Finite Group Databasebeta

← #35181540

Subgroups — #35181540

Order 20224.

1966 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777730C211yesmaximal, characteristic, complemented
2#23776484C211yesmaximal, characteristic, complemented
3#23776438C211yesmaximal, characteristic, complemented
4#23776153C211yesmaximal, characteristic, complemented
5#23776107C211yesmaximal, characteristic, complemented
6#23775535C211yesmaximal, characteristic, complemented
7#23775415C211yesmaximal, characteristic, complemented
8#23775400C211yesmaximal, characteristic, complemented
9#23775355C211yesmaximal, characteristic, complemented
10#23775229C211yesmaximal, characteristic, complemented
11#23775207C211yesmaximal, characteristic, complemented
12#23775081C211yesmaximal, characteristic, complemented
13D4×#11929609C211yesmaximal, characteristic, complemented
14#23774936C211yesmaximal, characteristic, complemented
15#23774881C211yesmaximal, characteristic, complemented
16#23774881C211yesmaximal, characteristic, complemented
17#23774876C211yesmaximal, characteristic, complemented
18#23774835C211yesmaximal, characteristic, complemented
19#23774811C211yesmaximal, characteristic, complemented
20#23774747C211yesmaximal, characteristic, complemented
21#23774488C211yesmaximal, characteristic, complemented
22#23774444C211yesmaximal, characteristic, complemented
23#23774415C211yesmaximal, characteristic, complemented
24#23773643C211yesmaximal, characteristic, complemented
25#23773599C211yesmaximal, characteristic, complemented
26#23773538C211yesmaximal, characteristic, complemented
27#23772939C211yesmaximal, characteristic, complemented
28#23772903C211yesmaximal, characteristic, complemented
29C2×#19098758C211yesmaximal, characteristic, complemented
30#23772539C211yesmaximal, characteristic, complemented
31C79×#3513C211yesmaximal, characteristic, complemented
32C2×#14579187C2211yescharacteristic, complemented
33C2×#14579186C2211yescharacteristic, complemented
34C2×#14579181C2211yescharacteristic, complemented
35C22×#11929609C2211yescharacteristic, complemented
36C22×#11929609C2211yescharacteristic, complemented
37C22×#11929609C2211yescharacteristic, complemented
38#19099304—21no—
39#19099304—21no—
40#19099298C2211yescharacteristic, complemented
41#19099235C2211yescharacteristic, complemented
42#19099234C2211yescharacteristic, complemented
43#19099209C2211yescharacteristic
44#19099209C2211yescharacteristic, complemented
45#19099204—21no—
46D4×D316C2211yescharacteristic
47D4×D316C2211yescharacteristic, complemented
48D4×D316C2211yescharacteristic, complemented
49#19099197—21no—
50#19099169—21no—
51#19099168C2211yescharacteristic, complemented
52#19099168C2211yescharacteristic, complemented
53#19099132C2211yescharacteristic, complemented
54#19099132C2211yescharacteristic, complemented
55#19099131—21no—
56#19099124—21no—
57#19099124—21no—
58C2×#14579158C2211yescharacteristic, complemented
59#19099097C2211yescharacteristic, complemented
60#19098953C2211yescharacteristic, complemented
61#19098953C2211yescharacteristic, complemented
62#19098953C2211yescharacteristic, complemented
63#19098950C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098939C2211yescharacteristic, complemented
66#19098929C2211yescharacteristic, complemented
67#19098929C2211yescharacteristic, complemented
68#19098929C2211yescharacteristic, complemented
69#19098925C2211yescharacteristic, complemented
70#19098920C2211yescharacteristic, complemented
71#19098911C2211yescharacteristic, complemented
72#19098893C2211yescharacteristic, complemented
73#19098887C2211yescharacteristic, complemented
74#19098887C2211yescharacteristic, complemented
75#19098881C2211yescharacteristic, complemented
76#19098876C2211yescharacteristic, complemented
77#19098876C2211yescharacteristic, complemented
78#19098870C2211yescharacteristic, complemented
79#19098867C2211yescharacteristic, complemented
80#19098863C2211yescharacteristic, complemented
81#19098863C2211yescharacteristic, complemented
82#19098863C2211yescharacteristic, complemented
83#19098860C2211yescharacteristic, complemented
84#19098860C2211yescharacteristic, complemented
85#19098860C2211yescharacteristic, complemented
86#19098850C2211yescharacteristic, complemented
87#19098840C2211yescharacteristic, complemented
88#19098814C2211yescharacteristic, complemented
89#19098814C2211yescharacteristic, complemented
90#19098814C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic, complemented
92#19098802C2211yescharacteristic, complemented
93#19098797C2211yescharacteristic
94#19098797C2211yescharacteristic, complemented
95#19098797C2211yescharacteristic, complemented
96#19098797C2211yescharacteristic, complemented
97#19098794C2211yescharacteristic, complemented
98#19098794C2211yescharacteristic, complemented
99#19098790C2211yescharacteristic, complemented
100#19098785C2211yescharacteristic, complemented
101#19098785C2211yescharacteristic, complemented
102#19098782C2211yescharacteristic, complemented
103#19098778C2211yescharacteristic, complemented
104#19098778C2211yescharacteristic, complemented
105#19098778C2211yescharacteristic, complemented
106#19098778C2211yescharacteristic, complemented
