Finite Group Databasebeta

← #14775429

Subgroups — #14775429

Order 2816.

730 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077343C211yesmaximal, characteristic
2#13077274C211yesmaximal, characteristic, complemented
3#13069370C211yesmaximal, characteristic, complemented
4#13069322C211yesmaximal, characteristic, complemented
5#13069266C211yesmaximal, characteristic, complemented
6#13069217C211yesmaximal, characteristic, complemented
7#13069217C211yesmaximal, characteristic, complemented
8#13069065C211yesmaximal, characteristic
9#13068893C211yesmaximal, characteristic, complemented
10#13068823C211yesmaximal, characteristic, complemented
11#13068497C211yesmaximal, characteristic, complemented
12#13068463C211yesmaximal, characteristic, complemented
13#13068384C211yesmaximal, characteristic, complemented
14#13068325C211yesmaximal, characteristic, complemented
15C11×#3091C211yesmaximal, characteristic
16C11×#525C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#67001C2211yescharacteristic
19C2×#66979C2211yescharacteristic
20C22×#4318C2211yescharacteristic
21C11×#485C411yescharacteristic, complemented
22C11×#485C411yescharacteristic, complemented
23C11×#484C411yescharacteristic, complemented
24C11×#483C411yescharacteristic, complemented
25C11×#482C411yescharacteristic, complemented
26C11×#482C411yescharacteristic, complemented
27C11×#481C411yescharacteristic, complemented
28C11×#480C411yescharacteristic, complemented
29C11×#427C2211yescharacteristic
30C11×#427C2211yescharacteristic
31C11×#416C2211yescharacteristic
32C11×#416C2211yescharacteristic
33C2×C11×C22⋊C8C2211yescharacteristic
34C2×#66901C2211yescharacteristic
35C2×#66901C2211yescharacteristic
36#10622847C2211yescharacteristic
37#10622820C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×#66883C2211yescharacteristic
40C2×#66883C2211yescharacteristic
41C2×#66879C2211yescharacteristic
42C2×C8×Dic11C2211yescharacteristic
43#10622625—21no—
44#10622624—21no—
45#10622624—21no—
46D4×C11⋊C8—21no—
47#10622613—21no—
48#10622613—21no—
49#10622612C2211yescharacteristic
50#10622612C2211yescharacteristic
51#10622612C2211yescharacteristic
52#10622610C2211yescharacteristic
53#10622610C2211yescharacteristic
54#10622610C2211yescharacteristic
55#10622539—21no—
56#10622538—21no—
57#10622190C2211yescharacteristic
58#10622190C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622188C2211yescharacteristic
61#10622170C2211yescharacteristic
62#10622170C2211yescharacteristic
63#10622170C2211yescharacteristic
64#10622170C2211yescharacteristic
65#10622170C2211yescharacteristic
66#10622170C2211yescharacteristic
67C2×C11×#41C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C11×#123—21no—
72C11×C22⋊Q8C2×C411yescharacteristic
73C11×C22⋊Q8C2×C411yescharacteristic
74C11×#121C2×C411yescharacteristic
75C11×#121C2×C411yescharacteristic
76C11×#120—21no—
77C4×D4×C11—21no—
78C4×D4×C11—21no—
79C11×#117—21no—
80C11×#117—21no—
81C11×#117C2×C411yescharacteristic
82C11×#117C2×C411yescharacteristic
83C11×#117C2311yescharacteristic
84C11×#117C2311yescharacteristic
85C11×#117C2311yescharacteristic
86C2×C11×C4⋊C4C2×C411yescharacteristic
87C2×C11×C4⋊C4C2×C411yescharacteristic
88C2×C11×C22⋊C4—21no—
