Finite Group Databasebeta

← C79×#61781 #34173470

Subgroups — C79×#61781 #34173470

Order 20224.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3541C211yesmaximal, characteristic
2C79×#3495C211yesmaximal, characteristic, complemented
3C79×#3356C211yesmaximal, characteristic, complemented
4C79×#3356C211yesmaximal, characteristic, complemented
5C79×#3352C211yesmaximal, characteristic, complemented
6C79×#3351C211yesmaximal, characteristic, complemented
7C79×#3350C211yesmaximal, characteristic, complemented
8C79×#3349C211yesmaximal, characteristic, complemented
9C79×#3344C211yesmaximal, characteristic, complemented
10C79×#3344C211yesmaximal, characteristic, complemented
11C79×#3331C211yesmaximal, characteristic, complemented
12C79×#3328C211yesmaximal, characteristic, complemented
13C79×#3327C211yesmaximal, characteristic, complemented
14C79×#3327C211yesmaximal, characteristic, complemented
15C79×#3316C211yesmaximal, characteristic, complemented
16C79×#3315C211yesmaximal, characteristic, complemented
17C79×#3313C211yesmaximal, characteristic, complemented
18C79×#3312C211yesmaximal, characteristic, complemented
19C79×#3244C211yesmaximal, characteristic, complemented
20C79×#3242C211yesmaximal, characteristic, complemented
21C79×#3202C211yesmaximal, characteristic, complemented
22C79×#3201C211yesmaximal, characteristic, complemented
23C79×#3196C211yesmaximal, characteristic, complemented
24C79×#3195C211yesmaximal, characteristic, complemented
25C79×#3127C211yesmaximal, characteristic, complemented
26C79×#3121C211yesmaximal, characteristic, complemented
27C79×#3099C211yesmaximal, characteristic, complemented
28C79×#3097C211yesmaximal, characteristic, complemented
29C79×#3095C211yesmaximal, characteristic, complemented
30C79×#3093C211yesmaximal, characteristic, complemented
31C79×#2978C211yesmaximal, characteristic, complemented
32#563×C79—21no—
33#562×C79—21no—
34#556×C79C2211yescharacteristic
35#556×C79C2211yescharacteristic
36#556×C79C2211yescharacteristic
37#554×C79—21no—
38#554×C79C2211yescharacteristic
39#554×C79C2211yescharacteristic
40#554×C79C2211yescharacteristic
41#553×C79—21no—
42#553×C79C2211yescharacteristic
43#552×C79—21no—
44#552×C79—21no—
45#552×C79C2211yescharacteristic
46#552×C79C2211yescharacteristic
47#552×C79C2211yescharacteristic
48#552×C79C2211yescharacteristic
49#552×C79C2211yescharacteristic
50#551×C79—21no—
51#551×C79—21no—
52D4×Q8×C79C2211yescharacteristic
53#548×C79C2211yescharacteristic
54#548×C79C2211yescharacteristic
55#547×C79C2211yescharacteristic
56#544×C79C2211yescharacteristic
57#542×C79—21no—
58#542×C79—21no—
59#542×C79C2211yescharacteristic
60#541×C79—21no—
61#541×C79C2211yescharacteristic
62#539×C79—21no—
63#538×C79—21no—
64#538×C79—21no—
65#537×C79C2211yescharacteristic
66#536×C79C2211yescharacteristic
67#536×C79C2211yescharacteristic
68#533×C79—21no—
69#529×C79—21no—
70#525×C79C2211yescharacteristic
71#525×C79C2211yescharacteristic
72C2×C22⋊Q8×C79C2211yescharacteristic
73C2×C22⋊Q8×C79C2211yescharacteristic
74#520×C79C2211yescharacteristic
75#519×C79C2211yescharacteristic
76C2×#117×C79C2211yescharacteristic
77#501×C79C2211yescharacteristic, complemented
78#501×C79C2211yescharacteristic, complemented
79#499×C79C2211yescharacteristic, complemented
80#498×C79C2211yescharacteristic, complemented
81#491×C79C2211yescharacteristic, complemented
82#489×C79C2211yescharacteristic, complemented
83#488×C79C2211yescharacteristic, complemented
84#487×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
94#485×C79C2211yescharacteristic
95#485×C79C2211yescharacteristic, complemented
96#485×C79C2211yescharacteristic, complemented
97#485×C79C2211yescharacteristic, complemented
98#485×C79C2211yescharacteristic, complemented
99#485×C79C2211yescharacteristic, complemented
100#484×C79C2211yescharacteristic
101#484×C79C2211yescharacteristic
102#484×C79C2211yescharacteristic
103#484×C79C2211yescharacteristic, complemented
104#484×C79C2211yescharacteristic, complemented
105#483×C79C2211yescharacteristic
106#483×C79C2211yescharacteristic
107#483×C79C2211yescharacteristic
108#483×C79C2211yescharacteristic
109#483×C79C2211yescharacteristic
110#483×C79C2211yescharacteristic
111#483×C79C2211yescharacteristic, complemented
112#483×C79C2211yescharacteristic, complemented
113#483×C79C2211yescharacteristic, complemented
114#482×C79C2211yescharacteristic
115#482×C79C2211yescharacteristic
116#482×C79C2211yescharacteristic
117#482×C79C2211yescharacteristic
118#482×C79C2211yescharacteristic, complemented
119#481×C79C2211yescharacteristic
120#481×C79C2211yescharacteristic, complemented
121#479×C79C2211yescharacteristic, complemented
122#479×C79C2211yescharacteristic, complemented
123#479×C79C2211yescharacteristic, complemented
124#479×C79C2211yescharacteristic, complemented
125#479×C79C2211yescharacteristic, complemented
126#478×C79C2211yescharacteristic, complemented
127#477×C79C2211yescharacteristic, complemented
128#477×C79C2211yescharacteristic, complemented
129#476×C79C2211yescharacteristic, complemented
