Finite Group Databasebeta

← #14917168

Subgroups — #14917168

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×#10623184C211yesmaximal, characteristic
2#13071772C211yesmaximal, characteristic, complemented
3#13071769C211yesmaximal, characteristic, complemented
4#13071760C211yesmaximal, characteristic, complemented
5#13071756C211yesmaximal, characteristic, complemented
6#13071747C211yesmaximal, characteristic, complemented
7#13071655C211yesmaximal, characteristic, complemented
8#13071649C211yesmaximal, characteristic, complemented
9#13071598C211yesmaximal, characteristic, complemented
10#13071594C211yesmaximal, characteristic, complemented
11#13071594C211yesmaximal, characteristic, complemented
12#13071594C211yesmaximal, characteristic, complemented
13#13071592C211yesmaximal, characteristic, complemented
14#13071460C211yesmaximal, characteristic, complemented
15#13071460C211yesmaximal, characteristic, complemented
16C22⋊C4×D44C211yesmaximal, characteristic, complemented
17#13071436C211yesmaximal, characteristic, complemented
18#13071410C211yesmaximal, characteristic, complemented
19#13071380C211yesmaximal, characteristic, complemented
20#13071380C211yesmaximal, characteristic, complemented
21#13071310C211yesmaximal, characteristic, complemented
22#13071307C211yesmaximal, characteristic, complemented
23#13071289C211yesmaximal, characteristic, complemented
24#13071280C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071272C211yesmaximal, characteristic, complemented
27#13071190C211yesmaximal, characteristic, complemented
28C4×#66947C211yesmaximal, characteristic, complemented
29#13071137C211yesmaximal, characteristic, complemented
30D11×#390C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic, complemented
38C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
39#10623184C4116yescomplemented
40C2×#66948C2211yescharacteristic
41C2×#66948C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic, complemented
47C2×C4⋊C4×D11C2211yescharacteristic, complemented
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic, complemented
59C2×C22⋊C4×D11C2211yescharacteristic, complemented
60C2×C22⋊C4×D11C2211yescharacteristic, complemented
61C2×C22⋊C4×D11C2211yescharacteristic, complemented
62C2×C4×D44C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C2×#66925C2211yescharacteristic, complemented
67C2×C42×D11C2211yescharacteristic, complemented
68C11×#390C2211yescharacteristic
69C11×#389C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic, complemented
71C11×#388C2211yescharacteristic, complemented
72C11×#388C2211yescharacteristic, complemented
73C11×#388C2211yescharacteristic, complemented
74C11×#387C2211yescharacteristic, complemented
75C11×#387C2211yescharacteristic, complemented
76C11×#386C2211yescharacteristic
77C11×#385C2211yescharacteristic, complemented
78C11×#380C2211yescharacteristic, complemented
79C4×C11×C4⋊C4C2211yescharacteristic, complemented
80C4×C11×C22⋊C4C2211yescharacteristic, complemented
81C4×C11×C22⋊C4C2211yescharacteristic, complemented
82#10622834C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622826C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic, complemented
86#10622825C2211yescharacteristic, complemented
87C4×C22⋊Dic11C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622603C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic, complemented
96#10622601C2211yescharacteristic, complemented
97#10622601C2211yescharacteristic, complemented
98#10622601C2211yescharacteristic, complemented
99#10622601C2211yescharacteristic, complemented
100#10622600C2211yescharacteristic, complemented
101#10622600C2211yescharacteristic, complemented
102#10622598C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622571C2211yescharacteristic, complemented
109#10622571C2211yescharacteristic, complemented
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic, complemented
113#10622570C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic, complemented
123#10622568C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133C22⋊C4×Dic11C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622552C2211yescharacteristic, complemented
138#10622552C2211yescharacteristic, complemented
139#10622552C2211yescharacteristic, complemented
