Finite Group Databasebeta

← #14917144

Subgroups — #14917144

Order 2816.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623024C211yesmaximal, characteristic
2#13071775C211yesmaximal, characteristic, complemented
3#13071770C211yesmaximal, characteristic, complemented
4#13071762C211yesmaximal, characteristic, complemented
5#13071756C211yesmaximal, characteristic, complemented
6#13071746C211yesmaximal, characteristic, complemented
7#13071654C211yesmaximal, characteristic, complemented
8#13071652C211yesmaximal, characteristic, complemented
9#13071610C211yesmaximal, characteristic, complemented
10#13071610C211yesmaximal, characteristic, complemented
11#13071606C211yesmaximal, characteristic, complemented
12#13071606C211yesmaximal, characteristic, complemented
13#13071594C211yesmaximal, characteristic, complemented
14#13071465C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
16#13071432C211yesmaximal, characteristic, complemented
17#13071411C211yesmaximal, characteristic, complemented
18#13071399C211yesmaximal, characteristic, complemented
19#13071381C211yesmaximal, characteristic, complemented
20#13071378C211yesmaximal, characteristic, complemented
21#13071309C211yesmaximal, characteristic, complemented
22#13071305C211yesmaximal, characteristic, complemented
23#13071278C211yesmaximal, characteristic, complemented
24#13071276C211yesmaximal, characteristic, complemented
25#13071273C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071197C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29#13071117C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic, complemented
35C2×C11×#117C2211yescharacteristic, complemented
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66983C2211yescharacteristic
41C2×#66983C2211yescharacteristic
42C2×#66983C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
46C2×#66979C2211yescharacteristic, complemented
47C2×#66946C2211yescharacteristic, complemented
48C2×#66946C2211yescharacteristic, complemented
49#10623024C4116yescomplemented
50C2×#66939C2211yescharacteristic
51C2×#66939C2211yescharacteristic
52C2×#66939C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic, complemented
61C2×C22⋊C4×D11C2211yescharacteristic, complemented
62C2×#66930C2211yescharacteristic, complemented
63C2×#66930C2211yescharacteristic, complemented
64C2×C4×D44C2211yescharacteristic, complemented
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic, complemented
71C11×#385C2211yescharacteristic, complemented
72C11×#381C2211yescharacteristic, complemented
73C11×#380C2211yescharacteristic, complemented
74C11×#379C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76C4×C11×C22⋊C4C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622860C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622825C2211yescharacteristic, complemented
82#10622824C2211yescharacteristic, complemented
83C4×C22⋊Dic11C2211yescharacteristic, complemented
84C2×C11⋊#95C2211yescharacteristic, complemented
85C2×C11⋊#95C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622601C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622586C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622570C2211yescharacteristic, complemented
110#10622570C2211yescharacteristic, complemented
111#10622570C2211yescharacteristic, complemented
112#10622570C2211yescharacteristic, complemented
113#10622570C2211yescharacteristic, complemented
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic, complemented
124#10622569C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic, complemented
126#10622568C2211yescharacteristic, complemented
127#10622568C2211yescharacteristic, complemented
128#10622568C2211yescharacteristic, complemented
129#10622568C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic, complemented
136#10622555C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138C22⋊C4×Dic11C2211yescharacteristic, complemented
139C22⋊C4×Dic11C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141C22⋊C4×Dic11C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic, complemented
144#10622553C2211yescharacteristic, complemented
145#10622553C2211yescharacteristic, complemented
146#10622552C2211yescharacteristic, complemented
147#10622552C2211yescharacteristic, complemented
148C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
150C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
151C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153C4×C4⋊Dic11C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622541C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11—42no—
196C22×C22⋊D11—42no—
197C22×C22⋊D11—42no—
198C22×C22⋊D11—42no—
199C22×C22⋊D11C2×C418yescomplemented
200C22×C22⋊D11C2×C418yescomplemented
