Finite Group Databasebeta

← #14772113

Subgroups — #14772113

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622324C211yesmaximal, characteristic
2C2×#10622324C211yesmaximal, characteristic
3C2×C4×D88C211yesmaximal, characteristic
4#13071527C211yesmaximal, characteristic, complemented
5C4⋊C4×D44C211yesmaximal, characteristic, complemented
6#13069359C211yesmaximal, characteristic, complemented
7#13069344C211yesmaximal, characteristic, complemented
8#13068880C211yesmaximal, characteristic, complemented
9#13068880C211yesmaximal, characteristic, complemented
10#13068866C211yesmaximal, characteristic, complemented
11#13068866C211yesmaximal, characteristic, complemented
12#13068784C211yesmaximal, characteristic, complemented
13#13068627C211yesmaximal, characteristic, complemented
14#13068617C211yesmaximal, characteristic, complemented
15C11×#1771C211yesmaximal, characteristic, complemented
16C22×D88C2211yescharacteristic
17C2×C4⋊C4×D11—21no—
18C2×C4×D44C2211yescharacteristic
19C2×C4×D44C2211yescharacteristic
20C2×C4×D44C2211yescharacteristic
21C2×C4×D44C2211yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#97C2211yescharacteristic
26C2×C11×#97C2211yescharacteristic
27C2×C4×C8×C11C2211yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29C2×#66885C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66882C2211yescharacteristic
36C2×#66882C2211yescharacteristic
37C2×#66881C2211yescharacteristic
38C2×#66881C2211yescharacteristic
39C2×#66881C2211yescharacteristic
40#10622602—21no—
41#10622602—21no—
42#10622600—21no—
43#10622549C2211yescharacteristic
44#10622548C2211yescharacteristic
45#10622541C2211yescharacteristic
46#10622541C2211yescharacteristic
47#10622541C2211yescharacteristic
48#10622541C2211yescharacteristic
49#10622324—24no—
50#10622324C418yescomplemented
51C4×D88—24no—
52#10622281—21no—
53#10622281—21no—
54#10622280—21no—
55D11×#95—21no—
56C11×#336C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C22×D44C2311yescharacteristic
63C22×D44C2311yescharacteristic
64C22×C4×D11—21no—
65C22×C4×D11—21no—
66C22×C4×D11—21no—
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×C4×D11—21no—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C2×C11×C4⋊C4D411yescharacteristic
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C42×C11C2311yescharacteristic
77C2×C42×C11C2311yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×(C2×D11)⋊C4—21no—
80C2×(C2×D11)⋊C4—21no—
81C2×(C2×D11)⋊C4—21no—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×C4⋊Dic11—21no—
86C2×C4⋊Dic11—21no—
87C2×C4⋊Dic11C2311yescharacteristic
88C2×C4⋊Dic11C2311yescharacteristic
89C2×C4⋊Dic11C2311yescharacteristic
90C2×C4⋊Dic11C2311yescharacteristic
91C2×C4⋊Dic11C2311yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×Dic11⋊C4—21no—
94C2×Dic11⋊C4—21no—
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×D88C2×C414yes—
98C2×D88D414yes—
99C2×D88Q814yes—
100C4⋊C4×D11—44no—
101C4×D44—22no—
102C4×D44—22no—
103C4×D44—22no—
104C4×D44—22no—
105C4×D44—22no—
106C4×D44—22no—
107C4×D44—41no—
108C4×D44—41no—
109C4×D44—41no—
110C4×D44—41no—
111C4×D44C2×C414yescomplemented
112C4×D44C2×C414yescomplemented
113C11×C4⋊C8—22no—
114C11×#97—22no—
115C11×#97C2×C414yescomplemented
116C4×C8×C11—22no—
117C11×#95D411yescharacteristic
118C11×#95D411yescharacteristic
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125#66885—22no—
126#66885—22no—
127#66885—22no—
128#66885—22no—
129#66885C2×C414yescomplemented
130#66885C2×C414yescomplemented
131#66882—22no—
132#66882—41no—
133#66881—22no—
134#66881—41no—
135#66881C2×C414yescomplemented
136#22676—111nomaximal, Sylow
137C23×D11—21no—
