Finite Group Databasebeta

← #14917135

Subgroups — #14917135

Order 2816.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623138C211yesmaximal, characteristic
2#13071791C211yesmaximal, characteristic, complemented
3#13071785C211yesmaximal, characteristic, complemented
4#13071775C211yesmaximal, characteristic, complemented
5#13071771C211yesmaximal, characteristic, complemented
6#13071724C211yesmaximal, characteristic, complemented
7#13071677C211yesmaximal, characteristic, complemented
8#13071666C211yesmaximal, characteristic, complemented
9#13071662C211yesmaximal, characteristic, complemented
10#13071598C211yesmaximal, characteristic, complemented
11#13071597C211yesmaximal, characteristic, complemented
12#13071596C211yesmaximal, characteristic, complemented
13#13071594C211yesmaximal, characteristic, complemented
14#13071475C211yesmaximal, characteristic, complemented
15#13071471C211yesmaximal, characteristic, complemented
16#13071447C211yesmaximal, characteristic, complemented
17#13071440C211yesmaximal, characteristic, complemented
18#13071424C211yesmaximal, characteristic, complemented
19#13071423C211yesmaximal, characteristic, complemented
20#13071377C211yesmaximal, characteristic, complemented
21#13071340C211yesmaximal, characteristic, complemented
22#13071337C211yesmaximal, characteristic, complemented
23#13071321C211yesmaximal, characteristic, complemented
24#13071318C211yesmaximal, characteristic, complemented
25#13071278C211yesmaximal, characteristic, complemented
26#13071275C211yesmaximal, characteristic, complemented
27#13071190C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2333C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×#66993C2211yescharacteristic
37C2×#66993C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic, complemented
42C2×D4×Dic11C2211yescharacteristic, complemented
43C2×#66983C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C22×(C2×D11)⋊C4C2211yescharacteristic
46#10623138C4116yescomplemented
47C2×#66948C2211yescharacteristic
48C2×#66946C2211yescharacteristic, complemented
49C2×#66945C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
57C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#390C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic
74C11×#386C2211yescharacteristic, complemented
75C11×#386C2211yescharacteristic, complemented
76C11×#381C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78C4×C11×C22⋊C4C2211yescharacteristic, complemented
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic, complemented
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622825C2211yescharacteristic, complemented
88#10622823C2211yescharacteristic, complemented
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622590C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622571C2211yescharacteristic, complemented
103#10622571C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic, complemented
106#10622571C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic, complemented
109#10622570C2211yescharacteristic, complemented
110#10622570C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622569C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622558C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622552C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144#10622545C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622542C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622280C2211yescharacteristic, complemented
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C2×D4×D11—42no—
209C2×D4×D11—42no—
210C2×D4×D11C2×C418yescomplemented
211C2×#4339—42no—
212C2×#4339—42no—
213C2×#4339C2×C418yescomplemented
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C11×#121C2×C418yescomplemented
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊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
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#66993C2×C418yescomplemented
265#66993C2×C418yescomplemented
266#66991C2×C418yescomplemented
267#66990C2×C418yescomplemented
268#66990C2×C418yescomplemented
269D4×Dic11—42no—
270D4×Dic11—42no—
271#66983C2×C418yescomplemented
272C4×C22⋊D11—42no—
273C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66948C2×C418yescomplemented
324#66946—42no—
325#66945C2×C418yescomplemented
326#66938C2×C418yescomplemented
327#66938C2×C418yescomplemented
