Finite Group Databasebeta

← #14962311

Subgroups — #14962311

Order 2816.

1540 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076937C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076425C211yesmaximal, characteristic, complemented
4#13076386C211yesmaximal, characteristic, complemented
5#13076265C211yesmaximal, characteristic, complemented
6#13076199C211yesmaximal, characteristic, complemented
7#13076053C211yesmaximal, characteristic, complemented
8#13076045C211yesmaximal, characteristic, complemented
9#13075841C211yesmaximal, characteristic
10#13075802C211yesmaximal, characteristic, complemented
11#13075772C211yesmaximal, characteristic, complemented
12#13075757C211yesmaximal, characteristic, complemented
13#13075757C211yesmaximal, characteristic, complemented
14#13075695C211yesmaximal, characteristic, complemented
15#13075481C211yesmaximal, characteristic, complemented
16#13075322C211yesmaximal, characteristic, complemented
17#13075135C211yesmaximal, characteristic, complemented
18#13075124C211yesmaximal, characteristic
19#13074711C211yesmaximal, characteristic, complemented
20#13074696C211yesmaximal, characteristic, complemented
21#13074034C211yesmaximal, characteristic, complemented
22#13073959C211yesmaximal, characteristic, complemented
23#13073917C211yesmaximal, characteristic, complemented
24#13073490C211yesmaximal, characteristic, complemented
25#13073445C211yesmaximal, characteristic, complemented
26#13072329C211yesmaximal, characteristic, complemented
27#13072024C211yesmaximal, characteristic, complemented
28#13071410C211yesmaximal, characteristic, complemented
29#13071216C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C11×#2602C211yesmaximal, characteristic
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66988C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×#66979C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C2×#66942C2211yescharacteristic
40C2×#66923C2211yescharacteristic
41C11×#397C2211yescharacteristic
42C11×#394C2211yescharacteristic
43C11×#394C2211yescharacteristic
44C11×#392C2211yescharacteristic
45C11×#390C2211yescharacteristic
46C11×#389C2211yescharacteristic
47C11×#388C2211yescharacteristic
48C11×#388C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#387C2211yescharacteristic
51C11×#386C2211yescharacteristic
52C11×#385C2211yescharacteristic
53C4×C11×C22⋊C4C2211yescharacteristic
54#10622835C2211yescharacteristic
55#10622834C2211yescharacteristic
56#10622833C2211yescharacteristic
57#10622833C2211yescharacteristic
58#10622833C2211yescharacteristic
59#10622833C2211yescharacteristic
60#10622833C2211yescharacteristic
61#10622833C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67C4×C22⋊Dic11C2211yescharacteristic
68C4×C22⋊Dic11C2211yescharacteristic
69#10622599C2211yescharacteristic
70#10622598C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622566C2211yescharacteristic
93#10622566C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622562C2211yescharacteristic
111#10622562C2211yescharacteristic
112#10622562C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622561C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622559C2211yescharacteristic
127#10622559C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622558C2211yescharacteristic
130#10622558C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622556C2211yescharacteristic
134#10622556C2211yescharacteristic
135#10622556C2211yescharacteristic
136#10622556C2211yescharacteristic
137#10622556C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144#10622548C2211yescharacteristic
145C4×C4⋊Dic11C2211yescharacteristic
146#10622546C2211yescharacteristic
147#10622546C2211yescharacteristic
148#10622546C2211yescharacteristic
149#10622546C2211yescharacteristic
150#10622546C2211yescharacteristic
