Finite Group Databasebeta

← #14968285

Subgroups — #14968285

Order 2816.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076945C211yesmaximal, characteristic, complemented
2#13076939C211yesmaximal, characteristic, complemented
3#13076593C211yesmaximal, characteristic, complemented
4#13076566C211yesmaximal, characteristic, complemented
5#13076552C211yesmaximal, characteristic, complemented
6#13076506C211yesmaximal, characteristic, complemented
7#13076471C211yesmaximal, characteristic, complemented
8#13076364C211yesmaximal, characteristic, complemented
9#13076349C211yesmaximal, characteristic, complemented
10#13076349C211yesmaximal, characteristic, complemented
11#13076334C211yesmaximal, characteristic, complemented
12#13076318C211yesmaximal, characteristic, complemented
13#13076278C211yesmaximal, characteristic, complemented
14#13076172C211yesmaximal, characteristic, complemented
15#13076126C211yesmaximal, characteristic, complemented
16#13075986C211yesmaximal, characteristic, complemented
17#13075860C211yesmaximal, characteristic, complemented
18#13075779C211yesmaximal, characteristic, complemented
19#13074572C211yesmaximal, characteristic, complemented
20#13074546C211yesmaximal, characteristic, complemented
21#13073182C211yesmaximal, characteristic, complemented
22#13072938C211yesmaximal, characteristic, complemented
23#13072364C211yesmaximal, characteristic, complemented
24#13072286C211yesmaximal, characteristic, complemented
25#13072228C211yesmaximal, characteristic
26#13072171C211yesmaximal, characteristic, complemented
27#13071951C211yesmaximal, characteristic, complemented
28#13071288C211yesmaximal, characteristic, complemented
29#13071204C211yesmaximal, characteristic, complemented
30C2×#10622594C211yesmaximal, characteristic, complemented
31C11×#2413C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic
36C22×C11×C4⋊C4C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×#66982C2211yescharacteristic
42C22×C4⋊Dic11C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#396C2211yescharacteristic
48C11×#396C2211yescharacteristic
49C11×#389C2211yescharacteristic
50C11×#389C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#385C2211yescharacteristic
55C11×#381C2211yescharacteristic
56#10622833C2211yescharacteristic
57#10622826C2211yescharacteristic
58#10622826C2211yescharacteristic
59#10622824C2211yescharacteristic
60C2×C11⋊#95C2211yescharacteristic
61C2×C11⋊#95C2211yescharacteristic
62C2×C11⋊#95C2211yescharacteristic
63C2×C11⋊#95C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622606C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622604C2211yescharacteristic
69#10622604C2211yescharacteristic
70#10622604C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622599C2211yescharacteristic
86#10622599C2211yescharacteristic
87#10622598C2211yescharacteristic
88#10622598C2211yescharacteristic
89#10622597C2211yescharacteristic
90#10622597C2211yescharacteristic
91#10622597C2211yescharacteristic
92#10622595C2211yescharacteristic
93#10622595C2211yescharacteristic
94#10622594C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622594C2211yescharacteristic
97#10622594C2211yescharacteristic
98#10622594C2211yescharacteristic
99#10622594C2211yescharacteristic
100#10622594C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622594C2211yescharacteristic
103#10622594C2211yescharacteristic
104#10622592C2211yescharacteristic
105#10622592C2211yescharacteristic
106#10622592C2211yescharacteristic
107#10622592C2211yescharacteristic
108#10622591C2211yescharacteristic
109#10622585C2211yescharacteristic
110#10622585C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic
114#10622573C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic
132#10622564C2211yescharacteristic
133#10622564C2211yescharacteristic
134#10622563C2211yescharacteristic
135#10622563C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622563C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622560C2211yescharacteristic
140#10622559C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622556C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147#10622552C2211yescharacteristic
148#10622552C2211yescharacteristic
149#10622546C2211yescharacteristic
150#10622546C2211yescharacteristic
151#10622542C2211yescharacteristic
152#10622542C2211yescharacteristic
153#10622542C2211yescharacteristic
154#10622541C2211yescharacteristic
155#10622288C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622287C2211yescharacteristic
160#10622287C2211yescharacteristic
161#10622286C2211yescharacteristic
162#10622286C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622283C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic
171C11⋊#401C2211yescharacteristic
172C11⋊#401C2211yescharacteristic
173#10622273C2211yescharacteristic
174#10622273C2211yescharacteristic
175#10622273C2211yescharacteristic
176#10622272C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622271C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622264C2211yescharacteristic
185#10622263C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×#4339—24no—
201C2×#4339—42no—
202C2×#4339—42no—
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#123—24no—
209C11×#123—42no—
210C11×#117—42no—
211C2×C11×C4⋊C4—24no—
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242#66992—42no—
243#66992—42no—
244D4×Dic11—42no—
245#66982—42no—
246#66982—42no—
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×C4⋊Dic11—42no—
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×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11—42no—
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300#66931—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
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
357#36997—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C22×C4×C11—22no—
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11#4114yes—
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428#4339—416no—
429C2×D44—22no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—22no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C42×C11—41no—
466C42×C11—41no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496C4⋊Dic11—22no—
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—41no—
506Dic11⋊C4—22no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525#2854—111no—
526#2853—111no—
527#2808—111no—
528#2805—111no—
529#2803—111no—
530#2800—111no—
531#2797—111no—
532#2788—111no—
533#2787—111no—
534#2787—111no—
535#2786—111no—
536#2784—111no—
537#2781—111no—
538#2774—111no—
539#2770—111no—
540#2759—111no—
541#2750—111no—
542#2745—111no—
543#2643—111no—
544#2639—111no—
545#2510—111no—
546#2488—111no—
547#2444—111no—
548#2438—111no—
549#2430—111no—
550#2425—111no—
551#2413D1111yescharacteristic, complemented
552#2406—111no—
