Finite Group Databasebeta

← #35173930

Subgroups — #35173930

Order 20224.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777042C211yesmaximal, characteristic, complemented
2#23775710C211yesmaximal, characteristic, complemented
3#23775595C211yesmaximal, characteristic, complemented
4#23775490C211yesmaximal, characteristic, complemented
5#23775475C211yesmaximal, characteristic, complemented
6#23775430C211yesmaximal, characteristic, complemented
7#23775370C211yesmaximal, characteristic, complemented
8#23775311C211yesmaximal, characteristic, complemented
9#23775229C211yesmaximal, characteristic, complemented
10#23775118C211yesmaximal, characteristic, complemented
11#23775108C211yesmaximal, characteristic, complemented
12#23775046C211yesmaximal, characteristic, complemented
13#23775032C211yesmaximal, characteristic, complemented
14#23774956C211yesmaximal, characteristic, complemented
15#23774956C211yesmaximal, characteristic, complemented
16#23774926C211yesmaximal, characteristic, complemented
17#23774911C211yesmaximal, characteristic, complemented
18#23774503C211yesmaximal, characteristic, complemented
19#23774477C211yesmaximal, characteristic, complemented
20#23774291C211yesmaximal, characteristic, complemented
21#23774276C211yesmaximal, characteristic, complemented
22#23774237C211yesmaximal, characteristic, complemented
23#23774181C211yesmaximal, characteristic, complemented
24#23773647C211yesmaximal, characteristic, complemented
25#23773578C211yesmaximal, characteristic, complemented
26#23772701C211yesmaximal, characteristic, complemented
27#23772675C211yesmaximal, characteristic, complemented
28#23772658C211yesmaximal, characteristic, complemented
29#23772616C211yesmaximal, characteristic, complemented
30#23772448C211yesmaximal, characteristic, complemented
31C79×#3541C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C22×#11929624C2211yescharacteristic
34C2×#14579192C2211yescharacteristic, complemented
35C2×#14579192C2211yescharacteristic, complemented
36C2×#14579192C2211yescharacteristic, complemented
37C2×#14579186C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39C2×#14579181C2211yescharacteristic, complemented
40C2×#14579181C2211yescharacteristic, complemented
41C22×#11929611C2211yescharacteristic, complemented
42#19099218C2211yescharacteristic
43#19099218C2211yescharacteristic
44#19099218C2211yescharacteristic
45#19099218C2211yescharacteristic
46#19099215—21no—
47#19099215—21no—
48#19099210—21no—
49#19099210—21no—
50#19099209C2211yescharacteristic
51#19099209C2211yescharacteristic
52#19099209C2211yescharacteristic
53#19099209C2211yescharacteristic
54#19099139C2211yescharacteristic
55#19099134C2211yescharacteristic
56#19099123—21no—
57#19099123—21no—
58#19099074C2211yescharacteristic
59#123×D79—21no—
60#123×D79—21no—
61#19099037C2211yescharacteristic
62#19098958C2211yescharacteristic, complemented
63#19098955C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098942C2211yescharacteristic, complemented
66#19098933C2211yescharacteristic, complemented
67#19098925C2211yescharacteristic, complemented
68#19098920C2211yescharacteristic, complemented
69#19098915C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic, complemented
71#19098904C2211yescharacteristic, complemented
72#19098904C2211yescharacteristic, complemented
73#19098901C2211yescharacteristic, complemented
74#19098901C2211yescharacteristic, complemented
75#19098901C2211yescharacteristic, complemented
76#19098898C2211yescharacteristic, complemented
77#19098893C2211yescharacteristic, complemented
78#19098893C2211yescharacteristic, complemented
79#19098887C2211yescharacteristic, complemented
80#19098884C2211yescharacteristic, complemented
81#19098876C2211yescharacteristic, complemented
82#19098860C2211yescharacteristic, complemented
83#19098860C2211yescharacteristic, complemented
84#19098850C2211yescharacteristic, complemented
85#19098840C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic, complemented
87#19098819C2211yescharacteristic, complemented
88#19098819C2211yescharacteristic, complemented
89#19098819C2211yescharacteristic, complemented
90#19098814C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic, complemented
92#19098807C2211yescharacteristic, complemented
93#19098807C2211yescharacteristic, complemented
94#19098802C2211yescharacteristic, complemented
95#19098802C2211yescharacteristic, complemented
96#19098802C2211yescharacteristic, complemented
97#19098802C2211yescharacteristic, complemented
98#19098802C2211yescharacteristic, complemented
99#19098794C2211yescharacteristic, complemented
100#19098794C2211yescharacteristic, complemented
101#19098790C2211yescharacteristic, complemented
102#19098785C2211yescharacteristic, complemented
103#19098785C2211yescharacteristic, complemented
104#19098785C2211yescharacteristic, complemented
105#19098778C2211yescharacteristic, complemented
106#19098775C2211yescharacteristic, complemented
107#19098775C2211yescharacteristic, complemented
108#19098773C2211yescharacteristic, complemented
109#19098773C2211yescharacteristic, complemented
110#19098773C2211yescharacteristic, complemented
111#19098768C2211yescharacteristic, complemented
112#19098765C2211yescharacteristic, complemented
113#19098765C2211yescharacteristic, complemented
114#19098725C2211yescharacteristic, complemented
115#19098725C2211yescharacteristic, complemented
116#19098725C2211yescharacteristic, complemented
