Finite Group Databasebeta

← #14961998

Subgroups — #14961998

Order 2816.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076967C211yesmaximal, characteristic, complemented
2#13076951C211yesmaximal, characteristic, complemented
3#13076501C211yesmaximal, characteristic, complemented
4#13076483C211yesmaximal, characteristic, complemented
5#13076431C211yesmaximal, characteristic, complemented
6#13076395C211yesmaximal, characteristic, complemented
7#13076350C211yesmaximal, characteristic, complemented
8#13076286C211yesmaximal, characteristic
9#13076256C211yesmaximal, characteristic
10#13076116C211yesmaximal, characteristic, complemented
11#13075979C211yesmaximal, characteristic, complemented
12#13075930C211yesmaximal, characteristic, complemented
13#13075821C211yesmaximal, characteristic, complemented
14#13075725C211yesmaximal, characteristic
15#13075447C211yesmaximal, characteristic, complemented
16#13075395C211yesmaximal, characteristic, complemented
17#13075242C211yesmaximal, characteristic
18#13075084C211yesmaximal, characteristic, complemented
19#13074540C211yesmaximal, characteristic
20#13074540C211yesmaximal, characteristic
21#13074079C211yesmaximal, characteristic, complemented
22#13074069C211yesmaximal, characteristic, complemented
23#13074051C211yesmaximal, characteristic, complemented
24#13074037C211yesmaximal, characteristic, complemented
25#13073412C211yesmaximal, characteristic, complemented
26#13072839C211yesmaximal, characteristic, complemented
27#13072792C211yesmaximal, characteristic, complemented
28#13071370C211yesmaximal, characteristic, complemented
29#13071367C211yesmaximal, characteristic, complemented
30#13071060C211yesmaximal, characteristic
31C11×#2533C211yesmaximal, characteristic, complemented
32C2×#66951C2211yescharacteristic
33C2×#66949C2211yescharacteristic
34C2×#66949C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66942C2211yescharacteristic
37C2×#66941C2211yescharacteristic
38C2×C4×D44C2211yescharacteristic
39C2×#66925C2211yescharacteristic
40C2×C42×D11C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#389C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#387C2211yescharacteristic
48C11×#387C2211yescharacteristic
49C11×#387C2211yescharacteristic
50C11×#387C2211yescharacteristic
51C11×#387C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#383C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
55C11×#376C2211yescharacteristic
56#10622607C2211yescharacteristic
57#10622607C2211yescharacteristic
58#10622606C2211yescharacteristic
59#10622606C2211yescharacteristic
60#10622605C2211yescharacteristic
61#10622604C2211yescharacteristic
62#10622604C2211yescharacteristic
63#10622603C2211yescharacteristic
64#10622603C2211yescharacteristic
65#10622602C2211yescharacteristic
66#10622602C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622600C2211yescharacteristic
69#10622600C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622593C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622589C2211yescharacteristic
82C4⋊C4×Dic11C2211yescharacteristic
83#10622587C2211yescharacteristic
84#10622587C2211yescharacteristic
85#10622586C2211yescharacteristic
86#10622585C2211yescharacteristic
87#10622585C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622553C2211yescharacteristic
91#10622553C2211yescharacteristic
92#10622553C2211yescharacteristic
93#10622553C2211yescharacteristic
94C4×(C2×D11)⋊C4C2211yescharacteristic
95C4×(C2×D11)⋊C4C2211yescharacteristic
96C4×C4⋊Dic11C2211yescharacteristic
97#10622546C2211yescharacteristic
98#10622546C2211yescharacteristic
99#10622546C2211yescharacteristic
100#10622546C2211yescharacteristic
101#10622546C2211yescharacteristic
102#10622546C2211yescharacteristic
103C4×Dic11⋊C4C2211yescharacteristic
104#10622542C2211yescharacteristic
105#10622541C2211yescharacteristic
106#10622541C2211yescharacteristic
107#10622289C2211yescharacteristic
108#10622288C2211yescharacteristic
109#10622288C2211yescharacteristic
110#10622288C2211yescharacteristic
111#10622288C2211yescharacteristic
112#10622288C2211yescharacteristic
113#10622287C2211yescharacteristic
114#10622287C2211yescharacteristic
115#10622286C2211yescharacteristic
116#10622286C2211yescharacteristic
117#10622286C2211yescharacteristic
118#10622285C2211yescharacteristic
119#10622285C2211yescharacteristic
120#10622283C2211yescharacteristic
