Finite Group Databasebeta

← #14918309

Subgroups — #14918309

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071790C211yesmaximal, characteristic, complemented
2#13071773C211yesmaximal, characteristic, complemented
3#13071773C211yesmaximal, characteristic, complemented
4#13071764C211yesmaximal, characteristic, complemented
5#13071701C211yesmaximal, characteristic, complemented
6#13071636C211yesmaximal, characteristic, complemented
7#13071612C211yesmaximal, characteristic, complemented
8#13071600C211yesmaximal, characteristic, complemented
9#13071600C211yesmaximal, characteristic, complemented
10#13071545C211yesmaximal, characteristic, complemented
11#13071526C211yesmaximal, characteristic, complemented
12#13071465C211yesmaximal, characteristic, complemented
13#13071465C211yesmaximal, characteristic, complemented
14#13071446C211yesmaximal, characteristic, complemented
15D4×C22⋊Dic11C211yesmaximal, characteristic, complemented
16#13071431C211yesmaximal, characteristic, complemented
17#13071410C211yesmaximal, characteristic, complemented
18#13071351C211yesmaximal, characteristic, complemented
19#13071321C211yesmaximal, characteristic, complemented
20#13071321C211yesmaximal, characteristic, complemented
21#13071311C211yesmaximal, characteristic, complemented
22#13071288C211yesmaximal, characteristic, complemented
23#13071277C211yesmaximal, characteristic, complemented
24#13071249C211yesmaximal, characteristic, complemented
25#13071249C211yesmaximal, characteristic, complemented
26#13071230C211yesmaximal, characteristic, complemented
27#13071208C211yesmaximal, characteristic, complemented
28#120×Dic11C211yesmaximal, characteristic, complemented
29C2×#10622833C211yesmaximal, characteristic, complemented
30C2×#10622563C211yesmaximal, characteristic, complemented
31C2×C11×#546C211yesmaximal, characteristic
32C22×C11×#41C2211yescharacteristic
33C23×D4×C11C2211yescharacteristic
34C24×Dic11C2211yescharacteristic
35C11×#546C4116yescomplemented
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#120C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C22×C22⋊Dic11C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C22×C22⋊Dic11C2211yescharacteristic
52C22×C22⋊Dic11C2211yescharacteristic
53C22×C22⋊Dic11C2211yescharacteristic
54C2×D4×Dic11C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×D4×Dic11C2211yescharacteristic
57C2×D4×Dic11C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic, complemented
59C2×D4×Dic11C2211yescharacteristic, complemented
60C2×D4×Dic11C2211yescharacteristic, complemented
61C2×D4×Dic11C2211yescharacteristic, complemented
62C2×#66979C2211yescharacteristic, complemented
63C2×#66979C2211yescharacteristic, complemented
64C22×C4⋊Dic11C2211yescharacteristic, complemented
65C22×C4⋊Dic11C2211yescharacteristic, complemented
66#10622860C2211yescharacteristic
67#10622860C2211yescharacteristic
68#10622843C2211yescharacteristic, complemented
69#10622843C2211yescharacteristic, complemented
70#10622843C2211yescharacteristic, complemented
71#10622843C2211yescharacteristic, complemented
72#10622834C2211yescharacteristic
73#10622834C2211yescharacteristic
74#10622834C2211yescharacteristic, complemented
75#10622834C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic, complemented
77#10622834C2211yescharacteristic, complemented
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622833C2211yescharacteristic
90#10622833C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic, complemented
93#10622833C2211yescharacteristic, complemented
94#10622833C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic, complemented