130#475×C79C2211yescharacteristic, complemented
131#475×C79C2211yescharacteristic, complemented
132#475×C79C2211yescharacteristic, complemented
133#470×C79C2211yescharacteristic
134#470×C79C2211yescharacteristic
135#470×C79C2211yescharacteristic
136#470×C79C2211yescharacteristic
137#470×C79C2211yescharacteristic
138#470×C79C2211yescharacteristic
139#470×C79C2211yescharacteristic, complemented
140#470×C79C2211yescharacteristic, complemented
141#470×C79C2211yescharacteristic, complemented
142#468×C79C2211yescharacteristic
143#468×C79C2211yescharacteristic
144#468×C79C2211yescharacteristic, complemented
145#467×C79C2211yescharacteristic, complemented
146#467×C79C2211yescharacteristic, complemented
147#467×C79C2211yescharacteristic, complemented
148#465×C79C2211yescharacteristic, complemented
149#464×C79C2211yescharacteristic, complemented
150#464×C79C2211yescharacteristic, complemented
151#462×C79C2211yescharacteristic, complemented
152#462×C79C2211yescharacteristic, complemented
153#452×C79C2211yescharacteristic
154#452×C79C2211yescharacteristic
155#452×C79C2211yescharacteristic, complemented
156#452×C79C2211yescharacteristic, complemented
157#451×C79C2211yescharacteristic
158#451×C79C2211yescharacteristic
159#451×C79C2211yescharacteristic
160#451×C79C2211yescharacteristic
161#451×C79C2211yescharacteristic
162#451×C79C2211yescharacteristic, complemented
163#451×C79C2211yescharacteristic, complemented
164#448×C79C2211yescharacteristic
165#441×C79C2211yescharacteristic, complemented
166#441×C79C2211yescharacteristic, complemented
167#441×C79C2211yescharacteristic, complemented
168#440×C79C2211yescharacteristic, complemented
169C4×Q16×C79C2211yescharacteristic, complemented
170C4×Q16×C79C2211yescharacteristic, complemented
171C4×Q16×C79C2211yescharacteristic, complemented
172C4×SD16×C79C2211yescharacteristic, complemented
173#436×C79C2211yescharacteristic
174#436×C79C2211yescharacteristic
175#436×C79C2211yescharacteristic
176#436×C79C2211yescharacteristic
177#435×C79C2211yescharacteristic
178#435×C79C2211yescharacteristic
179#435×C79C2211yescharacteristic
180#435×C79C2211yescharacteristic
181#433×C79C2211yescharacteristic
182#433×C79C2211yescharacteristic
183#428×C79C2211yescharacteristic
184#428×C79C2211yescharacteristic
185#428×C79C2211yescharacteristic
186#428×C79C2211yescharacteristic
187#428×C79C2211yescharacteristic, complemented
188#428×C79C2211yescharacteristic, complemented
189#427×C79C2211yescharacteristic, complemented
190C2×#106×C79C2211yescharacteristic, complemented
191#419×C79C2211yescharacteristic
192#419×C79C2211yescharacteristic
193#419×C79C2211yescharacteristic, complemented
194#417×C79C2211yescharacteristic
195#417×C79C2211yescharacteristic
196#417×C79C2211yescharacteristic, complemented
197#416×C79C2211yescharacteristic, complemented
198C2×#103×C79C2211yescharacteristic, complemented
199#408×C79C2211yescharacteristic
200#408×C79C2211yescharacteristic
201#407×C79C2211yescharacteristic
202#407×C79C2211yescharacteristic
203C2×#41×C79C2311yescharacteristic
204C2×#41×C79C2311yescharacteristic
205C2×#41×C79C2311yescharacteristic
206C22×Q8×C79C2311yescharacteristic
207C22×Q8×C79C2311yescharacteristic
208C22×Q8×C79C2311yescharacteristic
209C23×C4×C79C2311yescharacteristic
210C2×Q16×C79C2311yescharacteristic
211C2×Q16×C79C2311yescharacteristic
212C2×Q16×C79C2311yescharacteristic
213C2×Q16×C79C2311yescharacteristic
214C2×Q16×C79C2311yescharacteristic
215C2×Q16×C79C2311yescharacteristic
216C2×SD16×C79C2311yescharacteristic
217C2×SD16×C79C2311yescharacteristic
218C2×M16×C79C2311yescharacteristic
219C2×M16×C79C2311yescharacteristic
220C2×M16×C79C2311yescharacteristic
221C2×M16×C79C2311yescharacteristic
222C2×M16×C79C2311yescharacteristic
223C2×M16×C79C2311yescharacteristic
224C22×C8×C79C2311yescharacteristic
225C22×C8×C79C2311yescharacteristic
226C4⋊Q8×C79—21no—
227C4⋊Q8×C79—21no—
228C4⋊Q8×C79—21no—
229C4⋊Q8×C79—21no—
230C4⋊Q8×C79C2311yescharacteristic
231C4⋊Q8×C79C2311yescharacteristic
232C4⋊Q8×C79C2311yescharacteristic
233C4⋊Q8×C79C2311yescharacteristic
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#126×C79—21no—
248#126×C79—21no—
249#125×C79—21no—
250#125×C79—21no—
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×C79—21no—
260#125×C79C2311yescharacteristic
261#125×C79C2311yescharacteristic
262#125×C79C2311yescharacteristic
263#124×C79—21no—
264#124×C79—21no—
265#124×C79—21no—
266#124×C79—21no—
267#124×C79—21no—
268#124×C79—21no—
269#124×C79—21no—
270#124×C79—21no—
271#124×C79C2311yescharacteristic
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×C79—21no—
282#123×C79—21no—
283#123×C79—21no—
284#123×C79—21no—
285#123×C79—21no—
286#123×C79D411yescharacteristic
287#123×C79D411yescharacteristic
288C22⋊Q8×C79—21no—
289C22⋊Q8×C79—21no—
290C22⋊Q8×C79—21no—
291C22⋊Q8×C79—21no—
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×C79—21no—
305C22⋊Q8×C79—21no—
306C22⋊Q8×C79D411yescharacteristic
307C22⋊Q8×C79D411yescharacteristic
308C22⋊Q8×C79C2311yescharacteristic