89C2×C42×C11—21no—
90C2×C22⋊Dic11—21no—
91#67001—22no—
92#67001—41no—
93#66979—22no—
94#66979—41no—
95C2×C4⋊Dic11—21no—
96C2×C4×Dic11C2311yescharacteristic
97C2×C4×Dic11C2311yescharacteristic
98C2×#4318—21no—
99C2×#4318—21no—
100C2×#4318—22no—
101C2×#4318—41no—
102C2×#4318C2311yescharacteristic
103C2×#4318C2311yescharacteristic
104C2×#4318C2311yescharacteristic
105C2×#4318C2311yescharacteristic
106C22×C11⋊C8—21no—
107C22×C11⋊C8—21no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C11×#107C2×C411yescharacteristic
111C11×#107C2×C411yescharacteristic
112C11×#107C2×C411yescharacteristic
113C11×#107C2×C411yescharacteristic
114C11×#106C2×C411yescharacteristic
115C11×#106C2×C411yescharacteristic
116C11×#106C2×C411yescharacteristic
117C11×#106C2×C411yescharacteristic
118C11×#103C2×C411yescharacteristic
119C11×#103C2×C411yescharacteristic
120C11×#103C2×C411yescharacteristic
121C11×#103C2×C411yescharacteristic
122C11×#102C2×C411yescharacteristic
123C11×#102C2×C411yescharacteristic
124C11×#102C2×C411yescharacteristic
125C11×#102C2×C411yescharacteristic
126C11×C22⋊C8C2×C411yescharacteristic
127C11×C22⋊C8C2×C411yescharacteristic
128C11×C22⋊C8C2×C411yescharacteristic
129C11×C22⋊C8C2×C411yescharacteristic
130#66901—22no—
131#66901—41no—
132C22⋊(C11⋊C8)—21no—
133C22⋊(C11⋊C8)—21no—
134C22⋊(C11⋊C8)—21no—
135C22⋊(C11⋊C8)—21no—
136C22⋊(C11⋊C8)D411yescharacteristic
137C22⋊(C11⋊C8)D411yescharacteristic
138C22⋊(C11⋊C8)D411yescharacteristic
139C22⋊(C11⋊C8)D411yescharacteristic
140#66883—22no—
141#66883—41no—
142#66879—41no—
143C8×Dic11—22no—
144C4⋊(C11⋊C8)—21no—
145C4⋊(C11⋊C8)—21no—
146C4⋊(C11⋊C8)—21no—
147C4⋊(C11⋊C8)—21no—
148C4⋊(C11⋊C8)—21no—
149C4⋊(C11⋊C8)—21no—
150#66867—21no—
151#66867—21no—
152#66867—21no—
153C4×C11⋊C8—21no—
154C4×C11⋊C8—21no—
155C4×C11⋊C8—21no—
156#22951—111nomaximal, Sylow
157C24×C11#4111yescharacteristic
158C11×#41—21no—
159C11×#41—21no—
160C11×#41—21no—
161C11×#41—21no—
162C2×Q8×C11C22×C411yescharacteristic
163C2×D4×C11—21no—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11C22×C411yescharacteristic
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11C22×C411yescharacteristic
175C22×C4×C11C22×C411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11#4111yescharacteristic
179C22×C4×C11C2411yescharacteristic
180C22×Dic11—21no—
181C22×Dic11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11C22×C411yescharacteristic
187C2×C8×C11C22×C411yescharacteristic
188C2×C8×C11C22×C411yescharacteristic
189C2×C8×C11C22×C411yescharacteristic
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4C22×C411yescharacteristic
195C11×C4⋊C4C22×C411yescharacteristic
196C11×C4⋊C4C22×C411yescharacteristic
197C11×C4⋊C4C22×C411yescharacteristic
198C11×C4⋊C4C22×C411yescharacteristic
199C11×C4⋊C4C22×C411yescharacteristic
200C11×C22⋊C4—21no—
201C11×C22⋊C4—21no—
202C11×C22⋊C4—21no—
203C11×C22⋊C4—21no—
204C11×C22⋊C4—21no—
205C11×C22⋊C4—21no—
206C11×C22⋊C4—21no—
207C11×C22⋊C4—21no—
208C11×C22⋊C4—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C22⋊Dic11—42no—
215C4⋊Dic11—42no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—21no—
219C4×Dic11#4112yes—
220#4318—21no—
221#4318—21no—
222#4318—21no—
223#4318—21no—
224#4318—21no—
