Finite Group Databasebeta

← #14917153

Subgroups — #14917153

Order 2816.

2890 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623136C211yesmaximal, characteristic
2#13071775C211yesmaximal, characteristic, complemented
3#13071774C211yesmaximal, characteristic, complemented
4#13071763C211yesmaximal, characteristic, complemented
5#13071756C211yesmaximal, characteristic, complemented
6#13071748C211yesmaximal, characteristic, complemented
7#13071652C211yesmaximal, characteristic, complemented
8#13071651C211yesmaximal, characteristic, complemented
9#13071615C211yesmaximal, characteristic, complemented
10#13071609C211yesmaximal, characteristic, complemented
11#13071607C211yesmaximal, characteristic, complemented
12#13071601C211yesmaximal, characteristic, complemented
13#13071598C211yesmaximal, characteristic, complemented
14#13071468C211yesmaximal, characteristic, complemented
15#13071458C211yesmaximal, characteristic, complemented
16#13071437C211yesmaximal, characteristic, complemented
17#13071434C211yesmaximal, characteristic, complemented
18#13071413C211yesmaximal, characteristic, complemented
19#13071408C211yesmaximal, characteristic, complemented
20#13071375C211yesmaximal, characteristic, complemented
21#13071311C211yesmaximal, characteristic, complemented
22#13071306C211yesmaximal, characteristic, complemented
23#13071279C211yesmaximal, characteristic, complemented
24#13071272C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071195C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2333C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic, complemented
41C2×#66983C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic, complemented
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
46C2×#66979C2211yescharacteristic, complemented
47#10623136C4116yescomplemented
48C2×#66947C2211yescharacteristic
49C2×#66947C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66945C2211yescharacteristic, complemented
52C2×#66936C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic, complemented
61C2×C22⋊C4×D11C2211yescharacteristic, complemented
62C2×#66930C2211yescharacteristic, complemented
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C11×#390C2211yescharacteristic, complemented
67C11×#390C2211yescharacteristic, complemented
68C11×#388C2211yescharacteristic, complemented
69C11×#388C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#386C2211yescharacteristic, complemented
73C11×#386C2211yescharacteristic, complemented
74C11×#386C2211yescharacteristic, complemented
75C11×#386C2211yescharacteristic, complemented
76C11×#381C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic, complemented
78C4×C11×C22⋊C4C2211yescharacteristic, complemented
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80#10622834C2211yescharacteristic, complemented
81#10622834C2211yescharacteristic, complemented
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic, complemented
84#10622833C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622825C2211yescharacteristic, complemented
88#10622823C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622603C2211yescharacteristic, complemented
92#10622601C2211yescharacteristic
93#10622600C2211yescharacteristic, complemented
94#10622598C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97#10622585C2211yescharacteristic, complemented
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic, complemented
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic, complemented
103#10622570C2211yescharacteristic, complemented
104#10622570C2211yescharacteristic, complemented
105#10622570C2211yescharacteristic, complemented
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic, complemented
112#10622569C2211yescharacteristic, complemented
113#10622569C2211yescharacteristic, complemented
114#10622569C2211yescharacteristic, complemented
115#10622569C2211yescharacteristic, complemented
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622568C2211yescharacteristic, complemented
119#10622568C2211yescharacteristic, complemented
120#10622568C2211yescharacteristic, complemented
121#10622568C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic, complemented
124#10622563C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622557C2211yescharacteristic, complemented
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622556C2211yescharacteristic, complemented
131#10622555C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133C22⋊C4×Dic11C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622552C2211yescharacteristic
138#10622552C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×C4⋊Dic11C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622283C2211yescharacteristic, complemented
