Finite Group Databasebeta

← C79×#63055 #34174744

Subgroups — C79×#63055 #34174744

Order 20224.

6730 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3567C212yesmaximal, complemented
2C79×#3566C214yesmaximal, complemented
3C79×#3566C214yesmaximal, complemented
4C79×#3562C214yesmaximal, complemented
5C79×#3558C212yesmaximal, complemented
6C79×#3558C212yesmaximal, complemented
7C79×#3553C211yesmaximal, characteristic, complemented
8C79×#3545C212yesmaximal, complemented
9C79×#3542C214yesmaximal, complemented
10C79×#3541C214yesmaximal, complemented
11C79×#3537C214yesmaximal, complemented
12C79×#3534C214yesmaximal, complemented
13C79×#3534C214yesmaximal, complemented
14C79×#3533C214yesmaximal, complemented
15C79×#3529C212yesmaximal, complemented
16C2×#562×C79C211yesmaximal, characteristic, complemented
17C79×#3519C214yesmaximal, complemented
18C79×#3514C212yesmaximal, complemented
19C79×#3513C214yesmaximal, complemented
20C79×#3512C211yesmaximal, characteristic, complemented
21C79×#3505C214yesmaximal, complemented
22#564×C79C2211yescharacteristic, complemented
23#563×C79C2214yescomplemented
24#563×C79C2214yescomplemented
25#563×C79C2212yescomplemented
26#562×C79C2214yescomplemented
27#562×C79C2214yescomplemented
28#562×C79C2214yescomplemented
29#562×C79C2214yescomplemented
30#562×C79C2214yescomplemented
31#562×C79C2214yescomplemented
32#562×C79C2214yescomplemented
33#562×C79C2211yescharacteristic, complemented
34#562×C79C2212yescomplemented
35#562×C79C2211yescharacteristic, complemented
36#562×C79C2212yescomplemented
37#562×C79C2212yescomplemented
38#562×C79C2211yescharacteristic, complemented
39H(3,𝔽4)×C79C2212yescomplemented
40H(3,𝔽4)×C79C2212yescomplemented
41#560×C79C2214yescomplemented
42#560×C79C2214yescomplemented
43#560×C79C2214yescomplemented
44#560×C79C2214yescomplemented
45#560×C79C2214yescomplemented
46#560×C79C2214yescomplemented
47#559×C79C2212yescomplemented
48#559×C79C2214yescomplemented
49#559×C79C2214yescomplemented
50#556×C79C2214yescomplemented
51#556×C79C2212yescomplemented
52#555×C79C2214yescomplemented
53#555×C79C2214yescomplemented
54#554×C79C2214yescomplemented
55#554×C79C2214yescomplemented
56#553×C79C2214yescomplemented
57#553×C79C2214yescomplemented
58#553×C79C2214yescomplemented
59#553×C79C2214yescomplemented
60#553×C79C2214yescomplemented
61#553×C79C2214yescomplemented
62#553×C79C2214yescomplemented
63#553×C79C2214yescomplemented
64#553×C79C2214yescomplemented
65#553×C79C2214yescomplemented
66#553×C79C2214yescomplemented
67#553×C79C2214yescomplemented
68#553×C79C2214yescomplemented
69#553×C79C2214yescomplemented
70#552×C79C2214yescomplemented
71#552×C79C2214yescomplemented
72#552×C79C2214yescomplemented
73#552×C79C2214yescomplemented
74#552×C79C2214yescomplemented
75#552×C79C2214yescomplemented
76#551×C79C2214yescomplemented
77#551×C79C2214yescomplemented
78#551×C79C2214yescomplemented
79#551×C79C2214yescomplemented
80#551×C79C2214yescomplemented
81#551×C79C2214yescomplemented
82#551×C79C2214yescomplemented
83#551×C79C2214yescomplemented
84#551×C79C2214yescomplemented
85#551×C79C2214yescomplemented
86#550×C79C2214yescomplemented
87D4×Q8×C79C2212yescomplemented
88#548×C79C2214yescomplemented
89#548×C79C2214yescomplemented
90#548×C79C2212yescomplemented
91#548×C79C2212yescomplemented
92#547×C79C2214yescomplemented
93#547×C79C2214yescomplemented
94#546×C79C2214yescomplemented
95#546×C79C2214yescomplemented
96#546×C79C2214yescomplemented
97#546×C79C2212yescomplemented
98#546×C79C2214yescomplemented
99#546×C79C2214yescomplemented
100#546×C79C2214yescomplemented
101#546×C79C2214yescomplemented
102#546×C79C2214yescomplemented
103#546×C79C2214yescomplemented
104#546×C79C2214yescomplemented
105#546×C79C2214yescomplemented
106#546×C79C2214yescomplemented
107#546×C79C2214yescomplemented
108#546×C79C2212yescomplemented
109D42×C79C2214yescomplemented
110D42×C79C2214yescomplemented
111D42×C79C2214yescomplemented
112D42×C79C2214yescomplemented
113D42×C79C2214yescomplemented
114D42×C79C2212yescomplemented
115D42×C79C2214yescomplemented
116#542×C79C2214yescomplemented
117#542×C79C2214yescomplemented
118#542×C79C2214yescomplemented
119#542×C79C2214yescomplemented
120#542×C79C2214yescomplemented
121#542×C79C2214yescomplemented
122#541×C79C2214yescomplemented
123#541×C79C2214yescomplemented
124#541×C79C2212yescomplemented
125#540×C79C2214yescomplemented
126#540×C79C2214yescomplemented
127#540×C79C2214yescomplemented
128#540×C79C2214yescomplemented
129#540×C79C2214yescomplemented
130#540×C79C2214yescomplemented
131#540×C79C2212yescomplemented
132#540×C79C2214yescomplemented
133#539×C79C2214yescomplemented
134#539×C79C2214yescomplemented
135#539×C79C2214yescomplemented
136#539×C79C2214yescomplemented
137#539×C79C2214yescomplemented
138#539×C79C2214yescomplemented
139#539×C79C2214yescomplemented
140#539×C79C2214yescomplemented
141#539×C79C2214yescomplemented
142#538×C79C2214yescomplemented
143#538×C79C2214yescomplemented
144#538×C79C2214yescomplemented
145#538×C79C2214yescomplemented
146#538×C79C2214yescomplemented
147#538×C79C2214yescomplemented
148#538×C79C2214yescomplemented
149#538×C79C2214yescomplemented
150#538×C79C2214yescomplemented
151#538×C79C2214yescomplemented
152#538×C79C2214yescomplemented
153#538×C79C2214yescomplemented
154#538×C79C2214yescomplemented
155#538×C79C2214yescomplemented
156#538×C79C2214yescomplemented
157#538×C79C2214yescomplemented
158#537×C79C2212yescomplemented
159#537×C79C2214yescomplemented
160#536×C79C2214yescomplemented
161#535×C79C2214yescomplemented
162#535×C79C2214yescomplemented
163#535×C79C2214yescomplemented
164#534×C79C2214yescomplemented
165#534×C79C2214yescomplemented
166#534×C79C2214yescomplemented
167#534×C79C2214yescomplemented
168#534×C79C2214yescomplemented
169#534×C79C2214yescomplemented
170#532×C79C2211yescharacteristic, complemented
171#532×C79C2212yescomplemented
172#532×C79C2214yescomplemented
173#529×C79C2212yescomplemented
174#529×C79C2212yescomplemented
175#529×C79C2212yescomplemented
176#529×C79C2212yescomplemented
177#529×C79C2214yescomplemented
178#529×C79C2214yescomplemented
179#529×C79C2214yescomplemented
180#529×C79C2214yescomplemented
181#529×C79C2214yescomplemented
182#529×C79C2212yescomplemented
183C2×#125×C79C2211yescharacteristic, complemented
184C2×#124×C79C2212yescomplemented
185C2×#124×C79C2212yescomplemented
186#525×C79C2214yescomplemented
187#525×C79C2214yescomplemented
188#525×C79C2214yescomplemented
189#525×C79C2214yescomplemented
190#525×C79C2214yescomplemented
191#525×C79C2214yescomplemented
192C2×#123×C79C2214yescomplemented
193C2×#123×C79C2214yescomplemented
194C2×C22⋊Q8×C79C2214yescomplemented
195C2×#121×C79C2214yescomplemented
196C2×#121×C79C2214yescomplemented
197C2×#121×C79C2214yescomplemented
198#520×C79C2212yescomplemented
199#518×C79C2214yescomplemented
200#518×C79C2214yescomplemented
201C4×#41×C79C2211yescharacteristic, complemented
202C2×C4×D4×C79C2214yescomplemented
203C2×#41×C79C2311yescharacteristic
204C2×#41×C79C2312yes—
