Finite Group Databasebeta

← #14918187

Subgroups — #14918187

Order 2816.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071808C211yesmaximal, characteristic, complemented
2#13071782C211yesmaximal, characteristic, complemented
3#13071764C211yesmaximal, characteristic, complemented
4#13071764C211yesmaximal, characteristic, complemented
5#13071752C211yesmaximal, characteristic, complemented
6#13071752C211yesmaximal, characteristic, complemented
7#13071740C211yesmaximal, characteristic, complemented
8#13071701C211yesmaximal, characteristic, complemented
9#13071647C211yesmaximal, characteristic, complemented
10#13071647C211yesmaximal, characteristic, complemented
11#13071612C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071565C211yesmaximal, characteristic, complemented
14#13071556C211yesmaximal, characteristic, complemented
15#13071493C211yesmaximal, characteristic, complemented
16#13071485C211yesmaximal, characteristic, complemented
17#13071422C211yesmaximal, characteristic, complemented
18#13071422C211yesmaximal, characteristic, complemented
19#13071410C211yesmaximal, characteristic, complemented
20#13071410C211yesmaximal, characteristic, complemented
21#13071395C211yesmaximal, characteristic, complemented
22#13071383C211yesmaximal, characteristic
23#13071358C211yesmaximal, characteristic, complemented
24#13071351C211yesmaximal, characteristic, complemented
25#13071311C211yesmaximal, characteristic
26#13071300C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic, complemented
28#125×Dic11C211yesmaximal, characteristic, complemented
29#126×Dic11C211yesmaximal, characteristic, complemented
30#13071081C211yesmaximal, 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×#66979C2211yescharacteristic
51C2×#66979C2211yescharacteristic
52C2×#66979C2211yescharacteristic
53C2×#66979C2211yescharacteristic
54#10622843C2211yescharacteristic
55#10622843C2211yescharacteristic
56#10622843C2211yescharacteristic
57#10622834C2211yescharacteristic
58#10622834C2211yescharacteristic
59#10622834C2211yescharacteristic
60#10622834C2211yescharacteristic
61#10622834C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622825C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622825C2211yescharacteristic
71#10622825C2211yescharacteristic
72#10622825C2211yescharacteristic
73#10622825C2211yescharacteristic
74#10622824C2211yescharacteristic
75#10622824C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
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#10622594C2211yescharacteristic
99#10622594C2211yescharacteristic
100#10622594C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622594C2211yescharacteristic
103#10622594C2211yescharacteristic
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
126C4⋊C4×Dic11C2211yescharacteristic
127C4⋊C4×Dic11C2211yescharacteristic
128C4⋊C4×Dic11C2211yescharacteristic
129C4⋊C4×Dic11C2211yescharacteristic
130C4⋊C4×Dic11C2211yescharacteristic
131C4⋊C4×Dic11C2211yescharacteristic
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#10622564C2211yescharacteristic
157#10622564C2211yescharacteristic
158#10622564C2211yescharacteristic
159#10622564C2211yescharacteristic
160#10622564C2211yescharacteristic
161#10622564C2211yescharacteristic
162#10622564C2211yescharacteristic
163#10622564C2211yescharacteristic
164#10622563C2211yescharacteristic
165#10622563C2211yescharacteristic
166#10622563C2211yescharacteristic
167#10622563C2211yescharacteristic
168#10622563C2211yescharacteristic
169#10622563C2211yescharacteristic
170#10622563C2211yescharacteristic
171#10622563C2211yescharacteristic
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#10622550C2211yescharacteristic
182#10622549C2211yescharacteristic
183#10622548C2211yescharacteristic
184C4×C4⋊Dic11C2211yescharacteristic
185C4×C4⋊Dic11C2211yescharacteristic
186#10622545C2211yescharacteristic
187C42×Dic11C2211yescharacteristic
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
201C11×#126C2×C418yescomplemented
202C11×#126C2×C418yescomplemented
203C11×#125C2×C418yescomplemented
204C11×#125C2×C418yescomplemented
