Finite Group Databasebeta

← #14967735

Subgroups — #14967735

Order 2816.

1398 conjugacy classes of subgroups.

The subgroup lattice has 1250 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076953C211yesmaximal, characteristic
2#13076953C211yesmaximal, characteristic
3#13076209C211yesmaximal, characteristic, complemented
4#13076205C211yesmaximal, characteristic, complemented
5#13076201C211yesmaximal, characteristic, complemented
6#13076197C211yesmaximal, characteristic, complemented
7#13076111C211yesmaximal, characteristic, complemented
8#13076108C211yesmaximal, characteristic, complemented
9#13076107C211yesmaximal, characteristic, complemented
10#13076104C211yesmaximal, characteristic, complemented
11#13076024C211yesmaximal, characteristic, complemented
12#13076022C211yesmaximal, characteristic, complemented
13#13076017C211yesmaximal, characteristic, complemented
14#13076015C211yesmaximal, characteristic, complemented
15#13075973C211yesmaximal, characteristic, complemented
16#13075969C211yesmaximal, characteristic, complemented
17#13075965C211yesmaximal, characteristic, complemented
18#13075961C211yesmaximal, characteristic, complemented
19#13074733C211yesmaximal, characteristic
20#13074588C211yesmaximal, characteristic
21#13073121C211yesmaximal, characteristic
22#13073119C211yesmaximal, characteristic
23#13073113C211yesmaximal, characteristic
24#13073111C211yesmaximal, characteristic
25#13073005C211yesmaximal, characteristic
26#13073001C211yesmaximal, characteristic
27#13072997C211yesmaximal, characteristic
28#13071347C211yesmaximal, characteristic
29#13071344C211yesmaximal, characteristic
30C2×#10622264C211yesmaximal, characteristic
31C11×#2493C211yesmaximal, characteristic
32C22×C4×Dic11C2211yescharacteristic
33C2×#66931C2211yescharacteristic
34C2×#66931C2211yescharacteristic
35C11×#401C2211yescharacteristic
36C11×#400C2211yescharacteristic
37C11×#400C2211yescharacteristic
38C11×#400C2211yescharacteristic
39C11×#387C2211yescharacteristic
40C11×#387C2211yescharacteristic
41C11×#387C2211yescharacteristic
42C11×#385C2211yescharacteristic
43C11×#385C2211yescharacteristic
44C11×#383C2211yescharacteristic
45C11×#381C2211yescharacteristic
46C11×#381C2211yescharacteristic
47C11×#380C2211yescharacteristic
48C4×C11×C22⋊C4C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50#10622825C2211yescharacteristic
51#10622824C2211yescharacteristic
52#10622824C2211yescharacteristic
53#10622823C2211yescharacteristic
54#10622823C2211yescharacteristic
55C4×C22⋊Dic11C2211yescharacteristic
56C2×C11⋊#95C2211yescharacteristic
57C2×C11⋊#95C2211yescharacteristic
58C2×C11⋊#95C2211yescharacteristic
59C2×C11⋊#95C2211yescharacteristic
60C2×C11⋊#95C2211yescharacteristic
61#10622599C2211yescharacteristic
62#10622599C2211yescharacteristic
63#10622598C2211yescharacteristic
64#10622597C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622597C2211yescharacteristic
68#10622596C2211yescharacteristic
69#10622596C2211yescharacteristic
70#10622595C2211yescharacteristic
71#10622595C2211yescharacteristic
72#10622595C2211yescharacteristic
73#10622594C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622593C2211yescharacteristic
