Finite Group Databasebeta

← #35165258

Subgroups — #35165258

Order 20224.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776953C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic, complemented
3#23775623C211yesmaximal, characteristic, complemented
4#23775621C211yesmaximal, characteristic, complemented
5#23775600C211yesmaximal, characteristic, complemented
6#23775598C211yesmaximal, characteristic, complemented
7#23775554C211yesmaximal, characteristic, complemented
8#23775552C211yesmaximal, characteristic, complemented
9#23775487C211yesmaximal, characteristic, complemented
10#23775485C211yesmaximal, characteristic, complemented
11#23775442C211yesmaximal, characteristic, complemented
12#23775440C211yesmaximal, characteristic, complemented
13#23775359C211yesmaximal, characteristic, complemented
14#23775357C211yesmaximal, characteristic, complemented
15#23775252C211yesmaximal, characteristic, complemented
16#23775250C211yesmaximal, characteristic, complemented
17#23775229C211yesmaximal, characteristic, complemented
18#23773783C211yesmaximal, characteristic, complemented
19#23773343C211yesmaximal, characteristic, complemented
20#23773339C211yesmaximal, characteristic, complemented
21#23773195C211yesmaximal, characteristic, complemented
22#23773027C211yesmaximal, characteristic, complemented
23#23773012C211yesmaximal, characteristic, complemented
24#23772891C211yesmaximal, characteristic, complemented
25#23772643C211yesmaximal, characteristic, complemented
26#23772628C211yesmaximal, characteristic, complemented
27C4×#14579188C211yesmaximal, characteristic, complemented
28D4×#11929607C211yesmaximal, characteristic, complemented
29#23771915C211yesmaximal, characteristic, complemented
30C2×#19098566C211yesmaximal, characteristic, complemented
31C79×#3296C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic
36C2×#14579188C2211yescharacteristic
37C22×#11929607C2211yescharacteristic
38C22×#11929607C2211yescharacteristic, complemented
39#19099284C2211yescharacteristic, complemented
40#19099276C2211yescharacteristic, complemented
41#19099271C2211yescharacteristic, complemented
42#19099266C2211yescharacteristic, complemented
43#19099259C2211yescharacteristic, complemented
44#19099254C2211yescharacteristic, complemented
45#19099245—21no—
46#19099238—21no—
47#19099237—21no—
48#19099214C2211yescharacteristic, complemented
49#19099210C2211yescharacteristic
50#19099209C2211yescharacteristic
51#19099208C2211yescharacteristic
52#19099207C2211yescharacteristic
53#19099206C2211yescharacteristic
54#19099205—21no—
55#19099205—21no—
56#19099204C2211yescharacteristic
57#19099203—21no—
58#19099202—21no—
59#19099201C2211yescharacteristic
60#19099200—21no—
61#19099119C2211yescharacteristic, complemented
62#19099098—21no—
63#19099096—21no—
64#19099090—21no—
65#124×D79C2211yescharacteristic
66#19099076C2211yescharacteristic
67#19099076C2211yescharacteristic, complemented
68#123×D79—21no—
69C22⋊Q8×D79C2211yescharacteristic
70#121×D79—21no—
71#121×D79C2211yescharacteristic
72#120×D79—21no—
73C4×#11929625C2211yescharacteristic, complemented
74#19099031—21no—
75C4×D4×D79C2211yescharacteristic
76C4×D4×D79C2211yescharacteristic
77C2×#14579119C2211yescharacteristic
78#117×D79C2211yescharacteristic, complemented
79C2×C22⋊C4×D79—21no—
80#19098924C2211yescharacteristic, complemented
81#19098924C2211yescharacteristic, complemented
82#19098921C2211yescharacteristic, complemented
83#19098921C2211yescharacteristic, complemented
84#19098920C2211yescharacteristic, complemented
85#19098918C2211yescharacteristic, complemented
86#19098917C2211yescharacteristic, complemented
87#19098907C2211yescharacteristic, complemented
88#19098907C2211yescharacteristic, complemented
89#19098903C2211yescharacteristic, complemented
90#19098903C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic, complemented
92#19098896C2211yescharacteristic, complemented
93#19098893C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic, complemented
97#19098883C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098878C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098860C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic, complemented
106#19098842C2211yescharacteristic, complemented
107#19098841C2211yescharacteristic, complemented
108#19098820C2211yescharacteristic, complemented
109#19098818C2211yescharacteristic, complemented
110#19098817C2211yescharacteristic, complemented
111#19098815C2211yescharacteristic, complemented
112#19098812C2211yescharacteristic, complemented
113#19098812C2211yescharacteristic, complemented
114#19098810C2211yescharacteristic, complemented
115#19098806C2211yescharacteristic, complemented
116#19098802C2211yescharacteristic, complemented
117#19098799C2211yescharacteristic, complemented
118#19098797C2211yescharacteristic, complemented
119#19098794C2211yescharacteristic, complemented
120#19098794C2211yescharacteristic, complemented
121#19098792C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098785C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098781C2211yescharacteristic, complemented
126#19098779C2211yescharacteristic, complemented
127#19098777C2211yescharacteristic, complemented
128#19098775C2211yescharacteristic, complemented
129#19098724C2211yescharacteristic, complemented
130#19098723C2211yescharacteristic, complemented
131#19098722C2211yescharacteristic, complemented
132#19098713C2211yescharacteristic, complemented
133#19098712C2211yescharacteristic, complemented
134#19098712C2211yescharacteristic, complemented
135#19098711C2211yescharacteristic, complemented
136#19098710C2211yescharacteristic, complemented
137#19098709C2211yescharacteristic, complemented
138#19098708C2211yescharacteristic, complemented
139#19098699C2211yescharacteristic, complemented
140#19098698C2211yescharacteristic, complemented
141#19098698C2211yescharacteristic, complemented