553#2322—111no—
554#2311—111no—
555C2×#387—111no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11C2×#4112yes—
568C23×C11H(5,𝔽2)12yes—
569C23×C11H(5,𝔽2)12yes—
570C23×C11C2511yescharacteristic
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585D4×C11—44no—
586C2×C4×C11—28no—
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—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—44no—
625C2×C4×C11—44no—
626C2×C4×C11C2×#4112yes—
627C2×C4×C11C2×#4112yes—
628C22⋊D11—44no—
629C22⋊D11—44no—
630C22⋊D11—82no—
631C22⋊D11—82no—
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—44no—
674C2×Dic11—44no—
675C2×Dic11—82no—
676C2×Dic11—82no—
677C2×Dic11—82no—
678C2×Dic112−1+412yes—
679D44—44no—
680C4×D11—44no—
681C4×D11—44no—
682Dic22—44no—
683Dic22—82no—
684C22×#41—111no—
685C2×#123—111no—
686C2×#123—111no—
687C2×#123C2×D1111yescharacteristic
688C2×#123C2×D1111yescharacteristic
689C2×C22⋊Q8—111no—
690C2×#121—111no—
691C2×#121—111no—
692C2×C4×D4—111no—
693C2×#117C2×D1111yescharacteristic
694C22×C4⋊C4—111no—
695C22×C4⋊C4C2×D1111yescharacteristic
696C22×C42—111no—
697#401—111no—
698#401—111no—
699#400—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#398—111no—
710#398—111no—
711#398—111no—
712#398C2×D1111yescharacteristic
713#398C2×D1111yescharacteristic
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#396—111no—
726#396—111no—
727#396C2×D1111yescharacteristic
728#396C2×D1111yescharacteristic
729#395—111no—
730#395—111no—
731#395—111no—
732#395—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#393—111no—
741#393—111no—
742#393—111no—
743#393—111no—
744#392—111no—
745#391—111no—
746#391—111no—
747#391—111no—
748#391—111no—
749#390—111no—
750#390—111no—
751#390—111no—
752#390—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389C2×D1111yescharacteristic
760#389C2×D1111yescharacteristic
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388C2×D1111yescharacteristic
778#388C2×D1111yescharacteristic
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#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386C2×D1111yescharacteristic
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385C2×D1111yescharacteristic
823#383—111no—
824#382—111no—
825#381—111no—
826#381—111no—
827#381C2×D1111yescharacteristic
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834C4×C22⋊C4—111no—
835C2×#95—111no—
836C2×#95—111no—
837C2×#95—111no—
838C2×#95—111no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11#53814yes—
853C22×C11C22×#4111yescharacteristic
854C22×C11C2×H(5,𝔽2)11yescharacteristic
855C22×C11C2×H(5,𝔽2)11yescharacteristic
856C22×C11C2×2−1+411yescharacteristic
857C22×C11#58511yescharacteristic
858C22×C11#58511yescharacteristic
859C22×C11#58511yescharacteristic
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887Dic11—22no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901C2×#41—224no—
902C2×#41—442no—
903C2×#41—442no—
904C22×Q8—111no—
905C22×Q8—111no—
906C22×D4—111no—
907C22×D4—111no—
908C22×D4—111no—
909C22×D4—111no—
910C22×D4—111no—
911C22×D4C22×D1111yescharacteristic
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4C22×D1111yescharacteristic
920C23×C4C22×D1111yescharacteristic
921C23×C4C22×D1111yescharacteristic
922#123—24no—
923#123—42no—
924#123—442no—
925#123—442no—
926C22⋊Q8—442no—
927#121—442no—
928#121—442no—
929C4×D4—442no—
930#117—42no—
931C2×C4⋊C4—24no—
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⋊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—442no—
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×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4C22×D1111yescharacteristic
997C2×C22⋊C4C22×D1111yescharacteristic
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—442no—
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
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#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071C2×C11—24no—
1072C2×C11—81no—
1073C2×C11C2×#53811yescharacteristic
1074C2×C11#349311yescharacteristic
1075C2×C11#350711yescharacteristic
1076C2×C11#353311yescharacteristic
1077C2×C11#353511yescharacteristic
1078C2×C11#355911yescharacteristic
1079C2×C11#356011yescharacteristic
1080D11—81no—
1081D11—81no—
1082C24—111no—
1083C24—111no—
1084C24C23×D1111yescharacteristic
1085C24C23×D1111yescharacteristic
1086#41—4416no—
1087C2×Q8—222no—
1088C2×Q8—441no—
1089C2×Q8—441no—
1090C2×Q8—441no—
1091C2×Q8—441no—
1092C2×Q8—441no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—222no—
1097C2×D4—222no—
1098C2×D4—222no—
1099C2×D4—222no—
1100C2×D4—222no—
1101C2×D4—222no—
1102C2×D4—222no—
1103C2×D4—222no—
1104C2×D4—441no—
1105C2×D4—441no—
1106C2×D4—441no—
1107C2×D4—441no—
1108C2×D4—441no—
1109C2×D4—441no—
1110C2×D4—441no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4#434114yes—
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
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—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—441no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
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—
1240C42—41no—
1241C42—41no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C11#3699711yescharacteristic, complemented, Sylow
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23C2×#434112yes—
1276C23#6703712yes—
1277C23#6704212yes—
1278C23C24×D1111yescharacteristic
1279Q8—444no—
1280Q8—882no—
1281D4—44no—
1282D4—444no—
1283D4—444no—
1284D4—444no—
1285D4—882no—
1286D4—882no—
1287C2×C4—28no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
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—112no—
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—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—444no—
1370C2×C4—444no—
1371C2×C4—444no—
1372C2×C4—444no—
1373C2×C4—882no—
1374C2×C4—882no—
1375C2×C4—882no—
1376C2×C4C2×#434112yes—
1377C2×C4C2×#434112yes—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22—441no—
1396C22—441no—
1397C22—441no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22#1062314814yes—
1406C22C22×#434111yescharacteristic
1407C22C2×#6703711yescharacteristic
1408C22C2×#6704211yescharacteristic
1409C22#1062345311yescharacteristic
1410C22#1062345311yescharacteristic
1411C22D11×2−1+411yescharacteristic
1412C22#1062345711yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—222no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C2—24no—
1441C2—81no—
1442C2—881no—
1443C2—881no—
1444C2C2×#1062314811yescharacteristic
1445C2#1308233311yescharacteristic
1446C2#1308248011yescharacteristic
1447C2#1308278211yescharacteristic
1448C2#1308282811yescharacteristic
1449C2#1308314111yescharacteristic
1450C2#1308316411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2413C2
prime radical#13072228C2
hypercenter#2413D11
hypocenterC11#36997
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2413

