Finite Group Databasebeta

← #14917736

Subgroups — #14917736

Order 2816.

2810 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×#10623136C211yesmaximal, characteristic
2#13071765C211yesmaximal, characteristic, complemented
3#13071761C211yesmaximal, characteristic, complemented
4#13071756C211yesmaximal, characteristic, complemented
5#13071753C211yesmaximal, characteristic, complemented
6#13071745C211yesmaximal, characteristic, complemented
7#13071744C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic, complemented
9#13071666C211yesmaximal, characteristic, complemented
10#13071632C211yesmaximal, characteristic, complemented
11#13071593C211yesmaximal, characteristic, complemented
12#13071592C211yesmaximal, characteristic, complemented
13#13071434C211yesmaximal, characteristic, complemented
14#13071434C211yesmaximal, characteristic, complemented
15D4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
16D4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
17#13071409C211yesmaximal, characteristic, complemented
18#13071404C211yesmaximal, characteristic, complemented
19#13071401C211yesmaximal, characteristic, complemented
20#13071400C211yesmaximal, characteristic, complemented
21#13071317C211yesmaximal, characteristic, complemented
22#13071314C211yesmaximal, characteristic, complemented
23#13071275C211yesmaximal, characteristic, complemented
24#13071273C211yesmaximal, characteristic, complemented
25#13071270C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071211C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C4×#66992C211yesmaximal, characteristic, complemented
30C2×#10622603C211yesmaximal, characteristic, complemented
31C11×#2361C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C22×C11×C4⋊C4C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic, complemented
44C2×D4×Dic11C2211yescharacteristic, complemented
45C2×#66983C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic, complemented
47C2×C4×C22⋊D11C2211yescharacteristic, complemented
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C22×(C2×D11)⋊C4C2211yescharacteristic
50C22×(C2×D11)⋊C4C2211yescharacteristic
51C22×(C2×D11)⋊C4C2211yescharacteristic
52C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
53C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
54C22×C4×Dic11C2211yescharacteristic, complemented
55#10623136C4116yescomplemented
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66946C2211yescharacteristic, complemented
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
64C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D11C2211yescharacteristic, complemented
67C2×C22⋊C4×D11C2211yescharacteristic, complemented
68C11×#390C2211yescharacteristic, complemented
69C11×#389C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#388C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic, complemented
73C11×#386C2211yescharacteristic, complemented
74C11×#385C2211yescharacteristic, complemented
75C11×#385C2211yescharacteristic, complemented
76C4×C11×C4⋊C4C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic, complemented
81#10622833C2211yescharacteristic, complemented
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic, complemented
86#10622826C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic, complemented
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622603C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622601C2211yescharacteristic
107#10622601C2211yescharacteristic
108#10622601C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622600C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114C4⋊C4×Dic11C2211yescharacteristic, complemented
115#10622586C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic, complemented
127#10622570C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic, complemented
133#10622568C2211yescharacteristic, complemented
134#10622568C2211yescharacteristic, complemented
135#10622568C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622559C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622555C2211yescharacteristic, complemented
144#10622555C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic, complemented
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622552C2211yescharacteristic
156#10622552C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
162#10622546C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic, complemented
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C2×D4×D11—42no—
211C2×D4×D11—42no—
212C2×D4×D11—42no—
213C2×D4×D11—42no—
214C2×D4×D11C2×C418yescomplemented
