Finite Group Databasebeta

← #35173899

Subgroups — #35173899

Order 20224.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777047C211yesmaximal, characteristic, complemented
2#23775677C211yesmaximal, characteristic, complemented
3#23775662C211yesmaximal, characteristic, complemented
4#23775565C211yesmaximal, characteristic, complemented
5#23775505C211yesmaximal, characteristic, complemented
6#23775460C211yesmaximal, characteristic, complemented
7#23775445C211yesmaximal, characteristic, complemented
8#23775296C211yesmaximal, characteristic, complemented
9#23775270C211yesmaximal, characteristic, complemented
10D4×#11929614C211yesmaximal, characteristic, complemented
11#23775137C211yesmaximal, characteristic, complemented
12#23775053C211yesmaximal, characteristic, complemented
13#23775042C211yesmaximal, characteristic, complemented
14#23774971C211yesmaximal, characteristic, complemented
15#23774966C211yesmaximal, characteristic, complemented
16#23774966C211yesmaximal, characteristic, complemented
17#23774951C211yesmaximal, characteristic, complemented
18#23774503C211yesmaximal, characteristic, complemented
19#23774477C211yesmaximal, characteristic, complemented
20#23774291C211yesmaximal, characteristic, complemented
21#23774276C211yesmaximal, characteristic, complemented
22#23774230C211yesmaximal, characteristic, complemented
23#23774188C211yesmaximal, characteristic, complemented
24#23773695C211yesmaximal, characteristic, complemented
25#23773623C211yesmaximal, characteristic, complemented
26#23772712C211yesmaximal, characteristic, complemented
27#23772693C211yesmaximal, characteristic, complemented
28#23772633C211yesmaximal, characteristic, complemented
29C2×#19098718C211yesmaximal, characteristic, complemented
30#23772448C211yesmaximal, characteristic, complemented
31C79×#3541C211yesmaximal, characteristic, complemented
32C2×#14579208C2211yescharacteristic
33C23×Dic158C2211yescharacteristic
34C2×#14579192C2211yescharacteristic, complemented
35C2×#14579191C2211yescharacteristic
36C2×#14579191C2211yescharacteristic
37C2×#14579191C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39C22×#11929614C2211yescharacteristic
40C22×#11929614C2211yescharacteristic
41C22×#11929614C2211yescharacteristic, complemented
42D4×Dic158C2211yescharacteristic
43D4×Dic158C2211yescharacteristic
44D4×Dic158C2211yescharacteristic
45D4×Dic158C2211yescharacteristic
46#19099226—21no—
47#19099226—21no—
48#19099222C2211yescharacteristic
49#19099222C2211yescharacteristic
50#19099222C2211yescharacteristic
51#19099222C2211yescharacteristic
52#19099219—21no—
53#19099219—21no—
54#19099139C2211yescharacteristic
55#19099135—21no—
56#19099135—21no—
57#19099134C2211yescharacteristic
58#19099074C2211yescharacteristic
59#19099069—21no—
60#19099069—21no—
61#19099040C2211yescharacteristic
62#19098958C2211yescharacteristic, complemented
63#19098955C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098942C2211yescharacteristic, complemented
66#19098933C2211yescharacteristic, complemented
67#19098925C2211yescharacteristic, complemented
68#19098920C2211yescharacteristic, complemented
69#19098915C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic
71#19098904C2211yescharacteristic, complemented
72#19098904C2211yescharacteristic, complemented
73#19098901C2211yescharacteristic
74#19098901C2211yescharacteristic
75#19098901C2211yescharacteristic
76#19098898C2211yescharacteristic
77#19098898C2211yescharacteristic, complemented
78#19098893C2211yescharacteristic, complemented
79#19098887C2211yescharacteristic
80#19098884C2211yescharacteristic
81#19098881C2211yescharacteristic
82#19098867C2211yescharacteristic, complemented
83#19098867C2211yescharacteristic, complemented
84#19098855C2211yescharacteristic, complemented
85#19098845C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic
87#19098819C2211yescharacteristic
88#19098819C2211yescharacteristic, complemented
89#19098819C2211yescharacteristic, complemented
90#19098819C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic
92#19098811C2211yescharacteristic
93#19098807C2211yescharacteristic, complemented
94#19098802C2211yescharacteristic
95#19098802C2211yescharacteristic, complemented
96#19098802C2211yescharacteristic, complemented
97#19098802C2211yescharacteristic, complemented
98#19098797C2211yescharacteristic
99#19098794C2211yescharacteristic
100#19098790C2211yescharacteristic
101#19098790C2211yescharacteristic, complemented
102#19098785C2211yescharacteristic, complemented
103#19098785C2211yescharacteristic, complemented
104#19098785C2211yescharacteristic, complemented
105#19098782C2211yescharacteristic, complemented
106#19098782C2211yescharacteristic, complemented
107#19098778C2211yescharacteristic, complemented
108#19098773C2211yescharacteristic, complemented
109#19098773C2211yescharacteristic, complemented
110#19098773C2211yescharacteristic, complemented
111#19098770C2211yescharacteristic, complemented
112#19098770C2211yescharacteristic, complemented
113#19098768C2211yescharacteristic, complemented
114#19098725C2211yescharacteristic
115#19098725C2211yescharacteristic, complemented
