidirect
79. C22×#546C22semidirect
80. C22×#546C22semidirect
81. C22×#546C22semidirect
82. C22×#546C22semidirect
83. C22×#546C22semidirect
84. C22×#546C22semidirect
85. C22×#546C22semidirect
86. C22×#546C22semidirect
87. C22×#546C22semidirect
88. C22×#546C22semidirect
89. C22×#546C22semidirect
90. C22×#546C22semidirect
91. C22×#546C22semidirect
92. C22×#546C22semidirect
93. C22×#546C22semidirect
94. C22×#546C22semidirect
95. C22×#546C22semidirect
96. C22×#546C22semidirect
97. C22×#546C22semidirect
98. C22×#546C22semidirect
99. C22×D4×Q8C22semidirect
100. C22×D42C22semidirect
101. C22×D42C22semidirect
102. C22×D42C22semidirect
103. C22×D42C22semidirect
104. C22×D42C22semidirect
105. C22×D42C22semidirect
106. C22×D42C22semidirect
107. C22×D42C22semidirect
108. C22×D42C22semidirect
109. C22×D42C22semidirect
110. C22×D42C22semidirect
111. C22×D42C22semidirect
112. C22×D42C22semidirect
113. C22×D42C22semidirect
114. C22×D42C22semidirect
115. C22×#562C22semidirect
116. C22×#562C22semidirect
117. C22×H(3,𝔽4)C22semidirect
118. C22×#560C22semidirect
119. C22×#560C22semidirect
120. C22×#560C22semidirect
121. C22×#542C22semidirect
122. C22×#542C22semidirect
123. C22×#542C22semidirect
124. C22×#540C22semidirect
125. C22×#540C22semidirect
126. C22×#540C22semidirect
127. C22×#537C22semidirect
128. C22×#537C22semidirect
129. C22×#537C22semidirect
130. C22×#535C22semidirect
131. C22×#535C22semidirect
132. C22×#535C22semidirect
133. C22×#535C22semidirect
134. C22×#535C22semidirect
135. C22×#539C22semidirect
136. C22×#539C22semidirect
137. C22×#538C22semidirect
138. C22×#538C22semidirect
139. C22×#538C22semidirect
140. C22×#538C22semidirect
141. C22×#538C22semidirect
142. C22×#538C22semidirect
143. C22×#543C22semidirect
144. C22×#534C22semidirect
145. C22×#534C22semidirect
146. C22×#534C22semidirect
147. C22×#534C22semidirect
148. C22×#533C22semidirect
149. C22×#532C22semidirect
150. C22×#532C22semidirect
151. C22×#532C22semidirect
152. C22×#532C22semidirect
153. C23×#127C22semidirect
154. C22×#529C22semidirect
155. C22×#529C22semidirect
156. C22×#529C22semidirect
157. C22×#529C22semidirect
158. C23×#124C22semidirect
159. C22×#525C22semidirect
160. C22×#525C22semidirect
161. C22×#525C22semidirect
162. C22×#525C22semidirect
163. C22×#525C22semidirect
164. C22×#525C22semidirect
165. C23×#123C22semidirect
166. C23×C22⋊Q8C22semidirect
167. C23×#121C22semidirect
168. C23×#121C22semidirect
169. C23×#121C22semidirect
170. C23×#121C22semidirect
171. C23×#120C22semidirect
172. C23×#120C22semidirect
173. C23×#120C22semidirect
174. C22×#520C22semidirect
175. C22×#518C22semidirect
176. C22×#518C22semidirect
177. C22×#518C22semidirect
178. C22×C4×#41C22semidirect
179. C22×C4×#41C22semidirect
180. C23×C4×D4C22semidirect
181. C23×C4×D4C22semidirect
182. C23×C4×D4C22semidirect
183. C23×C4×D4C22semidirect
184. C24×C22⋊C4C22semidirect
187. C22×H(5,𝔽2)C23semidirect
192. C23×#41C23semidirect
193. C23×#41C23semidirect
194. C23×#41C23semidirect
195. C23×#41C23semidirect
196. C23×#41C23semidirect
197. C23×#41C23semidirect
198. C23×#41C23semidirect
199. C23×#41C23semidirect
200. C23×#41C23semidirect
201. C24×Q8C23semidirect
216. C24×D4C23semidirect
