Finite Group Databasebeta

← #14961584

Subgroups — #14961584

Order 2816.

1496 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076955C211yesmaximal, characteristic, complemented
2#13076926C211yesmaximal, characteristic, complemented
3#13076588C211yesmaximal, characteristic, complemented
4#13076531C211yesmaximal, characteristic, complemented
5#13076404C211yesmaximal, characteristic, complemented
6#13076389C211yesmaximal, characteristic, complemented
7#13076381C211yesmaximal, characteristic, complemented
8#13076268C211yesmaximal, characteristic
9#13076261C211yesmaximal, characteristic
10#13076100C211yesmaximal, characteristic, complemented
11#13076097C211yesmaximal, characteristic, complemented
12#13076093C211yesmaximal, characteristic, complemented
13#13075927C211yesmaximal, characteristic, complemented
14#13075827C211yesmaximal, characteristic
15#13075636C211yesmaximal, characteristic
16#13075570C211yesmaximal, characteristic, complemented
17#13075497C211yesmaximal, characteristic, complemented
18#13075275C211yesmaximal, characteristic, complemented
19#13074810C211yesmaximal, characteristic, complemented
20#13074810C211yesmaximal, characteristic, complemented
21#13074319C211yesmaximal, characteristic, complemented
22#13074283C211yesmaximal, characteristic, complemented
23#13074273C211yesmaximal, characteristic, complemented
24#13074268C211yesmaximal, characteristic, complemented
25#13073844C211yesmaximal, characteristic, complemented
26#13073835C211yesmaximal, characteristic, complemented
27#13072323C211yesmaximal, characteristic, complemented
28#13072286C211yesmaximal, characteristic, complemented
29#13071259C211yesmaximal, characteristic
30#13071249C211yesmaximal, characteristic
31C11×#2290C211yesmaximal, characteristic
32C2×C4×D4×C11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66977C2211yescharacteristic
36C2×#66943C2211yescharacteristic
37C2×#66931C2211yescharacteristic
38C2×#66923C2211yescharacteristic
39C11×#388C2211yescharacteristic
40C11×#388C2211yescharacteristic
41C11×#387C2211yescharacteristic
42C11×#387C2211yescharacteristic
43C11×#386C2211yescharacteristic
44C11×#386C2211yescharacteristic
45C11×#385C2211yescharacteristic
46C11×#385C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C22⋊C4C2211yescharacteristic
49C4×C11×C22⋊C4C2211yescharacteristic
50C11×#376C2211yescharacteristic
51#10622834C2211yescharacteristic
52#10622834C2211yescharacteristic
53#10622833C2211yescharacteristic
54#10622833C2211yescharacteristic
55#10622825C2211yescharacteristic
56#10622825C2211yescharacteristic
57#10622825C2211yescharacteristic
58#10622825C2211yescharacteristic
59#10622824C2211yescharacteristic
60#10622824C2211yescharacteristic
61#10622824C2211yescharacteristic
62#10622823C2211yescharacteristic
63#10622823C2211yescharacteristic
64#10622823C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622823C2211yescharacteristic
68C4×C22⋊Dic11C2211yescharacteristic
69C2×C11⋊#95C2211yescharacteristic
70#10622599C2211yescharacteristic
71#10622598C2211yescharacteristic
72#10622598C2211yescharacteristic
73#10622598C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622597C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622592C2211yescharacteristic
83#10622590C2211yescharacteristic
84#10622589C2211yescharacteristic
85#10622589C2211yescharacteristic
86#10622586C2211yescharacteristic
87#10622586C2211yescharacteristic
88#10622586C2211yescharacteristic
89#10622564C2211yescharacteristic
90#10622564C2211yescharacteristic
91#10622564C2211yescharacteristic
92#10622564C2211yescharacteristic
93#10622564C2211yescharacteristic
94#10622564C2211yescharacteristic
95#10622563C2211yescharacteristic
