Finite Group Databasebeta

← C2×#63012 #10586331

Subgroups — C2×#63012 #10586331

Order 512.

38650 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63012C2164yesmaximal, direct product factor
2C2×#3508C211yesmaximal, characteristic, complemented
3C2×#3488C214yesmaximal, complemented
4C2×#3514C212yesmaximal, complemented
5C2×#3520C212yesmaximal, complemented
6C2×#3519C214yesmaximal, complemented
7C2×#3513C214yesmaximal, complemented
8C2×#3490C214yesmaximal, complemented
9C2×#3496C212yesmaximal, complemented
10C2×#3484C214yesmaximal, complemented
11C2×#3546C212yesmaximal, complemented
12C2×#3543C211yesmaximal, characteristic, complemented
13C2×#3558C214yesmaximal, complemented
14C2×#3536C214yesmaximal, complemented
15C2×#3534C218yesmaximal, complemented
16C2×#3542C214yesmaximal, complemented
17C2×#3532C214yesmaximal, complemented
18C2×#3481C212yesmaximal, complemented
19C2×D4×#41C212yesmaximal, complemented
20C22×#546C214yesmaximal, complemented
21C22×D42C211yesmaximal, characteristic, complemented
22C22×H(5,𝔽2)C2214yescomplemented
23C23×#41C2214yescomplemented
24C24×D4C2214yescomplemented
25#3558C221128yescomplemented
26#3546C22164yescomplemented
27#3543C22132yescomplemented
28#3542C221128yescomplemented
29#3536C221128yescomplemented
30#3534C221256yescomplemented
31#3532C221128yescomplemented
32C2×#562C2218yescomplemented
33C2×#562C2218yescomplemented
34C2×H(3,𝔽4)C2214yescomplemented
35C2×#560C2218yescomplemented
36C2×#560C2214yescomplemented
37C2×#560C2214yescomplemented
38#3520C22164yescomplemented
39#3519C221128yescomplemented
40#3514C22164yescomplemented
41#3513C221128yescomplemented
42#3508C22132yescomplemented
43#3496C22164yescomplemented
44#3490C221128yescomplemented
45#3488C221128yescomplemented
46#3484C221128yescomplemented
47#3481C22164yescomplemented
48C2×#559C2212yescomplemented
49C2×#559C2214yescomplemented
50C2×#559C2211yescharacteristic, complemented
51C2×#556C2212yescomplemented
52C2×#555C2214yescomplemented
53C2×#554C2212yescomplemented
54C2×#554C2214yescomplemented
55C2×#554C2212yescomplemented
56C2×#553C2212yescomplemented
57C2×#553C2214yescomplemented
58C2×#553C2212yescomplemented
59C2×#553C2218yescomplemented
60C2×#553C2214yescomplemented
61C2×#552C2214yescomplemented
62C2×#551C2214yescomplemented
63C2×#551C2218yescomplemented
64C2×#551C2214yescomplemented
65C2×#551C2218yescomplemented
66C2×#551C2218yescomplemented
67C2×#551C2214yescomplemented
68D4×#41C22164yescomplemented
69C2×#550C2214yescomplemented
70C2×#550C2212yescomplemented
71C2×#550C2214yescomplemented
72C2×D4×Q8C2212yescomplemented
73C2×#548C2214yescomplemented
74C2×#548C2214yescomplemented
75C2×#548C2214yescomplemented
76C2×#547C2212yescomplemented
77C2×#547C2212yescomplemented
78C2×#547C2214yescomplemented
79C2×#547C2214yescomplemented
80C2×#546C2214yescomplemented
81C2×#546C2212yescomplemented
82C2×#546C2214yescomplemented
83C2×#546C2218yescomplemented
84C2×#546C2214yescomplemented
85C2×#546C2218yescomplemented
86C2×#546C2218yescomplemented
87C2×#546C2214yescomplemented
88C2×#546C2214yescomplemented
89C2×#546C2214yescomplemented
90C2×#546C2214yescomplemented
91C2×#546C2214yescomplemented
92C2×#546C2212yescomplemented
93C2×#546C2218yescomplemented
94C2×#546C2218yescomplemented
95C2×#546C2218yescomplemented
96C2×#546C2218yescomplemented
97C2×#546C2218yescomplemented
98C2×#546C2218yescomplemented
99C2×#546C2214yescomplemented
100C2×#546C2214yescomplemented
101C2×#546C2214yescomplemented
102C2×#546C2218yescomplemented
103C2×#546C2214yescomplemented
104C2×#546C221128yescomplemented
105C2×D42C2214yescomplemented
106C2×D42C2214yescomplemented
107C2×D42C2211yescharacteristic, complemented
108C2×D42C2212yescomplemented
109C2×D42C2212yescomplemented
110C2×D42C2214yescomplemented
111C2×D42C2211yescharacteristic, complemented
112C2×D42C2214yescomplemented
113C2×D42C2218yescomplemented
114C2×D42C2214yescomplemented
115C2×D42C2218yescomplemented
116C2×D42C2214yescomplemented
117C2×D42C2214yescomplemented
118C2×D42C2211yescharacteristic, complemented
119C2×D42C22132yescomplemented
120C2×#543C2214yescomplemented
121C2×#542C2214yescomplemented
122C2×#542C2214yescomplemented
123C2×#542C2214yescomplemented
124C2×#540C2218yescomplemented
125C2×#540C2214yescomplemented
126C2×#540C2214yescomplemented
127C2×#539C2218yescomplemented
128C2×#539C2218yescomplemented
129C2×#538C2218yescomplemented
130C2×#538C2218yescomplemented
131C2×#538C2218yescomplemented
132C2×#538C2218yescomplemented
133C2×#538C2218yescomplemented
134C2×#538C2218yescomplemented
135C2×#537C2218yescomplemented
136C2×#537C2214yescomplemented
137C2×#537C2214yescomplemented
138C2×#535C2212yescomplemented
139C2×#535C2218yescomplemented
140C2×#535C2214yescomplemented
141C2×#535C2214yescomplemented
142C2×#535C2214yescomplemented
143C2×#534C2214yescomplemented
144C2×#534C2218yescomplemented
145C2×#534C2218yescomplemented
146C2×#534C2218yescomplemented
147C2×#533C2211yescharacteristic, complemented
148C2×#532C2212yescomplemented
149C2×#532C2214yescomplemented
150C2×#532C2212yescomplemented
151C2×#532C2212yescomplemented
152C22×#127C2211yescharacteristic, complemented
153C2×#529C2212yescomplemented
154C2×#529C2214yescomplemented
155C2×#529C2212yescomplemented
156C2×#529C2214yescomplemented
157C22×#124C2214yescomplemented
158C2×#525C2214yescomplemented
159C2×#525C2214yescomplemented
160C2×#525C2214yescomplemented
161C2×#525C2218yescomplemented
162C2×#525C2218yescomplemented
163C2×#525C2214yescomplemented
164C22×#123C2218yescomplemented
165C22×C22⋊Q8C2214yescomplemented
166C22×#121C2214yescomplemented
167C22×#121C2218yescomplemented
168C22×#121C2214yescomplemented
169C22×#121C2214yescomplemented
170C22×#120C2214yescomplemented
171C22×#120C2214yescomplemented
172C22×#120C2218yescomplemented
173C2×#520C2214yescomplemented
174C2×#518C2212yescomplemented
175C2×#518C2214yescomplemented
176C2×#518C2214yescomplemented
177C2×C4×#41C2211yescharacteristic, complemented
178C2×C4×#41C2212yescomplemented
179C22×C4×D4C2212yescomplemented
180C22×C4×D4C2214yescomplemented
181C22×C4×D4C2212yescomplemented
182C22×C4×D4C2214yescomplemented
183C23×C22⋊C4C2214yescomplemented
184C26C2314yes—
185C2×H(5,𝔽2)—432no—
186C2×H(5,𝔽2)C23164yescomplemented
187C22×#41—432no—
188C22×#41C2312yes—
189C22×#41C2314yes—
190C22×#41C2311yescharacteristic
191C22×#41C2318yescomplemented
192C22×#41C2314yescomplemented
193C22×#41C2318yescomplemented
194C22×#41C2314yescomplemented
195C22×#41C2314yescomplemented
196C22×#41C2314yescomplemented
197C22×#41C2318yescomplemented
198C22×#41C2314yescomplemented
199C22×#41C23164yescomplemented
200C23×Q8C2314yescomplemented
201C23×D4—432no—
202C23×D4C2312yes—
203C23×D4C2314yes—
204C23×D4C2314yes—
205C23×D4C2312yes—
206C23×D4C2318yes—
207C23×D4C2318yes—
