Finite Group Databasebeta

← C79×#61522 #34173211

Subgroups — C79×#61522 #34173211

Order 20224.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C79×#3520C211yesmaximal, characteristic, complemented
2C79×#3513C211yesmaximal, characteristic, complemented
3C79×#3401C211yesmaximal, characteristic, complemented
4C79×#3384C211yesmaximal, characteristic, complemented
5C79×#3376C211yesmaximal, characteristic, complemented
6C79×#3373C211yesmaximal, characteristic, complemented
7C79×#3345C211yesmaximal, characteristic, complemented
8C79×#3344C211yesmaximal, characteristic, complemented
9C79×#3335C211yesmaximal, characteristic, complemented
10C79×#3314C211yesmaximal, characteristic, complemented
11C79×#3307C211yesmaximal, characteristic, complemented
12C79×#3306C211yesmaximal, characteristic, complemented
13C79×#3306C211yesmaximal, characteristic, complemented
14C79×#3296C211yesmaximal, characteristic, complemented
15C79×#3295C211yesmaximal, characteristic, complemented
16C79×#3280C211yesmaximal, characteristic, complemented
17C79×#3267C211yesmaximal, characteristic, complemented
18C79×#3264C211yesmaximal, characteristic, complemented
19C79×#3181C211yesmaximal, characteristic, complemented
20C79×#3179C211yesmaximal, characteristic, complemented
21C79×#3173C211yesmaximal, characteristic, complemented
22C79×#3125C211yesmaximal, characteristic, complemented
23C79×#3125C211yesmaximal, characteristic, complemented
24C79×#3119C211yesmaximal, characteristic, complemented
25C79×#3118C211yesmaximal, characteristic, complemented
26C79×#3105C211yesmaximal, characteristic, complemented
27C79×#3101C211yesmaximal, characteristic, complemented
28C79×#2968C211yesmaximal, characteristic, complemented
29C79×#2952C211yesmaximal, characteristic, complemented
30C79×#2946C211yesmaximal, characteristic, complemented
31C2×#442×C79C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
33C2×#135×C79C2211yescharacteristic
34C22×D8×C79C2211yescharacteristic
35#559×C79C2211yescharacteristic, complemented
36#556×C79C2211yescharacteristic, complemented
37#554×C79C2211yescharacteristic
38#554×C79C2211yescharacteristic, complemented
39#554×C79C2211yescharacteristic, complemented
40#553×C79—21no—
41#553×C79C2211yescharacteristic, complemented
42#552×C79—21no—
43#552×C79C2211yescharacteristic
44#551×C79—21no—
45#551×C79—21no—
46#551×C79—21no—
47#551×C79—21no—
48D4×Q8×C79C2211yescharacteristic, complemented
49#548×C79—21no—
50#547×C79C2211yescharacteristic
51#547×C79C2211yescharacteristic, complemented
52#547×C79C2211yescharacteristic, complemented
53#546×C79—21no—
54#546×C79C2211yescharacteristic
55#546×C79C2211yescharacteristic
56#546×C79C2211yescharacteristic, complemented
57#546×C79C2211yescharacteristic, complemented
58D42×C79C2211yescharacteristic
59#542×C79C2211yescharacteristic, complemented
60#542×C79C2211yescharacteristic, complemented
61#542×C79C2211yescharacteristic, complemented
62#540×C79C2211yescharacteristic, complemented
63#539×C79—21no—
64#539×C79—21no—
65#539×C79—21no—
66#538×C79—21no—
67#533×C79C2211yescharacteristic, complemented
68#529×C79C2211yescharacteristic
69#529×C79C2211yescharacteristic
70#525×C79—21no—
71#525×C79—21no—
72C2×#123×C79—21no—
73C2×C22⋊Q8×C79—21no—
74#520×C79C2211yescharacteristic, complemented
75#520×C79C2211yescharacteristic, complemented
76#520×C79C2211yescharacteristic, complemented
77#518×C79C2211yescharacteristic, complemented
78C2×C4×D4×C79C2211yescharacteristic
79C2×C4×D4×C79C2211yescharacteristic, complemented
80#501×C79C2211yescharacteristic, complemented
81#501×C79C2211yescharacteristic, complemented
82#498×C79C2211yescharacteristic, complemented
83#497×C79C2211yescharacteristic, complemented
84#496×C79C2211yescharacteristic
85#495×C79C2211yescharacteristic, complemented
86#491×C79C2211yescharacteristic, complemented
87#489×C79C2211yescharacteristic, complemented
88#489×C79C2211yescharacteristic, complemented
89#489×C79C2211yescharacteristic, complemented
90#488×C79C2211yescharacteristic, complemented
91#486×C79C2211yescharacteristic, complemented
92#485×C79C2211yescharacteristic, complemented
93#484×C79C2211yescharacteristic, complemented
94#483×C79C2211yescharacteristic, complemented
95#483×C79C2211yescharacteristic, complemented
96#483×C79C2211yescharacteristic, complemented
97#483×C79C2211yescharacteristic, complemented
98#482×C79C2211yescharacteristic, complemented
99#481×C79C2211yescharacteristic
100#481×C79C2211yescharacteristic, complemented
101#481×C79C2211yescharacteristic, complemented
102#481×C79C2211yescharacteristic, complemented
103#480×C79C2211yescharacteristic, complemented
104#479×C79C2211yescharacteristic, complemented
105#478×C79C2211yescharacteristic, complemented
106#478×C79C2211yescharacteristic, complemented
107#478×C79C2211yescharacteristic, complemented
108#476×C79C2211yescharacteristic, complemented
109#476×C79C2211yescharacteristic, complemented
110#476×C79C2211yescharacteristic, complemented
111#476×C79C2211yescharacteristic, complemented
112#476×C79C2211yescharacteristic, complemented
113#475×C79C2211yescharacteristic, complemented
114#475×C79C2211yescharacteristic, complemented
115#474×C79C2211yescharacteristic, complemented
116#470×C79C2211yescharacteristic, complemented
117#469×C79C2211yescharacteristic
118#469×C79C2211yescharacteristic, complemented
119#468×C79C2211yescharacteristic, complemented
120#467×C79C2211yescharacteristic, complemented
121#467×C79C2211yescharacteristic, complemented
122#466×C79C2211yescharacteristic, complemented
123#465×C79C2211yescharacteristic
124#465×C79C2211yescharacteristic
125#465×C79C2211yescharacteristic, complemented
126#465×C79C2211yescharacteristic, complemented
127#465×C79C2211yescharacteristic, complemented
128#464×C79C2211yescharacteristic, complemented
129#464×C79C2211yescharacteristic, complemented
130#463×C79C2211yescharacteristic
131#463×C79C2211yescharacteristic
132#463×C79C2211yescharacteristic, complemented
133#463×C79C2211yescharacteristic, complemented
134#463×C79C2211yescharacteristic, complemented
135#463×C79C2211yescharacteristic, complemented
136#461×C79C2211yescharacteristic, complemented
137#461×C79C2211yescharacteristic, complemented
138#460×C79C2211yescharacteristic, complemented
139#459×C79C2211yescharacteristic
140#452×C79C2211yescharacteristic, complemented
141#452×C79C2211yescharacteristic, complemented
