Finite Group Databasebeta

← #14917350

Subgroups — #14917350

Order 2816.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071808C211yesmaximal, characteristic, complemented
2#13071802C211yesmaximal, characteristic, complemented
3#13071782C211yesmaximal, characteristic, complemented
4#13071764C211yesmaximal, characteristic, complemented
5#13071740C211yesmaximal, characteristic, complemented
6#13071716C211yesmaximal, characteristic, complemented
7#13071701C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic
9#13071636C211yesmaximal, characteristic
10#13071625C211yesmaximal, characteristic, complemented
11#13071625C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071556C211yesmaximal, characteristic, complemented
14#13071545C211yesmaximal, characteristic, complemented
15#13071526C211yesmaximal, characteristic, complemented
16D4×C4⋊Dic11C211yesmaximal, characteristic, complemented
17#13071422C211yesmaximal, characteristic, complemented
18#13071410C211yesmaximal, characteristic, complemented
19#13071395C211yesmaximal, characteristic, complemented
20#13071395C211yesmaximal, characteristic, complemented
21#13071358C211yesmaximal, characteristic, complemented
22#13071351C211yesmaximal, characteristic, complemented
23#13071300C211yesmaximal, characteristic, complemented
24#13071288C211yesmaximal, characteristic, complemented
25#13071288C211yesmaximal, characteristic, complemented
26#13071288C211yesmaximal, characteristic, complemented
27#13071219C211yesmaximal, characteristic, complemented
28#123×Dic11C211yesmaximal, characteristic, complemented
29#123×Dic11C211yesmaximal, characteristic, complemented
30C2×#10622598C211yesmaximal, characteristic, complemented
31C2×C11×#539C211yesmaximal, characteristic
32C11×#539C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C2×Q8×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×#66979C2211yescharacteristic
55C22×C4⋊Dic11C2211yescharacteristic
56C22×C4⋊Dic11C2211yescharacteristic
57C22×C4⋊Dic11C2211yescharacteristic
58C22×C4⋊Dic11C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic
60#10622843C2211yescharacteristic
61#10622843C2211yescharacteristic
62#10622843C2211yescharacteristic
63#10622834C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622825C2211yescharacteristic
71#10622825C2211yescharacteristic
72#10622825C2211yescharacteristic
73#10622825C2211yescharacteristic
74#10622825C2211yescharacteristic
75#10622824C2211yescharacteristic
76#10622824C2211yescharacteristic
77#10622824C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622598C2211yescharacteristic
85#10622598C2211yescharacteristic
86#10622598C2211yescharacteristic
87#10622598C2211yescharacteristic
88#10622598C2211yescharacteristic
89#10622598C2211yescharacteristic
90#10622598C2211yescharacteristic
91#10622598C2211yescharacteristic
92#10622598C2211yescharacteristic
93#10622598C2211yescharacteristic
94#10622598C2211yescharacteristic
95#10622598C2211yescharacteristic
96#10622598C2211yescharacteristic
97#10622598C2211yescharacteristic
98#10622598C2211yescharacteristic
99#10622598C2211yescharacteristic
100#10622598C2211yescharacteristic
101#10622598C2211yescharacteristic
102#10622598C2211yescharacteristic
103#10622598C2211yescharacteristic
104#10622594C2211yescharacteristic
105#10622594C2211yescharacteristic
106#10622594C2211yescharacteristic
107#10622594C2211yescharacteristic
108#10622594C2211yescharacteristic
109#10622594C2211yescharacteristic
110#10622594C2211yescharacteristic
111#10622594C2211yescharacteristic
112#10622594C2211yescharacteristic
113#10622594C2211yescharacteristic
114#10622594C2211yescharacteristic
115#10622594C2211yescharacteristic
