Finite Group Databasebeta

← #14917219

Subgroups — #14917219

Order 2816.

2766 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623205C211yesmaximal, characteristic
2#13071792C211yesmaximal, characteristic, complemented
3#13071791C211yesmaximal, characteristic, complemented
4#13071756C211yesmaximal, characteristic, complemented
5#13071756C211yesmaximal, characteristic, complemented
6#13071680C211yesmaximal, characteristic, complemented
7#13071679C211yesmaximal, characteristic, complemented
8#13071655C211yesmaximal, characteristic, complemented
9#13071649C211yesmaximal, characteristic, complemented
10#13071635C211yesmaximal, characteristic, complemented
11#13071629C211yesmaximal, characteristic, complemented
12#13071598C211yesmaximal, characteristic, complemented
13#13071592C211yesmaximal, characteristic, complemented
14#13071510C211yesmaximal, characteristic, complemented
15#13071504C211yesmaximal, characteristic, complemented
16#13071434C211yesmaximal, characteristic, complemented
17#13071434C211yesmaximal, characteristic, complemented
18#13071431C211yesmaximal, characteristic, complemented
19#13071428C211yesmaximal, characteristic, complemented
20#13071428C211yesmaximal, characteristic, complemented
21#13071308C211yesmaximal, characteristic, complemented
22#13071304C211yesmaximal, characteristic, complemented
23#13071278C211yesmaximal, characteristic, complemented
24#13071276C211yesmaximal, characteristic, complemented
25#13071273C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071207C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29C4×#66937C211yesmaximal, characteristic, complemented
30#13071105C211yesmaximal, characteristic, complemented
31C11×#2337C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#66993C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2211yescharacteristic, complemented
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43#10623205C4116yescomplemented
44C2×#66946C2211yescharacteristic, complemented
45C2×#66946C2211yescharacteristic, complemented
46C2×#66945C2211yescharacteristic, complemented
47C2×C4⋊C4×D11C2211yescharacteristic, complemented
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66937C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×#66927C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic, complemented
64C2×C4×D44C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic
66C2×#66925C2211yescharacteristic, complemented
67C2×C42×D11C2211yescharacteristic, complemented
68C11×#391C2211yescharacteristic, complemented
69C11×#391C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#388C2211yescharacteristic, complemented
72C11×#388C2211yescharacteristic, complemented
73C11×#388C2211yescharacteristic, complemented
74C11×#386C2211yescharacteristic
75C11×#386C2211yescharacteristic
76C11×#385C2211yescharacteristic, complemented
77C11×#385C2211yescharacteristic, complemented
78C11×#383C2211yescharacteristic, complemented
79C4×C11×C4⋊C4C2211yescharacteristic, complemented
80C4×C11×C22⋊C4C2211yescharacteristic, complemented
81C4×C11×C22⋊C4C2211yescharacteristic, complemented
82#10622843C2211yescharacteristic, complemented
83#10622843C2211yescharacteristic, complemented
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622601C2211yescharacteristic
95#10622601C2211yescharacteristic
96#10622601C2211yescharacteristic, complemented
97#10622601C2211yescharacteristic, complemented
98#10622585C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic, complemented
101#10622571C2211yescharacteristic, complemented
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622570C2211yescharacteristic, complemented
110#10622569C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic, complemented
112#10622569C2211yescharacteristic, complemented
113#10622569C2211yescharacteristic, complemented
