Finite Group Databasebeta

← #14770679

Subgroups — #14770679

Order 2816.

1058 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
1Q8×#4318C211yesmaximal, characteristic, complemented
2#13071094C211yesmaximal, characteristic, complemented
3#13069536C211yesmaximal, characteristic, complemented
4#13069536C212yesmaximal, complemented
5#13069449C212yesmaximal, complemented
6#13069445C211yesmaximal, characteristic, complemented
7#13068636C211yesmaximal, characteristic, complemented
8#13068636C212yesmaximal, complemented
9#13068426C212yesmaximal, complemented
10C4×#66901C211yesmaximal, characteristic, complemented
11C11×#3480C211yesmaximal, characteristic
12C11×#559C412yescomplemented
13C11×#559C411yescharacteristic, complemented
14C11×#557C411yescharacteristic, complemented
15C11×#556C411yescharacteristic, complemented
16C11×#556C412yescomplemented
17C11×#553—22no—
18C11×#553—21no—
19C11×#550C411yescharacteristic, complemented
20C11×#548—21no—
21C11×#532C2211yescharacteristic
22C11×#532C2212yes—
23C11×#529—21no—
24C11×#529—22no—
25C4×C11×#41—21no—
26C4×C11×#41C2211yescharacteristic
27C4×C11×#41C2212yes—
28C2×C4×Q8×C11C2211yescharacteristic
29C2×#66901C2211yescharacteristic
30C2×#66901C2211yescharacteristic
31C2×#66901C2212yes—
32C2×#66901C2212yes—
33C2×#66901C2212yes—
34C2×#66901C2212yes—
35C2×#66901C2212yes—
36#10622843—21no—
37#10622637—21no—
38#10622637—22no—
39Q8×C11⋊C8—21no—
40#10622598—21no—
41#10622594—22no—
42C4×C4⋊Dic11C2212yes—
43C4×C4⋊Dic11C2211yescharacteristic
44#10622545C2212yes—
45C42×Dic11C2211yescharacteristic
46#10622537C2211yescharacteristic
47#10622537C2212yes—
48C4×#4318C2211yescharacteristic
49C4×#4318C2212yes—
50#10622170C2211yescharacteristic
51#10622170C2212yes—
52#10622170C2211yescharacteristic
53C2×C11×#41—21no—
54C2×C11×#41C2311yescharacteristic
55C2×C11×#41C2312yes—
56C22×Q8×C11D411yescharacteristic
57C11×C4⋊Q8C2×C411yescharacteristic
58C11×C4⋊Q8C2×C412yes—
59C11×#127C2×C411yescharacteristic
60C11×#127C2×C412yes—
61C11×#126—22no—
62C11×#126—22no—
63C11×#126—22no—
64C11×#125—22no—
65C11×#125—21no—
66C11×#124—21no—
67C11×#124—22no—
68C11×#124C2×C412yes—
69C11×#124C2×C412yes—
70C11×#124C2×C412yes—
71C11×#123—22no—
72C11×#123—22no—
73C11×#123—22no—
74C11×C22⋊Q8—21no—
75C11×C22⋊Q8—22no—
76C11×#121—21no—
77C11×#121—22no—
78C11×#121—21no—
79C11×#121—22no—
80C11×#121—22no—
81C11×#121—21no—
82C4×Q8×C11—21no—
83C4×Q8×C11C2×C411yescharacteristic
84C4×Q8×C11C2×C412yes—
85C4×Q8×C11C2×C411yescharacteristic
86C4×Q8×C11C2×C412yes—
87C4×Q8×C11C2×C411yescharacteristic
88C4×Q8×C11C2×C411yescharacteristic
89C4×Q8×C11C2×C412yes—
90C4×Q8×C11D411yescharacteristic
91C4×Q8×C11D411yescharacteristic
92C4×Q8×C11D412yes—
93C4×D4×C11—21no—
94C4×D4×C11—22no—
95C4×D4×C11—21no—
96C4×D4×C11—22no—
97C4×D4×C11—22no—
98C4×D4×C11—21no—
99C4×D4×C11—21no—
100C4×D4×C11—22no—
101C4×D4×C11—22no—
102C4×D4×C11—21no—
103C4×D4×C11C2×C411yescharacteristic
104C4×D4×C11C2×C412yes—
105C4×D4×C11C2×C411yescharacteristic
106C4×D4×C11C2×C412yes—
107C11×#117—22no—
108C11×#117—21no—
109C11×#117—22no—
110C11×#117—21no—
