Finite Group Databasebeta

← #35185472

Subgroups — #35185472

Order 20224.

1716 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777344C211yesmaximal, characteristic, complemented
2#23776354C211yesmaximal, characteristic, complemented
3#23776271C211yesmaximal, characteristic, complemented
4#23776168C211yesmaximal, characteristic, complemented
5#23776060C211yesmaximal, characteristic, complemented
6#23775989C211yesmaximal, characteristic, complemented
7#23775960C211yesmaximal, characteristic, complemented
8#23775954C211yesmaximal, characteristic, complemented
9#23775924C211yesmaximal, characteristic, complemented
10#23775840C211yesmaximal, characteristic, complemented
11#23775796C211yesmaximal, characteristic, complemented
12#23775625C211yesmaximal, characteristic, complemented
13#23775610C211yesmaximal, characteristic, complemented
14#23775595C211yesmaximal, characteristic, complemented
15#23775550C211yesmaximal, characteristic, complemented
16#23775535C211yesmaximal, characteristic, complemented
17#23775229C211yesmaximal, characteristic, complemented
18#23774856C211yesmaximal, characteristic, complemented
19#23774811C211yesmaximal, characteristic, complemented
20#23774796C211yesmaximal, characteristic, complemented
21#23774698C211yesmaximal, characteristic, complemented
22#23774653C211yesmaximal, characteristic, complemented
23#23774579C211yesmaximal, characteristic, complemented
24#23773671C211yesmaximal, characteristic, complemented
25#23773578C211yesmaximal, characteristic, complemented
26#23773443C211yesmaximal, characteristic, complemented
27#23773247C211yesmaximal, characteristic, complemented
28#23773225C211yesmaximal, characteristic, complemented
29#23773193C211yesmaximal, characteristic, complemented
30#23772549C211yesmaximal, characteristic, complemented
31C79×#3565C211yesmaximal, characteristic, complemented
32#19099298C2211yescharacteristic
33#19099273C2211yescharacteristic
34#19099264—21no—
35#19099259C2211yescharacteristic
36#19099253C2211yescharacteristic
37#19099240—21no—
38#19099238—21no—
39#19099217C2211yescharacteristic
40#19099209C2211yescharacteristic
41#19099209C2211yescharacteristic
42#19099202—21no—
43D4×D316C2211yescharacteristic
44#19099184C2211yescharacteristic
45#19099168C2211yescharacteristic
46#19099161—21no—
47#19099147—21no—
48#19099097C2211yescharacteristic
49#19099071—21no—
50#123×D79—21no—
51#19099043C2211yescharacteristic
52#19099037C2211yescharacteristic
53C2×C4×D316C2211yescharacteristic
54#19098973C2211yescharacteristic, complemented
55#19098969C2211yescharacteristic, complemented
56#19098962C2211yescharacteristic, complemented
57#19098962C2211yescharacteristic, complemented
58#19098962C2211yescharacteristic, complemented
59#19098959C2211yescharacteristic, complemented
60#19098929C2211yescharacteristic
61#19098925C2211yescharacteristic, complemented
62#19098920C2211yescharacteristic, complemented
63#19098920C2211yescharacteristic, complemented
64#19098920C2211yescharacteristic, complemented
65#19098911C2211yescharacteristic
66#19098904C2211yescharacteristic, complemented
67#19098904C2211yescharacteristic, complemented
68#19098904C2211yescharacteristic, complemented
69#19098901C2211yescharacteristic, complemented
70#19098896C2211yescharacteristic, complemented
71#19098893C2211yescharacteristic, complemented
72#19098891C2211yescharacteristic, complemented
73#19098887C2211yescharacteristic
74#19098887C2211yescharacteristic
75#19098887C2211yescharacteristic
76#19098887C2211yescharacteristic, complemented
77#19098887C2211yescharacteristic, complemented
78#19098884C2211yescharacteristic, complemented
79#19098881C2211yescharacteristic
80#19098881C2211yescharacteristic, complemented
81#19098879C2211yescharacteristic, complemented
82#19098879C2211yescharacteristic, complemented
83#19098876C2211yescharacteristic, complemented
84#19098870C2211yescharacteristic, complemented
85#19098870C2211yescharacteristic, complemented
86#19098867C2211yescharacteristic, complemented
87#19098867C2211yescharacteristic, complemented
88#19098863C2211yescharacteristic, complemented
89#19098863C2211yescharacteristic, complemented
90#19098860C2211yescharacteristic
91#19098860C2211yescharacteristic
