Finite Group Databasebeta

← #35160631

Subgroups — #35160631

Order 20224.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776804C211yesmaximal, characteristic
2#541×D79C211yesmaximal, characteristic
3#23774675C211yesmaximal, characteristic, complemented
4#23774674C211yesmaximal, characteristic, complemented
5#23774673C211yesmaximal, characteristic, complemented
6#23774672C211yesmaximal, characteristic, complemented
7#23774671C211yesmaximal, characteristic, complemented
8#23774670C211yesmaximal, characteristic, complemented
9#23774669C211yesmaximal, characteristic, complemented
10#23774668C211yesmaximal, characteristic, complemented
11#23774667C211yesmaximal, characteristic, complemented
12#23774666C211yesmaximal, characteristic, complemented
13#23774665C211yesmaximal, characteristic, complemented
14#23774664C211yesmaximal, characteristic, complemented
15#23774663C211yesmaximal, characteristic, complemented
16#23774662C211yesmaximal, characteristic, complemented
17#23774661C211yesmaximal, characteristic, complemented
18#23773951C211yesmaximal, characteristic, complemented
19#23773948C211yesmaximal, characteristic, complemented
20#23773779C211yesmaximal, characteristic, complemented
21#23773777C211yesmaximal, characteristic, complemented
22#23773347C211yesmaximal, characteristic
23#23773347C211yesmaximal, characteristic
24#23773345C211yesmaximal, characteristic
25#23773343C211yesmaximal, characteristic
26#23773206C211yesmaximal, characteristic, complemented
27#23773203C211yesmaximal, characteristic, complemented
28#23773203C211yesmaximal, characteristic, complemented
29#23773200C211yesmaximal, characteristic, complemented
30#23772034C211yesmaximal, characteristic
31C79×#3242C211yesmaximal, characteristic, complemented
32#19099194C2211yescharacteristic
33#19099193—21no—
34#19099193C2211yescharacteristic
35#19099193C2211yescharacteristic
36#19099191C2211yescharacteristic
37#19099191C2211yescharacteristic
38#19099190—21no—
39#19099190C2211yescharacteristic
40#19099190C2211yescharacteristic
41#19099188—21no—
42#19099188—21no—
43#19099176C2211yescharacteristic
44#19099175C2211yescharacteristic
45#19099174C2211yescharacteristic
46#19099173C2211yescharacteristic
47#19099173C2211yescharacteristic
48#19099172—21no—
49#19099172—21no—
50#19099171C2211yescharacteristic
51#19099171C2211yescharacteristic
52#19099170—21no—
53#19099170—21no—
54#19099119—21no—
55#19099119C2211yescharacteristic
56#19099119C2211yescharacteristic
57#19099118—21no—
58#19099118C2211yescharacteristic
59#19099118C2211yescharacteristic
60#19099115—21no—
61#19099115—21no—
62C4⋊Q8×D79C2211yescharacteristic
63#126×D79—21no—
64#126×D79—21no—
65#125×D79—21no—
66#125×D79—21no—
67#125×D79C2211yescharacteristic
68C22⋊Q8×D79C2211yescharacteristic
69C22⋊Q8×D79C2211yescharacteristic
70C4×Q8×D79C2211yescharacteristic
71C4×Q8×D79C2211yescharacteristic
72C2×#14579119C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098969C2211yescharacteristic, complemented
82#19098965C2211yescharacteristic, complemented
83#19098964C2211yescharacteristic, complemented
84#19098964C2211yescharacteristic, complemented
85#19098963C2211yescharacteristic, complemented
86#19098963C2211yescharacteristic, complemented
87#19098962C2211yescharacteristic, complemented
88#19098962C2211yescharacteristic, complemented
89#19098933C2211yescharacteristic, complemented
90#19098932C2211yescharacteristic, complemented
91#19098931C2211yescharacteristic, complemented
92#19098930C2211yescharacteristic, complemented
93#19098930C2211yescharacteristic, complemented
94#19098930C2211yescharacteristic, complemented
95#19098930C2211yescharacteristic, complemented
96#19098915C2211yescharacteristic, complemented
97#19098914C2211yescharacteristic, complemented
98#19098913C2211yescharacteristic, complemented
99#19098912C2211yescharacteristic, complemented
100#19098912C2211yescharacteristic, complemented
101#19098912C2211yescharacteristic, complemented
102#19098912C2211yescharacteristic, complemented
103#19098907C2211yescharacteristic
104#19098907C2211yescharacteristic