97#10622833C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic, complemented
99#10622833C2211yescharacteristic, complemented
100#10622825C2211yescharacteristic
101#10622825C2211yescharacteristic, complemented
102#10622825C2211yescharacteristic, complemented
103#10622825C2211yescharacteristic, complemented
104#10622825C2211yescharacteristic, complemented
105#10622825C2211yescharacteristic, complemented
106#10622825C2211yescharacteristic, complemented
107#10622825C2211yescharacteristic, complemented
108#10622825C2211yescharacteristic, complemented
109#10622824C2211yescharacteristic, complemented
110#10622824C2211yescharacteristic, complemented
111#10622824C2211yescharacteristic, complemented
112C4×C22⋊Dic11C2211yescharacteristic
113C4×C22⋊Dic11C2211yescharacteristic, complemented
114C4×C22⋊Dic11C2211yescharacteristic, complemented
115C2×C11⋊#95C2211yescharacteristic
116C2×C11⋊#95C2211yescharacteristic
117C2×C11⋊#95C2211yescharacteristic, complemented
118C2×C11⋊#95C2211yescharacteristic, complemented
119C2×C11⋊#95C2211yescharacteristic, complemented
120#10622598C2211yescharacteristic, complemented
121#10622598C2211yescharacteristic, complemented
122#10622598C2211yescharacteristic, complemented
123#10622598C2211yescharacteristic, complemented
124#10622594C2211yescharacteristic, complemented
125#10622594C2211yescharacteristic, complemented
126#10622594C2211yescharacteristic, complemented
127#10622594C2211yescharacteristic, complemented
128#10622594C2211yescharacteristic, complemented
129#10622594C2211yescharacteristic, complemented
130#10622594C2211yescharacteristic, complemented
131#10622594C2211yescharacteristic, complemented
132#10622594C2211yescharacteristic, complemented
133#10622594C2211yescharacteristic, complemented
134C4⋊C4×Dic11C2211yescharacteristic, complemented
135C4⋊C4×Dic11C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622564C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622564C2211yescharacteristic, complemented
149#10622564C2211yescharacteristic, complemented
150#10622564C2211yescharacteristic, complemented
151#10622564C2211yescharacteristic, complemented
152#10622564C2211yescharacteristic, complemented
153#10622564C2211yescharacteristic, complemented
154#10622563C2211yescharacteristic
155#10622563C2211yescharacteristic
156#10622563C2211yescharacteristic
157#10622563C2211yescharacteristic
158#10622563C2211yescharacteristic
159#10622563C2211yescharacteristic
160#10622563C2211yescharacteristic
161#10622563C2211yescharacteristic
162#10622563C2211yescharacteristic, complemented
163#10622563C2211yescharacteristic, complemented
164#10622563C2211yescharacteristic, complemented
165#10622563C2211yescharacteristic, complemented
166#10622563C2211yescharacteristic, complemented
167#10622563C2211yescharacteristic, complemented
168#10622563C2211yescharacteristic, complemented
169#10622563C2211yescharacteristic, complemented
170#10622563C2211yescharacteristic, complemented
171#10622563C2211yescharacteristic, complemented
172#10622563C2211yescharacteristic, complemented
173#10622563C2211yescharacteristic, complemented
174#10622563C2211yescharacteristic, complemented
175#10622563C2211yescharacteristic, complemented
176C22⋊C4×Dic11C2211yescharacteristic
177C22⋊C4×Dic11C2211yescharacteristic
178C22⋊C4×Dic11C2211yescharacteristic
179C22⋊C4×Dic11C2211yescharacteristic
180C22⋊C4×Dic11C2211yescharacteristic, complemented
181C22⋊C4×Dic11C2211yescharacteristic, complemented
182C22⋊C4×Dic11C2211yescharacteristic, complemented
183C22⋊C4×Dic11C2211yescharacteristic, complemented
184#10622550C2211yescharacteristic, complemented
185#10622549C2211yescharacteristic, complemented
