Finite Group Databasebeta

← #14918301

Subgroups — #14918301

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623021C211yesmaximal, characteristic
2#13071785C211yesmaximal, characteristic, complemented
3#13071769C211yesmaximal, characteristic, complemented
4#13071769C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071694C211yesmaximal, characteristic, complemented
7#13071630C211yesmaximal, characteristic, complemented
8#13071608C211yesmaximal, characteristic, complemented
9#13071598C211yesmaximal, characteristic, complemented
10#13071595C211yesmaximal, characteristic, complemented
11#13071547C211yesmaximal, characteristic, complemented
12#13071522C211yesmaximal, characteristic, complemented
13#13071463C211yesmaximal, characteristic, complemented
14#13071440C211yesmaximal, characteristic, complemented
15#13071432C211yesmaximal, characteristic, complemented
16#13071423C211yesmaximal, characteristic, complemented
17#13071413C211yesmaximal, characteristic, complemented
18#13071344C211yesmaximal, characteristic, complemented
19#13071320C211yesmaximal, characteristic, complemented
20#13071316C211yesmaximal, characteristic, complemented
21#13071304C211yesmaximal, characteristic, complemented
22#13071282C211yesmaximal, characteristic, complemented
23#13071276C211yesmaximal, characteristic, complemented
24#13071244C211yesmaximal, characteristic, complemented
25#13071243C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071204C211yesmaximal, characteristic, complemented
28#13071115C211yesmaximal, characteristic, complemented
29C2×#10622571C211yesmaximal, characteristic, complemented
30C2×#10622563C211yesmaximal, characteristic, complemented
31C11×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66983C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic
46C22×C4⋊Dic11C2211yescharacteristic, complemented
47C22×C4⋊Dic11C2211yescharacteristic, complemented
48C2×#66945C2211yescharacteristic, complemented
49C2×#66938C2211yescharacteristic
50#10623021C4116yescomplemented
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic
72C11×#381C2211yescharacteristic, complemented
73C11×#380C2211yescharacteristic, complemented
74C11×#379C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622826C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic, complemented
84C2×C11⋊#95C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622600C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic, complemented
94#10622600C2211yescharacteristic, complemented
95#10622600C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622571C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622571C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic, complemented
120#10622568C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622563C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic, complemented
131#10622559C2211yescharacteristic, complemented
132#10622559C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622557C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic, complemented
144#10622552C2211yescharacteristic, complemented
145#10622552C2211yescharacteristic, complemented
146#10622552C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
148C4×C4⋊Dic11C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151#10622546C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153#10622542C2211yescharacteristic, complemented
154#10622542C2211yescharacteristic, complemented
155#10622541C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11—42no—
195C22×C22⋊D11—42no—
196C22×C22⋊D11C2×C418yescomplemented
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11—42no—
205C23×Dic11—42no—
206C23×Dic11—42no—
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C2×#4339—42no—
217C2×#4339—42no—
218C2×#4339C2×C418yescomplemented
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C11×#117—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4—42no—
235C2×C11×C22⋊C4C2×C418yescomplemented
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×C11×C22⋊C4C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254#67006C2×C418yescomplemented
255C2×C22⋊Dic11—42no—
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66983C2×C418yescomplemented
264#66982C2×C418yescomplemented
265C4×C22⋊D11—42no—
266C4×C22⋊D11C2×C418yescomplemented
267C2×(C2×D11)⋊C4—42no—
268C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11—42no—
295C2×C4⋊Dic11—42no—
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
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×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
325#66945—42no—
326#66938C2×C418yescomplemented
327#66937C2×C418yescomplemented
328#66937C2×C418yescomplemented
329#66936C2×C418yescomplemented
