Finite Group Databasebeta

← C79×#61768 #34173457

Subgroups — C79×#61768 #34173457

Order 20224.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3539C211yesmaximal, characteristic, complemented
2C79×#3493C211yesmaximal, characteristic, complemented
3C79×#3350C211yesmaximal, characteristic, complemented
4C79×#3349C211yesmaximal, characteristic, complemented
5C79×#3348C211yesmaximal, characteristic, complemented
6C79×#3347C211yesmaximal, characteristic, complemented
7C79×#3339C211yesmaximal, characteristic, complemented
8C79×#3337C211yesmaximal, characteristic, complemented
9C79×#3337C211yesmaximal, characteristic, complemented
10C79×#3336C211yesmaximal, characteristic, complemented
11C79×#3317C211yesmaximal, characteristic, complemented
12C79×#3315C211yesmaximal, characteristic, complemented
13C79×#3309C211yesmaximal, characteristic, complemented
14C79×#3307C211yesmaximal, characteristic, complemented
15C79×#3305C211yesmaximal, characteristic, complemented
16C79×#3304C211yesmaximal, characteristic, complemented
17C79×#3303C211yesmaximal, characteristic, complemented
18C79×#3302C211yesmaximal, characteristic, complemented
19C79×#3242C211yesmaximal, characteristic, complemented
20C79×#3241C211yesmaximal, characteristic, complemented
21C79×#3204C211yesmaximal, characteristic, complemented
22C79×#3203C211yesmaximal, characteristic, complemented
23C79×#3191C211yesmaximal, characteristic, complemented
24C79×#3191C211yesmaximal, characteristic, complemented
25C79×#3120C211yesmaximal, characteristic, complemented
26C79×#3119C211yesmaximal, characteristic, complemented
27C79×#3099C211yesmaximal, characteristic, complemented
28C79×#3098C211yesmaximal, characteristic, complemented
29C79×#3091C211yesmaximal, characteristic, complemented
30C79×#3091C211yesmaximal, characteristic, complemented
31C79×#2977C211yesmaximal, characteristic, complemented
32#560×C79—21no—
33#560×C79—21no—
34#556×C79—21no—
35#556×C79C2211yescharacteristic
36#556×C79C2211yescharacteristic
37#555×C79—21no—
38#555×C79C2211yescharacteristic
39#555×C79C2211yescharacteristic
40#553×C79—21no—
41#553×C79—21no—
42#553×C79—21no—
43#553×C79C2211yescharacteristic
44#553×C79C2211yescharacteristic
45#553×C79C2211yescharacteristic
46#553×C79C2211yescharacteristic
47#552×C79—21no—
48#552×C79C2211yescharacteristic
49#552×C79C2211yescharacteristic
50#552×C79C2211yescharacteristic
51#552×C79C2211yescharacteristic
52#550×C79C2211yescharacteristic
53#550×C79C2211yescharacteristic
54#547×C79C2211yescharacteristic
55#547×C79C2211yescharacteristic
56#544×C79C2211yescharacteristic
57#541×C79C2211yescharacteristic
58#540×C79—21no—
59#540×C79—21no—
60#540×C79C2211yescharacteristic
61#539×C79—21no—
62#539×C79—21no—
63#538×C79—21no—
64#538×C79—21no—
65#537×C79C2211yescharacteristic
66#537×C79C2211yescharacteristic
67#537×C79C2211yescharacteristic
68#529×C79—21no—
69#529×C79—21no—
70#525×C79C2211yescharacteristic
71#525×C79C2211yescharacteristic
72#525×C79C2211yescharacteristic
73#525×C79C2211yescharacteristic
74#520×C79C2211yescharacteristic
75#520×C79C2211yescharacteristic
76C2×#117×C79C2211yescharacteristic
77#501×C79C2211yescharacteristic, complemented
78#501×C79C2211yescharacteristic, complemented
79#499×C79C2211yescharacteristic, complemented
80#499×C79C2211yescharacteristic, complemented
81#491×C79C2211yescharacteristic, complemented
82#490×C79C2211yescharacteristic, complemented
83#487×C79C2211yescharacteristic, complemented
84#486×C79C2211yescharacteristic, complemented
85#485×C79C2211yescharacteristic
86#485×C79C2211yescharacteristic
87#485×C79C2211yescharacteristic
88#485×C79C2211yescharacteristic
89#485×C79C2211yescharacteristic
90#485×C79C2211yescharacteristic
91#485×C79C2211yescharacteristic
92#485×C79C2211yescharacteristic
93#485×C79C2211yescharacteristic, complemented
94#485×C79C2211yescharacteristic, complemented
95#484×C79C2211yescharacteristic
96#484×C79C2211yescharacteristic
97#484×C79C2211yescharacteristic, complemented
98#484×C79C2211yescharacteristic, complemented
99#483×C79C2211yescharacteristic
100#483×C79C2211yescharacteristic
101#483×C79C2211yescharacteristic, complemented
102#483×C79C2211yescharacteristic, complemented
103#482×C79C2211yescharacteristic
104#482×C79C2211yescharacteristic
105#482×C79C2211yescharacteristic
106#482×C79C2211yescharacteristic
107#482×C79C2211yescharacteristic
108#482×C79C2211yescharacteristic
109#482×C79C2211yescharacteristic
110#482×C79C2211yescharacteristic
111#482×C79C2211yescharacteristic, complemented
112#482×C79C2211yescharacteristic, complemented
113#481×C79C2211yescharacteristic
114#481×C79C2211yescharacteristic
115#481×C79C2211yescharacteristic, complemented
116#481×C79C2211yescharacteristic, complemented
117#480×C79C2211yescharacteristic
118#480×C79C2211yescharacteristic
119#480×C79C2211yescharacteristic, complemented
120#480×C79C2211yescharacteristic, complemented
121#479×C79C2211yescharacteristic, complemented
122#479×C79C2211yescharacteristic, complemented
123#479×C79C2211yescharacteristic, complemented
124#479×C79C2211yescharacteristic, complemented
125#478×C79C2211yescharacteristic, complemented
126#478×C79C2211yescharacteristic, complemented
127#478×C79C2211yescharacteristic, complemented
128#478×C79C2211yescharacteristic, complemented
129#477×C79C2211yescharacteristic, complemented
130#476×C79C2211yescharacteristic, complemented
131#475×C79C2211yescharacteristic, complemented