140#10622552C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146#10622546C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622277C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C2×D4×D11—42no—
200C2×D4×D11—42no—
201C2×D4×D11C2×C418yescomplemented
202C22×D44—42no—
203C22×D44—42no—
204C22×D44C2×C418yescomplemented
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C11×#123C2×C418yescomplemented
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊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×C42×C11C2311yescharacteristic
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
256#66990C2×C418yescomplemented
257#66982C2×C418yescomplemented
258C4×C22⋊D11—42no—
259C2×(C2×D11)⋊C4—42no—
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66948C2×C418yescomplemented
323#66948C2×C418yescomplemented
324#66947C2×C418yescomplemented
325#66947C2×C418yescomplemented
326#66946—42no—
327#66946—42no—
328#66946—42no—
329C4⋊C4×D11—42no—
330#66937C2×C418yescomplemented
331#66937C2×C418yescomplemented
332#66935C2×C418yescomplemented
333#66935C2×C418yescomplemented
334#66935C2×C418yescomplemented
335(C22⋊D11)⋊C4—42no—
336C22⋊C4×D11—42no—
337C22⋊C4×D11—42no—
338C22⋊C4×D11—42no—
339C22⋊C4×D11—42no—
340C22⋊C4×D11—42no—
341C22⋊C4×D11—42no—
342C22⋊C4×D11—42no—
343C22⋊C4×D11C2×C418yescomplemented
344C4×D44—42no—
345C4×D44—42no—
346C4×D44—42no—
347#66925—42no—
348#66925—42no—
349C42×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#34408—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C23×D11—22no—
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
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×D11C22×C414yes—
404C23×D11C22×C414yes—
405C23×D11C22×C414yes—
406C23×D11C2411yescharacteristic
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11C22×C414yes—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11C22×C414yes—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yes—
443C2×C22⋊D11C22×C414yes—
444C2×C22⋊D11C22×C414yes—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459D4×D11—416no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—416no—
475C2×D44C22×C414yes—
476C2×D44C22×C414yes—
477C2×D44C22×C414yes—
478C2×D44C22×C414yes—
479C2×D44C22×C414yes—
480C2×D44C22×C414yes—
481C2×D44C22×C414yes—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
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×D11C22×C414yes—
519C2×C4×D11C22×C414yes—
520C2×C4×D11C22×C414yes—
521C11×C4⋊C4—41no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4C22×C414yes—
527C11×C4⋊C4C22×C414yes—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yes—
537C11×C22⋊C4C22×C414yes—
538C42×C11—22no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C42×C11—41no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11C22×C414yes—
551(C2×D11)⋊C4—22no—
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—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
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)⋊C4—41no—
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—
588(C2×D11)⋊C4C22×C414yes—
589C4⋊Dic11—41no—
590C4⋊Dic11—41no—
591C4⋊Dic11—41no—
592C4⋊Dic11—41no—
593C4⋊Dic11—41no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4C22×C414yes—
601Dic11⋊C4C22×C414yes—
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#2377—111no—
615#2377—111no—
616#2376—111no—
617#2375—111no—
618#2374—111no—
619#2363—111no—
620#2363—111no—
621#2358—111no—
622#2358—111no—
623#2358—111no—
624#2358—111no—
625#2358—111no—
626#2342—111no—
627#2342—111no—
628D4×C22⋊C4—111no—
629D4×C22⋊C4—111no—
630#2335—111no—
631#2335D1111yescharacteristic, complemented
632#2333—111no—
633#2333—111no—
634#2324—111no—
635#2324—111no—
636#2322—111no—
637#2322—111no—
638#2321—111no—
639#2321—111no—
640#2308—111no—
641C4×#123—111no—
642C4×#123—111no—
643C2×#390—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×C11C23×C412yes—
657C23×C11C23×C412yes—
658C23×C11C2511yescharacteristic
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
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—28no—
688C22×D11—28no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—82no—
697C22×D11—82no—
698C22×D11—82no—
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×D11C23×C412yes—
709C22×D11C23×C412yes—
710C22×D11C23×C412yes—
711C22×D11C23×C412yes—
712C22×D11C23×C412yes—
