Finite Group Databasebeta

← C79×#62162 #34173851

Subgroups — C79×#62162 #34173851

Order 20224.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3565C211yesmaximal, characteristic, complemented
2C79×#3517C211yesmaximal, characteristic, complemented
3C79×#3390C211yesmaximal, characteristic, complemented
4C79×#3388C211yesmaximal, characteristic, complemented
5C79×#3368C211yesmaximal, characteristic, complemented
6C79×#3366C211yesmaximal, characteristic, complemented
7C79×#3350C211yesmaximal, characteristic, complemented
8C79×#3347C211yesmaximal, characteristic, complemented
9C79×#3345C211yesmaximal, characteristic, complemented
10C79×#3343C211yesmaximal, characteristic, complemented
11C79×#3339C211yesmaximal, characteristic, complemented
12C79×#3337C211yesmaximal, characteristic, complemented
13C79×#3317C211yesmaximal, characteristic, complemented
14C79×#3317C211yesmaximal, characteristic, complemented
15C79×#3309C211yesmaximal, characteristic, complemented
16C79×#3309C211yesmaximal, characteristic, complemented
17C79×#3305C211yesmaximal, characteristic, complemented
18C79×#3304C211yesmaximal, characteristic, complemented
19C79×#3257C211yesmaximal, characteristic, complemented
20C79×#3257C211yesmaximal, characteristic, complemented
21C79×#3247C211yesmaximal, characteristic, complemented
22C79×#3241C211yesmaximal, characteristic, complemented
23C79×#3241C211yesmaximal, characteristic, complemented
24C79×#3235C211yesmaximal, characteristic, complemented
25C79×#3125C211yesmaximal, characteristic, complemented
26C79×#3124C211yesmaximal, characteristic, complemented
27C79×#3111C211yesmaximal, characteristic, complemented
28C79×#3084C211yesmaximal, characteristic, complemented
29C79×#3083C211yesmaximal, characteristic, complemented
30C79×#3076C211yesmaximal, characteristic, complemented
31C79×#2992C211yesmaximal, characteristic, complemented
32#563×C79—21no—
33#562×C79—21no—
34#557×C79C2211yescharacteristic
35#557×C79C2211yescharacteristic
36#556×C79—21no—
37#556×C79C2211yescharacteristic
38#555×C79C2211yescharacteristic
39#554×C79C2211yescharacteristic
40#553×C79—21no—
41#553×C79—21no—
42#553×C79C2211yescharacteristic
43#553×C79C2211yescharacteristic
44#553×C79C2211yescharacteristic
45#553×C79C2211yescharacteristic
46#552×C79—21no—
47#552×C79C2211yescharacteristic
48#552×C79C2211yescharacteristic
49#550×C79—21no—
50#550×C79C2211yescharacteristic
51#550×C79C2211yescharacteristic
52#550×C79C2211yescharacteristic
53#550×C79C2211yescharacteristic
54#547×C79—21no—
55#547×C79C2211yescharacteristic
56#544×C79C2211yescharacteristic
57#544×C79C2211yescharacteristic
58#542×C79—21no—
59#542×C79—21no—
60#542×C79C2211yescharacteristic
61#542×C79C2211yescharacteristic
62#541×C79—21no—
63#540×C79—21no—
64#540×C79—21no—
65#540×C79C2211yescharacteristic
66#540×C79C2211yescharacteristic
67#539×C79—21no—
68#533×C79C2211yescharacteristic
69#532×C79—21no—
70#532×C79C2211yescharacteristic
71#529×C79—21no—
72#529×C79C2211yescharacteristic
73#529×C79C2211yescharacteristic
74#520×C79C2211yescharacteristic
75#520×C79C2211yescharacteristic
76C4×#41×C79C2211yescharacteristic
77#501×C79C2211yescharacteristic
78#501×C79C2211yescharacteristic
79#501×C79C2211yescharacteristic
80#501×C79C2211yescharacteristic
81#499×C79C2211yescharacteristic
82#499×C79C2211yescharacteristic
83#490×C79C2211yescharacteristic
84#490×C79C2211yescharacteristic
85#490×C79C2211yescharacteristic
86#490×C79C2211yescharacteristic
87#486×C79C2211yescharacteristic
88#486×C79C2211yescharacteristic
89#485×C79C2211yescharacteristic
90#484×C79C2211yescharacteristic
91#483×C79C2211yescharacteristic
92#482×C79C2211yescharacteristic
93#482×C79C2211yescharacteristic
94#482×C79C2211yescharacteristic
95#482×C79C2211yescharacteristic
96#482×C79C2211yescharacteristic
97#482×C79C2211yescharacteristic
98#482×C79C2211yescharacteristic
99#482×C79C2211yescharacteristic
100#482×C79C2211yescharacteristic
101#481×C79C2211yescharacteristic
102#481×C79C2211yescharacteristic
103#481×C79C2211yescharacteristic
104#480×C79C2211yescharacteristic
105#480×C79C2211yescharacteristic
106#480×C79C2211yescharacteristic
107#479×C79C2211yescharacteristic
108#479×C79C2211yescharacteristic
109#479×C79C2211yescharacteristic
110#479×C79C2211yescharacteristic
111#479×C79C2211yescharacteristic
112#479×C79C2211yescharacteristic
113#479×C79C2211yescharacteristic
114#478×C79C2211yescharacteristic
115#478×C79C2211yescharacteristic
116#478×C79C2211yescharacteristic
117#478×C79C2211yescharacteristic
118#478×C79C2211yescharacteristic
119#478×C79C2211yescharacteristic
120#478×C79C2211yescharacteristic
121#478×C79C2211yescharacteristic
122#478×C79C2211yescharacteristic
123#477×C79C2211yescharacteristic
124#477×C79C2211yescharacteristic
125#477×C79C2211yescharacteristic
126#476×C79C2211yescharacteristic
127#476×C79C2211yescharacteristic
128#476×C79C2211yescharacteristic
129#476×C79C2211yescharacteristic
130#476×C79C2211yescharacteristic
131#475×C79C2211yescharacteristic
132#475×C79C2211yescharacteristic
133#474×C79C2211yescharacteristic
134#474×C79C2211yescharacteristic
135#474×C79C2211yescharacteristic
136#474×C79C2211yescharacteristic
137#469×C79C2211yescharacteristic
138#469×C79C2211yescharacteristic
