Finite Group Databasebeta

← #14968891

Subgroups — #14968891

Order 2816.

1466 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13077007C211yesmaximal, characteristic, complemented
3#13076490C211yesmaximal, characteristic, complemented
4#13076488C211yesmaximal, characteristic, complemented
5#13076424C211yesmaximal, characteristic, complemented
6#13076420C211yesmaximal, characteristic, complemented
7#13075977C211yesmaximal, characteristic, complemented
8#13075912C211yesmaximal, characteristic, complemented
9#13075908C211yesmaximal, characteristic, complemented
10#13075790C211yesmaximal, characteristic, complemented
11#13075784C211yesmaximal, characteristic, complemented
12#13075687C211yesmaximal, characteristic, complemented
13#13075681C211yesmaximal, characteristic, complemented
14#13075661C211yesmaximal, characteristic
15#13075660C211yesmaximal, characteristic
16#13075656C211yesmaximal, characteristic
17#13075655C211yesmaximal, characteristic
18#13074637C211yesmaximal, characteristic, complemented
19#13074627C211yesmaximal, characteristic, complemented
20#13074279C211yesmaximal, characteristic, complemented
21#13074120C211yesmaximal, characteristic, complemented
22#13074117C211yesmaximal, characteristic, complemented
23#13073770C211yesmaximal, characteristic
24#13073474C211yesmaximal, characteristic, complemented
25#13073471C211yesmaximal, characteristic, complemented
26#13073068C211yesmaximal, characteristic, complemented
27#13072885C211yesmaximal, characteristic
28#13071371C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic
30#13071108C211yesmaximal, characteristic, complemented
31C11×#2759C211yesmaximal, characteristic, complemented
32C2×#66999C2211yescharacteristic
33C2×#66945C2211yescharacteristic
34C2×C22⋊C4×D11C2211yescharacteristic
35C11×#401C2211yescharacteristic, complemented
36C11×#397C2211yescharacteristic
37C11×#397C2211yescharacteristic
38C11×#395C2211yescharacteristic, complemented
39C11×#393C2211yescharacteristic
40C11×#393C2211yescharacteristic
41C11×#391C2211yescharacteristic, complemented
42C11×#391C2211yescharacteristic, complemented
43C11×#391C2211yescharacteristic, complemented
44C11×#388C2211yescharacteristic
45C11×#388C2211yescharacteristic
46C11×#388C2211yescharacteristic
47C11×#387C2211yescharacteristic, complemented
48C11×#387C2211yescharacteristic, complemented
49C11×#383C2211yescharacteristic, complemented
50#10622844C2211yescharacteristic
51#10622844C2211yescharacteristic
52#10622844C2211yescharacteristic
53#10622843C2211yescharacteristic, complemented
54#10622843C2211yescharacteristic, complemented
55#10622843C2211yescharacteristic, complemented
56#10622843C2211yescharacteristic, complemented
57#10622607C2211yescharacteristic
58#10622606C2211yescharacteristic
59#10622606C2211yescharacteristic
60#10622605C2211yescharacteristic
61#10622603C2211yescharacteristic
62#10622603C2211yescharacteristic
63#10622603C2211yescharacteristic
64#10622603C2211yescharacteristic
65#10622600C2211yescharacteristic
66#10622597C2211yescharacteristic, complemented
67#10622595C2211yescharacteristic, complemented
68#10622595C2211yescharacteristic, complemented
69#10622594C2211yescharacteristic, complemented
70#10622594C2211yescharacteristic, complemented
71#10622594C2211yescharacteristic, complemented
72#10622591C2211yescharacteristic, complemented
73#10622591C2211yescharacteristic, complemented
74#10622589C2211yescharacteristic, complemented
75C4⋊C4×Dic11C2211yescharacteristic, complemented
76#10622568C2211yescharacteristic
77#10622568C2211yescharacteristic