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622564C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622563C2211yescharacteristic, complemented
123#10622563C2211yescharacteristic, complemented
124C22⋊C4×Dic11C2211yescharacteristic, complemented
125C22⋊C4×Dic11C2211yescharacteristic, complemented
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic, complemented
129#10622553C2211yescharacteristic, complemented
130#10622552C2211yescharacteristic
131#10622552C2211yescharacteristic
132#10622552C2211yescharacteristic, complemented
133#10622552C2211yescharacteristic, complemented
134C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
135C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
136#10622550C2211yescharacteristic, complemented
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138C4×Dic11⋊C4C2211yescharacteristic, complemented
139C4×Dic11⋊C4C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic, complemented
143#10622283C2211yescharacteristic, complemented
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic, complemented
148#10622281C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic, complemented
157#10622279C2211yescharacteristic, complemented
158#10622279C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic, complemented
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C2×#4343—42no—
203C2×#4343—42no—
204C2×#4343C2×C418yescomplemented
205C2×D4×D11—42no—
206C2×D4×D11—42no—
207C2×D4×D11C2×C418yescomplemented
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C11×#124C2×C418yescomplemented
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#67000C2×C418yescomplemented
254#66993C2×C418yescomplemented
255C4×C22⋊D11—42no—
256C4×C22⋊D11—42no—
257C4×C22⋊D11—42no—
258C4×C22⋊D11—42no—
259C2×(C2×D11)⋊C4—42no—
260C2×(C2×D11)⋊C4—42no—
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66946—42no—
327#66946—42no—
328#66945—42no—
329C4⋊C4×D11—42no—
330#66937C2×C418yescomplemented
331#66937C2×C418yescomplemented
332#66937C2×C418yescomplemented
333#66937C2×C418yescomplemented
334#66935C2×C418yescomplemented
335#66935C2×C418yescomplemented
336#66935C2×C418yescomplemented
337#66935C2×C418yescomplemented
338(C22⋊D11)⋊C4—42no—
339(C22⋊D11)⋊C4—42no—
340(C22⋊D11)⋊C4—42no—
341(C22⋊D11)⋊C4—42no—
342C22⋊C4×D11—42no—
343C22⋊C4×D11—42no—
344#66927C2×C418yescomplemented
345C4×D44—42no—
346C4×D44—42no—
347#66925—42no—
348#66925C2×C418yescomplemented
349C42×D11—42no—
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34411—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11C22×C414yes—
398C23×D11C22×C414yes—
399C23×D11C2411yescharacteristic
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×Q8×C11—41no—
405C2×Q8×C11—41no—
406C2×Q8×C11C22×C414yes—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11C22×C414yes—
410C22×C4×C11—22no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C2×C22⋊D11C22×C414yes—
446C2×C22⋊D11C22×C414yes—
447C22×Dic11—22no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464#4343—416no—
465D4×D11—416no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×D44C22×C414yes—
483C2×D44C22×C414yes—
484C2×D44C22×C414yes—
485C2×D44C22×C414yes—
486C2×D44C22×C414yes—
487C2×D44C22×C414yes—
488C2×D44C22×C414yes—
489C2×D44C22×C414yes—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11C22×C414yes—
521C2×C4×D11C22×C414yes—
522C2×C4×D11C22×C414yes—
523C11×C4⋊C4—22no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4C22×C414yes—
534C11×C22⋊C4C22×C414yes—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yes—
537C42×C11—41no—
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11C22×C414yes—
542C22⋊Dic11—22no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4C22×C414yes—
581(C2×D11)⋊C4C22×C414yes—
582(C2×D11)⋊C4C22×C414yes—
583(C2×D11)⋊C4C22×C414yes—
584(C2×D11)⋊C4C22×C414yes—
585(C2×D11)⋊C4C22×C414yes—
586C4⋊Dic11—22no—