96#10622563C2211yescharacteristic
97#10622563C2211yescharacteristic
98#10622562C2211yescharacteristic
99#10622562C2211yescharacteristic
100#10622562C2211yescharacteristic
101#10622562C2211yescharacteristic
102#10622562C2211yescharacteristic
103#10622562C2211yescharacteristic
104#10622561C2211yescharacteristic
105#10622561C2211yescharacteristic
106#10622561C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622559C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622555C2211yescharacteristic
118#10622555C2211yescharacteristic
119#10622555C2211yescharacteristic
120#10622550C2211yescharacteristic
121#10622549C2211yescharacteristic
122#10622549C2211yescharacteristic
123C4×C4⋊Dic11C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622546C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622545C2211yescharacteristic
137#10622542C2211yescharacteristic
138#10622542C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622541C2211yescharacteristic
141#10622541C2211yescharacteristic
142#10622541C2211yescharacteristic
143#10622541C2211yescharacteristic
144#10622541C2211yescharacteristic
145#10622541C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622274C2211yescharacteristic
148#10622274C2211yescharacteristic
149#10622274C2211yescharacteristic
150#10622274C2211yescharacteristic
151#10622274C2211yescharacteristic
152#10622274C2211yescharacteristic
153#10622274C2211yescharacteristic
154#10622273C2211yescharacteristic
155#10622273C2211yescharacteristic
156#10622273C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622273C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622270C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622270C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622270C2211yescharacteristic
167#10622270C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622270C2211yescharacteristic
170#10622269C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622268C2211yescharacteristic
173#10622268C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C4×D4×C11Q818yescomplemented
196C11×#117—42no—
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×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C42×C11—42no—
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290#66943—42no—
291#66931—42no—
292#66923—42no—
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
349#36756—111nomaximal, Sylow
350C24×C11C2411yescharacteristic
351C24×C11C2411yescharacteristic
352C2×D4×C11—41no—
353C2×D4×C11—41no—
354C2×D4×C11C2×Q814yes—
355C22×C4×C11—22no—
356C22×C4×C11—41no—
357C22×C4×C11—41no—
358C22×C4×C11—41no—
359C22×C4×C11—41no—
360C22×C4×C11—41no—
361C22×C4×C11—41no—
362C22×C4×C11—41no—
363C22×C4×C11—41no—
364C22×C4×C11—41no—
365C22×C4×C11C2×Q814yes—
366C22×C4×C11C2×Q814yes—
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×Dic11—41no—
381C22×Dic11—41no—
382C22×Dic11—41no—
383C22×Dic11—41no—
384C22×Dic11—41no—
385C22×Dic11—41no—
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C2×Dic22—22no—
403C2×Dic22—41no—
404C2×Dic22—41no—
405C11×C4⋊C4—22no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4C2×Q814yes—
410C11×C22⋊C4—22no—
411C11×C22⋊C4—41no—
412C11×C22⋊C4—41no—
413C11×C22⋊C4—41no—
414C11×C22⋊C4—41no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4C2×Q814yes—
417C11×C22⋊C4C2×Q814yes—
418C42×C11—22no—
419C42×C11—22no—
420C42×C11—41no—
421C42×C11—41no—
422C42×C11—41no—
423C42×C11—41no—
424C42×C11C2×Q814yes—
425C22⋊Dic11—41no—
426C22⋊Dic11—41no—
427C22⋊Dic11—41no—
428C22⋊Dic11—41no—
429C22⋊Dic11—41no—
430C22⋊Dic11—41no—
431C22⋊Dic11—41no—
432C22⋊Dic11—41no—
433C22⋊Dic11—41no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11—41no—
437C22⋊Dic11—41no—