132#474×C79C2211yescharacteristic, complemented
133#470×C79C2211yescharacteristic, complemented
134#469×C79C2211yescharacteristic, complemented
135#468×C79C2211yescharacteristic, complemented
136#468×C79C2211yescharacteristic, complemented
137#467×C79C2211yescharacteristic
138#467×C79C2211yescharacteristic
139#467×C79C2211yescharacteristic, complemented
140#466×C79C2211yescharacteristic
141#466×C79C2211yescharacteristic
142#466×C79C2211yescharacteristic, complemented
143#465×C79C2211yescharacteristic
144#465×C79C2211yescharacteristic
145#465×C79C2211yescharacteristic
146#465×C79C2211yescharacteristic
147#465×C79C2211yescharacteristic, complemented
148#465×C79C2211yescharacteristic, complemented
149#462×C79C2211yescharacteristic, complemented
150#461×C79C2211yescharacteristic, complemented
151#460×C79C2211yescharacteristic, complemented
152#459×C79C2211yescharacteristic, complemented
153#452×C79C2211yescharacteristic
154#452×C79C2211yescharacteristic
155#452×C79C2211yescharacteristic
156#452×C79C2211yescharacteristic
157#452×C79C2211yescharacteristic, complemented
158#452×C79C2211yescharacteristic, complemented
159#449×C79C2211yescharacteristic
160#449×C79C2211yescharacteristic
161#449×C79C2211yescharacteristic
162#449×C79C2211yescharacteristic
163#449×C79C2211yescharacteristic, complemented
164#449×C79C2211yescharacteristic, complemented
165#442×C79C2211yescharacteristic, complemented
166#441×C79C2211yescharacteristic, complemented
167#440×C79C2211yescharacteristic, complemented
168#440×C79C2211yescharacteristic, complemented
169C4×Q16×C79C2211yescharacteristic, complemented
170C4×SD16×C79C2211yescharacteristic, complemented
171C4×SD16×C79C2211yescharacteristic, complemented
172C4×D8×C79C2211yescharacteristic, complemented
173#435×C79C2211yescharacteristic
174#435×C79C2211yescharacteristic
175#435×C79C2211yescharacteristic
176#435×C79C2211yescharacteristic
177C8×D4×C79C2211yescharacteristic
178C8×D4×C79C2211yescharacteristic
179C8×D4×C79C2211yescharacteristic
180C8×D4×C79C2211yescharacteristic
181#433×C79C2211yescharacteristic
182#433×C79C2211yescharacteristic
183#428×C79C2211yescharacteristic, complemented
184#428×C79C2211yescharacteristic, complemented
185#427×C79C2211yescharacteristic
186#427×C79C2211yescharacteristic
187#427×C79C2211yescharacteristic
188#427×C79C2211yescharacteristic
189C2×#107×C79C2211yescharacteristic, complemented
190C2×#106×C79C2211yescharacteristic, complemented
191#417×C79C2211yescharacteristic, complemented
192#417×C79C2211yescharacteristic, complemented
193#416×C79C2211yescharacteristic
194#416×C79C2211yescharacteristic
195#416×C79C2211yescharacteristic
196#416×C79C2211yescharacteristic
197#416×C79C2211yescharacteristic, complemented
198#416×C79C2211yescharacteristic, complemented
199#408×C79C2211yescharacteristic
200#408×C79C2211yescharacteristic
201C2×C22⋊C8×C79C2211yescharacteristic
202C2×C22⋊C8×C79C2211yescharacteristic
203C2×#41×C79C2311yescharacteristic
204C2×#41×C79C2311yescharacteristic
205C2×#41×C79C2311yescharacteristic
206C2×#41×C79C2311yescharacteristic
207C2×#41×C79C2311yescharacteristic
208C2×#41×C79C2311yescharacteristic
209C23×C4×C79C2311yescharacteristic
210C2×Q16×C79C2311yescharacteristic
211C2×Q16×C79C2311yescharacteristic
212C2×SD16×C79C2311yescharacteristic
213C2×SD16×C79C2311yescharacteristic
214C2×SD16×C79C2311yescharacteristic
215C2×SD16×C79C2311yescharacteristic
216C2×D8×C79C2311yescharacteristic
217C2×D8×C79C2311yescharacteristic
218C2×M16×C79C2311yescharacteristic
219C2×M16×C79C2311yescharacteristic
220C22×C8×C79C2311yescharacteristic
221C22×C8×C79C2311yescharacteristic
222C22×C8×C79C2311yescharacteristic
223C22×C8×C79C2311yescharacteristic
224C22×C8×C79C2311yescharacteristic
225C22×C8×C79C2311yescharacteristic
226C4⋊Q8×C79—21no—
227C4⋊Q8×C79C2311yescharacteristic
228C4⋊Q8×C79C2311yescharacteristic
229C4⋊Q8×C79C2311yescharacteristic
230#127×C79—21no—
231#127×C79—21no—
232#127×C79C2311yescharacteristic
233#126×C79—21no—
234#126×C79—21no—
235#126×C79—21no—
236#126×C79—21no—
237#126×C79—21no—
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#125×C79—21no—
248#125×C79—21no—
249#125×C79—21no—
250#125×C79—21no—
251#125×C79—21no—
252#125×C79—21no—
253#125×C79—21no—
254#125×C79C2311yescharacteristic
255#125×C79C2311yescharacteristic
256#125×C79C2311yescharacteristic
257#125×C79C2311yescharacteristic
258#124×C79—21no—
259#124×C79—21no—
260#124×C79—21no—
261#124×C79—21no—
262#124×C79—21no—
263#124×C79—21no—
264#123×C79—21no—
265#123×C79—21no—
266#123×C79—21no—
267#123×C79—21no—
268#123×C79—21no—
269#123×C79—21no—
270#123×C79—21no—
271#123×C79—21no—
272#123×C79—21no—
273#123×C79—21no—
274#123×C79—21no—
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×C79D411yescharacteristic
282#123×C79D411yescharacteristic
283C22⋊Q8×C79—21no—
284C22⋊Q8×C79—21no—
285C22⋊Q8×C79—21no—
286C22⋊Q8×C79—21no—
287C22⋊Q8×C79—21no—
288C22⋊Q8×C79D411yescharacteristic
289C22⋊Q8×C79D411yescharacteristic
290C22⋊Q8×C79C2311yescharacteristic
291C22⋊Q8×C79C2311yescharacteristic
292C22⋊Q8×C79C2311yescharacteristic
293C22⋊Q8×C79C2311yescharacteristic
294C22⋊Q8×C79C2311yescharacteristic
295C22⋊Q8×C79C2311yescharacteristic
296C22⋊Q8×C79C2311yescharacteristic
297C22⋊Q8×C79C2311yescharacteristic
298C22⋊Q8×C79C2311yescharacteristic
299C22⋊Q8×C79C2311yescharacteristic
300#121×C79—21no—
301#121×C79—21no—
302#121×C79—21no—
303#121×C79—21no—
304#121×C79—21no—
305#121×C79—21no—
306#121×C79—21no—
