Finite Group Databasebeta

← #14823178

Subgroups — #14823178

Order 2816.

910 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622616C211yesmaximal, characteristic, complemented
2C2×#10622620C211yesmaximal, characteristic, complemented
3#13072979C211yesmaximal, characteristic, complemented
4#13069987C211yesmaximal, characteristic, complemented
5#13069949C211yesmaximal, characteristic, complemented
6#13069802C211yesmaximal, characteristic, complemented
7#13069612C211yesmaximal, characteristic
8#13069491C211yesmaximal, characteristic, complemented
9#13069240C211yesmaximal, characteristic, complemented
10#13069236C211yesmaximal, characteristic, complemented
11#13069231C211yesmaximal, characteristic, complemented
12#13068964C211yesmaximal, characteristic, complemented
13#13068815C211yesmaximal, characteristic, complemented
14#13068514C211yesmaximal, characteristic, complemented
15C11×#2363C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×#4323C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C2×#66938—21no—
22C2×#66922C2211yescharacteristic
23C11×#390—21no—
24C11×#390C2211yescharacteristic
25C11×#389C2211yescharacteristic
26C11×#388—21no—
27C11×#386—21no—
28C4×C11×C4⋊C4C2211yescharacteristic
29C4×C11×C22⋊C4—21no—
30C4×C11×C22⋊C4C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34#10622825C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622620—24no—
38#10622616—24no—
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622574—21no—
48#10622552C2211yescharacteristic
49#10622552C2211yescharacteristic
50C4×C4⋊Dic11C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53#10622286—21no—
54#10622283—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×D44C2311yescharacteristic
67C22×Dic22—21no—
68C11×#121—22no—
69C11×#121—22no—
70C4×D4×C11—22no—
71C4×D4×C11—41no—
72C11×#117—22no—
73C11×#117—41no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C22⋊C4—21no—
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C42×C11—21no—
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323—41no—
93#66983—22no—
94#66983—41no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4×Dic11—21no—
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109#66938—44no—
110#66922—22no—
111#66922—41no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95D411yescharacteristic
115C11×#95D411yescharacteristic
116#66896—22no—
117#66896—22no—
118#66896—22no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C22⋊(C11⋊C8)—22no—
122C22⋊(C11⋊C8)—22no—
123#66873—22no—
124#66873—22no—
125#66873—22no—
126#66872—22no—
127#66872—22no—
128#66872—41no—
129#66871—22no—
130#66871D414yescomplemented
131C4⋊(C11⋊C8)—22no—
132#66867—22no—
133#26812—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C23×D11—21no—
137C2×D4×C11—24no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—81no—
144C2×D4×C11—81no—
145C2×D4×C11#4112yes—
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—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2411yescharacteristic
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C2×C22⋊D11—81no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×Dic22—42no—
177C2×Dic22—42no—
178C2×Dic22—81no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—81no—
184C11×C4⋊C4C2×D412yes—
185C11×C4⋊C4#4112yes—
186C11×C22⋊C4—24no—
187C11×C22⋊C4—22no—
188C11×C22⋊C4—41no—
189C11×C22⋊C4—42no—
190C11×C22⋊C4—42no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—81no—
193C42×C11—21no—
194C42×C11—21no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—42no—
198C42×C11—81no—
199C22⋊Dic11—42no—
200#4323—44no—
201(C2×D11)⋊C4—42no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—81no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—42no—
212C4⋊Dic11C2×D412yes—
213C4×Dic11—42no—
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—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8C2×D412yes—