116#19098725C2211yescharacteristic, complemented
117#19098723C2211yescharacteristic
118#19098723C2211yescharacteristic
119#19098723C2211yescharacteristic
120#19098723C2211yescharacteristic, complemented
121#19098723C2211yescharacteristic, complemented
122#19098723C2211yescharacteristic, complemented
123#19098719C2211yescharacteristic
124#19098719C2211yescharacteristic, complemented
125#19098719C2211yescharacteristic, complemented
126#19098718C2211yescharacteristic
127#19098718C2211yescharacteristic
128#19098718C2211yescharacteristic
129#19098718C2211yescharacteristic
130#19098718C2211yescharacteristic
131#19098718C2211yescharacteristic
132#19098718C2211yescharacteristic
133#19098718C2211yescharacteristic
134#19098718C2211yescharacteristic
135#19098718C2211yescharacteristic
136#19098718C2211yescharacteristic
137#19098718C2211yescharacteristic
138#19098718C2211yescharacteristic, complemented
139#19098718C2211yescharacteristic, complemented
140#19098718C2211yescharacteristic, complemented
141#19098708C2211yescharacteristic
142#19098706C2211yescharacteristic
143#19098706C2211yescharacteristic, complemented
144#19098702C2211yescharacteristic
145#19098701C2211yescharacteristic
146#19098701C2211yescharacteristic
147#19098701C2211yescharacteristic
148#19098701C2211yescharacteristic
149#19098701C2211yescharacteristic, complemented
150#19098668C2211yescharacteristic, complemented
151#19098668C2211yescharacteristic, complemented
152#19098668C2211yescharacteristic, complemented
153#19098663C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929614C2211yescharacteristic, complemented
156C4×#11929614C2211yescharacteristic, complemented
157C4×#11929612C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic
159#19098641C2211yescharacteristic
160#19098635C2211yescharacteristic
161#19098635C2211yescharacteristic
162#19098635C2211yescharacteristic
163#19098635C2211yescharacteristic
164D4×C79⋊C8C2211yescharacteristic
165D4×C79⋊C8C2211yescharacteristic
166#19098624C2211yescharacteristic
167#19098624C2211yescharacteristic
168#19098571C2211yescharacteristic
169#19098571C2211yescharacteristic
170#19098571C2211yescharacteristic, complemented
171#19098562C2211yescharacteristic, complemented
172#19098557C2211yescharacteristic, complemented
173C2×#14579084C2211yescharacteristic
174C2×#14579084C2211yescharacteristic
175C2×#14579084C2211yescharacteristic, complemented
176#19098530C2211yescharacteristic
177#19098530C2211yescharacteristic
178#19098527C2211yescharacteristic
179C2×C22⋊(C79⋊C8)C2211yescharacteristic
180#563×C79—21no—
181#562×C79—21no—
182#556×C79C2211yescharacteristic
183#554×C79—21no—
184#554×C79C2211yescharacteristic
185#553×C79—21no—
186#553×C79C2211yescharacteristic
187#552×C79C2211yescharacteristic
188D4×Q8×C79C2211yescharacteristic
189#548×C79C2211yescharacteristic
190#548×C79C2211yescharacteristic
191#547×C79C2211yescharacteristic
192#542×C79—21no—
193#542×C79C2211yescharacteristic
194#541×C79C2211yescharacteristic
195#539×C79—21no—
196#538×C79—21no—
197#538×C79—21no—
198#537×C79C2211yescharacteristic
199#536×C79C2211yescharacteristic
200#525×C79C2211yescharacteristic
201#525×C79C2211yescharacteristic
202C2×C22⋊Q8×C79C2211yescharacteristic
203#14579208—42no—
204#14579208—42no—
205C2×#11929624C2311yescharacteristic
206C2×#11929624C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623—21no—
210C2×#11929623—21no—
211C22×Dic158—21no—
212C22×Dic158—21no—
213C22×Dic158—21no—
214C22×Dic158—42no—
215C22×Dic158—42no—
216C22×Dic158C2311yescharacteristic
217C22×Dic158C2311yescharacteristic
218C22×Dic158C2311yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×Dic158C2311yescharacteristic
222C22×Dic158C2311yescharacteristic
223C22×Dic158C2311yescharacteristic
224C2×Q8×D79—21no—
225C23×Dic79—21no—
226#14579192—42no—
227#14579191—42no—
228#14579191—42no—
229#14579191—42no—
230#14579181—42no—
231C2×#11929614—42no—
232C2×#11929614—42no—
233C2×#11929614—42no—
234C2×#11929614C2311yescharacteristic
235C2×#11929614C2311yescharacteristic
236C2×#11929614C2311yescharacteristic
237C2×#11929614C2311yescharacteristic
238C2×#11929614C2311yescharacteristic
239C2×#11929614C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929614C2311yescharacteristic
244C2×#11929614C2311yescharacteristic
245C2×#11929614C2311yescharacteristic
246C2×#11929614C2311yescharacteristic
247C2×#11929614C2311yescharacteristic
248C2×#11929614C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929612C2311yescharacteristic
251C2×#11929612C2311yescharacteristic
252C2×#11929612C2311yescharacteristic
253C2×#11929612C2311yescharacteristic
254C2×#11929611C2311yescharacteristic
255C2×#11929611C2311yescharacteristic
256C2×#11929611C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929608C2311yescharacteristic
259C2×#11929608C2311yescharacteristic
260C2×#11929608C2311yescharacteristic
261C2×#11929608C2311yescharacteristic
262C22×C79⋊C8C2311yescharacteristic
263C22×C79⋊C8C2311yescharacteristic
264C22×C79⋊C8C2311yescharacteristic
265C22×C79⋊C8C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579160—21no—
269#14579160—21no—
270#14579160—21no—
271#14579160—21no—
