Finite Group Databasebeta

← #35173842

Subgroups — #35173842

Order 20224.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777679C211yesmaximal, characteristic, complemented
2#23777030C211yesmaximal, characteristic, complemented
3#23775633C211yesmaximal, characteristic, complemented
4#23775609C211yesmaximal, characteristic, complemented
5#23775545C211yesmaximal, characteristic, complemented
6#23775481C211yesmaximal, characteristic, complemented
7#23775443C211yesmaximal, characteristic, complemented
8#23775427C211yesmaximal, characteristic, complemented
9#23775256C211yesmaximal, characteristic, complemented
10#23775225C211yesmaximal, characteristic, complemented
11SD16×C22⋊D79C211yesmaximal, characteristic, complemented
12#23775030C211yesmaximal, characteristic, complemented
13#23774993C211yesmaximal, characteristic, complemented
14#23774925C211yesmaximal, characteristic, complemented
15#23774903C211yesmaximal, characteristic, complemented
16#23774901C211yesmaximal, characteristic, complemented
17#23774896C211yesmaximal, characteristic, complemented
18#23774487C211yesmaximal, characteristic, complemented
19#23774469C211yesmaximal, characteristic, complemented
20#23774266C211yesmaximal, characteristic, complemented
21#23774251C211yesmaximal, characteristic, complemented
22#23774233C211yesmaximal, characteristic, complemented
23#23774189C211yesmaximal, characteristic, complemented
24#23773649C211yesmaximal, characteristic, complemented
25#23773583C211yesmaximal, characteristic, complemented
26#23772700C211yesmaximal, characteristic, complemented
27#23772674C211yesmaximal, characteristic, complemented
28#23772624C211yesmaximal, characteristic, complemented
29C2×#19098712C211yesmaximal, characteristic, complemented
30#23772442C211yesmaximal, characteristic, complemented
31C79×#3282C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579186C2211yescharacteristic, complemented
36C2×#14579185C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C22×#11929611C2211yescharacteristic, complemented
39C2×SD16×D79C2211yescharacteristic, complemented
40#19099314—21no—
41#19099307—21no—
42#19099286C2211yescharacteristic, complemented
43#19099272—21no—
44#19099270C2211yescharacteristic, complemented
45#19099265C2211yescharacteristic, complemented
46#19099256—21no—
47#19099255C2211yescharacteristic, complemented
48Q8×C22⋊D79C2211yescharacteristic, complemented
49#19099221C2211yescharacteristic, complemented
50#19099212C2211yescharacteristic, complemented
51#19099206C2211yescharacteristic
52#19099205—21no—
53#19099204C2211yescharacteristic
54#19099203—21no—
55#19099201C2211yescharacteristic
56D4×D316C2211yescharacteristic
57D4×D316C2211yescharacteristic
58#19099197—21no—
59#19099197C2211yescharacteristic
60D4×C22⋊D79C2211yescharacteristic
61#19099195—21no—
62#19099182C2211yescharacteristic, complemented
63#19099177—21no—
64#19099171C2211yescharacteristic, complemented
65#19099162—21no—
66#19099150—21no—
67#19099146—21no—
68#19099141C2211yescharacteristic, complemented
69#19099136C2211yescharacteristic, complemented
70#19099131C2211yescharacteristic
71#19099129C2211yescharacteristic
72#19099124—21no—
73#19099121—21no—
74#19099076C2211yescharacteristic
75#19099073C2211yescharacteristic, complemented
76#19099072C2211yescharacteristic
77C2×#14579137C2211yescharacteristic, complemented
78C2×#14579131—21no—
79#120×D79—21no—
80#19099035C2211yescharacteristic
81#19098956C2211yescharacteristic, complemented
82#19098953C2211yescharacteristic, complemented
83#19098934C2211yescharacteristic, complemented
84#19098926C2211yescharacteristic, complemented
85#19098922C2211yescharacteristic, complemented
86#19098919C2211yescharacteristic, complemented
87#19098910C2211yescharacteristic, complemented
88#19098907C2211yescharacteristic, complemented
89#19098902C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098902C2211yescharacteristic, complemented
92#19098896C2211yescharacteristic, complemented
93#19098889C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098882C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098862C2211yescharacteristic, complemented
102#19098854C2211yescharacteristic, complemented
103#19098843C2211yescharacteristic, complemented
104#19098818C2211yescharacteristic, complemented
105#19098818C2211yescharacteristic, complemented
106#19098813C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic, complemented
108#19098812C2211yescharacteristic, complemented
109#19098812C2211yescharacteristic, complemented
110#19098811C2211yescharacteristic, complemented
111#19098807C2211yescharacteristic, complemented
112#19098802C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic, complemented
114#19098797C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098792C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098782C2211yescharacteristic, complemented
120#19098780C2211yescharacteristic, complemented
121#19098775C2211yescharacteristic, complemented
122#19098767C2211yescharacteristic, complemented
123#19098766C2211yescharacteristic, complemented
124#19098764C2211yescharacteristic, complemented
125#19098763C2211yescharacteristic, complemented
126#19098761C2211yescharacteristic, complemented
127#19098756C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic, complemented
129#19098725C2211yescharacteristic, complemented
130#19098724C2211yescharacteristic, complemented