713C22×D11H(5,𝔽2)12yes—
714C22×D11H(5,𝔽2)12yes—
715D4×C11—44no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—44no—
750C2×C4×C11—82no—
751C2×C4×C11C23×C412yes—
752C2×C4×C11C23×C412yes—
753C2×C4×C11C23×C412yes—
754C2×C4×C11C23×C412yes—
755C2×C4×C11C23×C412yes—
756C2×C4×C11H(5,𝔽2)12yes—
757C22⋊D11—44no—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—44no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—82no—
791C2×Dic11C23×C412yes—
792C2×Dic11C23×C412yes—
793C2×Dic11C23×C412yes—
794C2×Dic11H(5,𝔽2)12yes—
795D44—28no—
796D44—28no—
797D44—44no—
798D44—44no—
799D44—44no—
800D44—44no—
801D44—44no—
802C4×D11—28no—
803C4×D11—44no—
804C4×D11—44no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—82no—
808C4×D11—82no—
809C4×D11—82no—
810C4×D11—82no—
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×#123C2×D1111yescharacteristic
822C2×#121—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#121—111no—
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×#117—111no—
839C2×#117—111no—
840C22×C4⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4—111no—
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#390—111no—
863#390—111no—
864#390—111no—
865#390—111no—
866#390C2×D1111yescharacteristic
867#389—111no—
868#389—111no—
869#389—111no—
870#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
892#388C2×D1111yescharacteristic, complemented
893#388C2×D1111yescharacteristic, complemented
894#388C2×D1111yescharacteristic, complemented
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387C2×D1111yescharacteristic, complemented
902#387C2×D1111yescharacteristic, complemented
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386C2×D1111yescharacteristic
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#385C2×D1111yescharacteristic, complemented
939#381—111no—
940#381—111no—
941#381—111no—
942#381—111no—
943#380—111no—
944#380—111no—
945#380—111no—
946#380C2×D1111yescharacteristic, complemented
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⋊C4—111no—
969C4×C22⋊C4C2×D1111yescharacteristic, complemented
970C4×C22⋊C4C2×D1111yescharacteristic, complemented
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11C24×C411yescharacteristic
986C22×C11C2×H(5,𝔽2)11yescharacteristic
987C22×C11C2×H(5,𝔽2)11yescharacteristic
988C22×C11C2×H(5,𝔽2)11yescharacteristic
989C22×C11C2×H(5,𝔽2)11yescharacteristic
990C22×C11#58511yescharacteristic
991C22×C11#58511yescharacteristic
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
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—41no—
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—88no—
1027C2×D11—88no—
1028C2×D11—88no—
1029C2×D11#51814yes—
1030C4×C11—22no—
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—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—118no—
1062C22×D4—118no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—442no—
1071C22×D4—442no—
1072C22×D4—442no—
1073C22×D4—442no—
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×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#123—118no—
1092#123—118no—
1093#123—118no—
1094#123C4×D1118yescomplemented
1095#121—118no—
1096#121—118no—
1097#121—118no—
1098#121—118no—
1099#120—118no—
1100#120—118no—
1101#120—118no—
1102#120—118no—
1103C4×D4—442no—
1104C4×D4—442no—
1105C4×D4—442no—
1106C4×D4—442no—
1107C4×D4—442no—
1108C4×D4—442no—
1109C4×D4—442no—
1110C4×D4—442no—
1111#117—442no—
1112#117—442no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
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—442no—
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—118no—
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—442no—
1182C2×C22⋊C4—442no—
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—442no—
1211C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248C2×C11—42no—
1249C2×C11—42no—
1250C2×C11C2×#51811yescharacteristic
1251C2×C11C4×H(5,𝔽2)11yescharacteristic
1252C2×C11C4×H(5,𝔽2)11yescharacteristic
1253C2×C11#353411yescharacteristic
1254C2×C11#353411yescharacteristic
1255C2×C11#354311yescharacteristic
1256C2×C11#354511yescharacteristic
1257D11—24no—
1258D11—42no—
1259D11—42no—
1260D11—42no—
1261D11—42no—
1262C24—111no—
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
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—114no—
1293C2×D4—114no—
