Finite Group Databasebeta

← #14920752

Subgroups — #14920752

Order 2816.

1536 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074799C211yesmaximal, characteristic, complemented
2#13074798C211yesmaximal, characteristic, complemented
3#13074777C211yesmaximal, characteristic
4#13074774C211yesmaximal, characteristic
5#13074711C211yesmaximal, characteristic, complemented
6#13074710C211yesmaximal, characteristic, complemented
7#13074709C211yesmaximal, characteristic, complemented
8#13074702C211yesmaximal, characteristic, complemented
9#13074697C211yesmaximal, characteristic
10#13074694C211yesmaximal, characteristic
11#13074636C211yesmaximal, characteristic
12#13074629C211yesmaximal, characteristic
13#13074523C211yesmaximal, characteristic
14#13074522C211yesmaximal, characteristic
15#13074491C211yesmaximal, characteristic, complemented
16#13071922C211yesmaximal, characteristic, complemented
17#13071922C211yesmaximal, characteristic, complemented
18#13071920C211yesmaximal, characteristic, complemented
19#13071915C211yesmaximal, characteristic
20#13071915C211yesmaximal, characteristic
21#13071906C211yesmaximal, characteristic, complemented
22#13071893C211yesmaximal, characteristic
23#13071887C211yesmaximal, characteristic
24#125×Dic11C211yesmaximal, characteristic, complemented
25#13071173C211yesmaximal, characteristic, complemented
26#13071166C211yesmaximal, characteristic
27#13071164C211yesmaximal, characteristic
28#13071108C211yesmaximal, characteristic
29#13071089C211yesmaximal, characteristic, complemented
30C4×Q8×Dic11C211yesmaximal, characteristic, complemented
31C11×#2634C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66945C2211yescharacteristic
38C2×#66942C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66929C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#395C2211yescharacteristic
48C11×#395C2211yescharacteristic
49C11×#387C2211yescharacteristic
50C11×#387C2211yescharacteristic
51C11×#387C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#383C2211yescharacteristic
54#10622844C2211yescharacteristic
55#10622842C2211yescharacteristic
56#10622607C2211yescharacteristic
57#10622607C2211yescharacteristic
58#10622607C2211yescharacteristic
59#10622607C2211yescharacteristic
60#10622607C2211yescharacteristic
61#10622607C2211yescharacteristic
62#10622606C2211yescharacteristic
63#10622606C2211yescharacteristic
64#10622605C2211yescharacteristic
65#10622603C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622599C2211yescharacteristic
68#10622599C2211yescharacteristic
69#10622598C2211yescharacteristic
70#10622598C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622596C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622593C2211yescharacteristic
87#10622593C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622549C2211yescharacteristic
107C4×C4⋊Dic11C2211yescharacteristic
108C4×C4⋊Dic11C2211yescharacteristic
109C4×C4⋊Dic11C2211yescharacteristic