111C11×#117C2311yescharacteristic
112C2×C11×C4⋊C4D412yes—
113C2×C11×C4⋊C4D411yescharacteristic
114C2×C42×C11—21no—
115C2×C42×C11—22no—
116C2×C42×C11C2311yescharacteristic
117C2×C42×C11C2312yes—
118C2×C4⋊Dic11—21no—
119C2×C4⋊Dic11—22no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11—21no—
122C2×C4×Dic11C2311yescharacteristic
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2311yescharacteristic
125C2×#4318C2311yescharacteristic
126C2×#4318C2312yes—
127C2×#4318C2311yescharacteristic
128#66901—22no—
129#66901—24no—
130#66901—22no—
131#66901—24no—
132#66901—42no—
133#66901—42no—
134#66901—42no—
135C11⋊#95—22no—
136C11⋊#95—22no—
137C11⋊#95—22no—
138C11⋊#95—21no—
139C4⋊(C11⋊C8)—21no—
140C4⋊(C11⋊C8)—22no—
141C4⋊(C11⋊C8)—22no—
142C4⋊(C11⋊C8)—21no—
143#66867—22no—
144#66867—21no—
145C4×C11⋊C8—21no—
146C4×C11⋊C8—22no—
147#22551—111nomaximal, Sylow
148C11×#41—21no—
149C11×#41—22no—
150C11×#41—21no—
151C11×#41—22no—
152C11×#41—22no—
153C11×#41—21no—
154C11×#41—21no—
155C11×#41—22no—
156C11×#41—44no—
157C2×Q8×C11—42no—
158C2×Q8×C11C22⋊C411yescharacteristic
159C2×Q8×C11C22⋊C411yescharacteristic
160C2×Q8×C11C22⋊C412yes—
161C2×Q8×C11C22×C411yescharacteristic
162C2×Q8×C11C22×C412yes—
163C2×D4×C11—21no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—22no—
168C2×D4×C11—21no—
169C2×D4×C11C22×C411yescharacteristic
170C2×D4×C11C22×C412yes—
171C22×C4×C11—22no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—22no—
175C22×C4×C11—21no—
176C22×C4×C11—22no—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D412yes—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D412yes—
181C22×C4×C11C2411yescharacteristic
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11—22no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—22no—
189C11×C4⋊C4—22no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4C22⋊C412yes—
194C11×C4⋊C4C22⋊C411yescharacteristic
195C11×C4⋊C4C22⋊C412yes—
196C11×C4⋊C4C22⋊C411yescharacteristic
197C11×C4⋊C4C22⋊C412yes—
198C11×C4⋊C4C22⋊C412yes—
199C11×C4⋊C4C22⋊C412yes—
200C11×C4⋊C4C22×C411yescharacteristic
201C11×C4⋊C4C22×C411yescharacteristic
202C11×C22⋊C4—21no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—22no—
205C11×C22⋊C4—22no—
206C11×C22⋊C4—22no—
207C11×C22⋊C4—21no—
208C11×C22⋊C4—21no—
209C11×C22⋊C4—22no—
210C11×C22⋊C4—22no—
211C11×C22⋊C4—22no—
212C11×C22⋊C4—22no—
213C42×C11—21no—
214C42×C11—22no—
215C42×C11—22no—
216C42×C11—21no—
217C42×C11—21no—
218C42×C11C22×C411yescharacteristic
219C42×C11C22×C412yes—
220C42×C11C22×C412yes—
221C42×C11C22×C411yescharacteristic
222C42×C11C2×D411yescharacteristic
223C42×C11C2×D412yes—
224C42×C11C2×D412yes—
225C42×C11C2×D411yescharacteristic
226C4⋊Dic11—42no—
227C4⋊Dic11—44no—
228C4×Dic11—21no—
229C4×Dic11—22no—
230C4×Dic11—21no—
231C4×Dic11—22no—
232C4×Dic11—21no—
233C4×Dic11—42no—
234C4×Dic11—42no—
235C4×Dic11#4112yescomplemented
236#4318—21no—
237#4318—22no—
238#4318—22no—
239#4318—21no—
240#4318—21no—
241#4318#4112yescomplemented
242C2×C11⋊C8—21no—
243C2×C11⋊C8—21no—
244C2×C11⋊C8—22no—
245#3480D1111yescharacteristic
246Q8×M16—111no—
247#2295—111no—