328#66935C2×C418yescomplemented
329#66935C2×C418yescomplemented
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4—42no—
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4—42no—
334(C22⋊D11)⋊C4—42no—
335C22⋊C4×D11—42no—
336C22⋊C4×D11—42no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C4×D44—42no—
340C4×D44—42no—
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#34406—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11C22×C414yes—
399C23×D11C22×C414yes—
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yes—
412C2×D4×C11C22×C414yescomplemented
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×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11C22×C414yes—
451C2×C22⋊D11C22×C414yes—
452C2×C22⋊D11C22×C414yes—
453C2×C22⋊D11C22×C414yes—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yescomplemented
456C2×C22⋊D11C22×C414yescomplemented
457C2×C22⋊D11C22×C414yescomplemented
458C22×Dic11—22no—
459C22×Dic11—22no—
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×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482D4×D11—416no—
483#4339—416no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44C22×C414yes—
493C2×D44C22×C414yes—
494C2×D44C22×C414yes—
495C2×D44C22×C414yescomplemented
496C2×C4×D11—22no—
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—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
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—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—416no—
531C2×C4×D11C22×C414yes—
532C2×C4×D11C22×C414yescomplemented
533C2×Dic22—41no—
534C2×Dic22—41no—
535C2×Dic22C22×C414yescomplemented
536C11×C4⋊C4—41no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4C22×C414yescomplemented
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4C22×C414yes—
550C11×C22⋊C4C22×C414yescomplemented
551C42×C11—41no—
552C42×C11—41no—
553C42×C11—41no—
554C42×C11—41no—
555C22⋊Dic11—22no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11C22×C414yes—
564C22⋊Dic11C22×C414yescomplemented
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4C22×C414yes—
588(C2×D11)⋊C4C22×C414yes—
589(C2×D11)⋊C4C22×C414yes—
590(C2×D11)⋊C4C22×C414yes—
591(C2×D11)⋊C4C22×C414yescomplemented
592(C2×D11)⋊C4C22×C414yescomplemented
593C4⋊Dic11—22no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11—41no—
597C4⋊Dic11C22×C414yescomplemented
598Dic11⋊C4—22no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11C22×C414yescomplemented
613C4×Dic11C22×C414yescomplemented
614C2×#535—111no—
615#2380—111no—
616#2379—111no—
617#2377—111no—
618#2377—111no—
619#2372—111no—
620#2366—111no—
621#2364—111no—
622#2364—111no—
623#2358—111no—
624#2358—111no—
625#2358—111no—
626#2358—111no—
627#2343—111no—
628#2343—111no—
629#2339—111no—
630#2339—111no—
631#2337—111no—
632#2337—111no—
633#2333—111no—
634#2333D1111yescharacteristic, complemented
635#2328—111no—
636#2328—111no—
637#2325—111no—
638#2325—111no—
639#2321—111no—
640#2321—111no—
641#2308—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—21no—
662C23×C11—21no—
663C23×C11C23×C412yes—
664C23×C11C23×C412yes—
665C23×C11C23×C412yes—
666C23×C11C2511yescharacteristic
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—28no—
690C22×D11—28no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11—82no—
700C22×D11—82no—
701C22×D11—82no—
702C22×D11—82no—
703C22×D11C23×C412yes—
704C22×D11C23×C412yes—
705C22×D11C23×C412yes—
706C22×D11C23×C412yes—
707C22×D11H(5,𝔽2)12yes—
708C22×D11H(5,𝔽2)12yes—
709D4×C11—44no—
710D4×C11—44no—
711D4×C11—44no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—44no—
744C2×C4×C11—44no—
745C2×C4×C11—82no—
746C2×C4×C11C23×C412yes—
747C2×C4×C11C23×C412yes—
748C2×C4×C11C23×C412yes—
749C2×C4×C11C23×C412yes—
750C2×C4×C11H(5,𝔽2)12yes—
751C22⋊D11—28no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—44no—
756C22⋊D11—44no—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—44no—
791C2×Dic11—82no—
792C2×Dic11—82no—
793C2×Dic11—82no—
794C2×Dic11C23×C412yes—
795C2×Dic11C23×C412yes—
796C2×Dic11C23×C412yes—
797C2×Dic11C23×C412yes—
798C2×Dic11H(5,𝔽2)12yes—
799D44—28no—
800D44—44no—
801D44—44no—
802D44—44no—
803C4×D11—28no—
804C4×D11—44no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—82no—
810C4×D11—82no—
811C4×D11—82no—
812C4×D11—82no—
813C4×D11—82no—
814C4×D11—82no—
815Dic22—44no—
816C22×#41—111no—
817C23×D4—111no—
818C24×C4—111no—