131#19098724C2211yescharacteristic, complemented
132#19098724C2211yescharacteristic, complemented
133#19098722C2211yescharacteristic, complemented
134#19098716C2211yescharacteristic, complemented
135#19098716C2211yescharacteristic, complemented
136#19098715C2211yescharacteristic
137#19098715C2211yescharacteristic, complemented
138#19098714C2211yescharacteristic, complemented
139#19098713C2211yescharacteristic, complemented
140#19098712C2211yescharacteristic
141#19098712C2211yescharacteristic
142#19098712C2211yescharacteristic, complemented
143#19098712C2211yescharacteristic, complemented
144#19098712C2211yescharacteristic, complemented
145#19098712C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098709C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098707C2211yescharacteristic, complemented
152#19098707C2211yescharacteristic, complemented
153#19098703C2211yescharacteristic, complemented
154#19098702C2211yescharacteristic, complemented
155#19098700C2211yescharacteristic, complemented
156#19098696C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic
158#19098695C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098666C2211yescharacteristic, complemented
162#19098663C2211yescharacteristic, complemented
163#19098661C2211yescharacteristic, complemented
164C4×#11929613C2211yescharacteristic, complemented
165SD16×Dic79C2211yescharacteristic, complemented
166#19098643C2211yescharacteristic, complemented
167#19098642C2211yescharacteristic, complemented
168#19098638C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic, complemented
171#19098633C2211yescharacteristic, complemented
172#19098631C2211yescharacteristic, complemented
173C8×C22⋊D79C2211yescharacteristic, complemented
174#19098623C2211yescharacteristic, complemented
175#19098622C2211yescharacteristic, complemented
176#19098566C2211yescharacteristic, complemented
177#19098566C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098564C2211yescharacteristic, complemented
180#19098558C2211yescharacteristic, complemented
181C2×#14579083C2211yescharacteristic, complemented
182C2×#14579083C2211yescharacteristic, complemented
183C2×#14579082C2211yescharacteristic, complemented
184#19098529C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#495×C79C2211yescharacteristic, complemented
193#465×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579207—42no—
205#14579207—42no—
206C2×#11929625C2311yescharacteristic
207C2×#11929625C2311yescharacteristic
208C2×#11929624—21no—
209C2×#11929624C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211C2×Q8×D79C2311yescharacteristic, complemented
212C22×D316—21no—
213C22×D316—21no—
214C22×D316C2311yescharacteristic
215C22×D316C2311yescharacteristic
216C22×C22⋊D79—21no—
217C22×C22⋊D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—21no—
224C2×D4×D79—42no—
225C2×D4×D79—42no—
226C2×D4×D79C2311yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic
230C2×D4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232#14579193—42no—
233#14579186—42no—
234#14579185—42no—
235#14579185—42no—
236C2×#11929614C2311yescharacteristic, complemented
237C2×#11929613C2311yescharacteristic
238C2×#11929613C2311yescharacteristic
239C2×#11929613C2311yescharacteristic, complemented
240C2×#11929612C2311yescharacteristic
241C2×#11929612C2311yescharacteristic
242C2×#11929611—42no—
243C2×#11929611C2311yescharacteristic
244C2×#11929611C2311yescharacteristic
245C2×#11929611C2311yescharacteristic
246C2×#11929611C2311yescharacteristic
247C2×#11929611C2311yescharacteristic, complemented
248C2×#11929611C2311yescharacteristic, complemented
249SD16×D79—42no—
250C2×#11929609C2311yescharacteristic
251C2×#11929609C2311yescharacteristic
252C2×#11929609C2311yescharacteristic, complemented
253C2×#11929608C2311yescharacteristic, complemented
254C2×#11929607C2311yescharacteristic
255C2×#11929607C2311yescharacteristic
256C2×#11929607C2311yescharacteristic, complemented
257C22×C79⋊C8C2311yescharacteristic
258C2×C8×D79C2311yescharacteristic, complemented
259#14579161C2311yescharacteristic, complemented
260#14579160—21no—
261#14579159—21no—
262#14579159C2311yescharacteristic, complemented
263#14579158C2311yescharacteristic
264#14579157—21no—
265#14579157C2311yescharacteristic
266#14579156—21no—
267#14579156—21no—
268#14579156—21no—
269#14579156—21no—
270#14579155—21no—
271#14579154—21no—
272#14579154—21no—
273#14579153—21no—
274#14579152—21no—
275#14579152—21no—
276#14579152C2311yescharacteristic, complemented
277#14579151—21no—
278#14579150C2311yescharacteristic
279#14579149—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579146—21no—
285#14579146—21no—
286#14579146—21no—
287#14579146D411yescharacteristic
288#14579145—21no—
289#14579145—21no—
290#14579145—21no—
291#14579144—21no—
292#14579144—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143D411yescharacteristic
297#14579142—21no—
298#14579141C2311yescharacteristic
299#14579140—21no—
300#14579140—21no—
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic, complemented
303#14579139D411yescharacteristic
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138D411yescharacteristic
309#14579137—21no—
310#14579137—21no—
311#14579137—21no—
312#14579137C2311yescharacteristic
313#14579137C2311yescharacteristic
314#14579137C2311yescharacteristic
315#14579137C2311yescharacteristic
316#14579137C2311yescharacteristic