139#468×C79C2211yescharacteristic
140#468×C79C2211yescharacteristic
141#466×C79C2211yescharacteristic
142#466×C79C2211yescharacteristic
143#466×C79C2211yescharacteristic
144#466×C79C2211yescharacteristic
145#465×C79C2211yescharacteristic
146#465×C79C2211yescharacteristic
147#465×C79C2211yescharacteristic
148#465×C79C2211yescharacteristic
149#464×C79C2211yescharacteristic
150#463×C79C2211yescharacteristic
151#463×C79C2211yescharacteristic
152#463×C79C2211yescharacteristic
153#460×C79C2211yescharacteristic
154#460×C79C2211yescharacteristic
155#460×C79C2211yescharacteristic
156#459×C79C2211yescharacteristic
157#459×C79C2211yescharacteristic
158#459×C79C2211yescharacteristic
159#452×C79C2211yescharacteristic
160#452×C79C2211yescharacteristic
161#452×C79C2211yescharacteristic
162#449×C79C2211yescharacteristic
163#449×C79C2211yescharacteristic
164#449×C79C2211yescharacteristic
165#446×C79C2211yescharacteristic
166#446×C79C2211yescharacteristic
167#442×C79C2211yescharacteristic
168#442×C79C2211yescharacteristic
169#441×C79C2211yescharacteristic
170#441×C79C2211yescharacteristic
171#440×C79C2211yescharacteristic
172#440×C79C2211yescharacteristic
173#440×C79C2211yescharacteristic
174#440×C79C2211yescharacteristic
175C4×Q16×C79C2211yescharacteristic
176C4×SD16×C79C2211yescharacteristic
177C4×SD16×C79C2211yescharacteristic
178C4×D8×C79C2211yescharacteristic
179#435×C79C2211yescharacteristic
180#435×C79C2211yescharacteristic
181#435×C79C2211yescharacteristic
182#435×C79C2211yescharacteristic
183C8×D4×C79C2211yescharacteristic
184C8×D4×C79C2211yescharacteristic
185#433×C79C2211yescharacteristic
186#433×C79C2211yescharacteristic
187#432×C79C2211yescharacteristic
188#428×C79C2211yescharacteristic
189#428×C79C2211yescharacteristic
190#427×C79C2211yescharacteristic
191#427×C79C2211yescharacteristic
192C2×#107×C79C2211yescharacteristic
193C2×#106×C79C2211yescharacteristic
194#424×C79C2211yescharacteristic
195#424×C79C2211yescharacteristic
196C2×C4⋊C8×C79C2211yescharacteristic
197#417×C79C2211yescharacteristic
198#417×C79C2211yescharacteristic
199#416×C79C2211yescharacteristic
200#416×C79C2211yescharacteristic
201#416×C79C2211yescharacteristic
202#416×C79C2211yescharacteristic
203C2×#41×C79—21no—
204C2×#41×C79—21no—
205C2×#41×C79—21no—
206C2×#41×C79C2311yescharacteristic
207C2×#41×C79C2311yescharacteristic
208C2×#41×C79C2311yescharacteristic
209C2×Q16×C79C2311yescharacteristic
210C2×SD16×C79C2311yescharacteristic
211C2×SD16×C79C2311yescharacteristic
212C2×SD16×C79C2311yescharacteristic
213C2×SD16×C79C2311yescharacteristic
214C2×D8×C79C2311yescharacteristic
215C2×D8×C79C2311yescharacteristic
216C2×D8×C79C2311yescharacteristic
217C2×M16×C79C2311yescharacteristic
218C2×M16×C79C2311yescharacteristic
219C22×C8×C79C2311yescharacteristic
220C22×C8×C79C2311yescharacteristic
221C22×C8×C79C2311yescharacteristic
222C22×C8×C79C2311yescharacteristic
223C4⋊Q8×C79—21no—
224C4⋊Q8×C79—21no—
225C4⋊Q8×C79—21no—
226C4⋊Q8×C79—21no—
227C4⋊Q8×C79C2311yescharacteristic
228C4⋊Q8×C79C2311yescharacteristic
229C4⋊Q8×C79C2311yescharacteristic
230C4⋊Q8×C79C2311yescharacteristic
231C4⋊Q8×C79C2311yescharacteristic
232#127×C79—21no—
233#127×C79—21no—
234#127×C79—21no—
235#127×C79C2311yescharacteristic
236#127×C79C2311yescharacteristic
237#127×C79C2311yescharacteristic
238#126×C79—21no—
239#126×C79—21no—
240#126×C79—21no—
241#126×C79—21no—
242#126×C79—21no—
243#126×C79—21no—
244#126×C79—21no—
245#126×C79—21no—
246#126×C79—21no—
247#126×C79—21no—
248#126×C79—21no—
249#126×C79D411yescharacteristic
250#126×C79D411yescharacteristic
251#125×C79—21no—
252#125×C79—21no—
253#125×C79—21no—
254#125×C79—21no—
255#125×C79—21no—
256#125×C79—21no—
257#125×C79—21no—
258#125×C79—21no—
259#125×C79D411yescharacteristic
260#125×C79C2311yescharacteristic
261#125×C79C2311yescharacteristic
262#125×C79C2311yescharacteristic
263#125×C79C2311yescharacteristic
264#125×C79C2311yescharacteristic
265#125×C79C2311yescharacteristic
266#125×C79C2311yescharacteristic
267#124×C79—21no—
268#124×C79—21no—
269#124×C79—21no—
270#124×C79—21no—
271#124×C79—21no—
272#124×C79—21no—
273#124×C79D411yescharacteristic
274#124×C79C2311yescharacteristic
275#123×C79—21no—
276#123×C79—21no—
277#123×C79—21no—
278#123×C79—21no—
279#123×C79—21no—
280#123×C79—21no—
281#123×C79—21no—
282#123×C79—21no—
283#123×C79—21no—
284#123×C79—21no—
285#123×C79—21no—
286#123×C79—21no—
287#123×C79—21no—
288#123×C79—21no—
289#123×C79—21no—
290#123×C79D411yescharacteristic
291#123×C79D411yescharacteristic
292C22⋊Q8×C79—21no—
293C22⋊Q8×C79—21no—
294C22⋊Q8×C79—21no—
295C22⋊Q8×C79—21no—
296C22⋊Q8×C79—21no—
297C22⋊Q8×C79—21no—
298C22⋊Q8×C79—21no—
299C22⋊Q8×C79—21no—
300C22⋊Q8×C79—21no—
301C22⋊Q8×C79—21no—
302C22⋊Q8×C79—21no—
303C22⋊Q8×C79—21no—
304C22⋊Q8×C79D411yescharacteristic
305C22⋊Q8×C79C2311yescharacteristic
306C22⋊Q8×C79C2311yescharacteristic
307C22⋊Q8×C79C2311yescharacteristic
308#121×C79—21no—
309#121×C79—21no—
310#121×C79—21no—
311#121×C79—21no—
312#121×C79—21no—
313#121×C79—21no—
314#121×C79—21no—
315#121×C79—21no—
316#121×C79—21no—
317#121×C79—21no—
318#121×C79—21no—
319#121×C79—21no—
320#121×C79—21no—
321#121×C79—21no—
322#121×C79—21no—
323#121×C79—21no—
324#121×C79—21no—
325#121×C79—21no—
326#121×C79—21no—
