Finite Group Databasebeta

← #35181532

Subgroups — #35181532

Order 20224.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777733C211yesmaximal, characteristic, complemented
2#23777340C211yesmaximal, characteristic, complemented
3#23776483C211yesmaximal, characteristic, complemented
4#23776445C211yesmaximal, characteristic, complemented
5#23776146C211yesmaximal, characteristic, complemented
6#23776102C211yesmaximal, characteristic, complemented
7#23775548C211yesmaximal, characteristic, complemented
8#23775417C211yesmaximal, characteristic, complemented
9#23775413C211yesmaximal, characteristic, complemented
10#23775357C211yesmaximal, characteristic, complemented
11#23775231C211yesmaximal, characteristic, complemented
12#23775209C211yesmaximal, characteristic, complemented
13#23775085C211yesmaximal, characteristic, complemented
14D8×C22⋊D79C211yesmaximal, characteristic, complemented
15#23774946C211yesmaximal, characteristic, complemented
16#23774880C211yesmaximal, characteristic, complemented
17#23774880C211yesmaximal, characteristic, complemented
18#23774875C211yesmaximal, characteristic, complemented
19#23774837C211yesmaximal, characteristic, complemented
20#23774807C211yesmaximal, characteristic, complemented
21#23774752C211yesmaximal, characteristic, complemented
22#23774491C211yesmaximal, characteristic, complemented
23#23774449C211yesmaximal, characteristic, complemented
24#23774418C211yesmaximal, characteristic, complemented
25#23773641C211yesmaximal, characteristic, complemented
26#23773596C211yesmaximal, characteristic, complemented
27#23773538C211yesmaximal, characteristic, complemented
28#23772934C211yesmaximal, characteristic, complemented
29#23772898C211yesmaximal, characteristic, complemented
30#23772536C211yesmaximal, characteristic, complemented
31C2×#459×C79C211yesmaximal, characteristic, complemented
32C2×#14579185C2211yescharacteristic, complemented
33C2×#14579185C2211yescharacteristic, complemented
34C2×#14579180C2211yescharacteristic, complemented
35C2×D8×D79C2211yescharacteristic, complemented
36#19099300—21no—
37#19099300—21no—
38#19099299C2211yescharacteristic, complemented
39#19099296C2211yescharacteristic, complemented
40#19099272C2211yescharacteristic, complemented
41#19099263C2211yescharacteristic, complemented
42#19099262—21no—
43#19099248C2211yescharacteristic, complemented
44#19099242—21no—
45#19099239—21no—
46#19099233C2211yescharacteristic, complemented
47#19099233C2211yescharacteristic, complemented
48#19099214C2211yescharacteristic, complemented
49#19099208C2211yescharacteristic, complemented
50#19099207—21no—
51#19099207C2211yescharacteristic
52#19099207C2211yescharacteristic, complemented
53#19099207C2211yescharacteristic, complemented
54#19099203—21no—
55#19099198C2211yescharacteristic, complemented
56D4×C22⋊D79—21no—
57D4×C22⋊D79C2211yescharacteristic
58D4×C22⋊D79C2211yescharacteristic, complemented
59D4×C22⋊D79C2211yescharacteristic, complemented
60#19099178C2211yescharacteristic, complemented
61#19099167—21no—
62#19099167C2211yescharacteristic, complemented
63#19099167C2211yescharacteristic, complemented
64#19099164C2211yescharacteristic, complemented
65#19099155—21no—
66#19099146—21no—
67#19099126—21no—
68#19099126C2211yescharacteristic, complemented
69#19099126C2211yescharacteristic, complemented
70#19099122—21no—
71#19099122—21no—
72#19099097C2211yescharacteristic
73#19099097C2211yescharacteristic, complemented
74#19099097C2211yescharacteristic, complemented
75#19099074—21no—
76C2×#14579144—21no—
77#19099042C2211yescharacteristic, complemented
78#19099035C2211yescharacteristic, complemented
79#19098951C2211yescharacteristic, complemented
80#19098951C2211yescharacteristic, complemented
81#19098950C2211yescharacteristic, complemented
82#19098950C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic, complemented
84#19098938C2211yescharacteristic, complemented
85#19098927C2211yescharacteristic, complemented
86#19098927C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098908C2211yescharacteristic, complemented
91#19098893C2211yescharacteristic, complemented
92#19098886C2211yescharacteristic, complemented
93#19098885C2211yescharacteristic, complemented
94#19098880C2211yescharacteristic, complemented
95#19098876C2211yescharacteristic, complemented
96#19098875C2211yescharacteristic, complemented
97#19098871C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098864C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098863C2211yescharacteristic, complemented