205C11×#123C2×C418yes—
206C11×#123C2×C418yes—
207C11×#123C2×C418yescomplemented
208C11×#123C2×C418yescomplemented
209C11×C22⋊Q8C2×C418yescomplemented
210C11×C22⋊Q8C2×C418yescomplemented
211C11×C22⋊Q8C2×C418yescomplemented
212C11×#121C2×C418yes—
213C4×D4×C11C2×C418yescomplemented
214C4×D4×C11C2×C418yescomplemented
215C2×C11×C4⋊C4C2×C418yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
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—
264#66979—42no—
265#66979—42no—
266#66979—42no—
267#66979—42no—
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
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×Dic11C2311yescharacteristic
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
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
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
364#34452—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C2×Q8×C11—41no—
369C2×Q8×C11—41no—
370C2×Q8×C11C22×C414yes—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11C22×C414yes—
378C2×D4×C11C22×C414yes—
379C2×D4×C11C22×C414yes—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11C22×C414yes—
391C22×C4×C11C22×C414yes—
392C22×C4×C11C22×C414yes—
393C22×C4×C11C22×C414yes—
394C22×C4×C11C22×C414yes—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×Dic11—22no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C11×C4⋊C4C22×C414yes—
436C11×C4⋊C4C22×C414yes—
437C11×C4⋊C4C22×C414yes—
438C11×C4⋊C4C22×C414yes—
439C11×C4⋊C4C22×C414yes—
440C11×C4⋊C4C22×C414yes—
441C11×C4⋊C4C22×C414yes—
442C11×C4⋊C4C22×C414yes—
443C11×C4⋊C4C22×C414yes—
444C11×C4⋊C4C22×C414yes—
445C11×C4⋊C4C22×C414yes—
446C11×C4⋊C4C22×C414yes—
447C11×C4⋊C4C22×C414yes—
448C11×C4⋊C4C22×C414yes—
449C11×C22⋊C4C22×C414yes—
450C11×C22⋊C4C22×C414yes—
451C11×C22⋊C4C22×C414yes—
452C11×C22⋊C4C22×C414yes—
453C11×C22⋊C4C22×C414yes—
454C11×C22⋊C4C22×C414yes—
455C11×C22⋊C4C22×C414yes—
456C11×C22⋊C4C22×C414yes—
457C11×C22⋊C4C22×C414yes—
458C11×C22⋊C4C22×C414yes—
459C42×C11C22×C414yes—
460C42×C11C22×C414yes—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
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—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C2×#539D1111yescharacteristic
530#2383—111no—
531#2378—111no—
532#2376—111no—
533#2376—111no—
534#2374—111no—
535#2374—111no—
536#2373—111no—
537#2368—111no—
538#2362—111no—
539#2362—111no—
540#2359—111no—
541#2359—111no—
542#2354—111no—
543#2353—111no—
544#2345—111no—
545#2344—111no—
546#2336—111no—
547#2336—111no—
548#2335—111no—
549#2335—111no—
550#2334—111no—
551#2333—111no—
552#2330—111no—
553#2329—111no—
554#2324—111no—
555#2323—111no—
556#2318—111no—
557C4×#125—111no—
558C4×#126—111no—
559#2293—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11C23×C412yes—
579C23×C11C23×C412yes—
580C23×C11C23×C412yes—
581C23×C11C2511yescharacteristic
582Q8×C11—44no—
583D4×C11—44no—
584D4×C11—44no—
585D4×C11—44no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
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—44no—
611C2×C4×C11—44no—
612C2×C4×C11—44no—
613C2×C4×C11—44no—
614C2×C4×C11—44no—
615C2×C4×C11C23×C412yes—
616C2×C4×C11C23×C412yes—
617C2×C4×C11C23×C412yes—
618C2×C4×C11C23×C412yes—
619C2×C4×C11C23×C412yes—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C11C23×C412yes—
624C2×C4×C11C23×C412yes—
625C2×C4×C11C23×C412yes—
626C2×C4×C11C23×C412yes—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
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—82no—
674C2×Dic11—82no—
675C2×Dic11—82no—
676C2×Dic11—82no—
677C2×Dic11H(5,𝔽2)12yes—
678C2×Dic112−1+412yes—
679#539Dic11116yescomplemented
680C2×#126C2×D1111yescharacteristic
681C2×#126C2×D1111yescharacteristic
682C2×#125C2×D1111yescharacteristic
683C2×#125C2×D1111yescharacteristic
684C2×#123C2×D1111yescharacteristic
685C2×#123C2×D1111yescharacteristic
686C2×#123C2×D1111yescharacteristic
687C2×#123C2×D1111yescharacteristic
688C2×C22⋊Q8C2×D1111yescharacteristic
689C2×C22⋊Q8C2×D1111yescharacteristic
690C2×C22⋊Q8C2×D1111yescharacteristic
691C2×#121C2×D1111yescharacteristic
692C2×C4×Q8—111no—
693C2×C4×D4—111no—
694C2×C4×D4C2×D1111yescharacteristic