307#121×C79—21no—
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×C79D411yescharacteristic
324#121×C79D411yescharacteristic
325#121×C79C2311yescharacteristic
326#121×C79C2311yescharacteristic
327#121×C79C2311yescharacteristic
328#121×C79C2311yescharacteristic
329#121×C79C2311yescharacteristic
330#121×C79C2311yescharacteristic
331#121×C79C2311yescharacteristic
332#121×C79C2311yescharacteristic
333#121×C79C2311yescharacteristic
334#121×C79C2311yescharacteristic
335#120×C79—21no—
336#120×C79—21no—
337#120×C79—21no—
338#120×C79D411yescharacteristic
339#120×C79D411yescharacteristic
340C4×Q8×C79—21no—
341C4×Q8×C79—21no—
342C4×Q8×C79—21no—
343C4×Q8×C79C2311yescharacteristic
344C4×Q8×C79C2311yescharacteristic
345C4×Q8×C79C2311yescharacteristic
346C4×Q8×C79C2311yescharacteristic
347C4×D4×C79—21no—
348C4×D4×C79—21no—
349C4×D4×C79—21no—
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×C79C2311yescharacteristic
365C4×D4×C79C2311yescharacteristic
366C4×D4×C79C2311yescharacteristic
367C4×D4×C79C2311yescharacteristic
368C4×D4×C79C2311yescharacteristic
369C4×D4×C79C2311yescharacteristic
370C4×D4×C79C2311yescharacteristic
371C4×D4×C79C2311yescharacteristic
372#117×C79—21no—
373#117×C79—21no—
374#117×C79—21no—
375#117×C79—21no—
376#117×C79—21no—
377#117×C79—21no—
378#117×C79—21no—
379#117×C79—21no—
380#117×C79—21no—
381#117×C79C2311yescharacteristic
382#117×C79C2311yescharacteristic
383#117×C79C2311yescharacteristic
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×C4⋊C4×C79C2311yescharacteristic
399C2×C4⋊C4×C79C2311yescharacteristic
400C2×C22⋊C4×C79—21no—
401C2×C42×C79—21no—
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#107×C79C2311yescharacteristic
413#107×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
424#106×C79C2311yescharacteristic
425#106×C79C2311yescharacteristic
426C4⋊C8×C79C2311yescharacteristic
427C4⋊C8×C79C2311yescharacteristic
428C4⋊C8×C79C2311yescharacteristic
429C4⋊C8×C79C2311yescharacteristic
430#103×C79C2311yescharacteristic
431#103×C79C2311yescharacteristic
432#103×C79C2311yescharacteristic
433#103×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#103×C79C2311yescharacteristic
445#103×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
462C22⋊C8×C79C2311yescharacteristic
463C22⋊C8×C79C2311yescharacteristic
464C22⋊C8×C79C2311yescharacteristic
465C22⋊C8×C79C2311yescharacteristic
466C22⋊C8×C79C2311yescharacteristic
467C22⋊C8×C79C2311yescharacteristic
468C22⋊C8×C79C2311yescharacteristic
469C22⋊C8×C79C2311yescharacteristic
470C22⋊C8×C79C2311yescharacteristic
471C22⋊C8×C79C2311yescharacteristic
472C22⋊C8×C79C2311yescharacteristic
473C22⋊C8×C79C2311yescharacteristic
474#97×C79C2311yescharacteristic
475#97×C79C2311yescharacteristic
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C24×C79C2×D411yescharacteristic
479#41×C79—41no—
480#41×C79—41no—
481#41×C79—41no—
482#41×C79—41no—
483#41×C79—41no—
484#41×C79—41no—
485#41×C79—41no—
486#41×C79—41no—
487#41×C79—41no—
488#41×C79—41no—
489#41×C79—41no—
490#41×C79—41no—
491C2×Q8×C79—21no—
492C2×Q8×C79—21no—
493C2×Q8×C79C2×D411yescharacteristic
494C2×Q8×C79C2411yescharacteristic
495C2×Q8×C79C2411yescharacteristic
496C2×Q8×C79C2411yescharacteristic
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×C79—21no—
514C2×D4×C79C2×D411yescharacteristic
515C2×D4×C79C2×D411yescharacteristic
516C2×D4×C79C2×D411yescharacteristic
517C2×D4×C79C2×D411yescharacteristic
518C2×D4×C79C2×D411yescharacteristic
519C2×D4×C79C2×D411yescharacteristic
520C2×D4×C79C2×D411yescharacteristic
521C2×D4×C79C2411yescharacteristic
522C2×D4×C79C2411yescharacteristic
523C2×D4×C79C2411yescharacteristic
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×C79—21no—
537C22×C4×C79—21no—
538C22×C4×C79—21no—
539C22×C4×C79—41no—
540C22×C4×C79—41no—
541C22×C4×C79C2×D411yescharacteristic
542C22×C4×C79C2×D411yescharacteristic
543C22×C4×C79C2×D411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549Q16×C79—41no—
550Q16×C79—41no—
551SD16×C79—41no—
552SD16×C79—41no—
553SD16×C79—41no—
554SD16×C79—41no—
555D8×C79—41no—
556D8×C79—41no—
557M16×C79—41no—
558M16×C79—41no—
559C2×C8×C79—41no—
560C2×C8×C79—41no—
561C2×C8×C79—41no—
562C2×C8×C79—41no—
563C2×C8×C79—41no—
564C2×C8×C79—41no—
565C2×C8×C79C2411yescharacteristic
566C2×C8×C79C2411yescharacteristic
567C2×C8×C79C2411yescharacteristic
568C2×C8×C79C2411yescharacteristic
569C2×C8×C79C2411yescharacteristic
570C2×C8×C79C2411yescharacteristic
571C2×C8×C79C2411yescharacteristic
572C2×C8×C79C2411yescharacteristic
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×C79—21no—
597C4⋊C4×C79—21no—
598C4⋊C4×C79—21no—
599C4⋊C4×C79—21no—
600C4⋊C4×C79—21no—
601C4⋊C4×C79—21no—
602C4⋊C4×C79—21no—
603C4⋊C4×C79—21no—
604C4⋊C4×C79—21no—
605C4⋊C4×C79C2×D411yescharacteristic
606C4⋊C4×C79C2×D411yescharacteristic
607C4⋊C4×C79C2×D411yescharacteristic
608C4⋊C4×C79C2×D411yescharacteristic
609C4⋊C4×C79C2×D411yescharacteristic
610C4⋊C4×C79C2×D411yescharacteristic
611C4⋊C4×C79C2411yescharacteristic
612C4⋊C4×C79C2411yescharacteristic
613C4⋊C4×C79C2411yescharacteristic
614C4⋊C4×C79C2411yescharacteristic
615C4⋊C4×C79C2411yescharacteristic
616C4⋊C4×C79C2411yescharacteristic
617C4⋊C4×C79C2411yescharacteristic
618C4⋊C4×C79C2411yescharacteristic
619C4⋊C4×C79C2411yescharacteristic
620C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
645C22⋊C4×C79—21no—
646C22⋊C4×C79—21no—
647C22⋊C4×C79—21no—
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79C2×D411yescharacteristic