438C22⋊Dic11—41no—
439C4⋊Dic11—22no—
440C4⋊Dic11—41no—
441C4⋊Dic11—41no—
442C4⋊Dic11—41no—
443C4⋊Dic11—41no—
444C4⋊Dic11—41no—
445C4⋊Dic11—41no—
446C4⋊Dic11—41no—
447C4⋊Dic11—41no—
448C4⋊Dic11—41no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—41no—
463Dic11⋊C4—41no—
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—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490C4×Dic11—41no—
491C4×Dic11—41no—
492C4×Dic11—41no—
493C4×Dic11—41no—
494C4×Dic11—41no—
495C4×Dic11—41no—
496#2855—111no—
497#2851—111no—
498#2807—111no—
499#2802—111no—
500#2791—111no—
501#2790—111no—
502#2790—111no—
503#2780—111no—
504#2780—111no—
505#2768—111no—
506#2768—111no—
507#2768—111no—
508#2755—111no—
509#2748—111no—
510#2732—111no—
511#2726—111no—
512#2720—111no—
513#2704—111no—
514#2667—111no—
515#2667—111no—
516#2612—111no—
517#2608—111no—
518#2606—111no—
519#2606—111no—
520#2570—111no—
521#2569—111no—
522#2441—111no—
523#2438—111no—
524#2319—111no—
525#2318—111no—
526#2290D1111yescharacteristic
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11—21no—
532C23×C11—21no—
533C23×C11—21no—
534C23×C11—21no—
535C23×C11—21no—
536C23×C11—21no—
537C23×C11—21no—
538C23×C11—21no—
539C23×C11C22×Q812yes—
540C23×C11C22×Q812yes—
541C23×C11C2511yescharacteristic
542D4×C11—44no—
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—44no—
577C2×C4×C11—44no—
578C2×C4×C11—44no—
579C2×C4×C11—44no—
580C2×C4×C11C22×Q812yes—
581C2×C4×C11C22×Q812yes—
582C2×C4×C11C22×Q812yes—
583C2×C4×C11C22×Q812yes—
584C2×C4×C11C22×Q812yes—
585C2×C4×C11H(5,𝔽2)12yes—
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×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—82no—
635C2×Dic11—82no—
636Dic22—82no—
637C2×#125—111no—
638C2×#125—111no—
639C2×C22⋊Q8—111no—
640C2×C22⋊Q8—111no—
641C2×C4×D4C2×D1111yescharacteristic
642C2×#117C2×D1111yescharacteristic
643C22×C42C2×D1111yescharacteristic
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#399—111no—
651#399—111no—
652#399—111no—
653#399—111no—
654#399—111no—
655#399—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#398—111no—
667#398—111no—
668#398—111no—
669#398—111no—
670#398—111no—
671#398—111no—
672#398—111no—
673#398—111no—
674#398—111no—
675#398—111no—
676#398—111no—
677#398—111no—
678#398—111no—
679#398—111no—
680#396—111no—
681#396—111no—
682#396—111no—
683#396—111no—
684#396—111no—
685#396—111no—
686#396—111no—
687#396—111no—
688#396—111no—
689#396—111no—
690#395—111no—
691#395—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#390—111no—
696#390—111no—
697#389—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#389—111no—
707#389—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388C2×D1111yescharacteristic
725#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
749#387C2×D1111yescharacteristic
750#386—111no—
751#386—111no—
752#386C2×D1111yescharacteristic
753#386C2×D1111yescharacteristic
754#385—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385—111no—
759#385—111no—
760#385—111no—
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#385C2×D1111yescharacteristic
767#385C2×D1111yescharacteristic
768#384—111no—
769#384—111no—
770#383—111no—
771#382—111no—
772#382—111no—
773#382—111no—
774#381—111no—
775#381—111no—
776#381—111no—
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781#380—111no—
782#380—111no—
783#380—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4C2×D1111yescharacteristic
786C4×C22⋊C4—111no—
787C4×C22⋊C4C2×D1111yescharacteristic
788C4×C22⋊C4C2×D1111yescharacteristic
789#376—111no—
790#376C2×D1111yescharacteristic
791C2×#95—111no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—22no—
795C22×C11—22no—
