Finite Group Databasebeta

← C3×#63012 #10681619

Subgroups — C3×#63012 #10681619

Order 768.

8050 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
1C3×#3558C214yesmaximal, complemented
2C3×#3546C212yesmaximal, complemented
3C3×#3543C211yesmaximal, characteristic, complemented
4C3×#3542C214yesmaximal, complemented
5C3×#3536C214yesmaximal, complemented
6C3×#3534C218yesmaximal, complemented
7C3×#3532C214yesmaximal, complemented
8C3×#3520C212yesmaximal, complemented
9C3×#3519C214yesmaximal, complemented
10C3×#3514C212yesmaximal, complemented
11C3×#3513C214yesmaximal, complemented
12C3×#3508C211yesmaximal, characteristic, complemented
13C3×#3496C212yesmaximal, complemented
14C3×#3490C214yesmaximal, complemented
15C3×#3488C214yesmaximal, complemented
16C3×#3484C214yesmaximal, complemented
17C3×#3481C212yesmaximal, complemented
18C3×D4×#41C212yesmaximal, complemented
19C2×C3×#546C214yesmaximal, complemented
20C2×C3×D42C211yesmaximal, characteristic, complemented
21#63012C311yesmaximal, characteristic, direct product factor, Sylow
22C2×C3×H(5,𝔽2)C2214yescomplemented
23C22×C3×#41C2214yescomplemented
24C23×C3×D4C2214yescomplemented
25C3×#562C2218yescomplemented
26C3×#562C2218yescomplemented
27C3×H(3,𝔽4)C2214yescomplemented
28C3×#560C2218yescomplemented
29C3×#560C2214yescomplemented
30C3×#560C2214yescomplemented
31C3×#559C2212yescomplemented
32C3×#559C2214yescomplemented
33C3×#559C2211yescharacteristic, complemented
34C3×#556C2212yescomplemented
35C3×#555C2214yescomplemented
36C3×#554C2212yescomplemented
37C3×#554C2214yescomplemented
38C3×#554C2212yescomplemented
39C3×#553C2212yescomplemented
40C3×#553C2214yescomplemented
41C3×#553C2212yescomplemented
42C3×#553C2218yescomplemented
43C3×#553C2214yescomplemented
44C3×#552C2214yescomplemented
45C3×#551C2214yescomplemented
46C3×#551C2218yescomplemented
47C3×#551C2214yescomplemented
48C3×#551C2218yescomplemented
49C3×#551C2218yescomplemented
50C3×#551C2214yescomplemented
51C3×#550C2214yescomplemented
52C3×#550C2212yescomplemented
53C3×#550C2214yescomplemented
54C3×D4×Q8C2212yescomplemented
55C3×#548C2214yescomplemented
56C3×#548C2214yescomplemented
57C3×#548C2214yescomplemented
58C3×#547C2212yescomplemented
59C3×#547C2212yescomplemented
60C3×#547C2214yescomplemented
61C3×#547C2214yescomplemented
62C3×#546C2212yescomplemented
63C3×#546C2214yescomplemented
64C3×#546C2218yescomplemented
65C3×#546C2214yescomplemented
66C3×#546C2218yescomplemented
67C3×#546C2214yescomplemented
68C3×#546C2218yescomplemented
69C3×#546C2214yescomplemented
70C3×#546C2214yescomplemented
71C3×#546C2214yescomplemented
72C3×#546C2214yescomplemented
73C3×#546C2214yescomplemented
74C3×#546C2212yescomplemented
75C3×#546C2218yescomplemented
76C3×#546C2218yescomplemented
77C3×#546C2218yescomplemented
78C3×#546C2218yescomplemented
79C3×#546C2218yescomplemented
80C3×#546C2218yescomplemented
81C3×#546C2214yescomplemented
82C3×#546C2214yescomplemented
83C3×#546C2214yescomplemented
84C3×#546C2218yescomplemented
85C3×#546C2214yescomplemented
86C3×D42C2211yescharacteristic, complemented
87C3×D42C2214yescomplemented
88C3×D42C2212yescomplemented
89C3×D42C2214yescomplemented
90C3×D42C2214yescomplemented
91C3×D42C2211yescharacteristic, complemented
92C3×D42C2212yescomplemented
93C3×D42C2218yescomplemented
94C3×D42C2214yescomplemented
95C3×D42C2214yescomplemented
96C3×D42C2218yescomplemented
97C3×D42C2214yescomplemented
98C3×D42C2214yescomplemented
99C3×D42C2211yescharacteristic, complemented
100C3×#543C2214yescomplemented
101C3×#542C2214yescomplemented
102C3×#542C2214yescomplemented
103C3×#542C2214yescomplemented
104C3×#540C2218yescomplemented
105C3×#540C2214yescomplemented
106C3×#540C2214yescomplemented
107C3×#539C2218yescomplemented
108C3×#539C2218yescomplemented
109C3×#538C2218yescomplemented
110C3×#538C2218yescomplemented
111C3×#538C2218yescomplemented
112C3×#538C2218yescomplemented
113C3×#538C2218yescomplemented
114C3×#538C2218yescomplemented
115C3×#537C2218yescomplemented
116C3×#537C2214yescomplemented
117C3×#537C2214yescomplemented
118C3×#535C2212yescomplemented
119C3×#535C2218yescomplemented
120C3×#535C2214yescomplemented
121C3×#535C2214yescomplemented
122C3×#535C2214yescomplemented
123C3×#534C2214yescomplemented
124C3×#534C2218yescomplemented
125C3×#534C2218yescomplemented
126C3×#534C2218yescomplemented
127C3×#533C2211yescharacteristic, complemented
128C3×#532C2212yescomplemented
129C3×#532C2214yescomplemented
130C3×#532C2212yescomplemented
131C3×#532C2212yescomplemented
132C2×C3×#127C2211yescharacteristic, complemented
133C3×#529C2212yescomplemented
134C3×#529C2214yescomplemented
135C3×#529C2212yescomplemented
136C3×#529C2214yescomplemented
137C2×C3×#124C2214yescomplemented
138C3×#525C2214yescomplemented
139C3×#525C2214yescomplemented
140C3×#525C2214yescomplemented
141C3×#525C2218yescomplemented
142C3×#525C2218yescomplemented
143C3×#525C2214yescomplemented
144C2×C3×#123C2218yescomplemented
145C2×C3×C22⋊Q8C2214yescomplemented
146C2×C3×#121C2214yescomplemented
147C2×C3×#121C2218yescomplemented
148C2×C3×#121C2214yescomplemented
149C2×C3×#121C2214yescomplemented
150C2×C3×#120C2214yescomplemented
151C2×C3×#120C2218yescomplemented
152C2×C3×#120C2214yescomplemented
153C3×#520C2214yescomplemented
154C3×#518C2212yescomplemented
155C3×#518C2214yescomplemented
156C3×#518C2214yescomplemented
157C3×C4×#41C2211yescharacteristic, complemented
158C3×C4×#41C2212yescomplemented
159C2×C3×C4×D4C2212yescomplemented
160C2×C3×C4×D4C2214yescomplemented
161C2×C3×C4×D4C2214yescomplemented
162C2×C3×C4×D4C2212yescomplemented
163C22×C3×C22⋊C4C2214yescomplemented
164#3558C2×C314yescomplemented
165#3546C2×C312yescomplemented
166#3543C2×C311yescharacteristic, complemented
167#3542C2×C314yescomplemented
168#3536C2×C314yescomplemented
169#3534C2×C318yescomplemented
170#3532C2×C314yescomplemented
171#3520C2×C312yescomplemented
172#3519C2×C314yescomplemented
173#3514C2×C312yescomplemented
174#3513C2×C314yescomplemented
175#3508C2×C311yescharacteristic, complemented
176#3496C2×C312yescomplemented
177#3490C2×C314yescomplemented
178#3488C2×C314yescomplemented
179#3484C2×C314yescomplemented
180#3481C2×C312yescomplemented
181D4×#41C2×C312yescomplemented
182C2×#546C2×C314yescomplemented
183C2×D42C2×C311yescharacteristic, complemented
184C25×C3C2314yes—
185C3×H(5,𝔽2)—416no—
186C2×C3×#41—416no—
187C2×C3×#41C2312yes—
188C2×C3×#41C2314yes—
189C2×C3×#41C2311yescharacteristic
190C2×C3×#41C2318yescomplemented
191C2×C3×#41C2314yescomplemented
192C2×C3×#41C2318yescomplemented
193C2×C3×#41C2314yescomplemented
194C2×C3×#41C2314yescomplemented
195C2×C3×#41C2314yescomplemented
196C2×C3×#41C2318yescomplemented
197C2×C3×#41C2314yescomplemented
198C22×C3×Q8C2314yescomplemented
199C22×C3×D4—416no—
200C22×C3×D4C2312yes—
201C22×C3×D4C2314yes—
202C22×C3×D4C2314yes—
203C22×C3×D4C2312yes—
204C22×C3×D4C2318yes—
205C22×C3×D4C2318yes—
206C22×C3×D4C2314yes—
207C22×C3×D4C2314yes—
208C22×C3×D4C2318yes—
209C22×C3×D4C2314yes—
210C22×C3×D4C2314yes—
211C22×C3×D4C2312yes—
212C22×C3×D4C2314yes—
213C22×C3×D4C2318yescomplemented
214C22×C3×D4C2318yescomplemented
215C22×C3×D4C2318yescomplemented
216C22×C3×D4C2318yescomplemented
217C22×C3×D4C2314yescomplemented
218C23×C3×C4C2314yes—
219C23×C3×C4C2318yescomplemented
220C23×C3×C4C2314yescomplemented
221C3×C4⋊Q8C2312yescomplemented