105#19098906C2211yescharacteristic
106#19098906C2211yescharacteristic
107#19098905C2211yescharacteristic
108#19098905C2211yescharacteristic
109#19098904C2211yescharacteristic
110#19098904C2211yescharacteristic
111#19098903C2211yescharacteristic
112#19098903C2211yescharacteristic
113#19098902C2211yescharacteristic
114#19098902C2211yescharacteristic
115#19098901C2211yescharacteristic
116#19098901C2211yescharacteristic
117#19098900C2211yescharacteristic
118#19098900C2211yescharacteristic
119#19098899C2211yescharacteristic
120#19098898C2211yescharacteristic
121#19098897C2211yescharacteristic
122#19098897C2211yescharacteristic
123#19098896C2211yescharacteristic
124#19098895C2211yescharacteristic
125#19098895C2211yescharacteristic
126#19098894C2211yescharacteristic
127#19098893C2211yescharacteristic
128#19098892C2211yescharacteristic
129#19098892C2211yescharacteristic
130#19098891C2211yescharacteristic
131#19098873C2211yescharacteristic, complemented
132#19098873C2211yescharacteristic, complemented
133#19098872C2211yescharacteristic, complemented
134#19098872C2211yescharacteristic, complemented
135#19098871C2211yescharacteristic, complemented
136#19098871C2211yescharacteristic, complemented
137#19098870C2211yescharacteristic, complemented
138#19098870C2211yescharacteristic, complemented
139#19098869C2211yescharacteristic, complemented
140#19098869C2211yescharacteristic, complemented
141#19098868C2211yescharacteristic, complemented
142#19098868C2211yescharacteristic, complemented
143#19098867C2211yescharacteristic, complemented
144#19098867C2211yescharacteristic, complemented
145#19098859C2211yescharacteristic, complemented
146#19098858C2211yescharacteristic, complemented
147#19098857C2211yescharacteristic, complemented
148#19098857C2211yescharacteristic, complemented
149#19098856C2211yescharacteristic, complemented
150#19098856C2211yescharacteristic, complemented
151#19098855C2211yescharacteristic, complemented
152#19098849C2211yescharacteristic, complemented
153#19098848C2211yescharacteristic, complemented
154#19098847C2211yescharacteristic, complemented
155#19098847C2211yescharacteristic, complemented
156#19098846C2211yescharacteristic, complemented
157#19098846C2211yescharacteristic, complemented
158#19098845C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic
160#19098624C2211yescharacteristic
161#19098623C2211yescharacteristic
162#19098623C2211yescharacteristic
163#19098622C2211yescharacteristic
164#19098621C2211yescharacteristic
165#19098621C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098604C2211yescharacteristic
170#19098602C2211yescharacteristic
171#19098602C2211yescharacteristic
172#19098602C2211yescharacteristic
173#19098602C2211yescharacteristic
174#19098585C2211yescharacteristic
175#19098585C2211yescharacteristic
176#19098570C2211yescharacteristic
177#19098570C2211yescharacteristic
178#19098570C2211yescharacteristic
179#19098570C2211yescharacteristic
180#19098570C2211yescharacteristic
181#19098570C2211yescharacteristic
182#19098570C2211yescharacteristic
183#19098570C2211yescharacteristic
184#19098525C2211yescharacteristic
185#19098525C2211yescharacteristic
186#19098515C2211yescharacteristic
187C4×#11929607C2211yescharacteristic
188#544×C79C2211yescharacteristic
189#541×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#491×C79C2211yescharacteristic, complemented
193#487×C79C2211yescharacteristic, complemented
194#485×C79C2211yescharacteristic
195#485×C79C2211yescharacteristic
196#484×C79C2211yescharacteristic
197#483×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#479×C79C2211yescharacteristic, complemented
200#477×C79C2211yescharacteristic, complemented
201#475×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic
203C2×Q8×D79C2311yescharacteristic
204C2×Q8×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C2×#11929607C2311yescharacteristic
207C2×#11929607C2311yescharacteristic
208C2×#11929607C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210#14579161—21no—
211#14579161C2311yescharacteristic
212#14579161C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579160—21no—