186#10622549C2211yescharacteristic, complemented
187C4×C4⋊Dic11C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C25×C11C2311yescharacteristic
190C2×C11×#41—42no—
191C2×C11×#41—42no—
192C2×C11×#41C2×C418yescomplemented
193C22×Q8×C11C2311yescharacteristic
194C22×D4×C11—42no—
195C22×D4×C11—42no—
196C22×D4×C11C2×C418yescomplemented
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×C11C2311yescharacteristic
203C22×D4×C11C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×Dic11—42no—
213C23×Dic11—42no—
214C23×Dic11—42no—
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C23×Dic11C2311yescharacteristic
227C23×Dic11C2311yescharacteristic
228C23×Dic11C2311yescharacteristic
229C11×#124C2×C418yescomplemented
230C11×#123C2×C418yescomplemented
231C11×#123C2×C418yescomplemented
232C11×C22⋊Q8C2×C418yescomplemented
233C11×#121C2×C418yescomplemented
234C11×#121C2×C418yescomplemented
235C11×#121C2×C418yescomplemented
236C11×#120C2×C418yescomplemented
237C11×#120C2×C418yescomplemented
238C4×D4×C11C2×C418yescomplemented
239C4×D4×C11C2×C418yescomplemented
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2×C418yescomplemented
245C2×C11×C22⋊C4C2×C418yescomplemented
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259C2×C22⋊Dic11—42no—
260C2×C22⋊Dic11—42no—
261C2×C22⋊Dic11—42no—
262C2×C22⋊Dic11—42no—
263C2×C22⋊Dic11—42no—
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298D4×Dic11—42no—
299D4×Dic11—42no—
300D4×Dic11—42no—
301D4×Dic11—42no—
302D4×Dic11—42no—
303D4×Dic11—42no—
304D4×Dic11—42no—
305D4×Dic11—42no—
306#66979—42no—
307#66979—42no—
308C2×C4⋊Dic11—42no—
309C2×C4⋊Dic11—42no—
310C2×C4⋊Dic11C2311yescharacteristic
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
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
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#34456—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—22no—
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11—41no—
394C24×C11—41no—
395C24×C11C22×C414yes—
396C24×C11C22×C414yes—
397C24×C11C2411yescharacteristic
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C11×#41—416no—
404C2×Q8×C11—41no—
405C2×Q8×C11—41no—
406C2×Q8×C11C22×C414yescomplemented
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—416no—
426C2×D4×C11C22×C414yes—
427C2×D4×C11C22×C414yes—
428C2×D4×C11C22×C414yes—
429C2×D4×C11C22×C414yes—
430C2×D4×C11C22×C414yes—
431C2×D4×C11C22×C414yes—
432C2×D4×C11C22×C414yes—
433C2×D4×C11C22×C414yescomplemented
434C2×D4×C11C22×C414yescomplemented
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11C22×C414yes—
448C22×C4×C11C22×C414yes—
449C22×C4×C11C22×C414yes—
450C22×C4×C11C22×C414yescomplemented
451C22×C4×C11C22×C414yescomplemented
452C22×C4×C11C22×C414yescomplemented
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11—41no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—41no—
501C22×Dic11—41no—
502C22×Dic11—41no—
503C22×Dic11—41no—
504C22×Dic11—416no—
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C11×C4⋊C4C22×C414yescomplemented
522C11×C4⋊C4C22×C414yescomplemented
523C11×C4⋊C4C22×C414yescomplemented
524C11×C4⋊C4C22×C414yescomplemented
525C11×C22⋊C4C22×C414yes—
526C11×C22⋊C4C22×C414yes—
527C11×C22⋊C4C22×C414yes—
528C11×C22⋊C4C22×C414yes—
529C11×C22⋊C4C22×C414yes—
530C11×C22⋊C4C22×C414yes—
531C11×C22⋊C4C22×C414yes—
532C11×C22⋊C4C22×C414yescomplemented
533C11×C22⋊C4C22×C414yescomplemented
534C11×C22⋊C4C22×C414yescomplemented
535C11×C22⋊C4C22×C414yescomplemented
536C11×C22⋊C4C22×C414yescomplemented
537C42×C11C22×C414yescomplemented
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
582C4⋊Dic11—41no—
583C4⋊Dic11—41no—
584C4⋊Dic11—41no—
585C4⋊Dic11—41no—
586C4⋊Dic11—41no—
