Finite Group Databasebeta

← #14814644

Subgroups — #14814644

Order 2816.

890 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13072034C211yesmaximal, characteristic
2#13070173C211yesmaximal, characteristic, complemented
3#13070047C211yesmaximal, characteristic, complemented
4#13070020C211yesmaximal, characteristic, complemented
5#13069805C211yesmaximal, characteristic, complemented
6#13069236C211yesmaximal, characteristic, complemented
7#13069201C211yesmaximal, characteristic, complemented
8#13069052C211yesmaximal, characteristic, complemented
9#13068933C211yesmaximal, characteristic, complemented
10#13068933C211yesmaximal, characteristic, complemented
11#13068914C211yesmaximal, characteristic, complemented
12#13068813C211yesmaximal, characteristic, complemented
13#13068706C211yesmaximal, characteristic, complemented
14#13068335C211yesmaximal, characteristic, complemented
15D4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11—21no—
17C2×C4×D4×C11C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C2×#66979C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#389—21no—
25C11×#385—21no—
26C11×#385—21no—
27C11×#384C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C11×#380C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31#10622836—21no—
32#10622825C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622603—21no—
37C2×#66873C2211yescharacteristic
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66871C2211yescharacteristic
43#10622572—21no—
44#10622570—21no—
45#10622552C2211yescharacteristic
46#10622541C2211yescharacteristic
47#10622167C2211yescharacteristic
48#10622167C2211yescharacteristic
49#10622167C2211yescharacteristic
50#10622167C2211yescharacteristic
51#10622167C2211yescharacteristic
52#10622167C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C22×D4×C11D411yescharacteristic
60C23×C4×C11—21no—
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C22×D44C2311yescharacteristic
67C4×D4×C11—22no—
68C4×D4×C11—22no—
69C4×D4×C11—44no—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4D411yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C42×C11—21no—
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91#66983—22no—
92#66983—22no—
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—
99#66979—22no—
100#66979—41no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×C4×Dic11—21no—
106C2×#4318—22no—
107C2×#4318—41no—
108C2×#4318—41no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11⋊#95—21no—
117C11⋊#95—21no—
118C22⋊(C11⋊C8)—22no—
119C22⋊(C11⋊C8)—41no—
120C22⋊(C11⋊C8)—41no—
121#66873—22no—
122#66873—41no—
123#66873—41no—
124#66873—41no—
125#66872—22no—
126#66871—41no—
127#26218—111nomaximal, Sylow
128C24×C11C2×D411yescharacteristic
129C24×C11C2×D411yescharacteristic
130C23×D11—21no—
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—42no—
149C22×C4×C11—42no—
150C22×C4×C11—42no—
151C22×C4×C11—42no—
152C22×C4×C11—81no—
153C22×C4×C11—81no—
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11#4112yes—
159C22×C4×C11#4112yes—
160C22×C4×C11C2411yescharacteristic
161C2×C22⋊D11—42no—
162C2×C22⋊D11—42no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—81no—
165C2×C22⋊D11—81no—
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—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—42no—
185C11×C4⋊C4—42no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4—81no—
188C11×C4⋊C4#4112yes—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C42×C11—21no—
194C42×C11—21no—
195C42×C11—42no—
196C22⋊Dic11—42no—
197C22⋊Dic11—81no—
198(C2×D11)⋊C4—42no—
199(C2×D11)⋊C4—42no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—81no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11#4112yes—
208Dic11⋊C4—81no—
209C4×Dic11—42no—
210#4318—44no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
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—
223#2414—111no—
224D4×C4⋊C4D1111yescharacteristic, complemented
225#2099—111no—
226#2076—111no—
227#2071—111no—
228#2034—111no—
229#1925—111no—
230#1920—111no—
231#1895—111no—
232#1874—111no—
233#1874—111no—
234#1870—111no—
235#1854—111no—
236#1824—111no—
237#1736—111no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11#12312yes—
251C23×C11#13712yes—
252C23×C11C22×D411yescharacteristic
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260D4×C11—28no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
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×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—84no—
292C2×C4×C11—84no—
293C2×C4×C11#12312yes—
294C2×C4×C11AGL(1,ℤ/8)12yes—
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C22⋊D11—84no—
302C22⋊D11—84no—
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312D44—41no—
313D44—41no—
314D44—41no—
315D44—41no—
316C11⋊C8—41no—
317C11⋊C8—41no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C22×M16—111no—
321C2×#121—111no—
322C2×#121—111no—
323C2×C4×D4—21no—
324C2×C4×D4C2×D1111yescharacteristic
325C2×#117—111no—
326C22×C4⋊C4C2×D1111yescharacteristic
327C22×C4⋊C4C2×D1111yescharacteristic
328C2×#107—111no—
329C2×#106—111no—
330C2×#102—111no—
331C2×#102—111no—
332C2×#102—111no—
333C2×#102—111no—
334C2×C22⋊C8—111no—
335C2×C22⋊C8—111no—
336C2×C22⋊C8—111no—
337#394—221no—
338#392—221no—
339#390—111no—
340#390—221no—
341#389—21no—
342#389—111no—
343#388—221no—
344#385—21no—
345#385—21no—
346#384C2×D1111yescharacteristic
347#380—111no—
348#380C2×D1111yescharacteristic
349#380C2×D1111yescharacteristic
350C4×C4⋊C4C2×D1111yescharacteristic
351#340—111no—
352#340—111no—
353#340—111no—