107#19098778C2211yescharacteristic, complemented
108#19098778C2211yescharacteristic, complemented
109#19098775C2211yescharacteristic, complemented
110#19098775C2211yescharacteristic, complemented
111#19098775C2211yescharacteristic, complemented
112#19098763C2211yescharacteristic, complemented
113#19098763C2211yescharacteristic, complemented
114#19098763C2211yescharacteristic, complemented
115#19098758C2211yescharacteristic
116#19098758C2211yescharacteristic, complemented
117#19098758C2211yescharacteristic, complemented
118#19098758C2211yescharacteristic, complemented
119#19098758C2211yescharacteristic, complemented
120#19098758C2211yescharacteristic, complemented
121#19098758C2211yescharacteristic, complemented
122#19098758C2211yescharacteristic, complemented
123#19098758C2211yescharacteristic, complemented
124#19098758C2211yescharacteristic, complemented
125#19098758C2211yescharacteristic, complemented
126#19098758C2211yescharacteristic, complemented
127#19098758C2211yescharacteristic, complemented
128#19098755C2211yescharacteristic, complemented
129#19098755C2211yescharacteristic, complemented
130#19098723C2211yescharacteristic, complemented
131#19098714C2211yescharacteristic, complemented
132#19098713C2211yescharacteristic, complemented
133#19098713C2211yescharacteristic, complemented
134#19098713C2211yescharacteristic, complemented
135#19098708C2211yescharacteristic, complemented
136#19098708C2211yescharacteristic, complemented
137#19098706C2211yescharacteristic, complemented
138#19098706C2211yescharacteristic, complemented
139#19098706C2211yescharacteristic, complemented
140#19098697C2211yescharacteristic
141#19098697C2211yescharacteristic, complemented
142#19098697C2211yescharacteristic, complemented
143#19098696C2211yescharacteristic, complemented
144#19098696C2211yescharacteristic, complemented
145#19098696C2211yescharacteristic, complemented
146#19098696C2211yescharacteristic, complemented
147#19098696C2211yescharacteristic, complemented
148#19098694C2211yescharacteristic, complemented
149#19098694C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098673C2211yescharacteristic, complemented
152#19098673C2211yescharacteristic, complemented
153#19098673C2211yescharacteristic, complemented
154#19098673C2211yescharacteristic, complemented
155#19098663C2211yescharacteristic, complemented
156#19098663C2211yescharacteristic, complemented
157#19098661C2211yescharacteristic, complemented
158C4×#11929611C2211yescharacteristic, complemented
159C4×#11929609C2211yescharacteristic, complemented
160C4×#11929609C2211yescharacteristic, complemented
161C4×#11929609C2211yescharacteristic, complemented
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164#19098635C2211yescharacteristic, complemented
165#19098635C2211yescharacteristic, complemented
166D4×C79⋊C8C2211yescharacteristic, complemented
167D4×C79⋊C8C2211yescharacteristic, complemented
168#19098624C2211yescharacteristic, complemented
169#19098624C2211yescharacteristic, complemented
170#19098620C2211yescharacteristic, complemented
171#19098590C2211yescharacteristic, complemented
172#19098590C2211yescharacteristic, complemented
173C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
174#19098567C2211yescharacteristic, complemented
175#19098562C2211yescharacteristic, complemented
176#19098557C2211yescharacteristic, complemented
177C2×#14579081C2211yescharacteristic, complemented
178C2×#14579081C2211yescharacteristic, complemented
179C2×#14579081C2211yescharacteristic, complemented
180#559×C79C2211yescharacteristic, complemented
181#554×C79C2211yescharacteristic, complemented
182#553×C79—21no—
183#553×C79C2211yescharacteristic, complemented
184#552×C79C2211yescharacteristic, complemented
185#551×C79—21no—
186#551×C79—21no—
187#547×C79C2211yescharacteristic, complemented
188#546×C79—21no—
189#546×C79C2211yescharacteristic, complemented
190#546×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic, complemented
192#542×C79C2211yescharacteristic, complemented
193#540×C79C2211yescharacteristic, complemented
194#539×C79—21no—
195#538×C79—21no—
196#529×C79C2211yescharacteristic
197#529×C79C2211yescharacteristic, complemented
198#525×C79—21no—
199C2×#123×C79—21no—
200#520×C79C2211yescharacteristic, complemented
201#518×C79C2211yescharacteristic, complemented
202C2×C4×D4×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929624C2311yescharacteristic
206C22×D316—21no—
207C22×D316—21no—
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C22×D316C2311yescharacteristic
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215#14579187—42no—
216#14579186—42no—
217#14579181—42no—
218C2×#11929614C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929609—42no—
228C2×#11929609—42no—
229C2×#11929609—42no—
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244C2×#11929609C2311yescharacteristic
245C2×#11929608C2311yescharacteristic
246C2×#11929608C2311yescharacteristic
247C22×C79⋊C8C2311yescharacteristic
248C22×C79⋊C8C2311yescharacteristic
249C22×C79⋊C8C2311yescharacteristic
250C22×C79⋊C8C2311yescharacteristic
251#14579158—21no—
252#14579158—21no—
253#14579158C2311yescharacteristic
254#14579158C2311yescharacteristic
255#14579158C2311yescharacteristic