222C3×C4⋊Q8C2312yescomplemented
223C3×C4⋊Q8C2314yescomplemented
224C3×#127C2311yescharacteristic
225C3×#127C2314yes—
226C3×#127C2312yes—
227C3×#127C2312yes—
228C3×#127C2311yescharacteristic
229C3×#127C2314yescomplemented
230C3×#127C2318yescomplemented
231C3×#127C2314yescomplemented
232C3×#126C2314yescomplemented
233C3×#126C2318yescomplemented
234C3×#126C2318yescomplemented
235C3×#126C2318yescomplemented
236C3×#126C2318yescomplemented
237C3×#126C2314yescomplemented
238C3×#126C2314yescomplemented
239C3×#126C2314yescomplemented
240C3×#125C2314yescomplemented
241C3×#125C2318yescomplemented
242C3×#125C2312yescomplemented
243C3×#125C2312yescomplemented
244C3×#125C2312yescomplemented
245C3×#124C2312yes—
246C3×#124C2314yes—
247C3×#124C2314yescomplemented
248C3×#124C2314yescomplemented
249C3×#124C2314yescomplemented
250C3×#124C2314yescomplemented
251C3×#124C2312yescomplemented
252C3×#124C2314yescomplemented
253C3×#124C2318yescomplemented
254C3×#124C2318yescomplemented
255C3×#124C2318yescomplemented
256C3×#124C2318yescomplemented
257C3×#124C2318yescomplemented
258C3×#124C2318yescomplemented
259C3×#124C2314yescomplemented
260C3×#123C2314yes—
261C3×#123C2318yes—
262C3×#123C2314yes—
263C3×#123C2314yescomplemented
264C3×#123C2314yescomplemented
265C3×#123C2318yescomplemented
266C3×#123C2318yescomplemented
267C3×#123C2314yescomplemented
268C3×#123C2314yescomplemented
269C3×#123C2318yescomplemented
270C3×#123C2318yescomplemented
271C3×#123C2318yescomplemented
272C3×#123C2318yescomplemented
273C3×#123C2314yescomplemented
274C3×#123C2314yescomplemented
275C3×#123C2318yescomplemented
276C3×#123C2318yescomplemented
277C3×#123C2318yescomplemented
278C3×#123C2318yescomplemented
279C3×#123C2318yescomplemented
280C3×#123C2314yescomplemented
281C3×#123C2318yescomplemented
282C3×#123C2318yescomplemented
283C3×#123C2318yescomplemented
284C3×#123C2314yescomplemented
285C3×C22⋊Q8C2312yes—
286C3×C22⋊Q8C2314yes—
287C3×C22⋊Q8C2318yes—
288C3×C22⋊Q8C2314yes—
289C3×C22⋊Q8C2318yescomplemented
290C3×C22⋊Q8C2314yescomplemented
291C3×C22⋊Q8C2318yescomplemented
292C3×C22⋊Q8C2318yescomplemented
293C3×C22⋊Q8C2318yescomplemented
294C3×C22⋊Q8C2318yescomplemented
295C3×C22⋊Q8C2314yescomplemented
296C3×C22⋊Q8C2314yescomplemented
297C3×C22⋊Q8C2314yescomplemented
298C3×C22⋊Q8C2314yescomplemented
299C3×C22⋊Q8C2318yescomplemented
300C3×C22⋊Q8C2314yescomplemented
301C3×C22⋊Q8C2318yescomplemented
302C3×C22⋊Q8C2314yescomplemented
303C3×C22⋊Q8C2312yescomplemented
304C3×C22⋊Q8C2314yescomplemented
305C3×#121C2318yes—
306C3×#121C2314yes—
307C3×#121C2314yes—
308C3×#121C2312yes—
309C3×#121C2314yes—
310C3×#121C2318yes—
311C3×#121C2314yes—
312C3×#121C2318yes—
313C3×#121C2314yes—
314C3×#121C2314yes—
315C3×#121C2312yes—
316C3×#121C2314yes—
317C3×#121C2314yes—
318C3×#121C2312yes—
319C3×#121C2318yescomplemented
320C3×#121C2314yescomplemented
321C3×#121C2314yescomplemented
322C3×#121C2314yescomplemented
323C3×#121C2318yescomplemented
324C3×#121C2318yescomplemented
325C3×#121C2318yescomplemented
326C3×#121C2318yescomplemented
327C3×#121C2318yescomplemented
328C3×#121C2318yescomplemented
329C3×#121C2318yescomplemented
330C3×#121C2318yescomplemented
331C3×#121C2318yescomplemented
332C3×#121C2318yescomplemented
333C3×#121C2318yescomplemented
334C3×#121C2314yescomplemented
335C3×#121C2312yescomplemented
336C3×#121C2314yescomplemented
337C3×#121C2318yescomplemented
338C3×#121C2318yescomplemented
339C3×#121C2314yescomplemented
340C3×#121C2318yescomplemented
341C3×#121C2318yescomplemented
342C3×#121C2318yescomplemented
343C3×#121C2318yescomplemented
344C3×#121C2318yescomplemented
345C3×#121C2314yescomplemented
346C3×#121C2314yescomplemented
347C3×#121C2314yescomplemented
348C3×#121C2318yescomplemented
349C3×#121C2314yescomplemented
350C3×#120C2314yes—
351C3×#120C2314yes—
352C3×#120C2314yes—
353C3×#120C2318yes—
354C3×#120C2314yes—
355C3×#120C2314yes—
356C3×#120C2314yes—
357C3×#120C2318yes—
358C3×#120C2318yes—
359C3×#120C2318yes—
360C3×#120C2318yes—
361C3×#120C2314yes—
362C3×#120C2318yescomplemented
363C3×#120C2318yescomplemented
364C3×#120C2314yescomplemented
365C3×#120C2318yescomplemented
366C3×#120C2318yescomplemented
367C3×#120C2314yescomplemented
368C3×#120C2318yescomplemented
369C3×#120C2318yescomplemented
370C3×#120C2318yescomplemented
371C3×#120C2318yescomplemented
372C3×#120C2318yescomplemented
373C3×#120C2314yescomplemented
374C3×C4×Q8C2312yescomplemented
375C3×C4×Q8C2312yescomplemented
376C3×C4×Q8C2312yescomplemented
377C3×C4×Q8C2314yescomplemented
378C3×C4×Q8C2314yescomplemented
379C3×C4×D4C2312yes—
380C3×C4×D4C2312yes—
381C3×C4×D4C2312yes—
382C3×C4×D4C2312yes—
383C3×C4×D4C2314yes—
384C3×C4×D4C2314yes—
385C3×C4×D4C2312yes—
386C3×C4×D4C2314yes—
387C3×C4×D4C2314yes—
388C3×C4×D4C2312yes—
389C3×C4×D4C2314yes—
390C3×C4×D4C2314yes—
391C3×C4×D4C2312yes—
392C3×C4×D4C2312yes—
393C3×C4×D4C2318yes—
394C3×C4×D4C2314yescomplemented
395C3×C4×D4C2312yescomplemented
396C3×C4×D4C2314yescomplemented
397C3×C4×D4C2318yescomplemented
398C3×C4×D4C2314yescomplemented
399C3×C4×D4C2314yescomplemented
400C3×C4×D4C2314yescomplemented
401C3×C4×D4C2318yescomplemented
402C3×C4×D4C2314yescomplemented
403C3×C4×D4C2314yescomplemented
404C3×C4×D4C2312yescomplemented
405C3×C4×D4C2314yescomplemented
406C3×C4×D4C2318yescomplemented
407C3×C4×D4C2314yescomplemented
408C3×C4×D4C2314yescomplemented
409C3×C4×D4C2314yescomplemented
410C3×C4×D4C2312yescomplemented
411C3×C4×D4C2314yescomplemented
412C3×C4×D4C2314yescomplemented
413C3×C4×D4C2318yescomplemented
414C3×C4×D4C2318yescomplemented
415C3×C4×D4C2318yescomplemented
416C3×C4×D4C2318yescomplemented
417C3×C4×D4C2314yescomplemented
418C3×C4×D4C2318yescomplemented
419C3×C4×D4C2318yescomplemented
420C3×#117C2311yescharacteristic
421C3×#117C2312yes—
422C3×#117C2314yescomplemented
423C3×#117C2312yescomplemented
424C3×#117C2312yescomplemented
425C3×#117C2314yescomplemented
426C3×#117C2314yescomplemented
427C3×#117C2318yescomplemented
428C3×#117C2314yescomplemented
429C3×#117C2318yescomplemented
430C2×C3×C4⋊C4C2312yes—
431C2×C3×C4⋊C4C2314yescomplemented
432C2×C3×C4⋊C4C2314yescomplemented
433C2×C3×C4⋊C4C2312yescomplemented
434C2×C3×C4⋊C4C2318yescomplemented
435C2×C3×C4⋊C4C2314yescomplemented
436C2×C3×C22⋊C4C2314yes—
437C2×C3×C22⋊C4C2314yes—
438C2×C3×C22⋊C4C2318yes—
439C2×C3×C22⋊C4C2314yes—
440C2×C3×C22⋊C4C2314yes—
441C2×C3×C22⋊C4C2314yes—
442C2×C3×C22⋊C4C2314yes—
443C2×C3×C22⋊C4C2318yescomplemented
444C2×C3×C22⋊C4C2318yescomplemented
445C2×C3×C22⋊C4C2318yescomplemented
446C2×C3×C22⋊C4C2318yescomplemented
447C2×C3×C22⋊C4C2314yescomplemented
448C2×C3×C22⋊C4C2314yescomplemented
449C2×C3×C22⋊C4C2318yescomplemented
450C2×C3×C22⋊C4C2318yescomplemented
451C2×C3×C22⋊C4C2318yescomplemented
452C2×C3×C42C2311yescharacteristic
453C2×C3×C42C2314yescomplemented
454C2×C3×C42C2312yescomplemented
455C2×H(5,𝔽2)C22×C314yescomplemented
456C22×#41C22×C314yescomplemented
457C23×D4C22×C314yescomplemented
458#562C22×C318yescomplemented
459#562C22×C318yescomplemented
460H(3,𝔽4)C22×C314yescomplemented
461#560C22×C318yescomplemented
462#560C22×C314yescomplemented
463#560C22×C314yescomplemented
464#559C22×C312yescomplemented
465#559C22×C314yescomplemented
466#559C22×C311yescharacteristic, complemented
467#556C22×C312yescomplemented
468#555C22×C314yescomplemented