142#450×C79C2211yescharacteristic
143#450×C79C2211yescharacteristic
144#450×C79C2211yescharacteristic, complemented
145#450×C79C2211yescharacteristic, complemented
146#449×C79C2211yescharacteristic
147#449×C79C2211yescharacteristic
148#449×C79C2211yescharacteristic, complemented
149#449×C79C2211yescharacteristic, complemented
150#447×C79C2211yescharacteristic
151#447×C79C2211yescharacteristic
152#446×C79C2211yescharacteristic, complemented
153#446×C79C2211yescharacteristic, complemented
154#442×C79C2211yescharacteristic
155#442×C79C2211yescharacteristic
156#442×C79C2211yescharacteristic
157#442×C79C2211yescharacteristic
158#442×C79C2211yescharacteristic
159#442×C79C2211yescharacteristic, complemented
160#442×C79C2211yescharacteristic, complemented
161#442×C79C2211yescharacteristic, complemented
162#442×C79C2211yescharacteristic, complemented
163#442×C79C2211yescharacteristic, complemented
164#441×C79C2211yescharacteristic, complemented
165#441×C79C2211yescharacteristic, complemented
166#441×C79C2211yescharacteristic, complemented
167#440×C79C2211yescharacteristic, complemented
168#440×C79C2211yescharacteristic, complemented
169#440×C79C2211yescharacteristic, complemented
170C4×SD16×C79C2211yescharacteristic, complemented
171C4×SD16×C79C2211yescharacteristic, complemented
172C4×SD16×C79C2211yescharacteristic, complemented
173C4×SD16×C79C2211yescharacteristic, complemented
174C4×SD16×C79C2211yescharacteristic, complemented
175C4×SD16×C79C2211yescharacteristic, complemented
176C4×SD16×C79C2211yescharacteristic, complemented
177C4×SD16×C79C2211yescharacteristic, complemented
178C4×SD16×C79C2211yescharacteristic, complemented
179C4×D8×C79C2211yescharacteristic
180C4×D8×C79C2211yescharacteristic, complemented
181C4×D8×C79C2211yescharacteristic, complemented
182#435×C79C2211yescharacteristic
183#435×C79C2211yescharacteristic, complemented
184#435×C79C2211yescharacteristic, complemented
185#435×C79C2211yescharacteristic, complemented
186C8×D4×C79C2211yescharacteristic
187C8×D4×C79C2211yescharacteristic, complemented
188#433×C79C2211yescharacteristic, complemented
189#433×C79C2211yescharacteristic, complemented
190#431×C79C2211yescharacteristic, complemented
191#428×C79C2211yescharacteristic, complemented
192C2×#106×C79C2211yescharacteristic, complemented
193C2×#106×C79C2211yescharacteristic, complemented
194#417×C79C2211yescharacteristic, complemented
195#417×C79C2211yescharacteristic, complemented
196#416×C79C2211yescharacteristic, complemented
197C2×#102×C79C2211yescharacteristic
198C2×#102×C79C2211yescharacteristic, complemented
199C2×#102×C79C2211yescharacteristic, complemented
200#405×C79C2211yescharacteristic, complemented
201#405×C79C2211yescharacteristic, complemented
202C2×#97×C79C2211yescharacteristic, complemented
203C2×#41×C79—21no—
204C2×#41×C79—21no—
205C2×#41×C79C2311yescharacteristic
206C2×#41×C79C2311yescharacteristic
207C2×#41×C79C2311yescharacteristic
208C22×Q8×C79—21no—
209C22×D4×C79—21no—
210C22×D4×C79C2311yescharacteristic
211C22×D4×C79C2311yescharacteristic
212C22×D4×C79C2311yescharacteristic
213C23×C4×C79—21no—
214C23×C4×C79—21no—
215AGL(1,ℤ/8)×C79—24no—
216#135×C79—24no—
217C2×Q16×C79C2311yescharacteristic
218C2×Q16×C79C2311yescharacteristic
219C2×SD16×C79C2311yescharacteristic
220C2×SD16×C79C2311yescharacteristic
221C2×SD16×C79C2311yescharacteristic
222C2×SD16×C79C2311yescharacteristic
223C2×SD16×C79C2311yescharacteristic
224C2×SD16×C79C2311yescharacteristic
225C2×SD16×C79C2311yescharacteristic
226C2×SD16×C79C2311yescharacteristic
227C2×D8×C79—24no—
228C2×D8×C79C2311yescharacteristic
229C2×D8×C79C2311yescharacteristic
230C2×D8×C79C2311yescharacteristic
231C2×D8×C79C2311yescharacteristic
232C2×D8×C79C2311yescharacteristic
233C2×D8×C79C2311yescharacteristic
234C2×M16×C79C2311yescharacteristic
235C2×M16×C79C2311yescharacteristic
236C22×C8×C79C2311yescharacteristic
237C22×C8×C79C2311yescharacteristic
238C22×C8×C79C2311yescharacteristic
239C22×C8×C79C2311yescharacteristic
240C4⋊Q8×C79C2311yescharacteristic
241C4⋊Q8×C79C2311yescharacteristic
242C4⋊Q8×C79C2311yescharacteristic
243C4⋊Q8×C79C2311yescharacteristic
244C4⋊Q8×C79C2311yescharacteristic
245#127×C79C2311yescharacteristic
246#126×C79—21no—
247#126×C79—21no—
248#126×C79—21no—
249#126×C79—21no—
250#126×C79—21no—
251#126×C79—21no—
252#126×C79—21no—
253#126×C79—21no—
254#126×C79D411yescharacteristic
255#126×C79D411yescharacteristic
256#125×C79—21no—
257#125×C79—21no—
258#125×C79—21no—
259#125×C79—21no—
260#125×C79D411yescharacteristic
261#125×C79C2311yescharacteristic
262#125×C79C2311yescharacteristic
263#124×C79—21no—
264#124×C79—21no—
265#124×C79—21no—
266#124×C79—21no—
267#124×C79D411yescharacteristic
268#124×C79C2311yescharacteristic
269#124×C79C2311yescharacteristic
270#124×C79C2311yescharacteristic
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×C79—21no—
287#123×C79—21no—
288#123×C79—21no—
289#123×C79—21no—
290#123×C79—21no—
291#123×C79—21no—
292#123×C79D411yescharacteristic
293#123×C79D411yescharacteristic
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×C79—21no—
307C22⋊Q8×C79—21no—
308C22⋊Q8×C79—21no—
309C22⋊Q8×C79—21no—
310C22⋊Q8×C79—21no—
311C22⋊Q8×C79D411yescharacteristic
312C22⋊Q8×C79C2311yescharacteristic
313C22⋊Q8×C79C2311yescharacteristic
314C22⋊Q8×C79C2311yescharacteristic
315C22⋊Q8×C79C2311yescharacteristic
316C22⋊Q8×C79C2311yescharacteristic
317C22⋊Q8×C79C2311yescharacteristic
318#121×C79—21no—
319#121×C79—21no—
320#121×C79—21no—
321#121×C79—21no—
322#121×C79—21no—
323#121×C79—21no—
324#121×C79—21no—
325#121×C79—21no—
326#121×C79—21no—
327#121×C79D411yescharacteristic
328#121×C79C2311yescharacteristic
329#121×C79C2311yescharacteristic
330#121×C79C2311yescharacteristic
331#121×C79C2311yescharacteristic
332#121×C79C2311yescharacteristic
333#121×C79C2311yescharacteristic
334#120×C79—21no—
335#120×C79—21no—
336#120×C79—21no—
337#120×C79—21no—
338#120×C79—21no—
339#120×C79—21no—
340C4×Q8×C79—21no—
341C4×Q8×C79C2311yescharacteristic
342C4×Q8×C79C2311yescharacteristic
343C4×Q8×C79C2311yescharacteristic
344C4×Q8×C79C2311yescharacteristic
345C4×Q8×C79C2311yescharacteristic
346C4×Q8×C79C2311yescharacteristic
347C4×Q8×C79C2311yescharacteristic
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×C79—21no—
365C4×D4×C79C2311yescharacteristic
366C4×D4×C79C2311yescharacteristic
367C4×D4×C79C2311yescharacteristic