256#14579158C2311yescharacteristic
257#14579158C2311yescharacteristic
258#14579158C2311yescharacteristic
259#14579157—21no—
260#14579155—21no—
261#14579153C2311yescharacteristic
262#14579150—21no—
263#14579149C2311yescharacteristic
264#14579149C2311yescharacteristic
265#14579149C2311yescharacteristic
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579146—21no—
271#14579146—21no—
272#14579146—21no—
273#14579146—21no—
274#14579144—21no—
275#14579140C2311yescharacteristic
276#14579136—21no—
277#14579136—21no—
278#14579136—21no—
279#14579136—21no—
280#14579136—21no—
281#14579136—21no—
282#14579136—21no—
283#14579136—21no—
284#14579136—21no—
285#14579136—21no—
286#14579135C2311yescharacteristic
287#14579135C2311yescharacteristic
288#14579135C2311yescharacteristic
289#14579135C2311yescharacteristic
290#14579135C2311yescharacteristic
291#14579134—21no—
292#14579134—21no—
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579134—21no—
299#14579131—21no—
300#14579131—21no—
301#14579131—21no—
302#14579131—21no—
303#14579131—21no—
304#14579131—21no—
305#14579131—21no—
306#14579131—21no—
307#14579131—21no—
308#14579131—21no—
309#14579129—21no—
310#14579129—21no—
311C4×Dic158C2311yescharacteristic
312C4×D316C2311yescharacteristic
313C4×D316C2311yescharacteristic
314C4×D316C2311yescharacteristic
315C4×D316C2311yescharacteristic
316C4×D316C2311yescharacteristic
317#14579123—21no—
318#14579123—21no—
319C4×C22⋊D79—21no—
320#14579118—21no—
321C22⋊C4×D79—21no—
322C22⋊C4×D79—21no—
323#14579094C2311yescharacteristic
324#14579094C2311yescharacteristic
325#14579094C2311yescharacteristic
326#14579094C2311yescharacteristic
327#14579092C2311yescharacteristic
328#14579092C2311yescharacteristic
329#14579092C2311yescharacteristic
330#14579092C2311yescharacteristic
331C4⋊(C79⋊C8)C2311yescharacteristic
332C4⋊(C79⋊C8)C2311yescharacteristic
333C4⋊(C79⋊C8)C2311yescharacteristic
334C4⋊(C79⋊C8)C2311yescharacteristic
335C4⋊(C79⋊C8)C2311yescharacteristic
336C4⋊(C79⋊C8)C2311yescharacteristic
337C4⋊(C79⋊C8)C2311yescharacteristic
338C4⋊(C79⋊C8)C2311yescharacteristic
339C4⋊(C79⋊C8)C2311yescharacteristic
340C4⋊(C79⋊C8)C2311yescharacteristic
341#14579085C2311yescharacteristic
342#14579085C2311yescharacteristic
343#14579084C2311yescharacteristic
344#14579084C2311yescharacteristic
345#14579084C2311yescharacteristic
346#14579084C2311yescharacteristic
347#14579082C2311yescharacteristic
348#14579082C2311yescharacteristic
349#14579082C2311yescharacteristic
350#14579082C2311yescharacteristic
351#14579082C2311yescharacteristic
352#14579082C2311yescharacteristic
353#14579081C2311yescharacteristic
354#14579081C2311yescharacteristic
355#14579081C2311yescharacteristic
356#14579081C2311yescharacteristic
357#14579081C2311yescharacteristic
358#14579081C2311yescharacteristic
359#14579081C2311yescharacteristic
360#14579081C2311yescharacteristic
361#14579081C2311yescharacteristic
362#14579081C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366#14579081C2311yescharacteristic
367#14579081C2311yescharacteristic
368#14579081C2311yescharacteristic
369#14579081C2311yescharacteristic
370#14579081C2311yescharacteristic
371#14579081C2311yescharacteristic
372#14579081C2311yescharacteristic
373C22⋊(C79⋊C8)C2311yescharacteristic
374C22⋊(C79⋊C8)C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379#14579072C2311yescharacteristic
380#14579072C2311yescharacteristic
381#14579072C2311yescharacteristic
382#14579072C2311yescharacteristic
383C4×C79⋊C8C2311yescharacteristic
384C4×C79⋊C8C2311yescharacteristic
385C2×#41×C79—21no—
386C2×#41×C79C2311yescharacteristic
387C22×D4×C79—21no—
388C22×D4×C79C2311yescharacteristic
389C22×D4×C79C2311yescharacteristic
390C23×C4×C79—21no—
391C4⋊Q8×C79C2311yescharacteristic
392#127×C79C2311yescharacteristic
393#126×C79—21no—
394#126×C79—21no—
395#126×C79—21no—
396#126×C79—21no—
397#126×C79D411yescharacteristic
398#126×C79D411yescharacteristic
399#125×C79—21no—
400#125×C79D411yescharacteristic
401#125×C79C2311yescharacteristic
402#125×C79C2311yescharacteristic
403#124×C79—21no—
404#124×C79—21no—
405#124×C79D411yescharacteristic
406#124×C79C2311yescharacteristic
407#124×C79C2311yescharacteristic
408#123×C79—21no—
409#123×C79—21no—
410#123×C79—21no—
411#123×C79—21no—
412#123×C79—21no—
413#123×C79—21no—
414#123×C79—21no—
415#123×C79—21no—
416#123×C79—21no—
417#123×C79—21no—
418#123×C79—21no—
419#123×C79—21no—
420#123×C79D411yescharacteristic
421#123×C79D411yescharacteristic
422C22⋊Q8×C79—21no—
423C22⋊Q8×C79—21no—
424C22⋊Q8×C79—21no—
425C22⋊Q8×C79—21no—
426C22⋊Q8×C79—21no—
427C22⋊Q8×C79D411yescharacteristic
428C22⋊Q8×C79C2311yescharacteristic
429C22⋊Q8×C79C2311yescharacteristic
430#121×C79—21no—
431#121×C79—21no—
432#121×C79—21no—
433#121×C79—21no—
434#121×C79—21no—
435#121×C79—21no—
436#121×C79D411yescharacteristic
437#121×C79C2311yescharacteristic
438#121×C79C2311yescharacteristic
439#121×C79C2311yescharacteristic
440#121×C79C2311yescharacteristic
441#120×C79—21no—
442#120×C79—21no—
443#120×C79—21no—
444#120×C79—21no—
445C4×Q8×C79C2311yescharacteristic
446C4×Q8×C79C2311yescharacteristic
447C4×Q8×C79C2311yescharacteristic
448C4×D4×C79—21no—
449C4×D4×C79—21no—
450C4×D4×C79—21no—
451C4×D4×C79—21no—
