Finite Group Databasebeta

← #35173260

Subgroups — #35173260

Order 20224.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777442C211yesmaximal, characteristic, complemented
2D4×#11929623C211yesmaximal, characteristic, complemented
3#23775533C211yesmaximal, characteristic, complemented
4#23775501C211yesmaximal, characteristic, complemented
5#23775461C211yesmaximal, characteristic, complemented
6#23775453C211yesmaximal, characteristic, complemented
7#23775429C211yesmaximal, characteristic, complemented
8#23775421C211yesmaximal, characteristic, complemented
9#23775397C211yesmaximal, characteristic, complemented
10#23775365C211yesmaximal, characteristic, complemented
11#23774984C211yesmaximal, characteristic, complemented
12#23774966C211yesmaximal, characteristic, complemented
13#23774963C211yesmaximal, characteristic, complemented
14#23774961C211yesmaximal, characteristic, complemented
15#23774953C211yesmaximal, characteristic, complemented
16#23774919C211yesmaximal, characteristic, complemented
17#23774910C211yesmaximal, characteristic, complemented
18#23774432C211yesmaximal, characteristic, complemented
19#23774409C211yesmaximal, characteristic, complemented
20#23774239C211yesmaximal, characteristic, complemented
21#23774225C211yesmaximal, characteristic, complemented
22#23774187C211yesmaximal, characteristic, complemented
23#23774178C211yesmaximal, characteristic, complemented
24#23773558C211yesmaximal, characteristic, complemented
25#23773506C211yesmaximal, characteristic, complemented
26#23772655C211yesmaximal, characteristic, complemented
27#23772639C211yesmaximal, characteristic, complemented
28#23772613C211yesmaximal, characteristic, complemented
29C2×#19098722C211yesmaximal, characteristic, complemented
30#23772425C211yesmaximal, characteristic, complemented
31C79×#3265C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C22×#11929623C2211yescharacteristic
34C2×#14579191C2211yescharacteristic, complemented
35C2×#14579190C2211yescharacteristic, complemented
36C2×#14579190C2211yescharacteristic, complemented
37C2×#14579180C2211yescharacteristic, complemented
38C2×#14579180C2211yescharacteristic, complemented
39C22×#11929614C2211yescharacteristic, complemented
40#19099284C2211yescharacteristic, complemented
41#19099267—21no—
42#19099254C2211yescharacteristic, complemented
43#19099253C2211yescharacteristic
44#19099243—21no—
45#19099242—21no—
46#19099233C2211yescharacteristic
47D4×Dic158C2211yescharacteristic
48Q8×C22⋊D79C2211yescharacteristic, complemented
49#19099221C2211yescharacteristic, complemented
50#19099219C2211yescharacteristic
51#19099219C2211yescharacteristic
52#19099217C2211yescharacteristic
53#19099213—21no—
54#19099213C2211yescharacteristic, complemented
55#19099212C2211yescharacteristic, complemented
56#19099207C2211yescharacteristic
57#19099207C2211yescharacteristic
58#19099202—21no—
59#19099200—21no—
60#19099200—21no—
61D4×C22⋊D79—21no—
62#19099177—21no—
63#19099159—21no—
64#19099158—21no—
65#19099117C2211yescharacteristic, complemented
66#19099111C2211yescharacteristic
67#19099108—21no—
68#19099092C2211yescharacteristic, complemented
69#19099073C2211yescharacteristic
70#19099073C2211yescharacteristic
71#19099073C2211yescharacteristic, complemented
72#19099070C2211yescharacteristic, complemented
73#19099069—21no—
74#19099069—21no—
75C2×#14579137C2211yescharacteristic, complemented
76C22⋊Q8×D79C2211yescharacteristic, complemented
77#19099042—21no—
78C4×#11929623C2211yescharacteristic
79C2×D4×Dic79—21no—
80C4×D4×D79C2211yescharacteristic
81#19098958C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098954C2211yescharacteristic, complemented
84#19098932C2211yescharacteristic, complemented
85#19098927C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098906C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098902C2211yescharacteristic, complemented
92#19098902C2211yescharacteristic, complemented
93#19098900C2211yescharacteristic, complemented
94#19098894C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic, complemented
100#19098871C2211yescharacteristic, complemented
101#19098863C2211yescharacteristic, complemented
102#19098857C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098821C2211yescharacteristic, complemented
105#19098820C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098813C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098806C2211yescharacteristic, complemented
111#19098804C2211yescharacteristic, complemented
112#19098803C2211yescharacteristic, complemented
113#19098803C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098782C2211yescharacteristic, complemented
121#19098776C2211yescharacteristic, complemented
122#19098776C2211yescharacteristic, complemented
123#19098774C2211yescharacteristic, complemented
124#19098773C2211yescharacteristic, complemented
125#19098772C2211yescharacteristic, complemented
126#19098766C2211yescharacteristic, complemented
127#19098760C2211yescharacteristic, complemented
128#19098726C2211yescharacteristic
