Finite Group Databasebeta

← #14917132

Subgroups — #14917132

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×#10623123C211yesmaximal, characteristic
2#13071791C211yesmaximal, characteristic, complemented
3#13071785C211yesmaximal, characteristic, complemented
4#13071774C211yesmaximal, characteristic, complemented
5#13071772C211yesmaximal, characteristic, complemented
6#13071723C211yesmaximal, characteristic, complemented
7#13071677C211yesmaximal, characteristic, complemented
8#13071667C211yesmaximal, characteristic, complemented
9#13071661C211yesmaximal, characteristic, complemented
10#13071600C211yesmaximal, characteristic, complemented
11#13071595C211yesmaximal, characteristic, complemented
12#13071595C211yesmaximal, characteristic, complemented
13#13071474C211yesmaximal, characteristic, complemented
14#13071470C211yesmaximal, characteristic, complemented
15#13071442C211yesmaximal, characteristic, complemented
16#13071441C211yesmaximal, characteristic, complemented
17#13071430C211yesmaximal, characteristic, complemented
18#13071424C211yesmaximal, characteristic, complemented
19#13071379C211yesmaximal, characteristic, complemented
20#13071375C211yesmaximal, characteristic, complemented
21#13071338C211yesmaximal, characteristic, complemented
22#13071337C211yesmaximal, characteristic, complemented
23#13071320C211yesmaximal, characteristic, complemented
24#13071317C211yesmaximal, characteristic, complemented
25#13071273C211yesmaximal, characteristic, complemented
26#13071270C211yesmaximal, characteristic, complemented
27#13071191C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2358C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C22×C11×C22⋊C4C2211yescharacteristic
39C22×C11×C22⋊C4C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C22×C22⋊Dic11C2211yescharacteristic
43C2×#66993C2211yescharacteristic
44C2×#66993C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66990C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic, complemented
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52C22×(C2×D11)⋊C4C2211yescharacteristic
53#10623123C4116yescomplemented
54C2×#66938C2211yescharacteristic
55C2×#66938C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66935C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
63C2×#66930C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic, complemented
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic, complemented
71C11×#386C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic, complemented
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic, complemented
86#10622826C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622601C2211yescharacteristic, complemented
101#10622601C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622590C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107#10622587C2211yescharacteristic, complemented
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622570C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic, complemented
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic
138#10622563C2211yescharacteristic, complemented
139#10622559C2211yescharacteristic
140#10622559C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic, complemented
145#10622556C2211yescharacteristic
146#10622556C2211yescharacteristic
147#10622556C2211yescharacteristic, complemented
148#10622555C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622553C2211yescharacteristic, complemented
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622545C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622542C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11—42no—
199C22×C22⋊D11—42no—
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
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C2×#4341—42no—
219C2×#4341—42no—
220C2×#4341C2×C418yescomplemented
221C22×D44C2311yescharacteristic
222C22×D44C2311yescharacteristic
223C22×C4×D11—42no—
224C22×C4×D11—42no—
225C22×C4×D11—42no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C11×#120C2×C418yescomplemented
235C4×D4×C11—42no—
236C4×D4×C11—42no—
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4—42no—
241C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259#67006C2×C418yescomplemented
260C2×C22⋊Dic11—42no—
261C2×C22⋊Dic11—42no—
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276#66993C2×C418yescomplemented
277#66993C2×C418yescomplemented
278#66992C2×C418yescomplemented
279#66992C2×C418yescomplemented
280#66990C2×C418yescomplemented
281D4×Dic11—42no—
282D4×Dic11—42no—
283C4×C22⋊D11—42no—
284C4×C22⋊D11—42no—
285C2×(C2×D11)⋊C4—42no—
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
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330#66938C2×C418yescomplemented
331#66938C2×C418yescomplemented
332#66937C2×C418yescomplemented
333#66937C2×C418yescomplemented