695C2×C4×D4C2×D1111yescharacteristic
696C2×#117—111no—
697C2×#117—111no—
698C2×#117—111no—
699C2×#117—111no—
700C22×C4⋊C4C2×D1111yescharacteristic
701#391—111no—
702#391—111no—
703#391—111no—
704#390—111no—
705#390—111no—
706#390—111no—
707#390—111no—
708#390—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#389—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—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#386—111no—
776#386—111no—
777#386—111no—
778#386—111no—
779#386—111no—
780#386—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#384—111no—
790#383—111no—
791#383—111no—
792#382—111no—
793#381—111no—
794#381—111no—
795#380—111no—
796#380—111no—
797#380—111no—
798#380—111no—
799#380—111no—
800#380—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831#376—111no—
832C2×#95—111no—
833C2×#95—111no—
834C43—111no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11C24×C411yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×2−1+411yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C22×C11#58511yescharacteristic
862C22×C11#58511yescharacteristic
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—22no—
873C4×C11—22no—
874C4×C11—22no—
875Dic11—22no—
876Dic11—22no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891C22×Q8C22×D1111yescharacteristic
892C22×D4C22×D1111yescharacteristic
893C22×D4C22×D1111yescharacteristic
894C22×D4C22×D1111yescharacteristic
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4C22×D1111yescharacteristic
900C23×C4C22×D1111yescharacteristic
901C23×C4C22×D1111yescharacteristic
902C23×C4C22×D1111yescharacteristic
903C23×C4C22×D1111yescharacteristic
904#126C2×Dic1118yescomplemented
905#126C2×Dic1118yescomplemented
906#125C2×Dic1118yescomplemented
907#125C2×Dic1118yescomplemented
908#123C2×Dic1118yes—
909#123C2×Dic1118yes—
910#123C2×Dic1118yescomplemented
911#123C2×Dic1118yescomplemented
912C22⋊Q8C2×Dic1118yescomplemented
913C22⋊Q8C2×Dic1118yescomplemented
914C22⋊Q8C2×Dic1118yescomplemented
915#121C2×Dic1118yes—
916C4×Q8—442no—
917C4×D4—442no—
918C4×D4C2×Dic1118yescomplemented
919C4×D4C2×Dic1118yescomplemented
920#117—442no—
921#117—442no—
922#117—442no—
923#117—442no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4C2×Dic1118yescomplemented
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
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—
1067C2×C11—42no—
1068C2×C11—42no—
1069C2×C11—42no—
1070C2×C11#342811yescharacteristic
1071C2×C11C4×H(5,𝔽2)11yescharacteristic
1072C2×C11C4×2−1+411yescharacteristic
1073C2×C11#355911yescharacteristic
1074C2×C11#356211yescharacteristic
1075C2×C11#356411yescharacteristic
1076C2×C11#356611yescharacteristic
1077C24C23×D1111yescharacteristic
1078C24C23×D1111yescharacteristic
1079C24C23×D1111yescharacteristic
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8C22×Dic1114yes—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4C22×Dic1114yes—
1090C2×D4C22×Dic1114yes—
1091C2×D4C22×Dic1114yes—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—222no—
1119C22×C4—441no—
1120C22×C4—441no—
1121C22×C4—441no—
1122C22×C4—441no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4C22×Dic1114yes—
1131C22×C4C22×Dic1114yes—
1132C22×C4C22×Dic1114yes—
1133C22×C4C22×Dic1114yes—
1134C22×C4C22×Dic1114yes—
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C4⋊C4—441no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4C22×Dic1114yes—
1172C4⋊C4C22×Dic1114yes—
1173C4⋊C4C22×Dic1114yes—
1174C4⋊C4C22×Dic1114yes—
1175C4⋊C4C22×Dic1114yes—
1176C4⋊C4C22×Dic1114yes—
1177C4⋊C4C22×Dic1114yes—
1178C4⋊C4C22×Dic1114yes—
1179C4⋊C4C22×Dic1114yes—
1180C4⋊C4C22×Dic1114yes—
1181C4⋊C4C22×Dic1114yes—
1182C4⋊C4C22×Dic1114yes—
1183C4⋊C4C22×Dic1114yes—
1184C4⋊C4C22×Dic1114yes—
1185C22⋊C4—222no—
1186C22⋊C4—222no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C22⋊C4—441no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4C22×Dic1114yes—
1206C22⋊C4C22×Dic1114yes—
1207C22⋊C4C22×Dic1114yes—
1208C22⋊C4C22×Dic1114yes—
1209C22⋊C4C22×Dic1114yes—
1210C22⋊C4C22×Dic1114yes—
1211C22⋊C4C22×Dic1114yes—
1212C22⋊C4C22×Dic1114yes—