205C2×#41×C79C2312yes—
206C2×#41×C79C2314yes—
207C2×#41×C79C2314yes—
208C2×#41×C79C2314yes—
209C2×#41×C79C2314yes—
210C2×#41×C79C2312yes—
211C22×Q8×C79C2312yes—
212C22×Q8×C79C2312yes—
213C22×D4×C79C2314yes—
214C22×D4×C79C2314yes—
215C22×D4×C79C2314yes—
216C22×D4×C79C2314yes—
217C22×D4×C79C2312yes—
218C22×D4×C79C2314yes—
219C22×D4×C79C2314yes—
220C22×D4×C79C2314yes—
221C22×D4×C79C2314yes—
222C22×D4×C79C2314yes—
223C22×D4×C79C2312yes—
224C23×C4×C79C2314yes—
225C23×C4×C79C2314yes—
226C4⋊Q8×C79C2314yes—
227C4⋊Q8×C79C2311yescharacteristic
228C4⋊Q8×C79C2312yes—
229C4⋊Q8×C79C2314yes—
230C4⋊Q8×C79C2314yes—
231#127×C79C2311yescharacteristic
232#127×C79C2312yes—
233#127×C79C2314yes—
234#127×C79C2314yes—
235#127×C79C2314yes—
236#127×C79C2314yes—
237#126×C79C2314yes—
238#126×C79C2314yes—
239#126×C79C2314yes—
240#126×C79C2314yes—
241#126×C79C2314yes—
242#126×C79C2314yes—
243#126×C79C2314yes—
244#126×C79C2314yes—
245#126×C79C2314yes—
246#126×C79C2314yes—
247#126×C79C2314yes—
248#126×C79C2314yes—
249#126×C79C2314yes—
250#126×C79C2314yes—
251#126×C79C2314yes—
252#126×C79C2314yes—
253#126×C79C2314yes—
254#126×C79C2314yes—
255#126×C79C2314yes—
256#126×C79C2314yes—
257#126×C79C2314yes—
258#126×C79C2314yes—
259#126×C79C2314yes—
260#126×C79C2314yes—
261#126×C79C2314yes—
262#125×C79C2311yescharacteristic
263#125×C79C2311yescharacteristic
264#125×C79C2314yes—
265#125×C79C2312yes—
266#125×C79C2312yes—
267#125×C79C2314yes—
268#125×C79C2314yes—
269#125×C79C2314yes—
270#125×C79C2314yes—
271#125×C79C2314yes—
272#125×C79C2314yes—
273#125×C79C2314yes—
274#125×C79C2314yes—
275#125×C79C2314yes—
276#125×C79C2314yes—
277#125×C79C2314yes—
278#125×C79C2314yes—
279#124×C79C2312yes—
280#124×C79C2312yes—
281#124×C79C2312yes—
282#124×C79C2314yes—
283#124×C79C2314yes—
284#124×C79C2312yes—
285#124×C79C2312yes—
286#124×C79C2312yes—
287#124×C79C2312yes—
288#124×C79C2314yes—
289#124×C79C2314yes—
290#124×C79C2312yes—
291#124×C79C2314yes—
292#124×C79C2314yes—
293#124×C79C2314yes—
294#124×C79C2314yes—
295#124×C79C2314yes—
296#124×C79C2314yes—
297#124×C79C2314yes—
298#124×C79C2314yes—
299#124×C79C2314yes—
300#124×C79C2314yes—
301#124×C79C2314yes—
302#124×C79C2314yes—
303#124×C79C2314yes—
304#124×C79C2314yes—
305#124×C79C2314yes—
306#123×C79C2314yes—
307#123×C79C2314yes—
308#123×C79C2314yes—
309#123×C79C2314yes—
310#123×C79C2314yes—
311#123×C79C2314yes—
312#123×C79C2314yes—
313#123×C79C2314yes—
314#123×C79C2314yes—
315#123×C79C2314yes—
316#123×C79C2314yes—
317#123×C79C2314yes—
318#123×C79C2314yes—
319#123×C79C2314yes—
320#123×C79C2314yes—
321#123×C79C2314yes—
322#123×C79C2314yes—
323#123×C79C2314yes—
324#123×C79C2314yes—
325#123×C79C2314yes—
326#123×C79C2314yes—
327#123×C79C2314yes—
328#123×C79C2314yes—
329#123×C79C2314yes—
330#123×C79C2314yes—
331#123×C79C2314yes—
332#123×C79C2314yes—
333#123×C79C2314yes—
334#123×C79C2314yes—
335#123×C79C2314yes—
336#123×C79C2314yes—
337#123×C79C2314yes—
338#123×C79C2314yes—
339#123×C79C2314yes—
340#123×C79C2314yes—
341#123×C79C2314yes—
342#123×C79C2314yes—
343#123×C79C2314yes—
344#123×C79C2314yes—
345#123×C79C2314yes—
346#123×C79C2314yes—
347#123×C79C2314yes—
348#123×C79C2314yes—
349#123×C79C2314yes—
350#123×C79C2314yes—
351#123×C79C2314yes—
352#123×C79C2314yes—
353#123×C79C2314yes—
354#123×C79C2314yes—
355#123×C79C2314yes—
356#123×C79C2314yes—
357C22⋊Q8×C79C2314yes—
358C22⋊Q8×C79C2314yes—
359C22⋊Q8×C79C2314yes—
360C22⋊Q8×C79C2314yes—
361C22⋊Q8×C79C2314yes—
362C22⋊Q8×C79C2314yes—
363C22⋊Q8×C79C2314yes—
364C22⋊Q8×C79C2314yes—
365C22⋊Q8×C79C2314yes—
366C22⋊Q8×C79C2314yes—
367C22⋊Q8×C79C2314yes—
368C22⋊Q8×C79C2314yes—
369C22⋊Q8×C79C2314yes—
370C22⋊Q8×C79C2314yes—
371C22⋊Q8×C79C2314yes—
372C22⋊Q8×C79C2314yes—
373C22⋊Q8×C79C2314yes—
374C22⋊Q8×C79C2312yes—
375C22⋊Q8×C79C2312yes—
376C22⋊Q8×C79C2312yes—
377C22⋊Q8×C79C2312yes—
378C22⋊Q8×C79C2312yes—
379C22⋊Q8×C79C2314yes—
380C22⋊Q8×C79C2314yes—
381C22⋊Q8×C79C2314yes—
382C22⋊Q8×C79C2314yes—
383C22⋊Q8×C79C2314yes—
384C22⋊Q8×C79C2314yes—
385C22⋊Q8×C79C2314yes—
386C22⋊Q8×C79C2314yes—
387C22⋊Q8×C79C2314yes—
388C22⋊Q8×C79C2314yes—
389C22⋊Q8×C79C2314yes—
390C22⋊Q8×C79C2314yes—
391C22⋊Q8×C79C2314yes—
392#121×C79C2314yes—
393#121×C79C2314yes—
394#121×C79C2314yes—
395#121×C79C2314yes—
396#121×C79C2314yes—
397#121×C79C2314yes—
398#121×C79C2314yes—
399#121×C79C2314yes—
400#121×C79C2314yes—
401#121×C79C2314yes—
402#121×C79C2314yes—
403#121×C79C2314yes—
404#121×C79C2314yes—
405#121×C79C2314yes—
406#121×C79C2314yes—
407#121×C79C2314yes—
408#121×C79C2314yes—
409#121×C79C2314yes—
410#121×C79C2314yes—
411#121×C79C2314yes—
412#121×C79C2314yes—
413#121×C79C2314yes—
414#121×C79C2314yes—
415#121×C79C2314yes—
416#121×C79C2314yes—
417#121×C79C2314yes—
418#121×C79C2314yes—
419#121×C79C2314yes—
420#121×C79C2314yes—
421#121×C79C2314yes—
422#121×C79C2314yes—
423#121×C79C2312yes—
424#121×C79C2312yes—
425#121×C79C2312yes—
426#121×C79C2314yes—
427#121×C79C2314yes—
428#121×C79C2312yes—
429#121×C79C2312yes—
430#121×C79C2314yes—
431#121×C79C2314yes—
432#121×C79C2314yes—
433#121×C79C2314yes—
434#121×C79C2314yes—
435#121×C79C2314yes—
436#121×C79C2314yes—
437#121×C79C2314yes—
438#121×C79C2314yes—
439#121×C79C2314yes—
440#121×C79C2314yes—
441#121×C79C2314yes—
442#121×C79C2314yes—
443#121×C79C2314yes—
444#121×C79C2314yes—
445#121×C79C2314yes—
446#121×C79C2314yes—
447#121×C79C2314yes—
448#121×C79C2314yes—
449#121×C79C2314yes—
450#121×C79C2314yes—
451#121×C79C2314yes—
452#121×C79C2314yes—
453#121×C79C2314yes—
454#121×C79C2314yes—
455#121×C79C2314yes—
456#120×C79C2314yes—
457#120×C79C2314yes—
458#120×C79C2314yes—
459#120×C79C2314yes—
460#120×C79C2314yes—
461#120×C79C2314yes—
462#120×C79C2314yes—
463#120×C79C2314yes—
464#120×C79C2314yes—
465#120×C79C2314yes—
466#120×C79C2314yes—
467#120×C79C2314yes—
468#120×C79C2314yes—
469#120×C79C2314yes—
470#120×C79C2314yes—
471#120×C79C2314yes—
472#120×C79C2314yes—
473#120×C79C2314yes—
474#120×C79C2314yes—
475#120×C79C2314yes—
476#120×C79C2314yes—
477#120×C79C2314yes—
478#120×C79C2314yes—
479#120×C79C2314yes—
480C4×Q8×C79C2312yes—
481C4×Q8×C79C2312yes—
482C4×Q8×C79C2312yes—
483C4×Q8×C79C2312yes—
484C4×Q8×C79C2312yes—
485C4×Q8×C79C2314yes—
486C4×Q8×C79C2314yes—
487C4×Q8×C79C2314yes—
488C4×Q8×C79C2312yes—
489C4×D4×C79C2314yes—
490C4×D4×C79C2314yes—
491C4×D4×C79C2314yes—
492C4×D4×C79C2314yes—
493C4×D4×C79C2314yes—
494C4×D4×C79C2314yes—
495C4×D4×C79C2314yes—
496C4×D4×C79C2314yes—
497C4×D4×C79C2312yes—
498C4×D4×C79C2312yes—
499C4×D4×C79C2312yes—
500C4×D4×C79C2314yes—
501C4×D4×C79C2314yes—
502C4×D4×C79C2314yes—
503C4×D4×C79C2314yes—
504C4×D4×C79C2314yes—
505C4×D4×C79C2314yes—
506C4×D4×C79C2314yes—
507C4×D4×C79C2314yes—
508C4×D4×C79C2314yes—
509C4×D4×C79C2314yes—
510C4×D4×C79C2314yes—
511C4×D4×C79C2314yes—
512C4×D4×C79C2312yes—
513C4×D4×C79C2314yes—
514C4×D4×C79C2312yes—
515C4×D4×C79C2314yes—
516C4×D4×C79C2312yes—
517C4×D4×C79C2314yes—
518C4×D4×C79C2314yes—
519C4×D4×C79C2314yes—
520C4×D4×C79C2314yes—
521C4×D4×C79C2314yes—
522C4×D4×C79C2314yes—
523C4×D4×C79C2314yes—
524C4×D4×C79C2314yes—