117#19098723C2211yescharacteristic
118#19098723C2211yescharacteristic
119#19098723C2211yescharacteristic
120#19098723C2211yescharacteristic, complemented
121#19098723C2211yescharacteristic, complemented
122#19098723C2211yescharacteristic, complemented
123#19098723C2211yescharacteristic, complemented
124#19098723C2211yescharacteristic, complemented
125#19098723C2211yescharacteristic, complemented
126#19098723C2211yescharacteristic, complemented
127#19098723C2211yescharacteristic, complemented
128#19098723C2211yescharacteristic, complemented
129#19098719C2211yescharacteristic, complemented
130#19098719C2211yescharacteristic, complemented
131#19098719C2211yescharacteristic, complemented
132#19098718C2211yescharacteristic, complemented
133#19098718C2211yescharacteristic, complemented
134#19098718C2211yescharacteristic, complemented
135#19098713C2211yescharacteristic
136#19098713C2211yescharacteristic
137#19098713C2211yescharacteristic
138#19098713C2211yescharacteristic, complemented
139#19098713C2211yescharacteristic, complemented
140#19098713C2211yescharacteristic, complemented
141#19098708C2211yescharacteristic, complemented
142#19098706C2211yescharacteristic
143#19098706C2211yescharacteristic, complemented
144#19098706C2211yescharacteristic, complemented
145#19098706C2211yescharacteristic, complemented
146#19098702C2211yescharacteristic, complemented
147#19098701C2211yescharacteristic, complemented
148#19098696C2211yescharacteristic
149#19098696C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098661C2211yescharacteristic, complemented
152#19098661C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154C4×#11929611C2211yescharacteristic, complemented
155C4×#11929611C2211yescharacteristic, complemented
156C4×#11929611C2211yescharacteristic, complemented
157C4×#11929609C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic, complemented
159#19098641C2211yescharacteristic, complemented
160#19098635C2211yescharacteristic, complemented
161#19098635C2211yescharacteristic, complemented
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164D4×C79⋊C8C2211yescharacteristic, complemented
165D4×C79⋊C8C2211yescharacteristic, complemented
166#19098624C2211yescharacteristic, complemented
167#19098624C2211yescharacteristic, complemented
168#19098567C2211yescharacteristic, complemented
169#19098562C2211yescharacteristic, complemented
170#19098562C2211yescharacteristic, complemented
171#19098562C2211yescharacteristic, complemented
172#19098557C2211yescharacteristic, complemented
173#19098557C2211yescharacteristic, complemented
174#19098557C2211yescharacteristic, complemented
175C2×#14579081C2211yescharacteristic, complemented
176#19098530C2211yescharacteristic
177#19098530C2211yescharacteristic
178#19098527C2211yescharacteristic, complemented
179C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
180#563×C79—21no—
181#562×C79—21no—
182#556×C79C2211yescharacteristic, complemented
183#554×C79—21no—
184#554×C79C2211yescharacteristic, complemented
185#553×C79—21no—
186#553×C79C2211yescharacteristic, complemented
187#552×C79C2211yescharacteristic, complemented
188D4×Q8×C79C2211yescharacteristic, complemented
189#548×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191#547×C79C2211yescharacteristic, complemented
192#542×C79—21no—
193#542×C79C2211yescharacteristic, complemented
194#541×C79C2211yescharacteristic, complemented
195#539×C79—21no—
196#538×C79—21no—
197#538×C79—21no—
198#537×C79C2211yescharacteristic
199#536×C79C2211yescharacteristic
200#525×C79C2211yescharacteristic
201#525×C79C2211yescharacteristic, complemented
202C2×C22⋊Q8×C79C2211yescharacteristic, complemented
203#14579207—42no—
204#14579207—42no—
205C2×#11929625—21no—
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929624C2311yescharacteristic
217C22×Dic158C2311yescharacteristic
218C22×D316C2311yescharacteristic
219C22×D316C2311yescharacteristic
220C22×D316C2311yescharacteristic
221C22×C22⋊D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—21no—
224C2×D4×D79—21no—
225C22×C4×D79—21no—
226#14579192—42no—
227#14579192—42no—
228#14579192—42no—
229#14579186—42no—
230#14579181—42no—
231#14579181—42no—
232#14579181—42no—
233C2×#11929614C2311yescharacteristic
234C2×#11929614C2311yescharacteristic
235C2×#11929614C2311yescharacteristic
236C2×#11929614C2311yescharacteristic
237C2×#11929614C2311yescharacteristic
238C2×#11929614C2311yescharacteristic
239C2×#11929614C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929612C2311yescharacteristic
243C2×#11929612C2311yescharacteristic
244C2×#11929612C2311yescharacteristic
245C2×#11929611—42no—
246C2×#11929611C2311yescharacteristic
247C2×#11929611C2311yescharacteristic
248C2×#11929611C2311yescharacteristic
249C2×#11929611C2311yescharacteristic
250C2×#11929611C2311yescharacteristic
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929611C2311yescharacteristic
254C2×#11929611C2311yescharacteristic
255C2×#11929609C2311yescharacteristic
256C2×#11929609C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929608C2311yescharacteristic
259C2×#11929608C2311yescharacteristic
260C2×#11929608C2311yescharacteristic
261C2×#11929608C2311yescharacteristic
262C22×C79⋊C8C2311yescharacteristic
263C22×C79⋊C8C2311yescharacteristic
264C22×C79⋊C8C2311yescharacteristic
265C22×C79⋊C8C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579159—21no—
269#14579149C2311yescharacteristic
270#14579149C2311yescharacteristic
271#14579148—21no—
272#14579146—21no—
