Finite Group Databasebeta

← #35173098

Subgroups — #35173098

Order 20224.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777195C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic
3#23775488C211yesmaximal, characteristic, complemented
4#23775487C211yesmaximal, characteristic, complemented
5#23775486C211yesmaximal, characteristic, complemented
6#23775485C211yesmaximal, characteristic, complemented
7#23775483C211yesmaximal, characteristic, complemented
8#23775481C211yesmaximal, characteristic, complemented
9#23775476C211yesmaximal, characteristic, complemented
10#23775474C211yesmaximal, characteristic, complemented
11#23774916C211yesmaximal, characteristic, complemented
12#23774913C211yesmaximal, characteristic, complemented
13#23774911C211yesmaximal, characteristic, complemented
14#23774910C211yesmaximal, characteristic, complemented
15#23774909C211yesmaximal, characteristic, complemented
16#23774904C211yesmaximal, characteristic, complemented
17#23774903C211yesmaximal, characteristic, complemented
18#23774401C211yesmaximal, characteristic, complemented
19#23774398C211yesmaximal, characteristic, complemented
20#23774204C211yesmaximal, characteristic, complemented
21#23774201C211yesmaximal, characteristic, complemented
22#23774173C211yesmaximal, characteristic, complemented
23#23774171C211yesmaximal, characteristic, complemented
24#23773498C211yesmaximal, characteristic, complemented
25#23773497C211yesmaximal, characteristic, complemented
26#23772657C211yesmaximal, characteristic, complemented
27#23772656C211yesmaximal, characteristic, complemented
28C2×#19098712C211yesmaximal, characteristic, complemented
29#450×D79C211yesmaximal, characteristic, complemented
30#23772425C211yesmaximal, characteristic, complemented
31C79×#3266C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579192C2211yescharacteristic, complemented
36C2×#14579190C2211yescharacteristic, complemented
37C22×#11929611C2211yescharacteristic, complemented
38C2×SD16×D79C2211yescharacteristic, complemented
39C2×SD16×D79C2211yescharacteristic, complemented
40#19099274—21no—
41#19099273C2211yescharacteristic, complemented
42#19099272—21no—
43#19099271C2211yescharacteristic, complemented
44#19099271C2211yescharacteristic, complemented
45#19099270C2211yescharacteristic, complemented
46#19099267—21no—
47#19099267—21no—
48#19099228C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic
52#19099209C2211yescharacteristic
53#19099208C2211yescharacteristic
54#19099207C2211yescharacteristic
55#19099206C2211yescharacteristic
56#19099205—21no—
57#19099204C2211yescharacteristic
58#19099203—21no—
59#19099202—21no—
60#19099201C2211yescharacteristic
61#19099200—21no—
62#19099190—21no—
63#19099188—21no—
64#19099188—21no—
65#19099118C2211yescharacteristic, complemented
66#19099117C2211yescharacteristic, complemented
67#124×D79C2211yescharacteristic
68#123×D79—21no—
69C2×#14579137C2211yescharacteristic
70C2×#14579137C2211yescharacteristic, complemented
71C22⋊Q8×D79C2211yescharacteristic
72C22⋊Q8×D79C2211yescharacteristic
73C22⋊Q8×D79C2211yescharacteristic, complemented
74#121×D79—21no—
75#121×D79C2211yescharacteristic
76#120×D79—21no—
77#19099035—21no—
78C4×D4×D79C2211yescharacteristic
79C4×D4×D79C2211yescharacteristic
80C2×C22⋊C4×D79—21no—
81#19098956C2211yescharacteristic, complemented
82#19098955C2211yescharacteristic, complemented
83#19098954C2211yescharacteristic, complemented
84#19098924C2211yescharacteristic, complemented
85#19098923C2211yescharacteristic, complemented
86#19098922C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098900C2211yescharacteristic, complemented
89#19098900C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098897C2211yescharacteristic, complemented
94#19098897C2211yescharacteristic, complemented
95#19098896C2211yescharacteristic, complemented
96#19098878C2211yescharacteristic, complemented
97#19098877C2211yescharacteristic, complemented
98#19098875C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic, complemented
100#19098844C2211yescharacteristic, complemented
101#19098843C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098812C2211yescharacteristic, complemented
105#19098812C2211yescharacteristic, complemented
106#19098811C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic, complemented
108#19098807C2211yescharacteristic, complemented
109#19098806C2211yescharacteristic, complemented
110#19098806C2211yescharacteristic, complemented
111#19098804C2211yescharacteristic, complemented
112#19098803C2211yescharacteristic, complemented
113#19098803C2211yescharacteristic, complemented
114#19098802C2211yescharacteristic, complemented
115#19098802C2211yescharacteristic, complemented
116#19098801C2211yescharacteristic, complemented
117#19098801C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098787C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098785C2211yescharacteristic, complemented
122#19098783C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098782C2211yescharacteristic, complemented
125#19098767C2211yescharacteristic, complemented
126#19098766C2211yescharacteristic, complemented
127#19098765C2211yescharacteristic, complemented
128#19098727C2211yescharacteristic, complemented
129#19098725C2211yescharacteristic, complemented
130#19098724C2211yescharacteristic, complemented
131#19098724C2211yescharacteristic, complemented
132#19098723C2211yescharacteristic, complemented
133#19098722C2211yescharacteristic, complemented
134#19098722C2211yescharacteristic, complemented
135#19098720C2211yescharacteristic, complemented
136#19098720C2211yescharacteristic, complemented
137#19098719C2211yescharacteristic, complemented
138#19098717C2211yescharacteristic, complemented
139#19098717C2211yescharacteristic, complemented
140#19098717C2211yescharacteristic, complemented