272#14579159—21no—
273#14579149C2311yescharacteristic
274#14579149C2311yescharacteristic
275#14579148—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579145—21no—
281#14579145—21no—
282#14579144—21no—
283#14579142—21no—
284#14579142—21no—
285#14579141—21no—
286#14579141—21no—
287#14579140C2311yescharacteristic
288#14579140C2311yescharacteristic
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579139—21no—
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579135C2311yescharacteristic
306#14579135C2311yescharacteristic
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579130—21no—
312C4×Dic158C2311yescharacteristic
313C4×Dic158C2311yescharacteristic
314C4×Dic158C2311yescharacteristic
315C4×Dic158C2311yescharacteristic
316#14579126—21no—
317#14579126—21no—
318D4×Dic79—21no—
319D4×Dic79—21no—
320D4×Dic79—21no—
321D4×Dic79—21no—
322C4×C22⋊D79—21no—
323C4×C22⋊D79—21no—
324(C22⋊D79)⋊C4—21no—
325(C22⋊D79)⋊C4—21no—
326(C22⋊D79)⋊C4—21no—
327(C22⋊D79)⋊C4—21no—
328#14579120C2311yescharacteristic
329#14579117—21no—
330#14579117—21no—
331#14579094C2311yescharacteristic
332#14579094C2311yescharacteristic
333#14579094C2311yescharacteristic
334#14579094C2311yescharacteristic
335#14579092C2311yescharacteristic
336#14579092C2311yescharacteristic
337#14579092C2311yescharacteristic
338#14579092C2311yescharacteristic
339C4⋊(C79⋊C8)C2311yescharacteristic
340C4⋊(C79⋊C8)C2311yescharacteristic
341C4⋊(C79⋊C8)C2311yescharacteristic
342C4⋊(C79⋊C8)C2311yescharacteristic
343#14579085C2311yescharacteristic
344#14579085C2311yescharacteristic
345#14579085C2311yescharacteristic
346#14579085C2311yescharacteristic
347#14579085C2311yescharacteristic
348#14579085C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579084C2311yescharacteristic
351#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579084C2311yescharacteristic
354#14579084C2311yescharacteristic
355#14579084C2311yescharacteristic
356#14579084C2311yescharacteristic
357#14579084C2311yescharacteristic
358#14579084C2311yescharacteristic
359#14579084C2311yescharacteristic
360#14579084C2311yescharacteristic
361#14579084C2311yescharacteristic
362#14579084C2311yescharacteristic
363#14579084C2311yescharacteristic
364#14579084C2311yescharacteristic
365#14579084C2311yescharacteristic
366#14579084C2311yescharacteristic
367#14579084C2311yescharacteristic
368#14579084C2311yescharacteristic
369#14579082C2311yescharacteristic
370#14579082C2311yescharacteristic
371#14579081C2311yescharacteristic
372#14579081C2311yescharacteristic
373#14579081C2311yescharacteristic
374#14579081C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379C22⋊(C79⋊C8)C2311yescharacteristic
380C22⋊(C79⋊C8)C2311yescharacteristic
381C22⋊(C79⋊C8)C2311yescharacteristic
382C22⋊(C79⋊C8)C2311yescharacteristic
383C22⋊(C79⋊C8)C2311yescharacteristic
384C22⋊(C79⋊C8)C2311yescharacteristic
385C22⋊(C79⋊C8)C2311yescharacteristic
386C22⋊(C79⋊C8)C2311yescharacteristic
387#14579072C2311yescharacteristic
388#14579072C2311yescharacteristic
389C4×C79⋊C8C2311yescharacteristic
390C4×C79⋊C8C2311yescharacteristic
391C2×#41×C79C2311yescharacteristic
392C2×#41×C79C2311yescharacteristic
393C2×#41×C79C2311yescharacteristic
394C22×Q8×C79C2311yescharacteristic
395C22×Q8×C79C2311yescharacteristic
396C23×C4×C79C2311yescharacteristic
397C4⋊Q8×C79—21no—
398C4⋊Q8×C79—21no—
399C4⋊Q8×C79C2311yescharacteristic
400C4⋊Q8×C79C2311yescharacteristic
401#126×C79—21no—
402#126×C79—21no—
403#126×C79—21no—
404#126×C79—21no—
405#126×C79—21no—
406#126×C79—21no—
407#126×C79—21no—
408#125×C79—21no—
409#125×C79—21no—
410#125×C79—21no—
411#125×C79—21no—
412#125×C79C2311yescharacteristic
413#124×C79—21no—
414#124×C79—21no—
415#124×C79—21no—
416#124×C79—21no—
417#124×C79—21no—
418#124×C79C2311yescharacteristic
419#123×C79—21no—
420#123×C79—21no—
421#123×C79—21no—
422#123×C79—21no—
423#123×C79—21no—
424#123×C79—21no—
425#123×C79—21no—
426#123×C79—21no—
427#123×C79D411yescharacteristic
428#123×C79D411yescharacteristic
429C22⋊Q8×C79—21no—
430C22⋊Q8×C79—21no—
431C22⋊Q8×C79—21no—
432C22⋊Q8×C79—21no—
433C22⋊Q8×C79—21no—
434C22⋊Q8×C79—21no—
435C22⋊Q8×C79—21no—
436C22⋊Q8×C79—21no—
437C22⋊Q8×C79—21no—
438C22⋊Q8×C79—21no—
439C22⋊Q8×C79D411yescharacteristic
440C22⋊Q8×C79D411yescharacteristic
441C22⋊Q8×C79C2311yescharacteristic
442C22⋊Q8×C79C2311yescharacteristic
443C22⋊Q8×C79C2311yescharacteristic
444C22⋊Q8×C79C2311yescharacteristic
445C22⋊Q8×C79C2311yescharacteristic
446C22⋊Q8×C79C2311yescharacteristic
447C22⋊Q8×C79C2311yescharacteristic
448C22⋊Q8×C79C2311yescharacteristic
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79—21no—
451#121×C79—21no—
452#121×C79—21no—
453#121×C79—21no—
454#121×C79—21no—
455#121×C79—21no—
456#121×C79—21no—
457#121×C79D411yescharacteristic
458#121×C79D411yescharacteristic
459#121×C79C2311yescharacteristic
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#120×C79—21no—
463#120×C79D411yescharacteristic
464#120×C79D411yescharacteristic
465C4×Q8×C79—21no—
466C4×Q8×C79C2311yescharacteristic
467C4×Q8×C79C2311yescharacteristic
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79—21no—
471C4×D4×C79—21no—
472C4×D4×C79—21no—