587C4⋊Dic11—41no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4C22×C414yes—
599Dic11⋊C4C22×C414yes—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11C22×C414yes—
613C2×#535—111no—
614#2380—111no—
615#2380—111no—
616#2375—111no—
617#2375—111no—
618#2366—111no—
619#2366—111no—
620#2363—111no—
621#2363—111no—
622#2361—111no—
623#2361—111no—
624#2358—111no—
625#2358—111no—
626#2347—111no—
627#2347—111no—
628D4×C22⋊C4—111no—
629D4×C22⋊C4—111no—
630#2337—111no—
631#2337—111no—
632#2337—111no—
633#2337D1111yescharacteristic, complemented
634#2324—111no—
635#2324—111no—
636#2321—111no—
637#2321—111no—
638#2321—111no—
639#2321—111no—
640#2311—111no—
641C4×#121—111no—
642C4×#121—111no—
643#2297—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11C23×C412yes—
657C23×C11C23×C412yes—
658C23×C11C2511yescharacteristic
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—82no—
696C22×D11—82no—
697C22×D11—82no—
698C22×D11—82no—
699C22×D11—82no—
700C22×D11—82no—
701C22×D11—82no—
702C22×D11—82no—
703C22×D11C23×C412yes—
704C22×D11C23×C412yes—
705C22×D11C23×C412yes—
706C22×D11C23×C412yes—
707C22×D11C23×C412yes—
708Q8×C11—44no—
709D4×C11—44no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—82no—
744C2×C4×C11—82no—
745C2×C4×C11C23×C412yes—
746C2×C4×C11C23×C412yes—
747C2×C4×C11C23×C412yes—
748C2×C4×C11C23×C412yes—
749C2×C4×C11C23×C412yes—
750C2×C4×C11H(5,𝔽2)12yes—
751C22⋊D11—28no—
752C22⋊D11—28no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—44no—
756C22⋊D11—44no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—82no—
785C2×Dic11—82no—
786C2×Dic11C23×C412yes—
787C2×Dic11C23×C412yes—
788C2×Dic11C23×C412yes—
789C2×Dic11H(5,𝔽2)12yes—
790C2×Dic11H(5,𝔽2)12yes—
791C2×Dic11H(5,𝔽2)12yes—
792D44—44no—
793D44—44no—
794D44—44no—
795D44—44no—
796D44—44no—
797D44—44no—
798D44—44no—
799D44—44no—
800C4×D11—28no—
801C4×D11—28no—
802C4×D11—28no—
803C4×D11—44no—
804C4×D11—44no—
805C4×D11—82no—
806C4×D11—82no—
807C4×D11—82no—
808C4×D11—82no—
809C4×D11—82no—
810C4×D11—82no—
811C22×#41—111no—
812C23×D4—111no—
813#535—1116no—
814C2×#127—111no—
815C2×#127—111no—
816C2×#124—111no—
817C2×#124C2×D1111yescharacteristic
818C2×#121—111no—
819C2×#121—111no—
820C2×#121—111no—
821C2×#121—111no—
822C2×#120—111no—
823C2×#120—111no—
824C2×#120—111no—
825C2×#120—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×#117—111no—
839C2×#117—111no—
840C2×#117—111no—
841C22×C4⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C42—111no—
847#391—111no—
848#391—111no—
849#391C2×D1111yescharacteristic, complemented
850#391C2×D1111yescharacteristic, complemented
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#390—111no—
865#390—111no—
866#390—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#389—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388C2×D1111yescharacteristic, complemented
892#388C2×D1111yescharacteristic, complemented
893#388C2×D1111yescharacteristic, complemented
894#388C2×D1111yescharacteristic, complemented
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386C2×D1111yescharacteristic
926#386C2×D1111yescharacteristic
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385C2×D1111yescharacteristic, complemented
934#385C2×D1111yescharacteristic, complemented
935#383—111no—
936#383—111no—
937#383—111no—
938#383C2×D1111yescharacteristic, complemented
939#380—111no—
940#380—111no—
941#380—111no—
942#380—111no—
943#379—111no—
944#379—111no—
945#379—111no—
946#379—111no—
947C4×C4⋊C4—111no—
948C4×C4⋊C4—111no—
949C4×C4⋊C4—111no—
950C4×C4⋊C4—111no—
951C4×C4⋊C4—111no—
952C4×C4⋊C4—111no—
953C4×C4⋊C4—111no—
954C4×C4⋊C4C2×D1111yescharacteristic, complemented
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4C2×D1111yescharacteristic, complemented
966C4×C22⋊C4C2×D1111yescharacteristic, complemented
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11C24×C411yescharacteristic