217. C24×D4C23semidirect
218. C24×D4C23semidirect
219. C24×D4C23semidirect
220. C24×D4C23semidirect
221. C24×D4C23semidirect
223. C25×C4C23semidirect
224. C25×C4C23semidirect
225. #3558C23semidirect
226. #3546C23semidirect
227. #3543C23semidirect
228. #3542C23semidirect
229. #3536C23semidirect
230. #3534C23semidirect
231. #3532C23semidirect
232. C2×#562C23semidirect
233. C2×#562C23semidirect
234. C2×H(3,𝔽4)C23semidirect
235. C2×#560C23semidirect
236. C2×#560C23semidirect
237. C2×#560C23semidirect
238. #3520C23semidirect
239. #3519C23semidirect
240. #3514C23semidirect
241. #3513C23semidirect
242. #3508C23semidirect
243. #3496C23semidirect
244. #3490C23semidirect
245. #3488C23semidirect
246. #3484C23semidirect
247. #3481C23semidirect
248. C2×#559C23semidirect
249. C2×#559C23semidirect
250. C2×#559C23semidirect
251. C2×#556C23semidirect
252. C2×#555C23semidirect
253. C2×#554C23semidirect
254. C2×#554C23semidirect
255. C2×#554C23semidirect
256. C2×#553C23semidirect
257. C2×#553C23semidirect
258. C2×#553C23semidirect
259. C2×#553C23semidirect
260. C2×#553C23semidirect
261. C2×#552C23semidirect
262. C2×#551C23semidirect
263. C2×#551C23semidirect
264. C2×#551C23semidirect
265. C2×#551C23semidirect
266. C2×#551C23semidirect
267. C2×#551C23semidirect
268. D4×#41C23semidirect
269. C2×#550C23semidirect
270. C2×#550C23semidirect
271. C2×#550C23semidirect
272. C2×D4×Q8C23semidirect
273. C2×#548C23semidirect
274. C2×#548C23semidirect
275. C2×#548C23semidirect
276. C2×#547C23semidirect
277. C2×#547C23semidirect
278. C2×#547C23semidirect
279. C2×#547C23semidirect
280. C2×#546C23semidirect
281. C2×#546C23semidirect
282. C2×#546C23semidirect
283. C2×#546C23semidirect
284. C2×#546C23semidirect
285. C2×#546C23semidirect
286. C2×#546C23semidirect
287. C2×#546C23semidirect
288. C2×#546C23semidirect
289. C2×#546C23semidirect
290. C2×#546C23semidirect
291. C2×#546C23semidirect
292. C2×#546C23semidirect
293. C2×#546C23semidirect
294. C2×#546C23semidirect
295. C2×#546C23semidirect
296. C2×#546C23semidirect
297. C2×#546C23semidirect
298. C2×#546C23semidirect
299. C2×#546C23semidirect
300. C2×#546C23semidirect
301. C2×#546C23semidirect
302. C2×#546C23semidirect
303. C2×#546C23semidirect
304. C2×#546C23semidirect
305. C2×D42C23semidirect
306. C2×D42C23semidirect
307. C2×D42C23semidirect
308. C2×D42C23semidirect
309. C2×D42C23semidirect
310. C2×D42C23semidirect
311. C2×D42C23semidirect
312. C2×D42C23semidirect
313. C2×D42C23semidirect
314. C2×D42C23semidirect
315. C2×D42C23semidirect
316. C2×D42C23semidirect
317. C2×D42C23semidirect
318. C2×D42C23semidirect
319. C2×D42C23semidirect
320. C2×#543C23semidirect
321. C2×#542C23semidirect
322. C2×#542C23semidirect
323. C2×#542C23semidirect
324. C2×#540C23semidirect
325. C2×#540C23semidirect
326. C2×#540C23semidirect
327. C2×#539C23semidirect
328. C2×#539C23semidirect
329. C2×#538C23semidirect
330. C2×#538C23semidirect
331. C2×#538C23semidirect
332. C2×#538C23semidirect
333. C2×#538C23semidirect
334. C2×#538C23semidirect
335. C2×#537C23semidirect
336. C2×#537C23semidirect
337. C2×#537C23semidirect
338. C2×#535C23semidirect
339. C2×#535C23semidirect
340. C2×#535C23semidirect
341. C2×#535C23semidirect