473C4×D4×C79—21no—
474C4×D4×C79—21no—
475C4×D4×C79—21no—
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479C4×D4×C79C2311yescharacteristic
480C4×D4×C79C2311yescharacteristic
481#117×C79—21no—
482#117×C79C2311yescharacteristic
483#117×C79C2311yescharacteristic
484#117×C79C2311yescharacteristic
485C2×C4⋊C4×C79—21no—
486C2×C4⋊C4×C79—21no—
487C2×C4⋊C4×C79C2311yescharacteristic
488C2×C4⋊C4×C79C2311yescharacteristic
489C2×C22⋊C4×C79—21no—
490#11929624—22no—
491#11929624—22no—
492#11929624—41no—
493#11929624—41no—
494#11929624—41no—
495#11929624—41no—
496#11929623—44no—
497#11929623—44no—
498#11929623—44no—
499C2×Dic158—22no—
500C2×Dic158—22no—
501C2×Dic158—22no—
502C2×Dic158—22no—
503C2×Dic158—22no—
504C2×Dic158—22no—
505C2×Dic158—22no—
506C2×Dic158—22no—
507C2×Dic158—21no—
508C2×Dic158—21no—
509C2×Dic158—21no—
510C2×Dic158—21no—
511C2×Dic158—21no—
512C2×Dic158—21no—
513C2×Dic158—21no—
514C2×Dic158—21no—
515C2×Dic158—41no—
516C2×Dic158—41no—
517C2×Dic158—41no—
518C2×Dic158—41no—
519C2×Dic158—41no—
520C2×Dic158—41no—
521C2×Dic158—41no—
522C2×Dic158—41no—
523C2×Dic158—44no—
524C2×Dic158—44no—
525C2×Dic158—44no—
526C2×Dic158C2411yescharacteristic
527C2×Dic158C2411yescharacteristic
528C2×Dic158C2411yescharacteristic
529C2×Dic158C2411yescharacteristic
530C2×Dic158C2411yescharacteristic
531Q8×D79—44no—
532C2×D316C2411yescharacteristic
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—44no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550#11929614—22no—
551#11929614—22no—
552#11929614—22no—
553#11929614—22no—
554#11929614—22no—
555#11929614—22no—
556#11929614—41no—
557#11929614—41no—
558#11929614—41no—
559#11929614—41no—
560#11929614—41no—
561#11929614—41no—
562#11929614—41no—
563#11929614—41no—
564#11929614—41no—
565#11929612—22no—
566#11929612—22no—
567#11929612—41no—
568#11929612—41no—
569#11929612—41no—
570#11929611—41no—
571#11929611—41no—
572#11929611—41no—
573#11929609—41no—
574#11929608—41no—
575#11929608—41no—
576#11929608—41no—
577#11929608—41no—
578C2×C79⋊C8—41no—
579C2×C79⋊C8—41no—
580C2×C79⋊C8—41no—
581C2×C79⋊C8—41no—
582C2×C79⋊C8C2411yescharacteristic
583C2×C79⋊C8C2411yescharacteristic
584C2×C79⋊C8C2411yescharacteristic
585C2×C79⋊C8C2411yescharacteristic
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C2×C79⋊C8C2411yescharacteristic
589C2×C79⋊C8C2411yescharacteristic
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79—21no—
594C4⋊Dic79C2411yescharacteristic
595C4⋊Dic79C2411yescharacteristic
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C24×C79C2×D411yescharacteristic
625#41×C79—41no—
626#41×C79—41no—
627#41×C79—41no—
628#41×C79—41no—
629#41×C79—41no—
630#41×C79—41no—
631C2×Q8×C79—21no—
632C2×Q8×C79—21no—
633C2×Q8×C79—21no—
634C2×Q8×C79—41no—
635C2×Q8×C79—41no—
636C2×Q8×C79—41no—
637C2×Q8×C79—41no—
638C2×Q8×C79C2×D411yescharacteristic
639C2×Q8×C79C2411yescharacteristic
640C2×Q8×C79C2411yescharacteristic
641C2×Q8×C79C2411yescharacteristic
642C2×D4×C79—21no—
643C2×D4×C79—21no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—21no—
647C2×D4×C79C2×D411yescharacteristic
648C2×D4×C79C2×D411yescharacteristic
649C2×D4×C79C2×D411yescharacteristic
650C2×D4×C79C2×D411yescharacteristic
651C2×D4×C79C2×D411yescharacteristic
652C2×D4×C79C2×D411yescharacteristic
653C2×D4×C79C2×D411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79—41no—
663C22×C4×C79—41no—
664C22×C4×C79C2×D411yescharacteristic
665C22×C4×C79C2×D411yescharacteristic
666C22×C4×C79C2×D411yescharacteristic
667C22×C4×C79C2411yescharacteristic
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671C22×C4×C79C2411yescharacteristic
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79C2×D411yescharacteristic
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2×D411yescharacteristic
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2×D411yescharacteristic
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C4⋊C4×C79C2411yescharacteristic
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79—21no—
710C22⋊C4×C79—21no—
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79C2×D411yescharacteristic
719C22⋊C4×C79C2×D411yescharacteristic
720C22⋊C4×C79C2×D411yescharacteristic
721C22⋊C4×C79C2×D411yescharacteristic
722C22⋊C4×C79C2×D411yescharacteristic
723C22⋊C4×C79C2×D411yescharacteristic
724C22⋊C4×C79C2×D411yescharacteristic
725C22⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C42×C79—21no—
729C42×C79—21no—
730C42×C79—21no—
731C42×C79—21no—
732C42×C79—21no—
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C23×C79—22no—
736C23×C79—21no—
737C23×C79—41no—
738C23×C79—41no—
739C23×C79C22×D411yescharacteristic
740C23×C79C22×D411yescharacteristic
741C23×C79C22×D411yescharacteristic
742C23×C79C22×D411yescharacteristic
743C23×C79C22×D411yescharacteristic
744C22×D79—21no—
745Q8×C79—21no—
746Q8×C79—21no—
747Q8×C79—21no—
748Q8×C79—21no—
749Q8×C79—21no—
750Q8×C79—21no—
751Q8×C79—41no—
752Q8×C79—81no—
753Q8×C79—81no—
754Q8×C79—81no—
755D4×C79—22no—
756D4×C79—22no—
757D4×C79—21no—
758D4×C79—21no—
759D4×C79—41no—
760D4×C79—41no—
761D4×C79—41no—
762D4×C79—41no—
763D4×C79—41no—
764D4×C79—42no—
765D4×C79—81no—