104#19098861C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic, complemented
106#19098841C2211yescharacteristic, complemented
107#19098815C2211yescharacteristic, complemented
108#19098813C2211yescharacteristic, complemented
109#19098813C2211yescharacteristic, complemented
110#19098808C2211yescharacteristic, complemented
111#19098804C2211yescharacteristic, complemented
112#19098799C2211yescharacteristic
113#19098798C2211yescharacteristic, complemented
114#19098796C2211yescharacteristic, complemented
115#19098796C2211yescharacteristic, complemented
116#19098792C2211yescharacteristic, complemented
117#19098792C2211yescharacteristic, complemented
118#19098791C2211yescharacteristic, complemented
119#19098786C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098779C2211yescharacteristic, complemented
124#19098778C2211yescharacteristic, complemented
125#19098778C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098776C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098762C2211yescharacteristic, complemented
132#19098760C2211yescharacteristic, complemented
133#19098760C2211yescharacteristic, complemented
134#19098757C2211yescharacteristic, complemented
135#19098756C2211yescharacteristic, complemented
136#19098756C2211yescharacteristic, complemented
137#19098756C2211yescharacteristic, complemented
138#19098756C2211yescharacteristic, complemented
139#19098755C2211yescharacteristic, complemented
140#19098755C2211yescharacteristic, complemented
141#19098726C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098714C2211yescharacteristic, complemented
144#19098714C2211yescharacteristic, complemented
145#19098714C2211yescharacteristic, complemented
146#19098709C2211yescharacteristic, complemented
147#19098705C2211yescharacteristic, complemented
148#19098705C2211yescharacteristic, complemented
149#19098705C2211yescharacteristic, complemented
150#19098705C2211yescharacteristic, complemented
151#19098698C2211yescharacteristic, complemented
152#19098697C2211yescharacteristic
153#19098697C2211yescharacteristic, complemented
154#19098697C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098692C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098675C2211yescharacteristic, complemented
163#19098673C2211yescharacteristic, complemented
164#19098673C2211yescharacteristic, complemented
165#19098672C2211yescharacteristic, complemented
166#19098663C2211yescharacteristic, complemented
167#19098663C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098654C2211yescharacteristic, complemented
170D8×Dic79C2211yescharacteristic, complemented
171D8×Dic79C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098633C2211yescharacteristic, complemented
176#19098633C2211yescharacteristic, complemented
177C8×C22⋊D79C2211yescharacteristic, complemented
178C8×C22⋊D79C2211yescharacteristic, complemented
179#19098623C2211yescharacteristic, complemented
180#19098623C2211yescharacteristic, complemented
181#19098620C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098588C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098561C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C22×D8×C79C2211yescharacteristic, complemented
189C22×D8×C79C2211yescharacteristic, complemented
190C2×#127×C79C2211yescharacteristic, complemented
191C2×C4×D4×C79C2211yescharacteristic, complemented
192#459×C79C2211yescharacteristic
193#459×C79C2211yescharacteristic, complemented
194#459×C79C2211yescharacteristic, complemented
195#459×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic, complemented
199#459×C79C2211yescharacteristic, complemented
200C2×C4⋊C8×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C2×#11929623C2311yescharacteristic
207C2×#11929623C2311yescharacteristic
208C22×C22⋊D79—21no—
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215#14579185—42no—
216#14579185—42no—
217#14579180—42no—
218C2×Dic316C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×D632C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234D8×D79—42no—
235C2×#11929607C2311yescharacteristic
236C2×#11929607C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579157—21no—
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579155—21no—
246#14579155—21no—
247#14579155D411yescharacteristic
248#14579155D411yescharacteristic
249#14579154—21no—
250#14579154—21no—
251#14579153D411yescharacteristic
252#14579153C2311yescharacteristic