142#19098697C2211yescharacteristic, complemented
143#19098674C2211yescharacteristic, complemented
144#19098672C2211yescharacteristic, complemented
145#19098666C2211yescharacteristic, complemented
146#19098664C2211yescharacteristic, complemented
147C4×#11929611C2211yescharacteristic, complemented
148C4×D632C2211yescharacteristic, complemented
149C4×#11929609C2211yescharacteristic, complemented
150#19098642C2211yescharacteristic, complemented
151#19098640C2211yescharacteristic, complemented
152#19098634C2211yescharacteristic, complemented
153#19098634C2211yescharacteristic, complemented
154#19098631C2211yescharacteristic, complemented
155#19098631C2211yescharacteristic, complemented
156D4×C79⋊C8C2211yescharacteristic, complemented
157#19098604C2211yescharacteristic, complemented
158#19098602C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic, complemented
160#19098585C2211yescharacteristic, complemented
161#19098570C2211yescharacteristic, complemented
162#19098570C2211yescharacteristic, complemented
163#19098570C2211yescharacteristic, complemented
164#19098566C2211yescharacteristic
165#19098566C2211yescharacteristic
166#19098566C2211yescharacteristic
167#19098566C2211yescharacteristic
168#19098566C2211yescharacteristic
169#19098566C2211yescharacteristic
170#19098566C2211yescharacteristic, complemented
171#19098566C2211yescharacteristic, complemented
172#19098566C2211yescharacteristic, complemented
173#19098566C2211yescharacteristic, complemented
174#19098563C2211yescharacteristic, complemented
175#19098563C2211yescharacteristic, complemented
176#19098563C2211yescharacteristic, complemented
177#19098561C2211yescharacteristic, complemented
178#19098561C2211yescharacteristic, complemented
179#19098560C2211yescharacteristic, complemented
180#19098559C2211yescharacteristic, complemented
181#19098557C2211yescharacteristic, complemented
182C2×#14579083C2211yescharacteristic, complemented
183C2×#14579082C2211yescharacteristic, complemented
184C2×#14579081C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic
186#19098525C2211yescharacteristic, complemented
187C4×#11929607C2211yescharacteristic, complemented
188#552×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#488×C79C2211yescharacteristic, complemented
191#483×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#464×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929625C2311yescharacteristic
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624C2311yescharacteristic
209C2×#11929623—21no—
210C2×#11929623C2311yescharacteristic
211#41×D79—24no—
212#41×D79—42no—
213C2×Q8×D79C2311yescharacteristic
214C22×D316C2311yescharacteristic
215C22×C22⋊D79—21no—
216C2×D4×D79—24no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
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#14579188—24no—
233#14579188—42no—
234C2×#11929614C2311yescharacteristic, complemented
235C2×#11929613C2311yescharacteristic, complemented
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238C2×#11929611C2311yescharacteristic, complemented
239C2×D632C2311yescharacteristic
240C2×D632C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929607—42no—
244C2×#11929607—42no—
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C2×#11929607C2311yescharacteristic
249C2×#11929607C2311yescharacteristic
250C2×#11929607C2311yescharacteristic
251C2×#11929607C2311yescharacteristic, complemented
252C2×#11929607C2311yescharacteristic, complemented
253C22×C79⋊C8C2311yescharacteristic
254C22×C79⋊C8C2311yescharacteristic, complemented
255#14579160C2311yescharacteristic, complemented
256#14579160C2311yescharacteristic, complemented
257#14579156—21no—
258#14579156—21no—
259#14579156—21no—
260#14579155—21no—
261#14579154—21no—
262#14579153C2311yescharacteristic, complemented
263#14579151—21no—
264#14579151—21no—
265#14579150C2311yescharacteristic
266#14579149—21no—
267#14579149C2311yescharacteristic
268#14579148C2311yescharacteristic
269#14579147—21no—
270#14579147—21no—
271#14579147—21no—
272#14579147—21no—
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579146—21no—
277#14579146—21no—
278#14579146—21no—
279#14579146—21no—
280#14579145—21no—
281#14579144—21no—
282#14579144—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579142—21no—
287#14579141—21no—
288#14579141C2311yescharacteristic
289#14579140C2311yescharacteristic
290#14579139—21no—
291#14579139—21no—
292#14579139—21no—
293#14579139—21no—
294#14579138—21no—
295#14579138—21no—
296#14579137C2311yescharacteristic
297#14579137C2311yescharacteristic
298#14579137C2311yescharacteristic, complemented
299#14579136—21no—
300#14579136—21no—
301#14579136C2311yescharacteristic
302#14579136C2311yescharacteristic
303#14579136C2311yescharacteristic, complemented
304#14579135—21no—
305#14579135C2311yescharacteristic
306#14579135C2311yescharacteristic
307#14579135C2311yescharacteristic, complemented
308#14579134—21no—
309#14579134—21no—
310#14579134—21no—
311#14579134—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579132—21no—
317#14579132C2311yescharacteristic
318#14579131—21no—
319#14579131—21no—
320#14579131—21no—
321#14579131—21no—
322#14579131—21no—
323#14579130—21no—
324#14579129—21no—
325#14579129—21no—
326#14579129—21no—
327Q8×Dic79C2311yescharacteristic, complemented
328#14579126—21no—
329#14579126—21no—
330#14579126—21no—
331C4×D316—21no—
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic, complemented
335D4×Dic79D411yescharacteristic
336D4×Dic79C2311yescharacteristic
337#14579123—21no—
338#14579123—21no—
339#14579123—21no—
340#14579123—21no—
341#14579123D411yescharacteristic
342#14579123C2311yescharacteristic
343#14579123C2311yescharacteristic, complemented
344C4×C22⋊D79—21no—
345C4×C22⋊D79C2311yescharacteristic
346C4×C22⋊D79C2311yescharacteristic
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4D411yescharacteristic