215#14579160—21no—
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579159—21no—
225#14579159—21no—
226#14579159C2311yescharacteristic
227#14579159C2311yescharacteristic
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156—21no—
232#14579156—21no—
233#14579156—21no—
234#14579155—21no—
235#14579155—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154—21no—
241#14579154—21no—
242#14579153—21no—
243#14579153—21no—
244#14579153—21no—
245#14579153C2311yescharacteristic
246#14579153C2311yescharacteristic
247#14579153C2311yescharacteristic
248#14579152—21no—
249#14579152—21no—
250#14579152—21no—
251#14579152—21no—
252#14579152—21no—
253#14579152—21no—
254#14579152C2311yescharacteristic
255#14579152C2311yescharacteristic
256#14579152C2311yescharacteristic
257#14579152C2311yescharacteristic
258#14579152C2311yescharacteristic
259#14579152C2311yescharacteristic
260#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579151—21no—
271#14579151—21no—
272#14579151—21no—
273#14579151—21no—
274#14579141—21no—
275#14579141—21no—
276#14579141—21no—
277#14579141—21no—
278#14579141C2311yescharacteristic
279#14579141C2311yescharacteristic
280#14579140—21no—
281#14579140—21no—
282#14579140C2311yescharacteristic
283#14579140C2311yescharacteristic
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579139—21no—
293#14579139—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579137—21no—
301#14579137—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137C2311yescharacteristic
305#14579137C2311yescharacteristic
306Q8×Dic79—21no—
307Q8×Dic79—21no—
308Q8×Dic79C2311yescharacteristic
309Q8×Dic79C2311yescharacteristic
310C4×Dic158—21no—
311C4×Dic158—21no—
312C4×Dic158C2311yescharacteristic
313C4×Dic158C2311yescharacteristic
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126—21no—
318#14579126—21no—
319#14579126—21no—
320#14579126—21no—
321#14579126—21no—
322#14579126C2311yescharacteristic
323#14579126C2311yescharacteristic
324#14579120C2311yescharacteristic
325#14579120C2311yescharacteristic
326#14579119—21no—
327#14579119—21no—
328#14579119D411yescharacteristic
329#14579119D411yescharacteristic
330#14579119C2311yescharacteristic
331#14579119C2311yescharacteristic
332#14579119C2311yescharacteristic
333#14579119C2311yescharacteristic
334#14579119C2311yescharacteristic
335#14579119C2311yescharacteristic
336#14579118—21no—
337#14579118C2311yescharacteristic
338#14579118C2311yescharacteristic
339#14579117—21no—
340#14579117D411yescharacteristic
341#14579117D411yescharacteristic
342C2×C4⋊Dic79C2311yescharacteristic
343C4⋊C4×D79—21no—
344C4⋊C4×D79—21no—
345C4⋊C4×D79—21no—
346C4⋊C4×D79—21no—
347C4⋊C4×D79—21no—
348C4⋊C4×D79—21no—
349C4⋊C4×D79—21no—
350C4⋊C4×D79—21no—
351C4⋊C4×D79D411yescharacteristic
352C4⋊C4×D79D411yescharacteristic
353C4⋊C4×D79C2311yescharacteristic
354C4⋊C4×D79C2311yescharacteristic
355C4⋊C4×D79C2311yescharacteristic
356C4⋊C4×D79C2311yescharacteristic
357C2×(C2×D79)⋊C4—21no—
358C22⋊C4×D79—21no—
359C22⋊C4×D79—21no—
360C22⋊C4×D79—21no—
361C22⋊C4×D79D411yescharacteristic
362C22⋊C4×D79D411yescharacteristic
363C2×C4×Dic79—21no—
364C42×D79—21no—
365C42×D79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#126×C79—21no—
440#126×C79—21no—
441#125×C79—21no—
442#125×C79—21no—
443#125×C79—21no—
444#125×C79C2311yescharacteristic
445#125×C79C2311yescharacteristic
446#125×C79C2311yescharacteristic
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450C22⋊Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79C2×D411yescharacteristic
479C2×Dic158—21no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2411yescharacteristic
488C2×Dic158C2411yescharacteristic
489Q8×D79—22no—
490Q8×D79—22no—
491Q8×D79—22no—
492Q8×D79—22no—
493C22×Dic79—21no—
494C22×Dic79C2×D411yescharacteristic
495C2×C4×D79—22no—
496C2×C4×D79—22no—
497C2×C4×D79—21no—
498C2×C4×D79—21no—
499C2×C4×D79—21no—
500C2×C4×D79—21no—
501C2×C4×D79—21no—
502C2×C4×D79—21no—
503C2×C4×D79C2×D411yescharacteristic
504C2×C4×D79C2×D411yescharacteristic
505C2×C4×D79C2×D411yescharacteristic
506C2×C4×D79C2×D411yescharacteristic
