Finite Group Databasebeta

← #14917293

Subgroups — #14917293

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×#10623123C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071785C211yesmaximal, characteristic, complemented
4#13071756C211yesmaximal, characteristic, complemented
5#13071755C211yesmaximal, characteristic, complemented
6#13071724C211yesmaximal, characteristic, complemented
7#13071723C211yesmaximal, characteristic, complemented
8#13071655C211yesmaximal, characteristic, complemented
9#13071649C211yesmaximal, characteristic, complemented
10#13071635C211yesmaximal, characteristic, complemented
11#13071629C211yesmaximal, characteristic, complemented
12#13071595C211yesmaximal, characteristic, complemented
13#13071594C211yesmaximal, characteristic, complemented
14#13071498C211yesmaximal, characteristic, complemented
15#13071498C211yesmaximal, characteristic, complemented
16C22⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
17#13071432C211yesmaximal, characteristic, complemented
18#13071340C211yesmaximal, characteristic, complemented
19#13071338C211yesmaximal, characteristic, complemented
20#13071337C211yesmaximal, characteristic, complemented
21#13071337C211yesmaximal, characteristic, complemented
22#13071306C211yesmaximal, characteristic, complemented
23#13071302C211yesmaximal, characteristic, complemented
24#13071277C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071272C211yesmaximal, characteristic, complemented
27#13071206C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C4×#66992C211yesmaximal, characteristic, complemented
30#13071101C211yesmaximal, characteristic, complemented
31C11×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66993C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic, complemented
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C22×C4×Dic11C2211yescharacteristic, complemented
50#10623123C4116yescomplemented
51C2×#66946C2211yescharacteristic, complemented
52C2×C4⋊C4×D11C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×#66930C2211yescharacteristic
65C2×#66930C2211yescharacteristic, complemented
66C2×C4×D44C2211yescharacteristic, complemented
67C2×#66925C2211yescharacteristic, complemented
68C11×#390C2211yescharacteristic
69C11×#390C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic
71C11×#388C2211yescharacteristic
72C11×#388C2211yescharacteristic, complemented
73C11×#388C2211yescharacteristic, complemented
74C11×#386C2211yescharacteristic
75C11×#386C2211yescharacteristic, complemented
76C11×#386C2211yescharacteristic, complemented
77C11×#385C2211yescharacteristic, complemented
78C11×#379C2211yescharacteristic
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80#10622860C2211yescharacteristic
81#10622834C2211yescharacteristic
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic, complemented
85#10622833C2211yescharacteristic, complemented
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic, complemented
89#10622826C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622601C2211yescharacteristic, complemented
98#10622590C2211yescharacteristic, complemented
99#10622590C2211yescharacteristic, complemented
100#10622587C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic, complemented
107#10622571C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic, complemented
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622563C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic, complemented
145#10622557C2211yescharacteristic, complemented
146#10622555C2211yescharacteristic
147#10622555C2211yescharacteristic
148#10622555C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622553C2211yescharacteristic, complemented
156#10622552C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159#10622545C2211yescharacteristic, complemented
160#10622545C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622542C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11—42no—
197C22×C22⋊D11—42no—
198C22×C22⋊D11C2×C418yescomplemented
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C2×#4341—42no—
215C2×#4341—42no—
216C2×#4341C2×C418yescomplemented
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#120C2×C418yescomplemented
