Finite Group Databasebeta

← #28329080

Subgroups — #28329080

Order 13568.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20291262C211yesmaximal, characteristic
2#20291261C211yesmaximal, characteristic, complemented
3#20291260C211yesmaximal, characteristic, complemented
4#20291257C211yesmaximal, characteristic
5#20291252C211yesmaximal, characteristic
6#20291252C211yesmaximal, characteristic
7#20291252C211yesmaximal, characteristic
8#20291250C211yesmaximal, characteristic, complemented
9#20291249C211yesmaximal, characteristic, complemented
10#20291249C211yesmaximal, characteristic, complemented
11#20291248C211yesmaximal, characteristic, complemented
12#20291247C211yesmaximal, characteristic
13#20291235C211yesmaximal, characteristic, complemented
14#20291234C211yesmaximal, characteristic, complemented
15#20291226C211yesmaximal, characteristic
16#20291222C211yesmaximal, characteristic
17#20291215C211yesmaximal, characteristic, complemented
18#20291215C211yesmaximal, characteristic, complemented
19#20291215C211yesmaximal, characteristic, complemented
20#20291215C211yesmaximal, characteristic, complemented
21#20291213C211yesmaximal, characteristic
22#20291213C211yesmaximal, characteristic
23#20291213C211yesmaximal, characteristic
24#20291211C211yesmaximal, characteristic
25#20291209C211yesmaximal, characteristic, complemented
26#20291208C211yesmaximal, characteristic
27#20291199C211yesmaximal, characteristic, complemented
28#125×#6157C211yesmaximal, characteristic, complemented
29#126×#6157C211yesmaximal, characteristic
30#20291174C211yesmaximal, characteristic, complemented
31#541×D53C211yesmaximal, characteristic
32(C2×#6157)⋊Q8C2211yescharacteristic
33(C2×#6157)⋊Q8C2211yescharacteristic
34(C2×#6157)⋊Q8C2211yescharacteristic
35(C2×#6157)⋊Q8C2211yescharacteristic
36(C2×#6157)⋊Q8C2211yescharacteristic
37(C2×#6157)⋊Q8C2211yescharacteristic
38(C2×#6157)⋊Q8C2211yescharacteristic
39(C2×#6157)⋊Q8C2211yescharacteristic
40#16811574C2211yescharacteristic
41#16811574C2211yescharacteristic
42#16811574C2211yescharacteristic
43#16811574C2211yescharacteristic
44#16811574C2211yescharacteristic
45#16811574C2211yescharacteristic
46#16811574C2211yescharacteristic
47#16811574C2211yescharacteristic
48#16811574C2211yescharacteristic
49#16811574C2211yescharacteristic
50#16811574C2211yescharacteristic
51#16811574C2211yescharacteristic
52#16811574C2211yescharacteristic
53#16811574C2211yescharacteristic
54#16811574C2211yescharacteristic
55#16811574C2211yescharacteristic
56#16811574C2211yescharacteristic
57#16811574C2211yescharacteristic
58#16811573C2211yescharacteristic
59#16811573C2211yescharacteristic
60#16811573C2211yescharacteristic
61#16811573C2211yescharacteristic
62#16811573C2211yescharacteristic
63#16811573C2211yescharacteristic
64#16811573C2211yescharacteristic
65#16811573C2211yescharacteristic
66#16811573C2211yescharacteristic
67#16811573C2211yescharacteristic
68#16811573C2211yescharacteristic
69#16811573C2211yescharacteristic
70#16811572C2211yescharacteristic
71#16811572C2211yescharacteristic
72#16811572C2211yescharacteristic
73#16811572C2211yescharacteristic
74#16811572C2211yescharacteristic
75#16811572C2211yescharacteristic
76#16811572C2211yescharacteristic
77#16811572C2211yescharacteristic
78#16811572C2211yescharacteristic
79#16811572C2211yescharacteristic
80#16811572C2211yescharacteristic
81#16811572C2211yescharacteristic
82#16811572C2211yescharacteristic
83#16811572C2211yescharacteristic
84#16811572C2211yescharacteristic
85#16811572C2211yescharacteristic
86#16811572C2211yescharacteristic
87#16811572C2211yescharacteristic
88#16811572C2211yescharacteristic
89#16811572C2211yescharacteristic
90#16811572C2211yescharacteristic
91#16811572C2211yescharacteristic
92#16811572C2211yescharacteristic
93#16811572C2211yescharacteristic
94#16811572C2211yescharacteristic
95#16811572C2211yescharacteristic
96#16811572C2211yescharacteristic
97#16811572C2211yescharacteristic
98#16811572C2211yescharacteristic
99#16811572C2211yescharacteristic
100#16811572C2211yescharacteristic
101#16811572C2211yescharacteristic
102#16811572C2211yescharacteristic
103#16811572C2211yescharacteristic
104#16811572C2211yescharacteristic
105#16811572C2211yescharacteristic
106#16811572C2211yescharacteristic
107#16811572C2211yescharacteristic
108#16811572C2211yescharacteristic
109#16811572C2211yescharacteristic
110#16811572C2211yescharacteristic
111#16811572C2211yescharacteristic
112#16811572C2211yescharacteristic
113#16811572C2211yescharacteristic
114#16811570C2211yescharacteristic
115#16811570C2211yescharacteristic
116#16811570C2211yescharacteristic
117#16811570C2211yescharacteristic
118#16811570C2211yescharacteristic
119#16811570C2211yescharacteristic
120#16811569C2211yescharacteristic
121#16811568C2211yescharacteristic
122#16811568C2211yescharacteristic
123#16811568C2211yescharacteristic
124#16811568C2211yescharacteristic
125#16811568C2211yescharacteristic
126#16811567C2211yescharacteristic
127#16811567C2211yescharacteristic
128#16811567C2211yescharacteristic
129#16811567C2211yescharacteristic
130#16811566C2211yescharacteristic
131#16811565C2211yescharacteristic
132C4⋊C4×#6157C2211yescharacteristic
133C4⋊C4×#6157C2211yescharacteristic
134C4⋊C4×#6157C2211yescharacteristic
135C4⋊C4×#6157C2211yescharacteristic
136C4⋊C4×#6157C2211yescharacteristic
137C4⋊C4×#6157C2211yescharacteristic
138C4⋊C4×#6157C2211yescharacteristic
139C4⋊C4×#6157C2211yescharacteristic
140C4⋊C4×#6157C2211yescharacteristic
141C4⋊C4×#6157C2211yescharacteristic
142C4⋊C4×#6157C2211yescharacteristic
143C4⋊C4×#6157C2211yescharacteristic
144C4⋊C4×#6157C2211yescharacteristic
145C4⋊C4×#6157C2211yescharacteristic
146C4⋊C4×#6157C2211yescharacteristic
147C4⋊C4×#6157C2211yescharacteristic
148C4⋊C4×#6157C2211yescharacteristic
149C4⋊C4×#6157C2211yescharacteristic
150C4×C4⋊#6157C2211yescharacteristic
151C4×C4⋊#6157C2211yescharacteristic
152C4×C4⋊#6157C2211yescharacteristic
153C4×C4⋊#6157C2211yescharacteristic
154C4×C4⋊#6157C2211yescharacteristic
155C4×C4⋊#6157C2211yescharacteristic
156C4×C4⋊#6157C2211yescharacteristic
157C4×C4⋊#6157C2211yescharacteristic
158C4×C4⋊#6157C2211yescharacteristic
159C22⋊C4×#6157C2211yescharacteristic
160C22⋊C4×#6157C2211yescharacteristic
161C22⋊C4×#6157C2211yescharacteristic
162C22⋊C4×#6157C2211yescharacteristic
163C22⋊C4×#6157C2211yescharacteristic
164C22⋊C4×#6157C2211yescharacteristic
165C4×C22⋊#6157C2211yescharacteristic
166#16811559C2211yescharacteristic