334#66935C2×C418yescomplemented
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4—42no—
337(C22⋊D11)⋊C4—42no—
338(C22⋊D11)⋊C4—42no—
339#66930C2×C418yescomplemented
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×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
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11C22×C414yes—
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yescomplemented
412C2×D4×C11C22×C414yescomplemented
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
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—416no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11C22×C414yes—
461C2×C22⋊D11C22×C414yes—
462C2×C22⋊D11C22×C414yes—
463C2×C22⋊D11C22×C414yes—
464C2×C22⋊D11C22×C414yes—
465C2×C22⋊D11C22×C414yes—
466C2×C22⋊D11C22×C414yes—
467C2×C22⋊D11C22×C414yescomplemented
468C2×C22⋊D11C22×C414yescomplemented
469C2×C22⋊D11C22×C414yescomplemented
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11C22×C414yes—
490C22×Dic11C22×C414yescomplemented
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504#4341—416no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44C22×C414yes—
510C2×D44C22×C414yes—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
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—41no—
531C2×C4×D11—416no—
532C2×C4×D11C22×C414yescomplemented
533C2×Dic22—41no—
534C2×Dic22—41no—
535C2×Dic22C22×C414yescomplemented
536C11×C4⋊C4—41no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4C22×C414yes—
551C11×C22⋊C4C22×C414yescomplemented
552C11×C22⋊C4C22×C414yescomplemented
553C42×C11—22no—
554C42×C11—41no—
555C42×C11—41no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11C22×C414yes—
568C22⋊Dic11C22×C414yescomplemented
569C22⋊Dic11C22×C414yescomplemented
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊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)⋊C4—41no—
588(C2×D11)⋊C4C22×C414yes—
589(C2×D11)⋊C4C22×C414yes—
590(C2×D11)⋊C4C22×C414yes—
591(C2×D11)⋊C4C22×C414yes—
592C4⋊Dic11—22no—
593C4⋊Dic11—41no—
594C4⋊Dic11—41no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4C22×C414yescomplemented
602Dic11⋊C4C22×C414yescomplemented
603C4×Dic11—22no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11C22×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#2358D1111yescharacteristic, complemented
627#2343—111no—
628#2343—111no—
629#2339—111no—
630#2339—111no—
631#2337—111no—
632#2337—111no—
633#2333—111no—
634#2333—111no—
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×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—28no—
668C23×C11—44no—
669C23×C11—44no—
670C23×C11—82no—
671C23×C11—82no—
672C23×C11—82no—
673C23×C11—82no—
674C23×C11C23×C412yes—
675C23×C11C23×C412yes—
676C23×C11C23×C412yes—
677C23×C11C23×C412yes—
678C23×C11H(5,𝔽2)12yes—
679C23×C11H(5,𝔽2)12yes—
680C23×C11C2511yescharacteristic
681C22×D11—28no—
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—21no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11C23×C412yes—
707C22×D11C23×C412yes—
708C22×D11C23×C412yes—
709D4×C11—28no—
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—44no—
742C2×C4×C11—82no—
743C2×C4×C11—82no—
744C2×C4×C11—82no—
745C2×C4×C11—82no—
746C2×C4×C11C23×C412yes—
747C2×C4×C11C23×C412yes—
748C2×C4×C11C23×C412yes—
749C2×C4×C11H(5,𝔽2)12yes—
750C22⋊D11—28no—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—44no—
756C22⋊D11—44no—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C2×Dic11—28no—
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—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—44no—
795C2×Dic11—44no—
796C2×Dic11—82no—
797C2×Dic11—82no—
798C2×Dic11—82no—
799C2×Dic11—82no—
800C2×Dic11C23×C412yes—
801C2×Dic11C23×C412yes—
802C2×Dic11C23×C412yes—
803C2×Dic11C23×C412yes—
804C2×Dic11C23×C412yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—44no—
807D44—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
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×#121—111no—
828C2×#120—111no—
829C2×#120—111no—
830C2×#120—111no—
831C2×#120C2×D1111yescharacteristic
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×D4C2×D1111yescharacteristic
843C2×C4×D4C2×D1111yescharacteristic, complemented
844C2×#117—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4C2×D1111yescharacteristic
849C22×C22⋊C4C2×D1111yescharacteristic
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#390—111no—
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#387—111no—
885#387—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#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#385C2×D1111yescharacteristic
937#385C2×D1111yescharacteristic, complemented
938#383—111no—
939#383—111no—
940#382—111no—
941#382—111no—
942#381—111no—
943#381—111no—
944#381—111no—
945#381—111no—
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⋊C4—111no—
964C4×C22⋊C4C2×D1111yescharacteristic
