Finite Group Databasebeta

← #14917126

Subgroups — #14917126

Order 2816.

2874 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623056C211yesmaximal, characteristic
2#13071792C211yesmaximal, characteristic, complemented
3#13071787C211yesmaximal, characteristic, complemented
4#13071771C211yesmaximal, characteristic, complemented
5#13071771C211yesmaximal, characteristic, complemented
6#13071726C211yesmaximal, characteristic, complemented
7#13071680C211yesmaximal, characteristic, complemented
8#13071662C211yesmaximal, characteristic, complemented
9#13071662C211yesmaximal, characteristic, complemented
10#13071598C211yesmaximal, characteristic, complemented
11#13071598C211yesmaximal, characteristic, complemented
12#13071592C211yesmaximal, characteristic, complemented
13#13071592C211yesmaximal, characteristic, complemented
14#13071476C211yesmaximal, characteristic, complemented
15#13071443C211yesmaximal, characteristic, complemented
16#13071440C211yesmaximal, characteristic, complemented
17#13071429C211yesmaximal, characteristic, complemented
18#13071426C211yesmaximal, characteristic, complemented
19#13071380C211yesmaximal, characteristic, complemented
20#13071380C211yesmaximal, characteristic, complemented
21#13071341C211yesmaximal, characteristic, complemented
22#13071339C211yesmaximal, characteristic, complemented
23#13071315C211yesmaximal, characteristic, complemented
24#13071315C211yesmaximal, characteristic, complemented
25#13071276C211yesmaximal, characteristic, complemented
26#13071273C211yesmaximal, characteristic, complemented
27#13071193C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29#13071117C211yesmaximal, characteristic, complemented
30C2×#10622278C211yesmaximal, characteristic, complemented
31C11×#2343C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41#10623056C4116yescomplemented
42C2×#66948C2211yescharacteristic
43C2×#66948C2211yescharacteristic
44C2×#66948C2211yescharacteristic
45C2×#66948C2211yescharacteristic
46C2×#66946C2211yescharacteristic, complemented
47C2×#66946C2211yescharacteristic, complemented
48C2×#66946C2211yescharacteristic, complemented
49C2×#66946C2211yescharacteristic, complemented
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×#66928C2211yescharacteristic
59C2×#66928C2211yescharacteristic
60C2×#66927C2211yescharacteristic
61C2×#66927C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic, complemented
63C2×C4×D44C2211yescharacteristic, complemented
64C2×C4×D44C2211yescharacteristic, complemented
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic
72C11×#383C2211yescharacteristic, complemented
73C11×#382C2211yescharacteristic, complemented
74C11×#381C2211yescharacteristic
75C4×C11×C4⋊C4C2211yescharacteristic, complemented
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C11×#376C2211yescharacteristic, complemented
79C2×C11×#95C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622824C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622601C2211yescharacteristic, complemented
93#10622601C2211yescharacteristic, complemented
94#10622601C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622594C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622563C2211yescharacteristic
105#10622563C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108#10622553C2211yescharacteristic, complemented
109#10622553C2211yescharacteristic, complemented
110#10622553C2211yescharacteristic, complemented
111#10622553C2211yescharacteristic, complemented
112#10622552C2211yescharacteristic, complemented
113#10622552C2211yescharacteristic, complemented
114#10622552C2211yescharacteristic, complemented
115#10622552C2211yescharacteristic, complemented
116C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
117C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
118C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
119C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
120#10622550C2211yescharacteristic, complemented
121#10622549C2211yescharacteristic, complemented