327#121×C79D411yescharacteristic
328#121×C79C2311yescharacteristic
329#121×C79C2311yescharacteristic
330#121×C79C2311yescharacteristic
331#121×C79C2311yescharacteristic
332#121×C79C2311yescharacteristic
333#121×C79C2311yescharacteristic
334#121×C79C2311yescharacteristic
335#121×C79C2311yescharacteristic
336#121×C79C2311yescharacteristic
337C4×Q8×C79—21no—
338C4×Q8×C79—21no—
339C4×Q8×C79—21no—
340C4×Q8×C79—21no—
341C4×Q8×C79—21no—
342C4×Q8×C79C2311yescharacteristic
343C4×Q8×C79C2311yescharacteristic
344C4×Q8×C79C2311yescharacteristic
345C4×Q8×C79C2311yescharacteristic
346C4×Q8×C79C2311yescharacteristic
347C4×Q8×C79C2311yescharacteristic
348C4×Q8×C79C2311yescharacteristic
349C4×Q8×C79C2311yescharacteristic
350C4×D4×C79—21no—
351C4×D4×C79—21no—
352C4×D4×C79—21no—
353C4×D4×C79—21no—
354C4×D4×C79—21no—
355C4×D4×C79—21no—
356C4×D4×C79—21no—
357C4×D4×C79—21no—
358C4×D4×C79—21no—
359C4×D4×C79—21no—
360C4×D4×C79—21no—
361C4×D4×C79—21no—
362C4×D4×C79—21no—
363C4×D4×C79—21no—
364C4×D4×C79—21no—
365C4×D4×C79C2311yescharacteristic
366C4×D4×C79C2311yescharacteristic
367C4×D4×C79C2311yescharacteristic
368C4×D4×C79C2311yescharacteristic
369C4×D4×C79C2311yescharacteristic
370C4×D4×C79C2311yescharacteristic
371C4×D4×C79C2311yescharacteristic
372C4×D4×C79C2311yescharacteristic
373C4×D4×C79C2311yescharacteristic
374C4×D4×C79C2311yescharacteristic
375C4×D4×C79C2311yescharacteristic
376C4×D4×C79C2311yescharacteristic
377#117×C79—21no—
378#117×C79—21no—
379#117×C79—21no—
380#117×C79—21no—
381#117×C79—21no—
382#117×C79—21no—
383#117×C79—21no—
384#117×C79C2311yescharacteristic
385#117×C79C2311yescharacteristic
386#117×C79C2311yescharacteristic
387#117×C79C2311yescharacteristic
388#117×C79C2311yescharacteristic
389#117×C79C2311yescharacteristic
390#117×C79C2311yescharacteristic
391C2×C4⋊C4×C79—21no—
392C2×C4⋊C4×C79—21no—
393C2×C4⋊C4×C79—21no—
394C2×C4⋊C4×C79C2311yescharacteristic
395C2×C4⋊C4×C79C2311yescharacteristic
396C2×C4⋊C4×C79C2311yescharacteristic
397C2×C4⋊C4×C79C2311yescharacteristic
398C2×C42×C79—21no—
399C2×C42×C79C2311yescharacteristic
400#107×C79C2311yescharacteristic
401#107×C79C2311yescharacteristic
402#107×C79C2311yescharacteristic
403#107×C79C2311yescharacteristic
404#107×C79C2311yescharacteristic
405#107×C79C2311yescharacteristic
406#107×C79C2311yescharacteristic
407#107×C79C2311yescharacteristic
408#107×C79C2311yescharacteristic
409#107×C79C2311yescharacteristic
410#107×C79C2311yescharacteristic
411#107×C79C2311yescharacteristic
412#106×C79C2311yescharacteristic
413#106×C79C2311yescharacteristic
414#106×C79C2311yescharacteristic
415#106×C79C2311yescharacteristic
416#106×C79C2311yescharacteristic
417#106×C79C2311yescharacteristic
418#106×C79C2311yescharacteristic
419#106×C79C2311yescharacteristic
420#106×C79C2311yescharacteristic
421#106×C79C2311yescharacteristic
422#106×C79C2311yescharacteristic
423#106×C79C2311yescharacteristic
424C4⋊C8×C79C2311yescharacteristic
425C4⋊C8×C79C2311yescharacteristic
426C4⋊C8×C79C2311yescharacteristic
427C4⋊C8×C79C2311yescharacteristic
428C4⋊C8×C79C2311yescharacteristic
429C4⋊C8×C79C2311yescharacteristic
430C4⋊C8×C79C2311yescharacteristic
431C4⋊C8×C79C2311yescharacteristic
432C4⋊C8×C79C2311yescharacteristic
433C4⋊C8×C79C2311yescharacteristic
434#103×C79C2311yescharacteristic
435#103×C79C2311yescharacteristic
436#103×C79C2311yescharacteristic
437#103×C79C2311yescharacteristic
438#103×C79C2311yescharacteristic
439#103×C79C2311yescharacteristic
440#103×C79C2311yescharacteristic
441#103×C79C2311yescharacteristic
442#103×C79C2311yescharacteristic
443#103×C79C2311yescharacteristic
444#102×C79C2311yescharacteristic
445#102×C79C2311yescharacteristic
446#102×C79C2311yescharacteristic
447#102×C79C2311yescharacteristic
448#102×C79C2311yescharacteristic
449#102×C79C2311yescharacteristic
450#102×C79C2311yescharacteristic
451#102×C79C2311yescharacteristic
452#102×C79C2311yescharacteristic
453#102×C79C2311yescharacteristic
454#102×C79C2311yescharacteristic
455#102×C79C2311yescharacteristic
456#102×C79C2311yescharacteristic
457#102×C79C2311yescharacteristic
458#102×C79C2311yescharacteristic
459#102×C79C2311yescharacteristic
460#102×C79C2311yescharacteristic
461#102×C79C2311yescharacteristic
462#102×C79C2311yescharacteristic
463#102×C79C2311yescharacteristic
464#102×C79C2311yescharacteristic
465#102×C79C2311yescharacteristic
466C22⋊C8×C79C2311yescharacteristic
467C22⋊C8×C79C2311yescharacteristic
468C22⋊C8×C79C2311yescharacteristic
469C22⋊C8×C79C2311yescharacteristic
470C22⋊C8×C79C2311yescharacteristic
471C22⋊C8×C79C2311yescharacteristic
472#97×C79C2311yescharacteristic
473#97×C79C2311yescharacteristic
474#97×C79C2311yescharacteristic
475#97×C79C2311yescharacteristic
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478#41×C79—22no—
479#41×C79—22no—
480#41×C79—22no—
481#41×C79—41no—
482#41×C79—41no—
483#41×C79—41no—
484#41×C79—82no—
485#41×C79—82no—
486#41×C79—82no—
487C2×Q8×C79—21no—
488C2×Q8×C79—21no—
489C2×Q8×C79—21no—
490C2×Q8×C79—21no—
491C2×Q8×C79—21no—
492C2×Q8×C79C2×D411yescharacteristic
493C2×Q8×C79C2411yescharacteristic
494C2×Q8×C79C2411yescharacteristic
495C2×D4×C79—21no—
496C2×D4×C79—21no—
497C2×D4×C79—21no—
498C2×D4×C79—21no—
499C2×D4×C79—21no—
500C2×D4×C79—21no—
501C2×D4×C79—21no—