819#535—1116no—
820C2×#127—111no—
821C2×#127—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121C2×D1111yescharacteristic
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×C4×D4—111no—
841C2×C4×D4—111no—
842C2×C4×D4—111no—
843C2×C4×D4—111no—
844C2×#117—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4—111no—
849C22×C22⋊C4—111no—
850#391—111no—
851#391—111no—
852#391—111no—
853#391—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390C2×D1111yescharacteristic, complemented
861#390C2×D1111yescharacteristic, complemented
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388C2×D1111yescharacteristic, complemented
877#388C2×D1111yescharacteristic, complemented
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387C2×D1111yescharacteristic, complemented
885#387C2×D1111yescharacteristic, complemented
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#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386C2×D1111yescharacteristic
923#386C2×D1111yescharacteristic
924#386C2×D1111yescharacteristic, complemented
925#386C2×D1111yescharacteristic, complemented
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#385—111no—
937#385—111no—
938#383—111no—
939#383—111no—
940#382—111no—
941#382—111no—
942#381—111no—
943#381—111no—
944#381—111no—
945#381C2×D1111yescharacteristic, complemented
946#380—111no—
947#380—111no—
948#379—111no—
949#379—111no—
950C4×C4⋊C4—111no—
951C4×C4⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4C2×D1111yescharacteristic, complemented
964C4×C22⋊C4C2×D1111yescharacteristic, complemented
965C4×C22⋊C4C2×D1111yescharacteristic, complemented
966#376—111no—
967#376—111no—
968C2×#95—111no—
969C2×#95—111no—
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—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11C24×C411yescharacteristic
994C22×C11C2×H(5,𝔽2)11yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11C2×H(5,𝔽2)11yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11#58511yescharacteristic
999C22×C11#58511yescharacteristic
1000C2×D11—22no—
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—22no—
1014C2×D11—22no—
1015C2×D11—416no—
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—88no—
1029C2×D11#51814yes—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—22no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054C25—111no—
1055C25—111no—
1056C2×#41—118no—
1057C2×#41—442no—
1058C2×#41—442no—
1059C22×Q8—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—118no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—442no—
1074C22×D4—442no—
1075C22×D4C22×D1111yescharacteristic
1076C22×D4C22×D1111yescharacteristic
1077C22×D4C22×D1111yescharacteristic
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—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—111no—
1094C23×C4—442no—
1095C23×C4—442no—
1096C23×C4—442no—
1097C23×C4C22×D1111yescharacteristic
1098C23×C4C22×D1111yescharacteristic
1099C23×C4C22×D1111yescharacteristic
1100#127—118no—
1101#127—118no—
1102#124—118no—
1103#124—118no—
1104#121—118no—
1105#121—118no—
1106#121—118no—
1107#121C4×D1118yescomplemented
1108#120—118no—
1109#120—118no—
1110#120—118no—
1111#120—118no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115C4×D4—442no—
1116C4×D4—442no—
1117C4×D4—442no—
1118C4×D4—442no—
1119C4×D4—442no—
1120C4×D4—442no—
1121C4×D4—442no—
1122C4×D4—442no—
1123C4×D4—442no—
1124#117—118no—
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⋊C4—111no—
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—442no—
1178C2×C22⋊C4—442no—
1179C2×C22⋊C4—442no—
1180C2×C22⋊C4—442no—
1181C2×C22⋊C4—442no—
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C42—111no—
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42C22×D1111yescharacteristic
1205C2×C42C22×D1111yescharacteristic
1206C2×C42C22×D1111yescharacteristic
1207C2×C42C22×D1111yescharacteristic
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95C22×D1111yescharacteristic
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248C2×C11—42no—
1249C2×C11—42no—
1250C2×C11—42no—
1251C2×C11C2×#51811yescharacteristic
1252C2×C11C4×H(5,𝔽2)11yescharacteristic
1253C2×C11C4×H(5,𝔽2)11yescharacteristic
1254C2×C11#353211yescharacteristic
1255C2×C11#353311yescharacteristic
1256C2×C11#354211yescharacteristic
1257C2×C11#354211yescharacteristic
1258D11—24no—
1259D11—42no—
1260D11—42no—