655C22⋊C4×C79C2×D411yescharacteristic
656C22⋊C4×C79C2×D411yescharacteristic
657C22⋊C4×C79C2×D411yescharacteristic
658C22⋊C4×C79C2×D411yescharacteristic
659C22⋊C4×C79C2×D411yescharacteristic
660C22⋊C4×C79C2×D411yescharacteristic
661C22⋊C4×C79C2×D411yescharacteristic
662C22⋊C4×C79C2×D411yescharacteristic
663C22⋊C4×C79C2×D411yescharacteristic
664C42×C79—21no—
665C42×C79—21no—
666C42×C79—21no—
667C42×C79—21no—
668C42×C79—21no—
669C42×C79—21no—
670C42×C79—21no—
671C42×C79—21no—
672C42×C79—21no—
673C42×C79—21no—
674C42×C79—21no—
675C42×C79—21no—
676C42×C79—21no—
677C42×C79C2411yescharacteristic
678C42×C79C2411yescharacteristic
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C23×C79—41no—
683C23×C79—41no—
684C23×C79—41no—
685C23×C79C22×D411yescharacteristic
686C23×C79C22×D411yescharacteristic
687C23×C79C22×D411yescharacteristic
688C23×C79C22×D411yescharacteristic
689C23×C79C22×D411yescharacteristic
690Q8×C79—21no—
691Q8×C79—21no—
692Q8×C79—21no—
693Q8×C79—21no—
694Q8×C79—21no—
695Q8×C79—21no—
696Q8×C79—41no—
697Q8×C79—81no—
698Q8×C79—81no—
699D4×C79—21no—
700D4×C79—21no—
701D4×C79—21no—
702D4×C79—21no—
703D4×C79—21no—
704D4×C79—21no—
705D4×C79—41no—
706D4×C79—41no—
707D4×C79—41no—
708D4×C79—41no—
709D4×C79—41no—
710D4×C79—41no—
711D4×C79—41no—
712D4×C79—42no—
713D4×C79—81no—
714D4×C79—81no—
715D4×C79—81no—
716D4×C79—81no—
717D4×C79—81no—
718D4×C79—81no—
719D4×C79—81no—
720D4×C79—81no—
721D4×C79—81no—
722D4×C79—81no—
723D4×C79—81no—
724D4×C79—81no—
725D4×C79—81no—
726D4×C79—81no—
727D4×C79—81no—
728D4×C79—81no—
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—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—41no—
753C2×C4×C79—41no—
754C2×C4×C79—41no—
755C2×C4×C79—42no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79—81no—
759C2×C4×C79—81no—
760C2×C4×C79—81no—
761C2×C4×C79—81no—
762C2×C4×C79—81no—
763C2×C4×C79—81no—
764C2×C4×C79—81no—
765C2×C4×C79—81no—
766C2×C4×C79—81no—
767C2×C4×C79—81no—
768C2×C4×C79—81no—
769C2×C4×C79—81no—
770C2×C4×C79C22×D411yescharacteristic
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C22×D411yescharacteristic
777C2×C4×C79C22×D411yescharacteristic
778C2×C4×C79C22×D411yescharacteristic
779C2×C4×C79C2511yescharacteristic
780C8×C79—21no—
781C8×C79—21no—
782C8×C79—21no—
783C8×C79—21no—
784C8×C79—21no—
785C8×C79—21no—
786C8×C79—21no—
787C8×C79—21no—
788C22×C79—21no—
789C22×C79—21no—
790C22×C79—21no—
791C22×C79—21no—
792C22×C79—21no—
793C22×C79—21no—
794C22×C79—21no—
795C22×C79—21no—
796C22×C79—21no—
797C22×C79—21no—
798C22×C79—21no—
799C22×C79—21no—
800C22×C79—21no—
801C22×C79—21no—
802C22×C79—21no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79—82no—
813C22×C79C23×D411yescharacteristic
814C4×C79—21no—
815C4×C79—21no—
816C4×C79—21no—
817C4×C79—21no—
818C4×C79—21no—
819C4×C79—21no—
820C4×C79—21no—
821C4×C79—21no—
822C4×C79—21no—
823C4×C79—41no—
824C4×C79—41no—
825C4×C79—41no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79#58511yescharacteristic
837C4×C79#58511yescharacteristic
838#61768C7911yesmaximal, characteristic, direct product factor, Sylow
839C2×C79—41no—
840C2×C79—41no—
841C2×C79—41no—
842C2×C79—41no—
843C2×C79—41no—
844C2×C79—81no—
845C2×C79—81no—
846C2×C79—81no—
847C2×C79#348511yescharacteristic
848C2×C79#358411yescharacteristic
849C2×C79#358411yescharacteristic
850#3539C2×C7911yescharacteristic, complemented
851#3493C2×C7911yescharacteristic, complemented
852#3350C2×C7911yescharacteristic, complemented
853#3349C2×C7911yescharacteristic, complemented
854#3348C2×C7911yescharacteristic, complemented
855#3347C2×C7911yescharacteristic, complemented
856#3339C2×C7911yescharacteristic, complemented
857#3337C2×C7911yescharacteristic, complemented
858#3337C2×C7911yescharacteristic, complemented
859#3336C2×C7911yescharacteristic, complemented
860#3317C2×C7911yescharacteristic, complemented
861#3315C2×C7911yescharacteristic, complemented
862#3309C2×C7911yescharacteristic, complemented
863#3307C2×C7911yescharacteristic, complemented
864#3305C2×C7911yescharacteristic, complemented
865#3304C2×C7911yescharacteristic, complemented
866#3303C2×C7911yescharacteristic, complemented
867#3302C2×C7911yescharacteristic, complemented
868#3242C2×C7911yescharacteristic, complemented
869#3241C2×C7911yescharacteristic, complemented
870#3204C2×C7911yescharacteristic, complemented
871#3203C2×C7911yescharacteristic, complemented
872#3191C2×C7911yescharacteristic, complemented
873#3191C2×C7911yescharacteristic, complemented
874#3120C2×C7911yescharacteristic, complemented
875#3119C2×C7911yescharacteristic, complemented
876#3099C2×C7911yescharacteristic, complemented
877#3098C2×C7911yescharacteristic, complemented
878#3091C2×C7911yescharacteristic, complemented
879#3091C2×C7911yescharacteristic, complemented
880#2977C2×C7911yescharacteristic, complemented
881C79#6176811yescharacteristic, direct product factor, Sylow
882#560—21no—
883#560—21no—
884#556—21no—
885#556C22×C7911yescharacteristic
886#556C22×C7911yescharacteristic
887#555—21no—
888#555C22×C7911yescharacteristic
889#555C22×C7911yescharacteristic
890#553—21no—
891#553—21no—
892#553—21no—
893#553C22×C7911yescharacteristic
894#553C22×C7911yescharacteristic
895#553C22×C7911yescharacteristic
896#553C22×C7911yescharacteristic
897#552—21no—
898#552C22×C7911yescharacteristic
899#552C22×C7911yescharacteristic
900#552C22×C7911yescharacteristic
901#552C22×C7911yescharacteristic