129#19098726C2211yescharacteristic, complemented
130#19098726C2211yescharacteristic, complemented
131#19098726C2211yescharacteristic, complemented
132#19098725C2211yescharacteristic, complemented
133#19098722C2211yescharacteristic
134#19098722C2211yescharacteristic
135#19098722C2211yescharacteristic, complemented
136#19098722C2211yescharacteristic, complemented
137#19098722C2211yescharacteristic, complemented
138#19098722C2211yescharacteristic, complemented
139#19098722C2211yescharacteristic, complemented
140#19098722C2211yescharacteristic, complemented
141#19098722C2211yescharacteristic, complemented
142#19098722C2211yescharacteristic, complemented
143#19098722C2211yescharacteristic, complemented
144#19098722C2211yescharacteristic, complemented
145#19098721C2211yescharacteristic, complemented
146#19098721C2211yescharacteristic, complemented
147#19098720C2211yescharacteristic, complemented
148#19098719C2211yescharacteristic, complemented
149#19098718C2211yescharacteristic, complemented
150#19098714C2211yescharacteristic, complemented
151#19098714C2211yescharacteristic, complemented
152#19098705C2211yescharacteristic
153#19098705C2211yescharacteristic, complemented
154#19098705C2211yescharacteristic, complemented
155#19098705C2211yescharacteristic, complemented
156#19098705C2211yescharacteristic, complemented
157#19098705C2211yescharacteristic, complemented
158#19098701C2211yescharacteristic, complemented
159#19098700C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098671C2211yescharacteristic, complemented
162#19098668C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098663C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167#19098637C2211yescharacteristic, complemented
168#19098636C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic
170#19098634C2211yescharacteristic, complemented
171#19098633C2211yescharacteristic, complemented
172#19098632C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098619C2211yescharacteristic, complemented
175#19098618C2211yescharacteristic, complemented
176#19098573C2211yescharacteristic, complemented
177#19098568C2211yescharacteristic, complemented
178#19098561C2211yescharacteristic, complemented
179#19098561C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181#19098556C2211yescharacteristic, complemented
182C2×#14579086C2211yescharacteristic, complemented
183C2×#14579082C2211yescharacteristic, complemented
184#19098526C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic
191D42×C79C2211yescharacteristic
192#496×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#449×C79C2211yescharacteristic, complemented
199#448×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623—42no—
209C2×#11929623—42no—
210C2×#11929623—42no—
211C2×#11929623—42no—
212C2×#11929623C2311yescharacteristic
213C2×#11929623C2311yescharacteristic
214C2×#11929623C2311yescharacteristic
215C2×#11929623C2311yescharacteristic
216C2×#11929623C2311yescharacteristic
217C2×#11929623C2311yescharacteristic
218C2×#11929623C2311yescharacteristic
219C2×#11929623C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C22×Dic158C2311yescharacteristic
222C2×Q8×D79C2311yescharacteristic
223C22×C22⋊D79—21no—
224C22×C22⋊D79—21no—
225C2×D4×D79D411yescharacteristic
226C23×Dic79—21no—
227C23×Dic79—21no—
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230#14579191—42no—
231#14579190—42no—
232#14579190—42no—
233#14579180—42no—
234#14579180—42no—
235C2×Dic316C2311yescharacteristic
236C2×Dic316C2311yescharacteristic
237C2×Dic316C2311yescharacteristic
238C2×#11929614—42no—
239C2×#11929614C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929614C2311yescharacteristic
244C2×#11929614C2311yescharacteristic
245C2×#11929612C2311yescharacteristic
246C2×#11929612C2311yescharacteristic
247C2×#11929612C2311yescharacteristic
248C2×#11929612C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929612C2311yescharacteristic
251C2×#11929608C2311yescharacteristic
252C2×#11929607C2311yescharacteristic
253C2×#11929607C2311yescharacteristic
254C22×C79⋊C8C2311yescharacteristic
255C2×C8×D79C2311yescharacteristic
256C2×C8×D79C2311yescharacteristic
257#14579161C2311yescharacteristic
258#14579160—21no—
259#14579160C2311yescharacteristic
260#14579159—21no—
261#14579159C2311yescharacteristic
262#14579157—21no—
263#14579156—21no—
264#14579155—21no—
265#14579154—21no—
266#14579154—21no—
267#14579154—21no—
268#14579153C2311yescharacteristic
269#14579151—21no—
270#14579151—21no—
271#14579151—21no—
272#14579148C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579147—21no—
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579146—21no—
279#14579145—21no—
280#14579145—21no—
281#14579144—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579141C2311yescharacteristic
294#14579141C2311yescharacteristic
295#14579141C2311yescharacteristic
296#14579140—21no—
297#14579140C2311yescharacteristic
298#14579140C2311yescharacteristic
299#14579140C2311yescharacteristic