141#19098717C2211yescharacteristic, complemented
142#19098716C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic
144#19098715C2211yescharacteristic
145#19098714C2211yescharacteristic, complemented
146#19098713C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic
148#19098712C2211yescharacteristic
149#19098712C2211yescharacteristic
150#19098712C2211yescharacteristic
151#19098712C2211yescharacteristic
152#19098712C2211yescharacteristic
153#19098712C2211yescharacteristic, complemented
154#19098712C2211yescharacteristic, complemented
155#19098712C2211yescharacteristic, complemented
156#19098712C2211yescharacteristic, complemented
157#19098703C2211yescharacteristic, complemented
158#19098702C2211yescharacteristic, complemented
159#19098700C2211yescharacteristic, complemented
160#19098666C2211yescharacteristic, complemented
161#19098666C2211yescharacteristic, complemented
162#19098665C2211yescharacteristic, complemented
163#19098664C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098663C2211yescharacteristic, complemented
166#19098661C2211yescharacteristic, complemented
167#19098637C2211yescharacteristic, complemented
168#19098636C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic, complemented
171#19098633C2211yescharacteristic, complemented
172#19098632C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098619C2211yescharacteristic, complemented
175#19098618C2211yescharacteristic, complemented
176#19098565C2211yescharacteristic, complemented
177#19098564C2211yescharacteristic, complemented
178#19098563C2211yescharacteristic, complemented
179#19098561C2211yescharacteristic, complemented
180C2×#14579083C2211yescharacteristic, complemented
181C2×#14579082C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#19098526C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186C2×(C2×D79)⋊C8C2211yescharacteristic
187C22⋊C8×D79C2211yescharacteristic
188C2×#137×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190D4×Q8×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#497×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#461×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#448×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624C2311yescharacteristic
207C2×#11929623—21no—
208C2×#11929623C2311yescharacteristic
209#41×D79—42no—
210#41×D79—42no—
211C2×Q8×D79C2311yescharacteristic
212C2×Q8×D79C2311yescharacteristic
213C2×Q8×D79C2311yescharacteristic, complemented
214C22×D316C2311yescharacteristic
215C22×C22⋊D79—21no—
216C2×D4×D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—42no—
221C2×D4×D79—42no—
222C2×D4×D79D411yescharacteristic
223C2×D4×D79C2311yescharacteristic
224C2×D4×D79C2311yescharacteristic
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C22×C4×D79—21no—
228C22×C4×D79—21no—
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579193—42no—
232#14579192—42no—
233#14579190—42no—
234C2×Dic316C2311yescharacteristic, complemented
235C2×#11929614C2311yescharacteristic, complemented
236C2×#11929614C2311yescharacteristic, complemented
237C2×#11929614C2311yescharacteristic, complemented
238C2×#11929614C2311yescharacteristic, complemented
239C2×#11929613C2311yescharacteristic
240C2×#11929613C2311yescharacteristic
241C2×#11929612C2311yescharacteristic
242C2×#11929612C2311yescharacteristic
243C2×#11929611—42no—
244C2×#11929611C2311yescharacteristic
245C2×#11929611C2311yescharacteristic
246C2×#11929611C2311yescharacteristic
247C2×#11929611C2311yescharacteristic
248C2×#11929611C2311yescharacteristic
249C2×#11929611C2311yescharacteristic
250SD16×D79—42no—
251SD16×D79—42no—
252C2×#11929608C2311yescharacteristic, complemented
253C2×#11929607C2311yescharacteristic, complemented
254C2×#11929607C2311yescharacteristic, complemented
255C22×C79⋊C8C2311yescharacteristic
256C2×C8×D79C2311yescharacteristic
257C2×C8×D79C2311yescharacteristic
258#14579161C2311yescharacteristic, complemented
259#14579160—21no—
260#14579160C2311yescharacteristic, complemented
261#14579159—21no—
262#14579159—21no—
263#14579159C2311yescharacteristic, complemented
264#14579153—21no—
265#14579152—21no—
266#14579152—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579150C2311yescharacteristic
271#14579149C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579146—21no—
276#14579146—21no—
277#14579145—21no—
278#14579144—21no—
279#14579143—21no—
280#14579143—21no—
281#14579142—21no—
282#14579141—21no—
283#14579141—21no—
284#14579141—21no—
285#14579141C2311yescharacteristic
286#14579141C2311yescharacteristic
287#14579140—21no—
288#14579140—21no—
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic, complemented
292#14579139—21no—
293#14579139—21no—
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579137—21no—
308#14579137—21no—
309#14579137—21no—
310#14579137—21no—
311#14579137—21no—
312#14579137—21no—
313#14579137C2311yescharacteristic
314#14579137C2311yescharacteristic
315#14579137C2311yescharacteristic
316#14579137C2311yescharacteristic
317#14579137C2311yescharacteristic
318#14579137C2311yescharacteristic
319#14579137C2311yescharacteristic, complemented
320#14579137C2311yescharacteristic, complemented
321#14579136—21no—
322#14579136C2311yescharacteristic
323#14579135—21no—
324#14579135C2311yescharacteristic
325#14579134—21no—
326#14579134—21no—
327#14579134—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579132—21no—
332#14579132C2311yescharacteristic
333#14579131—21no—
334#14579131—21no—
335#14579131—21no—
336#14579130—21no—
337#14579129—21no—
338#14579129—21no—
339#14579129—21no—
340Q8×Dic79C2311yescharacteristic, complemented
341Q8×Dic79C2311yescharacteristic, complemented
342C4×Dic158—21no—
343C4×Dic158C2311yescharacteristic, complemented
344#14579126—21no—
345C4×D316—21no—
346C4×D316C2311yescharacteristic