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
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C11×#117—42no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4—42no—
234C2×C11×C22⋊C4C2×C418yescomplemented
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
252C2×C42×C11C2311yescharacteristic
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
264#66983C2×C418yescomplemented
265#66983C2×C418yescomplemented
266#66983C2×C418yescomplemented
267#66983C2×C418yescomplemented
268C4×C22⋊D11—42no—
269C4×C22⋊D11—42no—
270C2×(C2×D11)⋊C4—42no—
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303#66979—42no—
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
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
332#66946—42no—
333#66946—42no—
334#66939C2×C418yescomplemented
335#66939C2×C418yescomplemented
336#66939C2×C418yescomplemented
337#66939C2×C418yescomplemented
338#66935C2×C418yescomplemented
339#66935C2×C418yescomplemented
340#66935C2×C418yescomplemented
341#66935C2×C418yescomplemented
342(C22⋊D11)⋊C4—42no—
343(C22⋊D11)⋊C4—42no—
344C22⋊C4×D11—42no—
345C22⋊C4×D11—42no—
346#66930—42no—
347#66930—42no—
348C4×D44—42no—
349C4×D44—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#34407—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—41no—
386C24×C11—41no—
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×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11C22×C414yes—
406C23×D11C22×C414yescomplemented
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
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×C11C22×C414yescomplemented
422C22×C4×C11C22×C414yescomplemented
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
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—416no—
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—416no—
453C2×C22⋊D11C22×C414yes—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yes—
456C2×C22⋊D11C22×C414yes—
457C2×C22⋊D11C22×C414yes—
458C2×C22⋊D11C22×C414yes—
459C2×C22⋊D11C22×C414yescomplemented
460C2×C22⋊D11C22×C414yescomplemented
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11C22×C414yes—
472C22×Dic11C22×C414yescomplemented
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44C22×C414yes—
494C2×D44C22×C414yes—
495C2×D44C22×C414yes—
496C2×D44C22×C414yes—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
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×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—416no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
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⋊C4C22×C414yes—
537C11×C22⋊C4C22×C414yes—
538C11×C22⋊C4C22×C414yescomplemented
539C11×C22⋊C4C22×C414yescomplemented
540C42×C11—22no—
541C42×C11—41no—
542C42×C11—41no—
543C42×C11—41no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4C22×C414yes—
579(C2×D11)⋊C4C22×C414yes—
580(C2×D11)⋊C4C22×C414yes—
581(C2×D11)⋊C4C22×C414yes—
582(C2×D11)⋊C4C22×C414yescomplemented
583(C2×D11)⋊C4C22×C414yescomplemented
584(C2×D11)⋊C4C22×C414yescomplemented
585(C2×D11)⋊C4C22×C414yescomplemented
586C4⋊Dic11—22no—
587C4⋊Dic11—41no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590C4⋊Dic11C22×C414yescomplemented
591C4⋊Dic11C22×C414yescomplemented
592C4⋊Dic11C22×C414yescomplemented
593C4⋊Dic11C22×C414yescomplemented
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602C4×Dic11—22no—
603C4×Dic11—41no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C4×Dic11—41no—
614C2×#534—111no—
615#2377—111no—
616#2377—111no—
617#2376—111no—
618#2375—111no—
619#2374—111no—
620#2363—111no—
621#2363—111no—
622#2359—111no—
623#2359—111no—
624#2359—111no—
625#2359—111no—
626#2358—111no—
627#2342—111no—
628#2342D1111yescharacteristic, complemented
629D4×C22⋊C4—111no—
630D4×C22⋊C4—111no—
631#2335—111no—
632#2335—111no—
633#2333—111no—
634#2333—111no—
635#2324—111no—
636#2324—111no—
637#2321—111no—
638#2321—111no—
639#2321—111no—
640#2321—111no—
641#2309—111no—
642C4×#120—111no—
643C4×#120—111no—
644C2×#386—111no—
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—28no—
662C23×C11—44no—
663C23×C11—44no—
664C23×C11—82no—
665C23×C11—82no—
666C23×C11—82no—
667C23×C11—82no—
668C23×C11C23×C412yes—
669C23×C11C23×C412yes—
670C23×C11C23×C412yes—
671C23×C11H(5,𝔽2)12yes—
672C23×C11H(5,𝔽2)12yes—
673C23×C11C2511yescharacteristic
674C22×D11—28no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—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—21no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—82no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11C23×C412yes—
713C22×D11C23×C412yes—
714C22×D11C23×C412yes—
715C22×D11C23×C412yes—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—44no—
748C2×C4×C11—44no—
