Finite Group Databasebeta

← #14801982

Subgroups — #14801982

Order 2816.

940 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×#10622584C211yesmaximal, characteristic, complemented
2C2×#10622654C211yesmaximal, characteristic
3#13071619C211yesmaximal, characteristic, complemented
4#13070093C211yesmaximal, characteristic, complemented
5#13070025C211yesmaximal, characteristic, complemented
6#13069990C211yesmaximal, characteristic, complemented
7#13069933C211yesmaximal, characteristic, complemented
8#13069377C211yesmaximal, characteristic, complemented
9#13069240C211yesmaximal, characteristic, complemented
10#13068974C211yesmaximal, characteristic, complemented
11#13068934C211yesmaximal, characteristic
12#13068796C211yesmaximal, characteristic, complemented
13#13068618C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#2501C211yesmaximal, characteristic
16C2×C11×#123—21no—
17C2×C11×#123—21no—
18C2×C11×#121C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C2×#66977C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C2×C4×Dic22C2211yescharacteristic
25C11×#399—21no—
26C11×#399—21no—
27C11×#390C2211yescharacteristic
28C11×#390C2211yescharacteristic
29C11×#384C2211yescharacteristic
30C11×#384C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622654—24no—
37#10622584—24no—
38C2×#66874C2211yescharacteristic
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44#10622559—21no—
45C22⋊C4×Dic11—21no—
46C4×C4⋊Dic11C2211yescharacteristic
47#10622542C2211yescharacteristic
48#10622541C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×C4⋊(C11⋊C8)C2211yescharacteristic
51#10622268—21no—
52#10622260—21no—
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
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
65C23×Dic11—21no—
66C22×Dic22C2311yescharacteristic
67C11×#123—44no—
68C11×#123—44no—
69C11×#121—22no—
70C11×#121—22no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C22⋊Dic11—21no—
91C2×#4324—22no—
92C2×#4324—22no—
93C2×#4324—41no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—41no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100#66977—22no—
101#66977D414yes—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8—41no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C4×Dic22—22no—
115C4×Dic22—41no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118#66896—22no—
119#66896—22no—
120#66896—41no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)—22no—
126#66874—22no—
127#66874—22no—
128#66874—22no—
129#66872—22no—
130#66872—22no—
131#66872—22no—
132C4⋊(C11⋊C8)—22no—
133C4⋊(C11⋊C8)—41no—
134#25204—111nomaximal, Sylow
135C24×C11—21no—
136C24×C11C2×D411yescharacteristic
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—42no—
144C2×D4×C11—42no—
145C2×D4×C11—42no—
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—42no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D412yes—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11#4112yes—
163C22×C4×C11C2411yescharacteristic
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—42no—
169C22×Dic11—42no—
170C22×Dic11—81no—
171C2×Dic22—21no—
172C2×Dic22—21no—
173C2×Dic22—21no—
174C2×Dic22—21no—
175C2×Dic22—21no—
176C2×Dic22C2×D412yes—
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—42no—
184C11×C4⋊C4—42no—
185C11×C4⋊C4—42no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4—42no—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—42no—
190C11×C22⋊C4—42no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4SD1614yescomplemented
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—21no—
199C22⋊Dic11—24no—
200#4324—44no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—42no—
206C4⋊Dic11C2×D412yes—
207C4⋊Dic11#4112yes—
208Dic11⋊C4—24no—
209Dic11⋊C4—42no—
210Dic11⋊C4—81no—
211C4×Dic11—42no—
212C4×Dic11—81no—