353(C22⋊D79)⋊C4D411yescharacteristic
354#14579120C2311yescharacteristic, complemented
355#14579119—21no—
356#14579119—21no—
357#14579119—21no—
358#14579119C2311yescharacteristic
359#14579119C2311yescharacteristic
360#14579119C2311yescharacteristic
361#14579119C2311yescharacteristic
362#14579119C2311yescharacteristic
363#14579118—21no—
364#14579118—21no—
365#14579118—21no—
366#14579117—21no—
367C2×C4⋊Dic79C2311yescharacteristic
368C4⋊C4×D79—21no—
369C4⋊C4×D79D411yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic, complemented
372C4⋊C4×D79C2311yescharacteristic, complemented
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C2×(C2×D79)⋊C4—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C22⋊C4×D79—21no—
381C22⋊C4×D79—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79D411yescharacteristic
388C22⋊C4×D79D411yescharacteristic
389C2×C4×Dic79—21no—
390C42×D79—21no—
391C42×D79—21no—
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic, complemented
394#14579095C2311yescharacteristic, complemented
395#14579094C2311yescharacteristic, complemented
396#14579094C2311yescharacteristic, complemented
397#14579094C2311yescharacteristic, complemented
398#14579093C2311yescharacteristic, complemented
399#14579092C2311yescharacteristic, complemented
400#14579092C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402C4⋊(C79⋊C8)C2311yescharacteristic, complemented
403Dic79⋊C8C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405#14579086C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579085C2311yescharacteristic, complemented
409#14579085C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579084C2311yescharacteristic, complemented
413#14579084C2311yescharacteristic, complemented
414#14579084C2311yescharacteristic, complemented
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic, complemented
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic
434#14579081C2311yescharacteristic, complemented
435C22⋊(C79⋊C8)C2311yescharacteristic
436C22⋊(C79⋊C8)C2311yescharacteristic, complemented
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic, complemented
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441#14579071C2311yescharacteristic, complemented
442#14579071C2311yescharacteristic, complemented
443C4×C79⋊C8C2311yescharacteristic, complemented
444C2×#41×C79C2311yescharacteristic
445C22×D4×C79C2311yescharacteristic
446C2×Q16×C79C2311yescharacteristic, complemented
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C22×C8×C79C2311yescharacteristic
450C22×C8×C79C2311yescharacteristic, complemented
451#126×C79—21no—
452#125×C79—21no—
453#125×C79C2311yescharacteristic, complemented
454#124×C79C2311yescharacteristic
455#123×C79—21no—
456#123×C79—21no—
457C22⋊Q8×C79C2311yescharacteristic
458C22⋊Q8×C79C2311yescharacteristic
459C22⋊Q8×C79C2311yescharacteristic, complemented
460#121×C79—21no—
461#121×C79C2311yescharacteristic
462#120×C79—21no—
463C4×Q8×C79C2311yescharacteristic, complemented
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466#117×C79—21no—
467#117×C79C2311yescharacteristic, complemented
468C2×C4⋊C4×C79C2311yescharacteristic
469C2×C22⋊C4×C79—21no—
470#107×C79C2311yescharacteristic, complemented
471#106×C79C2311yescharacteristic, complemented
472#106×C79C2311yescharacteristic, complemented
473C4⋊C8×C79C2311yescharacteristic, complemented
474#103×C79C2311yescharacteristic, complemented
475#103×C79C2311yescharacteristic, complemented
476#103×C79C2311yescharacteristic, complemented
477#103×C79C2311yescharacteristic, complemented
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic, complemented
486C4×C8×C79C2311yescharacteristic, complemented
487C23×D79—21no—
488C23×D79—21no—
489C23×D79—21no—
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—44no—
493C23×D79—44no—
494C23×D79—82no—
495C23×D79C2×D411yescharacteristic
496C23×D79C2×D411yescharacteristic
497#11929625—22no—
498#11929625—22no—
499#11929625—22no—
500#11929625—41no—
501#11929624—22no—
502#11929624—44no—
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×Dic158C2411yescharacteristic
512Q8×D79—22no—
513Q8×D79—22no—
514C2×D316—21no—
515C2×D316—21no—
516C2×D316—21no—
517C2×D316—21no—
518C2×D316—21no—
519C2×D316—22no—
520C2×D316—21no—
521C2×D316—41no—
522C2×D316C2×D411yescharacteristic
523C2×D316C2411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
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—44no—
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539D4×D79—22no—
540D4×D79—22no—
541D4×D79—22no—
542D4×D79—22no—
543D4×D79—22no—
544D4×D79—42no—
545D4×D79—44no—
546D4×D79—41no—
547D4×D79—41no—
548D4×D79—44no—
549D4×D79—44no—
550D4×D79—82no—
551D4×D79#4114yescomplemented
552C22×Dic79—21no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C22×Dic79C2×D411yescharacteristic
556C22×Dic79C2×D411yescharacteristic
557C2×C4×D79—22no—
558C2×C4×D79—22no—
559C2×C4×D79—22no—
560C2×C4×D79—22no—
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—21no—
570C2×C4×D79—21no—
571C2×C4×D79—21no—
572C2×C4×D79—44no—
573C2×C4×D79—82no—
574C2×C4×D79C2×D411yescharacteristic
575C2×C4×D79C2×D411yescharacteristic
576C2×C4×D79C2×D411yescharacteristic
577C2×C4×D79C2×D411yescharacteristic
578C2×C4×D79C2×D411yescharacteristic
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2411yescharacteristic
581C2×C4×D79C2411yescharacteristic
582C2×C4×D79C2411yescharacteristic
583#11929614—41no—
584#11929613—41no—
585#11929611—22no—
586#11929611—41no—
587#11929611—41no—
588D632—22no—
589D632—41no—
590#11929609—22no—
591#11929609—41no—
592#11929607—22no—
593#11929607—22no—
594#11929607—22no—
595#11929607—22no—
596#11929607—41no—
597#11929607—41no—
598#11929607—41no—
599#11929607—41no—
600C2×C79⋊C8—41no—
601C2×C79⋊C8—41no—
602C2×C79⋊C8C2411yescharacteristic
603C2×C79⋊C8C2411yescharacteristic
604C2×C79⋊C8C2411yescharacteristic
605C2×C79⋊C8C2411yescharacteristic
606C4⋊Dic79—21no—
