Finite Group Databasebeta

← #35173928

Subgroups — #35173928

Order 20224.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777681C211yesmaximal, characteristic, complemented
2#23777040C211yesmaximal, characteristic, complemented
3#23775712C211yesmaximal, characteristic, complemented
4#23775605C211yesmaximal, characteristic, complemented
5#23775497C211yesmaximal, characteristic, complemented
6#23775477C211yesmaximal, characteristic, complemented
7#23775429C211yesmaximal, characteristic, complemented
8#23775380C211yesmaximal, characteristic, complemented
9#23775310C211yesmaximal, characteristic, complemented
10#23775231C211yesmaximal, characteristic, complemented
11#23775116C211yesmaximal, characteristic, complemented
12#23775111C211yesmaximal, characteristic, complemented
13#23775044C211yesmaximal, characteristic, complemented
14#23775031C211yesmaximal, characteristic, complemented
15#23774955C211yesmaximal, characteristic, complemented
16#23774953C211yesmaximal, characteristic, complemented
17#23774919C211yesmaximal, characteristic, complemented
18#23774914C211yesmaximal, characteristic, complemented
19#23774505C211yesmaximal, characteristic, complemented
20#23774481C211yesmaximal, characteristic, complemented
21#23774295C211yesmaximal, characteristic, complemented
22#23774276C211yesmaximal, characteristic, complemented
23#23774239C211yesmaximal, characteristic, complemented
24#23774179C211yesmaximal, characteristic, complemented
25#23773646C211yesmaximal, characteristic, complemented
26#23773577C211yesmaximal, characteristic, complemented
27#23772677C211yesmaximal, characteristic, complemented
28#23772655C211yesmaximal, characteristic, complemented
29#23772613C211yesmaximal, characteristic, complemented
30#23772443C211yesmaximal, characteristic, complemented
31C79×#3012C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C2×#14579191C2211yescharacteristic, complemented
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579190C2211yescharacteristic, complemented
36C2×#14579180C2211yescharacteristic, complemented
37C2×#14579180C2211yescharacteristic, complemented
38C22×#11929612C2211yescharacteristic, complemented
39#19099314—21no—
40#19099308—21no—
41#19099284C2211yescharacteristic, complemented
42#19099268C2211yescharacteristic, complemented
43#19099267—21no—
44#19099260—21no—
45#19099260C2211yescharacteristic, complemented
46#19099248C2211yescharacteristic, complemented
47#19099226C2211yescharacteristic, complemented
48#19099220C2211yescharacteristic, complemented
49#19099219C2211yescharacteristic, complemented
50#19099212—21no—
51#19099212—21no—
52#19099212C2211yescharacteristic
53#19099212C2211yescharacteristic
54#19099212C2211yescharacteristic
55#19099212C2211yescharacteristic
56#19099212C2211yescharacteristic, complemented
57#19099207—21no—
58#19099207—21no—
59#19099207C2211yescharacteristic
60#19099207C2211yescharacteristic
61#19099207C2211yescharacteristic
62#19099207C2211yescharacteristic
63#19099180—21no—
64#19099180C2211yescharacteristic, complemented
65#19099173C2211yescharacteristic, complemented
66#19099158—21no—
67#19099145—21no—
68#19099145—21no—
69#19099134C2211yescharacteristic
70#19099134C2211yescharacteristic
71#19099134C2211yescharacteristic
72#19099122—21no—
73#19099122—21no—
74#19099073C2211yescharacteristic, complemented
75#19099070C2211yescharacteristic
76#19099070C2211yescharacteristic
77C2×#14579142—21no—
78C2×#14579142—21no—
79C22⋊Q8×D79C2211yescharacteristic, complemented
80#19099038C2211yescharacteristic
81#19098954C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic, complemented
84#19098941C2211yescharacteristic, complemented
85#19098930C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098912C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098905C2211yescharacteristic, complemented
92#19098905C2211yescharacteristic, complemented
93#19098902C2211yescharacteristic, complemented
94#19098901C2211yescharacteristic, complemented
95#19098898C2211yescharacteristic, complemented
96#19098893C2211yescharacteristic, complemented
97#19098892C2211yescharacteristic, complemented
98#19098885C2211yescharacteristic, complemented
99#19098884C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098821C2211yescharacteristic, complemented
106#19098821C2211yescharacteristic, complemented
107#19098820C2211yescharacteristic, complemented
108#19098819C2211yescharacteristic, complemented
109#19098813C2211yescharacteristic, complemented
110#19098808C2211yescharacteristic, complemented
111#19098807C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic, complemented
113#19098804C2211yescharacteristic, complemented
114#19098804C2211yescharacteristic, complemented
115#19098803C2211yescharacteristic, complemented
116#19098802C2211yescharacteristic, complemented
117#19098801C2211yescharacteristic, complemented
118#19098791C2211yescharacteristic, complemented
119#19098790C2211yescharacteristic, complemented
120#19098789C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098776C2211yescharacteristic, complemented
127#19098772C2211yescharacteristic, complemented