525C4×D4×C79C2314yes—
526C4×D4×C79C2312yes—
527C4×D4×C79C2314yes—
528C4×D4×C79C2314yes—
529C4×D4×C79C2314yes—
530C4×D4×C79C2314yes—
531C4×D4×C79C2314yes—
532C4×D4×C79C2314yes—
533C4×D4×C79C2312yes—
534C4×D4×C79C2314yes—
535C4×D4×C79C2314yes—
536C4×D4×C79C2314yes—
537C4×D4×C79C2314yes—
538#117×C79C2311yescharacteristic
539#117×C79C2312yes—
540#117×C79C2314yes—
541#117×C79C2314yes—
542#117×C79C2314yes—
543#117×C79C2314yes—
544#117×C79C2314yes—
545#117×C79C2314yes—
546#117×C79C2314yes—
547#117×C79C2314yes—
548#117×C79C2314yes—
549#117×C79C2314yes—
550#117×C79C2314yes—
551#117×C79C2314yes—
552#117×C79C2314yes—
553#117×C79C2314yes—
554#117×C79C2314yes—
555C2×C4⋊C4×C79C2314yes—
556C2×C4⋊C4×C79C2312yes—
557C2×C4⋊C4×C79C2314yes—
558C2×C4⋊C4×C79C2314yes—
559C2×C4⋊C4×C79C2314yes—
560C2×C4⋊C4×C79C2314yes—
561C2×C4⋊C4×C79C2314yes—
562C2×C4⋊C4×C79C2314yes—
563C2×C22⋊C4×C79C2314yes—
564C2×C22⋊C4×C79C2314yes—
565C2×C22⋊C4×C79C2314yes—
566C2×C22⋊C4×C79C2314yes—
567C2×C22⋊C4×C79C2314yes—
568C2×C22⋊C4×C79C2314yes—
569C2×C22⋊C4×C79C2314yes—
570C2×C22⋊C4×C79C2314yes—
571C2×C22⋊C4×C79C2314yes—
572C2×C22⋊C4×C79C2314yes—
573C2×C22⋊C4×C79C2314yes—
574C2×C22⋊C4×C79C2314yes—
575C2×C22⋊C4×C79C2314yes—
576C2×C22⋊C4×C79C2314yes—
577C2×C42×C79C2314yes—
578C2×C42×C79C2311yescharacteristic
579C2×C42×C79C2312yes—
580C24×C79C2414yes—
581C24×C79C2414yes—
582C24×C79C2414yes—
583C24×C79C2414yes—
584#41×C79—42no—
585#41×C79—44no—
586#41×C79—82no—
587#41×C79—84no—
588#41×C79—84no—
589#41×C79—84no—
590#41×C79—84no—
591#41×C79—82no—
592C2×Q8×C79—82no—
593C2×Q8×C79—82no—
594C2×Q8×C79C2411yescharacteristic
595C2×Q8×C79C2412yes—
596C2×Q8×C79C2412yes—
597C2×Q8×C79C2412yes—
598C2×Q8×C79C2414yes—
599C2×Q8×C79C2414yes—
600C2×Q8×C79C2414yes—
601C2×Q8×C79C2412yes—
602C2×D4×C79—48no—
603C2×D4×C79—48no—
604C2×D4×C79—48no—
605C2×D4×C79—84no—
606C2×D4×C79—84no—
607C2×D4×C79—84no—
608C2×D4×C79—82no—
609C2×D4×C79—82no—
610C2×D4×C79—84no—
611C2×D4×C79—84no—
612C2×D4×C79—84no—
613C2×D4×C79C2414yes—
614C2×D4×C79C2412yes—
615C2×D4×C79C2414yes—
616C2×D4×C79C2411yescharacteristic
617C2×D4×C79C2412yes—
618C2×D4×C79C2414yes—
619C2×D4×C79C2414yes—
620C2×D4×C79C2414yes—
621C2×D4×C79C2414yes—
622C2×D4×C79C2414yes—
623C2×D4×C79C2414yes—
624C2×D4×C79C2414yes—
625C2×D4×C79C2412yes—
626C2×D4×C79C2414yes—
627C2×D4×C79C2414yes—
628C2×D4×C79C2414yes—
629C2×D4×C79C2414yes—
630C2×D4×C79C2414yes—
631C2×D4×C79C2414yes—
632C2×D4×C79C2414yes—
633C2×D4×C79C2414yes—
634C2×D4×C79C2414yes—
635C2×D4×C79C2414yes—
636C2×D4×C79C2412yes—
637C2×D4×C79C2412yes—
638C2×D4×C79C2414yes—
639C2×D4×C79C2414yes—
640C2×D4×C79C2414yes—
641C2×D4×C79C2414yes—
642C2×D4×C79C2414yes—
643C2×D4×C79C2414yes—
644C2×D4×C79C2414yes—
645C2×D4×C79C2414yes—
646C2×D4×C79C2414yes—
647C22×C4×C79—84no—
648C22×C4×C79—84no—
649C22×C4×C79C2411yescharacteristic
650C22×C4×C79C2412yes—
651C22×C4×C79C2412yes—
652C22×C4×C79C2414yes—
653C22×C4×C79C2412yes—
654C22×C4×C79C2414yes—
655C22×C4×C79C2412yes—
656C22×C4×C79C2414yes—
657C22×C4×C79C2414yes—
658C22×C4×C79C2414yes—
659C22×C4×C79C2414yes—
660C22×C4×C79C2414yes—
661C22×C4×C79C2414yes—
662C22×C4×C79C2414yes—
663C22×C4×C79C2414yes—
664C22×C4×C79C2414yes—
665C22×C4×C79C2414yes—
666C22×C4×C79C2414yes—
667C22×C4×C79C2414yes—
668C22×C4×C79C2414yes—
669C22×C4×C79C2414yes—
670C22×C4×C79C2414yes—
671C22×C4×C79C2414yes—
672C22×C4×C79C2414yes—
673C22×C4×C79C2414yes—
674C22×C4×C79C2414yes—
675C4⋊C4×C79C2412yes—
676C4⋊C4×C79C2414yes—
677C4⋊C4×C79C2414yes—
678C4⋊C4×C79C2414yes—
679C4⋊C4×C79C2414yes—
680C4⋊C4×C79C2414yes—
681C4⋊C4×C79C2414yes—
682C4⋊C4×C79C2414yes—
683C4⋊C4×C79C2414yes—
684C4⋊C4×C79C2414yes—
685C4⋊C4×C79C2414yes—
686C4⋊C4×C79C2414yes—
687C4⋊C4×C79C2414yes—
688C4⋊C4×C79C2414yes—
689C4⋊C4×C79C2414yes—
690C4⋊C4×C79C2414yes—
691C4⋊C4×C79C2414yes—
692C4⋊C4×C79C2414yes—
693C4⋊C4×C79C2414yes—
694C4⋊C4×C79C2414yes—
695C4⋊C4×C79C2414yes—
696C4⋊C4×C79C2414yes—
697C4⋊C4×C79C2414yes—
698C4⋊C4×C79C2414yes—
699C4⋊C4×C79C2412yes—
700C4⋊C4×C79C2412yes—
701C4⋊C4×C79C2412yes—
702C4⋊C4×C79C2414yes—
703C4⋊C4×C79C2414yes—
704C4⋊C4×C79C2414yes—
705C4⋊C4×C79C2414yes—
706C4⋊C4×C79C2414yes—
707C4⋊C4×C79C2414yes—
708C4⋊C4×C79C2414yes—
709C4⋊C4×C79C2412yes—
710C4⋊C4×C79C2414yes—
711C4⋊C4×C79C2414yes—
712C4⋊C4×C79C2412yes—
713C4⋊C4×C79C2414yes—
714C4⋊C4×C79C2414yes—
715C4⋊C4×C79C2412yes—
716C22⋊C4×C79C2411yescharacteristic
717C22⋊C4×C79C2414yes—
718C22⋊C4×C79C2414yes—
719C22⋊C4×C79C2414yes—
720C22⋊C4×C79C2414yes—
721C22⋊C4×C79C2412yes—
722C22⋊C4×C79C2414yes—
723C22⋊C4×C79C2414yes—
724C22⋊C4×C79C2414yes—
725C22⋊C4×C79C2414yes—
726C22⋊C4×C79C2414yes—
727C22⋊C4×C79C2414yes—
728C22⋊C4×C79C2414yes—
729C22⋊C4×C79C2414yes—
730C22⋊C4×C79C2414yes—
731C22⋊C4×C79C2414yes—
732C22⋊C4×C79C2414yes—
733C22⋊C4×C79C2414yes—
734C22⋊C4×C79C2414yes—
735C22⋊C4×C79C2414yes—
736C22⋊C4×C79C2414yes—
737C22⋊C4×C79C2414yes—
738C22⋊C4×C79C2414yes—
739C22⋊C4×C79C2414yes—
740C22⋊C4×C79C2414yes—
741C22⋊C4×C79C2414yes—
742C22⋊C4×C79C2414yes—
743C22⋊C4×C79C2414yes—
744C22⋊C4×C79C2414yes—
745C22⋊C4×C79C2414yes—
746C22⋊C4×C79C2414yes—
747C22⋊C4×C79C2414yes—
748C22⋊C4×C79C2414yes—
749C22⋊C4×C79C2414yes—
750C22⋊C4×C79C2414yes—
751C22⋊C4×C79C2414yes—
752C22⋊C4×C79C2414yes—
753C22⋊C4×C79C2414yes—
754C22⋊C4×C79C2414yes—
755C22⋊C4×C79C2414yes—
756C22⋊C4×C79C2414yes—
757C22⋊C4×C79C2414yes—
758C22⋊C4×C79C2414yes—
759C22⋊C4×C79C2411yescharacteristic
760C22⋊C4×C79C2412yes—
761C22⋊C4×C79C2414yes—
762C22⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C22⋊C4×C79C2414yes—
767C22⋊C4×C79C2414yes—
768C22⋊C4×C79C2414yes—
769C42×C79C2411yescharacteristic
770C42×C79C2411yescharacteristic
771C42×C79C2414yes—
772C42×C79C2414yes—
773C42×C79C2412yes—
774C42×C79C2412yes—
775C42×C79C2414yes—
776C42×C79C2412yes—
777C42×C79C2414yes—
778C42×C79C2412yes—
779C42×C79C2414yes—
780C42×C79C2414yes—
781C42×C79C2414yes—
782C42×C79C2414yes—
783C42×C79C2414yes—
784C23×C79—28no—
785C23×C79—44no—
786C23×C79—44no—
787C23×C79—44no—
788C23×C79—44no—
789C23×C79—44no—
790C23×C79—44no—
791C23×C79—44no—
792C23×C79—44no—
793C23×C79—44no—
794C23×C79—44no—
795C23×C79—44no—
796C23×C79C2514yes—
797C23×C79C2514yes—
798C23×C79C2514yes—
799C23×C79C2512yes—
800C23×C79C2514yes—
801C23×C79C2511yescharacteristic
802Q8×C79—42no—
803Q8×C79—42no—
804Q8×C79—44no—
805Q8×C79—44no—
806Q8×C79—42no—
807Q8×C79—41no—
808Q8×C79—42no—
809Q8×C79—44no—
810D4×C79—28no—
811D4×C79—28no—
812D4×C79—24no—
813D4×C79—44no—
814D4×C79—44no—
815D4×C79—44no—
816D4×C79—44no—
817D4×C79—44no—
818D4×C79—44no—
819D4×C79—44no—
820D4×C79—44no—
821D4×C79—44no—
822D4×C79—44no—
823D4×C79—44no—
824D4×C79—44no—
825D4×C79—44no—
826D4×C79—44no—
827D4×C79—42no—
828D4×C79—44no—
829D4×C79—44no—
830D4×C79—44no—
831D4×C79—44no—
832D4×C79—44no—
833D4×C79—44no—
834D4×C79—44no—
835D4×C79—44no—
836D4×C79—42no—
837D4×C79—44no—
838D4×C79—42no—
839D4×C79—44no—
840D4×C79—41no—
841D4×C79—42no—
842D4×C79—44no—
843D4×C79—44no—
844C2×C4×C79—22no—
845C2×C4×C79—44no—
846C2×C4×C79—44no—
847C2×C4×C79—44no—
848C2×C4×C79—44no—
849C2×C4×C79—44no—
850C2×C4×C79—44no—