151#10622546C2211yescharacteristic
152#10622545C2211yescharacteristic
153#10622541C2211yescharacteristic
154#10622541C2211yescharacteristic
155C11⋊#401C2211yescharacteristic
156C11⋊#401C2211yescharacteristic
157#10622274C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622273C2211yescharacteristic
161#10622273C2211yescharacteristic
162#10622273C2211yescharacteristic
163#10622272C2211yescharacteristic
164#10622272C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622271C2211yescharacteristic
167#10622271C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622264C2211yescharacteristic
183#10622263C2211yescharacteristic
184#10622263C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C11×#123—24no—
198C4×D4×C11—24no—
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×C22⋊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×C11×C22⋊C4C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
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×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240#66988—42no—
241#66988—42no—
242#66979—42no—
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
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×Dic11⋊C4—24no—
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×C4×Dic11—42no—
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291#66942—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
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351#36783—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C24×C11C2411yescharacteristic
355C2×D4×C11—22no—
356C2×D4×C11—22no—
357C2×D4×C11—22no—
358C2×D4×C11—22no—
359C2×D4×C11—41no—
360C2×D4×C11—41no—
361C2×D4×C11—41no—
362C2×D4×C11—41no—
363C2×D4×C11—41no—
364C22×C4×C11—22no—
365C22×C4×C11—41no—
366C22×C4×C11—41no—
367C22×C4×C11—41no—
368C22×C4×C11—41no—
369C22×C4×C11#4114yes—
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×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×Dic11—22no—
383C22×Dic11—22no—
384C22×Dic11—22no—
385C22×Dic11—22no—
386C22×Dic11—41no—
387C22×Dic11—41no—
388C22×Dic11—41no—
389C22×Dic11—41no—
390C22×Dic11—41no—
391C22×Dic11—41no—
392C22×Dic11—41no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C11×C4⋊C4—22no—
414C11×C4⋊C4—22no—
415C11×C4⋊C4—22no—
416C11×C4⋊C4—41no—
417C11×C4⋊C4—41no—
418C11×C4⋊C4—41no—
419C11×C22⋊C4—22no—
420C11×C22⋊C4—22no—
421C11×C22⋊C4—22no—
422C11×C22⋊C4—22no—
423C11×C22⋊C4—22no—
424C11×C22⋊C4—22no—
425C11×C22⋊C4—41no—
426C11×C22⋊C4—41no—
427C11×C22⋊C4—41no—
428C11×C22⋊C4—41no—
429C11×C22⋊C4—41no—
430C11×C22⋊C4—41no—
431C11×C22⋊C4—41no—
432C42×C11—22no—
433C42×C11—41no—
434C42×C11—41no—
435C22⋊Dic11—22no—
436C22⋊Dic11—22no—
437C22⋊Dic11—22no—
438C22⋊Dic11—41no—
439C22⋊Dic11—41no—
440C22⋊Dic11—41no—
441C22⋊Dic11—41no—
442C22⋊Dic11—41no—
443C22⋊Dic11—41no—
444C22⋊Dic11—41no—
445C22⋊Dic11—41no—
446C22⋊Dic11—41no—
447C22⋊Dic11—41no—
448C22⋊Dic11—41no—
449C22⋊Dic11—41no—
450C22⋊Dic11—41no—
451C22⋊Dic11—41no—
452C22⋊Dic11—41no—
453C22⋊Dic11—41no—
454C4⋊Dic11—22no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460C4⋊Dic11—41no—
461C4⋊Dic11—41no—
462C4⋊Dic11—41no—
463C4⋊Dic11—41no—
464C4⋊Dic11—41no—
465C4⋊Dic11—41no—
466C4⋊Dic11—41no—
467Dic11⋊C4—22no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
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—
490Dic11⋊C4—41no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11—41no—
494C4×Dic11—41no—
495C4×Dic11—41no—
496C4×Dic11—41no—
497C4×Dic11—41no—
498C4×Dic11—41no—
499C4×Dic11—41no—
500#2853—111no—
501#2851—111no—
502#2793—111no—
503#2790—111no—
504#2780—111no—
505#2776—111no—
506#2765—111no—
507#2765—111no—
508#2749—111no—
509#2746—111no—
510#2744—111no—
511#2743—111no—
512#2743—111no—
513#2739—111no—
514#2719—111no—
515#2707—111no—
516#2694—111no—
517#2693—111no—