902#550C22×C7911yescharacteristic
903#550C22×C7911yescharacteristic
904#547C22×C7911yescharacteristic
905#547C22×C7911yescharacteristic
906#544C22×C7911yescharacteristic
907#541C22×C7911yescharacteristic
908#540—21no—
909#540—21no—
910#540C22×C7911yescharacteristic
911#539—21no—
912#539—21no—
913#538—21no—
914#538—21no—
915#537C22×C7911yescharacteristic
916#537C22×C7911yescharacteristic
917#537C22×C7911yescharacteristic
918#529—21no—
919#529—21no—
920#525C22×C7911yescharacteristic
921#525C22×C7911yescharacteristic
922#525C22×C7911yescharacteristic
923#525C22×C7911yescharacteristic
924#520C22×C7911yescharacteristic
925#520C22×C7911yescharacteristic
926C2×#117C22×C7911yescharacteristic
927#501C22×C7911yescharacteristic, complemented
928#501C22×C7911yescharacteristic, complemented
929#499C22×C7911yescharacteristic, complemented
930#499C22×C7911yescharacteristic, complemented
931#491C22×C7911yescharacteristic, complemented
932#490C22×C7911yescharacteristic, complemented
933#487C22×C7911yescharacteristic, complemented
934#486C22×C7911yescharacteristic, complemented
935#485C22×C7911yescharacteristic
936#485C22×C7911yescharacteristic
937#485C22×C7911yescharacteristic
938#485C22×C7911yescharacteristic
939#485C22×C7911yescharacteristic
940#485C22×C7911yescharacteristic
941#485C22×C7911yescharacteristic
942#485C22×C7911yescharacteristic
943#485C22×C7911yescharacteristic, complemented
944#485C22×C7911yescharacteristic, complemented
945#484C22×C7911yescharacteristic
946#484C22×C7911yescharacteristic
947#484C22×C7911yescharacteristic, complemented
948#484C22×C7911yescharacteristic, complemented
949#483C22×C7911yescharacteristic
950#483C22×C7911yescharacteristic
951#483C22×C7911yescharacteristic, complemented
952#483C22×C7911yescharacteristic, complemented
953#482C22×C7911yescharacteristic
954#482C22×C7911yescharacteristic
955#482C22×C7911yescharacteristic
956#482C22×C7911yescharacteristic
957#482C22×C7911yescharacteristic
958#482C22×C7911yescharacteristic
959#482C22×C7911yescharacteristic
960#482C22×C7911yescharacteristic
961#482C22×C7911yescharacteristic, complemented
962#482C22×C7911yescharacteristic, complemented
963#481C22×C7911yescharacteristic
964#481C22×C7911yescharacteristic
965#481C22×C7911yescharacteristic, complemented
966#481C22×C7911yescharacteristic, complemented
967#480C22×C7911yescharacteristic
968#480C22×C7911yescharacteristic
969#480C22×C7911yescharacteristic, complemented
970#480C22×C7911yescharacteristic, complemented
971#479C22×C7911yescharacteristic, complemented
972#479C22×C7911yescharacteristic, complemented
973#479C22×C7911yescharacteristic, complemented
974#479C22×C7911yescharacteristic, complemented
975#478C22×C7911yescharacteristic, complemented
976#478C22×C7911yescharacteristic, complemented
977#478C22×C7911yescharacteristic, complemented
978#478C22×C7911yescharacteristic, complemented
979#477C22×C7911yescharacteristic, complemented
980#476C22×C7911yescharacteristic, complemented
981#475C22×C7911yescharacteristic, complemented
982#474C22×C7911yescharacteristic, complemented
983#470C22×C7911yescharacteristic, complemented
984#469C22×C7911yescharacteristic, complemented
985#468C22×C7911yescharacteristic, complemented
986#468C22×C7911yescharacteristic, complemented
987#467C22×C7911yescharacteristic
988#467C22×C7911yescharacteristic
989#467C22×C7911yescharacteristic, complemented
990#466C22×C7911yescharacteristic
991#466C22×C7911yescharacteristic
992#466C22×C7911yescharacteristic, complemented
993#465C22×C7911yescharacteristic
994#465C22×C7911yescharacteristic
995#465C22×C7911yescharacteristic
996#465C22×C7911yescharacteristic
997#465C22×C7911yescharacteristic, complemented
998#465C22×C7911yescharacteristic, complemented
999#462C22×C7911yescharacteristic, complemented
1000#461C22×C7911yescharacteristic, complemented
1001#460C22×C7911yescharacteristic, complemented
1002#459C22×C7911yescharacteristic, complemented
1003#452C22×C7911yescharacteristic
1004#452C22×C7911yescharacteristic
1005#452C22×C7911yescharacteristic
1006#452C22×C7911yescharacteristic
1007#452C22×C7911yescharacteristic, complemented
1008#452C22×C7911yescharacteristic, complemented
1009#449C22×C7911yescharacteristic
1010#449C22×C7911yescharacteristic
1011#449C22×C7911yescharacteristic
1012#449C22×C7911yescharacteristic
1013#449C22×C7911yescharacteristic, complemented
1014#449C22×C7911yescharacteristic, complemented
1015#442C22×C7911yescharacteristic, complemented
1016#441C22×C7911yescharacteristic, complemented
1017#440C22×C7911yescharacteristic, complemented
1018#440C22×C7911yescharacteristic, complemented
1019C4×Q16C22×C7911yescharacteristic, complemented
1020C4×SD16C22×C7911yescharacteristic, complemented
1021C4×SD16C22×C7911yescharacteristic, complemented
1022C4×D8C22×C7911yescharacteristic, complemented
1023#435C22×C7911yescharacteristic
1024#435C22×C7911yescharacteristic
1025#435C22×C7911yescharacteristic
1026#435C22×C7911yescharacteristic
1027C8×D4C22×C7911yescharacteristic
1028C8×D4C22×C7911yescharacteristic
1029C8×D4C22×C7911yescharacteristic
1030C8×D4C22×C7911yescharacteristic
1031#433C22×C7911yescharacteristic
1032#433C22×C7911yescharacteristic
1033#428C22×C7911yescharacteristic, complemented
1034#428C22×C7911yescharacteristic, complemented
1035#427C22×C7911yescharacteristic
1036#427C22×C7911yescharacteristic
1037#427C22×C7911yescharacteristic
1038#427C22×C7911yescharacteristic
1039C2×#107C22×C7911yescharacteristic, complemented