607C4⋊Dic79—21no—
608C4⋊Dic79—21no—
609C4⋊Dic79C2×D411yescharacteristic
610C4⋊Dic79C2411yescharacteristic
611C4⋊Dic79C2411yescharacteristic
612C4⋊Dic79C2411yescharacteristic
613C4⋊Dic79C2411yescharacteristic
614Dic79⋊C4—21no—
615Dic79⋊C4—21no—
616Dic79⋊C4—21no—
617Dic79⋊C4—21no—
618Dic79⋊C4—21no—
619Dic79⋊C4—21no—
620Dic79⋊C4—21no—
621Dic79⋊C4—21no—
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4C2×D411yescharacteristic
626Dic79⋊C4C2×D411yescharacteristic
627C22⋊Dic79—21no—
628C22⋊Dic79—21no—
629C22⋊Dic79—21no—
630C22⋊Dic79—21no—
631C22⋊Dic79—21no—
632C22⋊Dic79—21no—
633C22⋊Dic79C2×D411yescharacteristic
634C22⋊Dic79C2×D411yescharacteristic
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4—21no—
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊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)⋊C4C2×D411yescharacteristic
659(C2×D79)⋊C4C2×D411yescharacteristic
660(C2×D79)⋊C4C2×D411yescharacteristic
661(C2×D79)⋊C4C2×D411yescharacteristic
662C4×Dic79—21no—
663C4×Dic79—21no—
664C4×Dic79—21no—
665C4×Dic79—21no—
666C4×Dic79—21no—
667C4×Dic79—21no—
668C4×Dic79—21no—
669C4×Dic79C2×D411yescharacteristic
670C4×Dic79C2×D411yescharacteristic
671C4×Dic79C2411yescharacteristic
672C24×C79—21no—
673#41×C79—22no—
674#41×C79—41no—
675C2×Q8×C79C2411yescharacteristic
676C2×Q8×C79C2411yescharacteristic
677C2×D4×C79—22no—
678C2×D4×C79—21no—
679C2×D4×C79—21no—
680C2×D4×C79—21no—
681C2×D4×C79—41no—
682C2×D4×C79C2×D411yescharacteristic
683C2×D4×C79C2411yescharacteristic
684C2×D4×C79C2411yescharacteristic
685C22×C4×C79—21no—
686C22×C4×C79—21no—
687C22×C4×C79—21no—
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2411yescharacteristic
690Q16×C79—41no—
691SD16×C79—22no—
692SD16×C79—41no—
693C2×C8×C79—41no—
694C2×C8×C79—41no—
695C2×C8×C79C2411yescharacteristic
696C2×C8×C79C2411yescharacteristic
697C2×C8×C79C2411yescharacteristic
698C2×C8×C79C2411yescharacteristic
699C4⋊C4×C79—21no—
700C4⋊C4×C79—21no—
701C4⋊C4×C79—21no—
702C4⋊C4×C79—21no—
703C4⋊C4×C79—21no—
704C4⋊C4×C79—21no—
705C4⋊C4×C79—21no—
706C4⋊C4×C79C2×D411yescharacteristic
707C4⋊C4×C79C2411yescharacteristic
708C4⋊C4×C79C2411yescharacteristic
709C4⋊C4×C79C2411yescharacteristic
710C4⋊C4×C79C2411yescharacteristic
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79—21no—
719C22⋊C4×C79C2×D411yescharacteristic
720C22⋊C4×C79C2×D411yescharacteristic
721C42×C79—21no—
722C42×C79—21no—
723C42×C79C2411yescharacteristic
724C23×C79—21no—
725C23×C79—21no—
726C23×C79—42no—
727C23×C79—42no—
728C23×C79—81no—
729C23×C79C22×D411yescharacteristic
730C23×C79C22×D411yescharacteristic
731C22×D79—22no—
732C22×D79—21no—
733C22×D79—22no—
734C22×D79—24no—
735C22×D79—22no—
736C22×D79—21no—
737C22×D79—21no—
738C22×D79—41no—
739C22×D79—41no—
740C22×D79—41no—
741C22×D79—42no—
742C22×D79—42no—
743C22×D79—42no—
744C22×D79—42no—
745C22×D79—42no—
746C22×D79—42no—
747C22×D79—42no—
748C22×D79—42no—
749C22×D79—42no—
750C22×D79—42no—
751C22×D79—42no—
752C22×D79—81no—
753C22×D79—81no—
754C22×D79—81no—
755C22×D79—816no—
756C22×D79C22×D411yescharacteristic
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—21no—
763D4×C79—22no—
764D4×C79—21no—
765D4×C79—21no—
766D4×C79—21no—
767D4×C79—42no—
768D4×C79—42no—
769D4×C79—81no—
770D4×C79C2×#4112yes—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—42no—
782C2×C4×C79—42no—
783C2×C4×C79—81no—
784C2×C4×C79C22×D411yescharacteristic
785C2×C4×C79C22×D411yescharacteristic
786C2×C4×C79C22×D411yescharacteristic
787C2×C4×C79C22×D411yescharacteristic
788C2×C4×C79C2511yescharacteristic
789C22⋊D79—22no—
790C22⋊D79—24no—
791C22⋊D79—41no—
792C22⋊D79—42no—
793C22⋊D79—42no—
794C22⋊D79—42no—
795C22⋊D79—42no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—81no—
799C22⋊D79—81no—
800C22⋊D79—81no—
801C2×Dic79—22no—
802C2×Dic79—22no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—42no—
809C2×Dic79—81no—
810C2×Dic79—81no—
811C2×Dic79C22×D411yescharacteristic
812C2×Dic79C22×D411yescharacteristic
813C2×Dic79C22×D411yescharacteristic
814C2×Dic79C22×D411yescharacteristic
815C2×Dic79C22×D411yescharacteristic
816D316—21no—
817D316—21no—
818D316—21no—
819D316—21no—
820D316—21no—
821D316—41no—
822D316—42no—
823D316—42no—
824D316—42no—
825D316—42no—
826D316—81no—
827D316—81no—
828D316C2×#4112yes—
829C4×D79—22no—
830C4×D79—22no—
831C4×D79—21no—
832C4×D79—21no—
833C4×D79—21no—
834C4×D79—21no—
835C4×D79—22no—
836C4×D79—22no—
837C4×D79—41no—
838C4×D79—41no—
839C4×D79—42no—
840C4×D79—42no—
841C4×D79—42no—
842C4×D79—42no—
843C4×D79—42no—
844C4×D79—42no—
845C4×D79—42no—
846C4×D79—81no—
847C4×D79—81no—
848C4×D79—81no—
849C4×D79—81no—
850C4×D79C2×#4112yes—
851C4×D79H(5,𝔽2)12yes—
852Dic158—21no—
853Dic158—21no—
854Dic158—42no—
855Dic158—42no—
856Dic158—81no—
857C8×C79—21no—
858C8×C79—21no—
859C8×C79—21no—
860C8×C79—21no—
861C79⋊C8—21no—
862C79⋊C8—21no—
863C79⋊C8—21no—
864C79⋊C8—21no—
865C22×C79—21no—
866C22×C79—21no—
867C22×C79—21no—
868C22×C79—22no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—41no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79—41no—
876C22×C79—84no—
877C22×C79#57512yes—
878C22×C79C23×D411yescharacteristic
879C2×D79—21no—
880C2×D79—21no—
881C2×D79—21no—
882C2×D79—21no—
883C2×D79—22no—
884C2×D79—21no—
885C2×D79—21no—
886C2×D79—21no—
887C2×D79—21no—
888C2×D79—44no—
889C2×D79—48no—
890C2×D79—41no—
891C2×D79—41no—
892C2×D79—41no—
893C2×D79—41no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—41no—
898C2×D79—82no—
899C2×D79—84no—
900C2×D79—84no—
901C2×D79—84no—
902C2×D79—84no—
903C2×D79#54612yes—
904C4×C79—21no—
905C4×C79—21no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—41no—
909C4×C79—41no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79C22×#4111yescharacteristic
915C4×C79C2×H(5,𝔽2)11yescharacteristic
916Dic79—21no—
917Dic79—21no—
918Dic79—21no—
919Dic79—21no—
920Dic79—41no—
921Dic79—41no—
922Dic79—41no—
923Dic79—41no—
924Dic79—41no—
925Dic79#54612yes—