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—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—22no—
986C22×C11—22no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—88no—
1000C22×C11#51814yes—
1001C22×C11C24×C411yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11C2×H(5,𝔽2)11yescharacteristic
1006C22×C11#58511yescharacteristic
1007C22×C11#58511yescharacteristic
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—416no—
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—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041Dic11—22no—
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—
1055C25C22×D1111yescharacteristic
1056C2×#41—118no—
1057C2×#41—442no—
1058C2×#41—442no—
1059C22×Q8—111no—
1060C22×D4—111no—
1061C22×D4—118no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—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—442no—
1093C23×C4—442no—
1094C23×C4—442no—
1095C23×C4C22×D1111yescharacteristic
1096C23×C4C22×D1111yescharacteristic
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#121—118no—
1108#120—118no—
1109#120—118no—
1110#120—118no—
1111#120C4×D1118yescomplemented
1112C4×D4—42no—
1113C4×D4—42no—
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—42no—
1140C2×C22⋊C4—42no—
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⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×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×C42—111no—
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#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248C2×C11—24no—
1249C2×C11—42no—
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—
1262C24—22no—
1263C24—22no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—111no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—222no—
1273C24—222no—
1274C24—441no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24C2×C4×D1114yes—
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283#41—4416no—
1284C2×Q8—114no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×D4—22no—
1288C2×D4—22no—
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—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—441no—
1329C2×D4—441no—
1330C2×D4C2×C4×D1114yes—
1331C2×D4C2×C4×D1114yescomplemented
1332C2×D4C2×C4×D1114yescomplemented
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—114no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—114no—
1356C22×C4—114no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
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—4416no—
1391C22×C4—441no—
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×C4—441no—
1403C22×C4—441no—
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—41no—
1418C4⋊C4—114no—
1419C4⋊C4—114no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4—441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
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—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⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4C2×C4×D1114yes—
1477C22⋊C4C2×C4×D1114yescomplemented
1478C22⋊C4C2×C4×D1114yescomplemented
1479C42—22no—
1480C42—41no—
1481C42—41no—
1482C42—114no—
1483C42—114no—
1484C42—222no—
1485C42—441no—
1486C42—441no—
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—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—28no—
1517C23—44no—
1518C23—44no—
1519C23—82no—
1520C23—82no—
1521C23—82no—
1522C23—82no—
1523C23—112no—
1524C23—112no—
1525C23—112no—
1526C23—228no—
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—444no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23C22×C4×D1112yes—
1552C23C22×C4×D1112yes—
1553C23C22×C4×D1112yes—
1554C23C22×C4×D1112yes—
1555C23#6703712yes—
1556C23#6704212yes—
1557C23C24×D1111yescharacteristic
1558Q8—444no—
1559D4—28no—
1560D4—44no—
1561D4—44no—
1562D4—228no—
1563D4—444no—
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—44no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—112no—
1609C2×C4—112no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—228no—
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—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—882no—
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×C4#6703712yes—
1665C22—22no—
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—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—88no—
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#1062307614yes—
1716C22C23×C4×D1111yescharacteristic
1717C22C2×#6703711yescharacteristic
1718C22C2×#6703711yescharacteristic
1719C22C2×#6704211yescharacteristic
1720C22#1062345311yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22#1062345511yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—222no—
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—24no—
1748C2—42no—
1749C2—42no—
1750C2—42no—
1751C2—442no—
1752C2—442no—
1753C2—442no—