Complements

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

NH ≅ G/Ntype
1. #13076945C2semidirect
2. #13076939C2semidirect
3. #13076593C2semidirect
4. #13076566C2semidirect
5. #13076552C2semidirect
6. #13076506C2semidirect
7. #13076471C2semidirect
8. #13076364C2semidirect
9. #13076349C2semidirect
10. #13076349C2semidirect
11. #13076334C2semidirect
12. #13076318C2semidirect
13. #13076278C2semidirect
14. #13076172C2semidirect
15. #13076126C2semidirect
16. #13075986C2semidirect
17. #13075860C2semidirect
18. #13075779C2semidirect
19. #13074572C2semidirect
20. #13074546C2semidirect
21. #13073182C2semidirect
22. #13072938C2semidirect
23. #13072364C2semidirect
24. #13072286C2semidirect
26. #13072171C2semidirect
27. #13071951C2semidirect
28. #13071288C2semidirect
29. #13071204C2semidirect
30. C2×#10622594C2semidirect
31. C11×#2413C2semidirect
551. #2413D11semidirect
1249. C11#36997semidirect

Maximal subgroups

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

subgroupindex
#130769452
#130769392
#130765932
#130765662
#130765522
#130765062
#130764712
#130763642
#130763492
#130763342
#130763182
#130762782
#130761722
#130761262
#130759862
#130758602
#130757792
#130745722
#130745462
#130731822
#130729382
#130723642
#130722862
#130722282
#130721712
#130719512
#130712882
#130712042
C2×#106225942
C11×#24132
#3699711