152#10622283C2211yescharacteristic, complemented
153#10622283C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622280C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180D11×#95C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, 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
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×D4×D11—42no—
207C2×D4×D11—42no—
208C2×D4×D11—42no—
209C2×D4×D11—42no—
210C2×D4×D11C2×C418yescomplemented
211C2×D4×D11C2×C418yescomplemented
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×C4×D11—42no—
216C22×C4×D11—42no—
217C22×C4×D11—42no—
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C11×#121C2×C418yescomplemented
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
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
260#66992C2×C418yescomplemented
261#66992C2×C418yescomplemented
262#66990C2×C418yescomplemented
263#66990C2×C418yescomplemented
264D4×Dic11—42no—
265#66983C2×C418yescomplemented
266C4×C22⋊D11—42no—
267C4×C22⋊D11—42no—
268C2×(C2×D11)⋊C4—42no—
269C2×(C2×D11)⋊C4C2×C418yescomplemented
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(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
302#66979—42no—
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66947C2×C418yescomplemented
333#66947C2×C418yescomplemented
334#66946—42no—
335#66945—42no—
336#66936C2×C418yescomplemented
337#66936C2×C418yescomplemented
338#66935C2×C418yescomplemented
339#66935C2×C418yescomplemented
340(C22⋊D11)⋊C4—42no—
341(C22⋊D11)⋊C4—42no—
342C22⋊C4×D11—42no—
343C22⋊C4×D11—42no—
344C22⋊C4×D11—42no—
345C22⋊C4×D11—42no—
346#66930—42no—
347C4×D44—42no—
348C4×D44—42no—
349#66925—42no—
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34407—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×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×C414yescomplemented
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11C22×C414yes—
418C2×D4×C11C22×C414yes—
419C2×D4×C11C22×C414yescomplemented
420C22×C4×C11—22no—
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×C11C22×C414yescomplemented
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
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11C22×C414yes—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yes—
456C2×C22⋊D11C22×C414yes—
457C2×C22⋊D11C22×C414yes—
458C2×C22⋊D11C22×C414yescomplemented
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11C22×C414yescomplemented
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480D4×D11—416no—
481D4×D11—416no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44C22×C414yes—
489C2×D44C22×C414yes—
490C2×D44C22×C414yes—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—416no—
520C2×C4×D11C22×C414yes—
521C2×C4×D11C22×C414yescomplemented
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4C22×C414yescomplemented
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yescomplemented
537C42×C11—41no—
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C22⋊Dic11—22no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11C22×C414yes—
552C22⋊Dic11C22×C414yescomplemented
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—22no—
559(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
578(C2×D11)⋊C4C22×C414yes—
579(C2×D11)⋊C4C22×C414yes—
580(C2×D11)⋊C4C22×C414yes—
581(C2×D11)⋊C4C22×C414yescomplemented
582(C2×D11)⋊C4C22×C414yescomplemented
583(C2×D11)⋊C4C22×C414yescomplemented
584(C2×D11)⋊C4C22×C414yescomplemented
585C4⋊Dic11—22no—
586C4⋊Dic11—41no—
587C4⋊Dic11—41no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590C4⋊Dic11—41no—
591C4⋊Dic11C22×C414yescomplemented
592Dic11⋊C4—22no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4C22×C414yescomplemented
601Dic11⋊C4C22×C414yescomplemented
602C4×Dic11—22no—
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×Dic11—41no—
613C4×Dic11—41no—
614C2×#534—111no—
615#2377—111no—
616#2377—111no—
617#2376—111no—
618#2375—111no—
619#2374—111no—
620#2363—111no—
621#2363—111no—
622#2359—111no—
623#2359—111no—
624#2359—111no—
625#2359—111no—
626#2358—111no—
627#2342—111no—
628#2342—111no—
629D4×C22⋊C4—111no—
630D4×C22⋊C4—111no—
631#2335—111no—
632#2335—111no—
633#2333—111no—
634#2333D1111yescharacteristic, complemented
635#2324—111no—
636#2324—111no—
637#2321—111no—
638#2321—111no—
639#2321—111no—
640#2321—111no—
641#2309—111no—
642C4×#120—111no—
643C4×#120—111no—
644C2×#386—111no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11C23×C412yes—
664C23×C11C23×C412yes—
665C23×C11C23×C412yes—
666C23×C11C2511yescharacteristic
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—28no—
690C22×D11—28no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
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×D11C23×C412yes—