128#19098772C2211yescharacteristic, complemented
129#19098771C2211yescharacteristic, complemented
130#19098766C2211yescharacteristic, complemented
131#19098766C2211yescharacteristic, complemented
132#19098766C2211yescharacteristic, complemented
133#19098726C2211yescharacteristic, complemented
134#19098726C2211yescharacteristic, complemented
135#19098726C2211yescharacteristic, complemented
136#19098726C2211yescharacteristic, complemented
137#19098725C2211yescharacteristic
138#19098725C2211yescharacteristic
139#19098725C2211yescharacteristic, complemented
140#19098725C2211yescharacteristic, complemented
141#19098725C2211yescharacteristic, complemented
142#19098725C2211yescharacteristic, complemented
143#19098722C2211yescharacteristic, complemented
144#19098722C2211yescharacteristic, complemented
145#19098722C2211yescharacteristic, complemented
146#19098721C2211yescharacteristic, complemented
147#19098721C2211yescharacteristic, complemented
148#19098721C2211yescharacteristic, complemented
149#19098721C2211yescharacteristic, complemented
150#19098718C2211yescharacteristic, complemented
151#19098717C2211yescharacteristic, complemented
152#19098714C2211yescharacteristic
153#19098714C2211yescharacteristic
154#19098714C2211yescharacteristic, complemented
155#19098714C2211yescharacteristic, complemented
156#19098705C2211yescharacteristic, complemented
157#19098705C2211yescharacteristic, complemented
158#19098705C2211yescharacteristic, complemented
159#19098701C2211yescharacteristic, complemented
160#19098700C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098664C2211yescharacteristic, complemented
163#19098660C2211yescharacteristic, complemented
164#19098660C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166#19098654C2211yescharacteristic, complemented
167SD16×Dic79C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic, complemented
169#19098639C2211yescharacteristic, complemented
170#19098638C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098634C2211yescharacteristic, complemented
173#19098632C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176(C22⋊D79)⋊C8C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098621C2211yescharacteristic, complemented
179#19098568C2211yescharacteristic, complemented
180#19098561C2211yescharacteristic, complemented
181#19098561C2211yescharacteristic, complemented
182#19098559C2211yescharacteristic, complemented
183#19098556C2211yescharacteristic, complemented
184#19098556C2211yescharacteristic, complemented
185#19098530C2211yescharacteristic
186#19098525C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C79C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190C2×#135×C79C2211yescharacteristic, complemented
191#537×C79C2211yescharacteristic
192#452×C79C2211yescharacteristic
193#452×C79C2211yescharacteristic, complemented
194#450×C79C2211yescharacteristic
195#450×C79C2211yescharacteristic, complemented
196#449×C79C2211yescharacteristic
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic
199#447×C79C2211yescharacteristic, complemented
200#417×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202#408×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623—21no—
205C2×#11929623—42no—
206C2×#11929623—42no—
207C2×#11929623C2311yescharacteristic
208C2×#11929623C2311yescharacteristic
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211C2×#11929623C2311yescharacteristic
212C22×Dic158C2311yescharacteristic
213C22×Dic158C2311yescharacteristic
214C2×Q8×D79C2311yescharacteristic
215C22×C22⋊D79—21no—
216C23×Dic79—21no—
217C22×C4×D79C2311yescharacteristic
218#14579191—42no—
219#14579190—42no—
220#14579190—42no—
221#14579180—42no—
222#14579180—42no—
223C2×Dic316C2311yescharacteristic
224C2×Dic316C2311yescharacteristic
225C2×Dic316C2311yescharacteristic
226C2×Dic316C2311yescharacteristic
227C2×#11929614C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929614C2311yescharacteristic
230C2×#11929614C2311yescharacteristic
231C2×#11929612—42no—
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929612C2311yescharacteristic
237C2×#11929612C2311yescharacteristic
238C2×#11929612C2311yescharacteristic
239C2×#11929612C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929607C2311yescharacteristic
242C2×#11929607C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244C2×C8×D79C2311yescharacteristic
245C2×C8×D79C2311yescharacteristic
246#14579160—21no—
247#14579160C2311yescharacteristic
248#14579159—21no—
249#14579159—21no—
250#14579159C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579159C2311yescharacteristic
253#14579156—21no—
254#14579156—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579152—21no—
261#14579152C2311yescharacteristic
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579148—21no—
266#14579148—21no—
267#14579148—21no—
268#14579148—21no—
269#14579148C2311yescharacteristic
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579147—21no—
273#14579147—21no—
274#14579144—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579143—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579142—21no—
294#14579142—21no—
295#14579142—21no—
296#14579142—21no—