253#14579153C2311yescharacteristic
254#14579152C2311yescharacteristic
255#14579151—21no—
256#14579149D411yescharacteristic
257#14579149C2311yescharacteristic
258#14579149C2311yescharacteristic
259#14579148—21no—
260#14579148C2311yescharacteristic
261#14579148C2311yescharacteristic
262#14579148C2311yescharacteristic
263#14579147—21no—
264#14579147—21no—
265#14579146—21no—
266#14579145—21no—
267#14579144—21no—
268#14579144—21no—
269#14579144—21no—
270#14579144—21no—
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144D411yescharacteristic
276#14579144D411yescharacteristic
277#14579143—21no—
278#14579143—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579141C2311yescharacteristic
289#14579140—21no—
290#14579140—21no—
291#14579140D411yescharacteristic
292#14579140C2311yescharacteristic
293#14579140C2311yescharacteristic
294#14579139—21no—
295#14579138—21no—
296#14579138—21no—
297#14579136C2311yescharacteristic
298#14579135—21no—
299#14579135—21no—
300#14579135D411yescharacteristic
301#14579135C2311yescharacteristic
302#14579135C2311yescharacteristic
303#14579134—21no—
304#14579134—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132C2311yescharacteristic
326#14579132C2311yescharacteristic
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579131—21no—
332#14579130—21no—
333#14579130—21no—
334#14579130—21no—
335#14579130—21no—
336#14579130—21no—
337#14579130—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347C4×Dic158C2311yescharacteristic
348C4×Dic158C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350#14579126C2311yescharacteristic
351C4×D316C2311yescharacteristic
352C4×D316C2311yescharacteristic
353C4×D316C2311yescharacteristic
354D4×Dic79—21no—
355D4×Dic79—21no—
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361D4×Dic79C2311yescharacteristic
362#14579123C2311yescharacteristic
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79C2311yescharacteristic
370C4×C22⋊D79C2311yescharacteristic
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373#14579120—21no—
374#14579119C2311yescharacteristic
375#14579118—21no—
376#14579118—21no—
377#14579118C2311yescharacteristic
378#14579118C2311yescharacteristic
379#14579117—21no—
380C2×Dic79⋊C4—21no—
381C2×Dic79⋊C4—21no—
382C4⋊C4×D79C2311yescharacteristic
383C2×C22⋊Dic79—21no—
384C2×C22⋊Dic79—21no—
385C2×C22⋊Dic79—21no—
386C2×(C2×D79)⋊C4—21no—
387C2×(C2×D79)⋊C4—21no—
388C22⋊C4×D79—21no—
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428C22⋊(C79⋊C8)C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433#14579072C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C22×D4×C79—21no—
440C22×D4×C79—21no—
441C22×D4×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C23×C4×C79—21no—
445C2×D8×C79—42no—
446C2×D8×C79—42no—
447C2×D8×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C2×D8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457#127×C79—21no—
458#127×C79—21no—
459#127×C79C2311yescharacteristic
460#127×C79C2311yescharacteristic
461#127×C79C2311yescharacteristic
462#127×C79C2311yescharacteristic
463C4×D4×C79—21no—
464C4×D4×C79—21no—
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469C2×C4⋊C4×C79C2311yescharacteristic
470C2×C22⋊C4×C79—21no—
471C2×C42×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929624—82no—
488#11929623—22no—
489#11929623—41no—
490#11929623—41no—
491#11929623—41no—
492#11929623—41no—
493#11929623—41no—
494#11929623—82no—
495C2×Dic158—21no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×D316—21no—
500C2×D316C2×D411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
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—82no—
524C2×C22⋊D79—82no—
525C2×C22⋊D79—82no—
526C2×C22⋊D79C2×D411yescharacteristic
527C2×C22⋊D79C2×D411yescharacteristic
528D4×D79—22no—
529D4×D79—41no—
530D4×D79—41no—
531D4×D79—41no—
532D4×D79—41no—
533D4×D79—41no—
534D4×D79—82no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79C2411yescharacteristic
549C2×C4×D79C2411yescharacteristic
550Dic316—41no—
551#11929613—41no—
552#11929613—41no—
553#11929612—22no—
554#11929612—41no—
555#11929612—41no—
556#11929612—41no—
557#11929612—41no—
558#11929612—41no—
559D632—41no—
560#11929609—22no—
561#11929609—41no—
562#11929609—41no—
563#11929609—41no—
564#11929609—41no—
565#11929609—41no—
566#11929607—41no—
567#11929607—41no—
568C2×C79⋊C8C2411yescharacteristic
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C8×D79—41no—
573C8×D79—41no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79C2×D411yescharacteristic