92#19098860C2211yescharacteristic
93#19098860C2211yescharacteristic
94#19098860C2211yescharacteristic
95#19098860C2211yescharacteristic, complemented
96#19098860C2211yescharacteristic, complemented
97#19098860C2211yescharacteristic, complemented
98#19098860C2211yescharacteristic, complemented
99#19098860C2211yescharacteristic, complemented
100#19098858C2211yescharacteristic, complemented
101#19098855C2211yescharacteristic, complemented
102#19098855C2211yescharacteristic, complemented
103#19098850C2211yescharacteristic
104#19098850C2211yescharacteristic, complemented
105#19098850C2211yescharacteristic, complemented
106#19098850C2211yescharacteristic, complemented
107#19098845C2211yescharacteristic, complemented
108#19098843C2211yescharacteristic, complemented
109#19098840C2211yescharacteristic
110#19098840C2211yescharacteristic
111#19098840C2211yescharacteristic
112#19098840C2211yescharacteristic, complemented
113#19098840C2211yescharacteristic, complemented
114#19098819C2211yescharacteristic, complemented
115#19098814C2211yescharacteristic
116#19098814C2211yescharacteristic, complemented
117#19098811C2211yescharacteristic
118#19098811C2211yescharacteristic
119#19098811C2211yescharacteristic, complemented
120#19098807C2211yescharacteristic, complemented
121#19098807C2211yescharacteristic, complemented
122#19098802C2211yescharacteristic, complemented
123#19098797C2211yescharacteristic
124#19098797C2211yescharacteristic, complemented
125#19098794C2211yescharacteristic, complemented
126#19098785C2211yescharacteristic, complemented
127#19098785C2211yescharacteristic, complemented
128#19098782C2211yescharacteristic, complemented
129#19098778C2211yescharacteristic, complemented
130#19098778C2211yescharacteristic, complemented
131#19098775C2211yescharacteristic
132#19098775C2211yescharacteristic, complemented
133#19098775C2211yescharacteristic, complemented
134#19098763C2211yescharacteristic
135#19098758C2211yescharacteristic
136#19098723C2211yescharacteristic
137#19098713C2211yescharacteristic
138#19098713C2211yescharacteristic
139#19098706C2211yescharacteristic
140#19098696C2211yescharacteristic
141#19098696C2211yescharacteristic
142#19098694C2211yescharacteristic, complemented
143Q8×C79⋊C8C2211yescharacteristic, complemented
144#19098673C2211yescharacteristic
145#19098673C2211yescharacteristic
146#19098668C2211yescharacteristic, complemented
147#19098661C2211yescharacteristic, complemented
148C4×#11929611C2211yescharacteristic
149C4×#11929611C2211yescharacteristic
150C4×#11929611C2211yescharacteristic
151C4×#11929611C2211yescharacteristic, complemented
152C4×#11929612C2211yescharacteristic, complemented
153C4×#11929609C2211yescharacteristic
154C4×#11929609C2211yescharacteristic, complemented
155C4×#11929609C2211yescharacteristic, complemented
156#19098641C2211yescharacteristic
157#19098641C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic, complemented
159#19098635C2211yescharacteristic
160#19098635C2211yescharacteristic, complemented
161D4×C79⋊C8C2211yescharacteristic, complemented
162#19098624C2211yescharacteristic, complemented
163#19098624C2211yescharacteristic, complemented
164#19098616C2211yescharacteristic, complemented
165#19098606C2211yescharacteristic, complemented
166#19098606C2211yescharacteristic, complemented
167#19098606C2211yescharacteristic, complemented
168#19098603C2211yescharacteristic, complemented
169#19098599C2211yescharacteristic, complemented
170C2×#14579094C2211yescharacteristic, complemented
171#19098590C2211yescharacteristic, complemented
172#19098590C2211yescharacteristic, complemented
173#19098587C2211yescharacteristic, complemented
174#19098567C2211yescharacteristic
175#19098567C2211yescharacteristic
176#19098567C2211yescharacteristic
177#19098562C2211yescharacteristic
178#19098557C2211yescharacteristic
179C2×#14579081C2211yescharacteristic
180#563×C79—21no—
181#562×C79—21no—
182#557×C79C2211yescharacteristic, complemented
183#556×C79—21no—
184#556×C79C2211yescharacteristic
185#555×C79C2211yescharacteristic, complemented
186#554×C79C2211yescharacteristic, complemented
187#553×C79C2211yescharacteristic
188#553×C79C2211yescharacteristic, complemented