76#10622592C2211yescharacteristic
77#10622592C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622590C2211yescharacteristic
81#10622587C2211yescharacteristic
82#10622586C2211yescharacteristic
83#10622585C2211yescharacteristic
84#10622585C2211yescharacteristic
85#10622563C2211yescharacteristic
86#10622563C2211yescharacteristic
87#10622563C2211yescharacteristic
88#10622563C2211yescharacteristic
89#10622559C2211yescharacteristic
90#10622559C2211yescharacteristic
91#10622559C2211yescharacteristic
92#10622559C2211yescharacteristic
93#10622555C2211yescharacteristic
94#10622555C2211yescharacteristic
95#10622555C2211yescharacteristic
96#10622555C2211yescharacteristic
97C22⋊C4×Dic11C2211yescharacteristic
98C22⋊C4×Dic11C2211yescharacteristic
99#10622549C2211yescharacteristic
100#10622546C2211yescharacteristic
101#10622546C2211yescharacteristic
102#10622546C2211yescharacteristic
103#10622546C2211yescharacteristic
104#10622542C2211yescharacteristic
105#10622541C2211yescharacteristic
106#10622541C2211yescharacteristic
107C11⋊#401C2211yescharacteristic
108C11⋊#401C2211yescharacteristic
109C11⋊#401C2211yescharacteristic
110#10622274C2211yescharacteristic
111#10622273C2211yescharacteristic
112#10622273C2211yescharacteristic
113#10622273C2211yescharacteristic
114#10622273C2211yescharacteristic
115#10622273C2211yescharacteristic
116#10622273C2211yescharacteristic
117#10622273C2211yescharacteristic
118#10622272C2211yescharacteristic
119#10622272C2211yescharacteristic
120#10622272C2211yescharacteristic
121#10622272C2211yescharacteristic
122#10622272C2211yescharacteristic
123#10622272C2211yescharacteristic
124#10622271C2211yescharacteristic
125#10622271C2211yescharacteristic
126#10622271C2211yescharacteristic
127#10622271C2211yescharacteristic
128#10622271C2211yescharacteristic
129#10622271C2211yescharacteristic
130#10622271C2211yescharacteristic
131#10622270C2211yescharacteristic
132#10622270C2211yescharacteristic
133#10622270C2211yescharacteristic
134#10622270C2211yescharacteristic
135#10622269C2211yescharacteristic
136#10622269C2211yescharacteristic
137#10622268C2211yescharacteristic
138#10622268C2211yescharacteristic
139#10622268C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622268C2211yescharacteristic
142#10622268C2211yescharacteristic
143#10622268C2211yescharacteristic
144#10622268C2211yescharacteristic
145#10622268C2211yescharacteristic
146#10622267C2211yescharacteristic
147#10622267C2211yescharacteristic
148#10622267C2211yescharacteristic
149#10622267C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622266C2211yescharacteristic
153#10622266C2211yescharacteristic
154#10622266C2211yescharacteristic
155#10622266C2211yescharacteristic
156#10622266C2211yescharacteristic
157#10622265C2211yescharacteristic
158#10622265C2211yescharacteristic
159#10622265C2211yescharacteristic
160#10622265C2211yescharacteristic
161#10622265C2211yescharacteristic
162#10622264C2211yescharacteristic
163#10622264C2211yescharacteristic
164#10622264C2211yescharacteristic
165#10622264C2211yescharacteristic
166#10622264C2211yescharacteristic
167#10622264C2211yescharacteristic
168#10622264C2211yescharacteristic
169#10622264C2211yescharacteristic