297#14579142—21no—
298#14579142—21no—
299#14579142D411yescharacteristic
300#14579142D411yescharacteristic
301#14579141C2311yescharacteristic
302#14579141C2311yescharacteristic
303#14579140—21no—
304#14579140—21no—
305#14579140—21no—
306#14579140—21no—
307#14579140C2311yescharacteristic
308#14579140C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579140C2311yescharacteristic
314#14579140C2311yescharacteristic
315#14579139—21no—
316#14579139—21no—
317#14579139—21no—
318#14579138—21no—
319#14579138—21no—
320#14579138—21no—
321#14579138—21no—
322#14579137D411yescharacteristic
323#14579137D411yescharacteristic
324#14579137C2311yescharacteristic
325#14579137C2311yescharacteristic
326#14579137C2311yescharacteristic
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133—21no—
336#14579133—21no—
337#14579132—21no—
338#14579132—21no—
339#14579132D411yescharacteristic
340#14579132D411yescharacteristic
341#14579132C2311yescharacteristic
342#14579132C2311yescharacteristic
343#14579132C2311yescharacteristic
344#14579130—21no—
345#14579130—21no—
346#14579130—21no—
347#14579130—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129D411yescharacteristic
351#14579129D411yescharacteristic
352Q8×Dic79C2311yescharacteristic
353#14579126—21no—
354#14579126C2311yescharacteristic
355#14579126C2311yescharacteristic
356D4×Dic79—21no—
357D4×Dic79—21no—
358D4×Dic79—21no—
359D4×Dic79—21no—
360D4×Dic79C2311yescharacteristic
361D4×Dic79C2311yescharacteristic
362D4×Dic79C2311yescharacteristic
363D4×Dic79C2311yescharacteristic
364D4×Dic79C2311yescharacteristic
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79C2311yescharacteristic
370C4×C22⋊D79C2311yescharacteristic
371C4×C22⋊D79C2311yescharacteristic
372C4×C22⋊D79C2311yescharacteristic
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375(C22⋊D79)⋊C4—21no—
376#14579120—21no—
377#14579120C2311yescharacteristic
378#14579120C2311yescharacteristic
379#14579120C2311yescharacteristic
380#14579119C2311yescharacteristic
381C2×Dic79⋊C4—21no—
382C2×Dic79⋊C4—21no—
383C2×Dic79⋊C4—21no—
384C2×Dic79⋊C4—21no—
385C2×Dic79⋊C4—21no—
386C4⋊C4×D79—21no—
387C4⋊C4×D79C2311yescharacteristic
388C2×C22⋊Dic79—21no—
389C2×C22⋊Dic79—21no—
390C2×C22⋊Dic79—21no—
391C2×C22⋊Dic79—21no—
392C2×C22⋊Dic79—21no—
393C2×C22⋊Dic79—21no—
394C22⋊C4×D79—21no—
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579085C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579082C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441C8×Dic79C2311yescharacteristic
442C8×Dic79C2311yescharacteristic
443H(5,𝔽2)×C79—42no—
444H(5,𝔽2)×C79—42no—
445C2×#41×C79—21no—
446C2×#41×C79C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C2×#41×C79C2311yescharacteristic
450C2×#41×C79C2311yescharacteristic
451C22×D4×C79—21no—
452C22×D4×C79—21no—
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C22×D4×C79C2311yescharacteristic
456C22×D4×C79C2311yescharacteristic
457AGL(1,ℤ/8)×C79—42no—
458#135×C79—42no—
459C2×Q16×C79C2311yescharacteristic
460C2×SD16×C79C2311yescharacteristic
461C2×SD16×C79C2311yescharacteristic
462C2×SD16×C79C2311yescharacteristic
463C2×SD16×C79C2311yescharacteristic
464C2×D8×C79C2311yescharacteristic
465C2×D8×C79C2311yescharacteristic
466C2×D8×C79C2311yescharacteristic
467C2×M16×C79C2311yescharacteristic
468C22×C8×C79C2311yescharacteristic
469C22⋊Q8×C79—21no—
470C22⋊Q8×C79C2311yescharacteristic
471C22⋊Q8×C79C2311yescharacteristic
472#121×C79—21no—
473#121×C79—21no—
474#121×C79—21no—
475#121×C79C2311yescharacteristic
476#121×C79C2311yescharacteristic
477C2×C4⋊C4×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79C2×D411yescharacteristic
491#11929623—22no—
492#11929623—22no—
493#11929623—22no—
494#11929623—22no—
495#11929623—41no—
496#11929623—41no—
497#11929623—41no—
498#11929623—41no—
499#11929623—44no—
500#11929623—44no—
501#11929623—41no—
502#11929623—41no—
503C2×Dic158—21no—
504C2×Dic158—21no—
505C2×Dic158—21no—
506C2×Dic158—21no—
507C2×Dic158—41no—
508C2×Dic158—41no—
509C2×Dic158—41no—
510C2×Dic158—41no—
511C2×Dic158C2411yescharacteristic
512C2×Dic158C2411yescharacteristic
513C2×Dic158C2411yescharacteristic
514C2×Dic158C2411yescharacteristic
515Q8×D79—41no—
516Q8×D79—41no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—44no—
526C2×C22⋊D79C2×D411yescharacteristic
527C2×C22⋊D79C2×D411yescharacteristic
528C2×C22⋊D79C2×D411yescharacteristic
529C2×C22⋊D79C2×D411yescharacteristic
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—44no—
543C22×Dic79C2×D411yescharacteristic
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—41no—
547C2×C4×D79—41no—
548C2×C4×D79C2×D411yescharacteristic
549C2×C4×D79C2×D411yescharacteristic
550C2×C4×D79C2411yescharacteristic
551C2×C4×D79C2411yescharacteristic
552Dic316—41no—
553Dic316—41no—
554Dic316—41no—
555Dic316—41no—
556#11929614—41no—
557#11929614—41no—
558#11929614—41no—
559#11929614—41no—
560#11929612—22no—
561#11929612—22no—
562#11929612—22no—
563#11929612—22no—
564#11929612—41no—
565#11929612—41no—
566#11929612—41no—
567#11929612—41no—
568#11929608—41no—
569#11929607—41no—
570#11929607—41no—
571C2×C79⋊C8—41no—
572C2×C79⋊C8C2411yescharacteristic