587C4⋊Dic11—41no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590C4⋊Dic11—41no—
591C4⋊Dic11—41no—
592C4×Dic11—22no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C2×#546D1111yescharacteristic
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#385—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—28no—
644C23×C11—28no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—28no—
670C23×C11—44no—
671C23×C11—44no—
672C23×C11—44no—
673C23×C11—44no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—82no—
678C23×C11—82no—
679C23×C11—82no—
680C23×C11—82no—
681C23×C11C23×C412yes—
682C23×C11C23×C412yes—
683C23×C11C23×C412yes—
684C23×C11C23×C412yes—
685C23×C11C23×C412yes—
686C23×C11C23×C412yes—
687C23×C11H(5,𝔽2)12yes—
688C23×C11H(5,𝔽2)12yes—
689C23×C11H(5,𝔽2)12yes—
690C23×C112−1+412yes—
691C23×C11C2511yescharacteristic
692Q8×C11—44no—
693D4×C11—28no—
694D4×C11—28no—
695D4×C11—28no—
696D4×C11—28no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
700D4×C11—44no—
701D4×C11—44no—
702C2×C4×C11—28no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
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—44no—
722C2×C4×C11—44no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11C23×C412yes—
727C2×C4×C11C23×C412yes—
728C2×C4×C11C23×C412yes—
729C2×C4×C11C23×C412yes—
730C2×C4×C11C23×C412yes—
731C2×C4×C11C23×C412yes—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C2×C4×C11C23×C412yes—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
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—44no—
783C2×Dic11—44no—
784C2×Dic11—44no—
785C2×Dic11—44no—
786C2×Dic11—44no—
787C2×Dic11—44no—
788C2×Dic11—82no—
789C2×Dic11—82no—
790C2×Dic11—82no—
791C2×Dic11—82no—
792C2×Dic11—82no—
793C2×Dic11—82no—
794C2×Dic11—82no—
795C2×Dic11—82no—
796C2×Dic11H(5,𝔽2)12yes—
797C22×#41C2×D1111yescharacteristic
798C23×D4C2×D1111yescharacteristic
799C24×C4—111no—
800#546Dic11116yescomplemented
801C2×#124C2×D1111yescharacteristic
802C2×#123C2×D1111yescharacteristic
803C2×#123C2×D1111yescharacteristic
804C2×C22⋊Q8C2×D1111yescharacteristic
805C2×#121C2×D1111yescharacteristic
806C2×#121C2×D1111yescharacteristic
807C2×#121C2×D1111yescharacteristic
808C2×#120C2×D1111yescharacteristic
809C2×#120C2×D1111yescharacteristic
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4C2×D1111yescharacteristic
819C2×C4×D4C2×D1111yescharacteristic
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4C2×D1111yescharacteristic
830C22×C22⋊C4C2×D1111yescharacteristic
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95—111no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—416no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—88no—
995C22×C11#51814yes—
996C22×C11#52014yes—
997C22×C11C24×C411yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C22×C11C2×H(5,𝔽2)11yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×2−1+411yescharacteristic
1003C22×C11#58511yescharacteristic
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—22no—
1012C4×C11—22no—
1013Dic11—22no—
1014Dic11—41no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25C22×D1111yescharacteristic
1030C25C22×D1111yescharacteristic
1031C2×#41—42no—
1032C2×#41—42no—
1033C2×#41C2×Dic1118yescomplemented
1034C22×Q8C22×D1111yescharacteristic
1035C22×D4—42no—
1036C22×D4—42no—
1037C22×D4C2×Dic1118yescomplemented
1038C22×D4C22×D1111yescharacteristic
1039C22×D4C22×D1111yescharacteristic
1040C22×D4C22×D1111yescharacteristic
1041C22×D4C22×D1111yescharacteristic
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—442no—
1062C23×C4—442no—
1063C23×C4—442no—
1064C23×C4C22×D1111yescharacteristic
1065C23×C4C22×D1111yescharacteristic