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579145—21no—
277#14579145—21no—
278#14579144—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579142—21no—
288#14579142—21no—
289#14579141—21no—
290#14579141—21no—
291#14579140C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579140C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579140C2311yescharacteristic
296#14579140C2311yescharacteristic
297#14579135C2311yescharacteristic
298#14579135C2311yescharacteristic
299#14579134—21no—
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579132—21no—
304#14579132—21no—
305#14579132—21no—
306#14579132—21no—
307#14579130—21no—
308#14579129—21no—
309#14579129—21no—
310#14579129—21no—
311#14579129—21no—
312C4×D316C2311yescharacteristic
313C4×D316C2311yescharacteristic
314C4×D316C2311yescharacteristic
315C4×D316C2311yescharacteristic
316#14579123—21no—
317#14579123—21no—
318C4×C22⋊D79—21no—
319C4×C22⋊D79—21no—
320#14579120C2311yescharacteristic
321C4⋊C4×D79—21no—
322C4⋊C4×D79—21no—
323C4⋊C4×D79—21no—
324C4⋊C4×D79—21no—
325C22⋊C4×D79—21no—
326C22⋊C4×D79—21no—
327C22⋊C4×D79—21no—
328C22⋊C4×D79—21no—
329C22⋊C4×D79—21no—
330C22⋊C4×D79—21no—
331#14579094C2311yescharacteristic
332#14579094C2311yescharacteristic
333#14579094C2311yescharacteristic
334#14579094C2311yescharacteristic
335#14579092C2311yescharacteristic
336#14579092C2311yescharacteristic
337#14579092C2311yescharacteristic
338#14579092C2311yescharacteristic
339C4⋊(C79⋊C8)C2311yescharacteristic
340C4⋊(C79⋊C8)C2311yescharacteristic
341C4⋊(C79⋊C8)C2311yescharacteristic
342C4⋊(C79⋊C8)C2311yescharacteristic
343#14579085C2311yescharacteristic
344#14579085C2311yescharacteristic
345#14579085C2311yescharacteristic
346#14579085C2311yescharacteristic
347#14579085C2311yescharacteristic
348#14579085C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579084C2311yescharacteristic
351#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579084C2311yescharacteristic
354#14579084C2311yescharacteristic
355#14579084C2311yescharacteristic
356#14579084C2311yescharacteristic
357#14579084C2311yescharacteristic
358#14579084C2311yescharacteristic
359#14579084C2311yescharacteristic
360#14579084C2311yescharacteristic
361#14579082C2311yescharacteristic
362#14579082C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366#14579081C2311yescharacteristic
367#14579081C2311yescharacteristic
368#14579081C2311yescharacteristic
369#14579081C2311yescharacteristic
370#14579081C2311yescharacteristic
371#14579081C2311yescharacteristic
372#14579081C2311yescharacteristic
373#14579081C2311yescharacteristic
374#14579081C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379C22⋊(C79⋊C8)C2311yescharacteristic
380C22⋊(C79⋊C8)C2311yescharacteristic
381C22⋊(C79⋊C8)C2311yescharacteristic
382C22⋊(C79⋊C8)C2311yescharacteristic
383C22⋊(C79⋊C8)C2311yescharacteristic
384C22⋊(C79⋊C8)C2311yescharacteristic
385C22⋊(C79⋊C8)C2311yescharacteristic
386C22⋊(C79⋊C8)C2311yescharacteristic
387#14579072C2311yescharacteristic
388#14579072C2311yescharacteristic
389C4×C79⋊C8C2311yescharacteristic
390C4×C79⋊C8C2311yescharacteristic
391C2×#41×C79C2311yescharacteristic
392C2×#41×C79C2311yescharacteristic
393C2×#41×C79C2311yescharacteristic
394C22×Q8×C79C2311yescharacteristic
395C22×Q8×C79C2311yescharacteristic
396C23×C4×C79C2311yescharacteristic
397C4⋊Q8×C79—21no—
398C4⋊Q8×C79—21no—
399C4⋊Q8×C79C2311yescharacteristic
400C4⋊Q8×C79C2311yescharacteristic
401#126×C79—21no—
402#126×C79—21no—
403#126×C79—21no—
404#126×C79—21no—
405#126×C79—21no—
406#126×C79—21no—
407#126×C79—21no—
408#125×C79—21no—
409#125×C79—21no—
410#125×C79—21no—
411#125×C79—21no—
412#125×C79C2311yescharacteristic
413#124×C79—21no—
414#124×C79—21no—
415#124×C79—21no—
416#124×C79—21no—
417#124×C79—21no—
418#124×C79C2311yescharacteristic
419#123×C79—21no—
420#123×C79—21no—
421#123×C79—21no—
422#123×C79—21no—
423#123×C79—21no—
424#123×C79—21no—
425#123×C79—21no—
426#123×C79—21no—
427#123×C79D411yescharacteristic
428#123×C79D411yescharacteristic
429C22⋊Q8×C79—21no—
430C22⋊Q8×C79—21no—
431C22⋊Q8×C79—21no—
432C22⋊Q8×C79—21no—
433C22⋊Q8×C79—21no—
434C22⋊Q8×C79—21no—
435C22⋊Q8×C79—21no—
436C22⋊Q8×C79—21no—
437C22⋊Q8×C79—21no—
438C22⋊Q8×C79—21no—
439C22⋊Q8×C79D411yescharacteristic
440C22⋊Q8×C79D411yescharacteristic
441C22⋊Q8×C79C2311yescharacteristic
442C22⋊Q8×C79C2311yescharacteristic
443C22⋊Q8×C79C2311yescharacteristic
444C22⋊Q8×C79C2311yescharacteristic
445C22⋊Q8×C79C2311yescharacteristic
446C22⋊Q8×C79C2311yescharacteristic
447C22⋊Q8×C79C2311yescharacteristic
448C22⋊Q8×C79C2311yescharacteristic
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79—21no—
451#121×C79—21no—
452#121×C79—21no—
453#121×C79—21no—
454#121×C79—21no—
455#121×C79—21no—
456#121×C79—21no—
457#121×C79D411yescharacteristic
458#121×C79D411yescharacteristic
459#121×C79C2311yescharacteristic
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#120×C79—21no—
463#120×C79D411yescharacteristic
464#120×C79D411yescharacteristic
465C4×Q8×C79—21no—
466C4×Q8×C79C2311yescharacteristic
467C4×Q8×C79C2311yescharacteristic
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79—21no—
471C4×D4×C79—21no—
472C4×D4×C79—21no—
473C4×D4×C79—21no—
474C4×D4×C79—21no—
475C4×D4×C79—21no—
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479C4×D4×C79C2311yescharacteristic
480C4×D4×C79C2311yescharacteristic
481#117×C79—21no—
482#117×C79C2311yescharacteristic
483#117×C79C2311yescharacteristic
484#117×C79C2311yescharacteristic