215C2×D4×D11C2×C418yescomplemented
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C11×#121C2×C418yescomplemented
226C4×D4×C11—42no—
227C4×D4×C11—42no—
228C4×D4×C11—42no—
229C2×C11×C4⋊C4—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261#66992C2×C418yescomplemented
262#66992C2×C418yescomplemented
263#66990C2×C418yescomplemented
264#66990C2×C418yescomplemented
265D4×Dic11—42no—
266D4×Dic11—42no—
267#66983C2×C418yescomplemented
268C4×C22⋊D11—42no—
269C4×C22⋊D11—42no—
270C4×C22⋊D11—42no—
271C2×(C2×D11)⋊C4—42no—
272C2×(C2×D11)⋊C4—42no—
273C2×(C2×D11)⋊C4—42no—
274C2×(C2×D11)⋊C4—42no—
275C2×(C2×D11)⋊C4C2×C418yescomplemented
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11—42no—
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338#66947C2×C418yescomplemented
339#66947C2×C418yescomplemented
340#66946—42no—
341#66936C2×C418yescomplemented
342#66936C2×C418yescomplemented
343#66935C2×C418yescomplemented
344#66935C2×C418yescomplemented
345(C22⋊D11)⋊C4—42no—
346(C22⋊D11)⋊C4—42no—
347(C22⋊D11)⋊C4—42no—
348C22⋊C4×D11—42no—
349C22⋊C4×D11—42no—
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34437—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—41no—
389C23×D11—41no—
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×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11C22×C414yes—
405C23×D11C22×C414yes—
406C23×D11C22×C414yes—
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11C22×C414yes—
418C2×D4×C11C22×C414yes—
419C2×D4×C11C22×C414yes—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11C22×C414yes—
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
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⋊D11C22×C414yes—
460C2×C22⋊D11C22×C414yes—
461C2×C22⋊D11C22×C414yes—
462C2×C22⋊D11C22×C414yes—
463C2×C22⋊D11C22×C414yes—
464C2×C22⋊D11C22×C414yes—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11C22×C414yes—
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492D4×D11—416no—
493D4×D11—416no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44C22×C414yes—
501C2×D44C22×C414yes—
502C2×D44C22×C414yes—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11C22×C414yes—
520C2×C4×D11C22×C414yes—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4C22×C414yes—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4C22×C414yes—
537C11×C22⋊C4C22×C414yes—
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11C22×C414yes—
551C22⋊Dic11C22×C414yes—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4C22×C414yes—
581(C2×D11)⋊C4C22×C414yes—
582(C2×D11)⋊C4C22×C414yes—
583(C2×D11)⋊C4C22×C414yes—
584(C2×D11)⋊C4C22×C414yes—
585(C2×D11)⋊C4C22×C414yes—
586(C2×D11)⋊C4C22×C414yes—
587(C2×D11)⋊C4C22×C414yes—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590C4⋊Dic11C22×C414yes—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4C22×C414yes—
600Dic11⋊C4C22×C414yes—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—41no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C2×#534—111no—
614#2376—111no—
615#2376—111no—
616#2375—111no—
617#2375—111no—
618#2374—111no—
619#2374—111no—
620#2364—111no—
621#2364—111no—
622#2361—111no—
623#2361D1111yescharacteristic, complemented
624#2358—111no—
625#2358—111no—
626D4×C22⋊C4—111no—
627D4×C22⋊C4—111no—
628D4×C22⋊C4—111no—
629D4×C22⋊C4—111no—
630#2335—111no—
631#2335—111no—
632#2335—111no—
633#2335—111no—
634#2325—111no—
635#2325—111no—
636#2321—111no—
637#2321—111no—
638#2321—111no—
639#2321—111no—
640#2312—111no—
641C4×#121—111no—
642C4×#121—111no—
643C2×#388—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11C23×C412yes—
661C23×C11C23×C412yes—
662C23×C11C23×C412yes—
663C23×C11H(5,𝔽2)12yes—
664C23×C11H(5,𝔽2)12yes—
665C23×C11C2511yescharacteristic
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
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×D11—82no—
704C22×D11—82no—
705C22×D11—82no—
706C22×D11—82no—
707C22×D11—82no—
708C22×D11—82no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11C23×C412yes—
712C22×D11C23×C412yes—
713C22×D11C23×C412yes—
714C22×D11C23×C412yes—
715D4×C11—28no—
716D4×C11—28no—
717D4×C11—44no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—44no—
750C2×C4×C11—44no—
751C2×C4×C11—82no—
752C2×C4×C11—82no—
753C2×C4×C11—82no—
754C2×C4×C11C23×C412yes—
755C2×C4×C11C23×C412yes—
756C2×C4×C11C23×C412yes—
757C2×C4×C11C23×C412yes—
758C2×C4×C11H(5,𝔽2)12yes—
759C22⋊D11—28no—
760C22⋊D11—28no—
761C22⋊D11—44no—
762C22⋊D11—44no—
763C22⋊D11—44no—
764C22⋊D11—44no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—44no—
797C2×Dic11—44no—
798C2×Dic11—82no—
799C2×Dic11—82no—