347C4×D316C2311yescharacteristic
348D4×Dic79—21no—
349D4×Dic79D411yescharacteristic
350D4×Dic79C2311yescharacteristic
351#14579123—21no—
352#14579123D411yescharacteristic
353#14579123C2311yescharacteristic
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79C2311yescharacteristic
358C4×C22⋊D79C2311yescharacteristic
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4D411yescharacteristic
363(C22⋊D79)⋊C4D411yescharacteristic
364#14579119—21no—
365#14579118—21no—
366C2×C4⋊Dic79C2311yescharacteristic
367C2×C4⋊Dic79C2311yescharacteristic, complemented
368C2×Dic79⋊C4—21no—
369C2×Dic79⋊C4—21no—
370C4⋊C4×D79—21no—
371C4⋊C4×D79—21no—
372C4⋊C4×D79—21no—
373C4⋊C4×D79D411yescharacteristic
374C4⋊C4×D79C2311yescharacteristic
375C4⋊C4×D79C2311yescharacteristic
376C4⋊C4×D79C2311yescharacteristic, complemented
377C2×C22⋊Dic79—21no—
378C2×(C2×D79)⋊C4—21no—
379C2×(C2×D79)⋊C4—21no—
380C2×(C2×D79)⋊C4—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79D411yescharacteristic
394C22⋊C4×D79D411yescharacteristic
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic, complemented
397#14579095C2311yescharacteristic, complemented
398#14579095C2311yescharacteristic, complemented
399#14579094C2311yescharacteristic, complemented
400#14579094C2311yescharacteristic, complemented
401#14579094C2311yescharacteristic, complemented
402#14579094C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579086C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579085C2311yescharacteristic, complemented
413#14579085C2311yescharacteristic, complemented
414#14579085C2311yescharacteristic, complemented
415#14579085C2311yescharacteristic, complemented
416#14579084C2311yescharacteristic, complemented
417#14579084C2311yescharacteristic, complemented
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
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
444#14579071C2311yescharacteristic, complemented
445C2×#41×C79C2311yescharacteristic
446C22×Q8×C79C2311yescharacteristic
447C22×Q8×C79C2311yescharacteristic, complemented
448C22×D4×C79C2311yescharacteristic
449#137×C79—42no—
450C2×Q16×C79C2311yescharacteristic, complemented
451C2×Q16×C79C2311yescharacteristic, complemented
452C2×Q16×C79C2311yescharacteristic, complemented
453C2×SD16×C79—42no—
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic
457C2×SD16×C79C2311yescharacteristic
458C2×SD16×C79C2311yescharacteristic
459C2×SD16×C79C2311yescharacteristic
460C2×M16×C79C2311yescharacteristic, complemented
461C22×C8×C79C2311yescharacteristic
462C4⋊Q8×C79—21no—
463C4⋊Q8×C79C2311yescharacteristic, complemented
464#124×C79C2311yescharacteristic
465#123×C79—21no—
466C22⋊Q8×C79—21no—
467C22⋊Q8×C79—21no—
468C22⋊Q8×C79C2311yescharacteristic
469C22⋊Q8×C79C2311yescharacteristic
470C22⋊Q8×C79C2311yescharacteristic, complemented
471#121×C79—21no—
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#107×C79C2311yescharacteristic, complemented
480C4⋊C8×C79C2311yescharacteristic, complemented
481#103×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#103×C79C2311yescharacteristic, complemented
484#103×C79C2311yescharacteristic, complemented
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489#97×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—44no—
496C23×D79—44no—
497C23×D79—82no—
498C23×D79C2×D411yescharacteristic
499C23×D79C2×D411yescharacteristic
500#11929625—22no—
501#11929625—41no—
502#11929624—22no—
503#11929624—44no—
504#11929624—41no—
505#11929623—22no—
506#11929623—44no—
507#11929623—41no—
508C2×Dic158—21no—
509C2×Dic158—21no—
510C2×Dic158—21no—
511C2×Dic158—21no—
512C2×Dic158—21no—
513C2×Dic158C2411yescharacteristic
514C2×Dic158C2411yescharacteristic
515Q8×D79—41no—
516Q8×D79—41no—
517Q8×D79—41no—
518Q8×D79—41no—
519Q8×D79—41no—
520Q8×D79—41no—
521C2×D316—21no—
522C2×D316—21no—
523C2×D316—22no—
524C2×D316—21no—
525C2×D316—41no—
526C2×D316C2×D411yescharacteristic
527C2×D316C2411yescharacteristic
528C2×D316C2411yescharacteristic
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—44no—
538C2×C22⋊D79C2×D411yescharacteristic
539C2×C22⋊D79C2×D411yescharacteristic
540D4×D79—22no—
541D4×D79—24no—
542D4×D79—22no—
543D4×D79—22no—
544D4×D79—22no—
545D4×D79—44no—
546D4×D79—41no—
547D4×D79—41no—
548D4×D79—41no—
549D4×D79—41no—
550D4×D79—44no—
551D4×D79—44no—
552D4×D79—82no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C22×Dic79—21no—
556C22×Dic79—21no—
557C22×Dic79C2×D411yescharacteristic
558C22×Dic79C2×D411yescharacteristic
559C2×C4×D79—21no—
560C2×C4×D79—21no—
561C2×C4×D79—21no—
562C2×C4×D79—21no—
563C2×C4×D79—21no—
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
568C2×C4×D79—21no—
569C2×C4×D79—41no—
570C2×C4×D79—41no—
571C2×C4×D79—41no—
572C2×C4×D79—41no—
573C2×C4×D79—44no—
574C2×C4×D79—82no—
575C2×C4×D79C2×D411yescharacteristic
576C2×C4×D79C2×D411yescharacteristic
577C2×C4×D79C2×D411yescharacteristic
578C2×C4×D79C2×D411yescharacteristic
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2×D411yescharacteristic
581C2×C4×D79C2411yescharacteristic
582C2×C4×D79C2411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584Dic316—41no—
585#11929614—41no—
586#11929614—41no—
587#11929614—41no—
588#11929614—41no—
589#11929613—22no—
590#11929613—41no—
591#11929612—22no—
592#11929612—41no—
593#11929611—22no—
594#11929611—22no—
595#11929611—22no—
596#11929611—41no—
597#11929611—41no—
598#11929611—41no—
599#11929608—41no—
600#11929607—41no—
601#11929607—41no—
602C2×C79⋊C8—41no—
603C2×C79⋊C8C2411yescharacteristic
604C2×C79⋊C8C2411yescharacteristic
605C2×C79⋊C8C2411yescharacteristic
606C2×C79⋊C8C2411yescharacteristic
607C8×D79—41no—
608C8×D79—41no—
609C4⋊Dic79—21no—
610C4⋊Dic79—21no—
611C4⋊Dic79—21no—
612C4⋊Dic79—21no—
613C4⋊Dic79—21no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79C2×D411yescharacteristic
617C4⋊Dic79C2411yescharacteristic
