Finite Group Databasebeta

← #14760354

Subgroups — #14760354

Order 2816.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622661C211yesmaximal, characteristic
2C2×#10622639C211yesmaximal, characteristic, complemented
3C22×#66867C211yesmaximal, characteristic, complemented
4C4×#66983C211yesmaximal, characteristic
5#13069500C211yesmaximal, characteristic, complemented
6#13069356C211yesmaximal, characteristic, complemented
7#13069312C211yesmaximal, characteristic, complemented
8#13069309C211yesmaximal, characteristic, complemented
9#13069042C211yesmaximal, characteristic
10#13069040C211yesmaximal, characteristic, complemented
11#13068643C211yesmaximal, characteristic, complemented
12#13068514C211yesmaximal, characteristic, complemented
13#13068446C211yesmaximal, characteristic, complemented
14#13068444C211yesmaximal, characteristic, complemented
15C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C22×#4325C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C2×C4×C22⋊D11—21no—
22C23×C11⋊C8C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C2×C4×D44C2211yescharacteristic
25C11×#391C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#387—21no—
28C11×#385—21no—
29C11×#380C2211yescharacteristic
30C4×C11×C4⋊C4—21no—
31C4×C11×C4⋊C4C2211yescharacteristic
32C4×C11×C22⋊C4—21no—
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36#10622826—21no—
37#10622825C2211yescharacteristic
38#10622661C418yescomplemented
39#10622639—24no—
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622553—21no—
47#10622552C2211yescharacteristic
48C4×(C2×D11)⋊C4—21no—
49C4×C4⋊Dic11C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×#66867—24no—
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54C2×#66867C2211yescharacteristic
55C2×#66867C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C23×C4×C11D411yescharacteristic
64C23×C4×C11D411yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C22×C22⋊D11—21no—
67C22×D44C2311yescharacteristic
68C22×C4×D11—21no—
69C11×C22⋊Q8—22no—
70C11×C22⋊Q8C2×C414yescomplemented
71C4×Q8×C11—22no—
72C4×Q8×C11—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C42×C11—22no—
82C2×C42×C11—22no—
83C2×C42×C11—21no—
84C2×C42×C11—21no—
85C2×C42×C11D411yescharacteristic
86C2×C42×C11D411yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×#4325—22no—
91C2×#4325—22no—
92C2×#4325C2×C414yescomplemented
93#66983—22no—
94#66983C2×C414yes—
95C4×C22⋊D11—44no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×Dic11⋊C4—21no—
104C2×C4×Dic11—21no—
105C22×C11⋊C8—22no—
106C22×C11⋊C8—22no—
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8—22no—
110C22×C11⋊C8C2×C414yescomplemented
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C4×D44—22no—
116C4×D44—22no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122#66899—22no—
123#66899—22no—
124#66899C2×C414yescomplemented
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66873—22no—
129#66873—22no—
130#66873C2×C414yescomplemented
131#66872C2×C414yescomplemented
132#66871—22no—
133#66871—22no—
134#66867—22no—
135#66867—22no—
136#66867—22no—
137#66867D414yescomplemented
138#21528—111nomaximal, Sylow
139C24×C11C2×D411yescharacteristic
140C23×D11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11C22×C412yes—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—41no—
160C22×C4×C11—41no—
161C22×C4×C11C22×C412yes—
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11#4112yes—
168C22×C4×C11C2411yescharacteristic
169C2×C22⋊D11—24no—
170C2×C22⋊D11—42no—
171C2×C22⋊D11—42no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C11×C4⋊C4—24no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—42no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4C22×C412yes—
193C11×C22⋊C4—24no—
194C11×C22⋊C4—42no—
195C42×C11—22no—
196C42×C11—22no—
197C42×C11—21no—
198C42×C11—21no—
199C42×C11—42no—
200C42×C11—42no—
201C42×C11C2×D412yes—
202C42×C11#4112yes—
203C22⋊Dic11—42no—
204#4325—28no—
205(C2×D11)⋊C4—24no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11C22×C412yes—
215Dic11⋊C4—42no—
216C4×Dic11—42no—
217C2×C11⋊C8—28no—
