Finite Group Databasebeta

← #35179028

Subgroups — #35179028

Order 20224.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777221C211yesmaximal, characteristic, complemented
2#23776363C211yesmaximal, characteristic, complemented
3#23776354C211yesmaximal, characteristic, complemented
4#23776345C211yesmaximal, characteristic, complemented
5#23776339C211yesmaximal, characteristic, complemented
6#23776287C211yesmaximal, characteristic, complemented
7#23776275C211yesmaximal, characteristic, complemented
8#23776271C211yesmaximal, characteristic, complemented
9#23776263C211yesmaximal, characteristic, complemented
10#23776236C211yesmaximal, characteristic, complemented
11#23776221C211yesmaximal, characteristic, complemented
12#23776162C211yesmaximal, characteristic, complemented
13#23776147C211yesmaximal, characteristic, complemented
14#23776092C211yesmaximal, characteristic, complemented
15#23776081C211yesmaximal, characteristic, complemented
16#23776056C211yesmaximal, characteristic, complemented
17#23776045C211yesmaximal, characteristic, complemented
18#23774692C211yesmaximal, characteristic, complemented
19#23774677C211yesmaximal, characteristic, complemented
20#23774662C211yesmaximal, characteristic, complemented
21#23774647C211yesmaximal, characteristic, complemented
22#23774564C211yesmaximal, characteristic, complemented
23#23774564C211yesmaximal, characteristic, complemented
24#23773671C211yesmaximal, characteristic, complemented
25#23773656C211yesmaximal, characteristic, complemented
26#23773608C211yesmaximal, characteristic, complemented
27#23773593C211yesmaximal, characteristic
28#23773412C211yesmaximal, characteristic, complemented
29#23773412C211yesmaximal, characteristic, complemented
30#23772502C211yesmaximal, characteristic, complemented
31C79×#3557C211yesmaximal, characteristic, complemented
32#19099291C2211yescharacteristic
33#19099291C2211yescharacteristic
34#19099291C2211yescharacteristic
35#19099291C2211yescharacteristic
36#19099273C2211yescharacteristic
37#19099273C2211yescharacteristic
38#19099273C2211yescharacteristic
39#19099273C2211yescharacteristic
40#19099267—21no—
41#19099267—21no—
42#19099267—21no—
43#19099267—21no—
44#19099191C2211yescharacteristic
45#19099191C2211yescharacteristic
46#19099190—21no—
47#19099190—21no—
48#19099119—21no—
49C2×#14579153C2211yescharacteristic
50#125×D79—21no—
51#19099043C2211yescharacteristic
52#19099043C2211yescharacteristic
53C4×#11929624C2211yescharacteristic
54#19098973C2211yescharacteristic
55#19098973C2211yescharacteristic
56#19098969C2211yescharacteristic
57#19098969C2211yescharacteristic
58#19098966C2211yescharacteristic
59#19098962C2211yescharacteristic
60#19098962C2211yescharacteristic
61#19098962C2211yescharacteristic
62#19098962C2211yescharacteristic
63#19098962C2211yescharacteristic
64#19098962C2211yescharacteristic
65#19098959C2211yescharacteristic
66#19098931C2211yescharacteristic
67#19098927C2211yescharacteristic
68#19098922C2211yescharacteristic
69#19098922C2211yescharacteristic
70#19098917C2211yescharacteristic
71#19098917C2211yescharacteristic
72#19098917C2211yescharacteristic
73#19098917C2211yescharacteristic
74#19098917C2211yescharacteristic
75#19098917C2211yescharacteristic
76#19098913C2211yescharacteristic
77#19098909C2211yescharacteristic
78#19098901C2211yescharacteristic
79#19098901C2211yescharacteristic
80#19098896C2211yescharacteristic
81#19098896C2211yescharacteristic
82#19098891C2211yescharacteristic
83#19098891C2211yescharacteristic
84#19098884C2211yescharacteristic
85#19098884C2211yescharacteristic
86#19098879C2211yescharacteristic
87#19098879C2211yescharacteristic
88#19098874C2211yescharacteristic
89#19098874C2211yescharacteristic
90#19098870C2211yescharacteristic
91#19098870C2211yescharacteristic
92#19098870C2211yescharacteristic
93#19098870C2211yescharacteristic
94#19098870C2211yescharacteristic
95#19098870C2211yescharacteristic
96#19098870C2211yescharacteristic
97#19098870C2211yescharacteristic
98#19098867C2211yescharacteristic
99#19098867C2211yescharacteristic
100#19098867C2211yescharacteristic
101#19098867C2211yescharacteristic
102#19098863C2211yescharacteristic
103#19098863C2211yescharacteristic
104#19098863C2211yescharacteristic
105#19098863C2211yescharacteristic
106#19098863C2211yescharacteristic
107#19098863C2211yescharacteristic
108#19098863C2211yescharacteristic
109#19098863C2211yescharacteristic
110#19098860C2211yescharacteristic
111#19098860C2211yescharacteristic
112#19098860C2211yescharacteristic
113#19098860C2211yescharacteristic