1040C2×#106C22×C7911yescharacteristic, complemented
1041#417C22×C7911yescharacteristic, complemented
1042#417C22×C7911yescharacteristic, complemented
1043#416C22×C7911yescharacteristic
1044#416C22×C7911yescharacteristic
1045#416C22×C7911yescharacteristic
1046#416C22×C7911yescharacteristic
1047#416C22×C7911yescharacteristic, complemented
1048#416C22×C7911yescharacteristic, complemented
1049#408C22×C7911yescharacteristic
1050#408C22×C7911yescharacteristic
1051C2×C22⋊C8C22×C7911yescharacteristic
1052C2×C22⋊C8C22×C7911yescharacteristic
1053C2×#41C23×C7911yescharacteristic
1054C2×#41C23×C7911yescharacteristic
1055C2×#41C23×C7911yescharacteristic
1056C2×#41C23×C7911yescharacteristic
1057C2×#41C23×C7911yescharacteristic
1058C2×#41C23×C7911yescharacteristic
1059C23×C4C23×C7911yescharacteristic
1060C2×Q16C23×C7911yescharacteristic
1061C2×Q16C23×C7911yescharacteristic
1062C2×SD16C23×C7911yescharacteristic
1063C2×SD16C23×C7911yescharacteristic
1064C2×SD16C23×C7911yescharacteristic
1065C2×SD16C23×C7911yescharacteristic
1066C2×D8C23×C7911yescharacteristic
1067C2×D8C23×C7911yescharacteristic
1068C2×M16C23×C7911yescharacteristic
1069C2×M16C23×C7911yescharacteristic
1070C22×C8C23×C7911yescharacteristic
1071C22×C8C23×C7911yescharacteristic
1072C22×C8C23×C7911yescharacteristic
1073C22×C8C23×C7911yescharacteristic
1074C22×C8C23×C7911yescharacteristic
1075C22×C8C23×C7911yescharacteristic
1076C4⋊Q8—21no—
1077C4⋊Q8C23×C7911yescharacteristic
1078C4⋊Q8C23×C7911yescharacteristic
1079C4⋊Q8C23×C7911yescharacteristic
1080#127—21no—
1081#127—21no—
1082#127C23×C7911yescharacteristic
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125C23×C7911yescharacteristic
1105#125C23×C7911yescharacteristic
1106#125C23×C7911yescharacteristic
1107#125C23×C7911yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—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#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123D4×C7911yescharacteristic
1132#123D4×C7911yescharacteristic
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8D4×C7911yescharacteristic
1139C22⋊Q8D4×C7911yescharacteristic
1140C22⋊Q8C23×C7911yescharacteristic
1141C22⋊Q8C23×C7911yescharacteristic
1142C22⋊Q8C23×C7911yescharacteristic
1143C22⋊Q8C23×C7911yescharacteristic
1144C22⋊Q8C23×C7911yescharacteristic
1145C22⋊Q8C23×C7911yescharacteristic
1146C22⋊Q8C23×C7911yescharacteristic
1147C22⋊Q8C23×C7911yescharacteristic
1148C22⋊Q8C23×C7911yescharacteristic
1149C22⋊Q8C23×C7911yescharacteristic
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#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121D4×C7911yescharacteristic
1174#121D4×C7911yescharacteristic
1175#121C23×C7911yescharacteristic
1176#121C23×C7911yescharacteristic
1177#121C23×C7911yescharacteristic
1178#121C23×C7911yescharacteristic
1179#121C23×C7911yescharacteristic
1180#121C23×C7911yescharacteristic
1181#121C23×C7911yescharacteristic
1182#121C23×C7911yescharacteristic
1183#121C23×C7911yescharacteristic
1184#121C23×C7911yescharacteristic
1185#120—21no—
1186#120—21no—
1187#120—21no—
1188#120D4×C7911yescharacteristic
1189#120D4×C7911yescharacteristic
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8C23×C7911yescharacteristic
1194C4×Q8C23×C7911yescharacteristic
1195C4×Q8C23×C7911yescharacteristic
1196C4×Q8C23×C7911yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4C23×C7911yescharacteristic
1215C4×D4C23×C7911yescharacteristic
1216C4×D4C23×C7911yescharacteristic
1217C4×D4C23×C7911yescharacteristic
1218C4×D4C23×C7911yescharacteristic
1219C4×D4C23×C7911yescharacteristic
1220C4×D4C23×C7911yescharacteristic
1221C4×D4C23×C7911yescharacteristic
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117C23×C7911yescharacteristic
1232#117C23×C7911yescharacteristic
1233#117C23×C7911yescharacteristic
1234#117C23×C7911yescharacteristic
1235#117C23×C7911yescharacteristic
1236#117C23×C7911yescharacteristic
1237#117C23×C7911yescharacteristic
1238#117C23×C7911yescharacteristic
1239#117C23×C7911yescharacteristic
1240#117C23×C7911yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4C23×C7911yescharacteristic
1245C2×C4⋊C4C23×C7911yescharacteristic
1246C2×C4⋊C4C23×C7911yescharacteristic
1247C2×C4⋊C4C23×C7911yescharacteristic
1248C2×C4⋊C4C23×C7911yescharacteristic
1249C2×C4⋊C4C23×C7911yescharacteristic
1250C2×C22⋊C4—21no—
1251C2×C42—21no—
1252#107C23×C7911yescharacteristic
1253#107C23×C7911yescharacteristic
1254#107C23×C7911yescharacteristic
1255#107C23×C7911yescharacteristic
1256#107C23×C7911yescharacteristic
1257#107C23×C7911yescharacteristic
1258#107C23×C7911yescharacteristic
1259#107C23×C7911yescharacteristic
1260#107C23×C7911yescharacteristic
1261#107C23×C7911yescharacteristic
1262#107C23×C7911yescharacteristic
1263#107C23×C7911yescharacteristic
1264#106C23×C7911yescharacteristic
1265#106C23×C7911yescharacteristic
1266#106C23×C7911yescharacteristic
1267#106C23×C7911yescharacteristic
1268#106C23×C7911yescharacteristic
1269#106C23×C7911yescharacteristic
1270#106C23×C7911yescharacteristic
1271#106C23×C7911yescharacteristic
1272#106C23×C7911yescharacteristic
1273#106C23×C7911yescharacteristic
1274#106C23×C7911yescharacteristic
1275#106C23×C7911yescharacteristic
1276C4⋊C8C23×C7911yescharacteristic
1277C4⋊C8C23×C7911yescharacteristic
1278C4⋊C8C23×C7911yescharacteristic
1279C4⋊C8C23×C7911yescharacteristic
1280#103C23×C7911yescharacteristic
1281#103C23×C7911yescharacteristic
1282#103C23×C7911yescharacteristic