982C22×C11C2×H(5,𝔽2)11yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11C2×H(5,𝔽2)11yescharacteristic
985C22×C11C2×H(5,𝔽2)11yescharacteristic
986C22×C11#58511yescharacteristic
987C22×C11#58511yescharacteristic
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—88no—
1024C2×D11—88no—
1025C4×C11—22no—
1026C4×C11—22no—
1027C4×C11—22no—
1028C4×C11—22no—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038Dic11—22no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11#51814yes—
1049C25—111no—
1050C25—111no—
1051C2×#41—118no—
1052C2×#41—442no—
1053C2×#41—442no—
1054C22×Q8C22×D1111yescharacteristic
1055C22×D4—111no—
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—118no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—442no—
1071C22×D4—442no—
1072C22×D4C22×D1111yescharacteristic
1073C23×C4—111no—
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4C22×D1111yescharacteristic
1087C23×C4C22×D1111yescharacteristic
1088#127—118no—
1089#127—118no—
1090#124—118no—
1091#124C4×D1118yescomplemented
1092#121—118no—
1093#121—118no—
1094#121—118no—
1095#121—118no—
1096#120—118no—
1097#120—118no—
1098#120—118no—
1099#120—118no—
1100C4×D4—442no—
1101C4×D4—442no—
1102C4×D4—442no—
1103C4×D4—442no—
1104C4×D4—442no—
1105C4×D4—442no—
1106C4×D4—442no—
1107C4×D4—442no—
1108C4×D4—442no—
1109C4×D4—442no—
1110C4×D4—442no—
1111C4×D4—442no—
1112#117—118no—
1113#117—442no—
1114#117—442no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—442no—
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—442no—
1179C2×C22⋊C4—442no—
1180C2×C22⋊C4—442no—
1181C2×C22⋊C4—442no—
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—111no—
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—442no—
1206C2×C42C22×D1111yescharacteristic
1207C2×C42C22×D1111yescharacteristic
1208C2×C42C22×D1111yescharacteristic
1209C2×C42C22×D1111yescharacteristic
1210C2×C42C22×D1111yescharacteristic
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243C2×C11—42no—
1244C2×C11—42no—
1245C2×C11C2×#51811yescharacteristic
1246C2×C11C4×H(5,𝔽2)11yescharacteristic
1247C2×C11C4×H(5,𝔽2)11yescharacteristic
1248C2×C11#353711yescharacteristic
1249C2×C11#354011yescharacteristic
1250C2×C11#354611yescharacteristic
1251C2×C11#354611yescharacteristic
1252D11—42no—
1253D11—42no—
1254D11—42no—
1255D11—42no—
1256D11—42no—
1257C24—111no—
1258C24—111no—
1259C24—111no—
1260C24—111no—
1261C24—111no—
1262C24—114no—
1263C24—114no—
1264C24—441no—
1265C24—441no—
1266C24—441no—
1267C24—441no—
1268C24—441no—
1269C24—441no—
1270C24—441no—
1271C24—441no—
1272C24—441no—
1273C24—441no—
1274C24—441no—
1275C24—441no—
1276C24C23×D1111yescharacteristic
1277C24C23×D1111yescharacteristic
1278#41—4416no—
1279C2×Q8—41no—
1280C2×Q8—41no—
1281C2×Q8C2×C4×D1114yes—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—114no—
1285C2×D4—114no—
1286C2×D4—114no—
1287C2×D4—114no—
1288C2×D4—114no—
1289C2×D4—114no—
1290C2×D4—114no—
1291C2×D4—114no—
1292C2×D4—114no—
1293C2×D4—114no—
1294C2×D4—114no—
1295C2×D4—114no—
1296C2×D4—114no—
1297C2×D4—114no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—441no—
1303C2×D4—441no—
1304C2×D4—441no—
1305C2×D4—441no—
1306C2×D4—441no—
1307C2×D4—441no—
1308C2×D4—441no—
1309C2×D4—441no—
1310C2×D4—441no—
1311C2×D4—441no—
1312C2×D4—441no—
1313C2×D4—441no—
1314C2×D4—441no—
1315C2×D4—441no—
1316C2×D4—441no—
1317C2×D4—441no—
1318C2×D4—4416no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4C2×C4×D1114yes—
1328C22×C4—22no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—114no—
1339C22×C4—114no—
1340C22×C4—114no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—111no—
1346C22×C4—111no—
1347C22×C4—111no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4C23×D1111yescharacteristic
1385C22×C4C23×D1111yescharacteristic
1386C22×C4C23×D1111yescharacteristic
1387C22×C4C23×D1111yescharacteristic
1388C22×C4C23×D1111yescharacteristic
1389C22×C4C23×D1111yescharacteristic