228C4×D4×C11—42no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252#67006C2×C418yescomplemented
253C2×C22⋊Dic11—42no—
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270#66993C2×C418yescomplemented
271#66993C2×C418yescomplemented
272#66992C2×C418yescomplemented
273#66992C2×C418yescomplemented
274#66990C2×C418yescomplemented
275D4×Dic11—42no—
276C4×C22⋊D11—42no—
277C4×C22⋊D11—42no—
278C4×C22⋊D11—42no—
279C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×C4×Dic11—42no—
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333#66946—42no—
334C4⋊C4×D11—42no—
335#66938C2×C418yescomplemented
336#66938C2×C418yescomplemented
337#66937C2×C418yescomplemented
338#66937C2×C418yescomplemented
339#66935C2×C418yescomplemented
340(C22⋊D11)⋊C4—42no—
341(C22⋊D11)⋊C4—42no—
342(C22⋊D11)⋊C4—42no—
343(C22⋊D11)⋊C4—42no—
344C22⋊C4×D11—42no—
345C22⋊C4×D11—42no—
346#66930—42no—
347#66930C2×C418yescomplemented
348C4×D44—42no—
349#66925—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#34415—111nomaximal, Sylow
383C24×C11—41no—
384C24×C11—41no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C22×C414yes—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yes—
412C2×D4×C11C22×C414yes—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—416no—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yes—
456C2×C22⋊D11C22×C414yes—
457C2×C22⋊D11C22×C414yes—
458C2×C22⋊D11C22×C414yes—
459C2×C22⋊D11C22×C414yes—
460C2×C22⋊D11C22×C414yes—
461C2×C22⋊D11C22×C414yes—
462C2×C22⋊D11C22×C414yes—
463C2×C22⋊D11C22×C414yes—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11C22×C414yes—
478C22×Dic11C22×C414yes—
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492#4341—416no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44C22×C414yes—
498C2×D44C22×C414yes—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
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×D11C22×C414yes—
520C2×Dic22—41no—
521C2×Dic22—41no—
522C2×Dic22C22×C414yes—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C22⋊C4—22no—
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⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4C22×C414yes—
540C11×C22⋊C4C22×C414yes—
541C11×C22⋊C4C22×C414yes—
542C42×C11—22no—
543C42×C11—41no—
544C42×C11—41no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11C22×C414yes—
559C22⋊Dic11C22×C414yes—
560C22⋊Dic11C22×C414yes—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
580(C2×D11)⋊C4C22×C414yes—
581(C2×D11)⋊C4C22×C414yes—
582(C2×D11)⋊C4C22×C414yes—
583C4⋊Dic11—41no—
584C4⋊Dic11—41no—
585C4⋊Dic11—41no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4C22×C414yes—
597Dic11⋊C4C22×C414yes—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11C22×C414yes—
612C4×Dic11C22×C414yes—
613C2×#535—111no—
614#2379—111no—
615#2379—111no—
616#2375—111no—
617#2375—111no—
618#2372—111no—
619#2372—111no—
620#2363—111no—
621#2363—111no—
622#2361—111no—
623#2361—111no—
624#2358—111no—
625#2358—111no—
626#2346—111no—
627#2346—111no—
628D4×C22⋊C4—111no—
629D4×C22⋊C4—111no—
630#2328—111no—
631#2328—111no—
632#2328—111no—
633#2328—111no—
634#2324—111no—
635#2324—111no—
636#2321—111no—
637#2321—111no—
638#2321—111no—
639#2321D1111yescharacteristic, complemented
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×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—44no—
669C23×C11—44no—
670C23×C11—44no—
671C23×C11—82no—
672C23×C11—82no—
673C23×C11—82no—
674C23×C11—82no—
675C23×C11C23×C412yes—
676C23×C11C23×C412yes—
677C23×C11C23×C412yes—
678C23×C11C23×C412yes—
679C23×C11C2511yescharacteristic
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—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—44no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—82no—
702C22×D11—82no—
703C22×D11—82no—
704C22×D11—82no—
705C22×D11C23×C412yes—
706C22×D11C23×C412yes—
707C22×D11C23×C412yes—
708D4×C11—44no—
709D4×C11—44no—
710D4×C11—44no—
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—44no—
741C2×C4×C11—82no—
742C2×C4×C11—82no—
743C2×C4×C11C23×C412yes—
744C2×C4×C11C23×C412yes—
745C2×C4×C11C23×C412yes—
746C2×C4×C11H(5,𝔽2)12yes—
747C22⋊D11—28no—
748C22⋊D11—28no—
749C22⋊D11—44no—