749C2×C4×C11—44no—
750C2×C4×C11—82no—
751C2×C4×C11C23×C412yes—
752C2×C4×C11C23×C412yes—
753C2×C4×C11C23×C412yes—
754C2×C4×C11C23×C412yes—
755C2×C4×C11H(5,𝔽2)12yes—
756C22⋊D11—28no—
757C22⋊D11—28no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—44no—
763C22⋊D11—44no—
764C2×Dic11—28no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—44no—
797C2×Dic11—44no—
798C2×Dic11—82no—
799C2×Dic11C23×C412yes—
800C2×Dic11C23×C412yes—
801C2×Dic11C23×C412yes—
802C2×Dic11C23×C412yes—
803C2×Dic11H(5,𝔽2)12yes—
804D44—44no—
805D44—44no—
806D44—44no—
807D44—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813C4×D11—82no—
814C4×D11—82no—
815C4×D11—82no—
816C23×D4—111no—
817C23×D4—111no—
818C24×C4—111no—
819#534—1116no—
820C2×#123—111no—
821C2×#123—111no—
822C2×#123—111no—
823C2×#123—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121—111no—
828C2×#120—111no—
829C2×#120—111no—
830C2×#120—111no—
831C2×#120—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C2×C4×D4—111no—
840C2×#117—111no—
841C2×#117—111no—
842C2×#117—111no—
843C2×#117C2×D1111yescharacteristic, complemented
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4C2×D1111yescharacteristic
849C22×C22⋊C4C2×D1111yescharacteristic
850#390—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#390—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—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#388C2×D1111yescharacteristic, complemented
891#388C2×D1111yescharacteristic, complemented
892#388C2×D1111yescharacteristic, complemented
893#388C2×D1111yescharacteristic, complemented
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385C2×D1111yescharacteristic, complemented
937#385C2×D1111yescharacteristic, complemented
938#381—111no—
939#381C2×D1111yescharacteristic, complemented
940#380—111no—
941#380—111no—
942#380—111no—
943#380C2×D1111yescharacteristic, complemented
944#379—111no—
945#379—111no—
946#379—111no—
947#379—111no—
948#379—111no—
949#379C2×D1111yescharacteristic
950C4×C4⋊C4—111no—
951C4×C4⋊C4—111no—
952C4×C4⋊C4—111no—
953C4×C4⋊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⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4C2×D1111yescharacteristic, complemented
968C4×C22⋊C4C2×D1111yescharacteristic, complemented
969C4×C22⋊C4C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
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—88no—
993C22×C11#51814yes—
994C22×C11C24×C411yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11C2×H(5,𝔽2)11yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11#58511yescharacteristic
1000C22×C11#58511yescharacteristic
1001C2×D11—22no—
1002C2×D11—22no—
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—22no—
1013C2×D11—416no—
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—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—88no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—22no—
1035C4×C11—22no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—22no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C25—111no—
1056C25—111no—
1057C25C22×D1111yescharacteristic
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—118no—
1061C22×D4—118no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—442no—
1073C22×D4—442no—
1074C22×D4—442no—
1075C22×D4—442no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—442no—
1089C23×C4—442no—
1090C23×C4—442no—
1091C23×C4C22×D1111yescharacteristic
1092C23×C4C22×D1111yescharacteristic
1093C23×C4C22×D1111yescharacteristic
1094C23×C4C22×D1111yescharacteristic
1095#123—118no—
1096#123—118no—
1097#123—118no—
1098#123—118no—
1099#121—118no—
1100#121—118no—
1101#121—118no—
1102#121—118no—
1103#120—118no—
1104#120—118no—
1105#120—118no—
1106#120—118no—
1107C4×D4—442no—
1108C4×D4—442no—
1109C4×D4—442no—
1110C4×D4—442no—
1111C4×D4—442no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115#117—42no—
1116#117—442no—
1117#117—442no—
1118#117—442no—
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—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4C22×D1111yescharacteristic
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4—42no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—442no—
1183C2×C22⋊C4—442no—
1184C2×C22⋊C4—442no—
1185C2×C22⋊C4—442no—
1186C2×C22⋊C4C4×D1118yescomplemented
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42—111no—
1208C2×C42—111no—
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42C22×D1111yescharacteristic
1214C2×C42C22×D1111yescharacteristic
1215C2×C42C22×D1111yescharacteristic
1216C2×C42C22×D1111yescharacteristic
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#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249C2×C11—24no—
1250C2×C11—42no—
1251C2×C11—42no—