114#19098858C2211yescharacteristic
115#19098858C2211yescharacteristic
116#19098855C2211yescharacteristic
117#19098853C2211yescharacteristic
118#19098853C2211yescharacteristic
119#19098850C2211yescharacteristic
120#19098848C2211yescharacteristic
121#19098848C2211yescharacteristic
122#19098845C2211yescharacteristic
123#19098843C2211yescharacteristic
124#19098843C2211yescharacteristic
125#19098840C2211yescharacteristic
126#19098782C2211yescharacteristic
127#19098782C2211yescharacteristic
128#19098782C2211yescharacteristic
129#19098782C2211yescharacteristic
130#19098775C2211yescharacteristic
131#19098775C2211yescharacteristic
132#19098775C2211yescharacteristic
133#19098775C2211yescharacteristic
134#19098770C2211yescharacteristic
135#19098765C2211yescharacteristic
136#19098760C2211yescharacteristic
137#19098755C2211yescharacteristic
138#19098723C2211yescharacteristic
139#19098723C2211yescharacteristic
140#19098706C2211yescharacteristic
141#19098706C2211yescharacteristic
142#19098694C2211yescharacteristic
143#19098694C2211yescharacteristic
144#19098694C2211yescharacteristic
145#19098694C2211yescharacteristic
146Q8×C79⋊C8C2211yescharacteristic
147Q8×C79⋊C8C2211yescharacteristic
148Q8×C79⋊C8C2211yescharacteristic
149Q8×C79⋊C8C2211yescharacteristic
150#19098673C2211yescharacteristic
151#19098673C2211yescharacteristic
152#19098668C2211yescharacteristic
153#19098668C2211yescharacteristic
154#19098663C2211yescharacteristic
155#19098663C2211yescharacteristic
156#19098661C2211yescharacteristic
157#19098661C2211yescharacteristic
158C4×#11929614C2211yescharacteristic
159C4×#11929614C2211yescharacteristic
160C4×#11929614C2211yescharacteristic
161C4×#11929614C2211yescharacteristic
162C4×#11929611C2211yescharacteristic
163C4×#11929611C2211yescharacteristic
164C4×#11929611C2211yescharacteristic
165C4×#11929611C2211yescharacteristic
166C4×#11929612C2211yescharacteristic
167C4×#11929612C2211yescharacteristic
168C4×#11929612C2211yescharacteristic
169C4×#11929612C2211yescharacteristic
170C4×#11929609C2211yescharacteristic
171C4×#11929609C2211yescharacteristic
172C4×#11929609C2211yescharacteristic
173C4×#11929609C2211yescharacteristic
174#19098624C2211yescharacteristic
175#19098624C2211yescharacteristic
176#19098624C2211yescharacteristic
177#19098624C2211yescharacteristic
178#19098616C2211yescharacteristic
179#19098616C2211yescharacteristic
180#563×C79—21no—
181#563×C79—21no—
182#559×C79C2211yescharacteristic
183#559×C79C2211yescharacteristic
184#557×C79C2211yescharacteristic
185#557×C79C2211yescharacteristic
186#556×C79C2211yescharacteristic
187#556×C79C2211yescharacteristic
188#554×C79C2211yescharacteristic
189#554×C79C2211yescharacteristic
190#552×C79—21no—
191#552×C79—21no—
192#542×C79—21no—
193#542×C79—21no—
194#542×C79C2211yescharacteristic
195#542×C79C2211yescharacteristic
196#541×C79C2211yescharacteristic
197#540×C79C2211yescharacteristic
198#539×C79—21no—
199#539×C79—21no—
200#533×C79C2211yescharacteristic
201#529×C79C2211yescharacteristic
202#529×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929614C2311yescharacteristic
205C2×#11929614C2311yescharacteristic
206C2×#11929612C2311yescharacteristic
207C2×#11929612C2311yescharacteristic
208C2×#11929611C2311yescharacteristic
209C2×#11929611C2311yescharacteristic
210C2×#11929609C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212#14579161C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160—21no—
218#14579159—21no—
219#14579159—21no—
220#14579159—21no—
221#14579159—21no—
222#14579153—21no—
223#14579153—21no—
224#14579153C2311yescharacteristic
225#14579153C2311yescharacteristic
226#14579153C2311yescharacteristic
227#14579153C2311yescharacteristic
228#14579153C2311yescharacteristic
229#14579153C2311yescharacteristic
230#14579153C2311yescharacteristic
231#14579153C2311yescharacteristic
232#14579152—21no—
233#14579152—21no—
234#14579151—21no—
235#14579151—21no—
236#14579151—21no—
237#14579151—21no—
238#14579151—21no—
239#14579151—21no—
240#14579151—21no—
241#14579151—21no—
242#14579139—21no—
243#14579139—21no—
244#14579139—21no—
245#14579139—21no—
246#14579139—21no—
247#14579139—21no—
248#14579139—21no—
249#14579139—21no—
250#14579138—21no—
251#14579138—21no—
252#14579138—21no—
253#14579138—21no—
254#14579137—21no—
255#14579137—21no—
256#14579137—21no—
257#14579137—21no—
258C4×Dic158C2311yescharacteristic
259C4×Dic158C2311yescharacteristic
260C4×Dic158C2311yescharacteristic
261C4×Dic158C2311yescharacteristic
262C4×Dic158C2311yescharacteristic
263C4×Dic158C2311yescharacteristic
264#14579126—21no—
265#14579126—21no—