309C22⋊Q8×C79C2311yescharacteristic
310C22⋊Q8×C79C2311yescharacteristic
311C22⋊Q8×C79C2311yescharacteristic
312C22⋊Q8×C79C2311yescharacteristic
313C22⋊Q8×C79C2311yescharacteristic
314C22⋊Q8×C79C2311yescharacteristic
315C22⋊Q8×C79C2311yescharacteristic
316C22⋊Q8×C79C2311yescharacteristic
317C22⋊Q8×C79C2311yescharacteristic
318C22⋊Q8×C79C2311yescharacteristic
319C22⋊Q8×C79C2311yescharacteristic
320C22⋊Q8×C79C2311yescharacteristic
321C22⋊Q8×C79C2311yescharacteristic
322C22⋊Q8×C79C2311yescharacteristic
323C22⋊Q8×C79C2311yescharacteristic
324C22⋊Q8×C79C2311yescharacteristic
325#121×C79—21no—
326#121×C79—21no—
327#121×C79—21no—
328#121×C79—21no—
329#121×C79—21no—
330#121×C79—21no—
331#121×C79—21no—
332#121×C79D411yescharacteristic
333#121×C79D411yescharacteristic
334#121×C79C2311yescharacteristic
335#121×C79C2311yescharacteristic
336#121×C79C2311yescharacteristic
337#120×C79—21no—
338#120×C79D411yescharacteristic
339#120×C79D411yescharacteristic
340C4×Q8×C79—21no—
341C4×Q8×C79—21no—
342C4×Q8×C79—21no—
343C4×Q8×C79—21no—
344C4×Q8×C79—21no—
345C4×Q8×C79—21no—
346C4×Q8×C79C2311yescharacteristic
347C4×Q8×C79C2311yescharacteristic
348C4×Q8×C79C2311yescharacteristic
349C4×Q8×C79C2311yescharacteristic
350C4×Q8×C79C2311yescharacteristic
351C4×Q8×C79C2311yescharacteristic
352C4×Q8×C79C2311yescharacteristic
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
370#117×C79—21no—
371#117×C79—21no—
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×C79C2311yescharacteristic
380#117×C79C2311yescharacteristic
381#117×C79C2311yescharacteristic
382#117×C79C2311yescharacteristic
383#117×C79C2311yescharacteristic
384#117×C79C2311yescharacteristic
385#117×C79C2311yescharacteristic
386#117×C79C2311yescharacteristic
387#117×C79C2311yescharacteristic
388C2×C4⋊C4×C79—21no—
389C2×C4⋊C4×C79—21no—
390C2×C4⋊C4×C79—21no—
391C2×C4⋊C4×C79C2311yescharacteristic
392C2×C4⋊C4×C79C2311yescharacteristic
393C2×C4⋊C4×C79C2311yescharacteristic
394C2×C4⋊C4×C79C2311yescharacteristic
395C2×C4⋊C4×C79C2311yescharacteristic
396C2×C4⋊C4×C79C2311yescharacteristic
397C2×C4⋊C4×C79C2311yescharacteristic
398C2×C22⋊C4×C79—21no—
399C2×C22⋊C4×C79—21no—
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#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
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#103×C79C2311yescharacteristic
447#103×C79C2311yescharacteristic
448#103×C79C2311yescharacteristic
449#103×C79C2311yescharacteristic
450#103×C79C2311yescharacteristic
451#103×C79C2311yescharacteristic
452#103×C79C2311yescharacteristic
453#103×C79C2311yescharacteristic
454#103×C79C2311yescharacteristic
455#103×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—
485C2×Q8×C79—21no—
486C2×Q8×C79—21no—
487C2×Q8×C79—21no—
488C2×Q8×C79—21no—
489C2×Q8×C79—21no—
490C2×Q8×C79—21no—
491C2×Q8×C79—41no—
492C2×Q8×C79—41no—
493C2×Q8×C79—41no—
494C2×Q8×C79—41no—
495C2×Q8×C79—41no—
496C2×Q8×C79—41no—
497C2×Q8×C79C2×D411yescharacteristic
498C2×Q8×C79C2411yescharacteristic
499C2×Q8×C79C2411yescharacteristic
500C2×Q8×C79C2411yescharacteristic
501C2×Q8×C79C2411yescharacteristic
502C2×Q8×C79C2411yescharacteristic
503C2×D4×C79—21no—
504C2×D4×C79—21no—
505C2×D4×C79—21no—
506C2×D4×C79—21no—
507C2×D4×C79—21no—
508C2×D4×C79C2×D411yescharacteristic
509C2×D4×C79C2×D411yescharacteristic
510C2×D4×C79C2×D411yescharacteristic
511C2×D4×C79C2×D411yescharacteristic
512C2×D4×C79C2×D411yescharacteristic
513C2×D4×C79C2×D411yescharacteristic
514C2×D4×C79C2×D411yescharacteristic
515C2×D4×C79C2411yescharacteristic
516C22×C4×C79—21no—
517C22×C4×C79—21no—
518C22×C4×C79—21no—
519C22×C4×C79—21no—
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—41no—
530C22×C4×C79—41no—
531C22×C4×C79C2×D411yescharacteristic
532C22×C4×C79C2×D411yescharacteristic
533C22×C4×C79C2×D411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539Q16×C79—41no—
540Q16×C79—41no—
541Q16×C79—41no—
542Q16×C79—41no—
543Q16×C79—41no—
544Q16×C79—41no—
545SD16×C79—41no—
546SD16×C79—41no—
547M16×C79—41no—
548M16×C79—41no—
549M16×C79—41no—
550M16×C79—41no—
551M16×C79—41no—
552M16×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×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×C79C2×D411yescharacteristic
653C22⋊C4×C79C2×D411yescharacteristic
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
662C42×C79—21no—
663C42×C79—21no—
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—41no—
681C23×C79—41no—
682C23×C79—41no—
683C23×C79C22×D411yescharacteristic
684C23×C79C22×D411yescharacteristic
685C23×C79C22×D411yescharacteristic
686C23×C79C22×D411yescharacteristic
687C23×C79C22×D411yescharacteristic
688Q8×C79—21no—
689Q8×C79—21no—
690Q8×C79—21no—
691Q8×C79—21no—
692Q8×C79—21no—
693Q8×C79—21no—
694Q8×C79—21no—
695Q8×C79—21no—
696Q8×C79—21no—
697Q8×C79—21no—
698Q8×C79—41no—
699Q8×C79—42no—
700Q8×C79—81no—
701Q8×C79—81no—
702Q8×C79—81no—
703Q8×C79—81no—
704Q8×C79—81no—
705D4×C79—21no—
706D4×C79—21no—
707D4×C79—41no—
708D4×C79—41no—
709D4×C79—41no—
710D4×C79—41no—
711D4×C79—41no—
712D4×C79—41no—
713D4×C79—41no—