502C2×D4×C79—21no—
503C2×D4×C79—21no—
504C2×D4×C79—21no—
505C2×D4×C79—21no—
506C2×D4×C79—21no—
507C2×D4×C79—21no—
508C2×D4×C79—21no—
509C2×D4×C79—21no—
510C2×D4×C79—21no—
511C2×D4×C79—21no—
512C2×D4×C79—21no—
513C2×D4×C79C2×D411yescharacteristic
514C2×D4×C79C2×D411yescharacteristic
515C2×D4×C79C2×D411yescharacteristic
516C2×D4×C79C2411yescharacteristic
517C2×D4×C79C2411yescharacteristic
518C2×D4×C79C2411yescharacteristic
519C2×D4×C79C2411yescharacteristic
520C22×C4×C79—21no—
521C22×C4×C79—21no—
522C22×C4×C79—21no—
523C22×C4×C79—21no—
524C22×C4×C79—21no—
525C22×C4×C79—21no—
526C22×C4×C79—21no—
527C22×C4×C79—21no—
528C22×C4×C79—21no—
529C22×C4×C79—21no—
530C22×C4×C79—21no—
531C22×C4×C79—21no—
532C22×C4×C79—21no—
533C22×C4×C79—21no—
534C22×C4×C79—21no—
535C22×C4×C79—21no—
536C22×C4×C79C2×D411yescharacteristic
537C22×C4×C79C2×D411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541Q16×C79—22no—
542SD16×C79—22no—
543SD16×C79—41no—
544SD16×C79—41no—
545SD16×C79—41no—
546D8×C79—41no—
547D8×C79—41no—
548D8×C79—41no—
549M16×C79—41no—
550M16×C79—41no—
551C2×C8×C79—41no—
552C2×C8×C79—41no—
553C2×C8×C79—41no—
554C2×C8×C79—41no—
555C2×C8×C79C2411yescharacteristic
556C2×C8×C79C2411yescharacteristic
557C2×C8×C79C2411yescharacteristic
558C2×C8×C79C2411yescharacteristic
559C2×C8×C79C2411yescharacteristic
560C2×C8×C79C2411yescharacteristic
561C2×C8×C79C2411yescharacteristic
562C2×C8×C79C2411yescharacteristic
563C4⋊C4×C79—21no—
564C4⋊C4×C79—21no—
565C4⋊C4×C79—21no—
566C4⋊C4×C79—21no—
567C4⋊C4×C79—21no—
568C4⋊C4×C79—21no—
569C4⋊C4×C79—21no—
570C4⋊C4×C79—21no—
571C4⋊C4×C79—21no—
572C4⋊C4×C79—21no—
573C4⋊C4×C79—21no—
574C4⋊C4×C79—21no—
575C4⋊C4×C79—21no—
576C4⋊C4×C79—21no—
577C4⋊C4×C79—21no—
578C4⋊C4×C79—21no—
579C4⋊C4×C79—21no—
580C4⋊C4×C79—21no—
581C4⋊C4×C79—21no—
582C4⋊C4×C79—21no—
583C4⋊C4×C79—21no—
584C4⋊C4×C79—21no—
585C4⋊C4×C79—21no—
586C4⋊C4×C79—21no—
587C4⋊C4×C79—21no—
588C4⋊C4×C79—21no—
589C4⋊C4×C79—21no—
590C4⋊C4×C79—21no—
591C4⋊C4×C79—21no—
592C4⋊C4×C79—21no—
593C4⋊C4×C79—21no—
594C4⋊C4×C79—21no—
595C4⋊C4×C79—21no—
596C4⋊C4×C79C2×D411yescharacteristic
597C4⋊C4×C79C2×D411yescharacteristic
598C4⋊C4×C79C2×D411yescharacteristic
599C4⋊C4×C79C2×D411yescharacteristic
600C4⋊C4×C79C2×D411yescharacteristic
601C4⋊C4×C79C2×D411yescharacteristic
602C4⋊C4×C79C2×D411yescharacteristic
603C4⋊C4×C79C2×D411yescharacteristic
604C4⋊C4×C79C2×D411yescharacteristic
605C4⋊C4×C79C2×D411yescharacteristic
606C4⋊C4×C79C2411yescharacteristic
607C4⋊C4×C79C2411yescharacteristic
608C4⋊C4×C79C2411yescharacteristic
609C4⋊C4×C79C2411yescharacteristic
610C4⋊C4×C79C2411yescharacteristic
611C4⋊C4×C79C2411yescharacteristic
612C4⋊C4×C79C2411yescharacteristic
613C4⋊C4×C79C2411yescharacteristic
614C4⋊C4×C79C2411yescharacteristic
615C4⋊C4×C79C2411yescharacteristic
616C22⋊C4×C79—21no—
617C22⋊C4×C79—21no—
618C22⋊C4×C79—21no—
619C22⋊C4×C79—21no—
620C22⋊C4×C79—21no—
621C22⋊C4×C79—21no—
622C22⋊C4×C79—21no—
623C22⋊C4×C79—21no—
624C22⋊C4×C79—21no—
625C22⋊C4×C79—21no—
626C22⋊C4×C79—21no—
627C22⋊C4×C79—21no—
628C22⋊C4×C79—21no—
629C22⋊C4×C79—21no—
630C22⋊C4×C79—21no—
631C22⋊C4×C79—21no—
632C22⋊C4×C79—21no—
633C22⋊C4×C79—21no—
634C22⋊C4×C79—21no—
635C22⋊C4×C79—21no—
636C22⋊C4×C79—21no—
637C22⋊C4×C79—21no—
638C22⋊C4×C79—21no—
639C22⋊C4×C79—21no—
640C22⋊C4×C79—21no—
641C22⋊C4×C79—21no—
642C22⋊C4×C79—21no—
643C22⋊C4×C79—21no—
644C22⋊C4×C79C2×D411yescharacteristic
645C22⋊C4×C79C2×D411yescharacteristic
646C22⋊C4×C79C2×D411yescharacteristic
647C22⋊C4×C79C2×D411yescharacteristic
648C22⋊C4×C79C2×D411yescharacteristic
649C22⋊C4×C79C2×D411yescharacteristic
650C22⋊C4×C79C2×D411yescharacteristic
651C22⋊C4×C79C2×D411yescharacteristic
652C22⋊C4×C79C2×D411yescharacteristic
653C22⋊C4×C79C2×D411yescharacteristic
654C42×C79—21no—
655C42×C79—21no—
656C42×C79—21no—
657C42×C79—21no—
658C42×C79—21no—
659C42×C79—21no—
660C42×C79—21no—
661C42×C79—21no—
662C42×C79—21no—
663C42×C79—21no—
664C42×C79—21no—
665C42×C79—21no—
666C42×C79C2×D411yescharacteristic
667C42×C79C2×D411yescharacteristic
668C42×C79C2411yescharacteristic
669C42×C79C2411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79C22×D411yescharacteristic
677C23×C79C22×D411yescharacteristic
678C23×C79C22×D411yescharacteristic
679Q8×C79—21no—
680Q8×C79—21no—
681Q8×C79—21no—
682Q8×C79—41no—
683Q8×C79—42no—
684Q8×C79—81no—
685Q8×C79—81no—
686Q8×C79—81no—
687Q8×C79—81no—
688Q8×C792−1+412yes—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—21no—
694D4×C79—21no—
695D4×C79—21no—
696D4×C79—21no—
697D4×C79—41no—
698D4×C79—41no—
699D4×C79—41no—
700D4×C79—42no—
701D4×C79—42no—
702D4×C79—42no—
703D4×C79—42no—
704D4×C79—81no—
705D4×C79—81no—
706D4×C79—81no—
707D4×C79—81no—
708D4×C79—81no—
709D4×C79—81no—
710D4×C79—81no—
711D4×C79—81no—
712D4×C79—81no—
713D4×C79—81no—
714D4×C79—81no—
715D4×C79—81no—
716D4×C79—81no—
717D4×C79—81no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—41no—
737C2×C4×C79—41no—
738C2×C4×C79—42no—
739C2×C4×C79—42no—
740C2×C4×C79—42no—
741C2×C4×C79—42no—
742C2×C4×C79—81no—
743C2×C4×C79—81no—
744C2×C4×C79—81no—
745C2×C4×C79—81no—
746C2×C4×C79—81no—
747C2×C4×C79—81no—
748C2×C4×C79—81no—
749C2×C4×C79—81no—
750C2×C4×C79—81no—
751C2×C4×C79—81no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79C22×D411yescharacteristic