208C23×D4C2314yes—
209C23×D4C2314yes—
210C23×D4C2318yes—
211C23×D4C2314yes—
212C23×D4C2314yes—
213C23×D4C2312yes—
214C23×D4C2314yes—
215C23×D4C23164yescomplemented
216C23×D4C2318yescomplemented
217C23×D4C2318yescomplemented
218C23×D4C2318yescomplemented
219C23×D4C2318yescomplemented
220C23×D4C2314yescomplemented
221C24×C4C2314yes—
222C24×C4C2318yescomplemented
223C24×C4C2314yescomplemented
224#562C231128yescomplemented
225#562C231128yescomplemented
226H(3,𝔽4)C23164yescomplemented
227#560C231128yescomplemented
228#560C23164yescomplemented
229#560C23164yescomplemented
230#559C23132yescomplemented
231#559C23164yescomplemented
232#559C23116yescomplemented
233#556C23132yescomplemented
234#555C23164yescomplemented
235#554C23132yescomplemented
236#554C23164yescomplemented
237#554C23132yescomplemented
238#553C23132yescomplemented
239#553C23164yescomplemented
240#553C23132yescomplemented
241#553C231128yescomplemented
242#553C23164yescomplemented
243#552C23164yescomplemented
244#551C23164yescomplemented
245#551C231128yescomplemented
246#551C23164yescomplemented
247#551C231128yescomplemented
248#551C231128yescomplemented
249#551C23164yescomplemented
250#550C23164yescomplemented
251#550C23132yescomplemented
252#550C23164yescomplemented
253D4×Q8C23132yescomplemented
254#548C23164yescomplemented
255#548C23164yescomplemented
256#548C23164yescomplemented
257#547C23132yescomplemented
258#547C23132yescomplemented
259#547C23164yescomplemented
260#547C23164yescomplemented
261#546C23132yescomplemented
262#546C23164yescomplemented
263#546C231128yescomplemented
264#546C23164yescomplemented
265#546C231128yescomplemented
266#546C23164yescomplemented
267#546C231128yescomplemented
268#546C23164yescomplemented
269#546C23164yescomplemented
270#546C23164yescomplemented
271#546C23164yescomplemented
272#546C23164yescomplemented
273#546C23132yescomplemented
274#546C231128yescomplemented
275#546C231128yescomplemented
276#546C231128yescomplemented
277#546C231128yescomplemented
278#546C231128yescomplemented
279#546C231128yescomplemented
280#546C23164yescomplemented
281#546C23164yescomplemented
282#546C23164yescomplemented
283#546C231128yescomplemented
284#546C23164yescomplemented
285D42C23116yescomplemented
286D42C23164yescomplemented
287D42C23132yescomplemented
288D42C23164yescomplemented
289D42C23164yescomplemented
290D42C23116yescomplemented
291D42C23132yescomplemented
292D42C231128yescomplemented
293D42C23164yescomplemented
294D42C23164yescomplemented
295D42C231128yescomplemented
296D42C23164yescomplemented
297D42C23164yescomplemented
298D42C23116yescomplemented
299#543C23164yescomplemented
300#542C23164yescomplemented
301#542C23164yescomplemented
302#542C23164yescomplemented
303#540C231128yescomplemented
304#540C23164yescomplemented
305#540C23164yescomplemented
306#539C231128yescomplemented
307#539C231128yescomplemented
308#538C231128yescomplemented
309#538C231128yescomplemented
310#538C231128yescomplemented
311#538C231128yescomplemented
312#538C231128yescomplemented
313#538C231128yescomplemented
314#537C231128yescomplemented
315#537C23164yescomplemented
316#537C23164yescomplemented
317#535C23132yescomplemented
318#535C231128yescomplemented
319#535C23164yescomplemented
320#535C23164yescomplemented
321#535C23164yescomplemented
322#534C23164yescomplemented
323#534C231128yescomplemented
324#534C231128yescomplemented
325#534C231128yescomplemented
326#533C23116yescomplemented
327#532C23132yescomplemented
328#532C23164yescomplemented
329#532C23132yescomplemented
330#532C23132yescomplemented
331C2×C4⋊Q8C2312yescomplemented
332C2×C4⋊Q8C2312yescomplemented
333C2×C4⋊Q8C2314yescomplemented
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2314yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C23116yescomplemented
340C2×#127C2314yescomplemented
341C2×#127C2314yescomplemented
342C2×#127C2318yescomplemented
343#529C23132yescomplemented
344#529C23164yescomplemented
345#529C23132yescomplemented
346#529C23164yescomplemented
347C2×#126C2318yescomplemented
348C2×#126C2314yescomplemented
349C2×#126C2314yescomplemented
350C2×#126C2314yescomplemented
351C2×#126C2314yescomplemented
352C2×#126C2318yescomplemented
353C2×#126C2318yescomplemented
354C2×#126C2318yescomplemented
355C2×#125C2312yescomplemented
356C2×#125C2314yescomplemented
357C2×#125C2312yescomplemented
358C2×#125C2312yescomplemented
359C2×#125C2318yescomplemented
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2314yescomplemented
363C2×#124C2314yescomplemented
364C2×#124C2318yescomplemented
365C2×#124C2318yescomplemented
366C2×#124C2312yescomplemented
367C2×#124C2314yescomplemented
368C2×#124C2314yescomplemented
369C2×#124C2314yescomplemented
370C2×#124C2318yescomplemented
371C2×#124C2318yescomplemented
372C2×#124C2314yescomplemented
373C2×#124C2318yescomplemented
374C2×#124C2318yescomplemented
375C2×#124C23164yescomplemented
376#525C23164yescomplemented
377#525C23164yescomplemented
378#525C23164yescomplemented
379#525C231128yescomplemented
380#525C231128yescomplemented
381#525C23164yescomplemented
382C2×#123C2314yes—
383C2×#123C2318yes—
384C2×#123C2314yes—
385C2×#123C2318yescomplemented
386C2×#123C2318yescomplemented
387C2×#123C2318yescomplemented
388C2×#123C2318yescomplemented
389C2×#123C2318yescomplemented
390C2×#123C2318yescomplemented
391C2×#123C2314yescomplemented
392C2×#123C2318yescomplemented
393C2×#123C2314yescomplemented
394C2×#123C2314yescomplemented
395C2×#123C2318yescomplemented
396C2×#123C2318yescomplemented
397C2×#123C2314yescomplemented
398C2×#123C2318yescomplemented
399C2×#123C2314yescomplemented
400C2×#123C2314yescomplemented
401C2×#123C2318yescomplemented
402C2×#123C2314yescomplemented
403C2×#123C2318yescomplemented
404C2×#123C2318yescomplemented
405C2×#123C2318yescomplemented
406C2×#123C2314yescomplemented
407C2×#123C231128yescomplemented
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2318yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yescomplemented
413C2×C22⋊Q8C2314yescomplemented
414C2×C22⋊Q8C2318yescomplemented
415C2×C22⋊Q8C2314yescomplemented
416C2×C22⋊Q8C2314yescomplemented
417C2×C22⋊Q8C2318yescomplemented
418C2×C22⋊Q8C2314yescomplemented
419C2×C22⋊Q8C2314yescomplemented
420C2×C22⋊Q8C2318yescomplemented
421C2×C22⋊Q8C2318yescomplemented
422C2×C22⋊Q8C2314yescomplemented
423C2×C22⋊Q8C2312yescomplemented
424C2×C22⋊Q8C2314yescomplemented
425C2×C22⋊Q8C2318yescomplemented
426C2×C22⋊Q8C2318yescomplemented
427C2×C22⋊Q8C2318yescomplemented
428C2×C22⋊Q8C23164yescomplemented
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2318yes—
434C2×#121C2314yes—
435C2×#121C2318yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2318yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C23164yescomplemented
444C2×#121C2318yescomplemented