452C4×D4×C79—21no—
453C4×D4×C79—21no—
454C4×D4×C79—21no—
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468#117×C79—21no—
469#117×C79—21no—
470#117×C79—21no—
471#117×C79C2311yescharacteristic
472#117×C79C2311yescharacteristic
473#117×C79C2311yescharacteristic
474C2×C4⋊C4×C79—21no—
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C4⋊C4×C79C2311yescharacteristic
478C2×C22⋊C4×C79—21no—
479C2×C22⋊C4×C79—21no—
480C2×C22⋊C4×C79—21no—
481C2×C22⋊C4×C79—21no—
482C2×C22⋊C4×C79—21no—
483C2×C42×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929625—82no—
489#11929624—41no—
490#11929624—41no—
491#11929624—41no—
492#11929624—41no—
493C2×Dic158C2411yescharacteristic
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—21no—
505C2×D316—21no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—41no—
511C2×D316—41no—
512C2×D316—41no—
513C2×D316—41no—
514C2×D316—41no—
515C2×D316—41no—
516C2×D316—41no—
517C2×D316—41no—
518C2×D316—82no—
519C2×D316—82no—
520C2×D316C2411yescharacteristic
521C2×D316C2411yescharacteristic
522C2×D316C2411yescharacteristic
523C2×D316C2411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532D4×D79—82no—
533D4×D79—82no—
534D4×D79—82no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542#11929614—41no—
543#11929612—22no—
544#11929612—41no—
545#11929612—41no—
546#11929611—41no—
547#11929611—41no—
548#11929611—41no—
549#11929611—41no—
550#11929611—41no—
551#11929609—22no—
552#11929609—22no—
553#11929609—22no—
554#11929609—22no—
555#11929609—22no—
556#11929609—41no—
557#11929609—41no—
558#11929609—41no—
559#11929609—41no—
560#11929609—41no—
561#11929609—41no—
562#11929609—41no—
563#11929609—41no—
564#11929609—41no—
565#11929609—41no—
566#11929608—41no—
567#11929608—41no—
568C2×C79⋊C8—41no—
569C2×C79⋊C8—41no—
570C2×C79⋊C8—41no—
571C2×C79⋊C8—41no—
572C2×C79⋊C8C2411yescharacteristic
573C2×C79⋊C8C2411yescharacteristic
574C2×C79⋊C8C2411yescharacteristic
575C2×C79⋊C8C2411yescharacteristic
576C2×C79⋊C8C2411yescharacteristic
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586C22⋊Dic79—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603C4×Dic79—21no—
604C24×C79—21no—
605C24×C79—21no—
606#41×C79—22no—
607#41×C79—41no—
608#41×C79—82no—
609C2×Q8×C79—21no—
610C2×Q8×C79C2×D411yescharacteristic
611C2×Q8×C79C2411yescharacteristic
612C2×D4×C79—22no—
613C2×D4×C79—22no—
614C2×D4×C79—21no—
615C2×D4×C79—21no—
616C2×D4×C79—21no—
617C2×D4×C79—21no—
618C2×D4×C79—21no—
619C2×D4×C79—21no—
620C2×D4×C79—21no—
621C2×D4×C79—21no—
622C2×D4×C79—21no—
623C2×D4×C79—41no—
624C2×D4×C79—41no—
625C2×D4×C79—82no—
626C2×D4×C79C2×D411yescharacteristic
627C2×D4×C79C2×D411yescharacteristic
628C2×D4×C79C2×D411yescharacteristic
629C2×D4×C79C2411yescharacteristic
630C2×D4×C79C2411yescharacteristic
631C2×D4×C79C2411yescharacteristic
632C22×C4×C79—21no—
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639C22×C4×C79—21no—
640C22×C4×C79—21no—
641C22×C4×C79—21no—
642C22×C4×C79—21no—
643C22×C4×C79—82no—
644C22×C4×C79C2×D411yescharacteristic
645C22×C4×C79C2×D411yescharacteristic
646C22×C4×C79C2411yescharacteristic
647C22×C4×C79C2411yescharacteristic
648C22×C4×C79C2411yescharacteristic
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79—21no—
655C4⋊C4×C79—21no—
656C4⋊C4×C79—21no—
657C4⋊C4×C79—21no—
658C4⋊C4×C79—21no—
659C4⋊C4×C79—21no—
660C4⋊C4×C79C2×D411yescharacteristic
661C4⋊C4×C79C2×D411yescharacteristic
662C4⋊C4×C79C2×D411yescharacteristic
663C4⋊C4×C79C2×D411yescharacteristic
664C4⋊C4×C79C2×D411yescharacteristic
665C4⋊C4×C79C2×D411yescharacteristic
666C4⋊C4×C79C2×D411yescharacteristic
667C4⋊C4×C79C2×D411yescharacteristic
668C4⋊C4×C79C2×D411yescharacteristic
669C4⋊C4×C79C2×D411yescharacteristic
670C4⋊C4×C79C2411yescharacteristic
671C4⋊C4×C79C2411yescharacteristic
672C4⋊C4×C79C2411yescharacteristic
673C4⋊C4×C79C2411yescharacteristic
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C22⋊C4×C79—21no—
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
693C22⋊C4×C79C2×D411yescharacteristic
694C22⋊C4×C79C2×D411yescharacteristic
695C22⋊C4×C79C2×D411yescharacteristic
696C22⋊C4×C79C2×D411yescharacteristic
697C22⋊C4×C79C2×D411yescharacteristic
698C22⋊C4×C79C2×D411yescharacteristic
699C22⋊C4×C79C2×D411yescharacteristic
700C22⋊C4×C79C2×D411yescharacteristic
701C22⋊C4×C79C2×D411yescharacteristic
702C22⋊C4×C79C2×D411yescharacteristic
703C42×C79—21no—
704C42×C79—21no—
705C42×C79—21no—
706C42×C79C2×D411yescharacteristic
707C42×C79C2×D411yescharacteristic
708C42×C79C2411yescharacteristic
709C42×C79C2411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—42no—
716C23×C79—42no—
717C23×C79—42no—
718C23×C79—81no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79C22×D411yescharacteristic
722C23×C79C22×D411yescharacteristic
723C23×C79C22×D411yescharacteristic
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—21no—
728C22×D79—21no—
729C22×D79—42no—
730C22×D79—42no—
731C22×D79—81no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79—81no—
740C22×D79—81no—
741Q8×C79—21no—
742Q8×C79—21no—
743Q8×C79—41no—
744Q8×C79—81no—
745D4×C79—22no—
746D4×C79—22no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—41no—
753D4×C79—42no—
754D4×C79—42no—
755D4×C79—42no—