507C2×C4×D79C2×D411yescharacteristic
508C2×C4×D79C2×D411yescharacteristic
509C2×C4×D79C2411yescharacteristic
510C2×C4×D79C2411yescharacteristic
511#11929607—22no—
512#11929607—22no—
513#11929607—22no—
514#11929607—22no—
515C2×C79⋊C8C2411yescharacteristic
516C2×C79⋊C8C2411yescharacteristic
517C2×C79⋊C8C2411yescharacteristic
518C2×C79⋊C8C2411yescharacteristic
519C4⋊Dic79—21no—
520C4⋊Dic79—21no—
521C4⋊Dic79—21no—
522C4⋊Dic79—21no—
523C4⋊Dic79—21no—
524C4⋊Dic79—21no—
525C4⋊Dic79—21no—
526C4⋊Dic79—21no—
527C4⋊Dic79—21no—
528C4⋊Dic79—21no—
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79C2×D411yescharacteristic
535C4⋊Dic79C2×D411yescharacteristic
536C4⋊Dic79C2411yescharacteristic
537C4⋊Dic79C2411yescharacteristic
538C4⋊Dic79C2411yescharacteristic
539C4⋊Dic79C2411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542Dic79⋊C4—21no—
543Dic79⋊C4—21no—
544Dic79⋊C4—21no—
545Dic79⋊C4—21no—
546Dic79⋊C4—21no—
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79C2×D411yescharacteristic
582C22⋊Dic79C2×D411yescharacteristic
583(C2×D79)⋊C4—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4C2×D411yescharacteristic
594(C2×D79)⋊C4C2×D411yescharacteristic
595(C2×D79)⋊C4C2×D411yescharacteristic
596(C2×D79)⋊C4C2×D411yescharacteristic
597C4×Dic79—21no—
598C4×Dic79—21no—
599C4×Dic79—21no—
600C4×Dic79—21no—
601C4×Dic79—21no—
602C4×Dic79—21no—
603C4×Dic79—21no—
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79C2×D411yescharacteristic
611C4×Dic79C2×D411yescharacteristic
612C4×Dic79C2×D411yescharacteristic
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2411yescharacteristic
615C4×Dic79C2411yescharacteristic
616C2×Q8×C79—21no—
617C2×Q8×C79—21no—
618C2×Q8×C79C2411yescharacteristic
619C2×Q8×C79C2411yescharacteristic
620C22×C4×C79—21no—
621C22×C4×C79C2411yescharacteristic
622C2×C8×C79C2411yescharacteristic
623C2×C8×C79C2411yescharacteristic
624C2×C8×C79C2411yescharacteristic
625C2×C8×C79C2411yescharacteristic
626C4⋊C4×C79—21no—
627C4⋊C4×C79—21no—
628C4⋊C4×C79—21no—
629C4⋊C4×C79—21no—
630C4⋊C4×C79—21no—
631C4⋊C4×C79—21no—
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79C2×D411yescharacteristic
642C4⋊C4×C79C2×D411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79C2×D411yescharacteristic
653C22⋊C4×C79C2×D411yescharacteristic
654C42×C79—21no—
655C42×C79—21no—
656C42×C79—21no—
657C42×C79C2411yescharacteristic
658C42×C79C2411yescharacteristic
659C23×C79C22×D411yescharacteristic
660C22×D79—22no—
661C22×D79—41no—
662C22×D79—41no—
663C22×D79C22×D411yescharacteristic
664C22×D79C22×D411yescharacteristic
665Q8×C79—21no—
666Q8×C79—21no—
667Q8×C79—21no—
668Q8×C79—21no—
669Q8×C79—81no—
670Q8×C79—81no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—81no—
682C2×C4×C79C22×D411yescharacteristic
683C2×C4×C79C22×D411yescharacteristic
684C2×C4×C79C22×D411yescharacteristic
685C2×C4×C79C22×D411yescharacteristic
686C2×C4×C79C22×D411yescharacteristic
687C2×C4×C79C2511yescharacteristic
688C2×Dic79—22no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—81no—
698C2×Dic79C22×D411yescharacteristic
699C2×Dic79C22×D411yescharacteristic
700C2×Dic79C22×D411yescharacteristic
701C2×Dic79C22×D411yescharacteristic
702C2×Dic79C22×D411yescharacteristic
703C2×Dic79C22×D411yescharacteristic
704C4×D79—22no—
705C4×D79—21no—
706C4×D79—21no—
707C4×D79—22no—
708C4×D79—41no—
709C4×D79—41no—
710C4×D79—41no—
711C4×D79—41no—
712C4×D79—42no—
713C4×D79—42no—
714C4×D79—42no—
715C4×D79—42no—
716C4×D79—81no—
717C4×D79—81no—
718C4×D792−1+412yes—
719C4×D792−1+412yes—
720Dic158—21no—
721Dic158—21no—
722Dic158—21no—
723Dic158—21no—
724Dic158—42no—
725Dic158—42no—
726Dic158—81no—
727Dic158—81no—
728Dic158—81no—
729Dic158—81no—
730Dic158—81no—
731Dic158—81no—
732C8×C79—21no—
733C8×C79—21no—
734C8×C79—21no—
735C8×C79—21no—
736C79⋊C8—21no—
737C79⋊C8—21no—
738C79⋊C8—21no—
739C79⋊C8—21no—
740C22×C79—21no—
741C22×C79—21no—
742C22×C79—21no—
743C22×C79C23×D411yescharacteristic
744C2×D79—21no—
745C2×D79—21no—
746C2×D79—21no—
747C2×D79—21no—
748C2×D79—21no—
749C2×D79—82no—
750C2×D79#53612yes—
751C4×C79—21no—
752C4×C79—21no—
753C4×C79—21no—