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124C2×Dic1118yescomplemented
1071#123C2×Dic1118yescomplemented
1072#123C2×Dic1118yescomplemented
1073C22⋊Q8C2×Dic1118yescomplemented
1074#121C2×Dic1118yescomplemented
1075#121C2×Dic1118yescomplemented
1076#121C2×Dic1118yescomplemented
1077#120C2×Dic1118yescomplemented
1078#120C2×Dic1118yescomplemented
1079C4×D4—442no—
1080C4×D4—442no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4C2×Dic1118yescomplemented
1088C4×D4C2×Dic1118yescomplemented
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—442no—
1112C2×C4⋊C4—442no—
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
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—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—442no—
1152C2×C22⋊C4—442no—
1153C2×C22⋊C4—442no—
1154C2×C22⋊C4—442no—
1155C2×C22⋊C4—442no—
1156C2×C22⋊C4C2×Dic1118yescomplemented
1157C2×C22⋊C4C2×Dic1118yescomplemented
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42C22×D1111yescharacteristic
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
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—
1223C2×C11—24no—
1224C2×C11—24no—
1225C2×C11—42no—
1226C2×C11—42no—
1227C2×C11—42no—
1228C2×C11—42no—
1229C2×C11C2×#51811yescharacteristic
1230C2×C11C2×#52011yescharacteristic
1231C2×C11C4×H(5,𝔽2)11yescharacteristic
1232C2×C11#353211yescharacteristic
1233C2×C11#353411yescharacteristic
1234C2×C11#353511yescharacteristic
1235C2×C11#353611yescharacteristic
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—41no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24C22×Dic1114yes—
1249C24C22×Dic1114yes—
1250C24C23×D1111yescharacteristic
1251C24C23×D1111yescharacteristic
1252C24C23×D1111yescharacteristic
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—416no—
1257C2×Q8—41no—
1258C2×Q8—41no—
1259C2×Q8C22×Dic1114yescomplemented
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—416no—
1279C2×D4C22×Dic1114yes—
1280C2×D4C22×Dic1114yes—
1281C2×D4C22×Dic1114yes—
1282C2×D4C22×Dic1114yes—
1283C2×D4C22×Dic1114yes—
1284C2×D4C22×Dic1114yes—
1285C2×D4C22×Dic1114yes—
1286C2×D4C22×Dic1114yescomplemented
1287C2×D4C22×Dic1114yescomplemented
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—4416no—
1359C22×C4C22×Dic1114yes—
1360C22×C4C22×Dic1114yes—
1361C22×C4C22×Dic1114yes—
1362C22×C4C22×Dic1114yescomplemented
1363C22×C4C22×Dic1114yescomplemented
1364C22×C4C22×Dic1114yescomplemented
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—222no—
1375C4⋊C4—222no—
1376C4⋊C4—441no—
1377C4⋊C4—441no—
1378C4⋊C4—441no—
1379C4⋊C4—441no—
1380C4⋊C4—441no—
1381C4⋊C4—441no—
1382C4⋊C4—441no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4C22×Dic1114yescomplemented
1395C4⋊C4C22×Dic1114yescomplemented
1396C4⋊C4C22×Dic1114yescomplemented
1397C4⋊C4C22×Dic1114yescomplemented
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4C22×Dic1114yes—
1433C22⋊C4C22×Dic1114yes—
1434C22⋊C4C22×Dic1114yes—
1435C22⋊C4C22×Dic1114yes—
1436C22⋊C4C22×Dic1114yes—
1437C22⋊C4C22×Dic1114yes—
1438C22⋊C4C22×Dic1114yes—
1439C22⋊C4C22×Dic1114yescomplemented
1440C22⋊C4C22×Dic1114yescomplemented
1441C22⋊C4C22×Dic1114yescomplemented
1442C22⋊C4C22×Dic1114yescomplemented
1443C22⋊C4C22×Dic1114yescomplemented
1444C42—222no—
1445C42—441no—
1446C42—441no—
1447C42—441no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42C22×Dic1114yescomplemented
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—28no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23#6703712yes—
1505C23#6703712yes—
1506C23#6704212yes—
1507C23#6704312yes—
1508C23C23×Dic1112yes—
1509C23C23×Dic1112yes—
1510C23C23×Dic1112yes—
1511C23C23×Dic1112yes—
1512C23C23×Dic1112yes—