469#554C22×C312yescomplemented
470#554C22×C314yescomplemented
471#554C22×C312yescomplemented
472#553C22×C312yescomplemented
473#553C22×C314yescomplemented
474#553C22×C312yescomplemented
475#553C22×C318yescomplemented
476#553C22×C314yescomplemented
477#552C22×C314yescomplemented
478#551C22×C314yescomplemented
479#551C22×C318yescomplemented
480#551C22×C314yescomplemented
481#551C22×C318yescomplemented
482#551C22×C318yescomplemented
483#551C22×C314yescomplemented
484#550C22×C314yescomplemented
485#550C22×C312yescomplemented
486#550C22×C314yescomplemented
487D4×Q8C22×C312yescomplemented
488#548C22×C314yescomplemented
489#548C22×C314yescomplemented
490#548C22×C314yescomplemented
491#547C22×C312yescomplemented
492#547C22×C312yescomplemented
493#547C22×C314yescomplemented
494#547C22×C314yescomplemented
495#546C22×C312yescomplemented
496#546C22×C314yescomplemented
497#546C22×C318yescomplemented
498#546C22×C314yescomplemented
499#546C22×C318yescomplemented
500#546C22×C314yescomplemented
501#546C22×C318yescomplemented
502#546C22×C314yescomplemented
503#546C22×C314yescomplemented
504#546C22×C314yescomplemented
505#546C22×C314yescomplemented
506#546C22×C314yescomplemented
507#546C22×C312yescomplemented
508#546C22×C318yescomplemented
509#546C22×C318yescomplemented
510#546C22×C318yescomplemented
511#546C22×C318yescomplemented
512#546C22×C318yescomplemented
513#546C22×C318yescomplemented
514#546C22×C314yescomplemented
515#546C22×C314yescomplemented
516#546C22×C314yescomplemented
517#546C22×C318yescomplemented
518#546C22×C314yescomplemented
519D42C22×C311yescharacteristic, complemented
520D42C22×C314yescomplemented
521D42C22×C312yescomplemented
522D42C22×C314yescomplemented
523D42C22×C314yescomplemented
524D42C22×C311yescharacteristic, complemented
525D42C22×C312yescomplemented
526D42C22×C318yescomplemented
527D42C22×C314yescomplemented
528D42C22×C314yescomplemented
529D42C22×C318yescomplemented
530D42C22×C314yescomplemented
531D42C22×C314yescomplemented
532D42C22×C311yescharacteristic, complemented
533#543C22×C314yescomplemented
534#542C22×C314yescomplemented
535#542C22×C314yescomplemented
536#542C22×C314yescomplemented
537#540C22×C318yescomplemented
538#540C22×C314yescomplemented
539#540C22×C314yescomplemented
540#539C22×C318yescomplemented
541#539C22×C318yescomplemented
542#538C22×C318yescomplemented
543#538C22×C318yescomplemented
544#538C22×C318yescomplemented
545#538C22×C318yescomplemented
546#538C22×C318yescomplemented
547#538C22×C318yescomplemented
548#537C22×C318yescomplemented
549#537C22×C314yescomplemented
550#537C22×C314yescomplemented
551#535C22×C312yescomplemented
552#535C22×C318yescomplemented
553#535C22×C314yescomplemented
554#535C22×C314yescomplemented
555#535C22×C314yescomplemented
556#534C22×C314yescomplemented
557#534C22×C318yescomplemented
558#534C22×C318yescomplemented
559#534C22×C318yescomplemented
560#533C22×C311yescharacteristic, complemented
561#532C22×C312yescomplemented
562#532C22×C314yescomplemented
563#532C22×C312yescomplemented
564#532C22×C312yescomplemented
565C2×#127C22×C311yescharacteristic, complemented
566#529C22×C312yescomplemented
567#529C22×C314yescomplemented
568#529C22×C312yescomplemented
569#529C22×C314yescomplemented
570C2×#124C22×C314yescomplemented
571#525C22×C314yescomplemented
572#525C22×C314yescomplemented
573#525C22×C314yescomplemented
574#525C22×C318yescomplemented
575#525C22×C318yescomplemented
576#525C22×C314yescomplemented
577C2×#123C22×C318yescomplemented
578C2×C22⋊Q8C22×C314yescomplemented
579C2×#121C22×C314yescomplemented
580C2×#121C22×C318yescomplemented
581C2×#121C22×C314yescomplemented
582C2×#121C22×C314yescomplemented
583C2×#120C22×C314yescomplemented
584C2×#120C22×C318yescomplemented
585C2×#120C22×C314yescomplemented
586#520C22×C314yescomplemented
587#518C22×C312yescomplemented
588#518C22×C314yescomplemented
589#518C22×C314yescomplemented
590C4×#41C22×C311yescharacteristic, complemented
591C4×#41C22×C312yescomplemented
592C2×C4×D4C22×C312yescomplemented
593C2×C4×D4C22×C314yescomplemented
594C2×C4×D4C22×C314yescomplemented
595C2×C4×D4C22×C312yescomplemented
596C22×C22⋊C4C22×C314yescomplemented
597C24×C3—48no—
598C24×C3—416no—
599C24×C3C2414yes—
600C24×C3C2414yes—
601C24×C3C2414yes—
602C24×C3C2418yes—
603C24×C3C2414yes—
604C24×C3C2414yes—
605C24×C3C2414yes—
606C3×#41—28no—
607C3×#41—216no—
608C3×#41—48no—
609C3×#41—416no—
610C3×#41—416no—
611C3×#41—42no—
612C3×#41—416no—
613C3×#41—48no—
614C3×#41—48no—
615C3×#41—48no—
616C3×#41—48no—
617C2×C3×Q8—48no—
618C2×C3×Q8C2412yes—
619C2×C3×Q8C2414yes—
620C2×C3×Q8C2411yescharacteristic
621C2×C3×Q8C2414yes—
622C2×C3×Q8C2418yes—
623C2×C3×D4—28no—
624C2×C3×D4—216no—
625C2×C3×D4—216no—
626C2×C3×D4—28no—
627C2×C3×D4—48no—
628C2×C3×D4—48no—
629C2×C3×D4—48no—
630C2×C3×D4—48no—
631C2×C3×D4—44no—
632C2×C3×D4—416no—
633C2×C3×D4—416no—
634C2×C3×D4—416no—
635C2×C3×D4—416no—
636C2×C3×D4—48no—
637C2×C3×D4—48no—
638C2×C3×D4—416no—
639C2×C3×D4—416no—
640C2×C3×D4—416no—
641C2×C3×D4C2412yes—
642C2×C3×D4C2414yes—
643C2×C3×D4C2414yes—
644C2×C3×D4C2412yes—
645C2×C3×D4C2418yes—
646C2×C3×D4C2418yes—
647C2×C3×D4C2414yes—
648C2×C3×D4C2414yes—
649C2×C3×D4C2418yes—
650C2×C3×D4C2414yes—
651C2×C3×D4C2414yes—
652C2×C3×D4C2412yes—
653C2×C3×D4C2412yes—
654C2×C3×D4C2414yes—
655C2×C3×D4C2412yes—
656C2×C3×D4C2414yes—
657C2×C3×D4C2414yes—
658C2×C3×D4C2418yes—
659C2×C3×D4C2411yescharacteristic
660C2×C3×D4C2414yes—
661C2×C3×D4C2418yes—
662C2×C3×D4C2418yes—
663C2×C3×D4C2418yes—
664C2×C3×D4C2418yes—
665C2×C3×D4C2414yes—
666C2×C3×D4C2418yes—
667C2×C3×D4C2418yes—
668C2×C3×D4C2418yes—
669C2×C3×D4C2418yes—
670C2×C3×D4C2414yes—
671C2×C3×D4C2412yes—
672C22×C3×C4—48no—
673C22×C3×C4—48no—
674C22×C3×C4—416no—
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2412yes—
677C22×C3×C4C2414yes—
678C22×C3×C4C2414yes—
679C22×C3×C4C2412yes—
680C22×C3×C4C2412yes—
681C22×C3×C4C2418yes—
682C22×C3×C4C2414yes—
683C22×C3×C4C2414yes—
684C22×C3×C4C2414yes—
685C22×C3×C4C2412yes—
686C22×C3×C4C2414yes—
687C22×C3×C4C2414yes—
688C22×C3×C4C2418yes—
689C22×C3×C4C2418yes—
690C22×C3×C4C2418yes—
691C22×C3×C4C2418yes—
692C22×C3×C4C2414yes—
693C22×C3×C4C2414yes—
694C22×C3×C4C2414yes—
695C22×C3×C4C2418yes—
696C22×C3×C4C2414yes—
697C22×C3×C4C2414yes—
698C3×C4⋊C4C2412yes—
699C3×C4⋊C4C2412yes—
700C3×C4⋊C4C2414yes—
701C3×C4⋊C4C2412yes—
702C3×C4⋊C4C2414yes—
703C3×C4⋊C4C2412yes—
704C3×C4⋊C4C2414yes—
705C3×C4⋊C4C2418yes—
706C3×C4⋊C4C2414yes—
707C3×C4⋊C4C2414yes—
708C3×C4⋊C4C2414yes—
709C3×C4⋊C4C2418yes—
710C3×C4⋊C4C2414yes—
711C3×C4⋊C4C2418yes—
712C3×C4⋊C4C2418yes—
713C3×C4⋊C4C2412yes—
714C3×C4⋊C4C2414yes—
715C3×C4⋊C4C2412yes—
716C3×C4⋊C4C2414yes—
717C3×C4⋊C4C2418yes—
718C3×C4⋊C4C2412yes—
719C3×C4⋊C4C2414yes—
720C3×C4⋊C4C2414yes—
721C3×C4⋊C4C2414yes—
722C3×C4⋊C4C2414yes—
723C3×C22⋊C4C2411yescharacteristic
724C3×C22⋊C4C2414yes—
725C3×C22⋊C4C2414yes—
726C3×C22⋊C4C2411yescharacteristic
727C3×C22⋊C4C2414yes—
728C3×C22⋊C4C2414yes—
729C3×C22⋊C4C2418yes—
730C3×C22⋊C4C2418yes—
731C3×C22⋊C4C2418yes—
732C3×C22⋊C4C2414yes—
733C3×C22⋊C4C2414yes—
734C3×C22⋊C4C2414yes—
735C3×C22⋊C4C2418yes—
736C3×C22⋊C4C2414yes—
737C3×C22⋊C4C2414yes—
738C3×C22⋊C4C2414yes—
739C3×C22⋊C4C2414yes—
740C3×C22⋊C4C2414yes—
741C3×C22⋊C4C2418yes—
742C3×C22⋊C4C2414yes—
743C3×C22⋊C4C2414yes—
744C3×C22⋊C4C2414yes—
745C3×C22⋊C4C2418yes—