121#10622283C2211yescharacteristic
122#10622283C2211yescharacteristic
123#10622283C2211yescharacteristic
124#10622283C2211yescharacteristic
125#10622283C2211yescharacteristic
126#10622282C2211yescharacteristic
127#10622282C2211yescharacteristic
128#10622282C2211yescharacteristic
129#10622282C2211yescharacteristic
130#10622282C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622280C2211yescharacteristic
137#10622280C2211yescharacteristic
138#10622280C2211yescharacteristic
139#10622278C2211yescharacteristic
140#10622278C2211yescharacteristic
141#10622277C2211yescharacteristic
142#10622277C2211yescharacteristic
143C11⋊#401C2211yescharacteristic
144#10622274C2211yescharacteristic
145#10622274C2211yescharacteristic
146#10622273C2211yescharacteristic
147#10622272C2211yescharacteristic
148#10622272C2211yescharacteristic
149#10622271C2211yescharacteristic
150#10622271C2211yescharacteristic
151#10622271C2211yescharacteristic
152#10622271C2211yescharacteristic
153#10622271C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622269C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622269C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622263C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D44C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C22×Dic22C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
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
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
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
278#66951—42no—
279#66949—24no—
280#66949—24no—
281#66949—42no—
282#66942—42no—
283#66941—42no—
284C4×D44—24no—
285#66925—42no—
286C42×D11—42no—
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#36772—111nomaximal, Sylow
352C23×D11C2411yescharacteristic
353C23×D11C2411yescharacteristic
354C22×C4×C11C2411yescharacteristic
355C22×C4×C11C2411yescharacteristic
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×Dic11C2411yescharacteristic
370C22×Dic11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C2×D44—22no—
384C2×D44—41no—
385C2×D44—41no—
386C2×C4×D11—22no—
387C2×C4×D11—22no—
388C2×C4×D11—22no—
389C2×C4×D11—22no—
390C2×C4×D11—41no—
391C2×C4×D11—41no—
392C2×C4×D11—41no—
393C2×C4×D11—41no—
394C2×C4×D11—41no—
395C2×C4×D11—41no—
396C2×C4×D11—41no—
397C2×C4×D11#4114yes—
398C2×Dic22—22no—
399C2×Dic22—22no—
400C2×Dic22—22no—
401C2×Dic22—41no—
402C2×Dic22—41no—
403C2×Dic22—41no—
404C2×Dic22—41no—
405C2×Dic22—41no—
406C2×Dic22—41no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—22no—
409C11×C4⋊C4—22no—
410C11×C4⋊C4—22no—
411C11×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C4⋊C4—41no—
415C11×C4⋊C4—41no—
416C11×C4⋊C4—41no—
417C42×C11—22no—
418C42×C11—22no—
419C42×C11—41no—
420C42×C11—41no—
421C42×C11—41no—
422(C2×D11)⋊C4—22no—
423(C2×D11)⋊C4—22no—
424(C2×D11)⋊C4—22no—
425(C2×D11)⋊C4—22no—
426(C2×D11)⋊C4—22no—
427(C2×D11)⋊C4—22no—
428(C2×D11)⋊C4—22no—
429(C2×D11)⋊C4—22no—
430(C2×D11)⋊C4—22no—
431(C2×D11)⋊C4—41no—
432(C2×D11)⋊C4—41no—
433(C2×D11)⋊C4—41no—
434(C2×D11)⋊C4—41no—
435(C2×D11)⋊C4—41no—
436(C2×D11)⋊C4—41no—
437(C2×D11)⋊C4—41no—
438(C2×D11)⋊C4—41no—
439(C2×D11)⋊C4—41no—
440(C2×D11)⋊C4—41no—
441(C2×D11)⋊C4—41no—
442(C2×D11)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446C4⋊Dic11—22no—
447C4⋊Dic11—22no—
448C4⋊Dic11—22no—
449C4⋊Dic11—22no—
450C4⋊Dic11—22no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456Dic11⋊C4—22no—
457Dic11⋊C4—22no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474Dic11⋊C4—41no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480C4×Dic11—22no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
486C4×Dic11—41no—
487C4×Dic11—41no—
488C4×Dic11—41no—
489C4×Dic11—41no—
490#2857—111no—
491#2855—111no—
492#2799—111no—
493#2798—111no—
494#2793—111no—
495#2791—111no—
496#2787—111no—
497#2781—111no—
498#2779—111no—
499#2770—111no—
500#2759—111no—
501#2755—111no—
502#2747—111no—
503#2741—111no—
504#2716—111no—
505#2713—111no—
506#2702—111no—
507#2690—111no—
508#2638—111no—
509#2638—111no—
510#2590—111no—
511#2589—111no—
512#2588—111no—
513#2587—111no—
514#2533D1111yescharacteristic, complemented
515#2528—111no—
516#2478—111no—
517#2475—111no—
518#2332—111no—
519#2332—111no—
520#2290—111no—
521C23×C11C2511yescharacteristic
522C22×D11—21no—
523C22×D11—21no—
524C22×D11—21no—
525C22×D11—21no—
526C22×D11—21no—
527C22×D11—21no—