573C2×C79⋊C8C2411yescharacteristic
574C2×C79⋊C8C2411yescharacteristic
575C2×C79⋊C8C2411yescharacteristic
576C8×D79—41no—
577C8×D79—41no—
578C4⋊Dic79—21no—
579C4⋊Dic79—21no—
580C4⋊Dic79—21no—
581C4⋊Dic79—21no—
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2×D411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
585C4⋊Dic79C2411yescharacteristic
586C4⋊Dic79C2411yescharacteristic
587C4⋊Dic79C2411yescharacteristic
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
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—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4C2×D411yescharacteristic
611Dic79⋊C4C2×D411yescharacteristic
612Dic79⋊C4C2×D411yescharacteristic
613Dic79⋊C4C2×D411yescharacteristic
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79—21no—
626C22⋊Dic79—21no—
627C22⋊Dic79—21no—
628C22⋊Dic79—21no—
629C22⋊Dic79—21no—
630C22⋊Dic79—21no—
631C22⋊Dic79—21no—
632C22⋊Dic79—21no—
633C22⋊Dic79—21no—
634C22⋊Dic79—21no—
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79C2×D411yescharacteristic
639C22⋊Dic79C2×D411yescharacteristic
640C22⋊Dic79C2×D411yescharacteristic
641C22⋊Dic79C2×D411yescharacteristic
642C22⋊Dic79C2×D411yescharacteristic
643C22⋊Dic79C2×D411yescharacteristic
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4C2×D411yescharacteristic
651(C2×D79)⋊C4C2×D411yescharacteristic
652(C2×D79)⋊C4C2×D411yescharacteristic
653(C2×D79)⋊C4C2×D411yescharacteristic
654C4×Dic79—21no—
655C4×Dic79—21no—
656C4×Dic79—21no—
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79C2411yescharacteristic
661C4×Dic79C2411yescharacteristic
662C24×C79—21no—
663C24×C79—21no—
664C24×C79—21no—
665#41×C79—22no—
666#41×C79—22no—
667#41×C79—41no—
668#41×C79—41no—
669#41×C79—41no—
670#41×C79—41no—
671#41×C79—41no—
672#41×C79—41no—
673#41×C79—41no—
674#41×C79—41no—
675#41×C79—44no—
676C2×Q8×C79C2×D411yescharacteristic
677C2×Q8×C79C2411yescharacteristic
678C2×Q8×C79C2411yescharacteristic
679C2×D4×C79—22no—
680C2×D4×C79—22no—
681C2×D4×C79—22no—
682C2×D4×C79—22no—
683C2×D4×C79—21no—
684C2×D4×C79—21no—
685C2×D4×C79—21no—
686C2×D4×C79—21no—
687C2×D4×C79—21no—
688C2×D4×C79—21no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—41no—
693C2×D4×C79—41no—
694C2×D4×C79—44no—
695C2×D4×C79—44no—
696C2×D4×C79—44no—
697C2×D4×C79C2×D411yescharacteristic
698C2×D4×C79C2×D411yescharacteristic
699C2×D4×C79C2×D411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C22×C4×C79—21no—
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79—21no—
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712Q16×C79—41no—
713SD16×C79—22no—
714SD16×C79—22no—
715SD16×C79—41no—
716SD16×C79—41no—
717D8×C79—22no—
718D8×C79—22no—
719D8×C79—41no—
720M16×C79—41no—
721C2×C8×C79—41no—
722C2×C8×C79C2411yescharacteristic
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C2×C8×C79C2411yescharacteristic
726C4⋊C4×C79—21no—
727C4⋊C4×C79—21no—
728C4⋊C4×C79—21no—
729C4⋊C4×C79C2411yescharacteristic
730C4⋊C4×C79C2411yescharacteristic
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C23×C79—24no—
736C23×C79—21no—
737C23×C79—21no—
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—42no—
741C23×C79—42no—
742C23×C79—81no—
743C23×C79—81no—
744C23×C79—81no—
745C23×C79—81no—
746C23×C79—81no—
747C23×C79—81no—
748C23×C79C22×D411yescharacteristic
749C23×C79C22×D411yescharacteristic
750C23×C79C22×D411yescharacteristic
751C22×D79—41no—
752C22×D79—41no—
753C22×D79—41no—
754C22×D79C22×D411yescharacteristic
755C22×D79C22×D411yescharacteristic
756Q8×C79—21no—
757Q8×C79—21no—
758Q8×C79—21no—
759Q8×C79—21no—
760Q8×C79—41no—
761D4×C79—24no—
762D4×C79—21no—
763D4×C79—21no—
764D4×C79—21no—
765D4×C79—21no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—41no—
769D4×C79—41no—
770D4×C79—41no—
771D4×C79—42no—
772D4×C79—42no—
773D4×C79—42no—
774D4×C79—42no—
775D4×C79—42no—
776D4×C79—81no—
777D4×C79—81no—
778D4×C79—81no—
779D4×C79H(5,𝔽2)12yes—
780D4×C79H(5,𝔽2)12yes—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—42no—
792C2×C4×C79—42no—
793C2×C4×C79—42no—
794C2×C4×C79—81no—
795C2×C4×C79—81no—
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C22×D411yescharacteristic
799C2×C4×C79C2511yescharacteristic
800C22⋊D79—41no—
801C22⋊D79—41no—
802C22⋊D79—41no—
803C22⋊D79—41no—
804C22⋊D79—42no—
805C22⋊D79—42no—
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—42no—
809C22⋊D79—81no—
810C22⋊D79—81no—
811C22⋊D79—81no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—41no—
821C2×Dic79—42no—
822C2×Dic79—42no—
823C2×Dic79—42no—
824C2×Dic79—42no—
825C2×Dic79—42no—
826C2×Dic79—81no—
827C2×Dic79—81no—
828C2×Dic79—81no—
829C2×Dic79—81no—
830C2×Dic79—81no—
831C2×Dic79—81no—
832C2×Dic79—81no—
833C2×Dic79C22×D411yescharacteristic
834C2×Dic79C22×D411yescharacteristic
835C2×Dic79C22×D411yescharacteristic
836C2×Dic79C22×D411yescharacteristic
837C2×Dic79C22×D411yescharacteristic
838C2×Dic79C22×D411yescharacteristic
839C4×D79—21no—
840C4×D79—21no—
841C4×D79—21no—
842C4×D79—21no—
843C4×D79—41no—
844C4×D79—41no—
845C4×D79—81no—
846C4×D79—81no—
847Dic158—21no—
848Dic158—21no—
849Dic158—21no—
850Dic158—21no—
851Dic158—21no—
852Dic158—21no—
853Dic158—21no—
854Dic158—21no—