330#66935C2×C418yescomplemented
331(C22⋊D11)⋊C4—42no—
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4—42no—
334(C22⋊D11)⋊C4—42no—
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4—42no—
337(C22⋊D11)⋊C4C2×C418yescomplemented
338C22⋊C4×D11—42no—
339C22⋊C4×D11C2×C418yescomplemented
340#66931C2×C418yescomplemented
341C4×D44—42no—
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
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#34456—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—22no—
386C24×C11—22no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11C22×C414yes—
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11C22×C414yes—
414C22×C4×C11C22×C414yes—
415C22×C4×C11C2411yescharacteristic
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
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
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⋊D11—416no—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C2×C22⋊D11C22×C414yes—
446C2×C22⋊D11C22×C414yes—
447C2×C22⋊D11C22×C414yes—
448C2×C22⋊D11C22×C414yes—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—416no—
476C22×Dic11C22×C414yes—
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490#4339—416no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44C22×C414yescomplemented
496C2×D44C22×C414yescomplemented
497C2×C4×D11—22no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
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×D11C22×C414yescomplemented
516C2×C4×D11C22×C414yescomplemented
517C2×C4×D11C22×C414yescomplemented
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—41no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yes—
537C11×C22⋊C4C22×C414yes—
538C11×C22⋊C4C22×C414yes—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C42×C11—41no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11C22×C414yes—
548C22⋊Dic11C22×C414yes—
549C22⋊Dic11C22×C414yes—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
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)⋊C4C22×C414yescomplemented
571(C2×D11)⋊C4C22×C414yescomplemented
572(C2×D11)⋊C4C22×C414yescomplemented
573(C2×D11)⋊C4C22×C414yescomplemented
574(C2×D11)⋊C4C22×C414yescomplemented
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
582C4⋊Dic11—41no—
583C4⋊Dic11C22×C414yescomplemented
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C22×C414yescomplemented
593Dic11⋊C4C22×C414yescomplemented
594Dic11⋊C4C22×C414yescomplemented
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11C22×C414yescomplemented
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342D1111yescharacteristic, complemented
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#385—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—28no—
644C23×C11—28no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—44no—
652C23×C11—44no—
653C23×C11—44no—
654C23×C11—44no—
655C23×C11—44no—
656C23×C11C23×C412yes—
657C23×C11C23×C412yes—
658C23×C11C23×C412yes—
659C23×C11H(5,𝔽2)12yes—
660C23×C11H(5,𝔽2)12yes—
661C23×C11H(5,𝔽2)12yes—
662C23×C112−1+412yes—
663C23×C11C2511yescharacteristic
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—28no—
683C22×D11—44no—
684C22×D11—44no—
685C22×D11—82no—
686C22×D11—82no—
687C22×D11—82no—
688C22×D11—82no—
689C22×D11C23×C412yes—
690C22×D11C23×C412yes—
691C22×D11C23×C412yes—
692C2×C4×C11—28no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
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—44no—
726C2×C4×C11—82no—
727C2×C4×C11—82no—
728C2×C4×C11C23×C412yes—
729C2×C4×C11C23×C412yes—
730C2×C4×C11C23×C412yes—
731C2×C4×C11C23×C412yes—
732C22⋊D11—28no—
733C22⋊D11—28no—
734C22⋊D11—28no—
735C22⋊D11—28no—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
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—44no—
773C2×Dic11—44no—
774C2×Dic11—44no—
775C2×Dic11—44no—
776C2×Dic11—44no—
777C2×Dic11—44no—
778C2×Dic11—44no—
779C2×Dic11—82no—
780C2×Dic11—82no—
781C2×Dic11C23×C412yes—
782C2×Dic11C23×C412yes—
783C2×Dic11C23×C412yes—
784C2×Dic11C23×C412yes—
785C2×Dic11C23×C412yes—
786C2×Dic11H(5,𝔽2)12yes—
787D44—44no—
788D44—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—82no—
793C4×D11—82no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4—111no—
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×#117—111no—
821C2×#117C2×D1111yescharacteristic, complemented
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4C2×D1111yescharacteristic
830C22×C22⋊C4C2×D1111yescharacteristic
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388C2×D1111yescharacteristic, complemented
860#388C2×D1111yescharacteristic, complemented
861#388C2×D1111yescharacteristic, complemented
862#388C2×D1111yescharacteristic, complemented