170#10622264C2211yescharacteristic
171#10622264C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C22⋊Dic11C2311yescharacteristic
209C2×C22⋊Dic11C2311yescharacteristic
210C2×C22⋊Dic11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C4⋊Dic11C2311yescharacteristic
213C2×C4⋊Dic11C2311yescharacteristic
214C2×C4⋊Dic11C2311yescharacteristic
215C2×C4⋊Dic11C2311yescharacteristic
216C2×C4⋊Dic11C2311yescharacteristic
217C2×C4⋊Dic11C2311yescharacteristic
218C2×C4⋊Dic11C2311yescharacteristic
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×Dic11⋊C4C2311yescharacteristic
225C2×Dic11⋊C4C2311yescharacteristic
226C2×Dic11⋊C4C2311yescharacteristic
227C2×Dic11⋊C4C2311yescharacteristic
228C2×Dic11⋊C4C2311yescharacteristic
229C2×Dic11⋊C4C2311yescharacteristic
230C2×Dic11⋊C4C2311yescharacteristic
231C2×Dic11⋊C4C2311yescharacteristic
232C2×Dic11⋊C4C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
249C2×C4×Dic11C2311yescharacteristic
250C2×C4×Dic11C2311yescharacteristic
251C2×C4×Dic11C2311yescharacteristic
252C2×C4×Dic11C2311yescharacteristic
253C2×C4×Dic11C2311yescharacteristic
254C2×C4×Dic11C2311yescharacteristic
255C2×C4×Dic11C2311yescharacteristic
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259#66931—24no—
260#66931—24no—
261C11×#95C2311yescharacteristic
262C11×#95C2311yescharacteristic
263C11×#95C2311yescharacteristic
264C11×#95C2311yescharacteristic
265C11×#95C2311yescharacteristic
266C11×#95C2311yescharacteristic
267C11×#95C2311yescharacteristic
268C11×#95C2311yescharacteristic
269C11×#95C2311yescharacteristic
270C11×#95C2311yescharacteristic
271C11×#95C2311yescharacteristic
272C11×#95C2311yescharacteristic
273C11×#95C2311yescharacteristic
274C11×#95C2311yescharacteristic
275C11×#95C2311yescharacteristic
276C11×#95C2311yescharacteristic
277C11×#95C2311yescharacteristic
278C11×#95C2311yescharacteristic
279C11×#95C2311yescharacteristic
280C11×#95C2311yescharacteristic
281C11⋊#95C2311yescharacteristic
282C11⋊#95C2311yescharacteristic
283C11⋊#95C2311yescharacteristic
284C11⋊#95C2311yescharacteristic
285C11⋊#95C2311yescharacteristic
286C11⋊#95C2311yescharacteristic
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
345#36979—111nomaximal, Sylow
346C24×C11C2411yescharacteristic
347C22×C4×C11—22no—
348C22×C4×C11—22no—
349C22×C4×C11—22no—
350C22×C4×C11—22no—
351C22×C4×C11—22no—
352C22×C4×C11—41no—
353C22×C4×C11—41no—
354C22×C4×C11—41no—
355C22×C4×C11—41no—
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×Dic11—22no—
371C22×Dic11—22no—
372C22×Dic11—22no—
373C22×Dic11—41no—
374C22×Dic11—41no—
375C22×Dic11—41no—
376C22×Dic11—41no—
377C22×Dic11—41no—
378C22×Dic11—41no—
379C22×Dic11—41no—
380C22×Dic11—41no—
381C22×Dic11#4114yes—
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C2×Dic22—22no—
399C2×Dic22—22no—
400C2×Dic22—41no—
401C2×Dic22—41no—
402C2×Dic22—41no—
403C2×Dic22—41no—
404C11×C4⋊C4—41no—
405C11×C4⋊C4—41no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C22⋊C4—22no—
411C11×C22⋊C4—22no—
412C11×C22⋊C4—22no—
413C11×C22⋊C4—22no—
414C42×C11—41no—
415C42×C11—41no—
416C22⋊Dic11—22no—
417C22⋊Dic11—22no—
418C22⋊Dic11—22no—
419C22⋊Dic11—22no—
420C4⋊Dic11—22no—
421C4⋊Dic11—22no—