766D4×C79—81no—
767D4×C79—81no—
768D4×C79—81no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—41no—
787C2×C4×C79—41no—
788C2×C4×C79—41no—
789C2×C4×C79—81no—
790C2×C4×C79—81no—
791C2×C4×C79—81no—
792C2×C4×C79—81no—
793C2×C4×C79—81no—
794C2×C4×C79—81no—
795C2×C4×C79—81no—
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C22×D411yescharacteristic
799C2×C4×C79C22×D411yescharacteristic
800C2×C4×C79C22×D411yescharacteristic
801C2×C4×C79C22×D411yescharacteristic
802C2×C4×C79C22×D411yescharacteristic
803C2×C4×C79C22×D411yescharacteristic
804C2×C4×C79C22×D411yescharacteristic
805C2×C4×C79C2511yescharacteristic
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—42no—
809C22⋊D79—42no—
810C22⋊D79—42no—
811C2×Dic79—24no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—42no—
820C2×Dic79—42no—
821C2×Dic79—42no—
822C2×Dic79—42no—
823C2×Dic79—42no—
824C2×Dic79—42no—
825C2×Dic79—42no—
826D316—21no—
827D316—21no—
828C4×D79—42no—
829C4×D79—42no—
830C4×D79—42no—
831Dic158—24no—
832Dic158—21no—
833Dic158—21no—
834Dic158—21no—
835Dic158—21no—
836Dic158—21no—
837Dic158—21no—
838Dic158—21no—
839Dic158—21no—
840Dic158—42no—
841Dic158—42no—
842Dic158—42no—
843Dic158—42no—
844Dic158—42no—
845Dic158—42no—
846Dic158—42no—
847Dic158H(5,𝔽2)12yes—
848Dic158H(5,𝔽2)12yes—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C79⋊C8—21no—
853C79⋊C8—21no—
854C79⋊C8—21no—
855C79⋊C8—21no—
856C79⋊C8—21no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—21no—
860C22×C79—21no—
861C22×C79—21no—
862C22×C79—21no—
863C22×C79—21no—
864C22×C79—21no—
865C22×C79—21no—
866C22×C79—21no—
867C22×C79—21no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—44no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79#57812yes—
876C22×C79C23×D411yescharacteristic
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C4×C79—21no—
881C4×C79—21no—
882C4×C79—21no—
883C4×C79—21no—
884C4×C79—21no—
885C4×C79—21no—
886C4×C79—21no—
887C4×C79—21no—
888C4×C79—21no—
889C4×C79—41no—
890C4×C79—41no—
891C4×C79—41no—
892C4×C79—41no—
893C4×C79—41no—
894C4×C79—41no—
895C4×C79—41no—
896C4×C79C2×H(5,𝔽2)11yescharacteristic
897C4×C79C2×H(5,𝔽2)11yescharacteristic
898Dic79—22no—
899Dic79—22no—
900Dic79—41no—
901Dic79—41no—
902Dic79—41no—
903Dic79—41no—
904Dic79—41no—
905#61612—791nomaximal, Sylow
906C2×C79—22no—
907C2×C79—41no—
908C2×C79—41no—
909C2×C79—41no—
910C2×C79—41no—
911C2×C79—81no—
912C2×C79#348411yescharacteristic
913C2×C79C2×#57811yescharacteristic
914C2×C79#358611yescharacteristic
915D79—81no—
916#3541D7911yescharacteristic, complemented
917#3486—791no—
918#3328—791no—
919#3327—791no—
920#3320—791no—
921#3316—791no—
922#3313—791no—
923#3312—791no—
924#3301—791no—
925#3299—791no—
926D4×Q16—791no—
927#3285—791no—
928#3277—791no—
929#3276—791no—
930#3270—791no—
931#3270—791no—
932#3270—791no—
933#3269—791no—
934#3225—791no—
935#3223—791no—
936#3202—791no—
937#3201—791no—
938#3196—791no—
939#3191—791no—
940#3127—791no—
941#3121—791no—
942#3013—791no—
943#3011—791no—
944#3004—791no—
945C2×#451—791no—
946#2976—791no—
947C79#6161211yescharacteristic, complemented, Sylow
948C2×2−1+4—791no—
949C23×Q8—791no—
950C2×#137—791no—
951C2×#137—791no—
952C2×#137—791no—
953C2×#137—791no—
954C2×#135—791no—
955C22×Q16—791no—
956C22×Q16—791no—
957C22×Q16—791no—
958#563—21no—
959#562—21no—
960#556C2×D7911yescharacteristic
961#554—21no—
962#554C2×D7911yescharacteristic
963#553—21no—
964#553C2×D7911yescharacteristic
965#552C2×D7911yescharacteristic
966D4×Q8—791no—
967D4×Q8—791no—
968D4×Q8—791no—
969D4×Q8—791no—
970D4×Q8—1581no—
971D4×Q8—1581no—
972D4×Q8C2×D7911yescharacteristic
973#548—791no—
974#548—791no—
975#548—791no—
976#548—791no—
977#548—1581no—
978#548—1581no—
979#548C2×D7911yescharacteristic
980#548C2×D7911yescharacteristic
981#547C2×D7911yescharacteristic
982#542—21no—
983#542C2×D7911yescharacteristic
984#541C2×D7911yescharacteristic
985#539—21no—
986#538—21no—
987#538—21no—
988#537C2×D7911yescharacteristic
989#536—791no—
990#536—791no—
991#536—1581no—
992#536—1581no—
993#536C2×D7911yescharacteristic
994#525—791no—
995#525—1581no—
996#525—1581no—
997#525C2×D7911yescharacteristic
998#525C2×D7911yescharacteristic
999C2×C22⋊Q8C2×D7911yescharacteristic
1000#519—791no—
1001#497—791no—
1002#497—791no—
1003#495—791no—
1004#494—791no—
1005#491—791no—
1006#489—791no—
1007#488—791no—
1008#487—791no—
1009#485—791no—
1010#485—791no—
1011#485—791no—
1012#485—791no—
1013#485—791no—
1014#485—791no—
1015#484—791no—
1016#484—791no—
1017#483—791no—
1018#482—791no—
1019#482—791no—
1020#481—791no—
1021#479—791no—
1022#479—791no—
1023#477—791no—
1024#475—791no—
1025#470—791no—
1026#470—791no—
1027#470—791no—
1028#470—791no—
1029#470—791no—
1030#468—791no—
1031#468—791no—
1032#468—791no—
1033#467—791no—
1034#467—791no—
1035#467—791no—
1036#467—791no—
1037#466—791no—
1038#465—791no—
1039#465—791no—
1040#465—791no—
1041#464—791no—
1042#464—791no—
1043#464—791no—
1044#464—791no—
1045#464—791no—
1046#463—791no—
1047#462—791no—
1048#462—791no—
1049#462—791no—
1050#462—791no—
1051#462—791no—
1052#461—791no—
1053#452—791no—
1054#452—791no—
1055#452—791no—
1056#452—791no—
1057#452—791no—