122C4×C4⋊Dic11C2211yescharacteristic, complemented
123#10622545C2211yescharacteristic, complemented
124#10622283C2211yescharacteristic, complemented
125#10622283C2211yescharacteristic, complemented
126#10622283C2211yescharacteristic, complemented
127#10622283C2211yescharacteristic, complemented
128#10622282C2211yescharacteristic, complemented
129#10622282C2211yescharacteristic, complemented
130#10622282C2211yescharacteristic, complemented
131#10622282C2211yescharacteristic, complemented
132#10622281C2211yescharacteristic, complemented
133#10622281C2211yescharacteristic, complemented
134#10622281C2211yescharacteristic, complemented
135#10622281C2211yescharacteristic, complemented
136#10622280C2211yescharacteristic, complemented
137#10622280C2211yescharacteristic, complemented
138#10622279C2211yescharacteristic, complemented
139#10622279C2211yescharacteristic, complemented
140#10622279C2211yescharacteristic, complemented
141#10622279C2211yescharacteristic, complemented
142#10622279C2211yescharacteristic, complemented
143#10622279C2211yescharacteristic, complemented
144#10622278C2211yescharacteristic
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic, complemented
161#10622278C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic, complemented
163#10622278C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic, complemented
165#10622278C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
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
182D11×#95C2211yescharacteristic, complemented
183D11×#95C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×#4339—42no—
198C2×#4339—42no—
199C2×#4339C2×C418yescomplemented
200C22×D44—42no—
201C22×D44—42no—
202C22×D44C2×C418yescomplemented
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×C4×D11—42no—
217C22×C4×D11—42no—
218C22×C4×D11—42no—
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
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C11×#117C2×C418yescomplemented
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C4×C22⋊D11—42no—
254C4×C22⋊D11—42no—
255C2×(C2×D11)⋊C4—42no—
256C2×(C2×D11)⋊C4—42no—
257C2×(C2×D11)⋊C4—42no—
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66948C2×C418yescomplemented
319#66948C2×C418yescomplemented
320#66948C2×C418yescomplemented
321#66948C2×C418yescomplemented
322#66946—42no—
323#66946—42no—
324#66946—42no—
325#66946—42no—
326#66935C2×C418yescomplemented
327#66935C2×C418yescomplemented
328#66935C2×C418yescomplemented
329#66935C2×C418yescomplemented
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4—42no—
332C22⋊C4×D11—42no—
333C22⋊C4×D11—42no—
334#66928C2×C418yescomplemented
335#66928C2×C418yescomplemented
336#66927C2×C418yescomplemented
337#66927C2×C418yescomplemented
338C4×D44—42no—
339C4×D44—42no—
340C4×D44—42no—
341C4×D44—42no—
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34406—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C23×D11—22no—
385C23×D11—22no—
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C22×C414yes—
397C23×D11C22×C414yes—
398C23×D11C2411yescharacteristic
399C23×D11C2411yescharacteristic
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11C22×C414yes—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11C22×C414yes—
432C2×C22⋊D11C22×C414yes—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449#4339—416no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—416no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
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—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44C22×C414yes—
478C2×D44C22×C414yes—
479C2×D44C22×C414yes—
480C2×D44C22×C414yes—
481C2×D44C22×C414yes—
482C2×D44C22×C414yes—
483C2×D44C22×C414yes—
484C2×D44C22×C414yes—
485C2×D44C22×C414yescomplemented
486C2×D44C22×C414yescomplemented
487C2×D44C22×C414yescomplemented
488C2×D44C22×C414yescomplemented
489C2×D44C22×C414yescomplemented
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