618C4⋊Dic79C2411yescharacteristic
619C4⋊Dic79C2411yescharacteristic
620C4⋊Dic79C2411yescharacteristic
621Dic79⋊C4—21no—
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
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⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4C2×D411yescharacteristic
640Dic79⋊C4C2×D411yescharacteristic
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79C2×D411yescharacteristic
649C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
668(C2×D79)⋊C4C2×D411yescharacteristic
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672C4×Dic79—21no—
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79C2×D411yescharacteristic
676C4×Dic79C2×D411yescharacteristic
677C4×Dic79C2411yescharacteristic
678C24×C79—21no—
679#41×C79—22no—
680#41×C79—41no—
681C2×Q8×C79—21no—
682C2×Q8×C79—21no—
683C2×Q8×C79—41no—
684C2×Q8×C79—41no—
685C2×Q8×C79—41no—
686C2×Q8×C79—41no—
687C2×Q8×C79C2411yescharacteristic
688C2×Q8×C79C2411yescharacteristic
689C2×Q8×C79C2411yescharacteristic
690C2×Q8×C79C2411yescharacteristic
691C2×D4×C79—22no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—41no—
696C2×D4×C79C2×D411yescharacteristic
697C2×D4×C79C2411yescharacteristic
698C2×D4×C79C2411yescharacteristic
699C22×C4×C79—21no—
700C22×C4×C79—21no—
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705Q16×C79—41no—
706Q16×C79—41no—
707Q16×C79—41no—
708SD16×C79—22no—
709SD16×C79—22no—
710SD16×C79—22no—
711SD16×C79—41no—
712SD16×C79—41no—
713SD16×C79—41no—
714M16×C79—41no—
715C2×C8×C79—41no—
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C4⋊C4×C79—21no—
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79—21no—
726C4⋊C4×C79C2×D411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C4⋊C4×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
737C22⋊C4×C79C2×D411yescharacteristic
738C42×C79—21no—
739C42×C79C2411yescharacteristic
740C23×C79—21no—
741C23×C79—21no—
742C23×C79—42no—
743C23×C79—42no—
744C23×C79—81no—
745C23×C79C22×D411yescharacteristic
746C23×C79C22×D411yescharacteristic
747C22×D79—24no—
748C22×D79—21no—
749C22×D79—22no—
750C22×D79—21no—
751C22×D79—41no—
752C22×D79—41no—
753C22×D79—41no—
754C22×D79—41no—
755C22×D79—42no—
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—42no—
766C22×D79—81no—
767C22×D79—81no—
768C22×D79—81no—
769C22×D79—816no—
770C22×D79#13714yescomplemented
771C22×D79C22×D411yescharacteristic
772C22×D79C22×D411yescharacteristic
773C22×D79C22×D411yescharacteristic
774Q8×C79—21no—
775Q8×C79—21no—
776Q8×C79—21no—
777Q8×C79—21no—
778Q8×C79—21no—
779Q8×C79—21no—
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—81no—
783Q8×C79—81no—
784D4×C79—22no—
785D4×C79—21no—
786D4×C79—21no—
787D4×C79—21no—
788D4×C79—42no—
789D4×C79—42no—
790D4×C79—81no—
791D4×C79H(5,𝔽2)12yes—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—42no—
803C2×C4×C79—81no—
804C2×C4×C79—81no—
805C2×C4×C79—81no—
806C2×C4×C79C22×D411yescharacteristic
807C2×C4×C79C22×D411yescharacteristic
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C2511yescharacteristic
811C22⋊D79—24no—
812C22⋊D79—22no—
813C22⋊D79—22no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—41no—
828C2×Dic79—41no—
829C2×Dic79—42no—
830C2×Dic79—81no—
831C2×Dic79—81no—
832C2×Dic79—81no—
833C2×Dic79C22×D411yescharacteristic
834C2×Dic79C22×D411yescharacteristic
835C2×Dic79C22×D411yescharacteristic
836C2×Dic79C22×D411yescharacteristic
837C2×Dic79C22×D411yescharacteristic
838D316—22no—
839D316—21no—
840D316—21no—
841D316—21no—
842D316—42no—
843D316—42no—
844D316—81no—
845D316H(5,𝔽2)12yes—
846C4×D79—22no—
847C4×D79—21no—
848C4×D79—21no—
849C4×D79—21no—
850C4×D79—21no—
851C4×D79—21no—
852C4×D79—21no—
853C4×D79—41no—
854C4×D79—41no—
855C4×D79—41no—
856C4×D79—41no—
857C4×D79—41no—
858C4×D79—42no—
859C4×D79—42no—
860C4×D79—42no—
861C4×D79—42no—
862C4×D79—81no—
863C4×D79—81no—
864C4×D79—81no—
865C4×D79—81no—
866C4×D79—81no—
867C4×D79—81no—
868Dic158—21no—
869Dic158—21no—
870Dic158—21no—
871Dic158—21no—
872Dic158—42no—
873Dic158—81no—
874Dic158—81no—
875Dic158—81no—
876Dic158—81no—
877C8×C79—21no—
878C8×C79—21no—
879C8×C79—21no—
880C8×C79—21no—
881C79⋊C8—21no—
882C79⋊C8—21no—
883C79⋊C8—21no—
884C79⋊C8—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—22no—
889C22×C79—21no—
890C22×C79—21no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—41no—
894C22×C79—41no—
895C22×C79—41no—
896C22×C79—84no—
897C22×C79C2×#13712yes—
898C22×C79C23×D411yescharacteristic
899C2×D79—21no—
900C2×D79—21no—
901C2×D79—21no—
902C2×D79—21no—
903C2×D79—21no—
904C2×D79—22no—
905C2×D79—21no—
906C2×D79—21no—
907C2×D79—44no—
908C2×D79—48no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—82no—
915C2×D79—84no—
916C2×D79—84no—
917C2×D79—84no—
918C2×D79—84no—
919C2×D79C2×#13712yes—
920C2×D79C2×#13712yes—
921C4×C79—21no—
922C4×C79—21no—
923C4×C79—21no—
924C4×C79—21no—
925C4×C79—41no—
926C4×C79—41no—
927C4×C79—41no—
928C4×C79—41no—
929C4×C79—41no—
930C4×C79—41no—
931C4×C79C2×H(5,𝔽2)11yescharacteristic
932C4×C79C2×H(5,𝔽2)11yescharacteristic
933Dic79—21no—
934Dic79—21no—
935Dic79—21no—
936Dic79—21no—
937Dic79—21no—
938Dic79—41no—
939Dic79—41no—
940Dic79—41no—
941Dic79—41no—
942Dic79—41no—
943Dic79—41no—
944#61570—791nomaximal, Sylow
945C2×C79—22no—
946C2×C79—42no—
947C2×C79—41no—
948C2×C79—81no—
949C2×C79#348411yescharacteristic
950C2×C79C22×#13711yescharacteristic
951C2×C79#358511yescharacteristic
952D79—22no—
953D79—22no—
954D79—41no—
955D79—42no—
956D79—81no—
957#3501—791no—
958C2×#546—791no—
959#3314—791no—
960#3314—791no—
961#3314—791no—
962#3314—791no—
963#3314—791no—
964#3314—791no—
965#3314—791no—
966#3314—791no—
967#3266—791no—
968#3266—791no—
969#3266—791no—
970#3266—791no—
971#3266—791no—
972#3266—791no—
973#3266—791no—
974#3266D7911yescharacteristic, complemented
975#3215—791no—
976#3215—791no—