714D4×C79—42no—
715D4×C79—81no—
716D4×C79—81no—
717D4×C79—81no—
718D4×C79—81no—
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—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—41no—
745C2×C4×C79—41no—
746C2×C4×C79—41no—
747C2×C4×C79—42no—
748C2×C4×C79—42no—
749C2×C4×C79—81no—
750C2×C4×C79—81no—
751C2×C4×C79—81no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79—81no—
759C2×C4×C79—81no—
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C22×D411yescharacteristic
766C2×C4×C79C22×D411yescharacteristic
767C2×C4×C79C22×D411yescharacteristic
768C2×C4×C79C22×D411yescharacteristic
769C2×C4×C79C2511yescharacteristic
770C8×C79—21no—
771C8×C79—21no—
772C8×C79—21no—
773C8×C79—21no—
774C8×C79—21no—
775C8×C79—21no—
776C8×C79—21no—
777C8×C79—21no—
778C22×C79—21no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—21no—
782C22×C79—21no—
783C22×C79—21no—
784C22×C79—21no—
785C22×C79—21no—
786C22×C79—21no—
787C22×C79—21no—
788C22×C79—21no—
789C22×C79—21no—
790C22×C79—21no—
791C22×C79—21no—
792C22×C79—21no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—82no—
797C22×C79C23×D411yescharacteristic
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—41no—
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×C79—41no—
820C4×C79—41no—
821C4×C79—41no—
822C4×C79#58511yescharacteristic
823C4×C79#58511yescharacteristic
824#61781C7911yesmaximal, characteristic, direct product factor, Sylow
825C2×C79—41no—
826C2×C79—41no—
827C2×C79—41no—
828C2×C79—41no—
829C2×C79—41no—
830C2×C79—81no—
831C2×C79#348511yescharacteristic
832C2×C79#358611yescharacteristic
833C2×C79#358611yescharacteristic
834#3541C2×C7911yescharacteristic
835#3495C2×C7911yescharacteristic, complemented
836#3356C2×C7911yescharacteristic, complemented
837#3356C2×C7911yescharacteristic, complemented
838#3352C2×C7911yescharacteristic, complemented
839#3351C2×C7911yescharacteristic, complemented
840#3350C2×C7911yescharacteristic, complemented
841#3349C2×C7911yescharacteristic, complemented
842#3344C2×C7911yescharacteristic, complemented
843#3344C2×C7911yescharacteristic, complemented
844#3331C2×C7911yescharacteristic, complemented
845#3328C2×C7911yescharacteristic, complemented
846#3327C2×C7911yescharacteristic, complemented
847#3327C2×C7911yescharacteristic, complemented
848#3316C2×C7911yescharacteristic, complemented
849#3315C2×C7911yescharacteristic, complemented
850#3313C2×C7911yescharacteristic, complemented
851#3312C2×C7911yescharacteristic, complemented
852#3244C2×C7911yescharacteristic, complemented
853#3242C2×C7911yescharacteristic, complemented
854#3202C2×C7911yescharacteristic, complemented
855#3201C2×C7911yescharacteristic, complemented
856#3196C2×C7911yescharacteristic, complemented
857#3195C2×C7911yescharacteristic, complemented
858#3127C2×C7911yescharacteristic, complemented
859#3121C2×C7911yescharacteristic, complemented
860#3099C2×C7911yescharacteristic, complemented
861#3097C2×C7911yescharacteristic, complemented
862#3095C2×C7911yescharacteristic, complemented
863#3093C2×C7911yescharacteristic, complemented
864#2978C2×C7911yescharacteristic, complemented
865C79#6178111yescharacteristic, direct product factor, Sylow
866#563—21no—
867#562—21no—
868#556C22×C7911yescharacteristic
869#556C22×C7911yescharacteristic
870#556C22×C7911yescharacteristic
871#554—21no—
872#554C22×C7911yescharacteristic
873#554C22×C7911yescharacteristic
874#554C22×C7911yescharacteristic
875#553—21no—
876#553C22×C7911yescharacteristic
877#552—21no—
878#552—21no—
879#552C22×C7911yescharacteristic
880#552C22×C7911yescharacteristic
881#552C22×C7911yescharacteristic
882#552C22×C7911yescharacteristic
883#552C22×C7911yescharacteristic
884#551—21no—
885#551—21no—
886D4×Q8C22×C7911yescharacteristic
887#548C22×C7911yescharacteristic
888#548C22×C7911yescharacteristic
889#547C22×C7911yescharacteristic
890#544C22×C7911yescharacteristic
891#542—21no—
892#542—21no—
893#542C22×C7911yescharacteristic
894#541—21no—
895#541C22×C7911yescharacteristic
896#539—21no—
897#538—21no—
898#538—21no—
899#537C22×C7911yescharacteristic
900#536C22×C7911yescharacteristic
901#536C22×C7911yescharacteristic
902#533—21no—
903#529—21no—
904#525C22×C7911yescharacteristic
905#525C22×C7911yescharacteristic
906C2×C22⋊Q8C22×C7911yescharacteristic
907C2×C22⋊Q8C22×C7911yescharacteristic
908#520C22×C7911yescharacteristic
909#519C22×C7911yescharacteristic
910C2×#117C22×C7911yescharacteristic
911#501C22×C7911yescharacteristic, complemented
912#501C22×C7911yescharacteristic, complemented
913#499C22×C7911yescharacteristic, complemented
914#498C22×C7911yescharacteristic, complemented
915#491C22×C7911yescharacteristic, complemented
916#489C22×C7911yescharacteristic, complemented
917#488C22×C7911yescharacteristic, complemented
918#487C22×C7911yescharacteristic, complemented
919#485C22×C7911yescharacteristic
920#485C22×C7911yescharacteristic
921#485C22×C7911yescharacteristic
922#485C22×C7911yescharacteristic
923#485C22×C7911yescharacteristic
924#485C22×C7911yescharacteristic
925#485C22×C7911yescharacteristic
