Finite Group Databasebeta

← #35160747

Subgroups — #35160747

Order 20224.

1640 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777144C211yesmaximal, characteristic
2#23776804C211yesmaximal, characteristic, complemented
3#23774702C211yesmaximal, characteristic, complemented
4#23774698C211yesmaximal, characteristic, complemented
5#23774689C211yesmaximal, characteristic, complemented
6#23774685C211yesmaximal, characteristic, complemented
7#23774672C211yesmaximal, characteristic, complemented
8#23774666C211yesmaximal, characteristic, complemented
9#23774662C211yesmaximal, characteristic, complemented
10#23774645C211yesmaximal, characteristic, complemented
11#23774643C211yesmaximal, characteristic, complemented
12#23774613C211yesmaximal, characteristic, complemented
13#23774609C211yesmaximal, characteristic, complemented
14#23774584C211yesmaximal, characteristic, complemented
15#23774580C211yesmaximal, characteristic, complemented
16#23774558C211yesmaximal, characteristic, complemented
17#23774556C211yesmaximal, characteristic, complemented
18#23773937C211yesmaximal, characteristic, complemented
19#23773927C211yesmaximal, characteristic, complemented
20#23773766C211yesmaximal, characteristic, complemented
21#23773760C211yesmaximal, characteristic, complemented
22#23773343C211yesmaximal, characteristic, complemented
23#23773332C211yesmaximal, characteristic
24#23773316C211yesmaximal, characteristic
25#485×D79C211yesmaximal, characteristic, complemented
26#23773259C211yesmaximal, characteristic, complemented
27#23773254C211yesmaximal, characteristic, complemented
28#23773241C211yesmaximal, characteristic, complemented
29#23773237C211yesmaximal, characteristic, complemented
30#23772056C211yesmaximal, characteristic, complemented
31C79×#3242C211yesmaximal, characteristic, complemented
32#19099280—21no—
33#19099269—21no—
34#19099251—21no—
35#19099249—21no—
36#19099245—21no—
37#19099245—21no—
38#19099238—21no—
39#19099238—21no—
40#19099194C2211yescharacteristic
41#19099193—21no—
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic
44#19099193C2211yescharacteristic
45#19099191C2211yescharacteristic
46#19099191C2211yescharacteristic
47#19099190—21no—
48#19099190C2211yescharacteristic
49#19099190C2211yescharacteristic
50#19099188—21no—
51#19099188—21no—
52#19099186C2211yescharacteristic
53#19099184C2211yescharacteristic
54#19099173C2211yescharacteristic
55#19099138C2211yescharacteristic
56#19099119—21no—
57#19099119C2211yescharacteristic
58#19099119C2211yescharacteristic
59#19099118—21no—
60#19099118C2211yescharacteristic
61#19099118C2211yescharacteristic
62#19099118C2211yescharacteristic
63#19099117C2211yescharacteristic
64#19099115—21no—
65#19099115—21no—
66#19099100C2211yescharacteristic
67#19099098C2211yescharacteristic
68#19099076C2211yescharacteristic
69C22⋊Q8×D79C2211yescharacteristic
70#19099045C2211yescharacteristic
71#19099039C2211yescharacteristic
72C2×#14579119C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098973C2211yescharacteristic, complemented
77#19098972C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098970C2211yescharacteristic, complemented
82#19098968C2211yescharacteristic, complemented
83#19098967C2211yescharacteristic, complemented
84#19098964C2211yescharacteristic, complemented
85#19098964C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098931C2211yescharacteristic, complemented
90#19098930C2211yescharacteristic, complemented
91#19098930C2211yescharacteristic, complemented
92#19098925C2211yescharacteristic, complemented
93#19098924C2211yescharacteristic, complemented
94#19098924C2211yescharacteristic, complemented
95#19098923C2211yescharacteristic, complemented
96#19098920C2211yescharacteristic, complemented