368C4×D4×C79C2311yescharacteristic
369C4×D4×C79C2311yescharacteristic
370C4×D4×C79C2311yescharacteristic
371C4×D4×C79C2311yescharacteristic
372C4×D4×C79C2311yescharacteristic
373C4×D4×C79C2311yescharacteristic
374C4×D4×C79C2311yescharacteristic
375C4×D4×C79C2311yescharacteristic
376C4×D4×C79C2311yescharacteristic
377C4×D4×C79C2311yescharacteristic
378C4×D4×C79C2311yescharacteristic
379C4×D4×C79C2311yescharacteristic
380C4×D4×C79C2311yescharacteristic
381C4×D4×C79C2311yescharacteristic
382#117×C79—21no—
383#117×C79—21no—
384#117×C79—21no—
385#117×C79—21no—
386#117×C79—21no—
387#117×C79—21no—
388#117×C79—21no—
389#117×C79C2311yescharacteristic
390#117×C79C2311yescharacteristic
391#117×C79C2311yescharacteristic
392C2×C4⋊C4×C79—21no—
393C2×C4⋊C4×C79—21no—
394C2×C4⋊C4×C79—21no—
395C2×C4⋊C4×C79—21no—
396C2×C4⋊C4×C79—21no—
397C2×C4⋊C4×C79C2311yescharacteristic
398C2×C4⋊C4×C79C2311yescharacteristic
399C2×C4⋊C4×C79C2311yescharacteristic
400C2×C4⋊C4×C79C2311yescharacteristic
401C2×C4⋊C4×C79C2311yescharacteristic
402C2×C22⋊C4×C79—21no—
403C2×C22⋊C4×C79—21no—
404C2×C22⋊C4×C79—21no—
405C2×C22⋊C4×C79—21no—
406C2×C22⋊C4×C79—21no—
407C2×C22⋊C4×C79—21no—
408C2×C22⋊C4×C79—21no—
409C2×C22⋊C4×C79—21no—
410C2×C42×C79C2311yescharacteristic
411#107×C79C2311yescharacteristic
412#107×C79C2311yescharacteristic
413#107×C79C2311yescharacteristic
414#107×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
426#106×C79C2311yescharacteristic
427C4⋊C8×C79C2311yescharacteristic
428C4⋊C8×C79C2311yescharacteristic
429C4⋊C8×C79C2311yescharacteristic
430C4⋊C8×C79C2311yescharacteristic
431C4⋊C8×C79C2311yescharacteristic
432C4⋊C8×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#102×C79C2311yescharacteristic
446#102×C79C2311yescharacteristic
447#102×C79C2311yescharacteristic
448#102×C79C2311yescharacteristic
449#102×C79C2311yescharacteristic
450#102×C79C2311yescharacteristic
451#102×C79C2311yescharacteristic
452#102×C79C2311yescharacteristic
453#102×C79C2311yescharacteristic
454#102×C79C2311yescharacteristic
455#102×C79C2311yescharacteristic
456#102×C79C2311yescharacteristic
457#102×C79C2311yescharacteristic
458#102×C79C2311yescharacteristic
459#102×C79C2311yescharacteristic
460#102×C79C2311yescharacteristic
461#102×C79C2311yescharacteristic
462#102×C79C2311yescharacteristic
463#102×C79C2311yescharacteristic
464#102×C79C2311yescharacteristic
465C22⋊C8×C79C2311yescharacteristic
466C22⋊C8×C79C2311yescharacteristic
467C22⋊C8×C79C2311yescharacteristic
468C22⋊C8×C79C2311yescharacteristic
469C22⋊C8×C79C2311yescharacteristic
470C22⋊C8×C79C2311yescharacteristic
471#97×C79C2311yescharacteristic
472#97×C79C2311yescharacteristic
473#97×C79C2311yescharacteristic
474#97×C79C2311yescharacteristic
475#97×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C4×C8×C79C2311yescharacteristic
479C4×C8×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C24×C79—21no—
482C24×C79—21no—
483C24×C79—21no—
484#41×C79—22no—
485#41×C79—22no—
486#41×C79—22no—
487#41×C79—41no—
488#41×C79—41no—
489#41×C79—41no—
490#41×C79—82no—
491#41×C79—82no—
492C2×Q8×C79—21no—
493C2×Q8×C79—21no—
494C2×Q8×C79—21no—
495C2×Q8×C79—21no—
496C2×Q8×C79—82no—
497C2×Q8×C79C2×D411yescharacteristic
498C2×Q8×C79C2411yescharacteristic
499C2×Q8×C79C2411yescharacteristic
500C2×Q8×C79C2411yescharacteristic
501C2×D4×C79—22no—
502C2×D4×C79—22no—
503C2×D4×C79—22no—
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×C79—21no—
515C2×D4×C79—21no—
516C2×D4×C79—21no—
517C2×D4×C79—21no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—82no—
522C2×D4×C79C2×D411yescharacteristic
523C2×D4×C79C2×D411yescharacteristic
524C2×D4×C79C2×D411yescharacteristic
525C2×D4×C79C2411yescharacteristic
526C2×D4×C79C2411yescharacteristic
527C2×D4×C79C2411yescharacteristic
528C2×D4×C79C2411yescharacteristic
529C2×D4×C79C2411yescharacteristic
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—21no—
540C22×C4×C79—21no—
541C22×C4×C79—21no—
542C22×C4×C79—21no—
543C22×C4×C79—21no—
544C22×C4×C79—21no—
545C22×C4×C79—21no—
546C22×C4×C79—21no—
547C22×C4×C79—21no—
548C22×C4×C79—21no—
549C22×C4×C79—21no—
550C22×C4×C79—21no—
551C22×C4×C79—21no—
552C22×C4×C79—82no—
553C22×C4×C79—82no—
554C22×C4×C79C2×D411yescharacteristic
555C22×C4×C79C2×D411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559Q16×C79—22no—
560Q16×C79—41no—
561SD16×C79—22no—
562SD16×C79—22no—
563SD16×C79—22no—
564SD16×C79—22no—
565SD16×C79—41no—
566SD16×C79—41no—
567SD16×C79—41no—
568SD16×C79—41no—
569D8×C79—22no—
570D8×C79—22no—
571D8×C79—22no—
572D8×C79—22no—
573D8×C79—41no—
574D8×C79#4114yescomplemented
575M16×C79—22no—
576M16×C79—41no—
577C2×C8×C79—22no—
578C2×C8×C79—22no—
579C2×C8×C79—41no—
580C2×C8×C79—41no—
581C2×C8×C79C2411yescharacteristic
582C2×C8×C79C2411yescharacteristic
583C2×C8×C79C2411yescharacteristic
584C2×C8×C79C2411yescharacteristic
585C2×C8×C79C2411yescharacteristic
586C2×C8×C79C2411yescharacteristic
587C2×C8×C79C2411yescharacteristic
588C2×C8×C79C2411yescharacteristic
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×C79—21no—
606C4⋊C4×C79—21no—
607C4⋊C4×C79—21no—
608C4⋊C4×C79—21no—
609C4⋊C4×C79—21no—
610C4⋊C4×C79—21no—
611C4⋊C4×C79—21no—
612C4⋊C4×C79—21no—
613C4⋊C4×C79—21no—
614C4⋊C4×C79—21no—
615C4⋊C4×C79—21no—
616C4⋊C4×C79C2×D411yescharacteristic
617C4⋊C4×C79C2×D411yescharacteristic
618C4⋊C4×C79C2×D411yescharacteristic
619C4⋊C4×C79C2×D411yescharacteristic
620C4⋊C4×C79C2×D411yescharacteristic
621C4⋊C4×C79C2×D411yescharacteristic
622C4⋊C4×C79C2×D411yescharacteristic
623C4⋊C4×C79C2×D411yescharacteristic
624C4⋊C4×C79C2×D411yescharacteristic
625C4⋊C4×C79C2×D411yescharacteristic
626C4⋊C4×C79C2411yescharacteristic
627C4⋊C4×C79C2411yescharacteristic
628C4⋊C4×C79C2411yescharacteristic
629C4⋊C4×C79C2411yescharacteristic
630C4⋊C4×C79C2411yescharacteristic
631C4⋊C4×C79C2411yescharacteristic
632C4⋊C4×C79C2411yescharacteristic
633C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C22⋊C4×C79—21no—
669C22⋊C4×C79C2×D411yescharacteristic
670C22⋊C4×C79C2×D411yescharacteristic
671C22⋊C4×C79C2×D411yescharacteristic
672C22⋊C4×C79C2×D411yescharacteristic
673C22⋊C4×C79C2×D411yescharacteristic
674C22⋊C4×C79C2×D411yescharacteristic
675C22⋊C4×C79C2×D411yescharacteristic
676C22⋊C4×C79C2×D411yescharacteristic
677C22⋊C4×C79C2×D411yescharacteristic
678C22⋊C4×C79C2×D411yescharacteristic
679C42×C79—21no—
680C42×C79—21no—
681C42×C79—21no—
