Finite Group Databasebeta

← #14918125

Subgroups — #14918125

Order 2816.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071802C211yesmaximal, characteristic, complemented
2#13071773C211yesmaximal, characteristic, complemented
3#13071773C211yesmaximal, characteristic, complemented
4#13071764C211yesmaximal, characteristic, complemented
5#13071752C211yesmaximal, characteristic, complemented
6#13071722C211yesmaximal, characteristic, complemented
7#13071668C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic, complemented
9#13071658C211yesmaximal, characteristic, complemented
10#13071636C211yesmaximal, characteristic, complemented
11#13071612C211yesmaximal, characteristic, complemented
12#13071612C211yesmaximal, characteristic, complemented
13#13071556C211yesmaximal, characteristic, complemented
14#13071545C211yesmaximal, characteristic, complemented
15#13071501C211yesmaximal, characteristic, complemented
16#13071476C211yesmaximal, characteristic, complemented
17#13071410C211yesmaximal, characteristic, complemented
18#13071410C211yesmaximal, characteristic, complemented
19#13071383C211yesmaximal, characteristic, complemented
20#13071383C211yesmaximal, characteristic, complemented
21#13071342C211yesmaximal, characteristic, complemented
22#13071342C211yesmaximal, characteristic, complemented
23#13071321C211yesmaximal, characteristic, complemented
24#13071321C211yesmaximal, characteristic, complemented
25#13071311C211yesmaximal, characteristic, complemented
26#13071288C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic, complemented
28#123×Dic11C211yesmaximal, characteristic, complemented
29#121×Dic11C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C2×C11×#540C211yesmaximal, characteristic
32C11×#540C4116yescomplemented
33C2×C11×#127C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×D4×Dic11C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×#66979C2211yescharacteristic
57C2×#66979C2211yescharacteristic
58C22×C4⋊Dic11C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic
60#10622834C2211yescharacteristic
61#10622834C2211yescharacteristic
62#10622834C2211yescharacteristic
63#10622834C2211yescharacteristic
64#10622834C2211yescharacteristic
65#10622834C2211yescharacteristic
66#10622834C2211yescharacteristic
67#10622834C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
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#10622825C2211yescharacteristic
93#10622825C2211yescharacteristic
94#10622825C2211yescharacteristic
95#10622825C2211yescharacteristic
96#10622825C2211yescharacteristic
97#10622824C2211yescharacteristic
98#10622824C2211yescharacteristic
99#10622824C2211yescharacteristic
100C4×C22⋊Dic11C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104C4×C22⋊Dic11C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106C2×C11⋊#95C2211yescharacteristic
107C2×C11⋊#95C2211yescharacteristic
108#10622598C2211yescharacteristic
109#10622598C2211yescharacteristic
110#10622598C2211yescharacteristic
111#10622598C2211yescharacteristic
112#10622598C2211yescharacteristic
113#10622598C2211yescharacteristic
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
132#10622594C2211yescharacteristic
133#10622594C2211yescharacteristic
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#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#10622549C2211yescharacteristic
184C4×C4⋊Dic11C2211yescharacteristic
185#10622545C2211yescharacteristic
186#10622545C2211yescharacteristic
187#10622545C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C11×#127C2×C418yescomplemented
214C11×#125C2×C418yescomplemented
215C11×#123C2×C418yescomplemented
216C11×#123C2×C418yescomplemented
217C11×#123C2×C418yescomplemented
218C11×#123C2×C418yescomplemented
219C11×#121C2×C418yescomplemented
220C11×#121C2×C418yescomplemented
221C11×#121C2×C418yescomplemented
222C11×#121C2×C418yescomplemented
223C11×#121C2×C418yescomplemented
224C11×#121C2×C418yescomplemented
225C4×D4×C11C2×C418yescomplemented