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579139—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138—21no—
310#14579137—21no—
311#14579137—21no—
312#14579137—21no—
313#14579137C2311yescharacteristic
314#14579137C2311yescharacteristic
315#14579137C2311yescharacteristic
316#14579137C2311yescharacteristic
317#14579137C2311yescharacteristic
318#14579135—21no—
319#14579134—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579133—21no—
327#14579132—21no—
328#14579132—21no—
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579130—21no—
334#14579130—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339Q8×Dic79C2311yescharacteristic
340C4×Dic158—21no—
341C4×Dic158C2311yescharacteristic
342C4×Dic158C2311yescharacteristic
343#14579126—21no—
344#14579126C2311yescharacteristic
345C4×D316C2311yescharacteristic
346D4×Dic79—21no—
347D4×Dic79—21no—
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79—21no—
352D4×Dic79—21no—
353D4×Dic79—21no—
354D4×Dic79—21no—
355D4×Dic79D411yescharacteristic
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358#14579123D411yescharacteristic
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79C2311yescharacteristic
364C4×C22⋊D79C2311yescharacteristic
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369(C22⋊D79)⋊C4—21no—
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4D411yescharacteristic
372(C22⋊D79)⋊C4D411yescharacteristic
373#14579120C2311yescharacteristic
374#14579119C2311yescharacteristic
375#14579119C2311yescharacteristic
376#14579118—21no—
377#14579118—21no—
378#14579117—21no—
379#14579117—21no—
380#14579117—21no—
381C2×C4⋊Dic79—21no—
382C2×C4⋊Dic79C2311yescharacteristic
383C2×Dic79⋊C4—21no—
384C2×Dic79⋊C4—21no—
385C4⋊C4×D79—21no—
386C4⋊C4×D79D411yescharacteristic
387C4⋊C4×D79C2311yescharacteristic
388C2×C22⋊Dic79—21no—
389C2×C22⋊Dic79—21no—
390C2×(C2×D79)⋊C4—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79D411yescharacteristic
393C22⋊C4×D79D411yescharacteristic
394C2×C4×Dic79—21no—
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403C4⋊(C79⋊C8)C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579086C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579082C2311yescharacteristic
431#14579082C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
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
441(C2×D79)⋊C8C2311yescharacteristic
442#14579072C2311yescharacteristic
443#14579071C2311yescharacteristic
444#14579071C2311yescharacteristic
445C2×#41×C79C2311yescharacteristic
446C22×Q8×C79C2311yescharacteristic
447C22×D4×C79—21no—
448C22×D4×C79C2311yescharacteristic
449C22×D4×C79C2311yescharacteristic
450AGL(1,ℤ/8)×C79—42no—
451C2×SD16×C79—42no—
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic
457C2×SD16×C79C2311yescharacteristic
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C2×D8×C79C2311yescharacteristic
461C2×M16×C79C2311yescharacteristic
462C22×C8×C79C2311yescharacteristic
463#127×C79C2311yescharacteristic
464#124×C79—21no—
465#124×C79C2311yescharacteristic
466C22⋊Q8×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468#121×C79—21no—
469#121×C79—21no—
470#121×C79C2311yescharacteristic
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#120×C79—21no—
474#120×C79—21no—
475C4×Q8×C79C2311yescharacteristic
476C4×D4×C79—21no—
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479#107×C79C2311yescharacteristic
480C4⋊C8×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#103×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489#97×C79C2311yescharacteristic
490C23×D79C2×D411yescharacteristic
491C23×D79C2×D411yescharacteristic
492#11929623—22no—
493#11929623—22no—
494#11929623—22no—
495#11929623—22no—
496#11929623—22no—
497#11929623—22no—
498#11929623—44no—
499#11929623—44no—
500#11929623—44no—
501#11929623—41no—
502#11929623—41no—
503#11929623—41no—
504#11929623—41no—
505#11929623—41no—
506#11929623—41no—
507#11929623—41no—
508#11929623—41no—
509#11929623—44no—
510#11929623—44no—
511#11929623—41no—
512#11929623—41no—
513C2×Dic158—22no—
514C2×Dic158—22no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—21no—
518C2×Dic158—21no—
519C2×Dic158—41no—
520C2×Dic158—41no—
521C2×Dic158C2411yescharacteristic
522C2×Dic158C2411yescharacteristic
523C2×Dic158C2411yescharacteristic
524C2×Dic158C2411yescharacteristic
525Q8×D79—41no—
526Q8×D79—41no—
527C2×D316C2×D411yescharacteristic
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—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—44no—
541C2×C22⋊D79—44no—
542C2×C22⋊D79C2×D411yescharacteristic
543C2×C22⋊D79C2×D411yescharacteristic
544D4×D79—42no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79—21no—
549C22×Dic79—21no—
550C22×Dic79—21no—
551C22×Dic79—21no—
552C22×Dic79—21no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C22×Dic79—21no—
556C22×Dic79—21no—
557C22×Dic79—21no—
558C22×Dic79—44no—
559C22×Dic79—44no—
560C22×Dic79C2×D411yescharacteristic
561C22×Dic79C2×D411yescharacteristic
562C2×C4×D79—21no—
563C2×C4×D79—21no—
564C2×C4×D79—41no—
565C2×C4×D79—41no—
566C2×C4×D79—41no—