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—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—44no—
225C2×C11⋊C8#4112yes—
226C2×#483—111no—
227C2×#465—111no—
228#2501D1111yescharacteristic
229#2360—111no—
230#2084—111no—
231#2072—111no—
232#2065—111no—
233#2055—111no—
234#1948—111no—
235#1926—111no—
236#1880—111no—
237#1874—111no—
238#1850—111no—
239#1803—111no—
240C2×#340—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11#12112yes—
253C23×C11C2×SD1612yes—
254C23×C11AGL(1,ℤ/8)12yes—
255C23×C11C22×D411yescharacteristic
256D4×C11—41no—
257D4×C11—41no—
258D4×C11—41no—
259D4×C11—41no—
260D4×C11—84no—
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—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
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—84no—
287C2×C4×C11#12112yes—
288C2×C4×C11C2×SD1612yes—
289C2×C4×C11C2×SD1612yes—
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11H(5,𝔽2)11yescharacteristic
295C2×C4×C112−1+411yescharacteristic
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×Dic11—84no—
309Dic22—22no—
310Dic22—22no—
311Dic22—41no—
312Dic22—41no—
313C11⋊C8—22no—
314C11⋊C8—41no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C22×SD16—111no—
318C23×C8—111no—
319C2×#123—21no—
320C2×#123—21no—
321C2×C22⋊Q8—111no—
322C2×#121C2×D1111yescharacteristic
323C2×C4×Q8—111no—
324C22×C4⋊C4—111no—
325C22×C4⋊C4C2×D1111yescharacteristic
326#483—224no—
327#465—224no—
328C2×#106—111no—
329C2×#106—111no—
330C2×#106—111no—
331C2×C4⋊C8—111no—
332C2×C4⋊C8—111no—
333C2×#103—111no—
334C2×#103—111no—
335C2×#103—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×C22⋊C8—111no—
340#399—21no—
341#399—21no—
342#391—111no—
343#390C2×D1111yescharacteristic
344#390C2×D1111yescharacteristic
345#389—111no—
346#389—221no—
347#387—221no—
348#385—221no—
349#384C2×D1111yescharacteristic
350#384C2×D1111yescharacteristic
351C4×C4⋊C4—111no—
352C4×C22⋊C4—221no—
353C4×C22⋊C4C2×D1111yescharacteristic
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#336—111no—
361#336—111no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—81no—
369C22×C11—81no—
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11#46014yes—
376C22×C11C2×#12111yescharacteristic
377C22×C11#54611yescharacteristic
378C22×C11#54711yescharacteristic
379C22×C11C22×SD1611yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11#57711yescharacteristic
382C22×C11#57811yescharacteristic
383C4×C11—22no—
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—41no—
387C4×C11—41no—
388C4×C11—81no—
389C4×C11—81no—
390C4×C11—81no—
391C4×C11#52911yescharacteristic
392C4×C11#53911yescharacteristic
393C4×C11#54611yescharacteristic
394C4×C11#54711yescharacteristic
395Dic11—42no—
396Dic11—42no—
397Dic11—42no—
398Dic11—81no—
399C22×Q8—111no—
400C22×D4—21no—
401C22×D4C22×D1111yescharacteristic
402C23×C4—21no—
403C23×C4—221no—
404C23×C4C22×D1111yescharacteristic
405C2×SD16—222no—
406C2×SD16—222no—
407C2×SD16—441no—
408C22×C8—111no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—111no—
412C22×C8—222no—
413C22×C8—222no—
414C22×C8—441no—
415#123—44no—
416#123—44no—
417C22⋊Q8—114no—
418C22⋊Q8—222no—
419#121—22no—
420#121—22no—
421C4×Q8—222no—
422C4×Q8—441no—
423C2×C4⋊C4—22no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—222no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—441no—
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4C22⋊D1111yescharacteristic
449C2×C22⋊C4C22⋊D1111yescharacteristic
450C2×C42—221no—
451C2×C42—221no—
452C2×C42C22×D1111yescharacteristic
453C2×C42C22×D1111yescharacteristic
454#106—222no—
455#106—222no—
456#106—222no—
457C4⋊C8—222no—
458C4⋊C8—441no—
459#103—222no—
460#103—222no—
461#103—222no—
462#102—222no—
463#102—222no—
464#102—441no—
465C22⋊C8—222no—
466#95—221no—
467#95—221no—
468#95—221no—
469#95—221no—
470#95C22⋊D1111yescharacteristic
471#95C22⋊D1111yescharacteristic
472C2×C11—24no—
473C2×C11—161no—