711C22×D11C23×C412yes—
712C22×D11C23×C412yes—
713C22×D11C23×C412yes—
714C22×D11H(5,𝔽2)12yes—
715C22×D11H(5,𝔽2)12yes—
716D4×C11—44no—
717D4×C11—44no—
718D4×C11—44no—
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—21no—
750C2×C4×C11—44no—
751C2×C4×C11—44no—
752C2×C4×C11—82no—
753C2×C4×C11C23×C412yes—
754C2×C4×C11C23×C412yes—
755C2×C4×C11C23×C412yes—
756C2×C4×C11C23×C412yes—
757C2×C4×C11H(5,𝔽2)12yes—
758C22⋊D11—28no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—44no—
763C22⋊D11—44no—
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—21no—
795C2×Dic11—44no—
796C2×Dic11—44no—
797C2×Dic11—82no—
798C2×Dic11C23×C412yes—
799C2×Dic11C23×C412yes—
800C2×Dic11C23×C412yes—
801C2×Dic11C23×C412yes—
802C2×Dic11H(5,𝔽2)12yes—
803D44—28no—
804D44—44no—
805D44—44no—
806C4×D11—28no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813C4×D11—82no—
814C4×D11—82no—
815C4×D11—82no—
816C23×D4—111no—
817C23×D4—111no—
818C24×C4—111no—
819#534—1116no—
820C2×#123—111no—
821C2×#123—111no—
822C2×#123—111no—
823C2×#123—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121C2×D1111yescharacteristic
828C2×#120—111no—
829C2×#120—111no—
830C2×#120—111no—
831C2×#120—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C2×C4×D4—111no—
840C2×#117—111no—
841C2×#117—111no—
842C2×#117—111no—
843C2×#117—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—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#390C2×D1111yescharacteristic, complemented
865#390C2×D1111yescharacteristic, complemented
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388C2×D1111yescharacteristic, complemented
893#388C2×D1111yescharacteristic, complemented
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387C2×D1111yescharacteristic, complemented
901#387C2×D1111yescharacteristic, complemented
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386C2×D1111yescharacteristic, complemented
923#386C2×D1111yescharacteristic, complemented
924#386C2×D1111yescharacteristic, complemented
925#386C2×D1111yescharacteristic, complemented
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385—111no—
938#381—111no—
939#381C2×D1111yescharacteristic, complemented
940#380—111no—
941#380—111no—
942#380—111no—
943#380—111no—
944#379—111no—
945#379—111no—
946#379—111no—
947#379—111no—
948#379—111no—
949#379—111no—
950C4×C4⋊C4—111no—
951C4×C4⋊C4—111no—
952C4×C4⋊C4—111no—
953C4×C4⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4C2×D1111yescharacteristic, complemented
968C4×C22⋊C4C2×D1111yescharacteristic, complemented
969C4×C22⋊C4C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11C24×C411yescharacteristic
994C22×C11C2×H(5,𝔽2)11yescharacteristic
995C22×C11C2×H(5,𝔽2)11yescharacteristic
996C22×C11C2×H(5,𝔽2)11yescharacteristic
997C22×C11C2×H(5,𝔽2)11yescharacteristic
998C22×C11#58511yescharacteristic
999C22×C11#58511yescharacteristic
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—416no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—88no—
1029C2×D11—88no—
1030C2×D11#51814yes—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—22no—
1035C4×C11—22no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—22no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C25—111no—
1056C25—111no—
1057C25—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—118no—
1065C22×D4—118no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—442no—
1070C22×D4—442no—
1071C22×D4—442no—
1072C22×D4—442no—
1073C22×D4C22×D1111yescharacteristic
1074C22×D4C22×D1111yescharacteristic
1075C22×D4C22×D1111yescharacteristic
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—442no—
1090C23×C4—442no—
1091C23×C4—442no—
1092C23×C4C22×D1111yescharacteristic
1093C23×C4C22×D1111yescharacteristic
1094C23×C4C22×D1111yescharacteristic
1095#123—118no—
1096#123—118no—
1097#123—118no—
1098#123—118no—
1099#121—118no—
1100#121—118no—
1101#121—118no—
1102#121C4×D1118yescomplemented
1103#120—118no—
1104#120—118no—
1105#120—118no—
1106#120—118no—
1107C4×D4—442no—
1108C4×D4—442no—
1109C4×D4—442no—
1110C4×D4—442no—
1111C4×D4—442no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115#117—442no—
1116#117—442no—
1117#117—442no—
1118#117—442no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—118no—
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—111no—
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×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42—111no—
1208C2×C42—111no—
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42C22×D1111yescharacteristic
1214C2×C42C22×D1111yescharacteristic
1215C2×C42C22×D1111yescharacteristic
1216C2×C42C22×D1111yescharacteristic
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
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—24no—