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385C2×D1111yescharacteristic
916#385C2×D1111yescharacteristic
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381C2×D1111yescharacteristic, complemented
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380C2×D1111yescharacteristic, complemented
932#379—111no—
933#379C2×D1111yescharacteristic
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4C2×D1111yescharacteristic
946C4×C22⋊C4C2×D1111yescharacteristic
947C4×C22⋊C4C2×D1111yescharacteristic, complemented
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95—111no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—416no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11#51814yes—
974C22×C11#52014yes—
975C22×C11C24×C411yescharacteristic
976C22×C11C2×H(5,𝔽2)11yescharacteristic
977C22×C11C2×H(5,𝔽2)11yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11C2×H(5,𝔽2)11yescharacteristic
980C22×C11C2×2−1+411yescharacteristic
981C22×C11#58511yescharacteristic
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—88no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C25C22×D1111yescharacteristic
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—118no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—442no—
1046C22×D4—442no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—442no—
1064C23×C4—442no—
1065C23×C4—442no—
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8—118no—
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120—118no—
1079C4×D4—118no—
1080C4×D4—118no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—42no—
1090#117—442no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—442no—
1112C2×C4⋊C4—442no—
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—118no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
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—442no—
1152C2×C22⋊C4—442no—
1153C2×C22⋊C4—442no—
1154C2×C22⋊C4—442no—
1155C2×C22⋊C4C4×D1118yescomplemented
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42C22×D1111yescharacteristic
1180C2×C42C22×D1111yescharacteristic
1181C2×C42C22×D1111yescharacteristic
1182C2×C42C22×D1111yescharacteristic
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—24no—
1225C2×C11—42no—
1226C2×C11C2×#51811yescharacteristic
1227C2×C11C2×#52011yescharacteristic
1228C2×C11C4×H(5,𝔽2)11yescharacteristic
1229C2×C11#353211yescharacteristic
1230C2×C11#353411yescharacteristic
1231C2×C11#353511yescharacteristic
1232C2×C11#353611yescharacteristic
1233D11—42no—
1234D11—42no—
1235D11—42no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—41no—
1241C24—41no—
1242C24—111no—
1243C24—111no—
1244C24—111no—
1245C24—114no—
1246C24—222no—
1247C24—222no—
1248C24—441no—
1249C24—441no—
1250C24—441no—
1251C24—441no—
1252C24C2×C4×D1114yes—
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—114no—
1261C2×D4—114no—
1262C2×D4—114no—
1263C2×D4—114no—
1264C2×D4—114no—
1265C2×D4—114no—
1266C2×D4—114no—
1267C2×D4—114no—
1268C2×D4—114no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—441no—
1287C2×D4—4416no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—114no—
1305C22×C4—114no—
1306C22×C4—114no—
1307C22×C4—114no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—4416no—
1360C22×C4C2×C4×D1114yes—
1361C22×C4C2×C4×D1114yes—
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—114no—
1381C4⋊C4—114no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C4⋊C4—441no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—114no—
1412C22⋊C4—114no—
1413C22⋊C4—114no—
1414C22⋊C4—114no—
1415C22⋊C4—114no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4C2×C4×D1114yes—
1441C22⋊C4C2×C4×D1114yes—
1442C22⋊C4C2×C4×D1114yes—
1443C22⋊C4C2×C4×D1114yes—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—114no—
1449C42—222no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—112no—
1480C23—112no—
1481C23—112no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—228no—
1501C23—444no—
1502C23—444no—
1503C23—882no—
1504C23—882no—
1505C23—882no—
1506C23—882no—
1507C23C22×C4×D1112yes—
1508C23C22×C4×D1112yes—
1509C23C22×C4×D1112yes—
1510C23#6703712yes—
1511C23#6704212yes—
1512C23#6704212yes—
1513C23#6704312yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—228no—
1517D4—228no—
1518D4—228no—
1519D4—228no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—882no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4—882no—
1614C2×C4—882no—
1615C2×C4—882no—
1616C2×C4C22×C4×D1112yes—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4C22×C4×D1112yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—416no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—888no—
1662C22#1062305414yes—
1663C22#1062307614yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6704211yescharacteristic