110#10622546C2211yescharacteristic
111#10622546C2211yescharacteristic
112C42×Dic11C2211yescharacteristic
113C42×Dic11C2211yescharacteristic
114C42×Dic11C2211yescharacteristic
115#10622290C2211yescharacteristic
116#10622288C2211yescharacteristic
117#10622288C2211yescharacteristic
118#10622287C2211yescharacteristic
119#10622287C2211yescharacteristic
120#10622286C2211yescharacteristic
121#10622283C2211yescharacteristic
122#10622283C2211yescharacteristic
123#10622282C2211yescharacteristic
124#10622282C2211yescharacteristic
125#10622282C2211yescharacteristic
126#10622282C2211yescharacteristic
127#10622279C2211yescharacteristic
128#10622279C2211yescharacteristic
129#10622279C2211yescharacteristic
130#10622279C2211yescharacteristic
131#10622279C2211yescharacteristic
132#10622279C2211yescharacteristic
133C11⋊#401C2211yescharacteristic
134C11⋊#401C2211yescharacteristic
135#10622274C2211yescharacteristic
136#10622274C2211yescharacteristic
137#10622274C2211yescharacteristic
138#10622274C2211yescharacteristic
139#10622273C2211yescharacteristic
140#10622273C2211yescharacteristic
141#10622273C2211yescharacteristic
142#10622273C2211yescharacteristic
143#10622273C2211yescharacteristic
144#10622273C2211yescharacteristic
145#10622272C2211yescharacteristic
146#10622272C2211yescharacteristic
147#10622272C2211yescharacteristic
148#10622271C2211yescharacteristic
149#10622271C2211yescharacteristic
150#10622271C2211yescharacteristic
151#10622271C2211yescharacteristic
152#10622270C2211yescharacteristic
153#10622270C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622269C2211yescharacteristic
157#10622269C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622264C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×Dic22C2311yescharacteristic
190C11×#125—24no—
191C4×Q8×C11—24no—
192C2×C11×C4⋊C4C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208Q8×Dic11—24no—
209Q8×Dic11—24no—
210C2×(C2×D11)⋊C4C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×(C2×D11)⋊C4C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×C4⋊Dic11C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
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
282#66951—24no—
283#66945—24no—
284#66942—24no—
285#66940—24no—
286#66929—24no—
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
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
351#34604—111nomaximal, Sylow
352C23×D11C2411yescharacteristic
353C2×Q8×C11—22no—
354C2×Q8×C11—22no—
355C2×Q8×C11—22no—
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C2×C4×D11—22no—
387C2×C4×D11—22no—
388C2×C4×D11—22no—
389C2×Dic22—22no—
390C2×Dic22—41no—
391C2×Dic22—41no—
392C11×C4⋊C4—22no—
393C11×C4⋊C4—22no—
394C11×C4⋊C4—22no—
395C11×C4⋊C4—22no—
396C11×C4⋊C4—22no—
397C11×C4⋊C4—22no—
398C11×C4⋊C4—22no—
399C11×C4⋊C4—22no—
400C11×C4⋊C4—22no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4—22no—
405C42×C11—22no—
406C42×C11—22no—
407C42×C11#4114yes—
408(C2×D11)⋊C4—22no—
409(C2×D11)⋊C4—22no—