750C22⋊D11—44no—
751C22⋊D11—44no—
752C22⋊D11—44no—
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—28no—
768C2×Dic11—28no—
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—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—44no—
791C2×Dic11—82no—
792C2×Dic11—82no—
793C2×Dic11C23×C412yes—
794C2×Dic11C23×C412yes—
795C2×Dic11C23×C412yes—
796C2×Dic11C23×C412yes—
797C2×Dic11C23×C412yes—
798C2×Dic11H(5,𝔽2)12yes—
799C2×Dic11H(5,𝔽2)12yes—
800C2×Dic11H(5,𝔽2)12yes—
801D44—44no—
802D44—44no—
803C4×D11—28no—
804C4×D11—82no—
805C4×D11—82no—
806C4×D11—82no—
807C4×D11—82no—
808C4×D11—82no—
809C4×D11—82no—
810Dic22—44no—
811C22×#41—111no—
812C23×D4—111no—
813#535—1116no—
814C2×#127—111no—
815C2×#127—111no—
816C2×#124—111no—
817C2×#124—111no—
818C2×#121—111no—
819C2×#121—111no—
820C2×#121—111no—
821C2×#121—111no—
822C2×#120—111no—
823C2×#120—111no—
824C2×#120—111no—
825C2×#120C2×D1111yescharacteristic
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×D4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
846C22×C42—111no—
847#391—111no—
848#391—111no—
849#391—111no—
850#391—111no—
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#390C2×D1111yescharacteristic
866#390C2×D1111yescharacteristic, complemented
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
892#388C2×D1111yescharacteristic
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#386C2×D1111yescharacteristic
925#386C2×D1111yescharacteristic, complemented
926#386C2×D1111yescharacteristic, complemented
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385C2×D1111yescharacteristic, complemented
935#382—111no—
936#382—111no—
937#382—111no—
938#382—111no—
939#380—111no—
940#380—111no—
941#380—111no—
942#380—111no—
943#379—111no—
944#379—111no—
945#379—111no—
946#379C2×D1111yescharacteristic
947C4×C4⋊C4—111no—
948C4×C4⋊C4—111no—
949C4×C4⋊C4—111no—
950C4×C4⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
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⋊C4C2×D1111yescharacteristic, complemented
963#376—111no—
964#376—111no—
965#376—111no—
966#376—111no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—88no—
996C22×C11C24×C411yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11#58511yescharacteristic
1002C22×C11#58511yescharacteristic
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
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—41no—
1024C2×D11—88no—
1025C4×C11—22no—
1026C4×C11—22no—
1027C4×C11—22no—
1028C4×C11—22no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036Dic11—22no—
1037Dic11—22no—
1038Dic11—22no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11#51814yes—
1049C25—111no—
1050C25C22×D1111yescharacteristic
1051C2×#41—118no—
1052C2×#41—442no—
1053C2×#41—442no—
1054C22×Q8—111no—
1055C22×D4—111no—
1056C22×D4—111no—
1057C22×D4—118no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—442no—
1069C22×D4—442no—
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
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×C4C22×D1111yescharacteristic
1086C23×C4C22×D1111yescharacteristic
1087C23×C4C22×D1111yescharacteristic
1088#127—118no—
1089#127—118no—
1090#124—118no—
1091#124—118no—
1092#121—118no—
1093#121—118no—
1094#121—118no—
1095#121—118no—
1096#120—118no—
1097#120—118no—
1098#120—118no—
1099#120C4×D1118yescomplemented
1100C4×D4—42no—
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—111no—
1130C2×C4⋊C4—442no—
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4—42no—
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—442no—
1174C2×C22⋊C4—442no—
1175C2×C22⋊C4—442no—
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1206C2×C42—111no—
1207C2×C42—442no—
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#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
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×C11—42no—
1246C2×C11—42no—
1247C2×C11C2×#51811yescharacteristic
1248C2×C11C4×H(5,𝔽2)11yescharacteristic
1249C2×C11C4×H(5,𝔽2)11yescharacteristic
1250C2×C11#354211yescharacteristic
1251C2×C11#354211yescharacteristic
1252C2×C11#354911yescharacteristic
1253C2×C11#355111yescharacteristic
1254D11—42no—
1255D11—42no—
1256D11—42no—
1257C24—41no—
1258C24—41no—