225C2×C11⋊C8#4112yes—
226C2×#482—111no—
227C2×#474—111no—
228#2491—111no—
229#2363D1111yescharacteristic, complemented
230#2065—111no—
231#2058—111no—
232#2034—111no—
233#1999—111no—
234#1972—111no—
235#1926—111no—
236#1925—111no—
237#1924—111no—
238#1879—111no—
239#1854—111no—
240#1776—111no—
241C23×C11—22no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C22×D411yescharacteristic
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263D4×C11—22no—
264D4×C11—22no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—84no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
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—21no—
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—41no—
294C2×C4×C11—41no—
295C2×C4×C11—84no—
296C2×C4×C11AGL(1,ℤ/8)12yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C112−1+411yescharacteristic
303C22⋊D11—84no—
304C2×Dic11—22no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313D44—41no—
314D44—41no—
315D44—41no—
316D44—41no—
317Dic22—84no—
318C11⋊C8—22no—
319C11⋊C8—22no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322C22×D8—111no—
323C2×C4⋊Q8—111no—
324C2×#124—221no—
325C2×#121—111no—
326C2×#121C2×D1111yescharacteristic
327C2×C4×D4C2×D1111yescharacteristic
328C2×#117C2×D1111yescharacteristic
329#482—224no—
330#474—224no—
331C2×#107—111no—
332C2×#107—111no—
333C2×#106—111no—
334C2×#106—111no—
335C2×#106—111no—
336C2×C4⋊C8—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×C22⋊C8—111no—
344C2×C22⋊C8—111no—
345C2×#97—111no—
346#394—221no—
347#393—221no—
348#390—21no—
349#390—111no—
350#390—111no—
351#390C2×D1111yescharacteristic
352#389C2×D1111yescharacteristic
353#388—21no—
354#388—221no—
355#386—21no—
356#380—111no—
357C4×C4⋊C4—111no—
358C4×C4⋊C4C2×D1111yescharacteristic
359C4×C22⋊C4—21no—
360C4×C22⋊C4C2×D1111yescharacteristic
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#336—111no—
366#336—111no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—42no—
371C22×C11—41no—
372C22×C11—42no—
373C22×C11—41no—
374C22×C11—42no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11#52511yescharacteristic
382C22×C11D4211yescharacteristic
383C22×C11#54711yescharacteristic
384C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
385C22×C11#57511yescharacteristic
386C22×C11#57611yescharacteristic
387C22×C11#57711yescharacteristic
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C4×C11—22no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—42no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—41no—
402C4×C11—81no—
403C4×C11#53211yescharacteristic
404C4×C11#54211yescharacteristic
405C4×C11#54811yescharacteristic
406C4×C11#55111yescharacteristic
407Dic11—42no—
408Dic11—81no—
409Dic11—81no—
410C22×Q8—221no—
411C22×D4—21no—
412C22×D4—111no—
413C22×D4—221no—
414C22×D4C22×D1111yescharacteristic
415C23×C4—21no—
416C23×C4C22×D1111yescharacteristic
417C2×D8—222no—
418C2×D8—222no—
419C2×D8—441no—
420C22×C8—111no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8—111no—
424C4⋊Q8—222no—
425C4⋊Q8—441no—
426#124—444no—
427#121—22no—
428#121—22no—
429#121—222no—
430#121—441no—
431C4×D4—22no—
432C4×D4—41no—
433#117—22no—
434#117—41no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—221no—
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⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4C22⋊D1111yescharacteristic
455C2×C22⋊C4C22⋊D1111yescharacteristic
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—221no—
459C2×C42C22×D1111yescharacteristic
460C2×C42C22×D1111yescharacteristic
461#107—114no—
462#107—222no—
463#106—222no—
464#106—222no—
465#106—441no—
466C4⋊C8—222no—
467#102—222no—
468#102—222no—
469#102—222no—
470#102—222no—
471#102—222no—
472#102—222no—
473C22⋊C8—222no—
474C22⋊C8—222no—
475#97—222no—
476#95—21no—
477#95—21no—
478#95—221no—
479#95—221no—
480#95C22⋊D1111yescharacteristic
481#95C22⋊D1111yescharacteristic