97#19098919C2211yescharacteristic, complemented
98#19098919C2211yescharacteristic, complemented
99#19098918C2211yescharacteristic, complemented
100#19098913C2211yescharacteristic, complemented
101#19098912C2211yescharacteristic, complemented
102#19098912C2211yescharacteristic, complemented
103#19098907C2211yescharacteristic
104#19098907C2211yescharacteristic
105#19098907C2211yescharacteristic
106#19098906C2211yescharacteristic
107#19098905C2211yescharacteristic
108#19098904C2211yescharacteristic
109#19098903C2211yescharacteristic
110#19098903C2211yescharacteristic
111#19098903C2211yescharacteristic
112#19098903C2211yescharacteristic
113#19098903C2211yescharacteristic
114#19098903C2211yescharacteristic
115#19098902C2211yescharacteristic
116#19098902C2211yescharacteristic
117#19098901C2211yescharacteristic
118#19098901C2211yescharacteristic
119#19098899C2211yescharacteristic
120#19098896C2211yescharacteristic
121#19098893C2211yescharacteristic
122#19098891C2211yescharacteristic
123#19098890C2211yescharacteristic
124#19098890C2211yescharacteristic
125#19098890C2211yescharacteristic
126#19098889C2211yescharacteristic
127#19098888C2211yescharacteristic
128#19098887C2211yescharacteristic
129#19098881C2211yescharacteristic
130#19098877C2211yescharacteristic
131#19098872C2211yescharacteristic, complemented
132#19098872C2211yescharacteristic, complemented
133#19098872C2211yescharacteristic, complemented
134#19098872C2211yescharacteristic, complemented
135#19098871C2211yescharacteristic, complemented
136#19098870C2211yescharacteristic, complemented
137#19098870C2211yescharacteristic, complemented
138#19098869C2211yescharacteristic, complemented
139#19098869C2211yescharacteristic, complemented
140#19098867C2211yescharacteristic, complemented
141#19098864C2211yescharacteristic, complemented
142#19098862C2211yescharacteristic, complemented
143#19098862C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098859C2211yescharacteristic, complemented
146#19098858C2211yescharacteristic, complemented
147#19098857C2211yescharacteristic, complemented
148#19098856C2211yescharacteristic, complemented
149#19098856C2211yescharacteristic, complemented
150#19098852C2211yescharacteristic, complemented
151#19098850C2211yescharacteristic, complemented
152#19098848C2211yescharacteristic, complemented
153#19098847C2211yescharacteristic, complemented
154#19098846C2211yescharacteristic, complemented
155#19098846C2211yescharacteristic, complemented
156#19098845C2211yescharacteristic, complemented
157#19098844C2211yescharacteristic, complemented
158#19098842C2211yescharacteristic, complemented
159#19098624C2211yescharacteristic
160#19098621C2211yescharacteristic
161#19098621C2211yescharacteristic
162#19098619C2211yescharacteristic
163#19098618C2211yescharacteristic
164#19098615C2211yescharacteristic
165#19098614C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098602C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098600C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098570C2211yescharacteristic
177#19098570C2211yescharacteristic
178#19098563C2211yescharacteristic
179#19098563C2211yescharacteristic
180#19098558C2211yescharacteristic
181#19098558C2211yescharacteristic
182#103×D79C2211yescharacteristic
183#103×D79C2211yescharacteristic
184#19098525C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#19098520C2211yescharacteristic
187#19098517C2211yescharacteristic
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×#11929625C2311yescharacteristic
204C2×Q8×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C2×#11929607C2311yescharacteristic
207C2×#11929607C2311yescharacteristic
208C2×C8×D79C2311yescharacteristic
209C2×C8×D79C2311yescharacteristic