485C2×C4⋊C4×C79—21no—
486C2×C4⋊C4×C79—21no—
487C2×C4⋊C4×C79C2311yescharacteristic
488C2×C4⋊C4×C79C2311yescharacteristic
489C2×C22⋊C4×C79—21no—
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493#11929625—44no—
494#11929624—22no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—22no—
499#11929624—22no—
500#11929624—41no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—44no—
509#11929624—44no—
510C2×Dic158—21no—
511C2×Dic158—41no—
512C2×Dic158—41no—
513C2×Dic158C2411yescharacteristic
514C2×Dic158C2411yescharacteristic
515C2×Dic158C2411yescharacteristic
516C2×D316—22no—
517C2×D316—22no—
518C2×D316—22no—
519C2×D316—22no—
520C2×D316—21no—
521C2×D316—21no—
522C2×D316—21no—
523C2×D316—41no—
524C2×D316—41no—
525C2×D316C2411yescharacteristic
526C2×D316C2411yescharacteristic
527C2×D316C2411yescharacteristic
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—44no—
538D4×D79—44no—
539D4×D79—44no—
540D4×D79—44no—
541C22×Dic79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—44no—
554#11929614—41no—
555#11929614—41no—
556#11929614—41no—
557#11929614—41no—
558#11929614—41no—
559#11929614—41no—
560#11929614—41no—
561#11929614—41no—
562#11929614—41no—
563#11929612—41no—
564#11929612—41no—
565#11929612—41no—
566#11929611—22no—
567#11929611—22no—
568#11929611—22no—
569#11929611—22no—
570#11929611—22no—
571#11929611—22no—
572#11929611—41no—
573#11929611—41no—
574#11929611—41no—
575#11929609—22no—
576#11929609—22no—
577#11929609—41no—
578#11929608—41no—
579#11929608—41no—
580#11929608—41no—
581#11929608—41no—
582C2×C79⋊C8—41no—
583C2×C79⋊C8—41no—
584C2×C79⋊C8—41no—
585C2×C79⋊C8—41no—
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C2×C79⋊C8C2411yescharacteristic
589C2×C79⋊C8C2411yescharacteristic
590C2×C79⋊C8C2411yescharacteristic
591C2×C79⋊C8C2411yescharacteristic
592C2×C79⋊C8C2411yescharacteristic
593C2×C79⋊C8C2411yescharacteristic
594C4⋊Dic79—21no—
595C4⋊Dic79—21no—
596C4⋊Dic79—21no—
597C4⋊Dic79—21no—
598C4⋊Dic79C2411yescharacteristic
599C4⋊Dic79C2411yescharacteristic
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623C4×Dic79—21no—
624C24×C79C2×D411yescharacteristic
625#41×C79—41no—
626#41×C79—41no—
627#41×C79—41no—
628#41×C79—41no—
629#41×C79—41no—
630#41×C79—41no—
631C2×Q8×C79—21no—
632C2×Q8×C79—21no—
633C2×Q8×C79—21no—
634C2×Q8×C79—41no—
635C2×Q8×C79—41no—
636C2×Q8×C79—41no—
637C2×Q8×C79—41no—
638C2×Q8×C79C2×D411yescharacteristic
639C2×Q8×C79C2411yescharacteristic
640C2×Q8×C79C2411yescharacteristic
641C2×Q8×C79C2411yescharacteristic
642C2×D4×C79—21no—
643C2×D4×C79—21no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—21no—
647C2×D4×C79C2×D411yescharacteristic
648C2×D4×C79C2×D411yescharacteristic
649C2×D4×C79C2×D411yescharacteristic
650C2×D4×C79C2×D411yescharacteristic
651C2×D4×C79C2×D411yescharacteristic
652C2×D4×C79C2×D411yescharacteristic
653C2×D4×C79C2×D411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79—41no—
663C22×C4×C79—41no—
664C22×C4×C79C2×D411yescharacteristic
665C22×C4×C79C2×D411yescharacteristic
666C22×C4×C79C2×D411yescharacteristic
667C22×C4×C79C2411yescharacteristic
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671C22×C4×C79C2411yescharacteristic
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79C2×D411yescharacteristic
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2×D411yescharacteristic
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2×D411yescharacteristic
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C4⋊C4×C79C2411yescharacteristic
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79—21no—
710C22⋊C4×C79—21no—
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79C2×D411yescharacteristic
719C22⋊C4×C79C2×D411yescharacteristic
720C22⋊C4×C79C2×D411yescharacteristic
721C22⋊C4×C79C2×D411yescharacteristic
722C22⋊C4×C79C2×D411yescharacteristic
723C22⋊C4×C79C2×D411yescharacteristic
724C22⋊C4×C79C2×D411yescharacteristic
725C22⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C42×C79—21no—
729C42×C79—21no—
730C42×C79—21no—
731C42×C79—21no—
732C42×C79—21no—
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C23×C79—21no—
736C23×C79—41no—
737C23×C79—41no—
738C23×C79—41no—
739C23×C79C22×D411yescharacteristic
740C23×C79C22×D411yescharacteristic
741C23×C79C22×D411yescharacteristic
742C23×C79C22×D411yescharacteristic
743C23×C79C22×D411yescharacteristic
744C22×D79—21no—
745C22×D79—21no—
746C22×D79—24no—
747C22×D79—21no—
748C22×D79—42no—
749C22×D79—42no—
750C22×D79—81no—
751C22×D79—81no—
752C22×D79—81no—
753C22×D79—81no—
754C22×D79—81no—
755C22×D79—81no—
756Q8×C79—21no—
757Q8×C79—21no—
758Q8×C79—21no—
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—41no—
763Q8×C79—81no—
764Q8×C79—81no—
765Q8×C79—81no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—41no—
769D4×C79—41no—
770D4×C79—41no—
771D4×C79—41no—
772D4×C79—41no—
773D4×C79—41no—
774D4×C79—41no—
775D4×C79—42no—
776D4×C79—81no—
777D4×C79—81no—
778D4×C79—81no—
779D4×C79—81no—
780C2×C4×C79—21no—
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—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—41no—
798C2×C4×C79—41no—
799C2×C4×C79—41no—
800C2×C4×C79—81no—
801C2×C4×C79—81no—
802C2×C4×C79—81no—
803C2×C4×C79—81no—
804C2×C4×C79—81no—
805C2×C4×C79—81no—
806C2×C4×C79—81no—
807C2×C4×C79C22×D411yescharacteristic
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C22×D411yescharacteristic
811C2×C4×C79C22×D411yescharacteristic
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C2511yescharacteristic
