Finite Group Databasebeta

← #14810905

Subgroups — #14810905

Order 2816.

990 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622633C211yesmaximal, characteristic, complemented
2C22×#66899C211yesmaximal, characteristic
3#13072318C211yesmaximal, characteristic
4#13070159C211yesmaximal, characteristic, complemented
5#13069997C211yesmaximal, characteristic, complemented
6#13069997C211yesmaximal, characteristic, complemented
7#13069757C211yesmaximal, characteristic, complemented
8#13068884C211yesmaximal, characteristic, complemented
9#13068884C211yesmaximal, characteristic, complemented
10#13068808C211yesmaximal, characteristic
11#13068796C211yesmaximal, characteristic
12#13068639C211yesmaximal, characteristic
13#13068621C211yesmaximal, characteristic, complemented
14#13068551C211yesmaximal, characteristic
15Q8×C11×C22⋊C4C211yesmaximal, characteristic
16C23×Q8×C11C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C23×C11⋊C8C2211yescharacteristic
21C2×#66931—21no—
22C2×#66922C2211yescharacteristic
23C11×#391—21no—
24C11×#391—21no—
25C11×#391C2211yescharacteristic
26C11×#391C2211yescharacteristic
27C11×#380—21no—
28C11×#380C2211yescharacteristic
29C4×C11×C22⋊C4—21no—
30C4×C11×C22⋊C4C2211yescharacteristic
31C2×#66899—24no—
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40#10622825C2211yescharacteristic
41C2×C22⋊(C11⋊C8)C2211yescharacteristic
42#10622633—24no—
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47#10622563—21no—
48#10622548C2211yescharacteristic
49#10622541C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4⋊(C11⋊C8)C2211yescharacteristic
53#10622274—21no—
54#10622269—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11—21no—
62C22×Q8×C11—22no—
63C22×Q8×C11—22no—
64C22×Q8×C11—22no—
65C22×Q8×C11—41no—
66C22×Q8×C11—41no—
67C22×Q8×C11Q814yescomplemented
68C22×Q8×C11C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11C2311yescharacteristic
72C23×Dic11—21no—
73C22×Dic22—21no—
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C4×Q8×C11—41no—
77C4×Q8×C11—41no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊Dic11—22no—
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11—41no—
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C22×C11⋊C8—22no—
103C22×C11⋊C8—22no—
104C22×C11⋊C8—41no—
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109#66931—44no—
110#66922—22no—
111#66922—41no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95D411yescharacteristic
118C11×#95D411yescharacteristic
119#66899—22no—
120#66899—22no—
121#66899—22no—
122#66899—22no—
123#66899—22no—
124#66899—41no—
125#66899—41no—
126#66899D414yes—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C22⋊(C11⋊C8)—22no—
131#66872—22no—
132#66872—22no—
133#66872—41no—
134#66872—41no—
135C4⋊(C11⋊C8)—22no—
136C4⋊(C11⋊C8)—41no—
137#25955—111nomaximal, Sylow
138C24×C11C2×D411yescharacteristic
139C2×Q8×C11—24no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—28no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—42no—
150C2×Q8×C11—42no—
151C2×Q8×C11—44no—
152C2×Q8×C11—44no—
153C2×Q8×C11—44no—
154C2×Q8×C11C2×D412yes—
155C2×Q8×C11C2×Q812yes—
156C2×Q8×C11C2×Q812yes—
157C2×Q8×C11#4112yes—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—24no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×Q812yes—
175C22×C4×C11#4112yes—
176C22×C4×C11C2411yescharacteristic
177C22×Dic11—21no—
178C22×Dic11—21no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C22×Dic11—42no—
182C22×Dic11—42no—
183C22×Dic11—81no—
184C2×Dic22—42no—
185C2×Dic22—42no—
186C2×Dic22—81no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4—42no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4SD1614yes—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—21no—
199C42×C11—21no—
200C42×C11—42no—
201C42×C11—42no—
202C22⋊Dic11—42no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11—42no—
212C4⋊Dic11—42no—
213C4⋊Dic11—81no—
214C4⋊Dic11C2×D412yes—
215Dic11⋊C4—42no—
216Dic11⋊C4—42no—
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—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—44no—
229C2×C11⋊C8C2×D412yes—