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#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579159—21no—
225#14579159—21no—
226#14579159C2311yescharacteristic
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579154—21no—
232#14579154—21no—
233#14579153—21no—
234#14579153C2311yescharacteristic
235#14579153C2311yescharacteristic
236#14579152—21no—
237#14579152—21no—
238#14579152—21no—
239#14579152—21no—
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579150C2311yescharacteristic
253#14579149C2311yescharacteristic
254#14579147—21no—
255#14579147—21no—
256#14579146—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146—21no—
260#14579146—21no—
261#14579143—21no—
262#14579143—21no—
263#14579141—21no—
264#14579141—21no—
265#14579141—21no—
266#14579141—21no—
267#14579141—21no—
268#14579141—21no—
269#14579141—21no—
270#14579141C2311yescharacteristic
271#14579140—21no—
272#14579140—21no—
273#14579140C2311yescharacteristic
274#14579139—21no—
275#14579139—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579137—21no—
294#14579137—21no—
295#14579137—21no—
296#14579137—21no—
297#14579137C2311yescharacteristic
298#14579137C2311yescharacteristic
299#14579136C2311yescharacteristic
300#14579135C2311yescharacteristic
301#14579131—21no—
302Q8×Dic79—21no—
303Q8×Dic79—21no—
304Q8×Dic79C2311yescharacteristic
305Q8×Dic79C2311yescharacteristic
306C4×Dic158—21no—
307C4×Dic158—21no—
308C4×Dic158C2311yescharacteristic
309#14579126—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126C2311yescharacteristic
318C4×D316—21no—
319C4×D316—21no—
320C4×D316C2311yescharacteristic
321#14579123—21no—
322#14579123—21no—
323#14579123—21no—
324#14579123C2311yescharacteristic
325(C22⋊D79)⋊C4—21no—
326#14579120C2311yescharacteristic
327#14579120C2311yescharacteristic
328#14579119—21no—
329#14579119—21no—
330#14579119—21no—
331#14579119—21no—
332#14579119—21no—
333#14579119D411yescharacteristic
334#14579119D411yescharacteristic
335#14579119C2311yescharacteristic
336#14579119C2311yescharacteristic
337#14579119C2311yescharacteristic
338#14579119C2311yescharacteristic
339#14579119C2311yescharacteristic
340#14579119C2311yescharacteristic
341#14579119C2311yescharacteristic
342#14579118—21no—
343#14579118—21no—
344#14579118—21no—
345#14579118—21no—
346#14579118—21no—
347#14579118C2311yescharacteristic
348#14579118C2311yescharacteristic
349#14579117—21no—
350#14579117D411yescharacteristic
351#14579117D411yescharacteristic
352C2×C4⋊Dic79C2311yescharacteristic
353C4⋊C4×D79—21no—
354C4⋊C4×D79—21no—
355C4⋊C4×D79D411yescharacteristic
356C4⋊C4×D79D411yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C4⋊C4×D79C2311yescharacteristic
360C2×(C2×D79)⋊C4—21no—
361C22⋊C4×D79—21no—
362C22⋊C4×D79—21no—
363C22⋊C4×D79D411yescharacteristic
364C22⋊C4×D79D411yescharacteristic
365C2×C4×Dic79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579092C2311yescharacteristic
384#14579092C2311yescharacteristic
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#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
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
479#11929625—22no—
480#11929625—22no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158C2411yescharacteristic
491Q8×D79—22no—
492Q8×D79—22no—
493C2×D316—21no—
494C2×D316—21no—
495C2×D316C2411yescharacteristic
496C2×C22⋊D79—21no—
497C22×Dic79—21no—
498C22×Dic79C2×D411yescharacteristic
499C2×C4×D79—22no—
500C2×C4×D79—22no—
501C2×C4×D79—21no—
502C2×C4×D79—21no—
503C2×C4×D79—21no—
504C2×C4×D79—21no—
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79—21no—
508C2×C4×D79C2×D411yescharacteristic
509C2×C4×D79C2×D411yescharacteristic
510C2×C4×D79C2×D411yescharacteristic
511C2×C4×D79C2×D411yescharacteristic