682C42×C79—21no—
683C42×C79—21no—
684C42×C79—21no—
685C42×C79—21no—
686C42×C79C2×D411yescharacteristic
687C42×C79C2×D411yescharacteristic
688C42×C79C2411yescharacteristic
689C42×C79C2411yescharacteristic
690C42×C79C2411yescharacteristic
691C42×C79C2411yescharacteristic
692C23×C79—21no—
693C23×C79—21no—
694C23×C79—21no—
695C23×C79—21no—
696C23×C79—21no—
697C23×C79—42no—
698C23×C79—42no—
699C23×C79—42no—
700C23×C79—42no—
701C23×C79—42no—
702C23×C79—81no—
703C23×C79—81no—
704C23×C79—81no—
705C23×C79—81no—
706C23×C79C22×D411yescharacteristic
707C23×C79C22×D411yescharacteristic
708C23×C79C22×D411yescharacteristic
709Q8×C79—21no—
710Q8×C79—21no—
711Q8×C79—21no—
712Q8×C79—21no—
713Q8×C79—21no—
714Q8×C79—21no—
715Q8×C79—41no—
716Q8×C79—42no—
717Q8×C79—81no—
718Q8×C79—81no—
719Q8×C79—81no—
720D4×C79—22no—
721D4×C79—22no—
722D4×C79—21no—
723D4×C79—21no—
724D4×C79—21no—
725D4×C79—21no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—41no—
731D4×C79—42no—
732D4×C79—42no—
733D4×C79—42no—
734D4×C79—42no—
735D4×C79—42no—
736D4×C79—42no—
737D4×C79—42no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
743D4×C79—81no—
744D4×C79—81no—
745D4×C79C2×#4112yes—
746D4×C79C2×#4112yes—
747C2×C4×C79—22no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—41no—
766C2×C4×C79—42no—
767C2×C4×C79—42no—
768C2×C4×C79—42no—
769C2×C4×C79—42no—
770C2×C4×C79—42no—
771C2×C4×C79—42no—
772C2×C4×C79—81no—
773C2×C4×C79—81no—
774C2×C4×C79—81no—
775C2×C4×C79—81no—
776C2×C4×C79—81no—
777C2×C4×C79—81no—
778C2×C4×C79—81no—
779C2×C4×C79—81no—
780C2×C4×C79—81no—
781C2×C4×C79—81no—
782C2×C4×C79—81no—
783C2×C4×C79—81no—
784C2×C4×C79—81no—
785C2×C4×C79—81no—
786C2×C4×C79—81no—
787C2×C4×C79—81no—
788C2×C4×C79C22×D411yescharacteristic
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C22×D411yescharacteristic
791C2×C4×C79C22×D411yescharacteristic
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C22×D411yescharacteristic
794C2×C4×C79C22×D411yescharacteristic
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C22×D411yescharacteristic
799C2×C4×C79C2511yescharacteristic
800C8×C79—21no—
801C8×C79—21no—
802C8×C79—21no—
803C8×C79—21no—
804C8×C79—21no—
805C8×C79—21no—
806C8×C79—21no—
807C8×C79C2×#4112yes—
808C22×C79—21no—
809C22×C79—21no—
810C22×C79—21no—
811C22×C79—21no—
812C22×C79—21no—
813C22×C79—21no—
814C22×C79—22no—
815C22×C79—22no—
816C22×C79—21no—
817C22×C79—21no—
818C22×C79—41no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—84no—
832C22×C79—84no—
833C22×C79—162no—
834C22×C79#57712yes—
835C22×C79C23×D411yescharacteristic
836C4×C79—21no—
837C4×C79—21no—
838C4×C79—21no—
839C4×C79—21no—
840C4×C79—21no—
841C4×C79—21no—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—21no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79C22×#4111yescharacteristic
859C4×C79#58511yescharacteristic
860#61522C7911yesmaximal, characteristic, direct product factor, Sylow
861C2×C79—22no—
862C2×C79—41no—
863C2×C79—41no—
864C2×C79—42no—
865C2×C79—42no—
866C2×C79—81no—
867C2×C79—81no—
868C2×C79—81no—
869C2×C79D4×#4111yescharacteristic
870C2×C79C2×#57711yescharacteristic
871C2×C79#358511yescharacteristic
872#3520C2×C7911yescharacteristic, complemented
873#3513C2×C7911yescharacteristic, complemented
874#3401C2×C7911yescharacteristic, complemented
875#3384C2×C7911yescharacteristic, complemented
876#3376C2×C7911yescharacteristic, complemented
877#3373C2×C7911yescharacteristic, complemented
878#3345C2×C7911yescharacteristic, complemented
879#3344C2×C7911yescharacteristic, complemented
880#3335C2×C7911yescharacteristic, complemented
881#3314C2×C7911yescharacteristic, complemented
882#3307C2×C7911yescharacteristic, complemented
883#3306C2×C7911yescharacteristic, complemented
884#3306C2×C7911yescharacteristic, complemented
885#3296C2×C7911yescharacteristic, complemented
886#3295C2×C7911yescharacteristic, complemented
887#3280C2×C7911yescharacteristic, complemented
888#3267C2×C7911yescharacteristic, complemented
889#3264C2×C7911yescharacteristic, complemented
890#3181C2×C7911yescharacteristic, complemented
891#3179C2×C7911yescharacteristic, complemented
892#3173C2×C7911yescharacteristic, complemented
893#3125C2×C7911yescharacteristic, complemented
894#3125C2×C7911yescharacteristic, complemented
895#3119C2×C7911yescharacteristic, complemented
896#3118C2×C7911yescharacteristic, complemented
897#3105C2×C7911yescharacteristic, complemented
898#3101C2×C7911yescharacteristic, complemented
899#2968C2×C7911yescharacteristic, complemented
900#2952C2×C7911yescharacteristic, complemented
901#2946C2×C7911yescharacteristic, complemented
902C2×#442C2×C7911yescharacteristic, complemented
903C79#6152211yescharacteristic, direct product factor, Sylow
904C2×AGL(1,ℤ/8)C22×C7911yescharacteristic
905C2×#135C22×C7911yescharacteristic
906C22×D8C22×C7911yescharacteristic
907#559C22×C7911yescharacteristic, complemented
908#556C22×C7911yescharacteristic, complemented
909#554C22×C7911yescharacteristic
910#554C22×C7911yescharacteristic, complemented
911#554C22×C7911yescharacteristic, complemented
912#553—21no—
913#553C22×C7911yescharacteristic, complemented
914#552—21no—
915#552C22×C7911yescharacteristic
916#551—21no—
917#551—21no—
918#551—21no—
919#551—21no—
920D4×Q8C22×C7911yescharacteristic, complemented
921#548—21no—
922#547C22×C7911yescharacteristic
923#547C22×C7911yescharacteristic, complemented
924#547C22×C7911yescharacteristic, complemented
925#546—21no—
926#546C22×C7911yescharacteristic
927#546C22×C7911yescharacteristic
928#546C22×C7911yescharacteristic, complemented
929#546C22×C7911yescharacteristic, complemented
930D42C22×C7911yescharacteristic
931#542C22×C7911yescharacteristic, complemented
932#542C22×C7911yescharacteristic, complemented
933#542C22×C7911yescharacteristic, complemented
934#540C22×C7911yescharacteristic, complemented
935#539—21no—
936#539—21no—
937#539—21no—
938#538—21no—
939#533C22×C7911yescharacteristic, complemented
940#529C22×C7911yescharacteristic
941#529C22×C7911yescharacteristic
942#525—21no—
943#525—21no—
944C2×#123—21no—
945C2×C22⋊Q8—21no—
946#520C22×C7911yescharacteristic, complemented
947#520C22×C7911yescharacteristic, complemented
948#520C22×C7911yescharacteristic, complemented
949#518C22×C7911yescharacteristic, complemented
950C2×C4×D4C22×C7911yescharacteristic
951C2×C4×D4C22×C7911yescharacteristic, complemented
952#501C22×C7911yescharacteristic, complemented