800C2×Dic11—82no—
801C2×Dic11C23×C412yes—
802C2×Dic11C23×C412yes—
803C2×Dic11C23×C412yes—
804C2×Dic11C23×C412yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—44no—
807D44—44no—
808D44—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—82no—
812C4×D11—82no—
813C4×D11—82no—
814C4×D11—82no—
815C23×D4—111no—
816C23×D4—111no—
817#534—1116no—
818C2×#123—111no—
819C2×#123—111no—
820C2×#123—111no—
821C2×#123—111no—
822C2×#121—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#121C2×D1111yescharacteristic
826C2×#120—111no—
827C2×#120—111no—
828C2×#120—111no—
829C2×#120—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C2×C4×D4C2×D1111yescharacteristic, complemented
840C2×C4×D4C2×D1111yescharacteristic, complemented
841C2×C4×D4C2×D1111yescharacteristic, complemented
842C22×C4⋊C4C2×D1111yescharacteristic, complemented
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4—111no—
849C22×C22⋊C4—111no—
850C22×C42—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390C2×D1111yescharacteristic, complemented
863#389—111no—
864#389—111no—
865#389—111no—
866#389C2×D1111yescharacteristic, complemented
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#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388C2×D1111yescharacteristic, complemented
898#388C2×D1111yescharacteristic, complemented
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#387—111no—
904#387—111no—
905#387—111no—
906#387—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386C2×D1111yescharacteristic, complemented
930#386C2×D1111yescharacteristic, complemented
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385C2×D1111yescharacteristic, complemented
938#385C2×D1111yescharacteristic, complemented
939#380—111no—
940#380—111no—
941#380—111no—
942#380—111no—
943#380—111no—
944#380—111no—
945#379—111no—
946#379—111no—
947#379—111no—
948#379—111no—
949#379—111no—
950#379—111no—
951C4×C4⋊C4—111no—
952C4×C4⋊C4—111no—
953C4×C4⋊C4—111no—
954C4×C4⋊C4C2×D1111yescharacteristic, complemented
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4—111no—
968C4×C22⋊C4C2×D1111yescharacteristic, complemented
969C2×#95—111no—
970C2×#95—111no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
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#51814yes—
992C22×C11C24×C411yescharacteristic
993C22×C11C2×H(5,𝔽2)11yescharacteristic
994C22×C11C2×H(5,𝔽2)11yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11C2×H(5,𝔽2)11yescharacteristic
997C22×C11#58511yescharacteristic
998C22×C11#58511yescharacteristic
999C2×D11—22no—
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—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—88no—
1028C2×D11—88no—
1029C2×D11—88no—
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—
1056C25—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—118no—
1064C22×D4—118no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—442no—
1069C22×D4—442no—
1070C22×D4—442no—
1071C22×D4—442no—
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C22×D4C22×D1111yescharacteristic
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4C22×D1111yescharacteristic
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#123—118no—
1092#123—118no—
1093#123—118no—
1094#123—118no—
1095#121—118no—
1096#121—118no—
1097#121—118no—
1098#121C4×D1118yescomplemented
1099#120—118no—
1100#120—118no—
1101#120—118no—
1102#120—118no—
1103C4×D4—42no—
1104C4×D4—42no—
1105C4×D4—42no—
1106C4×D4—442no—
1107C4×D4—442no—
1108C4×D4—442no—
1109C4×D4—442no—
1110C4×D4—442no—
1111C4×D4—442no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115C2×C4⋊C4—42no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
1134C2×C4⋊C4C22×D1111yescharacteristic
1135C2×C4⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—118no—
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—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—442no—
1184C2×C22⋊C4—442no—
1185C2×C22⋊C4—442no—
1186C2×C22⋊C4—442no—
1187C2×C22⋊C4—442no—
1188C2×C22⋊C4—442no—
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42—111no—
1208C2×C42—111no—
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—442no—
1212C2×C42C22×D1111yescharacteristic
1213C2×C42C22×D1111yescharacteristic
1214C2×C42C22×D1111yescharacteristic
1215C2×C42C22×D1111yescharacteristic
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×C11C2×#51811yescharacteristic
1252C2×C11C4×H(5,𝔽2)11yescharacteristic
1253C2×C11C4×H(5,𝔽2)11yescharacteristic
1254C2×C11#353411yescharacteristic
1255C2×C11#353711yescharacteristic
1256C2×C11#355811yescharacteristic
1257C2×C11#356011yescharacteristic