1259C24—41no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—111no—
1264C24—111no—
1265C24—111no—
1266C24—114no—
1267C24—441no—
1268C24—441no—
1269C24—441no—
1270C24—441no—
1271C24—441no—
1272C24—441no—
1273C24C2×C4×D1114yes—
1274C24C23×D1111yescharacteristic
1275C24C23×D1111yescharacteristic
1276C24C23×D1111yescharacteristic
1277C24C23×D1111yescharacteristic
1278#41—4416no—
1279C2×Q8—114no—
1280C2×Q8—441no—
1281C2×Q8—441no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
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—114no—
1299C2×D4—114no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—441no—
1305C2×D4—441no—
1306C2×D4—441no—
1307C2×D4—441no—
1308C2×D4—4416no—
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—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4C2×C4×D1114yes—
1326C2×D4C2×C4×D1114yes—
1327C2×D4C2×C4×D1114yes—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—111no—
1338C22×C4—114no—
1339C22×C4—114no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—114no—
1346C22×C4—111no—
1347C22×C4—111no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
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×C4—441no—
1385C22×C4—441no—
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—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—114no—
1401C4⋊C4—114no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—441no—
1407C4⋊C4—441no—
1408C4⋊C4—441no—
1409C4⋊C4—441no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—114no—
1429C22⋊C4—114no—
1430C22⋊C4—114no—
1431C22⋊C4—114no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
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⋊C4—441no—
1466C22⋊C4C2×C4×D1114yes—
1467C22⋊C4C2×C4×D1114yes—
1468C22⋊C4C2×C4×D1114yes—
1469C42—22no—
1470C42—41no—
1471C42—41no—
1472C42—114no—
1473C42—114no—
1474C42—222no—
1475C42—222no—
1476C42—222no—
1477C42—222no—
1478C42—222no—
1479C42—222no—
1480C42—222no—
1481C42—441no—
1482C42—441no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C11#3441511yescharacteristic, 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—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23—82no—
1519C23—112no—
1520C23—112no—
1521C23—112no—
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—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—444no—
1541C23—444no—
1542C23—444no—
1543C23—882no—
1544C23—882no—
1545C23—882no—
1546C23—882no—
1547C23C22×C4×D1112yes—
1548C23C22×C4×D1112yes—
1549C23C22×C4×D1112yes—
1550C23C22×C4×D1112yes—
1551C23C24×D1111yescharacteristic
1552Q8—444no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—228no—
1557D4—228no—
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—44no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—112no—
1601C2×C4—112no—
1602C2×C4—112no—
1603C2×C4—112no—
1604C2×C4—112no—
1605C2×C4—112no—
1606C2×C4—112no—
1607C2×C4—112no—
1608C2×C4—228no—
1609C2×C4—228no—
1610C2×C4—228no—
1611C2×C4—221no—
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—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—444no—
1643C2×C4—882no—
1644C2×C4—882no—
1645C2×C4—882no—
1646C2×C4—882no—
1647C2×C4—882no—
1648C2×C4—882no—
1649C2×C4—882no—
1650C2×C4—882no—
1651C2×C4C22×C4×D1112yes—
1652C2×C4C22×C4×D1112yes—
1653C2×C4C22×C4×D1112yes—
1654C2×C4#6703712yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—88no—
1684C22—222no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—888no—
1706C22C23×C4×D1111yescharacteristic
1707C22C2×#6703711yescharacteristic
1708C22#1062345311yescharacteristic
1709C22D11×H(5,𝔽2)11yescharacteristic
1710C22D11×H(5,𝔽2)11yescharacteristic
1711C22D11×H(5,𝔽2)11yescharacteristic
1712C22#1062345511yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—114no—
1725C4—222no—
1726C4—222no—
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—42no—
1740C2—42no—
1741C2—442no—
1742C2—442no—
1743C2—442no—
1744C2D11×#51811yescharacteristic
1745C2#1308182011yescharacteristic
1746C2C4×#6703711yescharacteristic
1747C2#1308292711yescharacteristic
1748C2#1308293111yescharacteristic
1749C2#1308301911yescharacteristic
1750C2#1308303311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2321C2
socle, cosocleC23×C11C25