248#1980—111no—
249#1980—112no—
250#1963—112no—
251#1962—111no—
252#1806—111no—
253#1806—112no—
254#1759—112no—
255C4×#104—111no—
256C23×C11—22no—
257C23×C11—21no—
258C23×C11C22×D411yescharacteristic
259Q8×C11—22no—
260Q8×C11—22no—
261Q8×C11—21no—
262Q8×C11—22no—
263Q8×C11—21no—
264Q8×C11—22no—
265Q8×C11—42no—
266D4×C11—21no—
267D4×C11—22no—
268D4×C11—21no—
269D4×C11—22no—
270D4×C11—44no—
271D4×C11—41no—
272D4×C11—42no—
273D4×C11—41no—
274D4×C11—42no—
275D4×C11—42no—
276D4×C11—81no—
277D4×C11—82no—
278C2×C4×C11—22no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—41no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—44no—
287C2×C4×C11—41no—
288C2×C4×C11—42no—
289C2×C4×C11—41no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—81no—
293C2×C4×C11—82no—
294C2×C4×C11C2×C22⋊C411yescharacteristic
295C2×C4×C11C2×C22⋊C412yes—
296C2×C4×C11C2×C22⋊C412yes—
297C2×C4×C11C2×C22⋊C411yescharacteristic
298C2×C4×C11C2×C22⋊C412yes—
299C2×C4×C11C2×C22⋊C412yes—
300C2×C4×C11C2×C22⋊C411yescharacteristic
301C2×C4×C11C2×C22⋊C411yescharacteristic
302C2×C4×C11C23×C411yescharacteristic
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C112−1+411yescharacteristic
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C11⋊C8—22no—
318C11⋊C8—41no—
319C11⋊C8—42no—
320#559Dic1112yescomplemented
321#559Dic1111yescharacteristic, complemented
322#557Dic1111yescharacteristic, complemented
323#556Dic1111yescharacteristic, complemented
324#556Dic1112yescomplemented
325#553—22no—
326#553—21no—
327#550Dic1111yescharacteristic, complemented
328#548—21no—
329#532C2×D1111yescharacteristic
330#532C2×D1112yes—
331#529—21no—
332#529—22no—
333C4×#41—21no—
334C4×#41C2×D1111yescharacteristic
335C4×#41C2×D1112yes—
336C2×C4×Q8C2×D1111yescharacteristic
337#446—221no—
338#446—222no—
339C8×Q8—221no—
340#423—111no—
341#423—112no—
342C2×#104—112no—
343C2×#104—111no—
344C2×#104—111no—
345C2×#104—112no—
346C2×#104—112no—
347C2×#104—112no—
348C2×#104—112no—
349C4×M16—111no—
350C4×M16—112no—
351#391—221no—
352#389—221no—
353#387—222no—
354C4×C4⋊C4—111no—
355C4×C4⋊C4—112no—
356#376—112no—
357C43—111no—
358#339—111no—
359#339—112no—
360#339—111no—
361C22×C11—21no—
362C22×C11—21no—
363C22×C11—42no—
364C22×C11—41no—
365C22×C11—42no—
366C22×C11—41no—
367C22×C11—42no—
368C22×C11—41no—
369C22×C11C22×C22⋊C411yescharacteristic
370C22×C11#54811yescharacteristic
371C22×C11#55011yescharacteristic
372C4×C11—21no—
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—21no—
376C4×C11—22no—
377C4×C11—21no—
378C4×C11—22no—
379C4×C11—42no—
380C4×C11—41no—
381C4×C11—41no—
382C4×C11—41no—
383C4×C11#42112yes—
384C4×C11C4×#4111yescharacteristic
385C4×C11#52011yescharacteristic
386C4×C11#54811yescharacteristic
387C4×C11#55011yescharacteristic
388Dic11—42no—
389Dic11—42no—
390Dic11—82no—
391C2×#41—21no—
392C2×#41C22×D1111yescharacteristic
393C2×#41C22×D1112yes—
394C22×Q8C22⋊D1111yescharacteristic
395C2×M16—111no—
396C2×M16—111no—
397C2×M16—112no—
398C4⋊Q8C2×Dic1111yescharacteristic
399C4⋊Q8C2×Dic1112yes—
400#127C2×Dic1111yescharacteristic
401#127C2×Dic1112yes—
402#126—22no—