528C22×D11—21no—
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11C2×#4112yes—
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×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11C2×#4112yes—
580C2×C4×C11H(5,𝔽2)12yes—
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×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11C2×#4112yes—
621C2×Dic112−1+412yes—
622C2×Dic112−1+412yes—
623D44—44no—
624C4×D11—44no—
625C4×D11—44no—
626C4×D11—44no—
627C4×D11—44no—
628Dic22—82no—
629Dic22—82no—
630Dic22—82no—
631C2×C4⋊Q8—111no—
632C2×#126—111no—
633C2×#125—111no—
634C2×C22⋊Q8—111no—
635C2×C22⋊Q8—111no—
636C2×C22⋊Q8—111no—
637C2×C4×D4—111no—
638C2×#117—111no—
639C22×C42—111no—
640#401—111no—
641#400—111no—
642#400—111no—
643#400—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400C2×D1111yescharacteristic
650#400C2×D1111yescharacteristic
651#400C2×D1111yescharacteristic
652#400C2×D1111yescharacteristic
653#399—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#398—111no—
664#398—111no—
665#398—111no—
666#397—111no—
667#397—111no—
668#397—111no—
669#397—111no—
670#397—111no—
671#397—111no—
672#397—111no—
673#397—111no—
674#397—111no—
675#396—111no—
676#396—111no—
677#396—111no—
678#395—111no—
679#395—111no—
680#395—111no—
681#394—111no—
682#394—111no—
683#394—111no—
684#394—111no—
685#393—111no—
686#393—111no—
687#393—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#391—111no—
696#391—111no—
697#391—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389C2×D1111yescharacteristic
707#389C2×D1111yescharacteristic
708#388—111no—
709#388—111no—
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387C2×D1111yescharacteristic
753#387C2×D1111yescharacteristic
754#387C2×D1111yescharacteristic
755#387C2×D1111yescharacteristic
756#387C2×D1111yescharacteristic
757#387C2×D1111yescharacteristic
758#386—111no—
759#386—111no—
760#385—111no—
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385—111no—
768#384—111no—
769#383C2×D1111yescharacteristic
770#382—111no—
771#381—111no—
772#381—111no—
773#380—111no—
774#380—111no—
775#380—111no—
776#380—111no—
777#380—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4C2×D1111yescharacteristic
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785#376C2×D1111yescharacteristic
786C22×C11C22×#4111yescharacteristic
787C22×C11C2×H(5,𝔽2)11yescharacteristic
788C22×C11C2×2−1+411yescharacteristic
789C22×C11C2×2−1+411yescharacteristic
790C22×C11#58511yescharacteristic
791C22×C11#58511yescharacteristic
792C22×C11#58511yescharacteristic
793C2×D11—22no—
794C2×D11—22no—
795C2×D11—22no—
796C2×D11—41no—
797C2×D11—41no—
798C2×D11—41no—
799C2×D11—41no—
800C2×D11—41no—
801C2×D11—41no—
802C2×D11—41no—
803C2×D11—41no—
804C2×D11—41no—
805C2×D11—41no—
806C2×D11—41no—
807C4×C11—22no—
808C4×C11—22no—
809C4×C11—41no—
810C4×C11—41no—
811C4×C11—41no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822Dic11—22no—
823Dic11—22no—
824Dic11—22no—
825Dic11—41no—
826Dic11—41no—
827Dic11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836C22×Q8—111no—
837C22×Q8—111no—
838C22×Q8—111no—
839C22×D4—111no—
840C23×C4—111no—
841C23×C4—111no—
842C23×C4—111no—
843C23×C4—111no—
844C4⋊Q8—442no—
845#126—442no—
846#125—442no—
847C22⋊Q8—224no—
848C22⋊Q8—224no—
849C22⋊Q8—442no—
850C4×D4—224no—
851#117—442no—
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⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C4⋊C4C22×D1111yescharacteristic
891C2×C4⋊C4C22×D1111yescharacteristic
892C2×C4⋊C4C22×D1111yescharacteristic
893C2×C4⋊C4C22×D1111yescharacteristic
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C4⋊C4C22×D1111yescharacteristic
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—111no—
920C2×C42—111no—
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—442no—
931C2×C42C22×D1111yescharacteristic
932C2×C42C22×D1111yescharacteristic
933C2×C42C22×D1111yescharacteristic
934C2×C42C22×D1111yescharacteristic
935C2×C42C22×D1111yescharacteristic
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#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95C22×D1111yescharacteristic
981#95C22×D1111yescharacteristic
982#95C22×D1111yescharacteristic
983#95C22×D1111yescharacteristic
984#95C22×D1111yescharacteristic
985#95C22×D1111yescharacteristic
986#95C22×D1111yescharacteristic
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000C2×C11#345511yescharacteristic