851C2×C4×C79—44no—
852C2×C4×C79—44no—
853C2×C4×C79—44no—
854C2×C4×C79—44no—
855C2×C4×C79—44no—
856C2×C4×C79—44no—
857C2×C4×C79—44no—
858C2×C4×C79—44no—
859C2×C4×C79—42no—
860C2×C4×C79—42no—
861C2×C4×C79—44no—
862C2×C4×C79—44no—
863C2×C4×C79—44no—
864C2×C4×C79—44no—
865C2×C4×C79—44no—
866C2×C4×C79—42no—
867C2×C4×C79—42no—
868C2×C4×C79—44no—
869C2×C4×C79—44no—
870C2×C4×C79C2512yes—
871C2×C4×C79C2511yescharacteristic
872C2×C4×C79C2514yes—
873C2×C4×C79C2512yes—
874C2×C4×C79C2512yes—
875C2×C4×C79C2514yes—
876C2×C4×C79C2514yes—
877C2×C4×C79C2512yes—
878C2×C4×C79C2512yes—
879C2×C4×C79C2511yescharacteristic
880C2×C4×C79C2514yes—
881C2×C4×C79C2514yes—
882C2×C4×C79C2514yes—
883C2×C4×C79C2514yes—
884C2×C4×C79C2514yes—
885C22×C79—22no—
886C22×C79—24no—
887C22×C79—24no—
888C22×C79—22no—
889C22×C79—24no—
890C22×C79—24no—
891C22×C79—24no—
892C22×C79—24no—
893C22×C79—22no—
894C22×C79—24no—
895C22×C79—24no—
896C22×C79—24no—
897C22×C79—24no—
898C22×C79—24no—
899C22×C79—22no—
900C22×C79—24no—
901C22×C79—88no—
902C22×C79—88no—
903C22×C79—164no—
904C22×C79—164no—
905C22×C79#58512yes—
906C22×C79C2611yescharacteristic
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—24no—
910C4×C79—22no—
911C4×C79—24no—
912C4×C79—22no—
913C4×C79—24no—
914C4×C79—24no—
915C4×C79—24no—
916C4×C79—24no—
917C4×C79—24no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—22no—
921C4×C79—24no—
922#63055C7911yesmaximal, characteristic, direct product factor, Sylow
923C2×C79—22no—
924C2×C79—44no—
925C2×C79—44no—
926C2×C79—44no—
927C2×C79—44no—
928C2×C79—42no—
929C2×C79C2×#58511yescharacteristic
930C2×C79H(7,𝔽2)12yes—
931#3567C2×C7912yescomplemented
932#3566C2×C7914yescomplemented
933#3566C2×C7914yescomplemented
934#3562C2×C7914yescomplemented
935#3558C2×C7912yescomplemented
936#3558C2×C7912yescomplemented
937#3553C2×C7911yescharacteristic, complemented
938#3545C2×C7912yescomplemented
939#3542C2×C7914yescomplemented
940#3541C2×C7914yescomplemented
941#3537C2×C7914yescomplemented
942#3534C2×C7914yescomplemented
943#3534C2×C7914yescomplemented
944#3533C2×C7914yescomplemented
945#3529C2×C7912yescomplemented
946C2×#562C2×C7911yescharacteristic, complemented
947#3519C2×C7914yescomplemented
948#3514C2×C7912yescomplemented
949#3513C2×C7914yescomplemented
950#3512C2×C7911yescharacteristic, complemented
951#3505C2×C7914yescomplemented
952C79#6305511yescharacteristic, direct product factor, Sylow
953#564C22×C7911yescharacteristic, complemented
954#563C22×C7914yescomplemented
955#563C22×C7912yescomplemented
956#563C22×C7914yescomplemented
957#562C22×C7911yescharacteristic, complemented
958#562C22×C7914yescomplemented
959#562C22×C7914yescomplemented
960#562C22×C7914yescomplemented
961#562C22×C7911yescharacteristic, complemented
962#562C22×C7912yescomplemented
963#562C22×C7914yescomplemented
964#562C22×C7914yescomplemented
965#562C22×C7912yescomplemented
966#562C22×C7914yescomplemented
967#562C22×C7914yescomplemented
968#562C22×C7912yescomplemented
969#562C22×C7911yescharacteristic, complemented
970H(3,𝔽4)C22×C7912yescomplemented
971H(3,𝔽4)C22×C7912yescomplemented
972#560C22×C7914yescomplemented
973#560C22×C7914yescomplemented
974#560C22×C7914yescomplemented
975#560C22×C7914yescomplemented
976#560C22×C7914yescomplemented
977#560C22×C7914yescomplemented
978#559C22×C7914yescomplemented
979#559C22×C7912yescomplemented
980#559C22×C7914yescomplemented
981#556C22×C7912yescomplemented
982#556C22×C7914yescomplemented
983#555C22×C7914yescomplemented
984#555C22×C7914yescomplemented
985#554C22×C7914yescomplemented
986#554C22×C7914yescomplemented
987#553C22×C7914yescomplemented
988#553C22×C7914yescomplemented
989#553C22×C7914yescomplemented
990#553C22×C7914yescomplemented
991#553C22×C7914yescomplemented
992#553C22×C7914yescomplemented
993#553C22×C7914yescomplemented
994#553C22×C7914yescomplemented
995#553C22×C7914yescomplemented
996#553C22×C7914yescomplemented
997#553C22×C7914yescomplemented
998#553C22×C7914yescomplemented
999#553C22×C7914yescomplemented
1000#553C22×C7914yescomplemented
1001#552C22×C7914yescomplemented
1002#552C22×C7914yescomplemented
1003#552C22×C7914yescomplemented
1004#552C22×C7914yescomplemented
1005#552C22×C7914yescomplemented
1006#552C22×C7914yescomplemented
1007#551C22×C7914yescomplemented
1008#551C22×C7914yescomplemented
1009#551C22×C7914yescomplemented
1010#551C22×C7914yescomplemented
1011#551C22×C7914yescomplemented
1012#551C22×C7914yescomplemented
1013#551C22×C7914yescomplemented
1014#551C22×C7914yescomplemented
1015#551C22×C7914yescomplemented
1016#551C22×C7914yescomplemented
1017#550C22×C7914yescomplemented
1018D4×Q8C22×C7912yescomplemented
1019#548C22×C7912yescomplemented
1020#548C22×C7914yescomplemented
1021#548C22×C7912yescomplemented
1022#548C22×C7914yescomplemented
1023#547C22×C7914yescomplemented
1024#547C22×C7914yescomplemented
1025#546C22×C7914yescomplemented
1026#546C22×C7914yescomplemented
1027#546C22×C7914yescomplemented
1028#546C22×C7914yescomplemented
1029#546C22×C7914yescomplemented
1030#546C22×C7914yescomplemented
1031#546C22×C7912yescomplemented
1032#546C22×C7912yescomplemented
1033#546C22×C7914yescomplemented
1034#546C22×C7914yescomplemented
1035#546C22×C7914yescomplemented
1036#546C22×C7914yescomplemented
1037#546C22×C7914yescomplemented
1038#546C22×C7914yescomplemented
1039#546C22×C7914yescomplemented
1040D42C22×C7914yescomplemented
1041D42C22×C7912yescomplemented
1042D42C22×C7914yescomplemented
1043D42C22×C7914yescomplemented
1044D42C22×C7914yescomplemented
1045D42C22×C7914yescomplemented
1046D42C22×C7914yescomplemented
1047#542C22×C7914yescomplemented
1048#542C22×C7914yescomplemented
1049#542C22×C7914yescomplemented
1050#542C22×C7914yescomplemented
1051#542C22×C7914yescomplemented
1052#542C22×C7914yescomplemented
1053#541C22×C7912yescomplemented
1054#541C22×C7914yescomplemented
1055#541C22×C7914yescomplemented
1056#540C22×C7912yescomplemented
1057#540C22×C7914yescomplemented
1058#540C22×C7914yescomplemented
1059#540C22×C7914yescomplemented
1060#540C22×C7914yescomplemented
1061#540C22×C7914yescomplemented
1062#540C22×C7914yescomplemented
1063#540C22×C7914yescomplemented
1064#539C22×C7914yescomplemented
1065#539C22×C7914yescomplemented
1066#539C22×C7914yescomplemented
1067#539C22×C7914yescomplemented
1068#539C22×C7914yescomplemented
1069#539C22×C7914yescomplemented
1070#539C22×C7914yescomplemented
1071#539C22×C7914yescomplemented
1072#539C22×C7914yescomplemented
1073#538C22×C7914yescomplemented
1074#538C22×C7914yescomplemented
1075#538C22×C7914yescomplemented
1076#538C22×C7914yescomplemented
1077#538C22×C7914yescomplemented
1078#538C22×C7914yescomplemented
1079#538C22×C7914yescomplemented
1080#538C22×C7914yescomplemented
1081#538C22×C7914yescomplemented
1082#538C22×C7914yescomplemented
1083#538C22×C7914yescomplemented
1084#538C22×C7914yescomplemented
1085#538C22×C7914yescomplemented
1086#538C22×C7914yescomplemented
1087#538C22×C7914yescomplemented
1088#538C22×C7914yescomplemented
1089#537C22×C7912yescomplemented
1090#537C22×C7914yescomplemented