167#16811559C2211yescharacteristic
168#16811559C2211yescharacteristic
169#16811559C2211yescharacteristic
170C2×(C2×#6157)⋊C4C2211yescharacteristic
171C42×#6157C2211yescharacteristic
172#16811236C411yescharacteristic, complemented
173#16811235C411yescharacteristic, complemented
174#16811234C411yescharacteristic, complemented
175#16811233C411yescharacteristic, complemented
176#16811233C411yescharacteristic, complemented
177#16811232C411yescharacteristic, complemented
178#16811232C411yescharacteristic, complemented
179#16811232C411yescharacteristic, complemented
180#16811232C411yescharacteristic, complemented
181#16811231C411yescharacteristic, complemented
182#16811231C411yescharacteristic, complemented
183#16811230C411yescharacteristic, complemented
184#16811230C411yescharacteristic, complemented
185#16811230C411yescharacteristic, complemented
186#16811230C411yescharacteristic, complemented
187C4⋊Q8×D53C2211yescharacteristic
188#126×D53C2211yescharacteristic
189#126×D53C2211yescharacteristic
190#126×D53C2211yescharacteristic
191#126×D53C2211yescharacteristic
192#125×D53C2211yescharacteristic
193#125×D53C2211yescharacteristic
194#125×D53C2211yescharacteristic
195#125×D53C2211yescharacteristic
196#125×D53C2211yescharacteristic
197C22⋊Q8×D53C2211yescharacteristic
198C22⋊Q8×D53C2211yescharacteristic
199C4×Q8×D53C2211yescharacteristic
200C4×Q8×D53C2211yescharacteristic
201#117×D53C2211yescharacteristic
202C53×#541C411yescharacteristic, complemented
203C23×#6157C2311yescharacteristic
204C23×#6157C2311yescharacteristic
205C2×C4⋊#6157C2311yescharacteristic
206C2×C4⋊#6157C2311yescharacteristic
207C2×C4⋊#6157C2311yescharacteristic
208C2×C4⋊#6157C2311yescharacteristic
209C2×C4⋊#6157C2311yescharacteristic
210C2×C4⋊#6157C2311yescharacteristic
211C2×C4⋊#6157C2311yescharacteristic
212C2×C4⋊#6157C2311yescharacteristic
213C2×C4⋊#6157C2311yescharacteristic
214C2×C4⋊#6157C2311yescharacteristic
215C2×C4⋊#6157C2311yescharacteristic
216C2×C4⋊#6157C2311yescharacteristic
217C2×C4⋊#6157C2311yescharacteristic
218C2×C4⋊#6157C2311yescharacteristic
219C2×C4⋊#6157C2311yescharacteristic
220C2×C4⋊#6157C2311yescharacteristic
221C2×C4⋊#6157C2311yescharacteristic
222C2×C4⋊#6157C2311yescharacteristic
223C2×C4⋊#6157C2311yescharacteristic
224C2×C4⋊#6157C2311yescharacteristic
225C2×C4⋊#6157C2311yescharacteristic
226C2×C4⋊#6157C2311yescharacteristic
227C2×C4⋊#6157C2311yescharacteristic
228C2×C4⋊#6157C2311yescharacteristic
229C2×C4⋊#6157C2311yescharacteristic
230C2×C4⋊#6157C2311yescharacteristic
231C2×C22⋊#6157C2311yescharacteristic
232C2×C22⋊#6157C2311yescharacteristic
233C2×C22⋊#6157C2311yescharacteristic
234C2×C22⋊#6157C2311yescharacteristic
235C2×C22⋊#6157C2311yescharacteristic
236C2×C22⋊#6157C2311yescharacteristic
237C2×C4×#6157C2311yescharacteristic
238C2×C4×#6157C2311yescharacteristic
239C2×C4×#6157C2311yescharacteristic
240C2×C4×#6157C2311yescharacteristic
241C2×C4×#6157C2311yescharacteristic
242C2×C4×#6157C2311yescharacteristic
243C2×C4×#6157C2311yescharacteristic
244C2×C4×#6157C2311yescharacteristic
245C2×C4×#6157C2311yescharacteristic
246C2×C4×#6157C2311yescharacteristic
247C2×C4×#6157C2311yescharacteristic
248C2×C4×#6157C2311yescharacteristic
249C2×C4×#6157C2311yescharacteristic
250C2×C4×#6157C2311yescharacteristic
251C2×C4×#6157C2311yescharacteristic
252C2×C4×#6157C2311yescharacteristic
253C2×C4×#6157C2311yescharacteristic
254C2×C4×#6157C2311yescharacteristic
255C2×C4×#6157C2311yescharacteristic
256C2×C4×#6157C2311yescharacteristic
257C2×C4×#6157C2311yescharacteristic
258C2×C4×#6157C2311yescharacteristic
259C2×C4×#6157C2311yescharacteristic
260C2×C4×#6157C2311yescharacteristic
261C2×C4×#6157C2311yescharacteristic
262C2×C4×#6157C2311yescharacteristic
263(C2×#6157)⋊C4C2311yescharacteristic
264(C2×#6157)⋊C4C2311yescharacteristic
265(C2×#6157)⋊C4C2311yescharacteristic
266(C2×#6157)⋊C4C2311yescharacteristic
267(C2×#6157)⋊C4C2311yescharacteristic
268(C2×#6157)⋊C4C2311yescharacteristic
269(C2×#6157)⋊C4C2311yescharacteristic
270(C2×#6157)⋊C4C2311yescharacteristic
271(C2×#6157)⋊C4C2311yescharacteristic
272(C2×#6157)⋊C4C2311yescharacteristic
273(C2×#6157)⋊C4C2311yescharacteristic
274(C2×#6157)⋊C4C2311yescharacteristic
275(C2×#6157)⋊C4C2311yescharacteristic
276(C2×#6157)⋊C4C2311yescharacteristic
277(C2×#6157)⋊C4C2311yescharacteristic
278(C2×#6157)⋊C4C2311yescharacteristic
279(C2×#6157)⋊C4C2311yescharacteristic
280(C2×#6157)⋊C4C2311yescharacteristic
281(C2×#6157)⋊C4C2311yescharacteristic
282(C2×#6157)⋊C4C2311yescharacteristic
283(C2×#6157)⋊C4C2311yescharacteristic
284(C2×#6157)⋊C4C2311yescharacteristic
285(C2×#6157)⋊C4C2311yescharacteristic
286(C2×#6157)⋊C4C2311yescharacteristic
287(C2×#6157)⋊C4C2311yescharacteristic
288(C2×#6157)⋊C4C2311yescharacteristic
289(C2×#6157)⋊C4C2311yescharacteristic
290(C2×#6157)⋊C4C2311yescharacteristic
291(C2×#6157)⋊C4C2311yescharacteristic
292(C2×#6157)⋊C4C2311yescharacteristic
293(C2×#6157)⋊C4C2311yescharacteristic
294(C2×#6157)⋊C4C2311yescharacteristic
295(C2×#6157)⋊C4C2311yescharacteristic
296(C2×#6157)⋊C4C2311yescharacteristic
297(C2×#6157)⋊C4C2311yescharacteristic
298(C2×#6157)⋊C4C2311yescharacteristic
299(C2×#6157)⋊C4C2311yescharacteristic
300(C2×#6157)⋊C4C2311yescharacteristic
301(C2×#6157)⋊C4C2311yescharacteristic
302(C2×#6157)⋊C4C2311yescharacteristic
303(C2×#6157)⋊C4C2311yescharacteristic
304(C2×#6157)⋊C4C2311yescharacteristic
305(C2×#6157)⋊C4C2311yescharacteristic
306(C2×#6157)⋊C4C2311yescharacteristic
307(C2×#6157)⋊C4C2311yescharacteristic
308(C2×#6157)⋊C4C2311yescharacteristic
309(C2×#6157)⋊C4C2311yescharacteristic
310(C2×#6157)⋊C4C2311yescharacteristic
311(C2×#6157)⋊C4C2311yescharacteristic
312(C2×#6157)⋊C4C2311yescharacteristic
313(C2×#6157)⋊C4C2311yescharacteristic
314(C2×#6157)⋊C4C2311yescharacteristic
315(C2×#6157)⋊C4C2311yescharacteristic
316(C2×#6157)⋊C4C2311yescharacteristic
317(C2×#6157)⋊C4C2311yescharacteristic
318(C2×#6157)⋊C4C2311yescharacteristic
319(C2×#6157)⋊C4C2311yescharacteristic
320(C2×#6157)⋊C4C2311yescharacteristic
321(C2×#6157)⋊C4C2311yescharacteristic
322(C2×#6157)⋊C4C2311yescharacteristic
323C2×Q8×D53C2311yescharacteristic
324C2×Q8×D53C2311yescharacteristic
325C22×C4×D53C2311yescharacteristic
326#13133217C2×C411yescharacteristic, complemented
327#13133216C2×C411yescharacteristic, complemented
328#13133216C2×C411yescharacteristic, complemented
329#13133216C2×C411yescharacteristic, complemented
330#13133216C2×C411yescharacteristic, complemented