317#14579137C2311yescharacteristic, complemented
318#14579136—21no—
319#14579136—21no—
320#14579136C2311yescharacteristic
321#14579136C2311yescharacteristic
322#14579135—21no—
323#14579135—21no—
324#14579135C2311yescharacteristic
325#14579135C2311yescharacteristic
326#14579134—21no—
327#14579134—21no—
328#14579134—21no—
329#14579134—21no—
330#14579134—21no—
331#14579134D411yescharacteristic
332#14579133—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133—21no—
336#14579133—21no—
337#14579133—21no—
338#14579133D411yescharacteristic
339#14579132C2311yescharacteristic
340#14579132C2311yescharacteristic
341#14579132C2311yescharacteristic, complemented
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579131—21no—
347#14579131—21no—
348#14579131—21no—
349#14579131—21no—
350#14579131—21no—
351#14579131—21no—
352#14579131—21no—
353#14579131D411yescharacteristic
354#14579130—21no—
355#14579129—21no—
356#14579129—21no—
357#14579129—21no—
358#14579129—21no—
359#14579129—21no—
360#14579129D411yescharacteristic
361Q8×Dic79C2311yescharacteristic, complemented
362C4×Dic158—21no—
363C4×Dic158C2311yescharacteristic, complemented
364C4×D316C2311yescharacteristic
365C4×D316C2311yescharacteristic
366D4×Dic79—21no—
367D4×Dic79—21no—
368D4×Dic79—21no—
369D4×Dic79C2311yescharacteristic
370D4×Dic79C2311yescharacteristic, complemented
371#14579123—21no—
372#14579123C2311yescharacteristic
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381#14579119C2311yescharacteristic
382#14579119C2311yescharacteristic
383#14579119C2311yescharacteristic, complemented
384#14579118C2311yescharacteristic
385#14579117—21no—
386C2×C4⋊Dic79C2311yescharacteristic
387C2×C4⋊Dic79C2311yescharacteristic, complemented
388C2×Dic79⋊C4—21no—
389C2×Dic79⋊C4—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C2×(C2×D79)⋊C4—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C22⋊C4×D79—21no—
396#14579094C2311yescharacteristic, complemented
397#14579094C2311yescharacteristic, complemented
398#14579094C2311yescharacteristic, complemented
399#14579094C2311yescharacteristic, complemented
400#14579093C2311yescharacteristic, complemented
401#14579093C2311yescharacteristic, complemented
402#14579093C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579085C2311yescharacteristic, complemented
408#14579085C2311yescharacteristic, complemented
409#14579085C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579084C2311yescharacteristic, complemented
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic, complemented
420#14579083C2311yescharacteristic, complemented
421#14579083C2311yescharacteristic, complemented
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic, complemented
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic, complemented
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic, complemented
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442#14579072C2311yescharacteristic, complemented
443#14579071C2311yescharacteristic, complemented
444C8×Dic79C2311yescharacteristic, complemented
445C2×#41×C79C2311yescharacteristic
446C2×#41×C79C2311yescharacteristic, complemented
447C22×Q8×C79C2311yescharacteristic
448C22×D4×C79C2311yescharacteristic
449#135×C79—42no—
450C2×Q16×C79C2311yescharacteristic, complemented
451C2×Q16×C79C2311yescharacteristic, complemented
452C2×SD16×C79—42no—
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic
457C2×SD16×C79C2311yescharacteristic, complemented
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C22×C8×C79C2311yescharacteristic
461C22×C8×C79C2311yescharacteristic, complemented
462#124×C79—21no—
463#124×C79C2311yescharacteristic
464#124×C79C2311yescharacteristic, complemented
465#123×C79—21no—
466C22⋊Q8×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468C22⋊Q8×C79C2311yescharacteristic, complemented
469#121×C79—21no—
470#121×C79—21no—
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#120×C79—21no—
474C4×Q8×C79C2311yescharacteristic, complemented
475C4×D4×C79—21no—
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C2×C22⋊C4×C79—21no—
479#106×C79C2311yescharacteristic, complemented
480C4⋊C8×C79C2311yescharacteristic, complemented
481#103×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#103×C79C2311yescharacteristic, complemented
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489C4×C8×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—21no—
497C23×D79—44no—
498C23×D79—82no—
499C23×D79—82no—
500C23×D79C2×D411yescharacteristic
501#11929625—22no—
502#11929625—41no—
503#11929625—41no—
504#11929625—41no—
505#11929624—44no—
506#11929624—41no—
507#11929624—41no—
508#11929623—41no—
509#11929623—41no—
510C2×Dic158—21no—
511C2×Dic158—21no—
512C2×Dic158C2×D411yescharacteristic
513C2×Dic158C2411yescharacteristic
514Q8×D79—41no—
515Q8×D79—41no—
516C2×D316—21no—
517C2×D316—21no—
518C2×D316—21no—
519C2×D316—21no—
520C2×D316—22no—
521C2×D316—22no—
522C2×D316—21no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—21no—
526C2×D316—41no—
527C2×D316—41no—
528C2×D316—44no—
529C2×D316—82no—
530C2×D316C2×D411yescharacteristic
531C2×D316C2×D411yescharacteristic
532C2×D316C2411yescharacteristic
533C2×D316C2411yescharacteristic
534C2×D316C2411yescharacteristic
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—44no—
549C2×C22⋊D79—82no—
550C2×C22⋊D79C2×D411yescharacteristic
551C2×C22⋊D79C2×D411yescharacteristic