577C4⋊Dic79C2×D411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
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⋊Dic79C2×D411yescharacteristic
623C22⋊Dic79C2×D411yescharacteristic
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4C2×D411yescharacteristic
637(C2×D79)⋊C4C2×D411yescharacteristic
638(C2×D79)⋊C4C2×D411yescharacteristic
639(C2×D79)⋊C4C2×D411yescharacteristic
640(C2×D79)⋊C4C2×D411yescharacteristic
641(C2×D79)⋊C4C2×D411yescharacteristic
642(C2×D79)⋊C4C2×D411yescharacteristic
643(C2×D79)⋊C4C2×D411yescharacteristic
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C24×C79—21no—
651C24×C79—21no—
652C24×C79—21no—
653C2×D4×C79—22no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—41no—
666C2×D4×C79—41no—
667C2×D4×C79—41no—
668C2×D4×C79—41no—
669C2×D4×C79—41no—
670C2×D4×C79—82no—
671C2×D4×C79—82no—
672C2×D4×C79C2411yescharacteristic
673C2×D4×C79C2411yescharacteristic
674C2×D4×C79C2411yescharacteristic
675C2×D4×C79C2411yescharacteristic
676C2×D4×C79C2411yescharacteristic
677C2×D4×C79C2411yescharacteristic
678C22×C4×C79—21no—
679C22×C4×C79—21no—
680C22×C4×C79—21no—
681C22×C4×C79—21no—
682C22×C4×C79—21no—
683C22×C4×C79—82no—
684C22×C4×C79C2×D411yescharacteristic
685C22×C4×C79C2×D411yescharacteristic
686C22×C4×C79C2411yescharacteristic
687D8×C79—22no—
688D8×C79—22no—
689D8×C79—22no—
690D8×C79—22no—
691D8×C79—41no—
692D8×C79—41no—
693D8×C79—41no—
694D8×C79—41no—
695C2×C8×C79—41no—
696C2×C8×C79—41no—
697C2×C8×C79C2411yescharacteristic
698C2×C8×C79C2411yescharacteristic
699C2×C8×C79C2411yescharacteristic
700C2×C8×C79C2411yescharacteristic
701C4⋊C4×C79—21no—
702C4⋊C4×C79C2411yescharacteristic
703C4⋊C4×C79C2411yescharacteristic
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C42×C79C2×D411yescharacteristic
709C42×C79C2×D411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—21no—
717C23×C79—21no—
718C23×C79—42no—
719C23×C79—42no—
720C23×C79—42no—
721C23×C79—42no—
722C23×C79—81no—
723C23×C79—81no—
724C23×C79—81no—
725C23×C79—81no—
726C23×C79—81no—
727C23×C79C22×D411yescharacteristic
728C22×D79—21no—
729C22×D79—21no—
730C22×D79—42no—
731C22×D79—81no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79C22×D411yescharacteristic
740C22×D79C22×D411yescharacteristic
741D4×C79—21no—
742D4×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—42no—
753D4×C79—42no—
754D4×C79—42no—
755D4×C79—81no—
756D4×C79—81no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79—81no—
760D4×C79—81no—
761D4×C79—81no—
762D4×C79—81no—
763D4×C79H(5,𝔽2)12yes—
764C2×C4×C79—22no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—41no—
770C2×C4×C79—42no—
771C2×C4×C79—81no—
772C2×C4×C79—81no—
773C2×C4×C79—81no—
774C2×C4×C79—81no—
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C22×D411yescharacteristic
777C2×C4×C79C22×D411yescharacteristic
778C2×C4×C79C22×D411yescharacteristic
779C2×C4×C79C22×D411yescharacteristic
780C2×C4×C79C2511yescharacteristic
781C22⋊D79—22no—
782C22⋊D79—22no—
783C22⋊D79—42no—
784C22⋊D79—42no—
785C22⋊D79—42no—
786C22⋊D79—42no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C22⋊D79—81no—
790C22⋊D79—81no—
791C22⋊D79—81no—
792C22⋊D79—81no—
793C22⋊D79—81no—
794C22⋊D79—81no—
795C22⋊D79—81no—
796C22⋊D79—81no—
797C22⋊D79—81no—
798C22⋊D79—81no—
799C22⋊D79—81no—
800C22⋊D79—81no—
801C22⋊D79—81no—
802C22⋊D79—81no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—42no—
810C2×Dic79—81no—
811C2×Dic79—81no—
812C2×Dic79—81no—
813C2×Dic79—81no—
814C2×Dic79—81no—
815C2×Dic79—81no—
816C2×Dic79—81no—
817C2×Dic79—81no—
818C2×Dic79C22×D411yescharacteristic
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821C2×Dic79C22×D411yescharacteristic
822C2×Dic79C22×D411yescharacteristic
823C2×Dic79C22×D411yescharacteristic
824D316—21no—
825D316—21no—
826D316—21no—
827D316—21no—
828D316—41no—
829D316—81no—
830C4×D79—21no—
831C4×D79—21no—
832C4×D79—21no—
833C4×D79—21no—
834C4×D79—42no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838Dic158—21no—
839Dic158—21no—
840Dic158—21no—
841Dic158—21no—
842Dic158—41no—
843Dic158—81no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—22no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—41no—
871C22×C79—41no—
872C22×C79—84no—
873C22×C79—162no—
874C22×C79—162no—
875C22×C79#57612yes—
876C22×C79C23×D411yescharacteristic
877C2×D79—21no—
878C2×D79—21no—
879C2×D79—21no—
880C2×D79—21no—
881C2×D79—21no—