926#61156—791nomaximal, Sylow
927C2×C79—22no—
928C2×C79—42no—
929C2×C79—41no—
930C2×C79—81no—
931C2×C79C2×#54611yescharacteristic
932C2×C79C2×#57511yescharacteristic
933C2×C79#358511yescharacteristic
934D79—22no—
935D79—41no—
936D79—41no—
937D79—42no—
938D79—81no—
939D79—81no—
940#3475—791no—
941C2×#546—791no—
942#3323—791no—
943#3323—791no—
944#3322—791no—
945#3322—791no—
946#3319—791no—
947#3319—791no—
948#3314—791no—
949#3314—791no—
950#3311—791no—
951#3311—791no—
952#3306—791no—
953#3306—791no—
954#3297—791no—
955#3297—791no—
956#3296—791no—
957#3296D7911yescharacteristic, complemented
958#3140—791no—
959#3095—791no—
960#3094—791no—
961#3077—791no—
962#3056—791no—
963#3055—791no—
964#3040—791no—
965#3005—791no—
966#3003—791no—
967C4×AGL(1,ℤ/8)—791no—
968D4×M16—791no—
969#2896—791no—
970C2×#418—791no—
971C79#6115611yescharacteristic, complemented, Sylow
972C22×#41—791no—
973C23×D4—791no—
974C2×#137—791no—
975C2×AGL(1,ℤ/8)—791no—
976C2×AGL(1,ℤ/8)—791no—
977C22×M16—791no—
978C22×M16—791no—
979#556—791no—
980#555—791no—
981#554—791no—
982#553—791no—
983#553—791no—
984#552—791no—
985#552—1581no—
986#552C2×D7911yescharacteristic, complemented
987#551—1581no—
988#551—1581no—
989#547—791no—
990#546—791no—
991#546—791no—
992#546—791no—
993#546—791no—
994#546—791no—
995#546—791no—
996#546—791no—
997#546—1581no—
998#546—1581no—
999#546—1581no—
1000#546—1581no—
1001#546—1581no—
1002#546C2×D7911yescharacteristic
1003#533—791no—
1004#529—1581no—
1005#529—1581no—
1006#529—1581no—
1007C2×#124—791no—
1008#525—791no—
1009#525—791no—
1010C2×#123—1581no—
1011C2×C22⋊Q8—791no—
1012C2×#121—791no—
1013C2×#121—1581no—
1014C2×#120—1581no—
1015C4×#41—791no—
1016C4×#41—1581no—
1017C2×C4×D4—791no—
1018C2×C4×D4—791no—
1019C2×#117—791no—
1020C2×#117—791no—
1021C22×C22⋊C4—1581no—
1022#489—791no—
1023#489—791no—
1024#489—791no—
1025#489—791no—
1026#488—791no—
1027#488—791no—
1028#488—791no—
1029#488C2×D7911yescharacteristic, complemented
1030#485—791no—
1031#485—791no—
1032#485—791no—
1033#485—791no—
1034#484—791no—
1035#484—791no—
1036#483—791no—
1037#483C2×D7911yescharacteristic, complemented
1038#482—791no—
1039#482—791no—
1040#482—791no—
1041#482C2×D7911yescharacteristic, complemented
1042#481—791no—
1043#481—791no—
1044#480—791no—
1045#480—791no—
1046#478—791no—
1047#478—791no—
1048#478—791no—
1049#478C2×D7911yescharacteristic, complemented
1050#476—791no—
1051#476—791no—
1052#474—791no—
1053#474—791no—
1054#470—791no—
1055#470—791no—
1056#469—791no—
1057#469—791no—
1058#468—791no—
1059#468—791no—
1060#468—791no—
1061#468—791no—
1062#467—791no—
1063#467C2×D7911yescharacteristic, complemented
1064#466—791no—
1065#466—791no—
1066#465—791no—
1067#465—791no—
1068#465—791no—
1069#465C2×D7911yescharacteristic, complemented
1070#464—791no—
1071#464—791no—
1072#464—791no—
1073#464C2×D7911yescharacteristic, complemented
1074#463—791no—
1075#463—791no—
1076#463—791no—
1077#463—791no—
1078#452—791no—
1079#452—791no—
1080#452—791no—
1081#452C2×D7911yescharacteristic, complemented
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450C2×D7911yescharacteristic, complemented
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#447—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#442—791no—
1095#442—791no—
1096#440—791no—
1097#440—791no—
1098C4×SD16—791no—
1099C4×SD16C2×D7911yescharacteristic, complemented
1100C4×D8—791no—
1101C4×D8—791no—
1102#436—791no—
1103#436—791no—
1104#435—791no—
1105#435—791no—
1106#435—791no—
1107#435—791no—
1108C8×D4—791no—
1109C8×D4C2×D7911yescharacteristic, complemented
1110#428—791no—
1111#428—791no—
1112#428—791no—
1113#423—791no—
1114#419—791no—
1115#419—791no—
1116#419—791no—
1117#418—791no—
1118#418—791no—
1119#418—791no—
1120#418—791no—
1121#418—791no—
1122#418—791no—
1123#418—791no—
1124#418—791no—
1125#418—791no—
1126#418—791no—
1127#417—791no—
1128#417—791no—
1129#417—791no—
1130#417—791no—
1131#417—791no—
1132#416—791no—
1133#416—791no—
1134#416—791no—
1135#416C2×D7911yescharacteristic, complemented
1136C2×#102—791no—
1137C2×#102—791no—
1138C2×#102—791no—
1139C2×#102C2×D7911yescharacteristic, complemented
1140#407—791no—
1141#407—791no—
1142C4×M16—791no—
1143C25—1581no—
1144C2×#41—3162no—
1145C2×#41—791no—
1146C2×#41—791no—
1147C2×#41—791no—
1148C2×#41—791no—
1149C2×#41—1581no—
1150C2×#41—1581no—
1151C2×#41—1584no—
1152C2×#41—1581no—
1153C2×#41C22×D7911yescharacteristic
1154C22×Q8—791no—
1155C22×D4—3162no—
1156C22×D4—791no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—791no—
1162C22×D4—1581no—
1163C22×D4—1581no—
1164C22×D4—1581no—
1165C22×D4—1581no—
1166C22×D4—1584no—
1167C22×D4—1581no—
1168C22×D4C22×D7911yescharacteristic
1169C23×C4—791no—
1170C23×C4—791no—
1171C23×C4—1581no—
1172C23×C4—1581no—
1173#137—3162no—
1174AGL(1,ℤ/8)—3162no—
1175AGL(1,ℤ/8)—1584no—
1176C2×Q16—791no—
1177C2×Q16C22×D7911yescharacteristic, complemented
1178C2×SD16—791no—
1179C2×SD16—791no—
1180C2×SD16—791no—
1181C2×SD16—791no—
1182C2×SD16C22×D7911yescharacteristic
1183C2×SD16C22×D7911yescharacteristic
1184C2×D8—791no—
1185C2×D8—791no—
1186C2×D8—791no—
1187C2×D8—791no—
1188C2×M16—3162no—
1189C2×M16—3162no—
1190C2×M16—791no—
1191C2×M16—791no—
1192C2×M16—791no—
1193C2×M16—791no—
1194C2×M16—791no—
1195C2×M16—791no—
1196C2×M16—791no—
1197C2×M16—791no—
1198C22×C8—791no—
1199C22×C8—791no—
1200C22×C8C22×D7911yescharacteristic
1201C22×C8C22×D7911yescharacteristic, complemented
1202C4⋊Q8—791no—
1203C4⋊Q8—791no—
1204#126—21no—
1205#126—1581no—
1206#126—1581no—
1207#126—1581no—
1208#126—1581no—
1209#126—1581no—
1210#125—21no—
1211#125—791no—
1212#125—1581no—
1213#125—1581no—
1214#125C22×D7911yescharacteristic, complemented
1215#124—791no—
1216#124—791no—
1217#124—791no—
1218#124—1581no—
1219#124—1581no—
1220#124—1581no—
1221#124—1581no—
1222#124—1581no—
1223#124C22×D7911yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—791no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8—1581no—