1261D11—42no—
1262C24—111no—
1263C24—111no—
1264C24—111no—
1265C24—111no—
1266C24—114no—
1267C24—114no—
1268C24—222no—
1269C24—222no—
1270C24—222no—
1271C24—222no—
1272C24—441no—
1273C24—441no—
1274C24—441no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283#41—4416no—
1284C2×Q8—114no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
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—114no—
1304C2×D4—114no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
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—441no—
1329C2×D4—441no—
1330C2×D4C2×C4×D1114yes—
1331C2×D4C2×C4×D1114yes—
1332C2×D4C2×C4×D1114yescomplemented
1333C22×C4—22no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—111no—
1346C22×C4—114no—
1347C22×C4—114no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
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—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—4416no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4C2×C4×D1114yescomplemented
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—114no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4C2×C4×D1114yescomplemented
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—114no—
1440C22⋊C4—114no—
1441C22⋊C4—114no—
1442C22⋊C4—114no—
1443C22⋊C4—114no—
1444C22⋊C4—114no—
1445C22⋊C4—114no—
1446C22⋊C4—114no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
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⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4C2×C4×D1114yes—
1478C22⋊C4C2×C4×D1114yescomplemented
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—114no—
1484C42—114no—
1485C42—222no—
1486C42—222no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C42—441no—
1493C11#3440611yescharacteristic, complemented, Sylow
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—112no—
1513C23—112no—
1514C23—112no—
1515C23—112no—
1516C23—112no—
1517C23—112no—
1518C23—228no—
1519C23—228no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—444no—
1543C23—444no—
1544C23—444no—
1545C23—444no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—882no—
1551C23—882no—
1552C23—882no—
1553C23—882no—
1554C23C22×C4×D1112yes—
1555C23C22×C4×D1112yes—
1556C23C22×C4×D1112yes—
1557C23C24×D1111yescharacteristic
1558Q8—444no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—228no—
1563D4—228no—
1564D4—444no—
1565D4—444no—
1566D4—444no—
1567D4—444no—
1568D4—444no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—82no—
1608C2×C4—112no—
1609C2×C4—112no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—228no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—444no—
1646C2×C4—444no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—882no—
1652C2×C4—882no—
1653C2×C4—882no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4—882no—
1660C2×C4C22×C4×D1112yes—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4C22×C4×D1112yes—
1664C2×C4#6704212yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—114no—
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—222no—
1700C22—222no—
1701C22—222no—
1702C22—4416no—
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—888no—
1716C22C23×C4×D1111yescharacteristic
1717C22C2×#6704211yescharacteristic
1718C22#1062345311yescharacteristic
1719C22D11×H(5,𝔽2)11yescharacteristic
1720C22D11×H(5,𝔽2)11yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22#1062345511yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—222no—
1736C4—222no—
1737C4—222no—
1738C4—222no—
1739C4—222no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—224no—
1751C2—442no—
1752C2—442no—
1753C2—442no—
1754C2D11×#51811yescharacteristic
1755C2#1308182011yescharacteristic
1756C2C4×#6704211yescharacteristic
1757C2#1308276711yescharacteristic
1758C2#1308278311yescharacteristic
1759C2#1308292311yescharacteristic
1760C2#1308293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2333C2
socle, cosocleC23×C11C25
prime radicalC2×#10623138C2
hypercenter#2333D11
hypocenterC11#34406
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #13071791C2semidirect
3. #13071785C2semidirect
4. #13071775C2semidirect
5. #13071771C2semidirect
6. #13071724C2semidirect
7. #13071677C2semidirect
8. #13071666C2semidirect
9. #13071662C2semidirect
10. #13071598C2semidirect
11. #13071597C2semidirect
12. #13071596C2semidirect
13. #13071594C2semidirect
14. #13071475C2semidirect