1260D11—42no—
1261D11—42no—
1262D11—42no—
1263C24—111no—
1264C24—111no—
1265C24—111no—
1266C24—111no—
1267C24—114no—
1268C24—114no—
1269C24—114no—
1270C24—222no—
1271C24—222no—
1272C24—222no—
1273C24—222no—
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—
1287C24—441no—
1288C24C23×D1111yescharacteristic
1289C24C23×D1111yescharacteristic
1290C24C23×D1111yescharacteristic
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
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—114no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—441no—
1311C2×D4—441no—
1312C2×D4—441no—
1313C2×D4—441no—
1314C2×D4—4416no—
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—441no—
1324C2×D4—441no—
1325C2×D4—4416no—
1326C2×D4C2×C4×D1114yes—
1327C2×D4C2×C4×D1114yes—
1328C2×D4C2×C4×D1114yescomplemented
1329C22×C4—22no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—114no—
1343C22×C4—114no—
1344C22×C4—114no—
1345C22×C4—111no—
1346C22×C4—111no—
1347C22×C4—111no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—4416no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4C2×C4×D1114yescomplemented
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—114no—
1405C4⋊C4—114no—
1406C4⋊C4—114no—
1407C4⋊C4—222no—
1408C4⋊C4—222no—
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⋊C4—441no—
1420C4⋊C4—441no—
1421C4⋊C4C2×C4×D1114yescomplemented
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—114no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—114no—
1439C22⋊C4—114no—
1440C22⋊C4—114no—
1441C22⋊C4—114no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
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⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4C2×C4×D1114yes—
1477C22⋊C4C2×C4×D1114yescomplemented
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—222no—
1483C42—222no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C42—441no—
1493C42—441no—
1494C11#3440711yescharacteristic, complemented, Sylow
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—112no—
1514C23—112no—
1515C23—112no—
1516C23—112no—
1517C23—112no—
1518C23—112no—
1519C23—228no—
1520C23—228no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—444no—
1544C23—444no—
1545C23—444no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23—882no—
1555C23—882no—
1556C23—882no—
1557C23—882no—
1558C23—882no—
1559C23—882no—
1560C23—882no—
1561C23—882no—
1562C23C22×C4×D1112yes—
1563C23C22×C4×D1112yes—
1564C23C22×C4×D1112yes—
1565C23C24×D1111yescharacteristic
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—228no—
1570D4—228no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—112no—
1617C2×C4—228no—
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—221no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4—882no—
1660C2×C4—882no—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4C22×C4×D1112yes—
1664C2×C4C22×C4×D1112yes—
1665C2×C4#6704212yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—114no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—4416no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—888no—
1717C22—888no—
1718C22C23×C4×D1111yescharacteristic
1719C22C2×#6704211yescharacteristic
1720C22#1062345311yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22D11×H(5,𝔽2)11yescharacteristic
1723C22D11×H(5,𝔽2)11yescharacteristic
1724C22#1062345511yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—222no—
1738C4—222no—
1739C4—222no—
1740C4—222no—
1741C4—222no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C2—42no—
1750C2—42no—
1751C2—42no—
1752C2—224no—
1753C2—442no—
1754C2—442no—
1755C2—442no—
1756C2D11×#51811yescharacteristic
1757C2#1308182011yescharacteristic
1758C2C4×#6704211yescharacteristic
1759C2#1308276711yescharacteristic
1760C2#1308277611yescharacteristic
1761C2#1308293111yescharacteristic
1762C2#1308293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2333C2
socle, cosocleC23×C11C25
prime radicalC2×#10623136C2
hypercenter#2333D11
hypocenterC11#34407
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #13071775C2semidirect
3. #13071774C2semidirect
4. #13071763C2semidirect
5. #13071756C2semidirect
6. #13071748C2semidirect
7. #13071652C2semidirect
8. #13071651C2semidirect
9. #13071615C2semidirect
10. #13071609C2semidirect
11. #13071607C2semidirect
12. #13071601C2semidirect
13. #13071598C2semidirect
14. #13071468C2semidirect
15. #13071458C2semidirect
16. #13071437C2semidirect
17. #13071434C2semidirect
18. #13071413C2semidirect
19. #13071408C2semidirect
20. #13071375C2semidirect
21. #13071311C2semidirect
22. #13071306C2semidirect
23. #13071279C2semidirect
24. #13071272C2semidirect
25. #13071272C2semidirect
26. #13071269C2semidirect
27. #13071195C2semidirect
28. #13071121C2semidirect