512C2×C4×D79C2×D411yescharacteristic
513C2×C4×D79C2×D411yescharacteristic
514C2×C4×D79C2411yescharacteristic
515C2×C4×D79C2411yescharacteristic
516#11929607—22no—
517#11929607—22no—
518C2×C79⋊C8C2411yescharacteristic
519C2×C79⋊C8C2411yescharacteristic
520C2×C79⋊C8C2411yescharacteristic
521C2×C79⋊C8C2411yescharacteristic
522C8×D79—22no—
523C8×D79—22no—
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⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79C2×D411yescharacteristic
537C4⋊Dic79C2×D411yescharacteristic
538C4⋊Dic79C2411yescharacteristic
539C4⋊Dic79C2411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572C22⋊Dic79—21no—
573C22⋊Dic79—21no—
574C22⋊Dic79C2×D411yescharacteristic
575C22⋊Dic79C2×D411yescharacteristic
576(C2×D79)⋊C4—21no—
577(C2×D79)⋊C4—21no—
578(C2×D79)⋊C4—21no—
579(C2×D79)⋊C4—21no—
580(C2×D79)⋊C4—21no—
581(C2×D79)⋊C4—21no—
582(C2×D79)⋊C4—21no—
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)⋊C4—21no—
594(C2×D79)⋊C4C2×D411yescharacteristic
595(C2×D79)⋊C4C2×D411yescharacteristic
596(C2×D79)⋊C4C2×D411yescharacteristic
597(C2×D79)⋊C4C2×D411yescharacteristic
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—21no—
662C22×D79—41no—
663C22×D79—41no—
664C22×D79C22×D411yescharacteristic
665C22×D79C22×D411yescharacteristic
666Q8×C79—21no—
667Q8×C79—21no—
668Q8×C79—21no—
669Q8×C79—21no—
670Q8×C79—81no—
671Q8×C79—81no—
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—21no—
682C2×C4×C79—81no—
683C2×C4×C79C22×D411yescharacteristic
684C2×C4×C79C22×D411yescharacteristic
685C2×C4×C79C22×D411yescharacteristic
686C2×C4×C79C22×D411yescharacteristic
687C2×C4×C79C22×D411yescharacteristic
688C2×C4×C79C2511yescharacteristic
689C22⋊D79—81no—
690C2×Dic79—22no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—81no—
699C2×Dic79C22×D411yescharacteristic
700C2×Dic79C22×D411yescharacteristic
701C2×Dic79C22×D411yescharacteristic
702C2×Dic79C22×D411yescharacteristic
703C2×Dic79C22×D411yescharacteristic
704C2×Dic79C22×D411yescharacteristic
705D316—21no—
706D316—21no—
707D316—42no—
708D316—42no—
709C4×D79—22no—
710C4×D79—21no—
711C4×D79—21no—
712C4×D79—22no—
713C4×D79—41no—
714C4×D79—41no—
715C4×D79—41no—
716C4×D79—41no—
717C4×D79—42no—
718C4×D79—42no—
719C4×D79—81no—
720C4×D79—81no—
721C4×D79—81no—
722C4×D79—81no—
723C4×D79—81no—
724C4×D792−1+412yes—
725C4×D792−1+412yes—
726Dic158—21no—
727Dic158—21no—
728Dic158—42no—
729Dic158—81no—
730Dic158—81no—
731Dic158—81no—
732Dic158—81no—
733Dic158—81no—
734Dic158—81no—
735Dic158—81no—
736Dic158—81no—
737C8×C79—21no—
738C8×C79—21no—
739C8×C79—21no—
740C8×C79—21no—
741C79⋊C8—21no—
742C79⋊C8—21no—
743C79⋊C8—21no—
744C79⋊C8—21no—
745C22×C79—21no—
746C22×C79—21no—
747C22×C79—21no—
748C22×C79C23×D411yescharacteristic
749C2×D79—21no—
750C2×D79—21no—
751C2×D79—21no—
752C2×D79—21no—
753C2×D79—21no—
754C2×D79—41no—
755C2×D79—41no—
756C2×D79—41no—
757C2×D79—82no—
758C2×D79#53612yes—
759C4×C79—21no—
760C4×C79—21no—
761C4×C79—21no—
762C4×C79—21no—
763C4×C79—21no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767C4×C79—41no—
768C4×C79—41no—
769C4×C79—41no—
770C4×C79—41no—
771C4×C79—41no—
772C4×C79C2×2−1+411yescharacteristic
773C4×C79C2×2−1+411yescharacteristic
774Dic79—21no—
775Dic79—21no—
776Dic79—21no—
777Dic79—21no—
778Dic79—21no—
779Dic79—41no—
780Dic79—41no—
781Dic79—41no—
782Dic79—41no—
783Dic79—41no—
784Dic79—41no—
785Dic79—41no—
786Dic79#53612yes—
787#60876—791nomaximal, Sylow
788C2×C79—41no—
789C2×C79C2×#53611yescharacteristic
790C2×C79#358411yescharacteristic
791C2×C79#358611yescharacteristic
792D79—22no—
793D79—41no—
794D79—81no—
795#3495—791no—
796#3458—791no—
797#3244—791no—
798#3244—791no—
799#3243—791no—
800#3243—791no—
801#3242—791no—
802#3242—791no—
803#3242—791no—