410(C2×D11)⋊C4—22no—
411(C2×D11)⋊C4—22no—
412(C2×D11)⋊C4—22no—
413(C2×D11)⋊C4—22no—
414(C2×D11)⋊C4—22no—
415(C2×D11)⋊C4—22no—
416(C2×D11)⋊C4—41no—
417(C2×D11)⋊C4—41no—
418(C2×D11)⋊C4—41no—
419(C2×D11)⋊C4—41no—
420(C2×D11)⋊C4—41no—
421(C2×D11)⋊C4—41no—
422C4⋊Dic11—22no—
423C4⋊Dic11—22no—
424C4⋊Dic11—22no—
425C4⋊Dic11—22no—
426C4⋊Dic11—22no—
427C4⋊Dic11—22no—
428C4⋊Dic11—22no—
429C4⋊Dic11—22no—
430C4⋊Dic11—22no—
431C4⋊Dic11—41no—
432C4⋊Dic11—41no—
433C4⋊Dic11—41no—
434C4⋊Dic11—41no—
435C4⋊Dic11—41no—
436C4⋊Dic11—41no—
437Dic11⋊C4—22no—
438Dic11⋊C4—22no—
439Dic11⋊C4—22no—
440Dic11⋊C4—22no—
441Dic11⋊C4—22no—
442Dic11⋊C4—22no—
443Dic11⋊C4—22no—
444Dic11⋊C4—22no—
445Dic11⋊C4—22no—
446Dic11⋊C4—22no—
447Dic11⋊C4—41no—
448Dic11⋊C4—41no—
449Dic11⋊C4—41no—
450Dic11⋊C4—41no—
451Dic11⋊C4—41no—
452Dic11⋊C4—41no—
453Dic11⋊C4—41no—
454Dic11⋊C4—41no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457C4×Dic11—22no—
458C4×Dic11—22no—
459C4×Dic11—22no—
460C4×Dic11—22no—
461C4×Dic11—22no—
462C4×Dic11—22no—
463C4×Dic11—22no—
464C4×Dic11—22no—
465C4×Dic11—22no—
466C4×Dic11—22no—
467C4×Dic11—22no—
468C4×Dic11—22no—
469C4×Dic11—22no—
470C4×Dic11—22no—
471C4×Dic11—22no—
472C4×Dic11—41no—
473C4×Dic11—41no—
474C4×Dic11—41no—
475C4×Dic11—41no—
476C4×Dic11—41no—
477C4×Dic11—41no—
478C4×Dic11#4114yes—
479C4×Dic11#4114yes—
480#2666—111no—
481#2666—111no—
482#2664—111no—
483#2664—111no—
484#2655—111no—
485#2655—111no—
486#2655—111no—
487#2655—111no—
488#2654—111no—
489#2654—111no—
490#2650—111no—
491#2650—111no—
492#2637—111no—
493#2637—111no—
494#2634—111no—
495#2634D1111yescharacteristic, complemented
496#2402—111no—
497#2402—111no—
498#2402—111no—
499#2401—111no—
500#2401—111no—
501#2399—111no—
502#2396—111no—
503#2396—111no—
504C4×#125—111no—
505C4×#125—111no—
506C4×#126—111no—
507C4×#126—111no—
508#2298—111no—
509#2295—111no—
510C42×Q8—111no—
511C23×C11C2511yescharacteristic
512C22×D11—21no—
513C22×D11—21no—
514C22×D11—21no—
515C22×D11—21no—
516C22×D11—21no—
517C22×D11—21no—
518C22×D11—21no—
519Q8×C11—28no—
520C2×C4×C11—21no—
521C2×C4×C11—21no—
522C2×C4×C11—21no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11C2×#4112yes—
561C2×C4×C11C2×#4112yes—
562C2×C4×C11C2×#4112yes—
563C2×C4×C11C2×#4112yes—
564C2×C4×C11C2×#4112yes—
565C2×Dic11—21no—
566C2×Dic11—21no—
567C2×Dic11—21no—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—21no—
576C2×Dic11—21no—
577C2×Dic11—21no—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11C2×#4112yes—
605C2×Dic11C2×#4112yes—
606C2×Dic11C2×#4112yes—
607C2×Dic11C2×#4112yes—
608C2×Dic112−1+412yes—
609C2×Dic112−1+412yes—
610C4×D11—44no—
611Dic22—44no—
612C2×#126—111no—
613C2×#126—111no—
614C2×#125—111no—
615C2×#125C2×D1111yescharacteristic
616C2×C4×Q8—111no—
617C2×C4×Q8—111no—
618C2×C4×Q8—111no—
619C2×C4×Q8C2×D1111yescharacteristic
620C2×#117—111no—
621#401—111no—
622#401—111no—
623#400—111no—
624#400—111no—
625#400—111no—
626#400—111no—
627#400—111no—
628#400—111no—