1058#452—791no—
1059#452—791no—
1060#452—791no—
1061#452—791no—
1062#451—791no—
1063#451—791no—
1064#451—791no—
1065#451—791no—
1066#451—791no—
1067#451—791no—
1068#451—791no—
1069#451—791no—
1070#451—791no—
1071#451—791no—
1072#451—791no—
1073#451—791no—
1074#451—791no—
1075#451—791no—
1076#451—791no—
1077#451—791no—
1078#451—791no—
1079#451—791no—
1080#449—791no—
1081#449—791no—
1082#449—791no—
1083#448—791no—
1084#448—791no—
1085#448—791no—
1086#448—791no—
1087#448—791no—
1088#448—791no—
1089#441—791no—
1090#441—791no—
1091#441—791no—
1092#440—791no—
1093C4×Q16—791no—
1094C4×Q16—791no—
1095C4×Q16—791no—
1096C4×SD16—791no—
1097#436—791no—
1098#436—791no—
1099#435—791no—
1100#435—791no—
1101#435—791no—
1102#435—791no—
1103C8×D4—791no—
1104C8×D4—791no—
1105#433—791no—
1106#433—791no—
1107#419—791no—
1108#419—791no—
1109#419—791no—
1110#417—791no—
1111#416—791no—
1112C2×#103—791no—
1113C2×#103—791no—
1114C2×#103—791no—
1115#408—791no—
1116#408—791no—
1117#407—791no—
1118C2×C22⋊C8—791no—
11192−1+4—3162no—
11202−1+4—3162no—
1121C2×#41—791no—
1122C2×#41—791no—
1123C2×#41—791no—
1124C2×#41—1581no—
1125C2×#41—1581no—
1126C2×#41—1581no—
1127C2×#41C22×D7911yescharacteristic
1128C2×#41C22×D7911yescharacteristic
1129C2×#41C22×D7911yescharacteristic
1130C22×Q8—3162no—
1131C22×Q8—3162no—
1132C22×Q8—791no—
1133C22×Q8—791no—
1134C22×Q8—791no—
1135C22×Q8—791no—
1136C22×Q8—791no—
1137C22×Q8—791no—
1138C22×Q8—791no—
1139C22×Q8—791no—
1140C22×Q8—1581no—
1141C22×Q8—1581no—
1142C22×Q8—1581no—
1143C22×Q8—1581no—
1144C22×Q8C22×D7911yescharacteristic
1145C22×Q8C22×D7911yescharacteristic
1146C23×C4—1581no—
1147C23×C4C22×D7911yescharacteristic
1148#137—3162no—
1149#137—3162no—
1150#137—3162no—
1151#137—3162no—
1152#135—3162no—
1153C2×Q16—3162no—
1154C2×Q16—3162no—
1155C2×Q16—3162no—
1156C2×Q16—791no—
1157C2×Q16—791no—
1158C2×Q16—791no—
1159C2×Q16—791no—
1160C2×Q16—791no—
1161C2×Q16—791no—
1162C2×Q16—791no—
1163C2×Q16—791no—
1164C2×Q16—791no—
1165C2×Q16—791no—
1166C2×Q16—791no—
1167C2×Q16—791no—
1168C2×Q16—791no—
1169C2×Q16—791no—
1170C2×Q16—791no—
1171C2×SD16—791no—
1172C2×SD16—791no—
1173C2×SD16—791no—
1174C2×SD16—791no—
1175C2×SD16—791no—
1176C2×SD16—791no—
1177C2×SD16—791no—
1178C2×SD16—791no—
1179C2×D8—791no—
1180C2×M16—791no—
1181C2×M16—791no—
1182C2×M16—791no—
1183C2×M16—791no—
1184C22×C8—791no—
1185C22×C8—791no—
1186C22×C8—791no—
1187C22×C8—791no—
1188C4⋊Q8—21no—
1189C4⋊Q8—21no—
1190C4⋊Q8—791no—
1191C4⋊Q8—791no—
1192C4⋊Q8—1581no—
1193C4⋊Q8—1581no—
1194C4⋊Q8—1581no—
1195C4⋊Q8—1581no—
1196C4⋊Q8—1581no—
1197C4⋊Q8C22×D7911yescharacteristic
1198C4⋊Q8C22×D7911yescharacteristic
1199#126—21no—
1200#126—21no—
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#125—21no—
1207#125—21no—
1208#125—21no—
1209#125—21no—
1210#125C22×D7911yescharacteristic
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—791no—
1217#124—791no—
1218#124—1581no—
1219#124—1581no—
1220#124—1581no—
1221#124—1581no—
1222#124—1581no—
1223#124C22×D7911yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123C22⋊D7911yescharacteristic
1238#123C22⋊D7911yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—791no—
1250C22⋊Q8—791no—
1251C22⋊Q8—791no—
1252C22⋊Q8—791no—
1253C22⋊Q8—791no—
1254C22⋊Q8—791no—
1255C22⋊Q8—1581no—
1256C22⋊Q8—1581no—
1257C22⋊Q8—1581no—
1258C22⋊Q8—1581no—
1259C22⋊Q8—1581no—
1260C22⋊Q8—1581no—
1261C22⋊Q8—1581no—
1262C22⋊Q8—1581no—
1263C22⋊Q8—1581no—
1264C22⋊Q8—1581no—
1265C22⋊Q8—1581no—
1266C22⋊Q8—1581no—
1267C22⋊Q8—1581no—
1268C22⋊Q8—1581no—
1269C22⋊Q8C22⋊D7911yescharacteristic
1270C22⋊Q8C22⋊D7911yescharacteristic
1271C22⋊Q8C22×D7911yescharacteristic
1272C22⋊Q8C22×D7911yescharacteristic
1273C22⋊Q8C22×D7911yescharacteristic
1274C22⋊Q8C22×D7911yescharacteristic
1275C22⋊Q8C22×D7911yescharacteristic
1276C22⋊Q8C22×D7911yescharacteristic
1277C22⋊Q8C22×D7911yescharacteristic
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—791no—
1288#121—791no—
1289#121—1581no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121C22⋊D7911yescharacteristic
1294#121C22⋊D7911yescharacteristic
1295#121C22×D7911yescharacteristic
1296#121C22×D7911yescharacteristic
1297#121C22×D7911yescharacteristic
1298#120—21no—
1299#120—1581no—
1300#120C22⋊D7911yescharacteristic
1301#120C22⋊D7911yescharacteristic
1302C4×Q8—21no—
1303C4×Q8—791no—
1304C4×Q8—791no—
1305C4×Q8—791no—
1306C4×Q8—791no—
1307C4×Q8—1581no—
1308C4×Q8—1581no—
1309C4×Q8C22×D7911yescharacteristic
1310C4×Q8C22×D7911yescharacteristic
1311C4×Q8C22×D7911yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4—1581no—
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331C4×D4C22×D7911yescharacteristic
1332C4×D4C22×D7911yescharacteristic
1333C4×D4C22×D7911yescharacteristic
1334#117—21no—
1335#117—791no—
1336#117—1581no—
1337#117—1581no—
1338#117C22×D7911yescharacteristic
1339#117C22×D7911yescharacteristic
1340#117C22×D7911yescharacteristic
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4C22×D7911yescharacteristic
1344C2×C4⋊C4C22×D7911yescharacteristic
1345C2×C22⋊C4—21no—
1346#107—791no—
1347#107—791no—
1348#107—791no—
1349#107—791no—
1350#106—791no—
1351#106—791no—
1352#106—791no—
1353#106—791no—