567C2×C4×D79—41no—
568C2×C4×D79C2×D411yescharacteristic
569C2×C4×D79C2×D411yescharacteristic
570C2×C4×D79C2×D411yescharacteristic
571C2×C4×D79C2×D411yescharacteristic
572C2×C4×D79C2×D411yescharacteristic
573C2×C4×D79C2×D411yescharacteristic
574C2×C4×D79C2411yescharacteristic
575C2×C4×D79C2411yescharacteristic
576C2×C4×D79C2411yescharacteristic
577Dic316—22no—
578Dic316—41no—
579Dic316—41no—
580#11929614—22no—
581#11929614—22no—
582#11929614—41no—
583#11929614—41no—
584#11929614—41no—
585#11929614—41no—
586#11929612—22no—
587#11929612—22no—
588#11929612—41no—
589#11929612—41no—
590#11929612—41no—
591#11929612—41no—
592#11929608—41no—
593#11929607—41no—
594#11929607—41no—
595C2×C79⋊C8—41no—
596C2×C79⋊C8C2411yescharacteristic
597C2×C79⋊C8C2411yescharacteristic
598C2×C79⋊C8C2411yescharacteristic
599C2×C79⋊C8C2411yescharacteristic
600C8×D79—41no—
601C8×D79—41no—
602C4⋊Dic79—21no—
603C4⋊Dic79—21no—
604C4⋊Dic79—21no—
605C4⋊Dic79—21no—
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⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4C2×D411yescharacteristic
633Dic79⋊C4C2×D411yescharacteristic
634C22⋊Dic79—21no—
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79C2×D411yescharacteristic
650C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
662(C2×D79)⋊C4C2×D411yescharacteristic
663(C2×D79)⋊C4C2×D411yescharacteristic
664(C2×D79)⋊C4C2×D411yescharacteristic
665C4×Dic79—21no—
666C4×Dic79—21no—
667C4×Dic79—21no—
668C4×Dic79—21no—
669C4×Dic79—21no—
670C4×Dic79—21no—
671C4×Dic79—21no—
672C4×Dic79C2×D411yescharacteristic
673C4×Dic79C2×D411yescharacteristic
674C4×Dic79C2411yescharacteristic
675C24×C79—21no—
676C24×C79—21no—
677#41×C79—41no—
678#41×C79—41no—
679C2×Q8×C79—21no—
680C2×Q8×C79—41no—
681C2×Q8×C79—41no—
682C2×Q8×C79C2411yescharacteristic
683C2×Q8×C79C2411yescharacteristic
684C2×D4×C79—22no—
685C2×D4×C79—22no—
686C2×D4×C79—21no—
687C2×D4×C79—21no—
688C2×D4×C79—21no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—41no—
695C2×D4×C79—41no—
696C2×D4×C79—44no—
697C2×D4×C79C2×D411yescharacteristic
698C2×D4×C79C2411yescharacteristic
699C2×D4×C79C2411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—21no—
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707SD16×C79—22no—
708SD16×C79—22no—
709SD16×C79—41no—
710SD16×C79—41no—
711SD16×C79—41no—
712SD16×C79—41no—
713D8×C79—22no—
714D8×C79—41no—
715D8×C79—41no—
716M16×C79—41no—
717C2×C8×C79—41no—
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79C2×D411yescharacteristic
725C4⋊C4×C79C2411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C22⋊C4×C79—21no—
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79C2×D411yescharacteristic
735C22⋊C4×C79C2×D411yescharacteristic
736C42×C79—21no—
737C42×C79C2411yescharacteristic
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—21no—
741C23×C79—21no—
742C23×C79—42no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—81no—
747C23×C79—81no—
748C23×C79C22×D411yescharacteristic
749C23×C79C22×D411yescharacteristic
750C22×D79—22no—
751C22×D79—41no—
752C22×D79—41no—
753C22×D79—41no—
754C22×D79—41no—
755C22×D79—41no—
756C22×D79C22×D411yescharacteristic
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—21no—
763Q8×C79—81no—
764D4×C79—22no—
765D4×C79—21no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—21no—
769D4×C79—21no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—42no—
773D4×C79—42no—
774D4×C79—42no—
775D4×C79—42no—
776D4×C79—42no—
777D4×C79—42no—
778D4×C79—81no—
779D4×C79—81no—
780D4×C79H(5,𝔽2)12yes—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—42no—
790C2×C4×C79—81no—
791C2×C4×C79—81no—
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C22×D411yescharacteristic
794C2×C4×C79C22×D411yescharacteristic
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C2511yescharacteristic
797C22⋊D79—24no—
798C22⋊D79—22no—
799C22⋊D79—41no—
800C22⋊D79—42no—
801C22⋊D79—42no—
802C22⋊D79—42no—
803C22⋊D79—42no—
804C22⋊D79—42no—
805C22⋊D79—42no—
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—81no—
809C22⋊D79—81no—
810C22⋊D79—81no—
811C2×Dic79—24no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—41no—
821C2×Dic79—41no—
822C2×Dic79—42no—
823C2×Dic79—42no—
824C2×Dic79—42no—
825C2×Dic79—42no—
826C2×Dic79—42no—
827C2×Dic79—42no—
828C2×Dic79—42no—
829C2×Dic79—42no—
830C2×Dic79—42no—
831C2×Dic79—42no—
832C2×Dic79—81no—
833C2×Dic79—81no—
834C2×Dic79C22×D411yescharacteristic
835C2×Dic79C22×D411yescharacteristic
836C2×Dic79C22×D411yescharacteristic
837C2×Dic79C22×D411yescharacteristic
838C2×Dic79C22×D411yescharacteristic
839D316—41no—
840C4×D79—21no—
841C4×D79—21no—
842C4×D79—21no—
843C4×D79—21no—
844C4×D79—21no—
845C4×D79—21no—
846C4×D79—41no—
847C4×D79—41no—
848C4×D79—41no—
849C4×D79—41no—
850C4×D79—41no—
851C4×D79—41no—
852C4×D79—42no—
853C4×D79—81no—
854Dic158—21no—
855Dic158—21no—
856Dic158—21no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—21no—
861Dic158—42no—
862Dic158—42no—
863Dic158—42no—
864Dic158—81no—
865Dic158H(5,𝔽2)12yes—
866C8×C79—21no—
867C8×C79—21no—