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×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—416no—
531C2×C4×D11C22×C414yescomplemented
532C2×C4×D11C22×C414yescomplemented
533C2×Dic22—41no—
534C2×Dic22—41no—
535C2×Dic22C22×C414yescomplemented
536C11×C4⋊C4—22no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4C22×C414yescomplemented
541C11×C4⋊C4C22×C414yescomplemented
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4C22×C414yes—
545C11×C22⋊C4C22×C414yes—
546C42×C11—22no—
547C42×C11—41no—
548C42×C11—41no—
549C42×C11—41no—
550C42×C11C22×C414yescomplemented
551C42×C11C22×C414yescomplemented
552C22⋊Dic11—22no—
553C22⋊Dic11—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)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4C22×C414yes—
591(C2×D11)⋊C4C22×C414yes—
592(C2×D11)⋊C4C22×C414yes—
593(C2×D11)⋊C4C22×C414yes—
594(C2×D11)⋊C4C22×C414yescomplemented
595(C2×D11)⋊C4C22×C414yescomplemented
596(C2×D11)⋊C4C22×C414yescomplemented
597(C2×D11)⋊C4C22×C414yescomplemented
598C4⋊Dic11—22no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606C4×Dic11—22no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C4×Dic11—41no—
614C2×#535—111no—
615#2380—111no—
616#2379—111no—
617#2377—111no—
618#2377—111no—
619#2372—111no—
620#2366—111no—
621#2364—111no—
622#2364—111no—
623#2358—111no—
624#2358—111no—
625#2358—111no—
626#2358—111no—
627#2343—111no—
628#2343D1111yescharacteristic, complemented
629#2339—111no—
630#2339—111no—
631#2337—111no—
632#2337—111no—
633#2333—111no—
634#2333—111no—
635#2328—111no—
636#2328—111no—
637#2325—111no—
638#2325—111no—
639#2321—111no—
640#2321—111no—
641#2308—111no—
642C4×#120—111no—
643C4×#120—111no—
644C2×#386—111no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11C23×C412yes—
650C23×C11H(5,𝔽2)12yes—
651C23×C11H(5,𝔽2)12yes—
652C23×C11C2511yescharacteristic
653C22×D11—28no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
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—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—28no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11—44no—
697C22×D11—44no—
698C22×D11—44no—
699C22×D11—82no—
700C22×D11—82no—
701C22×D11—82no—
702C22×D11—82no—
703C22×D11C23×C412yes—
704C22×D11C23×C412yes—
705C22×D11C23×C412yes—
706C22×D11C23×C412yes—
707C22×D11C23×C412yes—
708C22×D11C23×C412yes—
709C2×C4×C11—28no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—44no—
746C2×C4×C11—82no—
747C2×C4×C11C23×C412yes—
748C2×C4×C11C23×C412yes—
749C2×C4×C11C23×C412yes—
750C2×C4×C11C23×C412yes—
751C2×C4×C11C23×C412yes—
752C2×C4×C11C23×C412yes—
753C2×C4×C11H(5,𝔽2)12yes—
754C22⋊D11—28no—
755C22⋊D11—28no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—44no—
784C2×Dic11—82no—
785C2×Dic11C23×C412yes—
786C2×Dic11C23×C412yes—
787C2×Dic11H(5,𝔽2)12yes—
788D44—44no—
789D44—44no—
790D44—44no—
791D44—44no—
792D44—44no—
793D44—44no—
794D44—44no—
795D44—44no—
796D44—44no—
797D44—44no—
798D44—44no—
799D44—44no—
800D44—44no—
801C4×D11—44no—
802C4×D11—44no—
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—
815Dic22—44no—
816C22×#41—111no—
817C23×D4—111no—
818C24×C4—111no—
819#535—1116no—
820C2×#127—111no—
821C2×#127—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121—111no—
828C2×#120—111no—
829C2×#120—111no—
830C2×#120—111no—
831C2×#120—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C2×C4×D4—111no—
840C2×C4×D4—111no—
841C2×C4×D4—111no—
842C2×C4×D4—111no—
843C2×C4×D4—111no—
844C2×#117C2×D1111yescharacteristic
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4—111no—
849C22×C22⋊C4—111no—
850#391—111no—
851#391—111no—
852#391—111no—
853#391—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387C2×D1111yescharacteristic, complemented
883#387C2×D1111yescharacteristic, complemented
884#387C2×D1111yescharacteristic, complemented
885#387C2×D1111yescharacteristic, complemented
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385C2×D1111yescharacteristic
937#385C2×D1111yescharacteristic
938#383—111no—
939#383C2×D1111yescharacteristic, complemented
940#382—111no—