78#10622568C2211yescharacteristic
79#10622568C2211yescharacteristic
80#10622568C2211yescharacteristic
81#10622568C2211yescharacteristic
82#10622566C2211yescharacteristic
83#10622566C2211yescharacteristic
84#10622565C2211yescharacteristic
85#10622565C2211yescharacteristic
86#10622564C2211yescharacteristic
87#10622564C2211yescharacteristic
88#10622564C2211yescharacteristic
89#10622564C2211yescharacteristic
90#10622564C2211yescharacteristic
91#10622562C2211yescharacteristic
92#10622561C2211yescharacteristic
93#10622561C2211yescharacteristic
94#10622560C2211yescharacteristic
95#10622558C2211yescharacteristic
96#10622558C2211yescharacteristic
97#10622558C2211yescharacteristic
98#10622558C2211yescharacteristic
99#10622557C2211yescharacteristic
100#10622557C2211yescharacteristic
101#10622557C2211yescharacteristic
102#10622557C2211yescharacteristic
103#10622553C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108C4×(C2×D11)⋊C4C2211yescharacteristic
109#10622549C2211yescharacteristic, complemented
110#10622546C2211yescharacteristic, complemented
111C4×Dic11⋊C4C2211yescharacteristic, complemented
112C42×Dic11C2211yescharacteristic, complemented
113#10622542C2211yescharacteristic, complemented
114#10622541C2211yescharacteristic, complemented
115#10622290C2211yescharacteristic
116#10622290C2211yescharacteristic
117#10622289C2211yescharacteristic
118#10622288C2211yescharacteristic
119#10622288C2211yescharacteristic
120#10622288C2211yescharacteristic
121#10622288C2211yescharacteristic
122#10622288C2211yescharacteristic
123#10622288C2211yescharacteristic
124#10622287C2211yescharacteristic
125#10622287C2211yescharacteristic
126#10622286C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622283C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622283C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622282C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622277C2211yescharacteristic
149#10622277C2211yescharacteristic
150#10622277C2211yescharacteristic
151C11⋊#401C2211yescharacteristic, complemented
152#10622273C2211yescharacteristic, complemented
153#10622273C2211yescharacteristic, complemented
154#10622273C2211yescharacteristic, complemented
155#10622272C2211yescharacteristic, complemented
156#10622272C2211yescharacteristic, complemented
157#10622272C2211yescharacteristic, complemented
158#10622270C2211yescharacteristic, complemented
159#10622270C2211yescharacteristic, complemented
160#10622270C2211yescharacteristic, complemented
161#10622269C2211yescharacteristic, complemented
162#10622268C2211yescharacteristic, complemented
163#10622268C2211yescharacteristic, complemented
164#10622268C2211yescharacteristic, complemented
165#10622267C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622266C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C22⋊C4C2311yescharacteristic
199C2×C11×C22⋊C4C2311yescharacteristic
200C2×C11×C22⋊C4C2311yescharacteristic
201C2×C11×C22⋊C4C2311yescharacteristic
202C2×C11×C22⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C22⋊Dic11C2311yescharacteristic
209C2×C22⋊Dic11C2311yescharacteristic
210C2×C22⋊Dic11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215#66999—24no—
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281#66945—24no—
282C22⋊C4×D11—24no—
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11⋊#95C2311yescharacteristic
302C11⋊#95C2311yescharacteristic
303C11⋊#95C2311yescharacteristic
304C11⋊#95C2311yescharacteristic
305C11⋊#95C2311yescharacteristic
306C11⋊#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345#37020—111nomaximal, Sylow