116#10622594C2211yescharacteristic
117#10622594C2211yescharacteristic
118#10622594C2211yescharacteristic
119#10622594C2211yescharacteristic
120#10622594C2211yescharacteristic
121#10622594C2211yescharacteristic
122#10622594C2211yescharacteristic
123#10622594C2211yescharacteristic
124#10622594C2211yescharacteristic
125#10622594C2211yescharacteristic
126#10622594C2211yescharacteristic
127#10622594C2211yescharacteristic
128#10622594C2211yescharacteristic
129#10622594C2211yescharacteristic
130#10622594C2211yescharacteristic
131#10622594C2211yescharacteristic
132C4⋊C4×Dic11C2211yescharacteristic
133C4⋊C4×Dic11C2211yescharacteristic
134C4⋊C4×Dic11C2211yescharacteristic
135C4⋊C4×Dic11C2211yescharacteristic
136C4⋊C4×Dic11C2211yescharacteristic
137C4⋊C4×Dic11C2211yescharacteristic
138C4⋊C4×Dic11C2211yescharacteristic
139C4⋊C4×Dic11C2211yescharacteristic
140#10622564C2211yescharacteristic
141#10622564C2211yescharacteristic
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic
144#10622564C2211yescharacteristic
145#10622564C2211yescharacteristic
146#10622564C2211yescharacteristic
147#10622564C2211yescharacteristic
148#10622564C2211yescharacteristic
149#10622564C2211yescharacteristic
150#10622564C2211yescharacteristic
151#10622564C2211yescharacteristic
152#10622564C2211yescharacteristic
153#10622564C2211yescharacteristic
154#10622564C2211yescharacteristic
155#10622564C2211yescharacteristic
156#10622563C2211yescharacteristic
157#10622563C2211yescharacteristic
158#10622563C2211yescharacteristic
159#10622563C2211yescharacteristic
160#10622563C2211yescharacteristic
161#10622563C2211yescharacteristic
162#10622563C2211yescharacteristic
163#10622563C2211yescharacteristic
164#10622563C2211yescharacteristic
165#10622563C2211yescharacteristic
166#10622563C2211yescharacteristic
167#10622563C2211yescharacteristic
168#10622563C2211yescharacteristic
169#10622563C2211yescharacteristic
170C22⋊C4×Dic11C2211yescharacteristic
171C22⋊C4×Dic11C2211yescharacteristic
172C22⋊C4×Dic11C2211yescharacteristic
173C22⋊C4×Dic11C2211yescharacteristic
174C22⋊C4×Dic11C2211yescharacteristic
175C22⋊C4×Dic11C2211yescharacteristic
176C22⋊C4×Dic11C2211yescharacteristic
177C22⋊C4×Dic11C2211yescharacteristic
178C22⋊C4×Dic11C2211yescharacteristic
179C22⋊C4×Dic11C2211yescharacteristic
180#10622550C2211yescharacteristic
181#10622549C2211yescharacteristic
182#10622549C2211yescharacteristic
183#10622548C2211yescharacteristic
184C4×C4⋊Dic11C2211yescharacteristic
185C4×C4⋊Dic11C2211yescharacteristic
186C4×C4⋊Dic11C2211yescharacteristic
187#10622545C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C11×#126C2×C418yescomplemented
206C11×#126C2×C418yescomplemented
207C11×#125C2×C418yescomplemented
208C11×#125C2×C418yescomplemented
209C11×#123C2×C418yescomplemented
210C11×#123C2×C418yescomplemented
211C11×#123C2×C418yescomplemented
212C11×#123C2×C418yescomplemented
213C11×C22⋊Q8C2×C418yescomplemented
214C11×C22⋊Q8C2×C418yescomplemented
215C11×C22⋊Q8C2×C418yescomplemented
216C11×#121C2×C418yes—
217C4×D4×C11C2×C418yescomplemented
218C4×D4×C11C2×C418yescomplemented
219C2×C11×C4⋊C4C2×C418yescomplemented
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262Q8×Dic11—42no—
263D4×Dic11—42no—
264D4×Dic11—42no—
265D4×Dic11—42no—
266D4×Dic11—42no—
267D4×Dic11—42no—
268#66979—42no—
269C2×C4⋊Dic11—42no—
270C2×C4⋊Dic11—42no—
271C2×C4⋊Dic11—42no—
272C2×C4⋊Dic11—42no—
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4×Dic11—42no—
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
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
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
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