953#501C22×C7911yescharacteristic, complemented
954#498C22×C7911yescharacteristic, complemented
955#497C22×C7911yescharacteristic, complemented
956#496C22×C7911yescharacteristic
957#495C22×C7911yescharacteristic, complemented
958#491C22×C7911yescharacteristic, complemented
959#489C22×C7911yescharacteristic, complemented
960#489C22×C7911yescharacteristic, complemented
961#489C22×C7911yescharacteristic, complemented
962#488C22×C7911yescharacteristic, complemented
963#486C22×C7911yescharacteristic, complemented
964#485C22×C7911yescharacteristic, complemented
965#484C22×C7911yescharacteristic, complemented
966#483C22×C7911yescharacteristic, complemented
967#483C22×C7911yescharacteristic, complemented
968#483C22×C7911yescharacteristic, complemented
969#483C22×C7911yescharacteristic, complemented
970#482C22×C7911yescharacteristic, complemented
971#481C22×C7911yescharacteristic
972#481C22×C7911yescharacteristic, complemented
973#481C22×C7911yescharacteristic, complemented
974#481C22×C7911yescharacteristic, complemented
975#480C22×C7911yescharacteristic, complemented
976#479C22×C7911yescharacteristic, complemented
977#478C22×C7911yescharacteristic, complemented
978#478C22×C7911yescharacteristic, complemented
979#478C22×C7911yescharacteristic, complemented
980#476C22×C7911yescharacteristic, complemented
981#476C22×C7911yescharacteristic, complemented
982#476C22×C7911yescharacteristic, complemented
983#476C22×C7911yescharacteristic, complemented
984#476C22×C7911yescharacteristic, complemented
985#475C22×C7911yescharacteristic, complemented
986#475C22×C7911yescharacteristic, complemented
987#474C22×C7911yescharacteristic, complemented
988#470C22×C7911yescharacteristic, complemented
989#469C22×C7911yescharacteristic
990#469C22×C7911yescharacteristic, complemented
991#468C22×C7911yescharacteristic, complemented
992#467C22×C7911yescharacteristic, complemented
993#467C22×C7911yescharacteristic, complemented
994#466C22×C7911yescharacteristic, complemented
995#465C22×C7911yescharacteristic
996#465C22×C7911yescharacteristic
997#465C22×C7911yescharacteristic, complemented
998#465C22×C7911yescharacteristic, complemented
999#465C22×C7911yescharacteristic, complemented
1000#464C22×C7911yescharacteristic, complemented
1001#464C22×C7911yescharacteristic, complemented
1002#463C22×C7911yescharacteristic
1003#463C22×C7911yescharacteristic
1004#463C22×C7911yescharacteristic, complemented
1005#463C22×C7911yescharacteristic, complemented
1006#463C22×C7911yescharacteristic, complemented
1007#463C22×C7911yescharacteristic, complemented
1008#461C22×C7911yescharacteristic, complemented
1009#461C22×C7911yescharacteristic, complemented
1010#460C22×C7911yescharacteristic, complemented
1011#459C22×C7911yescharacteristic
1012#452C22×C7911yescharacteristic, complemented
1013#452C22×C7911yescharacteristic, complemented
1014#450C22×C7911yescharacteristic
1015#450C22×C7911yescharacteristic
1016#450C22×C7911yescharacteristic, complemented
1017#450C22×C7911yescharacteristic, complemented
1018#449C22×C7911yescharacteristic
1019#449C22×C7911yescharacteristic
1020#449C22×C7911yescharacteristic, complemented
1021#449C22×C7911yescharacteristic, complemented
1022#447C22×C7911yescharacteristic
1023#447C22×C7911yescharacteristic
1024#446C22×C7911yescharacteristic, complemented
1025#446C22×C7911yescharacteristic, complemented
1026#442C22×C7911yescharacteristic
1027#442C22×C7911yescharacteristic
1028#442C22×C7911yescharacteristic
1029#442C22×C7911yescharacteristic
1030#442C22×C7911yescharacteristic
1031#442C22×C7911yescharacteristic, complemented
1032#442C22×C7911yescharacteristic, complemented
1033#442C22×C7911yescharacteristic, complemented
1034#442C22×C7911yescharacteristic, complemented
1035#442C22×C7911yescharacteristic, complemented
1036#441C22×C7911yescharacteristic, complemented
1037#441C22×C7911yescharacteristic, complemented
1038#441C22×C7911yescharacteristic, complemented
1039#440C22×C7911yescharacteristic, complemented
1040#440C22×C7911yescharacteristic, complemented
1041#440C22×C7911yescharacteristic, complemented
1042C4×SD16C22×C7911yescharacteristic, complemented
1043C4×SD16C22×C7911yescharacteristic, complemented
1044C4×SD16C22×C7911yescharacteristic, complemented
1045C4×SD16C22×C7911yescharacteristic, complemented
1046C4×SD16C22×C7911yescharacteristic, complemented
1047C4×SD16C22×C7911yescharacteristic, complemented
1048C4×SD16C22×C7911yescharacteristic, complemented
1049C4×SD16C22×C7911yescharacteristic, complemented
1050C4×SD16C22×C7911yescharacteristic, complemented
1051C4×D8C22×C7911yescharacteristic
1052C4×D8C22×C7911yescharacteristic, complemented
1053C4×D8C22×C7911yescharacteristic, complemented
1054#435C22×C7911yescharacteristic
1055#435C22×C7911yescharacteristic, complemented
1056#435C22×C7911yescharacteristic, complemented
1057#435C22×C7911yescharacteristic, complemented
1058C8×D4C22×C7911yescharacteristic
1059C8×D4C22×C7911yescharacteristic, complemented
1060#433C22×C7911yescharacteristic, complemented
1061#433C22×C7911yescharacteristic, complemented
1062#431C22×C7911yescharacteristic, complemented
1063#428C22×C7911yescharacteristic, complemented
1064C2×#106C22×C7911yescharacteristic, complemented
1065C2×#106C22×C7911yescharacteristic, complemented
1066#417C22×C7911yescharacteristic, complemented
1067#417C22×C7911yescharacteristic, complemented
1068#416C22×C7911yescharacteristic, complemented
1069C2×#102C22×C7911yescharacteristic
1070C2×#102C22×C7911yescharacteristic, complemented
1071C2×#102C22×C7911yescharacteristic, complemented
1072#405C22×C7911yescharacteristic, complemented
1073#405C22×C7911yescharacteristic, complemented
1074C2×#97C22×C7911yescharacteristic, complemented
1075C2×#41—21no—
1076C2×#41—21no—
1077C2×#41C23×C7911yescharacteristic
1078C2×#41C23×C7911yescharacteristic
1079C2×#41C23×C7911yescharacteristic
1080C22×Q8—21no—
1081C22×D4—21no—
1082C22×D4C23×C7911yescharacteristic
1083C22×D4C23×C7911yescharacteristic
1084C22×D4C23×C7911yescharacteristic
1085C23×C4—21no—
1086C23×C4—21no—
1087AGL(1,ℤ/8)—24no—
1088#135—24no—
1089C2×Q16C23×C7911yescharacteristic
1090C2×Q16C23×C7911yescharacteristic
1091C2×SD16C23×C7911yescharacteristic
1092C2×SD16C23×C7911yescharacteristic
1093C2×SD16C23×C7911yescharacteristic
1094C2×SD16C23×C7911yescharacteristic
1095C2×SD16C23×C7911yescharacteristic
1096C2×SD16C23×C7911yescharacteristic