189#552×C79—21no—
190#552×C79C2211yescharacteristic, complemented
191#552×C79C2211yescharacteristic, complemented
192#544×C79C2211yescharacteristic, complemented
193#544×C79C2211yescharacteristic, complemented
194#542×C79—21no—
195#542×C79—21no—
196#542×C79C2211yescharacteristic, complemented
197#542×C79C2211yescharacteristic, complemented
198#541×C79—21no—
199#539×C79—21no—
200#533×C79C2211yescharacteristic, complemented
201#529×C79C2211yescharacteristic
202#529×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C22×D316C2311yescharacteristic
206C22×D316C2311yescharacteristic
207C2×D4×D79—21no—
208C22×C4×D79—21no—
209C2×#11929614C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929611C2311yescharacteristic
212C2×#11929611C2311yescharacteristic
213C2×#11929611C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216C2×#11929609C2311yescharacteristic
217C2×#11929608C2311yescharacteristic
218C2×#11929608C2311yescharacteristic
219C2×#11929608C2311yescharacteristic
220C2×#11929608C2311yescharacteristic
221C22×C79⋊C8C2311yescharacteristic
222C22×C79⋊C8C2311yescharacteristic
223#14579161C2311yescharacteristic
224#14579158C2311yescharacteristic
225#14579156—21no—
226#14579156—21no—
227#14579155—21no—
228#14579154—21no—
229#14579153C2311yescharacteristic
230#14579153C2311yescharacteristic
231#14579151—21no—
232#14579150—21no—
233#14579149C2311yescharacteristic
234#14579149C2311yescharacteristic
235#14579147—21no—
236#14579146—21no—
237#14579146—21no—
238#14579146—21no—
239#14579146—21no—
240#14579146—21no—
241#14579146—21no—
242#14579145—21no—
243#14579145—21no—
244#14579144—21no—
245#14579143—21no—
246#14579143—21no—
247#14579142—21no—
248#14579141—21no—
249#14579140C2311yescharacteristic
250#14579140C2311yescharacteristic
251#14579139—21no—
252#14579139—21no—
253#14579139—21no—
254#14579137—21no—
255#14579136—21no—
256#14579135C2311yescharacteristic
257#14579135C2311yescharacteristic
258#14579135C2311yescharacteristic
259#14579135C2311yescharacteristic
260#14579134—21no—
261#14579134—21no—
262#14579134—21no—
263#14579134—21no—
264#14579133—21no—
265#14579131—21no—
266#14579131—21no—
267#14579129—21no—
268#14579129—21no—
269C4×Dic158C2311yescharacteristic
270C4×Dic158C2311yescharacteristic
271C4×D316—21no—
272C4×D316—21no—
273C4×D316C2311yescharacteristic
274C4×D316C2311yescharacteristic
275C4×D316C2311yescharacteristic
276C4×D316C2311yescharacteristic
277C4×D316C2311yescharacteristic
278C4×D316C2311yescharacteristic
279C4×D316C2311yescharacteristic
280C4×D316C2311yescharacteristic
281#14579123—21no—
282#14579123—21no—
283#14579123—21no—
284C4×C22⋊D79—21no—
285(C22⋊D79)⋊C4—21no—
286(C22⋊D79)⋊C4—21no—
287(C22⋊D79)⋊C4—21no—
288#14579120C2311yescharacteristic
289#14579119—21no—
290#14579118—21no—
291#14579117—21no—
292C2×C4⋊Dic79C2311yescharacteristic
293C2×C4⋊Dic79C2311yescharacteristic
294C4⋊C4×D79—21no—
295C4⋊C4×D79—21no—
296C2×(C2×D79)⋊C4—21no—
297C22⋊C4×D79—21no—
298C22⋊C4×D79—21no—
299C22⋊C4×D79—21no—
300C22⋊C4×D79—21no—
301#14579094C2311yescharacteristic
302#14579094C2311yescharacteristic
303#14579094C2311yescharacteristic
304#14579094C2311yescharacteristic
305#14579094C2311yescharacteristic
306#14579094C2311yescharacteristic
307#14579094C2311yescharacteristic
308#14579094C2311yescharacteristic
309#14579094C2311yescharacteristic
310#14579094C2311yescharacteristic
311#14579094C2311yescharacteristic
312#14579094C2311yescharacteristic
313#14579092C2311yescharacteristic
314#14579092C2311yescharacteristic
315#14579092C2311yescharacteristic
316#14579092C2311yescharacteristic
317#14579092C2311yescharacteristic
318#14579092C2311yescharacteristic
319#14579092C2311yescharacteristic
320#14579092C2311yescharacteristic
321#14579092C2311yescharacteristic
322#14579092C2311yescharacteristic
323#14579092C2311yescharacteristic
324#14579092C2311yescharacteristic
325C4⋊(C79⋊C8)C2311yescharacteristic
326C4⋊(C79⋊C8)C2311yescharacteristic
327C4⋊(C79⋊C8)C2311yescharacteristic
328C4⋊(C79⋊C8)C2311yescharacteristic
329C4⋊(C79⋊C8)C2311yescharacteristic
330C4⋊(C79⋊C8)C2311yescharacteristic
331C4⋊(C79⋊C8)C2311yescharacteristic
332C4⋊(C79⋊C8)C2311yescharacteristic
333C4⋊(C79⋊C8)C2311yescharacteristic
334C4⋊(C79⋊C8)C2311yescharacteristic