346C24×C11C2411yescharacteristic
347C23×D11—22no—
348C23×D11—41no—
349C23×D11—41no—
350C23×D11—41no—
351C23×D11—41no—
352C23×D11—41no—
353C23×D11—41no—
354C23×D11C2411yescharacteristic
355C23×D11C2411yescharacteristic
356C2×Q8×C11—22no—
357C2×Q8×C11—41no—
358C2×Q8×C11—41no—
359C2×Q8×C11—41no—
360C2×Q8×C11—41no—
361C2×Q8×C11—41no—
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C2×C4×D11—22no—
391C2×C4×D11—41no—
392C2×C4×D11—41no—
393C2×C4×D11—41no—
394C2×C4×D11—41no—
395C2×C4×D11#4114yes—
396C2×Dic22—41no—
397C2×Dic22—41no—
398C2×Dic22—41no—
399C11×C4⋊C4—22no—
400C11×C4⋊C4—41no—
401C11×C4⋊C4—41no—
402C11×C4⋊C4—41no—
403C11×C4⋊C4—41no—
404C11×C22⋊C4—22no—
405C11×C22⋊C4—41no—
406C11×C22⋊C4—41no—
407C11×C22⋊C4—41no—
408C11×C22⋊C4—41no—
409C11×C22⋊C4—41no—
410C11×C22⋊C4—41no—
411C42×C11—41no—
412C42×C11—41no—
413C42×C11—41no—
414C22⋊Dic11—22no—
415C22⋊Dic11—41no—
416C22⋊Dic11—41no—
417C22⋊Dic11—41no—
418C22⋊Dic11—41no—
419C22⋊Dic11—41no—
420C22⋊Dic11—41no—
421(C2×D11)⋊C4—22no—
422(C2×D11)⋊C4—22no—
423(C2×D11)⋊C4—22no—
424(C2×D11)⋊C4—22no—
425(C2×D11)⋊C4—22no—
426(C2×D11)⋊C4—22no—
427(C2×D11)⋊C4—41no—
428(C2×D11)⋊C4—41no—
429(C2×D11)⋊C4—41no—
430(C2×D11)⋊C4—41no—
431(C2×D11)⋊C4—41no—
432(C2×D11)⋊C4—41no—
433(C2×D11)⋊C4—41no—
434(C2×D11)⋊C4—41no—
435(C2×D11)⋊C4—41no—
436(C2×D11)⋊C4—41no—
437(C2×D11)⋊C4—41no—
438(C2×D11)⋊C4—41no—
439(C2×D11)⋊C4—41no—
440(C2×D11)⋊C4—41no—
441(C2×D11)⋊C4—41no—
442(C2×D11)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447C4⋊Dic11—22no—
448C4⋊Dic11—22no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457Dic11⋊C4—22no—
458Dic11⋊C4—22no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
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—
473C4×Dic11—22no—
474C4×Dic11—22no—
475C4×Dic11—41no—
476C4×Dic11—41no—
477C4×Dic11—41no—
478C4×Dic11—41no—
479C4×Dic11—41no—
480C4×Dic11—41no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
486#2866—111no—
487#2866—111no—
488#2798—111no—
489#2798—111no—
490#2793—111no—
491#2793—111no—
492#2759—111no—
493#2759D1111yescharacteristic, complemented
494#2754—111no—
495#2754—111no—
496#2745—111no—
497#2745—111no—
498#2738—111no—
499#2738—111no—
500#2736—111no—
501#2736—111no—
502#2735—111no—
503#2735—111no—
504#2650—111no—
505#2650—111no—
506#2607—111no—
507#2594—111no—
508#2594—111no—
509#2561—111no—
510#2532—111no—
511#2532—111no—
512#2499—111no—
513#2482—111no—
514#2332—111no—
515#2312—111no—
516#2298—111no—
517C23×C11—21no—
518C23×C11—21no—
519C23×C11—21no—
520C23×C11—21no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11C2511yescharacteristic
525C22×D11—21no—
526C22×D11—21no—
527C22×D11—21no—
528C22×D11—21no—
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11—21no—
536C22×D11—21no—
537C22×D11—21no—
538C22×D11—44no—
539C22×D11—82no—
540C22×D11—82no—
541C22×D11—82no—
542C22×D11—82no—
543C22×D11—82no—
544C22×D11—82no—
545C22×D11C2×#4112yes—
546Q8×C11—82no—
547Q8×C11—82no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×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×C11C2×#4112yes—
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×Dic11C2×#4112yes—
632C4×D11—44no—
633C4×D11—82no—
634Dic22—82no—
635C2×C22⋊Q8—111no—
636C2×#117—111no—
637C22×C22⋊C4—111no—
638#401—111no—
639#401C2×D1111yescharacteristic, complemented
640#400—111no—
641#400—111no—
642#400—111no—
643#400—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#399—111no—
649#399—111no—
650#399—111no—
651#399—111no—
652#398—111no—
653#398—111no—
654#398—111no—
655#398—111no—
656#397—111no—
657#397—111no—
658#397—111no—
659#397—111no—