552C2×C22⋊D79C2×D411yescharacteristic
553C2×C22⋊D79C2×D411yescharacteristic
554D4×D79—22no—
555D4×D79—22no—
556D4×D79—22no—
557D4×D79—22no—
558D4×D79—22no—
559D4×D79—44no—
560D4×D79—44no—
561D4×D79—41no—
562D4×D79—41no—
563D4×D79—41no—
564D4×D79—41no—
565D4×D79—41no—
566D4×D79—44no—
567D4×D79—44no—
568D4×D79—82no—
569D4×D79—82no—
570C22×Dic79—21no—
571C22×Dic79—21no—
572C22×Dic79—21no—
573C22×Dic79—21no—
574C22×Dic79—21no—
575C22×Dic79C2×D411yescharacteristic
576C2×C4×D79—21no—
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—41no—
582C2×C4×D79—41no—
583C2×C4×D79C2×D411yescharacteristic
584C2×C4×D79C2×D411yescharacteristic
585C2×C4×D79C2411yescharacteristic
586C2×C4×D79C2411yescharacteristic
587C2×C4×D79C2411yescharacteristic
588#11929614—41no—
589#11929613—22no—
590#11929613—41no—
591#11929613—41no—
592#11929612—22no—
593#11929612—41no—
594#11929611—22no—
595#11929611—22no—
596#11929611—41no—
597#11929611—41no—
598#11929611—41no—
599#11929611—41no—
600#11929609—22no—
601#11929609—41no—
602#11929609—41no—
603#11929608—41no—
604#11929607—41no—
605#11929607—41no—
606#11929607—41no—
607C2×C79⋊C8—41no—
608C2×C79⋊C8C2411yescharacteristic
609C2×C79⋊C8C2411yescharacteristic
610C2×C79⋊C8C2411yescharacteristic
611C2×C79⋊C8C2411yescharacteristic
612C8×D79—41no—
613C4⋊Dic79—21no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79—21no—
617C4⋊Dic79—21no—
618C4⋊Dic79—21no—
619C4⋊Dic79C2×D411yescharacteristic
620C4⋊Dic79C2411yescharacteristic
621C4⋊Dic79C2411yescharacteristic
622C4⋊Dic79C2411yescharacteristic
623C4⋊Dic79C2411yescharacteristic
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4C2×D411yescharacteristic
637Dic79⋊C4C2×D411yescharacteristic
638Dic79⋊C4C2×D411yescharacteristic
639Dic79⋊C4C2×D411yescharacteristic
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79C2×D411yescharacteristic
648C22⋊Dic79C2×D411yescharacteristic
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4C2×D411yescharacteristic
668(C2×D79)⋊C4C2×D411yescharacteristic
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79C2411yescharacteristic
679C24×C79—21no—
680#41×C79—22no—
681#41×C79—41no—
682#41×C79—41no—
683#41×C79—41no—
684C2×Q8×C79—21no—
685C2×Q8×C79—41no—
686C2×Q8×C79—41no—
687C2×Q8×C79C2411yescharacteristic
688C2×Q8×C79C2411yescharacteristic
689C2×Q8×C79C2411yescharacteristic
690C2×D4×C79—22no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—41no—
697C2×D4×C79C2×D411yescharacteristic
698C2×D4×C79C2411yescharacteristic
699C2×D4×C79C2411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—21no—
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707Q16×C79—41no—
708Q16×C79—41no—
709SD16×C79—22no—
710SD16×C79—22no—
711SD16×C79—41no—
712SD16×C79—41no—
713SD16×C79—41no—
714D8×C79—22no—
715D8×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79—41no—
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79C2×D411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79—21no—
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—81no—
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—22no—
750C22×D79—21no—
751C22×D79—24no—
752C22×D79—21no—
753C22×D79—21no—
754C22×D79—41no—
755C22×D79—41no—
756C22×D79—42no—
757C22×D79—42no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—81no—
766C22×D79—81no—
767C22×D79—81no—
768C22×D79—81no—
769C22×D79—81no—
770C22×D79—81no—
771C22×D79—81no—
772C22×D79—81no—
773C22×D79—81no—
774C22×D79—81no—
775C22×D79—81no—
776C22×D79—816no—
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—21no—
783Q8×C79—21no—
784Q8×C79—21no—
785Q8×C79—21no—
786Q8×C79—81no—
787D4×C79—22no—
788D4×C79—21no—
789D4×C79—21no—
790D4×C79—21no—
791D4×C79—21no—
792D4×C79—21no—
793D4×C79—42no—
794D4×C79—42no—
795D4×C79—42no—
796D4×C79—81no—
797D4×C79—81no—
798D4×C79H(5,𝔽2)12yes—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—42no—
809C2×C4×C79—81no—
810C2×C4×C79—81no—
811C2×C4×C79—81no—
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C2511yescharacteristic
817C22⋊D79—24no—
818C22⋊D79—22no—
819C22⋊D79—41no—
820C22⋊D79—41no—
821C22⋊D79—41no—
822C22⋊D79—42no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—81no—
828C22⋊D79—81no—
829C22⋊D79—81no—
830C22⋊D79—81no—
831C22⋊D79—81no—
832C22⋊D79—81no—
833C22⋊D79—81no—
834C2×Dic79—21no—
835C2×Dic79—21no—
836C2×Dic79—21no—
837C2×Dic79—21no—
838C2×Dic79—21no—
839C2×Dic79—41no—
840C2×Dic79—81no—
841C2×Dic79—81no—
842C2×Dic79—81no—
843C2×Dic79—81no—
844C2×Dic79—81no—
845C2×Dic79C22×D411yescharacteristic
846C2×Dic79C22×D411yescharacteristic
847C2×Dic79C22×D411yescharacteristic
848C2×Dic79C22×D411yescharacteristic
849C2×Dic79C22×D411yescharacteristic
850D316—21no—
851D316—21no—
852D316—21no—
853D316—21no—
854D316—21no—
855D316—41no—
856D316—41no—
857D316—42no—
858D316—42no—
859D316—42no—
860D316—42no—
861D316—42no—
862D316—81no—
863D316—81no—
864D316—81no—
865D316H(5,𝔽2)12yes—
866C4×D79—21no—
867C4×D79—21no—
868C4×D79—21no—
869C4×D79—21no—
870C4×D79—21no—
871C4×D79—21no—
872C4×D79—41no—
873C4×D79—41no—
874C4×D79—42no—
875C4×D79—42no—
876C4×D79—81no—
877C4×D79—81no—
878C4×D79—81no—
879Dic158—21no—
880Dic158—21no—
881Dic158—41no—
882Dic158—81no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—22no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—84no—
907C22×C79#57712yes—
908C22×C79C23×D411yescharacteristic
909C2×D79—21no—
910C2×D79—21no—
911C2×D79—21no—
912C2×D79—22no—
913C2×D79—21no—