138C23×D11—21no—
139C22×C4×C11C2×D411yescharacteristic
140C22×C4×C11C2×D411yescharacteristic
141C22×C4×C11C2×D411yescharacteristic
142C22×C4×C11C2×D411yescharacteristic
143C22×C4×C11C2×D411yescharacteristic
144C22×C4×C11C2×D411yescharacteristic
145C22×C4×C11C2411yescharacteristic
146C22×Dic11—21no—
147C22×Dic11—21no—
148C22×Dic11—21no—
149C22×Dic11—21no—
150C22×Dic11—21no—
151C22×Dic11—21no—
152C2×D44—21no—
153C2×D44—21no—
154C2×D44—21no—
155C2×D44—21no—
156C2×D44—21no—
157C2×D44—21no—
158C2×D44C22×C412yes—
159C2×D44C22×C412yes—
160C2×D44C2×D412yes—
161C2×D44C2×D412yes—
162C2×D44C2×Q812yes—
163C2×D44C2×Q812yes—
164C2×C4×D11—24no—
165C2×C4×D11—24no—
166C2×C4×D11—42no—
167C2×C4×D11—42no—
168C2×C4×D11—42no—
169C2×C4×D11—42no—
170C2×C4×D11—42no—
171C2×C4×D11—42no—
172C2×C4×D11—42no—
173C2×C4×D11—42no—
174C2×C4×D11—42no—
175C2×C4×D11—42no—
176C2×C4×D11—81no—
177C2×C4×D11—81no—
178C2×C4×D11—81no—
179C2×C4×D11—81no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11C22×C412yes—
191C2×C8×C11C22×C412yes—
192C2×C8×C11C2×D412yes—
193C2×C8×C11C2×Q812yes—
194C11×C4⋊C4—22no—
195C11×C4⋊C4—41no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—21no—
199C42×C11—21no—
200C42×C11C22×C412yes—
201C42×C11#4112yes—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—42no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—42no—
219C4⋊Dic11—81no—
220C4⋊Dic11C22×C412yes—
221C4⋊Dic11C22×C412yes—
222Dic11⋊C4—42no—
223Dic11⋊C4—42no—
224Dic11⋊C4—81no—
225Dic11⋊C4—81no—
226D88C4⋊C4116yescomplemented
227C2×#442—111no—
228C2×#442—111no—
229C2×C4×D8—111no—
230#2349—111no—
231D4×C4⋊C4—111no—
232#1944—111no—
233#1941—111no—
234#1864—111no—
235#1864—111no—
236#1862—111no—
237#1862—111no—
238#1847—111no—
239#1804—111no—
240#1802—111no—
241#1771D1111yescharacteristic, complemented
242C23×C11C22×D411yescharacteristic
243C22×D11—22no—
244C22×D11—22no—
245C22×D11—22no—
246C22×D11—22no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—41no—
250C22×D11—41no—
251C22×D11—41no—
252C22×D11—41no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
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—21no—
272C2×C4×C11C4×D412yes—
273C2×C4×C11C4×D412yes—
274C2×C4×C11AGL(1,ℤ/8)12yes—
275C2×C4×C11C23×C411yescharacteristic
276C2×C4×C11C22×D411yescharacteristic
277C2×C4×C11C22×Q811yescharacteristic
278C2×C4×C11C2×#4111yescharacteristic
279C2×C4×C11H(5,𝔽2)11yescharacteristic
280C2×C4×C112−1+411yescharacteristic
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—41no—
284C2×Dic11—41no—
285C2×Dic11—41no—
286C2×Dic11—41no—
287C2×Dic11—41no—
288C2×Dic11—41no—
289C2×Dic11—41no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299D44—22no—
300D44—22no—
301D44—22no—
302D44—22no—
303D44—22no—
304D44—22no—
305D44C2×C4⋊C414yes—
306D44C2×C4⋊C414yescomplemented
307C4×D11—48no—
308C4×D11—84no—
309C4×D11—84no—
310C4×D11—84no—
311C4×D11—84no—
312C4×D11—84no—
313C8×C11—22no—
314C8×C11—41no—
315C8×C11—41no—
316C8×C11C2×C4⋊C414yescomplemented
317C22×D8—111no—
318C2×C4×D4—111no—
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4—111no—
322C2×C4×D4—111no—
323C2×C4×D4—111no—
324C22×C4⋊C4—221no—
325#442—118no—
326#442—224no—
327C4×D8—224no—
328C2×#107—111no—
329C2×#107—111no—
330C2×#106—111no—
331C2×#106—111no—
332C2×#106—111no—
333C2×C4⋊C8C2×D1111yescharacteristic
334C2×#102—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#97C2×D1111yescharacteristic
341C2×#97C2×D1111yescharacteristic
342C2×C4×C8C2×D1111yescharacteristic
343#389—111no—
344#389—111no—
345#389—111no—
346#389—111no—
347#385—221no—
348#385—221no—
349#385—221no—
350#385—221no—
351#384—111no—
352#382—111no—
353#380—221no—