342. C2×#535C23semidirect
343. C2×#534C23semidirect
344. C2×#534C23semidirect
345. C2×#534C23semidirect
346. C2×#534C23semidirect
347. C2×#533C23semidirect
348. C2×#532C23semidirect
349. C2×#532C23semidirect
350. C2×#532C23semidirect
351. C2×#532C23semidirect
352. C22×C4⋊Q8C23semidirect
353. C22×C4⋊Q8C23semidirect
354. C22×C4⋊Q8C23semidirect
360. C22×#127C23semidirect
361. C22×#127C23semidirect
362. C22×#127C23semidirect
363. C22×#127C23semidirect
364. C2×#529C23semidirect
365. C2×#529C23semidirect
366. C2×#529C23semidirect
367. C2×#529C23semidirect
368. C22×#126C23semidirect
369. C22×#126C23semidirect
370. C22×#126C23semidirect
371. C22×#126C23semidirect
372. C22×#126C23semidirect
373. C22×#126C23semidirect
374. C22×#126C23semidirect
375. C22×#126C23semidirect
376. C22×#125C23semidirect
377. C22×#125C23semidirect
378. C22×#125C23semidirect
379. C22×#125C23semidirect
380. C22×#125C23semidirect
383. C22×#124C23semidirect
384. C22×#124C23semidirect
385. C22×#124C23semidirect
386. C22×#124C23semidirect
387. C22×#124C23semidirect
388. C22×#124C23semidirect
389. C22×#124C23semidirect
390. C22×#124C23semidirect
391. C22×#124C23semidirect
392. C22×#124C23semidirect
393. C22×#124C23semidirect
394. C22×#124C23semidirect
395. C22×#124C23semidirect
396. C22×#124C23semidirect
397. C2×#525C23semidirect
398. C2×#525C23semidirect
399. C2×#525C23semidirect
400. C2×#525C23semidirect
401. C2×#525C23semidirect
402. C2×#525C23semidirect
406. C22×#123C23semidirect
407. C22×#123C23semidirect
408. C22×#123C23semidirect
409. C22×#123C23semidirect
410. C22×#123C23semidirect
411. C22×#123C23semidirect
412. C22×#123C23semidirect
413. C22×#123C23semidirect
414. C22×#123C23semidirect
415. C22×#123C23semidirect
416. C22×#123C23semidirect
417. C22×#123C23semidirect
418. C22×#123C23semidirect
419. C22×#123C23semidirect
420. C22×#123C23semidirect
421. C22×#123C23semidirect
422. C22×#123C23semidirect
423. C22×#123C23semidirect
424. C22×#123C23semidirect
425. C22×#123C23semidirect
426. C22×#123C23semidirect
427. C22×#123C23semidirect
428. C22×#123C23semidirect
433. C22×C22⋊Q8C23semidirect
434. C22×C22⋊Q8C23semidirect
435. C22×C22⋊Q8C23semidirect
436. C22×C22⋊Q8C23semidirect
437. C22×C22⋊Q8C23semidirect
438. C22×C22⋊Q8C23semidirect
439. C22×C22⋊Q8C23semidirect
440. C22×C22⋊Q8C23semidirect
441. C22×C22⋊Q8C23semidirect
442. C22×C22⋊Q8C23semidirect
443. C22×C22⋊Q8C23semidirect
444. C22×C22⋊Q8C23semidirect
445. C22×C22⋊Q8C23semidirect
446. C22×C22⋊Q8C23semidirect
447. C22×C22⋊Q8C23semidirect
448. C22×C22⋊Q8C23semidirect
449. C22×C22⋊Q8C23semidirect
464. C22×#121C23semidirect
465. C22×#121C23semidirect
466. C22×#121C23semidirect
467. C22×#121C23semidirect
468. C22×#121C23semidirect
469. C22×#121C23semidirect
470. C22×#121C23semidirect
471. C22×#121C23semidirect
472. C22×#121C23semidirect
473. C22×#121C23semidirect
474. C22×#121C23semidirect
475. C22×#121C23semidirect
476. C22×#121C23semidirect
477. C22×#121C23semidirect
478. C22×#121C23semidirect
479. C22×#121C23semidirect
480. C22×#121C23semidirect
481. C22×#121C23semidirect
482. C22×#121C23semidirect
483. C22×#121C23semidirect
484. C22×#121C23semidirect
485. C22×#121C23semidirect
486. C22×#121C23semidirect