926#485C22×C7911yescharacteristic
927#485C22×C7911yescharacteristic
928#485C22×C7911yescharacteristic
929#485C22×C7911yescharacteristic, complemented
930#485C22×C7911yescharacteristic, complemented
931#485C22×C7911yescharacteristic, complemented
932#485C22×C7911yescharacteristic, complemented
933#485C22×C7911yescharacteristic, complemented
934#484C22×C7911yescharacteristic
935#484C22×C7911yescharacteristic
936#484C22×C7911yescharacteristic
937#484C22×C7911yescharacteristic, complemented
938#484C22×C7911yescharacteristic, complemented
939#483C22×C7911yescharacteristic
940#483C22×C7911yescharacteristic
941#483C22×C7911yescharacteristic
942#483C22×C7911yescharacteristic
943#483C22×C7911yescharacteristic
944#483C22×C7911yescharacteristic
945#483C22×C7911yescharacteristic, complemented
946#483C22×C7911yescharacteristic, complemented
947#483C22×C7911yescharacteristic, complemented
948#482C22×C7911yescharacteristic
949#482C22×C7911yescharacteristic
950#482C22×C7911yescharacteristic
951#482C22×C7911yescharacteristic
952#482C22×C7911yescharacteristic, complemented
953#481C22×C7911yescharacteristic
954#481C22×C7911yescharacteristic, complemented
955#479C22×C7911yescharacteristic, complemented
956#479C22×C7911yescharacteristic, complemented
957#479C22×C7911yescharacteristic, complemented
958#479C22×C7911yescharacteristic, complemented
959#479C22×C7911yescharacteristic, complemented
960#478C22×C7911yescharacteristic, complemented
961#477C22×C7911yescharacteristic, complemented
962#477C22×C7911yescharacteristic, complemented
963#476C22×C7911yescharacteristic, complemented
964#475C22×C7911yescharacteristic, complemented
965#475C22×C7911yescharacteristic, complemented
966#475C22×C7911yescharacteristic, complemented
967#470C22×C7911yescharacteristic
968#470C22×C7911yescharacteristic
969#470C22×C7911yescharacteristic
970#470C22×C7911yescharacteristic
971#470C22×C7911yescharacteristic
972#470C22×C7911yescharacteristic
973#470C22×C7911yescharacteristic, complemented
974#470C22×C7911yescharacteristic, complemented
975#470C22×C7911yescharacteristic, complemented
976#468C22×C7911yescharacteristic
977#468C22×C7911yescharacteristic
978#468C22×C7911yescharacteristic, complemented
979#467C22×C7911yescharacteristic, complemented
980#467C22×C7911yescharacteristic, complemented
981#467C22×C7911yescharacteristic, complemented
982#465C22×C7911yescharacteristic, complemented
983#464C22×C7911yescharacteristic, complemented
984#464C22×C7911yescharacteristic, complemented
985#462C22×C7911yescharacteristic, complemented
986#462C22×C7911yescharacteristic, complemented
987#452C22×C7911yescharacteristic
988#452C22×C7911yescharacteristic
989#452C22×C7911yescharacteristic, complemented
990#452C22×C7911yescharacteristic, complemented
991#451C22×C7911yescharacteristic
992#451C22×C7911yescharacteristic
993#451C22×C7911yescharacteristic
994#451C22×C7911yescharacteristic
995#451C22×C7911yescharacteristic
996#451C22×C7911yescharacteristic, complemented
997#451C22×C7911yescharacteristic, complemented
998#448C22×C7911yescharacteristic
999#441C22×C7911yescharacteristic, complemented
1000#441C22×C7911yescharacteristic, complemented
1001#441C22×C7911yescharacteristic, complemented
1002#440C22×C7911yescharacteristic, complemented
1003C4×Q16C22×C7911yescharacteristic, complemented
1004C4×Q16C22×C7911yescharacteristic, complemented
1005C4×Q16C22×C7911yescharacteristic, complemented
1006C4×SD16C22×C7911yescharacteristic, complemented
1007#436C22×C7911yescharacteristic
1008#436C22×C7911yescharacteristic
1009#436C22×C7911yescharacteristic
1010#436C22×C7911yescharacteristic
1011#435C22×C7911yescharacteristic
1012#435C22×C7911yescharacteristic
1013#435C22×C7911yescharacteristic
1014#435C22×C7911yescharacteristic
1015#433C22×C7911yescharacteristic
1016#433C22×C7911yescharacteristic
1017#428C22×C7911yescharacteristic
1018#428C22×C7911yescharacteristic
1019#428C22×C7911yescharacteristic
1020#428C22×C7911yescharacteristic
1021#428C22×C7911yescharacteristic, complemented
1022#428C22×C7911yescharacteristic, complemented
1023#427C22×C7911yescharacteristic, complemented
1024C2×#106C22×C7911yescharacteristic, complemented
1025#419C22×C7911yescharacteristic
1026#419C22×C7911yescharacteristic
1027#419C22×C7911yescharacteristic, complemented
1028#417C22×C7911yescharacteristic
1029#417C22×C7911yescharacteristic
1030#417C22×C7911yescharacteristic, complemented
1031#416C22×C7911yescharacteristic, complemented
1032C2×#103C22×C7911yescharacteristic, complemented
1033#408C22×C7911yescharacteristic
1034#408C22×C7911yescharacteristic
1035#407C22×C7911yescharacteristic
1036#407C22×C7911yescharacteristic
1037C2×#41C23×C7911yescharacteristic
1038C2×#41C23×C7911yescharacteristic
1039C2×#41C23×C7911yescharacteristic
1040C22×Q8C23×C7911yescharacteristic
1041C22×Q8C23×C7911yescharacteristic
1042C22×Q8C23×C7911yescharacteristic
1043C23×C4C23×C7911yescharacteristic
1044C2×Q16C23×C7911yescharacteristic
1045C2×Q16C23×C7911yescharacteristic
1046C2×Q16C23×C7911yescharacteristic