746C3×C22⋊C4C2412yes—
747C3×C22⋊C4C2414yes—
748C3×C22⋊C4C2418yes—
749C3×C22⋊C4C2414yes—
750C3×C22⋊C4C2414yes—
751C3×C22⋊C4C2418yes—
752C3×C22⋊C4C2414yes—
753C3×C22⋊C4C2418yes—
754C3×C22⋊C4C2418yes—
755C3×C22⋊C4C2418yes—
756C3×C22⋊C4C2418yes—
757C3×C22⋊C4C2414yes—
758C3×C22⋊C4C2414yes—
759C3×C22⋊C4C2412yes—
760C3×C22⋊C4C2414yes—
761C3×C22⋊C4C2414yes—
762C3×C22⋊C4C2414yes—
763C3×C42C2411yescharacteristic
764C3×C42C2412yes—
765C3×C42C2411yescharacteristic
766C3×C42C2412yes—
767C3×C42C2412yes—
768C3×C42C2414yes—
769C3×C42C2414yes—
770C3×C42C2412yes—
771C3×C42C2414yes—
772C3×C42C2414yes—
773C3×C42C2418yes—
774C25C23×C314yes—
775H(5,𝔽2)—416no—
776C2×#41—416no—
777C2×#41C23×C312yes—
778C2×#41C23×C314yes—
779C2×#41C23×C311yescharacteristic
780C2×#41C23×C314yescomplemented
781C2×#41C23×C318yescomplemented
782C2×#41C23×C314yescomplemented
783C2×#41C23×C314yescomplemented
784C2×#41C23×C318yescomplemented
785C2×#41C23×C314yescomplemented
786C2×#41C23×C318yescomplemented
787C2×#41C23×C314yescomplemented
788C22×Q8C23×C314yescomplemented
789C22×D4—416no—
790C22×D4C23×C314yes—
791C22×D4C23×C312yes—
792C22×D4C23×C312yes—
793C22×D4C23×C314yes—
794C22×D4C23×C314yes—
795C22×D4C23×C312yes—
796C22×D4C23×C314yes—
797C22×D4C23×C318yes—
798C22×D4C23×C318yes—
799C22×D4C23×C314yes—
800C22×D4C23×C314yes—
801C22×D4C23×C318yes—
802C22×D4C23×C314yes—
803C22×D4C23×C318yescomplemented
804C22×D4C23×C318yescomplemented
805C22×D4C23×C318yescomplemented
806C22×D4C23×C318yescomplemented
807C22×D4C23×C314yescomplemented
808C23×C4C23×C314yes—
809C23×C4C23×C318yescomplemented
810C23×C4C23×C314yescomplemented
811C4⋊Q8C23×C312yescomplemented
812C4⋊Q8C23×C312yescomplemented
813C4⋊Q8C23×C314yescomplemented
814#127C23×C311yescharacteristic
815#127C23×C311yescharacteristic
816#127C23×C314yes—
817#127C23×C312yes—
818#127C23×C312yes—
819#127C23×C314yescomplemented
820#127C23×C314yescomplemented
821#127C23×C318yescomplemented
822#126C23×C318yescomplemented
823#126C23×C314yescomplemented
824#126C23×C314yescomplemented
825#126C23×C314yescomplemented
826#126C23×C314yescomplemented
827#126C23×C318yescomplemented
828#126C23×C318yescomplemented
829#126C23×C318yescomplemented
830#125C23×C312yescomplemented
831#125C23×C314yescomplemented
832#125C23×C312yescomplemented
833#125C23×C312yescomplemented
834#125C23×C318yescomplemented
835#124C23×C312yes—
836#124C23×C314yes—
837#124C23×C314yescomplemented
838#124C23×C314yescomplemented
839#124C23×C318yescomplemented
840#124C23×C318yescomplemented
841#124C23×C312yescomplemented
842#124C23×C314yescomplemented
843#124C23×C314yescomplemented
844#124C23×C314yescomplemented
845#124C23×C318yescomplemented
846#124C23×C318yescomplemented
847#124C23×C314yescomplemented
848#124C23×C318yescomplemented
849#124C23×C318yescomplemented
850#123C23×C314yes—
851#123C23×C318yes—
852#123C23×C314yes—
853#123C23×C318yescomplemented
854#123C23×C318yescomplemented
855#123C23×C318yescomplemented
856#123C23×C318yescomplemented
857#123C23×C318yescomplemented
858#123C23×C318yescomplemented
859#123C23×C314yescomplemented
860#123C23×C318yescomplemented
861#123C23×C314yescomplemented
862#123C23×C314yescomplemented
863#123C23×C318yescomplemented
864#123C23×C318yescomplemented
865#123C23×C314yescomplemented
866#123C23×C318yescomplemented
867#123C23×C314yescomplemented
868#123C23×C314yescomplemented
869#123C23×C318yescomplemented
870#123C23×C314yescomplemented
871#123C23×C318yescomplemented
872#123C23×C318yescomplemented
873#123C23×C318yescomplemented
874#123C23×C314yescomplemented
875C22⋊Q8C23×C312yes—
876C22⋊Q8C23×C314yes—
877C22⋊Q8C23×C318yes—
878C22⋊Q8C23×C314yes—
879C22⋊Q8C23×C314yescomplemented
880C22⋊Q8C23×C314yescomplemented
881C22⋊Q8C23×C318yescomplemented
882C22⋊Q8C23×C314yescomplemented
883C22⋊Q8C23×C314yescomplemented
884C22⋊Q8C23×C318yescomplemented
885C22⋊Q8C23×C314yescomplemented
886C22⋊Q8C23×C314yescomplemented
887C22⋊Q8C23×C318yescomplemented
888C22⋊Q8C23×C318yescomplemented
889C22⋊Q8C23×C314yescomplemented
890C22⋊Q8C23×C312yescomplemented
891C22⋊Q8C23×C314yescomplemented
892C22⋊Q8C23×C318yescomplemented
893C22⋊Q8C23×C318yescomplemented
894C22⋊Q8C23×C318yescomplemented
895#121C23×C314yes—
896#121C23×C314yes—
897#121C23×C312yes—
898#121C23×C314yes—
899#121C23×C318yes—
900#121C23×C314yes—
901#121C23×C318yes—
902#121C23×C314yes—
903#121C23×C314yes—
904#121C23×C318yes—
905#121C23×C312yes—
906#121C23×C314yes—
907#121C23×C314yes—
908#121C23×C312yes—
909#121C23×C318yescomplemented
910#121C23×C314yescomplemented
911#121C23×C312yescomplemented
912#121C23×C314yescomplemented
913#121C23×C318yescomplemented
914#121C23×C318yescomplemented
915#121C23×C318yescomplemented
916#121C23×C318yescomplemented
917#121C23×C318yescomplemented
918#121C23×C314yescomplemented
919#121C23×C318yescomplemented
920#121C23×C318yescomplemented
921#121C23×C318yescomplemented
922#121C23×C318yescomplemented
923#121C23×C318yescomplemented
924#121C23×C318yescomplemented
925#121C23×C314yescomplemented
926#121C23×C314yescomplemented
927#121C23×C314yescomplemented
928#121C23×C314yescomplemented
929#121C23×C314yescomplemented
930#121C23×C318yescomplemented
931#121C23×C314yescomplemented
932#121C23×C314yescomplemented
933#121C23×C318yescomplemented
934#121C23×C318yescomplemented
935#121C23×C318yescomplemented
936#121C23×C318yescomplemented
937#121C23×C318yescomplemented
938#121C23×C318yescomplemented
939#121C23×C318yescomplemented
940#120C23×C314yes—
941#120C23×C318yes—
942#120C23×C314yes—
943#120C23×C314yes—
944#120C23×C314yes—
945#120C23×C318yes—
946#120C23×C318yes—
947#120C23×C318yes—
948#120C23×C318yes—
949#120C23×C314yes—
950#120C23×C314yes—
951#120C23×C314yes—
952#120C23×C318yescomplemented
953#120C23×C318yescomplemented
954#120C23×C318yescomplemented
955#120C23×C318yescomplemented
956#120C23×C318yescomplemented
957#120C23×C318yescomplemented
958#120C23×C318yescomplemented
959#120C23×C314yescomplemented
960#120C23×C314yescomplemented
961#120C23×C318yescomplemented
962#120C23×C314yescomplemented
963#120C23×C318yescomplemented
964C4×Q8C23×C312yescomplemented
965C4×Q8C23×C312yescomplemented
966C4×Q8C23×C312yescomplemented
967C4×Q8C23×C314yescomplemented
968C4×Q8C23×C314yescomplemented
969C4×D4C23×C312yes—
970C4×D4C23×C312yes—
971C4×D4C23×C312yes—
972C4×D4C23×C314yes—
973C4×D4C23×C314yes—
974C4×D4C23×C312yes—
975C4×D4C23×C314yes—
976C4×D4C23×C314yes—
977C4×D4C23×C312yes—
978C4×D4C23×C314yes—
979C4×D4C23×C314yes—
980C4×D4C23×C312yes—
981C4×D4C23×C312yes—
982C4×D4C23×C312yes—
983C4×D4C23×C318yes—
984C4×D4C23×C314yescomplemented
985C4×D4C23×C318yescomplemented
986C4×D4C23×C314yescomplemented
987C4×D4C23×C314yescomplemented
988C4×D4C23×C312yescomplemented
989C4×D4C23×C314yescomplemented
990C4×D4C23×C314yescomplemented
991C4×D4C23×C312yescomplemented
992C4×D4C23×C314yescomplemented
993C4×D4C23×C318yescomplemented
994C4×D4C23×C314yescomplemented
995C4×D4C23×C314yescomplemented
996C4×D4C23×C314yescomplemented
997C4×D4C23×C312yescomplemented
998C4×D4C23×C314yescomplemented
999C4×D4C23×C314yescomplemented
1000C4×D4C23×C318yescomplemented
1001C4×D4C23×C318yescomplemented
1002C4×D4C23×C318yescomplemented
1003C4×D4C23×C318yescomplemented
1004C4×D4C23×C318yescomplemented
1005C4×D4C23×C314yescomplemented
1006C4×D4C23×C314yescomplemented
1007C4×D4C23×C314yescomplemented