445C2×#121C2314yescomplemented
446C2×#121C2312yescomplemented
447C2×#121C2314yescomplemented
448C2×#121C2318yescomplemented
449C2×#121C2318yescomplemented
450C2×#121C2318yescomplemented
451C2×#121C2318yescomplemented
452C2×#121C2318yescomplemented
453C2×#121C2314yescomplemented
454C2×#121C2318yescomplemented
455C2×#121C2318yescomplemented
456C2×#121C2318yescomplemented
457C2×#121C2318yescomplemented
458C2×#121C2318yescomplemented
459C2×#121C2318yescomplemented
460C2×#121C2314yescomplemented
461C2×#121C2314yescomplemented
462C2×#121C2314yescomplemented
463C2×#121C2314yescomplemented
464C2×#121C2314yescomplemented
465C2×#121C2318yescomplemented
466C2×#121C2314yescomplemented
467C2×#121C2314yescomplemented
468C2×#121C2318yescomplemented
469C2×#121C2318yescomplemented
470C2×#121C2318yescomplemented
471C2×#121C2318yescomplemented
472C2×#121C2318yescomplemented
473C2×#121C2318yescomplemented
474C2×#121C2318yescomplemented
475C2×#121C231128yescomplemented
476C2×#121C23164yescomplemented
477C2×#121C23164yescomplemented
478C2×#120C2314yes—
479C2×#120C2318yes—
480C2×#120C2314yes—
481C2×#120C2314yes—
482C2×#120C2314yes—
483C2×#120C2318yes—
484C2×#120C2318yes—
485C2×#120C2318yes—
486C2×#120C2318yes—
487C2×#120C2314yes—
488C2×#120C2314yes—
489C2×#120C2314yes—
490C2×#120C23164yescomplemented
491C2×#120C2318yescomplemented
492C2×#120C2318yescomplemented
493C2×#120C2318yescomplemented
494C2×#120C2318yescomplemented
495C2×#120C2318yescomplemented
496C2×#120C2318yescomplemented
497C2×#120C2318yescomplemented
498C2×#120C2314yescomplemented
499C2×#120C2314yescomplemented
500C2×#120C2318yescomplemented
501C2×#120C2314yescomplemented
502C2×#120C2318yescomplemented
503C2×#120C231128yescomplemented
504C2×#120C23164yescomplemented
505#520C23164yescomplemented
506#518C23132yescomplemented
507#518C23164yescomplemented
508#518C23164yescomplemented
509C4×#41C23116yescomplemented
510C4×#41C23132yescomplemented
511C2×C4×Q8C2312yescomplemented
512C2×C4×Q8C2312yescomplemented
513C2×C4×Q8C2312yescomplemented
514C2×C4×Q8C2314yescomplemented
515C2×C4×Q8C2314yescomplemented
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2314yes—
520C2×C4×D4C2314yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2314yes—
523C2×C4×D4C2314yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2314yes—
526C2×C4×D4C2314yes—
527C2×C4×D4C2312yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2312yes—
530C2×C4×D4C2318yes—
531C2×C4×D4C23132yescomplemented
532C2×C4×D4C2314yescomplemented
533C2×C4×D4C2318yescomplemented
534C2×C4×D4C2314yescomplemented
535C2×C4×D4C2314yescomplemented
536C2×C4×D4C2312yescomplemented
537C2×C4×D4C2314yescomplemented
538C2×C4×D4C2314yescomplemented
539C2×C4×D4C2312yescomplemented
540C2×C4×D4C2314yescomplemented
541C2×C4×D4C2318yescomplemented
542C2×C4×D4C2314yescomplemented
543C2×C4×D4C2314yescomplemented
544C2×C4×D4C2314yescomplemented
545C2×C4×D4C2312yescomplemented
546C2×C4×D4C2314yescomplemented
547C2×C4×D4C2314yescomplemented
548C2×C4×D4C2318yescomplemented
549C2×C4×D4C2318yescomplemented
550C2×C4×D4C2318yescomplemented
551C2×C4×D4C2318yescomplemented
552C2×C4×D4C2318yescomplemented
553C2×C4×D4C2314yescomplemented
554C2×C4×D4C2314yescomplemented
555C2×C4×D4C2314yescomplemented
556C2×C4×D4C2318yescomplemented
557C2×C4×D4C2318yescomplemented
558C2×C4×D4C23164yescomplemented
559C2×C4×D4C23164yescomplemented
560C2×C4×D4C23132yescomplemented
561C2×#117C2311yescharacteristic
562C2×#117C2312yes—
563C2×#117C2314yescomplemented
564C2×#117C2312yescomplemented
565C2×#117C2312yescomplemented
566C2×#117C2314yescomplemented
567C2×#117C2314yescomplemented
568C2×#117C2318yescomplemented
569C2×#117C2314yescomplemented
570C2×#117C2318yescomplemented
571C22×C4⋊C4C2312yes—
572C22×C4⋊C4C2314yescomplemented
573C22×C4⋊C4C2314yescomplemented
574C22×C4⋊C4C2312yescomplemented
575C22×C4⋊C4C2318yescomplemented
576C22×C4⋊C4C2314yescomplemented
577C22×C22⋊C4C2314yes—
578C22×C22⋊C4C2314yes—
579C22×C22⋊C4C2318yes—
580C22×C22⋊C4C2314yes—
581C22×C22⋊C4C2314yes—
582C22×C22⋊C4C2314yes—
583C22×C22⋊C4C2314yes—
584C22×C22⋊C4C23164yescomplemented
585C22×C22⋊C4C2318yescomplemented
586C22×C22⋊C4C2318yescomplemented
587C22×C22⋊C4C2318yescomplemented
588C22×C22⋊C4C2318yescomplemented
589C22×C22⋊C4C2314yescomplemented
590C22×C22⋊C4C2314yescomplemented
591C22×C22⋊C4C2318yescomplemented
592C22×C22⋊C4C2318yescomplemented
593C22×C22⋊C4C2318yescomplemented
594C22×C42C2311yescharacteristic
595C22×C42C2314yescomplemented
596C22×C42C2312yescomplemented
597C25—432no—
598C25—416no—
599C25C2414yes—
600C25C2414yes—
601C25C2414yes—
602C25C2418yes—
603C25C2414yes—
604C25C2414yes—
605C25C24132yes—
606C25C2414yes—
607H(5,𝔽2)—4256no—
608C2×#41—216no—
609C2×#41—232no—
610C2×#41—416no—
611C2×#41—432no—
612C2×#41—432no—
613C2×#41—44no—
614C2×#41—432no—
615C2×#41—416no—
616C2×#41—416no—
617C2×#41—416no—
618C2×#41—416no—
619C2×#41—4256no—
620C2×#41C24116yes—
621C2×#41C24132yes—
622C2×#41C2418yes—
623C2×#41C24132yescomplemented
624C2×#41C24164yescomplemented
625C2×#41C24132yescomplemented
626C2×#41C24132yescomplemented
627C2×#41C24164yescomplemented
628C2×#41C24132yescomplemented
629C2×#41C24164yescomplemented
630C2×#41C24132yescomplemented
631C22×Q8—416no—
632C22×Q8C2412yes—
633C22×Q8C2414yes—
634C22×Q8C2411yescharacteristic
635C22×Q8C2414yes—
636C22×Q8C2418yes—
637C22×Q8C24132yescomplemented
638C22×D4—216no—
639C22×D4—232no—
640C22×D4—232no—
641C22×D4—216no—
642C22×D4—416no—
643C22×D4—416no—
644C22×D4—416no—
645C22×D4—416no—
646C22×D4—48no—
647C22×D4—432no—
648C22×D4—4256no—
649C22×D4—432no—
650C22×D4—432no—
651C22×D4—432no—
652C22×D4—416no—
653C22×D4—416no—
654C22×D4—432no—
655C22×D4—432no—
656C22×D4—432no—
657C22×D4C2412yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2412yes—
661C22×D4C2418yes—
662C22×D4C2418yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2418yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2412yes—
669C22×D4C24132yes—
670C22×D4C24116yes—
671C22×D4C24116yes—
672C22×D4C24132yes—
673C22×D4C2412yes—
674C22×D4C2414yes—
675C22×D4C2412yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2418yes—
679C22×D4C2411yescharacteristic
680C22×D4C24132yes—
681C22×D4C24116yes—
682C22×D4C24132yes—
683C22×D4C2414yes—
684C22×D4C2418yes—
685C22×D4C2418yes—
686C22×D4C2418yes—
687C22×D4C2418yes—
688C22×D4C2414yes—
689C22×D4C2418yes—
690C22×D4C2418yes—
691C22×D4C2418yes—
692C22×D4C24164yes—
693C22×D4C2418yes—
694C22×D4C2414yes—
695C22×D4C24164yes—
696C22×D4C24132yes—
697C22×D4C24132yes—
698C22×D4C24164yes—
699C22×D4C24132yes—
700C22×D4C2412yes—
701C22×D4C24164yescomplemented
702C22×D4C24164yescomplemented
703C22×D4C24164yescomplemented
704C22×D4C24164yescomplemented
705C22×D4C24132yescomplemented
706C23×C4—416no—
707C23×C4—416no—
708C23×C4—432no—