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C2511yescharacteristic
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C8×C79—21no—
771C8×C79—21no—
772C8×C79—21no—
773C8×C79—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—21no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—21no—
782C22×C79—21no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79C23×D411yescharacteristic
796C4×C79—21no—
797C4×C79—21no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—21no—
804C4×C79—21no—
805C4×C79—21no—
806C4×C79—21no—
807C4×C79—22no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816C4×C79—41no—
817C4×C79—41no—
818C4×C79—41no—
819C4×C79C2×2−1+411yescharacteristic
820C4×C79#58511yescharacteristic
821#62162C7911yesmaximal, characteristic, direct product factor, Sylow
822C2×C79—41no—
823C2×C79—41no—
824C2×C79—41no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79—81no—
828C2×C79—81no—
829C2×C79#348911yescharacteristic
830C2×C79#358411yescharacteristic
831C2×C79#358511yescharacteristic
832#3565C2×C7911yescharacteristic, complemented
833#3517C2×C7911yescharacteristic, complemented
834#3390C2×C7911yescharacteristic, complemented
835#3388C2×C7911yescharacteristic, complemented
836#3368C2×C7911yescharacteristic, complemented
837#3366C2×C7911yescharacteristic, complemented
838#3350C2×C7911yescharacteristic, complemented
839#3347C2×C7911yescharacteristic, complemented
840#3345C2×C7911yescharacteristic, complemented
841#3343C2×C7911yescharacteristic, complemented
842#3339C2×C7911yescharacteristic, complemented
843#3337C2×C7911yescharacteristic, complemented
844#3317C2×C7911yescharacteristic, complemented
845#3317C2×C7911yescharacteristic, complemented
846#3309C2×C7911yescharacteristic, complemented
847#3309C2×C7911yescharacteristic, complemented
848#3305C2×C7911yescharacteristic, complemented
849#3304C2×C7911yescharacteristic, complemented
850#3257C2×C7911yescharacteristic, complemented
851#3257C2×C7911yescharacteristic, complemented
852#3247C2×C7911yescharacteristic, complemented
853#3241C2×C7911yescharacteristic, complemented
854#3241C2×C7911yescharacteristic, complemented
855#3235C2×C7911yescharacteristic, complemented
856#3125C2×C7911yescharacteristic, complemented
857#3124C2×C7911yescharacteristic, complemented
858#3111C2×C7911yescharacteristic, complemented
859#3084C2×C7911yescharacteristic, complemented
860#3083C2×C7911yescharacteristic, complemented
861#3076C2×C7911yescharacteristic, complemented
862#2992C2×C7911yescharacteristic, complemented
863C79#6216211yescharacteristic, direct product factor, Sylow
864#563—21no—
865#562—21no—
866#557C22×C7911yescharacteristic
867#557C22×C7911yescharacteristic
868#556—21no—
869#556C22×C7911yescharacteristic
870#555C22×C7911yescharacteristic
871#554C22×C7911yescharacteristic
872#553—21no—
873#553—21no—
874#553C22×C7911yescharacteristic
875#553C22×C7911yescharacteristic
876#553C22×C7911yescharacteristic
877#553C22×C7911yescharacteristic
878#552—21no—
879#552C22×C7911yescharacteristic
880#552C22×C7911yescharacteristic
881#550—21no—
882#550C22×C7911yescharacteristic
883#550C22×C7911yescharacteristic
884#550C22×C7911yescharacteristic
885#550C22×C7911yescharacteristic
886#547—21no—
887#547C22×C7911yescharacteristic
888#544C22×C7911yescharacteristic
889#544C22×C7911yescharacteristic
890#542—21no—
891#542—21no—
892#542C22×C7911yescharacteristic
893#542C22×C7911yescharacteristic
894#541—21no—
895#540—21no—
896#540—21no—
897#540C22×C7911yescharacteristic
898#540C22×C7911yescharacteristic
899#539—21no—
900#533C22×C7911yescharacteristic
901#532—21no—
902#532C22×C7911yescharacteristic
903#529—21no—
904#529C22×C7911yescharacteristic
905#529C22×C7911yescharacteristic
906#520C22×C7911yescharacteristic
907#520C22×C7911yescharacteristic
908C4×#41C22×C7911yescharacteristic
909#501C22×C7911yescharacteristic
910#501C22×C7911yescharacteristic
911#501C22×C7911yescharacteristic
912#501C22×C7911yescharacteristic
913#499C22×C7911yescharacteristic
914#499C22×C7911yescharacteristic
915#490C22×C7911yescharacteristic
916#490C22×C7911yescharacteristic
917#490C22×C7911yescharacteristic
918#490C22×C7911yescharacteristic
919#486C22×C7911yescharacteristic
920#486C22×C7911yescharacteristic
921#485C22×C7911yescharacteristic
922#484C22×C7911yescharacteristic
923#483C22×C7911yescharacteristic
924#482C22×C7911yescharacteristic
925#482C22×C7911yescharacteristic
926#482C22×C7911yescharacteristic
927#482C22×C7911yescharacteristic
928#482C22×C7911yescharacteristic
929#482C22×C7911yescharacteristic
930#482C22×C7911yescharacteristic
931#482C22×C7911yescharacteristic
932#482C22×C7911yescharacteristic
933#481C22×C7911yescharacteristic
934#481C22×C7911yescharacteristic
935#481C22×C7911yescharacteristic
936#480C22×C7911yescharacteristic
937#480C22×C7911yescharacteristic
938#480C22×C7911yescharacteristic
939#479C22×C7911yescharacteristic
940#479C22×C7911yescharacteristic
941#479C22×C7911yescharacteristic
942#479C22×C7911yescharacteristic
943#479C22×C7911yescharacteristic
944#479C22×C7911yescharacteristic
945#479C22×C7911yescharacteristic
946#478C22×C7911yescharacteristic
947#478C22×C7911yescharacteristic
948#478C22×C7911yescharacteristic
949#478C22×C7911yescharacteristic
