Finite Group Databasebeta

← #14961975

Subgroups — #14961975

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#13076966C211yesmaximal, characteristic, complemented
2#13076950C211yesmaximal, characteristic, complemented
3#13076502C211yesmaximal, characteristic, complemented
4#13076485C211yesmaximal, characteristic, complemented
5#13076427C211yesmaximal, characteristic, complemented
6#13076395C211yesmaximal, characteristic, complemented
7#13076348C211yesmaximal, characteristic, complemented
8#13076272C211yesmaximal, characteristic
9#13076254C211yesmaximal, characteristic
10#13076121C211yesmaximal, characteristic, complemented
11#13075982C211yesmaximal, characteristic, complemented
12#13075929C211yesmaximal, characteristic, complemented
13#13075815C211yesmaximal, characteristic, complemented
14#13075735C211yesmaximal, characteristic
15#13075438C211yesmaximal, characteristic, complemented
16#13075402C211yesmaximal, characteristic, complemented
17#13075078C211yesmaximal, characteristic, complemented
18#13074532C211yesmaximal, characteristic
19#13074532C211yesmaximal, characteristic
20#13074083C211yesmaximal, characteristic, complemented
21#13074062C211yesmaximal, characteristic, complemented
22#13074058C211yesmaximal, characteristic, complemented
23#13074033C211yesmaximal, characteristic, complemented
24#13073499C211yesmaximal, characteristic, complemented
25#13073411C211yesmaximal, characteristic, complemented
26#13072828C211yesmaximal, characteristic, complemented
27#13072790C211yesmaximal, characteristic, complemented
28#13071373C211yesmaximal, characteristic, complemented
29#13071366C211yesmaximal, characteristic, complemented
30#13071056C211yesmaximal, characteristic
31C11×#2702C211yesmaximal, characteristic
32C2×C11×#126C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×D4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C2×#66943C2211yescharacteristic
37C2×#66941C2211yescharacteristic
38C2×#66931C2211yescharacteristic
39C2×#66931C2211yescharacteristic
40C2×#66930C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#398C2211yescharacteristic
43C11×#396C2211yescharacteristic
44C11×#394C2211yescharacteristic
45C11×#394C2211yescharacteristic
46C11×#393C2211yescharacteristic
47C11×#391C2211yescharacteristic
48C11×#389C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#380C2211yescharacteristic
54#10622843C2211yescharacteristic
55#10622843C2211yescharacteristic
56#10622843C2211yescharacteristic
57#10622842C2211yescharacteristic
58#10622835C2211yescharacteristic
59#10622835C2211yescharacteristic
60#10622833C2211yescharacteristic
61#10622825C2211yescharacteristic
62#10622825C2211yescharacteristic
63#10622823C2211yescharacteristic
64#10622599C2211yescharacteristic
65#10622599C2211yescharacteristic
66#10622599C2211yescharacteristic
67#10622599C2211yescharacteristic
68#10622598C2211yescharacteristic
69#10622597C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622595C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622593C2211yescharacteristic
79#10622593C2211yescharacteristic
80#10622593C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622589C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92#10622587C2211yescharacteristic
93#10622586C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622586C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622566C2211yescharacteristic
99#10622566C2211yescharacteristic
100#10622566C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622565C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622562C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622560C2211yescharacteristic
117#10622560C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622559C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622556C2211yescharacteristic
134#10622556C2211yescharacteristic
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C4×C4⋊Dic11C2211yescharacteristic
140#10622546C2211yescharacteristic
141#10622546C2211yescharacteristic
142#10622546C2211yescharacteristic
143#10622546C2211yescharacteristic
144#10622546C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146#10622542C2211yescharacteristic
147C11⋊#401C2211yescharacteristic
148#10622274C2211yescharacteristic
149#10622273C2211yescharacteristic
150#10622273C2211yescharacteristic
151#10622272C2211yescharacteristic
152#10622271C2211yescharacteristic
153#10622271C2211yescharacteristic
154#10622271C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622269C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×Dic22C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C11×#126—42no—
196C11×C22⋊Q8—42no—
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×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
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
232D4×Dic11—24no—
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×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×Dic11—42no—