335#14579085C2311yescharacteristic
336#14579085C2311yescharacteristic
337#14579085C2311yescharacteristic
338#14579085C2311yescharacteristic
339#14579084C2311yescharacteristic
340#14579084C2311yescharacteristic
341#14579084C2311yescharacteristic
342#14579084C2311yescharacteristic
343#14579084C2311yescharacteristic
344#14579084C2311yescharacteristic
345#14579082C2311yescharacteristic
346#14579082C2311yescharacteristic
347#14579082C2311yescharacteristic
348#14579082C2311yescharacteristic
349#14579081C2311yescharacteristic
350#14579081C2311yescharacteristic
351#14579081C2311yescharacteristic
352#14579081C2311yescharacteristic
353#14579081C2311yescharacteristic
354#14579081C2311yescharacteristic
355#14579081C2311yescharacteristic
356#14579081C2311yescharacteristic
357#14579081C2311yescharacteristic
358#14579081C2311yescharacteristic
359#14579081C2311yescharacteristic
360#14579081C2311yescharacteristic
361#14579081C2311yescharacteristic
362#14579081C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366#14579081C2311yescharacteristic
367C22⋊(C79⋊C8)C2311yescharacteristic
368C22⋊(C79⋊C8)C2311yescharacteristic
369C22⋊(C79⋊C8)C2311yescharacteristic
370C22⋊(C79⋊C8)C2311yescharacteristic
371C22⋊(C79⋊C8)C2311yescharacteristic
372C22⋊(C79⋊C8)C2311yescharacteristic
373#14579072C2311yescharacteristic
374#14579072C2311yescharacteristic
375C4×C79⋊C8C2311yescharacteristic
376C4×C79⋊C8C2311yescharacteristic
377C4×C79⋊C8C2311yescharacteristic
378C4×C79⋊C8C2311yescharacteristic
379C4⋊Q8×C79—21no—
380C4⋊Q8×C79—21no—
381C4⋊Q8×C79—21no—
382C4⋊Q8×C79C2311yescharacteristic
383C4⋊Q8×C79C2311yescharacteristic
384C4⋊Q8×C79C2311yescharacteristic
385C4⋊Q8×C79C2311yescharacteristic
386#126×C79—21no—
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×C79D411yescharacteristic
396#126×C79D411yescharacteristic
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×C79C2311yescharacteristic
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×C79—21no—
414#124×C79D411yescharacteristic
415#124×C79C2311yescharacteristic
416#123×C79—21no—
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×C79D411yescharacteristic
424#123×C79D411yescharacteristic
425C22⋊Q8×C79—21no—
426C22⋊Q8×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×C79D411yescharacteristic
437C22⋊Q8×C79C2311yescharacteristic
438C22⋊Q8×C79C2311yescharacteristic
439C22⋊Q8×C79C2311yescharacteristic
440#121×C79—21no—
441#121×C79—21no—
442#121×C79—21no—
443#121×C79D411yescharacteristic
444#121×C79C2311yescharacteristic
445#121×C79C2311yescharacteristic
446#121×C79C2311yescharacteristic
447C4×Q8×C79—21no—
448C4×Q8×C79—21no—
449C4×Q8×C79—21no—
450C4×Q8×C79—21no—
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79—21no—
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464#117×C79—21no—
465#117×C79—21no—
466#117×C79—21no—
467#117×C79—21no—
468#117×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470#117×C79C2311yescharacteristic
471#117×C79C2311yescharacteristic
472#117×C79C2311yescharacteristic
473#117×C79C2311yescharacteristic
474C2×C4⋊C4×C79—21no—
475C2×C4⋊C4×C79C2311yescharacteristic
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C42×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—22no—
481#11929624—41no—
482#11929623—82no—
483C2×Dic158—21no—
484C2×Dic158C2411yescharacteristic
485C2×D316—22no—
486C2×D316—22no—
487C2×D316—21no—
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—21no—
491C2×D316—41no—
492C2×D316—41no—
493C2×D316C2411yescharacteristic
494C2×D316C2411yescharacteristic
495C2×D316C2411yescharacteristic
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501D4×D79—82no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C2×C4×D79—21no—
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—82no—
514#11929614—41no—
515#11929612—41no—
516#11929611—22no—
517#11929611—41no—
518#11929611—41no—
519#11929609—22no—
520#11929609—41no—
521#11929609—41no—
522#11929608—41no—
523#11929608—41no—
524#11929608—41no—
525#11929608—41no—
526C2×C79⋊C8—41no—
527C2×C79⋊C8—41no—
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79C2411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543Dic79⋊C4—21no—
544Dic79⋊C4—21no—
545Dic79⋊C4—21no—