914C2×D79—21no—
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—21no—
918C2×D79—21no—
919C2×D79—44no—
920C2×D79—41no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—41no—
928C2×D79—84no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—162no—
934C2×D79—162no—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79—41no—
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945C4×C79C2×H(5,𝔽2)11yescharacteristic
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—21no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61610—791nomaximal, Sylow
957C2×C79—22no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79#348411yescharacteristic
963C2×C79C2×#57711yescharacteristic
964C2×C79#358511yescharacteristic
965D79—41no—
966D79—41no—
967D79—41no—
968D79—42no—
969D79—81no—
970D79—81no—
971#3541—791no—
972#3484—791no—
973#3324—791no—
974#3323—791no—
975#3318—791no—
976#3314—791no—
977#3311—791no—
978#3310—791no—
979#3297—791no—
980#3295—791no—
981#3282D7911yescharacteristic, complemented
982D4×SD16—791no—
983#3275—791no—
984#3272—791no—
985#3267—791no—
986#3266—791no—
987#3265—791no—
988#3265—791no—
989#3224—791no—
990#3222—791no—
991#3200—791no—
992#3198—791no—
993#3196—791no—
994#3191—791no—
995#3123—791no—
996#3118—791no—
997#3012—791no—
998#3009—791no—
999#3003—791no—
1000C2×#450—791no—
1001#2976—791no—
1002C79#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—791no—
1004C23×D4—791no—
1005C2×#137—791no—
1006C2×AGL(1,ℤ/8)—791no—
1007C2×AGL(1,ℤ/8)—791no—
1008C2×AGL(1,ℤ/8)—791no—
1009C2×#135C2×D7911yescharacteristic, complemented
1010C22×SD16—791no—
1011C22×SD16—791no—
1012C22×SD16C2×D7911yescharacteristic, complemented
1013#563—1581no—
1014#562—1581no—
1015#556—791no—
1016#554—791no—
1017#554—1581no—
1018#553—791no—
1019#553—1581no—
1020#552—791no—
1021D4×Q8—791no—
1022#548—791no—
1023#548C2×D7911yescharacteristic, complemented
1024#547—791no—
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—1581no—
1029#546—1581no—
1030#546C2×D7911yescharacteristic
1031D42—791no—
1032D42—791no—
1033D42—791no—
1034D42—791no—
1035D42—1581no—
1036D42—1581no—
1037#542—791no—
1038#542—1581no—
1039#541—791no—
1040#539—1581no—
1041#538—1581no—
1042#538—1581no—
1043#537—791no—
1044#536—791no—
1045#535—791no—
1046#535—791no—
1047#534—1581no—
1048#534—1581no—
1049#525—791no—
1050#525—791no—
1051#525—791no—
1052C2×C22⋊Q8—791no—
1053C2×#120—1581no—
1054C2×#120—1581no—
1055#518—791no—
1056#497—791no—
1057#496—791no—
1058#495C2×D7911yescharacteristic, complemented
1059#492—791no—
1060#490—791no—
1061#489—791no—
1062#488—791no—
1063#486—791no—
1064#485—791no—
1065#485—791no—
1066#485—791no—
1067#485—791no—
1068#484—791no—
1069#482—791no—
1070#482—791no—
1071#482—791no—
1072#482—791no—
1073#481—791no—
1074#481—791no—
1075#480—791no—
1076#478—791no—
1077#478—791no—
1078#476—791no—
1079#474—791no—
1080#470—791no—
1081#470—791no—
1082#469—791no—
1083#468—791no—
1084#468—791no—
1085#468—791no—
1086#468—791no—
1087#468—791no—
1088#467—791no—
1089#466—791no—
1090#466—791no—
1091#465—791no—
1092#465—791no—
1093#465—791no—
1094#465C2×D7911yescharacteristic, complemented
1095#465C2×D7911yescharacteristic, complemented
1096#464—791no—
1097#464—791no—
1098#464C2×D7911yescharacteristic, complemented
1099#463—791no—
1100#463—791no—
1101#463C2×D7911yescharacteristic, complemented
1102#461—791no—
1103#461—791no—
1104#460—791no—
1105#460—791no—
1106#460—791no—
1107#459—791no—
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452—791no—
1112#452—791no—
1113#452—791no—
1114#452C2×D7911yescharacteristic, complemented
1115#451C2×D7911yescharacteristic, complemented
1116#450—791no—
1117#450—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#450—791no—
1127#450—791no—
1128#450—791no—
1129#450—791no—
1130#450—791no—
1131#449—791no—
1132#449—791no—
1133#449—791no—
1134#449—791no—
1135#449C2×D7911yescharacteristic, complemented
1136#448—791no—
1137#448—791no—
1138#448—791no—
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447C2×D7911yescharacteristic, complemented
1144#442—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148C4×SD16—791no—
1149C4×SD16—791no—
1150C4×SD16C2×D7911yescharacteristic, complemented
1151C4×D8—791no—
1152#436—791no—
1153#436—791no—
1154#435—791no—
1155#435—791no—
1156#435—791no—
1157#435—791no—
1158C8×D4—791no—
1159C8×D4C2×D7911yescharacteristic, complemented
1160#433—791no—
1161#433—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#417—791no—
1166#416—791no—
1167C2×#102—791no—
1168C2×#102—791no—
1169C2×#102—791no—
1170#408—791no—
1171#408—791no—
1172#407—791no—
1173C2×C22⋊C8—791no—
1174C25—1581no—
1175H(5,𝔽2)—3162no—
1176H(5,𝔽2)—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—1581no—
1182C2×#41C22×D7911yescharacteristic
1183C2×#41C22×D7911yescharacteristic, complemented
1184C22×Q8—791no—
1185C22×Q8C22×D7911yescharacteristic
1186C22×D4—3162no—
1187C22×D4—3162no—
1188C22×D4—791no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4—1581no—
1203C22×D4—1581no—
1204C22×D4—1581no—
1205C22×D4C22×D7911yescharacteristic
1206C23×C4—791no—
1207#137—3162no—
1208AGL(1,ℤ/8)—3162no—
1209AGL(1,ℤ/8)—3162no—
1210AGL(1,ℤ/8)—3162no—
1211#135—42no—
1212C2×Q16—791no—
1213C2×Q16C22×D7911yescharacteristic, complemented
1214C2×Q16C22×D7911yescharacteristic, complemented
1215C2×SD16—42no—
1216C2×SD16—3162no—
1217C2×SD16—3162no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16—791no—