331#13133215C2×C411yescharacteristic, complemented
332#13133215C2×C411yescharacteristic, complemented
333#13133212C2×C411yescharacteristic
334#13133212C2×C411yescharacteristic
335#13133212C2×C411yescharacteristic
336#13133212C2×C411yescharacteristic
337#13133212C2×C411yescharacteristic
338#13133212C2×C411yescharacteristic
339#13133212C2×C411yescharacteristic
340#13133212C2×C411yescharacteristic
341#13133212C2×C411yescharacteristic
342#13133212C2×C411yescharacteristic
343#13133212C2×C411yescharacteristic
344#13133212C2×C411yescharacteristic
345#13133211C2×C411yescharacteristic
346#13133211C2×C411yescharacteristic
347#13133211C2×C411yescharacteristic
348#13133211C2×C411yescharacteristic
349#13133210C2×C411yescharacteristic
350#13133210C2×C411yescharacteristic
351#13133210C2×C411yescharacteristic
352#13133210C2×C411yescharacteristic
353#13133210C2×C411yescharacteristic
354#13133210C2×C411yescharacteristic
355#13133210C2×C411yescharacteristic
356#13133210C2×C411yescharacteristic
357#13133210C2×C411yescharacteristic
358#13133210C2×C411yescharacteristic
359#13133210C2×C411yescharacteristic
360#13133210C2×C411yescharacteristic
361#13133209C2×C411yescharacteristic, complemented
362#13133209C2×C411yescharacteristic, complemented
363#13133209C2×C411yescharacteristic, complemented
364#13133209C2×C411yescharacteristic, complemented
365#13133209C2×C411yescharacteristic, complemented
366#13133208C2×C411yescharacteristic, complemented
367#13133208C2×C411yescharacteristic, complemented
368#13133208C2×C411yescharacteristic, complemented
369#13133208C2×C411yescharacteristic, complemented
370#13133208C2×C411yescharacteristic, complemented
371#13133208C2×C411yescharacteristic, complemented
372#13133208C2×C411yescharacteristic, complemented
373#13133208C2×C411yescharacteristic, complemented
374#13133208C2×C411yescharacteristic, complemented
375#13133208C2×C411yescharacteristic, complemented
376#13133207C2×C411yescharacteristic, complemented
377#13133207C2×C411yescharacteristic, complemented
378#13133207C2×C411yescharacteristic, complemented
379#13133207C2×C411yescharacteristic, complemented
380#13133207C2×C411yescharacteristic, complemented
381#13133207C2×C411yescharacteristic, complemented
382#13133207C2×C411yescharacteristic, complemented
383#13133207C2×C411yescharacteristic, complemented
384#13133207C2×C411yescharacteristic, complemented
385#13133207C2×C411yescharacteristic, complemented
386#13133207C2×C411yescharacteristic, complemented
387#13133207C2×C411yescharacteristic, complemented
388#13133207C2×C411yescharacteristic, complemented
389#13133207C2×C411yescharacteristic, complemented
390#13133207C2×C411yescharacteristic, complemented
391#13133207C2×C411yescharacteristic, complemented
392#13133207C2×C411yescharacteristic, complemented
393#13133207C2×C411yescharacteristic, complemented
394#13133207C2×C411yescharacteristic, complemented
395#13133207C2×C411yescharacteristic, complemented
396#13133197C2×C411yescharacteristic
397#13133197C2×C411yescharacteristic
398#13133196C2×C411yescharacteristic
399#13133196C2×C411yescharacteristic
400#13133195C2×C411yescharacteristic
401#13133195C2×C411yescharacteristic
402#13133195C2×C411yescharacteristic
403#13133195C2×C411yescharacteristic
404#13133194C2×C411yescharacteristic
405#13133194C2×C411yescharacteristic
406#13133194C2×C411yescharacteristic
407#13133194C2×C411yescharacteristic
408#13133193C2×C411yescharacteristic
409#13133193C2×C411yescharacteristic
410Q8×Dic53C2×C411yescharacteristic, complemented
411Q8×Dic53C2×C411yescharacteristic, complemented
412C4×Dic106C2×C411yescharacteristic, complemented
413C4×Dic106C2×C411yescharacteristic, complemented
414C4×Dic106C2×C411yescharacteristic, complemented
415C4×Dic106C2×C411yescharacteristic, complemented
416C4×Dic106C2×C411yescharacteristic, complemented
417C4×Dic106C2×C411yescharacteristic, complemented
418#13133182C2×C411yescharacteristic, complemented
419#13133182C2×C411yescharacteristic, complemented
420#13133182C2×C411yescharacteristic, complemented
421#13133182C2×C411yescharacteristic, complemented
422#13133182C2×C411yescharacteristic, complemented
423#13133182C2×C411yescharacteristic, complemented
424#13133176C2×C411yescharacteristic
425#13133175C2×C411yescharacteristic
426#13133175C2×C411yescharacteristic
427#13133174C2×C411yescharacteristic
428#13133174C2×C411yescharacteristic
429#13133173C2×C411yescharacteristic
430#13133173C2×C411yescharacteristic
431C4⋊C4×D53C2311yescharacteristic
432C4⋊C4×D53C2311yescharacteristic
433C4⋊C4×D53C2311yescharacteristic
434C4⋊C4×D53C2311yescharacteristic
435C4⋊C4×D53C2311yescharacteristic
436C4⋊C4×D53C2311yescharacteristic
437C4⋊C4×D53C2311yescharacteristic
438C4⋊C4×D53C2311yescharacteristic
439C4⋊C4×D53C2311yescharacteristic
440C4⋊C4×D53C2311yescharacteristic
441C4⋊C4×D53C2311yescharacteristic
442C4⋊C4×D53C2311yescharacteristic
443C4⋊C4×D53C2311yescharacteristic
444C4⋊C4×D53C2311yescharacteristic
445C4⋊C4×D53C2311yescharacteristic
446C4⋊C4×D53C2311yescharacteristic
447C4⋊C4×D53C2311yescharacteristic
448C4⋊C4×D53C2311yescharacteristic
449C4⋊C4×D53C2311yescharacteristic
450C4⋊C4×D53C2311yescharacteristic
451C22⋊C4×D53C2311yescharacteristic
452C22⋊C4×D53C2311yescharacteristic
453C22⋊C4×D53C2311yescharacteristic
454C22⋊C4×D53C2311yescharacteristic
455C22⋊C4×D53C2311yescharacteristic
456C22⋊C4×D53C2311yescharacteristic
457C42×D53C2311yescharacteristic
458C42×D53C2311yescharacteristic
459C42×D53C2311yescharacteristic
460C42×D53C2311yescharacteristic
461C42×D53C2311yescharacteristic
462C42×D53C2311yescharacteristic
463C4⋊Q8×C53C2×C411yescharacteristic, complemented
464#126×C53C2×C411yescharacteristic
465#126×C53C2×C411yescharacteristic
466#126×C53C2×C411yescharacteristic
467#126×C53C2×C411yescharacteristic
468#125×C53C2×C411yescharacteristic, complemented
469#125×C53C2×C411yescharacteristic, complemented
470#125×C53C2×C411yescharacteristic, complemented
471#125×C53C2×C411yescharacteristic, complemented
472#125×C53C2×C411yescharacteristic, complemented
473C22⋊Q8×C53C2×C411yescharacteristic
474C22⋊Q8×C53C2×C411yescharacteristic
475C4×Q8×C53C2×C411yescharacteristic, complemented
476C4×Q8×C53C2×C411yescharacteristic, complemented
477#117×C53C2×C411yescharacteristic
478C23×D53C2411yescharacteristic
479C22×#6157—22no—
480C22×#6157—41no—
481C22×#6157—41no—
482C22×#6157—41no—
483C22×#6157—41no—
484C22×#6157—41no—
485C22×#6157C2411yescharacteristic
486C22×#6157C2411yescharacteristic