1001C2×C11#350511yescharacteristic
1002C2×C11#350911yescharacteristic
1003C2×C11#353511yescharacteristic
1004C2×C11#354111yescharacteristic
1005C2×C11#355711yescharacteristic
1006C2×C11#356511yescharacteristic
1007D11—42no—
1008D11—81no—
1009C24—111no—
1010C24—111no—
1011C2×Q8—222no—
1012C2×Q8—222no—
1013C2×Q8—222no—
1014C2×Q8—441no—
1015C2×Q8—441no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×Q8—441no—
1019C2×Q8—441no—
1020C2×D4—222no—
1021C2×D4—441no—
1022C2×D4—441no—
1023C22×C4—111no—
1024C22×C4—111no—
1025C22×C4—111no—
1026C22×C4—114no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—222no—
1039C22×C4—222no—
1040C22×C4—222no—
1041C22×C4—222no—
1042C22×C4—441no—
1043C22×C4—441no—
1044C22×C4—441no—
1045C22×C4—441no—
1046C22×C4—441no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4C23×D1111yescharacteristic
1050C22×C4C23×D1111yescharacteristic
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1111yescharacteristic
1053C22×C4C23×D1111yescharacteristic
1054C22×C4C23×D1111yescharacteristic
1055C22×C4C23×D1111yescharacteristic
1056C22×C4C23×D1111yescharacteristic
1057C22×C4C23×D1111yescharacteristic
1058C22×C4C23×D1111yescharacteristic
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C4⋊C4—22no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—22no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—222no—
1075C4⋊C4—222no—
1076C4⋊C4—222no—
1077C4⋊C4—222no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—222no—
1081C4⋊C4—222no—
1082C4⋊C4—222no—
1083C4⋊C4—222no—
1084C4⋊C4—222no—
1085C4⋊C4—222no—
1086C4⋊C4—222no—
1087C4⋊C4—441no—
1088C4⋊C4—441no—
1089C4⋊C4—441no—
1090C4⋊C4—441no—
1091C4⋊C4—441no—
1092C4⋊C4—441no—
1093C4⋊C4—441no—
1094C4⋊C4—441no—
1095C4⋊C4—441no—
1096C4⋊C4—441no—
1097C4⋊C4—441no—
1098C4⋊C4—441no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C4⋊C4—441no—
1103C4⋊C4—441no—
1104C4⋊C4—441no—
1105C4⋊C4—441no—
1106C4⋊C4—441no—
1107C4⋊C4—441no—
1108C22⋊C4—222no—
1109C22⋊C4—222no—
1110C22⋊C4—222no—
1111C22⋊C4—222no—
1112C22⋊C4—222no—
1113C22⋊C4—222no—
1114C22⋊C4—222no—
1115C22⋊C4—222no—
1116C22⋊C4—222no—
1117C22⋊C4—441no—
1118C22⋊C4—441no—
1119C22⋊C4—441no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4—441no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C42—22no—
1133C42—22no—
1134C42—41no—
1135C42—41no—
1136C42—41no—
1137C42—222no—
1138C42—441no—
1139C42—441no—
1140C42—441no—
1141C42—441no—
1142C42—441no—
1143C42—441no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C11#3677211yescharacteristic, complemented, Sylow
1148C23—112no—
1149C23—221no—
1150C23—221no—
1151C23—221no—
1152C23—221no—
1153C23—221no—
1154C23—221no—
1155C23—221no—
1156C23—221no—
1157C23—221no—
1158C23—221no—
1159C23—221no—
1160C23—221no—
1161C23—221no—
1162C23C24×D1111yescharacteristic
1163Q8—882no—
1164Q8—882no—
1165Q8—882no—
1166D4—444no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—112no—
1211C2×C4—112no—
1212C2×C4—112no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—221no—
1252C2×C4—444no—
1253C2×C4—444no—
1254C2×C4—444no—
1255C2×C4—444no—
1256C2×C4#41×D1112yes—
1257C2×C4#6704212yes—
1258C22—222no—
1259C22—222no—
1260C22—222no—
1261C22—441no—
1262C22—441no—
1263C22—441no—
1264C22—441no—
1265C22—441no—
1266C22—441no—
1267C22—441no—
1268C22—441no—
1269C22—441no—
1270C22—441no—
1271C22—441no—
1272C22C2×#41×D1111yescharacteristic
1273C22C2×#6704211yescharacteristic
1274C22#1062345311yescharacteristic
1275C22#1062345311yescharacteristic
1276C22#1062345311yescharacteristic
1277C22D11×2−1+411yescharacteristic
1278C22D11×2−1+411yescharacteristic
1279C4—22no—
1280C4—22no—
1281C4—41no—
1282C4—41no—
1283C4—41no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—222no—
1295C4—222no—
1296C4—222no—
1297C4—441no—
1298C4—441no—
1299C4—441no—
1300C4—441no—
1301C4—441no—
1302C4—441no—
1303C4—441no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4—441no—
1308C2—442no—
1309C2—881no—
1310C2#1308199911yescharacteristic
1311C2#1308245111yescharacteristic
1312C2#1308249811yescharacteristic
1313C2#1308282811yescharacteristic
1314C2#1308291211yescharacteristic
1315C2#1308311211yescharacteristic
1316C2#1308325411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2533C2
prime radicalC22×D44C23
hypercenter#2533D11
hypocenterC11#36772
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2533