629#400—111no—
630#400—111no—
631#400—111no—
632#400—111no—
633#400—111no—
634#400—111no—
635#400—111no—
636#400—111no—
637#400—111no—
638#400—111no—
639#400C2×D1111yescharacteristic
640#400C2×D1111yescharacteristic
641#400C2×D1111yescharacteristic
642#400C2×D1111yescharacteristic
643#399—111no—
644#399—111no—
645#398—111no—
646#398—111no—
647#398—111no—
648#398—111no—
649#398—111no—
650#398—111no—
651#398—111no—
652#398—111no—
653#398—111no—
654#398—111no—
655#398—111no—
656#398—111no—
657#398—111no—
658#398—111no—
659#398—111no—
660#398—111no—
661#398—111no—
662#398—111no—
663#398C2×D1111yescharacteristic
664#398C2×D1111yescharacteristic
665#397—111no—
666#397—111no—
667#397—111no—
668#397—111no—
669#397—111no—
670#397—111no—
671#396—111no—
672#396—111no—
673#396—111no—
674#396—111no—
675#396—111no—
676#396—111no—
677#395—111no—
678#395—111no—
679#395—111no—
680#395—111no—
681#395C2×D1111yescharacteristic
682#395C2×D1111yescharacteristic
683#393—111no—
684#393—111no—
685#391—111no—
686#391—111no—
687#389—111no—
688#389—111no—
689#389—111no—
690#389—111no—
691#389—111no—
692#389—111no—
693#388—111no—
694#388—111no—
695#388—111no—
696#388—111no—
697#388—111no—
698#388—111no—
699#388—111no—
700#388—111no—
701#388—111no—
702#388—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387C2×D1111yescharacteristic
722#387C2×D1111yescharacteristic
723#387C2×D1111yescharacteristic
724#387C2×D1111yescharacteristic
725#383—111no—
726#383C2×D1111yescharacteristic
727#382—111no—
728#382—111no—
729C4×C4⋊C4—111no—
730C4×C4⋊C4—111no—
731C4×C4⋊C4—111no—
732C4×C4⋊C4—111no—
733C4×C4⋊C4—111no—
734C4×C4⋊C4—111no—
735C4×C4⋊C4—111no—
736C4×C4⋊C4—111no—
737C4×C4⋊C4—111no—
738C4×C4⋊C4—111no—
739C4×C4⋊C4—111no—
740C4×C4⋊C4—111no—
741C4×C4⋊C4—111no—
742C4×C4⋊C4—111no—
743C4×C4⋊C4—111no—
744C4×C4⋊C4—111no—
745C4×C4⋊C4—111no—
746C4×C4⋊C4—111no—
747C4×C4⋊C4—111no—
748C4×C4⋊C4—111no—
749C4×C4⋊C4—111no—
750C4×C4⋊C4—111no—
751C4×C4⋊C4—111no—
752C4×C4⋊C4—111no—
753C4×C4⋊C4—111no—
754C4×C4⋊C4—111no—
755C4×C22⋊C4—111no—
756C4×C22⋊C4—111no—
757C4×C22⋊C4—111no—
758C4×C22⋊C4—111no—
759C4×C22⋊C4—111no—
760C4×C22⋊C4—111no—
761#376—111no—
762#376—111no—
763#376—111no—
764C43—111no—
765C43—111no—
766C43—111no—
767C22×C11C22×#4111yescharacteristic
768C22×C11C22×#4111yescharacteristic
769C22×C11C22×#4111yescharacteristic
770C22×C11C2×2−1+411yescharacteristic
771C22×C11C2×2−1+411yescharacteristic
772C22×C11#58511yescharacteristic
773C22×C11#58511yescharacteristic
774C2×D11—41no—
775C2×D11—41no—
776C2×D11—41no—
777C2×D11—41no—
778C2×D11—41no—
779C2×D11—41no—
780C2×D11—41no—
781C4×C11—22no—
782C4×C11—22no—
783C4×C11—22no—
784C4×C11—22no—
785C4×C11—22no—
786C4×C11—41no—
787C4×C11—41no—
788C4×C11—41no—
789C4×C11—41no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11—41no—
796Dic11—22no—
797Dic11—22no—
798Dic11—22no—
799Dic11—41no—
800Dic11—41no—
801Dic11—41no—
802Dic11—41no—
803Dic11—41no—
804Dic11—41no—
805Dic11—41no—
806Dic11—41no—