796C22×C11—22no—
797C22×C11—22no—
798C22×C11—41no—
799C22×C11—41no—
800C22×C11—41no—
801C22×C11—41no—
802C22×C11—41no—
803C22×C11—41no—
804C22×C11—41no—
805C22×C11—41no—
806C22×C11C23×Q811yescharacteristic
807C22×C11C2×H(5,𝔽2)11yescharacteristic
808C22×C11#58511yescharacteristic
809C22×C11#58511yescharacteristic
810C22×C11#58511yescharacteristic
811C22×C11#58511yescharacteristic
812C22×C11#58511yescharacteristic
813C4×C11—22no—
814C4×C11—22no—
815C4×C11—22no—
816C4×C11—22no—
817C4×C11—22no—
818C4×C11—22no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826Dic11—41no—
827Dic11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840Dic11—41no—
841Dic11—41no—
842C22×Q8—111no—
843C22×D4C22×D1111yescharacteristic
844C23×C4—111no—
845C23×C4—111no—
846C23×C4C22×D1111yescharacteristic
847C23×C4C22×D1111yescharacteristic
848C23×C4C22×D1111yescharacteristic
849C23×C4C22×D1111yescharacteristic
850#125—442no—
851#125—442no—
852C22⋊Q8—442no—
853C22⋊Q8—442no—
854C4×D4Dic2218yescomplemented
855#117—42no—
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⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4C22×D1111yescharacteristic
908C2×C4⋊C4C22×D1111yescharacteristic
909C2×C4⋊C4C22×D1111yescharacteristic
910C2×C4⋊C4C22×D1111yescharacteristic
911C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
921C2×C22⋊C4—111no—
922C2×C22⋊C4—111no—
923C2×C22⋊C4—111no—
924C2×C22⋊C4—111no—
925C2×C22⋊C4—111no—
926C2×C22⋊C4C22×D1111yescharacteristic
927C2×C22⋊C4C22×D1111yescharacteristic
928C2×C22⋊C4C22×D1111yescharacteristic
929C2×C22⋊C4C22×D1111yescharacteristic
930C2×C22⋊C4C22×D1111yescharacteristic
931C2×C22⋊C4C22×D1111yescharacteristic
932C2×C22⋊C4C22×D1111yescharacteristic
933C2×C22⋊C4C22×D1111yescharacteristic
934C2×C42—42no—
935C2×C42—111no—
936C2×C42—111no—
937C2×C42—111no—
938C2×C42—111no—
939C2×C42—111no—
940C2×C42—111no—
941C2×C42C22×D1111yescharacteristic
942C2×C42C22×D1111yescharacteristic
943C2×C42C22×D1111yescharacteristic
944C2×C42C22×D1111yescharacteristic
945C2×C42C22×D1111yescharacteristic
946C2×C42C22×D1111yescharacteristic
947C2×C42C22×D1111yescharacteristic
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#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000#95C22×D1111yescharacteristic
1001#95C22×D1111yescharacteristic
1002#95C22×D1111yescharacteristic
1003#95C22×D1111yescharacteristic
1004C2×C11—42no—
1005C2×C11—42no—
1006C2×C11#345811yescharacteristic
1007C2×C11#350111yescharacteristic
1008C2×C11#350411yescharacteristic
1009C2×C11#353311yescharacteristic
1010C2×C11#353911yescharacteristic
1011C2×C11#356611yescharacteristic
1012C2×C11#356711yescharacteristic
1013C24C23×D1111yescharacteristic
1014C24C23×D1111yescharacteristic
1015C2×Q8—222no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4C2×Dic2214yes—
1021C22×C4—22no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—111no—
1043C22×C4—111no—
1044C22×C4—111no—
1045C22×C4—111no—
1046C22×C4—111no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4—441no—
1050C22×C4—441no—
1051C22×C4—441no—
1052C22×C4—441no—
1053C22×C4C2×Dic2214yes—
1054C22×C4C2×Dic2214yes—
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
1064C22×C4C23×D1111yescharacteristic
1065C22×C4C23×D1111yescharacteristic
1066C22×C4C23×D1111yescharacteristic
1067C22×C4C23×D1111yescharacteristic
1068C4⋊C4—22no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—222no—
1073C4⋊C4—222no—
1074C4⋊C4—222no—
1075C4⋊C4—441no—
1076C4⋊C4—441no—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4—441no—
1080C4⋊C4—441no—
1081C4⋊C4—441no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C4⋊C4—441no—
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—
1108C4⋊C4—441no—