660#397—111no—
661#397—111no—
662#397—111no—
663#397—111no—
664#397—111no—
665#397—111no—
666#397—111no—
667#397—111no—
668#397—111no—
669#397—111no—
670#397C2×D1111yescharacteristic
671#397C2×D1111yescharacteristic
672#396—111no—
673#396—111no—
674#396—111no—
675#396—111no—
676#395—111no—
677#395C2×D1111yescharacteristic, complemented
678#393—111no—
679#393—111no—
680#393—111no—
681#393—111no—
682#393—111no—
683#393—111no—
684#393C2×D1111yescharacteristic
685#393C2×D1111yescharacteristic
686#391—111no—
687#391—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391—111no—
692#391—111no—
693#391C2×D1111yescharacteristic, complemented
694#391C2×D1111yescharacteristic, complemented
695#391C2×D1111yescharacteristic, complemented
696#389—111no—
697#389—111no—
698#388—111no—
699#388—111no—
700#388—111no—
701#388—111no—
702#388—111no—
703#388—111no—
704#388—111no—
705#388—111no—
706#388—111no—
707#388—111no—
708#388—111no—
709#388—111no—
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388C2×D1111yescharacteristic
736#388C2×D1111yescharacteristic
737#388C2×D1111yescharacteristic
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#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387C2×D1111yescharacteristic, complemented
763#387C2×D1111yescharacteristic, complemented
764#385—111no—
765#385—111no—
766#384—111no—
767#383—111no—
768#383C2×D1111yescharacteristic, complemented
769#382—111no—
770#381—111no—
771#381—111no—
772#381—111no—
773#380—111no—
774#380—111no—
775#379—111no—
776#379—111no—
777#379—111no—
778#379—111no—
779#379—111no—
780#379—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C22⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788#376—111no—
789C43—111no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11—41no—
794C22×C11—41no—
795C22×C11—41no—
796C22×C11—41no—
797C22×C11C22×#4111yescharacteristic
798C22×C11#58511yescharacteristic
799C22×C11#58511yescharacteristic
800C22×C11#58511yescharacteristic
801C22×C11#58511yescharacteristic
802C22×C11#58511yescharacteristic
803C22×C11#58511yescharacteristic
804C2×D11—22no—
805C2×D11—22no—
806C2×D11—22no—
807C2×D11—41no—
808C2×D11—41no—
809C2×D11—41no—
810C2×D11—41no—
811C2×D11—41no—
812C2×D11—41no—
813C2×D11—41no—
814C2×D11—41no—
815C2×D11—41no—
816C2×D11—41no—
817C2×D11—41no—
818C2×D11—88no—
819C4×C11—22no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826C4×C11—41no—
827C4×C11—41no—
828C4×C11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833Dic11—22no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840Dic11—41no—
841Dic11—41no—
842Dic11—41no—
843Dic11—41no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847C25—111no—
848C22×Q8—111no—
849C22×Q8C22×D1111yescharacteristic
850C22×Q8C22×D1111yescharacteristic
851C23×C4—111no—
852C23×C4—111no—
853C22⋊Q8—224no—
854#117—224no—
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⋊C4C22×D1111yescharacteristic
882C2×C4⋊C4C22×D1111yescharacteristic
883C2×C4⋊C4C22×D1111yescharacteristic
884C2×C4⋊C4C22×D1111yescharacteristic
885C2×C4⋊C4C22×D1111yescharacteristic
886C2×C22⋊C4—111no—
887C2×C22⋊C4—111no—
888C2×C22⋊C4—111no—
889C2×C22⋊C4—111no—
890C2×C22⋊C4—111no—
891C2×C22⋊C4—111no—
892C2×C22⋊C4—111no—
893C2×C22⋊C4—111no—
894C2×C22⋊C4—111no—
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—224no—
920C2×C22⋊C4C22×D1111yescharacteristic
921C2×C22⋊C4C22×D1111yescharacteristic
922C2×C22⋊C4C22×D1111yescharacteristic
923C2×C22⋊C4C22×D1111yescharacteristic
924C2×C22⋊C4C22×D1111yescharacteristic
925C2×C22⋊C4C22×D1111yescharacteristic
926C2×C22⋊C4C22×D1111yescharacteristic