1047C2×Q16C23×C7911yescharacteristic
1048C2×Q16C23×C7911yescharacteristic
1049C2×Q16C23×C7911yescharacteristic
1050C2×SD16C23×C7911yescharacteristic
1051C2×SD16C23×C7911yescharacteristic
1052C2×M16C23×C7911yescharacteristic
1053C2×M16C23×C7911yescharacteristic
1054C2×M16C23×C7911yescharacteristic
1055C2×M16C23×C7911yescharacteristic
1056C2×M16C23×C7911yescharacteristic
1057C2×M16C23×C7911yescharacteristic
1058C22×C8C23×C7911yescharacteristic
1059C22×C8C23×C7911yescharacteristic
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—21no—
1064C4⋊Q8C23×C7911yescharacteristic
1065C4⋊Q8C23×C7911yescharacteristic
1066C4⋊Q8C23×C7911yescharacteristic
1067C4⋊Q8C23×C7911yescharacteristic
1068#126—21no—
1069#126—21no—
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#126—21no—
1082#126—21no—
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#125—21no—
1092#125—21no—
1093#125—21no—
1094#125C23×C7911yescharacteristic
1095#125C23×C7911yescharacteristic
1096#125C23×C7911yescharacteristic
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124C23×C7911yescharacteristic
1106#123—21no—
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#123D4×C7911yescharacteristic
1121#123D4×C7911yescharacteristic
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
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⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8D4×C7911yescharacteristic
1141C22⋊Q8D4×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
1150C22⋊Q8C23×C7911yescharacteristic
1151C22⋊Q8C23×C7911yescharacteristic
1152C22⋊Q8C23×C7911yescharacteristic
1153C22⋊Q8C23×C7911yescharacteristic
1154C22⋊Q8C23×C7911yescharacteristic
1155C22⋊Q8C23×C7911yescharacteristic
1156C22⋊Q8C23×C7911yescharacteristic
1157C22⋊Q8C23×C7911yescharacteristic
1158C22⋊Q8C23×C7911yescharacteristic
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121D4×C7911yescharacteristic
1167#121D4×C7911yescharacteristic
1168#121C23×C7911yescharacteristic
1169#121C23×C7911yescharacteristic
1170#121C23×C7911yescharacteristic
1171#120—21no—
1172#120D4×C7911yescharacteristic
1173#120D4×C7911yescharacteristic
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—21no—
1179C4×Q8—21no—
1180C4×Q8C23×C7911yescharacteristic
1181C4×Q8C23×C7911yescharacteristic
1182C4×Q8C23×C7911yescharacteristic
1183C4×Q8C23×C7911yescharacteristic
1184C4×Q8C23×C7911yescharacteristic
1185C4×Q8C23×C7911yescharacteristic
1186C4×Q8C23×C7911yescharacteristic
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×D4—21no—
1198C4×D4—21no—
1199C4×D4C23×C7911yescharacteristic
1200C4×D4C23×C7911yescharacteristic
1201C4×D4C23×C7911yescharacteristic
1202C4×D4C23×C7911yescharacteristic
1203C4×D4C23×C7911yescharacteristic
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117C23×C7911yescharacteristic
1214#117C23×C7911yescharacteristic
1215#117C23×C7911yescharacteristic
1216#117C23×C7911yescharacteristic
1217#117C23×C7911yescharacteristic
1218#117C23×C7911yescharacteristic
1219#117C23×C7911yescharacteristic
1220#117C23×C7911yescharacteristic
1221#117C23×C7911yescharacteristic
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4C23×C7911yescharacteristic
1226C2×C4⋊C4C23×C7911yescharacteristic
1227C2×C4⋊C4C23×C7911yescharacteristic
1228C2×C4⋊C4C23×C7911yescharacteristic
1229C2×C4⋊C4C23×C7911yescharacteristic
1230C2×C4⋊C4C23×C7911yescharacteristic
1231C2×C4⋊C4C23×C7911yescharacteristic
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—21no—
1235C2×C42—21no—
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#107C23×C7911yescharacteristic
1245#107C23×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
1256#106C23×C7911yescharacteristic
1257#106C23×C7911yescharacteristic
1258#106C23×C7911yescharacteristic
1259#106C23×C7911yescharacteristic
1260C4⋊C8C23×C7911yescharacteristic
1261C4⋊C8C23×C7911yescharacteristic
1262C4⋊C8C23×C7911yescharacteristic
1263C4⋊C8C23×C7911yescharacteristic
1264#103C23×C7911yescharacteristic
1265#103C23×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#103C23×C7911yescharacteristic
1277#103C23×C7911yescharacteristic
1278#103C23×C7911yescharacteristic
1279#103C23×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#102C23×C7911yescharacteristic
1291#102C23×C7911yescharacteristic
1292#102C23×C7911yescharacteristic
1293#102C23×C7911yescharacteristic
1294#102C23×C7911yescharacteristic
1295#102C23×C7911yescharacteristic
1296C22⋊C8C23×C7911yescharacteristic
1297C22⋊C8C23×C7911yescharacteristic
1298C22⋊C8C23×C7911yescharacteristic
1299C22⋊C8C23×C7911yescharacteristic
1300C22⋊C8C23×C7911yescharacteristic
1301C22⋊C8C23×C7911yescharacteristic
1302C22⋊C8C23×C7911yescharacteristic
1303C22⋊C8C23×C7911yescharacteristic
1304C22⋊C8C23×C7911yescharacteristic
1305C22⋊C8C23×C7911yescharacteristic
1306C22⋊C8C23×C7911yescharacteristic
1307C22⋊C8C23×C7911yescharacteristic
1308#97C23×C7911yescharacteristic
1309#97C23×C7911yescharacteristic
1310C4×C8C23×C7911yescharacteristic
1311C4×C8C23×C7911yescharacteristic
1312C24C2×D4×C7911yescharacteristic