754C4×C79—21no—
755C4×C79—21no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79C2×2−1+411yescharacteristic
765C4×C79C2×2−1+411yescharacteristic
766Dic79—21no—
767Dic79—21no—
768Dic79—21no—
769Dic79—21no—
770Dic79—21no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79#53612yes—
780#60869—791nomaximal, Sylow
781C2×C79—41no—
782C2×C79C2×#53611yescharacteristic
783C2×C79#358611yescharacteristic
784C2×C79#358611yescharacteristic
785D79—22no—
786D79—41no—
787#3458—791no—
788C2×#541—791no—
789#3242—791no—
790#3242—791no—
791#3242—791no—
792#3242—791no—
793#3242—791no—
794#3242—791no—
795#3242—791no—
796#3242—791no—
797#3242—791no—
798#3242—791no—
799#3242—791no—
800#3242—791no—
801#3242—791no—
802#3242—791no—
803#3242—791no—
804#3242D7911yescharacteristic, complemented
805#3166—791no—
806#3166—791no—
807#3139—791no—
808#3139—791no—
809#3095—791no—
810#3095—791no—
811#3095—791no—
812#3095—791no—
813#3078—791no—
814#3078—791no—
815#3078—791no—
816#3078—791no—
817#2921—791no—
818C79#6086911yescharacteristic, complemented, Sylow
819#544—791no—
820#544—791no—
821#544—791no—
822#544—791no—
823#544—791no—
824#544—791no—
825#544—791no—
826#544—1581no—
827#544—1581no—
828#544C2×D7911yescharacteristic
829#543—1581no—
830#543—1581no—
831#541—791no—
832#541—791no—
833#541—791no—
834#541—791no—
835#541—791no—
836#541—791no—
837#541—791no—
838#541—1581no—
839#541—1581no—
840#541—1581no—
841#541—1581no—
842#541C2×D7911yescharacteristic
843#533—791no—
844#533—791no—
845#533—791no—
846#533—791no—
847#533—1581no—
848#533—1581no—
849#533—1581no—
850#533—1581no—
851C2×C4⋊Q8—791no—
852C2×#126—1581no—
853C2×#126—1581no—
854C2×#125—791no—
855C2×#125—1581no—
856C2×#125—1581no—
857C2×C22⋊Q8—791no—
858C2×C22⋊Q8—791no—
859C2×C4×Q8—791no—
860C2×C4×Q8—791no—
861C2×#117—791no—
862C2×#117—791no—
863C2×#117—791no—
864#501—791no—
865#501—791no—
866#501—791no—
867#501—791no—
868#501—791no—
869#501—791no—
870#501—791no—
871#501C2×D7911yescharacteristic, complemented
872#499—791no—
873#499—791no—
874#499—791no—
875#499—791no—
876#499—791no—
877#499—791no—
878#499—791no—
879#499C2×D7911yescharacteristic, complemented
880#491—791no—
881#491—791no—
882#491—791no—
883#491—791no—
884#491—791no—
885#491—791no—
886#491—791no—
887#491C2×D7911yescharacteristic, complemented
888#487—791no—
889#487—791no—
890#487—791no—
891#487—791no—
892#487—791no—
893#487—791no—
894#487—791no—
895#487C2×D7911yescharacteristic, complemented
896#485—791no—
897#485—791no—
898#485—791no—
899#485—791no—
900#485—791no—
901#485—791no—
902#485—791no—
903#485—791no—
904#485—791no—
905#485—791no—
906#485—791no—
907#485—791no—
908#485—791no—
909#485—791no—
910#485C2×D7911yescharacteristic
911#485C2×D7911yescharacteristic
912#484—791no—
913#484—791no—
914#484—791no—
915#484—791no—
916#484—791no—
917#484—791no—
918#484—791no—
919#484C2×D7911yescharacteristic
920#483—791no—
921#483—791no—
922#483—791no—
923#483—791no—
924#483—791no—
925#483—791no—
926#483—791no—
927#483C2×D7911yescharacteristic
928#479—791no—
929#479—791no—
930#479—791no—
931#479—791no—
932#479—791no—
933#479—791no—
934#479—791no—
935#479—791no—
936#479—791no—
937#479—791no—
938#479—791no—
939#479—791no—
940#479—791no—
941#479—791no—
942#479C2×D7911yescharacteristic, complemented
943#479C2×D7911yescharacteristic, complemented
944#477—791no—
945#477—791no—
946#477—791no—
947#477—791no—
948#477—791no—
949#477—791no—
950#477—791no—
951#477C2×D7911yescharacteristic, complemented
952#475—791no—
953#475—791no—
954#475—791no—
955#475—791no—
956#475—791no—
957#475—791no—
958#475—791no—
959#475C2×D7911yescharacteristic, complemented
960#433—791no—
961#433—791no—
962#433—791no—
963#433—791no—
964#433—791no—
965#433—791no—
966#433—791no—
967#433C2×D7911yescharacteristic
968#428—791no—
969#428—791no—
970#428—791no—
971#428—791no—
972#428—791no—
973#428—791no—
974#428—791no—
975#428—791no—
976#423—791no—
977#423—791no—
978#419—791no—
979#419—791no—
980#419—791no—
981#419—791no—
982#419—791no—
983#419—791no—
984#419—791no—
985#419—791no—
986#407—791no—
987#407—791no—
988C4×M16—791no—
989C4×M16—791no—