1226C2×SD16—791no—
1227C2×SD16—791no—
1228C2×SD16—791no—
1229C2×SD16C22×D7911yescharacteristic
1230C2×SD16C22×D7911yescharacteristic
1231C2×SD16C22×D7911yescharacteristic
1232C2×SD16C22×D7911yescharacteristic
1233C2×SD16C22×D7911yescharacteristic, complemented
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×D8C22×D7911yescharacteristic
1238C2×D8C22×D7911yescharacteristic
1239C2×M16—791no—
1240C2×M16—791no—
1241C2×M16—791no—
1242C2×M16—791no—
1243C22×C8—791no—
1244C22×C8—791no—
1245C22×C8C22×D7911yescharacteristic
1246C22×C8C22×D7911yescharacteristic, complemented
1247C4⋊Q8—791no—
1248C4⋊Q8—791no—
1249C4⋊Q8—1581no—
1250C4⋊Q8—1581no—
1251#127—791no—
1252#127—791no—
1253#127—1581no—
1254#126—1581no—
1255#126—1581no—
1256#126—1581no—
1257#126—1581no—
1258#126—1581no—
1259#126—1581no—
1260#126—1581no—
1261#125—791no—
1262#125—1581no—
1263#125—1581no—
1264#125—1581no—
1265#125—1581no—
1266#124—21no—
1267#124—791no—
1268#124—1581no—
1269#124—1581no—
1270#124—1581no—
1271#124—1581no—
1272#124—1581no—
1273#124C22×D7911yescharacteristic
1274#124C22×D7911yescharacteristic, complemented
1275#123—21no—
1276#123—791no—
1277#123—791no—
1278#123—1581no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285#123—1581no—
1286#123—1581no—
1287#123—1581no—
1288#123—1581no—
1289#123—1581no—
1290C22⋊Q8—21no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—791no—
1297C22⋊Q8—791no—
1298C22⋊Q8—791no—
1299C22⋊Q8—791no—
1300C22⋊Q8—791no—
1301C22⋊Q8—791no—
1302C22⋊Q8—1581no—
1303C22⋊Q8—1581no—
1304C22⋊Q8—1581no—
1305C22⋊Q8—1581no—
1306C22⋊Q8—1581no—
1307C22⋊Q8—1581no—
1308C22⋊Q8—1581no—
1309C22⋊Q8—1581no—
1310C22⋊Q8—1581no—
1311C22⋊Q8C22×D7911yescharacteristic
1312C22⋊Q8C22×D7911yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—791no—
1316#121—791no—
1317#121—791no—
1318#121—791no—
1319#121—791no—
1320#121—791no—
1321#121—791no—
1322#121—791no—
1323#121—791no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121—1581no—
1328#121—1581no—
1329#121—1581no—
1330#121—1581no—
1331#121—1581no—
1332#121—1581no—
1333#121—1581no—
1334#121—1581no—
1335#121—1581no—
1336#121—1581no—
1337#121—1581no—
1338#121—1581no—
1339#121C22×D7911yescharacteristic
1340#121C22×D7911yescharacteristic
1341#120—21no—
1342#120—791no—
1343#120—791no—
1344#120—1581no—
1345#120—1581no—
1346#120—1581no—
1347#120—1581no—
1348#120—1581no—
1349#120—1581no—
1350#120—1581no—
1351#120—1581no—
1352#120—1581no—
1353#120—1581no—
1354#120—1581no—
1355#120—1581no—
1356#120—1581no—
1357#120—1581no—
1358#120—1581no—
1359#120—1581no—
1360#120—1581no—
1361C4×Q8—791no—
1362C4×Q8—791no—
1363C4×Q8—1581no—
1364C4×Q8C22×D7911yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4—791no—
1369C4×D4—791no—
1370C4×D4—791no—
1371C4×D4—791no—
1372C4×D4—791no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377C4×D4—1581no—
1378C4×D4—1581no—
1379C4×D4—1581no—
1380C4×D4—1581no—
1381C4×D4—1581no—
1382C4×D4—1581no—
1383C4×D4C22×D7911yescharacteristic
1384C4×D4C22×D7911yescharacteristic
1385#117—791no—
1386#117—791no—
1387#117—791no—
1388#117—791no—
1389#117—1581no—
1390C2×C4⋊C4—791no—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—1581no—
1393C2×C4⋊C4—1581no—
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C22⋊C4—1581no—
1401#107—791no—
1402#107—791no—
1403#107—791no—
1404#107—791no—
1405#106—791no—
1406#106—791no—
1407#106—791no—
1408#106C22×D7911yescharacteristic, complemented
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103C22×D7911yescharacteristic, complemented
1421#103C22×D7911yescharacteristic, complemented
1422#103C22×D7911yescharacteristic, complemented
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102—791no—
1442#102C22×D7911yescharacteristic
1443#102C22×D7911yescharacteristic
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457#97—791no—
1458#97—791no—
1459C4×C8—791no—
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—21no—
1462C24—3164no—
1463C24—791no—
1464C24—6322no—
1465C24—6322no—
1466C24—1581no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—3161no—
1478#41—3161no—
1479#41—3164no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—3161no—
1485#41—1582no—
1486C2×Q8—21no—
1487C2×Q8—41no—
1488C2×Q8—41no—
1489C2×Q8—3161no—
1490C2×Q8—3161no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—1581no—
1494C2×Q8—1581no—
1495C2×Q8C23×D7911yescharacteristic
1496C2×Q8C23×D7911yescharacteristic
1497C2×Q8C23×D7911yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—3161no—
1506C2×D4—3161no—
1507C2×D4—3164no—
1508C2×D4—3164no—
1509C2×D4—3164no—
1510C2×D4—3164no—
1511C2×D4—3164no—
1512C2×D4—3164no—
1513C2×D4—3161no—
1514C2×D4—3161no—
1515C2×D4—3161no—
1516C2×D4—3161no—
1517C2×D4—3161no—
1518C2×D4—791no—
1519C2×D4—791no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—791no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—791no—
1527C2×D4—6322no—
1528C2×D4—6322no—
1529C2×D4—6322no—
1530C2×D4—6322no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1581no—
1534C2×D4—1582no—
1535C2×D4—1582no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1581no—
1544C2×D4—1582no—
1545C2×D4—1582no—
1546C2×D4—1581no—
1547C2×D4—1582no—
1548C2×D4—1582no—
1549C2×D4—1581no—
1550C2×D4—1581no—
1551C2×D4—1581no—
1552C2×D4—1581no—
1553C2×D4—1581no—
1554C2×D4—1582no—
1555C2×D4—1581no—
1556C2×D4—1581no—
1557C2×D4—1581no—
1558C2×D4—1581no—