266#14579126—21no—
267#14579126—21no—
268C4×D316C2311yescharacteristic
269C4×D316C2311yescharacteristic
270C4×D316C2311yescharacteristic
271C4×D316C2311yescharacteristic
272C4×D316C2311yescharacteristic
273C4×D316C2311yescharacteristic
274C4×C22⋊D79—21no—
275C4×C22⋊D79—21no—
276(C22⋊D79)⋊C4—21no—
277(C22⋊D79)⋊C4—21no—
278(C22⋊D79)⋊C4—21no—
279(C22⋊D79)⋊C4—21no—
280#14579120C2311yescharacteristic
281#14579119—21no—
282#14579119—21no—
283#14579118—21no—
284C2×C4⋊Dic79C2311yescharacteristic
285C2×C4⋊Dic79C2311yescharacteristic
286C2×Dic79⋊C4—21no—
287C2×Dic79⋊C4—21no—
288C4⋊C4×D79—21no—
289C4⋊C4×D79—21no—
290C4⋊C4×D79—21no—
291C4⋊C4×D79—21no—
292C4⋊C4×D79—21no—
293C4⋊C4×D79—21no—
294C42×D79—21no—
295#14579094C2311yescharacteristic
296#14579094C2311yescharacteristic
297#14579094C2311yescharacteristic
298#14579094C2311yescharacteristic
299#14579094C2311yescharacteristic
300#14579094C2311yescharacteristic
301#14579094C2311yescharacteristic
302#14579094C2311yescharacteristic
303#14579094C2311yescharacteristic
304#14579094C2311yescharacteristic
305#14579094C2311yescharacteristic
306#14579094C2311yescharacteristic
307#14579092C2311yescharacteristic
308#14579092C2311yescharacteristic
309#14579092C2311yescharacteristic
310#14579092C2311yescharacteristic
311#14579092C2311yescharacteristic
312#14579092C2311yescharacteristic
313#14579092C2311yescharacteristic
314#14579092C2311yescharacteristic
315#14579092C2311yescharacteristic
316#14579092C2311yescharacteristic
317#14579092C2311yescharacteristic
318#14579092C2311yescharacteristic
319C4⋊(C79⋊C8)C2311yescharacteristic
320C4⋊(C79⋊C8)C2311yescharacteristic
321C4⋊(C79⋊C8)C2311yescharacteristic
322C4⋊(C79⋊C8)C2311yescharacteristic
323C4⋊(C79⋊C8)C2311yescharacteristic
324C4⋊(C79⋊C8)C2311yescharacteristic
325C4⋊(C79⋊C8)C2311yescharacteristic
326C4⋊(C79⋊C8)C2311yescharacteristic
327C4⋊(C79⋊C8)C2311yescharacteristic
328C4⋊(C79⋊C8)C2311yescharacteristic
329C4⋊(C79⋊C8)C2311yescharacteristic
330C4⋊(C79⋊C8)C2311yescharacteristic
331#14579085C2311yescharacteristic
332#14579085C2311yescharacteristic
333#14579085C2311yescharacteristic
334#14579085C2311yescharacteristic
335#14579085C2311yescharacteristic
336#14579085C2311yescharacteristic
337#14579085C2311yescharacteristic
338#14579085C2311yescharacteristic
339#14579085C2311yescharacteristic
340#14579085C2311yescharacteristic
341#14579085C2311yescharacteristic
342#14579085C2311yescharacteristic
343#14579084C2311yescharacteristic
344#14579084C2311yescharacteristic
345#14579084C2311yescharacteristic
346#14579084C2311yescharacteristic
347#14579082C2311yescharacteristic
348#14579082C2311yescharacteristic
349#14579082C2311yescharacteristic
350#14579082C2311yescharacteristic
351#14579082C2311yescharacteristic
352#14579082C2311yescharacteristic
353#14579082C2311yescharacteristic
354#14579082C2311yescharacteristic
355#14579082C2311yescharacteristic
356#14579082C2311yescharacteristic
357#14579082C2311yescharacteristic
358#14579082C2311yescharacteristic
359#14579081C2311yescharacteristic
360#14579081C2311yescharacteristic
361#14579081C2311yescharacteristic
362#14579081C2311yescharacteristic
363C22⋊(C79⋊C8)C2311yescharacteristic
364C22⋊(C79⋊C8)C2311yescharacteristic
365C22⋊(C79⋊C8)C2311yescharacteristic
366C22⋊(C79⋊C8)C2311yescharacteristic
367#14579072C2311yescharacteristic
368#14579072C2311yescharacteristic
369#14579072C2311yescharacteristic
370#14579072C2311yescharacteristic
371C4×C79⋊C8C2311yescharacteristic
372C4×C79⋊C8C2311yescharacteristic
373C4×C79⋊C8C2311yescharacteristic
374C4×C79⋊C8C2311yescharacteristic
375C4×C79⋊C8C2311yescharacteristic
376C4×C79⋊C8C2311yescharacteristic
377C4×C79⋊C8C2311yescharacteristic
378C4×C79⋊C8C2311yescharacteristic
379C4⋊Q8×C79—21no—
380C4⋊Q8×C79—21no—
381C4⋊Q8×C79D411yescharacteristic
382C4⋊Q8×C79D411yescharacteristic
383C4⋊Q8×C79C2311yescharacteristic
384C4⋊Q8×C79C2311yescharacteristic
385C4⋊Q8×C79C2311yescharacteristic
386#127×C79C2311yescharacteristic
387#126×C79—21no—
388#126×C79—21no—
389#126×C79—21no—
390#126×C79—21no—
391#126×C79—21no—
392#126×C79—21no—
393#126×C79—21no—
394#126×C79—21no—
395#126×C79—21no—
396#126×C79—21no—
397#125×C79—21no—
398#125×C79—21no—
399#125×C79—21no—
400#125×C79—21no—
401#125×C79—21no—
402#125×C79—21no—
403#125×C79D411yescharacteristic
404#125×C79D411yescharacteristic
405#125×C79C2311yescharacteristic
406#125×C79C2311yescharacteristic
407#125×C79C2311yescharacteristic
408#125×C79C2311yescharacteristic
409#124×C79—21no—
410#124×C79—21no—
411#124×C79—21no—
412#124×C79—21no—
413#124×C79C2311yescharacteristic