487C22×#6157C2411yescharacteristic
488C22×#6157C2411yescharacteristic
489C22×#6157C2411yescharacteristic
490C22×#6157C2411yescharacteristic
491C22×#6157C2411yescharacteristic
492C22×#6157C2411yescharacteristic
493C22×#6157C2411yescharacteristic
494C22×#6157C2411yescharacteristic
495C22×#6157C2411yescharacteristic
496C22×#6157C2411yescharacteristic
497C22×#6157C2411yescharacteristic
498C22×#6157C2411yescharacteristic
499C22×#6157C2411yescharacteristic
500C22×#6157C2411yescharacteristic
501C2×Q8×C53C22×C411yescharacteristic
502C2×Q8×C53C22×C411yescharacteristic
503C22×C4×C53C22×C411yescharacteristic
504C22×Dic53C22×C411yescharacteristic
505Q8×D53—41no—
506Q8×D53—41no—
507Q8×D53—41no—
508Q8×D53—41no—
509C2×C4×D53—41no—
510C2×C4×D53—41no—
511C2×C4×D53C22×C411yescharacteristic
512C2×C4×D53C22×C411yescharacteristic
513C2×C4×D53C2411yescharacteristic
514C2×C4×D53C2411yescharacteristic
515C2×C4×D53C2411yescharacteristic
516C2×C4×D53C2411yescharacteristic
517C2×C4×D53C2411yescharacteristic
518C2×C4×D53C2411yescharacteristic
519C2×C4×D53C2411yescharacteristic
520C2×C4×D53C2411yescharacteristic
521C2×C4×D53C2411yescharacteristic
522C2×C4×D53C2411yescharacteristic
523C2×C4×D53C2411yescharacteristic
524C2×C4×D53C2411yescharacteristic
525C2×C4×D53C2411yescharacteristic
526C2×C4×D53C2411yescharacteristic
527C2×Dic106C22×C411yescharacteristic
528C2×Dic106C22×C411yescharacteristic
529C2×Dic106C22×C411yescharacteristic
530C2×Dic106C22×C411yescharacteristic
531C2×Dic106C22×C411yescharacteristic
532C2×Dic106C22×C411yescharacteristic
533C22⋊#6157—22no—
534C22⋊#6157—41no—
535C22⋊#6157—41no—
536C22⋊#6157—41no—
537C22⋊#6157—41no—
538C22⋊#6157—41no—
539C4⋊#6157—22no—
540C4⋊#6157—22no—
541C4⋊#6157—22no—
542C4⋊#6157—22no—
543C4⋊#6157—22no—
544C4⋊#6157—41no—
545C4⋊#6157—41no—
546C4⋊#6157—41no—
547C4⋊#6157—41no—
548C4⋊#6157—41no—
549C4⋊#6157—41no—
550C4⋊#6157—41no—
551C4⋊#6157—41no—
552C4⋊#6157—41no—
553C4⋊#6157—41no—
554C4⋊#6157—41no—
555C4⋊#6157—41no—
556C4⋊#6157—41no—
557C4⋊#6157—41no—
558C4⋊#6157—41no—
559C4⋊#6157—41no—
560C4⋊#6157—41no—
561C4⋊#6157—41no—
562C4⋊#6157—41no—
563C4⋊#6157—41no—
564C4⋊#6157—41no—
565C4×#6157—22no—
566C4×#6157—22no—
567C4×#6157—22no—
568C4×#6157—41no—
569C4×#6157—41no—
570C4×#6157—41no—
571C4×#6157—41no—
572C4×#6157—41no—
573C4×#6157—41no—
574C4×#6157—41no—
575C4×#6157—41no—
576C4×#6157—41no—
577C4×#6157—41no—
578C4×#6157—41no—
579C4×#6157—41no—
580C4×#6157—41no—
581C4×#6157—41no—
582C4×#6157—41no—
583C4×#6157—41no—
584C4×#6157—41no—
585C4×#6157—41no—
586C4×#6157—41no—
587C4×#6157—41no—
588C4×#6157—41no—
589C4×#6157—41no—
590C4×#6157—41no—
591C4⋊C4×C53C22×C411yescharacteristic
592C4⋊C4×C53C22×C411yescharacteristic
593C4⋊C4×C53C22×C411yescharacteristic
594C4⋊C4×C53C22×C411yescharacteristic
595C4⋊C4×C53C22×C411yescharacteristic
596C4⋊C4×C53C22×C411yescharacteristic
597C4⋊C4×C53C22×C411yescharacteristic
598C4⋊C4×C53C22×C411yescharacteristic
599C4⋊C4×C53C22×C411yescharacteristic
600C4⋊C4×C53C22×C411yescharacteristic
601C4⋊C4×C53C22×C411yescharacteristic
602C4⋊C4×C53C22×C411yescharacteristic
603C4⋊C4×C53C22×C411yescharacteristic
604C4⋊C4×C53C22×C411yescharacteristic
605C4⋊C4×C53C22×C411yescharacteristic
606C4⋊C4×C53C22×C411yescharacteristic
607C4⋊C4×C53C22×C411yescharacteristic
608C4⋊C4×C53C22×C411yescharacteristic
609C4⋊C4×C53C22×C411yescharacteristic
610C4⋊C4×C53C22×C411yescharacteristic
611C22⋊C4×C53C22×C411yescharacteristic
612C22⋊C4×C53C22×C411yescharacteristic
613C22⋊C4×C53C22×C411yescharacteristic
614C22⋊C4×C53C22×C411yescharacteristic
615C22⋊C4×C53C22×C411yescharacteristic
616C22⋊C4×C53C22×C411yescharacteristic
617C42×C53C22×C411yescharacteristic
618C42×C53C22×C411yescharacteristic
619C42×C53C22×C411yescharacteristic
620C42×C53C22×C411yescharacteristic
621C42×C53C22×C411yescharacteristic
622C42×C53C22×C411yescharacteristic
623C22⋊Dic53C22×C411yescharacteristic
624C22⋊Dic53C22×C411yescharacteristic
625C22⋊Dic53C22×C411yescharacteristic
626C22⋊Dic53C22×C411yescharacteristic
627C22⋊Dic53C22×C411yescharacteristic
628C22⋊Dic53C22×C411yescharacteristic
629#11719921C22×C411yescharacteristic
630#11719921C22×C411yescharacteristic
631#11719921C22×C411yescharacteristic
632#11719921C22×C411yescharacteristic
633#11719921C22×C411yescharacteristic
634#11719921C22×C411yescharacteristic
635#11719921C22×C411yescharacteristic
636#11719921C22×C411yescharacteristic
637#11719921C22×C411yescharacteristic
638#11719921C22×C411yescharacteristic
639#11719921C22×C411yescharacteristic
640#11719921C22×C411yescharacteristic
641C4⋊Dic53C22×C411yescharacteristic
642C4⋊Dic53C22×C411yescharacteristic
643C4⋊Dic53C22×C411yescharacteristic
644C4⋊Dic53C22×C411yescharacteristic
645C4⋊Dic53C22×C411yescharacteristic
646C4⋊Dic53C22×C411yescharacteristic
647C4⋊Dic53C22×C411yescharacteristic
648C4⋊Dic53C22×C411yescharacteristic
649C4⋊Dic53C22×C411yescharacteristic
650C4⋊Dic53C22×C411yescharacteristic
651C4⋊Dic53C22×C411yescharacteristic
652C4⋊Dic53C22×C411yescharacteristic
653C4⋊Dic53C22×C411yescharacteristic
654C4⋊Dic53C22×C411yescharacteristic
655C4⋊Dic53C22×C411yescharacteristic
656C4⋊Dic53C22×C411yescharacteristic
657C4⋊Dic53C22×C411yescharacteristic
658C4⋊Dic53C22×C411yescharacteristic
659C4⋊Dic53C22×C411yescharacteristic
660C4⋊Dic53C22×C411yescharacteristic
661#11719919C22×C411yescharacteristic
662#11719919C22×C411yescharacteristic
663#11719919C22×C411yescharacteristic
664#11719919C22×C411yescharacteristic
665#11719919C22×C411yescharacteristic
666#11719919C22×C411yescharacteristic
667#11719919C22×C411yescharacteristic
668#11719919C22×C411yescharacteristic
669#11719919C22×C411yescharacteristic
670#11719919C22×C411yescharacteristic
671#11719919C22×C411yescharacteristic
672#11719919C22×C411yescharacteristic
673#11719919C22×C411yescharacteristic
674#11719919C22×C411yescharacteristic
675#11719919C22×C411yescharacteristic
676#11719919C22×C411yescharacteristic
677#11719919C22×C411yescharacteristic
678#11719919C22×C411yescharacteristic
679#11719919C22×C411yescharacteristic
680#11719919C22×C411yescharacteristic
681#11719919C22×C411yescharacteristic
682#11719919C22×C411yescharacteristic
683#11719919C22×C411yescharacteristic
684#11719919C22×C411yescharacteristic
685#11719919C22×C411yescharacteristic
686#11719919C22×C411yescharacteristic
687#11719919C22×C411yescharacteristic
688#11719919C22×C411yescharacteristic
689#11719919C22×C411yescharacteristic
690#11719919C22×C411yescharacteristic
691#11719919C22×C411yescharacteristic