230C2×#475—111no—
231C22×#103—111no—
232#2440—111no—
233Q8×C22⋊C4D1111yescharacteristic
234#2096—111no—
235#2066—111no—
236#2066—111no—
237#2024—111no—
238#1865—111no—
239#1865—111no—
240#1853—111no—
241#1850—111no—
242#1807—111no—
243#1803—111no—
244#1787—111no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11C22⋊Q812yes—
250C23×C11C2×SD1612yes—
251C23×C11#13712yes—
252C23×C11C22×D411yescharacteristic
253Q8×C11—22no—
254Q8×C11—22no—
255Q8×C11—22no—
256Q8×C11—22no—
257Q8×C11—22no—
258Q8×C11—48no—
259Q8×C11—41no—
260Q8×C11—41no—
261Q8×C11C22⋊Q814yescomplemented
262C2×C4×C11—22no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—21no—
267C2×C4×C11—22no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
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—48no—
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×C11C22⋊Q812yes—
292C2×C4×C11C2×SD1612yes—
293C2×C4×C11C2×SD1612yes—
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×Q811yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—84no—
313Dic22—84no—
314C11⋊C8—22no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C11⋊C8—41no—
318C23×Q8C2×D1111yescharacteristic
319C23×C8—111no—
320C2×C4⋊Q8—111no—
321C2×C22⋊Q8—221no—
322C2×C4×Q8C2×D1111yescharacteristic
323C2×C4×Q8C2×D1111yescharacteristic
324C22×C4⋊C4—111no—
325#475—224no—
326C2×#106—111no—
327C2×#106—111no—
328C2×#106—111no—
329C2×#106—111no—
330C2×C4⋊C8—111no—
331C2×C4⋊C8—111no—
332C2×#103—111no—
333C2×#103—111no—
334C2×#103—111no—
335C2×#103—111no—
336C2×#103—111no—
337C2×#103—111no—
338C2×#103—111no—
339C2×#103—111no—
340C2×#103—224no—
341C2×C22⋊C8—111no—
342#398—221no—
343#395—221no—
344#391—21no—
345#391—21no—
346#391C2×D1111yescharacteristic
347#391C2×D1111yescharacteristic
348#389—111no—
349#389—111no—
350#385—221no—
351#384—111no—
352#380—21no—
353#380—111no—
354#380C2×D1111yescharacteristic
355C4×C22⋊C4—21no—
356C4×C22⋊C4C2×D1111yescharacteristic
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#47514yescomplemented
370C22×C11C2×C22⋊Q811yescharacteristic
371C22×C11D4211yescharacteristic
372C22×C11#54611yescharacteristic
373C22×C11C22×SD1611yescharacteristic
374C22×C11C2×#13711yescharacteristic
375C22×C11#57711yescharacteristic
376C22×C11#57811yescharacteristic
377C4×C11—22no—
378C4×C11—24no—
379C4×C11—22no—
380C4×C11—22no—
381C4×C11—42no—
382C4×C11—41no—
383C4×C11—41no—
384C4×C11—81no—
385C4×C11—81no—
386C4×C11C2×C22⋊Q811yescharacteristic
387C4×C11#54311yescharacteristic
388C4×C11#54611yescharacteristic
389C4×C11#55111yescharacteristic
390Dic11—42no—
391Dic11—81no—
392Dic11—81no—
393Dic11—81no—
394C22×Q8—22no—
395C22×Q8—21no—
396C22×Q8—22no—
397C22×Q8—22no—
398C22×Q8—41no—
399C22×Q8—41no—
400C22×Q8—221no—
401C22×Q8Dic2214yescomplemented
402C22×Q8C22×D1111yescharacteristic
403C22×Q8C22×D1111yescharacteristic
404C23×C4—21no—
405C23×C4—221no—
406C23×C4C22×D1111yescharacteristic
407C22×C8—111no—
408C22×C8—111no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—222no—
412C22×C8—222no—
413C22×C8—441no—
414C4⋊Q8—222no—
415C4⋊Q8—441no—
416C22⋊Q8—444no—
417C4×Q8—22no—
418C4×Q8—22no—
419C4×Q8—41no—
420C4×Q8—41no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—111no—
424C2×C4⋊C4—111no—
425C2×C4⋊C4—111no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—222no—
428C2×C4⋊C4—221no—
429C2×C4⋊C4—221no—
430C2×C4⋊C4—221no—
431C2×C4⋊C4—221no—
432C2×C4⋊C4—221no—
433C2×C4⋊C4—221no—
434C2×C4⋊C4—441no—
435C2×C4⋊C4C22×D1111yescharacteristic
436C2×C4⋊C4C22×D1111yescharacteristic
437C2×C22⋊C4—21no—
438C2×C22⋊C4—221no—
439C2×C22⋊C4C22⋊D1111yescharacteristic
440C2×C22⋊C4C22⋊D1111yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C22×D1111yescharacteristic
444C2×C42C22×D1111yescharacteristic
445#106—222no—
446#106—222no—
447#106—441no—
448#106—441no—
449C4⋊C8—222no—
450C4⋊C8—441no—
451#103—114no—
452#103—222no—
453#103—222no—
454#103—222no—
455#103—222no—
456#103—222no—
457#103—441no—
458#103—441no—
459C22⋊C8—222no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—221no—
466#95—221no—
467#95—221no—
468#95C22⋊D1111yescharacteristic
469#95C22⋊D1111yescharacteristic
470C2×C11—24no—