1008C4×D4C23×C318yescomplemented
1009C4×D4C23×C318yescomplemented
1010#117C23×C311yescharacteristic
1011#117C23×C312yes—
1012#117C23×C314yescomplemented
1013#117C23×C312yescomplemented
1014#117C23×C312yescomplemented
1015#117C23×C314yescomplemented
1016#117C23×C314yescomplemented
1017#117C23×C318yescomplemented
1018#117C23×C314yescomplemented
1019#117C23×C318yescomplemented
1020C2×C4⋊C4C23×C312yes—
1021C2×C4⋊C4C23×C314yescomplemented
1022C2×C4⋊C4C23×C314yescomplemented
1023C2×C4⋊C4C23×C312yescomplemented
1024C2×C4⋊C4C23×C318yescomplemented
1025C2×C4⋊C4C23×C314yescomplemented
1026C2×C22⋊C4C23×C314yes—
1027C2×C22⋊C4C23×C314yes—
1028C2×C22⋊C4C23×C318yes—
1029C2×C22⋊C4C23×C314yes—
1030C2×C22⋊C4C23×C314yes—
1031C2×C22⋊C4C23×C314yes—
1032C2×C22⋊C4C23×C314yes—
1033C2×C22⋊C4C23×C318yescomplemented
1034C2×C22⋊C4C23×C318yescomplemented
1035C2×C22⋊C4C23×C318yescomplemented
1036C2×C22⋊C4C23×C318yescomplemented
1037C2×C22⋊C4C23×C314yescomplemented
1038C2×C22⋊C4C23×C314yescomplemented
1039C2×C22⋊C4C23×C318yescomplemented
1040C2×C22⋊C4C23×C318yescomplemented
1041C2×C22⋊C4C23×C318yescomplemented
1042C2×C42C23×C311yescharacteristic
1043C2×C42C23×C314yescomplemented
1044C2×C42C23×C312yescomplemented
1045C23×C3—216no—
1046C23×C3—28no—
1047C23×C3—28no—
1048C23×C3—28no—
1049C23×C3—216no—
1050C23×C3—28no—
1051C23×C3—44no—
1052C23×C3—44no—
1053C23×C3—44no—
1054C23×C3—48no—
1055C23×C3—48no—
1056C23×C3—48no—
1057C23×C3—44no—
1058C23×C3—48no—
1059C23×C3—44no—
1060C23×C3—48no—
1061C23×C3—44no—
1062C23×C3—832no—
1063C23×C3C2514yes—
1064C23×C3C2514yes—
1065C23×C3C2514yes—
1066C23×C3C2514yes—
1067C23×C3C2512yes—
1068C23×C3C2514yes—
1069C23×C3C2511yescharacteristic
1070C3×Q8—24no—
1071C3×Q8—28no—
1072C3×Q8—48no—
1073C3×Q8—41no—
1074C3×Q8—44no—
1075C3×D4—28no—
1076C3×D4—216no—
1077C3×D4—216no—
1078C3×D4—28no—
1079C3×D4—216no—
1080C3×D4—28no—
1081C3×D4—28no—
1082C3×D4—24no—
1083C3×D4—24no—
1084C3×D4—28no—
1085C3×D4—28no—
1086C3×D4—24no—
1087C3×D4—48no—
1088C3×D4—48no—
1089C3×D4—48no—
1090C3×D4—44no—
1091C3×D4—48no—
1092C3×D4—44no—
1093C3×D4—44no—
1094C3×D4—48no—
1095C3×D4—48no—
1096C3×D4—42no—
1097C3×D4—42no—
1098C3×D4—44no—
1099C3×D4—44no—
1100C3×D4—48no—
1101C3×D4—44no—
1102C3×D4—48no—
1103C3×D4—48no—
1104C3×D4—41no—
1105C3×D4H(5,𝔽2)18yescomplemented
1106C2×C3×C4—28no—
1107C2×C3×C4—216no—
1108C2×C3×C4—22no—
1109C2×C3×C4—24no—
1110C2×C3×C4—28no—
1111C2×C3×C4—24no—
1112C2×C3×C4—28no—
1113C2×C3×C4—28no—
1114C2×C3×C4—24no—
1115C2×C3×C4—44no—
1116C2×C3×C4—44no—
1117C2×C3×C4—44no—
1118C2×C3×C4—44no—
1119C2×C3×C4—48no—
1120C2×C3×C4—44no—
1121C2×C3×C4—48no—
1122C2×C3×C4—44no—
1123C2×C3×C4—48no—
1124C2×C3×C4—44no—
1125C2×C3×C4—44no—
1126C2×C3×C4—48no—
1127C2×C3×C4—48no—
1128C2×C3×C4—42no—
1129C2×C3×C4C2511yescharacteristic
1130C2×C3×C4C2512yes—
1131C2×C3×C4C2511yescharacteristic
1132C2×C3×C4C2514yes—
1133C2×C3×C4C2512yes—
1134C2×C3×C4C2514yes—
1135C2×C3×C4C2512yes—
1136C2×C3×C4C2514yes—
1137C2×C3×C4C2518yes—
1138C2×C3×C4C2514yes—
1139C2×C3×C4C2512yes—
1140C2×C3×C4C2514yes—
1141C2×C3×C4C2512yes—
1142C24—416no—
1143C24—48no—
1144C24C24×C314yes—
1145C24C24×C314yes—
1146C24C24×C314yes—
1147C24C24×C318yes—
1148C24C24×C314yes—
1149C24C24×C314yes—
1150C24C24×C314yes—
1151#41—28no—
1152#41—216no—
1153#41—48no—
1154#41—416no—
1155#41—416no—
1156#41—42no—
1157#41—416no—
1158#41—48no—
1159#41—48no—
1160#41—48no—
1161#41—48no—
1162C2×Q8—48no—
1163C2×Q8C24×C312yes—
1164C2×Q8C24×C314yes—
1165C2×Q8C24×C311yescharacteristic
1166C2×Q8C24×C314yes—
1167C2×Q8C24×C318yes—
1168C2×D4—28no—
1169C2×D4—216no—
1170C2×D4—216no—
1171C2×D4—28no—
1172C2×D4—48no—
1173C2×D4—48no—
1174C2×D4—48no—
1175C2×D4—48no—
1176C2×D4—44no—
1177C2×D4—416no—
1178C2×D4—416no—
1179C2×D4—416no—
1180C2×D4—416no—
1181C2×D4—48no—
1182C2×D4—48no—
1183C2×D4—416no—
1184C2×D4—416no—
1185C2×D4—416no—
1186C2×D4C24×C312yes—
1187C2×D4C24×C314yes—
1188C2×D4C24×C314yes—
1189C2×D4C24×C312yes—
1190C2×D4C24×C318yes—
1191C2×D4C24×C318yes—
1192C2×D4C24×C314yes—
1193C2×D4C24×C314yes—
1194C2×D4C24×C318yes—
1195C2×D4C24×C314yes—
1196C2×D4C24×C314yes—
1197C2×D4C24×C312yes—
1198C2×D4C24×C312yes—
1199C2×D4C24×C314yes—
1200C2×D4C24×C312yes—
1201C2×D4C24×C314yes—
1202C2×D4C24×C314yes—
1203C2×D4C24×C318yes—
1204C2×D4C24×C311yescharacteristic
1205C2×D4C24×C314yes—
1206C2×D4C24×C318yes—
1207C2×D4C24×C318yes—
1208C2×D4C24×C318yes—
1209C2×D4C24×C318yes—
1210C2×D4C24×C314yes—
1211C2×D4C24×C318yes—
1212C2×D4C24×C318yes—
1213C2×D4C24×C318yes—
1214C2×D4C24×C318yes—
1215C2×D4C24×C314yes—
1216C2×D4C24×C312yes—
1217C22×C4—48no—
1218C22×C4—48no—
1219C22×C4—416no—
1220C22×C4C24×C311yescharacteristic
1221C22×C4C24×C312yes—
1222C22×C4C24×C314yes—
1223C22×C4C24×C314yes—
1224C22×C4C24×C312yes—
1225C22×C4C24×C312yes—
1226C22×C4C24×C318yes—
1227C22×C4C24×C314yes—
1228C22×C4C24×C314yes—
1229C22×C4C24×C314yes—
1230C22×C4C24×C312yes—
1231C22×C4C24×C314yes—
1232C22×C4C24×C314yes—
1233C22×C4C24×C318yes—
1234C22×C4C24×C318yes—
1235C22×C4C24×C318yes—
1236C22×C4C24×C318yes—
1237C22×C4C24×C314yes—
1238C22×C4C24×C314yes—
1239C22×C4C24×C314yes—
1240C22×C4C24×C318yes—
1241C22×C4C24×C314yes—
1242C22×C4C24×C314yes—
1243C4⋊C4C24×C312yes—
1244C4⋊C4C24×C312yes—
1245C4⋊C4C24×C314yes—
1246C4⋊C4C24×C312yes—
1247C4⋊C4C24×C314yes—
1248C4⋊C4C24×C312yes—
1249C4⋊C4C24×C314yes—
1250C4⋊C4C24×C318yes—
1251C4⋊C4C24×C314yes—
1252C4⋊C4C24×C314yes—
1253C4⋊C4C24×C314yes—
1254C4⋊C4C24×C318yes—
1255C4⋊C4C24×C314yes—
1256C4⋊C4C24×C318yes—
1257C4⋊C4C24×C318yes—
1258C4⋊C4C24×C312yes—
1259C4⋊C4C24×C314yes—
1260C4⋊C4C24×C312yes—
1261C4⋊C4C24×C314yes—
1262C4⋊C4C24×C318yes—
1263C4⋊C4C24×C312yes—
1264C4⋊C4C24×C314yes—
1265C4⋊C4C24×C314yes—
1266C4⋊C4C24×C314yes—
1267C4⋊C4C24×C314yes—
1268C22⋊C4C24×C311yescharacteristic
1269C22⋊C4C24×C314yes—
1270C22⋊C4C24×C314yes—
1271C22⋊C4C24×C311yescharacteristic
1272C22⋊C4C24×C314yes—
1273C22⋊C4C24×C314yes—
1274C22⋊C4C24×C318yes—
1275C22⋊C4C24×C318yes—
1276C22⋊C4C24×C318yes—
1277C22⋊C4C24×C314yes—
1278C22⋊C4C24×C314yes—
1279C22⋊C4C24×C314yes—
1280C22⋊C4C24×C318yes—
1281C22⋊C4C24×C314yes—
1282C22⋊C4C24×C314yes—
1283C22⋊C4C24×C314yes—
1284C22⋊C4C24×C314yes—
1285C22⋊C4C24×C314yes—
1286C22⋊C4C24×C318yes—
1287C22⋊C4C24×C314yes—
1288C22⋊C4C24×C314yes—
1289C22⋊C4C24×C314yes—
1290C22⋊C4C24×C318yes—
1291C22⋊C4C24×C312yes—
1292C22⋊C4C24×C314yes—
1293C22⋊C4C24×C318yes—
1294C22⋊C4C24×C314yes—
1295C22⋊C4C24×C314yes—
1296C22⋊C4C24×C318yes—
1297C22⋊C4C24×C314yes—
1298C22⋊C4C24×C318yes—
1299C22⋊C4C24×C318yes—
1300C22⋊C4C24×C318yes—
1301C22⋊C4C24×C318yes—
1302C22⋊C4C24×C314yes—
1303C22⋊C4C24×C314yes—
1304C22⋊C4C24×C312yes—
1305C22⋊C4C24×C314yes—
1306C22⋊C4C24×C314yes—
1307C22⋊C4C24×C314yes—
1308C42C24×C311yescharacteristic
1309C42C24×C312yes—
1310C42C24×C311yescharacteristic
1311C42C24×C312yes—
1312C42C24×C312yes—
1313C42C24×C314yes—
1314C42C24×C314yes—
1315C42C24×C312yes—
1316C42C24×C314yes—
1317C42C24×C314yes—
1318C42C24×C318yes—
1319C22×C3—24no—
1320C22×C3—22no—
1321C22×C3—24no—
1322C22×C3—22no—
1323C22×C3—24no—
1324C22×C3—24no—
1325C22×C3—22no—
1326C22×C3—28no—
1327C22×C3—24no—
1328C22×C3—28no—
1329C22×C3—24no—
1330C22×C3—22no—
1331C22×C3—24no—
1332C22×C3—24no—
1333C22×C3—24no—
1334C22×C3—24no—
1335C22×C3—416no—
1336C22×C3—416no—
1337C22×C3—88no—
1338C22×C3—88no—
1339C22×C3—816no—
1340C22×C3—88no—
1341C22×C3—164no—
1342C22×C3C2×H(5,𝔽2)18yes—
1343C22×C3#58512yes—