29. C4×#66935C2semidirect
30. D11×#386C2semidirect
31. C11×#2333C2semidirect
34. C23×C4×D11C22semidirect
40. C2×D4×Dic11C22semidirect
43. C2×C4×C22⋊D11C22semidirect
45. C22×(C2×D11)⋊C4C22semidirect
46. C2×#66979C22semidirect
47. #10623136C4semidirect
51. C2×#66945C22semidirect
57. C2×(C22⋊D11)⋊C4C22semidirect
60. C2×C22⋊C4×D11C22semidirect
61. C2×C22⋊C4×D11C22semidirect
62. C2×#66930C22semidirect
64. C2×C4×D44C22semidirect
65. C2×#66925C22semidirect
66. C11×#390C22semidirect
67. C11×#390C22semidirect
68. C11×#388C22semidirect
69. C11×#388C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
72. C11×#386C22semidirect
73. C11×#386C22semidirect
74. C11×#386C22semidirect
75. C11×#386C22semidirect
76. C11×#381C22semidirect
77. C4×C11×C22⋊C4C22semidirect
78. C4×C11×C22⋊C4C22semidirect
79. C4×C11×C22⋊C4C22semidirect
80. #10622834C22semidirect
81. #10622834C22semidirect
82. #10622834C22semidirect
83. #10622833C22semidirect
84. #10622833C22semidirect
86. #10622826C22semidirect
87. #10622825C22semidirect
88. #10622823C22semidirect
89. #10622823C22semidirect
90. #10622603C22semidirect
91. #10622603C22semidirect
93. #10622600C22semidirect
94. #10622598C22semidirect
95. #10622591C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. #10622585C22semidirect
99. #10622571C22semidirect
102. #10622570C22semidirect
103. #10622570C22semidirect
104. #10622570C22semidirect
105. #10622570C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
110. #10622569C22semidirect
111. #10622569C22semidirect
112. #10622569C22semidirect
113. #10622569C22semidirect
114. #10622569C22semidirect
115. #10622569C22semidirect
118. #10622568C22semidirect
119. #10622568C22semidirect
120. #10622568C22semidirect
121. #10622568C22semidirect
122. #10622564C22semidirect
123. #10622564C22semidirect
124. #10622563C22semidirect
125. #10622563C22semidirect
126. #10622557C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622556C22semidirect
131. #10622555C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. C22⋊C4×Dic11C22semidirect
134. C22⋊C4×Dic11C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
138. #10622552C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×C4⋊Dic11C22semidirect
145. #10622546C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. #10622541C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622283C22semidirect
152. #10622283C22semidirect
153. #10622283C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
156. #10622282C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
168. #10622280C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
172. #10622279C22semidirect
173. #10622279C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. D11×#95C22semidirect
181. D11×#95C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
210. C2×D4×D11C2×C4semidirect
211. C2×D4×D11C2×C4semidirect
228. C11×#121C2×C4semidirect
260. #66992C2×C4semidirect
261. #66992C2×C4semidirect
262. #66990C2×C4semidirect
263. #66990C2×C4semidirect
265. #66983C2×C4semidirect
269. C2×(C2×D11)⋊C4C2×C4semidirect
332. #66947C2×C4semidirect
333. #66947C2×C4semidirect
336. #66936C2×C4semidirect
337. #66936C2×C4semidirect
338. #66935C2×C4semidirect
339. #66935C2×C4semidirect
406. C23×D11C22×C4semidirect
419. C2×D4×C11C22×C4semidirect
428. C22×C4×C11C22×C4semidirect
458. C2×C22⋊D11C22×C4semidirect
467. C22×Dic11C22×C4semidirect
521. C2×C4×D11C22×C4semidirect
524. C11×C4⋊C4C22×C4semidirect
536. C11×C22⋊C4C22×C4semidirect
552. C22⋊Dic11C22×C4semidirect
581. (C2×D11)⋊C4C22×C4semidirect
582. (C2×D11)⋊C4C22×C4semidirect
583. (C2×D11)⋊C4C22×C4semidirect
584. (C2×D11)⋊C4C22×C4semidirect
591. C4⋊Dic11C22×C4semidirect
600. Dic11⋊C4C22×C4semidirect
601. Dic11⋊C4C22×C4semidirect
634. #2333D11semidirect
864. #390C2×D11semidirect
865. #390C2×D11semidirect
892. #388C2×D11semidirect
893. #388C2×D11semidirect
900. #387C2×D11semidirect
901. #387C2×D11semidirect
922. #386C2×D11semidirect
923. #386C2×D11semidirect
924. #386C2×D11semidirect
925. #386C2×D11semidirect
939. #381C2×D11semidirect
967. C4×C22⋊C4C2×D11semidirect
968. C4×C22⋊C4C2×D11semidirect
969. C4×C22⋊C4C2×D11semidirect
1102. #121C4×D11semidirect
1328. C2×D4C2×C4×D11semidirect
1389. C22×C4C2×C4×D11semidirect
1421. C4⋊C4C2×C4×D11semidirect
1477. C22⋊C4C2×C4×D11semidirect
1494. C11#34407semidirect

Maximal subgroups

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

subgroupindex
C2×#106231362
#130717752
#130717742
#130717632
#130717562
#130717482
#130716522
#130716512
#130716152
#130716092
#130716072
#130716012
#130715982
#130714682
#130714582
#130714372
#130714342
#130714132
#130714082
#130713752
#130713112
#130713062
#130712792
#130712722
#130712692
#130711952
#130711212
C4×#669352
D11×#3862
C11×#23332
#3440711