226C4×D4×C11C2×C418yescomplemented
227C11×#117C2×C418yescomplemented
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×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
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
278D4×Dic11—42no—
279D4×Dic11—42no—
280D4×Dic11—42no—
281D4×Dic11—42no—
282D4×Dic11—42no—
283D4×Dic11—42no—
284D4×Dic11—42no—
285D4×Dic11—42no—
286#66979—42no—
287#66979—42no—
288C2×C4⋊Dic11—42no—
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×Dic11—42no—
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
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
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#34450—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C2×D4×C11C22×C414yes—
399C2×D4×C11C22×C414yes—
400C2×D4×C11C22×C414yes—
401C2×D4×C11C22×C414yes—
402C2×D4×C11C22×C414yes—
403C2×D4×C11C22×C414yes—
404C2×D4×C11C22×C414yes—
405C2×D4×C11C22×C414yes—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11C22×C414yes—
417C22×C4×C11C22×C414yes—
418C22×C4×C11C22×C414yes—
419C22×C4×C11C22×C414yes—
420C22×C4×C11C22×C414yes—
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C11×C4⋊C4C22×C414yes—
478C11×C4⋊C4C22×C414yes—
479C11×C4⋊C4C22×C414yes—
480C11×C4⋊C4C22×C414yes—
481C11×C4⋊C4C22×C414yes—
482C11×C4⋊C4C22×C414yes—
483C11×C4⋊C4C22×C414yes—
484C11×C4⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C11×C22⋊C4C22×C414yes—
487C11×C22⋊C4C22×C414yes—
488C11×C22⋊C4C22×C414yes—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C22×C414yes—
491C11×C22⋊C4C22×C414yes—
492C11×C22⋊C4C22×C414yes—
493C11×C22⋊C4C22×C414yes—
494C11×C22⋊C4C22×C414yes—
495C42×C11C22×C414yes—
496C42×C11C22×C414yes—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—22no—
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—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C2×#540D1111yescharacteristic
564#2382—111no—
565#2377—111no—
566#2377—111no—
567#2376—111no—
568#2374—111no—
569#2371—111no—
570#2364—111no—
571#2364—111no—
572#2363—111no—
573#2361—111no—
574#2359—111no—
575#2359—111no—
576#2353—111no—
577#2352—111no—
578#2346—111no—
579#2343—111no—
580#2335—111no—
581#2335—111no—
582#2333—111no—
583#2333—111no—
584#2328—111no—
585#2328—111no—
586#2325—111no—
587#2325—111no—
588#2324—111no—
589#2322—111no—
590#2318—111no—
591C4×#123—111no—
592C4×#121—111no—
593#2290—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11C23×C412yes—
625C23×C11C23×C412yes—
626C23×C11C23×C412yes—
627C23×C11C23×C412yes—
628C23×C11C23×C412yes—
629C23×C11C2511yescharacteristic
630D4×C11—44no—
631D4×C11—44no—
632D4×C11—44no—
633D4×C11—44no—
634D4×C11—44no—
635D4×C11—44no—
636D4×C11—44no—
637D4×C11—44no—
638D4×C11—44no—
639D4×C11—44no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11—44no—
663C2×C4×C11—44no—
664C2×C4×C11—44no—
665C2×C4×C11C23×C412yes—
666C2×C4×C11C23×C412yes—
667C2×C4×C11C23×C412yes—
668C2×C4×C11C23×C412yes—
669C2×C4×C11C23×C412yes—
670C2×C4×C11C23×C412yes—
671C2×C4×C11C23×C412yes—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C23×C412yes—
674C2×C4×C11C23×C412yes—
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—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11—82no—
724C2×Dic11—82no—
725C2×Dic11—82no—
726C2×Dic11—82no—
727C2×Dic11—82no—
728C2×Dic11—82no—
729C2×Dic11—82no—
730C2×Dic11—82no—
731C2×Dic11H(5,𝔽2)12yes—
732C2×Dic11H(5,𝔽2)12yes—
733#540Dic11116yescomplemented
734C2×#127C2×D1111yescharacteristic
735C2×#125C2×D1111yescharacteristic
736C2×#123C2×D1111yescharacteristic
737C2×#123C2×D1111yescharacteristic
738C2×#123C2×D1111yescharacteristic
739C2×#123C2×D1111yescharacteristic
740C2×#121C2×D1111yescharacteristic
741C2×#121C2×D1111yescharacteristic
742C2×#121C2×D1111yescharacteristic
743C2×#121C2×D1111yescharacteristic
744C2×#121C2×D1111yescharacteristic
745C2×#121C2×D1111yescharacteristic
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4C2×D1111yescharacteristic
755C2×C4×D4C2×D1111yescharacteristic