1513C23C23×Dic1112yes—
1514C23C24×D1111yescharacteristic
1515Q8—44no—
1516D4—28no—
1517D4—28no—
1518D4—28no—
1519D4—28no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—112no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—444no—
1598C2×C4—444no—
1599C2×C4—444no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—882no—
1604C2×C4—882no—
1605C2×C4—882no—
1606C2×C4—882no—
1607C2×C4—882no—
1608C2×C4—882no—
1609C2×C4—882no—
1610C2×C4—882no—
1611C2×C4C23×Dic1112yes—
1612C2×C4C23×Dic1112yes—
1613C2×C4C23×Dic1112yes—
1614C2×C4C23×Dic1112yes—
1615C2×C4C23×Dic1112yes—
1616C2×C4C23×Dic1112yes—
1617C2×C4C23×Dic1112yes—
1618C2×C4C23×Dic1112yes—
1619C2×C4C23×Dic1112yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22#1062332914yes—
1663C22#1062335814yes—
1664C22C2×#6703711yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6704211yescharacteristic
1667C22C2×#6704311yescharacteristic
1668C22D11×H(5,𝔽2)11yescharacteristic
1669C22#1062345511yescharacteristic
1670C22C24×Dic1111yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—222no—
1681C4—441no—
1682C4—441no—
1683C4—441no—
1684C4—441no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2C2×#1062332911yescharacteristic
1703C2C2×#1062335811yescharacteristic
1704C2H(5,𝔽2)×Dic1111yescharacteristic
1705C2#1308276511yescharacteristic
1706C2#1308280211yescharacteristic
1707C2#1308281311yescharacteristic
1708C2#1308283111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#546C2
socle, cosocleC23×C11C25
hypercenterC2×#546D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13071790C2semidirect
2. #13071773C2semidirect
3. #13071773C2semidirect
4. #13071764C2semidirect
5. #13071701C2semidirect
6. #13071636C2semidirect
7. #13071612C2semidirect
8. #13071600C2semidirect
9. #13071600C2semidirect
10. #13071545C2semidirect
11. #13071526C2semidirect
12. #13071465C2semidirect
13. #13071465C2semidirect
14. #13071446C2semidirect
15. D4×C22⋊Dic11C2semidirect
16. #13071431C2semidirect
17. #13071410C2semidirect
18. #13071351C2semidirect
19. #13071321C2semidirect
20. #13071321C2semidirect
21. #13071311C2semidirect
22. #13071288C2semidirect
23. #13071277C2semidirect
24. #13071249C2semidirect
25. #13071249C2semidirect
26. #13071230C2semidirect
27. #13071208C2semidirect
28. #120×Dic11C2semidirect
29. C2×#10622833C2semidirect
30. C2×#10622563C2semidirect
35. C11×#546C4semidirect
58. C2×D4×Dic11C22semidirect
59. C2×D4×Dic11C22semidirect
60. C2×D4×Dic11C22semidirect
61. C2×D4×Dic11C22semidirect
62. C2×#66979C22semidirect
63. C2×#66979C22semidirect
64. C22×C4⋊Dic11C22semidirect
65. C22×C4⋊Dic11C22semidirect
68. #10622843C22semidirect
69. #10622843C22semidirect
70. #10622843C22semidirect
71. #10622843C22semidirect
74. #10622834C22semidirect
75. #10622834C22semidirect
76. #10622834C22semidirect
77. #10622834C22semidirect
92. #10622833C22semidirect
93. #10622833C22semidirect
94. #10622833C22semidirect
95. #10622833C22semidirect
96. #10622833C22semidirect
97. #10622833C22semidirect
98. #10622833C22semidirect
99. #10622833C22semidirect
101. #10622825C22semidirect
102. #10622825C22semidirect
103. #10622825C22semidirect
104. #10622825C22semidirect
105. #10622825C22semidirect
106. #10622825C22semidirect
107. #10622825C22semidirect
108. #10622825C22semidirect
109. #10622824C22semidirect
110. #10622824C22semidirect
111. #10622824C22semidirect
113. C4×C22⋊Dic11C22semidirect
114. C4×C22⋊Dic11C22semidirect
117. C2×C11⋊#95C22semidirect
118. C2×C11⋊#95C22semidirect
119. C2×C11⋊#95C22semidirect
120. #10622598C22semidirect
121. #10622598C22semidirect
122. #10622598C22semidirect
123. #10622598C22semidirect
124. #10622594C22semidirect
125. #10622594C22semidirect