990C22×Q8—791no—
991C22×Q8—791no—
992C23×C4—791no—
993C2×M16—791no—
994C2×M16—791no—
995C2×M16—791no—
996C2×M16—791no—
997C4⋊Q8—21no—
998C4⋊Q8—791no—
999C4⋊Q8—791no—
1000C4⋊Q8—791no—
1001C4⋊Q8—791no—
1002C4⋊Q8—791no—
1003C4⋊Q8—791no—
1004C4⋊Q8—791no—
1005C4⋊Q8—791no—
1006C4⋊Q8—791no—
1007C4⋊Q8—1581no—
1008C4⋊Q8—1581no—
1009C4⋊Q8—1581no—
1010C4⋊Q8—1581no—
1011C4⋊Q8—1581no—
1012C4⋊Q8—1581no—
1013C4⋊Q8—1581no—
1014C4⋊Q8—1581no—
1015C4⋊Q8—1581no—
1016C4⋊Q8C22×D7911yescharacteristic
1017C4⋊Q8C22×D7911yescharacteristic
1018C4⋊Q8C22×D7911yescharacteristic
1019#126—21no—
1020#126—21no—
1021#126—1581no—
1022#126—1581no—
1023#126—1581no—
1024#126—1581no—
1025#126—1581no—
1026#126—1581no—
1027#126—1581no—
1028#126—1581no—
1029#126—1581no—
1030#126—1581no—
1031#126—1581no—
1032#126—1581no—
1033#126—1581no—
1034#126—1581no—
1035#125—21no—
1036#125—21no—
1037#125—21no—
1038#125—791no—
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#125—1581no—
1060#125—1581no—
1061#125—1581no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125C22×D7911yescharacteristic
1071#125C22×D7911yescharacteristic
1072#125C22×D7911yescharacteristic
1073C22⋊Q8—21no—
1074C22⋊Q8—21no—
1075C22⋊Q8—791no—
1076C22⋊Q8—791no—
1077C22⋊Q8—791no—
1078C22⋊Q8—791no—
1079C22⋊Q8—791no—
1080C22⋊Q8—791no—
1081C22⋊Q8—1581no—
1082C22⋊Q8—1581no—
1083C22⋊Q8—1581no—
1084C22⋊Q8—1581no—
1085C22⋊Q8—1581no—
1086C22⋊Q8—1581no—
1087C22⋊Q8—1581no—
1088C22⋊Q8—1581no—
1089C22⋊Q8—1581no—
1090C22⋊Q8—1581no—
1091C22⋊Q8—1581no—
1092C22⋊Q8—1581no—
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⋊Q8C22×D7911yescharacteristic
1108C22⋊Q8C22×D7911yescharacteristic
1109C4×Q8—791no—
1110C4×Q8—791no—
1111C4×Q8—791no—
1112C4×Q8—791no—
1113C4×Q8—791no—
1114C4×Q8—791no—
1115C4×Q8—1581no—
1116C4×Q8—1581no—
1117C4×Q8—1581no—
1118C4×Q8—1581no—
1119C4×Q8—1581no—
1120C4×Q8—1581no—
1121C4×Q8—1581no—
1122C4×Q8—1581no—
1123C4×Q8—1581no—
1124C4×Q8—1581no—
1125C4×Q8—1581no—
1126C4×Q8—1581no—
1127C4×Q8C22×D7911yescharacteristic
1128C4×Q8C22×D7911yescharacteristic
1129#117—791no—
1130#117—791no—
1131#117—791no—
1132#117—791no—
1133#117—791no—
1134#117—791no—
1135#117—791no—
1136#117—791no—
1137#117—791no—
1138#117—791no—
1139#117—791no—
1140#117—791no—
1141#117—791no—
1142#117—791no—
1143#117—1581no—
1144#117—1581no—
1145#117—1581no—
1146#117—1581no—
1147#117C22×D7911yescharacteristic
1148#117C22×D7911yescharacteristic
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—1581no—
1157C2×C4⋊C4—1581no—
1158C2×C4⋊C4—1581no—
1159C2×C4⋊C4—1581no—
1160C2×C4⋊C4—1581no—
1161C2×C4⋊C4—1581no—
1162C2×C4⋊C4—1581no—
1163C2×C4⋊C4—1581no—
1164C2×C4⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—1581no—
1168C2×C22⋊C4—1581no—
1169C2×C22⋊C4—1581no—
1170C2×C22⋊C4—1581no—
1171C2×C42—791no—
1172C2×C42—791no—
1173C2×C42—1581no—
1174C2×C42—1581no—
1175C2×C42—1581no—
1176C2×C42—1581no—
1177#107—791no—
1178#107—791no—
1179#107—791no—
1180#107—791no—
1181#107—791no—
1182#107—791no—
1183#107—791no—
1184#107—791no—
1185#107—791no—
1186#107—791no—
1187#107—791no—
1188#107—791no—
1189#107C22×D7911yescharacteristic
1190#107C22×D7911yescharacteristic
1191#107C22×D7911yescharacteristic
1192#107C22×D7911yescharacteristic
1193#106—791no—
1194#106—791no—
1195#106—791no—
1196#106—791no—
1197#106—791no—
1198#106—791no—
1199#106—791no—
1200#106—791no—
1201#106—791no—
1202#106—791no—
1203#106—791no—
1204#106—791no—
1205#106C22×D7911yescharacteristic
1206#106C22×D7911yescharacteristic
1207#106C22×D7911yescharacteristic
1208#106C22×D7911yescharacteristic
1209C4⋊C8—791no—
1210C4⋊C8—791no—
1211C4⋊C8—791no—
1212C4⋊C8—791no—
1213C4⋊C8—791no—
1214C4⋊C8—791no—
1215C4⋊C8C22×D7911yescharacteristic
1216C4⋊C8C22×D7911yescharacteristic
1217#103—791no—
1218#103—791no—
1219#103—791no—
1220#103—791no—
1221#103—791no—
1222#103—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#103—791no—
1240#103—791no—
1241#103C22×D7911yescharacteristic
1242#103C22×D7911yescharacteristic
1243#103C22×D7911yescharacteristic
1244#103C22×D7911yescharacteristic
1245#103C22×D7911yescharacteristic
1246#103C22×D7911yescharacteristic