950#478C22×C7911yescharacteristic
951#478C22×C7911yescharacteristic
952#478C22×C7911yescharacteristic
953#478C22×C7911yescharacteristic
954#478C22×C7911yescharacteristic
955#477C22×C7911yescharacteristic
956#477C22×C7911yescharacteristic
957#477C22×C7911yescharacteristic
958#476C22×C7911yescharacteristic
959#476C22×C7911yescharacteristic
960#476C22×C7911yescharacteristic
961#476C22×C7911yescharacteristic
962#476C22×C7911yescharacteristic
963#475C22×C7911yescharacteristic
964#475C22×C7911yescharacteristic
965#474C22×C7911yescharacteristic
966#474C22×C7911yescharacteristic
967#474C22×C7911yescharacteristic
968#474C22×C7911yescharacteristic
969#469C22×C7911yescharacteristic
970#469C22×C7911yescharacteristic
971#468C22×C7911yescharacteristic
972#468C22×C7911yescharacteristic
973#466C22×C7911yescharacteristic
974#466C22×C7911yescharacteristic
975#466C22×C7911yescharacteristic
976#466C22×C7911yescharacteristic
977#465C22×C7911yescharacteristic
978#465C22×C7911yescharacteristic
979#465C22×C7911yescharacteristic
980#465C22×C7911yescharacteristic
981#464C22×C7911yescharacteristic
982#463C22×C7911yescharacteristic
983#463C22×C7911yescharacteristic
984#463C22×C7911yescharacteristic
985#460C22×C7911yescharacteristic
986#460C22×C7911yescharacteristic
987#460C22×C7911yescharacteristic
988#459C22×C7911yescharacteristic
989#459C22×C7911yescharacteristic
990#459C22×C7911yescharacteristic
991#452C22×C7911yescharacteristic
992#452C22×C7911yescharacteristic
993#452C22×C7911yescharacteristic
994#449C22×C7911yescharacteristic
995#449C22×C7911yescharacteristic
996#449C22×C7911yescharacteristic
997#446C22×C7911yescharacteristic
998#446C22×C7911yescharacteristic
999#442C22×C7911yescharacteristic
1000#442C22×C7911yescharacteristic
1001#441C22×C7911yescharacteristic
1002#441C22×C7911yescharacteristic
1003#440C22×C7911yescharacteristic
1004#440C22×C7911yescharacteristic
1005#440C22×C7911yescharacteristic
1006#440C22×C7911yescharacteristic
1007C4×Q16C22×C7911yescharacteristic
1008C4×SD16C22×C7911yescharacteristic
1009C4×SD16C22×C7911yescharacteristic
1010C4×D8C22×C7911yescharacteristic
1011#435C22×C7911yescharacteristic
1012#435C22×C7911yescharacteristic
1013#435C22×C7911yescharacteristic
1014#435C22×C7911yescharacteristic
1015C8×D4C22×C7911yescharacteristic
1016C8×D4C22×C7911yescharacteristic
1017#433C22×C7911yescharacteristic
1018#433C22×C7911yescharacteristic
1019#432C22×C7911yescharacteristic
1020#428C22×C7911yescharacteristic
1021#428C22×C7911yescharacteristic
1022#427C22×C7911yescharacteristic
1023#427C22×C7911yescharacteristic
1024C2×#107C22×C7911yescharacteristic
1025C2×#106C22×C7911yescharacteristic
1026#424C22×C7911yescharacteristic
1027#424C22×C7911yescharacteristic
1028C2×C4⋊C8C22×C7911yescharacteristic
1029#417C22×C7911yescharacteristic
1030#417C22×C7911yescharacteristic
1031#416C22×C7911yescharacteristic
1032#416C22×C7911yescharacteristic
1033#416C22×C7911yescharacteristic
1034#416C22×C7911yescharacteristic
1035C2×#41—21no—
1036C2×#41—21no—
1037C2×#41—21no—
1038C2×#41C23×C7911yescharacteristic
1039C2×#41C23×C7911yescharacteristic
1040C2×#41C23×C7911yescharacteristic
1041C2×Q16C23×C7911yescharacteristic
1042C2×SD16C23×C7911yescharacteristic
1043C2×SD16C23×C7911yescharacteristic
1044C2×SD16C23×C7911yescharacteristic
1045C2×SD16C23×C7911yescharacteristic
1046C2×D8C23×C7911yescharacteristic
1047C2×D8C23×C7911yescharacteristic
1048C2×D8C23×C7911yescharacteristic
1049C2×M16C23×C7911yescharacteristic
1050C2×M16C23×C7911yescharacteristic
1051C22×C8C23×C7911yescharacteristic
1052C22×C8C23×C7911yescharacteristic
1053C22×C8C23×C7911yescharacteristic
1054C22×C8C23×C7911yescharacteristic
1055C4⋊Q8—21no—
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8C23×C7911yescharacteristic
1060C4⋊Q8C23×C7911yescharacteristic
1061C4⋊Q8C23×C7911yescharacteristic
1062C4⋊Q8C23×C7911yescharacteristic
1063C4⋊Q8C23×C7911yescharacteristic
1064#127—21no—
1065#127—21no—
1066#127—21no—
1067#127C23×C7911yescharacteristic
1068#127C23×C7911yescharacteristic
1069#127C23×C7911yescharacteristic
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126D4×C7911yescharacteristic
1082#126D4×C7911yescharacteristic
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125D4×C7911yescharacteristic
1092#125C23×C7911yescharacteristic
1093#125C23×C7911yescharacteristic
1094#125C23×C7911yescharacteristic
1095#125C23×C7911yescharacteristic
1096#125C23×C7911yescharacteristic
1097#125C23×C7911yescharacteristic
1098#125C23×C7911yescharacteristic
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124D4×C7911yescharacteristic
1106#124C23×C7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123D4×C7911yescharacteristic
1123#123D4×C7911yescharacteristic
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8D4×C7911yescharacteristic
1137C22⋊Q8C23×C7911yescharacteristic
1138C22⋊Q8C23×C7911yescharacteristic
1139C22⋊Q8C23×C7911yescharacteristic
1140#121—21no—
1141#121—21no—
1142#121—21no—
1143#121—21no—
1144#121—21no—
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C7911yescharacteristic
1160#121C23×C7911yescharacteristic
1161#121C23×C7911yescharacteristic
1162#121C23×C7911yescharacteristic
1163#121C23×C7911yescharacteristic
1164#121C23×C7911yescharacteristic
1165#121C23×C7911yescharacteristic