1091#536C22×C7914yescomplemented
1092#535C22×C7914yescomplemented
1093#535C22×C7914yescomplemented
1094#535C22×C7914yescomplemented
1095#534C22×C7914yescomplemented
1096#534C22×C7914yescomplemented
1097#534C22×C7914yescomplemented
1098#534C22×C7914yescomplemented
1099#534C22×C7914yescomplemented
1100#534C22×C7914yescomplemented
1101#532C22×C7911yescharacteristic, complemented
1102#532C22×C7912yescomplemented
1103#532C22×C7914yescomplemented
1104#529C22×C7914yescomplemented
1105#529C22×C7914yescomplemented
1106#529C22×C7912yescomplemented
1107#529C22×C7912yescomplemented
1108#529C22×C7914yescomplemented
1109#529C22×C7914yescomplemented
1110#529C22×C7912yescomplemented
1111#529C22×C7912yescomplemented
1112#529C22×C7912yescomplemented
1113#529C22×C7914yescomplemented
1114C2×#125C22×C7911yescharacteristic, complemented
1115C2×#124C22×C7912yescomplemented
1116C2×#124C22×C7912yescomplemented
1117#525C22×C7914yescomplemented
1118#525C22×C7914yescomplemented
1119#525C22×C7914yescomplemented
1120#525C22×C7914yescomplemented
1121#525C22×C7914yescomplemented
1122#525C22×C7914yescomplemented
1123C2×#123C22×C7914yescomplemented
1124C2×#123C22×C7914yescomplemented
1125C2×C22⋊Q8C22×C7914yescomplemented
1126C2×#121C22×C7914yescomplemented
1127C2×#121C22×C7914yescomplemented
1128C2×#121C22×C7914yescomplemented
1129#520C22×C7912yescomplemented
1130#518C22×C7914yescomplemented
1131#518C22×C7914yescomplemented
1132C4×#41C22×C7911yescharacteristic, complemented
1133C2×C4×D4C22×C7914yescomplemented
1134C2×#41C23×C7911yescharacteristic
1135C2×#41C23×C7912yes—
1136C2×#41C23×C7912yes—
1137C2×#41C23×C7914yes—
1138C2×#41C23×C7914yes—
1139C2×#41C23×C7914yes—
1140C2×#41C23×C7914yes—
1141C2×#41C23×C7912yes—
1142C22×Q8C23×C7912yes—
1143C22×Q8C23×C7912yes—
1144C22×D4C23×C7914yes—
1145C22×D4C23×C7914yes—
1146C22×D4C23×C7914yes—
1147C22×D4C23×C7914yes—
1148C22×D4C23×C7912yes—
1149C22×D4C23×C7914yes—
1150C22×D4C23×C7914yes—
1151C22×D4C23×C7914yes—
1152C22×D4C23×C7914yes—
1153C22×D4C23×C7914yes—
1154C22×D4C23×C7912yes—
1155C23×C4C23×C7914yes—
1156C23×C4C23×C7914yes—
1157C4⋊Q8C23×C7914yes—
1158C4⋊Q8C23×C7911yescharacteristic
1159C4⋊Q8C23×C7912yes—
1160C4⋊Q8C23×C7914yes—
1161C4⋊Q8C23×C7914yes—
1162#127C23×C7911yescharacteristic
1163#127C23×C7912yes—
1164#127C23×C7914yes—
1165#127C23×C7914yes—
1166#127C23×C7914yes—
1167#127C23×C7914yes—
1168#126C23×C7914yes—
1169#126C23×C7914yes—
1170#126C23×C7914yes—
1171#126C23×C7914yes—
1172#126C23×C7914yes—
1173#126C23×C7914yes—
1174#126C23×C7914yes—
1175#126C23×C7914yes—
1176#126C23×C7914yes—
1177#126C23×C7914yes—
1178#126C23×C7914yes—
1179#126C23×C7914yes—
1180#126C23×C7914yes—
1181#126C23×C7914yes—
1182#126C23×C7914yes—
1183#126C23×C7914yes—
1184#126C23×C7914yes—
1185#126C23×C7914yes—
1186#126C23×C7914yes—
1187#126C23×C7914yes—
1188#126C23×C7914yes—
1189#126C23×C7914yes—
1190#126C23×C7914yes—
1191#126C23×C7914yes—
1192#126C23×C7914yes—
1193#125C23×C7911yescharacteristic
1194#125C23×C7911yescharacteristic
1195#125C23×C7914yes—
1196#125C23×C7912yes—
1197#125C23×C7912yes—
1198#125C23×C7914yes—
1199#125C23×C7914yes—
1200#125C23×C7914yes—
1201#125C23×C7914yes—
1202#125C23×C7914yes—
1203#125C23×C7914yes—
1204#125C23×C7914yes—
1205#125C23×C7914yes—
1206#125C23×C7914yes—
1207#125C23×C7914yes—
1208#125C23×C7914yes—
1209#125C23×C7914yes—
1210#124C23×C7912yes—
1211#124C23×C7912yes—
1212#124C23×C7912yes—
1213#124C23×C7914yes—
1214#124C23×C7914yes—
1215#124C23×C7912yes—
1216#124C23×C7912yes—
1217#124C23×C7912yes—
1218#124C23×C7912yes—
1219#124C23×C7914yes—
1220#124C23×C7914yes—
1221#124C23×C7912yes—
1222#124C23×C7914yes—
1223#124C23×C7914yes—
1224#124C23×C7914yes—
1225#124C23×C7914yes—
1226#124C23×C7914yes—
1227#124C23×C7914yes—
1228#124C23×C7914yes—
1229#124C23×C7914yes—
1230#124C23×C7914yes—
1231#124C23×C7914yes—
1232#124C23×C7914yes—
1233#124C23×C7914yes—
1234#124C23×C7914yes—
1235#124C23×C7914yes—
1236#124C23×C7914yes—
1237#123C23×C7914yes—
1238#123C23×C7914yes—
1239#123C23×C7914yes—
1240#123C23×C7914yes—
1241#123C23×C7914yes—
1242#123C23×C7914yes—
1243#123C23×C7914yes—
1244#123C23×C7914yes—
1245#123C23×C7914yes—
1246#123C23×C7914yes—
1247#123C23×C7914yes—
1248#123C23×C7914yes—
1249#123C23×C7914yes—
1250#123C23×C7914yes—
1251#123C23×C7914yes—
1252#123C23×C7914yes—
1253#123C23×C7914yes—
1254#123C23×C7914yes—
1255#123C23×C7914yes—
1256#123C23×C7914yes—
1257#123C23×C7914yes—
1258#123C23×C7914yes—
1259#123C23×C7914yes—
1260#123C23×C7914yes—
1261#123C23×C7914yes—
1262#123C23×C7914yes—
1263#123C23×C7914yes—
1264#123C23×C7914yes—
1265#123C23×C7914yes—
1266#123C23×C7914yes—
1267#123C23×C7914yes—
1268#123C23×C7914yes—
1269#123C23×C7914yes—
1270#123C23×C7914yes—
1271#123C23×C7914yes—
1272#123C23×C7914yes—
1273#123C23×C7914yes—
1274#123C23×C7914yes—
1275#123C23×C7914yes—
1276#123C23×C7914yes—
1277#123C23×C7914yes—
1278#123C23×C7914yes—
1279#123C23×C7914yes—
1280#123C23×C7914yes—
1281#123C23×C7914yes—
1282#123C23×C7914yes—
1283#123C23×C7914yes—
1284#123C23×C7914yes—
1285#123C23×C7914yes—
1286#123C23×C7914yes—
1287#123C23×C7914yes—
1288C22⋊Q8C23×C7914yes—
1289C22⋊Q8C23×C7914yes—
1290C22⋊Q8C23×C7914yes—
1291C22⋊Q8C23×C7914yes—
1292C22⋊Q8C23×C7914yes—
1293C22⋊Q8C23×C7914yes—
1294C22⋊Q8C23×C7914yes—
1295C22⋊Q8C23×C7914yes—
1296C22⋊Q8C23×C7914yes—
1297C22⋊Q8C23×C7914yes—
1298C22⋊Q8C23×C7914yes—
1299C22⋊Q8C23×C7914yes—
1300C22⋊Q8C23×C7914yes—
1301C22⋊Q8C23×C7914yes—
1302C22⋊Q8C23×C7914yes—
1303C22⋊Q8C23×C7914yes—
1304C22⋊Q8C23×C7914yes—
1305C22⋊Q8C23×C7912yes—
1306C22⋊Q8C23×C7912yes—
1307C22⋊Q8C23×C7912yes—
1308C22⋊Q8C23×C7912yes—
1309C22⋊Q8C23×C7912yes—
1310C22⋊Q8C23×C7914yes—
1311C22⋊Q8C23×C7914yes—
1312C22⋊Q8C23×C7914yes—
1313C22⋊Q8C23×C7914yes—
1314C22⋊Q8C23×C7914yes—
1315C22⋊Q8C23×C7914yes—
1316C22⋊Q8C23×C7914yes—
1317C22⋊Q8C23×C7914yes—
1318C22⋊Q8C23×C7914yes—
1319C22⋊Q8C23×C7914yes—
1320C22⋊Q8C23×C7914yes—
1321C22⋊Q8C23×C7914yes—
1322C22⋊Q8C23×C7914yes—
1323#121C23×C7914yes—
1324#121C23×C7914yes—
1325#121C23×C7914yes—
1326#121C23×C7914yes—
1327#121C23×C7914yes—
1328#121C23×C7914yes—
1329#121C23×C7914yes—
1330#121C23×C7914yes—
1331#121C23×C7914yes—
1332#121C23×C7914yes—
1333#121C23×C7914yes—
1334#121C23×C7914yes—
1335#121C23×C7914yes—
1336#121C23×C7914yes—
1337#121C23×C7914yes—
1338#121C23×C7914yes—
1339#121C23×C7914yes—
1340#121C23×C7914yes—
1341#121C23×C7914yes—
1342#121C23×C7914yes—
1343#121C23×C7914yes—
1344#121C23×C7914yes—
1345#121C23×C7914yes—
1346#121C23×C7914yes—
1347#121C23×C7914yes—
1348#121C23×C7914yes—
1349#121C23×C7914yes—
1350#121C23×C7914yes—
1351#121C23×C7914yes—
1352#121C23×C7914yes—
1353#121C23×C7914yes—
1354#121C23×C7912yes—
1355#121C23×C7912yes—
1356#121C23×C7912yes—
1357#121C23×C7914yes—
1358#121C23×C7914yes—
1359#121C23×C7912yes—
1360#121C23×C7912yes—
1361#121C23×C7914yes—
1362#121C23×C7914yes—
1363#121C23×C7914yes—
1364#121C23×C7914yes—
1365#121C23×C7914yes—
1366#121C23×C7914yes—
1367#121C23×C7914yes—
1368#121C23×C7914yes—
1369#121C23×C7914yes—
1370#121C23×C7914yes—
1371#121C23×C7914yes—