882C2×D79—21no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—41no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—21no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79C2×H(5,𝔽2)11yescharacteristic
900C4×C79#58511yescharacteristic
901Dic79—21no—
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—41no—
908Dic79—41no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—42no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79—81no—
921C2×C79#348811yescharacteristic
922C2×C79C2×#57611yescharacteristic
923C2×C79#358511yescharacteristic
924D79—41no—
925D79—41no—
926D79—81no—
927D79—81no—
928#3543—791no—
929#3513—791no—
930#3403—791no—
931#3399—791no—
932#3370—791no—
933#3366—791no—
934#3318—791no—
935#3310—791no—
936#3309—791no—
937#3306—791no—
938#3296—791no—
939#3294—791no—
940#3280—791no—
941D4×D8—791no—
942#3268—791no—
943#3264—791no—
944#3264—791no—
945#3264—791no—
946#3259—791no—
947#3257—791no—
948#3250—791no—
949#3224—791no—
950#3220—791no—
951#3217—791no—
952#3122—791no—
953#3119—791no—
954#3114—791no—
955#3045—791no—
956#3041—791no—
957C2×#459D7911yescharacteristic, complemented
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C2×#135—791no—
963C22×D8—791no—
964C22×D8C2×D7911yescharacteristic, complemented
965C22×D8C2×D7911yescharacteristic, complemented
966#560—1581no—
967#560—1581no—
968#559—791no—
969#559—791no—
970#554—791no—
971#553—791no—
972#553—1581no—
973#552—791no—
974#551—1581no—
975#551—1581no—
976#550—791no—
977#550—791no—
978#547—791no—
979#546—791no—
980#546—791no—
981#546—791no—
982#546—791no—
983#546—1581no—
984#546—1581no—
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—1581no—
990#542—791no—
991#540—791no—
992#540—791no—
993#540—791no—
994#540—1581no—
995#539—1581no—
996#538—1581no—
997#535—791no—
998#535—791no—
999#535—1581no—
1000#534—1581no—
1001#534—1581no—
1002C2×#127C2×D7911yescharacteristic, complemented
1003#529—791no—
1004#529—791no—
1005#529—791no—
1006#525—1581no—
1007C2×#123—1581no—
1008#520—791no—
1009#518—791no—
1010C2×C4×D4C2×D7911yescharacteristic, complemented
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#495—791no—
1016#493—791no—
1017#490—791no—
1018#490—791no—
1019#490—791no—
1020#489—791no—
1021#488—791no—
1022#486—791no—
1023#483—791no—
1024#482—791no—
1025#482—791no—
1026#481—791no—
1027#480—791no—
1028#480—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#478—791no—
1034#478—791no—
1035#478—791no—
1036#478—791no—
1037#476—791no—
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
1042#468—791no—
1043#467—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#465—791no—
1049#465—791no—
1050#465—791no—
1051#464—791no—
1052#464—791no—
1053#464—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463—791no—
1063#460—791no—
1064#460—791no—
1065#460—791no—
1066#459—791no—
1067#459—791no—
1068#459—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459C2×D7911yescharacteristic
1074#459C2×D7911yescharacteristic, complemented
1075#459C2×D7911yescharacteristic, complemented
1076#459C2×D7911yescharacteristic, complemented
1077#459C2×D7911yescharacteristic, complemented
1078#459C2×D7911yescharacteristic, complemented
1079#459C2×D7911yescharacteristic, complemented
1080#459C2×D7911yescharacteristic, complemented
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450—791no—
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#449—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447—791no—
1098#447—791no—
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#440—791no—
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×D8—791no—
1111C4×D8—791no—
1112C4×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435—791no—
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8C2×D7911yescharacteristic, complemented
1125#418—791no—
1126#417—791no—
1127#416—791no—
1128C2×#102—791no—
1129C2×#102C2×D7911yescharacteristic, complemented
1130C2×#102C2×D7911yescharacteristic, complemented
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—791no—
1134C2×#41—1581no—
1135C2×#41—1581no—
1136C22×D4—21no—
1137C22×D4—21no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—1581no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4C22×D7911yescharacteristic
1146C22×D4C22×D7911yescharacteristic
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—21no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151#135—3162no—
1152C2×Q16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16—791no—
1159C2×SD16—791no—
1160C2×SD16—791no—
1161C2×D8—42no—
1162C2×D8—42no—