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—111no—
934C2×C42—111no—
935C2×C42—111no—
936C2×C42—111no—
937C2×C42—111no—
938C2×C42—111no—
939C2×C42—111no—
940C2×C42C22×D1111yescharacteristic
941C2×C42C22×D1111yescharacteristic
942C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000#95C22×D1111yescharacteristic
1001#95C22×D1111yescharacteristic
1002#95C22×D1111yescharacteristic
1003#95C22×D1111yescharacteristic
1004#95C22×D1111yescharacteristic
1005C2×C11—81no—
1006C2×C11#345511yescharacteristic
1007C2×C11#349111yescharacteristic
1008C2×C11#351011yescharacteristic
1009C2×C11#356611yescharacteristic
1010C2×C11#356611yescharacteristic
1011C2×C11#356811yescharacteristic
1012C2×C11#356811yescharacteristic
1013D11—42no—
1014D11—81no—
1015C24—111no—
1016C24—111no—
1017C24—222no—
1018C24—441no—
1019C24—441no—
1020C24—441no—
1021C24—441no—
1022C24—441no—
1023C24—441no—
1024C24C23×D1111yescharacteristic
1025C2×Q8—22no—
1026C2×Q8—41no—
1027C2×Q8—41no—
1028C2×Q8—41no—
1029C2×Q8—41no—
1030C2×Q8—41no—
1031C2×Q8—441no—
1032C2×Q8—441no—
1033C2×Q8—441no—
1034C22×C4—111no—
1035C22×C4—114no—
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—111no—
1048C22×C4—111no—
1049C22×C4—222no—
1050C22×C4—441no—
1051C22×C4—441no—
1052C22×C4—441no—
1053C22×C4—441no—
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
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—41no—
1073C4⋊C4—222no—
1074C4⋊C4—222no—
1075C4⋊C4—222no—
1076C4⋊C4—222no—
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—
1099C22⋊C4—22no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—222no—
1107C22⋊C4—222no—
1108C22⋊C4—222no—
1109C22⋊C4—222no—
1110C22⋊C4—222no—
1111C22⋊C4—222no—
1112C22⋊C4—222no—
1113C22⋊C4—441no—
1114C22⋊C4—441no—
1115C22⋊C4—441no—
1116C22⋊C4—441no—
1117C22⋊C4—441no—
1118C22⋊C4—441no—
1119C22⋊C4—441no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4—441no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C22⋊C4—441no—
1133C22⋊C4—441no—
1134C22⋊C4—441no—
1135C22⋊C4—441no—
1136C22⋊C4—441no—
1137C22⋊C4—441no—
1138C22⋊C4—441no—
1139C42—41no—
1140C42—41no—
1141C42—41no—
1142C42—222no—
1143C42—222no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C42—441no—
1148C42—441no—
1149C42—441no—
1150C42—441no—
1151C42—441no—
1152C42—441no—
1153C42—441no—
1154C42—441no—
1155C11#3702011yescharacteristic, complemented, Sylow
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—112no—
1164C23—221no—
1165C23—221no—
1166C23—221no—
1167C23—221no—
1168C23—221no—
1169C23—221no—
1170C23—221no—
1171C23—221no—
1172C23—221no—
1173C23—221no—
1174C23—221no—
1175C23—221no—
1176C23—221no—
1177C23—444no—
1178C23—882no—
1179C23—882no—
1180C23—882no—
1181C23—882no—
1182C23—882no—
1183C23—882no—
1184C23C24×D1111yescharacteristic
1185Q8—82no—
1186Q8—82no—
1187Q8—882no—
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—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—112no—
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—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—444no—
1272C2×C4—882no—
1273C2×C4#41×D1112yes—
1274C22—41no—
1275C22—41no—
1276C22—41no—
1277C22—41no—
1278C22—41no—
1279C22—41no—
1280C22—41no—
1281C22—222no—
1282C22—222no—
1283C22—222no—
1284C22—441no—
1285C22—441no—
1286C22—441no—
1287C22—441no—
1288C22—441no—
1289C22—441no—
1290C22—441no—
1291C22—441no—
1292C22—441no—
1293C22—441no—
1294C22—441no—
1295C22—888no—
1296C22C2×#41×D1111yescharacteristic
1297C22#1062345311yescharacteristic
1298C22#1062345311yescharacteristic
1299C22#1062345511yescharacteristic
1300C22#1062345511yescharacteristic