1559C2×D4D4×D7911yescharacteristic
1560C2×D4C23×D7911yescharacteristic
1561C2×D4C23×D7911yescharacteristic
1562C2×D4C23×D7911yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—3161no—
1568C22×C4—3161no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—791no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4—1581no—
1584C22×C4—1581no—
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—3161no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—3161no—
1602SD16—1582no—
1603SD16—1582no—
1604SD16—1582no—
1605SD16—1582no—
1606D8—22no—
1607D8—41no—
1608D8—3161no—
1609D8—3161no—
1610D8—1582no—
1611M16—3161no—
1612M16—3161no—
1613M16—3161no—
1614M16—3161no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—791no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4—1581no—
1654C4⋊C4—1581no—
1655C4⋊C4—1581no—
1656C4⋊C4—1581no—
1657C4⋊C4D4×D7911yescharacteristic
1658C4⋊C4C23×D7911yescharacteristic
1659C4⋊C4C23×D7911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—791no—
1672C22⋊C4—791no—
1673C22⋊C4—791no—
1674C22⋊C4—791no—
1675C22⋊C4—791no—
1676C22⋊C4—791no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—21no—
1705C42—791no—
1706C42—1581no—
1707C42—1581no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—3161no—
1719C23—3161no—
1720C23—3162no—
1721C23—3162no—
1722C23—3162no—
1723C23—3162no—
1724C23—3162no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—791no—
1730C23—791no—
1731C23—791no—
1732C23—6321no—
1733C23—6321no—
1734C23—6321no—
1735C23—6321no—
1736C23—6321no—
1737C23—6321no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—6321no—
1743C23—63216no—
1744C23—1584no—
1745C23—1581no—
1746C23—1581no—
1747C23—1582no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—3161no—
1759Q8—6321no—
1760Q8—6321no—
1761Q8—1581no—
1762Q8—1581no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—3162no—
1775D4—3162no—
1776D4—3161no—
1777D4—3161no—
1778D4—3162no—
1779D4—3162no—
1780D4—3162no—
1781D4—3162no—
1782D4—3162no—
1783D4—3162no—
1784D4—3161no—
1785D4—3161no—
1786D4—3161no—
1787D4—3162no—
1788D4—3162no—
1789D4—792no—
1790D4—6321no—
1791D4—6321no—
1792D4—6321no—
1793D4—6321no—
1794D4—6321no—
1795D4—6321no—
1796D4—6321no—
1797D4—6321no—
1798D4—6321no—
1799D4—6321no—
1800D4—1584no—
1801D4—1582no—
1802D4—1581no—
1803D4—1581no—
1804D4—1581no—
1805D4—1581no—
1806D4—1581no—
1807D4#1457920612yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3162no—
1824C2×C4—3162no—
1825C2×C4—3161no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—6321no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—3164no—
1879C22—3161no—
1880C22—3161no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—6324no—
1888C22—6324no—
1889C22—6324no—
1890C22—6324no—
1891C22—6324no—
1892C22—1581no—
1893C22—1581no—
1894C22—1582no—
1895C22—1581no—
1896C22—1581no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—12642no—
1903C22—12642no—
1904C22#1909937012yes—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920611yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—3161no—
1933C2—3161no—
1934C2—3162no—
1935C2—3161no—
1936C2—6321no—
1937C2—6321no—
1938C2#2377702811yescharacteristic
1939C2C2×#1909937011yescharacteristic
1940C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3282C2
socleC22×C79C23×D4
hypercenter#3282D79
hypocenterC79#61610
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #23777679C2semidirect
2. #23777030C2semidirect
3. #23775633C2semidirect
4. #23775609C2semidirect
5. #23775545C2semidirect
6. #23775481C2semidirect
7. #23775443C2semidirect
8. #23775427C2semidirect
9. #23775256C2semidirect
10. #23775225C2semidirect
11. SD16×C22⋊D79C2semidirect
12. #23775030C2semidirect
13. #23774993C2semidirect
14. #23774925C2semidirect
15. #23774903C2semidirect
16. #23774901C2semidirect
17. #23774896C2semidirect
18. #23774487C2semidirect
19. #23774469C2semidirect
20. #23774266C2semidirect
21. #23774251C2semidirect
22. #23774233C2semidirect
23. #23774189C2semidirect
24. #23773649C2semidirect
25. #23773583C2semidirect
26. #23772700C2semidirect
27. #23772674C2semidirect
28. #23772624C2semidirect
29. C2×#19098712C2semidirect
30. #23772442C2semidirect
31. C79×#3282C2semidirect
34. C2×#14579193C22semidirect
35. C2×#14579186C22semidirect
36. C2×#14579185C22semidirect
37. C2×#14579185C22semidirect
38. C22×#11929611C22semidirect
39. C2×SD16×D79C22semidirect
42. #19099286C22semidirect
44. #19099270C22semidirect
45. #19099265C22semidirect
47. #19099255C22semidirect
48. Q8×C22⋊D79C22semidirect
49. #19099221C22semidirect
50. #19099212C22semidirect
62. #19099182C22semidirect
64. #19099171C22semidirect
68. #19099141C22semidirect
69. #19099136C22semidirect
75. #19099073C22semidirect
77. C2×#14579137C22semidirect
81. #19098956C22semidirect
82. #19098953C22semidirect
83. #19098934C22semidirect
84. #19098926C22semidirect
85. #19098922C22semidirect
86. #19098919C22semidirect
87. #19098910C22semidirect
88. #19098907C22semidirect
89. #19098902C22semidirect
90. #19098902C22semidirect
91. #19098902C22semidirect
92. #19098896C22semidirect
93. #19098889C22semidirect
94. #19098889C22semidirect
95. #19098886C22semidirect
96. #19098886C22semidirect
97. #19098882C22semidirect
98. #19098882C22semidirect
99. #19098874C22semidirect
100. #19098865C22semidirect
101. #19098862C22semidirect
102. #19098854C22semidirect
103. #19098843C22semidirect
104. #19098818C22semidirect
105. #19098818C22semidirect