1283#103C23×C7911yescharacteristic
1284#103C23×C7911yescharacteristic
1285#103C23×C7911yescharacteristic
1286#103C23×C7911yescharacteristic
1287#103C23×C7911yescharacteristic
1288#103C23×C7911yescharacteristic
1289#103C23×C7911yescharacteristic
1290#103C23×C7911yescharacteristic
1291#103C23×C7911yescharacteristic
1292#103C23×C7911yescharacteristic
1293#103C23×C7911yescharacteristic
1294#103C23×C7911yescharacteristic
1295#103C23×C7911yescharacteristic
1296#102C23×C7911yescharacteristic
1297#102C23×C7911yescharacteristic
1298#102C23×C7911yescharacteristic
1299#102C23×C7911yescharacteristic
1300#102C23×C7911yescharacteristic
1301#102C23×C7911yescharacteristic
1302#102C23×C7911yescharacteristic
1303#102C23×C7911yescharacteristic
1304#102C23×C7911yescharacteristic
1305#102C23×C7911yescharacteristic
1306#102C23×C7911yescharacteristic
1307#102C23×C7911yescharacteristic
1308#102C23×C7911yescharacteristic
1309#102C23×C7911yescharacteristic
1310#102C23×C7911yescharacteristic
1311#102C23×C7911yescharacteristic
1312C22⋊C8C23×C7911yescharacteristic
1313C22⋊C8C23×C7911yescharacteristic
1314C22⋊C8C23×C7911yescharacteristic
1315C22⋊C8C23×C7911yescharacteristic
1316C22⋊C8C23×C7911yescharacteristic
1317C22⋊C8C23×C7911yescharacteristic
1318C22⋊C8C23×C7911yescharacteristic
1319C22⋊C8C23×C7911yescharacteristic
1320C22⋊C8C23×C7911yescharacteristic
1321C22⋊C8C23×C7911yescharacteristic
1322C22⋊C8C23×C7911yescharacteristic
1323C22⋊C8C23×C7911yescharacteristic
1324#97C23×C7911yescharacteristic
1325#97C23×C7911yescharacteristic
1326C4×C8C23×C7911yescharacteristic
1327C4×C8C23×C7911yescharacteristic
1328C24C2×D4×C7911yescharacteristic
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8C2×D4×C7911yescharacteristic
1344C2×Q8C24×C7911yescharacteristic
1345C2×Q8C24×C7911yescharacteristic
1346C2×Q8C24×C7911yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4C2×D4×C7911yescharacteristic
1365C2×D4C2×D4×C7911yescharacteristic
1366C2×D4C2×D4×C7911yescharacteristic
1367C2×D4C2×D4×C7911yescharacteristic
1368C2×D4C2×D4×C7911yescharacteristic
1369C2×D4C2×D4×C7911yescharacteristic
1370C2×D4C2×D4×C7911yescharacteristic
1371C2×D4C24×C7911yescharacteristic
1372C2×D4C24×C7911yescharacteristic
1373C2×D4C24×C7911yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4C2×D4×C7911yescharacteristic
1392C22×C4C2×D4×C7911yescharacteristic
1393C22×C4C2×D4×C7911yescharacteristic
1394C22×C4C24×C7911yescharacteristic
1395C22×C4C24×C7911yescharacteristic
1396C22×C4C24×C7911yescharacteristic
1397C22×C4C24×C7911yescharacteristic
1398C22×C4C24×C7911yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C7911yescharacteristic
1416C2×C8C24×C7911yescharacteristic
1417C2×C8C24×C7911yescharacteristic
1418C2×C8C24×C7911yescharacteristic
1419C2×C8C24×C7911yescharacteristic
1420C2×C8C24×C7911yescharacteristic
1421C2×C8C24×C7911yescharacteristic
1422C2×C8C24×C7911yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4C2×D4×C7911yescharacteristic
1456C4⋊C4C2×D4×C7911yescharacteristic
1457C4⋊C4C2×D4×C7911yescharacteristic
1458C4⋊C4C2×D4×C7911yescharacteristic
1459C4⋊C4C2×D4×C7911yescharacteristic
1460C4⋊C4C2×D4×C7911yescharacteristic
1461C4⋊C4C24×C7911yescharacteristic
1462C4⋊C4C24×C7911yescharacteristic
1463C4⋊C4C24×C7911yescharacteristic
1464C4⋊C4C24×C7911yescharacteristic
1465C4⋊C4C24×C7911yescharacteristic
1466C4⋊C4C24×C7911yescharacteristic
1467C4⋊C4C24×C7911yescharacteristic
1468C4⋊C4C24×C7911yescharacteristic
1469C4⋊C4C24×C7911yescharacteristic
1470C4⋊C4C24×C7911yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4C2×D4×C7911yescharacteristic
1505C22⋊C4C2×D4×C7911yescharacteristic
1506C22⋊C4C2×D4×C7911yescharacteristic
1507C22⋊C4C2×D4×C7911yescharacteristic
1508C22⋊C4C2×D4×C7911yescharacteristic
1509C22⋊C4C2×D4×C7911yescharacteristic
1510C22⋊C4C2×D4×C7911yescharacteristic
1511C22⋊C4C2×D4×C7911yescharacteristic
1512C22⋊C4C2×D4×C7911yescharacteristic
1513C22⋊C4C2×D4×C7911yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42C24×C7911yescharacteristic
1528C42C24×C7911yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23C22×D4×C7911yescharacteristic
1536C23C22×D4×C7911yescharacteristic
1537C23C22×D4×C7911yescharacteristic
1538C23C22×D4×C7911yescharacteristic
1539C23C22×D4×C7911yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—81no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—42no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C7911yescharacteristic
1621C2×C4C22×D4×C7911yescharacteristic
1622C2×C4C22×D4×C7911yescharacteristic
1623C2×C4C22×D4×C7911yescharacteristic
1624C2×C4C22×D4×C7911yescharacteristic
1625C2×C4C22×D4×C7911yescharacteristic
1626C2×C4C22×D4×C7911yescharacteristic
1627C2×C4C22×D4×C7911yescharacteristic
1628C2×C4C22×D4×C7911yescharacteristic
1629C2×C4C25×C7911yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—82no—
1663C22C23×D4×C7911yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4#585×C7911yescharacteristic
1687C4#585×C7911yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C79×#348511yescharacteristic
1697C2C79×#358411yescharacteristic
1698C2C79×#358411yescharacteristic
subgroupG/H
center, socleC22×C79C23×D4
commutator, Frattini, cosocleC2×C4C25×C79
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C79 ◁ #525×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#3539C2semidirect
2. C79×#3493C2semidirect
3. C79×#3350C2semidirect
4. C79×#3349C2semidirect
5. C79×#3348C2semidirect
6. C79×#3347C2semidirect