1097C2×SD16C23×C7911yescharacteristic
1098C2×SD16C23×C7911yescharacteristic
1099C2×D8—24no—
1100C2×D8C23×C7911yescharacteristic
1101C2×D8C23×C7911yescharacteristic
1102C2×D8C23×C7911yescharacteristic
1103C2×D8C23×C7911yescharacteristic
1104C2×D8C23×C7911yescharacteristic
1105C2×D8C23×C7911yescharacteristic
1106C2×M16C23×C7911yescharacteristic
1107C2×M16C23×C7911yescharacteristic
1108C22×C8C23×C7911yescharacteristic
1109C22×C8C23×C7911yescharacteristic
1110C22×C8C23×C7911yescharacteristic
1111C22×C8C23×C7911yescharacteristic
1112C4⋊Q8C23×C7911yescharacteristic
1113C4⋊Q8C23×C7911yescharacteristic
1114C4⋊Q8C23×C7911yescharacteristic
1115C4⋊Q8C23×C7911yescharacteristic
1116C4⋊Q8C23×C7911yescharacteristic
1117#127C23×C7911yescharacteristic
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126D4×C7911yescharacteristic
1127#126D4×C7911yescharacteristic
1128#125—21no—
1129#125—21no—
1130#125—21no—
1131#125—21no—
1132#125D4×C7911yescharacteristic
1133#125C23×C7911yescharacteristic
1134#125C23×C7911yescharacteristic
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124D4×C7911yescharacteristic
1140#124C23×C7911yescharacteristic
1141#124C23×C7911yescharacteristic
1142#124C23×C7911yescharacteristic
1143#124C23×C7911yescharacteristic
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123D4×C7911yescharacteristic
1165#123D4×C7911yescharacteristic
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8D4×C7911yescharacteristic
1184C22⋊Q8C23×C7911yescharacteristic
1185C22⋊Q8C23×C7911yescharacteristic
1186C22⋊Q8C23×C7911yescharacteristic
1187C22⋊Q8C23×C7911yescharacteristic
1188C22⋊Q8C23×C7911yescharacteristic
1189C22⋊Q8C23×C7911yescharacteristic
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C7911yescharacteristic
1200#121C23×C7911yescharacteristic
1201#121C23×C7911yescharacteristic
1202#121C23×C7911yescharacteristic
1203#121C23×C7911yescharacteristic
1204#121C23×C7911yescharacteristic
1205#121C23×C7911yescharacteristic
1206#120—21no—
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211#120—21no—
1212C4×Q8—21no—
1213C4×Q8C23×C7911yescharacteristic
1214C4×Q8C23×C7911yescharacteristic
1215C4×Q8C23×C7911yescharacteristic
1216C4×Q8C23×C7911yescharacteristic
1217C4×Q8C23×C7911yescharacteristic
1218C4×Q8C23×C7911yescharacteristic
1219C4×Q8C23×C7911yescharacteristic
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4C23×C7911yescharacteristic
1238C4×D4C23×C7911yescharacteristic
1239C4×D4C23×C7911yescharacteristic
1240C4×D4C23×C7911yescharacteristic
1241C4×D4C23×C7911yescharacteristic
1242C4×D4C23×C7911yescharacteristic
1243C4×D4C23×C7911yescharacteristic
1244C4×D4C23×C7911yescharacteristic
1245C4×D4C23×C7911yescharacteristic
1246C4×D4C23×C7911yescharacteristic
1247C4×D4C23×C7911yescharacteristic
1248C4×D4C23×C7911yescharacteristic
1249C4×D4C23×C7911yescharacteristic
1250C4×D4C23×C7911yescharacteristic
1251C4×D4C23×C7911yescharacteristic
1252C4×D4C23×C7911yescharacteristic
1253C4×D4C23×C7911yescharacteristic
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—21no—
1261#117C23×C7911yescharacteristic
1262#117C23×C7911yescharacteristic
1263#117C23×C7911yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—21no—
1268C2×C4⋊C4—21no—
1269C2×C4⋊C4C23×C7911yescharacteristic
1270C2×C4⋊C4C23×C7911yescharacteristic
1271C2×C4⋊C4C23×C7911yescharacteristic
1272C2×C4⋊C4C23×C7911yescharacteristic
1273C2×C4⋊C4C23×C7911yescharacteristic
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C42C23×C7911yescharacteristic
1283#107C23×C7911yescharacteristic
1284#107C23×C7911yescharacteristic
1285#107C23×C7911yescharacteristic
1286#107C23×C7911yescharacteristic
1287#106C23×C7911yescharacteristic
1288#106C23×C7911yescharacteristic
1289#106C23×C7911yescharacteristic
1290#106C23×C7911yescharacteristic
1291#106C23×C7911yescharacteristic
1292#106C23×C7911yescharacteristic
1293#106C23×C7911yescharacteristic
1294#106C23×C7911yescharacteristic
1295#106C23×C7911yescharacteristic
1296#106C23×C7911yescharacteristic
1297#106C23×C7911yescharacteristic
1298#106C23×C7911yescharacteristic
1299C4⋊C8C23×C7911yescharacteristic
1300C4⋊C8C23×C7911yescharacteristic
1301C4⋊C8C23×C7911yescharacteristic
1302C4⋊C8C23×C7911yescharacteristic
1303C4⋊C8C23×C7911yescharacteristic
1304C4⋊C8C23×C7911yescharacteristic
1305#103C23×C7911yescharacteristic
1306#103C23×C7911yescharacteristic
1307#103C23×C7911yescharacteristic
1308#103C23×C7911yescharacteristic
1309#103C23×C7911yescharacteristic
1310#103C23×C7911yescharacteristic
1311#103C23×C7911yescharacteristic
1312#103C23×C7911yescharacteristic
1313#103C23×C7911yescharacteristic
1314#103C23×C7911yescharacteristic
1315#103C23×C7911yescharacteristic
1316#103C23×C7911yescharacteristic
1317#102C23×C7911yescharacteristic
1318#102C23×C7911yescharacteristic
1319#102C23×C7911yescharacteristic
1320#102C23×C7911yescharacteristic
1321#102C23×C7911yescharacteristic
1322#102C23×C7911yescharacteristic
1323#102C23×C7911yescharacteristic
1324#102C23×C7911yescharacteristic
1325#102C23×C7911yescharacteristic
1326#102C23×C7911yescharacteristic
1327#102C23×C7911yescharacteristic
1328#102C23×C7911yescharacteristic
1329#102C23×C7911yescharacteristic
1330#102C23×C7911yescharacteristic
1331#102C23×C7911yescharacteristic
1332#102C23×C7911yescharacteristic
1333#102C23×C7911yescharacteristic
1334#102C23×C7911yescharacteristic
1335#102C23×C7911yescharacteristic
1336#102C23×C7911yescharacteristic
1337C22⋊C8C23×C7911yescharacteristic
1338C22⋊C8C23×C7911yescharacteristic
1339C22⋊C8C23×C7911yescharacteristic
1340C22⋊C8C23×C7911yescharacteristic
1341C22⋊C8C23×C7911yescharacteristic
1342C22⋊C8C23×C7911yescharacteristic
1343#97C23×C7911yescharacteristic
1344#97C23×C7911yescharacteristic
1345#97C23×C7911yescharacteristic
1346#97C23×C7911yescharacteristic
1347#97C23×C7911yescharacteristic
1348#97C23×C7911yescharacteristic
1349C4×C8C23×C7911yescharacteristic
1350C4×C8C23×C7911yescharacteristic
1351C4×C8C23×C7911yescharacteristic
1352C4×C8C23×C7911yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—82no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—82no—
1369C2×Q8C2×D4×C7911yescharacteristic
1370C2×Q8C24×C7911yescharacteristic
1371C2×Q8C24×C7911yescharacteristic
1372C2×Q8C24×C7911yescharacteristic
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—82no—
1394C2×D4C2×D4×C7911yescharacteristic
1395C2×D4C2×D4×C7911yescharacteristic