126. #10622594C22semidirect
127. #10622594C22semidirect
128. #10622594C22semidirect
129. #10622594C22semidirect
130. #10622594C22semidirect
131. #10622594C22semidirect
132. #10622594C22semidirect
133. #10622594C22semidirect
134. C4⋊C4×Dic11C22semidirect
135. C4⋊C4×Dic11C22semidirect
136. #10622564C22semidirect
137. #10622564C22semidirect
138. #10622564C22semidirect
139. #10622564C22semidirect
140. #10622564C22semidirect
141. #10622564C22semidirect
142. #10622564C22semidirect
143. #10622564C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
148. #10622564C22semidirect
149. #10622564C22semidirect
150. #10622564C22semidirect
151. #10622564C22semidirect
152. #10622564C22semidirect
153. #10622564C22semidirect
162. #10622563C22semidirect
163. #10622563C22semidirect
164. #10622563C22semidirect
165. #10622563C22semidirect
166. #10622563C22semidirect
167. #10622563C22semidirect
168. #10622563C22semidirect
169. #10622563C22semidirect
170. #10622563C22semidirect
171. #10622563C22semidirect
172. #10622563C22semidirect
173. #10622563C22semidirect
174. #10622563C22semidirect
175. #10622563C22semidirect
180. C22⋊C4×Dic11C22semidirect
181. C22⋊C4×Dic11C22semidirect
182. C22⋊C4×Dic11C22semidirect
183. C22⋊C4×Dic11C22semidirect
184. #10622550C22semidirect
185. #10622549C22semidirect
186. #10622549C22semidirect
187. C4×C4⋊Dic11C22semidirect
192. C2×C11×#41C2×C4semidirect
196. C22×D4×C11C2×C4semidirect
229. C11×#124C2×C4semidirect
230. C11×#123C2×C4semidirect
231. C11×#123C2×C4semidirect
232. C11×C22⋊Q8C2×C4semidirect
233. C11×#121C2×C4semidirect
234. C11×#121C2×C4semidirect
235. C11×#121C2×C4semidirect
236. C11×#120C2×C4semidirect
237. C11×#120C2×C4semidirect
238. C4×D4×C11C2×C4semidirect
239. C4×D4×C11C2×C4semidirect
244. C2×C11×C22⋊C4C2×C4semidirect
245. C2×C11×C22⋊C4C2×C4semidirect
406. C2×Q8×C11C22×C4semidirect
433. C2×D4×C11C22×C4semidirect
434. C2×D4×C11C22×C4semidirect
450. C22×C4×C11C22×C4semidirect
451. C22×C4×C11C22×C4semidirect
452. C22×C4×C11C22×C4semidirect
521. C11×C4⋊C4C22×C4semidirect
522. C11×C4⋊C4C22×C4semidirect
523. C11×C4⋊C4C22×C4semidirect
524. C11×C4⋊C4C22×C4semidirect
532. C11×C22⋊C4C22×C4semidirect
533. C11×C22⋊C4C22×C4semidirect
534. C11×C22⋊C4C22×C4semidirect
535. C11×C22⋊C4C22×C4semidirect
536. C11×C22⋊C4C22×C4semidirect
537. C42×C11C22×C4semidirect
800. #546Dic11semidirect
1033. C2×#41C2×Dic11semidirect
1037. C22×D4C2×Dic11semidirect
1070. #124C2×Dic11semidirect
1071. #123C2×Dic11semidirect
1072. #123C2×Dic11semidirect
1073. C22⋊Q8C2×Dic11semidirect
1074. #121C2×Dic11semidirect
1075. #121C2×Dic11semidirect
1076. #121C2×Dic11semidirect
1077. #120C2×Dic11semidirect
1078. #120C2×Dic11semidirect
1087. C4×D4C2×Dic11semidirect
1088. C4×D4C2×Dic11semidirect
1156. C2×C22⋊C4C2×Dic11semidirect
1157. C2×C22⋊C4C2×Dic11semidirect
1259. C2×Q8C22×Dic11semidirect
1286. C2×D4C22×Dic11semidirect
1287. C2×D4C22×Dic11semidirect
1362. C22×C4C22×Dic11semidirect
1363. C22×C4C22×Dic11semidirect
1364. C22×C4C22×Dic11semidirect
1394. C4⋊C4C22×Dic11semidirect
1395. C4⋊C4C22×Dic11semidirect
1396. C4⋊C4C22×Dic11semidirect
1397. C4⋊C4C22×Dic11semidirect
1439. C22⋊C4C22×Dic11semidirect
1440. C22⋊C4C22×Dic11semidirect
1441. C22⋊C4C22×Dic11semidirect
1442. C22⋊C4C22×Dic11semidirect
1443. C22⋊C4C22×Dic11semidirect
1456. C42C22×Dic11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
#130717902
#130717732
#130717642
#130717012
#130716362
#130716122
#130716002
#130715452
#130715262
#130714652
#130714462
D4×C22⋊Dic112
#130714312
#130714102
#130713512
#130713212
#130713112
#130712882
#130712772
#130712492
#130712302
#130712082
#120×Dic112
C2×#106228332
C2×#106225632
C2×C11×#5462
#3445611