756D4×C79—42no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79—81no—
760D4×C79—81no—
761D4×C79—81no—
762D4×C79H(5,𝔽2)12yes—
763C2×C4×C79—22no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—41no—
776C2×C4×C79—42no—
777C2×C4×C79—42no—
778C2×C4×C79—81no—
779C2×C4×C79—81no—
780C2×C4×C79—81no—
781C2×C4×C79—81no—
782C2×C4×C79—81no—
783C2×C4×C79—81no—
784C2×C4×C79—81no—
785C2×C4×C79—81no—
786C2×C4×C79—81no—
787C2×C4×C79C22×D411yescharacteristic
788C2×C4×C79C22×D411yescharacteristic
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C22×D411yescharacteristic
791C2×C4×C79C22×D411yescharacteristic
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C22×D411yescharacteristic
794C2×C4×C79C22×D411yescharacteristic
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C2511yescharacteristic
799C22⋊D79—42no—
800C22⋊D79—81no—
801C22⋊D79—81no—
802C22⋊D79—81no—
803C22⋊D79—81no—
804C22⋊D79—81no—
805C22⋊D79—81no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809D316—21no—
810D316—21no—
811D316—21no—
812D316—21no—
813D316—21no—
814D316—21no—
815D316—21no—
816D316—21no—
817D316—21no—
818D316—21no—
819D316—42no—
820D316—42no—
821D316—81no—
822D316—81no—
823D316—81no—
824D316—81no—
825D316—81no—
826D316—81no—
827D316—81no—
828D316—81no—
829D316—81no—
830D316—81no—
831D316—81no—
832D316—81no—
833D316—81no—
834D316—81no—
835C4×D79—42no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840C4×D79—81no—
841C4×D79—81no—
842Dic158—21no—
843Dic158—21no—
844C79⋊C8—21no—
845C79⋊C8—21no—
846C79⋊C8—21no—
847C79⋊C8—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—21no—
855C22×C79—21no—
856C22×C79—21no—
857C22×C79—21no—
858C22×C79—22no—
859C22×C79—21no—
860C22×C79—21no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—84no—
870C22×C79—162no—
871C22×C79#57612yes—
872C22×C79C23×D411yescharacteristic
873C2×D79—41no—
874C2×D79—41no—
875C2×D79—41no—
876C2×D79—41no—
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—162no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—21no—
897C4×C79—21no—
898C4×C79—21no—
899C4×C79—21no—
900C4×C79—21no—
901C4×C79—21no—
902C4×C79—21no—
903C4×C79—41no—
904C4×C79—41no—
905C4×C79—41no—
906C4×C79—41no—
907C4×C79—41no—
908C4×C79C2×H(5,𝔽2)11yescharacteristic
909C4×C79#58511yescharacteristic
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—41no—
916C2×C79—41no—
917C2×C79—42no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—81no—
924D79—81no—
925D79—81no—
926D79—81no—
927D79—81no—
928#3543—791no—
929#3513D7911yescharacteristic, complemented
930#3403—791no—
931#3399—791no—
932#3370—791no—
933#3366—791no—
934#3318—791no—
935#3310—791no—
936#3309—791no—
937#3306—791no—
938#3296—791no—
939#3294—791no—
940#3280—791no—
941D4×D8—791no—
942#3268—791no—
943#3264—791no—
944#3264—791no—
945#3264—791no—
946#3259—791no—
947#3257—791no—
948#3250—791no—
949#3224—791no—
950#3220—791no—
951#3217—791no—
952#3122—791no—
953#3119—791no—
954#3114—791no—
955#3045—791no—
956#3041—791no—
957C2×#459—791no—
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C2×#135—791no—
963C22×D8—791no—
964C22×D8—791no—
965C22×D8—791no—
966#560—1581no—
967#560—1581no—
968#559—791no—
969#559C2×D7911yescharacteristic, complemented
970#554C2×D7911yescharacteristic, complemented
971#553—21no—
972#553C2×D7911yescharacteristic, complemented
973#552C2×D7911yescharacteristic, complemented
974#551—21no—
975#551—21no—
976#550—791no—
977#550—791no—
978#547C2×D7911yescharacteristic, complemented
979#546—21no—
980#546—791no—
981#546—791no—
982#546—1581no—
983#546C2×D7911yescharacteristic, complemented
984#546C2×D7911yescharacteristic, complemented
985D42—791no—
986D42—791no—
987D42—791no—
988D42—1581no—
989D42C2×D7911yescharacteristic, complemented
990#542C2×D7911yescharacteristic, complemented
991#540—791no—
992#540—791no—
993#540—1581no—
994#540C2×D7911yescharacteristic, complemented
995#539—21no—
996#538—21no—
997#535—791no—
998#535—791no—
999#535—1581no—
1000#534—1581no—
1001#534—1581no—
1002C2×#127—791no—
1003#529—791no—
1004#529C2×D7911yescharacteristic
1005#529C2×D7911yescharacteristic, complemented
1006#525—21no—
1007C2×#123—21no—
1008#520C2×D7911yescharacteristic, complemented
1009#518C2×D7911yescharacteristic, complemented
1010C2×C4×D4C2×D7911yescharacteristic, complemented
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#495—791no—
1016#493—791no—
1017#490—791no—
1018#490—791no—
1019#490—791no—
1020#489—791no—
1021#488—791no—
1022#486—791no—
1023#483—791no—
1024#482—791no—
1025#482—791no—
1026#481—791no—
1027#480—791no—
1028#480—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#478—791no—
1034#478—791no—
1035#478—791no—
1036#478—791no—
1037#476—791no—
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
1042#468—791no—
1043#467—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#465—791no—
1049#465—791no—
1050#465—791no—
1051#464—791no—
1052#464—791no—
1053#464—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463—791no—
1063#460—791no—
1064#460—791no—
1065#460—791no—
1066#459—791no—
1067#459—791no—
1068#459—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459—791no—
1080#459—791no—
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450—791no—