1396C2×D4C2×D4×C7911yescharacteristic
1397C2×D4C24×C7911yescharacteristic
1398C2×D4C24×C7911yescharacteristic
1399C2×D4C24×C7911yescharacteristic
1400C2×D4C24×C7911yescharacteristic
1401C2×D4C24×C7911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4C2×D4×C7911yescharacteristic
1427C22×C4C2×D4×C7911yescharacteristic
1428C22×C4C24×C7911yescharacteristic
1429C22×C4C24×C7911yescharacteristic
1430C22×C4C24×C7911yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#41×C7914yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C7911yescharacteristic
1454C2×C8C24×C7911yescharacteristic
1455C2×C8C24×C7911yescharacteristic
1456C2×C8C24×C7911yescharacteristic
1457C2×C8C24×C7911yescharacteristic
1458C2×C8C24×C7911yescharacteristic
1459C2×C8C24×C7911yescharacteristic
1460C2×C8C24×C7911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4C2×D4×C7911yescharacteristic
1489C4⋊C4C2×D4×C7911yescharacteristic
1490C4⋊C4C2×D4×C7911yescharacteristic
1491C4⋊C4C2×D4×C7911yescharacteristic
1492C4⋊C4C2×D4×C7911yescharacteristic
1493C4⋊C4C2×D4×C7911yescharacteristic
1494C4⋊C4C2×D4×C7911yescharacteristic
1495C4⋊C4C2×D4×C7911yescharacteristic
1496C4⋊C4C2×D4×C7911yescharacteristic
1497C4⋊C4C2×D4×C7911yescharacteristic
1498C4⋊C4C24×C7911yescharacteristic
1499C4⋊C4C24×C7911yescharacteristic
1500C4⋊C4C24×C7911yescharacteristic
1501C4⋊C4C24×C7911yescharacteristic
1502C4⋊C4C24×C7911yescharacteristic
1503C4⋊C4C24×C7911yescharacteristic
1504C4⋊C4C24×C7911yescharacteristic
1505C4⋊C4C24×C7911yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4C2×D4×C7911yescharacteristic
1542C22⋊C4C2×D4×C7911yescharacteristic
1543C22⋊C4C2×D4×C7911yescharacteristic
1544C22⋊C4C2×D4×C7911yescharacteristic
1545C22⋊C4C2×D4×C7911yescharacteristic
1546C22⋊C4C2×D4×C7911yescharacteristic
1547C22⋊C4C2×D4×C7911yescharacteristic
1548C22⋊C4C2×D4×C7911yescharacteristic
1549C22⋊C4C2×D4×C7911yescharacteristic
1550C22⋊C4C2×D4×C7911yescharacteristic
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42C2×D4×C7911yescharacteristic
1559C42C2×D4×C7911yescharacteristic
1560C42C24×C7911yescharacteristic
1561C42C24×C7911yescharacteristic
1562C42C24×C7911yescharacteristic
1563C42C24×C7911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—81no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C7911yescharacteristic
1579C23C22×D4×C7911yescharacteristic
1580C23C22×D4×C7911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—42no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592D4—22no—
1593D4—22no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4C2×#41×C7912yes—
1618D4C2×#41×C7912yes—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—41no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C7911yescharacteristic
1661C2×C4C22×D4×C7911yescharacteristic
1662C2×C4C22×D4×C7911yescharacteristic
1663C2×C4C22×D4×C7911yescharacteristic
1664C2×C4C22×D4×C7911yescharacteristic
1665C2×C4C22×D4×C7911yescharacteristic
1666C2×C4C22×D4×C7911yescharacteristic
1667C2×C4C22×D4×C7911yescharacteristic
1668C2×C4C22×D4×C7911yescharacteristic
1669C2×C4C22×D4×C7911yescharacteristic
1670C2×C4C22×D4×C7911yescharacteristic
1671C2×C4C25×C7911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C7912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—22no—
1689C22—22no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—84no—
1705C22—162no—
1706C22#577×C7912yes—
1707C22C23×D4×C7911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C7911yescharacteristic
1731C4#585×C7911yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—42no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C7911yescharacteristic
1741C2C2×#577×C7911yescharacteristic
1742C2C79×#358511yescharacteristic
subgroupG/H
center, socleC22×C79C23×D4
commutator, Frattini, cosocleC2×C4C25×C79
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C79 ◁ #529×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C79×#3520C2semidirect
2. C79×#3513C2semidirect
3. C79×#3401C2semidirect
4. C79×#3384C2semidirect
5. C79×#3376C2semidirect
6. C79×#3373C2semidirect
7. C79×#3345C2semidirect
8. C79×#3344C2semidirect
9. C79×#3335C2semidirect
10. C79×#3314C2semidirect
11. C79×#3307C2semidirect
12. C79×#3306C2semidirect
13. C79×#3306C2semidirect
14. C79×#3296C2semidirect
15. C79×#3295C2semidirect
16. C79×#3280C2semidirect
17. C79×#3267C2semidirect
18. C79×#3264C2semidirect
19. C79×#3181C2semidirect
20. C79×#3179C2semidirect
21. C79×#3173C2semidirect
22. C79×#3125C2semidirect
23. C79×#3125C2semidirect
24. C79×#3119C2semidirect
25. C79×#3118C2semidirect
26. C79×#3105C2semidirect
27. C79×#3101C2semidirect
28. C79×#2968C2semidirect
29. C79×#2952C2semidirect
30. C79×#2946C2semidirect
31. C2×#442×C79C2semidirect
35. #559×C79C22semidirect
36. #556×C79C22semidirect
38. #554×C79C22semidirect
39. #554×C79C22semidirect
41. #553×C79C22semidirect
48. D4×Q8×C79C22semidirect
51. #547×C79C22semidirect
52. #547×C79C22semidirect
56. #546×C79C22semidirect
57. #546×C79C22semidirect
59. #542×C79C22semidirect
60. #542×C79C22semidirect
61. #542×C79C22semidirect
62. #540×C79C22semidirect
67. #533×C79C22semidirect
74. #520×C79C22semidirect
75. #520×C79C22semidirect
76. #520×C79C22semidirect
77. #518×C79C22semidirect
79. C2×C4×D4×C79C22semidirect
80. #501×C79C22semidirect
81. #501×C79C22semidirect
82. #498×C79C22semidirect
83. #497×C79C22semidirect
85. #495×C79C22semidirect
86. #491×C79C22semidirect
87. #489×C79C22semidirect
88. #489×C79C22semidirect
89. #489×C79C22semidirect
90. #488×C79C22semidirect
91. #486×C79C22semidirect
92. #485×C79C22semidirect
93. #484×C79C22semidirect
94. #483×C79C22semidirect
95. #483×C79C22semidirect
96. #483×C79C22semidirect
97. #483×C79C22semidirect
98. #482×C79C22semidirect
100. #481×C79C22semidirect
101. #481×C79C22semidirect
102. #481×C79C22semidirect
103. #480×C79C22semidirect
104. #479×C79C22semidirect
105. #478×C79C22semidirect
106. #478×C79C22semidirect
107. #478×C79C22semidirect
108. #476×C79C22semidirect
109. #476×C79C22semidirect
110. #476×C79C22semidirect
111. #476×C79C22semidirect
112. #476×C79C22semidirect
113. #475×C79C22semidirect
114. #475×C79C22semidirect
115. #474×C79C22semidirect
116. #470×C79C22semidirect
118. #469×C79C22semidirect
119. #468×C79C22semidirect
120. #467×C79C22semidirect
121. #467×C79C22semidirect
122. #466×C79C22semidirect
125. #465×C79C22semidirect
126. #465×C79C22semidirect