15. #13071471C2semidirect
16. #13071447C2semidirect
17. #13071440C2semidirect
18. #13071424C2semidirect
19. #13071423C2semidirect
20. #13071377C2semidirect
21. #13071340C2semidirect
22. #13071337C2semidirect
23. #13071321C2semidirect
24. #13071318C2semidirect
25. #13071278C2semidirect
26. #13071275C2semidirect
27. #13071190C2semidirect
28. #13071121C2semidirect
29. C4×#66935C2semidirect
30. D11×#386C2semidirect
31. C11×#2333C2semidirect
41. C2×D4×Dic11C22semidirect
42. C2×D4×Dic11C22semidirect
44. C2×C4×C22⋊D11C22semidirect
46. #10623138C4semidirect
48. C2×#66946C22semidirect
56. C2×(C22⋊D11)⋊C4C22semidirect
57. C2×(C22⋊D11)⋊C4C22semidirect
58. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#390C22semidirect
67. C11×#390C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
74. C11×#386C22semidirect
75. C11×#386C22semidirect
76. C11×#381C22semidirect
77. C4×C11×C22⋊C4C22semidirect
78. C4×C11×C22⋊C4C22semidirect
79. C4×C11×C22⋊C4C22semidirect
82. #10622833C22semidirect
83. #10622833C22semidirect
86. #10622826C22semidirect
87. #10622825C22semidirect
88. #10622823C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C2×C11⋊#95C22semidirect
91. #10622603C22semidirect
94. #10622602C22semidirect
95. #10622601C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622590C22semidirect
99. C4⋊C4×Dic11C22semidirect
102. #10622571C22semidirect
103. #10622571C22semidirect
104. #10622571C22semidirect
105. #10622571C22semidirect
106. #10622571C22semidirect
107. #10622570C22semidirect
108. #10622570C22semidirect
109. #10622570C22semidirect
110. #10622570C22semidirect
117. #10622569C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622569C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622563C22semidirect
128. #10622563C22semidirect
129. #10622559C22semidirect
130. #10622558C22semidirect
131. #10622558C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. C22⋊C4×Dic11C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622553C22semidirect
138. #10622552C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. #10622545C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. #10622542C22semidirect
147. #10622542C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622282C22semidirect
154. #10622281C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
157. #10622280C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
174. #10622277C22semidirect
177. D11×#95C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
210. C2×D4×D11C2×C4semidirect
213. C2×#4339C2×C4semidirect
234. C11×#121C2×C4semidirect
264. #66993C2×C4semidirect
265. #66993C2×C4semidirect
266. #66991C2×C4semidirect
267. #66990C2×C4semidirect
268. #66990C2×C4semidirect
271. #66983C2×C4semidirect
323. #66948C2×C4semidirect
325. #66945C2×C4semidirect
326. #66938C2×C4semidirect
327. #66938C2×C4semidirect
328. #66935C2×C4semidirect
329. #66935C2×C4semidirect
412. C2×D4×C11C22×C4semidirect
421. C22×C4×C11C22×C4semidirect
455. C2×C22⋊D11C22×C4semidirect
456. C2×C22⋊D11C22×C4semidirect
457. C2×C22⋊D11C22×C4semidirect
495. C2×D44C22×C4semidirect
532. C2×C4×D11C22×C4semidirect
535. C2×Dic22C22×C4semidirect
538. C11×C4⋊C4C22×C4semidirect
550. C11×C22⋊C4C22×C4semidirect
564. C22⋊Dic11C22×C4semidirect
591. (C2×D11)⋊C4C22×C4semidirect
592. (C2×D11)⋊C4C22×C4semidirect
597. C4⋊Dic11C22×C4semidirect
612. C4×Dic11C22×C4semidirect
613. C4×Dic11C22×C4semidirect
634. #2333D11semidirect
860. #390C2×D11semidirect
861. #390C2×D11semidirect
876. #388C2×D11semidirect
877. #388C2×D11semidirect
884. #387C2×D11semidirect
885. #387C2×D11semidirect
924. #386C2×D11semidirect
925. #386C2×D11semidirect
945. #381C2×D11semidirect
963. C4×C22⋊C4C2×D11semidirect
964. C4×C22⋊C4C2×D11semidirect
965. C4×C22⋊C4C2×D11semidirect
1107. #121C4×D11semidirect
1332. C2×D4C2×C4×D11semidirect
1402. C22×C4C2×C4×D11semidirect
1428. C4⋊C4C2×C4×D11semidirect
1478. C22⋊C4C2×C4×D11semidirect
1493. C11#34406semidirect

Maximal subgroups

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

subgroupindex
C2×#106231382
#130717912
#130717852
#130717752
#130717712
#130717242
#130716772
#130716662
#130716622
#130715982
#130715972
#130715962
#130715942
#130714752
#130714712
#130714472
#130714402
#130714242
#130714232
#130713772
#130713402
#130713372
#130713212
#130713182
#130712782
#130712752
#130711902
#130711212
C4×#669352
D11×#3862
C11×#23332
#3440611