868C8×C79—21no—
869C8×C79—21no—
870C79⋊C8—21no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—22no—
878C22×C79—21no—
879C22×C79—21no—
880C22×C79—41no—
881C22×C79—41no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—41no—
886C22×C79—41no—
887C22×C79—41no—
888C22×C79—41no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—84no—
892C22×C79—84no—
893C22×C79#57512yes—
894C22×C79C23×D411yescharacteristic
895C2×D79—21no—
896C2×D79—21no—
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—21no—
901C2×D79—21no—
902C2×D79—21no—
903C2×D79—21no—
904C2×D79—82no—
905C2×D79—82no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—21no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79C2×H(5,𝔽2)11yescharacteristic
915C4×C79C2×H(5,𝔽2)11yescharacteristic
916Dic79—21no—
917Dic79—22no—
918Dic79—21no—
919Dic79—21no—
920Dic79—21no—
921Dic79—21no—
922Dic79—41no—
923Dic79—41no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79—41no—
929#61580—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—42no—
933C2×C79—81no—
934C2×C79—81no—
935C2×C79—81no—
936C2×C79#348411yescharacteristic
937C2×C79C2×#57511yescharacteristic
938C2×C79#358611yescharacteristic
939D79—41no—
940D79—41no—
941D79—41no—
942#3520—791no—
943D4×#41—791no—
944#3317—791no—
945#3315—791no—
946#3313—791no—
947#3312—791no—
948#3311—791no—
949#3310—791no—
950#3308—791no—
951#3306—791no—
952#3271—791no—
953#3270—791no—
954#3270—791no—
955#3269—791no—
956#3269—791no—
957#3267—791no—
958#3266—791no—
959#3265D7911yescharacteristic, complemented
960#3219—791no—
961#3216—791no—
962#3197—791no—
963#3196—791no—
964#3191—791no—
965#3190—791no—
966#3116—791no—
967#3111—791no—
968#3007—791no—
969#3005—791no—
970#3002—791no—
971C2×#452—791no—
972#2973—791no—
973C79#6158011yescharacteristic, complemented, Sylow
974C22×#41—791no—
975C22×#41—791no—
976C2×#137—791no—
977C2×#137—791no—
978C2×#137—791no—
979C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
980C2×#135—791no—
981C2×#135—791no—
982C22×Q16—791no—
983C22×SD16C2×D7911yescharacteristic, complemented
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550—791no—
991D4×Q8—791no—
992D4×Q8—791no—
993#548—791no—
994#548—791no—
995#548—791no—
996#548C2×D7911yescharacteristic
997#547—791no—
998#547—791no—
999#547—791no—
1000#547—1581no—
1001#546—791no—
1002#546—791no—
1003#546—1581no—
1004#546—1581no—
1005#546—1581no—
1006D42—1581no—
1007D42C2×D7911yescharacteristic
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—791no—
1013#532—1581no—
1014#529—791no—
1015#525—791no—
1016#525—791no—
1017#525—791no—
1018#525—791no—
1019#525—1581no—
1020#525—1581no—
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8—791no—
1023#520—1581no—
1024C4×#41—791no—
1025C2×C4×D4—791no—
1026C2×C4×D4—1581no—
1027#497—791no—
1028#497—791no—
1029#497—791no—
1030#496C2×D7911yescharacteristic, complemented
1031#491—791no—
1032#490—791no—
1033#489—791no—
1034#489—791no—
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485—791no—
1039#485—791no—
1040#484—791no—
1041#483—791no—
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#481—791no—
1046#480—791no—
1047#479—791no—
1048#478—791no—
1049#477—791no—
1050#476—791no—
1051#470—791no—
1052#470—791no—
1053#470—791no—
1054#469—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#468C2×D7911yescharacteristic, complemented
1059#467—791no—
1060#467—791no—
1061#467—791no—
1062#466C2×D7911yescharacteristic, complemented
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#465—791no—
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#463—791no—
1071#463—791no—
1072#463C2×D7911yescharacteristic, complemented
1073#462—791no—
1074#462—791no—
1075#462—791no—
1076#461—791no—
1077#460—791no—
1078#460C2×D7911yescharacteristic, complemented
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#451—791no—
1097#451—791no—
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#450—791no—
1102#450—791no—
1103#450C2×D7911yescharacteristic, complemented
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449C2×D7911yescharacteristic, complemented
1111#448—791no—
1112#448—791no—
1113#448C2×D7911yescharacteristic, complemented
1114#447C2×D7911yescharacteristic, complemented
1115#442—791no—
1116#441—791no—
1117#441—791no—
1118#441—791no—
1119#440—791no—
1120#440—791no—
1121#440—791no—
1122#440C2×D7911yescharacteristic, complemented
1123#435—791no—
1124#435—791no—
1125#435—791no—
1126#435—791no—
1127#435—791no—
1128#435—791no—
1129#435—791no—
1130#435C2×D7911yescharacteristic
1131#432—791no—
1132#432—791no—
1133#419—791no—
1134#418—791no—
1135#417—791no—
1136#417—791no—
1137#416—791no—
1138#416—791no—
1139C2×#103—791no—
1140C2×#102—791no—
1141#407—791no—
1142#407—791no—
1143C2×C22⋊C8—791no—
1144C2×C22⋊C8—791no—
1145C2×#41—3162no—
1146C2×#41—3162no—
1147C2×#41—3162no—
1148C2×#41—3162no—
1149C2×#41—791no—
1150C2×#41—791no—
1151C2×#41—791no—
1152C2×#41—791no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—791no—
1156C2×#41—791no—
1157C2×#41—1581no—
1158C2×#41—1581no—
1159C2×#41—1581no—