807Dic11—41no—
808Dic11—41no—
809Dic11—41no—
810Dic11#54114yes—
811C22×Q8—111no—
812C22×Q8C22×D1111yescharacteristic
813C23×C4—111no—
814#126—224no—
815#126—224no—
816#125—24no—
817#125—224no—
818C4×Q8—24no—
819C4×Q8—224no—
820C4×Q8—224no—
821C4×Q8—224no—
822#117—224no—
823C2×C4⋊C4—111no—
824C2×C4⋊C4—111no—
825C2×C4⋊C4—111no—
826C2×C4⋊C4—111no—
827C2×C4⋊C4—111no—
828C2×C4⋊C4—111no—
829C2×C4⋊C4—111no—
830C2×C4⋊C4—111no—
831C2×C4⋊C4—111no—
832C2×C4⋊C4—111no—
833C2×C4⋊C4—111no—
834C2×C4⋊C4—111no—
835C2×C4⋊C4—111no—
836C2×C4⋊C4—111no—
837C2×C4⋊C4—111no—
838C2×C4⋊C4—111no—
839C2×C4⋊C4—111no—
840C2×C4⋊C4—111no—
841C2×C4⋊C4—111no—
842C2×C4⋊C4—111no—
843C2×C4⋊C4—111no—
844C2×C4⋊C4—111no—
845C2×C4⋊C4—111no—
846C2×C4⋊C4—111no—
847C2×C4⋊C4—111no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4C22×D1111yescharacteristic
859C2×C4⋊C4C22×D1111yescharacteristic
860C2×C4⋊C4C22×D1111yescharacteristic
861C2×C4⋊C4C22×D1111yescharacteristic
862C2×C4⋊C4C22×D1111yescharacteristic
863C2×C4⋊C4C22×D1111yescharacteristic
864C2×C4⋊C4C22×D1111yescharacteristic
865C2×C4⋊C4C22×D1111yescharacteristic
866C2×C4⋊C4C22×D1111yescharacteristic
867C2×C4⋊C4C22×D1111yescharacteristic
868C2×C4⋊C4C22×D1111yescharacteristic
869C2×C4⋊C4C22×D1111yescharacteristic
870C2×C4⋊C4C22×D1111yescharacteristic
871C2×C22⋊C4—111no—
872C2×C22⋊C4—111no—
873C2×C22⋊C4—111no—
874C2×C22⋊C4—111no—
875C2×C22⋊C4—111no—
876C2×C22⋊C4—111no—
877C2×C22⋊C4—111no—
878C2×C22⋊C4—111no—
879C2×C22⋊C4—111no—
880C2×C22⋊C4—111no—
881C2×C22⋊C4—111no—
882C2×C22⋊C4—111no—
883C2×C22⋊C4—111no—
884C2×C22⋊C4—111no—
885C2×C42—111no—
886C2×C42—111no—
887C2×C42—111no—
888C2×C42—111no—
889C2×C42—111no—
890C2×C42—111no—
891C2×C42—111no—
892C2×C42—111no—
893C2×C42—111no—
894C2×C42—111no—
895C2×C42—111no—
896C2×C42—111no—
897C2×C42—111no—
898C2×C42—111no—
899C2×C42—111no—
900C2×C42—111no—
901C2×C42—111no—
902C2×C42—111no—
903C2×C42—111no—
904C2×C42—111no—
905C2×C42—111no—
906C2×C42—111no—
907C2×C42—111no—
908C2×C42C22×D1111yescharacteristic
909C2×C42C22×D1111yescharacteristic
910C2×C42C22×D1111yescharacteristic
911#95—111no—
912#95—111no—
913#95—111no—
914#95—111no—
915#95—111no—
916#95—111no—
917#95—111no—
918#95—111no—
919#95—111no—
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—111no—
926#95—111no—
927#95—111no—
928#95—111no—
929#95—111no—
930#95—111no—
931#95—111no—
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95C22×D1111yescharacteristic
958#95C22×D1111yescharacteristic
959#95C22×D1111yescharacteristic
960#95C22×D1111yescharacteristic
961#95C22×D1111yescharacteristic
962#95C22×D1111yescharacteristic
963#95C22×D1111yescharacteristic
964#95C22×D1111yescharacteristic
965#95C22×D1111yescharacteristic
966#95C22×D1111yescharacteristic
967#95C22×D1111yescharacteristic
968#95C22×D1111yescharacteristic
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974#95C22×D1111yescharacteristic
975C2×C11#344411yescharacteristic
976C2×C11C2×#54111yescharacteristic