977#3193—791no—
978#3193—791no—
979#3189—791no—
980#3189—791no—
981#3110—791no—
982#3110—791no—
983#3007—791no—
984#3007—791no—
985C2×#450—791no—
986C2×#450—791no—
987#2973—791no—
988C79#6157011yescharacteristic, complemented, Sylow
989C22×#41—791no—
990C23×D4—791no—
991C2×#137—791no—
992C2×#137—791no—
993C2×#137—791no—
994C2×#137C2×D7911yescharacteristic, complemented
995C22×SD16—791no—
996C22×SD16—791no—
997C22×SD16—791no—
998C22×SD16C2×D7911yescharacteristic, complemented
999#554—791no—
1000#554—791no—
1001#554—791no—
1002#554—791no—
1003#554—1581no—
1004#554—1581no—
1005#554—1581no—
1006#554—1581no—
1007D4×Q8—791no—
1008D4×Q8—791no—
1009D4×Q8—791no—
1010D4×Q8C2×D7911yescharacteristic, complemented
1011#546—791no—
1012#546—791no—
1013#546—791no—
1014#546—791no—
1015#546—791no—
1016#546—791no—
1017#546—791no—
1018#546—1581no—
1019#546—1581no—
1020#546—1581no—
1021#546—1581no—
1022#546C2×D7911yescharacteristic
1023#544—1581no—
1024#543—1581no—
1025#543—1581no—
1026#533—791no—
1027#533—791no—
1028C2×#124—791no—
1029C2×#123—1581no—
1030C2×C22⋊Q8—791no—
1031C2×C22⋊Q8—791no—
1032C2×C22⋊Q8—791no—
1033C2×C22⋊Q8—791no—
1034C2×C22⋊Q8—791no—
1035C2×#121—791no—
1036C2×#121—1581no—
1037C2×#120—1581no—
1038#518—1581no—
1039C2×C4×D4—791no—
1040C2×C4×D4—791no—
1041C22×C22⋊C4—1581no—
1042#497—791no—
1043#497—791no—
1044#497—791no—
1045#497C2×D7911yescharacteristic, complemented
1046#489—791no—
1047#489—791no—
1048#489—791no—
1049#489—791no—
1050#484—791no—
1051#484—791no—
1052#484—791no—
1053#484—791no—
1054#484—791no—
1055#484—791no—
1056#484—791no—
1057#484—791no—
1058#480—791no—
1059#480—791no—
1060#480—791no—
1061#480—791no—
1062#474—791no—
1063#474—791no—
1064#474—791no—
1065#474—791no—
1066#468—791no—
1067#468—791no—
1068#468—791no—
1069#468—791no—
1070#468—791no—
1071#468—791no—
1072#468—791no—
1073#468C2×D7911yescharacteristic, complemented
1074#467—791no—
1075#467—791no—
1076#467—791no—
1077#467—791no—
1078#467—791no—
1079#467—791no—
1080#467—791no—
1081#467C2×D7911yescharacteristic, complemented
1082#464—791no—
1083#464—791no—
1084#464—791no—
1085#464—791no—
1086#464—791no—
1087#464—791no—
1088#464—791no—
1089#464C2×D7911yescharacteristic, complemented
1090#461—791no—
1091#461—791no—
1092#461—791no—
1093#461C2×D7911yescharacteristic, complemented
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452—791no—
1099#452—791no—
1100#452—791no—
1101#452C2×D7911yescharacteristic, complemented
1102#451—791no—
1103#451—791no—
1104#451—791no—
1105#451—791no—
1106#451—791no—
1107#451—791no—
1108#451—791no—
1109#451C2×D7911yescharacteristic, complemented
1110#450—791no—
1111#450—791no—
1112#450—791no—
1113#450—791no—
1114#450—791no—
1115#450—791no—
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#450C2×D7911yescharacteristic, complemented
1126#448—791no—
1127#448—791no—
1128#448—791no—
1129#448C2×D7911yescharacteristic, complemented
1130#440—791no—
1131#440—791no—
1132#440—791no—
1133#440—791no—
1134#440—791no—
1135#440—791no—
1136#440—791no—
1137#440C2×D7911yescharacteristic, complemented
1138#435—791no—
1139#435—791no—
1140#435—791no—
1141#435—791no—
1142#435—791no—
1143#435—791no—
1144#435—791no—
1145#435C2×D7911yescharacteristic, complemented
1146#432—791no—
1147#432—791no—
1148#417—791no—
1149#417—791no—
1150#417—791no—
1151#417—791no—
1152C2×#102—791no—
1153C2×#102—791no—
1154C2×#102—791no—
1155C2×#102—791no—
1156#407—791no—
1157#407—791no—
1158C2×C22⋊C8—791no—
1159C2×C22⋊C8—791no—
1160C25—1581no—
1161C2×#41—3162no—
1162C2×#41—3162no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—791no—
1166C2×#41—1581no—
1167C2×#41—1581no—
1168C2×#41C22×D7911yescharacteristic
1169C22×Q8—791no—
1170C22×Q8—791no—
1171C22×Q8—791no—
1172C22×Q8C22×D7911yescharacteristic
1173C22×Q8C22×D7911yescharacteristic, complemented
1174C22×D4—3162no—
1175C22×D4—3162no—
1176C22×D4—791no—
1177C22×D4—791no—
1178C22×D4—791no—
1179C22×D4—791no—
1180C22×D4—791no—
1181C22×D4—791no—
1182C22×D4—1581no—
1183C22×D4—1581no—
1184C22×D4—1581no—
1185C22×D4—1581no—
1186C22×D4—1581no—
1187C22×D4C22×D7911yescharacteristic
1188C23×C4—791no—
1189C23×C4—791no—
1190C23×C4—1581no—
1191C23×C4—1581no—
1192#137—42no—
1193#137—3162no—
1194#137—3162no—
1195#137—3162no—
1196C2×Q16—791no—
1197C2×Q16—791no—
1198C2×Q16—791no—
1199C2×Q16—791no—
1200C2×Q16—791no—
1201C2×Q16C22×D7911yescharacteristic, complemented
1202C2×Q16C22×D7911yescharacteristic, complemented
1203C2×Q16C22×D7911yescharacteristic, complemented
1204C2×SD16—42no—
1205C2×SD16—3162no—
1206C2×SD16—3162no—
1207C2×SD16—3162no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16—791no—
1211C2×SD16—791no—
1212C2×SD16—791no—
1213C2×SD16—791no—
1214C2×SD16—791no—
1215C2×SD16—791no—
1216C2×SD16—791no—
1217C2×SD16—791no—
1218C2×SD16C22×D7911yescharacteristic
1219C2×SD16C22×D7911yescharacteristic
1220C2×SD16C22×D7911yescharacteristic
1221C2×SD16C22×D7911yescharacteristic
1222C2×SD16C22×D7911yescharacteristic
1223C2×SD16C22×D7911yescharacteristic
1224C2×M16—791no—
1225C2×M16—791no—
1226C2×M16—791no—
1227C2×M16C22×D7911yescharacteristic, complemented
1228C22×C8—791no—
1229C22×C8—791no—
1230C22×C8—791no—
1231C22×C8C22×D7911yescharacteristic
1232C4⋊Q8—21no—
1233C4⋊Q8—791no—
1234C4⋊Q8—791no—
1235C4⋊Q8—791no—
1236C4⋊Q8—1581no—
1237C4⋊Q8—1581no—
1238C4⋊Q8—1581no—
1239C4⋊Q8C22×D7911yescharacteristic, complemented
1240#125—1581no—
1241#125—1581no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—791no—
1247#124—791no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124C22×D7911yescharacteristic
1252#123—21no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8—1581no—
1291C22⋊Q8—1581no—
1292C22⋊Q8—1581no—
1293C22⋊Q8—1581no—
1294C22⋊Q8—1581no—
1295C22⋊Q8—1581no—
1296C22⋊Q8—1581no—
1297C22⋊Q8—1581no—
1298C22⋊Q8—1581no—
1299C22⋊Q8—1581no—
1300C22⋊Q8—1581no—