855Dic158—42no—
856Dic158—81no—
857Dic158—81no—
858Dic158—81no—
859C8×C79—21no—
860C8×C79—21no—
861C8×C79—21no—
862C8×C79—21no—
863C79⋊C8—21no—
864C79⋊C8—21no—
865C79⋊C8—21no—
866C79⋊C8—21no—
867C22×C79—21no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—21no—
872C22×C79—21no—
873C22×C79—22no—
874C22×C79—22no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—41no—
879C22×C79—41no—
880C22×C79—41no—
881C22×C79—41no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—41no—
886C22×C79—41no—
887C22×C79—41no—
888C22×C79—84no—
889C22×C79—162no—
890C22×C79—162no—
891C22×C79C23×D411yescharacteristic
892C2×D79—21no—
893C2×D79—21no—
894C2×D79—21no—
895C2×D79—21no—
896C2×D79—21no—
897C2×D79—21no—
898C2×D79—82no—
899C4×C79—21no—
900C4×C79—21no—
901C4×C79—21no—
902C4×C79—41no—
903C4×C79—41no—
904C4×C79—41no—
905C4×C79—41no—
906C4×C79C2×H(5,𝔽2)11yescharacteristic
907C4×C79C2×H(5,𝔽2)11yescharacteristic
908Dic79—21no—
909Dic79—21no—
910Dic79—21no—
911Dic79—21no—
912Dic79—21no—
913Dic79—21no—
914Dic79—41no—
915Dic79—41no—
916Dic79—41no—
917Dic79—41no—
918Dic79—41no—
919Dic79—41no—
920Dic79—41no—
921Dic79—41no—
922#61613—791nomaximal, Sylow
923C2×C79—41no—
924C2×C79—41no—
925C2×C79—41no—
926C2×C79—42no—
927C2×C79—42no—
928C2×C79—81no—
929C2×C79—81no—
930C2×C79#348411yescharacteristic
931C2×C79#358411yescharacteristic
932C2×C79#358611yescharacteristic
933D79—41no—
934D79—41no—
935#3541—791no—
936#3485—791no—
937#3331—791no—
938#3322—791no—
939#3315—791no—
940#3314—791no—
941#3311—791no—
942#3307—791no—
943#3302—791no—
944#3296—791no—
945#3283—791no—
946#3282—791no—
947#3276—791no—
948#3275—791no—
949#3269—791no—
950#3269—791no—
951#3267—791no—
952#3266—791no—
953#3225—791no—
954#3223—791no—
955#3202—791no—
956#3201—791no—
957#3197—791no—
958#3190—791no—
959#3123—791no—
960#3118—791no—
961#3012D7911yescharacteristic, complemented
962#3009—791no—
963#3007—791no—
964#3002—791no—
965#2976—791no—
966C79#6161311yescharacteristic, complemented, Sylow
967C2×H(5,𝔽2)C2×D7911yescharacteristic
968C22×#41—791no—
969C2×#137—791no—
970C2×#137—791no—
971C2×#137—791no—
972C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
973C2×#135—791no—
974C2×#135—791no—
975C2×#135C2×D7911yescharacteristic, complemented
976C22×SD16—791no—
977#563—1581no—
978#562—1581no—
979#556—791no—
980#554—791no—
981#554—1581no—
982#553—791no—
983#553—1581no—
984#552—791no—
985D4×Q8—791no—
986#548—791no—
987#548—791no—
988#547—791no—
989#547—791no—
990#547—791no—
991#547—791no—
992#547—791no—
993#547—1581no—
994#547—1581no—
995#546—791no—
996#546—791no—
997#546—791no—
998#546—791no—
999#546—1581no—
1000#546—1581no—
1001#542—791no—
1002#542—1581no—
1003#541—791no—
1004#539—1581no—
1005#538—1581no—
1006#538—1581no—
1007#537C2×D7911yescharacteristic
1008#536—791no—
1009#536—791no—
1010#536—791no—
1011#534—1581no—
1012#534—1581no—
1013#525—791no—
1014#525—791no—
1015#525—791no—
1016C2×#123—1581no—
1017C2×#123—1581no—
1018C2×C22⋊Q8—791no—
1019#518—791no—
1020#497—791no—
1021#497—791no—
1022#495—791no—
1023#494—791no—
1024#491—791no—
1025#489—791no—
1026#488—791no—
1027#487—791no—
1028#485—791no—
1029#485—791no—
1030#485—791no—
1031#485—791no—
1032#485—791no—
1033#485—791no—
1034#484—791no—
1035#483—791no—
1036#483—791no—
1037#482—791no—
1038#482—791no—
1039#480—791no—
1040#478—791no—
1041#478—791no—
1042#476—791no—
1043#474—791no—
1044#470—791no—
1045#470—791no—
1046#470—791no—
1047#470—791no—
1048#469—791no—
1049#468—791no—
1050#468—791no—
1051#468—791no—
1052#467—791no—
1053#467—791no—
1054#467—791no—
1055#467—791no—
1056#467—791no—
1057#465—791no—
1058#465—791no—
1059#465—791no—
1060#464—791no—
1061#464—791no—
1062#464—791no—
1063#463—791no—
1064#463—791no—
1065#463—791no—
1066#462—791no—
1067#462—791no—
1068#462—791no—
1069#461—791no—
1070#461—791no—
1071#461—791no—
1072#452—791no—
1073#452—791no—
1074#452—791no—
1075#452—791no—
1076#452—791no—
1077#452—791no—
1078#452—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452C2×D7911yescharacteristic
1086#452C2×D7911yescharacteristic, complemented
1087#451—791no—
1088#451—791no—
1089#451—791no—
1090#451—791no—
1091#451—791no—
1092#451—791no—
1093#450—791no—
1094#450—791no—
1095#450—791no—
1096#450—791no—
1097#450C2×D7911yescharacteristic
1098#450C2×D7911yescharacteristic, complemented
1099#449—791no—
1100#449—791no—
1101#449—791no—
1102#449C2×D7911yescharacteristic
1103#449C2×D7911yescharacteristic, complemented
1104#448—791no—
1105#448—791no—
1106#447C2×D7911yescharacteristic
1107#447C2×D7911yescharacteristic, complemented
1108#442—791no—
1109#440—791no—
1110#440—791no—
1111#440—791no—
1112C4×SD16—791no—
1113C4×SD16—791no—
1114C4×SD16—791no—
1115C4×D8—791no—
1116#436—791no—
1117#436—791no—
1118#435—791no—
1119#435—791no—
1120#435—791no—
1121#435—791no—
1122C8×D4—791no—
1123C8×D4—791no—
1124#433—791no—
1125#433—791no—
1126#418—791no—
1127#417—791no—
1128#417—791no—
1129#417C2×D7911yescharacteristic, complemented
1130#416—791no—
1131#416—791no—
1132#416—791no—
1133C2×#102C2×D7911yescharacteristic, complemented
1134#408—791no—
1135#408C2×D7911yescharacteristic
1136#407—791no—
1137C2×C22⋊C8—791no—