422C4⋊Dic11—41no—
423C4⋊Dic11—41no—
424C4⋊Dic11—41no—
425C4⋊Dic11—41no—
426C4⋊Dic11—41no—
427C4⋊Dic11—41no—
428C4⋊Dic11—41no—
429C4⋊Dic11—41no—
430C4⋊Dic11—41no—
431C4⋊Dic11—41no—
432Dic11⋊C4—22no—
433Dic11⋊C4—22no—
434Dic11⋊C4—22no—
435Dic11⋊C4—22no—
436Dic11⋊C4—41no—
437Dic11⋊C4—41no—
438Dic11⋊C4—41no—
439Dic11⋊C4—41no—
440Dic11⋊C4—41no—
441Dic11⋊C4—41no—
442Dic11⋊C4—41no—
443Dic11⋊C4—41no—
444Dic11⋊C4—41no—
445Dic11⋊C4—41no—
446Dic11⋊C4—41no—
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—
456C4×Dic11—22no—
457C4×Dic11—22no—
458C4×Dic11—22no—
459C4×Dic11—22no—
460C4×Dic11—41no—
461C4×Dic11—41no—
462C4×Dic11—41no—
463C4×Dic11—41no—
464C4×Dic11—41no—
465C4×Dic11—41no—
466#2855—111no—
467#2855—111no—
468#2776—111no—
469#2776—111no—
470#2776—111no—
471#2776—111no—
472#2769—111no—
473#2769—111no—
474#2769—111no—
475#2769—111no—
476#2762—111no—
477#2762—111no—
478#2762—111no—
479#2762—111no—
480#2758—111no—
481#2758—111no—
482#2758—111no—
483#2758—111no—
484#2659—111no—
485#2646—111no—
486#2505—111no—
487#2505—111no—
488#2505—111no—
489#2505—111no—
490#2493—111no—
491#2493—111no—
492#2493—111no—
493#2493D1111yescharacteristic
494#2329—111no—
495#2329—111no—
496C2×#383—111no—
497C23×C11—21no—
498C23×C11—21no—
499C23×C11—21no—
500C23×C11—21no—
501C23×C11C2×#4112yes—
502C23×C112−1+412yes—
503C23×C112−1+412yes—
504C23×C11C2511yescharacteristic
505C2×C4×C11—21no—
506C2×C4×C11—21no—
507C2×C4×C11—21no—
508C2×C4×C11—21no—
509C2×C4×C11—21no—
510C2×C4×C11—21no—
511C2×C4×C11—21no—
512C2×C4×C11—21no—
513C2×C4×C11—21no—
514C2×C4×C11—21no—
515C2×C4×C11—21no—
516C2×C4×C11—21no—
517C2×C4×C11—21no—
518C2×C4×C11—21no—
519C2×C4×C11—21no—
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—44no—
548C2×C4×C11—82no—
549C2×C4×C11—82no—
550C2×Dic11—21no—
551C2×Dic11—21no—
552C2×Dic11—21no—
553C2×Dic11—21no—
554C2×Dic11—21no—
555C2×Dic11—21no—
556C2×Dic11—21no—
557C2×Dic11—21no—
558C2×Dic11—21no—
559C2×Dic11—21no—
560C2×Dic11—21no—
561C2×Dic11—21no—
562C2×Dic11—21no—
563C2×Dic11—21no—
564C2×Dic11—21no—
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—44no—
597C2×Dic11—44no—
598C2×Dic11—82no—
599C2×Dic11—82no—
600C2×Dic11C2×#4112yes—
601C2×Dic11C2×#4112yes—
602Dic22—82no—
603Dic22—82no—
604C2×C22⋊Q8—111no—
605C2×C22⋊Q8—111no—
606C22×C42—111no—
607#401—111no—
608#401—111no—
609#401—111no—
610#401C2×D1111yescharacteristic
611#400—111no—
612#400—111no—
613#400—111no—
614#400—111no—
615#400—111no—
616#400—111no—
617#400—111no—
618#400—111no—
619#400—111no—
620#400—111no—
621#400—111no—
622#400—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#400C2×D1111yescharacteristic
637#400C2×D1111yescharacteristic
638#400C2×D1111yescharacteristic
639#398—111no—
640#398—111no—
641#398—111no—
642#398—111no—
643#398—111no—
644#398—111no—
645#398—111no—
646#398—111no—
647#398—111no—
648#398—111no—
649#398—111no—
650#398—111no—
651#395—111no—
652#395—111no—
653#395—111no—
654#395—111no—
655#391—111no—
656#391—111no—
657#391—111no—
658#391—111no—
659#391—111no—
660#391—111no—
661#391—111no—
662#391—111no—
663#389—111no—
664#389—111no—
665#389—111no—
666#389—111no—
667#389—111no—
668#389—111no—
669#389—111no—
670#389—111no—
671#389—111no—