546Dic79⋊C4—21no—
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551C22⋊Dic79—21no—
552C22⋊Dic79—21no—
553C22⋊Dic79—21no—
554(C2×D79)⋊C4—21no—
555(C2×D79)⋊C4—21no—
556(C2×D79)⋊C4—21no—
557(C2×D79)⋊C4—21no—
558(C2×D79)⋊C4—21no—
559(C2×D79)⋊C4—21no—
560(C2×D79)⋊C4—21no—
561(C2×D79)⋊C4—21no—
562(C2×D79)⋊C4—21no—
563(C2×D79)⋊C4—21no—
564(C2×D79)⋊C4—21no—
565(C2×D79)⋊C4—21no—
566(C2×D79)⋊C4—21no—
567(C2×D79)⋊C4—21no—
568(C2×D79)⋊C4—21no—
569(C2×D79)⋊C4—21no—
570C4×Dic79—21no—
571C4×Dic79—21no—
572C4×Dic79—21no—
573C2×Q8×C79—21no—
574C2×Q8×C79—21no—
575C2×Q8×C79—21no—
576C2×Q8×C79—21no—
577C2×Q8×C79C2×D411yescharacteristic
578C2×Q8×C79C2411yescharacteristic
579C2×D4×C79—21no—
580C2×D4×C79—21no—
581C2×D4×C79—21no—
582C2×D4×C79C2×D411yescharacteristic
583C2×D4×C79C2×D411yescharacteristic
584C2×D4×C79C2×D411yescharacteristic
585C2×D4×C79C2411yescharacteristic
586C22×C4×C79—21no—
587C22×C4×C79—21no—
588C22×C4×C79—21no—
589C22×C4×C79—21no—
590C22×C4×C79—21no—
591C22×C4×C79C2×D411yescharacteristic
592C22×C4×C79C2×D411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C4⋊C4×C79—21no—
597C4⋊C4×C79—21no—
598C4⋊C4×C79—21no—
599C4⋊C4×C79—21no—
600C4⋊C4×C79—21no—
601C4⋊C4×C79—21no—
602C4⋊C4×C79—21no—
603C4⋊C4×C79—21no—
604C4⋊C4×C79—21no—
605C4⋊C4×C79—21no—
606C4⋊C4×C79—21no—
607C4⋊C4×C79—21no—
608C4⋊C4×C79—21no—
609C4⋊C4×C79—21no—
610C4⋊C4×C79—21no—
611C4⋊C4×C79—21no—
612C4⋊C4×C79—21no—
613C4⋊C4×C79—21no—
614C4⋊C4×C79—21no—
615C4⋊C4×C79—21no—
616C4⋊C4×C79—21no—
617C4⋊C4×C79—21no—
618C4⋊C4×C79C2×D411yescharacteristic
619C4⋊C4×C79C2×D411yescharacteristic
620C4⋊C4×C79C2×D411yescharacteristic
621C4⋊C4×C79C2×D411yescharacteristic
622C4⋊C4×C79C2×D411yescharacteristic
623C4⋊C4×C79C2×D411yescharacteristic
624C4⋊C4×C79C2×D411yescharacteristic
625C4⋊C4×C79C2×D411yescharacteristic
626C4⋊C4×C79C2×D411yescharacteristic
627C4⋊C4×C79C2×D411yescharacteristic
628C4⋊C4×C79C2411yescharacteristic
629C4⋊C4×C79C2411yescharacteristic
630C4⋊C4×C79C2411yescharacteristic
631C4⋊C4×C79C2411yescharacteristic
632C4⋊C4×C79C2411yescharacteristic
633C4⋊C4×C79C2411yescharacteristic
634C22⋊C4×C79—21no—
635C22⋊C4×C79—21no—
636C22⋊C4×C79—21no—
637C22⋊C4×C79—21no—
638C22⋊C4×C79—21no—
639C22⋊C4×C79—21no—
640C22⋊C4×C79—21no—
641C22⋊C4×C79—21no—
642C22⋊C4×C79—21no—
643C22⋊C4×C79—21no—
644C22⋊C4×C79—21no—
645C22⋊C4×C79—21no—
646C22⋊C4×C79—21no—
647C22⋊C4×C79—21no—
648C22⋊C4×C79—21no—
649C22⋊C4×C79C2×D411yescharacteristic
650C22⋊C4×C79C2×D411yescharacteristic
651C22⋊C4×C79C2×D411yescharacteristic
652C22⋊C4×C79C2×D411yescharacteristic
653C22⋊C4×C79C2×D411yescharacteristic
654C22⋊C4×C79C2×D411yescharacteristic
655C22⋊C4×C79C2×D411yescharacteristic
656C22⋊C4×C79C2×D411yescharacteristic
657C22⋊C4×C79C2×D411yescharacteristic
658C22⋊C4×C79C2×D411yescharacteristic
659C42×C79—21no—
660C42×C79—21no—
661C42×C79—21no—
662C42×C79—21no—
663C42×C79—21no—
664C42×C79—21no—
665C42×C79—21no—
666C42×C79C2×D411yescharacteristic
667C42×C79C2×D411yescharacteristic
668C42×C79C2411yescharacteristic
669C42×C79C2411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79C22×D411yescharacteristic
674C23×C79C22×D411yescharacteristic
675C23×C79C22×D411yescharacteristic
676C22×D79—21no—
677C22×D79—21no—
678C22×D79—21no—
679C22×D79—42no—
680C22×D79—42no—
681C22×D79—42no—
682C22×D79—81no—
683C22×D79—81no—
684C22×D79—81no—
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—41no—
688Q8×C79—81no—
689Q8×C79—81no—
690Q8×C79—81no—
691Q8×C79—81no—
692D4×C79—21no—
693D4×C79—21no—
694D4×C79—41no—
695D4×C79—41no—
696D4×C79—41no—
697D4×C79—81no—
698D4×C79—81no—
699D4×C79—81no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—41no—
714C2×C4×C79—41no—
715C2×C4×C79—81no—
716C2×C4×C79—81no—
717C2×C4×C79—81no—
718C2×C4×C79—81no—
719C2×C4×C79—81no—
720C2×C4×C79C22×D411yescharacteristic
721C2×C4×C79C22×D411yescharacteristic
722C2×C4×C79C22×D411yescharacteristic
723C2×C4×C79C22×D411yescharacteristic
724C2×C4×C79C22×D411yescharacteristic
725C2×C4×C79C22×D411yescharacteristic
726C2×C4×C79C22×D411yescharacteristic
727C2×C4×C79C22×D411yescharacteristic
728C2×C4×C79C22×D411yescharacteristic
729C2×C4×C79C22×D411yescharacteristic
730C2×C4×C79C22×D411yescharacteristic
731C2×C4×C79C2511yescharacteristic