prime radicalC2×#10623123C2
hypercenter#2321D11
hypocenterC11#34415
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071785C2semidirect
4. #13071756C2semidirect
5. #13071755C2semidirect
6. #13071724C2semidirect
7. #13071723C2semidirect
8. #13071655C2semidirect
9. #13071649C2semidirect
10. #13071635C2semidirect
11. #13071629C2semidirect
12. #13071595C2semidirect
13. #13071594C2semidirect
14. #13071498C2semidirect
15. #13071498C2semidirect
16. C22⋊C4×C22⋊D11C2semidirect
17. #13071432C2semidirect
18. #13071340C2semidirect
19. #13071338C2semidirect
20. #13071337C2semidirect
21. #13071337C2semidirect
22. #13071306C2semidirect
23. #13071302C2semidirect
24. #13071277C2semidirect
25. #13071275C2semidirect
26. #13071272C2semidirect
27. #13071206C2semidirect
28. #13071126C2semidirect
29. C4×#66992C2semidirect
30. #13071101C2semidirect
31. C11×#2321C2semidirect
35. C2×C4×D4×C11C22semidirect
44. C2×D4×Dic11C22semidirect
47. C2×C4×C22⋊D11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C22×C4×Dic11C22semidirect
50. #10623123C4semidirect
51. C2×#66946C22semidirect
52. C2×C4⋊C4×D11C22semidirect
60. C2×(C22⋊D11)⋊C4C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×#66930C22semidirect
66. C2×C4×D44C22semidirect
67. C2×#66925C22semidirect
69. C11×#390C22semidirect
72. C11×#388C22semidirect
73. C11×#388C22semidirect
75. C11×#386C22semidirect
76. C11×#386C22semidirect
77. C11×#385C22semidirect
79. C4×C11×C22⋊C4C22semidirect
82. #10622834C22semidirect
84. #10622833C22semidirect
85. #10622833C22semidirect
88. #10622826C22semidirect
89. #10622826C22semidirect
90. #10622826C22semidirect
91. #10622823C22semidirect
92. C4×C22⋊Dic11C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622602C22semidirect
96. #10622602C22semidirect
97. #10622601C22semidirect
98. #10622590C22semidirect
99. #10622590C22semidirect
100. #10622587C22semidirect
101. #10622585C22semidirect
102. #10622585C22semidirect
105. #10622571C22semidirect
106. #10622571C22semidirect
107. #10622571C22semidirect
114. #10622570C22semidirect
115. #10622570C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
124. #10622569C22semidirect
125. #10622569C22semidirect
126. #10622569C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622563C22semidirect
137. #10622559C22semidirect
140. #10622558C22semidirect
141. #10622558C22semidirect
144. #10622557C22semidirect
145. #10622557C22semidirect
148. #10622555C22semidirect
149. #10622555C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C22⋊C4×Dic11C22semidirect
154. #10622553C22semidirect
155. #10622553C22semidirect
156. #10622552C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. #10622545C22semidirect
160. #10622545C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622542C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
172. #10622279C22semidirect
173. #10622279C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622263C22semidirect
179. #10622263C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622261C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
198. C22×C22⋊D11C2×C4semidirect
216. C2×#4341C2×C4semidirect
227. C11×#120C2×C4semidirect
252. #67006C2×C4semidirect
270. #66993C2×C4semidirect
271. #66993C2×C4semidirect
272. #66992C2×C4semidirect
273. #66992C2×C4semidirect
274. #66990C2×C4semidirect
335. #66938C2×C4semidirect
336. #66938C2×C4semidirect
337. #66937C2×C4semidirect
338. #66937C2×C4semidirect
339. #66935C2×C4semidirect
347. #66930C2×C4semidirect
639. #2321D11semidirect
837. C2×C4×D4C2×D11semidirect
866. #390C2×D11semidirect
893. #388C2×D11semidirect
894. #388C2×D11semidirect
925. #386C2×D11semidirect
926. #386C2×D11semidirect
934. #385C2×D11semidirect
962. C4×C22⋊C4C2×D11semidirect
1099. #120C4×D11semidirect
1487. C11#34415semidirect

Maximal subgroups

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

subgroupindex
C2×#106231232
#130717892
#130717852
#130717562
#130717552
#130717242
#130717232
#130716552
#130716492
#130716352
#130716292
#130715952
#130715942
#130714982
C22⋊C4×C22⋊D112
#130714322
#130713402
#130713382
#130713372
#130713062
#130713022
#130712772
#130712752
#130712722
#130712062
#130711262
C4×#669922
#130711012
C11×#23212
#3441511