1247#103C22×D7911yescharacteristic
1248#103C22×D7911yescharacteristic
1249C22⋊C8—791no—
1250C22⋊C8—791no—
1251C22⋊C8—791no—
1252C22⋊C8—791no—
1253C22⋊C8—791no—
1254C22⋊C8—791no—
1255C22⋊C8C22×D7911yescharacteristic
1256C22⋊C8C22×D7911yescharacteristic
1257#97—791no—
1258#97—791no—
1259#97—791no—
1260#97C22×D7911yescharacteristic
1261C4×C8—791no—
1262C4×C8—791no—
1263C4×C8—791no—
1264C4×C8C22×D7911yescharacteristic
1265C24—791no—
1266C2×Q8—21no—
1267C2×Q8—21no—
1268C2×Q8—791no—
1269C2×Q8—791no—
1270C2×Q8—1581no—
1271C2×Q8—1581no—
1272C2×Q8—1581no—
1273C2×Q8—1581no—
1274C2×Q8—1581no—
1275C2×Q8—1581no—
1276C2×Q8—1582no—
1277C2×Q8—1582no—
1278C2×Q8—1582no—
1279C2×Q8—1582no—
1280C2×Q8—1581no—
1281C2×Q8—1581no—
1282C2×Q8C23×D7911yescharacteristic
1283C2×Q8C23×D7911yescharacteristic
1284C22×C4—21no—
1285C22×C4—791no—
1286C22×C4—791no—
1287C22×C4—791no—
1288C22×C4—791no—
1289C22×C4—791no—
1290C22×C4—791no—
1291C22×C4—791no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—1581no—
1295C22×C4—1581no—
1296C22×C4—1581no—
1297C22×C4—1581no—
1298C22×C4—1582no—
1299C22×C4—1582no—
1300C22×C4—1581no—
1301C22×C4—1581no—
1302C22×C4—1581no—
1303C22×C4C23×D7911yescharacteristic
1304M16—1582no—
1305M16—1582no—
1306M16—1582no—
1307M16—1582no—
1308C2×C8—791no—
1309C2×C8—791no—
1310C2×C8—791no—
1311C2×C8—791no—
1312C2×C8C23×D7911yescharacteristic
1313C2×C8C23×D7911yescharacteristic
1314C2×C8C23×D7911yescharacteristic
1315C2×C8C23×D7911yescharacteristic
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—791no—
1332C4⋊C4—791no—
1333C4⋊C4—791no—
1334C4⋊C4—791no—
1335C4⋊C4—791no—
1336C4⋊C4—791no—
1337C4⋊C4—791no—
1338C4⋊C4—791no—
1339C4⋊C4—791no—
1340C4⋊C4—791no—
1341C4⋊C4—791no—
1342C4⋊C4—791no—
1343C4⋊C4—1581no—
1344C4⋊C4—1581no—
1345C4⋊C4—1581no—
1346C4⋊C4—1581no—
1347C4⋊C4—1581no—
1348C4⋊C4—1581no—
1349C4⋊C4—1581no—
1350C4⋊C4—1581no—
1351C4⋊C4—1581no—
1352C4⋊C4—1581no—
1353C4⋊C4—1581no—
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⋊C4—1581no—
1383C4⋊C4—1581no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4D4×D7911yescharacteristic
1391C4⋊C4D4×D7911yescharacteristic
1392C4⋊C4C23×D7911yescharacteristic
1393C4⋊C4C23×D7911yescharacteristic
1394C4⋊C4C23×D7911yescharacteristic
1395C4⋊C4C23×D7911yescharacteristic
1396C4⋊C4C23×D7911yescharacteristic
1397C4⋊C4C23×D7911yescharacteristic
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—21no—
1401C22⋊C4—791no—
1402C22⋊C4—791no—
1403C22⋊C4—791no—
1404C22⋊C4—791no—
1405C22⋊C4—791no—
1406C22⋊C4—791no—
1407C22⋊C4—1581no—
1408C22⋊C4—1581no—
1409C22⋊C4—1581no—
1410C22⋊C4—1581no—
1411C22⋊C4—1581no—
1412C22⋊C4—1581no—
1413C22⋊C4—1581no—
1414C22⋊C4—1581no—
1415C22⋊C4—1581no—
1416C22⋊C4—1581no—
1417C22⋊C4—1581no—
1418C22⋊C4—1581no—
1419C22⋊C4—1581no—
1420C22⋊C4D4×D7911yescharacteristic
1421C22⋊C4D4×D7911yescharacteristic
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—791no—
1426C42—791no—
1427C42—791no—
1428C42—791no—
1429C42—791no—
1430C42—791no—
1431C42—1581no—
1432C42—1581no—
1433C42—1581no—
1434C42—1581no—
1435C42—1581no—
1436C42—1581no—
1437C42—1581no—
1438C42—1581no—
1439C42—1581no—
1440C42—1581no—
1441C42—1581no—
1442C42—1581no—
1443C42—1581no—
1444C42C23×D7911yescharacteristic
1445C42C23×D7911yescharacteristic
1446C23—3161no—
1447C23—3161no—
1448C23—791no—
1449C23—791no—
1450C23—1582no—
1451C23C2×D4×D7911yescharacteristic
1452Q8—21no—
1453Q8—21no—
1454Q8—21no—
1455Q8—21no—
1456Q8—81no—
1457Q8—81no—
1458Q8—3162no—
1459Q8—3162no—
1460Q8—6321no—
1461Q8—6321no—
1462Q8—6321no—
1463Q8—6321no—
1464Q8—6321no—
1465Q8—6321no—
1466Q8—1581no—
1467Q8—1581no—
1468Q8—1581no—
1469Q8—1581no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—81no—
1481C2×C4—3161no—
1482C2×C4—3161no—
1483C2×C4—3161no—
1484C2×C4—3161no—
1485C2×C4—3162no—
1486C2×C4—3162no—
1487C2×C4—3162no—
1488C2×C4—3162no—
1489C2×C4—791no—
1490C2×C4—792no—
1491C2×C4—792no—
1492C2×C4—791no—
1493C2×C4—791no—
1494C2×C4—791no—
1495C2×C4—791no—
1496C2×C4—791no—
1497C2×C4—6321no—
1498C2×C4—6321no—
1499C2×C4—6321no—
1500C2×C4—1582no—
