Finite Group Databasebeta

← #14814496

Subgroups — #14814496

Order 2816.

886 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071545C211yesmaximal, characteristic, complemented
2#13070184C211yesmaximal, characteristic, complemented
3#13070047C211yesmaximal, characteristic, complemented
4#13070029C211yesmaximal, characteristic, complemented
5#13069795C211yesmaximal, characteristic, complemented
6#13069233C211yesmaximal, characteristic, complemented
7#13069205C211yesmaximal, characteristic, complemented
8#13069045C211yesmaximal, characteristic, complemented
9#13068939C211yesmaximal, characteristic, complemented
10#13068934C211yesmaximal, characteristic, complemented
11#13068909C211yesmaximal, characteristic, complemented
12#13068804C211yesmaximal, characteristic, complemented
13#13068708C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#2416C211yesmaximal, characteristic
16C2×C11×#121—21no—
17C2×C11×#121C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C11×#396—21no—
25C11×#394—21no—
26C11×#390C2211yescharacteristic
27C11×#389C2211yescharacteristic
28C11×#386—21no—
29C11×#380C2211yescharacteristic
30#10622833—21no—
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622825C2211yescharacteristic
37C2×C22⋊(C11⋊C8)C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40#10622594—21no—
41C2×#66871C2211yescharacteristic
42C2×#66871C2211yescharacteristic
43#10622564—21no—
44C22⋊C4×Dic11—21no—
45#10622549C2211yescharacteristic
46C4×C4⋊Dic11C2211yescharacteristic
47#10622167C2211yescharacteristic
48#10622167C2211yescharacteristic
49#10622167C2211yescharacteristic
50#10622167C2211yescharacteristic
51#10622167C2211yescharacteristic
52#10622167C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11D411yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×Dic11—21no—
67C11×#121—22no—
68C11×#121—22no—
69C11×#121—22no—
70C11×#121—41no—
71C11×#121—44no—
72C4×D4×C11—22no—
73C4×D4×C11—22no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4D411yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93#66979—22no—
94#66979—41no—
95C2×C4⋊Dic11—22no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—41no—
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C22×C11⋊C8—22no—
105C22×C11⋊C8—41no—
106C22×C11⋊C8—41no—
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C11×#95—21no—
112C11×#95—21no—
113#66896—22no—
114#66896—41no—
115#66896—41no—
116#66896—41no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C22⋊(C11⋊C8)—22no—
123C22⋊(C11⋊C8)—41no—
124C22⋊(C11⋊C8)—41no—
125#66871—22no—
126#66871—41no—
127#26208—111nomaximal, Sylow
128C24×C11—21no—
129C24×C11C2×D411yescharacteristic
130C24×C11C2×D411yescharacteristic
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11—22no—
134C2×D4×C11—21no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—42no—
141C2×D4×C11—42no—
142C2×D4×C11—42no—
143C2×D4×C11—42no—
144C2×D4×C11—42no—
145C2×D4×C11—81no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—42no—
160C22×C4×C11—42no—
161C22×C4×C11—81no—
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11#4112yes—
167C22×C4×C11#4112yes—
168C22×C4×C11C2411yescharacteristic
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—42no—
174C22×Dic11—42no—
175C22×Dic11—81no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—42no—
183C11×C4⋊C4—42no—
184C11×C4⋊C4#4112yes—
185C11×C22⋊C4—22no—
186C11×C22⋊C4—22no—
187C11×C22⋊C4—42no—
188C11×C22⋊C4—42no—
189C11×C22⋊C4—42no—
190C11×C22⋊C4—42no—
191C11×C22⋊C4—81no—
192C42×C11—21no—
193C42×C11—21no—
194C22⋊Dic11—42no—
195C22⋊Dic11—42no—
196C22⋊Dic11—81no—
197C4⋊Dic11—21no—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—42no—
205C4⋊Dic11#4112yes—
206C4×Dic11—42no—
207C4×Dic11—81no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—44no—
221#2416D1111yescharacteristic
222#2352—111no—
223#2101—111no—
224#2076—111no—
225#2073—111no—
226#2033—111no—
227#1925—111no—
228#1921—111no—
229#1893—111no—
230#1875—111no—
231#1874—111no—
232#1869—111no—
233#1852—111no—
234#1825—111no—
235C2×#340—111no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11#12312yes—
255C23×C11#13512yes—
256C23×C11AGL(1,ℤ/8)12yes—
257C23×C11C22×D411yescharacteristic
258D4×C11—44no—
259D4×C11—41no—
260D4×C11—41no—
261D4×C11—41no—
262D4×C11—41no—
263D4×C11—84no—
264D4×C11—84no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—84no—
294C2×C4×C11#12312yes—
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×Dic11—22no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—84no—
314C11⋊C8—41no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C11⋊C8—41no—
318C23×C8—111no—
319C2×#121—21no—
320C2×#121C2×D1111yescharacteristic
321C2×#121C2×D1111yescharacteristic
322C2×C4×D4C2×D1111yescharacteristic
323C2×#117—111no—
324C22×C4⋊C4—111no—
325C22×C4⋊C4C2×D1111yescharacteristic
326C2×#107—111no—
327C2×#107—111no—
328C2×#102—111no—
329C2×#102—111no—
330C2×#102—111no—
331C2×#102—111no—
332C2×C22⋊C8—111no—
333C2×C22⋊C8—111no—
334C2×C22⋊C8—111no—
335#396—21no—
336#394—21no—
337#390C2×D1111yescharacteristic
338#389C2×D1111yescharacteristic
339#388—221no—
340#387—221no—
341#386—21no—
342#386—221no—
343#382—111no—
344#380—111no—
345#380—111no—
346#380C2×D1111yescharacteristic
347C4×C4⋊C4—111no—
348C4×C22⋊C4—221no—
349#340—111no—
350#340—111no—
351#340—111no—
352#340—111no—
353#340—111no—