732C22⋊D79—42no—
733C22⋊D79—42no—
734C22⋊D79—81no—
735C22⋊D79—81no—
736C22⋊D79—81no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—42no—
743C2×Dic79—81no—
744D316—21no—
745D316—21no—
746D316—21no—
747D316—21no—
748D316—21no—
749D316—42no—
750D316—42no—
751D316—81no—
752D316—81no—
753D3162−1+412yes—
754C4×D79—42no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760C4×D79—81no—
761C4×D79—81no—
762C4×D79—81no—
763Dic158—21no—
764Dic158—21no—
765Dic158—81no—
766C79⋊C8—21no—
767C79⋊C8—21no—
768C79⋊C8—21no—
769C79⋊C8—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—21no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—21no—
782C22×C79—21no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79C23×D411yescharacteristic
787C2×D79—22no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—21no—
804C4×C79—21no—
805C4×C79—21no—
806C4×C79—21no—
807C4×C79—21no—
808C4×C79—21no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816C4×C79C2×2−1+411yescharacteristic
817C4×C79#58511yescharacteristic
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—41no—
826C2×C79—41no—
827C2×C79—81no—
828C2×C79#348911yescharacteristic
829C2×C79#358411yescharacteristic
830C2×C79#358511yescharacteristic
831D79—42no—
832D79—81no—
833D79—81no—
834#3565D7911yescharacteristic, complemented
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—21no—
867#562—21no—
868#559—791no—
869#557C2×D7911yescharacteristic, complemented
870#556—21no—
871#556C2×D7911yescharacteristic
872#555C2×D7911yescharacteristic, complemented
873#554—791no—
874#554C2×D7911yescharacteristic, complemented
875#553—791no—
876#553—1581no—
877#553C2×D7911yescharacteristic
878#553C2×D7911yescharacteristic, complemented
879#552—21no—
880#552—791no—
881#552C2×D7911yescharacteristic, complemented
882#552C2×D7911yescharacteristic, complemented
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544C2×D7911yescharacteristic, complemented
891#544C2×D7911yescharacteristic, complemented
892#542—21no—
893#542—21no—
894#542—791no—
895#542C2×D7911yescharacteristic, complemented
896#542C2×D7911yescharacteristic, complemented
897#541—21no—
898#540—791no—
899#539—21no—
900#539—1581no—
901#538—1581no—
902#533C2×D7911yescharacteristic, complemented
903#529—791no—
904#529C2×D7911yescharacteristic
905#529C2×D7911yescharacteristic, complemented
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16—791no—
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8—791no—
1061C4⋊Q8C22×D7911yescharacteristic
1062C4⋊Q8C22×D7911yescharacteristic
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126C22⋊D7911yescharacteristic
1080#126C22⋊D7911yescharacteristic
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—791no—
1088#125—791no—
1089#125—1581no—
1090#125C22⋊D7911yescharacteristic
1091#125C22×D7911yescharacteristic
1092#125C22×D7911yescharacteristic
1093#125C22×D7911yescharacteristic
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—791no—
1102#124—791no—
1103#124—1581no—
1104#124—1581no—
1105#124C22⋊D7911yescharacteristic
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123C22⋊D7911yescharacteristic
1127#123C22⋊D7911yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—791no—
1140C22⋊Q8—791no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8C22⋊D7911yescharacteristic
1147C22⋊Q8C22×D7911yescharacteristic
1148C22⋊Q8C22×D7911yescharacteristic
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121C22⋊D7911yescharacteristic
1164#121C22×D7911yescharacteristic
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8C22×D7911yescharacteristic
1178C4×Q8C22×D7911yescharacteristic
1179C4×Q8C22×D7911yescharacteristic
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—1581no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4C22×D7911yescharacteristic
1202C4×D4C22×D7911yescharacteristic
1203C4×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—791no—
1212#117—1581no—
1213#117—1581no—
1214#117—1581no—
1215#117C22×D7911yescharacteristic
1216#117C22×D7911yescharacteristic
1217#117C22×D7911yescharacteristic
1218#117C22×D7911yescharacteristic
1219#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4C22×D7911yescharacteristic