804#3242D7911yescharacteristic, complemented
805#3240—791no—
806#3240—791no—
807#3237—791no—
808#3237—791no—
809#3233—791no—
810#3233—791no—
811#3231—791no—
812#3231—791no—
813#3164—791no—
814#3163—791no—
815#3137—791no—
816#3137—791no—
817#3095—791no—
818#3093—791no—
819#3091—791no—
820C2×#485—791no—
821#3084—791no—
822#3083—791no—
823#3082—791no—
824#3082—791no—
825#2924—791no—
826C79#6087611yescharacteristic, complemented, Sylow
827#556—1581no—
828#554—1581no—
829#552—1581no—
830#552—1581no—
831#552—1581no—
832#552—1581no—
833#551—1581no—
834#551—1581no—
835#544—791no—
836#544—791no—
837#544—791no—
838#544—791no—
839#544—791no—
840#544—791no—
841#544—791no—
842#544—791no—
843#544—1581no—
844#544—1581no—
845#544C2×D7911yescharacteristic
846#543—1581no—
847#543—1581no—
848#542—791no—
849#542—791no—
850#541—791no—
851#541C2×D7911yescharacteristic
852#536—791no—
853#533—791no—
854#533—791no—
855#533—791no—
856#533—791no—
857#533—791no—
858#533—791no—
859#533—1581no—
860#533—1581no—
861#533—1581no—
862#533—1581no—
863#529—791no—
864#529—791no—
865#525—791no—
866C2×C22⋊Q8—791no—
867#520—791no—
868#519—791no—
869C2×#117—791no—
870C2×#117—791no—
871C2×#117—791no—
872#501—791no—
873#501—791no—
874#501—791no—
875#501—791no—
876#501—791no—
877#501—791no—
878#501—791no—
879#501C2×D7911yescharacteristic, complemented
880#500—791no—
881#500—791no—
882#499—791no—
883#499—791no—
884#499—791no—
885#499C2×D7911yescharacteristic, complemented
886#498—791no—
887#498—791no—
888#491—791no—
889#491—791no—
890#491—791no—
891#491C2×D7911yescharacteristic, complemented
892#489—791no—
893#489—791no—
894#489—791no—
895#489—791no—
896#488—791no—
897#488—791no—
898#488—791no—
899#488—791no—
900#487—791no—
901#487—791no—
902#487—791no—
903#487C2×D7911yescharacteristic, complemented
904#485—791no—
905#485—791no—
906#485—791no—
907#485—791no—
908#485—791no—
909#485—791no—
910#485—791no—
911#485—791no—
912#485—791no—
913#485—791no—
914#485—791no—
915#485—791no—
916#485—791no—
917#485—791no—
918#485—791no—
919#485—791no—
920#485C2×D7911yescharacteristic
921#485C2×D7911yescharacteristic
922#484—791no—
923#484—791no—
924#484C2×D7911yescharacteristic
925#483—791no—
926#483—791no—
927#483C2×D7911yescharacteristic
928#482—791no—
929#482—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#481—791no—
935#480—791no—
936#479—791no—
937#479—791no—
938#479—791no—
939#479—791no—
940#479—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#479—791no—
946#479C2×D7911yescharacteristic, complemented
947#479C2×D7911yescharacteristic, complemented
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#477—791no—
953#477—791no—
954#477—791no—
955#477—791no—
956#477—791no—
957#477C2×D7911yescharacteristic, complemented
958#476—791no—
959#476—791no—
960#475—791no—
961#475—791no—
962#475—791no—
963#475—791no—
964#475—791no—
965#475C2×D7911yescharacteristic, complemented
966#474—791no—
967#474—791no—
968#433—791no—
969#433—791no—
970#433—791no—
971#433C2×D7911yescharacteristic
972#432—791no—
973#432—791no—
974#431—791no—
975#431—791no—
976#428—791no—
977#428—791no—
978#428—791no—
979#428—791no—
980#427—791no—
981#427—791no—
982C2×#107—791no—
983C2×#106—791no—
984#424—791no—
985#424—791no—
986#419—791no—
987#419—791no—
988#417—791no—
989#417—791no—
990#416—791no—
991#416—791no—
992C2×#103—791no—
993C2×#103—791no—
994#407—791no—
995C2×C22⋊C8—791no—
996#405—791no—
997#405—791no—
998C2×#41—791no—
999C22×Q8—791no—
1000C23×C4—791no—
1001C2×M16—791no—
1002C2×M16—791no—
1003C22×C8—791no—
1004C22×C8—791no—
1005C4⋊Q8—21no—
1006C4⋊Q8—791no—
1007C4⋊Q8—791no—
1008C4⋊Q8—791no—
1009C4⋊Q8—791no—
1010C4⋊Q8—791no—
1011C4⋊Q8—791no—
1012C4⋊Q8—791no—
1013C4⋊Q8—791no—
1014C4⋊Q8—791no—
1015C4⋊Q8—1581no—