941#382C2×D1111yescharacteristic, complemented
942#381—111no—
943#381—111no—
944#381—111no—
945#381C2×D1111yescharacteristic
946#380—111no—
947#380—111no—
948#379—111no—
949#379—111no—
950C4×C4⋊C4—111no—
951C4×C4⋊C4C2×D1111yescharacteristic, complemented
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4C2×D1111yescharacteristic
965C4×C22⋊C4C2×D1111yescharacteristic
966#376—111no—
967#376C2×D1111yescharacteristic, complemented
968C2×#95—111no—
969C2×#95—111no—
970C2×#95—111no—
971C2×#95C2×D1111yescharacteristic
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11#51814yes—
979C22×C11C24×C411yescharacteristic
980C22×C11C2×H(5,𝔽2)11yescharacteristic
981C22×C11C2×H(5,𝔽2)11yescharacteristic
982C22×C11C2×H(5,𝔽2)11yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11#58511yescharacteristic
985C22×C11#58511yescharacteristic
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
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—416no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
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—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—88no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—22no—
1035C4×C11—22no—
1036C4×C11—22no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054C25—111no—
1055C25—111no—
1056C2×#41—118no—
1057C2×#41—442no—
1058C2×#41—442no—
1059C22×Q8—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—118no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—111no—
1075C22×D4—111no—
1076C22×D4—442no—
1077C22×D4—442no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—111no—
1094C23×C4—442no—
1095C23×C4—442no—
1096C23×C4—442no—
1097C23×C4C22×D1111yescharacteristic
1098C23×C4C22×D1111yescharacteristic
1099C23×C4C22×D1111yescharacteristic
1100#127—118no—
1101#127—118no—
1102#124—118no—
1103#124—118no—
1104#121—118no—
1105#121—118no—
1106#121—118no—
1107#121—118no—
1108#120—118no—
1109#120—118no—
1110#120—118no—
1111#120—118no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115C4×D4—442no—
1116C4×D4—442no—
1117C4×D4—442no—
1118C4×D4—442no—
1119C4×D4—442no—
1120C4×D4—442no—
1121C4×D4—442no—
1122C4×D4—442no—
1123C4×D4—442no—
1124#117C4×D1118yescomplemented
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⋊C4C22×D1111yescharacteristic
1134C2×C4⋊C4C22×D1111yescharacteristic
1135C2×C4⋊C4C22×D1111yescharacteristic
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—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—111no—
1185C2×C22⋊C4—442no—
1186C2×C22⋊C4—442no—
1187C2×C22⋊C4—442no—
1188C2×C22⋊C4—442no—
1189C2×C22⋊C4—442no—
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C42—111no—
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—111no—
1200C2×C42—111no—
1201C2×C42—111no—
1202C2×C42C22×D1111yescharacteristic
1203C2×C42C22×D1111yescharacteristic
1204C2×C42C22×D1111yescharacteristic
1205C2×C42C22×D1111yescharacteristic
1206C2×C42C22×D1111yescharacteristic
1207C2×C42C22×D1111yescharacteristic
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
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—24no—
1249C2×C11C2×#51811yescharacteristic
1250C2×C11C4×H(5,𝔽2)11yescharacteristic
1251C2×C11C4×H(5,𝔽2)11yescharacteristic
1252C2×C11#353211yescharacteristic
1253C2×C11#353311yescharacteristic
1254C2×C11#354211yescharacteristic
1255C2×C11#354211yescharacteristic
1256D11—42no—
1257D11—42no—
1258D11—42no—
1259D11—42no—
1260D11—42no—
1261D11—42no—
1262C24—111no—
1263C24—111no—
1264C24—111no—
1265C24—111no—
1266C24—111no—
1267C24—111no—
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—
1282C24C23×D1111yescharacteristic
1283#41—4416no—
1284C2×Q8—114no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×D4—114no—
1288C2×D4—114no—
1289C2×D4—114no—
1290C2×D4—114no—
1291C2×D4—114no—
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—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—441no—
1307C2×D4—441no—
1308C2×D4—441no—
1309C2×D4—441no—
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—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—111no—