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—42no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—42no—
823C22⋊D79—42no—
824C22⋊D79—81no—
825C22⋊D79—81no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—42no—
832D316—24no—
833D316—21no—
834D316—21no—
835D316—21no—
836D316—21no—
837D316—42no—
838D316—42no—
839D316H(5,𝔽2)12yes—
840D316H(5,𝔽2)12yes—
841C4×D79—42no—
842C4×D79—42no—
843C4×D79—42no—
844C4×D79—42no—
845C4×D79—42no—
846C4×D79—42no—
847C4×D79—42no—
848C4×D79—81no—
849C4×D79—81no—
850C4×D79—81no—
851C4×D79—81no—
852Dic158—21no—
853Dic158—21no—
854Dic158—21no—
855Dic158—21no—
856Dic158—21no—
857Dic158—21no—
858Dic158—42no—
859C79⋊C8—21no—
860C79⋊C8—21no—
861C79⋊C8—21no—
862C79⋊C8—21no—
863C79⋊C8—21no—
864C79⋊C8—21no—
865C79⋊C8—21no—
866C79⋊C8—21no—
867C22×C79—21no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—21no—
872C22×C79—21no—
873C22×C79—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—82no—
886C22×C79C23×D411yescharacteristic
887C2×D79—22no—
888C2×D79—22no—
889C2×D79—41no—
890C2×D79—41no—
891C2×D79—41no—
892C2×D79—41no—
893C2×D79—41no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—84no—
897C2×D79—162no—
898C2×D79—162no—
899C4×C79—21no—
900C4×C79—21no—
901C4×C79—21no—
902C4×C79—21no—
903C4×C79—21no—
904C4×C79—21no—
905C4×C79—21no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—41no—
909C4×C79—41no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79—41no—
915C4×C79C2×H(5,𝔽2)11yescharacteristic
916C4×C79C2×H(5,𝔽2)11yescharacteristic
917Dic79—41no—
918Dic79—41no—
919Dic79—41no—
920Dic79—41no—
921Dic79—41no—
922#61613—791nomaximal, Sylow
923C2×C79—41no—
924C2×C79—41no—
925C2×C79—41no—
926C2×C79—41no—
927C2×C79—41no—
928C2×C79—81no—
929C2×C79#348411yescharacteristic
930C2×C79#358411yescharacteristic
931C2×C79#358611yescharacteristic
932D79—42no—
933D79—42no—
934D79—81no—
935#3541D7911yescharacteristic, complemented
936#3485—791no—
937#3331—791no—
938#3322—791no—
939#3315—791no—
940#3314—791no—
941#3311—791no—
942#3307—791no—
943#3302—791no—
944#3296—791no—
945#3283—791no—
946#3282—791no—
947#3276—791no—
948#3275—791no—
949#3269—791no—
950#3269—791no—
951#3267—791no—
952#3266—791no—
953#3225—791no—
954#3223—791no—
955#3202—791no—
956#3201—791no—
957#3197—791no—
958#3190—791no—
959#3123—791no—
960#3118—791no—
961#3012—791no—
962#3009—791no—
963#3007—791no—
964#3002—791no—
965#2976—791no—
966C79#6161311yescharacteristic, complemented, Sylow
967C2×H(5,𝔽2)—791no—
968C22×#41—791no—
969C2×#137—791no—
970C2×#137—791no—
971C2×#137—791no—
972C2×AGL(1,ℤ/8)—791no—
973C2×#135—791no—
974C2×#135—791no—
975C2×#135—791no—
976C22×SD16—791no—
977#563—21no—
978#562—21no—
979#556C2×D7911yescharacteristic, complemented
980#554—21no—
981#554C2×D7911yescharacteristic, complemented
982#553—21no—
983#553C2×D7911yescharacteristic, complemented
984#552C2×D7911yescharacteristic, complemented
985D4×Q8C2×D7911yescharacteristic, complemented
986#548C2×D7911yescharacteristic, complemented
987#548C2×D7911yescharacteristic, complemented
988#547—791no—
989#547—791no—
990#547—791no—
991#547—791no—
992#547—1581no—
993#547—1581no—
994#547C2×D7911yescharacteristic, complemented
995#546—791no—
996#546—791no—
997#546—791no—
998#546—791no—
999#546—1581no—
1000#546—1581no—
1001#542—21no—
1002#542C2×D7911yescharacteristic, complemented
1003#541C2×D7911yescharacteristic, complemented
1004#539—21no—
1005#538—21no—
1006#538—21no—
1007#537C2×D7911yescharacteristic
1008#536—791no—
1009#536—791no—
1010#536C2×D7911yescharacteristic
1011#534—1581no—
1012#534—1581no—
1013#525—791no—
1014#525C2×D7911yescharacteristic
1015#525C2×D7911yescharacteristic, complemented
1016C2×#123—1581no—
1017C2×#123—1581no—
1018C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1019#518—791no—
1020#497—791no—
1021#497—791no—
1022#495—791no—
1023#494—791no—
1024#491—791no—
1025#489—791no—
1026#488—791no—
1027#487—791no—
1028#485—791no—
1029#485—791no—
1030#485—791no—
1031#485—791no—
1032#485—791no—
1033#485—791no—
1034#484—791no—
1035#483—791no—
1036#483—791no—
1037#482—791no—
1038#482—791no—
1039#480—791no—
1040#478—791no—
1041#478—791no—
1042#476—791no—
1043#474—791no—
1044#470—791no—
1045#470—791no—
1046#470—791no—
1047#470—791no—
1048#469—791no—
1049#468—791no—
1050#468—791no—
1051#468—791no—
1052#467—791no—
1053#467—791no—
1054#467—791no—
1055#467—791no—
1056#467—791no—
1057#465—791no—
1058#465—791no—
1059#465—791no—
1060#464—791no—
1061#464—791no—
1062#464—791no—
1063#463—791no—
1064#463—791no—
1065#463—791no—
1066#462—791no—
1067#462—791no—
1068#462—791no—
1069#461—791no—
1070#461—791no—
1071#461—791no—
1072#452—791no—
1073#452—791no—
1074#452—791no—
1075#452—791no—
1076#452—791no—
1077#452—791no—
1078#452—791no—
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#451—791no—
1088#451—791no—
1089#451—791no—
1090#451—791no—
1091#451—791no—
1092#451—791no—
1093#450—791no—
1094#450—791no—
1095#450—791no—
1096#450—791no—
1097#450—791no—
1098#450—791no—
1099#449—791no—
1100#449—791no—
1101#449—791no—
1102#449—791no—
1103#449—791no—
1104#448—791no—
1105#448—791no—
1106#447—791no—
1107#447—791no—
1108#442—791no—
1109#440—791no—
1110#440—791no—
1111#440—791no—
1112C4×SD16—791no—
1113C4×SD16—791no—
1114C4×SD16—791no—
1115C4×D8—791no—
1116#436—791no—
1117#436—791no—
1118#435—791no—
1119#435—791no—
1120#435—791no—
1121#435—791no—
1122C8×D4—791no—
1123C8×D4—791no—
1124#433—791no—
1125#433—791no—
1126#418—791no—