1249C22⋊Q8—1581no—
1250C22⋊Q8—1581no—
1251C22⋊Q8—1581no—
1252C22⋊Q8C22×D7911yescharacteristic
1253C22⋊Q8C22×D7911yescharacteristic
1254C22⋊Q8C22×D7911yescharacteristic, complemented
1255#121—21no—
1256#121—791no—
1257#121—791no—
1258#121—791no—
1259#121—791no—
1260#121—791no—
1261#121—791no—
1262#121—791no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121C22×D7911yescharacteristic
1276#120—21no—
1277#120—1581no—
1278#120—1581no—
1279#120—1581no—
1280#120—1581no—
1281#120—1581no—
1282#120—1581no—
1283#120—1581no—
1284#120—1581no—
1285#120—1581no—
1286C4×Q8—791no—
1287C4×Q8—1581no—
1288C4×Q8—1581no—
1289C4×Q8—1581no—
1290C4×Q8C22×D7911yescharacteristic, complemented
1291C4×D4—791no—
1292C4×D4—791no—
1293C4×D4—791no—
1294C4×D4—791no—
1295C4×D4—791no—
1296C4×D4—791no—
1297C4×D4—791no—
1298C4×D4—791no—
1299C4×D4—791no—
1300C4×D4—791no—
1301C4×D4—791no—
1302C4×D4—791no—
1303C4×D4—1581no—
1304C4×D4—1581no—
1305C4×D4—1581no—
1306C4×D4—1581no—
1307C4×D4—1581no—
1308C4×D4—1581no—
1309C4×D4—1581no—
1310C4×D4—1581no—
1311C4×D4—1581no—
1312C4×D4—1581no—
1313C4×D4—1581no—
1314C4×D4C22×D7911yescharacteristic
1315C4×D4C22×D7911yescharacteristic
1316#117—21no—
1317#117—791no—
1318#117—791no—
1319#117—791no—
1320#117—791no—
1321#117—791no—
1322#117—791no—
1323#117—1581no—
1324#117—1581no—
1325#117—1581no—
1326#117—1581no—
1327#117—1581no—
1328#117—1581no—
1329#117—1581no—
1330#117C22×D7911yescharacteristic, complemented
1331C2×C4⋊C4—791no—
1332C2×C4⋊C4—791no—
1333C2×C4⋊C4—791no—
1334C2×C4⋊C4—791no—
1335C2×C4⋊C4—791no—
1336C2×C4⋊C4—1581no—
1337C2×C4⋊C4C22×D7911yescharacteristic
1338C2×C22⋊C4—21no—
1339C2×C22⋊C4—791no—
1340C2×C22⋊C4—791no—
1341C2×C22⋊C4—1581no—
1342C2×C22⋊C4—1581no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C22⋊C4—1581no—
1350C2×C22⋊C4—1581no—
1351C2×C22⋊C4—1581no—
1352C2×C22⋊C4—1581no—
1353C2×C22⋊C4—1581no—
1354C2×C22⋊C4—1581no—
1355C2×C42—791no—
1356C2×C42—1581no—
1357C2×C42—1581no—
1358C2×C42—1581no—
1359#107—791no—
1360#107—791no—
1361#107—791no—
1362#107—791no—
1363#107—791no—
1364#107C22×D7911yescharacteristic, complemented
1365#106—791no—
1366#106—791no—
1367#106—791no—
1368#106—791no—
1369#106C22×D7911yescharacteristic, complemented
1370#106C22×D7911yescharacteristic, complemented
1371C4⋊C8—791no—
1372C4⋊C8—791no—
1373C4⋊C8—791no—
1374C4⋊C8C22×D7911yescharacteristic, complemented
1375#103—791no—
1376#103—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#103—791no—
1385#103C22×D7911yescharacteristic, complemented
1386#103C22×D7911yescharacteristic, complemented
1387#103C22×D7911yescharacteristic, complemented
1388#103C22×D7911yescharacteristic, complemented
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102—791no—
1393#102—791no—
1394#102—791no—
1395#102—791no—
1396#102—791no—
1397#102—791no—
1398#102—791no—
1399#102—791no—
1400#102—791no—
1401#102—791no—
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102C22×D7911yescharacteristic
1410#102C22×D7911yescharacteristic
1411#102C22×D7911yescharacteristic
1412#102C22×D7911yescharacteristic
1413#102C22×D7911yescharacteristic
1414#102C22×D7911yescharacteristic
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8C22×D7911yescharacteristic
1422C22⋊C8C22×D7911yescharacteristic, complemented
1423#97—791no—
1424#97—791no—
1425C4×C8—791no—
1426C4×C8C22×D7911yescharacteristic, complemented
1427C24—21no—
1428C24—3164no—
1429C24—3164no—
1430C24—791no—
1431C24—791no—
1432C24—6322no—
1433C24—1581no—
1434C24—1581no—
1435C24—1581no—
1436C24—1581no—
1437C24—1581no—
1438#41—22no—
1439#41—41no—
1440#41—3161no—
1441#41—3164no—
1442#41—3164no—
1443#41—3161no—
1444#41—3164no—
1445#41—3161no—
1446#41—1582no—
1447#41—1582no—
1448#41—1582no—
1449#41—1582no—
1450#41—1582no—
1451C2×Q8—791no—
1452C2×Q8—1581no—
1453C2×Q8—1581no—
1454C2×Q8—1581no—
1455C2×Q8—1582no—
1456C2×Q8—1582no—
1457C2×Q8C23×D7911yescharacteristic
1458C2×Q8C23×D7911yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—3161no—
1465C2×D4—3162no—
1466C2×D4—3164no—
1467C2×D4—3161no—
1468C2×D4—3161no—
1469C2×D4—3164no—
1470C2×D4—3164no—
1471C2×D4—3164no—
1472C2×D4—791no—
1473C2×D4—794no—
1474C2×D4—791no—
1475C2×D4—791no—
1476C2×D4—791no—
1477C2×D4—791no—
1478C2×D4—791no—
1479C2×D4—6322no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1582no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4—1582no—
1487C2×D4—1582no—
1488C2×D4—1582no—
1489C2×D4—1581no—
1490C2×D4—1581no—
1491C2×D4—1581no—
1492C2×D4—1581no—
1493C2×D4—1582no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1582no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4D4×D7911yescharacteristic
1503C2×D4C23×D7911yescharacteristic
1504C2×D4C23×D7911yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—3164no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—791no—
1520C22×C4—6322no—
1521C22×C4—1581no—
1522C22×C4—1581no—
1523C22×C4—1581no—
1524C22×C4—1581no—
1525C22×C4—1581no—
1526C22×C4—1581no—
1527C22×C4—1581no—
1528C22×C4—1582no—
1529C22×C4—1582no—
1530C22×C4—1582no—
1531C22×C4—1582no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541Q16—41no—
1542Q16—3161no—
1543SD16—22no—
1544SD16—41no—
1545SD16—3161no—
1546SD16—3161no—
1547SD16—3161no—
1548SD16—1582no—
1549D8—3161no—
1550D8—3161no—
1551D8—1582no—
1552D8—1582no—
1553M16—3161no—
1554M16—3161no—
1555M16—3161no—
1556M16—3161no—
1557M16—1582no—
1558M16—1582no—
1559M16—1582no—
1560M16—1582no—
1561C2×C8—41no—
1562C2×C8—41no—
1563C2×C8—3161no—
1564C2×C8—3161no—
1565C2×C8—791no—
1566C2×C8—791no—
1567C2×C8—791no—
1568C2×C8—791no—
1569C2×C8C23×D7911yescharacteristic
1570C2×C8C23×D7911yescharacteristic
1571C2×C8C23×D7911yescharacteristic
1572C2×C8C23×D7911yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—791no—
1581C4⋊C4—791no—
1582C4⋊C4—791no—
1583C4⋊C4—791no—
1584C4⋊C4—791no—
1585C4⋊C4—791no—
1586C4⋊C4—791no—
1587C4⋊C4—1581no—