225#4318—21no—
226#4318—21no—
227#4318—42no—
228#4318—42no—
229#4318#4112yes—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—42no—
239C2×C11⋊C8—42no—
240C2×C11⋊C8C2×D411yescharacteristic
241C2×C11⋊C8C2×D411yescharacteristic
242C2×C11⋊C8C2×D411yescharacteristic
243C2×C11⋊C8C2×D411yescharacteristic
244#3091D1111yescharacteristic
245#2933—111no—
246#2924—111no—
247#1946—111no—
248#1937—111no—
249#1929—111no—
250#1922—111no—
251#1922—111no—
252#1897—111no—
253#1866—111no—
254#1855—111no—
255#1772—111no—
256#1765—111no—
257#1750—111no—
258#1733—111no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11C4×D411yescharacteristic
265C23×C11C4×D411yescharacteristic
266C23×C11C2×#4111yescharacteristic
267Q8×C11—21no—
268Q8×C11—21no—
269D4×C11—21no—
270D4×C11—21no—
271D4×C11—42no—
272D4×C11—41no—
273D4×C11—41no—
274D4×C11—81no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—42no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—81no—
296C2×C4×C11C4×D411yescharacteristic
297C2×C4×C11C4×D411yescharacteristic
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C112−1+411yescharacteristic
304C2×Dic11—22no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C8×C11—21no—
311C8×C11—21no—
312C8×C11—21no—
313C8×C11—21no—
314C11⋊C8—21no—
315C11⋊C8—21no—
316C11⋊C8—22no—
317C11⋊C8—21no—
318C11⋊C8—21no—
319C11⋊C8—41no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322C2×#131—111no—
323C22×M16—111no—
324#525C2×D1111yescharacteristic
325C2×#117—111no—
326C2×#117C2×D1111yescharacteristic
327#485Dic1111yescharacteristic, complemented
328#485Dic1111yescharacteristic, complemented
329#484Dic1111yescharacteristic, complemented
330#483Dic1111yescharacteristic, complemented
331#482Dic1111yescharacteristic, complemented
332#482Dic1111yescharacteristic, complemented
333#481Dic1111yescharacteristic, complemented
334#480Dic1111yescharacteristic, complemented
335#436—221no—
336#435—221no—
337#435—221no—
338C8×D4—221no—
339#433—221no—
340#433—221no—
341#432—221no—
342#431—221no—
343C2×#108—111no—
344C2×#108—111no—
345#427C2×D1111yescharacteristic
346#427C2×D1111yescharacteristic
347#424—111no—
348#424—111no—
349#424—111no—
350C2×#104—111no—
351C2×#104—111no—
352#416C2×D1111yescharacteristic
353#416C2×D1111yescharacteristic
354#408—111no—
355#407—111no—
356C2×C22⋊C8—111no—
357C2×C22⋊C8C2×D1111yescharacteristic
358#405—111no—
359#405—111no—
360#405—111no—
361C2×#97—111no—
362C2×C4×C8—111no—
363#341—111no—
364#341—111no—
365#339—111no—
366#339—111no—
367#339—111no—
368#339—111no—
369#339—111no—
370#339—111no—
371#336—111no—
372#336—111no—
373C22×C11—21no—
374C22×C11—21no—
375C22×C11—21no—
376C22×C11—21no—
377C22×C11—21no—
378C22×C11—21no—
379C22×C11—21no—
380C22×C11—21no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11C2×C4×D411yescharacteristic
387C22×C11#55111yescharacteristic
388C22×C11#55211yescharacteristic
389C4×C11—21no—
390C4×C11—21no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—41no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11C4×#4111yescharacteristic
399C4×C11#52011yescharacteristic
400C4×C11#54611yescharacteristic
401C4×C11#54711yescharacteristic
402Dic11—42no—
403Dic11—81no—
404C2×#41C22×D1111yescharacteristic