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C4⋊C4—22no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—114no—
1402C4⋊C4—114no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C4⋊C4—222no—
1408C4⋊C4—222no—
1409C4⋊C4—222no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C22⋊C4—22no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—114no—
1422C22⋊C4—114no—
1423C22⋊C4—114no—
1424C22⋊C4—114no—
1425C22⋊C4—114no—
1426C22⋊C4—114no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4C2×C4×D1114yes—
1466C22⋊C4C2×C4×D1114yes—
1467C22⋊C4C2×C4×D1114yes—
1468C22⋊C4C2×C4×D1114yes—
1469C42—41no—
1470C42—41no—
1471C42—41no—
1472C42—41no—
1473C42—114no—
1474C42—222no—
1475C42—222no—
1476C42—222no—
1477C42—222no—
1478C42—441no—
1479C42—441no—
1480C42—441no—
1481C42—441no—
1482C42—441no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42C2×C4×D1114yes—
1487C11#3441111yescharacteristic, complemented, Sylow
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—112no—
1501C23—112no—
1502C23—112no—
1503C23—112no—
1504C23—112no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—444no—
1536C23—444no—
1537C23—444no—
1538C23—444no—
1539C23—444no—
1540C23—444no—
1541C23—882no—
1542C23—882no—
1543C23—882no—
1544C23—882no—
1545C23—882no—
1546C23—882no—
1547C23—882no—
1548C23—882no—
1549C23C22×C4×D1112yes—
1550C23C22×C4×D1112yes—
1551C23C24×D1111yescharacteristic
1552Q8—44no—
1553D4—44no—
1554D4—228no—
1555D4—228no—
1556D4—444no—
1557D4—444no—
1558D4—444no—
1559D4—444no—
1560D4—444no—
1561D4—444no—
1562D4—444no—
1563D4—444no—
1564D4—444no—
1565D4—444no—
1566D4—444no—
1567D4—444no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—112no—
1604C2×C4—112no—
1605C2×C4—112no—
1606C2×C4—112no—
1607C2×C4—112no—
1608C2×C4—112no—
1609C2×C4—228no—
1610C2×C4—228no—
1611C2×C4—228no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—444no—
1640C2×C4—444no—
1641C2×C4—882no—
1642C2×C4—882no—
1643C2×C4—882no—
1644C2×C4—882no—
1645C2×C4—882no—
1646C2×C4—882no—
1647C2×C4—882no—
1648C2×C4—882no—
1649C2×C4C22×C4×D1112yes—
1650C2×C4C22×C4×D1112yes—
1651C2×C4C22×C4×D1112yes—
1652C2×C4C22×C4×D1112yes—
1653C2×C4C22×C4×D1112yes—
1654C2×C4#6704212yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—222no—
1670C22—222no—
1671C22—222no—
1672C22—222no—
1673C22—222no—
1674C22—222no—
1675C22—222no—
1676C22—222no—
1677C22—222no—
1678C22—222no—
1679C22—222no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
1684C22—441no—
1685C22—441no—
1686C22—441no—
1687C22—441no—
1688C22—441no—
1689C22—441no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—888no—
1705C22—888no—
1706C22C23×C4×D1111yescharacteristic
1707C22C2×#6704211yescharacteristic
1708C22#1062345311yescharacteristic
1709C22D11×H(5,𝔽2)11yescharacteristic
1710C22D11×H(5,𝔽2)11yescharacteristic
1711C22D11×H(5,𝔽2)11yescharacteristic
1712C22#1062345711yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—114no—
1727C4—222no—
1728C4—222no—
1729C4—222no—
1730C4—441no—
1731C4—441no—
1732C4—441no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C2—42no—
1738C2—42no—
1739C2—442no—
1740C2—442no—
1741C2—442no—
1742C2—442no—
1743C2—442no—
1744C2D11×#51811yescharacteristic
1745C2#1308182211yescharacteristic
1746C2C4×#6704211yescharacteristic
1747C2#1308284811yescharacteristic
1748C2#1308288111yescharacteristic
1749C2#1308298111yescharacteristic
1750C2#1308298511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2337C2
socle, cosocleC23×C11C25
prime radicalC2×#10623205C2
hypercenter#2337D11
hypocenterC11#34411
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #13071792C2semidirect
3. #13071791C2semidirect
4. #13071756C2semidirect
5. #13071756C2semidirect
6. #13071680C2semidirect
7. #13071679C2semidirect
8. #13071655C2semidirect
9. #13071649C2semidirect
10. #13071635C2semidirect
11. #13071629C2semidirect
12. #13071598C2semidirect
13. #13071592C2semidirect