709C23×C4C2411yescharacteristic
710C23×C4C2414yes—
711C23×C4C2418yes—
712C23×C4C2412yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2412yes—
716C23×C4C2414yes—
717C23×C4C2412yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2418yes—
721C23×C4C2418yes—
722C23×C4C2418yes—
723C23×C4C2418yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726C23×C4C2412yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2418yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C24132yes—
733C23×C4C24164yescomplemented
734C23×C4C24132yescomplemented
735C4⋊Q8C24116yescomplemented
736C4⋊Q8C24116yescomplemented
737C4⋊Q8C24132yescomplemented
738#127C2418yes—
739#127C2418yes—
740#127C24132yes—
741#127C24116yes—
742#127C24116yes—
743#127C24132yescomplemented
744#127C24132yescomplemented
745#127C24164yescomplemented
746#126C24164yescomplemented
747#126C24132yescomplemented
748#126C24132yescomplemented
749#126C24132yescomplemented
750#126C24132yescomplemented
751#126C24164yescomplemented
752#126C24164yescomplemented
753#126C24164yescomplemented
754#125C24116yescomplemented
755#125C24132yescomplemented
756#125C24116yescomplemented
757#125C24116yescomplemented
758#125C24164yescomplemented
759#124C24116yes—
760#124C24132yes—
761#124C24132yescomplemented
762#124C24132yescomplemented
763#124C24164yescomplemented
764#124C24164yescomplemented
765#124C24116yescomplemented
766#124C24132yescomplemented
767#124C24132yescomplemented
768#124C24132yescomplemented
769#124C24164yescomplemented
770#124C24164yescomplemented
771#124C24132yescomplemented
772#124C24164yescomplemented
773#124C24164yescomplemented
774#123C24132yes—
775#123C24164yes—
776#123C24132yes—
777#123C24164yescomplemented
778#123C24164yescomplemented
779#123C24164yescomplemented
780#123C24164yescomplemented
781#123C24164yescomplemented
782#123C24164yescomplemented
783#123C24132yescomplemented
784#123C24164yescomplemented
785#123C24132yescomplemented
786#123C24132yescomplemented
787#123C24164yescomplemented
788#123C24164yescomplemented
789#123C24132yescomplemented
790#123C24164yescomplemented
791#123C24132yescomplemented
792#123C24132yescomplemented
793#123C24164yescomplemented
794#123C24132yescomplemented
795#123C24164yescomplemented
796#123C24164yescomplemented
797#123C24164yescomplemented
798#123C24132yescomplemented
799C22⋊Q8C24116yes—
800C22⋊Q8C24132yes—
801C22⋊Q8C24164yes—
802C22⋊Q8C24132yes—
803C22⋊Q8C24132yescomplemented
804C22⋊Q8C24132yescomplemented
805C22⋊Q8C24164yescomplemented
806C22⋊Q8C24132yescomplemented
807C22⋊Q8C24132yescomplemented
808C22⋊Q8C24164yescomplemented
809C22⋊Q8C24132yescomplemented
810C22⋊Q8C24132yescomplemented
811C22⋊Q8C24164yescomplemented
812C22⋊Q8C24164yescomplemented
813C22⋊Q8C24132yescomplemented
814C22⋊Q8C24116yescomplemented
815C22⋊Q8C24132yescomplemented
816C22⋊Q8C24164yescomplemented
817C22⋊Q8C24164yescomplemented
818C22⋊Q8C24164yescomplemented
819#121C24132yes—
820#121C24132yes—
821#121C24116yes—
822#121C24132yes—
823#121C24164yes—
824#121C24132yes—
825#121C24164yes—
826#121C24132yes—
827#121C24132yes—
828#121C24164yes—
829#121C24116yes—
830#121C24132yes—
831#121C24132yes—
832#121C24116yes—
833#121C24164yescomplemented
834#121C24132yescomplemented
835#121C24116yescomplemented
836#121C24132yescomplemented
837#121C24164yescomplemented
838#121C24164yescomplemented
839#121C24164yescomplemented
840#121C24164yescomplemented
841#121C24164yescomplemented
842#121C24132yescomplemented
843#121C24164yescomplemented
844#121C24164yescomplemented
845#121C24164yescomplemented
846#121C24164yescomplemented
847#121C24164yescomplemented
848#121C24164yescomplemented
849#121C24132yescomplemented
850#121C24132yescomplemented
851#121C24132yescomplemented
852#121C24132yescomplemented
853#121C24132yescomplemented
854#121C24164yescomplemented
855#121C24132yescomplemented
856#121C24132yescomplemented
857#121C24164yescomplemented
858#121C24164yescomplemented
859#121C24164yescomplemented
860#121C24164yescomplemented
861#121C24164yescomplemented
862#121C24164yescomplemented
863#121C24164yescomplemented
864#120C24132yes—
865#120C24164yes—
866#120C24132yes—
867#120C24132yes—
868#120C24132yes—
869#120C24164yes—
870#120C24164yes—
871#120C24164yes—
872#120C24164yes—
873#120C24132yes—
874#120C24132yes—
875#120C24132yes—
876#120C24164yescomplemented
877#120C24164yescomplemented
878#120C24164yescomplemented
879#120C24164yescomplemented
880#120C24164yescomplemented
881#120C24164yescomplemented
882#120C24164yescomplemented
883#120C24132yescomplemented
884#120C24132yescomplemented
885#120C24164yescomplemented
886#120C24132yescomplemented
887#120C24164yescomplemented
888C4×Q8C24116yescomplemented
889C4×Q8C24116yescomplemented
890C4×Q8C24116yescomplemented
891C4×Q8C24132yescomplemented
892C4×Q8C24132yescomplemented
893C4×D4C24116yes—
894C4×D4C24116yes—
895C4×D4C24116yes—
896C4×D4C24132yes—
897C4×D4C24132yes—
898C4×D4C24116yes—
899C4×D4C24132yes—
900C4×D4C24132yes—
901C4×D4C24116yes—
902C4×D4C24132yes—
903C4×D4C24132yes—
904C4×D4C24116yes—
905C4×D4C24116yes—
906C4×D4C24116yes—
907C4×D4C24164yes—
908C4×D4C24132yescomplemented
909C4×D4C24164yescomplemented
910C4×D4C24132yescomplemented
911C4×D4C24132yescomplemented
912C4×D4C24116yescomplemented
913C4×D4C24132yescomplemented
914C4×D4C24132yescomplemented
915C4×D4C24116yescomplemented
916C4×D4C24132yescomplemented
917C4×D4C24164yescomplemented
918C4×D4C24132yescomplemented
919C4×D4C24132yescomplemented
920C4×D4C24132yescomplemented
921C4×D4C24116yescomplemented
922C4×D4C24132yescomplemented
923C4×D4C24132yescomplemented
924C4×D4C24164yescomplemented
925C4×D4C24164yescomplemented
926C4×D4C24164yescomplemented
927C4×D4C24164yescomplemented
928C4×D4C24164yescomplemented
929C4×D4C24132yescomplemented
930C4×D4C24132yescomplemented
931C4×D4C24132yescomplemented
932C4×D4C24164yescomplemented
933C4×D4C24164yescomplemented
934#117C2418yes—
935#117C24116yes—
936#117C24132yescomplemented
937#117C24116yescomplemented
938#117C24116yescomplemented
939#117C24132yescomplemented
940#117C24132yescomplemented
941#117C24164yescomplemented
942#117C24132yescomplemented
943#117C24164yescomplemented
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C24116yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2418yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2418yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2418yes—
959C2×C4⋊C4C2418yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2418yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C24132yescomplemented
971C2×C4⋊C4C24132yescomplemented
972C2×C4⋊C4C24116yescomplemented
973C2×C4⋊C4C24164yescomplemented
974C2×C4⋊C4C24132yescomplemented
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C24132yes—
982C2×C22⋊C4C2418yes—
983C2×C22⋊C4C24132yes—
984C2×C22⋊C4C2418yes—