692#11719919C22×C411yescharacteristic
693#11719919C22×C411yescharacteristic
694#11719919C22×C411yescharacteristic
695#11719919C22×C411yescharacteristic
696#11719919C22×C411yescharacteristic
697#11719919C22×C411yescharacteristic
698#11719919C22×C411yescharacteristic
699#11719919C22×C411yescharacteristic
700#11719919C22×C411yescharacteristic
701C4×Dic53C22×C411yescharacteristic
702C4×Dic53C22×C411yescharacteristic
703C4×Dic53C22×C411yescharacteristic
704C4×Dic53C22×C411yescharacteristic
705C4×Dic53C22×C411yescharacteristic
706C4×Dic53C22×C411yescharacteristic
707C4×Dic53C22×C411yescharacteristic
708C4×Dic53C22×C411yescharacteristic
709C4×Dic53C22×C411yescharacteristic
710C4×Dic53C22×C411yescharacteristic
711C4×Dic53C22×C411yescharacteristic
712C4×Dic53C22×C411yescharacteristic
713C4×Dic53C22×C411yescharacteristic
714C4×Dic53C22×C411yescharacteristic
715C4×Dic53C22×C411yescharacteristic
716C4×Dic53C22×C411yescharacteristic
717C4×Dic53C22×C411yescharacteristic
718C4×Dic53C22×C411yescharacteristic
719C23×C53C23×C411yescharacteristic
720C22×D53—21no—
721C22×D53—21no—
722C22×D53—21no—
723C22×D53—21no—
724C22×D53—21no—
725C22×D53—21no—
726C22×D53C23×C411yescharacteristic
727C22×D53C2511yescharacteristic
728C2×#6157—21no—
729C2×#6157—21no—
730C2×#6157—21no—
731C2×#6157—21no—
732C2×#6157—21no—
733C2×#6157—21no—
734C2×#6157—21no—
735C2×#6157—21no—
736C2×#6157—21no—
737C2×#6157—21no—
738C2×#6157—21no—
739C2×#6157—21no—
740C2×#6157—21no—
741C2×#6157—21no—
742C2×#6157—21no—
743C2×#6157—21no—
744C2×#6157—21no—
745C2×#6157—21no—
746C2×#6157—21no—
747C2×#6157—21no—
748C2×#6157—21no—
749C2×#6157—21no—
750C2×#6157—21no—
751C2×#6157—21no—
752C2×#6157—21no—
753C2×#6157—21no—
754C2×#6157—21no—
755C2×#6157—21no—
756C2×#6157—21no—
757C2×#6157—21no—
758C2×#6157—21no—
759C2×#6157—21no—
760C2×#6157—21no—
761C2×#6157—21no—
762C2×#6157—21no—
763C2×#6157—21no—
764C2×#6157—21no—
765C2×#6157—21no—
766C2×#6157—21no—
767C2×#6157—21no—
768C2×#6157—21no—
769C2×#6157—21no—
770C2×#6157—21no—
771C2×#6157—21no—
772C2×#6157—21no—
773C2×#6157—21no—
774C2×#6157—82no—
775C2×#6157—82no—
776C2×#61572−1+412yes—
777C2×#61572−1+412yes—
778Q8×C53—41no—
779Q8×C53—41no—
780C2×C4×C53—41no—
781C2×C4×C53C23×C411yescharacteristic
782C2×C4×C53C23×C411yescharacteristic
783C2×C4×C53C23×C411yescharacteristic
784C2×C4×C53C23×C411yescharacteristic
785C2×C4×C53C23×C411yescharacteristic
786C2×C4×C53C23×C411yescharacteristic
787C2×C4×C53C23×C411yescharacteristic
788C2×C4×C53C23×C411yescharacteristic
789C2×C4×C53C23×C411yescharacteristic
790C2×C4×C53C23×C411yescharacteristic
791C2×C4×C53C23×C411yescharacteristic
792C2×C4×C53C23×C411yescharacteristic
793C2×C4×C53C23×C411yescharacteristic
794C2×C4×C53C23×C411yescharacteristic
795C2×Dic53—41no—
796C2×Dic53C23×C411yescharacteristic
797C2×Dic53C23×C411yescharacteristic
798C2×Dic53C23×C411yescharacteristic
799C2×Dic53C23×C411yescharacteristic
800C2×Dic53C23×C411yescharacteristic
801C2×Dic53C23×C411yescharacteristic
802C2×Dic53C23×C411yescharacteristic
803C2×Dic53C23×C411yescharacteristic
804C2×Dic53C23×C411yescharacteristic
805C2×Dic53C23×C411yescharacteristic
806C2×Dic53C23×C411yescharacteristic
807C2×Dic53C23×C411yescharacteristic
808C2×Dic53C23×C411yescharacteristic
809C2×Dic53C23×C411yescharacteristic
810C4×D53—21no—
811C4×D53—21no—
812C4×D53—21no—
813C4×D53—21no—
814C4×D53—21no—
815C4×D53—21no—
816C4×D53—21no—
817C4×D53—21no—
818C4×D53—21no—
819C4×D53—21no—
820C4×D53—21no—
821C4×D53—21no—
822C4×D53—21no—
823C4×D53—21no—
824C4×D53—21no—
825C4×D53—21no—
826C4×D53—21no—
827C4×D53—21no—
828C4×D53—21no—
829C4×D53—21no—
830C4×D53—21no—
831C4×D53—21no—
832C4×D53—21no—
833C4×D53—21no—
834C4×D53—21no—
835C4×D53—21no—
836C4×D53—21no—
837C4×D53—21no—
838C4×D53—41no—
839C4×D53—41no—
840Dic106—41no—
841Dic106—41no—
842Dic106—41no—
843Dic106—41no—
844Dic106—41no—
845Dic106—41no—
846#34445—531nomaximal, Sylow
847C22×C53—21no—
848C22×C53—21no—
849C22×C53—21no—
850C22×C53C24×C411yescharacteristic
851C2×D53—21no—
852C2×D53—21no—
853C2×D53—21no—
854C2×D53—41no—
855C2×D53—41no—
856C2×D53—41no—
857C2×D53—41no—
858C2×D53C2×2−1+411yescharacteristic
859C2×D53C2×2−1+411yescharacteristic
860C2×D53#58511yescharacteristic
861C2×D53#58511yescharacteristic
862C2×D53#58511yescharacteristic
863C2×D53#58511yescharacteristic
864#6157—22no—
865#6157—22no—
866#6157—41no—
867#6157—41no—
868#6157—41no—
869#6157—41no—
870#6157—41no—
871#6157—41no—
872#6157—41no—
873#6157—41no—
874#6157—41no—
875#6157—41no—
876#6157—41no—
877#6157—41no—
878#6157—41no—
879#6157—41no—
880C4×C53—21no—
881C4×C53—21no—
882C4×C53—21no—
883C4×C53—21no—
884C4×C53—21no—
885C4×C53—21no—
886C4×C53—21no—
887C4×C53—21no—
888C4×C53—21no—
889C4×C53—21no—
890C4×C53—21no—
891C4×C53—21no—
892C4×C53—21no—
893C4×C53—21no—
894Dic53—21no—
895Dic53—21no—
896Dic53—21no—
897Dic53—21no—
898Dic53—21no—
899Dic53—21no—
900Dic53—21no—
901Dic53—21no—
902Dic53—21no—
903Dic53—21no—
904Dic53—21no—
905Dic53—21no—
906Dic53—21no—
907Dic53—21no—
908C2×#541—531no—
909#2383—531no—
910#2382—531no—
911#2381—531no—
912#2378—531no—
913#2373—531no—
914#2373—531no—
915#2373—531no—
916#2371—531no—
917#2370—531no—
918#2370—531no—
919#2369—531no—
920#2368—531no—
921#2356—531no—
922#2355—531no—
923#2347—531no—
924#2343—531no—
925#2336—531no—
926#2336—531no—
927#2336—531no—
928#2336—531no—
929#2334—531no—
930#2334—531no—
931#2334—531no—
932#2332—531no—
933#2330—531no—
934#2329—531no—
935#2320—531no—
936C4×#125—531no—
937C4×#126—531no—
938#2295—531no—
939C2×C53—41no—
940C2×C53#342811yescharacteristic
941C2×C53C4×2−1+411yescharacteristic
942C2×C53C4×2−1+411yescharacteristic
943D53—41no—
944D53#355311yescharacteristic
945D53#355511yescharacteristic
946D53#356411yescharacteristic
947D53#356611yescharacteristic
948#541—531no—
949#541—531no—
950#541—531no—
951#541—531no—
952#541—531no—
953#541—531no—
954#541—531no—
955#541—531no—
956#541—531no—
957#541—531no—
958#541—531no—
959#541—531no—
960#541—531no—
961#541—531no—
962#541—531no—
963#541#615711yescharacteristic, complemented
964C2×C4⋊Q8—531no—
965C2×#126—531no—
966C2×#126—531no—
967C2×#126—531no—
968C2×#126—531no—
969C2×#125—531no—
970C2×#125—531no—
971C2×#125—531no—
972C2×#125—531no—
973C2×#125—531no—
974C2×C22⋊Q8—531no—
975C2×C22⋊Q8—531no—
976C2×C4×Q8—531no—
977C2×C4×Q8—531no—
978C2×#117—531no—
979#391—531no—
980#391—531no—
981#391—531no—
982#391—531no—
983#391—531no—
984#391—531no—
985#391—531no—
986#391—531no—
987#389—531no—
988#389—531no—
989#389—531no—