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318#41—41no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—21no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×Q8—41no—
1330C2×Q8—41no—
1331C2×Q8C2×D4×C7911yescharacteristic
1332C2×Q8C24×C7911yescharacteristic
1333C2×Q8C24×C7911yescharacteristic
1334C2×Q8C24×C7911yescharacteristic
1335C2×Q8C24×C7911yescharacteristic
1336C2×Q8C24×C7911yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4C2×D4×C7911yescharacteristic
1343C2×D4C2×D4×C7911yescharacteristic
1344C2×D4C2×D4×C7911yescharacteristic
1345C2×D4C2×D4×C7911yescharacteristic
1346C2×D4C2×D4×C7911yescharacteristic
1347C2×D4C2×D4×C7911yescharacteristic
1348C2×D4C2×D4×C7911yescharacteristic
1349C2×D4C24×C7911yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
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—41no—
1364C22×C4—41no—
1365C22×C4C2×D4×C7911yescharacteristic
1366C22×C4C2×D4×C7911yescharacteristic
1367C22×C4C2×D4×C7911yescharacteristic
1368C22×C4C24×C7911yescharacteristic
1369C22×C4C24×C7911yescharacteristic
1370C22×C4C24×C7911yescharacteristic
1371C22×C4C24×C7911yescharacteristic
1372C22×C4C24×C7911yescharacteristic
1373Q16—41no—
1374Q16—41no—
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—41no—
1379SD16—41no—
1380SD16—41no—
1381M16—41no—
1382M16—41no—
1383M16—41no—
1384M16—41no—
1385M16—41no—
1386M16—41no—
1387C2×C8—41no—
1388C2×C8—41no—
1389C2×C8C24×C7911yescharacteristic
1390C2×C8C24×C7911yescharacteristic
1391C2×C8C24×C7911yescharacteristic
1392C2×C8C24×C7911yescharacteristic
1393C2×C8C24×C7911yescharacteristic
1394C2×C8C24×C7911yescharacteristic
1395C2×C8C24×C7911yescharacteristic
1396C2×C8C24×C7911yescharacteristic
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⋊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⋊C4C2×D4×C7911yescharacteristic
1440C4⋊C4C2×D4×C7911yescharacteristic
1441C4⋊C4C2×D4×C7911yescharacteristic
1442C4⋊C4C2×D4×C7911yescharacteristic
1443C4⋊C4C2×D4×C7911yescharacteristic
1444C4⋊C4C2×D4×C7911yescharacteristic
1445C4⋊C4C24×C7911yescharacteristic
1446C4⋊C4C24×C7911yescharacteristic
1447C4⋊C4C24×C7911yescharacteristic
1448C4⋊C4C24×C7911yescharacteristic
1449C4⋊C4C24×C7911yescharacteristic
1450C4⋊C4C24×C7911yescharacteristic
1451C4⋊C4C24×C7911yescharacteristic
1452C4⋊C4C24×C7911yescharacteristic
1453C4⋊C4C24×C7911yescharacteristic
1454C4⋊C4C24×C7911yescharacteristic
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⋊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⋊C4C2×D4×C7911yescharacteristic
1487C22⋊C4C2×D4×C7911yescharacteristic
1488C22⋊C4C2×D4×C7911yescharacteristic
1489C22⋊C4C2×D4×C7911yescharacteristic
1490C22⋊C4C2×D4×C7911yescharacteristic
1491C22⋊C4C2×D4×C7911yescharacteristic
1492C22⋊C4C2×D4×C7911yescharacteristic
1493C22⋊C4C2×D4×C7911yescharacteristic
1494C22⋊C4C2×D4×C7911yescharacteristic
1495C22⋊C4C2×D4×C7911yescharacteristic
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42C24×C7911yescharacteristic
1512C42C24×C7911yescharacteristic
1513C23—21no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23C22×D4×C7911yescharacteristic
1518C23C22×D4×C7911yescharacteristic
1519C23C22×D4×C7911yescharacteristic
1520C23C22×D4×C7911yescharacteristic
1521C23C22×D4×C7911yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—41no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539D4—21no—
1540D4—21no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
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—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4C22×D4×C7911yescharacteristic
1595C2×C4C22×D4×C7911yescharacteristic
1596C2×C4C22×D4×C7911yescharacteristic
1597C2×C4C22×D4×C7911yescharacteristic
1598C2×C4C22×D4×C7911yescharacteristic
1599C2×C4C22×D4×C7911yescharacteristic
1600C2×C4C22×D4×C7911yescharacteristic
1601C2×C4C22×D4×C7911yescharacteristic
1602C2×C4C22×D4×C7911yescharacteristic
1603C2×C4C25×C7911yescharacteristic
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C8—21no—
1611C8—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—82no—
1631C22C23×D4×C7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4#585×C7911yescharacteristic
1657C4#585×C7911yescharacteristic
1658C2—41no—
1659C2—41no—
1660C2—41no—
1661C2—41no—
1662C2—41no—
1663C2—81no—
1664C2C79×#348511yescharacteristic
1665C2C79×#358611yescharacteristic
1666C2C79×#358611yescharacteristic
subgroupG/H
center, socleC22×C79C23×D4
commutator, Frattini, cosocleC2×C4C25×C79
prime radicalC79×#3541C2
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
2. C79×#3495C2semidirect
3. C79×#3356C2semidirect
4. C79×#3356C2semidirect
5. C79×#3352C2semidirect
6. C79×#3351C2semidirect
7. C79×#3350C2semidirect
8. C79×#3349C2semidirect
9. C79×#3344C2semidirect
10. C79×#3344C2semidirect
11. C79×#3331C2semidirect
12. C79×#3328C2semidirect
13. C79×#3327C2semidirect
14. C79×#3327C2semidirect
15. C79×#3316C2semidirect
16. C79×#3315C2semidirect
17. C79×#3313C2semidirect
18. C79×#3312C2semidirect
19. C79×#3244C2semidirect
20. C79×#3242C2semidirect