127. #465×C79C22semidirect
128. #464×C79C22semidirect
129. #464×C79C22semidirect
132. #463×C79C22semidirect
133. #463×C79C22semidirect
134. #463×C79C22semidirect
135. #463×C79C22semidirect
136. #461×C79C22semidirect
137. #461×C79C22semidirect
138. #460×C79C22semidirect
140. #452×C79C22semidirect
141. #452×C79C22semidirect
144. #450×C79C22semidirect
145. #450×C79C22semidirect
148. #449×C79C22semidirect
149. #449×C79C22semidirect
152. #446×C79C22semidirect
153. #446×C79C22semidirect
159. #442×C79C22semidirect
160. #442×C79C22semidirect
161. #442×C79C22semidirect
162. #442×C79C22semidirect
163. #442×C79C22semidirect
164. #441×C79C22semidirect
165. #441×C79C22semidirect
166. #441×C79C22semidirect
167. #440×C79C22semidirect
168. #440×C79C22semidirect
169. #440×C79C22semidirect
170. C4×SD16×C79C22semidirect
171. C4×SD16×C79C22semidirect
172. C4×SD16×C79C22semidirect
173. C4×SD16×C79C22semidirect
174. C4×SD16×C79C22semidirect
175. C4×SD16×C79C22semidirect
176. C4×SD16×C79C22semidirect
177. C4×SD16×C79C22semidirect
178. C4×SD16×C79C22semidirect
180. C4×D8×C79C22semidirect
181. C4×D8×C79C22semidirect
183. #435×C79C22semidirect
184. #435×C79C22semidirect
185. #435×C79C22semidirect
187. C8×D4×C79C22semidirect
188. #433×C79C22semidirect
189. #433×C79C22semidirect
190. #431×C79C22semidirect
191. #428×C79C22semidirect
192. C2×#106×C79C22semidirect
193. C2×#106×C79C22semidirect
194. #417×C79C22semidirect
195. #417×C79C22semidirect
196. #416×C79C22semidirect
198. C2×#102×C79C22semidirect
199. C2×#102×C79C22semidirect
200. #405×C79C22semidirect
201. #405×C79C22semidirect
202. C2×#97×C79C22semidirect
574. D8×C79#41semidirect
860. #61522C79direct (N × H)
872. #3520C2×C79semidirect
873. #3513C2×C79semidirect
874. #3401C2×C79semidirect
875. #3384C2×C79semidirect
876. #3376C2×C79semidirect
877. #3373C2×C79semidirect
878. #3345C2×C79semidirect
879. #3344C2×C79semidirect
880. #3335C2×C79semidirect
881. #3314C2×C79semidirect
882. #3307C2×C79semidirect
883. #3306C2×C79semidirect
884. #3306C2×C79semidirect
885. #3296C2×C79semidirect
886. #3295C2×C79semidirect
887. #3280C2×C79semidirect
888. #3267C2×C79semidirect
889. #3264C2×C79semidirect
890. #3181C2×C79semidirect
891. #3179C2×C79semidirect
892. #3173C2×C79semidirect
893. #3125C2×C79semidirect
894. #3125C2×C79semidirect
895. #3119C2×C79semidirect
896. #3118C2×C79semidirect
897. #3105C2×C79semidirect
898. #3101C2×C79semidirect
899. #2968C2×C79semidirect
900. #2952C2×C79semidirect
901. #2946C2×C79semidirect
902. C2×#442C2×C79semidirect
903. C79#61522direct (N × H)
907. #559C22×C79semidirect
908. #556C22×C79semidirect
910. #554C22×C79semidirect
911. #554C22×C79semidirect
913. #553C22×C79semidirect
920. D4×Q8C22×C79semidirect
923. #547C22×C79semidirect
924. #547C22×C79semidirect
928. #546C22×C79semidirect
929. #546C22×C79semidirect
931. #542C22×C79semidirect
932. #542C22×C79semidirect
933. #542C22×C79semidirect
934. #540C22×C79semidirect
939. #533C22×C79semidirect
946. #520C22×C79semidirect
947. #520C22×C79semidirect
948. #520C22×C79semidirect
949. #518C22×C79semidirect
951. C2×C4×D4C22×C79semidirect
952. #501C22×C79semidirect
953. #501C22×C79semidirect
954. #498C22×C79semidirect
955. #497C22×C79semidirect
957. #495C22×C79semidirect
958. #491C22×C79semidirect
959. #489C22×C79semidirect
960. #489C22×C79semidirect
961. #489C22×C79semidirect
962. #488C22×C79semidirect
963. #486C22×C79semidirect
964. #485C22×C79semidirect
965. #484C22×C79semidirect
966. #483C22×C79semidirect
967. #483C22×C79semidirect
968. #483C22×C79semidirect
969. #483C22×C79semidirect
970. #482C22×C79semidirect
972. #481C22×C79semidirect
973. #481C22×C79semidirect
974. #481C22×C79semidirect
975. #480C22×C79semidirect
976. #479C22×C79semidirect
977. #478C22×C79semidirect
978. #478C22×C79semidirect
979. #478C22×C79semidirect
980. #476C22×C79semidirect
981. #476C22×C79semidirect
982. #476C22×C79semidirect
983. #476C22×C79semidirect
984. #476C22×C79semidirect
985. #475C22×C79semidirect
986. #475C22×C79semidirect
987. #474C22×C79semidirect
988. #470C22×C79semidirect
990. #469C22×C79semidirect
991. #468C22×C79semidirect
992. #467C22×C79semidirect
993. #467C22×C79semidirect
994. #466C22×C79semidirect
997. #465C22×C79semidirect
998. #465C22×C79semidirect
999. #465C22×C79semidirect
1000. #464C22×C79semidirect
1001. #464C22×C79semidirect
1004. #463C22×C79semidirect
1005. #463C22×C79semidirect
1006. #463C22×C79semidirect
1007. #463C22×C79semidirect
1008. #461C22×C79semidirect
1009. #461C22×C79semidirect
1010. #460C22×C79semidirect
1012. #452C22×C79semidirect
1013. #452C22×C79semidirect
1016. #450C22×C79semidirect
1017. #450C22×C79semidirect
1020. #449C22×C79semidirect
1021. #449C22×C79semidirect
1024. #446C22×C79semidirect
1025. #446C22×C79semidirect
1031. #442C22×C79semidirect
1032. #442C22×C79semidirect
1033. #442C22×C79semidirect
1034. #442C22×C79semidirect
1035. #442C22×C79semidirect
1036. #441C22×C79semidirect
1037. #441C22×C79semidirect
1038. #441C22×C79semidirect
1039. #440C22×C79semidirect
1040. #440C22×C79semidirect
1041. #440C22×C79semidirect
1042. C4×SD16C22×C79semidirect
1043. C4×SD16C22×C79semidirect
1044. C4×SD16C22×C79semidirect
1045. C4×SD16C22×C79semidirect
1046. C4×SD16C22×C79semidirect
1047. C4×SD16C22×C79semidirect
1048. C4×SD16C22×C79semidirect
1049. C4×SD16C22×C79semidirect
1050. C4×SD16C22×C79semidirect
1052. C4×D8C22×C79semidirect
1053. C4×D8C22×C79semidirect
1055. #435C22×C79semidirect
1056. #435C22×C79semidirect
1057. #435C22×C79semidirect
1059. C8×D4C22×C79semidirect
1060. #433C22×C79semidirect
1061. #433C22×C79semidirect
1062. #431C22×C79semidirect
1063. #428C22×C79semidirect
1064. C2×#106C22×C79semidirect
1065. C2×#106C22×C79semidirect
1066. #417C22×C79semidirect
1067. #417C22×C79semidirect
1068. #416C22×C79semidirect
1070. C2×#102C22×C79semidirect
1071. C2×#102C22×C79semidirect
1072. #405C22×C79semidirect
1073. #405C22×C79semidirect
1074. C2×#97C22×C79semidirect
1446. D8#41×C79semidirect

Maximal subgroups

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

subgroupindex
C79×#35202
C79×#35132
C79×#34012
C79×#33842
C79×#33762
C79×#33732
C79×#33452
C79×#33442
C79×#33352
C79×#33142
C79×#33072
C79×#33062
C79×#32962
C79×#32952
C79×#32802
C79×#32672
C79×#32642
C79×#31812
C79×#31792
C79×#31732
C79×#31252
C79×#31192
C79×#31182
C79×#31052
C79×#31012
C79×#29682
C79×#29522
C79×#29462
C2×#442×C792
#6152279