756C2×#117—111no—
757C2×#117—111no—
758C2×#117C2×D1111yescharacteristic
759C22×C4⋊C4—111no—
760C22×C42—111no—
761#390—111no—
762#390—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#383—111no—
850#382—111no—
851#382—111no—
852#382—111no—
853#381—111no—
854#381—111no—
855#381—111no—
856#380—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861C4×C4⋊C4—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883#376—111no—
884#376—111no—
885#376—111no—
886C2×#95—111no—
887C2×#95—111no—
888C2×#95—111no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11C24×C411yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11#58511yescharacteristic
928C22×C11#58511yescharacteristic
929C22×C11#58511yescharacteristic
930C22×C11#58511yescharacteristic
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—22no—
941Dic11—22no—
942Dic11—22no—
943Dic11—41no—
944Dic11—41no—
945Dic11—41no—
946Dic11—41no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957C22×D4C22×D1111yescharacteristic
958C22×D4C22×D1111yescharacteristic
959C22×D4C22×D1111yescharacteristic
960C22×D4C22×D1111yescharacteristic
961C22×D4C22×D1111yescharacteristic
962C22×D4C22×D1111yescharacteristic
963C22×D4C22×D1111yescharacteristic
964C22×D4C22×D1111yescharacteristic
965C22×D4C22×D1111yescharacteristic
966C22×D4C22×D1111yescharacteristic
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4C22×D1111yescharacteristic
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981C23×C4C22×D1111yescharacteristic
982#127C2×Dic1118yescomplemented
983#125C2×Dic1118yescomplemented
984#123C2×Dic1118yescomplemented
985#123C2×Dic1118yescomplemented
986#123C2×Dic1118yescomplemented
987#123C2×Dic1118yescomplemented
988#121C2×Dic1118yescomplemented
989#121C2×Dic1118yescomplemented
990#121C2×Dic1118yescomplemented
991#121C2×Dic1118yescomplemented
992#121C2×Dic1118yescomplemented
993#121C2×Dic1118yescomplemented
994C4×D4—442no—
995C4×D4—442no—
996C4×D4—442no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4C2×Dic1118yescomplemented
1003C4×D4C2×Dic1118yescomplemented
1004#117—442no—
1005#117—442no—
1006#117C2×Dic1118yescomplemented
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—442no—
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—442no—
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139C2×C11—42no—
1140C2×C11—42no—
1141C2×C11—42no—
1142C2×C11—42no—
1143C2×C11—42no—
1144C2×C11#342811yescharacteristic
1145C2×C11C4×H(5,𝔽2)11yescharacteristic
1146C2×C11C4×H(5,𝔽2)11yescharacteristic
1147C2×C11#353311yescharacteristic
1148C2×C11#354211yescharacteristic
1149C2×C11#355111yescharacteristic
1150C2×C11#356711yescharacteristic
1151C24C23×D1111yescharacteristic
1152C24C23×D1111yescharacteristic
1153C24C23×D1111yescharacteristic
1154C24C23×D1111yescharacteristic
1155C24C23×D1111yescharacteristic
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4C22×Dic1114yes—
1177C2×D4C22×Dic1114yes—
1178C2×D4C22×Dic1114yes—
1179C2×D4C22×Dic1114yes—
1180C2×D4C22×Dic1114yes—
1181C2×D4C22×Dic1114yes—
1182C2×D4C22×Dic1114yes—
1183C2×D4C22×Dic1114yes—
1184C2×D4C22×Dic1114yes—
1185C2×D4C22×Dic1114yes—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
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×C4—441no—
1242C22×C4C22×Dic1114yes—
1243C22×C4C22×Dic1114yes—
1244C22×C4C22×Dic1114yes—
1245C22×C4C22×Dic1114yes—
1246C22×C4C22×Dic1114yes—
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4C22×Dic1114yes—
1276C4⋊C4C22×Dic1114yes—
1277C4⋊C4C22×Dic1114yes—
1278C4⋊C4C22×Dic1114yes—
1279C4⋊C4C22×Dic1114yes—
1280C4⋊C4C22×Dic1114yes—
1281C4⋊C4C22×Dic1114yes—
1282C4⋊C4C22×Dic1114yes—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4C22×Dic1114yes—
1314C22⋊C4C22×Dic1114yes—
1315C22⋊C4C22×Dic1114yes—
1316C22⋊C4C22×Dic1114yes—
1317C22⋊C4C22×Dic1114yes—
1318C22⋊C4C22×Dic1114yes—
1319C22⋊C4C22×Dic1114yes—
1320C22⋊C4C22×Dic1114yes—
1321C22⋊C4C22×Dic1114yes—
1322C22⋊C4C22×Dic1114yes—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—441no—
1329C42—441no—