21. C79×#3202C2semidirect
22. C79×#3201C2semidirect
23. C79×#3196C2semidirect
24. C79×#3195C2semidirect
25. C79×#3127C2semidirect
26. C79×#3121C2semidirect
27. C79×#3099C2semidirect
28. C79×#3097C2semidirect
29. C79×#3095C2semidirect
30. C79×#3093C2semidirect
31. C79×#2978C2semidirect
77. #501×C79C22semidirect
78. #501×C79C22semidirect
79. #499×C79C22semidirect
80. #498×C79C22semidirect
81. #491×C79C22semidirect
82. #489×C79C22semidirect
83. #488×C79C22semidirect
84. #487×C79C22semidirect
95. #485×C79C22semidirect
96. #485×C79C22semidirect
97. #485×C79C22semidirect
98. #485×C79C22semidirect
99. #485×C79C22semidirect
103. #484×C79C22semidirect
104. #484×C79C22semidirect
111. #483×C79C22semidirect
112. #483×C79C22semidirect
113. #483×C79C22semidirect
118. #482×C79C22semidirect
120. #481×C79C22semidirect
121. #479×C79C22semidirect
122. #479×C79C22semidirect
123. #479×C79C22semidirect
124. #479×C79C22semidirect
125. #479×C79C22semidirect
126. #478×C79C22semidirect
127. #477×C79C22semidirect
128. #477×C79C22semidirect
129. #476×C79C22semidirect
130. #475×C79C22semidirect
131. #475×C79C22semidirect
132. #475×C79C22semidirect
139. #470×C79C22semidirect
140. #470×C79C22semidirect
141. #470×C79C22semidirect
144. #468×C79C22semidirect
145. #467×C79C22semidirect
146. #467×C79C22semidirect
147. #467×C79C22semidirect
148. #465×C79C22semidirect
149. #464×C79C22semidirect
150. #464×C79C22semidirect
151. #462×C79C22semidirect
152. #462×C79C22semidirect
155. #452×C79C22semidirect
156. #452×C79C22semidirect
162. #451×C79C22semidirect
163. #451×C79C22semidirect
165. #441×C79C22semidirect
166. #441×C79C22semidirect
167. #441×C79C22semidirect
168. #440×C79C22semidirect
169. C4×Q16×C79C22semidirect
170. C4×Q16×C79C22semidirect
171. C4×Q16×C79C22semidirect
172. C4×SD16×C79C22semidirect
187. #428×C79C22semidirect
188. #428×C79C22semidirect
189. #427×C79C22semidirect
190. C2×#106×C79C22semidirect
193. #419×C79C22semidirect
196. #417×C79C22semidirect
197. #416×C79C22semidirect
198. C2×#103×C79C22semidirect
824. #61781C79direct (N × H)
835. #3495C2×C79semidirect
836. #3356C2×C79semidirect
837. #3356C2×C79semidirect
838. #3352C2×C79semidirect
839. #3351C2×C79semidirect
840. #3350C2×C79semidirect
841. #3349C2×C79semidirect
842. #3344C2×C79semidirect
843. #3344C2×C79semidirect
844. #3331C2×C79semidirect
845. #3328C2×C79semidirect
846. #3327C2×C79semidirect
847. #3327C2×C79semidirect
848. #3316C2×C79semidirect
849. #3315C2×C79semidirect
850. #3313C2×C79semidirect
851. #3312C2×C79semidirect
852. #3244C2×C79semidirect
853. #3242C2×C79semidirect
854. #3202C2×C79semidirect
855. #3201C2×C79semidirect
856. #3196C2×C79semidirect
857. #3195C2×C79semidirect
858. #3127C2×C79semidirect
859. #3121C2×C79semidirect
860. #3099C2×C79semidirect
861. #3097C2×C79semidirect
862. #3095C2×C79semidirect
863. #3093C2×C79semidirect
864. #2978C2×C79semidirect
865. C79#61781direct (N × H)
911. #501C22×C79semidirect
912. #501C22×C79semidirect
913. #499C22×C79semidirect
914. #498C22×C79semidirect
915. #491C22×C79semidirect
916. #489C22×C79semidirect
917. #488C22×C79semidirect
918. #487C22×C79semidirect
929. #485C22×C79semidirect
930. #485C22×C79semidirect
931. #485C22×C79semidirect
932. #485C22×C79semidirect
933. #485C22×C79semidirect
937. #484C22×C79semidirect
938. #484C22×C79semidirect
945. #483C22×C79semidirect
946. #483C22×C79semidirect
947. #483C22×C79semidirect
952. #482C22×C79semidirect
954. #481C22×C79semidirect
955. #479C22×C79semidirect
956. #479C22×C79semidirect
957. #479C22×C79semidirect
958. #479C22×C79semidirect
959. #479C22×C79semidirect
960. #478C22×C79semidirect
961. #477C22×C79semidirect
962. #477C22×C79semidirect
963. #476C22×C79semidirect
964. #475C22×C79semidirect
965. #475C22×C79semidirect
966. #475C22×C79semidirect
973. #470C22×C79semidirect
974. #470C22×C79semidirect
975. #470C22×C79semidirect
978. #468C22×C79semidirect
979. #467C22×C79semidirect
980. #467C22×C79semidirect
981. #467C22×C79semidirect
982. #465C22×C79semidirect
983. #464C22×C79semidirect
984. #464C22×C79semidirect
985. #462C22×C79semidirect
986. #462C22×C79semidirect
989. #452C22×C79semidirect
990. #452C22×C79semidirect
996. #451C22×C79semidirect
997. #451C22×C79semidirect
999. #441C22×C79semidirect
1000. #441C22×C79semidirect
1001. #441C22×C79semidirect
1002. #440C22×C79semidirect
1003. C4×Q16C22×C79semidirect
1004. C4×Q16C22×C79semidirect
1005. C4×Q16C22×C79semidirect
1006. C4×SD16C22×C79semidirect
1021. #428C22×C79semidirect
1022. #428C22×C79semidirect
1023. #427C22×C79semidirect
1024. C2×#106C22×C79semidirect
1027. #419C22×C79semidirect
1030. #417C22×C79semidirect
1031. #416C22×C79semidirect
1032. C2×#103C22×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#35412
C79×#34952
C79×#33562
C79×#33522
C79×#33512
C79×#33502
C79×#33492
C79×#33442
C79×#33312
C79×#33282
C79×#33272
C79×#33162
C79×#33152
C79×#33132
C79×#33122
C79×#32442
C79×#32422
C79×#32022
C79×#32012
C79×#31962
C79×#31952
C79×#31272
C79×#31212
C79×#30992
C79×#30972
C79×#30952
C79×#30932
C79×#29782
#6178179