1354C4⋊C8—791no—
1355C4⋊C8—791no—
1356C4⋊C8—791no—
1357C4⋊C8—791no—
1358#103—791no—
1359#103—791no—
1360#103—791no—
1361#103—791no—
1362#103—791no—
1363#103—791no—
1364#103—791no—
1365#103—791no—
1366#103—791no—
1367#103—791no—
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#103—791no—
1375#103—791no—
1376#103—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390C22⋊C8—791no—
1391C22⋊C8—791no—
1392C22⋊C8—791no—
1393C22⋊C8—791no—
1394C22⋊C8—791no—
1395C22⋊C8—791no—
1396C22⋊C8—791no—
1397C22⋊C8—791no—
1398C22⋊C8—791no—
1399C22⋊C8—791no—
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402#97—791no—
1403#97—791no—
1404C4×C8—791no—
1405C4×C8—791no—
1406C24C2×C22⋊D7911yescharacteristic
1407#41—41no—
1408#41—41no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412#41—41no—
1413#41—3161no—
1414#41—3161no—
1415#41—3161no—
1416#41—3161no—
1417#41—3164no—
1418#41—3164no—
1419#41—3164no—
1420#41—1582no—
1421#41—1582no—
1422C2×Q8—21no—
1423C2×Q8—21no—
1424C2×Q8—21no—
1425C2×Q8—41no—
1426C2×Q8—41no—
1427C2×Q8—41no—
1428C2×Q8—41no—
1429C2×Q8—3161no—
1430C2×Q8—3161no—
1431C2×Q8—3161no—
1432C2×Q8—3161no—
1433C2×Q8—3161no—
1434C2×Q8—3161no—
1435C2×Q8—3161no—
1436C2×Q8—3161no—
1437C2×Q8—3164no—
1438C2×Q8—3164no—
1439C2×Q8—3164no—
1440C2×Q8—3164no—
1441C2×Q8—791no—
1442C2×Q8—791no—
1443C2×Q8—791no—
1444C2×Q8—791no—
1445C2×Q8—791no—
1446C2×Q8—1582no—
1447C2×Q8—1582no—
1448C2×Q8—1582no—
1449C2×Q8—1582no—
1450C2×Q8—1582no—
1451C2×Q8—1582no—
1452C2×Q8—1582no—
1453C2×Q8—1582no—
1454C2×Q8—1581no—
1455C2×Q8—1581no—
1456C2×Q8—1581no—
1457C2×Q8—1581no—
1458C2×Q8—1581no—
1459C2×Q8—1581no—
1460C2×Q8—1581no—
1461C2×Q8—1581no—
1462C2×Q8C2×C22⋊D7911yescharacteristic
1463C2×Q8C23×D7911yescharacteristic
1464C2×Q8C23×D7911yescharacteristic
1465C2×Q8C23×D7911yescharacteristic
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—791no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1581no—
1477C2×D4C2×C22⋊D7911yescharacteristic
1478C2×D4C2×C22⋊D7911yescharacteristic
1479C2×D4C2×C22⋊D7911yescharacteristic
1480C2×D4C2×C22⋊D7911yescharacteristic
1481C2×D4C2×C22⋊D7911yescharacteristic
1482C2×D4C2×C22⋊D7911yescharacteristic
1483C2×D4C2×C22⋊D7911yescharacteristic
1484C2×D4C23×D7911yescharacteristic
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4—3164no—
1495C22×C4—1581no—
1496C22×C4—1581no—
1497C22×C4—1581no—
1498C22×C4—1581no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4C2×C22⋊D7911yescharacteristic
1507C22×C4C2×C22⋊D7911yescharacteristic
1508C22×C4C2×C22⋊D7911yescharacteristic
1509C22×C4C23×D7911yescharacteristic
1510C22×C4C23×D7911yescharacteristic
1511C22×C4C23×D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514Q16—3161no—
1515Q16—3161no—
1516Q16—3161no—
1517Q16—3161no—
1518Q16—3161no—
1519Q16—3161no—
1520Q16—3161no—
1521Q16—3161no—
1522Q16—3161no—
1523Q16—1582no—
1524Q16—1582no—
1525Q16—1582no—
1526Q16—1582no—
1527Q16—1582no—
1528Q16—1582no—
1529SD16—3161no—
1530SD16—3161no—
1531SD16—3161no—
1532SD16—3161no—
1533SD16—3161no—
1534SD16—3161no—
1535SD16—1582no—
1536SD16—1582no—
1537D8—3161no—
1538M16—3161no—
1539M16—3161no—
1540M16—3161no—
1541M16—3161no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—3161no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8—791no—
1550C2×C8—791no—
1551C2×C8—791no—
1552C2×C8—791no—
1553C2×C8—791no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—791no—
1574C4⋊C4—791no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4—1581no—
1582C4⋊C4—1581no—
1583C4⋊C4—1581no—
1584C4⋊C4—1581no—
1585C4⋊C4—1581no—
1586C4⋊C4—1581no—
1587C4⋊C4—1581no—
1588C4⋊C4—1581no—
1589C4⋊C4C2×C22⋊D7911yescharacteristic
1590C4⋊C4C2×C22⋊D7911yescharacteristic
1591C4⋊C4C2×C22⋊D7911yescharacteristic
1592C4⋊C4C2×C22⋊D7911yescharacteristic
1593C4⋊C4C2×C22⋊D7911yescharacteristic
1594C4⋊C4C2×C22⋊D7911yescharacteristic
1595C4⋊C4C23×D7911yescharacteristic
1596C4⋊C4C23×D7911yescharacteristic
1597C4⋊C4C23×D7911yescharacteristic
1598C4⋊C4C23×D7911yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4—1581no—
1629C22⋊C4C2×C22⋊D7911yescharacteristic
1630C22⋊C4C2×C22⋊D7911yescharacteristic
1631C22⋊C4C2×C22⋊D7911yescharacteristic
1632C22⋊C4C2×C22⋊D7911yescharacteristic
1633C22⋊C4C2×C22⋊D7911yescharacteristic
1634C22⋊C4C2×C22⋊D7911yescharacteristic
1635C22⋊C4C2×C22⋊D7911yescharacteristic
1636C22⋊C4C2×C22⋊D7911yescharacteristic
1637C22⋊C4C2×C22⋊D7911yescharacteristic
1638C22⋊C4C2×C22⋊D7911yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—21no—
1644C42—1581no—
1645C42—1581no—
1646C42—1581no—
1647C42—1581no—
1648C42—1581no—
1649C42C23×D7911yescharacteristic
1650C42C23×D7911yescharacteristic
1651C23—22no—
1652C23—21no—
1653C23—41no—
1654C23—41no—
1655C23—1581no—
1656C23C22×C22⋊D7911yescharacteristic
1657C23C22×C22⋊D7911yescharacteristic
1658C23C22×C22⋊D7911yescharacteristic
1659C23C22×C22⋊D7911yescharacteristic
1660C23C22×C22⋊D7911yescharacteristic
1661Q8—21no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—41no—
1668Q8—81no—
1669Q8—81no—
1670Q8—81no—
1671Q8—3162no—
1672Q8—3162no—
1673Q8—3162no—
1674Q8—3162no—
1675Q8—3162no—
1676Q8—3162no—
1677Q8—3162no—
1678Q8—792no—
1679Q8—792no—
1680Q8—1584no—