1588C4⋊C4—1581no—
1589C4⋊C4—1581no—
1590C4⋊C4—1581no—
1591C4⋊C4—1581no—
1592C4⋊C4—1581no—
1593C4⋊C4—1581no—
1594C4⋊C4—1581no—
1595C4⋊C4—1581no—
1596C4⋊C4—1581no—
1597C4⋊C4—1581no—
1598C4⋊C4—1581no—
1599C4⋊C4—1581no—
1600C4⋊C4—1581no—
1601C4⋊C4D4×D7911yescharacteristic
1602C4⋊C4C23×D7911yescharacteristic
1603C4⋊C4C23×D7911yescharacteristic
1604C4⋊C4C23×D7911yescharacteristic
1605C4⋊C4C23×D7911yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—791no—
1615C22⋊C4—791no—
1616C22⋊C4—791no—
1617C22⋊C4—791no—
1618C22⋊C4—791no—
1619C22⋊C4—791no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4—1581no—
1629C22⋊C4—1581no—
1630C22⋊C4—1581no—
1631C22⋊C4—1581no—
1632C22⋊C4—1581no—
1633C22⋊C4—1581no—
1634C22⋊C4—1581no—
1635C22⋊C4—1581no—
1636C22⋊C4—1581no—
1637C22⋊C4—1581no—
1638C22⋊C4—1581no—
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4D4×D7911yescharacteristic
1650C22⋊C4D4×D7911yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—791no—
1654C42—791no—
1655C42—791no—
1656C42—1581no—
1657C42—1581no—
1658C42—1581no—
1659C42—1581no—
1660C42—1581no—
1661C42—1581no—
1662C42—1581no—
1663C42C23×D7911yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—3161no—
1670C23—3162no—
1671C23—3162no—
1672C23—3161no—
1673C23—3161no—
1674C23—3162no—
1675C23—3162no—
1676C23—3162no—
1677C23—3162no—
1678C23—3162no—
1679C23—3162no—
1680C23—3162no—
1681C23—3162no—
1682C23—3162no—
1683C23—791no—
1684C23—791no—
1685C23—791no—
1686C23—6321no—
1687C23—6321no—
1688C23—6321no—
1689C23—63216no—
1690C23—1584no—
1691C23—1582no—
1692C23—1582no—
1693C23—1581no—
1694C23—1581no—
1695C23—1582no—
1696C23—1581no—
1697C23C2×D4×D7911yescharacteristic
1698C23C2×D4×D7911yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—3162no—
1704Q8—3162no—
1705Q8—6321no—
1706Q8—1581no—
1707Q8—1581no—
1708D4—22no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—3162no—
1716D4—3161no—
1717D4—3162no—
1718D4—3162no—
1719D4—3162no—
1720D4—3162no—
1721D4—3162no—
1722D4—3162no—
1723D4—3162no—
1724D4—3162no—
1725D4—3161no—
1726D4—3162no—
1727D4—792no—
1728D4—6321no—
1729D4—6321no—
1730D4—6321no—
1731D4—6321no—
1732D4—6321no—
1733D4—1584no—
1734D4—1582no—
1735D4—1581no—
1736D4—1581no—
1737D4—1581no—
1738D4—1581no—
1739D4—1581no—
1740D4#41×D7912yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—3162no—
1755C2×C4—3161no—
1756C2×C4—3161no—
1757C2×C4—3162no—
1758C2×C4—3162no—
1759C2×C4—3162no—
1760C2×C4—3162no—
1761C2×C4—3162no—
1762C2×C4—3162no—
1763C2×C4—3162no—
1764C2×C4—791no—
1765C2×C4—792no—
1766C2×C4—792no—
1767C2×C4—791no—
1768C2×C4—791no—
1769C2×C4—791no—
1770C2×C4—791no—
1771C2×C4—6321no—
1772C2×C4—6321no—
1773C2×C4—6321no—
1774C2×C4—6321no—
1775C2×C4—6321no—
1776C2×C4—6321no—
1777C2×C4—1582no—
1778C2×C4—1582no—
1779C2×C4—1582no—
1780C2×C4—1582no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1582no—
1787C2×C4—1582no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4C2×D4×D7911yescharacteristic
1793C2×C4C2×D4×D7911yescharacteristic
1794C2×C4C2×D4×D7911yescharacteristic
1795C2×C4C2×D4×D7911yescharacteristic
1796C2×C4C24×D7911yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1581no—
1802C8—1581no—
1803C8—1581no—
1804C8—1581no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—84no—
1817C22—3164no—
1818C22—3168no—
1819C22—3161no—
1820C22—3161no—
1821C22—3161no—
1822C22—3161no—
1823C22—3161no—
1824C22—3161no—
1825C22—3161no—
1826C22—3161no—
1827C22—792no—
1828C22—6324no—
1829C22—6324no—
1830C22—6322no—
1831C22—6324no—
1832C22—6324no—
1833C22—1582no—
1834C22—1581no—
1835C22—1581no—
1836C22—1581no—
1837C22—1581no—
1838C22—1581no—
1839C22—1581no—
1840C22—1581no—
1841C22—1581no—
1842C22#1909936012yes—
1843C22C22×D4×D7911yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—3161no—
1855C4—3161no—
1856C4—3161no—
1857C4—3161no—
1858C4—3161no—
1859C4—792no—
1860C4—1581no—
1861C4—1581no—
1862C4—1581no—
1863C4—1581no—
1864C4C2×#41×D7911yescharacteristic
1865C4H(5,𝔽2)×D7911yescharacteristic
1866C2—22no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—3162no—
1871C2—3161no—
1872C2—3161no—
1873C2—6321no—
1874C2—6321no—
1875C2—1582no—
1876C2#546×D7911yescharacteristic
1877C2C2×#1909936011yescharacteristic
1878C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3296C2
socleC22×C79C23×D4
hypercenter#3296D79
hypocenterC79#61156
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #23776953C2semidirect
2. #546×D79C2semidirect
3. #23775623C2semidirect
4. #23775621C2semidirect
5. #23775600C2semidirect
6. #23775598C2semidirect
7. #23775554C2semidirect
8. #23775552C2semidirect
9. #23775487C2semidirect
10. #23775485C2semidirect
11. #23775442C2semidirect
12. #23775440C2semidirect
13. #23775359C2semidirect
14. #23775357C2semidirect
15. #23775252C2semidirect
16. #23775250C2semidirect
17. #23775229C2semidirect
18. #23773783C2semidirect
19. #23773343C2semidirect
20. #23773339C2semidirect
21. #23773195C2semidirect
22. #23773027C2semidirect
23. #23773012C2semidirect
24. #23772891C2semidirect
25. #23772643C2semidirect
26. #23772628C2semidirect
27. C4×#14579188C2semidirect
28. D4×#11929607C2semidirect
29. #23771915C2semidirect
30. C2×#19098566C2semidirect
31. C79×#3296C2semidirect
34. C2×#14579193C22semidirect
38. C22×#11929607C22semidirect
39. #19099284C22semidirect
40. #19099276C22semidirect
41. #19099271C22semidirect
42. #19099266C22semidirect
43. #19099259C22semidirect
44. #19099254C22semidirect
48. #19099214C22semidirect
61. #19099119C22semidirect
67. #19099076C22semidirect
73. C4×#11929625C22semidirect
78. #117×D79C22semidirect
80. #19098924C22semidirect
81. #19098924C22semidirect
82. #19098921C22semidirect
83. #19098921C22semidirect
84. #19098920C22semidirect
85. #19098918C22semidirect
86. #19098917C22semidirect
87. #19098907C22semidirect
88. #19098907C22semidirect
89. #19098903C22semidirect
90. #19098903C22semidirect
91. #19098899C22semidirect
92. #19098896C22semidirect