985C2×C22⋊C4C2418yes—
986C2×C22⋊C4C24164yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C24132yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2418yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C24132yes—
998C2×C22⋊C4C2418yes—
999C2×C22⋊C4C24132yes—
1000C2×C22⋊C4C24132yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2418yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2418yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2418yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2418yes—
1013C2×C22⋊C4C2418yes—
1014C2×C22⋊C4C2418yes—
1015C2×C22⋊C4C2418yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C24164yescomplemented
1023C2×C22⋊C4C24164yescomplemented
1024C2×C22⋊C4C24164yescomplemented
1025C2×C22⋊C4C24164yescomplemented
1026C2×C22⋊C4C24132yescomplemented
1027C2×C22⋊C4C24132yescomplemented
1028C2×C22⋊C4C24164yescomplemented
1029C2×C22⋊C4C24164yescomplemented
1030C2×C22⋊C4C24164yescomplemented
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2418yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2418yes—
1043C2×C42C24132yescomplemented
1044C2×C42C24116yescomplemented
1045C24—232no—
1046C24—216no—
1047C24—216no—
1048C24—216no—
1049C24—232no—
1050C24—216no—
1051C24—48no—
1052C24—48no—
1053C24—48no—
1054C24—416no—
1055C24—416no—
1056C24—416no—
1057C24—4128no—
1058C24—48no—
1059C24—416no—
1060C24—48no—
1061C24—464no—
1062C24—416no—
1063C24—48no—
1064C24—8128no—
1065C24C2514yes—
1066C24C2514yes—
1067C24C2514yes—
1068C24C2514yes—
1069C24C2512yes—
1070C24C25116yes—
1071C24C25116yes—
1072C24C2514yes—
1073C24C2511yescharacteristic
1074C24C25116yes—
1075C24C25132yes—
1076C24C25116yes—
1077C24C25116yes—
1078C24C25116yes—
1079#41—264no—
1080#41—2128no—
1081#41—464no—
1082#41—4128no—
1083#41—4128no—
1084#41—416no—
1085#41—4128no—
1086#41—464no—
1087#41—464no—
1088#41—464no—
1089#41—464no—
1090C2×Q8—28no—
1091C2×Q8—216no—
1092C2×Q8—416no—
1093C2×Q8—42no—
1094C2×Q8—48no—
1095C2×Q8—464no—
1096C2×Q8C2518yes—
1097C2×Q8C25116yes—
1098C2×Q8C2514yes—
1099C2×Q8C25116yes—
1100C2×Q8C25132yes—
1101C2×D4—216no—
1102C2×D4—232no—
1103C2×D4—232no—
1104C2×D4—216no—
1105C2×D4—232no—
1106C2×D4—216no—
1107C2×D4—216no—
1108C2×D4—28no—
1109C2×D4—264no—
1110C2×D4—2128no—
1111C2×D4—2128no—
1112C2×D4—264no—
1113C2×D4—28no—
1114C2×D4—216no—
1115C2×D4—216no—
1116C2×D4—28no—
1117C2×D4—464no—
1118C2×D4—464no—
1119C2×D4—464no—
1120C2×D4—464no—
1121C2×D4—416no—
1122C2×D4—416no—
1123C2×D4—416no—
1124C2×D4—48no—
1125C2×D4—416no—
1126C2×D4—48no—
1127C2×D4—48no—
1128C2×D4—416no—
1129C2×D4—416no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—48no—
1133C2×D4—432no—
1134C2×D4—48no—
1135C2×D4—416no—
1136C2×D4—48no—
1137C2×D4—416no—
1138C2×D4—416no—
1139C2×D4—4128no—
1140C2×D4—42no—
1141C2×D4—4128no—
1142C2×D4—4128no—
1143C2×D4—4128no—
1144C2×D4—464no—
1145C2×D4—464no—
1146C2×D4—4128no—
1147C2×D4—4128no—
1148C2×D4—4128no—
1149C2×D4H(5,𝔽2)116yescomplemented
1150C2×D4C2518yes—
1151C2×D4C25116yes—
1152C2×D4C25116yes—
1153C2×D4C2518yes—
1154C2×D4C25132yes—
1155C2×D4C25132yes—
1156C2×D4C25116yes—
1157C2×D4C25116yes—
1158C2×D4C25132yes—
1159C2×D4C25116yes—
1160C2×D4C25116yes—
1161C2×D4C2518yes—
1162C2×D4C2518yes—
1163C2×D4C25116yes—
1164C2×D4C2518yes—
1165C2×D4C25116yes—
1166C2×D4C25116yes—
1167C2×D4C25132yes—
1168C2×D4C2514yes—
1169C2×D4C25116yes—
1170C2×D4C25132yes—
1171C2×D4C25132yes—
1172C2×D4C25132yes—
1173C2×D4C25132yes—
1174C2×D4C25116yes—
1175C2×D4C25132yes—
1176C2×D4C25132yes—
1177C2×D4C25132yes—
1178C2×D4C25132yes—
1179C2×D4C25116yes—
1180C2×D4C2518yes—
1181C22×C4—216no—
1182C22×C4—232no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—216no—
1186C22×C4—28no—
1187C22×C4—216no—
1188C22×C4—216no—
1189C22×C4—28no—
1190C22×C4—464no—
1191C22×C4—464no—
1192C22×C4—48no—
1193C22×C4—48no—
1194C22×C4—48no—
1195C22×C4—48no—
1196C22×C4—416no—
1197C22×C4—48no—
1198C22×C4—416no—
1199C22×C4—48no—
1200C22×C4—416no—
1201C22×C4—4128no—
1202C22×C4—48no—
1203C22×C4—48no—
1204C22×C4—416no—
1205C22×C4—416no—
1206C22×C4—44no—
1207C22×C4C2514yes—
1208C22×C4C2518yes—
1209C22×C4C25116yes—
1210C22×C4C25116yes—
1211C22×C4C2518yes—
1212C22×C4C2518yes—
1213C22×C4C25132yes—
1214C22×C4C25116yes—
1215C22×C4C25116yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2518yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C25116yes—
1229C22×C4C2518yes—
1230C22×C4C25116yes—
1231C22×C4C25116yes—
1232C22×C4C25132yes—
1233C22×C4C25132yes—
1234C22×C4C25132yes—
1235C22×C4C25132yes—
1236C22×C4C25116yes—
1237C22×C4C25116yes—
1238C22×C4C25116yes—
1239C22×C4C25132yes—
1240C22×C4C25116yes—
1241C22×C4C25116yes—
1242C22×C4C2512yes—
1243C4⋊C4C2518yes—
1244C4⋊C4C2518yes—
1245C4⋊C4C25116yes—
1246C4⋊C4C2518yes—
1247C4⋊C4C25116yes—
1248C4⋊C4C2518yes—
1249C4⋊C4C25116yes—
1250C4⋊C4C25132yes—
1251C4⋊C4C25116yes—
1252C4⋊C4C25116yes—
1253C4⋊C4C25116yes—
1254C4⋊C4C25132yes—
1255C4⋊C4C25116yes—
1256C4⋊C4C25132yes—
1257C4⋊C4C25132yes—
1258C4⋊C4C2518yes—
1259C4⋊C4C25116yes—
1260C4⋊C4C2518yes—
1261C4⋊C4C25116yes—
1262C4⋊C4C25132yes—
1263C4⋊C4C2518yes—
1264C4⋊C4C25116yes—
1265C4⋊C4C25116yes—
1266C4⋊C4C25116yes—
1267C4⋊C4C25116yes—
1268C22⋊C4C2514yes—
1269C22⋊C4C25116yes—
1270C22⋊C4C25116yes—
1271C22⋊C4C2514yes—
1272C22⋊C4C25116yes—
1273C22⋊C4C25116yes—
1274C22⋊C4C25132yes—
1275C22⋊C4C25132yes—
1276C22⋊C4C25132yes—
1277C22⋊C4C25116yes—
1278C22⋊C4C25116yes—
1279C22⋊C4C25116yes—
1280C22⋊C4C25132yes—
1281C22⋊C4C25116yes—
1282C22⋊C4C25116yes—
1283C22⋊C4C25116yes—
1284C22⋊C4C25116yes—
1285C22⋊C4C25116yes—
1286C22⋊C4C25132yes—
1287C22⋊C4C25116yes—
1288C22⋊C4C25116yes—
1289C22⋊C4C25116yes—
1290C22⋊C4C25132yes—
1291C22⋊C4C2518yes—
1292C22⋊C4C25116yes—
1293C22⋊C4C25132yes—
1294C22⋊C4C25116yes—
1295C22⋊C4C25116yes—
1296C22⋊C4C25132yes—
1297C22⋊C4C25116yes—
1298C22⋊C4C25132yes—
1299C22⋊C4C25132yes—
1300C22⋊C4C25132yes—
1301C22⋊C4C25132yes—
1302C22⋊C4C25116yes—
1303C22⋊C4C25116yes—
1304C22⋊C4C2518yes—
1305C22⋊C4C25116yes—
1306C22⋊C4C25116yes—
1307C22⋊C4C25116yes—
1308C42C2514yes—
1309C42C2518yes—
1310C42C2514yes—
1311C42C2518yes—
1312C42C2518yes—
1313C42C25116yes—
1314C42C25116yes—
1315C42C2518yes—
1316C42C25116yes—
1317C42C25116yes—
1318C42C25132yes—
1319C23—28no—
1320C23—24no—
1321C23—28no—
1322C23—24no—
1323C23—28no—
1324C23—28no—
1325C23—24no—
1326C23—264no—
1327C23—216no—
1328C23—28no—
1329C23—216no—
1330C23—232no—
1331C23—28no—
1332C23—24no—
1333C23—28no—
1334C23—28no—
1335C23—28no—
1336C23—232no—
1337C23—28no—
1338C23—232no—
1339C23—264no—
1340C23—232no—
1341C23—416no—
1342C23—416no—
1343C23—416no—
1344C23—432no—
1345C23—432no—
1346C23—432no—
1347C23—416no—
1348C23—432no—
1349C23—416no—
1350C23—432no—
1351C23—416no—
1352C23—464no—
1353C23—464no—
1354C23—832no—
1355C23—832no—
1356C23—864no—
1357C23—8256no—
1358C23—832no—
1359C23—1616no—