1016C4⋊Q8—1581no—
1017C4⋊Q8—1581no—
1018C4⋊Q8—1581no—
1019C4⋊Q8—1581no—
1020C4⋊Q8—1581no—
1021C4⋊Q8—1581no—
1022C4⋊Q8—1581no—
1023C4⋊Q8C22×D7911yescharacteristic
1024C4⋊Q8C22×D7911yescharacteristic
1025C4⋊Q8C22×D7911yescharacteristic
1026#126—21no—
1027#126—21no—
1028#126—1581no—
1029#126—1581no—
1030#126—1581no—
1031#126—1581no—
1032#126—1581no—
1033#126—1581no—
1034#125—21no—
1035#125—21no—
1036#125—21no—
1037#125—791no—
1038#125—791no—
1039#125—791no—
1040#125—791no—
1041#125—791no—
1042#125—791no—
1043#125—791no—
1044#125—1581no—
1045#125—1581no—
1046#125—1581no—
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#125C22×D7911yescharacteristic
1057#125C22×D7911yescharacteristic
1058#125C22×D7911yescharacteristic
1059#124—791no—
1060#124—791no—
1061#124—1581no—
1062#124—1581no—
1063#123—1581no—
1064#123—1581no—
1065#123—1581no—
1066#123—1581no—
1067#123—1581no—
1068#123—1581no—
1069#123—1581no—
1070C22⋊Q8—21no—
1071C22⋊Q8—21no—
1072C22⋊Q8—791no—
1073C22⋊Q8—791no—
1074C22⋊Q8—791no—
1075C22⋊Q8—791no—
1076C22⋊Q8—1581no—
1077C22⋊Q8—1581no—
1078C22⋊Q8—1581no—
1079C22⋊Q8—1581no—
1080C22⋊Q8—1581no—
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⋊Q8—1581no—
1108C22⋊Q8C22×D7911yescharacteristic
1109C22⋊Q8C22×D7911yescharacteristic
1110#121—791no—
1111#121—791no—
1112#120—1581no—
1113C4×Q8—791no—
1114C4×Q8—791no—
1115C4×Q8—791no—
1116C4×Q8—791no—
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×Q8—1581no—
1128C4×Q8—1581no—
1129C4×Q8C22×D7911yescharacteristic
1130C4×Q8C22×D7911yescharacteristic
1131C4×D4—791no—
1132C4×D4—791no—
1133C4×D4—1581no—
1134C4×D4—1581no—
1135C4×D4—1581no—
1136C4×D4—1581no—
1137C4×D4—1581no—
1138C4×D4—1581no—
1139#117—791no—
1140#117—791no—
1141#117—791no—
1142#117—791no—
1143#117—791no—
1144#117—791no—
1145#117—791no—
1146#117—791no—
1147#117—791no—
1148#117—791no—
1149#117—791no—
1150#117—791no—
1151#117—791no—
1152#117—791no—
1153#117—791no—
1154#117—1581no—
1155#117—1581no—
1156#117—1581no—
1157#117—1581no—
1158#117—1581no—
1159#117—1581no—
1160#117—1581no—
1161#117—1581no—
1162#117—1581no—
1163#117—1581no—
1164#117—1581no—
1165#117C22×D7911yescharacteristic
1166#117C22×D7911yescharacteristic
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—791no—
1173C2×C4⋊C4—1581no—
1174C2×C4⋊C4—1581no—
1175C2×C4⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—1581no—
1179C2×C22⋊C4—1581no—
1180C2×C22⋊C4—1581no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—1581no—
1184C2×C42—1581no—
1185#107—791no—
1186#107—791no—
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#107C22×D7911yescharacteristic
1198#107C22×D7911yescharacteristic
1199#107C22×D7911yescharacteristic
1200#107C22×D7911yescharacteristic
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—
1211#106—791no—
1212#106—791no—
1213#106C22×D7911yescharacteristic
1214#106C22×D7911yescharacteristic
1215#106C22×D7911yescharacteristic
1216#106C22×D7911yescharacteristic
1217C4⋊C8—791no—
1218C4⋊C8—791no—
1219C4⋊C8—791no—
1220C4⋊C8—791no—
1221C4⋊C8—791no—
1222C4⋊C8—791no—
1223C4⋊C8C22×D7911yescharacteristic
1224C4⋊C8C22×D7911yescharacteristic
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
1249#102—791no—
1250#102—791no—
1251#102—791no—
1252#102—791no—
1253#102—791no—
1254#102—791no—
1255#102—791no—
1256#102—791no—
1257C22⋊C8—791no—
1258C22⋊C8—791no—
1259C22⋊C8—791no—
1260C22⋊C8—791no—
1261C22⋊C8—791no—
1262C22⋊C8—791no—
1263C22⋊C8C22×D7911yescharacteristic
1264C22⋊C8C22×D7911yescharacteristic
1265#97—791no—
1266#97—791no—
1267#97—791no—
1268#97C22×D7911yescharacteristic
1269C4×C8—791no—
1270C4×C8—791no—
1271C4×C8—791no—
1272C4×C8C22×D7911yescharacteristic
1273C24—791no—
1274#41—1582no—
1275#41—1582no—
1276C2×Q8—21no—
1277C2×Q8—21no—