405C23×C4C22×D1111yescharacteristic
406#131—222no—
407#131—441no—
408C2×M16—111no—
409C2×M16—111no—
410C2×M16—111no—
411C2×M16—111no—
412C2×M16—221no—
413C2×M16—221no—
414C2×M16—222no—
415C2×M16—441no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—221no—
419C22×C8—221no—
420C22×C8C22×D1111yescharacteristic
421C22×C8C22×D1111yescharacteristic
422#123—21no—
423C22⋊Q8C2×Dic1111yescharacteristic
424C22⋊Q8C2×Dic1111yescharacteristic
425#121C2×Dic1111yescharacteristic
426#121C2×Dic1111yescharacteristic
427#120—21no—
428C4×D4—21no—
429C4×D4—21no—
430#117—21no—
431#117—21no—
432#117—222no—
433#117—441no—
434#117C2×Dic1111yescharacteristic
435#117C2×Dic1111yescharacteristic
436#117C22×D1111yescharacteristic
437#117C22×D1111yescharacteristic
438#117C22×D1111yescharacteristic
439C2×C4⋊C4—221no—
440C2×C4⋊C4C2×Dic1111yescharacteristic
441C2×C4⋊C4C2×Dic1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—221no—
444C2×C42—21no—
445C2×C42—111no—
446C2×C42—111no—
447#108—222no—
448#108—441no—
449#107C2×Dic1111yescharacteristic
450#107C2×Dic1111yescharacteristic
451#107C2×Dic1111yescharacteristic
452#107C2×Dic1111yescharacteristic
453#106C2×Dic1111yescharacteristic
454#106C2×Dic1111yescharacteristic
455#106C2×Dic1111yescharacteristic
456#106C2×Dic1111yescharacteristic
457C4⋊C8—221no—
458C4⋊C8—221no—
459C4⋊C8—221no—
460C4⋊C8—221no—
461C4⋊C8—221no—
462C4⋊C8—221no—
463#104—222no—
464#104—441no—
465#103C2×Dic1111yescharacteristic
466#103C2×Dic1111yescharacteristic
467#103C2×Dic1111yescharacteristic
468#103C2×Dic1111yescharacteristic
469#102C2×Dic1111yescharacteristic
470#102C2×Dic1111yescharacteristic
471#102C2×Dic1111yescharacteristic
472#102C2×Dic1111yescharacteristic
473C22⋊C8—111no—
474C22⋊C8—111no—
475C22⋊C8—111no—
476C22⋊C8—111no—
477C22⋊C8—221no—
478C22⋊C8—221no—
479C22⋊C8—221no—
480C22⋊C8—221no—
481C22⋊C8C2×Dic1111yescharacteristic
482C22⋊C8C2×Dic1111yescharacteristic
483C22⋊C8C2×Dic1111yescharacteristic
484C22⋊C8C2×Dic1111yescharacteristic
485#97—221no—
486#97—221no—
487#97—221no—
488#97—441no—
489C4×C8—221no—
490C4×C8—221no—
491C4×C8—221no—
492C4×C8—222no—
493C2×C11—21no—
494C2×C11—21no—
495C2×C11—41no—
496C2×C11—41no—
497C2×C11—81no—
498C2×C11#235911yescharacteristic
499C2×C11#295511yescharacteristic
500C2×C11#295711yescharacteristic
501C24#434111yescharacteristic
502#41—21no—
503#41—21no—
504#41—21no—
505#41—21no—
506C2×Q8C22×Dic1111yescharacteristic
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4C22×Dic1111yescharacteristic
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4D4×D1111yescharacteristic
521C22×C4D4×D1111yescharacteristic
522C22×C4#434111yescharacteristic
523C22×C4C22×Dic1111yescharacteristic
524C22×C4C22×Dic1111yescharacteristic
525C22×C4C23×D1111yescharacteristic
526M16—112no—
527M16—221no—
528M16—221no—
529M16—221no—
530M16—221no—
531M16—221no—
532M16—221no—
533M16—221no—
534M16—442no—
535M16—442no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—111no—
541C2×C8—111no—
542C2×C8—111no—
543C2×C8—111no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—442no—
553C2×C8—442no—
554C2×C8C22×Dic1111yescharacteristic
555C2×C8C22×Dic1111yescharacteristic
556C2×C8C22×Dic1111yescharacteristic