1372#121C23×C7914yes—
1373#121C23×C7914yes—
1374#121C23×C7914yes—
1375#121C23×C7914yes—
1376#121C23×C7914yes—
1377#121C23×C7914yes—
1378#121C23×C7914yes—
1379#121C23×C7914yes—
1380#121C23×C7914yes—
1381#121C23×C7914yes—
1382#121C23×C7914yes—
1383#121C23×C7914yes—
1384#121C23×C7914yes—
1385#121C23×C7914yes—
1386#121C23×C7914yes—
1387#120C23×C7914yes—
1388#120C23×C7914yes—
1389#120C23×C7914yes—
1390#120C23×C7914yes—
1391#120C23×C7914yes—
1392#120C23×C7914yes—
1393#120C23×C7914yes—
1394#120C23×C7914yes—
1395#120C23×C7914yes—
1396#120C23×C7914yes—
1397#120C23×C7914yes—
1398#120C23×C7914yes—
1399#120C23×C7914yes—
1400#120C23×C7914yes—
1401#120C23×C7914yes—
1402#120C23×C7914yes—
1403#120C23×C7914yes—
1404#120C23×C7914yes—
1405#120C23×C7914yes—
1406#120C23×C7914yes—
1407#120C23×C7914yes—
1408#120C23×C7914yes—
1409#120C23×C7914yes—
1410#120C23×C7914yes—
1411C4×Q8C23×C7912yes—
1412C4×Q8C23×C7912yes—
1413C4×Q8C23×C7912yes—
1414C4×Q8C23×C7912yes—
1415C4×Q8C23×C7912yes—
1416C4×Q8C23×C7914yes—
1417C4×Q8C23×C7914yes—
1418C4×Q8C23×C7914yes—
1419C4×Q8C23×C7912yes—
1420C4×D4C23×C7914yes—
1421C4×D4C23×C7914yes—
1422C4×D4C23×C7914yes—
1423C4×D4C23×C7914yes—
1424C4×D4C23×C7914yes—
1425C4×D4C23×C7914yes—
1426C4×D4C23×C7914yes—
1427C4×D4C23×C7914yes—
1428C4×D4C23×C7912yes—
1429C4×D4C23×C7912yes—
1430C4×D4C23×C7912yes—
1431C4×D4C23×C7914yes—
1432C4×D4C23×C7914yes—
1433C4×D4C23×C7914yes—
1434C4×D4C23×C7914yes—
1435C4×D4C23×C7914yes—
1436C4×D4C23×C7914yes—
1437C4×D4C23×C7914yes—
1438C4×D4C23×C7914yes—
1439C4×D4C23×C7914yes—
1440C4×D4C23×C7914yes—
1441C4×D4C23×C7914yes—
1442C4×D4C23×C7914yes—
1443C4×D4C23×C7912yes—
1444C4×D4C23×C7914yes—
1445C4×D4C23×C7912yes—
1446C4×D4C23×C7914yes—
1447C4×D4C23×C7912yes—
1448C4×D4C23×C7914yes—
1449C4×D4C23×C7914yes—
1450C4×D4C23×C7914yes—
1451C4×D4C23×C7914yes—
1452C4×D4C23×C7914yes—
1453C4×D4C23×C7914yes—
1454C4×D4C23×C7914yes—
1455C4×D4C23×C7914yes—
1456C4×D4C23×C7914yes—
1457C4×D4C23×C7912yes—
1458C4×D4C23×C7914yes—
1459C4×D4C23×C7914yes—
1460C4×D4C23×C7914yes—
1461C4×D4C23×C7914yes—
1462C4×D4C23×C7914yes—
1463C4×D4C23×C7914yes—
1464C4×D4C23×C7912yes—
1465C4×D4C23×C7914yes—
1466C4×D4C23×C7914yes—
1467C4×D4C23×C7914yes—
1468C4×D4C23×C7914yes—
1469#117C23×C7911yescharacteristic
1470#117C23×C7912yes—
1471#117C23×C7914yes—
1472#117C23×C7914yes—
1473#117C23×C7914yes—
1474#117C23×C7914yes—
1475#117C23×C7914yes—
1476#117C23×C7914yes—
1477#117C23×C7914yes—
1478#117C23×C7914yes—
1479#117C23×C7914yes—
1480#117C23×C7914yes—
1481#117C23×C7914yes—
1482#117C23×C7914yes—
1483#117C23×C7914yes—
1484#117C23×C7914yes—
1485#117C23×C7914yes—
1486C2×C4⋊C4C23×C7914yes—
1487C2×C4⋊C4C23×C7912yes—
1488C2×C4⋊C4C23×C7914yes—
1489C2×C4⋊C4C23×C7914yes—
1490C2×C4⋊C4C23×C7914yes—
1491C2×C4⋊C4C23×C7914yes—
1492C2×C4⋊C4C23×C7914yes—
1493C2×C4⋊C4C23×C7914yes—
1494C2×C22⋊C4C23×C7914yes—
1495C2×C22⋊C4C23×C7914yes—
1496C2×C22⋊C4C23×C7914yes—
1497C2×C22⋊C4C23×C7914yes—
1498C2×C22⋊C4C23×C7914yes—
1499C2×C22⋊C4C23×C7914yes—
1500C2×C22⋊C4C23×C7914yes—
1501C2×C22⋊C4C23×C7914yes—
1502C2×C22⋊C4C23×C7914yes—
1503C2×C22⋊C4C23×C7914yes—
1504C2×C22⋊C4C23×C7914yes—
1505C2×C22⋊C4C23×C7914yes—
1506C2×C22⋊C4C23×C7914yes—
1507C2×C22⋊C4C23×C7914yes—
1508C2×C42C23×C7914yes—
1509C2×C42C23×C7911yescharacteristic
1510C2×C42C23×C7912yes—
1511C24C24×C7914yes—
1512C24C24×C7914yes—
1513C24C24×C7914yes—
1514C24C24×C7914yes—
1515#41—42no—
1516#41—44no—
1517#41—82no—
1518#41—84no—
1519#41—84no—
1520#41—84no—
1521#41—84no—
1522#41—82no—
1523C2×Q8—82no—
1524C2×Q8—82no—
1525C2×Q8C24×C7911yescharacteristic
1526C2×Q8C24×C7912yes—
1527C2×Q8C24×C7912yes—
1528C2×Q8C24×C7912yes—
1529C2×Q8C24×C7914yes—
1530C2×Q8C24×C7914yes—
1531C2×Q8C24×C7914yes—
1532C2×Q8C24×C7912yes—
1533C2×D4—48no—
1534C2×D4—48no—
1535C2×D4—48no—
1536C2×D4—84no—
1537C2×D4—84no—
1538C2×D4—84no—
1539C2×D4—82no—
1540C2×D4—82no—
1541C2×D4—84no—
1542C2×D4—84no—
1543C2×D4—84no—
1544C2×D4C24×C7914yes—
1545C2×D4C24×C7912yes—
1546C2×D4C24×C7914yes—
1547C2×D4C24×C7911yescharacteristic
1548C2×D4C24×C7912yes—
1549C2×D4C24×C7914yes—
1550C2×D4C24×C7914yes—
1551C2×D4C24×C7914yes—
1552C2×D4C24×C7914yes—
1553C2×D4C24×C7914yes—
1554C2×D4C24×C7914yes—
1555C2×D4C24×C7914yes—
1556C2×D4C24×C7912yes—
1557C2×D4C24×C7914yes—
1558C2×D4C24×C7914yes—
1559C2×D4C24×C7914yes—
1560C2×D4C24×C7914yes—
1561C2×D4C24×C7914yes—
1562C2×D4C24×C7914yes—
1563C2×D4C24×C7914yes—
1564C2×D4C24×C7914yes—
1565C2×D4C24×C7914yes—
1566C2×D4C24×C7914yes—
1567C2×D4C24×C7912yes—
1568C2×D4C24×C7912yes—
1569C2×D4C24×C7914yes—
1570C2×D4C24×C7914yes—
1571C2×D4C24×C7914yes—
1572C2×D4C24×C7914yes—
1573C2×D4C24×C7914yes—
1574C2×D4C24×C7914yes—
1575C2×D4C24×C7914yes—
1576C2×D4C24×C7914yes—
1577C2×D4C24×C7914yes—
1578C22×C4—84no—
1579C22×C4—84no—
1580C22×C4C24×C7911yescharacteristic
1581C22×C4C24×C7912yes—
1582C22×C4C24×C7912yes—
1583C22×C4C24×C7914yes—
1584C22×C4C24×C7912yes—
1585C22×C4C24×C7914yes—
1586C22×C4C24×C7912yes—
1587C22×C4C24×C7914yes—
1588C22×C4C24×C7914yes—
1589C22×C4C24×C7914yes—
1590C22×C4C24×C7914yes—
1591C22×C4C24×C7914yes—
1592C22×C4C24×C7914yes—
1593C22×C4C24×C7914yes—
1594C22×C4C24×C7914yes—
1595C22×C4C24×C7914yes—
1596C22×C4C24×C7914yes—
1597C22×C4C24×C7914yes—
1598C22×C4C24×C7914yes—
1599C22×C4C24×C7914yes—
1600C22×C4C24×C7914yes—
1601C22×C4C24×C7914yes—
1602C22×C4C24×C7914yes—
1603C22×C4C24×C7914yes—
1604C22×C4C24×C7914yes—
1605C22×C4C24×C7914yes—
1606C4⋊C4C24×C7912yes—
1607C4⋊C4C24×C7914yes—
1608C4⋊C4C24×C7914yes—
1609C4⋊C4C24×C7914yes—
1610C4⋊C4C24×C7914yes—
1611C4⋊C4C24×C7914yes—
1612C4⋊C4C24×C7914yes—
1613C4⋊C4C24×C7914yes—
1614C4⋊C4C24×C7914yes—
1615C4⋊C4C24×C7914yes—
1616C4⋊C4C24×C7914yes—
1617C4⋊C4C24×C7914yes—
1618C4⋊C4C24×C7914yes—
1619C4⋊C4C24×C7914yes—
1620C4⋊C4C24×C7914yes—
1621C4⋊C4C24×C7914yes—
1622C4⋊C4C24×C7914yes—
1623C4⋊C4C24×C7914yes—
1624C4⋊C4C24×C7914yes—
1625C4⋊C4C24×C7914yes—
1626C4⋊C4C24×C7914yes—
1627C4⋊C4C24×C7914yes—
1628C4⋊C4C24×C7914yes—
1629C4⋊C4C24×C7914yes—
1630C4⋊C4C24×C7912yes—
1631C4⋊C4C24×C7912yes—
1632C4⋊C4C24×C7912yes—
1633C4⋊C4C24×C7914yes—
1634C4⋊C4C24×C7914yes—
1635C4⋊C4C24×C7914yes—
1636C4⋊C4C24×C7914yes—
1637C4⋊C4C24×C7914yes—
1638C4⋊C4C24×C7914yes—
1639C4⋊C4C24×C7914yes—
1640C4⋊C4C24×C7912yes—
1641C4⋊C4C24×C7914yes—
1642C4⋊C4C24×C7914yes—
1643C4⋊C4C24×C7912yes—
1644C4⋊C4C24×C7914yes—
1645C4⋊C4C24×C7914yes—
1646C4⋊C4C24×C7912yes—
1647C22⋊C4C24×C7911yescharacteristic
1648C22⋊C4C24×C7914yes—
1649C22⋊C4C24×C7914yes—
1650C22⋊C4C24×C7914yes—
1651C22⋊C4C24×C7914yes—
1652C22⋊C4C24×C7912yes—
1653C22⋊C4C24×C7914yes—
1654C22⋊C4C24×C7914yes—
1655C22⋊C4C24×C7914yes—
1656C22⋊C4C24×C7914yes—
1657C22⋊C4C24×C7914yes—
1658C22⋊C4C24×C7914yes—
1659C22⋊C4C24×C7914yes—
1660C22⋊C4C24×C7914yes—
1661C22⋊C4C24×C7914yes—
1662C22⋊C4C24×C7914yes—
1663C22⋊C4C24×C7914yes—
1664C22⋊C4C24×C7914yes—
1665C22⋊C4C24×C7914yes—
1666C22⋊C4C24×C7914yes—
1667C22⋊C4C24×C7914yes—
1668C22⋊C4C24×C7914yes—
1669C22⋊C4C24×C7914yes—
1670C22⋊C4C24×C7914yes—
1671C22⋊C4C24×C7914yes—
1672C22⋊C4C24×C7914yes—
1673C22⋊C4C24×C7914yes—
1674C22⋊C4C24×C7914yes—