474C2×C11#242511yescharacteristic
475C2×C11C2×#46011yescharacteristic
476C2×C11#304611yescharacteristic
477C2×C11#329811yescharacteristic
478C2×C11#330611yescharacteristic
479C2×C11#333511yescharacteristic
480C2×C11#334311yescharacteristic
481C24—21no—
482C24C2×C22⋊D1111yescharacteristic
483C2×Q8—112no—
484C2×Q8—221no—
485C2×Q8—221no—
486C2×Q8—221no—
487C2×Q8—221no—
488C2×Q8—221no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—221no—
509C22×C4—221no—
510C22×C4—221no—
511C22×C4—221no—
512C22×C4—442no—
513C22×C4—442no—
514C22×C4—881no—
515C22×C4D4×D1112yes—
516C22×C4#434112yes—
517C22×C4C2×C22⋊D1111yescharacteristic
518C22×C4C2×C22⋊D1111yescharacteristic
519C22×C4C2×C22⋊D1111yescharacteristic
520C22×C4C2×C22⋊D1111yescharacteristic
521C22×C4C2×C22⋊D1111yescharacteristic
522C22×C4C23×D1111yescharacteristic
523SD16—444no—
524C2×C8—112no—
525C2×C8—221no—
526C2×C8—221no—
527C2×C8—221no—
528C2×C8—221no—
529C2×C8—221no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—444no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—112no—
549C4⋊C4—112no—
550C4⋊C4—224no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—442no—
556C4⋊C4—442no—
557C4⋊C4—881no—
558C22⋊C4—22no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—224no—
565C22⋊C4#432414yescomplemented
566C42—21no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—442no—
571C42—881no—
572C11#2520411yescharacteristic, complemented, Sylow
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23#6698512yes—
585C23C2×#432412yes—
586C23#6699112yes—
587C23C22×C22⋊D1111yescharacteristic
588Q8—222no—
589Q8—222no—
590Q8—441no—
591Q8—441no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—84no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—884no—
636C2×C4C2×#432412yes—
637C2×C4C2×#432412yes—
638C2×C4#6699112yes—
639C2×C4C2×D4×D1111yescharacteristic
640C2×C4C2×#434111yescharacteristic
641C2×C4#41×D1111yescharacteristic
642C2×C4#41×D1111yescharacteristic
643C2×C4#6704211yescharacteristic
644C2×C4#6704311yescharacteristic
645C8—222no—
646C8—441no—
647C8—441no—
648C8—441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22#1062268814yes—
663C22C2×#6698511yescharacteristic
664C22C22×#432411yescharacteristic
665C22C2×#6699111yescharacteristic
666C22#1062335511yescharacteristic
667C22#1062336011yescharacteristic
668C22#1062336811yescharacteristic
669C22#1062336911yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—81no—
676C4—81no—
677C4—81no—
678C4—442no—
679C4—442no—
680C4—442no—
681C4—881no—
682C4#1062318011yescharacteristic
683C4#1062318511yescharacteristic
684C4#1062318611yescharacteristic
685C4#1062319611yescharacteristic
686C2—24no—
687C2—161no—
688C2#1307216311yescharacteristic
689C2C2×#1062268811yescharacteristic
690C2#1307816211yescharacteristic
691C2#1308047511yescharacteristic
692C2#1308057111yescharacteristic
693C2#1308097311yescharacteristic
694C2#1308105011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2501C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
hypercenter#2501D11
hypocenterC11#25204
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2501

Complements

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

NH ≅ G/Ntype
1. C2×#10622584C2semidirect
3. #13071619C2semidirect
4. #13070093C2semidirect
5. #13070025C2semidirect
6. #13069990C2semidirect
7. #13069933C2semidirect
8. #13069377C2semidirect
9. #13069240C2semidirect
10. #13068974C2semidirect
12. #13068796C2semidirect
13. #13068618C2semidirect
14. C2×#10622167C2semidirect
194. C11×C22⋊C4SD16semidirect
565. C22⋊C4#4324semidirect
572. C11#25204semidirect

Maximal subgroups

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

subgroupindex
C2×#106225842
C2×#106226542
#130716192
#130700932
#130700252
#130699902
#130699332
#130693772
#130692402
#130689742
#130689342
#130687962
#130686182
C2×#106221672
C11×#25012
#2520411