1501C2×C4—1582no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1582no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4C2×D4×D7911yescharacteristic
1514C2×C4C2×D4×D7911yescharacteristic
1515C2×C4C2×D4×D7911yescharacteristic
1516C2×C4C2×D4×D7911yescharacteristic
1517C2×C4C2×D4×D7911yescharacteristic
1518C2×C4C24×D7911yescharacteristic
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—1581no—
1524C8—1581no—
1525C8—1581no—
1526C8—1581no—
1527C22—21no—
1528C22—21no—
1529C22—21no—
1530C22—792no—
1531C22—6322no—
1532C22—1581no—
1533C22—1581no—
1534C22—1581no—
1535C22—1581no—
1536C22—1581no—
1537C22C22×D4×D7911yescharacteristic
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—3161no—
1552C4—3161no—
1553C4—3161no—
1554C4—3161no—
1555C4—3161no—
1556C4—3161no—
1557C4—3161no—
1558C4—3161no—
1559C4—792no—
1560C4—1581no—
1561C4—1581no—
1562C4—1581no—
1563C4—1581no—
1564C4—1581no—
1565C42−1+4×D7911yescharacteristic
1566C42−1+4×D7911yescharacteristic
1567C2—41no—
1568C2—3161no—
1569C2—1582no—
1570C2#536×D7911yescharacteristic
1571C2#2377818211yescharacteristic
1572C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3242C2
socleC22×C79C23×D4
prime radicalC23×D79C2×D4
hypercenter#3242D79
hypocenterC79#60869
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #23774675C2semidirect
4. #23774674C2semidirect
5. #23774673C2semidirect
6. #23774672C2semidirect
7. #23774671C2semidirect
8. #23774670C2semidirect
9. #23774669C2semidirect
10. #23774668C2semidirect
11. #23774667C2semidirect
12. #23774666C2semidirect
13. #23774665C2semidirect
14. #23774664C2semidirect
15. #23774663C2semidirect
16. #23774662C2semidirect
17. #23774661C2semidirect
18. #23773951C2semidirect
19. #23773948C2semidirect
20. #23773779C2semidirect
21. #23773777C2semidirect
26. #23773206C2semidirect
27. #23773203C2semidirect
28. #23773203C2semidirect
29. #23773200C2semidirect
31. C79×#3242C2semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098969C22semidirect
82. #19098965C22semidirect
83. #19098964C22semidirect
84. #19098964C22semidirect
85. #19098963C22semidirect
86. #19098963C22semidirect
87. #19098962C22semidirect
88. #19098962C22semidirect
89. #19098933C22semidirect
90. #19098932C22semidirect
91. #19098931C22semidirect
92. #19098930C22semidirect
93. #19098930C22semidirect
94. #19098930C22semidirect
95. #19098930C22semidirect
96. #19098915C22semidirect
97. #19098914C22semidirect
98. #19098913C22semidirect
99. #19098912C22semidirect
100. #19098912C22semidirect
101. #19098912C22semidirect
102. #19098912C22semidirect
131. #19098873C22semidirect
132. #19098873C22semidirect
133. #19098872C22semidirect
134. #19098872C22semidirect
135. #19098871C22semidirect
136. #19098871C22semidirect
137. #19098870C22semidirect
138. #19098870C22semidirect
139. #19098869C22semidirect
140. #19098869C22semidirect
141. #19098868C22semidirect
142. #19098868C22semidirect
143. #19098867C22semidirect
144. #19098867C22semidirect
145. #19098859C22semidirect
146. #19098858C22semidirect
147. #19098857C22semidirect
148. #19098857C22semidirect
149. #19098856C22semidirect
150. #19098856C22semidirect
151. #19098855C22semidirect
152. #19098849C22semidirect
153. #19098848C22semidirect
154. #19098847C22semidirect
155. #19098847C22semidirect
156. #19098846C22semidirect
157. #19098846C22semidirect
158. #19098845C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #491×C79C22semidirect
193. #487×C79C22semidirect
198. #479×C79C22semidirect
199. #479×C79C22semidirect
200. #477×C79C22semidirect
201. #475×C79C22semidirect
804. #3242D79semidirect
818. C79#60869semidirect
871. #501C2×D79semidirect
879. #499C2×D79semidirect
887. #491C2×D79semidirect
895. #487C2×D79semidirect
942. #479C2×D79semidirect
943. #479C2×D79semidirect
951. #477C2×D79semidirect
959. #475C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768042
#541×D792
#237746752
#237746742
#237746732
#237746722
#237746712
#237746702
#237746692
#237746682
#237746672
#237746662
#237746652
#237746642
#237746632
#237746622
#237746612
#237739512
#237739482
#237737792
#237737772
#237733472
#237733452
#237733432
#237732062
#237732032
#237732002
#237720342
C79×#32422
#6086979