1344C22×C3C2611yescharacteristic
1345C3×C4—22no—
1346C3×C4—24no—
1347C3×C4—22no—
1348C3×C4—24no—
1349C3×C4—24no—
1350C3×C4—22no—
1351C3×C4—28no—
1352C3×C4—24no—
1353C3×C4—21no—
1354C3×C4—21no—
1355C3×C4—24no—
1356C3×C4—22no—
1357C3×C4C2×H(5,𝔽2)14yes—
1358C23—216no—
1359C23—28no—
1360C23—28no—
1361C23—28no—
1362C23—216no—
1363C23—28no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—48no—
1368C23—48no—
1369C23—48no—
1370C23—44no—
1371C23—48no—
1372C23—44no—
1373C23—48no—
1374C23—44no—
1375C23—832no—
1376C23C25×C314yes—
1377C23C25×C314yes—
1378C23C25×C314yes—
1379C23C25×C314yes—
1380C23C25×C312yes—
1381C23C25×C314yes—
1382C23C25×C311yescharacteristic
1383Q8—24no—
1384Q8—28no—
1385Q8—48no—
1386Q8—44no—
1387Q8—41no—
1388D4—28no—
1389D4—216no—
1390D4—216no—
1391D4—28no—
1392D4—216no—
1393D4—28no—
1394D4—28no—
1395D4—24no—
1396D4—24no—
1397D4—28no—
1398D4—28no—
1399D4—24no—
1400D4—48no—
1401D4—48no—
1402D4—48no—
1403D4—44no—
1404D4—48no—
1405D4—44no—
1406D4—44no—
1407D4—48no—
1408D4—48no—
1409D4—48no—
1410D4—48no—
1411D4—42no—
1412D4—42no—
1413D4—44no—
1414D4—44no—
1415D4—48no—
1416D4—44no—
1417D4—41no—
1418D4C3×H(5,𝔽2)18yescomplemented
1419C2×C4—28no—
1420C2×C4—216no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—28no—
1424C2×C4—24no—
1425C2×C4—28no—
1426C2×C4—28no—
1427C2×C4—24no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—48no—
1433C2×C4—44no—
1434C2×C4—48no—
1435C2×C4—44no—
1436C2×C4—48no—
1437C2×C4—48no—
1438C2×C4—48no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—42no—
1442C2×C4C25×C311yescharacteristic
1443C2×C4C25×C312yes—
1444C2×C4C25×C311yescharacteristic
1445C2×C4C25×C314yes—
1446C2×C4C25×C312yes—
1447C2×C4C25×C314yes—
1448C2×C4C25×C312yes—
1449C2×C4C25×C314yes—
1450C2×C4C25×C318yes—
1451C2×C4C25×C314yes—
1452C2×C4C25×C312yes—
1453C2×C4C25×C314yes—
1454C2×C4C25×C312yes—
1455C2×C3—22no—
1456C2×C3—28no—
1457C2×C3—44no—
1458C2×C3—44no—
1459C2×C3—42no—
1460C2×C3—44no—
1461C2×C3—44no—
1462C2×C3C22×H(5,𝔽2)12yes—
1463C2×C3C2×#58511yescharacteristic
1464C22—24no—
1465C22—22no—
1466C22—24no—
1467C22—22no—
1468C22—24no—
1469C22—24no—
1470C22—22no—
1471C22—28no—
1472C22—24no—
1473C22—28no—
1474C22—24no—
1475C22—22no—
1476C22—24no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—416no—
1481C22—416no—
1482C22—88no—
1483C22—816no—
1484C22—88no—
1485C22—88no—
1486C22—164no—
1487C22C2×C3×H(5,𝔽2)18yes—
1488C22C3×#58512yes—
1489C22C26×C311yescharacteristic
1490C4—22no—
1491C4—24no—
1492C4—22no—
1493C4—24no—
1494C4—24no—
1495C4—22no—
1496C4—28no—
1497C4—24no—
1498C4—21no—
1499C4—21no—
1500C4—24no—
1501C4—22no—
1502C4C2×C3×H(5,𝔽2)14yes—
1503C3#6301211yescharacteristic, direct product factor, Sylow
1504C2—22no—
1505C2—28no—
1506C2—44no—
1507C2—44no—
1508C2—44no—
1509C2—42no—
1510C2—44no—
1511C2C22×C3×H(5,𝔽2)12yes—
1512C2C2×C3×#58511yescharacteristic
subgroupG/H
center, socleC22×C3C26
commutator, Frattini, cosocleC22C26×C3
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#3558C2semidirect
2. C3×#3546C2semidirect
3. C3×#3543C2semidirect
4. C3×#3542C2semidirect
5. C3×#3536C2semidirect
6. C3×#3534C2semidirect
7. C3×#3532C2semidirect
8. C3×#3520C2semidirect
9. C3×#3519C2semidirect
10. C3×#3514C2semidirect
11. C3×#3513C2semidirect
12. C3×#3508C2semidirect
13. C3×#3496C2semidirect
14. C3×#3490C2semidirect
15. C3×#3488C2semidirect
16. C3×#3484C2semidirect
17. C3×#3481C2semidirect
18. C3×D4×#41C2semidirect
19. C2×C3×#546C2semidirect
20. C2×C3×D42C2semidirect
21. #63012C3direct (N × H)
22. C2×C3×H(5,𝔽2)C22semidirect
23. C22×C3×#41C22semidirect
24. C23×C3×D4C22semidirect
25. C3×#562C22semidirect
26. C3×#562C22semidirect
27. C3×H(3,𝔽4)C22semidirect
28. C3×#560C22semidirect
29. C3×#560C22semidirect
30. C3×#560C22semidirect
31. C3×#559C22semidirect
32. C3×#559C22semidirect
33. C3×#559C22semidirect
34. C3×#556C22semidirect
35. C3×#555C22semidirect
36. C3×#554C22semidirect
37. C3×#554C22semidirect
38. C3×#554C22semidirect
39. C3×#553C22semidirect
40. C3×#553C22semidirect
41. C3×#553C22semidirect
42. C3×#553C22semidirect
43. C3×#553C22semidirect
44. C3×#552C22semidirect
45. C3×#551C22semidirect
46. C3×#551C22semidirect
47. C3×#551C22semidirect
48. C3×#551C22semidirect
49. C3×#551C22semidirect
50. C3×#551C22semidirect
51. C3×#550C22semidirect
52. C3×#550C22semidirect
53. C3×#550C22semidirect
54. C3×D4×Q8C22semidirect
55. C3×#548C22semidirect
56. C3×#548C22semidirect
57. C3×#548C22semidirect
58. C3×#547C22semidirect
59. C3×#547C22semidirect
60. C3×#547C22semidirect
61. C3×#547C22semidirect
62. C3×#546C22semidirect
63. C3×#546C22semidirect
64. C3×#546C22semidirect
65. C3×#546C22semidirect
66. C3×#546C22semidirect
67. C3×#546C22semidirect
68. C3×#546C22semidirect
69. C3×#546C22semidirect
70. C3×#546C22semidirect
71. C3×#546C22semidirect
72. C3×#546C22semidirect
73. C3×#546C22semidirect
74. C3×#546C22semidirect
75. C3×#546C22semidirect
76. C3×#546C22semidirect
77. C3×#546C22semidirect
78. C3×#546C22semidirect
79. C3×#546C22semidirect
80. C3×#546C22semidirect
81. C3×#546C22semidirect
82. C3×#546C22semidirect
83. C3×#546C22semidirect
84. C3×#546C22semidirect
85. C3×#546C22semidirect
86. C3×D42C22semidirect
87. C3×D42C22semidirect
88. C3×D42C22semidirect
89. C3×D42C22semidirect
90. C3×D42C22semidirect
91. C3×D42C22semidirect
92. C3×D42C22semidirect
93. C3×D42C22semidirect
94. C3×D42C22semidirect
95. C3×D42C22semidirect
96. C3×D42C22semidirect
97. C3×D42C22semidirect
98. C3×D42C22semidirect
99. C3×D42C22semidirect
100. C3×#543C22semidirect
101. C3×#542C22semidirect
102. C3×#542C22semidirect
103. C3×#542C22semidirect
104. C3×#540C22semidirect
105. C3×#540C22semidirect
106. C3×#540C22semidirect
107. C3×#539C22semidirect
108. C3×#539C22semidirect
109. C3×#538C22semidirect
110. C3×#538C22semidirect
111. C3×#538C22semidirect
112. C3×#538C22semidirect
113. C3×#538C22semidirect
114. C3×#538C22semidirect
115. C3×#537C22semidirect
116. C3×#537C22semidirect
117. C3×#537C22semidirect
118. C3×#535C22semidirect
119. C3×#535C22semidirect
120. C3×#535C22semidirect
121. C3×#535C22semidirect
122. C3×#535C22semidirect
123. C3×#534C22semidirect
124. C3×#534C22semidirect
125. C3×#534C22semidirect
126. C3×#534C22semidirect
127. C3×#533C22semidirect
128. C3×#532C22semidirect
129. C3×#532C22semidirect
130. C3×#532C22semidirect
131. C3×#532C22semidirect
132. C2×C3×#127C22semidirect
133. C3×#529C22semidirect
134. C3×#529C22semidirect
135. C3×#529C22semidirect
136. C3×#529C22semidirect
137. C2×C3×#124C22semidirect
138. C3×#525C22semidirect
139. C3×#525C22semidirect
140. C3×#525C22semidirect
141. C3×#525C22semidirect
142. C3×#525C22semidirect
143. C3×#525C22semidirect
144. C2×C3×#123C22semidirect
145. C2×C3×C22⋊Q8C22semidirect
146. C2×C3×#121C22semidirect
147. C2×C3×#121C22semidirect
148. C2×C3×#121C22semidirect
149. C2×C3×#121C22semidirect
150. C2×C3×#120C22semidirect
151. C2×C3×#120C22semidirect
152. C2×C3×#120C22semidirect
153. C3×#520C22semidirect
154. C3×#518C22semidirect
155. C3×#518C22semidirect
156. C3×#518C22semidirect
157. C3×C4×#41C22semidirect
158. C3×C4×#41C22semidirect
159. C2×C3×C4×D4C22semidirect
160. C2×C3×C4×D4C22semidirect
161. C2×C3×C4×D4C22semidirect
162. C2×C3×C4×D4C22semidirect
163. C22×C3×C22⋊C4C22semidirect
164. #3558C2×C3semidirect
165. #3546C2×C3semidirect
166. #3543C2×C3semidirect
167. #3542C2×C3semidirect