354#380—221no—
355C4×C4⋊C4C2×D1111yescharacteristic
356C2×#95—221no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#336C2×D1111yescharacteristic
362#336C2×D1111yescharacteristic
363C22×C11C2×C4×D411yescharacteristic
364C22×C11D4211yescharacteristic
365C22×C11D4×Q811yescharacteristic
366C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
367C22×C11#57511yescharacteristic
368C22×C11#57611yescharacteristic
369C22×C11#57711yescharacteristic
370C2×D11—24no—
371C2×D11—24no—
372C2×D11—42no—
373C2×D11—42no—
374C2×D11—42no—
375C2×D11—42no—
376C2×D11—42no—
377C2×D11—42no—
378C2×D11—42no—
379C2×D11—42no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—41no—
388C4×C11—41no—
389C4×C11—41no—
390C4×C11C22×C4⋊C411yescharacteristic
391C4×C11#52011yescharacteristic
392C4×C11#54711yescharacteristic
393C4×C11#55411yescharacteristic
394Dic11—42no—
395Dic11—42no—
396Dic11—81no—
397Dic11—81no—
398Dic11—81no—
399Dic11—81no—
400C22×D4—111no—
401C22×D4—111no—
402C23×C4—221no—
403C23×C4—221no—
404C23×C4—221no—
405C23×C4—221no—
406C23×C4—221no—
407C23×C4—221no—
408C2×D8—114no—
409C2×D8—114no—
410C2×D8—114no—
411C22×C8C22×D1111yescharacteristic
412C22×C8C22×D1111yescharacteristic
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C4×D4—114no—
416C4×D4—114no—
417C4×D4—222no—
418C4×D4—222no—
419C4×D4—222no—
420C4×D4—222no—
421C4×D4—222no—
422C4×D4—222no—
423C4×D4—441no—
424C4×D4—441no—
425C4×D4—441no—
426C4×D4—441no—
427C2×C4⋊C4—111no—
428C2×C4⋊C4—111no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—221no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4—444no—
440C2×C4⋊C4D4411yescharacteristic
441C2×C4⋊C4D4411yescharacteristic
442C2×C22⋊C4—221no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C42C22×D1111yescharacteristic
449C2×C42C22×D1111yescharacteristic
450C2×C42C22×D1111yescharacteristic
451#107—222no—
452#107—441no—
453#106—114no—
454#106—222no—
455#106—441no—
456C4⋊C8—22no—
457#102—114no—
458#102—114no—
459#102—222no—
460#102—222no—
461#102—222no—
462#102—222no—
463#97—22no—
464#97C4×D1114yescomplemented
465C4×C8—22no—
466#95—221no—
467#95—221no—
468#95—221no—
469#95—221no—
470#95—221no—
471#95—221no—
472#95D4411yescharacteristic
473#95D4411yescharacteristic
474C2×C11D4×C4⋊C411yescharacteristic
475C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
476C2×C11#294611yescharacteristic
477C2×C11#326411yescharacteristic
478C2×C11#326711yescharacteristic
479C2×C11#338411yescharacteristic
480C2×C11#338911yescharacteristic
481D11—44no—
482D11—44no—
483C24—221no—
484C24—221no—
485C2×D4—112no—
486C2×D4—112no—
487C2×D4—112no—
488C2×D4—112no—
489C2×D4—112no—
490C2×D4—112no—
491C2×D4—221no—
492C2×D4—221no—
493C2×D4—221no—
494C2×D4—221no—
495C2×D4—221no—
496C2×D4—221no—
497C22×C4—221no—
498C22×C4—221no—
499C22×C4—224no—
500C22×C4—224no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—221no—
504C22×C4—221no—
505C22×C4—442no—
506C22×C4—442no—
507C22×C4—442no—
508C22×C4—442no—
509C22×C4—442no—
510C22×C4—442no—
511C22×C4—442no—
512C22×C4—442no—
513C22×C4—442no—
514C22×C4—442no—
515C22×C4—881no—
516C22×C4—881no—
517C22×C4—881no—
518C22×C4—881no—
519C22×C4—881no—
520C22×C4—881no—
521C22×C4C2×D4411yescharacteristic
522C22×C4C2×D4411yescharacteristic
523C22×C4C2×D4411yescharacteristic
524C22×C4C2×D4411yescharacteristic
525C22×C4C2×D4411yescharacteristic
526C22×C4C2×D4411yescharacteristic
527C22×C4C23×D1111yescharacteristic
528D8—1116no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8C2×C4×D1112yes—
538C2×C8C2×C4×D1112yes—
539C2×C8D4×D1112yes—
540C2×C8Q8×D1112yes—
541C4⋊C4—22no—
542C4⋊C4—41no—
543C4⋊C4—112no—
544C4⋊C4—112no—