672#389—111no—
673#389—111no—
674#389—111no—
675#387—111no—
676#387—111no—
677#387—111no—
678#387—111no—
679#387—111no—
680#387—111no—
681#387—111no—
682#387—111no—
683#387—111no—
684#387—111no—
685#387—111no—
686#387—111no—
687#387—111no—
688#387—111no—
689#387—111no—
690#387—111no—
691#387—111no—
692#387—111no—
693#387—111no—
694#387—111no—
695#387—111no—
696#387—111no—
697#387—111no—
698#387—111no—
699#387—111no—
700#387—111no—
701#387—111no—
702#387—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387C2×D1111yescharacteristic
709#387C2×D1111yescharacteristic
710#387C2×D1111yescharacteristic
711#385—111no—
712#385—111no—
713#385—111no—
714#385—111no—
715#385—111no—
716#385—111no—
717#385—111no—
718#385—111no—
719#385—111no—
720#385—111no—
721#385C2×D1111yescharacteristic
722#385C2×D1111yescharacteristic
723#383—111no—
724#383—111no—
725#383—111no—
726#383—111no—
727#383—111no—
728#383—111no—
729#383—111no—
730#383—111no—
731#383—111no—
732#383—111no—
733#383—111no—
734#383C2×D1111yescharacteristic
735#382—111no—
736#382—111no—
737#382—111no—
738#382—111no—
739#381—111no—
740#381—111no—
741#381C2×D1111yescharacteristic
742#381C2×D1111yescharacteristic
743#380—111no—
744#380—111no—
745#380—111no—
746#380—111no—
747#380—111no—
748#380C2×D1111yescharacteristic
749C4×C22⋊C4—111no—
750C4×C22⋊C4—111no—
751C4×C22⋊C4—111no—
752C4×C22⋊C4C2×D1111yescharacteristic
753C2×#95—111no—
754C2×#95—111no—
755C2×#95—111no—
756C2×#95—111no—
757C2×#95—111no—
758C2×#95C2×D1111yescharacteristic
759C22×C11—22no—
760C22×C11—22no—
761C22×C11—22no—
762C22×C11—22no—
763C22×C11—22no—
764C22×C11—22no—
765C22×C11#54114yes—
766C22×C11C22×#4111yescharacteristic
767C22×C11C2×2−1+411yescharacteristic
768C22×C11C2×2−1+411yescharacteristic
769C22×C11#58511yescharacteristic
770C22×C11#58511yescharacteristic
771C22×C11#58511yescharacteristic
772C22×C11#58511yescharacteristic
773C4×C11—41no—
774C4×C11—41no—
775C4×C11—41no—
776C4×C11—41no—
777C4×C11—41no—
778C4×C11—41no—
779C4×C11—41no—
780C4×C11—41no—
781C4×C11—41no—
782C4×C11—41no—
783C4×C11—41no—
784C4×C11—41no—
785C4×C11—41no—
786C4×C11—41no—
787Dic11—22no—
788Dic11—22no—
789Dic11—41no—
790Dic11—41no—
791Dic11—41no—
792Dic11—41no—
793Dic11—41no—
794Dic11—41no—
795Dic11—41no—
796Dic11—41no—
797Dic11—41no—
798Dic11—41no—
799Dic11—41no—
800Dic11—41no—
801Dic11—41no—
802Dic11—41no—
803C22×Q8—111no—
804C22×Q8—111no—
805C23×C4—111no—
806C23×C4—111no—
807C23×C4—111no—
808C23×C4—111no—
809C23×C4C22×D1111yescharacteristic
810C23×C4C22×D1111yescharacteristic
811C23×C4C22×D1111yescharacteristic
812C22⋊Q8—224no—
813C22⋊Q8—224no—
814C2×C4⋊C4—111no—
815C2×C4⋊C4—111no—
816C2×C4⋊C4—111no—
817C2×C4⋊C4—111no—
818C2×C4⋊C4—111no—
819C2×C4⋊C4—111no—
820C2×C4⋊C4—111no—
821C2×C4⋊C4—111no—
822C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
851C2×C4⋊C4C22×D1111yescharacteristic
852C2×C4⋊C4C22×D1111yescharacteristic
853C2×C4⋊C4C22×D1111yescharacteristic
854C2×C4⋊C4C22×D1111yescharacteristic
855C2×C4⋊C4C22×D1111yescharacteristic
856C2×C22⋊C4—111no—
857C2×C22⋊C4—111no—
858C2×C22⋊C4—111no—
859C2×C22⋊C4—111no—
860C2×C22⋊C4C22×D1111yescharacteristic
861C2×C22⋊C4C22×D1111yescharacteristic