977C2×C11#345511yescharacteristic
978C2×C11#346111yescharacteristic
979C2×C11#346111yescharacteristic
980C2×C11#346111yescharacteristic
981C2×C11#346111yescharacteristic
982D11—81no—
983C24—111no—
984C2×Q8—22no—
985C2×Q8—22no—
986C2×Q8—22no—
987C2×Q8—222no—
988C2×Q8—441no—
989C2×Q8—441no—
990C22×C4—111no—
991C22×C4—111no—
992C22×C4—111no—
993C22×C4—111no—
994C22×C4—111no—
995C22×C4—111no—
996C22×C4—111no—
997C22×C4—111no—
998C22×C4—111no—
999C22×C4—111no—
1000C22×C4—111no—
1001C22×C4—111no—
1002C22×C4—111no—
1003C22×C4—111no—
1004C22×C4—111no—
1005C22×C4—222no—
1006C22×C4—222no—
1007C22×C4—222no—
1008C22×C4C23×D1111yescharacteristic
1009C22×C4C23×D1111yescharacteristic
1010C22×C4C23×D1111yescharacteristic
1011C22×C4C23×D1111yescharacteristic
1012C22×C4C23×D1111yescharacteristic
1013C22×C4C23×D1111yescharacteristic
1014C22×C4C23×D1111yescharacteristic
1015C22×C4C23×D1111yescharacteristic
1016C22×C4C23×D1111yescharacteristic
1017C22×C4C23×D1111yescharacteristic
1018C22×C4C23×D1111yescharacteristic
1019C22×C4C23×D1111yescharacteristic
1020C22×C4C23×D1111yescharacteristic
1021C22×C4C23×D1111yescharacteristic
1022C22×C4C23×D1111yescharacteristic
1023C4⋊C4—22no—
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
1028C4⋊C4—22no—
1029C4⋊C4—22no—
1030C4⋊C4—22no—
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—22no—
1036C4⋊C4—222no—
1037C4⋊C4—222no—
1038C4⋊C4—222no—
1039C4⋊C4—222no—
1040C4⋊C4—222no—
1041C4⋊C4—222no—
1042C4⋊C4—222no—
1043C4⋊C4—222no—
1044C4⋊C4—222no—
1045C4⋊C4—222no—
1046C4⋊C4—222no—
1047C4⋊C4—222no—
1048C4⋊C4—222no—
1049C4⋊C4—222no—
1050C4⋊C4—222no—
1051C4⋊C4—222no—
1052C4⋊C4—222no—
1053C4⋊C4—222no—
1054C4⋊C4—222no—
1055C4⋊C4—441no—
1056C4⋊C4—441no—
1057C4⋊C4—441no—
1058C4⋊C4—441no—
1059C4⋊C4—441no—
1060C4⋊C4—441no—
1061C4⋊C4—441no—
1062C4⋊C4—441no—
1063C4⋊C4—441no—
1064C4⋊C4—441no—
1065C4⋊C4—441no—
1066C4⋊C4—441no—
1067C4⋊C4—441no—
1068C4⋊C4—441no—
1069C4⋊C4—441no—
1070C4⋊C4—441no—
1071C22⋊C4—222no—
1072C22⋊C4—222no—
1073C22⋊C4—222no—
1074C22⋊C4—222no—
1075C22⋊C4—222no—
1076C22⋊C4—222no—
1077C22⋊C4—222no—
1078C22⋊C4—222no—
1079C22⋊C4—441no—
1080C22⋊C4—441no—
1081C22⋊C4—441no—
1082C22⋊C4—441no—
1083C22⋊C4—441no—
1084C22⋊C4—441no—
1085C42—22no—
1086C42—22no—
1087C42—114no—
1088C42—114no—
1089C42—222no—
1090C42—222no—
1091C42—222no—
1092C42—222no—
1093C42—222no—
1094C42—222no—
1095C42—222no—
1096C42—222no—
1097C42—222no—
1098C42—222no—
1099C42—222no—
1100C42—222no—
1101C42—222no—
1102C42—222no—
1103C42—222no—
1104C42—441no—
1105C42—441no—
1106C42—441no—
1107C42—441no—
1108C42—441no—
1109C42—441no—
1110C42#434114yes—
1111C11#3460411yescharacteristic, complemented, Sylow
1112C23—221no—
1113C23—221no—
1114C23—221no—
1115C23—221no—
1116C23—221no—
1117C23—221no—
1118C23—221no—
1119C23C24×D1111yescharacteristic
1120Q8—28no—
1121Q8—444no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—112no—
1163C2×C4—112no—
1164C2×C4—112no—
1165C2×C4—112no—
1166C2×C4—112no—