106. #19098813C22semidirect
107. #19098812C22semidirect
108. #19098812C22semidirect
109. #19098812C22semidirect
110. #19098811C22semidirect
111. #19098807C22semidirect
112. #19098802C22semidirect
113. #19098798C22semidirect
114. #19098797C22semidirect
115. #19098792C22semidirect
116. #19098792C22semidirect
117. #19098789C22semidirect
118. #19098787C22semidirect
119. #19098782C22semidirect
120. #19098780C22semidirect
121. #19098775C22semidirect
122. #19098767C22semidirect
123. #19098766C22semidirect
124. #19098764C22semidirect
125. #19098763C22semidirect
126. #19098761C22semidirect
127. #19098756C22semidirect
128. #19098728C22semidirect
129. #19098725C22semidirect
130. #19098724C22semidirect
131. #19098724C22semidirect
132. #19098724C22semidirect
133. #19098722C22semidirect
134. #19098716C22semidirect
135. #19098716C22semidirect
137. #19098715C22semidirect
138. #19098714C22semidirect
139. #19098713C22semidirect
142. #19098712C22semidirect
143. #19098712C22semidirect
144. #19098712C22semidirect
145. #19098712C22semidirect
146. #19098712C22semidirect
147. #19098712C22semidirect
148. #19098712C22semidirect
149. #19098709C22semidirect
150. #19098708C22semidirect
151. #19098707C22semidirect
152. #19098707C22semidirect
153. #19098703C22semidirect
154. #19098702C22semidirect
155. #19098700C22semidirect
156. #19098696C22semidirect
158. #19098695C22semidirect
159. #19098695C22semidirect
160. #19098675C22semidirect
161. #19098666C22semidirect
162. #19098663C22semidirect
163. #19098661C22semidirect
164. C4×#11929613C22semidirect
165. SD16×Dic79C22semidirect
166. #19098643C22semidirect
167. #19098642C22semidirect
168. #19098638C22semidirect
169. #19098635C22semidirect
170. #19098634C22semidirect
171. #19098633C22semidirect
172. #19098631C22semidirect
173. C8×C22⋊D79C22semidirect
174. #19098623C22semidirect
175. #19098622C22semidirect
176. #19098566C22semidirect
177. #19098566C22semidirect
178. #19098566C22semidirect
179. #19098564C22semidirect
180. #19098558C22semidirect
181. C2×#14579083C22semidirect
182. C2×#14579083C22semidirect
183. C2×#14579082C22semidirect
184. #19098529C22semidirect
185. #19098528C22semidirect
186. #19098525C22semidirect
187. C2×(C2×D79)⋊C8C22semidirect
188. C2×#135×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
192. #495×C79C22semidirect
193. #465×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #463×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
211. C2×Q8×D79C23semidirect
236. C2×#11929614C23semidirect
239. C2×#11929613C23semidirect
247. C2×#11929611C23semidirect
248. C2×#11929611C23semidirect
252. C2×#11929609C23semidirect
253. C2×#11929608C23semidirect
256. C2×#11929607C23semidirect
258. C2×C8×D79C23semidirect
259. #14579161C23semidirect
262. #14579159C23semidirect
276. #14579152C23semidirect
302. #14579140C23semidirect
317. #14579137C23semidirect
341. #14579132C23semidirect
361. Q8×Dic79C23semidirect
363. C4×Dic158C23semidirect
370. D4×Dic79C23semidirect
383. #14579119C23semidirect
387. C2×C4⋊Dic79C23semidirect
396. #14579094C23semidirect
397. #14579094C23semidirect
398. #14579094C23semidirect
399. #14579094C23semidirect
400. #14579093C23semidirect
401. #14579093C23semidirect
402. #14579093C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579085C23semidirect
408. #14579085C23semidirect
409. #14579085C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579084C23semidirect
419. #14579083C23semidirect
420. #14579083C23semidirect
421. #14579083C23semidirect
428. #14579082C23semidirect
431. #14579081C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. #14579072C23semidirect
443. #14579071C23semidirect
444. C8×Dic79C23semidirect
446. C2×#41×C79C23semidirect
450. C2×Q16×C79C23semidirect
451. C2×Q16×C79C23semidirect
457. C2×SD16×C79C23semidirect
461. C22×C8×C79C23semidirect
464. #124×C79C23semidirect
468. C22⋊Q8×C79C23semidirect
474. C4×Q8×C79C23semidirect
479. #106×C79C23semidirect
480. C4⋊C8×C79C23semidirect
481. #103×C79C23semidirect
482. #103×C79C23semidirect
483. #103×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C4×C8×C79C23semidirect
981. #3282D79semidirect
1002. C79#61610semidirect
1009. C2×#135C2×D79semidirect
1012. C22×SD16C2×D79semidirect
1023. #548C2×D79semidirect
1058. #495C2×D79semidirect
1094. #465C2×D79semidirect
1095. #465C2×D79semidirect
1098. #464C2×D79semidirect
1101. #463C2×D79semidirect
1114. #452C2×D79semidirect
1115. #451C2×D79semidirect
1135. #449C2×D79semidirect
1143. #447C2×D79semidirect
1150. C4×SD16C2×D79semidirect
1159. C8×D4C2×D79semidirect
1183. C2×#41C22×D79semidirect
1213. C2×Q16C22×D79semidirect
1214. C2×Q16C22×D79semidirect
1233. C2×SD16C22×D79semidirect
1246. C22×C8C22×D79semidirect
1274. #124C22×D79semidirect
1312. C22⋊Q8C22×D79semidirect
1364. C4×Q8C22×D79semidirect
1408. #106C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1420. #103C22×D79semidirect
1421. #103C22×D79semidirect
1422. #103C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1460. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776792
#237770302
#237756332
#237756092
#237755452
#237754812
#237754432
#237754272
#237752562
#237752252
SD16×C22⋊D792
#237750302
#237749932
#237749252
#237749032
#237749012
#237748962
#237744872
#237744692
#237742662
#237742512
#237742332
#237741892
#237736492
#237735832
#237727002
#237726742
#237726242
C2×#190987122
#237724422
C79×#32822
#6161079