1301C22⋊Q8C22×D7911yescharacteristic
1302C22⋊Q8C22×D7911yescharacteristic
1303C22⋊Q8C22×D7911yescharacteristic, complemented
1304#121—21no—
1305#121—791no—
1306#121—791no—
1307#121—791no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121C22×D7911yescharacteristic
1318#120—21no—
1319#120—1581no—
1320#120—1581no—
1321#120—1581no—
1322#120—1581no—
1323#120—1581no—
1324#120—1581no—
1325#120—1581no—
1326C4×Q8—791no—
1327C4×Q8—791no—
1328C4×Q8—791no—
1329C4×Q8—1581no—
1330C4×Q8—1581no—
1331C4×Q8C22×D7911yescharacteristic, complemented
1332C4×D4—21no—
1333C4×D4—791no—
1334C4×D4—791no—
1335C4×D4—791no—
1336C4×D4—791no—
1337C4×D4—791no—
1338C4×D4—791no—
1339C4×D4—791no—
1340C4×D4—791no—
1341C4×D4—791no—
1342C4×D4—791no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4—1581no—
1348C4×D4—1581no—
1349C4×D4—1581no—
1350C4×D4—1581no—
1351C4×D4—1581no—
1352C4×D4C22×D7911yescharacteristic
1353C4×D4C22×D7911yescharacteristic
1354#117—1581no—
1355#117—1581no—
1356C2×C4⋊C4—791no—
1357C2×C4⋊C4—791no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—791no—
1361C2×C4⋊C4—791no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4—1581no—
1364C2×C4⋊C4—1581no—
1365C2×C4⋊C4—1581no—
1366C2×C4⋊C4—1581no—
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—791no—
1369C2×C22⋊C4—791no—
1370C2×C22⋊C4—1581no—
1371C2×C22⋊C4—1581no—
1372C2×C22⋊C4—1581no—
1373C2×C22⋊C4—1581no—
1374C2×C22⋊C4—1581no—
1375C2×C22⋊C4—1581no—
1376C2×C22⋊C4—1581no—
1377C2×C22⋊C4—1581no—
1378C2×C22⋊C4—1581no—
1379C2×C22⋊C4—1581no—
1380C2×C22⋊C4—1581no—
1381C2×C22⋊C4—1581no—
1382C2×C22⋊C4—1581no—
1383C2×C22⋊C4—1581no—
1384C2×C22⋊C4—1581no—
1385C2×C22⋊C4—1581no—
1386C2×C42—791no—
1387#107—791no—
1388#107—791no—
1389#107—791no—
1390#107—791no—
1391#107—791no—
1392#107—791no—
1393#107—791no—
1394#107C22×D7911yescharacteristic, complemented
1395C4⋊C8—791no—
1396C4⋊C8—791no—
1397C4⋊C8—791no—
1398C4⋊C8C22×D7911yescharacteristic, complemented
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103—791no—
1404#103—791no—
1405#103—791no—
1406#103—791no—
1407#103—791no—
1408#103—791no—
1409#103—791no—
1410#103—791no—
1411#103C22×D7911yescharacteristic, complemented
1412#103C22×D7911yescharacteristic, complemented
1413#103C22×D7911yescharacteristic, complemented
1414#103C22×D7911yescharacteristic, complemented
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102—791no—
1422#102—791no—
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102C22×D7911yescharacteristic
1430#102C22×D7911yescharacteristic
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8—791no—
1434C22⋊C8—791no—
1435C22⋊C8—791no—
1436C22⋊C8—791no—
1437C22⋊C8—791no—
1438C22⋊C8—791no—
1439C22⋊C8—791no—
1440C22⋊C8—791no—
1441C22⋊C8C22×D7911yescharacteristic
1442C22⋊C8C22×D7911yescharacteristic, complemented
1443#97—791no—
1444#97—791no—
1445#97—791no—
1446#97C22×D7911yescharacteristic, complemented
1447C24—21no—
1448C24—3164no—
1449C24—3164no—
1450C24—791no—
1451C24—791no—
1452C24—6322no—
1453C24—1581no—
1454C24—1581no—
1455C24—1581no—
1456C24—1581no—
1457C24—1581no—
1458#41—22no—
1459#41—41no—
1460#41—3161no—
1461#41—3164no—
1462#41—3164no—
1463#41—3161no—
1464#41—3161no—
1465#41—1582no—
1466#41—1582no—
1467#41—1582no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—3161no—
1475C2×Q8—3161no—
1476C2×Q8—3161no—
1477C2×Q8—3161no—
1478C2×Q8—3161no—
1479C2×Q8—3161no—
1480C2×Q8—791no—
1481C2×Q8—791no—
1482C2×Q8—1581no—
1483C2×Q8—1581no—
1484C2×Q8—1581no—
1485C2×Q8—1581no—
1486C2×Q8—1581no—
1487C2×Q8C23×D7911yescharacteristic
1488C2×Q8C23×D7911yescharacteristic
1489C2×Q8C23×D7911yescharacteristic
1490C2×Q8C23×D7911yescharacteristic
1491C2×D4—22no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—41no—
1496C2×D4—3161no—
1497C2×D4—3164no—
1498C2×D4—3164no—
1499C2×D4—3164no—
1500C2×D4—3164no—
1501C2×D4—3161no—
1502C2×D4—3161no—
1503C2×D4—3161no—
1504C2×D4—3161no—
1505C2×D4—791no—
1506C2×D4—791no—
1507C2×D4—791no—
1508C2×D4—791no—
1509C2×D4—791no—
1510C2×D4—6322no—
1511C2×D4—1581no—
1512C2×D4—1582no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1582no—
1519C2×D4—1582no—
1520C2×D4—1584no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1582no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1582no—
1527C2×D4—1581no—
1528C2×D4D4×D7911yescharacteristic
1529C2×D4C23×D7911yescharacteristic
1530C2×D4C23×D7911yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—3161no—
1536C22×C4—3161no—
1537C22×C4—3161no—
1538C22×C4—3161no—
1539C22×C4—3164no—
1540C22×C4—791no—
1541C22×C4—791no—
1542C22×C4—791no—
1543C22×C4—791no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—791no—
1547C22×C4—791no—
1548C22×C4—791no—
1549C22×C4—791no—
1550C22×C4—791no—
1551C22×C4—6322no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4—1581no—
1556C22×C4—1581no—
1557C22×C4—1581no—
1558C22×C4—1581no—
1559C22×C4—1581no—
1560C22×C4—1581no—
1561C22×C4—1581no—
1562C22×C4—1581no—
1563C22×C4—1581no—
1564C22×C4—1581no—
1565C22×C4—1581no—
1566C22×C4C23×D7911yescharacteristic
1567C22×C4C23×D7911yescharacteristic
1568Q16—41no—
1569Q16—41no—
1570Q16—41no—
1571Q16—3161no—
1572Q16—3161no—
1573Q16—3161no—
1574Q16—3161no—
1575Q16—3161no—
1576SD16—22no—
1577SD16—22no—
1578SD16—22no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—3161no—
1583SD16—3161no—
1584SD16—3161no—
1585SD16—3161no—
1586SD16—3161no—
1587SD16—1582no—
1588SD16—1582no—
1589SD16—1582no—
1590SD16—1582no—
1591SD16—1582no—
1592M16—41no—
1593M16—3161no—
1594M16—3161no—
1595M16—3161no—
1596C2×C8—41no—
1597C2×C8—3161no—
1598C2×C8—3161no—
1599C2×C8—3161no—
1600C2×C8—791no—
1601C2×C8—791no—
1602C2×C8—791no—
1603C2×C8—791no—
1604C2×C8C23×D7911yescharacteristic
1605C2×C8C23×D7911yescharacteristic
1606C2×C8C23×D7911yescharacteristic
1607C2×C8C23×D7911yescharacteristic
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—791no—