1294C2×D4—114no—
1295C2×D4—114no—
1296C2×D4—114no—
1297C2×D4—114no—
1298C2×D4—114no—
1299C2×D4—114no—
1300C2×D4—114no—
1301C2×D4—114no—
1302C2×D4—114no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—441no—
1308C2×D4—441no—
1309C2×D4—441no—
1310C2×D4—441no—
1311C2×D4—441no—
1312C2×D4—441no—
1313C2×D4—441no—
1314C2×D4—441no—
1315C2×D4—441no—
1316C2×D4—441no—
1317C2×D4—4416no—
1318C2×D4—4416no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4C2×C4×D1114yes—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—114no—
1338C22×C4—114no—
1339C22×C4—114no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—111no—
1345C22×C4—111no—
1346C22×C4—111no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
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×C4C2×C4×D1114yes—
1387C22×C4C23×D1111yescharacteristic
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—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
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⋊C4C2×C4×D1114yes—
1419C4⋊C4C2×C4×D1114yes—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—114no—
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—222no—
1437C22⋊C4—222no—
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—222no—
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⋊C4C2×C4×D1114yes—
1474C22⋊C4C2×C4×D1114yes—
1475C22⋊C4C2×C4×D1114yes—
1476C42—22no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—222no—
1482C42—441no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C11#3440811yescharacteristic, 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—112no—
1506C23—112no—
1507C23—112no—
1508C23—112no—
1509C23—112no—
1510C23—112no—
1511C23—112no—
1512C23—228no—
1513C23—228no—
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—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—444no—
1543C23—444no—
1544C23—444no—
1545C23—444no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—882no—
1550C23—882no—
1551C23—882no—
1552C23—882no—
1553C23—882no—
1554C23—882no—
1555C23—882no—
1556C23—882no—
1557C23—882no—
1558C23—882no—
1559C23—882no—
1560C23—882no—
1561C23C22×C4×D1112yes—
1562C23C22×C4×D1112yes—
1563C23C24×D1111yescharacteristic
1564D4—44no—
1565D4—228no—
1566D4—228no—
1567D4—444no—
1568D4—444no—
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—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—82no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—228no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—444no—
1646C2×C4—444no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—882no—
1650C2×C4—882no—
1651C2×C4—882no—
1652C2×C4—882no—
1653C2×C4—882no—
1654C2×C4—882no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4C22×C4×D1112yes—
1659C2×C4C22×C4×D1112yes—
1660C2×C4C22×C4×D1112yes—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4#6704212yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—114no—
1679C22—222no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
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—222no—
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—441no—
1713C22—888no—
1714C22—888no—
1715C22—888no—
1716C22C23×C4×D1111yescharacteristic
1717C22C2×#6704211yescharacteristic
1718C22#1062345311yescharacteristic
1719C22D11×H(5,𝔽2)11yescharacteristic
1720C22D11×H(5,𝔽2)11yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22#1062345711yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—222no—
1737C4—222no—
1738C4—222no—
1739C4—222no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C2—42no—
1748C2—42no—
1749C2—224no—
1750C2—442no—
1751C2—442no—
1752C2—442no—
1753C2—442no—
1754C2D11×#51811yescharacteristic
1755C2#1308182211yescharacteristic
1756C2C4×#6704211yescharacteristic
1757C2#1308280511yescharacteristic
1758C2#1308281111yescharacteristic
1759C2#1308294511yescharacteristic
1760C2#1308296411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2335C2
socle, cosocleC23×C11C25
prime radicalC2×#10623184C2
hypercenter#2335D11
hypocenterC11#34408
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #13071772C2semidirect
3. #13071769C2semidirect
4. #13071760C2semidirect
5. #13071756C2semidirect
6. #13071747C2semidirect
7. #13071655C2semidirect
8. #13071649C2semidirect
9. #13071598C2semidirect
10. #13071594C2semidirect
11. #13071594C2semidirect