1675C22⋊C4C24×C7914yes—
1676C22⋊C4C24×C7914yes—
1677C22⋊C4C24×C7914yes—
1678C22⋊C4C24×C7914yes—
1679C22⋊C4C24×C7914yes—
1680C22⋊C4C24×C7914yes—
1681C22⋊C4C24×C7914yes—
1682C22⋊C4C24×C7914yes—
1683C22⋊C4C24×C7914yes—
1684C22⋊C4C24×C7914yes—
1685C22⋊C4C24×C7914yes—
1686C22⋊C4C24×C7914yes—
1687C22⋊C4C24×C7914yes—
1688C22⋊C4C24×C7914yes—
1689C22⋊C4C24×C7914yes—
1690C22⋊C4C24×C7911yescharacteristic
1691C22⋊C4C24×C7912yes—
1692C22⋊C4C24×C7914yes—
1693C22⋊C4C24×C7914yes—
1694C22⋊C4C24×C7914yes—
1695C22⋊C4C24×C7914yes—
1696C22⋊C4C24×C7914yes—
1697C22⋊C4C24×C7914yes—
1698C22⋊C4C24×C7914yes—
1699C22⋊C4C24×C7914yes—
1700C42C24×C7911yescharacteristic
1701C42C24×C7911yescharacteristic
1702C42C24×C7914yes—
1703C42C24×C7914yes—
1704C42C24×C7912yes—
1705C42C24×C7912yes—
1706C42C24×C7914yes—
1707C42C24×C7912yes—
1708C42C24×C7914yes—
1709C42C24×C7912yes—
1710C42C24×C7914yes—
1711C42C24×C7914yes—
1712C42C24×C7914yes—
1713C42C24×C7914yes—
1714C42C24×C7914yes—
1715C23—28no—
1716C23—44no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23C25×C7914yes—
1728C23C25×C7914yes—
1729C23C25×C7914yes—
1730C23C25×C7912yes—
1731C23C25×C7914yes—
1732C23C25×C7911yescharacteristic
1733Q8—42no—
1734Q8—42no—
1735Q8—44no—
1736Q8—44no—
1737Q8—42no—
1738Q8—41no—
1739Q8—42no—
1740Q8—44no—
1741D4—28no—
1742D4—28no—
1743D4—24no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—44no—
1758D4—42no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—42no—
1768D4—44no—
1769D4—42no—
1770D4—44no—
1771D4—41no—
1772D4—42no—
1773D4—44no—
1774D4—44no—
1775C2×C4—22no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4C25×C7912yes—
1802C2×C4C25×C7911yescharacteristic
1803C2×C4C25×C7914yes—
1804C2×C4C25×C7912yes—
1805C2×C4C25×C7912yes—
1806C2×C4C25×C7914yes—
1807C2×C4C25×C7914yes—
1808C2×C4C25×C7912yes—
1809C2×C4C25×C7912yes—
1810C2×C4C25×C7911yescharacteristic
1811C2×C4C25×C7914yes—
1812C2×C4C25×C7914yes—
1813C2×C4C25×C7914yes—
1814C2×C4C25×C7914yes—
1815C2×C4C25×C7914yes—
1816C22—22no—
1817C22—24no—
1818C22—24no—
1819C22—22no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—88no—
1833C22—88no—
1834C22—164no—
1835C22—164no—
1836C22#585×C7912yes—
1837C22C26×C7911yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—24no—
1845C4—24no—
1846C4—24no—
1847C4—24no—
1848C4—24no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—24no—
1853C2—22no—
1854C2—44no—
1855C2—44no—
1856C2—44no—
1857C2—44no—
1858C2—42no—
1859C2C2×#585×C7911yescharacteristic
1860C2C79×H(7,𝔽2)12yes—
subgroupG/H
center, socleC22×C79C26
commutator, Frattini, cosocleC22C26×C79
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#3567C2semidirect
2. C79×#3566C2semidirect
3. C79×#3566C2semidirect
4. C79×#3562C2semidirect
5. C79×#3558C2semidirect
6. C79×#3558C2semidirect
7. C79×#3553C2semidirect
8. C79×#3545C2semidirect
9. C79×#3542C2semidirect
10. C79×#3541C2semidirect
11. C79×#3537C2semidirect
12. C79×#3534C2semidirect
13. C79×#3534C2semidirect
14. C79×#3533C2semidirect
15. C79×#3529C2semidirect
16. C2×#562×C79C2semidirect
17. C79×#3519C2semidirect
18. C79×#3514C2semidirect
19. C79×#3513C2semidirect
20. C79×#3512C2semidirect
21. C79×#3505C2semidirect
22. #564×C79C22semidirect
23. #563×C79C22semidirect
24. #563×C79C22semidirect
25. #563×C79C22semidirect
26. #562×C79C22semidirect
27. #562×C79C22semidirect
28. #562×C79C22semidirect
29. #562×C79C22semidirect
30. #562×C79C22semidirect
31. #562×C79C22semidirect
32. #562×C79C22semidirect
33. #562×C79C22semidirect
34. #562×C79C22semidirect
35. #562×C79C22semidirect
36. #562×C79C22semidirect
37. #562×C79C22semidirect
38. #562×C79C22semidirect
39. H(3,𝔽4)×C79C22semidirect
40. H(3,𝔽4)×C79C22semidirect
41. #560×C79C22semidirect
42. #560×C79C22semidirect
43. #560×C79C22semidirect
44. #560×C79C22semidirect
45. #560×C79C22semidirect
46. #560×C79C22semidirect
47. #559×C79C22semidirect
48. #559×C79C22semidirect
49. #559×C79C22semidirect
50. #556×C79C22semidirect
51. #556×C79C22semidirect
52. #555×C79C22semidirect
53. #555×C79C22semidirect
54. #554×C79C22semidirect
55. #554×C79C22semidirect
56. #553×C79C22semidirect
57. #553×C79C22semidirect
58. #553×C79C22semidirect
59. #553×C79C22semidirect
60. #553×C79C22semidirect
61. #553×C79C22semidirect
62. #553×C79C22semidirect
63. #553×C79C22semidirect
64. #553×C79C22semidirect
65. #553×C79C22semidirect
66. #553×C79C22semidirect
67. #553×C79C22semidirect
68. #553×C79C22semidirect
69. #553×C79C22semidirect
70. #552×C79C22semidirect
71. #552×C79C22semidirect
72. #552×C79C22semidirect
73. #552×C79C22semidirect
74. #552×C79C22semidirect
75. #552×C79C22semidirect
76. #551×C79C22semidirect
77. #551×C79C22semidirect
78. #551×C79C22semidirect
79. #551×C79C22semidirect
80. #551×C79C22semidirect
81. #551×C79C22semidirect
82. #551×C79C22semidirect
83. #551×C79C22semidirect
84. #551×C79C22semidirect
85. #551×C79C22semidirect
86. #550×C79C22semidirect
87. D4×Q8×C79C22semidirect
88. #548×C79C22semidirect
89. #548×C79C22semidirect
90. #548×C79C22semidirect
91. #548×C79C22semidirect
92. #547×C79C22semidirect
93. #547×C79C22semidirect
94. #546×C79C22semidirect
95. #546×C79C22semidirect
96. #546×C79C22semidirect
97. #546×C79C22semidirect
98. #546×C79C22semidirect
99. #546×C79C22semidirect
100. #546×C79C22semidirect
101. #546×C79C22semidirect
102. #546×C79C22semidirect
103. #546×C79C22semidirect
104. #546×C79C22semidirect
105. #546×C79C22semidirect
106. #546×C79C22semidirect
107. #546×C79C22semidirect
108. #546×C79C22semidirect
109. D42×C79C22semidirect
110. D42×C79C22semidirect
111. D42×C79C22semidirect
112. D42×C79C22semidirect
113. D42×C79C22semidirect
114. D42×C79C22semidirect
115. D42×C79C22semidirect
116. #542×C79C22semidirect
117. #542×C79C22semidirect
118. #542×C79C22semidirect
119. #542×C79C22semidirect
120. #542×C79C22semidirect
121. #542×C79C22semidirect
122. #541×C79C22semidirect
123. #541×C79C22semidirect
124. #541×C79C22semidirect
125. #540×C79C22semidirect
126. #540×C79C22semidirect
127. #540×C79C22semidirect
128. #540×C79C22semidirect
129. #540×C79C22semidirect
130. #540×C79C22semidirect
131. #540×C79C22semidirect
132. #540×C79C22semidirect
133. #539×C79C22semidirect
134. #539×C79C22semidirect
135. #539×C79C22semidirect
136. #539×C79C22semidirect
137. #539×C79C22semidirect
138. #539×C79C22semidirect
139. #539×C79C22semidirect
140. #539×C79C22semidirect
141. #539×C79C22semidirect
142. #538×C79C22semidirect
143. #538×C79C22semidirect
144. #538×C79C22semidirect
145. #538×C79C22semidirect
146. #538×C79C22semidirect
147. #538×C79C22semidirect
148. #538×C79C22semidirect
149. #538×C79C22semidirect
150. #538×C79C22semidirect
151. #538×C79C22semidirect
152. #538×C79C22semidirect
153. #538×C79C22semidirect
154. #538×C79C22semidirect
155. #538×C79C22semidirect
156. #538×C79C22semidirect
157. #538×C79C22semidirect
158. #537×C79C22semidirect
159. #537×C79C22semidirect
160. #536×C79C22semidirect
161. #535×C79C22semidirect
162. #535×C79C22semidirect
163. #535×C79C22semidirect
164. #534×C79C22semidirect
165. #534×C79C22semidirect
166. #534×C79C22semidirect