1360C23C2×H(5,𝔽2)116yes—
1361C23#58514yes—
1362C23C2618yes—
1363C23C2618yes—
1364C23C2618yes—
1365C23C2618yes—
1366C23C2614yes—
1367C23C2618yes—
1368C23C2612yes—
1369C23C2611yescharacteristic
1370Q8—216no—
1371Q8—232no—
1372Q8—432no—
1373Q8—44no—
1374Q8—416no—
1375D4—232no—
1376D4—264no—
1377D4—264no—
1378D4—232no—
1379D4—264no—
1380D4—232no—
1381D4—232no—
1382D4—216no—
1383D4—216no—
1384D4—232no—
1385D4—232no—
1386D4—216no—
1387D4—432no—
1388D4—432no—
1389D4—432no—
1390D4—416no—
1391D4—432no—
1392D4—416no—
1393D4—416no—
1394D4—432no—
1395D4—432no—
1396D4—48no—
1397D4—48no—
1398D4—416no—
1399D4—416no—
1400D4—432no—
1401D4—416no—
1402D4—432no—
1403D4—432no—
1404D4—44no—
1405D4C2×H(5,𝔽2)132yescomplemented
1406C2×C4—24no—
1407C2×C4—28no—
1408C2×C4—24no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—24no—
1412C2×C4—216no—
1413C2×C4—28no—
1414C2×C4—232no—
1415C2×C4—264no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—28no—
1419C2×C4—28no—
1420C2×C4—24no—
1421C2×C4—216no—
1422C2×C4—232no—
1423C2×C4—216no—
1424C2×C4—232no—
1425C2×C4—232no—
1426C2×C4—216no—
1427C2×C4—416no—
1428C2×C4—416no—
1429C2×C4—416no—
1430C2×C4—416no—
1431C2×C4—432no—
1432C2×C4—416no—
1433C2×C4—432no—
1434C2×C4—416no—
1435C2×C4—432no—
1436C2×C4—416no—
1437C2×C4—416no—
1438C2×C4—432no—
1439C2×C4—432no—
1440C2×C4—48no—
1441C2×C4C2×H(5,𝔽2)18yes—
1442C2×C4C2612yes—
1443C2×C4C2614yes—
1444C2×C4C2612yes—
1445C2×C4C2618yes—
1446C2×C4C2614yes—
1447C2×C4C2618yes—
1448C2×C4C2614yes—
1449C2×C4C2618yes—
1450C2×C4C26116yes—
1451C2×C4C2618yes—
1452C2×C4C2614yes—
1453C2×C4C2618yes—
1454C2×C4C2614yes—
1455C22—28no—
1456C22—232no—
1457C22—28no—
1458C22—24no—
1459C22—28no—
1460C22—24no—
1461C22—28no—
1462C22—28no—
1463C22—24no—
1464C22—216no—
1465C22—28no—
1466C22—216no—
1467C22—28no—
1468C22—24no—
1469C22—28no—
1470C22—28no—
1471C22—28no—
1472C22—28no—
1473C22—464no—
1474C22—464no—
1475C22—416no—
1476C22—416no—
1477C22—48no—
1478C22—416no—
1479C22—416no—
1480C22—832no—
1481C22—832no—
1482C22—864no—
1483C22—832no—
1484C22—1616no—
1485C22C22×H(5,𝔽2)116yes—
1486C22C22×H(5,𝔽2)14yes—
1487C22C2×#58514yes—
1488C22C2×#58512yes—
1489C22C2711yescharacteristic
1490C4—24no—
1491C4—28no—
1492C4—24no—
1493C4—28no—
1494C4—28no—
1495C4—24no—
1496C4—216no—
1497C4—28no—
1498C4—22no—
1499C4—22no—
1500C4—28no—
1501C4—24no—
1502C4C22×H(5,𝔽2)18yes—
1503C2—24no—
1504C2—216no—
1505C2—48no—
1506C2—48no—
1507C2—44no—
1508C2—48no—
1509C2—48no—
1510C2#6301214yesdirect product factor
1511C2C23×H(5,𝔽2)12yes—
1512C2C22×#58511yescharacteristic
subgroupG/H
center, socleC23C26
commutator, Frattini, cosocleC22C27
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #63012C2direct (N × H)
2. C2×#3508C2semidirect
3. C2×#3488C2semidirect
4. C2×#3514C2semidirect
5. C2×#3520C2semidirect
6. C2×#3519C2semidirect
7. C2×#3513C2semidirect
8. C2×#3490C2semidirect
9. C2×#3496C2semidirect
10. C2×#3484C2semidirect
11. C2×#3546C2semidirect
12. C2×#3543C2semidirect
13. C2×#3558C2semidirect
14. C2×#3536C2semidirect
15. C2×#3534C2semidirect
16. C2×#3542C2semidirect
17. C2×#3532C2semidirect
18. C2×#3481C2semidirect
19. C2×D4×#41C2semidirect
20. C22×#546C2semidirect
21. C22×D42C2semidirect
22. C22×H(5,𝔽2)C22semidirect
23. C23×#41C22semidirect
24. C24×D4C22semidirect
25. #3558C22semidirect
26. #3546C22semidirect
27. #3543C22semidirect
28. #3542C22semidirect
29. #3536C22semidirect
30. #3534C22semidirect
31. #3532C22semidirect
32. C2×#562C22semidirect
33. C2×#562C22semidirect
34. C2×H(3,𝔽4)C22semidirect
35. C2×#560C22semidirect
36. C2×#560C22semidirect
37. C2×#560C22semidirect
38. #3520C22semidirect
39. #3519C22semidirect
40. #3514C22semidirect
41. #3513C22semidirect
42. #3508C22semidirect
43. #3496C22semidirect
44. #3490C22semidirect
45. #3488C22semidirect
46. #3484C22semidirect
47. #3481C22semidirect
48. C2×#559C22semidirect
49. C2×#559C22semidirect
50. C2×#559C22semidirect
51. C2×#556C22semidirect
52. C2×#555C22semidirect
53. C2×#554C22semidirect
54. C2×#554C22semidirect
55. C2×#554C22semidirect
56. C2×#553C22semidirect
57. C2×#553C22semidirect
58. C2×#553C22semidirect
59. C2×#553C22semidirect
60. C2×#553C22semidirect
61. C2×#552C22semidirect
62. C2×#551C22semidirect
63. C2×#551C22semidirect
64. C2×#551C22semidirect
65. C2×#551C22semidirect
66. C2×#551C22semidirect
67. C2×#551C22semidirect
68. D4×#41C22semidirect
69. C2×#550C22semidirect
70. C2×#550C22semidirect
71. C2×#550C22semidirect
72. C2×D4×Q8C22semidirect
73. C2×#548C22semidirect
74. C2×#548C22semidirect
75. C2×#548C22semidirect
76. C2×#547C22semidirect
77. C2×#547C22semidirect
78. C2×#547C22semidirect
79. C2×#547C22semidirect
80. C2×#546C22semidirect
81. C2×#546C22semidirect
82. C2×#546C22semidirect
83. C2×#546C22semidirect
84. C2×#546C22semidirect
85. C2×#546C22semidirect
86. C2×#546C22semidirect
87. C2×#546C22semidirect
88. C2×#546C22semidirect
89. C2×#546C22semidirect
90. C2×#546C22semidirect
91. C2×#546C22semidirect
92. C2×#546C22semidirect
93. C2×#546C22semidirect
94. C2×#546C22semidirect
95. C2×#546C22semidirect
96. C2×#546C22semidirect
97. C2×#546C22semidirect
98. C2×#546C22semidirect
99. C2×#546C22semidirect
100. C2×#546C22semidirect
101. C2×#546C22semidirect
102. C2×#546C22semidirect
103. C2×#546C22semidirect
104. C2×#546C22semidirect
105. C2×D42C22semidirect
106. C2×D42C22semidirect
107. C2×D42C22semidirect
108. C2×D42C22semidirect
109. C2×D42C22semidirect
110. C2×D42C22semidirect
111. C2×D42C22semidirect
112. C2×D42C22semidirect
113. C2×D42C22semidirect
114. C2×D42C22semidirect
115. C2×D42C22semidirect
116. C2×D42C22semidirect
117. C2×D42C22semidirect
118. C2×D42C22semidirect
119. C2×D42C22semidirect
120. C2×#543C22semidirect
121. C2×#542C22semidirect
122. C2×#542C22semidirect
123. C2×#542C22semidirect
124. C2×#540C22semidirect
125. C2×#540C22semidirect
126. C2×#540C22semidirect
127. C2×#539C22semidirect
128. C2×#539C22semidirect
129. C2×#538C22semidirect
130. C2×#538C22semidirect
131. C2×#538C22semidirect
132. C2×#538C22semidirect
133. C2×#538C22semidirect
134. C2×#538C22semidirect
135. C2×#537C22semidirect
136. C2×#537C22semidirect
137. C2×#537C22semidirect
138. C2×#535C22semidirect
139. C2×#535C22semidirect
140. C2×#535C22semidirect
141. C2×#535C22semidirect
142. C2×#535C22semidirect
143. C2×#534C22semidirect
144. C2×#534C22semidirect
145. C2×#534C22semidirect
146. C2×#534C22semidirect
147. C2×#533C22semidirect
148. C2×#532C22semidirect
149. C2×#532C22semidirect
150. C2×#532C22semidirect
151. C2×#532C22semidirect
152. C22×#127C22semidirect
153. C2×#529C22semidirect
154. C2×#529C22semidirect
155. C2×#529C22semidirect
156. C2×#529C22semidirect
157. C22×#124C22semidirect
158. C2×#525C22semidirect
159. C2×#525C22semidirect
160. C2×#525C22semidirect
161. C2×#525C22semidirect
162. C2×#525C22semidirect