7. C79×#3339C2semidirect
8. C79×#3337C2semidirect
9. C79×#3337C2semidirect
10. C79×#3336C2semidirect
11. C79×#3317C2semidirect
12. C79×#3315C2semidirect
13. C79×#3309C2semidirect
14. C79×#3307C2semidirect
15. C79×#3305C2semidirect
16. C79×#3304C2semidirect
17. C79×#3303C2semidirect
18. C79×#3302C2semidirect
19. C79×#3242C2semidirect
20. C79×#3241C2semidirect
21. C79×#3204C2semidirect
22. C79×#3203C2semidirect
23. C79×#3191C2semidirect
24. C79×#3191C2semidirect
25. C79×#3120C2semidirect
26. C79×#3119C2semidirect
27. C79×#3099C2semidirect
28. C79×#3098C2semidirect
29. C79×#3091C2semidirect
30. C79×#3091C2semidirect
31. C79×#2977C2semidirect
77. #501×C79C22semidirect
78. #501×C79C22semidirect
79. #499×C79C22semidirect
80. #499×C79C22semidirect
81. #491×C79C22semidirect
82. #490×C79C22semidirect
83. #487×C79C22semidirect
84. #486×C79C22semidirect
93. #485×C79C22semidirect
94. #485×C79C22semidirect
97. #484×C79C22semidirect
98. #484×C79C22semidirect
101. #483×C79C22semidirect
102. #483×C79C22semidirect
111. #482×C79C22semidirect
112. #482×C79C22semidirect
115. #481×C79C22semidirect
116. #481×C79C22semidirect
119. #480×C79C22semidirect
120. #480×C79C22semidirect
121. #479×C79C22semidirect
122. #479×C79C22semidirect
123. #479×C79C22semidirect
124. #479×C79C22semidirect
125. #478×C79C22semidirect
126. #478×C79C22semidirect
127. #478×C79C22semidirect
128. #478×C79C22semidirect
129. #477×C79C22semidirect
130. #476×C79C22semidirect
131. #475×C79C22semidirect
132. #474×C79C22semidirect
133. #470×C79C22semidirect
134. #469×C79C22semidirect
135. #468×C79C22semidirect
136. #468×C79C22semidirect
139. #467×C79C22semidirect
142. #466×C79C22semidirect
147. #465×C79C22semidirect
148. #465×C79C22semidirect
149. #462×C79C22semidirect
150. #461×C79C22semidirect
151. #460×C79C22semidirect
152. #459×C79C22semidirect
157. #452×C79C22semidirect
158. #452×C79C22semidirect
163. #449×C79C22semidirect
164. #449×C79C22semidirect
165. #442×C79C22semidirect
166. #441×C79C22semidirect
167. #440×C79C22semidirect
168. #440×C79C22semidirect
169. C4×Q16×C79C22semidirect
170. C4×SD16×C79C22semidirect
171. C4×SD16×C79C22semidirect
172. C4×D8×C79C22semidirect
183. #428×C79C22semidirect
184. #428×C79C22semidirect
189. C2×#107×C79C22semidirect
190. C2×#106×C79C22semidirect
191. #417×C79C22semidirect
192. #417×C79C22semidirect
197. #416×C79C22semidirect
198. #416×C79C22semidirect
838. #61768C79direct (N × H)
850. #3539C2×C79semidirect
851. #3493C2×C79semidirect
852. #3350C2×C79semidirect
853. #3349C2×C79semidirect
854. #3348C2×C79semidirect
855. #3347C2×C79semidirect
856. #3339C2×C79semidirect
857. #3337C2×C79semidirect
858. #3337C2×C79semidirect
859. #3336C2×C79semidirect
860. #3317C2×C79semidirect
861. #3315C2×C79semidirect
862. #3309C2×C79semidirect
863. #3307C2×C79semidirect
864. #3305C2×C79semidirect
865. #3304C2×C79semidirect
866. #3303C2×C79semidirect
867. #3302C2×C79semidirect
868. #3242C2×C79semidirect
869. #3241C2×C79semidirect
870. #3204C2×C79semidirect
871. #3203C2×C79semidirect
872. #3191C2×C79semidirect
873. #3191C2×C79semidirect
874. #3120C2×C79semidirect
875. #3119C2×C79semidirect
876. #3099C2×C79semidirect
877. #3098C2×C79semidirect
878. #3091C2×C79semidirect
879. #3091C2×C79semidirect
880. #2977C2×C79semidirect
881. C79#61768direct (N × H)
927. #501C22×C79semidirect
928. #501C22×C79semidirect
929. #499C22×C79semidirect
930. #499C22×C79semidirect
931. #491C22×C79semidirect
932. #490C22×C79semidirect
933. #487C22×C79semidirect
934. #486C22×C79semidirect
943. #485C22×C79semidirect
944. #485C22×C79semidirect
947. #484C22×C79semidirect
948. #484C22×C79semidirect
951. #483C22×C79semidirect
952. #483C22×C79semidirect
961. #482C22×C79semidirect
962. #482C22×C79semidirect
965. #481C22×C79semidirect
966. #481C22×C79semidirect
969. #480C22×C79semidirect
970. #480C22×C79semidirect
971. #479C22×C79semidirect
972. #479C22×C79semidirect
973. #479C22×C79semidirect
974. #479C22×C79semidirect
975. #478C22×C79semidirect
976. #478C22×C79semidirect
977. #478C22×C79semidirect
978. #478C22×C79semidirect
979. #477C22×C79semidirect
980. #476C22×C79semidirect
981. #475C22×C79semidirect
982. #474C22×C79semidirect
983. #470C22×C79semidirect
984. #469C22×C79semidirect
985. #468C22×C79semidirect
986. #468C22×C79semidirect
989. #467C22×C79semidirect
992. #466C22×C79semidirect
997. #465C22×C79semidirect
998. #465C22×C79semidirect
999. #462C22×C79semidirect
1000. #461C22×C79semidirect
1001. #460C22×C79semidirect
1002. #459C22×C79semidirect
1007. #452C22×C79semidirect
1008. #452C22×C79semidirect
1013. #449C22×C79semidirect
1014. #449C22×C79semidirect
1015. #442C22×C79semidirect
1016. #441C22×C79semidirect
1017. #440C22×C79semidirect
1018. #440C22×C79semidirect
1019. C4×Q16C22×C79semidirect
1020. C4×SD16C22×C79semidirect
1021. C4×SD16C22×C79semidirect
1022. C4×D8C22×C79semidirect
1033. #428C22×C79semidirect
1034. #428C22×C79semidirect
1039. C2×#107C22×C79semidirect
1040. C2×#106C22×C79semidirect
1041. #417C22×C79semidirect
1042. #417C22×C79semidirect
1047. #416C22×C79semidirect
1048. #416C22×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#35392
C79×#34932
C79×#33502
C79×#33492
C79×#33482
C79×#33472
C79×#33392
C79×#33372
C79×#33362
C79×#33172
C79×#33152
C79×#33092
C79×#33072
C79×#33052
C79×#33042
C79×#33032
C79×#33022
C79×#32422
C79×#32412
C79×#32042
C79×#32032
C79×#31912
C79×#31202
C79×#31192
C79×#30992
C79×#30982
C79×#30912
C79×#29772
#6176879