482C2×C11—81no—
483C2×C11—82no—
484C2×C11#246111yescharacteristic
485C2×C11#311511yescharacteristic
486C2×C11#311811yescharacteristic
487C2×C11#326411yescharacteristic
488C2×C11#327111yescharacteristic
489C2×C11#334711yescharacteristic
490C2×C11#335411yescharacteristic
491D11—161no—
492C24—21no—
493C24—221no—
494C24C2×C22⋊D1111yescharacteristic
495C2×Q8—442no—
496C2×Q8—442no—
497C2×Q8—881no—
498C2×D4—24no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—81no—
505C2×D4—81no—
506C2×D4—221no—
507C2×D4—221no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—442no—
513C2×D4—442no—
514C2×D4—881no—
515C2×D4#433912yes—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4C2×C22⋊D1111yescharacteristic
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C2×C22⋊D1111yescharacteristic
534C22×C4C2×C22⋊D1111yescharacteristic
535C22×C4C2×C22⋊D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537D8—444no—
538C2×C8—112no—
539C2×C8—112no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—112no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—442no—
562C4⋊C4#433912yes—
563C4⋊C4D4×D1112yes—
564C22⋊C4—24no—
565C22⋊C4—22no—
566C22⋊C4—41no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—81no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C22⋊C4—442no—
575C22⋊C4—442no—
576C22⋊C4—881no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—42no—
582C42—81no—
583C42—442no—
584C11#2681211yescharacteristic, complemented, Sylow
585C23—22no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23C22×C22⋊D1111yescharacteristic
607Q8—884no—
608D4—22no—
609D4—22no—
610D4—41no—
611D4—41no—
612D4—84no—
613D4—441no—
614D4—441no—
615D4—441no—
616D4—441no—
617D4—884no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—222no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4#6700212yes—
656C2×C4C2×#433911yescharacteristic
657C2×C4C2×#433911yescharacteristic
658C2×C4C2×D4×D1111yescharacteristic
659C2×C4#6703711yescharacteristic
660C2×C4#41×D1111yescharacteristic
661C2×C4#6704311yescharacteristic
662C8—222no—
663C8—222no—
664C8—441no—
665C8—441no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22#1062332211yescharacteristic
688C22D4×C22⋊D1111yescharacteristic
689C22C2×#6700211yescharacteristic
690C22#1062335311yescharacteristic
691C22#1062335511yescharacteristic
692C22#1062336611yescharacteristic
693C22#1062336711yescharacteristic
694C4—22no—
695C4—42no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—81no—
702C4—442no—
703C4—881no—
704C4—881no—
705C4#1062307911yescharacteristic
706C4#1062308311yescharacteristic
707C4#1062308711yescharacteristic
708C4#1062309211yescharacteristic
709C2—81no—
710C2—82no—
711C2—1761no—
712C2#1307257711yescharacteristic
713C2#1307876711yescharacteristic
714C2#1307880011yescharacteristic
715C2#1308009711yescharacteristic
716C2#1308019711yescharacteristic
717C2#1308111011yescharacteristic
718C2#1308120511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2363C2
socleC23×C11C22×D4
prime radical#13069612C2
hypercenter#2363D11
hypocenterC11#26812
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2363

Complements

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

NH ≅ G/Ntype
1. C2×#10622616C2semidirect
2. C2×#10622620C2semidirect
3. #13072979C2semidirect
4. #13069987C2semidirect
5. #13069949C2semidirect
6. #13069802C2semidirect
8. #13069491C2semidirect
9. #13069240C2semidirect
10. #13069236C2semidirect
11. #13069231C2semidirect
12. #13068964C2semidirect
13. #13068815C2semidirect
14. #13068514C2semidirect
15. C11×#2363C2semidirect
130. #66871D4semidirect
229. #2363D11semidirect
584. C11#26812semidirect

Maximal subgroups

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

subgroupindex
C2×#106226162
C2×#106226202
#130729792
#130699872
#130699492
#130698022
#130696122
#130694912
#130692402
#130692362
#130692312
#130689642
#130688152
#130685142
C11×#23632
#2681211