403#126—22no—
404#126—22no—
405#125—22no—
406#125—21no—
407#124—21no—
408#124—22no—
409#124C2×Dic1112yes—
410#124C2×Dic1112yes—
411#124C2×Dic1112yes—
412#123—22no—
413#123—22no—
414#123—22no—
415C22⋊Q8—21no—
416C22⋊Q8—22no—
417#121—21no—
418#121—22no—
419#121—21no—
420#121—22no—
421#121—22no—
422#121—21no—
423C4×Q8—21no—
424C4×Q8C2×Dic1111yescharacteristic
425C4×Q8C2×Dic1112yes—
426C4×Q8C2×Dic1111yescharacteristic
427C4×Q8C2×Dic1112yes—
428C4×Q8C2×Dic1111yescharacteristic
429C4×Q8C2×Dic1111yescharacteristic
430C4×Q8C2×Dic1112yes—
431C4×Q8C22⋊D1111yescharacteristic
432C4×Q8C22⋊D1111yescharacteristic
433C4×Q8C22⋊D1112yes—
434C4×D4—21no—
435C4×D4—22no—
436C4×D4—21no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—21no—
444C4×D4C2×Dic1111yescharacteristic
445C4×D4C2×Dic1112yes—
446C4×D4C2×Dic1111yescharacteristic
447C4×D4C2×Dic1112yes—
448#117—22no—
449#117—21no—
450#117—22no—
451#117—21no—
452#117C22×D1111yescharacteristic
453C2×C4⋊C4—222no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4C22⋊D1112yes—
456C2×C4⋊C4C22⋊D1111yescharacteristic
457C2×C42—21no—
458C2×C42—22no—
459C2×C42—111no—
460C2×C42—111no—
461C2×C42—112no—
462C2×C42—221no—
463C2×C42—221no—
464C2×C42C22×D1111yescharacteristic
465C2×C42C22×D1112yes—
466C4⋊C8—221no—
467C4⋊C8—222no—
468C4⋊C8—222no—
469C4⋊C8—221no—
470#104—224no—
471#104—222no—
472#104—222no—
473#104—224no—
474#104—442no—
475#104—442no—
476#104—442no—
477#97—222no—
478#97—221no—
479C4×C8—221no—
480C4×C8—222no—
481#95—222no—
482#95—222no—
483#95—221no—
484#95—222no—
485C2×C11—21no—
486C2×C11—21no—
487C2×C11—82no—
488C2×C11—81no—
489C2×C11#234111yescharacteristic
490C2×C11C2×#42111yescharacteristic
491C2×C11#290111yescharacteristic
492#41—21no—
493#41—22no—
494#41—22no—
495#41—21no—
496#41—22no—
497#41—21no—
498#41—21no—
499#41—22no—
500#41—44no—
501C2×Q8—42no—
502C2×Q8C22⋊Dic1111yescharacteristic
503C2×Q8C22⋊Dic1111yescharacteristic
504C2×Q8C22⋊Dic1112yes—
505C2×Q8C22×Dic1111yescharacteristic
506C2×Q8C22×Dic1112yes—
507C2×D4—21no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4C22×Dic1111yescharacteristic
514C2×D4C22×Dic1112yes—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—222no—
524C22×C4C2×C22⋊D1111yescharacteristic
525C22×C4C2×C22⋊D1112yes—
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1112yes—
528C22×C4C23×D1111yescharacteristic
529M16—112no—
530M16—221no—
531M16—222no—
532M16—221no—
533M16—222no—
534M16—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—222no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—442no—
547C4⋊C4—444no—
548C4⋊C4C22⋊Dic1112yes—
549C4⋊C4C22⋊Dic1111yescharacteristic
550C4⋊C4C22⋊Dic1112yes—
551C4⋊C4C22⋊Dic1111yescharacteristic
552C4⋊C4C22⋊Dic1112yes—
553C4⋊C4C22⋊Dic1112yes—
554C4⋊C4C22⋊Dic1112yes—
555C4⋊C4C22×Dic1111yescharacteristic
556C4⋊C4C22×Dic1111yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C42—21no—
569C42—22no—
570C42—22no—
571C42—21no—
572C42—21no—
573C42—112no—
574C42—221no—
575C42—221no—
576C42—222no—
577C42—221no—
578C42—222no—
579C42—442no—
580C42—442no—
581C42C22×Dic1111yescharacteristic