487. C22×#121C23semidirect
488. C22×#121C23semidirect
489. C22×#121C23semidirect
490. C22×#121C23semidirect
491. C22×#121C23semidirect
492. C22×#121C23semidirect
493. C22×#121C23semidirect
494. C22×#121C23semidirect
495. C22×#121C23semidirect
496. C22×#121C23semidirect
497. C22×#121C23semidirect
498. C22×#121C23semidirect
511. C22×#120C23semidirect
512. C22×#120C23semidirect
513. C22×#120C23semidirect
514. C22×#120C23semidirect
515. C22×#120C23semidirect
516. C22×#120C23semidirect
517. C22×#120C23semidirect
518. C22×#120C23semidirect
519. C22×#120C23semidirect
520. C22×#120C23semidirect
521. C22×#120C23semidirect
522. C22×#120C23semidirect
523. C22×#120C23semidirect
524. C22×#120C23semidirect
525. C22×#120C23semidirect
526. C2×#520C23semidirect
527. C2×#518C23semidirect
528. C2×#518C23semidirect
529. C2×#518C23semidirect
530. C2×C4×#41C23semidirect
531. C2×C4×#41C23semidirect
532. C22×C4×Q8C23semidirect
533. C22×C4×Q8C23semidirect
534. C22×C4×Q8C23semidirect
535. C22×C4×Q8C23semidirect
536. C22×C4×Q8C23semidirect
552. C22×C4×D4C23semidirect
553. C22×C4×D4C23semidirect
554. C22×C4×D4C23semidirect
555. C22×C4×D4C23semidirect
556. C22×C4×D4C23semidirect
557. C22×C4×D4C23semidirect
558. C22×C4×D4C23semidirect
559. C22×C4×D4C23semidirect
560. C22×C4×D4C23semidirect
561. C22×C4×D4C23semidirect
562. C22×C4×D4C23semidirect
563. C22×C4×D4C23semidirect
564. C22×C4×D4C23semidirect
565. C22×C4×D4C23semidirect
566. C22×C4×D4C23semidirect
567. C22×C4×D4C23semidirect
568. C22×C4×D4C23semidirect
569. C22×C4×D4C23semidirect
570. C22×C4×D4C23semidirect
571. C22×C4×D4C23semidirect
572. C22×C4×D4C23semidirect
573. C22×C4×D4C23semidirect
574. C22×C4×D4C23semidirect
575. C22×C4×D4C23semidirect
576. C22×C4×D4C23semidirect
577. C22×C4×D4C23semidirect
578. C22×C4×D4C23semidirect
579. C22×C4×D4C23semidirect
580. C22×C4×D4C23semidirect
581. C22×C4×D4C23semidirect
584. C22×#117C23semidirect
585. C22×#117C23semidirect
586. C22×#117C23semidirect
587. C22×#117C23semidirect
588. C22×#117C23semidirect
589. C22×#117C23semidirect
590. C22×#117C23semidirect
591. C22×#117C23semidirect
593. C23×C4⋊C4C23semidirect
594. C23×C4⋊C4C23semidirect
595. C23×C4⋊C4C23semidirect
596. C23×C4⋊C4C23semidirect
597. C23×C4⋊C4C23semidirect
605. C23×C22⋊C4C23semidirect
606. C23×C22⋊C4C23semidirect
607. C23×C22⋊C4C23semidirect
608. C23×C22⋊C4C23semidirect
609. C23×C22⋊C4C23semidirect
610. C23×C22⋊C4C23semidirect
611. C23×C22⋊C4C23semidirect
612. C23×C22⋊C4C23semidirect
613. C23×C22⋊C4C23semidirect
614. C23×C22⋊C4C23semidirect
616. C23×C42C23semidirect
617. C23×C42C23semidirect
629. C2×H(5,𝔽2)C24semidirect
645. C22×#41C24semidirect
646. C22×#41C24semidirect
647. C22×#41C24semidirect
648. C22×#41C24semidirect
649. C22×#41C24semidirect
650. C22×#41C24semidirect
651. C22×#41C24semidirect
652. C22×#41C24semidirect
653. C22×#41C24semidirect
660. C23×Q8C24semidirect
724. C23×D4C24semidirect
725. C23×D4C24semidirect
726. C23×D4C24semidirect
727. C23×D4C24semidirect
728. C23×D4C24semidirect
729. C23×D4C24semidirect
757. C24×C4C24semidirect
758. C24×C4C24semidirect
759. #562C24semidirect
760. #562C24semidirect
761. H(3,𝔽4)C24semidirect
762. #560C24semidirect
763. #560C24semidirect