1138H(5,𝔽2)—42no—
1139H(5,𝔽2)—42no—
1140C2×#41—21no—
1141C2×#41—3162no—
1142C2×#41—3162no—
1143C2×#41—791no—
1144C2×#41—791no—
1145C2×#41—791no—
1146C2×#41—791no—
1147C2×#41—791no—
1148C2×#41—1581no—
1149C2×#41—1581no—
1150C2×#41C22×D7911yescharacteristic
1151C2×#41C22×D7911yescharacteristic
1152C2×#41C22×D7911yescharacteristic
1153C2×#41C22×D7911yescharacteristic
1154C2×#41C22×D7911yescharacteristic
1155C22×Q8—791no—
1156C22×Q8—791no—
1157C22×Q8—791no—
1158C22×D4—21no—
1159C22×D4—21no—
1160C22×D4—21no—
1161C22×D4—1581no—
1162C22×D4C22×D7911yescharacteristic
1163C22×D4C22×D7911yescharacteristic
1164C22×D4C22×D7911yescharacteristic
1165C23×C4—791no—
1166C23×C4—1581no—
1167#137—3162no—
1168#137—3162no—
1169#137—3162no—
1170AGL(1,ℤ/8)—42no—
1171#135—42no—
1172#135—3162no—
1173#135—3162no—
1174C2×Q16—791no—
1175C2×Q16—791no—
1176C2×Q16—791no—
1177C2×Q16—791no—
1178C2×Q16—791no—
1179C2×Q16—791no—
1180C2×Q16—791no—
1181C2×Q16—791no—
1182C2×Q16C22×D7911yescharacteristic
1183C2×SD16—3162no—
1184C2×SD16—791no—
1185C2×SD16—791no—
1186C2×SD16—791no—
1187C2×SD16—791no—
1188C2×SD16—791no—
1189C2×SD16—791no—
1190C2×SD16—791no—
1191C2×SD16—791no—
1192C2×SD16C22×D7911yescharacteristic
1193C2×SD16C22×D7911yescharacteristic
1194C2×SD16C22×D7911yescharacteristic
1195C2×SD16C22×D7911yescharacteristic
1196C2×D8C22×D7911yescharacteristic
1197C2×D8C22×D7911yescharacteristic
1198C2×D8C22×D7911yescharacteristic
1199C2×M16—791no—
1200C2×M16—791no—
1201C2×M16—791no—
1202C2×M16C22×D7911yescharacteristic
1203C22×C8—791no—
1204C22×C8—791no—
1205C22×C8—791no—
1206C22×C8C22×D7911yescharacteristic
1207C4⋊Q8—791no—
1208C4⋊Q8—791no—
1209C4⋊Q8—791no—
1210C4⋊Q8—791no—
1211C4⋊Q8—1581no—
1212C4⋊Q8—1581no—
1213C4⋊Q8—1581no—
1214#126—1581no—
1215#126—1581no—
1216#126—1581no—
1217#126—1581no—
1218#126—1581no—
1219#126—1581no—
1220#126—1581no—
1221#125—791no—
1222#125—1581no—
1223#125—1581no—
1224#125—1581no—
1225#125—1581no—
1226#124—791no—
1227#124—791no—
1228#124—791no—
1229#124—1581no—
1230#124—1581no—
1231#124—1581no—
1232#124—1581no—
1233#124—1581no—
1234#124—1581no—
1235#123—791no—
1236#123—791no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240#123—1581no—
1241#123—1581no—
1242#123—1581no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262C22⋊Q8—21no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8C22×D7911yescharacteristic
1290C22⋊Q8C22×D7911yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—791no—
1295#121—791no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121C22×D7911yescharacteristic
1312#121C22×D7911yescharacteristic
1313#120—791no—
1314#120—791no—
1315#120—1581no—
1316#120—1581no—
1317#120—1581no—
1318#120—1581no—
1319#120—1581no—
1320#120—1581no—
1321C4×Q8—791no—
1322C4×Q8—791no—
1323C4×Q8—791no—
1324C4×Q8—1581no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—791no—
1329C4×D4—791no—
1330C4×D4—791no—
1331C4×D4—791no—
1332C4×D4—791no—
1333C4×D4—791no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345#117—791no—
1346#117—791no—
1347#117—791no—
1348#117—791no—
1349#117—1581no—
1350C2×C4⋊C4—791no—
1351C2×C4⋊C4—1581no—
1352C2×C4⋊C4—1581no—
1353C2×C4⋊C4—1581no—
1354C2×C4⋊C4—1581no—
1355C2×C4⋊C4—1581no—
1356C2×C4⋊C4—1581no—
1357C2×C4⋊C4C22×D7911yescharacteristic
1358C2×C22⋊C4—1581no—
1359C2×C22⋊C4—1581no—
1360C2×C22⋊C4—1581no—
1361C2×C22⋊C4—1581no—
1362C2×C22⋊C4—1581no—
1363C2×C22⋊C4—1581no—
1364C2×C22⋊C4—1581no—
1365#107—791no—
1366#107—791no—
1367#107—791no—
1368#107—791no—
1369#106—791no—
1370#106—791no—
1371#106—791no—
1372#106—791no—
1373C4⋊C8—791no—
1374C4⋊C8—791no—
1375C4⋊C8—791no—
1376C4⋊C8—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103C22×D7911yescharacteristic
1394#103C22×D7911yescharacteristic
1395#102—791no—
1396#102—791no—
1397#102—791no—
1398#102—791no—
1399#102—791no—
1400#102—791no—
1401#102—791no—
1402#102—791no—
1403#102C22×D7911yescharacteristic
1404#102C22×D7911yescharacteristic
1405#102C22×D7911yescharacteristic
1406#102C22×D7911yescharacteristic
1407#102C22×D7911yescharacteristic
1408#102C22×D7911yescharacteristic
1409C22⋊C8—791no—
1410C22⋊C8—791no—
1411C22⋊C8—791no—
1412C22⋊C8—791no—
1413C22⋊C8—791no—
1414C22⋊C8—791no—
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8C22×D7911yescharacteristic
1418C22⋊C8C22×D7911yescharacteristic
1419C22⋊C8C22×D7911yescharacteristic
1420C22⋊C8C22×D7911yescharacteristic
1421#97—791no—
1422#97—791no—
1423C4×C8—791no—
1424C4×C8—791no—
1425C24—21no—
1426C24—21no—
1427C24—21no—
1428C24—791no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—3164no—
1441#41—3164no—
1442#41—3161no—
1443#41—3161no—
1444#41—3161no—
1445#41—3161no—
1446#41—3161no—
1447#41—3161no—
1448#41—1582no—
1449#41—1582no—
1450#41—1582no—
1451#41—1582no—
1452C2×Q8—3161no—
1453C2×Q8—3161no—
1454C2×Q8—3161no—
1455C2×Q8—3161no—
1456C2×Q8—3161no—
1457C2×Q8—3161no—
1458C2×Q8—791no—
1459C2×Q8—791no—
1460C2×Q8—791no—
1461C2×Q8—791no—
1462C2×Q8—1581no—
1463C2×Q8—1581no—
1464C2×Q8—1581no—
1465C2×Q8—1581no—
1466C2×Q8D4×D7911yescharacteristic
1467C2×Q8C23×D7911yescharacteristic
1468C2×Q8C23×D7911yescharacteristic
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—3164no—