1160C2×#41—1581no—
1161C2×#41—1581no—
1162C2×#41C22×D7911yescharacteristic
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8—791no—
1166C22×Q8C22×D7911yescharacteristic
1167C22×D4—21no—
1168C22×D4—791no—
1169C22×D4—1581no—
1170C22×D4—1581no—
1171C22×D4C22×D7911yescharacteristic
1172C22×D4C22×D7911yescharacteristic
1173C23×C4—791no—
1174C23×C4—791no—
1175C23×C4—1581no—
1176C23×C4—1581no—
1177#137—3162no—
1178#137—3162no—
1179#137—3162no—
1180AGL(1,ℤ/8)—42no—
1181#135—3162no—
1182#135—3162no—
1183C2×Q16—3162no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16—791no—
1190C2×Q16—791no—
1191C2×Q16—791no—
1192C2×Q16—791no—
1193C2×SD16—42no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16C22×D7911yescharacteristic
1201C2×SD16C22×D7911yescharacteristic
1202C2×SD16C22×D7911yescharacteristic
1203C2×SD16C22×D7911yescharacteristic
1204C2×SD16C22×D7911yescharacteristic
1205C2×SD16C22×D7911yescharacteristic
1206C2×D8C22×D7911yescharacteristic
1207C2×D8C22×D7911yescharacteristic
1208C2×D8C22×D7911yescharacteristic
1209C2×M16—791no—
1210C2×M16—791no—
1211C2×M16—791no—
1212C2×M16C22×D7911yescharacteristic
1213C22×C8—791no—
1214C22×C8—791no—
1215C22×C8—791no—
1216C22×C8C22×D7911yescharacteristic
1217C4⋊Q8—791no—
1218C4⋊Q8—791no—
1219C4⋊Q8—791no—
1220C4⋊Q8—1581no—
1221C4⋊Q8—1581no—
1222#127—1581no—
1223#127C22×D7911yescharacteristic
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—21no—
1234#124—791no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124—1581no—
1240#124C22×D7911yescharacteristic
1241#123—1581no—
1242#123—1581no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—21no—
1257C22⋊Q8—791no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8C22×D7911yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—791no—
1289#121—1581no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121C22×D7911yescharacteristic
1301#121C22×D7911yescharacteristic
1302#121C22×D7911yescharacteristic
1303#120—21no—
1304#120—21no—
1305#120—1581no—
1306#120—1581no—
1307#120—1581no—
1308#120—1581no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—791no—
1315C4×Q8—1581no—
1316C4×Q8—1581no—
1317C4×Q8C22×D7911yescharacteristic
1318C4×D4—21no—
1319C4×D4—791no—
1320C4×D4—791no—
1321C4×D4—791no—
1322C4×D4—791no—
1323C4×D4—791no—
1324C4×D4—791no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4—1581no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4C22×D7911yescharacteristic
1348C4×D4C22×D7911yescharacteristic
1349#117—791no—
1350#117—791no—
1351#117—791no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117—1581no—
1357C2×C4⋊C4—791no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4—1581no—
1364C2×C22⋊C4—791no—
1365C2×C22⋊C4—791no—
1366C2×C22⋊C4—1581no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4—1581no—
1369C2×C22⋊C4—1581no—
1370C2×C42—791no—
1371C2×C42—1581no—
1372#107—791no—
1373#107—791no—
1374#107—791no—
1375#107C22×D7911yescharacteristic
1376#106—791no—
1377#106—791no—
1378#106—791no—
1379#106—791no—
1380C4⋊C8—791no—
1381C4⋊C8—791no—
1382C4⋊C8—791no—
1383C4⋊C8C22×D7911yescharacteristic
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103C22×D7911yescharacteristic
1401#103C22×D7911yescharacteristic
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102C22×D7911yescharacteristic
1413#102C22×D7911yescharacteristic
1414#102C22×D7911yescharacteristic
1415#102C22×D7911yescharacteristic
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8—791no—
1425C22⋊C8—791no—
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428#97—791no—
1429#97—791no—
1430#97—791no—
1431#97C22×D7911yescharacteristic
1432C24—21no—
1433C24—21no—
1434C24—791no—
1435C24—791no—
1436#41—41no—
1437#41—41no—
1438#41—3164no—
1439#41—3164no—
1440#41—3164no—
1441#41—3161no—
1442#41—3161no—
1443#41—3161no—
1444#41—3161no—
1445#41—3161no—
1446#41—3161no—
1447#41—3161no—
1448#41—3161no—
1449#41—3164no—
1450#41—3164no—
1451#41—3161no—
1452#41—3161no—
1453#41—1582no—
1454#41—1582no—
1455#41—1582no—
1456#41—1582no—
1457#41—1582no—
1458#41—1582no—
1459C2×Q8—21no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—3161no—
1463C2×Q8—3161no—
1464C2×Q8—3161no—
1465C2×Q8—3161no—
1466C2×Q8—791no—
1467C2×Q8—791no—
1468C2×Q8—791no—
1469C2×Q8—791no—
1470C2×Q8—1582no—
1471C2×Q8—1582no—
1472C2×Q8—1581no—
1473C2×Q8—1581no—
1474C2×Q8—1581no—
1475C2×Q8—1581no—
1476C2×Q8C23×D7911yescharacteristic
1477C2×Q8C23×D7911yescharacteristic
1478C2×D4—22no—
1479C2×D4—22no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—44no—
1491C2×D4—3162no—
1492C2×D4—3164no—
1493C2×D4—3164no—
1494C2×D4—791no—
1495C2×D4—791no—
1496C2×D4—791no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4—1581no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4D4×D7911yescharacteristic
1510C2×D4C23×D7911yescharacteristic
1511C2×D4C23×D7911yescharacteristic
1512C2×D4C23×D7911yescharacteristic
1513C2×D4C23×D7911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—3161no—
1518C22×C4—3161no—
1519C22×C4—3161no—
1520C22×C4—3161no—
1521C22×C4—3164no—