1213C22⋊C4C22×Dic1114yes—
1214C22⋊C4C22×Dic1114yes—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—222no—
1220C42—441no—
1221C42—441no—
1222C42—441no—
1223C42—441no—
1224C42—441no—
1225C42—441no—
1226C42—441no—
1227C42—441no—
1228C42—441no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42C22×Dic1114yes—
1240C42C22×Dic1114yes—
1241C11#3445211yescharacteristic, complemented, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23C23×Dic1112yes—
1261C23C23×Dic1112yes—
1262C23C23×Dic1112yes—
1263C23C24×D1111yescharacteristic
1264Q8—44no—
1265D4—44no—
1266D4—44no—
1267D4—44no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
1295C2×C4—44no—
1296C2×C4—44no—
1297C2×C4—112no—
1298C2×C4—112no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
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—882no—
1346C2×C4—882no—
1347C2×C4—882no—
1348C2×C4—882no—
1349C2×C4C23×Dic1112yes—
1350C2×C4C23×Dic1112yes—
1351C2×C4C23×Dic1112yes—
1352C2×C4C23×Dic1112yes—
1353C2×C4C23×Dic1112yes—
1354C2×C4C23×Dic1112yes—
1355C2×C4C23×Dic1112yes—
1356C2×C4C23×Dic1112yes—
1357C2×C4C23×Dic1112yes—
1358C2×C4C23×Dic1112yes—
1359C2×C4C23×Dic1112yes—
1360C2×C4C23×Dic1112yes—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22#1062345311yescharacteristic
1383C22#1062345311yescharacteristic
1384C22D11×H(5,𝔽2)11yescharacteristic
1385C22#1062345511yescharacteristic
1386C22D11×2−1+411yescharacteristic
1387C22#1062345711yescharacteristic
1388C22C24×Dic1111yescharacteristic
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—22no—
1401C4—222no—
1402C4—222no—
1403C4—441no—
1404C4—441no—
1405C4—441no—
1406C4—441no—
1407C4—441no—
1408C4—441no—
1409C4—441no—
1410C4—441no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C2—42no—
1418C2—42no—
1419C2—42no—
1420C2#1308181911yescharacteristic
1421C2H(5,𝔽2)×Dic1111yescharacteristic
1422C22−1+4×Dic1111yescharacteristic
1423C2#1308314211yescharacteristic
1424C2#1308319911yescharacteristic
1425C2#1308323311yescharacteristic
1426C2#1308329511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#539C2
socle, cosocleC23×C11C25
prime radicalC2×C11×#121C22
hypercenterC2×#539D11
hypocenterC11#34452
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. #13071782C2semidirect
3. #13071764C2semidirect
4. #13071764C2semidirect
5. #13071752C2semidirect
6. #13071752C2semidirect
7. #13071740C2semidirect
8. #13071701C2semidirect
9. #13071647C2semidirect
10. #13071647C2semidirect
11. #13071612C2semidirect
12. #13071612C2semidirect
13. #13071565C2semidirect
14. #13071556C2semidirect
15. #13071493C2semidirect
16. #13071485C2semidirect
17. #13071422C2semidirect
18. #13071422C2semidirect
19. #13071410C2semidirect
20. #13071410C2semidirect
21. #13071395C2semidirect
23. #13071358C2semidirect
24. #13071351C2semidirect
26. #13071300C2semidirect
27. #13071249C2semidirect
28. #125×Dic11C2semidirect
29. #126×Dic11C2semidirect
30. #13071081C2semidirect
32. C11×#539C4semidirect
201. C11×#126C2×C4semidirect
202. C11×#126C2×C4semidirect
203. C11×#125C2×C4semidirect
204. C11×#125C2×C4semidirect
207. C11×#123C2×C4semidirect
208. C11×#123C2×C4semidirect
209. C11×C22⋊Q8C2×C4semidirect
210. C11×C22⋊Q8C2×C4semidirect
211. C11×C22⋊Q8C2×C4semidirect
213. C4×D4×C11C2×C4semidirect
214. C4×D4×C11C2×C4semidirect
215. C2×C11×C4⋊C4C2×C4semidirect
679. #539Dic11semidirect
904. #126C2×Dic11semidirect
905. #126C2×Dic11semidirect
906. #125C2×Dic11semidirect
907. #125C2×Dic11semidirect
910. #123C2×Dic11semidirect
911. #123C2×Dic11semidirect
912. C22⋊Q8C2×Dic11semidirect
913. C22⋊Q8C2×Dic11semidirect
914. C22⋊Q8C2×Dic11semidirect
918. C4×D4C2×Dic11semidirect
919. C4×D4C2×Dic11semidirect
948. C2×C4⋊C4C2×Dic11semidirect
1241. C11#34452semidirect

Maximal subgroups

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

subgroupindex
#130718082
#130717822
#130717642
#130717522
#130717402
#130717012
#130716472
#130716122
#130715652
#130715562
#130714932
#130714852
#130714222
#130714102
#130713952
#130713832
#130713582
#130713512
#130713112
#130713002
#130712492
#125×Dic112
#126×Dic112
#130710812
C2×C11×#5392
#3445211