1488C2×D4—791no—
1489C2×D4—791no—
1490C2×D4—791no—
1491C2×D4—791no—
1492C2×D4—1581no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4D4×D7911yescharacteristic
1501C2×D4D4×D7911yescharacteristic
1502C2×D4D4×D7911yescharacteristic
1503C2×D4C23×D7911yescharacteristic
1504C2×D4C23×D7911yescharacteristic
1505C2×D4C23×D7911yescharacteristic
1506C2×D4C23×D7911yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—3161no—
1513C22×C4—3161no—
1514C22×C4—3164no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—791no—
1520C22×C4—1581no—
1521C22×C4—1581no—
1522C22×C4—1581no—
1523C22×C4—1581no—
1524C22×C4—1581no—
1525C22×C4—1581no—
1526C22×C4—1581no—
1527C22×C4—1581no—
1528C22×C4—1581no—
1529C22×C4—1581no—
1530C22×C4—1581no—
1531C22×C4—1581no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4C23×D7911yescharacteristic
1535C22×C4C23×D7911yescharacteristic
1536C22×C4C23×D7911yescharacteristic
1537Q16—41no—
1538Q16—3161no—
1539Q16—3161no—
1540Q16—3161no—
1541Q16—3161no—
1542Q16—3161no—
1543Q16—3161no—
1544Q16—3161no—
1545Q16—3161no—
1546SD16—22no—
1547SD16—22no—
1548SD16—41no—
1549SD16—41no—
1550SD16—3161no—
1551SD16—3161no—
1552SD16—3161no—
1553SD16—3161no—
1554SD16—1582no—
1555SD16—1582no—
1556SD16—1582no—
1557SD16—1582no—
1558D8—22no—
1559D8—22no—
1560D8—41no—
1561M16—41no—
1562M16—3161no—
1563M16—3161no—
1564M16—3161no—
1565C2×C8—41no—
1566C2×C8—3161no—
1567C2×C8—3161no—
1568C2×C8—3161no—
1569C2×C8—791no—
1570C2×C8—791no—
1571C2×C8—791no—
1572C2×C8—791no—
1573C2×C8C23×D7911yescharacteristic
1574C2×C8C23×D7911yescharacteristic
1575C2×C8C23×D7911yescharacteristic
1576C2×C8C23×D7911yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—791no—
1581C4⋊C4—791no—
1582C4⋊C4—791no—
1583C4⋊C4—791no—
1584C4⋊C4—791no—
1585C4⋊C4—791no—
1586C4⋊C4—791no—
1587C4⋊C4—791no—
1588C4⋊C4—791no—
1589C4⋊C4—791no—
1590C4⋊C4—1581no—
1591C4⋊C4—1581no—
1592C4⋊C4—1581no—
1593C4⋊C4—1581no—
1594C4⋊C4—1581no—
1595C4⋊C4—1581no—
1596C4⋊C4—1581no—
1597C4⋊C4—1581no—
1598C4⋊C4—1581no—
1599C4⋊C4—1581no—
1600C4⋊C4—1581no—
1601C4⋊C4—1581no—
1602C4⋊C4—1581no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4C23×D7911yescharacteristic
1617C4⋊C4C23×D7911yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—791no—
1623C22⋊C4—791no—
1624C22⋊C4—791no—
1625C22⋊C4—791no—
1626C22⋊C4—791no—
1627C22⋊C4—791no—
1628C22⋊C4—791no—
1629C22⋊C4—791no—
1630C22⋊C4—791no—
1631C22⋊C4—791no—
1632C22⋊C4—1581no—
1633C22⋊C4—1581no—
1634C22⋊C4—1581no—
1635C22⋊C4—1581no—
1636C22⋊C4—1581no—
1637C22⋊C4—1581no—
1638C22⋊C4—1581no—
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C42—791no—
1663C42—791no—
1664C42—1581no—
1665C42—1581no—
1666C42—1581no—
1667C42—1581no—
1668C42—1581no—
1669C42—1581no—
1670C23—24no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—3161no—
1684C23—3161no—
1685C23—3161no—
1686C23—791no—
1687C23—791no—
1688C23C2×D4×D7911yescharacteristic
1689C23C2×D4×D7911yescharacteristic
1690C23C2×D4×D7911yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—41no—
1696Q8—3162no—
1697Q8—6321no—
1698Q8—6321no—
1699Q8—6321no—
1700Q8—1581no—
1701Q8—1581no—
1702Q8—1581no—
1703Q8—1581no—
1704Q8—1581no—
1705Q8—1581no—
1706Q8—1581no—
1707Q8—1581no—
1708D4—24no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—3162no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3162no—
1731D4—3161no—
1732D4—3161no—
1733D4—3161no—
1734D4—3161no—
1735D4—6321no—
1736D4—6321no—
1737D4—6321no—
1738D4#1457920612yes—
1739D4#1457920612yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—3161no—
1756C2×C4—3161no—
1757C2×C4—3162no—
1758C2×C4—3162no—
1759C2×C4—3162no—
1760C2×C4—3162no—
1761C2×C4—3162no—
1762C2×C4—3161no—
1763C2×C4—791no—
1764C2×C4—791no—
1765C2×C4—791no—
1766C2×C4—791no—
1767C2×C4—791no—
1768C2×C4—791no—
1769C2×C4—6321no—
1770C2×C4—6321no—
1771C2×C4—6321no—
1772C2×C4—6321no—
1773C2×C4—6321no—
1774C2×C4—6321no—
1775C2×C4—6321no—
1776C2×C4—6321no—
1777C2×C4—6321no—
1778C2×C4—1581no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4C2×D4×D7911yescharacteristic
1791C2×C4C2×D4×D7911yescharacteristic
1792C2×C4C2×D4×D7911yescharacteristic
1793C2×C4C24×D7911yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1581no—
1799C8—1581no—
1800C8—1581no—
1801C8—1581no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—22no—
1806C22—22no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—84no—
1824C22—162no—
1825C22—162no—
1826C22—6322no—
1827C22—1581no—
1828C22—1581no—
1829C22—1581no—
1830C22—1581no—
1831C22—1581no—
1832C22—1581no—
1833C22C22×D4×D7911yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—3161no—
1842C4—3161no—
1843C4—3161no—
1844C4—3161no—
1845C4—3161no—
1846C4—3161no—
1847C4—3161no—
1848C4—3161no—
1849C4—1581no—
1850C4—1581no—
1851C4—1581no—
1852C4—1581no—
1853C4—1581no—
1854C4—1581no—
1855C4C2×#1457920611yescharacteristic
1856C4C2×#1457920611yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—42no—
1862C2—81no—
1863C2—81no—
1864C2—3161no—
1865C2—3161no—
1866C2#2377702911yescharacteristic
1867C2#2377816811yescharacteristic
1868C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3012C2
socleC22×C79C23×D4
hypercenter#3012D79
hypocenterC79#61613