370#34417—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11C22×C414yes—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11C22×C414yes—
384C2×D4×C11C22×C414yes—
385C2×D4×C11C22×C414yes—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11C22×C414yes—
397C22×C4×C11C22×C414yes—
398C22×C4×C11C22×C414yes—
399C22×C4×C11C22×C414yes—
400C22×C4×C11C22×C414yes—
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C11×C4⋊C4C22×C414yes—
454C11×C4⋊C4C22×C414yes—
455C11×C4⋊C4C22×C414yes—
456C11×C4⋊C4C22×C414yes—
457C11×C4⋊C4C22×C414yes—
458C11×C4⋊C4C22×C414yes—
459C11×C4⋊C4C22×C414yes—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C4⋊C4C22×C414yes—
463C11×C4⋊C4C22×C414yes—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C22⋊C4C22×C414yes—
468C11×C22⋊C4C22×C414yes—
469C11×C22⋊C4C22×C414yes—
470C11×C22⋊C4C22×C414yes—
471C11×C22⋊C4C22×C414yes—
472C11×C22⋊C4C22×C414yes—
473C11×C22⋊C4C22×C414yes—
474C11×C22⋊C4C22×C414yes—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11C22×C414yes—
478C42×C11C22×C414yes—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
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—
495C4⋊Dic11—22no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—22no—
500C4⋊Dic11—22no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C2×#539D1111yescharacteristic
544#2383—111no—
545#2382—111no—
546#2378—111no—
547#2376—111no—
548#2373—111no—
549#2370—111no—
550#2368—111no—
551#2364—111no—
552#2361—111no—
553#2360—111no—
554#2360—111no—
555#2359—111no—
556#2353—111no—
557#2352—111no—
558#2349—111no—
559D4×C4⋊C4—111no—
560#2336—111no—
561#2335—111no—
562#2334—111no—
563#2334—111no—
564#2330—111no—
565#2329—111no—
566#2323—111no—
567#2322—111no—
568#2322—111no—
569#2322—111no—
570#2313—111no—
571C4×#123—111no—
572C4×#123—111no—
573C2×#389—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11C23×C412yes—
591C23×C11C23×C412yes—
592C23×C11C23×C412yes—
593C23×C11H(5,𝔽2)12yes—
594C23×C112−1+412yes—
595C23×C11C2511yescharacteristic
596Q8×C11—44no—
597D4×C11—28no—
598D4×C11—28no—
599D4×C11—44no—
600C2×C4×C11—28no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—44no—
626C2×C4×C11—44no—
627C2×C4×C11—44no—
628C2×C4×C11—44no—
629C2×C4×C11C23×C412yes—
630C2×C4×C11C23×C412yes—
631C2×C4×C11C23×C412yes—
632C2×C4×C11C23×C412yes—
633C2×C4×C11C23×C412yes—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C23×C412yes—
639C2×C4×C11C23×C412yes—
640C2×C4×C11C23×C412yes—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—44no—
688C2×Dic11—44no—
689C2×Dic11—82no—
690C2×Dic11—82no—
691C2×Dic11—82no—
692C2×Dic11—82no—
693C2×Dic11—82no—
694C2×Dic11—82no—
695C2×Dic11H(5,𝔽2)12yes—
696C2×Dic112−1+412yes—
697#539Dic11116yescomplemented
698C2×#126C2×D1111yescharacteristic
699C2×#126C2×D1111yescharacteristic
700C2×#125C2×D1111yescharacteristic
701C2×#125C2×D1111yescharacteristic
702C2×#123C2×D1111yescharacteristic
703C2×#123C2×D1111yescharacteristic
704C2×#123C2×D1111yescharacteristic
705C2×#123C2×D1111yescharacteristic
706C2×C22⋊Q8C2×D1111yescharacteristic
707C2×C22⋊Q8C2×D1111yescharacteristic
708C2×C22⋊Q8C2×D1111yescharacteristic
709C2×#121C2×D1111yescharacteristic
710C2×C4×Q8—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4C2×D1111yescharacteristic
717C2×C4×D4C2×D1111yescharacteristic
718C2×#117—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C4⋊C4—111no—
722C22×C4⋊C4—111no—
723C22×C4⋊C4C2×D1111yescharacteristic
724C22×C42—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#390—111no—
729#389—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#384—111no—
814#383—111no—
815#382—111no—
816#382—111no—
817#381—111no—
818#381—111no—
819#381—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849#376—111no—