518#2655—111no—
519#2654—111no—
520#2602D1111yescharacteristic
521#2587—111no—
522#2579—111no—
523#2576—111no—
524#2533—111no—
525#2530—111no—
526#2441—111no—
527#2413—111no—
528#2335—111no—
529#2313—111no—
530#2290—111no—
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×C11—21no—
540C23×C11—21no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11C2×#4112yes—
551C23×C112−1+412yes—
552C23×C11C2511yescharacteristic
553D4×C11—44no—
554D4×C11—82no—
555D4×C11—82no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—44no—
591C2×C4×C11—44no—
592C2×C4×C11C2×#4112yes—
593C2×C4×C11C2×#4112yes—
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—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—44no—
642C2×Dic11—44no—
643C2×Dic11—44no—
644C2×Dic11—82no—
645C2×Dic11—82no—
646C2×Dic11H(5,𝔽2)12yes—
647C2×#125—111no—
648C2×#125—111no—
649C2×#123—111no—
650C2×#123—111no—
651C2×#123C2×D1111yescharacteristic
652C2×C4×D4C2×D1111yescharacteristic
653C2×#117—111no—
654C22×C4⋊C4—111no—
655C22×C42—111no—
656#401—111no—
657#401—111no—
658#400—111no—
659#400—111no—
660#400—111no—
661#400—111no—
662#400—111no—
663#400—111no—
664#400—111no—
665#400—111no—
666#400—111no—
667#400—111no—
668#400—111no—
669#400—111no—
670#400—111no—
671#399—111no—
672#399—111no—
673#399—111no—
674#398—111no—
675#398—111no—
676#398—111no—
677#398—111no—
678#398—111no—
679#398—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#397—111no—
685#397—111no—
686#397—111no—
687#397—111no—
688#397—111no—
689#397C2×D1111yescharacteristic
690#396—111no—
691#396—111no—
692#396—111no—
693#396—111no—
694#396—111no—
695#396—111no—
696#396—111no—
697#396—111no—
698#396—111no—
699#396—111no—
700#394—111no—
701#394C2×D1111yescharacteristic
702#394C2×D1111yescharacteristic
703#392C2×D1111yescharacteristic
704#390—111no—
705#390C2×D1111yescharacteristic
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#389C2×D1111yescharacteristic
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388C2×D1111yescharacteristic
730#388C2×D1111yescharacteristic
731#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
758#386—111no—
759#386—111no—
760#386—111no—
761#386—111no—
762#386—111no—
763#386—111no—
764#386—111no—
765#386—111no—
766#386C2×D1111yescharacteristic
767#385—111no—
768#385—111no—
769#385—111no—
770#385—111no—
771#385—111no—
772#385—111no—
773#385—111no—
774#385—111no—
775#385—111no—
776#385—111no—
777#385—111no—
778#385—111no—
779#385C2×D1111yescharacteristic
780#384—111no—
781#383—111no—
782#382—111no—
783#382—111no—
784#381—111no—
785#381—111no—
786#381—111no—
787#381—111no—
788#381—111no—
789#380—111no—
790#380—111no—
791#380—111no—
792#380—111no—
793#380—111no—
794#380—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4C2×D1111yescharacteristic
801#376—111no—
802C22×C11—22no—
803C22×C11—22no—
804C22×C11—22no—
805C22×C11—22no—
806C22×C11—22no—
807C22×C11—22no—
808C22×C11—41no—
809C22×C11—41no—
810C22×C11—41no—
811C22×C11—41no—
812C22×C11—41no—
813C22×C11—41no—
814C22×C11—41no—
815C22×C11—41no—
816C22×C11—41no—
817C22×C11—41no—
818C22×C11—41no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11C22×#4111yescharacteristic
824C22×C11C2×H(5,𝔽2)11yescharacteristic
825C22×C11C2×2−1+411yescharacteristic
826C22×C11#58511yescharacteristic
827C22×C11#58511yescharacteristic
828C22×C11#58511yescharacteristic
829C22×C11#58511yescharacteristic
830C4×C11—22no—
831C4×C11—22no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11—41no—
837C4×C11—41no—
838C4×C11—41no—
839C4×C11—41no—
840C4×C11—41no—
841C4×C11—41no—
842Dic11—22no—
843Dic11—41no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847Dic11—41no—
848Dic11—41no—
849Dic11—41no—
850Dic11—41no—
851Dic11—41no—
852Dic11—41no—
853Dic11—41no—
854Dic11—41no—
855Dic11—41no—
856Dic11—41no—
857Dic11—41no—