1109C4⋊C4—441no—
1110C4⋊C4—441no—
1111C4⋊C4—441no—
1112C4⋊C4—441no—
1113C4⋊C4—441no—
1114C4⋊C4—441no—
1115C4⋊C4—441no—
1116C4⋊C4—441no—
1117C4⋊C4—441no—
1118C4⋊C4—441no—
1119C4⋊C4—441no—
1120C4⋊C4—441no—
1121C4⋊C4—441no—
1122C4⋊C4—441no—
1123C4⋊C4C2×Dic2214yes—
1124C22⋊C4—22no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C22⋊C4—441no—
1133C22⋊C4—441no—
1134C22⋊C4—441no—
1135C22⋊C4—441no—
1136C22⋊C4—441no—
1137C22⋊C4—441no—
1138C22⋊C4—441no—
1139C22⋊C4—441no—
1140C22⋊C4—441no—
1141C22⋊C4—441no—
1142C22⋊C4—441no—
1143C22⋊C4—441no—
1144C22⋊C4C2×Dic2214yes—
1145C22⋊C4C2×Dic2214yes—
1146C42—22no—
1147C42—22no—
1148C42—41no—
1149C42—41no—
1150C42—41no—
1151C42—41no—
1152C42—441no—
1153C42—441no—
1154C42—441no—
1155C42—441no—
1156C42—441no—
1157C42—441no—
1158C42C2×Dic2214yes—
1159C11#3675611yescharacteristic, complemented, Sylow
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23C22×Dic2212yes—
1173C23C22×Dic2212yes—
1174C23C24×D1111yescharacteristic
1175Q8—882no—
1176D4—44no—
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—44no—
1211C2×C4—44no—
1212C2×C4—44no—
1213C2×C4—44no—
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—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—882no—
1263C2×C4—882no—
1264C2×C4C22×Dic2212yes—
1265C2×C4C22×Dic2212yes—
1266C2×C4C22×Dic2212yes—
1267C2×C4C22×Dic2212yes—
1268C2×C4C22×Dic2212yes—
1269C2×C4#6703712yes—
1270C22—22no—
1271C22—22no—
1272C22—22no—
1273C22—22no—
1274C22—22no—
1275C22—22no—
1276C22—41no—
1277C22—41no—
1278C22—41no—
1279C22—41no—
1280C22—41no—
1281C22—41no—
1282C22—41no—
1283C22—41no—
1284C22C23×Dic2211yescharacteristic
1285C22C2×#6703711yescharacteristic
1286C22#1062345311yescharacteristic
1287C22#1062345311yescharacteristic
1288C22#1062345311yescharacteristic
1289C22#1062345311yescharacteristic
1290C22#1062345311yescharacteristic
1291C4—22no—
1292C4—22no—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4—441no—
1308C4—441no—
1309C4—441no—
1310C4—441no—
1311C4—441no—
1312C4—441no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C4—441no—
1317C4—441no—
1318C4—441no—
1319C4—441no—
1320C2—42no—
1321C2—42no—
1322C2#1308202111yescharacteristic
1323C2#1308241911yescharacteristic
1324C2#1308244211yescharacteristic
1325C2#1308278011yescharacteristic
1326C2#1308287211yescharacteristic
1327C2#1308328411yescharacteristic
1328C2#1308330411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2290C2
prime radicalC22×D4×C11C23
hypercenter#2290D11
hypocenterC11#36756
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. #13076955C2semidirect
2. #13076926C2semidirect
3. #13076588C2semidirect
4. #13076531C2semidirect
5. #13076404C2semidirect
6. #13076389C2semidirect
7. #13076381C2semidirect
10. #13076100C2semidirect
11. #13076097C2semidirect
12. #13076093C2semidirect
13. #13075927C2semidirect
16. #13075570C2semidirect
17. #13075497C2semidirect
18. #13075275C2semidirect
19. #13074810C2semidirect
20. #13074810C2semidirect
21. #13074319C2semidirect
22. #13074283C2semidirect
23. #13074273C2semidirect
24. #13074268C2semidirect
25. #13073844C2semidirect
26. #13073835C2semidirect
27. #13072323C2semidirect
28. #13072286C2semidirect
195. C4×D4×C11Q8semidirect
854. C4×D4Dic22semidirect
1159. C11#36756semidirect

Maximal subgroups

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

subgroupindex
#130769552
#130769262
#130765882
#130765312
#130764042
#130763892
#130763812
#130762682
#130762612
#130761002
#130760972
#130760932
#130759272
#130758272
#130756362
#130755702
#130754972
#130752752
#130748102
#130743192
#130742832
#130742732
#130742682
#130738442
#130738352
#130723232
#130722862
#130712592
#130712492
C11×#22902
#3675611