1754C2C2×#1062307611yescharacteristic
1755C2#1308182011yescharacteristic
1756C2C4×#6703711yescharacteristic
1757C2#1308276511yescharacteristic
1758C2#1308278811yescharacteristic
1759C2#1308291711yescharacteristic
1760C2#1308293711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2358C2
socle, cosocleC23×C11C25
prime radicalC2×#10623123C2
hypercenter#2358D11
hypocenterC11#34406
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #13071791C2semidirect
3. #13071785C2semidirect
4. #13071774C2semidirect
5. #13071772C2semidirect
6. #13071723C2semidirect
7. #13071677C2semidirect
8. #13071667C2semidirect
9. #13071661C2semidirect
10. #13071600C2semidirect
11. #13071595C2semidirect
12. #13071595C2semidirect
13. #13071474C2semidirect
14. #13071470C2semidirect
15. #13071442C2semidirect
16. #13071441C2semidirect
17. #13071430C2semidirect
18. #13071424C2semidirect
19. #13071379C2semidirect
20. #13071375C2semidirect
21. #13071338C2semidirect
22. #13071337C2semidirect
23. #13071320C2semidirect
24. #13071317C2semidirect
25. #13071273C2semidirect
26. #13071270C2semidirect
27. #13071191C2semidirect
28. #13071121C2semidirect
29. C4×#66935C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2358C2semidirect
37. C2×C4×D4×C11C22semidirect
49. C2×D4×Dic11C22semidirect
51. C2×C4×C22⋊D11C22semidirect
53. #10623123C4semidirect
60. C2×(C22⋊D11)⋊C4C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
62. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×C4×D44C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#390C22semidirect
67. C11×#388C22semidirect
68. C11×#388C22semidirect
70. C11×#386C22semidirect
71. C11×#386C22semidirect
73. C11×#385C22semidirect
75. C4×C11×C22⋊C4C22semidirect
76. #10622834C22semidirect
78. #10622833C22semidirect
79. #10622833C22semidirect
85. #10622826C22semidirect
86. #10622826C22semidirect
87. #10622826C22semidirect
88. #10622826C22semidirect
90. #10622823C22semidirect
92. C4×C22⋊Dic11C22semidirect
95. C2×C11⋊#95C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
99. #10622603C22semidirect
100. #10622601C22semidirect
101. #10622601C22semidirect
102. #10622600C22semidirect
103. #10622591C22semidirect
104. #10622591C22semidirect
105. #10622590C22semidirect
106. C4⋊C4×Dic11C22semidirect
107. #10622587C22semidirect
113. #10622571C22semidirect
114. #10622571C22semidirect
115. #10622570C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
118. #10622570C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
132. #10622569C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
138. #10622563C22semidirect
140. #10622559C22semidirect
141. #10622558C22semidirect
142. #10622558C22semidirect
143. #10622557C22semidirect
144. #10622557C22semidirect
147. #10622556C22semidirect
148. #10622555C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C22⋊C4×Dic11C22semidirect
154. #10622553C22semidirect
155. #10622553C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. #10622546C22semidirect
160. #10622546C22semidirect
161. #10622545C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622542C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622277C22semidirect
177. D11×#95C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
200. C22×C22⋊D11C2×C4semidirect
220. C2×#4341C2×C4semidirect
234. C11×#120C2×C4semidirect
259. #67006C2×C4semidirect
276. #66993C2×C4semidirect
277. #66993C2×C4semidirect
278. #66992C2×C4semidirect
279. #66992C2×C4semidirect
280. #66990C2×C4semidirect
330. #66938C2×C4semidirect
331. #66938C2×C4semidirect
332. #66937C2×C4semidirect
333. #66937C2×C4semidirect
334. #66935C2×C4semidirect
339. #66930C2×C4semidirect
411. C2×D4×C11C22×C4semidirect
412. C2×D4×C11C22×C4semidirect
467. C2×C22⋊D11C22×C4semidirect
468. C2×C22⋊D11C22×C4semidirect
469. C2×C22⋊D11C22×C4semidirect
490. C22×Dic11C22×C4semidirect
532. C2×C4×D11C22×C4semidirect
535. C2×Dic22C22×C4semidirect
551. C11×C22⋊C4C22×C4semidirect
552. C11×C22⋊C4C22×C4semidirect
568. C22⋊Dic11C22×C4semidirect
569. C22⋊Dic11C22×C4semidirect
601. Dic11⋊C4C22×C4semidirect
602. Dic11⋊C4C22×C4semidirect
612. C4×Dic11C22×C4semidirect
613. C4×Dic11C22×C4semidirect
626. #2358D11semidirect
843. C2×C4×D4C2×D11semidirect
861. #390C2×D11semidirect
876. #388C2×D11semidirect
877. #388C2×D11semidirect
924. #386C2×D11semidirect
925. #386C2×D11semidirect
937. #385C2×D11semidirect
965. C4×C22⋊C4C2×D11semidirect
1111. #120C4×D11semidirect
1331. C2×D4C2×C4×D11semidirect
1332. C2×D4C2×C4×D11semidirect
1477. C22⋊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×#106231232
#130717912
#130717852
#130717742
#130717722
#130717232
#130716772
#130716672
#130716612
#130716002
#130715952
#130714742
#130714702
#130714422
#130714412
#130714302
#130714242
#130713792
#130713752
#130713382
#130713372
#130713202
#130713172
#130712732
#130712702
#130711912
#130711212
C4×#669352
C2×#106225692
C11×#23582
#3440611