1301C22#1062345711yescharacteristic
1302C22#1062345711yescharacteristic
1303C4—22no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—41no—
1311C4—41no—
1312C4—41no—
1313C4—41no—
1314C4—41no—
1315C4—41no—
1316C4—41no—
1317C4—222no—
1318C4—441no—
1319C4—441no—
1320C4—441no—
1321C4—441no—
1322C4—441no—
1323C4—441no—
1324C4—441no—
1325C4—441no—
1326C4—441no—
1327C4—441no—
1328C4—441no—
1329C4—441no—
1330C4—441no—
1331C2—81no—
1332C2—442no—
1333C2—881no—
1334C2#1308200311yescharacteristic
1335C2#1308230711yescharacteristic
1336C2#1308250611yescharacteristic
1337C2#1308328211yescharacteristic
1338C2#1308329611yescharacteristic
1339C2#1308330911yescharacteristic
1340C2#1308331311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2759C2
prime radicalC24×D11C23
hypercenter#2759D11
hypocenterC11#37020
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2759

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13077007C2semidirect
3. #13076490C2semidirect
4. #13076488C2semidirect
5. #13076424C2semidirect
6. #13076420C2semidirect
7. #13075977C2semidirect
8. #13075912C2semidirect
9. #13075908C2semidirect
10. #13075790C2semidirect
11. #13075784C2semidirect
12. #13075687C2semidirect
13. #13075681C2semidirect
18. #13074637C2semidirect
19. #13074627C2semidirect
20. #13074279C2semidirect
21. #13074120C2semidirect
22. #13074117C2semidirect
24. #13073474C2semidirect
25. #13073471C2semidirect
26. #13073068C2semidirect
28. #13071371C2semidirect
30. #13071108C2semidirect
31. C11×#2759C2semidirect
35. C11×#401C22semidirect
38. C11×#395C22semidirect
41. C11×#391C22semidirect
42. C11×#391C22semidirect
43. C11×#391C22semidirect
47. C11×#387C22semidirect
48. C11×#387C22semidirect
49. C11×#383C22semidirect
53. #10622843C22semidirect
54. #10622843C22semidirect
55. #10622843C22semidirect
56. #10622843C22semidirect
66. #10622597C22semidirect
67. #10622595C22semidirect
68. #10622595C22semidirect
69. #10622594C22semidirect
70. #10622594C22semidirect
71. #10622594C22semidirect
72. #10622591C22semidirect
73. #10622591C22semidirect
74. #10622589C22semidirect
75. C4⋊C4×Dic11C22semidirect
109. #10622549C22semidirect
110. #10622546C22semidirect
111. C4×Dic11⋊C4C22semidirect
112. C42×Dic11C22semidirect
113. #10622542C22semidirect
114. #10622541C22semidirect
151. C11⋊#401C22semidirect
152. #10622273C22semidirect
153. #10622273C22semidirect
154. #10622273C22semidirect
155. #10622272C22semidirect
156. #10622272C22semidirect
157. #10622272C22semidirect
158. #10622270C22semidirect
159. #10622270C22semidirect
160. #10622270C22semidirect
161. #10622269C22semidirect
162. #10622268C22semidirect
163. #10622268C22semidirect
164. #10622268C22semidirect
165. #10622267C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622267C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622266C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622265C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
493. #2759D11semidirect
639. #401C2×D11semidirect
677. #395C2×D11semidirect
693. #391C2×D11semidirect
694. #391C2×D11semidirect
695. #391C2×D11semidirect
762. #387C2×D11semidirect
763. #387C2×D11semidirect
768. #383C2×D11semidirect
1155. C11#37020semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130770072
#130764902
#130764882
#130764242
#130764202
#130759772
#130759122
#130759082
#130757902
#130757842
#130756872
#130756812
#130756612
#130756602
#130756562
#130756552
#130746372
#130746272
#130742792
#130741202
#130741172
#130737702
#130734742
#130734712
#130730682
#130728852
#130713712
#130712102
#130711082
C11×#27592
#3702011