1522C22×C4—3164no—
1523C22×C4—791no—
1524C22×C4—791no—
1525C22×C4—791no—
1526C22×C4—791no—
1527C22×C4—791no—
1528C22×C4—791no—
1529C22×C4—791no—
1530C22×C4—791no—
1531C22×C4—791no—
1532C22×C4—791no—
1533C22×C4—791no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4—1581no—
1540C22×C4—1581no—
1541C22×C4—1581no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4—1581no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—3161no—
1552Q16—3161no—
1553Q16—3161no—
1554Q16—3161no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—1582no—
1558Q16—1582no—
1559Q16—1582no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—3161no—
1569SD16—3161no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—22no—
1573D8—41no—
1574D8—41no—
1575M16—41no—
1576M16—3161no—
1577M16—3161no—
1578M16—3161no—
1579C2×C8—41no—
1580C2×C8—3161no—
1581C2×C8—3161no—
1582C2×C8—3161no—
1583C2×C8—791no—
1584C2×C8—791no—
1585C2×C8—791no—
1586C2×C8—791no—
1587C2×C8C23×D7911yescharacteristic
1588C2×C8C23×D7911yescharacteristic
1589C2×C8C23×D7911yescharacteristic
1590C2×C8C23×D7911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—791no—
1594C4⋊C4—791no—
1595C4⋊C4—791no—
1596C4⋊C4—791no—
1597C4⋊C4—791no—
1598C4⋊C4—791no—
1599C4⋊C4—791no—
1600C4⋊C4—1581no—
1601C4⋊C4—1581no—
1602C4⋊C4—1581no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4D4×D7911yescharacteristic
1626C4⋊C4C23×D7911yescharacteristic
1627C4⋊C4C23×D7911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—791no—
1636C22⋊C4—791no—
1637C22⋊C4—791no—
1638C22⋊C4—791no—
1639C22⋊C4—791no—
1640C22⋊C4—791no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4D4×D7911yescharacteristic
1667C22⋊C4D4×D7911yescharacteristic
1668C42—21no—
1669C42—791no—
1670C42—791no—
1671C42—791no—
1672C42—1581no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42—1581no—
1677C42—1581no—
1678C42—1581no—
1679C42C23×D7911yescharacteristic
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—42no—
1685C23—42no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—81no—
1690C23—3161no—
1691C23—3161no—
1692C23—3161no—
1693C23—3161no—
1694C23—3161no—
1695C23—791no—
1696C23—791no—
1697C23—791no—
1698C23—1582no—
1699C23C2×D4×D7911yescharacteristic
1700C23C2×D4×D7911yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—81no—
1706Q8—3162no—
1707Q8—3162no—
1708Q8—3162no—
1709Q8—792no—
1710Q8—6321no—
1711Q8—1581no—
1712Q8—1581no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8—1581no—
1718D4—22no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—3161no—
1735D4—3162no—
1736D4—3162no—
1737D4—3162no—
1738D4—3162no—
1739D4—3162no—
1740D4—3162no—
1741D4—3161no—
1742D4—3162no—
1743D4—3162no—
1744D4—6321no—
1745D4—6321no—
1746D4—6321no—
1747D4—1584no—
1748D4—1582no—
1749D4#1457920612yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—3161no—
1762C2×C4—3161no—
1763C2×C4—3161no—
1764C2×C4—3161no—
1765C2×C4—3161no—
1766C2×C4—3161no—
1767C2×C4—3162no—
1768C2×C4—3162no—
1769C2×C4—3162no—
1770C2×C4—3162no—
1771C2×C4—3162no—
1772C2×C4—3162no—
1773C2×C4—3162no—
1774C2×C4—3162no—
1775C2×C4—3162no—
1776C2×C4—3161no—
1777C2×C4—3161no—
1778C2×C4—3162no—
1779C2×C4—3162no—
1780C2×C4—791no—
1781C2×C4—791no—
1782C2×C4—791no—
1783C2×C4—791no—
1784C2×C4—791no—
1785C2×C4—6321no—
1786C2×C4—6321no—
1787C2×C4—6321no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1584no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4—1581no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4C2×D4×D7911yescharacteristic
1804C2×C4C2×D4×D7911yescharacteristic
1805C2×C4C2×D4×D7911yescharacteristic
1806C2×C4C2×D4×D7911yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1581no—
1813C8—1581no—
1814C8—1581no—
1815C8—1581no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—22no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—84no—
1834C22—84no—
1835C22—6322no—
1836C22—6322no—
1837C22—1581no—
1838C22—1581no—
1839C22—1581no—
1840C22—1581no—
1841C22—1581no—
1842C22—1581no—
1843C22—1581no—
1844C22—1581no—
1845C22—1581no—
1846C22#1909935912yes—
1847C22C22×D4×D7911yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—3161no—
1857C4—3161no—
1858C4—3161no—
1859C4—3161no—
1860C4—3161no—
1861C4—3161no—
1862C4—3161no—
1863C4—1581no—
1864C4—1581no—
1865C4—1581no—
1866C4—1582no—
1867C4—1581no—
1868C4—1581no—
1869C4H(5,𝔽2)×D7911yescharacteristic
1870C4C2×#1457920611yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—42no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—3161no—
1878C2—3161no—
1879C2—3161no—
1880C2#2377702811yescharacteristic
1881C2C2×#1909935911yescharacteristic
1882C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3265C2
socleC22×C79C23×D4
hypercenter#3265D79
hypocenterC79#61580
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #23777442C2semidirect
2. D4×#11929623C2semidirect
3. #23775533C2semidirect
4. #23775501C2semidirect
5. #23775461C2semidirect
6. #23775453C2semidirect
7. #23775429C2semidirect
8. #23775421C2semidirect
9. #23775397C2semidirect
10. #23775365C2semidirect
11. #23774984C2semidirect