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#336—111no—
362#336—111no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11C2×#12311yescharacteristic
378C22×C11#54611yescharacteristic
379C22×C11#54611yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11C2×#13711yescharacteristic
382C22×C11#57611yescharacteristic
383C22×C11#57711yescharacteristic
384C2×D11—81no—
385C2×D11—81no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—41no—
394C4×C11—41no—
395C4×C11—42no—
396C4×C11—81no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11#52911yescharacteristic
400C4×C11#53811yescharacteristic
401C4×C11#55311yescharacteristic
402C4×C11#55311yescharacteristic
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406C22×D4—111no—
407C22×D4—221no—
408C22×D4—221no—
409C22×D4C22⋊D1111yescharacteristic
410C23×C4—21no—
411C23×C4—21no—
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C2×M16—222no—
415C2×M16—441no—
416C2×M16—441no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—111no—
420C22×C8—111no—
421#121—222no—
422#121—222no—
423#121—222no—
424#121—441no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—44no—
428#117—222no—
429#117—441no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—41no—
437C2×C4⋊C4—41no—
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×C4⋊C4C22×D1111yescharacteristic
446C2×C4⋊C4C22×D1111yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4C22⋊D1111yescharacteristic
456C2×C22⋊C4C22⋊D1111yescharacteristic
457C2×C42—21no—
458C2×C42—221no—
459C2×C42C22×D1111yescharacteristic
460#107—441no—
461#106—222no—
462#102—222no—
463#102—441no—
464#102—441no—
465#102—441no—
466C22⋊C8—222no—
467C22⋊C8—441no—
468C22⋊C8—441no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—221no—
473#95—221no—
474C2×C11—42no—
475C2×C11—42no—
476C2×C11#244411yescharacteristic
477C2×C11#309211yescharacteristic
478C2×C11#309611yescharacteristic
479C2×C11#331411yescharacteristic
480C2×C11#332011yescharacteristic
481C2×C11#332511yescharacteristic
482C2×C11#333211yescharacteristic
483D11—161no—
484C24—221no—
485C24C2×C22⋊D1111yescharacteristic
486C24C2×C22⋊D1111yescharacteristic
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—221no—
491C2×D4—221no—
492C2×D4—221no—
493C2×D4—221no—
494C2×D4—221no—
495C2×D4—221no—
496C2×D4—442no—
497C2×D4—442no—
498C2×D4—442no—
499C2×D4—881no—
500C2×D4—881no—
501C2×D4—881no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4#433912yes—
526C22×C4#433912yes—
527C22×C4C2×C22⋊D1111yescharacteristic
528C22×C4C2×C22⋊D1111yescharacteristic
529C22×C4C2×C22⋊D1111yescharacteristic
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532M16—444no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—81no—
557C4⋊C4—112no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—881no—
564C4⋊C4#434112yes—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—881no—
574C22⋊C4—881no—
575C42—21no—
576C42—21no—
577C42—42no—
578C42—442no—
579C11#2621811yescharacteristic, complemented, Sylow
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—441no—
593C23—441no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23—441no—
599C23#6698212yes—
600C23#6699512yes—
601C23C22×C22⋊D1111yescharacteristic
602D4—28no—
603D4—441no—
604D4—441no—
605D4—441no—
606D4—441no—
607D4—884no—
608D4—884no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
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—41no—
639C2×C4—84no—
640C2×C4—84no—
641C2×C4—222no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4#6698212yes—
651C2×C4#6698512yes—
652C2×C4C2×#433911yescharacteristic
653C2×C4C2×#433911yescharacteristic
654C2×C4C2×#434111yescharacteristic
655C2×C4#6703711yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C2×C4#6704211yescharacteristic
658C8—441no—
659C8—441no—
660C8—441no—
661C8—441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—881no—
677C22—881no—
678C22—881no—
679C22—881no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22C2×#6698211yescharacteristic
684C22C2×#6698511yescharacteristic
685C22#1062333711yescharacteristic
686C22C2×#6699511yescharacteristic
687C22#1062336011yescharacteristic
688C22#1062336611yescharacteristic
689C22#1062336811yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—41no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4—81no—
698C4—442no—
699C4—881no—
700C4—881no—
701C4#1062306911yescharacteristic
702C4#1062307111yescharacteristic
703C4#1062309111yescharacteristic
704C4#1062309611yescharacteristic
705C2—42no—
706C2—42no—
707C2—1761no—
708C2#1307236011yescharacteristic
709C2#1307853911yescharacteristic
710C2#1307857411yescharacteristic
711C2#1308069111yescharacteristic
712C2#1308078711yescharacteristic
713C2#1308085811yescharacteristic
714C2#1308093711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingD4×C11×C4⋊C4C2
socleC23×C11C22×D4
prime radical#13072034C2
hypercenterD4×C4⋊C4D11
hypocenterC11#26218
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #13070173C2semidirect
3. #13070047C2semidirect
4. #13070020C2semidirect
5. #13069805C2semidirect
6. #13069236C2semidirect
7. #13069201C2semidirect
8. #13069052C2semidirect
9. #13068933C2semidirect
10. #13068933C2semidirect
11. #13068914C2semidirect
12. #13068813C2semidirect
13. #13068706C2semidirect
14. #13068335C2semidirect
15. D4×C11×C4⋊C4C2semidirect
224. D4×C4⋊C4D11semidirect
579. C11#26218semidirect

Maximal subgroups

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

subgroupindex
#130720342
#130701732
#130700472
#130700202
#130698052
#130692362
#130692012
#130690522
#130689332
#130689142
#130688132
#130687062
#130683352
D4×C11×C4⋊C42
#2621811