545C4⋊C4—221no—
546C4⋊C4—221no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—442no—
556C4⋊C4—442no—
557C4⋊C4—442no—
558C4⋊C4—881no—
559C4⋊C4—881no—
560C4⋊C4—881no—
561C22⋊C4—224no—
562C22⋊C4—224no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4—442no—
566C22⋊C4—442no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42C2×C4×D1112yes—
572C42#433912yes—
573C11#2267611yescharacteristic, complemented, Sylow
574C23—222no—
575C23—222no—
576C23—222no—
577C23—222no—
578C23—222no—
579C23—222no—
580C23—441no—
581C23—441no—
582C23—441no—
583C23—441no—
584C23—441no—
585C23—441no—
586C23—441no—
587C23—441no—
588C23C22×D4411yescharacteristic
589D4—114no—
590D4—114no—
591D4—222no—
592D4—222no—
593D4—222no—
594D4—222no—
595D4—222no—
596D4—222no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—448no—
615C2×C4—441no—
616C2×C4—441no—
617C2×C4—441no—
618C2×C4—441no—
619C2×C4—441no—
620C2×C4—441no—
621C2×C4—441no—
622C2×C4—441no—
623C2×C4—441no—
624C2×C4—441no—
625C2×C4—441no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—884no—
632C2×C4—884no—
633C2×C4—884no—
634C2×C4—884no—
635C2×C4—884no—
636C2×C4C4×D4412yes—
637C2×C4C4×D4412yes—
638C2×C4#6696112yes—
639C2×C4C22×C4×D1111yescharacteristic
640C2×C4C2×#433911yescharacteristic
641C2×C4C2×D4×D1111yescharacteristic
642C2×C4C2×Q8×D1111yescharacteristic
643C2×C4#6704211yescharacteristic
644C2×C4#6704311yescharacteristic
645C8—22no—
646C8—41no—
647C8—41no—
648C8C4⋊C4×D1114yescomplemented
649C22—224no—
650C22—224no—
651C22—442no—
652C22—442no—
653C22—442no—
654C22—442no—
655C22—442no—
656C22—442no—
657C22—442no—
658C22—442no—
659C22—442no—
660C22—442no—
661C22—442no—
662C22—442no—
663C22C2×C4×D4411yescharacteristic
664C22D4×D4411yescharacteristic
665C22Q8×D4411yescharacteristic
666C22C2×#6696111yescharacteristic
667C22#1062327911yescharacteristic
668C22#1062328211yescharacteristic
669C22#1062328311yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—442no—
677C4—442no—
678C4—881no—
679C4—881no—
680C4—881no—
681C4—881no—
682C4C2×C4⋊C4×D1111yescharacteristic
683C4#1062305411yescharacteristic
684C4#1062308211yescharacteristic
685C4#1062311011yescharacteristic
686C2—444no—
687C2—444no—
688C2C4⋊C4×D4411yescharacteristic
689C2C4×#6696111yescharacteristic
690C2#1307745011yescharacteristic
691C2#1308010111yescharacteristic
692C2#1308014611yescharacteristic
693C2#1308151711yescharacteristic
694C2#1308157611yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1771C2
socleC23×C11C22×D4
prime radicalC22×D88C22
cosocleC22×C4×C11C24
hypercenter#1771D11
hypocenterC11#22676
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #1771

Complements

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

NH ≅ G/Ntype
4. #13071527C2semidirect
5. C4⋊C4×D44C2semidirect
6. #13069359C2semidirect
7. #13069344C2semidirect
8. #13068880C2semidirect
9. #13068880C2semidirect
10. #13068866C2semidirect
11. #13068866C2semidirect
12. #13068784C2semidirect
13. #13068627C2semidirect
14. #13068617C2semidirect
15. C11×#1771C2semidirect
50. #10622324C4semidirect
111. C4×D44C2×C4semidirect
112. C4×D44C2×C4semidirect
115. C11×#97C2×C4semidirect
129. #66885C2×C4semidirect
130. #66885C2×C4semidirect
135. #66881C2×C4semidirect
226. D88C4⋊C4semidirect
241. #1771D11semidirect
306. D44C2×C4⋊C4semidirect
316. C8×C11C2×C4⋊C4semidirect
464. #97C4×D11semidirect
573. C11#22676semidirect
648. C8C4⋊C4×D11semidirect

Maximal subgroups

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

subgroupindex
C2×#106223242
C2×C4×D882
#130715272
C4⋊C4×D442
#130693592
#130693442
#130688802
#130688662
#130687842
#130686272
#130686172
C11×#17712
#2267611