1330C42—441no—
1331C42—441no—
1332C42—441no—
1333C42—441no—
1334C42—441no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42C22×Dic1114yes—
1342C42C22×Dic1114yes—
1343C11#3445011yescharacteristic, complemented, Sylow
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C23×Dic1112yes—
1375C23C23×Dic1112yes—
1376C23C23×Dic1112yes—
1377C23C23×Dic1112yes—
1378C23C23×Dic1112yes—
1379C23C24×D1111yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—112no—
1416C2×C4—112no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—444no—
1464C2×C4—444no—
1465C2×C4—882no—
1466C2×C4—882no—
1467C2×C4—882no—
1468C2×C4—882no—
1469C2×C4—882no—
1470C2×C4—882no—
1471C2×C4—882no—
1472C2×C4—882no—
1473C2×C4C23×Dic1112yes—
1474C2×C4C23×Dic1112yes—
1475C2×C4C23×Dic1112yes—
1476C2×C4C23×Dic1112yes—
1477C2×C4C23×Dic1112yes—
1478C2×C4C23×Dic1112yes—
1479C2×C4C23×Dic1112yes—
1480C2×C4C23×Dic1112yes—
1481C2×C4C23×Dic1112yes—
1482C2×C4C23×Dic1112yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22#1062345311yescharacteristic
1519C22#1062345311yescharacteristic
1520C22D11×H(5,𝔽2)11yescharacteristic
1521C22D11×H(5,𝔽2)11yescharacteristic
1522C22#1062345511yescharacteristic
1523C22#1062345511yescharacteristic
1524C22C24×Dic1111yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—222no—
1536C4—222no—
1537C4—441no—
1538C4—441no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C4—441no—
1550C4—441no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2#1308181911yescharacteristic
1557C2H(5,𝔽2)×Dic1111yescharacteristic
1558C2H(5,𝔽2)×Dic1111yescharacteristic
1559C2#1308277611yescharacteristic
1560C2#1308292311yescharacteristic
1561C2#1308303711yescharacteristic
1562C2#1308330111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#540C2
socle, cosocleC23×C11C25
hypercenterC2×#540D11
hypocenterC11#34450
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #13071802C2semidirect
2. #13071773C2semidirect
3. #13071773C2semidirect
4. #13071764C2semidirect
5. #13071752C2semidirect
6. #13071722C2semidirect
7. #13071668C2semidirect
8. #13071668C2semidirect
9. #13071658C2semidirect
10. #13071636C2semidirect
11. #13071612C2semidirect
12. #13071612C2semidirect
13. #13071556C2semidirect
14. #13071545C2semidirect
15. #13071501C2semidirect
16. #13071476C2semidirect
17. #13071410C2semidirect
18. #13071410C2semidirect
19. #13071383C2semidirect
20. #13071383C2semidirect
21. #13071342C2semidirect
22. #13071342C2semidirect
23. #13071321C2semidirect
24. #13071321C2semidirect
25. #13071311C2semidirect
26. #13071288C2semidirect
27. #13071249C2semidirect
28. #123×Dic11C2semidirect
29. #121×Dic11C2semidirect
30. #13071061C2semidirect
32. C11×#540C4semidirect
213. C11×#127C2×C4semidirect
214. C11×#125C2×C4semidirect
215. C11×#123C2×C4semidirect
216. C11×#123C2×C4semidirect
217. C11×#123C2×C4semidirect
218. C11×#123C2×C4semidirect
219. C11×#121C2×C4semidirect
220. C11×#121C2×C4semidirect
221. C11×#121C2×C4semidirect
222. C11×#121C2×C4semidirect
223. C11×#121C2×C4semidirect
224. C11×#121C2×C4semidirect
225. C4×D4×C11C2×C4semidirect
226. C4×D4×C11C2×C4semidirect
227. C11×#117C2×C4semidirect
733. #540Dic11semidirect
982. #127C2×Dic11semidirect
983. #125C2×Dic11semidirect
984. #123C2×Dic11semidirect
985. #123C2×Dic11semidirect
986. #123C2×Dic11semidirect
987. #123C2×Dic11semidirect
988. #121C2×Dic11semidirect
989. #121C2×Dic11semidirect
990. #121C2×Dic11semidirect
991. #121C2×Dic11semidirect
992. #121C2×Dic11semidirect
993. #121C2×Dic11semidirect
1002. C4×D4C2×Dic11semidirect
1003. C4×D4C2×Dic11semidirect
1006. #117C2×Dic11semidirect
1343. C11#34450semidirect

Maximal subgroups

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

subgroupindex
#130718022
#130717732
#130717642
#130717522
#130717222
#130716682
#130716582
#130716362
#130716122
#130715562
#130715452
#130715012
#130714762
#130714102
#130713832
#130713422
#130713212
#130713112
#130712882
#130712492
#123×Dic112
#121×Dic112
#130710612
C2×C11×#5402
#3445011