12. #13071594C2semidirect
13. #13071592C2semidirect
14. #13071460C2semidirect
15. #13071460C2semidirect
16. C22⋊C4×D44C2semidirect
17. #13071436C2semidirect
18. #13071410C2semidirect
19. #13071380C2semidirect
20. #13071380C2semidirect
21. #13071310C2semidirect
22. #13071307C2semidirect
23. #13071289C2semidirect
24. #13071280C2semidirect
25. #13071275C2semidirect
26. #13071272C2semidirect
27. #13071190C2semidirect
28. C4×#66947C2semidirect
29. #13071137C2semidirect
30. D11×#390C2semidirect
31. C11×#2335C2semidirect
37. C2×C4×C22⋊D11C22semidirect
38. C22×(C2×D11)⋊C4C22semidirect
39. #10623184C4semidirect
46. C2×#66946C22semidirect
47. C2×C4⋊C4×D11C22semidirect
53. C2×(C22⋊D11)⋊C4C22semidirect
57. C2×C22⋊C4×D11C22semidirect
58. C2×C22⋊C4×D11C22semidirect
59. C2×C22⋊C4×D11C22semidirect
60. C2×C22⋊C4×D11C22semidirect
61. C2×C22⋊C4×D11C22semidirect
64. C2×C4×D44C22semidirect
65. C2×#66925C22semidirect
66. C2×#66925C22semidirect
67. C2×C42×D11C22semidirect
69. C11×#389C22semidirect
70. C11×#388C22semidirect
71. C11×#388C22semidirect
72. C11×#388C22semidirect
73. C11×#388C22semidirect
74. C11×#387C22semidirect
75. C11×#387C22semidirect
77. C11×#385C22semidirect
78. C11×#380C22semidirect
79. C4×C11×C4⋊C4C22semidirect
80. C4×C11×C22⋊C4C22semidirect
81. C4×C11×C22⋊C4C22semidirect
84. #10622826C22semidirect
85. #10622826C22semidirect
86. #10622825C22semidirect
87. C4×C22⋊Dic11C22semidirect
88. #10622603C22semidirect
89. #10622603C22semidirect
90. #10622603C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622602C22semidirect
95. #10622602C22semidirect
96. #10622601C22semidirect
97. #10622601C22semidirect
98. #10622601C22semidirect
99. #10622601C22semidirect
100. #10622600C22semidirect
101. #10622600C22semidirect
102. #10622598C22semidirect
103. #10622594C22semidirect
104. #10622594C22semidirect
105. #10622591C22semidirect
106. C4⋊C4×Dic11C22semidirect
107. #10622585C22semidirect
108. #10622571C22semidirect
109. #10622571C22semidirect
112. #10622570C22semidirect
113. #10622570C22semidirect
114. #10622570C22semidirect
115. #10622570C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
122. #10622568C22semidirect
123. #10622568C22semidirect
124. #10622564C22semidirect
125. #10622564C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
128. #10622563C22semidirect
129. #10622558C22semidirect
130. #10622558C22semidirect
131. #10622557C22semidirect
132. #10622557C22semidirect
133. C22⋊C4×Dic11C22semidirect
134. #10622553C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622552C22semidirect
138. #10622552C22semidirect
139. #10622552C22semidirect
140. #10622552C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. #10622546C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622282C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
154. #10622281C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622279C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622277C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622277C22semidirect
184. #10622268C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
201. C2×D4×D11C2×C4semidirect
204. C22×D44C2×C4semidirect
225. C11×#123C2×C4semidirect
256. #66990C2×C4semidirect
257. #66982C2×C4semidirect
322. #66948C2×C4semidirect
323. #66948C2×C4semidirect
324. #66947C2×C4semidirect
325. #66947C2×C4semidirect
330. #66937C2×C4semidirect
331. #66937C2×C4semidirect
332. #66935C2×C4semidirect
333. #66935C2×C4semidirect
334. #66935C2×C4semidirect
343. C22⋊C4×D11C2×C4semidirect
631. #2335D11semidirect
870. #389C2×D11semidirect
891. #388C2×D11semidirect
892. #388C2×D11semidirect
893. #388C2×D11semidirect
894. #388C2×D11semidirect
901. #387C2×D11semidirect
902. #387C2×D11semidirect
938. #385C2×D11semidirect
946. #380C2×D11semidirect
954. C4×C4⋊C4C2×D11semidirect
969. C4×C22⋊C4C2×D11semidirect
970. C4×C22⋊C4C2×D11semidirect
1094. #123C4×D11semidirect
1492. C11#34408semidirect

Maximal subgroups

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

subgroupindex
C2×#106231842
#130717722
#130717692
#130717602
#130717562
#130717472
#130716552
#130716492
#130715982
#130715942
#130715922
#130714602
C22⋊C4×D442
#130714362
#130714102
#130713802
#130713102
#130713072
#130712892
#130712802
#130712752
#130712722
#130711902
C4×#669472
#130711372
D11×#3902
C11×#23352
#3440811