414#124×C79C2311yescharacteristic
415#124×C79C2311yescharacteristic
416#124×C79C2311yescharacteristic
417#123×C79—21no—
418#123×C79—21no—
419#123×C79—21no—
420#123×C79—21no—
421#123×C79—21no—
422#123×C79—21no—
423#123×C79—21no—
424#123×C79—21no—
425#123×C79—21no—
426#123×C79—21no—
427C22⋊Q8×C79—21no—
428C22⋊Q8×C79—21no—
429C22⋊Q8×C79—21no—
430C22⋊Q8×C79—21no—
431C22⋊Q8×C79—21no—
432C22⋊Q8×C79—21no—
433C22⋊Q8×C79—21no—
434C22⋊Q8×C79—21no—
435C22⋊Q8×C79—21no—
436C22⋊Q8×C79—21no—
437C22⋊Q8×C79D411yescharacteristic
438C22⋊Q8×C79D411yescharacteristic
439C22⋊Q8×C79D411yescharacteristic
440C22⋊Q8×C79D411yescharacteristic
441C22⋊Q8×C79C2311yescharacteristic
442C22⋊Q8×C79C2311yescharacteristic
443#121×C79—21no—
444#121×C79—21no—
445#121×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79—21no—
448C4×Q8×C79—21no—
449C4×Q8×C79C2311yescharacteristic
450C4×Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×Q8×C79C2311yescharacteristic
456C4×Q8×C79C2311yescharacteristic
457C4×Q8×C79C2311yescharacteristic
458C4×Q8×C79C2311yescharacteristic
459C4×D4×C79—21no—
460C4×D4×C79—21no—
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79—21no—
470#117×C79—21no—
471#117×C79—21no—
472#117×C79—21no—
473#117×C79C2311yescharacteristic
474#117×C79C2311yescharacteristic
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79—21no—
477C2×C42×C79C2311yescharacteristic
478#11929624—22no—
479#11929624—22no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158C2411yescharacteristic
485C2×D316C2411yescharacteristic
486C2×C22⋊D79—21no—
487C22×Dic79—21no—
488C22×Dic79—21no—
489C2×C4×D79—21no—
490C2×C4×D79—21no—
491C2×C4×D79—21no—
492C2×C4×D79—21no—
493C2×C4×D79—21no—
494C2×C4×D79—21no—
495C2×C4×D79—21no—
496#11929614—22no—
497#11929614—22no—
498#11929612—22no—
499#11929612—22no—
500#11929611—22no—
501#11929611—22no—
502#11929609—22no—
503#11929609—22no—
504C2×C79⋊C8C2411yescharacteristic
505C2×C79⋊C8C2411yescharacteristic
506C2×C79⋊C8C2411yescharacteristic
507C2×C79⋊C8C2411yescharacteristic
508C2×C79⋊C8C2411yescharacteristic
509C2×C79⋊C8C2411yescharacteristic
510C2×C79⋊C8C2411yescharacteristic
511C2×C79⋊C8C2411yescharacteristic
512C4⋊Dic79—21no—
513C4⋊Dic79—21no—
514C4⋊Dic79—21no—
515C4⋊Dic79—21no—
516C4⋊Dic79—21no—
517C4⋊Dic79—21no—
518C4⋊Dic79C2411yescharacteristic
519C4⋊Dic79C2411yescharacteristic
520C4⋊Dic79C2411yescharacteristic
521C4⋊Dic79C2411yescharacteristic
522C4⋊Dic79C2411yescharacteristic
523C4⋊Dic79C2411yescharacteristic
524Dic79⋊C4—21no—
525Dic79⋊C4—21no—
526Dic79⋊C4—21no—
527Dic79⋊C4—21no—
528Dic79⋊C4—21no—
529Dic79⋊C4—21no—
530Dic79⋊C4—21no—
531Dic79⋊C4—21no—
532Dic79⋊C4—21no—
533Dic79⋊C4—21no—
534Dic79⋊C4—21no—
535Dic79⋊C4—21no—
536Dic79⋊C4—21no—
537Dic79⋊C4—21no—
538Dic79⋊C4—21no—
539Dic79⋊C4—21no—
540Dic79⋊C4—21no—
541Dic79⋊C4—21no—
542Dic79⋊C4—21no—
543Dic79⋊C4—21no—
544Dic79⋊C4—21no—
545Dic79⋊C4—21no—
546C22⋊Dic79—21no—
547(C2×D79)⋊C4—21no—
548(C2×D79)⋊C4—21no—
549(C2×D79)⋊C4—21no—
550(C2×D79)⋊C4—21no—
551(C2×D79)⋊C4—21no—
552(C2×D79)⋊C4—21no—
553C4×Dic79—21no—
554C4×Dic79—21no—
555C4×Dic79—21no—
556C4×Dic79—21no—
557C4×Dic79—21no—
558C4×Dic79—21no—
559C4×Dic79—21no—
560C2×Q8×C79—21no—
561C2×Q8×C79—21no—
562C2×Q8×C79C2×D411yescharacteristic
563C2×Q8×C79C2×D411yescharacteristic
564C2×Q8×C79C2×D411yescharacteristic
565C2×Q8×C79C2×D411yescharacteristic
566C2×Q8×C79C2411yescharacteristic
567C2×Q8×C79C2411yescharacteristic
568C2×D4×C79—21no—
569C2×D4×C79—21no—
570C2×D4×C79—21no—
571C2×D4×C79—21no—
572C2×D4×C79C2411yescharacteristic
573C2×D4×C79C2411yescharacteristic
574C22×C4×C79—21no—
575C22×C4×C79—21no—
576C22×C4×C79—21no—
577C22×C4×C79—21no—
578C22×C4×C79—21no—
579C22×C4×C79—21no—
580C22×C4×C79C2×D411yescharacteristic
581C22×C4×C79C2×D411yescharacteristic
582C22×C4×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
604C4⋊C4×C79C2×D411yescharacteristic
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×C79C2×D411yescharacteristic
612C4⋊C4×C79C2×D411yescharacteristic
613C4⋊C4×C79C2×D411yescharacteristic
614C4⋊C4×C79C2×D411yescharacteristic
615C4⋊C4×C79C2×D411yescharacteristic
616C4⋊C4×C79C2×D411yescharacteristic
617C4⋊C4×C79C2×D411yescharacteristic
618C4⋊C4×C79C2×D411yescharacteristic
619C4⋊C4×C79C2411yescharacteristic
620C4⋊C4×C79C2411yescharacteristic
621C4⋊C4×C79C2411yescharacteristic
622C4⋊C4×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
642C22⋊C4×C79C2×D411yescharacteristic
643C22⋊C4×C79C2×D411yescharacteristic
644C22⋊C4×C79C2×D411yescharacteristic
645C42×C79—21no—
646C42×C79—21no—
647C42×C79—21no—
648C42×C79—21no—
649C42×C79—21no—