1258D11—42no—
1259D11—42no—
1260D11—42no—
1261D11—42no—
1262C24—111no—
1263C24—111no—
1264C24—111no—
1265C24—111no—
1266C24—114no—
1267C24—114no—
1268C24—114no—
1269C24—222no—
1270C24—222no—
1271C24—441no—
1272C24—441no—
1273C24—441no—
1274C24—441no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24—441no—
1281C24—441no—
1282C24—441no—
1283C24—441no—
1284C24—441no—
1285C24—441no—
1286C24—441no—
1287C24C23×D1111yescharacteristic
1288C24C23×D1111yescharacteristic
1289C24C23×D1111yescharacteristic
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—41no—
1295C2×D4—41no—
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—441no—
1316C2×D4—441no—
1317C2×D4—441no—
1318C2×D4—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—4416no—
1324C2×D4—4416no—
1325C2×D4C2×C4×D1114yes—
1326C2×D4C2×C4×D1114yes—
1327C2×D4C2×C4×D1114yes—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—111no—
1346C22×C4—111no—
1347C22×C4—114no—
1348C22×C4—114no—
1349C22×C4—114no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4C2×C4×D1114yes—
1388C22×C4C23×D1111yescharacteristic
1389C22×C4C23×D1111yescharacteristic
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—114no—
1407C4⋊C4—114no—
1408C4⋊C4—114no—
1409C4⋊C4—441no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C4⋊C4—441no—
1419C4⋊C4C2×C4×D1114yes—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—114no—
1429C22⋊C4—114no—
1430C22⋊C4—114no—
1431C22⋊C4—114no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—114no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4C2×C4×D1114yes—
1475C22⋊C4C2×C4×D1114yes—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C42—222no—
1481C42—222no—
1482C42—441no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C11#3443711yescharacteristic, complemented, Sylow
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—112no—
1510C23—112no—
1511C23—112no—
1512C23—112no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
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—228no—
1538C23—444no—
1539C23—444no—
1540C23—444no—
1541C23—444no—
1542C23—444no—
1543C23—444no—
1544C23—444no—
1545C23—444no—
1546C23—882no—
1547C23—882no—
1548C23—882no—
1549C23—882no—
1550C23—882no—
1551C23—882no—
1552C23—882no—
1553C23—882no—
1554C23—882no—
1555C23—882no—
1556C23—882no—
1557C23—882no—
1558C23C22×C4×D1112yes—
1559C23C22×C4×D1112yes—
1560C23C22×C4×D1112yes—
1561C23#6703712yes—
1562C23#6704212yes—
1563C23C24×D1111yescharacteristic
1564D4—28no—
1565D4—28no—
1566D4—44no—
1567D4—228no—
1568D4—228no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—444no—
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—21no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—112no—
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—882no—
1653C2×C4—882no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4C22×C4×D1112yes—
1660C2×C4C22×C4×D1112yes—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4#6703712yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—222no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—222no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—888no—
1713C22—888no—
1714C22—888no—
1715C22#1062307614yes—
1716C22C23×C4×D1111yescharacteristic
1717C22C2×#6703711yescharacteristic
1718C22C2×#6703711yescharacteristic
1719C22C2×#6704211yescharacteristic
1720C22#1062345311yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22#1062345711yescharacteristic
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—24no—
1748C2—42no—
1749C2—42no—
1750C2—442no—
1751C2—442no—
1752C2—442no—
1753C2—442no—
1754C2C2×#1062307611yescharacteristic
1755C2C4×#6703711yescharacteristic
1756C2#1308182211yescharacteristic
1757C2#1308279311yescharacteristic
1758C2#1308284611yescharacteristic
1759C2#1308313311yescharacteristic
1760C2#1308316411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2361C2
socle, cosocleC23×C11C25
prime radicalC2×#10623136C2
hypercenter#2361D11
hypocenterC11#34437
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. #13071765C2semidirect
3. #13071761C2semidirect
4. #13071756C2semidirect
5. #13071753C2semidirect
6. #13071745C2semidirect
7. #13071744C2semidirect
8. #13071668C2semidirect
9. #13071666C2semidirect
10. #13071632C2semidirect
11. #13071593C2semidirect
12. #13071592C2semidirect
13. #13071434C2semidirect
14. #13071434C2semidirect
15. D4×(C2×D11)⋊C4C2semidirect
16. D4×(C2×D11)⋊C4C2semidirect
17. #13071409C2semidirect
18. #13071404C2semidirect
19. #13071401C2semidirect
20. #13071400C2semidirect
21. #13071317C2semidirect
22. #13071314C2semidirect