1667C22C2×#6704211yescharacteristic
1668C22C2×#6704311yescharacteristic
1669C22D11×H(5,𝔽2)11yescharacteristic
1670C22#1062345511yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—442no—
1700C2—442no—
1701C2—442no—
1702C2C2×#1062307611yescharacteristic
1703C2C2×#1062305411yescharacteristic
1704C2#1308182011yescharacteristic
1705C2#1308277211yescharacteristic
1706C2#1308280211yescharacteristic
1707C2#1308282111yescharacteristic
1708C2#1308283111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC2×#10623021C2
hypercenter#2342D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071785C2semidirect
3. #13071769C2semidirect
4. #13071769C2semidirect
5. #13071758C2semidirect
6. #13071694C2semidirect
7. #13071630C2semidirect
8. #13071608C2semidirect
9. #13071598C2semidirect
10. #13071595C2semidirect
11. #13071547C2semidirect
12. #13071522C2semidirect
13. #13071463C2semidirect
14. #13071440C2semidirect
15. #13071432C2semidirect
16. #13071423C2semidirect
17. #13071413C2semidirect
18. #13071344C2semidirect
19. #13071320C2semidirect
20. #13071316C2semidirect
21. #13071304C2semidirect
22. #13071282C2semidirect
23. #13071276C2semidirect
24. #13071244C2semidirect
25. #13071243C2semidirect
26. #13071227C2semidirect
27. #13071204C2semidirect
28. #13071115C2semidirect
29. C2×#10622571C2semidirect
30. C2×#10622563C2semidirect
31. C11×#2342C2semidirect
35. C2×C11×#117C22semidirect
46. C22×C4⋊Dic11C22semidirect
47. C22×C4⋊Dic11C22semidirect
48. C2×#66945C22semidirect
50. #10623021C4semidirect
59. C2×(C22⋊D11)⋊C4C22semidirect
60. C2×(C22⋊D11)⋊C4C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
72. C11×#381C22semidirect
73. C11×#380C22semidirect
77. C4×C11×C22⋊C4C22semidirect
83. C2×C11⋊#95C22semidirect
84. C2×C11⋊#95C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622600C22semidirect
92. #10622600C22semidirect
93. #10622600C22semidirect
94. #10622600C22semidirect
95. #10622600C22semidirect
96. #10622591C22semidirect
97. #10622590C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. #10622585C22semidirect
111. #10622571C22semidirect
112. #10622571C22semidirect
113. #10622571C22semidirect
116. #10622570C22semidirect
119. #10622569C22semidirect
125. #10622563C22semidirect
126. #10622563C22semidirect
127. #10622563C22semidirect
128. #10622563C22semidirect
130. #10622559C22semidirect
131. #10622559C22semidirect
132. #10622559C22semidirect
133. #10622558C22semidirect
134. #10622557C22semidirect
138. C22⋊C4×Dic11C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
143. #10622553C22semidirect
144. #10622552C22semidirect
145. #10622552C22semidirect
146. #10622552C22semidirect
147. C4×(C2×D11)⋊C4C22semidirect
148. C4×C4⋊Dic11C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622546C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. #10622542C22semidirect
154. #10622542C22semidirect
155. #10622541C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622280C22semidirect
167. #10622280C22semidirect
168. #10622279C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622277C22semidirect
174. #10622277C22semidirect
175. D11×#95C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
196. C22×C22⋊D11C2×C4semidirect
218. C2×#4339C2×C4semidirect
235. C2×C11×C22⋊C4C2×C4semidirect
254. #67006C2×C4semidirect
263. #66983C2×C4semidirect
264. #66982C2×C4semidirect
266. C4×C22⋊D11C2×C4semidirect
326. #66938C2×C4semidirect
327. #66937C2×C4semidirect
328. #66937C2×C4semidirect
329. #66936C2×C4semidirect
330. #66935C2×C4semidirect
337. (C22⋊D11)⋊C4C2×C4semidirect
339. C22⋊C4×D11C2×C4semidirect
340. #66931C2×C4semidirect
495. C2×D44C22×C4semidirect
496. C2×D44C22×C4semidirect
515. C2×C4×D11C22×C4semidirect
516. C2×C4×D11C22×C4semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
570. (C2×D11)⋊C4C22×C4semidirect
571. (C2×D11)⋊C4C22×C4semidirect
572. (C2×D11)⋊C4C22×C4semidirect
573. (C2×D11)⋊C4C22×C4semidirect
574. (C2×D11)⋊C4C22×C4semidirect
583. C4⋊Dic11C22×C4semidirect
592. Dic11⋊C4C22×C4semidirect
593. Dic11⋊C4C22×C4semidirect
594. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
617. #2342D11semidirect
821. C2×#117C2×D11semidirect
859. #388C2×D11semidirect
860. #388C2×D11semidirect
861. #388C2×D11semidirect
862. #388C2×D11semidirect
922. #381C2×D11semidirect
931. #380C2×D11semidirect
947. C4×C22⋊C4C2×D11semidirect
1155. C2×C22⋊C4C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106230212
#130717852
#130717692
#130717582
#130716942
#130716302
#130716082
#130715982
#130715952
#130715472
#130715222
#130714632
#130714402
#130714322
#130714232
#130714132
#130713442
#130713202
#130713162
#130713042
#130712822
#130712762
#130712442
#130712432
#130712272
#130712042
#130711152
C2×#106225712
C2×#106225632
C11×#23422
#3445611