14. #13071510C2semidirect
15. #13071504C2semidirect
16. #13071434C2semidirect
17. #13071434C2semidirect
18. #13071431C2semidirect
19. #13071428C2semidirect
20. #13071428C2semidirect
21. #13071308C2semidirect
22. #13071304C2semidirect
23. #13071278C2semidirect
24. #13071276C2semidirect
25. #13071273C2semidirect
26. #13071269C2semidirect
27. #13071207C2semidirect
28. #13071128C2semidirect
29. C4×#66937C2semidirect
30. #13071105C2semidirect
31. C11×#2337C2semidirect
39. C2×C4×C22⋊D11C22semidirect
40. C2×C4×C22⋊D11C22semidirect
43. #10623205C4semidirect
44. C2×#66946C22semidirect
45. C2×#66946C22semidirect
46. C2×#66945C22semidirect
47. C2×C4⋊C4×D11C22semidirect
58. C2×(C22⋊D11)⋊C4C22semidirect
59. C2×(C22⋊D11)⋊C4C22semidirect
63. C2×C4×D44C22semidirect
64. C2×C4×D44C22semidirect
66. C2×#66925C22semidirect
67. C2×C42×D11C22semidirect
68. C11×#391C22semidirect
69. C11×#391C22semidirect
70. C11×#388C22semidirect
71. C11×#388C22semidirect
72. C11×#388C22semidirect
73. C11×#388C22semidirect
76. C11×#385C22semidirect
77. C11×#385C22semidirect
78. C11×#383C22semidirect
79. C4×C11×C4⋊C4C22semidirect
80. C4×C11×C22⋊C4C22semidirect
81. C4×C11×C22⋊C4C22semidirect
82. #10622843C22semidirect
83. #10622843C22semidirect
86. #10622826C22semidirect
87. #10622826C22semidirect
90. #10622603C22semidirect
91. #10622603C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
96. #10622601C22semidirect
97. #10622601C22semidirect
98. #10622585C22semidirect
99. #10622585C22semidirect
100. #10622571C22semidirect
101. #10622571C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
109. #10622570C22semidirect
110. #10622569C22semidirect
111. #10622569C22semidirect
112. #10622569C22semidirect
113. #10622569C22semidirect
118. #10622564C22semidirect
119. #10622564C22semidirect
120. #10622564C22semidirect
121. #10622564C22semidirect
122. #10622563C22semidirect
123. #10622563C22semidirect
124. C22⋊C4×Dic11C22semidirect
125. C22⋊C4×Dic11C22semidirect
128. #10622553C22semidirect
129. #10622553C22semidirect
132. #10622552C22semidirect
133. #10622552C22semidirect
134. C4×(C2×D11)⋊C4C22semidirect
135. C4×(C2×D11)⋊C4C22semidirect
136. #10622550C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. C4×Dic11⋊C4C22semidirect
139. C4×Dic11⋊C4C22semidirect
142. #10622283C22semidirect
143. #10622283C22semidirect
146. #10622282C22semidirect
147. #10622282C22semidirect
148. #10622281C22semidirect
149. #10622281C22semidirect
152. #10622280C22semidirect
153. #10622280C22semidirect
156. #10622279C22semidirect
157. #10622279C22semidirect
158. #10622279C22semidirect
159. #10622279C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
204. C2×#4343C2×C4semidirect
207. C2×D4×D11C2×C4semidirect
227. C11×#124C2×C4semidirect
253. #67000C2×C4semidirect
254. #66993C2×C4semidirect
330. #66937C2×C4semidirect
331. #66937C2×C4semidirect
332. #66937C2×C4semidirect
333. #66937C2×C4semidirect
334. #66935C2×C4semidirect
335. #66935C2×C4semidirect
336. #66935C2×C4semidirect
337. #66935C2×C4semidirect
344. #66927C2×C4semidirect
348. #66925C2×C4semidirect
633. #2337D11semidirect
849. #391C2×D11semidirect
850. #391C2×D11semidirect
891. #388C2×D11semidirect
892. #388C2×D11semidirect
893. #388C2×D11semidirect
894. #388C2×D11semidirect
933. #385C2×D11semidirect
934. #385C2×D11semidirect
938. #383C2×D11semidirect
954. C4×C4⋊C4C2×D11semidirect
965. C4×C22⋊C4C2×D11semidirect
966. C4×C22⋊C4C2×D11semidirect
1091. #124C4×D11semidirect
1487. C11#34411semidirect

Maximal subgroups

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

subgroupindex
C2×#106232052
#130717922
#130717912
#130717562
#130716802
#130716792
#130716552
#130716492
#130716352
#130716292
#130715982
#130715922
#130715102
#130715042
#130714342
#130714312
#130714282
#130713082
#130713042
#130712782
#130712762
#130712732
#130712692
#130712072
#130711282
C4×#669372
#130711052
C11×#23372
#3441111