858C22×D4C22×D1111yescharacteristic
859C22×D4C22×D1111yescharacteristic
860C22×D4C22×D1111yescharacteristic
861C23×C4—111no—
862C23×C4—111no—
863C23×C4—111no—
864C23×C4—111no—
865C23×C4—111no—
866C23×C4C22×D1111yescharacteristic
867C23×C4C22×D1111yescharacteristic
868#125—442no—
869#125—442no—
870#123—24no—
871#123—442no—
872#123—442no—
873C4×D4—24no—
874#117—442no—
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⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—224no—
913C2×C4⋊C4C22×D1111yescharacteristic
914C2×C4⋊C4C22×D1111yescharacteristic
915C2×C4⋊C4C22×D1111yescharacteristic
916C2×C4⋊C4C22×D1111yescharacteristic
917C2×C4⋊C4C22×D1111yescharacteristic
918C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
927C2×C22⋊C4—111no—
928C2×C22⋊C4—111no—
929C2×C22⋊C4—111no—
930C2×C22⋊C4—111no—
931C2×C22⋊C4—111no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4C22×D1111yescharacteristic
939C2×C22⋊C4C22×D1111yescharacteristic
940C2×C22⋊C4C22×D1111yescharacteristic
941C2×C22⋊C4C22×D1111yescharacteristic
942C2×C22⋊C4C22×D1111yescharacteristic
943C2×C22⋊C4C22×D1111yescharacteristic
944C2×C22⋊C4C22×D1111yescharacteristic
945C2×C22⋊C4C22×D1111yescharacteristic
946C2×C22⋊C4C22×D1111yescharacteristic
947C2×C22⋊C4C22×D1111yescharacteristic
948C2×C22⋊C4C22×D1111yescharacteristic
949C2×C22⋊C4C22×D1111yescharacteristic
950C2×C22⋊C4C22×D1111yescharacteristic
951C2×C42—111no—
952C2×C42—111no—
953C2×C42—111no—
954C2×C42—111no—
955C2×C42—111no—
956C2×C42—111no—
957C2×C42—111no—
958C2×C42—111no—
959C2×C42—111no—
960C2×C42—442no—
961C2×C42C22×D1111yescharacteristic
962C2×C42C22×D1111yescharacteristic
963C2×C42C22×D1111yescharacteristic
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#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95C22×D1111yescharacteristic
1015#95C22×D1111yescharacteristic
1016#95C22×D1111yescharacteristic
1017#95C22×D1111yescharacteristic
1018#95C22×D1111yescharacteristic
1019#95C22×D1111yescharacteristic
1020#95C22×D1111yescharacteristic
1021#95C22×D1111yescharacteristic
1022C2×C11—42no—
1023C2×C11—42no—
1024C2×C11—81no—
1025C2×C11#345511yescharacteristic
1026C2×C11#349511yescharacteristic
1027C2×C11#350511yescharacteristic
1028C2×C11#353511yescharacteristic
1029C2×C11#353911yescharacteristic
1030C2×C11#355311yescharacteristic
1031C2×C11#356611yescharacteristic
1032C24C23×D1111yescharacteristic
1033C24C23×D1111yescharacteristic
1034C24C23×D1111yescharacteristic
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C22×C4—22no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—111no—
1050C22×C4—111no—
1051C22×C4—111no—
1052C22×C4—111no—
1053C22×C4—111no—
1054C22×C4—111no—
1055C22×C4—111no—
1056C22×C4—111no—
1057C22×C4—111no—
1058C22×C4—111no—
1059C22×C4—111no—
1060C22×C4—111no—
1061C22×C4—111no—
1062C22×C4—111no—
1063C22×C4—111no—
1064C22×C4—111no—
1065C22×C4—222no—
1066C22×C4—222no—
1067C22×C4—222no—
1068C22×C4—222no—
1069C22×C4—441no—
1070C22×C4—441no—
1071C22×C4—441no—
1072C22×C4—441no—
1073C22×C4—441no—
1074C22×C4—441no—
1075C22×C4—441no—
1076C22×C4—441no—
1077C22×C4—441no—
1078C22×C4—441no—
1079C22×C4—441no—
1080C22×C4#434114yes—
1081C22×C4C23×D1111yescharacteristic
1082C22×C4C23×D1111yescharacteristic
1083C22×C4C23×D1111yescharacteristic
1084C22×C4C23×D1111yescharacteristic
1085C22×C4C23×D1111yescharacteristic
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1111yescharacteristic
1091C22×C4C23×D1111yescharacteristic
1092C22×C4C23×D1111yescharacteristic
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—222no—
1100C4⋊C4—222no—
1101C4⋊C4—222no—
1102C4⋊C4—222no—
1103C4⋊C4—222no—
1104C4⋊C4—222no—
1105C4⋊C4—222no—
1106C4⋊C4—222no—
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⋊C4—441no—
1124C4⋊C4—441no—
1125C4⋊C4—441no—
1126C4⋊C4—441no—
1127C4⋊C4—441no—