650C42×C79—21no—
651C42×C79C2×D411yescharacteristic
652C42×C79C2×D411yescharacteristic
653C42×C79C2411yescharacteristic
654C42×C79C2411yescharacteristic
655C42×C79C2411yescharacteristic
656C42×C79C2411yescharacteristic
657C42×C79C2411yescharacteristic
658C42×C79C2411yescharacteristic
659C23×C79—21no—
660C23×C79—21no—
661C23×C79C22×D411yescharacteristic
662C22×D79—21no—
663Q8×C79—21no—
664Q8×C79—21no—
665Q8×C79—21no—
666Q8×C79—21no—
667Q8×C79—41no—
668Q8×C79—41no—
669Q8×C79—41no—
670Q8×C79—41no—
671Q8×C79—81no—
672Q8×C79—81no—
673D4×C79—21no—
674D4×C79—21no—
675D4×C79—21no—
676D4×C79—21no—
677D4×C79—81no—
678D4×C79—81no—
679D4×C79—81no—
680D4×C79—81no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—41no—
690C2×C4×C79—41no—
691C2×C4×C79—81no—
692C2×C4×C79—81no—
693C2×C4×C79—81no—
694C2×C4×C79—81no—
695C2×C4×C79—81no—
696C2×C4×C79—81no—
697C2×C4×C79C22×D411yescharacteristic
698C2×C4×C79C22×D411yescharacteristic
699C2×C4×C79C22×D411yescharacteristic
700C2×C4×C79C22×D411yescharacteristic
701C2×C4×C79C22×D411yescharacteristic
702C2×C4×C79C22×D411yescharacteristic
703C2×C4×C79C22×D411yescharacteristic
704C2×C4×C79C22×D411yescharacteristic
705C2×C4×C79C22×D411yescharacteristic
706C2×C4×C79C22×D411yescharacteristic
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C2511yescharacteristic
711C22⋊D79—24no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—81no—
720C2×Dic79—81no—
721D316—21no—
722D3162−1+412yes—
723C4×D79—24no—
724C4×D79—81no—
725C4×D79—81no—
726C4×D79—81no—
727C4×D79—81no—
728C4×D79—81no—
729C4×D79—81no—
730Dic158—21no—
731Dic158—81no—
732Dic158—81no—
733Dic158—81no—
734Dic158—81no—
735Dic1582−1+412yes—
736C79⋊C8—21no—
737C79⋊C8—21no—
738C79⋊C8—21no—
739C79⋊C8—21no—
740C79⋊C8—21no—
741C79⋊C8—21no—
742C79⋊C8—21no—
743C79⋊C8—21no—
744C22×C79—21no—
745C22×C79—21no—
746C22×C79—21no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79C23×D411yescharacteristic
754C2×D79—22no—
755C2×D79—41no—
756C2×D79—41no—
757C4×C79—21no—
758C4×C79—21no—
759C4×C79—21no—
760C4×C79—21no—
761C4×C79—21no—
762C4×C79—21no—
763C4×C79—21no—
764C4×C79—21no—
765C4×C79—21no—
766C4×C79—21no—
767C4×C79—21no—
768C4×C79—21no—
769C4×C79—21no—
770C4×C79—41no—
771C4×C79—41no—
772C4×C79—41no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79C2×2−1+411yescharacteristic
777C4×C79C2×2−1+411yescharacteristic
778Dic79—22no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783Dic79—41no—
784Dic79—41no—
785#61867—791nomaximal, Sylow
786C2×C79—41no—
787C2×C79—81no—
788C2×C79—81no—
789C2×C79#348611yescharacteristic
790C2×C79#358411yescharacteristic
791C2×C79#358411yescharacteristic
792D79—42no—
793#3557D7911yescharacteristic, complemented
794#3504—791no—
795#3390—791no—
796#3389—791no—
797#3388—791no—
798#3388—791no—
799#3383—791no—
800#3381—791no—
801#3381—791no—
802#3380—791no—
803#3377—791no—
804#3376—791no—
805#3371—791no—
806#3370—791no—
807#3365—791no—
808#3364—791no—
809#3361—791no—
810#3360—791no—
811#3244—791no—
812#3243—791no—
813#3242—791no—
814#3241—791no—
815#3232—791no—
816#3232—791no—
817#3125—791no—
818#3124—791no—
819#3120—791no—
820#3119—791no—
821#3102—791no—
822#3102—791no—
823#2986—791no—
824C79#6186711yescharacteristic, complemented, Sylow
825#563—21no—
826#563—21no—
827#559C2×D7911yescharacteristic
828#559C2×D7911yescharacteristic
829#557—791no—
830#557—791no—
831#557—791no—
832#557—791no—
833#557C2×D7911yescharacteristic
834#557C2×D7911yescharacteristic
835#556C2×D7911yescharacteristic
836#556C2×D7911yescharacteristic
837#554—791no—
838#554—791no—
839#554—791no—
840#554—791no—
841#554—1581no—
842#554—1581no—
843#554—1581no—
844#554—1581no—
845#554C2×D7911yescharacteristic
846#554C2×D7911yescharacteristic
847#552—21no—
848#552—21no—
849#544—791no—
850#544—791no—
851#544—1581no—
852#544—1581no—
853#542—21no—
854#542—21no—
855#542C2×D7911yescharacteristic
856#542C2×D7911yescharacteristic
857#541C2×D7911yescharacteristic
858#540C2×D7911yescharacteristic
859#539—21no—
860#539—21no—
861#533—1581no—
862#533C2×D7911yescharacteristic
863#529C2×D7911yescharacteristic
864#529C2×D7911yescharacteristic
865C2×#125—791no—
866C2×#125—1581no—
867#520—791no—
868#520—791no—
869C4×#41—791no—
870#501—791no—
871#501—791no—
872#501—791no—
873#501—791no—
874#500—791no—
875#499—791no—
876#499—791no—
877#499—791no—
878#499—791no—
879#499—791no—
880#499—791no—
881#498—791no—
882#491—791no—
883#490—791no—
884#489—791no—
885#489—791no—
886#488—791no—
887#488—791no—
888#488—791no—
889#488—791no—
890#488—791no—
891#488—791no—
892#487—791no—
893#486—791no—
894#485—791no—
