Finite Group Databasebeta

← #14770178

Subgroups — #14770178

Order 2816.

1130 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
1C2×#10623112C211yesmaximal, characteristic
2C2×#10622451C211yesmaximal, characteristic
3#13071542C211yesmaximal, characteristic
4#13069580C211yesmaximal, characteristic, complemented
5#13069571C211yesmaximal, characteristic, complemented
6#13069046C211yesmaximal, characteristic, complemented
7#13069046C211yesmaximal, characteristic, complemented
8#13068925C211yesmaximal, characteristic, complemented
9#13068920C211yesmaximal, characteristic, complemented
10#13068710C211yesmaximal, characteristic, complemented
11#13068705C211yesmaximal, characteristic, complemented
12C4×#66899C211yesmaximal, characteristic, complemented
13#13068334C211yesmaximal, characteristic, complemented
14#13068334C211yesmaximal, characteristic, complemented
15C11×#1805C211yesmaximal, characteristic, complemented
16C2×C4×Q8×C11C2211yescharacteristic
17C2×#66999C2211yescharacteristic
18C2×#66999C2211yescharacteristic
19C22×#4313C2211yescharacteristic
20C22×#4313C2211yescharacteristic
21#10623112—24no—
22#10623112C418yescomplemented
23C2×#66947—21no—
24C2×#66945C2211yescharacteristic
25C2×#66945C2211yescharacteristic
26C2×C4⋊C4×D11C2211yescharacteristic
27C2×C4⋊C4×D11C2211yescharacteristic
28C2×#66942—21no—
29C2×#66929—21no—
30C2×C4×D44C2211yescharacteristic
31C2×#66925—21no—
32C2×#66923C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C11×#382C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×(C2×D11)⋊C8C2211yescharacteristic
40C2×(C2×D11)⋊C8C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622600C2211yescharacteristic
43C4×C4⋊Dic11C2211yescharacteristic
44C2×C4×C11⋊C8C2211yescharacteristic
45#10622451—24no—
46#10622282—21no—
47#10622279—21no—
48#10622278—21no—
49#10622267—21no—
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52#10622189C2211yescharacteristic
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D44D411yescharacteristic
64C22×C4×D11—21no—
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C22×C4×D11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C4×Q8×C11—22no—
71C4×Q8×C11C2×C414yescomplemented
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C42×C11—21no—
77C2×C42×C11C2311yescharacteristic
78#66999—22no—
79#66999—22no—
80#66999C2×C414yes—
81#66999C2×C414yescomplemented
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4D411yescharacteristic
89C2×(C2×D11)⋊C4D411yescharacteristic
90C2×C4⋊Dic11D411yescharacteristic
91C2×C4⋊Dic11C2311yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×#4313—22no—
107C2×#4313—22no—
108C2×#4313—22no—
109C2×#4313—22no—
110C2×#4313—41no—
111C2×#4313—41no—
112#66947—28no—
113#66945—22no—
114#66945—22no—
115#66945—41no—
116#66945C2×C414yes—
117C4⋊C4×D11—22no—
118C4⋊C4×D11—22no—
119C4⋊C4×D11—41no—
120C4⋊C4×D11C2×C414yescomplemented
121#66942—28no—
122#66929—28no—
123C4×D44C2×C414yes—
124C4×D44D414yes—
125#66925—28no—
126#66923—22no—
127#66923C2×C414yescomplemented
128C11×C4⋊C8—22no—
129C11×#103—41no—
130C11×#103—41no—
131C11×#95—21no—
132C11×#95—21no—
133#66899—22no—
134#66899—22no—
135C11⋊#95—21no—
136C11⋊#95—21no—
137C11⋊#95—21no—
138(C2×D11)⋊C8—22no—
139(C2×D11)⋊C8—22no—
140C4×C11⋊C8—22no—
141#22499—111nomaximal, Sylow
142C23×D11C2×D411yescharacteristic
143C23×D11C2×D411yescharacteristic
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2411yescharacteristic
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C2×D44—41no—
164C2×D44—41no—
165C2×D44C22⋊C414yes—
166C2×C4×D11—24no—
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—21no—
172C2×C4×D11—21no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—42no—
176C2×C4×D11—42no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—81no—
180C2×C4×D11C22×C412yes—
181C2×C4×D11C22×C412yes—
182C2×C4×D11C2×D412yes—
183C2×C4×D11C2×D412yes—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4C22×C412yes—
197C42×C11—24no—
198C42×C11C22×C412yes—
199C42×C11C2×D412yes—
200(C2×D11)⋊C4—24no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—81no—
206(C2×D11)⋊C4C22⋊C414yes—
207(C2×D11)⋊C4C22⋊C414yes—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11C22⋊C414yes—