764. #560C24semidirect
765. #559C24semidirect
766. #559C24semidirect
767. #559C24semidirect
768. #556C24semidirect
769. #555C24semidirect
770. #554C24semidirect
771. #554C24semidirect
772. #554C24semidirect
773. #553C24semidirect
774. #553C24semidirect
775. #553C24semidirect
776. #553C24semidirect
777. #553C24semidirect
778. #552C24semidirect
779. #551C24semidirect
780. #551C24semidirect
781. #551C24semidirect
782. #551C24semidirect
783. #551C24semidirect
784. #551C24semidirect
785. #550C24semidirect
786. #550C24semidirect
787. #550C24semidirect
788. D4×Q8C24semidirect
789. #548C24semidirect
790. #548C24semidirect
791. #548C24semidirect
792. #547C24semidirect
793. #547C24semidirect
794. #547C24semidirect
795. #547C24semidirect
796. #546C24semidirect
797. #546C24semidirect
798. #546C24semidirect
799. #546C24semidirect
800. #546C24semidirect
801. #546C24semidirect
802. #546C24semidirect
803. #546C24semidirect
804. #546C24semidirect
805. #546C24semidirect
806. #546C24semidirect
807. #546C24semidirect
808. #546C24semidirect
809. #546C24semidirect
810. #546C24semidirect
811. #546C24semidirect
812. #546C24semidirect
813. #546C24semidirect
814. #546C24semidirect
815. #546C24semidirect
816. #546C24semidirect
817. #546C24semidirect
818. #546C24semidirect
819. #546C24semidirect
820. D42C24semidirect
821. D42C24semidirect
822. D42C24semidirect
823. D42C24semidirect
824. D42C24semidirect
825. D42C24semidirect
826. D42C24semidirect
827. D42C24semidirect
828. D42C24semidirect
829. D42C24semidirect
830. D42C24semidirect
831. D42C24semidirect
832. D42C24semidirect
833. D42C24semidirect
834. #543C24semidirect
835. #542C24semidirect
836. #542C24semidirect
837. #542C24semidirect
838. #540C24semidirect
839. #540C24semidirect
840. #540C24semidirect
841. #539C24semidirect
842. #539C24semidirect
843. #538C24semidirect
844. #538C24semidirect
845. #538C24semidirect
846. #538C24semidirect
847. #538C24semidirect
848. #538C24semidirect
849. #537C24semidirect
850. #537C24semidirect
851. #537C24semidirect
852. #535C24semidirect
853. #535C24semidirect
854. #535C24semidirect
855. #535C24semidirect
856. #535C24semidirect
857. #534C24semidirect
858. #534C24semidirect
859. #534C24semidirect
860. #534C24semidirect
861. #533C24semidirect
862. #532C24semidirect
863. #532C24semidirect
864. #532C24semidirect
865. #532C24semidirect
866. C2×C4⋊Q8C24semidirect
867. C2×C4⋊Q8C24semidirect
868. C2×C4⋊Q8C24semidirect
874. C2×#127C24semidirect
875. C2×#127C24semidirect
876. C2×#127C24semidirect
877. C2×#127C24semidirect
878. #529C24semidirect
879. #529C24semidirect
880. #529C24semidirect
881. #529C24semidirect
882. C2×#126C24semidirect
883. C2×#126C24semidirect
884. C2×#126C24semidirect
885. C2×#126C24semidirect
886. C2×#126C24semidirect
887. C2×#126C24semidirect
888. C2×#126C24semidirect
889. C2×#126C24semidirect
890. C2×#125C24semidirect
891. C2×#125C24semidirect
892. C2×#125C24semidirect
893. C2×#125C24semidirect
894. C2×#125C24semidirect
897. C2×#124C24semidirect
898. C2×#124C24semidirect
899. C2×#124C24semidirect
900. C2×#124C24semidirect
901. C2×#124C24semidirect
902. C2×#124C24semidirect
903. C2×#124C24semidirect
904. C2×#124C24semidirect
905. C2×#124C24semidirect