895#485—791no—
896#484—791no—
897#484—791no—
898#483—791no—
899#483—791no—
900#482—791no—
901#482—791no—
902#481—791no—
903#481—791no—
904#480—791no—
905#480—791no—
906#479—791no—
907#479—791no—
908#479—791no—
909#479—791no—
910#479—791no—
911#479—791no—
912#479—791no—
913#479—791no—
914#479—791no—
915#479—791no—
916#479—791no—
917#479—791no—
918#478—791no—
919#478—791no—
920#478—791no—
921#478—791no—
922#478—791no—
923#478—791no—
924#478—791no—
925#478—791no—
926#478—791no—
927#478—791no—
928#478—791no—
929#478—791no—
930#477—791no—
931#477—791no—
932#477—791no—
933#476—791no—
934#476—791no—
935#476—791no—
936#475—791no—
937#475—791no—
938#475—791no—
939#474—791no—
940#474—791no—
941#474—791no—
942#464—791no—
943#464—791no—
944#464—791no—
945#464—791no—
946#463—791no—
947#463—791no—
948#463—791no—
949#463—791no—
950#462—791no—
951#461—791no—
952#460—791no—
953#459—791no—
954#452—791no—
955#452—791no—
956#449—791no—
957#449—791no—
958#446—791no—
959#446—791no—
960#446—791no—
961#446—791no—
962C8×Q8—791no—
963C8×Q8—791no—
964C8×Q8—791no—
965C8×Q8—791no—
966#442—791no—
967#442—791no—
968#441—791no—
969#441—791no—
970#440—791no—
971#440—791no—
972#440—791no—
973#440—791no—
974C4×Q16—791no—
975C4×Q16—791no—
976C4×Q16—791no—
977C4×Q16—791no—
978C4×SD16—791no—
979C4×SD16—791no—
980C4×SD16—791no—
981C4×SD16—791no—
982C4×SD16—791no—
983C4×SD16—791no—
984C4×SD16—791no—
985C4×SD16—791no—
986C4×D8—791no—
987C4×D8—791no—
988C4×D8—791no—
989C4×D8—791no—
990#433—791no—
991#433—791no—
992#433—791no—
993#433—791no—
994#431—791no—
995#431—791no—
996C2×#41—791no—
997C2×Q16—791no—
998C2×Q16—791no—
999C2×SD16—791no—
1000C2×SD16—791no—
1001C2×SD16—791no—
1002C2×SD16—791no—
1003C2×D8—791no—
1004C2×D8—791no—
1005C4⋊Q8—21no—
1006C4⋊Q8—21no—
1007C4⋊Q8—791no—
1008C4⋊Q8—791no—
1009C4⋊Q8—791no—
1010C4⋊Q8—791no—
1011C4⋊Q8—1581no—
1012C4⋊Q8—1581no—
1013C4⋊Q8—1581no—
1014C4⋊Q8—1581no—
1015C4⋊Q8—1581no—
1016C4⋊Q8—1581no—
1017C4⋊Q8C22⋊D7911yescharacteristic
1018C4⋊Q8C22⋊D7911yescharacteristic
1019C4⋊Q8C22×D7911yescharacteristic
1020C4⋊Q8C22×D7911yescharacteristic
1021C4⋊Q8C22×D7911yescharacteristic
1022#127C22×D7911yescharacteristic
1023#126—21no—
1024#126—21no—
1025#126—21no—
1026#126—21no—
1027#126—21no—
1028#126—21no—
1029#126—21no—
1030#126—21no—
1031#126—21no—
1032#126—21no—
1033#125—21no—
1034#125—21no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—21no—
1039#125—791no—
1040#125—791no—
1041#125—791no—
1042#125—791no—
1043#125—791no—
1044#125—791no—
1045#125—791no—
1046#125—791no—
1047#125—1581no—
1048#125—1581no—
1049#125—1581no—
1050#125—1581no—
1051#125—1581no—
1052#125—1581no—
1053#125—1581no—
1054#125—1581no—
1055#125—1581no—
1056#125—1581no—
1057#125—1581no—
1058#125—1581no—
1059#125C22⋊D7911yescharacteristic
1060#125C22⋊D7911yescharacteristic
1061#125C22×D7911yescharacteristic
1062#125C22×D7911yescharacteristic
1063#125C22×D7911yescharacteristic
1064#125C22×D7911yescharacteristic
1065#124—21no—
1066#124—21no—
1067#124—21no—
1068#124—21no—
1069#124C22×D7911yescharacteristic
1070#124C22×D7911yescharacteristic
1071#124C22×D7911yescharacteristic
1072#124C22×D7911yescharacteristic
1073#123—21no—
1074#123—21no—
1075#123—21no—
1076#123—21no—
1077#123—21no—
1078#123—21no—
1079#123—21no—
1080#123—21no—
1081#123—21no—
1082#123—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—1581no—
1094C22⋊Q8—1581no—
1095C22⋊Q8—1581no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8C22⋊D7911yescharacteristic
1110C22⋊Q8C22⋊D7911yescharacteristic
1111C22⋊Q8C22⋊D7911yescharacteristic
1112C22⋊Q8C22⋊D7911yescharacteristic
1113C22⋊Q8C22×D7911yescharacteristic
1114C22⋊Q8C22×D7911yescharacteristic
1115#121—21no—
1116#121—21no—
1117#121C22×D7911yescharacteristic
1118#121C22×D7911yescharacteristic
1119C4×Q8—21no—
1120C4×Q8—21no—
1121C4×Q8—791no—
1122C4×Q8—791no—
1123C4×Q8—791no—
1124C4×Q8—791no—
1125C4×Q8—791no—
1126C4×Q8—791no—
1127C4×Q8—1581no—
1128C4×Q8—1581no—
1129C4×Q8—1581no—
1130C4×Q8—1581no—
1131C4×Q8C22×D7911yescharacteristic
1132C4×Q8C22×D7911yescharacteristic
1133C4×Q8C22×D7911yescharacteristic
1134C4×Q8C22×D7911yescharacteristic
1135C4×Q8C22×D7911yescharacteristic
1136C4×Q8C22×D7911yescharacteristic
1137C4×Q8C22×D7911yescharacteristic
1138C4×Q8C22×D7911yescharacteristic
1139C4×Q8C22×D7911yescharacteristic
1140C4×Q8C22×D7911yescharacteristic
1141C4×D4—21no—
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—21no—
1145C4×D4—791no—
1146C4×D4—791no—
1147C4×D4—791no—
1148C4×D4—791no—
1149C4×D4—791no—
1150C4×D4—791no—
1151C4×D4—1581no—
1152C4×D4—1581no—
1153C4×D4—1581no—