1127#417—791no—
1128#417—791no—
1129#417—791no—
1130#416—791no—
1131#416—791no—
1132#416—791no—
1133C2×#102—791no—
1134#408—791no—
1135#408—791no—
1136#407—791no—
1137C2×C22⋊C8—791no—
1138H(5,𝔽2)—3162no—
1139H(5,𝔽2)—3162no—
1140C2×#41—3162no—
1141C2×#41—3162no—
1142C2×#41—791no—
1143C2×#41—791no—
1144C2×#41—791no—
1145C2×#41—791no—
1146C2×#41—791no—
1147C2×#41—791no—
1148C2×#41—791no—
1149C2×#41—1581no—
1150C2×#41—1581no—
1151C2×#41—1581no—
1152C2×#41C22×D7911yescharacteristic
1153C2×#41C22×D7911yescharacteristic
1154C2×#41C22×D7911yescharacteristic
1155C22×Q8—791no—
1156C22×Q8C22×D7911yescharacteristic
1157C22×Q8C22×D7911yescharacteristic
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—1581no—
1162C22×D4—1581no—
1163C22×D4—1581no—
1164C22×D4—1581no—
1165C23×C4—1581no—
1166C23×C4C22×D7911yescharacteristic
1167#137—3162no—
1168#137—3162no—
1169#137—3162no—
1170AGL(1,ℤ/8)—3162no—
1171#135—3162no—
1172#135—3162no—
1173#135—3162no—
1174C2×Q16—791no—
1175C2×Q16—791no—
1176C2×Q16—791no—
1177C2×Q16—791no—
1178C2×Q16—791no—
1179C2×Q16—791no—
1180C2×Q16—791no—
1181C2×Q16—791no—
1182C2×Q16—791no—
1183C2×SD16—3162no—
1184C2×SD16—791no—
1185C2×SD16—791no—
1186C2×SD16—791no—
1187C2×SD16—791no—
1188C2×SD16—791no—
1189C2×SD16—791no—
1190C2×SD16—791no—
1191C2×SD16—791no—
1192C2×SD16—791no—
1193C2×SD16—791no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×D8—791no—
1197C2×D8—791no—
1198C2×D8—791no—
1199C2×M16—791no—
1200C2×M16—791no—
1201C2×M16—791no—
1202C2×M16—791no—
1203C22×C8—791no—
1204C22×C8—791no—
1205C22×C8—791no—
1206C22×C8—791no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—791no—
1210C4⋊Q8—791no—
1211C4⋊Q8—1581no—
1212C4⋊Q8C22×D7911yescharacteristic
1213C4⋊Q8C22×D7911yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#125—21no—
1222#125—21no—
1223#125—21no—
1224#125—21no—
1225#125C22×D7911yescharacteristic
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—791no—
1232#124—791no—
1233#124—1581no—
1234#124C22×D7911yescharacteristic
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
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—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260#123C22⋊D7911yescharacteristic
1261#123C22⋊D7911yescharacteristic
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8C22⋊D7911yescharacteristic
1281C22⋊Q8C22⋊D7911yescharacteristic
1282C22⋊Q8C22×D7911yescharacteristic
1283C22⋊Q8C22×D7911yescharacteristic
1284C22⋊Q8C22×D7911yescharacteristic
1285C22⋊Q8C22×D7911yescharacteristic
1286C22⋊Q8C22×D7911yescharacteristic
1287C22⋊Q8C22×D7911yescharacteristic
1288C22⋊Q8C22×D7911yescharacteristic
1289C22⋊Q8C22×D7911yescharacteristic
1290C22⋊Q8C22×D7911yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—791no—
1299#121—791no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121C22⋊D7911yescharacteristic
1309#121C22⋊D7911yescharacteristic
1310#121C22×D7911yescharacteristic
1311#121C22×D7911yescharacteristic
1312#121C22×D7911yescharacteristic
1313#120—21no—
1314#120—1581no—
1315#120—1581no—
1316#120—1581no—
1317#120—1581no—
1318#120—1581no—
1319#120C22⋊D7911yescharacteristic
1320#120C22⋊D7911yescharacteristic
1321C4×Q8—21no—
1322C4×Q8C22×D7911yescharacteristic
1323C4×Q8C22×D7911yescharacteristic
1324C4×Q8C22×D7911yescharacteristic
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—791no—
1333C4×D4—791no—
1334C4×D4—791no—
1335C4×D4—791no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4C22×D7911yescharacteristic
1341C4×D4C22×D7911yescharacteristic
1342C4×D4C22×D7911yescharacteristic
1343C4×D4C22×D7911yescharacteristic
1344C4×D4C22×D7911yescharacteristic
1345#117—21no—
1346#117—791no—
1347#117C22×D7911yescharacteristic
1348#117C22×D7911yescharacteristic
1349#117C22×D7911yescharacteristic
1350C2×C4⋊C4—21no—
1351C2×C4⋊C4—21no—
1352C2×C4⋊C4—1581no—
1353C2×C4⋊C4—1581no—
1354C2×C4⋊C4—1581no—
1355C2×C4⋊C4—1581no—
1356C2×C4⋊C4C22×D7911yescharacteristic
1357C2×C4⋊C4C22×D7911yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—1581no—
1360C2×C22⋊C4—1581no—
1361C2×C22⋊C4—1581no—
1362C2×C22⋊C4—1581no—
1363C2×C22⋊C4—1581no—
1364C2×C22⋊C4—1581no—
1365#107—791no—
1366#107—791no—
1367#107—791no—
1368#107—791no—
1369#106—791no—
1370#106—791no—
1371#106—791no—
1372#106—791no—
1373C4⋊C8—791no—
1374C4⋊C8—791no—
1375C4⋊C8—791no—
1376C4⋊C8—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#103—791no—
1385#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#102—791no—
1396#102—791no—
1397#102—791no—
1398#102—791no—
1399#102—791no—
1400#102—791no—
1401#102—791no—
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409C22⋊C8—791no—
1410C22⋊C8—791no—
1411C22⋊C8—791no—
1412C22⋊C8—791no—
1413C22⋊C8—791no—
1414C22⋊C8—791no—
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421#97—791no—
1422#97—791no—
1423C4×C8—791no—
1424C4×C8—791no—
1425C24—1581no—
1426C24—1581no—
1427C24—1581no—
1428C24C2×C22⋊D7911yescharacteristic
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—3161no—
1436#41—3161no—
1437#41—3161no—
1438#41—3161no—
1439#41—3161no—
1440#41—3161no—
1441#41—3161no—
1442#41—3161no—
1443#41—3164no—
1444#41—3164no—
1445#41—3164no—
1446#41—1582no—
1447#41—1582no—
1448#41—1582no—
1449#41—1582no—
1450#41—1582no—
1451#41—1582no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—3161no—
1460C2×Q8—3161no—
1461C2×Q8—791no—
1462C2×Q8—791no—
1463C2×Q8—791no—
1464C2×Q8—1581no—
1465C2×Q8C2×C22⋊D7911yescharacteristic
1466C2×Q8C23×D7911yescharacteristic
1467C2×Q8C23×D7911yescharacteristic