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42C22×D7911yescharacteristic
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107—791no—
1245#107—791no—
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106—791no—
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8—791no—
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103—791no—
1277#103—791no—
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
1296#102—791no—
1297#102—791no—
1298#102—791no—
1299#102—791no—
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—791no—
1322C2×Q8—1581no—
1323C2×Q8C2×C22⋊D7911yescharacteristic
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—3161no—
1329C2×D4—3161no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—6322no—
1334C2×D4—1582no—
1335C2×D4—1582no—
1336C2×D4—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4C2×C22⋊D7911yescharacteristic
1346C2×D4C2×C22⋊D7911yescharacteristic
1347C2×D4C2×C22⋊D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—6322no—
1355C22×C4—1581no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4C2×C22⋊D7911yescharacteristic
1367C22×C4C2×C22⋊D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8—791no—
1390C2×C8—791no—
1391C2×C8—791no—
1392C2×C8—791no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—791no—
1416C4⋊C4—791no—
1417C4⋊C4—791no—
1418C4⋊C4—791no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4C2×C22⋊D7911yescharacteristic
1431C4⋊C4C2×C22⋊D7911yescharacteristic
1432C4⋊C4C2×C22⋊D7911yescharacteristic
1433C4⋊C4C2×C22⋊D7911yescharacteristic
1434C4⋊C4C2×C22⋊D7911yescharacteristic
1435C4⋊C4C2×C22⋊D7911yescharacteristic
1436C4⋊C4C2×C22⋊D7911yescharacteristic
1437C4⋊C4C2×C22⋊D7911yescharacteristic
1438C4⋊C4C2×C22⋊D7911yescharacteristic
1439C4⋊C4C2×C22⋊D7911yescharacteristic
1440C4⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4C2×C22⋊D7911yescharacteristic
1481C22⋊C4C2×C22⋊D7911yescharacteristic
1482C22⋊C4C2×C22⋊D7911yescharacteristic
1483C22⋊C4C2×C22⋊D7911yescharacteristic
1484C22⋊C4C2×C22⋊D7911yescharacteristic
1485C22⋊C4C2×C22⋊D7911yescharacteristic
1486C22⋊C4C2×C22⋊D7911yescharacteristic
1487C22⋊C4C2×C22⋊D7911yescharacteristic
1488C22⋊C4C2×C22⋊D7911yescharacteristic
1489C22⋊C4C2×C22⋊D7911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42C2×C22⋊D7911yescharacteristic
1501C42C2×C22⋊D7911yescharacteristic
1502C42C23×D7911yescharacteristic
1503C42C23×D7911yescharacteristic
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—3162no—
1508C23—3162no—
1509C23—3162no—
1510C23—6321no—
1511C23—6321no—
1512C23—6321no—
1513C23—1581no—
1514C23—1581no—
1515C23—1581no—
1516C23C22×C22⋊D7911yescharacteristic
1517C23C22×C22⋊D7911yescharacteristic
1518C23C22×C22⋊D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—81no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—3162no—
1538D4—3162no—
1539D4—3162no—
1540D4—3162no—
1541D4—792no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
1551D4—1581no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—3162no—
1573C2×C4—3162no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4C22×C22⋊D7911yescharacteristic
1589C2×C4C22×C22⋊D7911yescharacteristic
1590C2×C4C22×C22⋊D7911yescharacteristic
1591C2×C4C22×C22⋊D7911yescharacteristic
1592C2×C4C22×C22⋊D7911yescharacteristic
1593C2×C4C22×C22⋊D7911yescharacteristic
1594C2×C4C22×C22⋊D7911yescharacteristic
1595C2×C4C22×C22⋊D7911yescharacteristic
1596C2×C4C22×C22⋊D7911yescharacteristic
1597C2×C4C22×C22⋊D7911yescharacteristic
1598C2×C4C22×C22⋊D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—1581no—
1601C8—1581no—
1602C8—1581no—
1603C8—1581no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—3161no—
1628C22—6324no—
1629C22—1582no—
1630C22—12642no—
1631C22C23×C22⋊D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909940011yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—81no—
1661C2—3162no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707311yescharacteristic
1665C2#2377817111yescharacteristic
1666C2#2377817911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3565C2
socleC22×C79C23×D4
hypercenter#3565D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #529 ◁ #3565

Complements

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

NH ≅ G/Ntype
1. #23777344C2semidirect