218C2×C11⋊C8—28no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8C22×C412yes—
226C2×C11⋊C8C22×C412yes—
227C2×C11⋊C8C2×D412yes—
228C2×C11⋊C8C2×D412yes—
229C2×C11⋊C8#4112yes—
230C2×C11⋊C8#4112yes—
231C2×#465—111no—
232C2×#440—111no—
233C22×#97—111no—
234C4×C22⋊Q8D1111yescharacteristic, complemented
235C4×#121—111no—
236#1973—111no—
237#1944—111no—
238#1936—111no—
239#1935—111no—
240#1893—111no—
241#1892—111no—
242#1808—111no—
243#1776—111no—
244#1763—111no—
245#1762—111no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11C4×D412yes—
251C23×C11AGL(1,ℤ/8)12yes—
252C23×C11#13712yes—
253C23×C11C22×D411yescharacteristic
254C22×D11—22no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261Q8×C11—22no—
262Q8×C11—22no—
263Q8×C11—41no—
264Q8×C11—41no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
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—44no—
284C2×C4×C11—44no—
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—41no—
294C2×C4×C11—41no—
295C2×C4×C11C4×D412yes—
296C2×C4×C11#12112yes—
297C2×C4×C11#12112yes—
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C22⋊D11—48no—
305C2×Dic11—22no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314D44—22no—
315D44—22no—
316D44—41no—
317D44—41no—
318C4×D11—84no—
319C11⋊C8—22no—
320C11⋊C8—22no—
321C11⋊C8—22no—
322C11⋊C8C4×D414yescomplemented
323C22×SD16—111no—
324C23×C8—111no—
325C23×C8—111no—
326C2×C22⋊Q8C2×D1111yescharacteristic
327C2×#121—111no—
328C2×C4×Q8C2×D1111yescharacteristic
329C2×C4×D4—111no—
330C2×C4×D4—221no—
331C22×C42C2×D1111yescharacteristic
332#465—118no—
333#440—224no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#106—111no—
337C2×#103—111no—
338C2×#103—111no—
339C2×#103—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#97—111no—
344C2×#97—111no—
345C2×#97—111no—
346C2×#97—111no—
347C2×#97—224no—
348#391C2×D1111yescharacteristic
349#390—111no—
350#389—111no—
351#389C2×D1111yescharacteristic
352#388—221no—
353#387—21no—
354#386—221no—
355#385—21no—
356#380—111no—
357#380C2×D1111yescharacteristic
358C4×C4⋊C4—21no—
359C4×C4⋊C4—111no—
360C4×C4⋊C4C2×D1111yescharacteristic
361C4×C22⋊C4—21no—
362C4×C22⋊C4—221no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11#44014yescomplemented
376C22×C11C2×C4×D411yescharacteristic
377C22×C11C2×#12111yescharacteristic
378C22×C11#53211yescharacteristic
379C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C11C2×#13711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57511yescharacteristic
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—42no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—42no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11C2×C4×D411yescharacteristic
400C4×C11C4×#4111yescharacteristic
401C4×C11#52511yescharacteristic
402C4×C11#52911yescharacteristic
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406C22×Q8C22×D1111yescharacteristic
407C22×D4—111no—
408C22×D4—221no—
409C23×C4—221no—
410C23×C4C22⋊D1111yescharacteristic
411C23×C4C22⋊D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C2×SD16—114no—
414C2×SD16—222no—
415C2×SD16—222no—
416C22×C8—111no—
417C22×C8—114no—
418C22×C8—111no—
419C22×C8—111no—
420C22×C8—111no—
421C22×C8—222no—
422C22×C8—222no—
423C22×C8—222no—
424C22×C8—222no—
425C22×C8—222no—
426C22⋊Q8—22no—
427C22⋊Q8C4×D1114yescomplemented
428#121—114no—
429#121—222no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×D4—222no—
433C4×D4—222no—
434C4×D4—444no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—221no—
457C2×C42C22⋊D1111yescharacteristic
458C2×C42C22⋊D1111yescharacteristic
459C2×C42C22×D1111yescharacteristic
460C2×C42C22×D1111yescharacteristic
461#107—222no—
462#107—222no—
463#106—114no—
464#103—114no—
465#103—222no—
466#103—222no—
467#102—114no—
468#102—222no—
469#102—222no—
470#97—114no—
471#97—222no—
472#97—222no—
473#97—222no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11—24no—
483C2×C11C4×#12111yescharacteristic
484C2×C11C2×#44011yescharacteristic
485C2×C11#294311yescharacteristic
486C2×C11#305511yescharacteristic
487C2×C11#305611yescharacteristic
488C2×C11#318011yescharacteristic