1128C4⋊C4—441no—
1129C4⋊C4—441no—
1130C4⋊C4—441no—
1131C4⋊C4—441no—
1132C4⋊C4—441no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—222no—
1150C22⋊C4—222no—
1151C22⋊C4—222no—
1152C22⋊C4—441no—
1153C22⋊C4—441no—
1154C22⋊C4—441no—
1155C22⋊C4—441no—
1156C22⋊C4—441no—
1157C22⋊C4—441no—
1158C22⋊C4—441no—
1159C22⋊C4—441no—
1160C22⋊C4—441no—
1161C22⋊C4—441no—
1162C22⋊C4—441no—
1163C22⋊C4—441no—
1164C22⋊C4—441no—
1165C22⋊C4—441no—
1166C22⋊C4—441no—
1167C22⋊C4—441no—
1168C42—22no—
1169C42—41no—
1170C42—41no—
1171C42—222no—
1172C42—222no—
1173C42—441no—
1174C42—441no—
1175C42—441no—
1176C42—441no—
1177C42—441no—
1178C42—441no—
1179C42—441no—
1180C11#3678311yescharacteristic, complemented, Sylow
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23C2×#434112yes—
1201C23#6704312yes—
1202C23C24×D1111yescharacteristic
1203D4—44no—
1204D4—82no—
1205D4—82no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—44no—
1241C2×C4—44no—
1242C2×C4—112no—
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—221no—
1263C2×C4—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—221no—
1267C2×C4—221no—
1268C2×C4—221no—
1269C2×C4—221no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—444no—
1291C2×C4—444no—
1292C2×C4—444no—
1293C2×C4—882no—
1294C2×C4—882no—
1295C2×C4C2×#434112yes—
1296C2×C4C2×#434112yes—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—22no—
1301C22—22no—
1302C22—22no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—41no—
1308C22—41no—
1309C22—41no—
1310C22—41no—
1311C22—41no—
1312C22—41no—
1313C22—41no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—41no—
1318C22C22×#434111yescharacteristic
1319C22C2×#6704311yescharacteristic
1320C22#1062345311yescharacteristic
1321C22#1062345311yescharacteristic
1322C22#1062345311yescharacteristic
1323C22D11×H(5,𝔽2)11yescharacteristic
1324C22#1062345511yescharacteristic
1325C4—22no—
1326C4—22no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—222no—
1338C4—441no—
1339C4—441no—
1340C4—441no—
1341C4—441no—
1342C4—441no—
1343C4—441no—
1344C4—441no—
1345C4—441no—
1346C4—441no—
1347C4—441no—
1348C4—441no—
1349C4—441no—
1350C4—441no—
1351C4—441no—
1352C4—441no—
1353C2—42no—
1354C2—42no—
1355C2—81no—
1356C2#1308200511yescharacteristic
1357C2#1308237011yescharacteristic
1358C2#1308245311yescharacteristic
1359C2#1308281211yescharacteristic
1360C2#1308286611yescharacteristic
1361C2#1308306411yescharacteristic
1362C2#1308328511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2602C2
prime radicalC11×#392C22
hypercenter#2602D11
hypocenterC11#36783
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. #13076937C2semidirect
2. #13076922C2semidirect
3. #13076425C2semidirect
4. #13076386C2semidirect
5. #13076265C2semidirect
6. #13076199C2semidirect
7. #13076053C2semidirect
8. #13076045C2semidirect
10. #13075802C2semidirect
11. #13075772C2semidirect
12. #13075757C2semidirect
13. #13075757C2semidirect
14. #13075695C2semidirect
15. #13075481C2semidirect
16. #13075322C2semidirect
17. #13075135C2semidirect
19. #13074711C2semidirect
20. #13074696C2semidirect
21. #13074034C2semidirect
22. #13073959C2semidirect
23. #13073917C2semidirect
24. #13073490C2semidirect
25. #13073445C2semidirect
26. #13072329C2semidirect
27. #13072024C2semidirect
28. #13071410C2semidirect
29. #13071216C2semidirect
30. #13071061C2semidirect
1180. C11#36783semidirect

Maximal subgroups

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

subgroupindex
#130769372
#130769222
#130764252
#130763862
#130762652
#130761992
#130760532
#130760452
#130758412
#130758022
#130757722
#130757572
#130756952
#130754812
#130753222
#130751352
#130751242
#130747112
#130746962
#130740342
#130739592
#130739172
#130734902
#130734452
#130723292
#130720242
#130714102
#130712162
#130710612
C11×#26022
#3678311