2. #23776354C2semidirect
3. #23776271C2semidirect
4. #23776168C2semidirect
5. #23776060C2semidirect
6. #23775989C2semidirect
7. #23775960C2semidirect
8. #23775954C2semidirect
9. #23775924C2semidirect
10. #23775840C2semidirect
11. #23775796C2semidirect
12. #23775625C2semidirect
13. #23775610C2semidirect
14. #23775595C2semidirect
15. #23775550C2semidirect
16. #23775535C2semidirect
17. #23775229C2semidirect
18. #23774856C2semidirect
19. #23774811C2semidirect
20. #23774796C2semidirect
21. #23774698C2semidirect
22. #23774653C2semidirect
23. #23774579C2semidirect
24. #23773671C2semidirect
25. #23773578C2semidirect
26. #23773443C2semidirect
27. #23773247C2semidirect
28. #23773225C2semidirect
29. #23773193C2semidirect
30. #23772549C2semidirect
31. C79×#3565C2semidirect
54. #19098973C22semidirect
55. #19098969C22semidirect
56. #19098962C22semidirect
57. #19098962C22semidirect
58. #19098962C22semidirect
59. #19098959C22semidirect
61. #19098925C22semidirect
62. #19098920C22semidirect
63. #19098920C22semidirect
64. #19098920C22semidirect
66. #19098904C22semidirect
67. #19098904C22semidirect
68. #19098904C22semidirect
69. #19098901C22semidirect
70. #19098896C22semidirect
71. #19098893C22semidirect
72. #19098891C22semidirect
76. #19098887C22semidirect
77. #19098887C22semidirect
78. #19098884C22semidirect
80. #19098881C22semidirect
81. #19098879C22semidirect
82. #19098879C22semidirect
83. #19098876C22semidirect
84. #19098870C22semidirect
85. #19098870C22semidirect
86. #19098867C22semidirect
87. #19098867C22semidirect
88. #19098863C22semidirect
89. #19098863C22semidirect
95. #19098860C22semidirect
96. #19098860C22semidirect
97. #19098860C22semidirect
98. #19098860C22semidirect
99. #19098860C22semidirect
100. #19098858C22semidirect
101. #19098855C22semidirect
102. #19098855C22semidirect
104. #19098850C22semidirect
105. #19098850C22semidirect
106. #19098850C22semidirect
107. #19098845C22semidirect
108. #19098843C22semidirect
112. #19098840C22semidirect
113. #19098840C22semidirect
114. #19098819C22semidirect
116. #19098814C22semidirect
119. #19098811C22semidirect
120. #19098807C22semidirect
121. #19098807C22semidirect
122. #19098802C22semidirect
124. #19098797C22semidirect
125. #19098794C22semidirect
126. #19098785C22semidirect
127. #19098785C22semidirect
128. #19098782C22semidirect
129. #19098778C22semidirect
130. #19098778C22semidirect
132. #19098775C22semidirect
133. #19098775C22semidirect
142. #19098694C22semidirect
143. Q8×C79⋊C8C22semidirect
146. #19098668C22semidirect
147. #19098661C22semidirect
151. C4×#11929611C22semidirect
152. C4×#11929612C22semidirect
154. C4×#11929609C22semidirect
155. C4×#11929609C22semidirect
157. #19098641C22semidirect
158. #19098641C22semidirect
160. #19098635C22semidirect
161. D4×C79⋊C8C22semidirect
162. #19098624C22semidirect
163. #19098624C22semidirect
164. #19098616C22semidirect
165. #19098606C22semidirect
166. #19098606C22semidirect
167. #19098606C22semidirect
168. #19098603C22semidirect
169. #19098599C22semidirect
170. C2×#14579094C22semidirect
171. #19098590C22semidirect
172. #19098590C22semidirect
173. #19098587C22semidirect
182. #557×C79C22semidirect
185. #555×C79C22semidirect
186. #554×C79C22semidirect
188. #553×C79C22semidirect
190. #552×C79C22semidirect
191. #552×C79C22semidirect
192. #544×C79C22semidirect
193. #544×C79C22semidirect
196. #542×C79C22semidirect
197. #542×C79C22semidirect
200. #533×C79C22semidirect
202. #529×C79C22semidirect
834. #3565D79semidirect
865. C79#62175semidirect
869. #557C2×D79semidirect
872. #555C2×D79semidirect
874. #554C2×D79semidirect
878. #553C2×D79semidirect
881. #552C2×D79semidirect
882. #552C2×D79semidirect
890. #544C2×D79semidirect
891. #544C2×D79semidirect
895. #542C2×D79semidirect
896. #542C2×D79semidirect
902. #533C2×D79semidirect
905. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773442
#237763542
#237762712
#237761682
#237760602
#237759892
#237759602
#237759542
#237759242
#237758402
#237757962
#237756252
#237756102
#237755952
#237755502
#237755352
#237752292
#237748562
#237748112
#237747962
#237746982
#237746532
#237745792
#237736712
#237735782
#237734432
#237732472
#237732252
#237731932
#237725492
C79×#35652
#6217579