990#389—531no—
991#389—531no—
992#389—531no—
993#389—531no—
994#389—531no—
995#389—531no—
996#389—531no—
997#389—531no—
998#389—531no—
999#389—531no—
1000#389—531no—
1001#389—531no—
1002#389—531no—
1003#389—531no—
1004#389—531no—
1005#388—531no—
1006#388—531no—
1007#388—531no—
1008#388—531no—
1009#388—531no—
1010#388—531no—
1011#388—531no—
1012#388—531no—
1013#388—531no—
1014#388—531no—
1015#388—531no—
1016#388—531no—
1017#387—531no—
1018#387—531no—
1019#387—531no—
1020#387—531no—
1021#387—531no—
1022#387—531no—
1023#387—531no—
1024#387—531no—
1025#387—531no—
1026#387—531no—
1027#387—531no—
1028#387—531no—
1029#387—531no—
1030#387—531no—
1031#387—531no—
1032#387—531no—
1033#387—531no—
1034#387—531no—
1035#387—531no—
1036#387—531no—
1037#387—531no—
1038#387—531no—
1039#387—531no—
1040#387—531no—
1041#387—531no—
1042#387—531no—
1043#387—531no—
1044#387—531no—
1045#387—531no—
1046#387—531no—
1047#387—531no—
1048#387—531no—
1049#387—531no—
1050#387—531no—
1051#387—531no—
1052#387—531no—
1053#387—531no—
1054#387—531no—
1055#387—531no—
1056#387—531no—
1057#387—531no—
1058#387—531no—
1059#387—531no—
1060#387—531no—
1061#385—531no—
1062#385—531no—
1063#385—531no—
1064#385—531no—
1065#385—531no—
1066#385—531no—
1067#384—531no—
1068#383—531no—
1069#383—531no—
1070#383—531no—
1071#383—531no—
1072#383—531no—
1073#382—531no—
1074#382—531no—
1075#382—531no—
1076#382—531no—
1077#381—531no—
1078#380—531no—
1079C4×C4⋊C4—531no—
1080C4×C4⋊C4—531no—
1081C4×C4⋊C4—531no—
1082C4×C4⋊C4—531no—
1083C4×C4⋊C4—531no—
1084C4×C4⋊C4—531no—
1085C4×C4⋊C4—531no—
1086C4×C4⋊C4—531no—
1087C4×C4⋊C4—531no—
1088C4×C4⋊C4—531no—
1089C4×C4⋊C4—531no—
1090C4×C4⋊C4—531no—
1091C4×C4⋊C4—531no—
1092C4×C4⋊C4—531no—
1093C4×C4⋊C4—531no—
1094C4×C4⋊C4—531no—
1095C4×C4⋊C4—531no—
1096C4×C4⋊C4—531no—
1097C4×C4⋊C4—531no—
1098C4×C4⋊C4—531no—
1099C4×C4⋊C4—531no—
1100C4×C4⋊C4—531no—
1101C4×C4⋊C4—531no—
1102C4×C4⋊C4—531no—
1103C4×C4⋊C4—531no—
1104C4×C4⋊C4—531no—
1105C4×C4⋊C4—531no—
1106C4×C22⋊C4—531no—
1107C4×C22⋊C4—531no—
1108C4×C22⋊C4—531no—
1109C4×C22⋊C4—531no—
1110C4×C22⋊C4—531no—
1111C4×C22⋊C4—531no—
1112C4×C22⋊C4—531no—
1113#376—531no—
1114#376—531no—
1115#376—531no—
1116#376—531no—
1117C2×#95—531no—
1118C43—531no—
1119C53#3444511yescharacteristic, complemented, Sylow
1120C22×Q8—531no—
1121C22×Q8—531no—
1122C23×C4—531no—
1123C23×C4—531no—
1124C23×C4—531no—
1125C4⋊Q8—531no—
1126C4⋊Q8—531no—
1127C4⋊Q8—531no—
1128C4⋊Q8—531no—
1129C4⋊Q8—531no—
1130C4⋊Q8—531no—
1131C4⋊Q8—531no—
1132C4⋊Q8C2×#615711yescharacteristic, complemented
1133#126—531no—
1134#126—531no—
1135#126—531no—
1136#126—531no—
1137#126—531no—
1138#126—531no—
1139#126—531no—
1140#126—531no—
1141#126—531no—
1142#126—531no—
1143#126—531no—
1144#126—531no—
1145#126—531no—
1146#126—531no—
1147#126—531no—
1148#126—531no—
1149#126—531no—
1150#126—531no—
1151#126—531no—
1152#126—531no—
1153#126—531no—
1154#126—531no—
1155#126—531no—
1156#126—531no—
1157#126—531no—
1158#126—531no—
1159#126—531no—
1160#126—531no—
1161#126C2×#615711yescharacteristic
1162#126C2×#615711yescharacteristic
1163#126C2×#615711yescharacteristic
1164#126C2×#615711yescharacteristic
1165#125—531no—
1166#125—531no—
1167#125—531no—
1168#125—531no—
1169#125—531no—
1170#125—531no—
1171#125—531no—
1172#125—531no—
1173#125—531no—
1174#125—531no—
1175#125—531no—
1176#125—531no—
1177#125—531no—
1178#125—531no—
1179#125—531no—
1180#125—531no—
1181#125—531no—
1182#125—531no—
1183#125—531no—
1184#125—531no—
1185#125—531no—
1186#125—531no—
1187#125—531no—
1188#125—531no—
1189#125—531no—
1190#125—531no—
1191#125—531no—
1192#125—531no—
1193#125—531no—
1194#125—531no—
1195#125—531no—
1196#125—531no—
1197#125—531no—
1198#125—531no—
1199#125—531no—
1200#125C2×#615711yescharacteristic, complemented
1201#125C2×#615711yescharacteristic, complemented
1202#125C2×#615711yescharacteristic, complemented
1203#125C2×#615711yescharacteristic, complemented
1204#125C2×#615711yescharacteristic, complemented
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—531no—
1208C22⋊Q8—531no—
1209C22⋊Q8—531no—
1210C22⋊Q8—531no—
1211C22⋊Q8—531no—
1212C22⋊Q8—531no—
1213C22⋊Q8—531no—
1214C22⋊Q8—531no—
1215C22⋊Q8—531no—
1216C22⋊Q8—531no—
1217C22⋊Q8—531no—
1218C22⋊Q8—531no—
1219C22⋊Q8C2×#615711yescharacteristic
1220C22⋊Q8C2×#615711yescharacteristic
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—531no—
1226C4×Q8—531no—
1227C4×Q8—531no—
1228C4×Q8—531no—
1229C4×Q8—531no—
1230C4×Q8—531no—
1231C4×Q8—531no—
1232C4×Q8—531no—
1233C4×Q8—531no—
1234C4×Q8—531no—
1235C4×Q8C2×#615711yescharacteristic, complemented
1236C4×Q8C2×#615711yescharacteristic, complemented
1237#117—531no—
1238#117—531no—
1239#117—531no—
1240#117—531no—
1241#117—531no—
1242#117—531no—
1243#117—531no—
1244#117C2×#615711yescharacteristic
1245C2×C4⋊C4—531no—
1246C2×C4⋊C4—531no—
1247C2×C4⋊C4—531no—
1248C2×C4⋊C4—531no—
1249C2×C4⋊C4—531no—
1250C2×C4⋊C4—531no—
1251C2×C4⋊C4—531no—
1252C2×C4⋊C4—531no—
1253C2×C4⋊C4—531no—
1254C2×C4⋊C4—531no—
1255C2×C4⋊C4—531no—
1256C2×C4⋊C4—531no—
1257C2×C4⋊C4—531no—
1258C2×C4⋊C4—531no—
1259C2×C4⋊C4—531no—
1260C2×C4⋊C4—531no—
1261C2×C4⋊C4—531no—
1262C2×C4⋊C4—531no—
1263C2×C4⋊C4—531no—
1264C2×C4⋊C4—531no—
1265C2×C4⋊C4—531no—
1266C2×C4⋊C4—531no—
1267C2×C4⋊C4—531no—
1268C2×C4⋊C4—531no—
1269C2×C4⋊C4—531no—
1270C2×C4⋊C4—531no—
1271C2×C4⋊C4—531no—
1272C2×C4⋊C4—531no—
1273C2×C4⋊C4—531no—
1274C2×C4⋊C4—531no—
1275C2×C4⋊C4—531no—
1276C2×C4⋊C4—531no—
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—531no—
1280C2×C4⋊C4—531no—
1281C2×C4⋊C4—531no—
1282C2×C4⋊C4—531no—
1283C2×C4⋊C4—531no—
1284C2×C4⋊C4—531no—
1285C2×C4⋊C4—531no—
1286C2×C4⋊C4—531no—
1287C2×C4⋊C4—531no—
1288C2×C4⋊C4—531no—
1289C2×C4⋊C4—531no—
1290C2×C4⋊C4—531no—
1291C2×C22⋊C4—531no—
1292C2×C22⋊C4—531no—
1293C2×C22⋊C4—531no—
1294C2×C22⋊C4—531no—
1295C2×C22⋊C4—531no—
1296C2×C22⋊C4—531no—
1297C2×C22⋊C4—531no—
1298C2×C22⋊C4—531no—
1299C2×C22⋊C4—531no—
1300C2×C22⋊C4—531no—
1301C2×C22⋊C4—531no—
1302C2×C22⋊C4—531no—
1303C2×C42—531no—
1304C2×C42—531no—
1305C2×C42—531no—
1306C2×C42—531no—
1307C2×C42—531no—
1308C2×C42—531no—
1309C2×C42—531no—
1310C2×C42—531no—
1311C2×C42—531no—
1312C2×C42—531no—
1313C2×C42—531no—
1314C2×C42—531no—
1315C2×C42—531no—
1316C2×C42—531no—
1317C2×C42—531no—
1318C2×C42—531no—
1319C2×C42—531no—
1320C2×C42—531no—
1321C2×C42—531no—
1322C2×C42—531no—
1323C2×C42—531no—
1324C2×C42—531no—
1325C2×C42—531no—
1326C2×C42—531no—
1327C2×C42—531no—
1328C2×C42—531no—
1329C2×C42—531no—
1330C2×C42—531no—
1331C2×C42—531no—