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#449—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447—791no—
1098#447—791no—
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#440—791no—
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×D8—791no—
1111C4×D8—791no—
1112C4×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435—791no—
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#417—791no—
1127#416—791no—
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102—791no—
1131C2×#41—21no—
1132C2×#41—791no—
1133C2×#41—791no—
1134C2×#41—1581no—
1135C2×#41C22×D7911yescharacteristic
1136C22×D4—21no—
1137C22×D4—791no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—1581no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4—1581no—
1146C22×D4C22×D7911yescharacteristic
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—21no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151#135—3162no—
1152C2×Q16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16—791no—
1159C2×SD16—791no—
1160C2×SD16—791no—
1161C2×D8—3162no—
1162C2×D8—3162no—
1163C2×D8—3162no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8—791no—
1176C2×D8—791no—
1177C2×D8—791no—
1178C2×D8—791no—
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8—791no—
1185C4⋊Q8C22×D7911yescharacteristic
1186#127—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—791no—
1192#127—1581no—
1193#127—1581no—
1194#127—1581no—
1195#127C22×D7911yescharacteristic
1196#126—21no—
1197#126—21no—
1198#126—21no—
1199#126—21no—
1200#126—1581no—
1201#126C22⋊D7911yescharacteristic
1202#126C22⋊D7911yescharacteristic
1203#125—21no—
1204#125—791no—
1205#125C22⋊D7911yescharacteristic
1206#125C22×D7911yescharacteristic
1207#125C22×D7911yescharacteristic
1208#124—21no—
1209#124—21no—
1210#124—791no—
1211#124—791no—
1212#124—791no—
1213#124—1581no—
1214#124C22⋊D7911yescharacteristic
1215#124C22×D7911yescharacteristic
1216#124C22×D7911yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—21no—
1220#123—21no—
1221#123—21no—
1222#123—21no—
1223#123—21no—
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
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#123C22⋊D7911yescharacteristic
1239#123C22⋊D7911yescharacteristic
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—791no—
1246C22⋊Q8C22⋊D7911yescharacteristic
1247C22⋊Q8C22×D7911yescharacteristic
1248C22⋊Q8C22×D7911yescharacteristic
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—791no—
1256#121—791no—
1257#121—791no—
1258#121—791no—
1259#121—791no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121C22⋊D7911yescharacteristic
1279#121C22×D7911yescharacteristic
1280#121C22×D7911yescharacteristic
1281#121C22×D7911yescharacteristic
1282#121C22×D7911yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—21no—
1286#120—21no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8C22×D7911yescharacteristic
1301C4×Q8C22×D7911yescharacteristic
1302C4×Q8C22×D7911yescharacteristic
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—21no—
1306C4×D4—21no—
1307C4×D4—21no—
1308C4×D4—21no—
1309C4×D4—21no—
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—791no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4—1581no—
1320C4×D4C22×D7911yescharacteristic
1321C4×D4C22×D7911yescharacteristic
1322C4×D4C22×D7911yescharacteristic
1323C4×D4C22×D7911yescharacteristic
1324C4×D4C22×D7911yescharacteristic
1325C4×D4C22×D7911yescharacteristic
1326C4×D4C22×D7911yescharacteristic
1327C4×D4C22×D7911yescharacteristic
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—21no—
1332#117—21no—
1333#117—21no—
1334#117—1581no—
1335#117C22×D7911yescharacteristic
1336#117C22×D7911yescharacteristic
1337#117C22×D7911yescharacteristic
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—21no—
1340C2×C4⋊C4C22×D7911yescharacteristic
1341C2×C4⋊C4C22×D7911yescharacteristic
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—21no—
1345C2×C22⋊C4—21no—
1346C2×C22⋊C4—21no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42C22×D7911yescharacteristic
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107—791no—
1354#106—791no—
1355#106—791no—
1356#106—791no—
1357#106—791no—
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8—791no—
1367C4⋊C8—791no—
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102—791no—
1393#102—791no—
1394#102—791no—
1395#102—791no—
1396#102—791no—
1397#102—791no—
1398#102—791no—
1399#102—791no—
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8—791no—
1405C22⋊C8—791no—
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97—791no—
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—21no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—22no—
1419#41—41no—
1420#41—82no—
1421#41—3161no—
1422#41—3161no—
1423#41—3161no—
1424#41—3161no—
1425#41—6322no—
1426C2×Q8—21no—
1427C2×Q8—791no—
1428C2×Q8C2×C22⋊D7911yescharacteristic
1429C2×Q8C23×D7911yescharacteristic
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—82no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—3161no—
1452C2×D4—791no—
1453C2×D4—791no—
1454C2×D4—791no—
1455C2×D4—791no—
1456C2×D4—791no—
1457C2×D4—6322no—
1458C2×D4—6322no—
1459C2×D4—6322no—
1460C2×D4—6322no—
1461C2×D4—6322no—