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#336—111no—
360#336—111no—
361C22×C11—22no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11#48214yes—
382C22×C11C2×#12311yescharacteristic
383C22×C11#54611yescharacteristic
384C22×C11#54611yescharacteristic
385C22×C11C2×#13511yescharacteristic
386C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C11#57611yescharacteristic
388C22×C11#57811yescharacteristic
389C4×C11—22no—
390C4×C11—41no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—42no—
394C4×C11—81no—
395C4×C11—81no—
396C4×C11#52911yescharacteristic
397C4×C11#53811yescharacteristic
398C4×C11#55311yescharacteristic
399C4×C11#55311yescharacteristic
400Dic11—42no—
401Dic11—81no—
402Dic11—81no—
403Dic11—81no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4C22⋊D1111yescharacteristic
407C22×D4C22×D1111yescharacteristic
408C23×C4—21no—
409C23×C4—221no—
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C22×C8—111no—
413C22×C8—111no—
414C22×C8—111no—
415C22×C8—111no—
416C22×C8—222no—
417C22×C8—441no—
418C22×C8—441no—
419#121—22no—
420#121—22no—
421#121—22no—
422#121—41no—
423#121—44no—
424C4×D4—22no—
425C4×D4—22no—
426#117—222no—
427#117—441no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—41no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—222no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—441no—
439C2×C4⋊C4C22⋊D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4C22⋊D1111yescharacteristic
452C2×C22⋊C4C22⋊D1111yescharacteristic
453C2×C42—221no—
454C2×C42—221no—
455C2×C42C22×D1111yescharacteristic
456#107—222no—
457#107—441no—
458#102—222no—
459#102—441no—
460#102—441no—
461#102—441no—
462C22⋊C8—222no—
463C22⋊C8—441no—
464C22⋊C8—441no—
465#95—21no—
466#95—21no—
467#95—221no—
468#95—221no—
469#95—221no—
470#95—221no—
471#95—221no—
472C2×C11—24no—
473C2×C11—81no—
474C2×C11—161no—
475C2×C11#244411yescharacteristic
476C2×C11C2×#48211yescharacteristic
477C2×C11#309811yescharacteristic
478C2×C11#329711yescharacteristic
479C2×C11#330011yescharacteristic
480C2×C11#330811yescharacteristic
481C2×C11#331811yescharacteristic
482C24—21no—
483C24C2×C22⋊D1111yescharacteristic
484C24C2×C22⋊D1111yescharacteristic
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—81no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—81no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—442no—
521C22×C4—442no—
522C22×C4—881no—
523C22×C4#434112yes—
524C22×C4#434112yes—
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C22×C4C2×C22⋊D1111yescharacteristic
529C22×C4C23×D1111yescharacteristic
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—444no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—112no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—221no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4—442no—
560C4⋊C4#434112yes—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—81no—
568C22⋊C4—442no—
569C22⋊C4—442no—
570C22⋊C4—881no—
571C42—21no—
572C42—21no—
573C42—442no—
574C42—881no—
575C11#2620811yescharacteristic, complemented, Sylow
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23#6698512yes—
595C23#6698812yes—
596C23#6700312yes—
597C23C22×C22⋊D1111yescharacteristic
598D4—44no—
599D4—41no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—84no—
604D4—84no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—222no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—884no—
647C2×C4#6698812yes—
648C2×C4C2×#434111yescharacteristic
649C2×C4C2×#434111yescharacteristic
650C2×C4C2×#434111yescharacteristic
651C2×C4#6703711yescharacteristic
652C2×C4#41×D1111yescharacteristic
653C2×C4#6704211yescharacteristic
654C8—441no—
655C8—441no—
656C8—441no—
657C8—441no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22#1062264814yes—
679C22C2×#6698511yescharacteristic
680C22C2×#6698811yescharacteristic
681C22#1062333711yescharacteristic
682C22C2×#6700311yescharacteristic
683C22#1062336011yescharacteristic
684C22#1062336611yescharacteristic
685C22#1062336911yescharacteristic
686C4—22no—
687C4—41no—
688C4—42no—
689C4—41no—
690C4—41no—
691C4—81no—
692C4—81no—
693C4—442no—
694C4—881no—
695C4—881no—
696C4—881no—
697C4#1062313111yescharacteristic
698C4#1062313211yescharacteristic
699C4#1062314811yescharacteristic
700C4#1062314911yescharacteristic
701C2—24no—
702C2—81no—
703C2—161no—
704C2#1307236211yescharacteristic
705C2C2×#1062264811yescharacteristic
706C2#1307859011yescharacteristic
707C2#1308046011yescharacteristic
708C2#1308050311yescharacteristic
709C2#1308060111yescharacteristic
710C2#1308075711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2416C2
socleC23×C11C22×D4
hypercenter#2416D11
hypocenterC11#26208
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. #13071545C2semidirect
2. #13070184C2semidirect
3. #13070047C2semidirect
4. #13070029C2semidirect
5. #13069795C2semidirect
6. #13069233C2semidirect
7. #13069205C2semidirect
8. #13069045C2semidirect
9. #13068939C2semidirect
10. #13068934C2semidirect
11. #13068909C2semidirect
12. #13068804C2semidirect
13. #13068708C2semidirect
14. C2×#10622167C2semidirect
575. C11#26208semidirect

Maximal subgroups

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

subgroupindex
#130715452
#130701842
#130700472
#130700292
#130697952
#130692332
#130692052
#130690452
#130689392
#130689342
#130689092
#130688042
#130687082
C2×#106221672
C11×#24162
#2620811