1342C22×C4—111no—
1343C22×C4—111no—
1344C22×C4—114no—
1345C22×C4—114no—
1346C22×C4—111no—
1347C22×C4—111no—
1348C22×C4—111no—
1349C22×C4—111no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
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—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×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—4416no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4C2×C4×D1114yes—
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—222no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4C2×C4×D1114yescomplemented
1428C4⋊C4C2×C4×D1114yescomplemented
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—114no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—114no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—114no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4C2×C4×D1114yes—
1478C22⋊C4C2×C4×D1114yes—
1479C42—22no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—222no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42C2×C4×D1114yescomplemented
1492C42C2×C4×D1114yescomplemented
1493C11#3440611yescharacteristic, complemented, Sylow
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—112no—
1499C23—112no—
1500C23—112no—
1501C23—112no—
1502C23—112no—
1503C23—112no—
1504C23—228no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—221no—
1518C23—221no—
1519C23—221no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—228no—
1542C23—444no—
1543C23—444no—
1544C23—444no—
1545C23—444no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—882no—
1551C23—882no—
1552C23—882no—
1553C23—882no—
1554C23C22×C4×D1112yes—
1555C23#6704212yes—
1556C23#6704212yes—
1557C23C24×D1111yescharacteristic
1558Q8—444no—
1559D4—228no—
1560D4—228no—
1561D4—444no—
1562D4—444no—
1563D4—444no—
1564D4—444no—
1565D4—444no—
1566D4—444no—
1567D4—444no—
1568D4—444no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574C2×C4—28no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—112no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—444no—
1643C2×C4—444no—
1644C2×C4—444no—
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×C4C22×C4×D1112yes—
1664C2×C4#6704212yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—222no—
1672C22—222no—
1673C22—222no—
1674C22—222no—
1675C22—222no—
1676C22—222no—
1677C22—222no—
1678C22—222no—
1679C22—222no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
1684C22—222no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—4416no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—888no—
1715C22#1062305214yes—
1716C22C23×C4×D1111yescharacteristic
1717C22C2×#6704211yescharacteristic
1718C22C2×#6704211yescharacteristic
1719C22C2×#6704211yescharacteristic
1720C22#1062345311yescharacteristic
1721C22D11×H(5,𝔽2)11yescharacteristic
1722C22#1062345711yescharacteristic
1723C4—22no—
1724C4—22no—
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—441no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C2—24no—
1748C2—442no—
1749C2—442no—
1750C2—442no—
1751C2—442no—
1752C2—442no—
1753C2—442no—
1754C2C2×#1062305211yescharacteristic
1755C2#1308182211yescharacteristic
1756C2C4×#6704211yescharacteristic
1757C2#1308277211yescharacteristic
1758C2#1308278211yescharacteristic
1759C2#1308292511yescharacteristic
1760C2#1308292611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2343C2
socle, cosocleC23×C11C25
prime radicalC2×#10623056C2
hypercenter#2343D11
hypocenterC11#34406
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #13071792C2semidirect
3. #13071787C2semidirect
4. #13071771C2semidirect
5. #13071771C2semidirect
6. #13071726C2semidirect
7. #13071680C2semidirect
8. #13071662C2semidirect
9. #13071662C2semidirect
10. #13071598C2semidirect
11. #13071598C2semidirect
12. #13071592C2semidirect
13. #13071592C2semidirect
14. #13071476C2semidirect
15. #13071443C2semidirect
16. #13071440C2semidirect
17. #13071429C2semidirect
18. #13071426C2semidirect
19. #13071380C2semidirect
20. #13071380C2semidirect