489C2×C11#318111yescharacteristic
490D11—82no—
491C24—221no—
492C24C2×C22⋊D1111yescharacteristic
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8C2×C4×D1112yes—
499C2×D4—112no—
500C2×D4—224no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—221no—
506C2×D4—442no—
507C2×D4—442no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—442no—
526C22×C4—442no—
527C22×C4—442no—
528C22×C4C2×C4×D1112yes—
529C22×C4#433912yes—
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C2×C22⋊D1111yescharacteristic
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C2×C22⋊D1111yescharacteristic
534C22×C4C2×C22⋊D1111yescharacteristic
535C22×C4C23×D1111yescharacteristic
536SD16—228no—
537C2×C8—112no—
538C2×C8—112no—
539C2×C8—112no—
540C2×C8—112no—
541C2×C8—112no—
542C2×C8—112no—
543C2×C8—228no—
544C2×C8—228no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—112no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—442no—
566C4⋊C4C2×C4×D1112yes—
567C22⋊C4—24no—
568C22⋊C4—42no—
569C22⋊C4—224no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—42no—
580C42—442no—
581C42D4×D1112yes—
582C42#434112yes—
583C11#2152811yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—222no—
589C23—441no—
590C23—441no—
591C23—441no—
592C23—441no—
593C23—441no—
594C23—441no—
595C23C4×C22⋊D1112yes—
596C23#6699512yes—
597C23#6700212yes—
598C23C22×C22⋊D1111yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—222no—
604D4—222no—
605D4—448no—
606D4—441no—
607D4—441no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—222no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—884no—
648C2×C4C4×C22⋊D1112yes—
649C2×C4#6699212yes—
650C2×C4#6699212yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C2×#433911yescharacteristic
653C2×C4C2×D4×D1111yescharacteristic
654C2×C4C2×#434111yescharacteristic
655C2×C4#41×D1111yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C8—114no—
658C8—222no—
659C8—222no—
660C8—222no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—442no—
668C22—442no—
669C22—442no—
670C22—881no—
671C22—881no—
672C22—881no—
673C22—881no—
674C22#1062263914yescomplemented
675C22C2×C4×C22⋊D1111yescharacteristic
676C22C2×#6699211yescharacteristic
677C22C2×#6699511yescharacteristic
678C22C2×#6700211yescharacteristic
679C22#1062335311yescharacteristic
680C22#1062335311yescharacteristic
681C22#1062336311yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—41no—
688C4—41no—
689C4—81no—
690C4—81no—
691C4—442no—
692C4—881no—
693C4—881no—
694C4C4×#434111yescharacteristic
695C4#1062306911yescharacteristic
696C4C4×D4×D1111yescharacteristic
697C4#1062307811yescharacteristic
698C2—24no—
699C2—882no—
700C2C4×#6699211yescharacteristic
701C2C2×#1062263911yescharacteristic
702C2#1307741411yescharacteristic
703C2#1307823711yescharacteristic
704C2#1307824211yescharacteristic
705C2#1307931511yescharacteristic
706C2#1307931911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC4×C11×C22⋊Q8C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
cosocleC22×C4×C11C24
hypercenterC4×C22⋊Q8D11
hypocenterC11#21528
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×#10622639C2semidirect
3. C22×#66867C2semidirect
5. #13069500C2semidirect
6. #13069356C2semidirect
7. #13069312C2semidirect
8. #13069309C2semidirect
10. #13069040C2semidirect
11. #13068643C2semidirect
12. #13068514C2semidirect
13. #13068446C2semidirect
14. #13068444C2semidirect
15. C4×C11×C22⋊Q8C2semidirect
38. #10622661C4semidirect
70. C11×C22⋊Q8C2×C4semidirect
92. C2×#4325C2×C4semidirect
110. C22×C11⋊C8C2×C4semidirect
124. #66899C2×C4semidirect
130. #66873C2×C4semidirect
131. #66872C2×C4semidirect
137. #66867D4semidirect
234. C4×C22⋊Q8D11semidirect
322. C11⋊C8C4×D4semidirect
375. C22×C11#440semidirect
427. C22⋊Q8C4×D11semidirect
583. C11#21528semidirect
674. C22#10622639semidirect

Maximal subgroups

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

subgroupindex
C2×#106226612
C2×#106226392
C22×#668672
C4×#669832
#130695002
#130693562
#130693122
#130693092
#130690422
#130690402
#130686432
#130685142
#130684462
#130684442
C4×C11×C22⋊Q82
#2152811