582C42C22×Dic1112yes—
583C42C22×Dic1112yes—
584C42C22×Dic1111yescharacteristic
585C42C2×C22⋊D1111yescharacteristic
586C42C2×C22⋊D1112yes—
587C42C2×C22⋊D1112yes—
588C42C2×C22⋊D1111yescharacteristic
589C11#2255111yescharacteristic, complemented, Sylow
590C23—22no—
591C23—21no—
592C23C22×C22⋊D1111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—21no—
596Q8—22no—
597Q8—21no—
598Q8—22no—
599Q8—42no—
600D4—21no—
601D4—22no—
602D4—21no—
603D4—22no—
604D4—44no—
605D4—41no—
606D4—42no—
607D4—41no—
608D4—42no—
609D4—42no—
610D4—81no—
611D4—82no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—44no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—81no—
627C2×C4—82no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—442no—
635C2×C4—442no—
636C2×C4—442no—
637C2×C4C2×C22⋊Dic1111yescharacteristic
638C2×C4C2×C22⋊Dic1112yes—
639C2×C4C2×C22⋊Dic1112yes—
640C2×C4C2×C22⋊Dic1111yescharacteristic
641C2×C4C2×C22⋊Dic1112yes—
642C2×C4C2×C22⋊Dic1112yes—
643C2×C4C2×C22⋊Dic1111yescharacteristic
644C2×C4C2×C22⋊Dic1111yescharacteristic
645C2×C4#41×D1111yescharacteristic
646C2×C4#41×D1111yescharacteristic
647C2×C4#6704211yescharacteristic
648C2×C4#6704311yescharacteristic
649C2×C4C23×Dic1111yescharacteristic
650C2×C4C22×C22⋊D1111yescharacteristic
651C8—222no—
652C8—441no—
653C8—442no—
654C22—21no—
655C22—21no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—41no—
660C22—42no—
661C22—41no—
662C22#1062336211yescharacteristic
663C22#1062336511yescharacteristic
664C22C22×C22⋊Dic1111yescharacteristic
665C4—21no—
666C4—22no—
667C4—22no—
668C4—21no—
669C4—22no—
670C4—21no—
671C4—22no—
672C4—42no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—442no—
677C4—442no—
678C4—882no—
679C4#1062284912yes—
680C4#41×Dic1111yescharacteristic
681C4#1062335811yescharacteristic
682C4#1062336211yescharacteristic
683C4#1062336511yescharacteristic
684C2—21no—
685C2—21no—
686C2—82no—
687C2—81no—
688C2#1307145711yescharacteristic
689C2C2×#1062284911yescharacteristic
690C2#1307716311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#3480C2
socleC22×C11C22×C22⋊C4
cosocleC22×C4×C11C24
hypercenter#3480D11
hypocenterC11#22551
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C4×Q8 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. Q8×#4318C2semidirect
2. #13071094C2semidirect
3. #13069536C2semidirect
4. #13069536C2semidirect
5. #13069449C2semidirect
6. #13069445C2semidirect
7. #13068636C2semidirect
8. #13068636C2semidirect
9. #13068426C2semidirect
10. C4×#66901C2semidirect
12. C11×#559C4semidirect
13. C11×#559C4semidirect
14. C11×#557C4semidirect
15. C11×#556C4semidirect
16. C11×#556C4semidirect
19. C11×#550C4semidirect
235. C4×Dic11#41semidirect
241. #4318#41semidirect
320. #559Dic11semidirect
321. #559Dic11semidirect
322. #557Dic11semidirect
323. #556Dic11semidirect
324. #556Dic11semidirect
327. #550Dic11semidirect
589. C11#22551semidirect

Maximal subgroups

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

subgroupindex
Q8×#43182
#130710942
#130695362
#130694492
#130694452
#130686362
#130684262
C4×#669012
C11×#34802
#2255111