1332C2×C42—531no—
1333C2×C42—531no—
1334C2×C42—531no—
1335#95—531no—
1336#95—531no—
1337#95—531no—
1338#95—531no—
1339#95—531no—
1340#95—531no—
1341#95—531no—
1342#95—531no—
1343#95—531no—
1344#95—531no—
1345#95—531no—
1346#95—531no—
1347#95—531no—
1348#95—531no—
1349#95—531no—
1350#95—531no—
1351#95—531no—
1352#95—531no—
1353#95—531no—
1354#95—531no—
1355#95—531no—
1356#95—531no—
1357#95—531no—
1358#95—531no—
1359#95—531no—
1360#95—531no—
1361#95—531no—
1362#95—531no—
1363#95—531no—
1364#95—531no—
1365#95—531no—
1366#95—531no—
1367#95—531no—
1368#95—531no—
1369#95—531no—
1370#95—531no—
1371#95—531no—
1372#95—531no—
1373#95—531no—
1374#95—531no—
1375#95—531no—
1376#95—531no—
1377#95—531no—
1378#95—531no—
1379#95—531no—
1380#95—531no—
1381#95—531no—
1382#95—531no—
1383#95—531no—
1384#95—531no—
1385#95—531no—
1386#95—531no—
1387#95—531no—
1388#95—531no—
1389#95—531no—
1390#95—531no—
1391#95—531no—
1392#95—531no—
1393#95—531no—
1394#95—531no—
1395C24—531no—
1396C2×Q8—531no—
1397C2×Q8—531no—
1398C2×Q8—531no—
1399C2×Q8—531no—
1400C2×Q8—531no—
1401C2×Q8—531no—
1402C2×Q8—2121no—
1403C2×Q8—2121no—
1404C2×Q8—2121no—
1405C2×Q8—2121no—
1406C2×Q8C22×#615711yescharacteristic
1407C2×Q8C22×#615711yescharacteristic
1408C22×C4—531no—
1409C22×C4—531no—
1410C22×C4—531no—
1411C22×C4—531no—
1412C22×C4—531no—
1413C22×C4—531no—
1414C22×C4—531no—
1415C22×C4—531no—
1416C22×C4—531no—
1417C22×C4—531no—
1418C22×C4—531no—
1419C22×C4—531no—
1420C22×C4—531no—
1421C22×C4—531no—
1422C22×C4—531no—
1423C22×C4—531no—
1424C22×C4—531no—
1425C22×C4—531no—
1426C22×C4—531no—
1427C22×C4—531no—
1428C22×C4—531no—
1429C22×C4—531no—
1430C22×C4—531no—
1431C22×C4—531no—
1432C22×C4—531no—
1433C22×C4—531no—
1434C22×C4—531no—
1435C22×C4—531no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—531no—
1440C22×C4—531no—
1441C22×C4—1062no—
1442C22×C4—2121no—
1443C22×C4—2121no—
1444C22×C4—2121no—
1445C22×C4—2121no—
1446C22×C4—2121no—
1447C22×C4—2121no—
1448C22×C4—2121no—
1449C22×C4C22×#615711yescharacteristic
1450C4⋊C4—531no—
1451C4⋊C4—531no—
1452C4⋊C4—531no—
1453C4⋊C4—531no—
1454C4⋊C4—531no—
1455C4⋊C4—531no—
1456C4⋊C4—531no—
1457C4⋊C4—531no—
1458C4⋊C4—531no—
1459C4⋊C4—531no—
1460C4⋊C4—531no—
1461C4⋊C4—531no—
1462C4⋊C4—531no—
1463C4⋊C4—531no—
1464C4⋊C4—531no—
1465C4⋊C4—531no—
1466C4⋊C4—531no—
1467C4⋊C4—531no—
1468C4⋊C4—531no—
1469C4⋊C4—531no—
1470C4⋊C4—531no—
1471C4⋊C4—531no—
1472C4⋊C4—531no—
1473C4⋊C4—531no—
1474C4⋊C4—531no—
1475C4⋊C4—531no—
1476C4⋊C4—531no—
1477C4⋊C4—531no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—531no—
1491C4⋊C4—531no—
1492C4⋊C4—531no—
1493C4⋊C4—531no—
1494C4⋊C4—531no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—531no—
1503C4⋊C4—531no—
1504C4⋊C4—531no—
1505C4⋊C4—531no—
1506C4⋊C4—531no—
1507C4⋊C4—531no—
1508C4⋊C4—531no—
1509C4⋊C4—531no—
1510C4⋊C4—1062no—
1511C4⋊C4—1062no—
1512C4⋊C4—1062no—
1513C4⋊C4—1062no—
1514C4⋊C4—1062no—
1515C4⋊C4—2121no—
1516C4⋊C4—2121no—
1517C4⋊C4—2121no—
1518C4⋊C4—2121no—
1519C4⋊C4—2121no—
1520C4⋊C4—2121no—
1521C4⋊C4—2121no—
1522C4⋊C4—2121no—
1523C4⋊C4—2121no—
1524C4⋊C4—2121no—
1525C4⋊C4—2121no—
1526C4⋊C4—2121no—
1527C4⋊C4—2121no—
1528C4⋊C4—2121no—
1529C4⋊C4—2121no—
1530C4⋊C4—2121no—
1531C4⋊C4—2121no—
1532C4⋊C4—2121no—
1533C4⋊C4—2121no—
1534C4⋊C4—2121no—
1535C4⋊C4—2121no—
1536C4⋊C4C22×#615711yescharacteristic
1537C4⋊C4C22×#615711yescharacteristic
1538C4⋊C4C22×#615711yescharacteristic
1539C4⋊C4C22×#615711yescharacteristic
1540C4⋊C4C22×#615711yescharacteristic
1541C4⋊C4C22×#615711yescharacteristic
1542C4⋊C4C22×#615711yescharacteristic
1543C4⋊C4C22×#615711yescharacteristic
1544C4⋊C4C22×#615711yescharacteristic
1545C4⋊C4C22×#615711yescharacteristic
1546C4⋊C4C22×#615711yescharacteristic
1547C4⋊C4C22×#615711yescharacteristic
1548C4⋊C4C22×#615711yescharacteristic
1549C4⋊C4C22×#615711yescharacteristic
1550C4⋊C4C22×#615711yescharacteristic
1551C4⋊C4C22×#615711yescharacteristic
1552C4⋊C4C22×#615711yescharacteristic
1553C4⋊C4C22×#615711yescharacteristic
1554C4⋊C4C22×#615711yescharacteristic
1555C4⋊C4C22×#615711yescharacteristic
1556C22⋊C4—531no—
1557C22⋊C4—531no—
1558C22⋊C4—531no—
1559C22⋊C4—531no—
1560C22⋊C4—531no—
1561C22⋊C4—531no—
1562C22⋊C4—531no—
1563C22⋊C4—531no—
1564C22⋊C4—531no—
1565C22⋊C4—531no—
1566C22⋊C4—531no—
1567C22⋊C4—531no—
1568C22⋊C4—531no—
1569C22⋊C4—531no—
1570C22⋊C4—531no—
1571C22⋊C4—531no—
1572C22⋊C4—531no—
1573C22⋊C4—531no—
1574C22⋊C4—1062no—
1575C22⋊C4—2121no—
1576C22⋊C4—2121no—
1577C22⋊C4—2121no—
1578C22⋊C4—2121no—
1579C22⋊C4—2121no—
1580C22⋊C4C22×#615711yescharacteristic
1581C22⋊C4C22×#615711yescharacteristic
1582C22⋊C4C22×#615711yescharacteristic
1583C22⋊C4C22×#615711yescharacteristic
1584C22⋊C4C22×#615711yescharacteristic
1585C22⋊C4C22×#615711yescharacteristic
1586C42—531no—
1587C42—531no—
1588C42—531no—
1589C42—531no—
1590C42—531no—
1591C42—531no—
1592C42—531no—
1593C42—531no—
1594C42—531no—
1595C42—531no—
1596C42—531no—
1597C42—531no—
1598C42—531no—
1599C42—531no—
1600C42—531no—
1601C42—531no—
1602C42—531no—
1603C42—531no—
1604C42—1062no—
1605C42—1062no—
1606C42—1062no—
1607C42—2121no—
1608C42—2121no—
1609C42—2121no—
1610C42—2121no—
1611C42—2121no—
1612C42—2121no—
1613C42—2121no—
1614C42—2121no—
1615C42—2121no—
1616C42—2121no—
1617C42—2121no—
1618C42—2121no—
1619C42—2121no—
1620C42—2121no—
1621C42—2121no—
1622C42—2121no—
1623C42—2121no—
1624C42—2121no—
1625C42—2121no—
1626C42—2121no—
1627C42—2121no—
1628C42—2121no—
1629C42—2121no—
1630C42C22×#615711yescharacteristic
1631C42C22×#615711yescharacteristic
1632C42C22×#615711yescharacteristic
1633C42C22×#615711yescharacteristic
1634C42C22×#615711yescharacteristic
1635C42C22×#615711yescharacteristic
1636C23—531no—
1637C23—531no—
1638C23—1061no—
1639C23—1061no—
1640C23—1061no—
1641C23—1061no—
1642C23—1061no—
1643C23—1061no—
1644C23C23×#615711yescharacteristic
1645Q8—41no—
1646Q8—41no—
1647Q8—2121no—
1648Q8—2121no—
1649Q8—2121no—
1650Q8—2121no—
1651Q8—2121no—
1652Q8—2121no—
1653C2×C4—41no—
1654C2×C4—532no—
1655C2×C4—532no—
1656C2×C4—531no—
1657C2×C4—531no—
1658C2×C4—531no—
1659C2×C4—531no—
1660C2×C4—531no—
1661C2×C4—531no—
1662C2×C4—531no—
1663C2×C4—531no—
1664C2×C4—531no—
1665C2×C4—531no—
1666C2×C4—531no—
1667C2×C4—531no—
1668C2×C4—531no—
1669C2×C4—531no—
1670C2×C4—1061no—
1671C2×C4—1061no—
1672C2×C4—1061no—
1673C2×C4—1061no—
1674C2×C4—1061no—
1675C2×C4—1061no—
1676C2×C4—1061no—
1677C2×C4—1061no—
1678C2×C4—1061no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—1061no—
1685C2×C4—1061no—
1686C2×C4—1061no—