163. C2×#525C22semidirect
164. C22×#123C22semidirect
165. C22×C22⋊Q8C22semidirect
166. C22×#121C22semidirect
167. C22×#121C22semidirect
168. C22×#121C22semidirect
169. C22×#121C22semidirect
170. C22×#120C22semidirect
171. C22×#120C22semidirect
172. C22×#120C22semidirect
173. C2×#520C22semidirect
174. C2×#518C22semidirect
175. C2×#518C22semidirect
176. C2×#518C22semidirect
177. C2×C4×#41C22semidirect
178. C2×C4×#41C22semidirect
179. C22×C4×D4C22semidirect
180. C22×C4×D4C22semidirect
181. C22×C4×D4C22semidirect
182. C22×C4×D4C22semidirect
183. C23×C22⋊C4C22semidirect
186. C2×H(5,𝔽2)C23semidirect
191. C22×#41C23semidirect
192. C22×#41C23semidirect
193. C22×#41C23semidirect
194. C22×#41C23semidirect
195. C22×#41C23semidirect
196. C22×#41C23semidirect
197. C22×#41C23semidirect
198. C22×#41C23semidirect
199. C22×#41C23semidirect
200. C23×Q8C23semidirect
215. C23×D4C23semidirect
216. C23×D4C23semidirect
217. C23×D4C23semidirect
218. C23×D4C23semidirect
219. C23×D4C23semidirect
220. C23×D4C23semidirect
222. C24×C4C23semidirect
223. C24×C4C23semidirect
224. #562C23semidirect
225. #562C23semidirect
226. H(3,𝔽4)C23semidirect
227. #560C23semidirect
228. #560C23semidirect
229. #560C23semidirect
230. #559C23semidirect
231. #559C23semidirect
232. #559C23semidirect
233. #556C23semidirect
234. #555C23semidirect
235. #554C23semidirect
236. #554C23semidirect
237. #554C23semidirect
238. #553C23semidirect
239. #553C23semidirect
240. #553C23semidirect
241. #553C23semidirect
242. #553C23semidirect
243. #552C23semidirect
244. #551C23semidirect
245. #551C23semidirect
246. #551C23semidirect
247. #551C23semidirect
248. #551C23semidirect
249. #551C23semidirect
250. #550C23semidirect
251. #550C23semidirect
252. #550C23semidirect
253. D4×Q8C23semidirect
254. #548C23semidirect
255. #548C23semidirect
256. #548C23semidirect
257. #547C23semidirect
258. #547C23semidirect
259. #547C23semidirect
260. #547C23semidirect
261. #546C23semidirect
262. #546C23semidirect
263. #546C23semidirect
264. #546C23semidirect
265. #546C23semidirect
266. #546C23semidirect
267. #546C23semidirect
268. #546C23semidirect
269. #546C23semidirect
270. #546C23semidirect
271. #546C23semidirect
272. #546C23semidirect
273. #546C23semidirect
274. #546C23semidirect
275. #546C23semidirect
276. #546C23semidirect
277. #546C23semidirect
278. #546C23semidirect
279. #546C23semidirect
280. #546C23semidirect
281. #546C23semidirect
282. #546C23semidirect
283. #546C23semidirect
284. #546C23semidirect
285. D42C23semidirect
286. D42C23semidirect
287. D42C23semidirect
288. D42C23semidirect
289. D42C23semidirect
290. D42C23semidirect
291. D42C23semidirect
292. D42C23semidirect
293. D42C23semidirect
294. D42C23semidirect
295. D42C23semidirect
296. D42C23semidirect
297. D42C23semidirect
298. D42C23semidirect
299. #543C23semidirect
300. #542C23semidirect
301. #542C23semidirect
302. #542C23semidirect
303. #540C23semidirect
304. #540C23semidirect
305. #540C23semidirect
306. #539C23semidirect
307. #539C23semidirect
308. #538C23semidirect
309. #538C23semidirect
310. #538C23semidirect
311. #538C23semidirect
312. #538C23semidirect
313. #538C23semidirect
314. #537C23semidirect
315. #537C23semidirect
316. #537C23semidirect
317. #535C23semidirect
318. #535C23semidirect
319. #535C23semidirect
320. #535C23semidirect
321. #535C23semidirect
322. #534C23semidirect
323. #534C23semidirect
324. #534C23semidirect
325. #534C23semidirect
326. #533C23semidirect
327. #532C23semidirect
328. #532C23semidirect
329. #532C23semidirect
330. #532C23semidirect
331. C2×C4⋊Q8C23semidirect
332. C2×C4⋊Q8C23semidirect
333. C2×C4⋊Q8C23semidirect
339. C2×#127C23semidirect
340. C2×#127C23semidirect
341. C2×#127C23semidirect
342. C2×#127C23semidirect
343. #529C23semidirect
344. #529C23semidirect
345. #529C23semidirect
346. #529C23semidirect
347. C2×#126C23semidirect
348. C2×#126C23semidirect
349. C2×#126C23semidirect
350. C2×#126C23semidirect
351. C2×#126C23semidirect
352. C2×#126C23semidirect
353. C2×#126C23semidirect
354. C2×#126C23semidirect
355. C2×#125C23semidirect
356. C2×#125C23semidirect
357. C2×#125C23semidirect
358. C2×#125C23semidirect
359. C2×#125C23semidirect
362. C2×#124C23semidirect
363. C2×#124C23semidirect
364. C2×#124C23semidirect
365. C2×#124C23semidirect
366. C2×#124C23semidirect
367. C2×#124C23semidirect
368. C2×#124C23semidirect
369. C2×#124C23semidirect
370. C2×#124C23semidirect
371. C2×#124C23semidirect
372. C2×#124C23semidirect
373. C2×#124C23semidirect
374. C2×#124C23semidirect
375. C2×#124C23semidirect
376. #525C23semidirect
377. #525C23semidirect
378. #525C23semidirect
379. #525C23semidirect
380. #525C23semidirect
381. #525C23semidirect
385. C2×#123C23semidirect
386. C2×#123C23semidirect
387. C2×#123C23semidirect
388. C2×#123C23semidirect
389. C2×#123C23semidirect
390. C2×#123C23semidirect
391. C2×#123C23semidirect
392. C2×#123C23semidirect
393. C2×#123C23semidirect
394. C2×#123C23semidirect
395. C2×#123C23semidirect
396. C2×#123C23semidirect
397. C2×#123C23semidirect
398. C2×#123C23semidirect
399. C2×#123C23semidirect
400. C2×#123C23semidirect
401. C2×#123C23semidirect
402. C2×#123C23semidirect
403. C2×#123C23semidirect
404. C2×#123C23semidirect
405. C2×#123C23semidirect
406. C2×#123C23semidirect
407. C2×#123C23semidirect
412. C2×C22⋊Q8C23semidirect
413. C2×C22⋊Q8C23semidirect
414. C2×C22⋊Q8C23semidirect
415. C2×C22⋊Q8C23semidirect
416. C2×C22⋊Q8C23semidirect
417. C2×C22⋊Q8C23semidirect
418. C2×C22⋊Q8C23semidirect
419. C2×C22⋊Q8C23semidirect
420. C2×C22⋊Q8C23semidirect
421. C2×C22⋊Q8C23semidirect
422. C2×C22⋊Q8C23semidirect
423. C2×C22⋊Q8C23semidirect
424. C2×C22⋊Q8C23semidirect
425. C2×C22⋊Q8C23semidirect
426. C2×C22⋊Q8C23semidirect
427. C2×C22⋊Q8C23semidirect
428. C2×C22⋊Q8C23semidirect
443. C2×#121C23semidirect
444. C2×#121C23semidirect
445. C2×#121C23semidirect
446. C2×#121C23semidirect
447. C2×#121C23semidirect
448. C2×#121C23semidirect
449. C2×#121C23semidirect
450. C2×#121C23semidirect
451. C2×#121C23semidirect
452. C2×#121C23semidirect
453. C2×#121C23semidirect
454. C2×#121C23semidirect
455. C2×#121C23semidirect
456. C2×#121C23semidirect
457. C2×#121C23semidirect
458. C2×#121C23semidirect
459. C2×#121C23semidirect
460. C2×#121C23semidirect
461. C2×#121C23semidirect
462. C2×#121C23semidirect
463. C2×#121C23semidirect
464. C2×#121C23semidirect
465. C2×#121C23semidirect
466. C2×#121C23semidirect
467. C2×#121C23semidirect
468. C2×#121C23semidirect
469. C2×#121C23semidirect
470. C2×#121C23semidirect
471. C2×#121C23semidirect
472. C2×#121C23semidirect
473. C2×#121C23semidirect
474. C2×#121C23semidirect
475. C2×#121C23semidirect
476. C2×#121C23semidirect
477. C2×#121C23semidirect
490. C2×#120C23semidirect
491. C2×#120C23semidirect
492. C2×#120C23semidirect