557C2×C8C22×Dic1111yescharacteristic
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—442no—
563C4⋊C4C22×Dic1111yescharacteristic
564C4⋊C4C22×Dic1111yescharacteristic
565C4⋊C4C22×Dic1111yescharacteristic
566C4⋊C4C22×Dic1111yescharacteristic
567C4⋊C4C22×Dic1111yescharacteristic
568C4⋊C4C22×Dic1111yescharacteristic
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—21no—
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—442no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—112no—
585C42—221no—
586C42—221no—
587C42—221no—
588C11#2295111yescharacteristic, complemented, Sylow
589C23—21no—
590C23—21no—
591C23—21no—
592C23—41no—
593C23—41no—
594C23D4×Dic1111yescharacteristic
595C23D4×Dic1111yescharacteristic
596C23C2×#434111yescharacteristic
597Q8—21no—
598Q8—21no—
599D4—21no—
600D4—21no—
601D4—42no—
602D4—41no—
603D4—41no—
604D4—81no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—81no—
626C2×C4—222no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4D4×Dic1111yescharacteristic
633C2×C4D4×Dic1111yescharacteristic
634C2×C4C2×D4×D1111yescharacteristic
635C2×C4#41×D1111yescharacteristic
636C2×C4#41×D1111yescharacteristic
637C2×C4#6704211yescharacteristic
638C2×C4#6704311yescharacteristic
639C2×C4C23×Dic1111yescharacteristic
640C8—21no—
641C8—21no—
642C8—21no—
643C8—21no—
644C8—221no—
645C8—221no—
646C8—222no—
647C8—221no—
648C8—221no—
649C8—441no—
650C8—441no—
651C8—441no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—81no—
664C22—81no—
665C22#1062318111yescharacteristic
666C22#1062318911yescharacteristic
667C22C2×D4×Dic1111yescharacteristic
668C4—21no—
669C4—21no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—442no—
678C4—881no—
679C4#1062318511yescharacteristic
680C4#1062318611yescharacteristic
681C4#41×Dic1111yescharacteristic
682C4#1062335811yescharacteristic
683C2—21no—
684C2—21no—
685C2—41no—
686C2—41no—
687C2—81no—
688C2#1307161211yescharacteristic
689C2#1307751911yescharacteristic
690C2#1307753311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#3091C2
socleC22×C11C2×C4×D4
prime radicalC11×#525C22
cosocleC22×C4×C11C24
hypercenter#3091D11
hypocenterC11#22951
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #13077274C2semidirect
3. #13069370C2semidirect
4. #13069322C2semidirect
5. #13069266C2semidirect
6. #13069217C2semidirect
7. #13069217C2semidirect
9. #13068893C2semidirect
10. #13068823C2semidirect
11. #13068497C2semidirect
12. #13068463C2semidirect
13. #13068384C2semidirect
14. #13068325C2semidirect
21. C11×#485C4semidirect
22. C11×#485C4semidirect
23. C11×#484C4semidirect
24. C11×#483C4semidirect
25. C11×#482C4semidirect
26. C11×#482C4semidirect
27. C11×#481C4semidirect
28. C11×#480C4semidirect
327. #485Dic11semidirect
328. #485Dic11semidirect
329. #484Dic11semidirect
330. #483Dic11semidirect
331. #482Dic11semidirect
332. #482Dic11semidirect
333. #481Dic11semidirect
334. #480Dic11semidirect
588. C11#22951semidirect

Maximal subgroups

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

subgroupindex
#130773432
#130772742
#130693702
#130693222
#130692662
#130692172
#130690652
#130688932
#130688232
#130684972
#130684632
#130683842
#130683252
C11×#30912
#2295111