906. C2×#124C24semidirect
907. C2×#124C24semidirect
908. C2×#124C24semidirect
909. C2×#124C24semidirect
910. C2×#124C24semidirect
911. #525C24semidirect
912. #525C24semidirect
913. #525C24semidirect
914. #525C24semidirect
915. #525C24semidirect
916. #525C24semidirect
920. C2×#123C24semidirect
921. C2×#123C24semidirect
922. C2×#123C24semidirect
923. C2×#123C24semidirect
924. C2×#123C24semidirect
925. C2×#123C24semidirect
926. C2×#123C24semidirect
927. C2×#123C24semidirect
928. C2×#123C24semidirect
929. C2×#123C24semidirect
930. C2×#123C24semidirect
931. C2×#123C24semidirect
932. C2×#123C24semidirect
933. C2×#123C24semidirect
934. C2×#123C24semidirect
935. C2×#123C24semidirect
936. C2×#123C24semidirect
937. C2×#123C24semidirect
938. C2×#123C24semidirect
939. C2×#123C24semidirect
940. C2×#123C24semidirect
941. C2×#123C24semidirect
942. C2×#123C24semidirect
947. C2×C22⋊Q8C24semidirect
948. C2×C22⋊Q8C24semidirect
949. C2×C22⋊Q8C24semidirect
950. C2×C22⋊Q8C24semidirect
951. C2×C22⋊Q8C24semidirect
952. C2×C22⋊Q8C24semidirect
953. C2×C22⋊Q8C24semidirect
954. C2×C22⋊Q8C24semidirect
955. C2×C22⋊Q8C24semidirect
956. C2×C22⋊Q8C24semidirect
957. C2×C22⋊Q8C24semidirect
958. C2×C22⋊Q8C24semidirect
959. C2×C22⋊Q8C24semidirect
960. C2×C22⋊Q8C24semidirect
961. C2×C22⋊Q8C24semidirect
962. C2×C22⋊Q8C24semidirect
963. C2×C22⋊Q8C24semidirect
978. C2×#121C24semidirect
979. C2×#121C24semidirect
980. C2×#121C24semidirect
981. C2×#121C24semidirect
982. C2×#121C24semidirect
983. C2×#121C24semidirect
984. C2×#121C24semidirect
985. C2×#121C24semidirect
986. C2×#121C24semidirect
987. C2×#121C24semidirect
988. C2×#121C24semidirect
989. C2×#121C24semidirect
990. C2×#121C24semidirect
991. C2×#121C24semidirect
992. C2×#121C24semidirect
993. C2×#121C24semidirect
994. C2×#121C24semidirect
995. C2×#121C24semidirect
996. C2×#121C24semidirect
997. C2×#121C24semidirect
998. C2×#121C24semidirect
999. C2×#121C24semidirect
1000. C2×#121C24semidirect
1001. C2×#121C24semidirect
1002. C2×#121C24semidirect
1003. C2×#121C24semidirect
1004. C2×#121C24semidirect
1005. C2×#121C24semidirect
1006. C2×#121C24semidirect
1007. C2×#121C24semidirect
1008. C2×#121C24semidirect
1009. C2×#121C24semidirect
1010. C2×#121C24semidirect
1011. C2×#121C24semidirect
1012. C2×#121C24semidirect
1025. C2×#120C24semidirect
1026. C2×#120C24semidirect
1027. C2×#120C24semidirect
1028. C2×#120C24semidirect
1029. C2×#120C24semidirect
1030. C2×#120C24semidirect
1031. C2×#120C24semidirect
1032. C2×#120C24semidirect
1033. C2×#120C24semidirect
1034. C2×#120C24semidirect
1035. C2×#120C24semidirect
1036. C2×#120C24semidirect
1037. C2×#120C24semidirect
1038. C2×#120C24semidirect
1039. C2×#120C24semidirect
1040. #520C24semidirect
1041. #518C24semidirect
1042. #518C24semidirect
1043. #518C24semidirect
1044. C4×#41C24semidirect
1045. C4×#41C24semidirect
1046. C2×C4×Q8C24semidirect
1047. C2×C4×Q8C24semidirect
1048. C2×C4×Q8C24semidirect
1049. C2×C4×Q8C24semidirect
1050. C2×C4×Q8C24semidirect
1066. C2×C4×D4C24semidirect
1067. C2×C4×D4C24semidirect
1068. C2×C4×D4C24semidirect
1069. C2×C4×D4C24semidirect
1070. C2×C4×D4C24semidirect
1071. C2×C4×D4C24semidirect
1072. C2×C4×D4C24semidirect
1073. C2×C4×D4C24semidirect