1166#121C23×C7911yescharacteristic
1167#121C23×C7911yescharacteristic
1168#121C23×C7911yescharacteristic
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8C23×C7911yescharacteristic
1175C4×Q8C23×C7911yescharacteristic
1176C4×Q8C23×C7911yescharacteristic
1177C4×Q8C23×C7911yescharacteristic
1178C4×Q8C23×C7911yescharacteristic
1179C4×Q8C23×C7911yescharacteristic
1180C4×Q8C23×C7911yescharacteristic
1181C4×Q8C23×C7911yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4C23×C7911yescharacteristic
1198C4×D4C23×C7911yescharacteristic
1199C4×D4C23×C7911yescharacteristic
1200C4×D4C23×C7911yescharacteristic
1201C4×D4C23×C7911yescharacteristic
1202C4×D4C23×C7911yescharacteristic
1203C4×D4C23×C7911yescharacteristic
1204C4×D4C23×C7911yescharacteristic
1205C4×D4C23×C7911yescharacteristic
1206C4×D4C23×C7911yescharacteristic
1207C4×D4C23×C7911yescharacteristic
1208C4×D4C23×C7911yescharacteristic
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117C23×C7911yescharacteristic
1217#117C23×C7911yescharacteristic
1218#117C23×C7911yescharacteristic
1219#117C23×C7911yescharacteristic
1220#117C23×C7911yescharacteristic
1221#117C23×C7911yescharacteristic
1222#117C23×C7911yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4C23×C7911yescharacteristic
1227C2×C4⋊C4C23×C7911yescharacteristic
1228C2×C4⋊C4C23×C7911yescharacteristic
1229C2×C4⋊C4C23×C7911yescharacteristic
1230C2×C42—21no—
1231C2×C42C23×C7911yescharacteristic
1232#107C23×C7911yescharacteristic
1233#107C23×C7911yescharacteristic
1234#107C23×C7911yescharacteristic
1235#107C23×C7911yescharacteristic
1236#107C23×C7911yescharacteristic
1237#107C23×C7911yescharacteristic
1238#107C23×C7911yescharacteristic
1239#107C23×C7911yescharacteristic
1240#107C23×C7911yescharacteristic
1241#107C23×C7911yescharacteristic
1242#107C23×C7911yescharacteristic
1243#107C23×C7911yescharacteristic
1244#106C23×C7911yescharacteristic
1245#106C23×C7911yescharacteristic
1246#106C23×C7911yescharacteristic
1247#106C23×C7911yescharacteristic
1248#106C23×C7911yescharacteristic
1249#106C23×C7911yescharacteristic
1250#106C23×C7911yescharacteristic
1251#106C23×C7911yescharacteristic
1252#106C23×C7911yescharacteristic
1253#106C23×C7911yescharacteristic
1254#106C23×C7911yescharacteristic
1255#106C23×C7911yescharacteristic
1256C4⋊C8C23×C7911yescharacteristic
1257C4⋊C8C23×C7911yescharacteristic
1258C4⋊C8C23×C7911yescharacteristic
1259C4⋊C8C23×C7911yescharacteristic
1260C4⋊C8C23×C7911yescharacteristic
1261C4⋊C8C23×C7911yescharacteristic
1262C4⋊C8C23×C7911yescharacteristic
1263C4⋊C8C23×C7911yescharacteristic
1264C4⋊C8C23×C7911yescharacteristic
1265C4⋊C8C23×C7911yescharacteristic
1266#103C23×C7911yescharacteristic
1267#103C23×C7911yescharacteristic
1268#103C23×C7911yescharacteristic
1269#103C23×C7911yescharacteristic
1270#103C23×C7911yescharacteristic
1271#103C23×C7911yescharacteristic
1272#103C23×C7911yescharacteristic
1273#103C23×C7911yescharacteristic
1274#103C23×C7911yescharacteristic
1275#103C23×C7911yescharacteristic
1276#102C23×C7911yescharacteristic
1277#102C23×C7911yescharacteristic
1278#102C23×C7911yescharacteristic
1279#102C23×C7911yescharacteristic
1280#102C23×C7911yescharacteristic
1281#102C23×C7911yescharacteristic
1282#102C23×C7911yescharacteristic
1283#102C23×C7911yescharacteristic
1284#102C23×C7911yescharacteristic
1285#102C23×C7911yescharacteristic
1286#102C23×C7911yescharacteristic
1287#102C23×C7911yescharacteristic
1288#102C23×C7911yescharacteristic
1289#102C23×C7911yescharacteristic
1290#102C23×C7911yescharacteristic
1291#102C23×C7911yescharacteristic
1292#102C23×C7911yescharacteristic
1293#102C23×C7911yescharacteristic
1294#102C23×C7911yescharacteristic
1295#102C23×C7911yescharacteristic
1296#102C23×C7911yescharacteristic
1297#102C23×C7911yescharacteristic
1298C22⋊C8C23×C7911yescharacteristic
1299C22⋊C8C23×C7911yescharacteristic
1300C22⋊C8C23×C7911yescharacteristic
1301C22⋊C8C23×C7911yescharacteristic
1302C22⋊C8C23×C7911yescharacteristic
1303C22⋊C8C23×C7911yescharacteristic
1304#97C23×C7911yescharacteristic
1305#97C23×C7911yescharacteristic
1306#97C23×C7911yescharacteristic
1307#97C23×C7911yescharacteristic
1308C4×C8C23×C7911yescharacteristic
1309C4×C8C23×C7911yescharacteristic
1310#41—22no—
1311#41—22no—
1312#41—22no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—82no—
1317#41—82no—
1318#41—82no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8C2×D4×C7911yescharacteristic
1325C2×Q8C24×C7911yescharacteristic
1326C2×Q8C24×C7911yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4C2×D4×C7911yescharacteristic
1346C2×D4C2×D4×C7911yescharacteristic
1347C2×D4C2×D4×C7911yescharacteristic
1348C2×D4C24×C7911yescharacteristic
1349C2×D4C24×C7911yescharacteristic
1350C2×D4C24×C7911yescharacteristic
1351C2×D4C24×C7911yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4C2×D4×C7911yescharacteristic
1369C22×C4C2×D4×C7911yescharacteristic
1370C22×C4C24×C7911yescharacteristic
1371C22×C4C24×C7911yescharacteristic
1372C22×C4C24×C7911yescharacteristic
1373Q16—22no—
1374SD16—22no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378D8—41no—
1379D8—41no—
1380D8—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C24×C7911yescharacteristic
1388C2×C8C24×C7911yescharacteristic