1617C4⋊C4—791no—
1618C4⋊C4—791no—
1619C4⋊C4—791no—
1620C4⋊C4—791no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4—1581no—
1634C4⋊C4—1581no—
1635C4⋊C4—1581no—
1636C4⋊C4—1581no—
1637C4⋊C4—1581no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4D4×D7911yescharacteristic
1647C4⋊C4C23×D7911yescharacteristic
1648C4⋊C4C23×D7911yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—791no—
1657C22⋊C4—791no—
1658C22⋊C4—791no—
1659C22⋊C4—791no—
1660C22⋊C4—791no—
1661C22⋊C4—791no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1688C22⋊C4D4×D7911yescharacteristic
1689C42—21no—
1690C42—791no—
1691C42—791no—
1692C42—791no—
1693C42—1581no—
1694C42—1581no—
1695C42—1581no—
1696C42C23×D7911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—42no—
1700C23—42no—
1701C23—81no—
1702C23—3161no—
1703C23—3161no—
1704C23—3162no—
1705C23—3162no—
1706C23—3161no—
1707C23—3161no—
1708C23—3162no—
1709C23—3162no—
1710C23—3162no—
1711C23—3162no—
1712C23—3162no—
1713C23—3162no—
1714C23—3162no—
1715C23—3162no—
1716C23—3162no—
1717C23—794no—
1718C23—791no—
1719C23—791no—
1720C23—791no—
1721C23—6321no—
1722C23—6321no—
1723C23—6321no—
1724C23—63216no—
1725C23—1584no—
1726C23—1582no—
1727C23—1581no—
1728C23—1581no—
1729C23C2×D4×D7911yescharacteristic
1730C23C2×D4×D7911yescharacteristic
1731Q8—21no—
1732Q8—21no—
1733Q8—21no—
1734Q8—21no—
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—81no—
1740Q8—81no—
1741Q8—3162no—
1742Q8—6321no—
1743Q8—6321no—
1744Q8—6321no—
1745Q8—6321no—
1746Q8—1581no—
1747Q8—1581no—
1748Q8—1581no—
1749Q8—1581no—
1750D4—22no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—42no—
1755D4—42no—
1756D4—81no—
1757D4—3162no—
1758D4—3162no—
1759D4—3162no—
1760D4—3162no—
1761D4—3162no—
1762D4—3162no—
1763D4—3162no—
1764D4—792no—
1765D4—6321no—
1766D4—6321no—
1767D4—6321no—
1768D4—1582no—
1769D4—1582no—
1770D4—1584no—
1771D4—1582no—
1772D4—1581no—
1773D4—1581no—
1774D4—1581no—
1775D4#1457920612yes—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—42no—
1787C2×C4—81no—
1788C2×C4—81no—
1789C2×C4—81no—
1790C2×C4—3162no—
1791C2×C4—3161no—
1792C2×C4—3161no—
1793C2×C4—3161no—
1794C2×C4—3161no—
1795C2×C4—3161no—
1796C2×C4—3162no—
1797C2×C4—3162no—
1798C2×C4—3162no—
1799C2×C4—3162no—
1800C2×C4—3161no—
1801C2×C4—3161no—
1802C2×C4—791no—
1803C2×C4—791no—
1804C2×C4—791no—
1805C2×C4—791no—
1806C2×C4—791no—
1807C2×C4—6321no—
1808C2×C4—6321no—
1809C2×C4—6321no—
1810C2×C4—6321no—
1811C2×C4—6321no—
1812C2×C4—6321no—
1813C2×C4—6321no—
1814C2×C4—6321no—
1815C2×C4—6321no—
1816C2×C4—1582no—
1817C2×C4—1581no—
1818C2×C4—1581no—
1819C2×C4—1581no—
1820C2×C4—1581no—
1821C2×C4—1581no—
1822C2×C4—1581no—
1823C2×C4—1581no—
1824C2×C4—1581no—
1825C2×C4—1581no—
1826C2×C4—1581no—
1827C2×C4—1581no—
1828C2×C4—1581no—
1829C2×C4C2×D4×D7911yescharacteristic
1830C2×C4C2×D4×D7911yescharacteristic
1831C2×C4C2×D4×D7911yescharacteristic
1832C2×C4C2×D4×D7911yescharacteristic
1833C2×C4C24×D7911yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—1581no—
1839C8—1581no—
1840C8—1581no—
1841C8—1581no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—22no—
1846C22—21no—
1847C22—21no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—84no—
1854C22—3164no—
1855C22—3168no—
1856C22—3161no—
1857C22—3161no—
1858C22—3161no—
1859C22—3161no—
1860C22—3161no—
1861C22—792no—
1862C22—792no—
1863C22—6324no—
1864C22—6322no—
1865C22—6324no—
1866C22—6324no—
1867C22—6324no—
1868C22—1582no—
1869C22—1581no—
1870C22—1581no—
1871C22—1581no—
1872C22—1581no—
1873C22—1581no—
1874C22—1581no—
1875C22—1581no—
1876C22#137×D7912yes—
1877C22C22×D4×D7911yescharacteristic
1878C4—21no—
1879C4—21no—
1880C4—21no—
1881C4—21no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—3161no—
1889C4—3161no—
1890C4—3161no—
1891C4—3161no—
1892C4—3161no—
1893C4—3161no—
1894C4—1581no—
1895C4—1581no—
1896C4—1581no—
1897C4—1581no—
1898C4—1581no—
1899C4H(5,𝔽2)×D7911yescharacteristic
1900C4C2×#1457920611yescharacteristic
1901C2—22no—
1902C2—41no—
1903C2—42no—
1904C2—81no—
1905C2—3162no—
1906C2—3161no—
1907C2—6321no—
1908C2—1582no—
1909C2—1582no—
1910C2#2377702811yescharacteristic
1911C2C2×#137×D7911yescharacteristic
1912C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3266C2
socleC22×C79C23×D4
prime radical#546×D79C2
hypercenter#3266D79
hypocenterC79#61570
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #23777195C2semidirect
3. #23775488C2semidirect
4. #23775487C2semidirect
5. #23775486C2semidirect
6. #23775485C2semidirect
7. #23775483C2semidirect
8. #23775481C2semidirect
9. #23775476C2semidirect
10. #23775474C2semidirect
11. #23774916C2semidirect
12. #23774913C2semidirect
13. #23774911C2semidirect
14. #23774910C2semidirect
15. #23774909C2semidirect
16. #23774904C2semidirect
17. #23774903C2semidirect
18. #23774401C2semidirect
19. #23774398C2semidirect
20. #23774204C2semidirect
21. #23774201C2semidirect
22. #23774173C2semidirect
23. #23774171C2semidirect
24. #23773498C2semidirect
25. #23773497C2semidirect
26. #23772657C2semidirect
27. #23772656C2semidirect
28. C2×#19098712C2semidirect
29. #450×D79C2semidirect
30. #23772425C2semidirect
31. C79×#3266C2semidirect
34. C2×#14579193C22semidirect
35. C2×#14579192C22semidirect
36. C2×#14579190C22semidirect
37. C22×#11929611C22semidirect
38. C2×SD16×D79C22semidirect
39. C2×SD16×D79C22semidirect
41. #19099273C22semidirect
43. #19099271C22semidirect
44. #19099271C22semidirect
45. #19099270C22semidirect
48. #19099228C22semidirect
49. Q8×C22⋊D79C22semidirect
50. Q8×C22⋊D79C22semidirect
65. #19099118C22semidirect
66. #19099117C22semidirect
70. C2×#14579137C22semidirect
73. C22⋊Q8×D79C22semidirect
81. #19098956C22semidirect
82. #19098955C22semidirect
83. #19098954C22semidirect
84. #19098924C22semidirect
85. #19098923C22semidirect
86. #19098922C22semidirect
87. #19098921C22semidirect