1468C2×Q8C23×D7911yescharacteristic
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—3161no—
1475C2×D4—3161no—
1476C2×D4—3164no—
1477C2×D4—3164no—
1478C2×D4—3164no—
1479C2×D4—3164no—
1480C2×D4—791no—
1481C2×D4—791no—
1482C2×D4—791no—
1483C2×D4—1582no—
1484C2×D4—1582no—
1485C2×D4—1582no—
1486C2×D4—1582no—
1487C2×D4—1581no—
1488C2×D4—1581no—
1489C2×D4—1581no—
1490C2×D4—1581no—
1491C2×D4—1581no—
1492C2×D4—1581no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4C2×C22⋊D7911yescharacteristic
1500C2×D4C2×C22⋊D7911yescharacteristic
1501C2×D4C2×C22⋊D7911yescharacteristic
1502C2×D4C2×C22⋊D7911yescharacteristic
1503C2×D4C2×C22⋊D7911yescharacteristic
1504C2×D4C2×C22⋊D7911yescharacteristic
1505C2×D4C2×C22⋊D7911yescharacteristic
1506C2×D4C23×D7911yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—3164no—
1517C22×C4—1581no—
1518C22×C4—1581no—
1519C22×C4—1581no—
1520C22×C4—1581no—
1521C22×C4—1581no—
1522C22×C4—1581no—
1523C22×C4—1581no—
1524C22×C4—1581no—
1525C22×C4—1581no—
1526C22×C4—1581no—
1527C22×C4—1581no—
1528C22×C4—1581no—
1529C22×C4C2×C22⋊D7911yescharacteristic
1530C22×C4C2×C22⋊D7911yescharacteristic
1531C22×C4C2×C22⋊D7911yescharacteristic
1532C22×C4C23×D7911yescharacteristic
1533C22×C4C23×D7911yescharacteristic
1534C22×C4C23×D7911yescharacteristic
1535C22×C4C23×D7911yescharacteristic
1536C22×C4C23×D7911yescharacteristic
1537Q16—3161no—
1538Q16—3161no—
1539Q16—3161no—
1540Q16—3161no—
1541Q16—3161no—
1542Q16—3161no—
1543Q16—3161no—
1544Q16—3161no—
1545Q16—3161no—
1546SD16—3161no—
1547SD16—3161no—
1548SD16—3161no—
1549SD16—3161no—
1550SD16—3161no—
1551SD16—3161no—
1552SD16—1582no—
1553SD16—1582no—
1554SD16—1582no—
1555SD16—1582no—
1556SD16—1582no—
1557SD16—1582no—
1558D8—3161no—
1559D8—1582no—
1560D8—1582no—
1561M16—3161no—
1562M16—3161no—
1563M16—3161no—
1564M16—3161no—
1565C2×C8—3161no—
1566C2×C8—3161no—
1567C2×C8—3161no—
1568C2×C8—3161no—
1569C2×C8—791no—
1570C2×C8—791no—
1571C2×C8—791no—
1572C2×C8—791no—
1573C2×C8—791no—
1574C2×C8—791no—
1575C2×C8—791no—
1576C2×C8—791no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—791no—
1597C4⋊C4—791no—
1598C4⋊C4—1581no—
1599C4⋊C4—1581no—
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⋊C4C2×C22⋊D7911yescharacteristic
1609C4⋊C4C2×C22⋊D7911yescharacteristic
1610C4⋊C4C2×C22⋊D7911yescharacteristic
1611C4⋊C4C2×C22⋊D7911yescharacteristic
1612C4⋊C4C2×C22⋊D7911yescharacteristic
1613C4⋊C4C2×C22⋊D7911yescharacteristic
1614C4⋊C4C23×D7911yescharacteristic
1615C4⋊C4C23×D7911yescharacteristic
1616C4⋊C4C23×D7911yescharacteristic
1617C4⋊C4C23×D7911yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—1581no—
1636C22⋊C4—1581no—
1637C22⋊C4—1581no—
1638C22⋊C4—1581no—
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4C2×C22⋊D7911yescharacteristic
1653C22⋊C4C2×C22⋊D7911yescharacteristic
1654C22⋊C4C2×C22⋊D7911yescharacteristic
1655C22⋊C4C2×C22⋊D7911yescharacteristic
1656C22⋊C4C2×C22⋊D7911yescharacteristic
1657C22⋊C4C2×C22⋊D7911yescharacteristic
1658C22⋊C4C2×C22⋊D7911yescharacteristic
1659C22⋊C4C2×C22⋊D7911yescharacteristic
1660C22⋊C4C2×C22⋊D7911yescharacteristic
1661C22⋊C4C2×C22⋊D7911yescharacteristic
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42—1581no—
1668C42C23×D7911yescharacteristic
1669C42C23×D7911yescharacteristic
1670C23—21no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—3162no—
1675C23—3162no—
1676C23—6321no—
1677C23—6321no—
1678C23—6321no—
1679C23—6321no—
1680C23—6321no—
1681C23—6321no—
1682C23—1584no—
1683C23—1581no—
1684C23—1581no—
1685C23—1581no—
1686C23C22×C22⋊D7911yescharacteristic
1687C23C22×C22⋊D7911yescharacteristic
1688C23C22×C22⋊D7911yescharacteristic
1689C23C22×C22⋊D7911yescharacteristic
1690C23C22×C22⋊D7911yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—41no—
1698Q8—81no—
1699Q8—81no—
1700Q8—81no—
1701Q8—3162no—
1702Q8—1581no—
1703Q8—1581no—
1704Q8—1581no—
1705Q8—1581no—
1706Q8—1581no—
1707Q8—1581no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—3162no—
1723D4—3162no—
1724D4—3162no—
1725D4—3162no—
1726D4—3162no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3162no—
1731D4—792no—
1732D4—792no—
1733D4—6321no—
1734D4—6321no—
1735D4—1584no—
1736D4—1581no—
1737D4—1581no—
1738D4—1581no—
1739D4—1581no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
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—6321no—
1776C2×C4—6321no—
1777C2×C4—6321no—
1778C2×C4—6321no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4C22×C22⋊D7911yescharacteristic
1785C2×C4C22×C22⋊D7911yescharacteristic
1786C2×C4C22×C22⋊D7911yescharacteristic
1787C2×C4C22×C22⋊D7911yescharacteristic
1788C2×C4C22×C22⋊D7911yescharacteristic
1789C2×C4C22×C22⋊D7911yescharacteristic
1790C2×C4C22×C22⋊D7911yescharacteristic
1791C2×C4C22×C22⋊D7911yescharacteristic
1792C2×C4C22×C22⋊D7911yescharacteristic
1793C2×C4C24×D7911yescharacteristic
1794C8—1581no—
1795C8—1581no—
1796C8—1581no—
1797C8—1581no—
1798C8—1581no—
1799C8—1581no—
1800C8—1581no—
1801C8—1581no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—82no—
1821C22—3161no—
1822C22—3161no—
1823C22—3161no—
1824C22—3161no—
1825C22—3161no—
1826C22—3161no—
1827C22—3161no—
1828C22—6324no—
1829C22—1582no—
1830C22—1582no—
1831C22—12642no—
1832C22—12642no—
1833C22C23×C22⋊D7911yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—3161no—
1851C4—3161no—
1852C4—3161no—
1853C4—3161no—
1854C4—3161no—
1855C4H(5,𝔽2)×D7911yescharacteristic
1856C4H(5,𝔽2)×D7911yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—41no—
1861C2—41no—