1163C2×D8—3162no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8C22×D7911yescharacteristic
1172C2×D8C22×D7911yescharacteristic
1173C2×D8C22×D7911yescharacteristic
1174C2×D8C22×D7911yescharacteristic
1175C2×D8C22×D7911yescharacteristic
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8C22×D7911yescharacteristic
1184C22×C8C22×D7911yescharacteristic
1185C4⋊Q8—791no—
1186#127—21no—
1187#127—21no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—1581no—
1192#127C22×D7911yescharacteristic
1193#127C22×D7911yescharacteristic
1194#127C22×D7911yescharacteristic
1195#127C22×D7911yescharacteristic
1196#126—791no—
1197#126—791no—
1198#126—1581no—
1199#126—1581no—
1200#126—1581no—
1201#126—1581no—
1202#126—1581no—
1203#125—791no—
1204#125—791no—
1205#125—791no—
1206#125—791no—
1207#125—1581no—
1208#124—791no—
1209#124—791no—
1210#124—791no—
1211#124—791no—
1212#124—791no—
1213#124—791no—
1214#124—1581no—
1215#124—1581no—
1216#124—1581no—
1217#123—791no—
1218#123—791no—
1219#123—1581no—
1220#123—1581no—
1221#123—1581no—
1222#123—1581no—
1223#123—1581no—
1224#123—1581no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8—1581no—
1249#121—791no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—791no—
1258#121—791no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121—1581no—
1280#121—1581no—
1281#121—1581no—
1282#121—1581no—
1283#120—1581no—
1284#120—1581no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8—791no—
1302C4×Q8—791no—
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—791no—
1317C4×D4—1581no—
1318C4×D4—1581no—
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×D4C22×D7911yescharacteristic
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—791no—
1332#117—791no—
1333#117—791no—
1334#117—1581no—
1335#117—1581no—
1336#117—1581no—
1337#117—1581no—
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—1581no—
1340C2×C4⋊C4—1581no—
1341C2×C4⋊C4C22×D7911yescharacteristic
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42C22×D7911yescharacteristic
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107—791no—
1354#106—791no—
1355#106—791no—
1356#106—791no—
1357#106—791no—
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8C22×D7911yescharacteristic
1365C4⋊C8C22×D7911yescharacteristic
1366C4⋊C8C22×D7911yescharacteristic
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102C22×D7911yescharacteristic
1393#102C22×D7911yescharacteristic
1394#102C22×D7911yescharacteristic
1395#102C22×D7911yescharacteristic
1396#102C22×D7911yescharacteristic
1397#102C22×D7911yescharacteristic
1398#102C22×D7911yescharacteristic
1399#102C22×D7911yescharacteristic
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8—791no—
1405C22⋊C8—791no—
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97—791no—
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—21no—
1414C24—21no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—3161no—
1419#41—3161no—
1420#41—3161no—
1421#41—3161no—
1422#41—3161no—
1423#41—6322no—
1424#41—6322no—
1425#41—1582no—
1426C2×Q8—791no—
1427C2×Q8—791no—
1428C2×Q8—791no—
1429C2×Q8—1581no—
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—41no—
1446C2×D4—41no—
1447C2×D4—82no—
1448C2×D4—82no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—3161no—
1452C2×D4—3161no—
1453C2×D4—3161no—
1454C2×D4—791no—
1455C2×D4—791no—
1456C2×D4—791no—
1457C2×D4—791no—
1458C2×D4—791no—
1459C2×D4—6322no—
1460C2×D4—6322no—
1461C2×D4—6322no—
1462C2×D4—6322no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1582no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4C23×D7911yescharacteristic
1486C2×D4C23×D7911yescharacteristic
1487C2×D4C23×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—82no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4—1581no—
1511C22×C4—1581no—
1512C22×C4D4×D7911yescharacteristic
1513C22×C4D4×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—3161no—
1517SD16—3161no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—1582no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—22no—
1528D8—41no—
1529D8—41no—
1530D8—41no—
1531D8—41no—
1532D8—3161no—
1533D8—3161no—
1534D8—3161no—
1535D8—3161no—
1536D8—3161no—
1537D8—3161no—
1538D8—1582no—
1539M16—3161no—
1540M16—3161no—
1541C2×C8—41no—
1542C2×C8—41no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8C23×D7911yescharacteristic
1550C2×C8C23×D7911yescharacteristic
1551C2×C8C23×D7911yescharacteristic
1552C2×C8C23×D7911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—791no—