1252C2×C11C2×#51811yescharacteristic
1253C2×C11C4×H(5,𝔽2)11yescharacteristic
1254C2×C11C4×H(5,𝔽2)11yescharacteristic
1255C2×C11#353211yescharacteristic
1256C2×C11#353311yescharacteristic
1257C2×C11#354211yescharacteristic
1258C2×C11#354211yescharacteristic
1259D11—42no—
1260D11—42no—
1261D11—42no—
1262D11—42no—
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—111no—
1270C24—111no—
1271C24—111no—
1272C24—111no—
1273C24—114no—
1274C24—114no—
1275C24—222no—
1276C24—222no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24—441no—
1281C24—441no—
1282C24—441no—
1283C24—441no—
1284C24—441no—
1285C24—441no—
1286C24—441no—
1287C24C2×C4×D1114yes—
1288C24C23×D1111yescharacteristic
1289C24C23×D1111yescharacteristic
1290C24C23×D1111yescharacteristic
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—114no—
1301C2×D4—114no—
1302C2×D4—114no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—441no—
1308C2×D4—441no—
1309C2×D4—441no—
1310C2×D4—441no—
1311C2×D4—441no—
1312C2×D4—441no—
1313C2×D4—441no—
1314C2×D4—441no—
1315C2×D4—4416no—
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×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—4416no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
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—222no—
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—4416no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4C2×C4×D1114yescomplemented
1389C22×C4C2×C4×D1114yescomplemented
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C4⋊C4—22no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—114no—
1407C4⋊C4—114no—
1408C4⋊C4—114no—
1409C4⋊C4—114no—
1410C4⋊C4—222no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C4⋊C4—441no—
1419C4⋊C4—441no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—114no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—114no—
1439C22⋊C4—114no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
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⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4C2×C4×D1114yes—
1475C22⋊C4C2×C4×D1114yes—
1476C22⋊C4C2×C4×D1114yescomplemented
1477C22⋊C4C2×C4×D1114yescomplemented
1478C42—22no—
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—222no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C42—441no—
1493C42—441no—
1494C11#3440711yescharacteristic, complemented, Sylow
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—28no—
1512C23—44no—
1513C23—44no—
1514C23—82no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23—112no—
1519C23—112no—
1520C23—112no—
1521C23—112no—
1522C23—228no—
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—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23—444no—
1555C23—444no—
1556C23—882no—
1557C23—882no—
1558C23—882no—
1559C23—882no—
1560C23C22×C4×D1112yes—
1561C23C22×C4×D1112yes—
1562C23C22×C4×D1112yes—
1563C23#6704212yes—
1564C23#6704212yes—
1565C23C24×D1111yescharacteristic
1566D4—228no—
1567D4—228no—
1568D4—444no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—82no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—112no—
1617C2×C4—112no—
1618C2×C4—228no—
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—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4—882no—
1660C2×C4—882no—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4C22×C4×D1112yes—
1664C2×C4C22×C4×D1112yes—
1665C2×C4#6703712yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—88no—
1687C22—222no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—4416no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—888no—
1717C22#1062305214yes—
1718C22C23×C4×D1111yescharacteristic
1719C22C2×#6703711yescharacteristic
1720C22C2×#6704211yescharacteristic
1721C22C2×#6704211yescharacteristic
1722C22#1062345311yescharacteristic
1723C22D11×H(5,𝔽2)11yescharacteristic
1724C22#1062345511yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—222no—
1738C4—222no—
1739C4—222no—
1740C4—222no—
1741C4—222no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C2—24no—
1750C2—42no—
1751C2—42no—
1752C2—442no—
1753C2—442no—
1754C2—442no—
1755C2—442no—
1756C2C2×#1062305211yescharacteristic
1757C2#1308182011yescharacteristic
1758C2C4×#6703711yescharacteristic
1759C2#1308276511yescharacteristic
1760C2#1308278811yescharacteristic
1761C2#1308291811yescharacteristic
1762C2#1308292511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC2×#10623024C2
hypercenter#2342D11
hypocenterC11#34407
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071775C2semidirect
3. #13071770C2semidirect
4. #13071762C2semidirect
5. #13071756C2semidirect
6. #13071746C2semidirect
7. #13071654C2semidirect
8. #13071652C2semidirect
9. #13071610C2semidirect
10. #13071610C2semidirect