167. #534×C79C22semidirect
168. #534×C79C22semidirect
169. #534×C79C22semidirect
170. #532×C79C22semidirect
171. #532×C79C22semidirect
172. #532×C79C22semidirect
173. #529×C79C22semidirect
174. #529×C79C22semidirect
175. #529×C79C22semidirect
176. #529×C79C22semidirect
177. #529×C79C22semidirect
178. #529×C79C22semidirect
179. #529×C79C22semidirect
180. #529×C79C22semidirect
181. #529×C79C22semidirect
182. #529×C79C22semidirect
183. C2×#125×C79C22semidirect
184. C2×#124×C79C22semidirect
185. C2×#124×C79C22semidirect
186. #525×C79C22semidirect
187. #525×C79C22semidirect
188. #525×C79C22semidirect
189. #525×C79C22semidirect
190. #525×C79C22semidirect
191. #525×C79C22semidirect
192. C2×#123×C79C22semidirect
193. C2×#123×C79C22semidirect
194. C2×C22⋊Q8×C79C22semidirect
195. C2×#121×C79C22semidirect
196. C2×#121×C79C22semidirect
197. C2×#121×C79C22semidirect
198. #520×C79C22semidirect
199. #518×C79C22semidirect
200. #518×C79C22semidirect
201. C4×#41×C79C22semidirect
202. C2×C4×D4×C79C22semidirect
922. #63055C79direct (N × H)
931. #3567C2×C79semidirect
932. #3566C2×C79semidirect
933. #3566C2×C79semidirect
934. #3562C2×C79semidirect
935. #3558C2×C79semidirect
936. #3558C2×C79semidirect
937. #3553C2×C79semidirect
938. #3545C2×C79semidirect
939. #3542C2×C79semidirect
940. #3541C2×C79semidirect
941. #3537C2×C79semidirect
942. #3534C2×C79semidirect
943. #3534C2×C79semidirect
944. #3533C2×C79semidirect
945. #3529C2×C79semidirect
946. C2×#562C2×C79semidirect
947. #3519C2×C79semidirect
948. #3514C2×C79semidirect
949. #3513C2×C79semidirect
950. #3512C2×C79semidirect
951. #3505C2×C79semidirect
952. C79#63055direct (N × H)
953. #564C22×C79semidirect
954. #563C22×C79semidirect
955. #563C22×C79semidirect
956. #563C22×C79semidirect
957. #562C22×C79semidirect
958. #562C22×C79semidirect
959. #562C22×C79semidirect
960. #562C22×C79semidirect
961. #562C22×C79semidirect
962. #562C22×C79semidirect
963. #562C22×C79semidirect
964. #562C22×C79semidirect
965. #562C22×C79semidirect
966. #562C22×C79semidirect
967. #562C22×C79semidirect
968. #562C22×C79semidirect
969. #562C22×C79semidirect
970. H(3,𝔽4)C22×C79semidirect
971. H(3,𝔽4)C22×C79semidirect
972. #560C22×C79semidirect
973. #560C22×C79semidirect
974. #560C22×C79semidirect
975. #560C22×C79semidirect
976. #560C22×C79semidirect
977. #560C22×C79semidirect
978. #559C22×C79semidirect
979. #559C22×C79semidirect
980. #559C22×C79semidirect
981. #556C22×C79semidirect
982. #556C22×C79semidirect
983. #555C22×C79semidirect
984. #555C22×C79semidirect
985. #554C22×C79semidirect
986. #554C22×C79semidirect
987. #553C22×C79semidirect
988. #553C22×C79semidirect
989. #553C22×C79semidirect
990. #553C22×C79semidirect
991. #553C22×C79semidirect
992. #553C22×C79semidirect
993. #553C22×C79semidirect
994. #553C22×C79semidirect
995. #553C22×C79semidirect
996. #553C22×C79semidirect
997. #553C22×C79semidirect
998. #553C22×C79semidirect
999. #553C22×C79semidirect
1000. #553C22×C79semidirect
1001. #552C22×C79semidirect
1002. #552C22×C79semidirect
1003. #552C22×C79semidirect
1004. #552C22×C79semidirect
1005. #552C22×C79semidirect
1006. #552C22×C79semidirect
1007. #551C22×C79semidirect
1008. #551C22×C79semidirect
1009. #551C22×C79semidirect
1010. #551C22×C79semidirect
1011. #551C22×C79semidirect
1012. #551C22×C79semidirect
1013. #551C22×C79semidirect
1014. #551C22×C79semidirect
1015. #551C22×C79semidirect
1016. #551C22×C79semidirect
1017. #550C22×C79semidirect
1018. D4×Q8C22×C79semidirect
1019. #548C22×C79semidirect
1020. #548C22×C79semidirect
1021. #548C22×C79semidirect
1022. #548C22×C79semidirect
1023. #547C22×C79semidirect
1024. #547C22×C79semidirect
1025. #546C22×C79semidirect
1026. #546C22×C79semidirect
1027. #546C22×C79semidirect
1028. #546C22×C79semidirect
1029. #546C22×C79semidirect
1030. #546C22×C79semidirect
1031. #546C22×C79semidirect
1032. #546C22×C79semidirect
1033. #546C22×C79semidirect
1034. #546C22×C79semidirect
1035. #546C22×C79semidirect
1036. #546C22×C79semidirect
1037. #546C22×C79semidirect
1038. #546C22×C79semidirect
1039. #546C22×C79semidirect
1040. D42C22×C79semidirect
1041. D42C22×C79semidirect
1042. D42C22×C79semidirect
1043. D42C22×C79semidirect
1044. D42C22×C79semidirect
1045. D42C22×C79semidirect
1046. D42C22×C79semidirect
1047. #542C22×C79semidirect
1048. #542C22×C79semidirect
1049. #542C22×C79semidirect
1050. #542C22×C79semidirect
1051. #542C22×C79semidirect
1052. #542C22×C79semidirect
1053. #541C22×C79semidirect
1054. #541C22×C79semidirect
1055. #541C22×C79semidirect
1056. #540C22×C79semidirect
1057. #540C22×C79semidirect
1058. #540C22×C79semidirect
1059. #540C22×C79semidirect
1060. #540C22×C79semidirect
1061. #540C22×C79semidirect
1062. #540C22×C79semidirect
1063. #540C22×C79semidirect
1064. #539C22×C79semidirect
1065. #539C22×C79semidirect
1066. #539C22×C79semidirect
1067. #539C22×C79semidirect
1068. #539C22×C79semidirect
1069. #539C22×C79semidirect
1070. #539C22×C79semidirect
1071. #539C22×C79semidirect
1072. #539C22×C79semidirect
1073. #538C22×C79semidirect
1074. #538C22×C79semidirect
1075. #538C22×C79semidirect
1076. #538C22×C79semidirect
1077. #538C22×C79semidirect
1078. #538C22×C79semidirect
1079. #538C22×C79semidirect
1080. #538C22×C79semidirect
1081. #538C22×C79semidirect
1082. #538C22×C79semidirect
1083. #538C22×C79semidirect
1084. #538C22×C79semidirect
1085. #538C22×C79semidirect
1086. #538C22×C79semidirect
1087. #538C22×C79semidirect
1088. #538C22×C79semidirect
1089. #537C22×C79semidirect
1090. #537C22×C79semidirect
1091. #536C22×C79semidirect
1092. #535C22×C79semidirect
1093. #535C22×C79semidirect
1094. #535C22×C79semidirect
1095. #534C22×C79semidirect
1096. #534C22×C79semidirect
1097. #534C22×C79semidirect
1098. #534C22×C79semidirect
1099. #534C22×C79semidirect
1100. #534C22×C79semidirect
1101. #532C22×C79semidirect
1102. #532C22×C79semidirect
1103. #532C22×C79semidirect
1104. #529C22×C79semidirect
1105. #529C22×C79semidirect
1106. #529C22×C79semidirect
1107. #529C22×C79semidirect
1108. #529C22×C79semidirect
1109. #529C22×C79semidirect
1110. #529C22×C79semidirect
1111. #529C22×C79semidirect
1112. #529C22×C79semidirect
1113. #529C22×C79semidirect
1114. C2×#125C22×C79semidirect
1115. C2×#124C22×C79semidirect
1116. C2×#124C22×C79semidirect
1117. #525C22×C79semidirect
1118. #525C22×C79semidirect
1119. #525C22×C79semidirect
1120. #525C22×C79semidirect
1121. #525C22×C79semidirect
1122. #525C22×C79semidirect
1123. C2×#123C22×C79semidirect
1124. C2×#123C22×C79semidirect
1125. C2×C22⋊Q8C22×C79semidirect
1126. C2×#121C22×C79semidirect
1127. C2×#121C22×C79semidirect
1128. C2×#121C22×C79semidirect
1129. #520C22×C79semidirect
1130. #518C22×C79semidirect
1131. #518C22×C79semidirect
1132. C4×#41C22×C79semidirect
1133. C2×C4×D4C22×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#35672
C79×#35662
C79×#35622
C79×#35582
C79×#35532
C79×#35452
C79×#35422
C79×#35412
C79×#35372
C79×#35342
C79×#35332
C79×#35292
C2×#562×C792
C79×#35192
C79×#35142
C79×#35132
C79×#35122
C79×#35052
#6305579