850C2×#95—111no—
851C2×#95—111no—
852C2×#95—111no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11#52014yes—
874C22×C11C24×C411yescharacteristic
875C22×C11C2×H(5,𝔽2)11yescharacteristic
876C22×C11C2×H(5,𝔽2)11yescharacteristic
877C22×C11C2×2−1+411yescharacteristic
878C22×C11C2×2−1+411yescharacteristic
879C22×C11#58511yescharacteristic
880C22×C11#58511yescharacteristic
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893Dic11—22no—
894Dic11—22no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909C22×Q8C22×D1111yescharacteristic
910C22×D4C22×D1111yescharacteristic
911C22×D4C22×D1111yescharacteristic
912C22×D4C22×D1111yescharacteristic
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4—111no—
921C23×C4C22×D1111yescharacteristic
922C23×C4C22×D1111yescharacteristic
923C23×C4C22×D1111yescharacteristic
924C23×C4C22×D1111yescharacteristic
925C23×C4C22×D1111yescharacteristic
926#126C2×Dic1118yescomplemented
927#126C2×Dic1118yescomplemented
928#125C2×Dic1118yescomplemented
929#125C2×Dic1118yescomplemented
930#123C2×Dic1118yescomplemented
931#123C2×Dic1118yescomplemented
932#123C2×Dic1118yescomplemented
933#123C2×Dic1118yescomplemented
934C22⋊Q8C2×Dic1118yescomplemented
935C22⋊Q8C2×Dic1118yescomplemented
936C22⋊Q8C2×Dic1118yescomplemented
937#121C2×Dic1118yes—
938C4×Q8—442no—
939C4×D4—442no—
940C4×D4—442no—
941C4×D4—442no—
942C4×D4—442no—
943C4×D4—442no—
944C4×D4C2×Dic1118yescomplemented
945C4×D4C2×Dic1118yescomplemented
946#117—442no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—442no—
976C2×C4⋊C4—442no—
977C2×C4⋊C4—442no—
978C2×C4⋊C4—442no—
979C2×C4⋊C4C2×Dic1118yescomplemented
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—442no—
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091C2×C11—24no—
1092C2×C11—42no—
1093C2×C11—42no—
1094C2×C11C2×#52011yescharacteristic
1095C2×C11C4×H(5,𝔽2)11yescharacteristic
1096C2×C11C4×2−1+411yescharacteristic
1097C2×C11#353411yescharacteristic
1098C2×C11#353511yescharacteristic
1099C2×C11#355211yescharacteristic
1100C2×C11#355311yescharacteristic
1101C24C23×D1111yescharacteristic
1102C24C23×D1111yescharacteristic
1103C24C23×D1111yescharacteristic
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8C22×Dic1114yes—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4C22×Dic1114yes—
1114C2×D4C22×Dic1114yes—
1115C2×D4C22×Dic1114yes—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4C22×Dic1114yes—
1167C22×C4C22×Dic1114yes—
1168C22×C4C22×Dic1114yes—
1169C22×C4C22×Dic1114yes—
1170C22×C4C22×Dic1114yes—
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4C22×Dic1114yes—
1212C4⋊C4C22×Dic1114yes—
1213C4⋊C4C22×Dic1114yes—
1214C4⋊C4C22×Dic1114yes—
1215C4⋊C4C22×Dic1114yes—
1216C4⋊C4C22×Dic1114yes—
1217C4⋊C4C22×Dic1114yes—
1218C4⋊C4C22×Dic1114yes—
1219C4⋊C4C22×Dic1114yes—
1220C4⋊C4C22×Dic1114yes—
1221C4⋊C4C22×Dic1114yes—
1222C4⋊C4C22×Dic1114yes—
1223C4⋊C4C22×Dic1114yes—
1224C4⋊C4C22×Dic1114yes—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4C22×Dic1114yes—
1242C22⋊C4C22×Dic1114yes—
1243C22⋊C4C22×Dic1114yes—
1244C22⋊C4C22×Dic1114yes—
1245C22⋊C4C22×Dic1114yes—
1246C22⋊C4C22×Dic1114yes—
1247C22⋊C4C22×Dic1114yes—
1248C22⋊C4C22×Dic1114yes—
1249C22⋊C4C22×Dic1114yes—
1250C22⋊C4C22×Dic1114yes—
1251C42—222no—
1252C42—222no—
1253C42—441no—
1254C42—441no—
1255C42—441no—
1256C42—441no—
1257C42—441no—
1258C42—441no—
1259C42—441no—
1260C42—441no—
1261C42—441no—
1262C42—441no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42C22×Dic1114yes—
1272C42C22×Dic1114yes—
1273C11#3441711yescharacteristic, complemented, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23#6704212yes—
1291C23#6704312yes—
1292C23C23×Dic1112yes—