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #23777681C2semidirect
2. #23777040C2semidirect
3. #23775712C2semidirect
4. #23775605C2semidirect
5. #23775497C2semidirect
6. #23775477C2semidirect
7. #23775429C2semidirect
8. #23775380C2semidirect
9. #23775310C2semidirect
10. #23775231C2semidirect
11. #23775116C2semidirect
12. #23775111C2semidirect
13. #23775044C2semidirect
14. #23775031C2semidirect
15. #23774955C2semidirect
16. #23774953C2semidirect
17. #23774919C2semidirect
18. #23774914C2semidirect
19. #23774505C2semidirect
20. #23774481C2semidirect
21. #23774295C2semidirect
22. #23774276C2semidirect
23. #23774239C2semidirect
24. #23774179C2semidirect
25. #23773646C2semidirect
26. #23773577C2semidirect
27. #23772677C2semidirect
28. #23772655C2semidirect
29. #23772613C2semidirect
30. #23772443C2semidirect
31. C79×#3012C2semidirect
33. C2×#14579191C22semidirect
34. C2×#14579190C22semidirect
35. C2×#14579190C22semidirect
36. C2×#14579180C22semidirect
37. C2×#14579180C22semidirect
38. C22×#11929612C22semidirect
41. #19099284C22semidirect
42. #19099268C22semidirect
45. #19099260C22semidirect
46. #19099248C22semidirect
47. #19099226C22semidirect
48. #19099220C22semidirect
49. #19099219C22semidirect
56. #19099212C22semidirect
64. #19099180C22semidirect
65. #19099173C22semidirect
74. #19099073C22semidirect
79. C22⋊Q8×D79C22semidirect
81. #19098954C22semidirect
82. #19098954C22semidirect
83. #19098946C22semidirect
84. #19098941C22semidirect
85. #19098930C22semidirect
86. #19098921C22semidirect
87. #19098916C22semidirect
88. #19098912C22semidirect
89. #19098905C22semidirect
90. #19098905C22semidirect
91. #19098905C22semidirect
92. #19098905C22semidirect
93. #19098902C22semidirect
94. #19098901C22semidirect
95. #19098898C22semidirect
96. #19098893C22semidirect
97. #19098892C22semidirect
98. #19098885C22semidirect
99. #19098884C22semidirect
100. #19098875C22semidirect
101. #19098865C22semidirect
102. #19098861C22semidirect
103. #19098851C22semidirect
104. #19098841C22semidirect
105. #19098821C22semidirect
106. #19098821C22semidirect
107. #19098820C22semidirect
108. #19098819C22semidirect
109. #19098813C22semidirect
110. #19098808C22semidirect
111. #19098807C22semidirect
112. #19098806C22semidirect
113. #19098804C22semidirect
114. #19098804C22semidirect
115. #19098803C22semidirect
116. #19098802C22semidirect
117. #19098801C22semidirect
118. #19098791C22semidirect
119. #19098790C22semidirect
120. #19098789C22semidirect
121. #19098784C22semidirect
122. #19098784C22semidirect
123. #19098783C22semidirect
124. #19098776C22semidirect
125. #19098776C22semidirect
126. #19098776C22semidirect
127. #19098772C22semidirect
128. #19098772C22semidirect
129. #19098771C22semidirect
130. #19098766C22semidirect
131. #19098766C22semidirect
132. #19098766C22semidirect
133. #19098726C22semidirect
134. #19098726C22semidirect
135. #19098726C22semidirect
136. #19098726C22semidirect
139. #19098725C22semidirect
140. #19098725C22semidirect
141. #19098725C22semidirect
142. #19098725C22semidirect
143. #19098722C22semidirect
144. #19098722C22semidirect
145. #19098722C22semidirect
146. #19098721C22semidirect
147. #19098721C22semidirect
148. #19098721C22semidirect
149. #19098721C22semidirect
150. #19098718C22semidirect
151. #19098717C22semidirect
154. #19098714C22semidirect
155. #19098714C22semidirect
156. #19098705C22semidirect
157. #19098705C22semidirect
158. #19098705C22semidirect
159. #19098701C22semidirect
160. #19098700C22semidirect
161. #19098675C22semidirect
162. #19098664C22semidirect
163. #19098660C22semidirect
164. #19098660C22semidirect
165. #19098654C22semidirect
166. #19098654C22semidirect
167. SD16×Dic79C22semidirect
168. D8×Dic79C22semidirect
169. #19098639C22semidirect
170. #19098638C22semidirect
171. #19098637C22semidirect
172. #19098634C22semidirect
173. #19098632C22semidirect
174. #19098631C22semidirect
175. C8×C22⋊D79C22semidirect
176. (C22⋊D79)⋊C8C22semidirect
177. #19098621C22semidirect
178. #19098621C22semidirect
179. #19098568C22semidirect
180. #19098561C22semidirect
181. #19098561C22semidirect
182. #19098559C22semidirect
183. #19098556C22semidirect
184. #19098556C22semidirect
186. #19098525C22semidirect
187. C22⋊C8×D79C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
190. C2×#135×C79C22semidirect
193. #452×C79C22semidirect
195. #450×C79C22semidirect
197. #449×C79C22semidirect
199. #447×C79C22semidirect
200. #417×C79C22semidirect
201. C2×#102×C79C22semidirect
961. #3012D79semidirect
966. C79#61613semidirect
972. C2×AGL(1,ℤ/8)C2×D79semidirect
975. C2×#135C2×D79semidirect
1086. #452C2×D79semidirect
1098. #450C2×D79semidirect
1103. #449C2×D79semidirect
1107. #447C2×D79semidirect
1129. #417C2×D79semidirect
1133. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237776812
#237770402
#237757122
#237756052
#237754972
#237754772
#237754292
#237753802
#237753102
#237752312
#237751162
#237751112
#237750442
#237750312
#237749552
#237749532
#237749192
#237749142
#237745052
#237744812
#237742952
#237742762
#237742392
#237741792
#237736462
#237735772
#237726772
#237726552
#237726132
#237724432
C79×#30122
#6161379