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282#66943—42no—
283#66941—42no—
284#66931—24no—
285#66931—24no—
286#66930—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
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C2×Q8×C11—22no—
355C2×Q8×C11—41no—
356C2×Q8×C11—41no—
357C2×D4×C11—22no—
358C2×D4×C11—41no—
359C2×D4×C11—41no—
360C22×C4×C11—22no—
361C22×C4×C11—22no—
362C22×C4×C11—41no—
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×Dic11—22no—
377C22×Dic11—22no—
378C22×Dic11—41no—
379C22×Dic11—41no—
380C22×Dic11—41no—
381C22×Dic11—41no—
382C22×Dic11—41no—
383C22×Dic11—41no—
384C22×Dic11#4114yes—
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
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C2×Dic22—22no—
402C2×Dic22—22no—
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—41no—
411C11×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C4⋊C4—41no—
415C11×C4⋊C4—41no—
416C11×C22⋊C4—22no—
417C11×C22⋊C4—22no—
418C11×C22⋊C4—22no—
419C11×C22⋊C4—22no—
420C11×C22⋊C4—41no—
421C11×C22⋊C4—41no—
422C11×C22⋊C4—41no—
423C11×C22⋊C4—41no—
424C11×C22⋊C4—41no—
425C11×C22⋊C4—41no—
426C11×C22⋊C4—41no—
427C42×C11—41no—
428C42×C11—41no—
429C22⋊Dic11—22no—
430C22⋊Dic11—22no—
431C22⋊Dic11—22no—
432C22⋊Dic11—22no—
433C22⋊Dic11—22no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11—41no—
437C22⋊Dic11—41no—
438C22⋊Dic11—41no—
439C22⋊Dic11—41no—
440C22⋊Dic11—41no—
441C22⋊Dic11—41no—
442C4⋊Dic11—22no—
443C4⋊Dic11—22no—
444C4⋊Dic11—22no—
445C4⋊Dic11—22no—
446C4⋊Dic11—22no—
447C4⋊Dic11—41no—
448C4⋊Dic11—41no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453Dic11⋊C4—22no—
454Dic11⋊C4—22no—
455Dic11⋊C4—22no—
456Dic11⋊C4—22no—
457Dic11⋊C4—22no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
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—
477C4×Dic11—22no—
478C4×Dic11—22no—
479C4×Dic11—22no—
480C4×Dic11—41no—
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#2702D1111yescharacteristic
507#2690—111no—
508#2638—111no—
509#2638—111no—
510#2590—111no—
511#2589—111no—
512#2588—111no—
513#2587—111no—
514#2533—111no—
515#2528—111no—
516#2478—111no—
517#2475—111no—
518#2332—111no—
519#2332—111no—
520#2290—111no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11—21no—
532C23×C11—21no—
533C23×C11—21no—
534C23×C11C2×#4112yes—
535C23×C11C2511yescharacteristic
536Q8×C11—82no—
537D4×C11—44no—
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—44no—
576C2×C4×C11H(5,𝔽2)12yes—
577C2×C4×C112−1+412yes—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×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—44no—
624C2×Dic11—44no—
625C2×Dic11—44no—
626C2×Dic11C2×#4112yes—
627C2×Dic11C2×#4112yes—
628C2×Dic112−1+412yes—
629Dic22—82no—
630Dic22—82no—
631C2×C4⋊Q8—111no—
632C2×#126C2×D1111yescharacteristic
633C2×#125—111no—
634C2×C22⋊Q8—111no—
635C2×C22⋊Q8—111no—
636C2×C22⋊Q8C2×D1111yescharacteristic
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#400—111no—
650#400—111no—
651#400—111no—
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#398C2×D1111yescharacteristic
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#396C2×D1111yescharacteristic
678#395—111no—
679#395—111no—
680#395—111no—
681#394—111no—
682#394—111no—
683#394C2×D1111yescharacteristic
684#394C2×D1111yescharacteristic
685#393—111no—
686#393—111no—
687#393C2×D1111yescharacteristic
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#391C2×D1111yescharacteristic
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#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#388C2×D1111yescharacteristic
723#388C2×D1111yescharacteristic
724#388C2×D1111yescharacteristic
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#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#386—111no—
759#386C2×D1111yescharacteristic
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#383—111no—
770#382—111no—
771#381—111no—
772#381—111no—
773#380—111no—
774#380—111no—
775#380—111no—
776#380—111no—
777#380C2×D1111yescharacteristic
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785#376—111no—
786C22×C11—22no—
787C22×C11—22no—
788C22×C11—22no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11—41no—
794C22×C11—41no—
795C22×C11—41no—
796C22×C11—41no—
797C22×C11—41no—
798C22×C11—41no—
799C22×C11—41no—
800C22×C11C22×#4111yescharacteristic
801C22×C11C2×H(5,𝔽2)11yescharacteristic
802C22×C11C2×2−1+411yescharacteristic
803C22×C11C2×2−1+411yescharacteristic
804C22×C11#58511yescharacteristic
805C22×C11#58511yescharacteristic
806C22×C11#58511yescharacteristic
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—
820Dic11—22no—
821Dic11—22no—
822Dic11—22no—
823Dic11—41no—
824Dic11—41no—
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×Q8C22×D1111yescharacteristic
839C22×D4C22×D1111yescharacteristic
840C23×C4—111no—
841C23×C4—111no—
842C23×C4—111no—
843C23×C4C22×D1111yescharacteristic
844C4⋊Q8—442no—
845#126—42no—
846#125—442no—
847C22⋊Q8—42no—
848C22⋊Q8—224no—
849C22⋊Q8—224no—