Complements

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

NH ≅ G/Ntype
1. #13076967C2semidirect
2. #13076951C2semidirect
3. #13076501C2semidirect
4. #13076483C2semidirect
5. #13076431C2semidirect
6. #13076395C2semidirect
7. #13076350C2semidirect
10. #13076116C2semidirect
11. #13075979C2semidirect
12. #13075930C2semidirect
13. #13075821C2semidirect
15. #13075447C2semidirect
16. #13075395C2semidirect
18. #13075084C2semidirect
21. #13074079C2semidirect
22. #13074069C2semidirect
23. #13074051C2semidirect
24. #13074037C2semidirect
25. #13073412C2semidirect
26. #13072839C2semidirect
27. #13072792C2semidirect
28. #13071370C2semidirect
29. #13071367C2semidirect
31. C11×#2533C2semidirect
514. #2533D11semidirect
1147. C11#36772semidirect

Maximal subgroups

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

subgroupindex
#130769672
#130769512
#130765012
#130764832
#130764312
#130763952
#130763502
#130762862
#130762562
#130761162
#130759792
#130759302
#130758212
#130757252
#130754472
#130753952
#130752422
#130750842
#130745402
#130740792
#130740692
#130740512
#130740372
#130734122
#130728392
#130727922
#130713702
#130713672
#130710602
C11×#25332
#3677211