1278C2×Q8—791no—
1279C2×Q8—1581no—
1280C2×Q8—1581no—
1281C2×Q8—1581no—
1282C2×Q8—1581no—
1283C2×Q8—1581no—
1284C2×Q8—1581no—
1285C2×Q8—1582no—
1286C2×Q8—1582no—
1287C2×Q8—1581no—
1288C2×Q8—1581no—
1289C2×Q8—1581no—
1290C2×Q8C23×D7911yescharacteristic
1291C2×Q8C23×D7911yescharacteristic
1292C2×D4—791no—
1293C2×D4—1581no—
1294C2×D4—1581no—
1295C2×D4—1581no—
1296C22×C4—21no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—1581no—
1307C22×C4—1581no—
1308C22×C4—1581no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1581no—
1312C22×C4—1581no—
1313C22×C4—1581no—
1314C22×C4—1581no—
1315C22×C4—1581no—
1316C22×C4C23×D7911yescharacteristic
1317M16—1582no—
1318M16—1582no—
1319C2×C8—791no—
1320C2×C8—791no—
1321C2×C8—791no—
1322C2×C8—791no—
1323C2×C8—1582no—
1324C2×C8—1582no—
1325C2×C8C23×D7911yescharacteristic
1326C2×C8C23×D7911yescharacteristic
1327C2×C8C23×D7911yescharacteristic
1328C2×C8C23×D7911yescharacteristic
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—791no—
1345C4⋊C4—791no—
1346C4⋊C4—791no—
1347C4⋊C4—791no—
1348C4⋊C4—791no—
1349C4⋊C4—791no—
1350C4⋊C4—791no—
1351C4⋊C4—791no—
1352C4⋊C4—791no—
1353C4⋊C4—791no—
1354C4⋊C4—791no—
1355C4⋊C4—791no—
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⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4D4×D7911yescharacteristic
1393C4⋊C4D4×D7911yescharacteristic
1394C4⋊C4C23×D7911yescharacteristic
1395C4⋊C4C23×D7911yescharacteristic
1396C4⋊C4C23×D7911yescharacteristic
1397C4⋊C4C23×D7911yescharacteristic
1398C4⋊C4C23×D7911yescharacteristic
1399C4⋊C4C23×D7911yescharacteristic
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—791no—
1404C22⋊C4—791no—
1405C22⋊C4—791no—
1406C22⋊C4—791no—
1407C22⋊C4—791no—
1408C22⋊C4—791no—
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⋊C4—1581no—
1421C22⋊C4—1581no—
1422C22⋊C4—1581no—
1423C22⋊C4—1581no—
1424C22⋊C4—1581no—
1425C22⋊C4—1581no—
1426C22⋊C4—1581no—
1427C22⋊C4—1581no—
1428C22⋊C4—1581no—
1429C22⋊C4D4×D7911yescharacteristic
1430C22⋊C4D4×D7911yescharacteristic
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—791no—
1435C42—791no—
1436C42—791no—
1437C42—791no—
1438C42—791no—
1439C42—791no—
1440C42—1581no—
1441C42—1581no—
1442C42—1581no—
1443C42—1581no—
1444C42—1581no—
1445C42—1581no—
1446C42—1581no—
1447C42—1581no—
1448C42—1581no—
1449C42—1581no—
1450C42—1581no—
1451C42—1581no—
1452C42C23×D7911yescharacteristic
1453C42C23×D7911yescharacteristic
1454C23—3161no—
1455C23—3161no—
1456C23—791no—
1457C23—791no—
1458C23—1582no—
1459C23—1581no—
1460C23C2×D4×D7911yescharacteristic
1461Q8—21no—
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—81no—
1466Q8—81no—
1467Q8—3162no—
1468Q8—6321no—
1469Q8—6321no—
1470Q8—6321no—
1471Q8—6321no—
1472Q8—6321no—
1473Q8—6321no—
1474Q8—6321no—
1475Q8—6321no—
1476Q8—1581no—
1477Q8—1581no—
1478D4—3162no—
1479D4—3162no—
1480D4—6321no—
1481D4—1581no—
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—21no—
1492C2×C4—21no—
1493C2×C4—81no—
1494C2×C4—3161no—
1495C2×C4—3161no—
1496C2×C4—3161no—
1497C2×C4—3161no—
1498C2×C4—3162no—
1499C2×C4—3162no—
1500C2×C4—791no—
1501C2×C4—792no—
1502C2×C4—792no—
1503C2×C4—791no—
1504C2×C4—791no—
1505C2×C4—791no—
1506C2×C4—791no—
1507C2×C4—791no—
1508C2×C4—6321no—
1509C2×C4—6321no—
1510C2×C4—6321no—
1511C2×C4—6321no—
1512C2×C4—6321no—
1513C2×C4—6321no—
1514C2×C4—1582no—
1515C2×C4—1582no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1582no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4C2×D4×D7911yescharacteristic
1527C2×C4C2×D4×D7911yescharacteristic
1528C2×C4C2×D4×D7911yescharacteristic
1529C2×C4C2×D4×D7911yescharacteristic
1530C2×C4C2×D4×D7911yescharacteristic
1531C2×C4C24×D7911yescharacteristic
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—1581no—