1154C4×D4—1581no—
1155C4×D4—1581no—
1156C4×D4—1581no—
1157C4×D4C22×D7911yescharacteristic
1158C4×D4C22×D7911yescharacteristic
1159C4×D4C22×D7911yescharacteristic
1160C4×D4C22×D7911yescharacteristic
1161C4×D4C22×D7911yescharacteristic
1162C4×D4C22×D7911yescharacteristic
1163#117—21no—
1164#117—21no—
1165#117—21no—
1166#117—21no—
1167#117—791no—
1168#117—1581no—
1169#117—1581no—
1170#117—1581no—
1171#117C22×D7911yescharacteristic
1172#117C22×D7911yescharacteristic
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—21no—
1175C2×C4⋊C4—791no—
1176C2×C4⋊C4—791no—
1177C2×C4⋊C4—1581no—
1178C2×C4⋊C4—1581no—
1179C2×C4⋊C4—1581no—
1180C2×C4⋊C4—1581no—
1181C2×C4⋊C4—1581no—
1182C2×C4⋊C4—1581no—
1183C2×C4⋊C4—1581no—
1184C2×C4⋊C4—1581no—
1185C2×C42—1581no—
1186C2×C42C22×D7911yescharacteristic
1187#107—791no—
1188#107—791no—
1189#107—791no—
1190#107—791no—
1191#107—791no—
1192#107—791no—
1193#107—791no—
1194#107—791no—
1195#107—791no—
1196#107—791no—
1197#107—791no—
1198#107—791no—
1199#106—791no—
1200#106—791no—
1201#106—791no—
1202#106—791no—
1203#106—791no—
1204#106—791no—
1205#106—791no—
1206#106—791no—
1207#106—791no—
1208#106—791no—
1209#106—791no—
1210#106—791no—
1211C4⋊C8—791no—
1212C4⋊C8—791no—
1213C4⋊C8—791no—
1214C4⋊C8—791no—
1215C4⋊C8—791no—
1216C4⋊C8—791no—
1217C4⋊C8—791no—
1218C4⋊C8—791no—
1219C4⋊C8—791no—
1220C4⋊C8—791no—
1221C4⋊C8—791no—
1222C4⋊C8—791no—
1223#103—791no—
1224#103—791no—
1225#103—791no—
1226#103—791no—
1227#103—791no—
1228#103—791no—
1229#103—791no—
1230#103—791no—
1231#103—791no—
1232#103—791no—
1233#103—791no—
1234#103—791no—
1235#103—791no—
1236#103—791no—
1237#103—791no—
1238#103—791no—
1239#102—791no—
1240#102—791no—
1241#102—791no—
1242#102—791no—
1243#102—791no—
1244#102—791no—
1245#102—791no—
1246#102—791no—
1247#102—791no—
1248#102—791no—
1249#102—791no—
1250#102—791no—
1251#102—791no—
1252#102—791no—
1253#102—791no—
1254#102—791no—
1255C22⋊C8—791no—
1256C22⋊C8—791no—
1257C22⋊C8—791no—
1258C22⋊C8—791no—
1259#97—791no—
1260#97—791no—
1261#97—791no—
1262#97—791no—
1263C4×C8—791no—
1264C4×C8—791no—
1265C4×C8—791no—
1266C4×C8—791no—
1267C4×C8—791no—
1268C4×C8—791no—
1269C4×C8—791no—
1270C4×C8—791no—
1271#41—1582no—
1272#41—1582no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—791no—
1276C2×Q8—1581no—
1277C2×Q8—1581no—
1278C2×Q8—1581no—
1279C2×Q8—1581no—
1280C2×Q8C2×C22⋊D7911yescharacteristic
1281C2×Q8C2×C22⋊D7911yescharacteristic
1282C2×Q8C2×C22⋊D7911yescharacteristic
1283C2×Q8C2×C22⋊D7911yescharacteristic
1284C2×Q8C23×D7911yescharacteristic
1285C2×Q8C23×D7911yescharacteristic
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—21no—
1289C2×D4—21no—
1290C2×D4—791no—
1291C2×D4—1581no—
1292C2×D4C23×D7911yescharacteristic
1293C2×D4C23×D7911yescharacteristic
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—1581no—
1301C22×C4—1581no—
1302C22×C4—1581no—
1303C22×C4—1581no—
1304C22×C4—1581no—
1305C22×C4—1581no—
1306C22×C4—1581no—
1307C22×C4—1581no—
1308C22×C4—1581no—
1309C22×C4C2×C22⋊D7911yescharacteristic
1310C22×C4C2×C22⋊D7911yescharacteristic
1311C22×C4C23×D7911yescharacteristic
1312Q16—1582no—
1313Q16—1582no—
1314SD16—1582no—
1315SD16—1582no—
1316SD16—1582no—
1317SD16—1582no—
1318D8—1582no—
1319D8—1582no—
1320C2×C8—791no—
1321C2×C8—791no—
1322C2×C8—791no—
1323C2×C8—791no—
1324C2×C8—791no—
1325C2×C8—791no—
1326C2×C8—791no—
1327C2×C8—791no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—791no—
1349C4⋊C4—791no—
1350C4⋊C4—791no—
1351C4⋊C4—791no—
1352C4⋊C4—791no—
1353C4⋊C4—791no—
1354C4⋊C4—1581no—
1355C4⋊C4—1581no—
1356C4⋊C4—1581no—
1357C4⋊C4—1581no—
1358C4⋊C4—1581no—
1359C4⋊C4—1581no—
1360C4⋊C4—1581no—
1361C4⋊C4—1581no—
1362C4⋊C4—1581no—
1363C4⋊C4—1581no—
1364C4⋊C4—1581no—
1365C4⋊C4—1581no—
1366C4⋊C4—1581no—
1367C4⋊C4—1581no—
1368C4⋊C4—1581no—
1369C4⋊C4—1581no—
1370C4⋊C4—1581no—
1371C4⋊C4—1581no—
1372C4⋊C4—1581no—
1373C4⋊C4—1581no—
1374C4⋊C4—1581no—
1375C4⋊C4—1581no—
1376C4⋊C4—1581no—
1377C4⋊C4—1581no—
1378C4⋊C4—1581no—
1379C4⋊C4—1581no—
1380C4⋊C4—1581no—
1381C4⋊C4—1581no—
1382C4⋊C4C2×C22⋊D7911yescharacteristic
1383C4⋊C4C2×C22⋊D7911yescharacteristic
1384C4⋊C4C2×C22⋊D7911yescharacteristic
1385C4⋊C4C2×C22⋊D7911yescharacteristic
1386C4⋊C4C2×C22⋊D7911yescharacteristic
1387C4⋊C4C2×C22⋊D7911yescharacteristic
1388C4⋊C4C2×C22⋊D7911yescharacteristic
1389C4⋊C4C2×C22⋊D7911yescharacteristic
1390C4⋊C4C2×C22⋊D7911yescharacteristic
1391C4⋊C4C2×C22⋊D7911yescharacteristic
1392C4⋊C4C2×C22⋊D7911yescharacteristic
1393C4⋊C4C2×C22⋊D7911yescharacteristic
1394C4⋊C4C2×C22⋊D7911yescharacteristic
1395C4⋊C4C2×C22⋊D7911yescharacteristic