1555C4⋊C4—791no—
1556C4⋊C4—791no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—791no—
1562C4⋊C4—791no—
1563C4⋊C4—791no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—791no—
1567C4⋊C4—791no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4—1581no—
1582C4⋊C4C23×D7911yescharacteristic
1583C4⋊C4C23×D7911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—791no—
1589C22⋊C4—791no—
1590C22⋊C4—791no—
1591C22⋊C4—791no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—1581no—
1599C22⋊C4—1581no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
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⋊C4—1581no—
1630C42—791no—
1631C42—791no—
1632C42—1581no—
1633C42—1581no—
1634C42—1581no—
1635C42—1581no—
1636C42D4×D7911yescharacteristic
1637C42D4×D7911yescharacteristic
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—42no—
1647C23—42no—
1648C23—42no—
1649C23—42no—
1650C23—81no—
1651C23—81no—
1652C23—81no—
1653C23—81no—
1654C23—81no—
1655C23—3162no—
1656C23—791no—
1657C23—791no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—6321no—
1664C23—6321no—
1665C23—6321no—
1666C23—1581no—
1667C23—1581no—
1668C23C2×D4×D7911yescharacteristic
1669Q8—3161no—
1670Q8—6321no—
1671Q8—1581no—
1672Q8—1581no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—3161no—
1698D4—3162no—
1699D4—3162no—
1700D4—3162no—
1701D4—3162no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—6321no—
1716D4—6321no—
1717D4—6321no—
1718D4—6321no—
1719D4—1582no—
1720D4—1582no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4#1457920612yes—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—41no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—3162no—
1738C2×C4—3162no—
1739C2×C4—791no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—6321no—
1746C2×C4—6321no—
1747C2×C4—6321no—
1748C2×C4—6321no—
1749C2×C4—6321no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—1581no—
1757C2×C4—1581no—
1758C2×C4—1581no—
1759C2×C4—1581no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4C2×D4×D7911yescharacteristic
1767C2×C4C2×D4×D7911yescharacteristic
1768C2×C4C2×D4×D7911yescharacteristic
1769C2×C4C2×D4×D7911yescharacteristic
1770C2×C4C2×D4×D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—22no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—84no—
1801C22—162no—
1802C22—162no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—1581no—
1810C22—1581no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—1581no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936412yes—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—3161no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—3161no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4C2×#1457920611yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—22no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2—3161no—
1849C2—3161no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706511yescharacteristic
1853C2C2×#1909936411yescharacteristic
1854C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#459×C79C2
socleC22×C79C23×D4
hypercenterC2×#459D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#459

Complements

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

NH ≅ G/Ntype
1. #23777733C2semidirect
2. #23777340C2semidirect
3. #23776483C2semidirect
4. #23776445C2semidirect
5. #23776146C2semidirect
6. #23776102C2semidirect
7. #23775548C2semidirect
8. #23775417C2semidirect
9. #23775413C2semidirect
10. #23775357C2semidirect
11. #23775231C2semidirect
12. #23775209C2semidirect
13. #23775085C2semidirect
14. D8×C22⋊D79C2semidirect
15. #23774946C2semidirect
16. #23774880C2semidirect
17. #23774880C2semidirect
18. #23774875C2semidirect
19. #23774837C2semidirect
20. #23774807C2semidirect
21. #23774752C2semidirect
22. #23774491C2semidirect
23. #23774449C2semidirect
24. #23774418C2semidirect
25. #23773641C2semidirect
26. #23773596C2semidirect
27. #23773538C2semidirect
28. #23772934C2semidirect
29. #23772898C2semidirect
30. #23772536C2semidirect
31. C2×#459×C79C2semidirect
32. C2×#14579185C22semidirect
33. C2×#14579185C22semidirect
34. C2×#14579180C22semidirect
35. C2×D8×D79C22semidirect
38. #19099299C22semidirect
39. #19099296C22semidirect
40. #19099272C22semidirect
41. #19099263C22semidirect
43. #19099248C22semidirect
46. #19099233C22semidirect
47. #19099233C22semidirect
48. #19099214C22semidirect
49. #19099208C22semidirect
52. #19099207C22semidirect
53. #19099207C22semidirect