1537C8—1581no—
1538C8—1581no—
1539C8—1581no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—3161no—
1544C22—3161no—
1545C22—3161no—
1546C22—792no—
1547C22—6322no—
1548C22—1581no—
1549C22—1581no—
1550C22—1581no—
1551C22—1581no—
1552C22—1581no—
1553C22C22×D4×D7911yescharacteristic
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—792no—
1575C4—1581no—
1576C4—1581no—
1577C4—1581no—
1578C4—1581no—
1579C4—1581no—
1580C42−1+4×D7911yescharacteristic
1581C42−1+4×D7911yescharacteristic
1582C2—41no—
1583C2—3161no—
1584C2—6321no—
1585C2—1582no—
1586C2#536×D7911yescharacteristic
1587C2#2377817011yescharacteristic
1588C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3242C2
socleC22×C79C23×D4
prime radical#19099076C22
hypercenter#3242D79
hypocenterC79#60876
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
2. #23776804C2semidirect
3. #23774702C2semidirect
4. #23774698C2semidirect
5. #23774689C2semidirect
6. #23774685C2semidirect
7. #23774672C2semidirect
8. #23774666C2semidirect
9. #23774662C2semidirect
10. #23774645C2semidirect
11. #23774643C2semidirect
12. #23774613C2semidirect
13. #23774609C2semidirect
14. #23774584C2semidirect
15. #23774580C2semidirect
16. #23774558C2semidirect
17. #23774556C2semidirect
18. #23773937C2semidirect
19. #23773927C2semidirect
20. #23773766C2semidirect
21. #23773760C2semidirect
22. #23773343C2semidirect
25. #485×D79C2semidirect
26. #23773259C2semidirect
27. #23773254C2semidirect
28. #23773241C2semidirect
29. #23773237C2semidirect
30. #23772056C2semidirect
31. C79×#3242C2semidirect
75. #19098973C22semidirect
76. #19098973C22semidirect
77. #19098972C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098970C22semidirect
82. #19098968C22semidirect
83. #19098967C22semidirect
84. #19098964C22semidirect
85. #19098964C22semidirect
86. #19098962C22semidirect
87. #19098960C22semidirect
88. #19098959C22semidirect
89. #19098931C22semidirect
90. #19098930C22semidirect
91. #19098930C22semidirect
92. #19098925C22semidirect
93. #19098924C22semidirect
94. #19098924C22semidirect
95. #19098923C22semidirect
96. #19098920C22semidirect
97. #19098919C22semidirect
98. #19098919C22semidirect
99. #19098918C22semidirect
100. #19098913C22semidirect
101. #19098912C22semidirect
102. #19098912C22semidirect
131. #19098872C22semidirect
132. #19098872C22semidirect
133. #19098872C22semidirect
134. #19098872C22semidirect
135. #19098871C22semidirect
136. #19098870C22semidirect
137. #19098870C22semidirect
138. #19098869C22semidirect
139. #19098869C22semidirect
140. #19098867C22semidirect
141. #19098864C22semidirect
142. #19098862C22semidirect
143. #19098862C22semidirect
144. #19098860C22semidirect
145. #19098859C22semidirect
146. #19098858C22semidirect
147. #19098857C22semidirect
148. #19098856C22semidirect
149. #19098856C22semidirect
150. #19098852C22semidirect
151. #19098850C22semidirect
152. #19098848C22semidirect
153. #19098847C22semidirect
154. #19098846C22semidirect
155. #19098846C22semidirect
156. #19098845C22semidirect
157. #19098844C22semidirect
158. #19098842C22semidirect
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
826. C79#60876semidirect
879. #501C2×D79semidirect
885. #499C2×D79semidirect
891. #491C2×D79semidirect
903. #487C2×D79semidirect
946. #479C2×D79semidirect
947. #479C2×D79semidirect
957. #477C2×D79semidirect
965. #475C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771442
#237768042
#237747022
#237746982
#237746892
#237746852
#237746722
#237746662
#237746622
#237746452
#237746432
#237746132
#237746092
#237745842
#237745802
#237745582
#237745562
#237739372
#237739272
#237737662
#237737602
#237733432
#237733322
#237733162
#485×D792
#237732592
#237732542
#237732412
#237732372
#237720562
C79×#32422
#6087679