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⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
910C2×C22⋊C4C22×D1111yescharacteristic
911C2×C22⋊C4C22×D1111yescharacteristic
912C2×C22⋊C4C22×D1111yescharacteristic
913C2×C22⋊C4C22×D1111yescharacteristic
914C2×C22⋊C4C22×D1111yescharacteristic
915C2×C22⋊C4C22×D1111yescharacteristic
916C2×C22⋊C4C22×D1111yescharacteristic
917C2×C22⋊C4C22×D1111yescharacteristic
918C2×C22⋊C4C22×D1111yescharacteristic
919C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—442no—
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#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#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—42no—
1001C2×C11—81no—
1002C2×C11#345511yescharacteristic
1003C2×C11#350511yescharacteristic
1004C2×C11#350911yescharacteristic
1005C2×C11#353511yescharacteristic
1006C2×C11#354111yescharacteristic
1007C2×C11#355711yescharacteristic
1008C2×C11#356511yescharacteristic
1009C24C23×D1111yescharacteristic
1010C24C23×D1111yescharacteristic
1011C2×Q8—22no—
1012C2×Q8—41no—
1013C2×Q8—41no—
1014C2×Q8—222no—
1015C2×Q8—222no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×Q8—441no—
1019C2×Q8—441no—
1020C2×D4—22no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—41no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—114no—
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—111no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—111no—
1043C22×C4—222no—
1044C22×C4—222no—
1045C22×C4—441no—
1046C22×C4—441no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4—441no—
1050C22×C4—441no—
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—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—222no—
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—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—222no—
1120C22⋊C4—222no—
1121C22⋊C4—222no—
1122C22⋊C4—222no—
1123C22⋊C4—222no—
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—41no—
1133C42—41no—
1134C42—222no—
1135C42—222no—
1136C42—222no—
1137C42—441no—
1138C42—441no—
1139C42—441no—
1140C42—441no—
1141C42—441no—
1142C42—441no—
1143C42—441no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C11#3677211yescharacteristic, complemented, Sylow
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23#41×D1112yes—
1162C23C24×D1111yescharacteristic
1163Q8—82no—
1164Q8—882no—
1165Q8—882no—
1166D4—44no—
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—44no—
1205C2×C4—112no—
1206C2×C4—112no—
1207C2×C4—112no—
1208C2×C4—221no—
1209C2×C4—221no—
1210C2×C4—221no—
1211C2×C4—221no—
1212C2×C4—221no—
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—221no—
1253C2×C4—444no—
1254C2×C4—444no—
1255C2×C4—444no—
1256C2×C4#6703712yes—
1257C2×C4#6704312yes—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—41no—
1262C22—41no—
1263C22—41no—
1264C22—41no—
1265C22—41no—
1266C22—41no—
1267C22—41no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22C2×#6703711yescharacteristic
1273C22C2×#41×D1111yescharacteristic
1274C22C2×#6704311yescharacteristic
1275C22#1062345511yescharacteristic
1276C22#1062345511yescharacteristic
1277C22D11×2−1+411yescharacteristic
1278C22#1062345711yescharacteristic
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—222no—
1293C4—222no—
1294C4—222no—
1295C4—441no—
1296C4—441no—
1297C4—441no—
1298C4—441no—
1299C4—441no—
1300C4—441no—
1301C4—441no—
1302C4—441no—
1303C4—441no—
1304C4—441no—
1305C4—441no—
1306C4—441no—
1307C4—441no—
1308C2—42no—
1309C2—81no—
1310C2#1308199811yescharacteristic
1311C2#1308245211yescharacteristic
1312C2#1308249411yescharacteristic
1313C2#1308281311yescharacteristic
1314C2#1308289711yescharacteristic
1315C2#1308311511yescharacteristic
1316C2#1308325811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2702C2
prime radicalC22×D4×C11C23
hypercenter#2702D11
hypocenterC11#36772
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #13076966C2semidirect
2. #13076950C2semidirect
3. #13076502C2semidirect
4. #13076485C2semidirect
5. #13076427C2semidirect
6. #13076395C2semidirect
7. #13076348C2semidirect
10. #13076121C2semidirect
11. #13075982C2semidirect
12. #13075929C2semidirect
13. #13075815C2semidirect
15. #13075438C2semidirect
16. #13075402C2semidirect
17. #13075078C2semidirect
20. #13074083C2semidirect
21. #13074062C2semidirect
22. #13074058C2semidirect
23. #13074033C2semidirect
24. #13073499C2semidirect
25. #13073411C2semidirect
26. #13072828C2semidirect
27. #13072790C2semidirect
28. #13071373C2semidirect
29. #13071366C2semidirect
1147. C11#36772semidirect

Maximal subgroups

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

subgroupindex
#130769662
#130769502
#130765022
#130764852
#130764272
#130763952
#130763482
#130762722
#130762542
#130761212
#130759822
#130759292
#130758152
#130757352
#130754382
#130754022
#130750782
#130745322
#130740832
#130740622
#130740582
#130740332
#130734992
#130734112
#130728282
#130727902
#130713732
#130713662
#130710562
C11×#27022
#3677211