93. #19098893C22semidirect
94. #19098888C22semidirect
95. #19098887C22semidirect
96. #19098884C22semidirect
97. #19098883C22semidirect
98. #19098880C22semidirect
99. #19098878C22semidirect
100. #19098875C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098860C22semidirect
104. #19098852C22semidirect
105. #19098851C22semidirect
106. #19098842C22semidirect
107. #19098841C22semidirect
108. #19098820C22semidirect
109. #19098818C22semidirect
110. #19098817C22semidirect
111. #19098815C22semidirect
112. #19098812C22semidirect
113. #19098812C22semidirect
114. #19098810C22semidirect
115. #19098806C22semidirect
116. #19098802C22semidirect
117. #19098799C22semidirect
118. #19098797C22semidirect
119. #19098794C22semidirect
120. #19098794C22semidirect
121. #19098792C22semidirect
122. #19098787C22semidirect
123. #19098785C22semidirect
124. #19098783C22semidirect
125. #19098781C22semidirect
126. #19098779C22semidirect
127. #19098777C22semidirect
128. #19098775C22semidirect
129. #19098724C22semidirect
130. #19098723C22semidirect
131. #19098722C22semidirect
132. #19098713C22semidirect
133. #19098712C22semidirect
134. #19098712C22semidirect
135. #19098711C22semidirect
136. #19098710C22semidirect
137. #19098709C22semidirect
138. #19098708C22semidirect
139. #19098699C22semidirect
140. #19098698C22semidirect
141. #19098698C22semidirect
142. #19098697C22semidirect
143. #19098674C22semidirect
144. #19098672C22semidirect
145. #19098666C22semidirect
146. #19098664C22semidirect
147. C4×#11929611C22semidirect
148. C4×D632C22semidirect
149. C4×#11929609C22semidirect
150. #19098642C22semidirect
151. #19098640C22semidirect
152. #19098634C22semidirect
153. #19098634C22semidirect
154. #19098631C22semidirect
155. #19098631C22semidirect
156. D4×C79⋊C8C22semidirect
157. #19098604C22semidirect
158. #19098602C22semidirect
159. #19098602C22semidirect
160. #19098585C22semidirect
161. #19098570C22semidirect
162. #19098570C22semidirect
163. #19098570C22semidirect
170. #19098566C22semidirect
171. #19098566C22semidirect
172. #19098566C22semidirect
173. #19098566C22semidirect
174. #19098563C22semidirect
175. #19098563C22semidirect
176. #19098563C22semidirect
177. #19098561C22semidirect
178. #19098561C22semidirect
179. #19098560C22semidirect
180. #19098559C22semidirect
181. #19098557C22semidirect
182. C2×#14579083C22semidirect
183. C2×#14579082C22semidirect
184. C2×#14579081C22semidirect
186. #19098525C22semidirect
187. C4×#11929607C22semidirect
188. #552×C79C22semidirect
190. #488×C79C22semidirect
191. #483×C79C22semidirect
192. #482×C79C22semidirect
193. #478×C79C22semidirect
194. #467×C79C22semidirect
195. #465×C79C22semidirect
196. #464×C79C22semidirect
197. #452×C79C22semidirect
198. #450×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#102×C79C22semidirect
234. C2×#11929614C23semidirect
235. C2×#11929613C23semidirect
238. C2×#11929611C23semidirect
251. C2×#11929607C23semidirect
252. C2×#11929607C23semidirect
254. C22×C79⋊C8C23semidirect
255. #14579160C23semidirect
256. #14579160C23semidirect
262. #14579153C23semidirect
298. #14579137C23semidirect
303. #14579136C23semidirect
307. #14579135C23semidirect
327. Q8×Dic79C23semidirect
334. C4×D316C23semidirect
343. #14579123C23semidirect
354. #14579120C23semidirect
371. C4⋊C4×D79C23semidirect
372. C4⋊C4×D79C23semidirect
393. #14579095C23semidirect
394. #14579095C23semidirect
395. #14579094C23semidirect
396. #14579094C23semidirect
397. #14579094C23semidirect
398. #14579093C23semidirect
399. #14579092C23semidirect
400. #14579092C23semidirect
401. #14579092C23semidirect
402. C4⋊(C79⋊C8)C23semidirect
403. Dic79⋊C8C23semidirect
404. Dic79⋊C8C23semidirect
405. #14579086C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579085C23semidirect
409. #14579085C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579084C23semidirect
413. #14579084C23semidirect
414. #14579084C23semidirect
421. #14579083C23semidirect
434. #14579081C23semidirect
436. C22⋊(C79⋊C8)C23semidirect
439. (C2×D79)⋊C8C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. #14579071C23semidirect
442. #14579071C23semidirect
443. C4×C79⋊C8C23semidirect
446. C2×Q16×C79C23semidirect
450. C22×C8×C79C23semidirect
453. #125×C79C23semidirect
459. C22⋊Q8×C79C23semidirect
463. C4×Q8×C79C23semidirect
467. #117×C79C23semidirect
470. #107×C79C23semidirect
471. #106×C79C23semidirect
472. #106×C79C23semidirect
473. C4⋊C8×C79C23semidirect
474. #103×C79C23semidirect
475. #103×C79C23semidirect
476. #103×C79C23semidirect
477. #103×C79C23semidirect
485. C22⋊C8×C79C23semidirect
486. C4×C8×C79C23semidirect
551. D4×D79#41semidirect
957. #3296D79semidirect
971. C79#61156semidirect
986. #552C2×D79semidirect
1029. #488C2×D79semidirect
1037. #483C2×D79semidirect
1041. #482C2×D79semidirect
1049. #478C2×D79semidirect
1063. #467C2×D79semidirect
1069. #465C2×D79semidirect
1073. #464C2×D79semidirect
1081. #452C2×D79semidirect
1085. #450C2×D79semidirect
1099. C4×SD16C2×D79semidirect
1109. C8×D4C2×D79semidirect
1135. #416C2×D79semidirect
1139. C2×#102C2×D79semidirect
1177. C2×Q16C22×D79semidirect
1201. C22×C8C22×D79semidirect
1214. #125C22×D79semidirect
1254. C22⋊Q8C22×D79semidirect
1290. C4×Q8C22×D79semidirect
1330. #117C22×D79semidirect
1364. #107C22×D79semidirect
1369. #106C22×D79semidirect
1370. #106C22×D79semidirect
1374. C4⋊C8C22×D79semidirect
1385. #103C22×D79semidirect
1386. #103C22×D79semidirect
1387. #103C22×D79semidirect
1388. #103C22×D79semidirect
1422. C22⋊C8C22×D79semidirect
1426. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237769532
#546×D792
#237756232
#237756212
#237756002
#237755982
#237755542
#237755522
#237754872
#237754852
#237754422
#237754402
#237753592
#237753572
#237752522
#237752502
#237752292
#237737832
#237733432
#237733392
#237731952
#237730272
#237730122
#237728912
#237726432
#237726282
C4×#145791882
D4×#119296072
#237719152
C2×#190985662
C79×#32962
#6115679