493. C2×#120C23semidirect
494. C2×#120C23semidirect
495. C2×#120C23semidirect
496. C2×#120C23semidirect
497. C2×#120C23semidirect
498. C2×#120C23semidirect
499. C2×#120C23semidirect
500. C2×#120C23semidirect
501. C2×#120C23semidirect
502. C2×#120C23semidirect
503. C2×#120C23semidirect
504. C2×#120C23semidirect
505. #520C23semidirect
506. #518C23semidirect
507. #518C23semidirect
508. #518C23semidirect
509. C4×#41C23semidirect
510. C4×#41C23semidirect
511. C2×C4×Q8C23semidirect
512. C2×C4×Q8C23semidirect
513. C2×C4×Q8C23semidirect
514. C2×C4×Q8C23semidirect
515. C2×C4×Q8C23semidirect
531. C2×C4×D4C23semidirect
532. C2×C4×D4C23semidirect
533. C2×C4×D4C23semidirect
534. C2×C4×D4C23semidirect
535. C2×C4×D4C23semidirect
536. C2×C4×D4C23semidirect
537. C2×C4×D4C23semidirect
538. C2×C4×D4C23semidirect
539. C2×C4×D4C23semidirect
540. C2×C4×D4C23semidirect
541. C2×C4×D4C23semidirect
542. C2×C4×D4C23semidirect
543. C2×C4×D4C23semidirect
544. C2×C4×D4C23semidirect
545. C2×C4×D4C23semidirect
546. C2×C4×D4C23semidirect
547. C2×C4×D4C23semidirect
548. C2×C4×D4C23semidirect
549. C2×C4×D4C23semidirect
550. C2×C4×D4C23semidirect
551. C2×C4×D4C23semidirect
552. C2×C4×D4C23semidirect
553. C2×C4×D4C23semidirect
554. C2×C4×D4C23semidirect
555. C2×C4×D4C23semidirect
556. C2×C4×D4C23semidirect
557. C2×C4×D4C23semidirect
558. C2×C4×D4C23semidirect
559. C2×C4×D4C23semidirect
560. C2×C4×D4C23semidirect
563. C2×#117C23semidirect
564. C2×#117C23semidirect
565. C2×#117C23semidirect
566. C2×#117C23semidirect
567. C2×#117C23semidirect
568. C2×#117C23semidirect
569. C2×#117C23semidirect
570. C2×#117C23semidirect
572. C22×C4⋊C4C23semidirect
573. C22×C4⋊C4C23semidirect
574. C22×C4⋊C4C23semidirect
575. C22×C4⋊C4C23semidirect
576. C22×C4⋊C4C23semidirect
584. C22×C22⋊C4C23semidirect
585. C22×C22⋊C4C23semidirect
586. C22×C22⋊C4C23semidirect
587. C22×C22⋊C4C23semidirect
588. C22×C22⋊C4C23semidirect
589. C22×C22⋊C4C23semidirect
590. C22×C22⋊C4C23semidirect
591. C22×C22⋊C4C23semidirect
592. C22×C22⋊C4C23semidirect
593. C22×C22⋊C4C23semidirect
595. C22×C42C23semidirect
596. C22×C42C23semidirect
623. C2×#41C24semidirect
624. C2×#41C24semidirect
625. C2×#41C24semidirect
626. C2×#41C24semidirect
627. C2×#41C24semidirect
628. C2×#41C24semidirect
629. C2×#41C24semidirect
630. C2×#41C24semidirect
637. C22×Q8C24semidirect
701. C22×D4C24semidirect
702. C22×D4C24semidirect
703. C22×D4C24semidirect
704. C22×D4C24semidirect
705. C22×D4C24semidirect
733. C23×C4C24semidirect
734. C23×C4C24semidirect
735. C4⋊Q8C24semidirect
736. C4⋊Q8C24semidirect
737. C4⋊Q8C24semidirect
743. #127C24semidirect
744. #127C24semidirect
745. #127C24semidirect
746. #126C24semidirect
747. #126C24semidirect
748. #126C24semidirect
749. #126C24semidirect
750. #126C24semidirect
751. #126C24semidirect
752. #126C24semidirect
753. #126C24semidirect
754. #125C24semidirect
755. #125C24semidirect
756. #125C24semidirect
757. #125C24semidirect
758. #125C24semidirect
761. #124C24semidirect
762. #124C24semidirect
763. #124C24semidirect
764. #124C24semidirect
765. #124C24semidirect
766. #124C24semidirect
767. #124C24semidirect
768. #124C24semidirect
769. #124C24semidirect
770. #124C24semidirect
771. #124C24semidirect
772. #124C24semidirect
773. #124C24semidirect
777. #123C24semidirect
778. #123C24semidirect
779. #123C24semidirect
780. #123C24semidirect
781. #123C24semidirect
782. #123C24semidirect
783. #123C24semidirect
784. #123C24semidirect
785. #123C24semidirect
786. #123C24semidirect
787. #123C24semidirect
788. #123C24semidirect
789. #123C24semidirect
790. #123C24semidirect
791. #123C24semidirect
792. #123C24semidirect
793. #123C24semidirect
794. #123C24semidirect
795. #123C24semidirect
796. #123C24semidirect
797. #123C24semidirect
798. #123C24semidirect
803. C22⋊Q8C24semidirect
804. C22⋊Q8C24semidirect
805. C22⋊Q8C24semidirect
806. C22⋊Q8C24semidirect
807. C22⋊Q8C24semidirect
808. C22⋊Q8C24semidirect
809. C22⋊Q8C24semidirect
810. C22⋊Q8C24semidirect
811. C22⋊Q8C24semidirect
812. C22⋊Q8C24semidirect
813. C22⋊Q8C24semidirect
814. C22⋊Q8C24semidirect
815. C22⋊Q8C24semidirect
816. C22⋊Q8C24semidirect
817. C22⋊Q8C24semidirect
818. C22⋊Q8C24semidirect
833. #121C24semidirect
834. #121C24semidirect
835. #121C24semidirect
836. #121C24semidirect
837. #121C24semidirect
838. #121C24semidirect
839. #121C24semidirect
840. #121C24semidirect
841. #121C24semidirect
842. #121C24semidirect
843. #121C24semidirect
844. #121C24semidirect
845. #121C24semidirect
846. #121C24semidirect
847. #121C24semidirect
848. #121C24semidirect
849. #121C24semidirect
850. #121C24semidirect
851. #121C24semidirect
852. #121C24semidirect
853. #121C24semidirect
854. #121C24semidirect
855. #121C24semidirect
856. #121C24semidirect
857. #121C24semidirect
858. #121C24semidirect
859. #121C24semidirect
860. #121C24semidirect
861. #121C24semidirect
862. #121C24semidirect
863. #121C24semidirect
876. #120C24semidirect
877. #120C24semidirect
878. #120C24semidirect
879. #120C24semidirect
880. #120C24semidirect
881. #120C24semidirect
882. #120C24semidirect
883. #120C24semidirect
884. #120C24semidirect
885. #120C24semidirect
886. #120C24semidirect
887. #120C24semidirect
888. C4×Q8C24semidirect
889. C4×Q8C24semidirect
890. C4×Q8C24semidirect
891. C4×Q8C24semidirect
892. C4×Q8C24semidirect
908. C4×D4C24semidirect
909. C4×D4C24semidirect
910. C4×D4C24semidirect
911. C4×D4C24semidirect
912. C4×D4C24semidirect
913. C4×D4C24semidirect
914. C4×D4C24semidirect
915. C4×D4C24semidirect
916. C4×D4C24semidirect
917. C4×D4C24semidirect
918. C4×D4C24semidirect
919. C4×D4C24semidirect
920. C4×D4C24semidirect
921. C4×D4C24semidirect
922. C4×D4C24semidirect
923. C4×D4C24semidirect
924. C4×D4C24semidirect
925. C4×D4C24semidirect
926. C4×D4C24semidirect
927. C4×D4C24semidirect
928. C4×D4C24semidirect
929. C4×D4C24semidirect
930. C4×D4C24semidirect
931. C4×D4C24semidirect
932. C4×D4C24semidirect
933. C4×D4C24semidirect
936. #117C24semidirect
937. #117C24semidirect
938. #117C24semidirect
939. #117C24semidirect
940. #117C24semidirect
941. #117C24semidirect
942. #117C24semidirect
943. #117C24semidirect
970. C2×C4⋊C4C24semidirect
971. C2×C4⋊C4C24semidirect
972. C2×C4⋊C4C24semidirect
973. C2×C4⋊C4C24semidirect
974. C2×C4⋊C4C24semidirect
1022. C2×C22⋊C4C24semidirect
1023. C2×C22⋊C4C24semidirect
1024. C2×C22⋊C4C24semidirect
1025. C2×C22⋊C4C24semidirect
1026. C2×C22⋊C4C24semidirect
1027. C2×C22⋊C4C24semidirect
1028. C2×C22⋊C4C24semidirect
1029. C2×C22⋊C4C24semidirect
1030. C2×C22⋊C4C24semidirect
1043. C2×C42C24semidirect
1044. C2×C42C24semidirect
1149. C2×D4H(5,𝔽2)semidirect
1405. D4C2×H(5,𝔽2)semidirect
1510. C2#63012direct (N × H)

Maximal subgroups

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

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