1462C2×D4—1581no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1581no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4C2×C22⋊D7911yescharacteristic
1486C2×D4C2×C22⋊D7911yescharacteristic
1487C2×D4C2×C22⋊D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—82no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4C2×C22⋊D7911yescharacteristic
1511C22×C4C2×C22⋊D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—3161no—
1517SD16—3161no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—1582no—
1524D8—3161no—
1525D8—3161no—
1526D8—3161no—
1527D8—3161no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—1582no—
1535D8—1582no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—3161no—
1540M16—3161no—
1541C2×C8—3161no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8—791no—
1550C2×C8—791no—
1551C2×C8—791no—
1552C2×C8—791no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—1581no—
1567C4⋊C4—1581no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4C2×C22⋊D7911yescharacteristic
1571C4⋊C4C2×C22⋊D7911yescharacteristic
1572C4⋊C4C2×C22⋊D7911yescharacteristic
1573C4⋊C4C2×C22⋊D7911yescharacteristic
1574C4⋊C4C2×C22⋊D7911yescharacteristic
1575C4⋊C4C2×C22⋊D7911yescharacteristic
1576C4⋊C4C2×C22⋊D7911yescharacteristic
1577C4⋊C4C2×C22⋊D7911yescharacteristic
1578C4⋊C4C2×C22⋊D7911yescharacteristic
1579C4⋊C4C2×C22⋊D7911yescharacteristic
1580C4⋊C4C23×D7911yescharacteristic
1581C4⋊C4C23×D7911yescharacteristic
1582C4⋊C4C23×D7911yescharacteristic
1583C4⋊C4C23×D7911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4C2×C22⋊D7911yescharacteristic
1621C22⋊C4C2×C22⋊D7911yescharacteristic
1622C22⋊C4C2×C22⋊D7911yescharacteristic
1623C22⋊C4C2×C22⋊D7911yescharacteristic
1624C22⋊C4C2×C22⋊D7911yescharacteristic
1625C22⋊C4C2×C22⋊D7911yescharacteristic
1626C22⋊C4C2×C22⋊D7911yescharacteristic
1627C22⋊C4C2×C22⋊D7911yescharacteristic
1628C22⋊C4C2×C22⋊D7911yescharacteristic
1629C22⋊C4C2×C22⋊D7911yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—1581no—
1634C42C2×C22⋊D7911yescharacteristic
1635C42C2×C22⋊D7911yescharacteristic
1636C42C23×D7911yescharacteristic
1637C42C23×D7911yescharacteristic
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—42no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—3162no—
1650C23—3162no—
1651C23—6321no—
1652C23—6321no—
1653C23—6321no—
1654C23—6321no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—1581no—
1662C23—1581no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23C22×C22⋊D7911yescharacteristic
1667C23C22×C22⋊D7911yescharacteristic
1668C23C22×C22⋊D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—41no—
1672Q8—81no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—42no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—3162no—
1693D4—3162no—
1694D4—3162no—
1695D4—6321no—
1696D4—6321no—
1697D4—6321no—
1698D4—6321no—
1699D4—6321no—
1700D4—6321no—
1701D4—6321no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—1581no—
1716D4—1581no—
1717D4—1581no—
1718D4—1581no—
1719D4—1581no—
1720D4—1581no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4#1457920712yes—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—3162no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—6321no—
1757C2×C4—1581no—
1758C2×C4—1581no—
1759C2×C4—1581no—
1760C2×C4C22×C22⋊D7911yescharacteristic
1761C2×C4C22×C22⋊D7911yescharacteristic
1762C2×C4C22×C22⋊D7911yescharacteristic
1763C2×C4C22×C22⋊D7911yescharacteristic
1764C2×C4C22×C22⋊D7911yescharacteristic
1765C2×C4C22×C22⋊D7911yescharacteristic
1766C2×C4C22×C22⋊D7911yescharacteristic
1767C2×C4C22×C22⋊D7911yescharacteristic
1768C2×C4C22×C22⋊D7911yescharacteristic
1769C2×C4C22×C22⋊D7911yescharacteristic
1770C2×C4C22×C22⋊D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—1581no—
1773C8—1581no—
1774C8—1581no—
1775C8—1581no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—22no—
1785C22—21no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—84no—
1798C22—162no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—3161no—
1810C22—3161no—
1811C22—3161no—
1812C22—3161no—
1813C22—3161no—
1814C22—12642no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936612yes—
1819C22C23×C22⋊D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—3161no—
1837C4—3161no—
1838C4—3161no—
1839C4C2×#1457920711yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—41no—
1844C2—42no—
1845C2—81no—
1846C2—81no—
1847C2—6321no—
1848C2—6321no—
1849C2—6321no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706911yescharacteristic
1853C2C2×#1909936611yescharacteristic
1854C2#2377817911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3513C2
socleC22×C79C23×D4
hypercenter#3513D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #23777730C2semidirect
2. #23776484C2semidirect
3. #23776438C2semidirect
4. #23776153C2semidirect
5. #23776107C2semidirect
6. #23775535C2semidirect
7. #23775415C2semidirect
8. #23775400C2semidirect
9. #23775355C2semidirect
10. #23775229C2semidirect
11. #23775207C2semidirect
12. #23775081C2semidirect
13. D4×#11929609C2semidirect
14. #23774936C2semidirect
15. #23774881C2semidirect
16. #23774881C2semidirect
17. #23774876C2semidirect
18. #23774835C2semidirect
19. #23774811C2semidirect
20. #23774747C2semidirect
21. #23774488C2semidirect
22. #23774444C2semidirect