214C4⋊Dic11C22×C412yes—
215C4⋊Dic11C22×C412yes—
216C4⋊Dic11#4112yes—
217Dic11⋊C4—24no—
218Dic11⋊C4—24no—
219Dic11⋊C4—24no—
220Dic11⋊C4—24no—
221Dic11⋊C4—24no—
222Dic11⋊C4—42no—
223C4×Dic11—24no—
224C4×Dic11—42no—
225C4×Dic11—81no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8#4112yes—
232#4313—44no—
233#4313—44no—
234C2×#552—111no—
235C2×#436—111no—
236#2352—111no—
237#1991—111no—
238#1989—111no—
239#1894—111no—
240#1894—111no—
241#1873—111no—
242#1872—111no—
243#1825—111no—
244#1824—111no—
245#1805D1111yescharacteristic, complemented
246C4×#103—111no—
247#1736—111no—
248#1736—111no—
249C23×C11C22×D411yescharacteristic
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11C2×C22⋊C412yes—
263C22×D11C2×C22⋊C412yes—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—41no—
267Q8×C11—41no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11C2×C22⋊C412yes—
285C2×C4×C11C2×C22⋊C412yes—
286C2×C4×C11C23×C411yescharacteristic
287C2×C4×C11C22×D411yescharacteristic
288C2×C4×C11C2×#4111yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C2×C4×C11H(5,𝔽2)11yescharacteristic
291C2×C4×C112−1+411yescharacteristic
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11C2×C22⋊C412yes—
309C2×Dic11C2×C22⋊C412yes—
310D44—44no—
311C4×D11—22no—
312C4×D11—22no—
313C4×D11—22no—
314C4×D11—22no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—48no—
320C4×D11—84no—
321C8×C11—41no—
322C8×C11—41no—
323C11⋊C8—22no—
324C11⋊C8—41no—
325C22×M16—111no—
326C22×M16—111no—
327#552—118no—
328#552—224no—
329C2×#126—221no—
330C2×#125—111no—
331C2×#125—221no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8—111no—
335C2×C4×Q8C2×D1111yescharacteristic
336C2×C4×D4—111no—
337C2×#117—111no—
338C2×#117—111no—
339C2×#117—221no—
340C22×C4⋊C4—111no—
341C22×C4⋊C4—111no—
342#436—224no—
343C2×C4⋊C8C2×D1111yescharacteristic
344C2×#103—111no—
345C2×#103—111no—
346C2×#103C2×D1111yescharacteristic
347C2×#103C2×D1111yescharacteristic
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×C4×C8—111no—
351#388—221no—
352#387—221no—
353#386—221no—
354#382C2×D1111yescharacteristic
355#380—111no—
356#380—111no—
357C4×C4⋊C4—111no—
358C4×C22⋊C4—221no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340C2×D1111yescharacteristic
370#340C2×D1111yescharacteristic
371C22×C11C22×C22⋊C411yescharacteristic
372C22×C11#54611yescharacteristic
373C22×C11#54711yescharacteristic
374C22×C11#57511yescharacteristic
375C22×C11#57511yescharacteristic
376C22×C11#57711yescharacteristic
377C22×C11#57811yescharacteristic
378C2×D11—22no—
379C2×D11—22no—
380C2×D11—22no—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—22no—
384C2×D11—41no—
385C2×D11—41no—
386C2×D11—41no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—41no—
391C2×D11—41no—
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—81no—
397C4×C11—81no—
398C4×C11C4×#4111yescharacteristic
399C4×C11#52011yescharacteristic
400C4×C11#54611yescharacteristic
401C4×C11#54711yescharacteristic
402Dic11—22no—
403Dic11—22no—
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407Dic11—81no—
408C22×Q8C22×D1111yescharacteristic
409C22×D4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—221no—
413C23×C4—221no—
414C2×M16—222no—
415C2×M16—222no—
416C2×M16—222no—
417C2×M16—222no—
418C2×M16—441no—
419C2×M16—441no—
420C22×C8—111no—
421C22×C8—111no—
422C22×C8C22×D1111yescharacteristic
423C22×C8C22×D1111yescharacteristic
424#126—228no—
425#125—114no—
426#125—228no—
427#125—222no—
428#123—228no—
429C22⋊Q8—114no—
430C22⋊Q8—114no—
431C22⋊Q8—222no—
432C22⋊Q8—222no—
433C4×Q8—22no—
434C4×Q8C4×D1114yescomplemented
435C4×D4—114no—
436C4×D4—114no—
437#117—114no—
438#117—228no—
439#117—222no—
440#117—222no—
441#117—441no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—222no—
450C2×C4⋊C4—222no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—441no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C22⋊C4—111no—
462C2×C22⋊C4—111no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C42—21no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—22no—
475#103—41no—
476#103—41no—
477#103—222no—
478#103—222no—
479C22⋊C8—222no—
480C22⋊C8—222no—
481C4×C8—222no—
482#95—21no—