1687C2×C4—1061no—
1688C2×C4—1061no—
1689C2×C4—1061no—
1690C2×C4—1061no—
1691C2×C4—1061no—
1692C2×C4—1061no—
1693C2×C4—1061no—
1694C2×C4—1061no—
1695C2×C4—1061no—
1696C2×C4—1061no—
1697C2×C4—1061no—
1698C2×C4—1061no—
1699C2×C4—1061no—
1700C2×C4—1061no—
1701C2×C4—1061no—
1702C2×C4—1061no—
1703C2×C4—1061no—
1704C2×C4—1061no—
1705C2×C4—1061no—
1706C2×C4—1061no—
1707C2×C4—1061no—
1708C2×C4—1061no—
1709C2×C4—1061no—
1710C2×C4—1061no—
1711C2×C4—1061no—
1712C2×C4—1061no—
1713C2×C4—1061no—
1714C2×C4—1061no—
1715C2×C4—1061no—
1716C2×C4—1061no—
1717C2×C4—1061no—
1718C2×C4—1061no—
1719C2×C4—1061no—
1720C2×C4—1061no—
1721C2×C4—1061no—
1722C2×C4—1061no—
1723C2×C4—1061no—
1724C2×C4—1061no—
1725C2×C4—1061no—
1726C2×C4—1061no—
1727C2×C4—1061no—
1728C2×C4—1061no—
1729C2×C4—1061no—
1730C2×C4—1061no—
1731C2×C4—1061no—
1732C2×C4—1061no—
1733C2×C4—1061no—
1734C2×C4—1061no—
1735C2×C4—1061no—
1736C2×C4—1061no—
1737C2×C4—1061no—
1738C2×C4—1061no—
1739C2×C4—1061no—
1740C2×C4—1061no—
1741C2×C4—1061no—
1742C2×C4—1061no—
1743C2×C4—1061no—
1744C2×C4—4242no—
1745C2×C4—4242no—
1746C2×C4—2121no—
1747C2×C4—2121no—
1748C2×C4—2121no—
1749C2×C4C23×#615711yescharacteristic
1750C2×C4C23×#615711yescharacteristic
1751C2×C4C23×#615711yescharacteristic
1752C2×C4C23×#615711yescharacteristic
1753C2×C4C23×#615711yescharacteristic
1754C2×C4C23×#615711yescharacteristic
1755C2×C4C23×#615711yescharacteristic
1756C2×C4C23×#615711yescharacteristic
1757C2×C4C23×#615711yescharacteristic
1758C2×C4C23×#615711yescharacteristic
1759C2×C4C23×#615711yescharacteristic
1760C2×C4C23×#615711yescharacteristic
1761C2×C4C23×#615711yescharacteristic
1762C2×C4C23×#615711yescharacteristic
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—531no—
1767C22—531no—
1768C22—531no—
1769C22—531no—
1770C22—531no—
1771C22—531no—
1772C22—1061no—
1773C22—1061no—
1774C22—1061no—
1775C22—2121no—
1776C22—2121no—
1777C22—2121no—
1778C22—2121no—
1779C22C24×#615711yescharacteristic
1780C4—21no—
1781C4—21no—
1782C4—21no—
1783C4—21no—
1784C4—21no—
1785C4—21no—
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—1062no—
1795C4—1062no—
1796C4—1061no—
1797C4—1061no—
1798C4—1061no—
1799C4—1061no—
1800C4—1061no—
1801C4—1061no—
1802C4—1061no—
1803C4—1061no—
1804C4—1061no—
1805C4—1061no—
1806C4—1061no—
1807C4—1061no—
1808C4—1061no—
1809C4—1061no—
1810C4—2121no—
1811C4—2121no—
1812C4—2121no—
1813C4—2121no—
1814C4—2121no—
1815C4—2121no—
1816C4—2121no—
1817C4—2121no—
1818C4—2121no—
1819C4—2121no—
1820C4—2121no—
1821C4—2121no—
1822C4—2121no—
1823C4—2121no—
1824C2—41no—
1825C2—531no—
1826C2—531no—
1827C2—531no—
1828C2—531no—
1829C2—2121no—
1830C2#2029169511yescharacteristic
1831C22−1+4×#615711yescharacteristic
1832C22−1+4×#615711yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6157
commutator, socleC22×C53C24×C4
FittingC53×#541C4
prime radicalC23×D53C24
cosocleC22×D53C25
hypercenter#541#6157
hypocenterC53#34445
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #541

Complements

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

NH ≅ G/Ntype
2. #20291261C2semidirect
3. #20291260C2semidirect
8. #20291250C2semidirect
9. #20291249C2semidirect
10. #20291249C2semidirect
11. #20291248C2semidirect
13. #20291235C2semidirect
14. #20291234C2semidirect
17. #20291215C2semidirect
18. #20291215C2semidirect
19. #20291215C2semidirect
20. #20291215C2semidirect
25. #20291209C2semidirect
27. #20291199C2semidirect
28. #125×#6157C2semidirect
30. #20291174C2semidirect
172. #16811236C4semidirect
173. #16811235C4semidirect
174. #16811234C4semidirect
175. #16811233C4semidirect
176. #16811233C4semidirect
177. #16811232C4semidirect
178. #16811232C4semidirect
179. #16811232C4semidirect
180. #16811232C4semidirect
181. #16811231C4semidirect
182. #16811231C4semidirect
183. #16811230C4semidirect
184. #16811230C4semidirect
185. #16811230C4semidirect
186. #16811230C4semidirect
202. C53×#541C4semidirect
326. #13133217C2×C4semidirect
327. #13133216C2×C4semidirect
328. #13133216C2×C4semidirect
329. #13133216C2×C4semidirect
330. #13133216C2×C4semidirect
331. #13133215C2×C4semidirect
332. #13133215C2×C4semidirect
361. #13133209C2×C4semidirect
362. #13133209C2×C4semidirect
363. #13133209C2×C4semidirect
364. #13133209C2×C4semidirect
365. #13133209C2×C4semidirect
366. #13133208C2×C4semidirect
367. #13133208C2×C4semidirect
368. #13133208C2×C4semidirect
369. #13133208C2×C4semidirect
370. #13133208C2×C4semidirect
371. #13133208C2×C4semidirect
372. #13133208C2×C4semidirect
373. #13133208C2×C4semidirect
374. #13133208C2×C4semidirect
375. #13133208C2×C4semidirect
376. #13133207C2×C4semidirect
377. #13133207C2×C4semidirect
378. #13133207C2×C4semidirect
379. #13133207C2×C4semidirect
380. #13133207C2×C4semidirect
381. #13133207C2×C4semidirect
382. #13133207C2×C4semidirect
383. #13133207C2×C4semidirect
384. #13133207C2×C4semidirect
385. #13133207C2×C4semidirect
386. #13133207C2×C4semidirect
387. #13133207C2×C4semidirect
388. #13133207C2×C4semidirect
389. #13133207C2×C4semidirect
390. #13133207C2×C4semidirect
391. #13133207C2×C4semidirect
392. #13133207C2×C4semidirect
393. #13133207C2×C4semidirect
394. #13133207C2×C4semidirect
395. #13133207C2×C4semidirect
410. Q8×Dic53C2×C4semidirect
411. Q8×Dic53C2×C4semidirect
412. C4×Dic106C2×C4semidirect
413. C4×Dic106C2×C4semidirect
414. C4×Dic106C2×C4semidirect
415. C4×Dic106C2×C4semidirect
416. C4×Dic106C2×C4semidirect
417. C4×Dic106C2×C4semidirect
418. #13133182C2×C4semidirect
419. #13133182C2×C4semidirect
420. #13133182C2×C4semidirect
421. #13133182C2×C4semidirect
422. #13133182C2×C4semidirect
423. #13133182C2×C4semidirect
463. C4⋊Q8×C53C2×C4semidirect
468. #125×C53C2×C4semidirect
469. #125×C53C2×C4semidirect
470. #125×C53C2×C4semidirect
471. #125×C53C2×C4semidirect
472. #125×C53C2×C4semidirect
475. C4×Q8×C53C2×C4semidirect
476. C4×Q8×C53C2×C4semidirect
963. #541#6157semidirect
1119. C53#34445semidirect
1132. C4⋊Q8C2×#6157semidirect
1200. #125C2×#6157semidirect
1201. #125C2×#6157semidirect
1202. #125C2×#6157semidirect
1203. #125C2×#6157semidirect
1204. #125C2×#6157semidirect
1235. C4×Q8C2×#6157semidirect
1236. C4×Q8C2×#6157semidirect

Maximal subgroups

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

subgroupindex
#202912622
#202912612
#202912602
#202912572
#202912522
#202912502
#202912492
#202912482
#202912472
#202912352
#202912342
#202912262
#202912222
#202912152
#202912132
#202912112
#202912092
#202912082
#202911992
#125×#61572
#126×#61572
#202911742
#541×D532
#3444553