471C2×C11#243711yescharacteristic
472C2×C11C2×#47511yescharacteristic
473C2×C11#308211yescharacteristic
474C2×C11#327011yescharacteristic
475C2×C11D4×SD1611yescharacteristic
476C2×C11#329811yescharacteristic
477C2×C11#331611yescharacteristic
478C24C2×C22⋊D1111yescharacteristic
479C2×Q8—24no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—28no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—42no—
490C2×Q8—42no—
491C2×Q8—44no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—442no—
495C2×Q8—442no—
496C2×Q8—881no—
497C2×Q8C2×Dic2212yes—
498C2×Q8C2×Dic2212yes—
499C2×Q8D4×D1112yes—
500C2×Q8#434112yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—221no—
513C22×C4—221no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—442no—
517C22×C4—442no—
518C22×C4—881no—
519C22×C4C2×Dic2212yes—
520C22×C4#433912yes—
521C22×C4C2×C22⋊D1111yescharacteristic
522C22×C4C2×C22⋊D1111yescharacteristic
523C22×C4C2×C22⋊D1111yescharacteristic
524C22×C4C2×C22⋊D1111yescharacteristic
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C23×D1111yescharacteristic
527C2×C8—112no—
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—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—444no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—112no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—442no—
555C4⋊C4—442no—
556C4⋊C4—442no—
557C4⋊C4—442no—
558C4⋊C4—442no—
559C4⋊C4—881no—
560C22⋊C4—22no—
561C22⋊C4—42no—
562C22⋊C4—442no—
563C22⋊C4#432514yes—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—42no—
569C42—42no—
570C11#2595511yescharacteristic, complemented, Sylow
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#6697712yes—
576C23C2×#432512yes—
577C23#6700412yes—
578C23C22×C22⋊D1111yescharacteristic
579Q8—22no—
580Q8—22no—
581Q8—22no—
582Q8—22no—
583Q8—22no—
584Q8—48no—
585Q8—41no—
586Q8—41no—
587Q8—884no—
588Q8#6693114yescomplemented
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—48no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—222no—
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—884no—
631C2×C4#6697712yes—
632C2×C4C2×#432512yes—
633C2×C4C2×#432512yes—
634C2×C4C22×Dic2211yescharacteristic
635C2×C4C2×#433911yescharacteristic
636C2×C4C2×D4×D1111yescharacteristic
637C2×C4C2×#434111yescharacteristic
638C2×C4#6703711yescharacteristic
639C2×C4#6703711yescharacteristic
640C8—222no—
641C8—441no—
642C8—441no—
643C8—441no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22#1062263314yescomplemented
651C22C2×#6697711yescharacteristic
652C22D4×C22⋊D1111yescharacteristic
653C22#1062333711yescharacteristic
654C22C22×#432511yescharacteristic
655C22C2×#6700411yescharacteristic
656C22#1062336811yescharacteristic
657C22#1062336911yescharacteristic
658C4—22no—
659C4—24no—
660C4—22no—
661C4—22no—
662C4—41no—
663C4—42no—
664C4—41no—
665C4—81no—
666C4—81no—
667C4—442no—
668C4—881no—
669C4—881no—
670C4—881no—
671C4C2×#6693111yescharacteristic
672C4#1062301411yescharacteristic
673C4#1062302111yescharacteristic
674C4#1062302611yescharacteristic
675C2—24no—
676C2#1307227711yescharacteristic
677C2C2×#1062263311yescharacteristic
678C2#1307845811yescharacteristic
679C2#1308018211yescharacteristic
680C2D4×#432511yescharacteristic
681C2#1308048111yescharacteristic
682C2#1308072711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingQ8×C11×C22⋊C4C2
socleC23×C11C22×D4
prime radicalC24×C11C2×D4
hypercenterQ8×C22⋊C4D11
hypocenterC11#25955
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10622633C2semidirect
4. #13070159C2semidirect
5. #13069997C2semidirect
6. #13069997C2semidirect
7. #13069757C2semidirect
8. #13068884C2semidirect
9. #13068884C2semidirect
13. #13068621C2semidirect
67. C22×Q8×C11Q8semidirect
261. Q8×C11C22⋊Q8semidirect
369. C22×C11#475semidirect
401. C22×Q8Dic22semidirect
570. C11#25955semidirect
588. Q8#66931semidirect
650. C22#10622633semidirect

Maximal subgroups

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

subgroupindex
C2×#106226332
C22×#668992
#130723182
#130701592
#130699972
#130697572
#130688842
#130688082
#130687962
#130686392
#130686212
#130685512
Q8×C11×C22⋊C42
#2595511