862C2×C22⋊C4C22×D1111yescharacteristic
863C2×C22⋊C4C22×D1111yescharacteristic
864C2×C42—111no—
865C2×C42—111no—
866C2×C42—111no—
867C2×C42—111no—
868C2×C42—111no—
869C2×C42—111no—
870C2×C42—111no—
871C2×C42—111no—
872C2×C42—111no—
873C2×C42—111no—
874C2×C42—224no—
875C2×C42C22×D1111yescharacteristic
876C2×C42C22×D1111yescharacteristic
877#95—111no—
878#95—111no—
879#95—111no—
880#95—111no—
881#95—111no—
882#95—111no—
883#95—111no—
884#95—111no—
885#95—111no—
886#95—111no—
887#95—111no—
888#95—111no—
889#95—111no—
890#95—111no—
891#95—111no—
892#95—111no—
893#95—111no—
894#95—111no—
895#95—111no—
896#95—111no—
897#95—111no—
898#95—111no—
899#95—111no—
900#95—111no—
901#95—111no—
902#95—111no—
903#95—111no—
904#95—111no—
905#95—111no—
906#95—111no—
907#95—111no—
908#95—111no—
909#95—111no—
910#95—111no—
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#95C22×D1111yescharacteristic
942#95C22×D1111yescharacteristic
943#95C22×D1111yescharacteristic
944#95C22×D1111yescharacteristic
945#95C22×D1111yescharacteristic
946#95C22×D1111yescharacteristic
947#95C22×D1111yescharacteristic
948#95C22×D1111yescharacteristic
949#95C22×D1111yescharacteristic
950#95C22×D1111yescharacteristic
951#95C22×D1111yescharacteristic
952#95C22×D1111yescharacteristic
953#95C22×D1111yescharacteristic
954#95C22×D1111yescharacteristic
955#95C22×D1111yescharacteristic
956#95C22×D1111yescharacteristic
957#95C22×D1111yescharacteristic
958#95C22×D1111yescharacteristic
959#95C22×D1111yescharacteristic
960#95C22×D1111yescharacteristic
961C2×C11—24no—
962C2×C11C2×#54111yescharacteristic
963C2×C11#349111yescharacteristic
964C2×C11#349311yescharacteristic
965C2×C11#356411yescharacteristic
966C2×C11#356411yescharacteristic
967C2×C11#356411yescharacteristic
968C2×C11#356411yescharacteristic
969C24C23×D1111yescharacteristic
970C2×Q8—222no—
971C2×Q8—222no—
972C2×Q8—441no—
973C2×Q8—441no—
974C2×Q8—441no—
975C2×Q8—441no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—111no—
986C22×C4—111no—
987C22×C4—114no—
988C22×C4—111no—
989C22×C4—111no—
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—222no—
1003C22×C4—222no—
1004C22×C4—222no—
1005C22×C4—441no—
1006C22×C4—441no—
1007C22×C4—441no—
1008C22×C4—441no—
1009C22×C4—441no—
1010C22×C4—441no—
1011C22×C4—441no—
1012C22×C4—441no—
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
1023C22×C4C23×D1111yescharacteristic
1024C22×C4C23×D1111yescharacteristic
1025C22×C4C23×D1111yescharacteristic
1026C22×C4C23×D1111yescharacteristic
1027C4⋊C4—41no—
1028C4⋊C4—41no—
1029C4⋊C4—41no—
1030C4⋊C4—41no—
1031C4⋊C4—41no—
1032C4⋊C4—41no—
1033C4⋊C4—222no—
1034C4⋊C4—222no—
1035C4⋊C4—222no—
1036C4⋊C4—222no—
1037C4⋊C4—222no—
1038C4⋊C4—222no—
1039C4⋊C4—441no—
1040C4⋊C4—441no—
1041C4⋊C4—441no—
1042C4⋊C4—441no—
1043C4⋊C4—441no—
1044C4⋊C4—441no—
1045C4⋊C4—441no—
1046C4⋊C4—441no—
1047C4⋊C4—441no—
1048C4⋊C4—441no—
1049C4⋊C4—441no—
1050C4⋊C4—441no—
1051C4⋊C4—441no—
1052C4⋊C4—441no—
1053C4⋊C4—441no—
1054C4⋊C4—441no—
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—
1069C22⋊C4—22no—
1070C22⋊C4—22no—
1071C22⋊C4—22no—
1072C22⋊C4—22no—
1073C22⋊C4—222no—
1074C22⋊C4—222no—
1075C22⋊C4—222no—
1076C22⋊C4—222no—
1077C42—41no—
1078C42—41no—