1389C2×C8C24×C7911yescharacteristic
1390C2×C8C24×C7911yescharacteristic
1391C2×C8C24×C7911yescharacteristic
1392C2×C8C24×C7911yescharacteristic
1393C2×C8C24×C7911yescharacteristic
1394C2×C8C24×C7911yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4C2×D4×C7911yescharacteristic
1429C4⋊C4C2×D4×C7911yescharacteristic
1430C4⋊C4C2×D4×C7911yescharacteristic
1431C4⋊C4C2×D4×C7911yescharacteristic
1432C4⋊C4C2×D4×C7911yescharacteristic
1433C4⋊C4C2×D4×C7911yescharacteristic
1434C4⋊C4C2×D4×C7911yescharacteristic
1435C4⋊C4C2×D4×C7911yescharacteristic
1436C4⋊C4C2×D4×C7911yescharacteristic
1437C4⋊C4C2×D4×C7911yescharacteristic
1438C4⋊C4C24×C7911yescharacteristic
1439C4⋊C4C24×C7911yescharacteristic
1440C4⋊C4C24×C7911yescharacteristic
1441C4⋊C4C24×C7911yescharacteristic
1442C4⋊C4C24×C7911yescharacteristic
1443C4⋊C4C24×C7911yescharacteristic
1444C4⋊C4C24×C7911yescharacteristic
1445C4⋊C4C24×C7911yescharacteristic
1446C4⋊C4C24×C7911yescharacteristic
1447C4⋊C4C24×C7911yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4C2×D4×C7911yescharacteristic
1477C22⋊C4C2×D4×C7911yescharacteristic
1478C22⋊C4C2×D4×C7911yescharacteristic
1479C22⋊C4C2×D4×C7911yescharacteristic
1480C22⋊C4C2×D4×C7911yescharacteristic
1481C22⋊C4C2×D4×C7911yescharacteristic
1482C22⋊C4C2×D4×C7911yescharacteristic
1483C22⋊C4C2×D4×C7911yescharacteristic
1484C22⋊C4C2×D4×C7911yescharacteristic
1485C22⋊C4C2×D4×C7911yescharacteristic
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42C2×D4×C7911yescharacteristic
1499C42C2×D4×C7911yescharacteristic
1500C42C24×C7911yescharacteristic
1501C42C24×C7911yescharacteristic
1502C42C24×C7911yescharacteristic
1503C42C24×C7911yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23C22×D4×C7911yescharacteristic
1509C23C22×D4×C7911yescharacteristic
1510C23C22×D4×C7911yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—41no—
1515Q8—42no—
1516Q8—81no—
1517Q8—81no—
1518Q8—81no—
1519Q8—81no—
1520Q82−1+4×C7912yes—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—42no—
1533D4—42no—
1534D4—42no—
1535D4—42no—
1536D4—81no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4C22×D4×C7911yescharacteristic
1587C2×C4C22×D4×C7911yescharacteristic
1588C2×C4C22×D4×C7911yescharacteristic
1589C2×C4C22×D4×C7911yescharacteristic
1590C2×C4C22×D4×C7911yescharacteristic
1591C2×C4C22×D4×C7911yescharacteristic
1592C2×C4C22×D4×C7911yescharacteristic
1593C2×C4C22×D4×C7911yescharacteristic
1594C2×C4C22×D4×C7911yescharacteristic
1595C2×C4C22×D4×C7911yescharacteristic
1596C2×C4C22×D4×C7911yescharacteristic
1597C2×C4C25×C7911yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22C23×D4×C7911yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4C2×2−1+4×C7911yescharacteristic
1652C4#585×C7911yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—41no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C79×#348911yescharacteristic
1661C2C79×#358411yescharacteristic
1662C2C79×#358511yescharacteristic
subgroupG/H
center, socleC22×C79C23×D4
commutator, Frattini, cosocleC2×C4C25×C79
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C79 ◁ #529×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#3565C2semidirect
2. C79×#3517C2semidirect
3. C79×#3390C2semidirect
4. C79×#3388C2semidirect
5. C79×#3368C2semidirect
6. C79×#3366C2semidirect
7. C79×#3350C2semidirect
8. C79×#3347C2semidirect
9. C79×#3345C2semidirect
10. C79×#3343C2semidirect
11. C79×#3339C2semidirect
12. C79×#3337C2semidirect
13. C79×#3317C2semidirect
14. C79×#3317C2semidirect
15. C79×#3309C2semidirect
16. C79×#3309C2semidirect
17. C79×#3305C2semidirect
18. C79×#3304C2semidirect
19. C79×#3257C2semidirect
20. C79×#3257C2semidirect
21. C79×#3247C2semidirect
22. C79×#3241C2semidirect
23. C79×#3241C2semidirect
24. C79×#3235C2semidirect
25. C79×#3125C2semidirect
26. C79×#3124C2semidirect
27. C79×#3111C2semidirect
28. C79×#3084C2semidirect
29. C79×#3083C2semidirect
30. C79×#3076C2semidirect
31. C79×#2992C2semidirect
821. #62162C79direct (N × H)
832. #3565C2×C79semidirect
833. #3517C2×C79semidirect
834. #3390C2×C79semidirect
835. #3388C2×C79semidirect
836. #3368C2×C79semidirect
837. #3366C2×C79semidirect
838. #3350C2×C79semidirect
839. #3347C2×C79semidirect
840. #3345C2×C79semidirect
841. #3343C2×C79semidirect
842. #3339C2×C79semidirect
843. #3337C2×C79semidirect
844. #3317C2×C79semidirect
845. #3317C2×C79semidirect
846. #3309C2×C79semidirect
847. #3309C2×C79semidirect
848. #3305C2×C79semidirect
849. #3304C2×C79semidirect
850. #3257C2×C79semidirect
851. #3257C2×C79semidirect
852. #3247C2×C79semidirect
853. #3241C2×C79semidirect
854. #3241C2×C79semidirect
855. #3235C2×C79semidirect
856. #3125C2×C79semidirect
857. #3124C2×C79semidirect
858. #3111C2×C79semidirect
859. #3084C2×C79semidirect
860. #3083C2×C79semidirect
861. #3076C2×C79semidirect
862. #2992C2×C79semidirect
863. C79#62162direct (N × H)

Maximal subgroups

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

subgroupindex
C79×#35652
C79×#35172
C79×#33902
C79×#33882
C79×#33682
C79×#33662
C79×#33502
C79×#33472
C79×#33452
C79×#33432
C79×#33392
C79×#33372
C79×#33172
C79×#33092
C79×#33052
C79×#33042
C79×#32572
C79×#32472
C79×#32412
C79×#32352
C79×#31252
C79×#31242
C79×#31112
C79×#30842
C79×#30832
C79×#30762
C79×#29922
#6216279