23. #23774415C2semidirect
24. #23773643C2semidirect
25. #23773599C2semidirect
26. #23773538C2semidirect
27. #23772939C2semidirect
28. #23772903C2semidirect
29. C2×#19098758C2semidirect
30. #23772539C2semidirect
31. C79×#3513C2semidirect
32. C2×#14579187C22semidirect
33. C2×#14579186C22semidirect
34. C2×#14579181C22semidirect
35. C22×#11929609C22semidirect
36. C22×#11929609C22semidirect
37. C22×#11929609C22semidirect
40. #19099298C22semidirect
41. #19099235C22semidirect
42. #19099234C22semidirect
44. #19099209C22semidirect
47. D4×D316C22semidirect
48. D4×D316C22semidirect
51. #19099168C22semidirect
52. #19099168C22semidirect
53. #19099132C22semidirect
54. #19099132C22semidirect
58. C2×#14579158C22semidirect
59. #19099097C22semidirect
60. #19098953C22semidirect
61. #19098953C22semidirect
62. #19098953C22semidirect
63. #19098950C22semidirect
64. #19098945C22semidirect
65. #19098939C22semidirect
66. #19098929C22semidirect
67. #19098929C22semidirect
68. #19098929C22semidirect
69. #19098925C22semidirect
70. #19098920C22semidirect
71. #19098911C22semidirect
72. #19098893C22semidirect
73. #19098887C22semidirect
74. #19098887C22semidirect
75. #19098881C22semidirect
76. #19098876C22semidirect
77. #19098876C22semidirect
78. #19098870C22semidirect
79. #19098867C22semidirect
80. #19098863C22semidirect
81. #19098863C22semidirect
82. #19098863C22semidirect
83. #19098860C22semidirect
84. #19098860C22semidirect
85. #19098860C22semidirect
86. #19098850C22semidirect
87. #19098840C22semidirect
88. #19098814C22semidirect
89. #19098814C22semidirect
90. #19098814C22semidirect
91. #19098811C22semidirect
92. #19098802C22semidirect
94. #19098797C22semidirect
95. #19098797C22semidirect
96. #19098797C22semidirect
97. #19098794C22semidirect
98. #19098794C22semidirect
99. #19098790C22semidirect
100. #19098785C22semidirect
101. #19098785C22semidirect
102. #19098782C22semidirect
103. #19098778C22semidirect
104. #19098778C22semidirect
105. #19098778C22semidirect
106. #19098778C22semidirect
107. #19098778C22semidirect
108. #19098778C22semidirect
109. #19098775C22semidirect
110. #19098775C22semidirect
111. #19098775C22semidirect
112. #19098763C22semidirect
113. #19098763C22semidirect
114. #19098763C22semidirect
116. #19098758C22semidirect
117. #19098758C22semidirect
118. #19098758C22semidirect
119. #19098758C22semidirect
120. #19098758C22semidirect
121. #19098758C22semidirect
122. #19098758C22semidirect
123. #19098758C22semidirect
124. #19098758C22semidirect
125. #19098758C22semidirect
126. #19098758C22semidirect
127. #19098758C22semidirect
128. #19098755C22semidirect
129. #19098755C22semidirect
130. #19098723C22semidirect
131. #19098714C22semidirect
132. #19098713C22semidirect
133. #19098713C22semidirect
134. #19098713C22semidirect
135. #19098708C22semidirect
136. #19098708C22semidirect
137. #19098706C22semidirect
138. #19098706C22semidirect
139. #19098706C22semidirect
141. #19098697C22semidirect
142. #19098697C22semidirect
143. #19098696C22semidirect
144. #19098696C22semidirect
145. #19098696C22semidirect
146. #19098696C22semidirect
147. #19098696C22semidirect
148. #19098694C22semidirect
149. #19098694C22semidirect
150. #19098673C22semidirect
151. #19098673C22semidirect
152. #19098673C22semidirect
153. #19098673C22semidirect
154. #19098673C22semidirect
155. #19098663C22semidirect
156. #19098663C22semidirect
157. #19098661C22semidirect
158. C4×#11929611C22semidirect
159. C4×#11929609C22semidirect
160. C4×#11929609C22semidirect
161. C4×#11929609C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. #19098635C22semidirect
165. #19098635C22semidirect
166. D4×C79⋊C8C22semidirect
167. D4×C79⋊C8C22semidirect
168. #19098624C22semidirect
169. #19098624C22semidirect
170. #19098620C22semidirect
171. #19098590C22semidirect
172. #19098590C22semidirect
173. C2×C4⋊(C79⋊C8)C22semidirect
174. #19098567C22semidirect
175. #19098562C22semidirect
176. #19098557C22semidirect
177. C2×#14579081C22semidirect
178. C2×#14579081C22semidirect
179. C2×#14579081C22semidirect
180. #559×C79C22semidirect
181. #554×C79C22semidirect
183. #553×C79C22semidirect
184. #552×C79C22semidirect
187. #547×C79C22semidirect
189. #546×C79C22semidirect
190. #546×C79C22semidirect
191. D42×C79C22semidirect
192. #542×C79C22semidirect
193. #540×C79C22semidirect
197. #529×C79C22semidirect
200. #520×C79C22semidirect
201. #518×C79C22semidirect
202. C2×C4×D4×C79C22semidirect
929. #3513D79semidirect
959. C79#62007semidirect
969. #559C2×D79semidirect
970. #554C2×D79semidirect
972. #553C2×D79semidirect
973. #552C2×D79semidirect
978. #547C2×D79semidirect
983. #546C2×D79semidirect
984. #546C2×D79semidirect
989. D42C2×D79semidirect
990. #542C2×D79semidirect
994. #540C2×D79semidirect
1005. #529C2×D79semidirect
1008. #520C2×D79semidirect
1009. #518C2×D79semidirect
1010. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777302
#237764842
#237764382
#237761532
#237761072
#237755352
#237754152
#237754002
#237753552
#237752292
#237752072
#237750812
D4×#119296092
#237749362
#237748812
#237748762
#237748352
#237748112
#237747472
#237744882
#237744442
#237744152
#237736432
#237735992
#237735382
#237729392
#237729032
C2×#190987582
#237725392
C79×#35132
#6200779