1074. C2×C4×D4C24semidirect
1075. C2×C4×D4C24semidirect
1076. C2×C4×D4C24semidirect
1077. C2×C4×D4C24semidirect
1078. C2×C4×D4C24semidirect
1079. C2×C4×D4C24semidirect
1080. C2×C4×D4C24semidirect
1081. C2×C4×D4C24semidirect
1082. C2×C4×D4C24semidirect
1083. C2×C4×D4C24semidirect
1084. C2×C4×D4C24semidirect
1085. C2×C4×D4C24semidirect
1086. C2×C4×D4C24semidirect
1087. C2×C4×D4C24semidirect
1088. C2×C4×D4C24semidirect
1089. C2×C4×D4C24semidirect
1090. C2×C4×D4C24semidirect
1091. C2×C4×D4C24semidirect
1092. C2×C4×D4C24semidirect
1093. C2×C4×D4C24semidirect
1094. C2×C4×D4C24semidirect
1095. C2×C4×D4C24semidirect
1098. C2×#117C24semidirect
1099. C2×#117C24semidirect
1100. C2×#117C24semidirect
1101. C2×#117C24semidirect
1102. C2×#117C24semidirect
1103. C2×#117C24semidirect
1104. C2×#117C24semidirect
1105. C2×#117C24semidirect
1132. C22×C4⋊C4C24semidirect
1133. C22×C4⋊C4C24semidirect
1134. C22×C4⋊C4C24semidirect
1135. C22×C4⋊C4C24semidirect
1136. C22×C4⋊C4C24semidirect
1184. C22×C22⋊C4C24semidirect
1185. C22×C22⋊C4C24semidirect
1186. C22×C22⋊C4C24semidirect
1187. C22×C22⋊C4C24semidirect
1188. C22×C22⋊C4C24semidirect
1189. C22×C22⋊C4C24semidirect
1190. C22×C22⋊C4C24semidirect
1191. C22×C22⋊C4C24semidirect
1192. C22×C22⋊C4C24semidirect
1193. C22×C22⋊C4C24semidirect
1206. C22×C42C24semidirect
1207. C22×C42C24semidirect
1259. C2×#41C25semidirect
1260. C2×#41C25semidirect
1261. C2×#41C25semidirect
1262. C2×#41C25semidirect
1263. C2×#41C25semidirect
1264. C2×#41C25semidirect
1265. C2×#41C25semidirect
1266. C2×#41C25semidirect
1278. C22×Q8C25semidirect
1328. C22×D4H(5,𝔽2)semidirect
1373. C22×D4C25semidirect
1374. C22×D4C25semidirect
1375. C22×D4C25semidirect
1376. C22×D4C25semidirect
1377. C22×D4C25semidirect
1441. C23×C4C25semidirect
1442. C23×C4C25semidirect
1443. C4⋊Q8C25semidirect
1444. C4⋊Q8C25semidirect
1445. C4⋊Q8C25semidirect
1451. #127C25semidirect
1452. #127C25semidirect
1453. #127C25semidirect
1454. #126C25semidirect
1455. #126C25semidirect
1456. #126C25semidirect
1457. #126C25semidirect
1458. #126C25semidirect
1459. #126C25semidirect
1460. #126C25semidirect
1461. #126C25semidirect
1462. #125C25semidirect
1463. #125C25semidirect
1464. #125C25semidirect
1465. #125C25semidirect
1466. #125C25semidirect
1469. #124C25semidirect
1470. #124C25semidirect
1471. #124C25semidirect
1472. #124C25semidirect
1473. #124C25semidirect
1474. #124C25semidirect
1475. #124C25semidirect
1476. #124C25semidirect
1477. #124C25semidirect
1478. #124C25semidirect
1479. #124C25semidirect
1480. #124C25semidirect
1481. #124C25semidirect
1485. #123C25semidirect
1486. #123C25semidirect
1487. #123C25semidirect
1488. #123C25semidirect
1489. #123C25semidirect
1490. #123C25semidirect
1491. #123C25semidirect
1492. #123C25semidirect
1493. #123C25semidirect
1494. #123C25semidirect
1495. #123C25semidirect
1496. #123C25semidirect
1497. #123C25semidirect
1498. #123C25semidirect
1499. #123C25semidirect
1500. #123C25semidirect
1501. #123C25semidirect
1502. #123C25semidirect
1503. #123C25semidirect
1504. #123C25semidirect
1505. #123C25semidirect
1506. #123C25semidirect
1511. C22⋊Q8C25semidirect
1512. C22⋊Q8C25semidirect
1513. C22⋊Q8C25semidirect