88. #19098900C22semidirect
89. #19098900C22semidirect
90. #19098899C22semidirect
91. #19098897C22semidirect
92. #19098897C22semidirect
93. #19098897C22semidirect
94. #19098897C22semidirect
95. #19098896C22semidirect
96. #19098878C22semidirect
97. #19098877C22semidirect
98. #19098875C22semidirect
99. #19098874C22semidirect
100. #19098844C22semidirect
101. #19098843C22semidirect
102. #19098842C22semidirect
103. #19098841C22semidirect
104. #19098812C22semidirect
105. #19098812C22semidirect
106. #19098811C22semidirect
107. #19098809C22semidirect
108. #19098807C22semidirect
109. #19098806C22semidirect
110. #19098806C22semidirect
111. #19098804C22semidirect
112. #19098803C22semidirect
113. #19098803C22semidirect
114. #19098802C22semidirect
115. #19098802C22semidirect
116. #19098801C22semidirect
117. #19098801C22semidirect
118. #19098787C22semidirect
119. #19098787C22semidirect
120. #19098786C22semidirect
121. #19098785C22semidirect
122. #19098783C22semidirect
123. #19098783C22semidirect
124. #19098782C22semidirect
125. #19098767C22semidirect
126. #19098766C22semidirect
127. #19098765C22semidirect
128. #19098727C22semidirect
129. #19098725C22semidirect
130. #19098724C22semidirect
131. #19098724C22semidirect
132. #19098723C22semidirect
133. #19098722C22semidirect
134. #19098722C22semidirect
135. #19098720C22semidirect
136. #19098720C22semidirect
137. #19098719C22semidirect
138. #19098717C22semidirect
139. #19098717C22semidirect
140. #19098717C22semidirect
141. #19098717C22semidirect
142. #19098716C22semidirect
145. #19098714C22semidirect
146. #19098713C22semidirect
153. #19098712C22semidirect
154. #19098712C22semidirect
155. #19098712C22semidirect
156. #19098712C22semidirect
157. #19098703C22semidirect
158. #19098702C22semidirect
159. #19098700C22semidirect
160. #19098666C22semidirect
161. #19098666C22semidirect
162. #19098665C22semidirect
163. #19098664C22semidirect
164. #19098664C22semidirect
165. #19098663C22semidirect
166. #19098661C22semidirect
167. #19098637C22semidirect
168. #19098636C22semidirect
169. #19098635C22semidirect
170. #19098634C22semidirect
171. #19098633C22semidirect
172. #19098632C22semidirect
173. #19098631C22semidirect
174. #19098619C22semidirect
175. #19098618C22semidirect
176. #19098565C22semidirect
177. #19098564C22semidirect
178. #19098563C22semidirect
179. #19098561C22semidirect
180. C2×#14579083C22semidirect
181. C2×#14579082C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
184. #19098526C22semidirect
185. #19098525C22semidirect
188. C2×#137×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. D4×Q8×C79C22semidirect
192. #497×C79C22semidirect
193. #468×C79C22semidirect
194. #467×C79C22semidirect
195. #464×C79C22semidirect
196. #461×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #450×C79C22semidirect
200. #448×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
213. C2×Q8×D79C23semidirect
234. C2×Dic316C23semidirect
235. C2×#11929614C23semidirect
236. C2×#11929614C23semidirect
237. C2×#11929614C23semidirect
238. C2×#11929614C23semidirect
252. C2×#11929608C23semidirect
253. C2×#11929607C23semidirect
254. C2×#11929607C23semidirect
258. #14579161C23semidirect
260. #14579160C23semidirect
263. #14579159C23semidirect
291. #14579140C23semidirect
319. #14579137C23semidirect
320. #14579137C23semidirect
340. Q8×Dic79C23semidirect
341. Q8×Dic79C23semidirect
343. C4×Dic158C23semidirect
367. C2×C4⋊Dic79C23semidirect
376. C4⋊C4×D79C23semidirect
396. #14579095C23semidirect
397. #14579095C23semidirect
398. #14579095C23semidirect
399. #14579094C23semidirect
400. #14579094C23semidirect
401. #14579094C23semidirect
402. #14579094C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579086C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579085C23semidirect
413. #14579085C23semidirect
414. #14579085C23semidirect
415. #14579085C23semidirect
416. #14579084C23semidirect
417. #14579084C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. #14579072C23semidirect
443. #14579071C23semidirect
444. #14579071C23semidirect
447. C22×Q8×C79C23semidirect
450. C2×Q16×C79C23semidirect
451. C2×Q16×C79C23semidirect
452. C2×Q16×C79C23semidirect
460. C2×M16×C79C23semidirect
463. C4⋊Q8×C79C23semidirect
470. C22⋊Q8×C79C23semidirect
474. C4×Q8×C79C23semidirect
479. #107×C79C23semidirect
480. C4⋊C8×C79C23semidirect
481. #103×C79C23semidirect
482. #103×C79C23semidirect
483. #103×C79C23semidirect
484. #103×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. #97×C79C23semidirect
770. C22×D79#137semidirect
974. #3266D79semidirect
988. C79#61570semidirect
994. C2×#137C2×D79semidirect
998. C22×SD16C2×D79semidirect
1010. D4×Q8C2×D79semidirect
1045. #497C2×D79semidirect
1073. #468C2×D79semidirect
1081. #467C2×D79semidirect
1089. #464C2×D79semidirect
1093. #461C2×D79semidirect
1101. #452C2×D79semidirect
1109. #451C2×D79semidirect
1125. #450C2×D79semidirect
1129. #448C2×D79semidirect
1137. #440C2×D79semidirect
1145. #435C2×D79semidirect
1173. C22×Q8C22×D79semidirect
1201. C2×Q16C22×D79semidirect
1202. C2×Q16C22×D79semidirect
1203. C2×Q16C22×D79semidirect
1227. C2×M16C22×D79semidirect
1239. C4⋊Q8C22×D79semidirect
1303. C22⋊Q8C22×D79semidirect
1331. C4×Q8C22×D79semidirect
1394. #107C22×D79semidirect
1398. C4⋊C8C22×D79semidirect
1411. #103C22×D79semidirect
1412. #103C22×D79semidirect
1413. #103C22×D79semidirect
1414. #103C22×D79semidirect
1442. C22⋊C8C22×D79semidirect
1446. #97C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237771952
#546×D792
#237754882
#237754872
#237754862
#237754852
#237754832
#237754812
#237754762
#237754742
#237749162
#237749132
#237749112
#237749102
#237749092
#237749042
#237749032
#237744012
#237743982
#237742042
#237742012
#237741732
#237741712
#237734982
#237734972
#237726572
#237726562
C2×#190987122
#450×D792
#237724252
C79×#32662
#6157079