1396C4⋊C4C2×C22⋊D7911yescharacteristic
1397C4⋊C4C2×C22⋊D7911yescharacteristic
1398C4⋊C4C23×D7911yescharacteristic
1399C4⋊C4C23×D7911yescharacteristic
1400C4⋊C4C23×D7911yescharacteristic
1401C4⋊C4C23×D7911yescharacteristic
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—1581no—
1421C22⋊C4—1581no—
1422C22⋊C4—1581no—
1423C22⋊C4—1581no—
1424C22⋊C4—1581no—
1425C22⋊C4—1581no—
1426C22⋊C4—1581no—
1427C22⋊C4C2×C22⋊D7911yescharacteristic
1428C22⋊C4C2×C22⋊D7911yescharacteristic
1429C22⋊C4C2×C22⋊D7911yescharacteristic
1430C22⋊C4C2×C22⋊D7911yescharacteristic
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42—21no—
1437C42—1581no—
1438C42—1581no—
1439C42—1581no—
1440C42—1581no—
1441C42—1581no—
1442C42—1581no—
1443C42—1581no—
1444C42C2×C22⋊D7911yescharacteristic
1445C42C2×C22⋊D7911yescharacteristic
1446C42C23×D7911yescharacteristic
1447C42C23×D7911yescharacteristic
1448C42C23×D7911yescharacteristic
1449C42C23×D7911yescharacteristic
1450C42C23×D7911yescharacteristic
1451C42C23×D7911yescharacteristic
1452C23—21no—
1453C23—21no—
1454C23—1581no—
1455C23C22×C22⋊D7911yescharacteristic
1456Q8—21no—
1457Q8—21no—
1458Q8—21no—
1459Q8—21no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—81no—
1465Q8—81no—
1466Q8—792no—
1467Q8—6321no—
1468Q8—6321no—
1469Q8—6321no—
1470Q8—6321no—
1471Q8—1581no—
1472D4—21no—
1473D4—21no—
1474D4—21no—
1475D4—21no—
1476D4—81no—
1477D4—81no—
1478D4—81no—
1479D4—81no—
1480D4—792no—
1481D4—1584no—
1482D4—1581no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—81no—
1494C2×C4—81no—
1495C2×C4—81no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—81no—
1499C2×C4—6321no—
1500C2×C4—6321no—
1501C2×C4—6321no—
1502C2×C4—6321no—
1503C2×C4—6321no—
1504C2×C4—6321no—
1505C2×C4—6321no—
1506C2×C4—6321no—
1507C2×C4—1584no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4C22×C22⋊D7911yescharacteristic
1516C2×C4C22×C22⋊D7911yescharacteristic
1517C2×C4C22×C22⋊D7911yescharacteristic
1518C2×C4C22×C22⋊D7911yescharacteristic
1519C2×C4C22×C22⋊D7911yescharacteristic
1520C2×C4C22×C22⋊D7911yescharacteristic
1521C2×C4C22×C22⋊D7911yescharacteristic
1522C2×C4C22×C22⋊D7911yescharacteristic
1523C2×C4C22×C22⋊D7911yescharacteristic
1524C2×C4C22×C22⋊D7911yescharacteristic
1525C2×C4C22×C22⋊D7911yescharacteristic
1526C2×C4C22×C22⋊D7911yescharacteristic
1527C2×C4C22×C22⋊D7911yescharacteristic
1528C2×C4C24×D7911yescharacteristic
1529C8—1581no—
1530C8—1581no—
1531C8—1581no—
1532C8—1581no—
1533C8—1581no—
1534C8—1581no—
1535C8—1581no—
1536C8—1581no—
1537C22—21no—
1538C22—21no—
1539C22—21no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—3161no—
1547C22—3161no—
1548C22—1582no—
1549C22C23×C22⋊D7911yescharacteristic
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—21no—
1560C4—21no—
1561C4—21no—
1562C4—21no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—3161no—
1575C4—1582no—
1576C42−1+4×D7911yescharacteristic
1577C42−1+4×D7911yescharacteristic
1578C2—41no—
1579C2—81no—
1580C2—81no—
1581C2—3162no—
1582C2#2377704811yescharacteristic
1583C2#2377817111yescharacteristic
1584C2#2377817111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3557C2
socleC22×C79C23×D4
prime radical#23773593C2
hypercenter#3557D79
hypocenterC79#61867
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #533 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #23777221C2semidirect
2. #23776363C2semidirect
3. #23776354C2semidirect
4. #23776345C2semidirect
5. #23776339C2semidirect
6. #23776287C2semidirect
7. #23776275C2semidirect
8. #23776271C2semidirect
9. #23776263C2semidirect
10. #23776236C2semidirect
11. #23776221C2semidirect
12. #23776162C2semidirect
13. #23776147C2semidirect
14. #23776092C2semidirect
15. #23776081C2semidirect
16. #23776056C2semidirect
17. #23776045C2semidirect
18. #23774692C2semidirect
19. #23774677C2semidirect
20. #23774662C2semidirect
21. #23774647C2semidirect
22. #23774564C2semidirect
23. #23774564C2semidirect
24. #23773671C2semidirect
25. #23773656C2semidirect
26. #23773608C2semidirect
28. #23773412C2semidirect
29. #23773412C2semidirect
30. #23772502C2semidirect
31. C79×#3557C2semidirect
793. #3557D79semidirect
824. C79#61867semidirect

Maximal subgroups

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

subgroupindex
#237772212
#237763632
#237763542
#237763452
#237763392
#237762872
#237762752
#237762712
#237762632
#237762362
#237762212
#237761622
#237761472
#237760922
#237760812
#237760562
#237760452
#237746922
#237746772
#237746622
#237746472
#237745642
#237736712
#237736562
#237736082
#237735932
#237734122
#237725022
C79×#35572
#6186779