483#95—21no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11#233911yescharacteristic
488C2×C11#289611yescharacteristic
489C2×C11#289811yescharacteristic
490C2×C11#332311yescharacteristic
491C2×C11#332711yescharacteristic
492C2×C11#335111yescharacteristic
493C2×C11#335211yescharacteristic
494D11—42no—
495D11—42no—
496C24—111no—
497C24—111no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8C2×C4×D1112yes—
504C2×D4—114no—
505C2×D4—441no—
506C2×D4—441no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—111no—
512C22×C4—111no—
513C22×C4—112no—
514C22×C4—112no—
515C22×C4—112no—
516C22×C4—112no—
517C22×C4—224no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—881no—
535C22×C4D4×D1111yescharacteristic
536C22×C4D4×D1111yescharacteristic
537C22×C4C23×D1111yescharacteristic
538M16—444no—
539M16—444no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—112no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—114no—
559C4⋊C4—112no—
560C4⋊C4—112no—
561C4⋊C4—112no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—224no—
565C4⋊C4—224no—
566C4⋊C4—224no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—442no—
573C4⋊C4C2×C4×D1112yes—
574C22⋊C4—114no—
575C22⋊C4—114no—
576C22⋊C4—224no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—442no—
580C22⋊C4—442no—
581C22⋊C4—881no—
582C42—24no—
583C42—224no—
584C42—442no—
585C42—881no—
586C42C2×C4×D1112yes—
587C42D4×D1112yes—
588C11#2249911yescharacteristic, complemented, Sylow
589C23—112no—
590C23—112no—
591C23—221no—
592C23—221no—
593C23—221no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—221no—
601C23—221no—
602C23—221no—
603C23C2×D4×D1111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—444no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—112no—
626C2×C4—112no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—448no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—884no—
653C2×C4C22⋊C4×D1112yes—
654C2×C4C22⋊C4×D1112yes—
655C2×C4C22×C4×D1111yescharacteristic
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4#6703711yescharacteristic
658C2×C4#6704011yescharacteristic
659C2×C4#41×D1111yescharacteristic
660C2×C4#41×D1111yescharacteristic
661C8—41no—
662C8—41no—
663C8—222no—
664C8—441no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22—222no—
669C22—222no—
670C22—222no—
671C22—441no—
672C22—441no—
673C22—441no—
674C22—441no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22—441no—
679C22C2×C22⋊C4×D1111yescharacteristic
680C22#1062314311yescharacteristic
681C22#1062316211yescharacteristic
682C22#1062329911yescharacteristic
683C22#1062329911yescharacteristic
684C22#1062330911yescharacteristic
685C22#1062331011yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—222no—
693C4—222no—
694C4—442no—
695C4—442no—
696C4—442no—
697C4—881no—
698C4#1062303511yescharacteristic
699C4#1062305311yescharacteristic
700C4#1062314311yescharacteristic
701C4#1062316211yescharacteristic
702C2—442no—
703C2—442no—
704C2#1307144411yescharacteristic
705C2#1307713111yescharacteristic
706C2#1307714811yescharacteristic
707C2#1308083911yescharacteristic
708C2#1308089111yescharacteristic
709C2#1308117311yescharacteristic
710C2#1308118811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1805C2
socleC23×C11C22×D4
prime radicalC22×D44D4
cosocleC22×C4×C11C24
hypercenter#1805D11
hypocenterC11#22499
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1805

Complements

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

NH ≅ G/Ntype
4. #13069580C2semidirect
5. #13069571C2semidirect
6. #13069046C2semidirect
7. #13069046C2semidirect
8. #13068925C2semidirect
9. #13068920C2semidirect
10. #13068710C2semidirect
11. #13068705C2semidirect
12. C4×#66899C2semidirect
13. #13068334C2semidirect
14. #13068334C2semidirect
15. C11×#1805C2semidirect
22. #10623112C4semidirect
71. C4×Q8×C11C2×C4semidirect
81. #66999C2×C4semidirect
120. C4⋊C4×D11C2×C4semidirect
127. #66923C2×C4semidirect
245. #1805D11semidirect
434. C4×Q8C4×D11semidirect
588. C11#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#106231122
C2×#106224512
#130715422
#130695802
#130695712
#130690462
#130689252
#130689202
#130687102
#130687052
C4×#668992
#130683342
C11×#18052
#2249911