168. #3536C2×C3semidirect
169. #3534C2×C3semidirect
170. #3532C2×C3semidirect
171. #3520C2×C3semidirect
172. #3519C2×C3semidirect
173. #3514C2×C3semidirect
174. #3513C2×C3semidirect
175. #3508C2×C3semidirect
176. #3496C2×C3semidirect
177. #3490C2×C3semidirect
178. #3488C2×C3semidirect
179. #3484C2×C3semidirect
180. #3481C2×C3semidirect
181. D4×#41C2×C3semidirect
182. C2×#546C2×C3semidirect
183. C2×D42C2×C3semidirect
190. C2×C3×#41C23semidirect
191. C2×C3×#41C23semidirect
192. C2×C3×#41C23semidirect
193. C2×C3×#41C23semidirect
194. C2×C3×#41C23semidirect
195. C2×C3×#41C23semidirect
196. C2×C3×#41C23semidirect
197. C2×C3×#41C23semidirect
198. C22×C3×Q8C23semidirect
213. C22×C3×D4C23semidirect
214. C22×C3×D4C23semidirect
215. C22×C3×D4C23semidirect
216. C22×C3×D4C23semidirect
217. C22×C3×D4C23semidirect
219. C23×C3×C4C23semidirect
220. C23×C3×C4C23semidirect
221. C3×C4⋊Q8C23semidirect
222. C3×C4⋊Q8C23semidirect
223. C3×C4⋊Q8C23semidirect
229. C3×#127C23semidirect
230. C3×#127C23semidirect
231. C3×#127C23semidirect
232. C3×#126C23semidirect
233. C3×#126C23semidirect
234. C3×#126C23semidirect
235. C3×#126C23semidirect
236. C3×#126C23semidirect
237. C3×#126C23semidirect
238. C3×#126C23semidirect
239. C3×#126C23semidirect
240. C3×#125C23semidirect
241. C3×#125C23semidirect
242. C3×#125C23semidirect
243. C3×#125C23semidirect
244. C3×#125C23semidirect
247. C3×#124C23semidirect
248. C3×#124C23semidirect
249. C3×#124C23semidirect
250. C3×#124C23semidirect
251. C3×#124C23semidirect
252. C3×#124C23semidirect
253. C3×#124C23semidirect
254. C3×#124C23semidirect
255. C3×#124C23semidirect
256. C3×#124C23semidirect
257. C3×#124C23semidirect
258. C3×#124C23semidirect
259. C3×#124C23semidirect
263. C3×#123C23semidirect
264. C3×#123C23semidirect
265. C3×#123C23semidirect
266. C3×#123C23semidirect
267. C3×#123C23semidirect
268. C3×#123C23semidirect
269. C3×#123C23semidirect
270. C3×#123C23semidirect
271. C3×#123C23semidirect
272. C3×#123C23semidirect
273. C3×#123C23semidirect
274. C3×#123C23semidirect
275. C3×#123C23semidirect
276. C3×#123C23semidirect
277. C3×#123C23semidirect
278. C3×#123C23semidirect
279. C3×#123C23semidirect
280. C3×#123C23semidirect
281. C3×#123C23semidirect
282. C3×#123C23semidirect
283. C3×#123C23semidirect
284. C3×#123C23semidirect
289. C3×C22⋊Q8C23semidirect
290. C3×C22⋊Q8C23semidirect
291. C3×C22⋊Q8C23semidirect
292. C3×C22⋊Q8C23semidirect
293. C3×C22⋊Q8C23semidirect
294. C3×C22⋊Q8C23semidirect
295. C3×C22⋊Q8C23semidirect
296. C3×C22⋊Q8C23semidirect
297. C3×C22⋊Q8C23semidirect
298. C3×C22⋊Q8C23semidirect
299. C3×C22⋊Q8C23semidirect
300. C3×C22⋊Q8C23semidirect
301. C3×C22⋊Q8C23semidirect
302. C3×C22⋊Q8C23semidirect
303. C3×C22⋊Q8C23semidirect
304. C3×C22⋊Q8C23semidirect
319. C3×#121C23semidirect
320. C3×#121C23semidirect
321. C3×#121C23semidirect
322. C3×#121C23semidirect
323. C3×#121C23semidirect
324. C3×#121C23semidirect
325. C3×#121C23semidirect
326. C3×#121C23semidirect
327. C3×#121C23semidirect
328. C3×#121C23semidirect
329. C3×#121C23semidirect
330. C3×#121C23semidirect
331. C3×#121C23semidirect
332. C3×#121C23semidirect
333. C3×#121C23semidirect
334. C3×#121C23semidirect
335. C3×#121C23semidirect
336. C3×#121C23semidirect
337. C3×#121C23semidirect
338. C3×#121C23semidirect
339. C3×#121C23semidirect
340. C3×#121C23semidirect
341. C3×#121C23semidirect
342. C3×#121C23semidirect
343. C3×#121C23semidirect
344. C3×#121C23semidirect
345. C3×#121C23semidirect
346. C3×#121C23semidirect
347. C3×#121C23semidirect
348. C3×#121C23semidirect
349. C3×#121C23semidirect
362. C3×#120C23semidirect
363. C3×#120C23semidirect
364. C3×#120C23semidirect
365. C3×#120C23semidirect
366. C3×#120C23semidirect
367. C3×#120C23semidirect
368. C3×#120C23semidirect
369. C3×#120C23semidirect
370. C3×#120C23semidirect
371. C3×#120C23semidirect
372. C3×#120C23semidirect
373. C3×#120C23semidirect
374. C3×C4×Q8C23semidirect
375. C3×C4×Q8C23semidirect
376. C3×C4×Q8C23semidirect
377. C3×C4×Q8C23semidirect
378. C3×C4×Q8C23semidirect
394. C3×C4×D4C23semidirect
395. C3×C4×D4C23semidirect
396. C3×C4×D4C23semidirect
397. C3×C4×D4C23semidirect
398. C3×C4×D4C23semidirect
399. C3×C4×D4C23semidirect
400. C3×C4×D4C23semidirect
401. C3×C4×D4C23semidirect
402. C3×C4×D4C23semidirect
403. C3×C4×D4C23semidirect
404. C3×C4×D4C23semidirect
405. C3×C4×D4C23semidirect
406. C3×C4×D4C23semidirect
407. C3×C4×D4C23semidirect
408. C3×C4×D4C23semidirect
409. C3×C4×D4C23semidirect
410. C3×C4×D4C23semidirect
411. C3×C4×D4C23semidirect
412. C3×C4×D4C23semidirect
413. C3×C4×D4C23semidirect
414. C3×C4×D4C23semidirect
415. C3×C4×D4C23semidirect
416. C3×C4×D4C23semidirect
417. C3×C4×D4C23semidirect
418. C3×C4×D4C23semidirect
419. C3×C4×D4C23semidirect
422. C3×#117C23semidirect
423. C3×#117C23semidirect
424. C3×#117C23semidirect
425. C3×#117C23semidirect
426. C3×#117C23semidirect
427. C3×#117C23semidirect
428. C3×#117C23semidirect
429. C3×#117C23semidirect
431. C2×C3×C4⋊C4C23semidirect
432. C2×C3×C4⋊C4C23semidirect
433. C2×C3×C4⋊C4C23semidirect
434. C2×C3×C4⋊C4C23semidirect
435. C2×C3×C4⋊C4C23semidirect
443. C2×C3×C22⋊C4C23semidirect
444. C2×C3×C22⋊C4C23semidirect
445. C2×C3×C22⋊C4C23semidirect
446. C2×C3×C22⋊C4C23semidirect
447. C2×C3×C22⋊C4C23semidirect
448. C2×C3×C22⋊C4C23semidirect
449. C2×C3×C22⋊C4C23semidirect
450. C2×C3×C22⋊C4C23semidirect
451. C2×C3×C22⋊C4C23semidirect
453. C2×C3×C42C23semidirect
454. C2×C3×C42C23semidirect
455. C2×H(5,𝔽2)C22×C3semidirect
456. C22×#41C22×C3semidirect
457. C23×D4C22×C3semidirect
458. #562C22×C3semidirect
459. #562C22×C3semidirect
460. H(3,𝔽4)C22×C3semidirect
461. #560C22×C3semidirect
462. #560C22×C3semidirect
463. #560C22×C3semidirect
464. #559C22×C3semidirect
465. #559C22×C3semidirect
466. #559C22×C3semidirect
467. #556C22×C3semidirect
468. #555C22×C3semidirect
469. #554C22×C3semidirect
470. #554C22×C3semidirect
471. #554C22×C3semidirect
472. #553C22×C3semidirect
473. #553C22×C3semidirect
474. #553C22×C3semidirect
475. #553C22×C3semidirect
476. #553C22×C3semidirect
477. #552C22×C3semidirect
478. #551C22×C3semidirect
479. #551C22×C3semidirect
480. #551C22×C3semidirect
481. #551C22×C3semidirect
482. #551C22×C3semidirect
483. #551C22×C3semidirect
484. #550C22×C3semidirect
485. #550C22×C3semidirect
486. #550C22×C3semidirect
487. D4×Q8C22×C3semidirect
488. #548C22×C3semidirect
489. #548C22×C3semidirect
490. #548C22×C3semidirect
491. #547C22×C3semidirect
492. #547C22×C3semidirect
493. #547C22×C3semidirect
494. #547C22×C3semidirect
495. #546C22×C3semidirect
496. #546C22×C3semidirect
497. #546C22×C3semidirect
498. #546C22×C3semidirect
499. #546C22×C3semidirect
500. #546C22×C3semidirect
501. #546C22×C3semidirect
502. #546C22×C3semidirect
503. #546C22×C3semidirect
504. #546C22×C3semidirect
505. #546C22×C3semidirect
506. #546C22×C3semidirect
507. #546C22×C3semidirect
508. #546C22×C3semidirect
509. #546C22×C3semidirect
510. #546C22×C3semidirect
511. #546C22×C3semidirect
512. #546C22×C3semidirect
513. #546C22×C3semidirect
514. #546C22×C3semidirect
515. #546C22×C3semidirect
516. #546C22×C3semidirect
517. #546C22×C3semidirect
518. #546C22×C3semidirect
519. D42C22×C3semidirect
520. D42C22×C3semidirect
521. D42C22×C3semidirect
522. D42C22×C3semidirect
523. D42C22×C3semidirect
524. D42C22×C3semidirect
525. D42C22×C3semidirect