1514. C22⋊Q8C25semidirect
1515. C22⋊Q8C25semidirect
1516. C22⋊Q8C25semidirect
1517. C22⋊Q8C25semidirect
1518. C22⋊Q8C25semidirect
1519. C22⋊Q8C25semidirect
1520. C22⋊Q8C25semidirect
1521. C22⋊Q8C25semidirect
1522. C22⋊Q8C25semidirect
1523. C22⋊Q8C25semidirect
1524. C22⋊Q8C25semidirect
1525. C22⋊Q8C25semidirect
1526. C22⋊Q8C25semidirect
1541. #121C25semidirect
1542. #121C25semidirect
1543. #121C25semidirect
1544. #121C25semidirect
1545. #121C25semidirect
1546. #121C25semidirect
1547. #121C25semidirect
1548. #121C25semidirect
1549. #121C25semidirect
1550. #121C25semidirect
1551. #121C25semidirect
1552. #121C25semidirect
1553. #121C25semidirect
1554. #121C25semidirect
1555. #121C25semidirect
1556. #121C25semidirect
1557. #121C25semidirect
1558. #121C25semidirect
1559. #121C25semidirect
1560. #121C25semidirect
1561. #121C25semidirect
1562. #121C25semidirect
1563. #121C25semidirect
1564. #121C25semidirect
1565. #121C25semidirect
1566. #121C25semidirect
1567. #121C25semidirect
1568. #121C25semidirect
1569. #121C25semidirect
1570. #121C25semidirect
1571. #121C25semidirect
1584. #120C25semidirect
1585. #120C25semidirect
1586. #120C25semidirect
1587. #120C25semidirect
1588. #120C25semidirect
1589. #120C25semidirect
1590. #120C25semidirect
1591. #120C25semidirect
1592. #120C25semidirect
1593. #120C25semidirect
1594. #120C25semidirect
1595. #120C25semidirect
1596. C4×Q8C25semidirect
1597. C4×Q8C25semidirect
1598. C4×Q8C25semidirect
1599. C4×Q8C25semidirect
1600. C4×Q8C25semidirect
1616. C4×D4C25semidirect
1617. C4×D4C25semidirect
1618. C4×D4C25semidirect
1619. C4×D4C25semidirect
1620. C4×D4C25semidirect
1621. C4×D4C25semidirect
1622. C4×D4C25semidirect
1623. C4×D4C25semidirect
1624. C4×D4C25semidirect
1625. C4×D4C25semidirect
1626. C4×D4C25semidirect
1627. C4×D4C25semidirect
1628. C4×D4C25semidirect
1629. C4×D4C25semidirect
1630. C4×D4C25semidirect
1631. C4×D4C25semidirect
1632. C4×D4C25semidirect
1633. C4×D4C25semidirect
1634. C4×D4C25semidirect
1635. C4×D4C25semidirect
1636. C4×D4C25semidirect
1637. C4×D4C25semidirect
1638. C4×D4C25semidirect
1639. C4×D4C25semidirect
1640. C4×D4C25semidirect
1641. C4×D4C25semidirect
1644. #117C25semidirect
1645. #117C25semidirect
1646. #117C25semidirect
1647. #117C25semidirect
1648. #117C25semidirect
1649. #117C25semidirect
1650. #117C25semidirect
1651. #117C25semidirect
1678. C2×C4⋊C4C25semidirect
1679. C2×C4⋊C4C25semidirect
1680. C2×C4⋊C4C25semidirect
1681. C2×C4⋊C4C25semidirect
1682. C2×C4⋊C4C25semidirect
1730. C2×C22⋊C4C25semidirect
1731. C2×C22⋊C4C25semidirect
1732. C2×C22⋊C4C25semidirect
1733. C2×C22⋊C4C25semidirect
1734. C2×C22⋊C4C25semidirect
1735. C2×C22⋊C4C25semidirect
1736. C2×C22⋊C4C25semidirect
1737. C2×C22⋊C4C25semidirect
1738. C2×C22⋊C4C25semidirect
1751. C2×C42C25semidirect
1752. C2×C42C25semidirect
1883. C2×D4C2×H(5,𝔽2)semidirect
2161. D4C22×H(5,𝔽2)semidirect
2241. C22#63012direct (N × H)
2267. C2C2×#63012direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#630122
C22×#35462
C22×#35432
C22×#35582
C22×#35362
C22×#35342
C22×#35422
C22×#35322
C22×#35082
C22×#34882
C22×#35142
C22×#35202
C22×#35192
C22×#35132
C22×#34902
C22×#34962
C22×#34842
C22×#34812
C22×D4×#412
C23×#5462
C23×D422