1862C2—81no—
1863C2—3162no—
1864C2—3162no—
1865C2—6321no—
1866C2#2377703111yescharacteristic
1867C2#2377817111yescharacteristic
1868C2#2377818711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3541C2
socleC22×C79C23×D4
hypercenter#3541D79
hypocenterC79#61613
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. #23777042C2semidirect
2. #23775710C2semidirect
3. #23775595C2semidirect
4. #23775490C2semidirect
5. #23775475C2semidirect
6. #23775430C2semidirect
7. #23775370C2semidirect
8. #23775311C2semidirect
9. #23775229C2semidirect
10. #23775118C2semidirect
11. #23775108C2semidirect
12. #23775046C2semidirect
13. #23775032C2semidirect
14. #23774956C2semidirect
15. #23774956C2semidirect
16. #23774926C2semidirect
17. #23774911C2semidirect
18. #23774503C2semidirect
19. #23774477C2semidirect
20. #23774291C2semidirect
21. #23774276C2semidirect
22. #23774237C2semidirect
23. #23774181C2semidirect
24. #23773647C2semidirect
25. #23773578C2semidirect
26. #23772701C2semidirect
27. #23772675C2semidirect
28. #23772658C2semidirect
29. #23772616C2semidirect
30. #23772448C2semidirect
31. C79×#3541C2semidirect
34. C2×#14579192C22semidirect
35. C2×#14579192C22semidirect
36. C2×#14579192C22semidirect
37. C2×#14579186C22semidirect
38. C2×#14579181C22semidirect
39. C2×#14579181C22semidirect
40. C2×#14579181C22semidirect
41. C22×#11929611C22semidirect
62. #19098958C22semidirect
63. #19098955C22semidirect
64. #19098945C22semidirect
65. #19098942C22semidirect
66. #19098933C22semidirect
67. #19098925C22semidirect
68. #19098920C22semidirect
69. #19098915C22semidirect
70. #19098904C22semidirect
71. #19098904C22semidirect
72. #19098904C22semidirect
73. #19098901C22semidirect
74. #19098901C22semidirect
75. #19098901C22semidirect
76. #19098898C22semidirect
77. #19098893C22semidirect
78. #19098893C22semidirect
79. #19098887C22semidirect
80. #19098884C22semidirect
81. #19098876C22semidirect
82. #19098860C22semidirect
83. #19098860C22semidirect
84. #19098850C22semidirect
85. #19098840C22semidirect
86. #19098819C22semidirect
87. #19098819C22semidirect
88. #19098819C22semidirect
89. #19098819C22semidirect
90. #19098814C22semidirect
91. #19098811C22semidirect
92. #19098807C22semidirect
93. #19098807C22semidirect
94. #19098802C22semidirect
95. #19098802C22semidirect
96. #19098802C22semidirect
97. #19098802C22semidirect
98. #19098802C22semidirect
99. #19098794C22semidirect
100. #19098794C22semidirect
101. #19098790C22semidirect
102. #19098785C22semidirect
103. #19098785C22semidirect
104. #19098785C22semidirect
105. #19098778C22semidirect
106. #19098775C22semidirect
107. #19098775C22semidirect
108. #19098773C22semidirect
109. #19098773C22semidirect
110. #19098773C22semidirect
111. #19098768C22semidirect
112. #19098765C22semidirect
113. #19098765C22semidirect
114. #19098725C22semidirect
115. #19098725C22semidirect
116. #19098725C22semidirect
120. #19098723C22semidirect
121. #19098723C22semidirect
122. #19098723C22semidirect
123. #19098723C22semidirect
124. #19098723C22semidirect
125. #19098723C22semidirect
126. #19098723C22semidirect
127. #19098723C22semidirect
128. #19098723C22semidirect
129. #19098719C22semidirect
130. #19098719C22semidirect
131. #19098719C22semidirect
132. #19098718C22semidirect
133. #19098718C22semidirect
134. #19098718C22semidirect
138. #19098713C22semidirect
139. #19098713C22semidirect
140. #19098713C22semidirect
141. #19098708C22semidirect
143. #19098706C22semidirect
144. #19098706C22semidirect
145. #19098706C22semidirect
146. #19098702C22semidirect
147. #19098701C22semidirect
149. #19098696C22semidirect
150. #19098673C22semidirect
151. #19098661C22semidirect
152. #19098661C22semidirect
153. #19098661C22semidirect
154. C4×#11929611C22semidirect
155. C4×#11929611C22semidirect
156. C4×#11929611C22semidirect
157. C4×#11929609C22semidirect
158. #19098641C22semidirect
159. #19098641C22semidirect
160. #19098635C22semidirect
161. #19098635C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. D4×C79⋊C8C22semidirect
165. D4×C79⋊C8C22semidirect
166. #19098624C22semidirect
167. #19098624C22semidirect
168. #19098567C22semidirect
169. #19098562C22semidirect
170. #19098562C22semidirect
171. #19098562C22semidirect
172. #19098557C22semidirect
173. #19098557C22semidirect
174. #19098557C22semidirect
175. C2×#14579081C22semidirect
178. #19098527C22semidirect
179. C2×C22⋊(C79⋊C8)C22semidirect
182. #556×C79C22semidirect
184. #554×C79C22semidirect
186. #553×C79C22semidirect
187. #552×C79C22semidirect
188. D4×Q8×C79C22semidirect
189. #548×C79C22semidirect
190. #548×C79C22semidirect
191. #547×C79C22semidirect
193. #542×C79C22semidirect
194. #541×C79C22semidirect
201. #525×C79C22semidirect
202. C2×C22⋊Q8×C79C22semidirect
935. #3541D79semidirect
966. C79#61613semidirect
979. #556C2×D79semidirect
981. #554C2×D79semidirect
983. #553C2×D79semidirect
984. #552C2×D79semidirect
985. D4×Q8C2×D79semidirect
986. #548C2×D79semidirect
987. #548C2×D79semidirect
994. #547C2×D79semidirect
1002. #542C2×D79semidirect
1003. #541C2×D79semidirect
1015. #525C2×D79semidirect
1018. C2×C22⋊Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237770422
#237757102
#237755952
#237754902
#237754752
#237754302
#237753702
#237753112
#237752292
#237751182
#237751082
#237750462
#237750322
#237749562
#237749262
#237749112
#237745032
#237744772
#237742912
#237742762
#237742372
#237741812
#237736472
#237735782
#237727012
#237726752
#237726582
#237726162
#237724482
C79×#35412
#6161379