526. D42C22×C3semidirect
527. D42C22×C3semidirect
528. D42C22×C3semidirect
529. D42C22×C3semidirect
530. D42C22×C3semidirect
531. D42C22×C3semidirect
532. D42C22×C3semidirect
533. #543C22×C3semidirect
534. #542C22×C3semidirect
535. #542C22×C3semidirect
536. #542C22×C3semidirect
537. #540C22×C3semidirect
538. #540C22×C3semidirect
539. #540C22×C3semidirect
540. #539C22×C3semidirect
541. #539C22×C3semidirect
542. #538C22×C3semidirect
543. #538C22×C3semidirect
544. #538C22×C3semidirect
545. #538C22×C3semidirect
546. #538C22×C3semidirect
547. #538C22×C3semidirect
548. #537C22×C3semidirect
549. #537C22×C3semidirect
550. #537C22×C3semidirect
551. #535C22×C3semidirect
552. #535C22×C3semidirect
553. #535C22×C3semidirect
554. #535C22×C3semidirect
555. #535C22×C3semidirect
556. #534C22×C3semidirect
557. #534C22×C3semidirect
558. #534C22×C3semidirect
559. #534C22×C3semidirect
560. #533C22×C3semidirect
561. #532C22×C3semidirect
562. #532C22×C3semidirect
563. #532C22×C3semidirect
564. #532C22×C3semidirect
565. C2×#127C22×C3semidirect
566. #529C22×C3semidirect
567. #529C22×C3semidirect
568. #529C22×C3semidirect
569. #529C22×C3semidirect
570. C2×#124C22×C3semidirect
571. #525C22×C3semidirect
572. #525C22×C3semidirect
573. #525C22×C3semidirect
574. #525C22×C3semidirect
575. #525C22×C3semidirect
576. #525C22×C3semidirect
577. C2×#123C22×C3semidirect
578. C2×C22⋊Q8C22×C3semidirect
579. C2×#121C22×C3semidirect
580. C2×#121C22×C3semidirect
581. C2×#121C22×C3semidirect
582. C2×#121C22×C3semidirect
583. C2×#120C22×C3semidirect
584. C2×#120C22×C3semidirect
585. C2×#120C22×C3semidirect
586. #520C22×C3semidirect
587. #518C22×C3semidirect
588. #518C22×C3semidirect
589. #518C22×C3semidirect
590. C4×#41C22×C3semidirect
591. C4×#41C22×C3semidirect
592. C2×C4×D4C22×C3semidirect
593. C2×C4×D4C22×C3semidirect
594. C2×C4×D4C22×C3semidirect
595. C2×C4×D4C22×C3semidirect
596. C22×C22⋊C4C22×C3semidirect
780. C2×#41C23×C3semidirect
781. C2×#41C23×C3semidirect
782. C2×#41C23×C3semidirect
783. C2×#41C23×C3semidirect
784. C2×#41C23×C3semidirect
785. C2×#41C23×C3semidirect
786. C2×#41C23×C3semidirect
787. C2×#41C23×C3semidirect
788. C22×Q8C23×C3semidirect
803. C22×D4C23×C3semidirect
804. C22×D4C23×C3semidirect
805. C22×D4C23×C3semidirect
806. C22×D4C23×C3semidirect
807. C22×D4C23×C3semidirect
809. C23×C4C23×C3semidirect
810. C23×C4C23×C3semidirect
811. C4⋊Q8C23×C3semidirect
812. C4⋊Q8C23×C3semidirect
813. C4⋊Q8C23×C3semidirect
819. #127C23×C3semidirect
820. #127C23×C3semidirect
821. #127C23×C3semidirect
822. #126C23×C3semidirect
823. #126C23×C3semidirect
824. #126C23×C3semidirect
825. #126C23×C3semidirect
826. #126C23×C3semidirect
827. #126C23×C3semidirect
828. #126C23×C3semidirect
829. #126C23×C3semidirect
830. #125C23×C3semidirect
831. #125C23×C3semidirect
832. #125C23×C3semidirect
833. #125C23×C3semidirect
834. #125C23×C3semidirect
837. #124C23×C3semidirect
838. #124C23×C3semidirect
839. #124C23×C3semidirect
840. #124C23×C3semidirect
841. #124C23×C3semidirect
842. #124C23×C3semidirect
843. #124C23×C3semidirect
844. #124C23×C3semidirect
845. #124C23×C3semidirect
846. #124C23×C3semidirect
847. #124C23×C3semidirect
848. #124C23×C3semidirect
849. #124C23×C3semidirect
853. #123C23×C3semidirect
854. #123C23×C3semidirect
855. #123C23×C3semidirect
856. #123C23×C3semidirect
857. #123C23×C3semidirect
858. #123C23×C3semidirect
859. #123C23×C3semidirect
860. #123C23×C3semidirect
861. #123C23×C3semidirect
862. #123C23×C3semidirect
863. #123C23×C3semidirect
864. #123C23×C3semidirect
865. #123C23×C3semidirect
866. #123C23×C3semidirect
867. #123C23×C3semidirect
868. #123C23×C3semidirect
869. #123C23×C3semidirect
870. #123C23×C3semidirect
871. #123C23×C3semidirect
872. #123C23×C3semidirect
873. #123C23×C3semidirect
874. #123C23×C3semidirect
879. C22⋊Q8C23×C3semidirect
880. C22⋊Q8C23×C3semidirect
881. C22⋊Q8C23×C3semidirect
882. C22⋊Q8C23×C3semidirect
883. C22⋊Q8C23×C3semidirect
884. C22⋊Q8C23×C3semidirect
885. C22⋊Q8C23×C3semidirect
886. C22⋊Q8C23×C3semidirect
887. C22⋊Q8C23×C3semidirect
888. C22⋊Q8C23×C3semidirect
889. C22⋊Q8C23×C3semidirect
890. C22⋊Q8C23×C3semidirect
891. C22⋊Q8C23×C3semidirect
892. C22⋊Q8C23×C3semidirect
893. C22⋊Q8C23×C3semidirect
894. C22⋊Q8C23×C3semidirect
909. #121C23×C3semidirect
910. #121C23×C3semidirect
911. #121C23×C3semidirect
912. #121C23×C3semidirect
913. #121C23×C3semidirect
914. #121C23×C3semidirect
915. #121C23×C3semidirect
916. #121C23×C3semidirect
917. #121C23×C3semidirect
918. #121C23×C3semidirect
919. #121C23×C3semidirect
920. #121C23×C3semidirect
921. #121C23×C3semidirect
922. #121C23×C3semidirect
923. #121C23×C3semidirect
924. #121C23×C3semidirect
925. #121C23×C3semidirect
926. #121C23×C3semidirect
927. #121C23×C3semidirect
928. #121C23×C3semidirect
929. #121C23×C3semidirect
930. #121C23×C3semidirect
931. #121C23×C3semidirect
932. #121C23×C3semidirect
933. #121C23×C3semidirect
934. #121C23×C3semidirect
935. #121C23×C3semidirect
936. #121C23×C3semidirect
937. #121C23×C3semidirect
938. #121C23×C3semidirect
939. #121C23×C3semidirect
952. #120C23×C3semidirect
953. #120C23×C3semidirect
954. #120C23×C3semidirect
955. #120C23×C3semidirect
956. #120C23×C3semidirect
957. #120C23×C3semidirect
958. #120C23×C3semidirect
959. #120C23×C3semidirect
960. #120C23×C3semidirect
961. #120C23×C3semidirect
962. #120C23×C3semidirect
963. #120C23×C3semidirect
964. C4×Q8C23×C3semidirect
965. C4×Q8C23×C3semidirect
966. C4×Q8C23×C3semidirect
967. C4×Q8C23×C3semidirect
968. C4×Q8C23×C3semidirect
984. C4×D4C23×C3semidirect
985. C4×D4C23×C3semidirect
986. C4×D4C23×C3semidirect
987. C4×D4C23×C3semidirect
988. C4×D4C23×C3semidirect
989. C4×D4C23×C3semidirect
990. C4×D4C23×C3semidirect
991. C4×D4C23×C3semidirect
992. C4×D4C23×C3semidirect
993. C4×D4C23×C3semidirect
994. C4×D4C23×C3semidirect
995. C4×D4C23×C3semidirect
996. C4×D4C23×C3semidirect
997. C4×D4C23×C3semidirect
998. C4×D4C23×C3semidirect
999. C4×D4C23×C3semidirect
1000. C4×D4C23×C3semidirect
1001. C4×D4C23×C3semidirect
1002. C4×D4C23×C3semidirect
1003. C4×D4C23×C3semidirect
1004. C4×D4C23×C3semidirect
1005. C4×D4C23×C3semidirect
1006. C4×D4C23×C3semidirect
1007. C4×D4C23×C3semidirect
1008. C4×D4C23×C3semidirect
1009. C4×D4C23×C3semidirect
1012. #117C23×C3semidirect
1013. #117C23×C3semidirect
1014. #117C23×C3semidirect
1015. #117C23×C3semidirect
1016. #117C23×C3semidirect
1017. #117C23×C3semidirect
1018. #117C23×C3semidirect
1019. #117C23×C3semidirect
1021. C2×C4⋊C4C23×C3semidirect
1022. C2×C4⋊C4C23×C3semidirect
1023. C2×C4⋊C4C23×C3semidirect
1024. C2×C4⋊C4C23×C3semidirect
1025. C2×C4⋊C4C23×C3semidirect
1033. C2×C22⋊C4C23×C3semidirect
1034. C2×C22⋊C4C23×C3semidirect
1035. C2×C22⋊C4C23×C3semidirect
1036. C2×C22⋊C4C23×C3semidirect
1037. C2×C22⋊C4C23×C3semidirect
1038. C2×C22⋊C4C23×C3semidirect
1039. C2×C22⋊C4C23×C3semidirect
1040. C2×C22⋊C4C23×C3semidirect
1041. C2×C22⋊C4C23×C3semidirect
1043. C2×C42C23×C3semidirect
1044. C2×C42C23×C3semidirect
1105. C3×D4H(5,𝔽2)semidirect
1418. D4C3×H(5,𝔽2)semidirect
1503. C3#63012direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#35582
C3×#35462
C3×#35432
C3×#35422
C3×#35362
C3×#35342
C3×#35322
C3×#35202
C3×#35192
C3×#35142
C3×#35132
C3×#35082
C3×#34962
C3×#34902
C3×#34882
C3×#34842
C3×#34812
C3×D4×#412
C2×C3×#5462
C2×C3×D422
#630123