11. #13071606C2semidirect
12. #13071606C2semidirect
13. #13071594C2semidirect
14. #13071465C2semidirect
15. C22⋊C4×C22⋊D11C2semidirect
16. #13071432C2semidirect
17. #13071411C2semidirect
18. #13071399C2semidirect
19. #13071381C2semidirect
20. #13071378C2semidirect
21. #13071309C2semidirect
22. #13071305C2semidirect
23. #13071278C2semidirect
24. #13071276C2semidirect
25. #13071273C2semidirect
26. #13071269C2semidirect
27. #13071197C2semidirect
28. C4×#66935C2semidirect
29. #13071117C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2342C2semidirect
34. C23×C4×D11C22semidirect
35. C2×C11×#117C22semidirect
45. C22×(C2×D11)⋊C4C22semidirect
46. C2×#66979C22semidirect
47. C2×#66946C22semidirect
48. C2×#66946C22semidirect
49. #10623024C4semidirect
60. C2×C22⋊C4×D11C22semidirect
61. C2×C22⋊C4×D11C22semidirect
62. C2×#66930C22semidirect
63. C2×#66930C22semidirect
64. C2×C4×D44C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#385C22semidirect
71. C11×#385C22semidirect
72. C11×#381C22semidirect
73. C11×#380C22semidirect
75. C4×C11×C22⋊C4C22semidirect
76. C4×C11×C22⋊C4C22semidirect
77. C4×C11×C22⋊C4C22semidirect
81. #10622825C22semidirect
82. #10622824C22semidirect
83. C4×C22⋊Dic11C22semidirect
84. C2×C11⋊#95C22semidirect
85. C2×C11⋊#95C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622603C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622601C22semidirect
95. #10622601C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622586C22semidirect
99. #10622586C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
109. #10622570C22semidirect
110. #10622570C22semidirect
111. #10622570C22semidirect
112. #10622570C22semidirect
113. #10622570C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
123. #10622569C22semidirect
124. #10622569C22semidirect
125. #10622569C22semidirect
126. #10622568C22semidirect
127. #10622568C22semidirect
128. #10622568C22semidirect
129. #10622568C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622563C22semidirect
135. #10622563C22semidirect
136. #10622555C22semidirect
137. #10622555C22semidirect
138. C22⋊C4×Dic11C22semidirect
139. C22⋊C4×Dic11C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. C22⋊C4×Dic11C22semidirect
142. #10622553C22semidirect
143. #10622553C22semidirect
144. #10622553C22semidirect
145. #10622553C22semidirect
146. #10622552C22semidirect
147. #10622552C22semidirect
148. C4×(C2×D11)⋊C4C22semidirect
149. C4×(C2×D11)⋊C4C22semidirect
150. C4×(C2×D11)⋊C4C22semidirect
151. C4×(C2×D11)⋊C4C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. C4×C4⋊Dic11C22semidirect
154. #10622541C22semidirect
155. #10622541C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622279C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622266C22semidirect
186. #10622266C22semidirect
187. #10622266C22semidirect
199. C22×C22⋊D11C2×C4semidirect
200. C22×C22⋊D11C2×C4semidirect
234. C2×C11×C22⋊C4C2×C4semidirect
264. #66983C2×C4semidirect
265. #66983C2×C4semidirect
266. #66983C2×C4semidirect
267. #66983C2×C4semidirect
334. #66939C2×C4semidirect
335. #66939C2×C4semidirect
336. #66939C2×C4semidirect
337. #66939C2×C4semidirect
338. #66935C2×C4semidirect
339. #66935C2×C4semidirect
340. #66935C2×C4semidirect
341. #66935C2×C4semidirect
406. C23×D11C22×C4semidirect
421. C22×C4×C11C22×C4semidirect
422. C22×C4×C11C22×C4semidirect
459. C2×C22⋊D11C22×C4semidirect
460. C2×C22⋊D11C22×C4semidirect
472. C22×Dic11C22×C4semidirect
538. C11×C22⋊C4C22×C4semidirect
539. C11×C22⋊C4C22×C4semidirect
582. (C2×D11)⋊C4C22×C4semidirect
583. (C2×D11)⋊C4C22×C4semidirect
584. (C2×D11)⋊C4C22×C4semidirect
585. (C2×D11)⋊C4C22×C4semidirect
590. C4⋊Dic11C22×C4semidirect
591. C4⋊Dic11C22×C4semidirect
592. C4⋊Dic11C22×C4semidirect
593. C4⋊Dic11C22×C4semidirect
628. #2342D11semidirect
843. C2×#117C2×D11semidirect
890. #388C2×D11semidirect
891. #388C2×D11semidirect
892. #388C2×D11semidirect
893. #388C2×D11semidirect
936. #385C2×D11semidirect
937. #385C2×D11semidirect
939. #381C2×D11semidirect
943. #380C2×D11semidirect
967. C4×C22⋊C4C2×D11semidirect
968. C4×C22⋊C4C2×D11semidirect
969. C4×C22⋊C4C2×D11semidirect
1186. C2×C22⋊C4C4×D11semidirect
1388. C22×C4C2×C4×D11semidirect
1389. C22×C4C2×C4×D11semidirect
1476. C22⋊C4C2×C4×D11semidirect
1477. C22⋊C4C2×C4×D11semidirect
1494. C11#34407semidirect

Maximal subgroups

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

subgroupindex
C2×#106230242
#130717752
#130717702
#130717622
#130717562
#130717462
#130716542
#130716522
#130716102
#130716062
#130715942
#130714652
C22⋊C4×C22⋊D112
#130714322
#130714112
#130713992
#130713812
#130713782
#130713092
#130713052
#130712782
#130712762
#130712732
#130712692
#130711972
C4×#669352
#130711172
C2×#106225692
C11×#23422
#3440711