23. #13071275C2semidirect
24. #13071273C2semidirect
25. #13071270C2semidirect
26. #13071269C2semidirect
27. #13071211C2semidirect
28. #13071126C2semidirect
29. C4×#66992C2semidirect
30. C2×#10622603C2semidirect
31. C11×#2361C2semidirect
35. C2×C4×D4×C11C22semidirect
36. C2×C4×D4×C11C22semidirect
37. C2×C4×D4×C11C22semidirect
38. C22×C11×C4⋊C4C22semidirect
43. C2×D4×Dic11C22semidirect
44. C2×D4×Dic11C22semidirect
46. C2×C4×C22⋊D11C22semidirect
47. C2×C4×C22⋊D11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
52. C22×(C2×D11)⋊C4C22semidirect
53. C22×(C2×D11)⋊C4C22semidirect
54. C22×C4×Dic11C22semidirect
55. #10623136C4semidirect
58. C2×#66946C22semidirect
63. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×(C22⋊D11)⋊C4C22semidirect
65. C2×(C22⋊D11)⋊C4C22semidirect
66. C2×C22⋊C4×D11C22semidirect
67. C2×C22⋊C4×D11C22semidirect
68. C11×#390C22semidirect
69. C11×#389C22semidirect
70. C11×#388C22semidirect
71. C11×#388C22semidirect
72. C11×#386C22semidirect
73. C11×#386C22semidirect
74. C11×#385C22semidirect
75. C11×#385C22semidirect
76. C4×C11×C4⋊C4C22semidirect
77. C4×C11×C22⋊C4C22semidirect
78. #10622833C22semidirect
79. #10622833C22semidirect
80. #10622833C22semidirect
81. #10622833C22semidirect
84. #10622826C22semidirect
85. #10622826C22semidirect
86. #10622826C22semidirect
87. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C2×C11⋊#95C22semidirect
91. C2×C11⋊#95C22semidirect
92. #10622603C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
95. #10622603C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
99. #10622603C22semidirect
100. #10622603C22semidirect
101. #10622603C22semidirect
102. #10622603C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
108. #10622601C22semidirect
109. #10622600C22semidirect
110. #10622600C22semidirect
111. #10622594C22semidirect
112. #10622594C22semidirect
113. #10622591C22semidirect
114. C4⋊C4×Dic11C22semidirect
115. #10622586C22semidirect
116. #10622585C22semidirect
119. #10622571C22semidirect
120. #10622571C22semidirect
121. #10622571C22semidirect
126. #10622570C22semidirect
127. #10622570C22semidirect
128. #10622569C22semidirect
129. #10622569C22semidirect
132. #10622568C22semidirect
133. #10622568C22semidirect
134. #10622568C22semidirect
135. #10622568C22semidirect
136. #10622564C22semidirect
137. #10622564C22semidirect
138. #10622559C22semidirect
139. #10622558C22semidirect
140. #10622558C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622555C22semidirect
144. #10622555C22semidirect
145. C22⋊C4×Dic11C22semidirect
146. C22⋊C4×Dic11C22semidirect
147. C22⋊C4×Dic11C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. #10622553C22semidirect
152. #10622553C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×(C2×D11)⋊C4C22semidirect
160. C4×(C2×D11)⋊C4C22semidirect
161. C4×(C2×D11)⋊C4C22semidirect
162. #10622546C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622282C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622281C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
173. #10622279C22semidirect
174. #10622279C22semidirect
175. #10622279C22semidirect
180. #10622278C22semidirect
181. #10622278C22semidirect
182. #10622268C22semidirect
183. #10622266C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
214. C2×D4×D11C2×C4semidirect
215. C2×D4×D11C2×C4semidirect
225. C11×#121C2×C4semidirect
261. #66992C2×C4semidirect
262. #66992C2×C4semidirect
263. #66990C2×C4semidirect
264. #66990C2×C4semidirect
267. #66983C2×C4semidirect
275. C2×(C2×D11)⋊C4C2×C4semidirect
338. #66947C2×C4semidirect
339. #66947C2×C4semidirect
341. #66936C2×C4semidirect
342. #66936C2×C4semidirect
343. #66935C2×C4semidirect
344. #66935C2×C4semidirect
623. #2361D11semidirect
839. C2×C4×D4C2×D11semidirect
840. C2×C4×D4C2×D11semidirect
841. C2×C4×D4C2×D11semidirect
842. C22×C4⋊C4C2×D11semidirect
862. #390C2×D11semidirect
866. #389C2×D11semidirect
897. #388C2×D11semidirect
898. #388C2×D11semidirect
929. #386C2×D11semidirect
930. #386C2×D11semidirect
937. #385C2×D11semidirect
938. #385C2×D11semidirect
954. C4×C4⋊C4C2×D11semidirect
968. C4×C22⋊C4C2×D11semidirect
1098. #121C4×D11semidirect
1492. C11#34437semidirect

Maximal subgroups

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

subgroupindex
C2×#106231362
#130717652
#130717612
#130717562
#130717532
#130717452
#130717442
#130716682
#130716662
#130716322
#130715932
#130715922
#130714342
D4×(C2×D11)⋊C42
#130714092
#130714042
#130714012
#130714002
#130713172
#130713142
#130712752
#130712732
#130712702
#130712692
#130712112
#130711262
C4×#669922
C2×#106226032
C11×#23612
#3443711