1079C42—222no—
1080C42—222no—
1081C42—222no—
1082C42—222no—
1083C42—441no—
1084C42—441no—
1085C42—441no—
1086C42—441no—
1087C42—441no—
1088C42—441no—
1089C11#3697911yescharacteristic, complemented, Sylow
1090C23—21no—
1091C23—21no—
1092C23—21no—
1093C23—21no—
1094C23#41×D1112yes—
1095C23#6704312yes—
1096C23#6704312yes—
1097C23C24×D1111yescharacteristic
1098Q8—882no—
1099Q8—882no—
1100C2×C4—21no—
1101C2×C4—21no—
1102C2×C4—21no—
1103C2×C4—21no—
1104C2×C4—21no—
1105C2×C4—21no—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
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—44no—
1143C2×C4—82no—
1144C2×C4—82no—
1145C2×C4—112no—
1146C2×C4—112no—
1147C2×C4—221no—
1148C2×C4—221no—
1149C2×C4—221no—
1150C2×C4—221no—
1151C2×C4—221no—
1152C2×C4—221no—
1153C2×C4—221no—
1154C2×C4—221no—
1155C2×C4—221no—
1156C2×C4—221no—
1157C2×C4—221no—
1158C2×C4—221no—
1159C2×C4—221no—
1160C2×C4—221no—
1161C2×C4—221no—
1162C2×C4—221no—
1163C2×C4—221no—
1164C2×C4—221no—
1165C2×C4—221no—
1166C2×C4—221no—
1167C2×C4—221no—
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—444no—
1194C2×C4—444no—
1195C2×C4—882no—
1196C2×C4—882no—
1197C22—22no—
1198C22—22no—
1199C22—22no—
1200C22—22no—
1201C22—22no—
1202C22—22no—
1203C22#1062323214yes—
1204C22C2×#41×D1111yescharacteristic
1205C22C2×#6704311yescharacteristic
1206C22C2×#6704311yescharacteristic
1207C22#1062345311yescharacteristic
1208C22#1062345311yescharacteristic
1209C22#1062345511yescharacteristic
1210C22#1062345711yescharacteristic
1211C4—41no—
1212C4—41no—
1213C4—41no—
1214C4—41no—
1215C4—41no—
1216C4—41no—
1217C4—41no—
1218C4—41no—
1219C4—41no—
1220C4—41no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—222no—
1226C4—222no—
1227C4—441no—
1228C4—441no—
1229C4—441no—
1230C4—441no—
1231C4—441no—
1232C4—441no—
1233C4—441no—
1234C4—441no—
1235C4—441no—
1236C4—441no—
1237C4—441no—
1238C4—441no—
1239C4—441no—
1240C4—441no—
1241C2—24no—
1242C2C2×#1062323211yescharacteristic
1243C2#1308231011yescharacteristic
1244C2#1308232811yescharacteristic
1245C2#1308322811yescharacteristic
1246C2#1308322811yescharacteristic
1247C2#1308323611yescharacteristic
1248C2#1308323611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radicalC24×C11C24
hypercenter#2493D11
hypocenterC11#36979
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
3. #13076209C2semidirect
4. #13076205C2semidirect
5. #13076201C2semidirect
6. #13076197C2semidirect
7. #13076111C2semidirect
8. #13076108C2semidirect
9. #13076107C2semidirect
10. #13076104C2semidirect
11. #13076024C2semidirect
12. #13076022C2semidirect
13. #13076017C2semidirect
14. #13076015C2semidirect
15. #13075973C2semidirect
16. #13075969C2semidirect
17. #13075965C2semidirect
18. #13075961C2semidirect
1089. C11#36979semidirect

Maximal subgroups

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

subgroupindex
#130769532
#130762092
#130762052
#130762012
#130761972
#130761112
#130761082
#130761072
#130761042
#130760242
#130760222
#130760172
#130760152
#130759732
#130759692
#130759652
#130759612
#130747332
#130745882
#130731212
#130731192
#130731132
#130731112
#130730052
#130730012
#130729972
#130713472
#130713442
C2×#106222642
C11×#24932
#3697911