1167C2×C4—112no—
1168C2×C4—221no—
1169C2×C4—221no—
1170C2×C4—221no—
1171C2×C4—221no—
1172C2×C4—221no—
1173C2×C4—221no—
1174C2×C4—221no—
1175C2×C4—221no—
1176C2×C4—221no—
1177C2×C4—221no—
1178C2×C4—221no—
1179C2×C4—221no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—221no—
1183C2×C4—221no—
1184C2×C4—221no—
1185C2×C4—221no—
1186C2×C4—221no—
1187C2×C4—221no—
1188C2×C4—221no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—221no—
1192C2×C4—221no—
1193C2×C4—221no—
1194C2×C4—221no—
1195C2×C4—221no—
1196C2×C4—221no—
1197C2×C4—221no—
1198C2×C4—221no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—221no—
1205C2×C4—221no—
1206C2×C4—221no—
1207C2×C4—444no—
1208C2×C4C2×#434112yes—
1209C2×C4C2×#434112yes—
1210C2×C4C2×#434112yes—
1211C2×C4#41×D1112yes—
1212C2×C4#41×D1112yes—
1213C22—441no—
1214C22—441no—
1215C22—441no—
1216C22—441no—
1217C22—441no—
1218C22—441no—
1219C22—441no—
1220C22C22×#434111yescharacteristic
1221C22C2×#41×D1111yescharacteristic
1222C22C2×#41×D1111yescharacteristic
1223C22D11×2−1+411yescharacteristic
1224C22D11×2−1+411yescharacteristic
1225C22#1062345711yescharacteristic
1226C22#1062345711yescharacteristic
1227C4—22no—
1228C4—22no—
1229C4—22no—
1230C4—22no—
1231C4—22no—
1232C4—41no—
1233C4—41no—
1234C4—41no—
1235C4—41no—
1236C4—41no—
1237C4—41no—
1238C4—41no—
1239C4—41no—
1240C4—41no—
1241C4—41no—
1242C4—114no—
1243C4—222no—
1244C4—222no—
1245C4—222no—
1246C4—441no—
1247C4—441no—
1248C4—441no—
1249C4—441no—
1250C4—441no—
1251C4—441no—
1252C4—441no—
1253C4—441no—
1254C4—441no—
1255C4—441no—
1256C4—441no—
1257C2—881no—
1258C2#1308190811yescharacteristic
1259C2D11×#54111yescharacteristic
1260C2#1308200711yescharacteristic
1261C2#1308204011yescharacteristic
1262C2#1308204011yescharacteristic
1263C2#1308204811yescharacteristic
1264C2#1308204811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2634C2
prime radicalC23×D11C24
hypercenter#2634D11
hypocenterC11#34604
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2634

Complements

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

NH ≅ G/Ntype
1. #13074799C2semidirect
2. #13074798C2semidirect
5. #13074711C2semidirect
6. #13074710C2semidirect
7. #13074709C2semidirect
8. #13074702C2semidirect
15. #13074491C2semidirect
16. #13071922C2semidirect
17. #13071922C2semidirect
18. #13071920C2semidirect
21. #13071906C2semidirect
24. #125×Dic11C2semidirect
25. #13071173C2semidirect
29. #13071089C2semidirect
30. C4×Q8×Dic11C2semidirect
31. C11×#2634C2semidirect
495. #2634D11semidirect
1111. C11#34604semidirect

Maximal subgroups

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

subgroupindex
#130747992
#130747982
#130747772
#130747742
#130747112
#130747102
#130747092
#130747022
#130746972
#130746942
#130746362
#130746292
#130745232
#130745222
#130744912
#130719222
#130719202
#130719152
#130719062
#130718932
#130718872
#125×Dic112
#130711732
#130711662
#130711642
#130711082
#130710892
C4×Q8×Dic112
C11×#26342
#3460411