1293C23C23×Dic1112yes—
1294C23C23×Dic1112yes—
1295C23C24×D1111yescharacteristic
1296Q8—44no—
1297D4—28no—
1298D4—28no—
1299D4—44no—
1300C2×C4—28no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—44no—
1326C2×C4—44no—
1327C2×C4—44no—
1328C2×C4—44no—
1329C2×C4—112no—
1330C2×C4—112no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—882no—
1380C2×C4—882no—
1381C2×C4—882no—
1382C2×C4—882no—
1383C2×C4—882no—
1384C2×C4—882no—
1385C2×C4C23×Dic1112yes—
1386C2×C4C23×Dic1112yes—
1387C2×C4C23×Dic1112yes—
1388C2×C4C23×Dic1112yes—
1389C2×C4C23×Dic1112yes—
1390C2×C4C23×Dic1112yes—
1391C2×C4C23×Dic1112yes—
1392C2×C4C23×Dic1112yes—
1393C2×C4C23×Dic1112yes—
1394C2×C4C23×Dic1112yes—
1395C2×C4C23×Dic1112yes—
1396C2×C4C23×Dic1112yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22#1062335814yes—
1418C22C2×#6704211yescharacteristic
1419C22C2×#6704311yescharacteristic
1420C22D11×H(5,𝔽2)11yescharacteristic
1421C22#1062345511yescharacteristic
1422C22D11×2−1+411yescharacteristic
1423C22#1062345711yescharacteristic
1424C22C24×Dic1111yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—222no—
1438C4—222no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C2—24no—
1454C2—42no—
1455C2—42no—
1456C2C2×#1062335811yescharacteristic
1457C2H(5,𝔽2)×Dic1111yescharacteristic
1458C22−1+4×Dic1111yescharacteristic
1459C2#1308280411yescharacteristic
1460C2#1308282311yescharacteristic
1461C2#1308304911yescharacteristic
1462C2#1308306611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#539C2
socle, cosocleC23×C11C25
prime radicalC2×C11×#121C22
hypercenterC2×#539D11
hypocenterC11#34417
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13071808C2semidirect
2. #13071802C2semidirect
3. #13071782C2semidirect
4. #13071764C2semidirect
5. #13071740C2semidirect
6. #13071716C2semidirect
7. #13071701C2semidirect
10. #13071625C2semidirect
11. #13071625C2semidirect
12. #13071612C2semidirect
13. #13071556C2semidirect
14. #13071545C2semidirect
15. #13071526C2semidirect
16. D4×C4⋊Dic11C2semidirect
17. #13071422C2semidirect
18. #13071410C2semidirect
19. #13071395C2semidirect
20. #13071395C2semidirect
21. #13071358C2semidirect
22. #13071351C2semidirect
23. #13071300C2semidirect
24. #13071288C2semidirect
25. #13071288C2semidirect
26. #13071288C2semidirect
27. #13071219C2semidirect
28. #123×Dic11C2semidirect
29. #123×Dic11C2semidirect
30. C2×#10622598C2semidirect
32. C11×#539C4semidirect
205. C11×#126C2×C4semidirect
206. C11×#126C2×C4semidirect
207. C11×#125C2×C4semidirect
208. C11×#125C2×C4semidirect
209. C11×#123C2×C4semidirect
210. C11×#123C2×C4semidirect
211. C11×#123C2×C4semidirect
212. C11×#123C2×C4semidirect
213. C11×C22⋊Q8C2×C4semidirect
214. C11×C22⋊Q8C2×C4semidirect
215. C11×C22⋊Q8C2×C4semidirect
217. C4×D4×C11C2×C4semidirect
218. C4×D4×C11C2×C4semidirect
219. C2×C11×C4⋊C4C2×C4semidirect
697. #539Dic11semidirect
926. #126C2×Dic11semidirect
927. #126C2×Dic11semidirect
928. #125C2×Dic11semidirect
929. #125C2×Dic11semidirect
930. #123C2×Dic11semidirect
931. #123C2×Dic11semidirect
932. #123C2×Dic11semidirect
933. #123C2×Dic11semidirect
934. C22⋊Q8C2×Dic11semidirect
935. C22⋊Q8C2×Dic11semidirect
936. C22⋊Q8C2×Dic11semidirect
944. C4×D4C2×Dic11semidirect
945. C4×D4C2×Dic11semidirect
979. C2×C4⋊C4C2×Dic11semidirect
1273. C11#34417semidirect

Maximal subgroups

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

subgroupindex
#130718082
#130718022
#130717822
#130717642
#130717402
#130717162
#130717012
#130716682
#130716362
#130716252
#130716122
#130715562
#130715452
#130715262
D4×C4⋊Dic112
#130714222
#130714102
#130713952
#130713582
#130713512
#130713002
#130712882
#130712192
#123×Dic112
C2×#106225982
C2×C11×#5392
#3441711