1681Q8—1581no—
1682Q8—1581no—
1683Q8—1581no—
1684Q8—1581no—
1685Q8—1581no—
1686Q8—1581no—
1687Q8—1581no—
1688Q8—1581no—
1689D4—22no—
1690D4—22no—
1691D4—21no—
1692D4—21no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—42no—
1699D4—81no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—3162no—
1704D4—3162no—
1705D4—3162no—
1706D4—3162no—
1707D4—3162no—
1708D4—1581no—
1709D4—1581no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—81no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—3162no—
1738C2×C4—3162no—
1739C2×C4—3162no—
1740C2×C4—3162no—
1741C2×C4—3162no—
1742C2×C4—3162no—
1743C2×C4—3162no—
1744C2×C4—3162no—
1745C2×C4—3162no—
1746C2×C4—3162no—
1747C2×C4—1581no—
1748C2×C4—1581no—
1749C2×C4—1581no—
1750C2×C4—1581no—
1751C2×C4—1581no—
1752C2×C4—1584no—
1753C2×C4—1581no—
1754C2×C4—1581no—
1755C2×C4C22×C22⋊D7911yescharacteristic
1756C2×C4C22×C22⋊D7911yescharacteristic
1757C2×C4C22×C22⋊D7911yescharacteristic
1758C2×C4C22×C22⋊D7911yescharacteristic
1759C2×C4C22×C22⋊D7911yescharacteristic
1760C2×C4C22×C22⋊D7911yescharacteristic
1761C2×C4C22×C22⋊D7911yescharacteristic
1762C2×C4C22×C22⋊D7911yescharacteristic
1763C2×C4C22×C22⋊D7911yescharacteristic
1764C2×C4C24×D7911yescharacteristic
1765C8—1581no—
1766C8—1581no—
1767C8—1581no—
1768C8—1581no—
1769C8—1581no—
1770C8—1581no—
1771C8—1581no—
1772C8—1581no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—3161no—
1792C22—3161no—
1793C22—3161no—
1794C22#1909937812yes—
1795C22C23×C22⋊D7911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—3161no—
1813C4—3161no—
1814C4—3161no—
1815C4—3161no—
1816C4—3161no—
1817C4—1582no—
1818C4—1582no—
1819C4H(5,𝔽2)×D7911yescharacteristic
1820C4H(5,𝔽2)×D7911yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—81no—
1827C2—6321no—
1828C2#2377703111yescharacteristic
1829C2C2×#1909937811yescharacteristic
1830C2#2377818611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3541C2
socleC22×C79C23×D4
hypercenter#3541D79
hypocenterC79#61612
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #23777047C2semidirect
2. #23775677C2semidirect
3. #23775662C2semidirect
4. #23775565C2semidirect
5. #23775505C2semidirect
6. #23775460C2semidirect
7. #23775445C2semidirect
8. #23775296C2semidirect
9. #23775270C2semidirect
10. D4×#11929614C2semidirect
11. #23775137C2semidirect
12. #23775053C2semidirect
13. #23775042C2semidirect
14. #23774971C2semidirect
15. #23774966C2semidirect
16. #23774966C2semidirect
17. #23774951C2semidirect
18. #23774503C2semidirect
19. #23774477C2semidirect
20. #23774291C2semidirect
21. #23774276C2semidirect
22. #23774230C2semidirect
23. #23774188C2semidirect
24. #23773695C2semidirect
25. #23773623C2semidirect
26. #23772712C2semidirect
27. #23772693C2semidirect
28. #23772633C2semidirect
29. C2×#19098718C2semidirect
30. #23772448C2semidirect
31. C79×#3541C2semidirect
34. C2×#14579192C22semidirect
37. C2×#14579191C22semidirect
38. C2×#14579181C22semidirect
41. C22×#11929614C22semidirect
62. #19098958C22semidirect
63. #19098955C22semidirect
64. #19098945C22semidirect
65. #19098942C22semidirect
66. #19098933C22semidirect
67. #19098925C22semidirect
68. #19098920C22semidirect
69. #19098915C22semidirect
71. #19098904C22semidirect
72. #19098904C22semidirect
77. #19098898C22semidirect
78. #19098893C22semidirect
82. #19098867C22semidirect
83. #19098867C22semidirect
84. #19098855C22semidirect
85. #19098845C22semidirect
88. #19098819C22semidirect
89. #19098819C22semidirect
90. #19098819C22semidirect
93. #19098807C22semidirect
95. #19098802C22semidirect
96. #19098802C22semidirect
97. #19098802C22semidirect
101. #19098790C22semidirect
102. #19098785C22semidirect
103. #19098785C22semidirect
104. #19098785C22semidirect
105. #19098782C22semidirect
106. #19098782C22semidirect
107. #19098778C22semidirect
108. #19098773C22semidirect
109. #19098773C22semidirect
110. #19098773C22semidirect
111. #19098770C22semidirect
112. #19098770C22semidirect
113. #19098768C22semidirect
115. #19098725C22semidirect
116. #19098725C22semidirect
120. #19098723C22semidirect
121. #19098723C22semidirect
122. #19098723C22semidirect
124. #19098719C22semidirect
125. #19098719C22semidirect
138. #19098718C22semidirect
139. #19098718C22semidirect
140. #19098718C22semidirect
143. #19098706C22semidirect
149. #19098701C22semidirect
150. #19098668C22semidirect
151. #19098668C22semidirect
152. #19098668C22semidirect
153. #19098663C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929614C22semidirect
156. C4×#11929614C22semidirect
157. C4×#11929612C22semidirect
170. #19098571C22semidirect
171. #19098562C22semidirect
172. #19098557C22semidirect
175. C2×#14579084C22semidirect
916. #3541D79semidirect
947. C79#61612semidirect

Maximal subgroups

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

subgroupindex
#237770472
#237756772
#237756622
#237755652
#237755052
#237754602
#237754452
#237752962
#237752702
D4×#119296142
#237751372
#237750532
#237750422
#237749712
#237749662
#237749512
#237745032
#237744772
#237742912
#237742762
#237742302
#237741882
#237736952
#237736232
#237727122
#237726932
#237726332
C2×#190987182
#237724482
C79×#35412
#6161279