21. #13071341C2semidirect
22. #13071339C2semidirect
23. #13071315C2semidirect
24. #13071315C2semidirect
25. #13071276C2semidirect
26. #13071273C2semidirect
27. #13071193C2semidirect
28. C4×#66935C2semidirect
29. #13071117C2semidirect
30. C2×#10622278C2semidirect
31. C11×#2343C2semidirect
41. #10623056C4semidirect
46. C2×#66946C22semidirect
47. C2×#66946C22semidirect
48. C2×#66946C22semidirect
49. C2×#66946C22semidirect
62. C2×C4×D44C22semidirect
63. C2×C4×D44C22semidirect
64. C2×C4×D44C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
72. C11×#383C22semidirect
73. C11×#382C22semidirect
75. C4×C11×C4⋊C4C22semidirect
78. C11×#376C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622601C22semidirect
93. #10622601C22semidirect
94. #10622601C22semidirect
95. #10622601C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622594C22semidirect
99. #10622594C22semidirect
108. #10622553C22semidirect
109. #10622553C22semidirect
110. #10622553C22semidirect
111. #10622553C22semidirect
112. #10622552C22semidirect
113. #10622552C22semidirect
114. #10622552C22semidirect
115. #10622552C22semidirect
116. C4×(C2×D11)⋊C4C22semidirect
117. C4×(C2×D11)⋊C4C22semidirect
118. C4×(C2×D11)⋊C4C22semidirect
119. C4×(C2×D11)⋊C4C22semidirect
120. #10622550C22semidirect
121. #10622549C22semidirect
122. C4×C4⋊Dic11C22semidirect
123. #10622545C22semidirect
124. #10622283C22semidirect
125. #10622283C22semidirect
126. #10622283C22semidirect
127. #10622283C22semidirect
128. #10622282C22semidirect
129. #10622282C22semidirect
130. #10622282C22semidirect
131. #10622282C22semidirect
132. #10622281C22semidirect
133. #10622281C22semidirect
134. #10622281C22semidirect
135. #10622281C22semidirect
136. #10622280C22semidirect
137. #10622280C22semidirect
138. #10622279C22semidirect
139. #10622279C22semidirect
140. #10622279C22semidirect
141. #10622279C22semidirect
142. #10622279C22semidirect
143. #10622279C22semidirect
160. #10622278C22semidirect
161. #10622278C22semidirect
162. #10622278C22semidirect
163. #10622278C22semidirect
164. #10622278C22semidirect
165. #10622278C22semidirect
166. #10622278C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
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. D11×#95C22semidirect
183. D11×#95C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
199. C2×#4339C2×C4semidirect
202. C22×D44C2×C4semidirect
234. C11×#117C2×C4semidirect
318. #66948C2×C4semidirect
319. #66948C2×C4semidirect
320. #66948C2×C4semidirect
321. #66948C2×C4semidirect
326. #66935C2×C4semidirect
327. #66935C2×C4semidirect
328. #66935C2×C4semidirect
329. #66935C2×C4semidirect
334. #66928C2×C4semidirect
335. #66928C2×C4semidirect
336. #66927C2×C4semidirect
337. #66927C2×C4semidirect
485. C2×D44C22×C4semidirect
486. C2×D44C22×C4semidirect
487. C2×D44C22×C4semidirect
488. C2×D44C22×C4semidirect
489. C2×D44C22×C4semidirect
531. C2×C4×D11C22×C4semidirect
532. C2×C4×D11C22×C4semidirect
535. C2×Dic22C22×C4semidirect
540. C11×C4⋊C4C22×C4semidirect
541. C11×C4⋊C4C22×C4semidirect
550. C42×C11C22×C4semidirect
551. C42×C11C22×C4semidirect
594. (C2×D11)⋊C4C22×C4semidirect
595. (C2×D11)⋊C4C22×C4semidirect
596. (C2×D11)⋊C4C22×C4semidirect
597. (C2×D11)⋊C4C22×C4semidirect
628. #2343D11semidirect
882. #387C2×D11semidirect
883. #387C2×D11semidirect
884. #387C2×D11semidirect
885. #387C2×D11semidirect
939. #383C2×D11semidirect
941. #382C2×D11semidirect
951. C4×C4⋊C4C2×D11semidirect
967. #376C2×D11semidirect
1124. #117C4×D11semidirect
1427. C4⋊C4C2×C4×D11semidirect
1428. C4⋊C4C2×C4×D11semidirect
1491. C42C2×C4×D11semidirect
1492. C42C2×C4×D11semidirect
1493. C11#34406semidirect

Maximal subgroups

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

subgroupindex
C2×#106230562
#130717922
#130717872
#130717712
#130717262
#130716802
#130716622
#130715982
#130715922
#130714762
#130714432
#130714402
#130714292
#130714262
#130713802
#130713412
#130713392
#130713152
#130712762
#130712732
#130711932
C4×#669352
#130711172
C2×#106222782
C11×#23432
#3440611