55. #19099198C22semidirect
58. D4×C22⋊D79C22semidirect
59. D4×C22⋊D79C22semidirect
60. #19099178C22semidirect
62. #19099167C22semidirect
63. #19099167C22semidirect
64. #19099164C22semidirect
68. #19099126C22semidirect
69. #19099126C22semidirect
73. #19099097C22semidirect
74. #19099097C22semidirect
77. #19099042C22semidirect
78. #19099035C22semidirect
79. #19098951C22semidirect
80. #19098951C22semidirect
81. #19098950C22semidirect
82. #19098950C22semidirect
83. #19098946C22semidirect
84. #19098938C22semidirect
85. #19098927C22semidirect
86. #19098927C22semidirect
87. #19098926C22semidirect
88. #19098921C22semidirect
89. #19098916C22semidirect
90. #19098908C22semidirect
91. #19098893C22semidirect
92. #19098886C22semidirect
93. #19098885C22semidirect
94. #19098880C22semidirect
95. #19098876C22semidirect
96. #19098875C22semidirect
97. #19098871C22semidirect
98. #19098871C22semidirect
99. #19098865C22semidirect
100. #19098864C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098863C22semidirect
104. #19098861C22semidirect
105. #19098851C22semidirect
106. #19098841C22semidirect
107. #19098815C22semidirect
108. #19098813C22semidirect
109. #19098813C22semidirect
110. #19098808C22semidirect
111. #19098804C22semidirect
113. #19098798C22semidirect
114. #19098796C22semidirect
115. #19098796C22semidirect
116. #19098792C22semidirect
117. #19098792C22semidirect
118. #19098791C22semidirect
119. #19098786C22semidirect
120. #19098786C22semidirect
121. #19098784C22semidirect
122. #19098779C22semidirect
123. #19098779C22semidirect
124. #19098778C22semidirect
125. #19098778C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098776C22semidirect
129. #19098776C22semidirect
130. #19098776C22semidirect
131. #19098762C22semidirect
132. #19098760C22semidirect
133. #19098760C22semidirect
134. #19098757C22semidirect
135. #19098756C22semidirect
136. #19098756C22semidirect
137. #19098756C22semidirect
138. #19098756C22semidirect
139. #19098755C22semidirect
140. #19098755C22semidirect
141. #19098726C22semidirect
142. #19098715C22semidirect
143. #19098714C22semidirect
144. #19098714C22semidirect
145. #19098714C22semidirect
146. #19098709C22semidirect
147. #19098705C22semidirect
148. #19098705C22semidirect
149. #19098705C22semidirect
150. #19098705C22semidirect
151. #19098698C22semidirect
153. #19098697C22semidirect
154. #19098697C22semidirect
155. #19098695C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098692C22semidirect
160. #19098692C22semidirect
161. #19098675C22semidirect
162. #19098675C22semidirect
163. #19098673C22semidirect
164. #19098673C22semidirect
165. #19098672C22semidirect
166. #19098663C22semidirect
167. #19098663C22semidirect
168. #19098660C22semidirect
169. #19098654C22semidirect
170. D8×Dic79C22semidirect
171. D8×Dic79C22semidirect
172. #19098643C22semidirect
173. #19098634C22semidirect
174. #19098634C22semidirect
175. #19098633C22semidirect
176. #19098633C22semidirect
177. C8×C22⋊D79C22semidirect
178. C8×C22⋊D79C22semidirect
179. #19098623C22semidirect
180. #19098623C22semidirect
181. #19098620C22semidirect
182. #19098588C22semidirect
183. #19098588C22semidirect
184. #19098566C22semidirect
185. #19098561C22semidirect
186. #19098556C22semidirect
187. #102×D79C22semidirect
188. C22×D8×C79C22semidirect
189. C22×D8×C79C22semidirect
190. C2×#127×C79C22semidirect
191. C2×C4×D4×C79C22semidirect
193. #459×C79C22semidirect
194. #459×C79C22semidirect
195. #459×C79C22semidirect
196. #459×C79C22semidirect
197. #459×C79C22semidirect
198. #459×C79C22semidirect
199. #459×C79C22semidirect
200. C2×C4⋊C8×C79C22semidirect
201. C2×#102×C79C22semidirect
202. C2×#102×C79C22semidirect
957. C2×#459D79semidirect
959. C79#62007semidirect
964. C22×D8C2×D79semidirect
965. C22×D8C2×D79semidirect
1002. C2×#127C2×D79semidirect
1010. C2×C4×D4C2×D79semidirect
1074. #459C2×D79semidirect
1075. #459C2×D79semidirect
1076. #459C2×D79semidirect
1077. #459C2×D79semidirect
1078. #459C2×D79semidirect
1079. #459C2×D79semidirect
1080. #459C2×D79semidirect
1124. C2×C4⋊C8C2×D79semidirect
1129. C2×#102C2×D79semidirect
1130. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777332
#237773402
#237764832
#237764452
#237761462
#237761022
#237755482
#237754172
#237754132
#237753572
#237752312
#237752092
#237750852
D8×C22⋊D792
#237749462
#237748802
#237748752
#237748372
#237748072
#237747522
#237744912
#237744492
#237744182
#237736412
#237735962
#237735382
#237729342
#237728982
#237725362
C2×#459×C792
#6200779