12. #23774966C2semidirect
13. #23774963C2semidirect
14. #23774961C2semidirect
15. #23774953C2semidirect
16. #23774919C2semidirect
17. #23774910C2semidirect
18. #23774432C2semidirect
19. #23774409C2semidirect
20. #23774239C2semidirect
21. #23774225C2semidirect
22. #23774187C2semidirect
23. #23774178C2semidirect
24. #23773558C2semidirect
25. #23773506C2semidirect
26. #23772655C2semidirect
27. #23772639C2semidirect
28. #23772613C2semidirect
29. C2×#19098722C2semidirect
30. #23772425C2semidirect
31. C79×#3265C2semidirect
34. C2×#14579191C22semidirect
35. C2×#14579190C22semidirect
36. C2×#14579190C22semidirect
37. C2×#14579180C22semidirect
38. C2×#14579180C22semidirect
39. C22×#11929614C22semidirect
40. #19099284C22semidirect
42. #19099254C22semidirect
48. Q8×C22⋊D79C22semidirect
49. #19099221C22semidirect
54. #19099213C22semidirect
55. #19099212C22semidirect
65. #19099117C22semidirect
68. #19099092C22semidirect
71. #19099073C22semidirect
72. #19099070C22semidirect
75. C2×#14579137C22semidirect
76. C22⋊Q8×D79C22semidirect
81. #19098958C22semidirect
82. #19098954C22semidirect
83. #19098954C22semidirect
84. #19098932C22semidirect
85. #19098927C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
88. #19098906C22semidirect
89. #19098906C22semidirect
90. #19098905C22semidirect
91. #19098902C22semidirect
92. #19098902C22semidirect
93. #19098900C22semidirect
94. #19098894C22semidirect
95. #19098885C22semidirect
96. #19098885C22semidirect
97. #19098884C22semidirect
98. #19098880C22semidirect
99. #19098874C22semidirect
100. #19098871C22semidirect
101. #19098863C22semidirect
102. #19098857C22semidirect
103. #19098851C22semidirect
104. #19098821C22semidirect
105. #19098820C22semidirect
106. #19098819C22semidirect
107. #19098813C22semidirect
108. #19098808C22semidirect
109. #19098807C22semidirect
110. #19098806C22semidirect
111. #19098804C22semidirect
112. #19098803C22semidirect
113. #19098803C22semidirect
114. #19098790C22semidirect
115. #19098790C22semidirect
116. #19098789C22semidirect
117. #19098789C22semidirect
118. #19098783C22semidirect
119. #19098783C22semidirect
120. #19098782C22semidirect
121. #19098776C22semidirect
122. #19098776C22semidirect
123. #19098774C22semidirect
124. #19098773C22semidirect
125. #19098772C22semidirect
126. #19098766C22semidirect
127. #19098760C22semidirect
129. #19098726C22semidirect
130. #19098726C22semidirect
131. #19098726C22semidirect
132. #19098725C22semidirect
135. #19098722C22semidirect
136. #19098722C22semidirect
137. #19098722C22semidirect
138. #19098722C22semidirect
139. #19098722C22semidirect
140. #19098722C22semidirect
141. #19098722C22semidirect
142. #19098722C22semidirect
143. #19098722C22semidirect
144. #19098722C22semidirect
145. #19098721C22semidirect
146. #19098721C22semidirect
147. #19098720C22semidirect
148. #19098719C22semidirect
149. #19098718C22semidirect
150. #19098714C22semidirect
151. #19098714C22semidirect
153. #19098705C22semidirect
154. #19098705C22semidirect
155. #19098705C22semidirect
156. #19098705C22semidirect
157. #19098705C22semidirect
158. #19098701C22semidirect
159. #19098700C22semidirect
160. #19098675C22semidirect
161. #19098671C22semidirect
162. #19098668C22semidirect
163. #19098667C22semidirect
164. #19098664C22semidirect
165. #19098663C22semidirect
166. #19098660C22semidirect
167. #19098637C22semidirect
168. #19098636C22semidirect
170. #19098634C22semidirect
171. #19098633C22semidirect
172. #19098632C22semidirect
173. #19098631C22semidirect
174. #19098619C22semidirect
175. #19098618C22semidirect
176. #19098573C22semidirect
177. #19098568C22semidirect
178. #19098561C22semidirect
179. #19098561C22semidirect
180. #19098556C22semidirect
181. #19098556C22semidirect
182. C2×#14579086C22semidirect
183. C2×#14579082C22semidirect
184. #19098526C22semidirect
185. #19098525C22semidirect
186. C2×(C2×D79)⋊C8C22semidirect
187. C22⋊C8×D79C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C22×SD16×C79C22semidirect
192. #496×C79C22semidirect
193. #468×C79C22semidirect
194. #466×C79C22semidirect
195. #463×C79C22semidirect
196. #460×C79C22semidirect
197. #450×C79C22semidirect
198. #449×C79C22semidirect
199. #448×C79C22semidirect
200. #447×C79C22semidirect
201. #440×C79C22semidirect
959. #3265D79semidirect
973. C79#61580semidirect
979. C2×AGL(1,ℤ/8)C2×D79semidirect
983. C22×SD16C2×D79semidirect
1030. #496C2×D79semidirect
1058. #468C2×D79semidirect
1062. #466C2×D79semidirect
1072. #463C2×D79semidirect
1078. #460C2×D79semidirect
1103. #450C2×D79semidirect
1110. #449C2×D79semidirect
1113. #448C2×D79semidirect
1114. #447C2×D79semidirect
1122. #440C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774422
D4×#119296232
#237755332
#237755012
#237754612
#237754532
#237754292
#237754212
#237753972
#237753652
#237749842
#237749662
#237749632
#237749612
#237749532
#237749192
#237749102
#237744322
#237744092
#237742392
#237742252
#237741872
#237741782
#237735582
#237735062
#237726552
#237726392
#237726132
C2×#190987222
#237724252
C79×#32652
#6158079