Finite Group Databasebeta

← #14813300

Subgroups — #14813300

Order 2816.

938 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×#10622475C211yesmaximal, characteristic, complemented
2#13072061C211yesmaximal, characteristic
3C4⋊C4×C22⋊D11C211yesmaximal, characteristic
4#13070156C211yesmaximal, characteristic, complemented
5#13070095C211yesmaximal, characteristic, complemented
6#13070050C211yesmaximal, characteristic, complemented
7#13069814C211yesmaximal, characteristic, complemented
8#13069249C211yesmaximal, characteristic, complemented
9#13069203C211yesmaximal, characteristic, complemented
10#13069039C211yesmaximal, characteristic, complemented
11#13068923C211yesmaximal, characteristic, complemented
12#13068908C211yesmaximal, characteristic
13#13068809C211yesmaximal, characteristic, complemented
14#13068807C211yesmaximal, characteristic, complemented
15C22×C11×#106C211yesmaximal, characteristic, complemented
16C23×C8×C11C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×C4×C22⋊D11—21no—
20C2×C4×C22⋊D11C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C2×#66950C2211yescharacteristic
23C2×C4⋊C4×D11C2211yescharacteristic
24C2×C11×#106—24no—
25C2×C11×#106C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29#10622826—21no—
30#10622825—21no—
31#10622825C2211yescharacteristic
32#10622823—21no—
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66880C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38#10622607—21no—
39#10622602—21no—
40#10622600C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622598C2211yescharacteristic
43#10622596—21no—
44#10622589C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46#10622587C2211yescharacteristic
47#10622585—21no—
48C2×#66874C2211yescharacteristic
49C2×#66874C2211yescharacteristic
50C2×#66872C2211yescharacteristic
51C2×#66872C2211yescharacteristic
52#10622475—24no—
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11D411yescharacteristic
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C22×Dic22C2311yescharacteristic
68C22×C8×C11—22no—
69C22×C8×C11—22no—
70C22×C8×C11—22no—
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C2×C11×C4⋊C4—22no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4—41no—
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11D411yescharacteristic
86C4×C22⋊D11—22no—
87C4×C22⋊D11—22no—
88C4×C22⋊D11—44no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98#66977—22no—
99#66977—22no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4D411yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109#66950—22no—
110#66950—41no—
111C4⋊C4×D11—22no—
112C4⋊C4×D11—41no—
113C11×#106—22no—
114C11×#106—22no—
115C11×#106—22no—
116C11×#106D414yescomplemented
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)—22no—
125(C2×D11)⋊C8—22no—
126(C2×D11)⋊C8—22no—
127#66880—22no—
128#66880—22no—
129#66874—22no—
130#66874—41no—
131#66872—22no—
132#66872—41no—
133#26128—111nomaximal, Sylow
134C24×C11C2×D411yescharacteristic
135C23×D11C2×D411yescharacteristic
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—42no—
145C22×C4×C11—42no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11—81no—
149C22×C4×C11—81no—
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11#4112yes—
152C22×C4×C11#4112yes—
153C22×C4×C11C2411yescharacteristic
154C2×C22⋊D11—22no—
155C2×C22⋊D11—22no—
156C2×C22⋊D11SD1614yes—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164C2×C4×D11—21no—
165C2×C4×D11—21no—
166C2×C4×D11—21no—
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—42no—
171C2×C4×D11—42no—
172C2×C4×D11—81no—
173C2×Dic22—21no—
174C2×Dic22—21no—
175C2×Dic22—21no—
176C2×Dic22—21no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×C8×C11—28no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11C2×D412yes—
185C2×C8×C11#4112yes—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4C2×D412yes—
195C11×C4⋊C4C2×D412yes—
196C22⋊Dic11—22no—
197C22⋊Dic11—42no—
198C22⋊Dic11—42no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202(C2×D11)⋊C4—81no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—42no—
210C4⋊Dic11—81no—
211Dic11⋊C4—22no—
212Dic11⋊C4—42no—
213Dic11⋊C4—42no—
214Dic11⋊C4—42no—
215Dic11⋊C4—81no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—42no—
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×#483—111no—
226C22×#106D1111yescharacteristic, complemented
227#2417—111no—
228D4×C4⋊C4—111no—
229#2096—111no—
230#2084—111no—
231#2077—111no—
232#2035—111no—
233#1927—111no—
234#1920—111no—
235#1892—111no—
236#1872—111no—
237#1869—111no—
238#1853—111no—
239#1853—111no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11#12312yes—
245C23×C11C2×SD1612yes—
246C23×C11#13712yes—
247C23×C11C22×D411yescharacteristic
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11C2×SD1612yes—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—84no—
274C2×C4×C11—84no—
275C2×C4×C11#12312yes—
276C2×C4×C11C22×D411yescharacteristic
277C2×C4×C11C2×#4111yescharacteristic
278C2×C4×C11C2×#4111yescharacteristic
279C2×C4×C11C2×#4111yescharacteristic
280C2×C4×C11H(5,𝔽2)11yescharacteristic
281C2×C4×C112−1+411yescharacteristic
282C22⋊D11—28no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11C2×SD1612yes—
304C4×D11—41no—
305C4×D11—41no—
306C4×D11—41no—
307C4×D11—41no—
308C4×D11—84no—
309Dic22—41no—
310Dic22—41no—
311Dic22—41no—
312Dic22—41no—
313C8×C11—22no—
314C8×C11—22no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C23×C8C2×D1111yescharacteristic
318C2×C22⋊Q8—111no—
319C2×C22⋊Q8—111no—
320C2×C4×D4—111no—
321C2×C4×D4—221no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4C2×D1111yescharacteristic
324C22×C4⋊C4C2×D1111yescharacteristic
325#483—224no—
326C2×#106—24no—
327C2×#106—111no—
328C2×#106—111no—
329C2×#106C2×D1111yescharacteristic
330C2×#106C2×D1111yescharacteristic
331C2×#106C2×D1111yescharacteristic
332C2×#106C2×D1111yescharacteristic
333C2×#103—111no—
334C2×#103—111no—
335C2×#103—111no—
336C2×#103—111no—
337C2×C22⋊C8—111no—
338C2×C22⋊C8—111no—
339C2×C22⋊C8—111no—
340#398—221no—
341#396—221no—
342#391—111no—
343#389—111no—
344#389—221no—
345#386—221no—
346#385—221no—
347#385—221no—
348#384—111no—
349#380—111no—
350#380—111no—
351#380—111no—
352#380—221no—
353C4×C4⋊C4—111no—
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#48314yescomplemented
369C22×C11C2×#12311yescharacteristic
370C22×C11D4211yescharacteristic
371C22×C11#54711yescharacteristic
372C22×C11C22×SD1611yescharacteristic
373C22×C11C2×#13711yescharacteristic
374C22×C11#57711yescharacteristic
375C22×C11#57711yescharacteristic
376C2×D11—22no—
377C2×D11—22no—
378C2×D11—22no—
379C2×D11—41no—
380C2×D11—41no—
381C2×D11—41no—
382C2×D11—41no—
383C4×C11—22no—
384C4×C11—42no—
385C4×C11—42no—
386C4×C11—81no—
387C4×C11—81no—
388C4×C11#52511yescharacteristic
389C4×C11#53911yescharacteristic
390C4×C11#54811yescharacteristic
391C4×C11#55311yescharacteristic
392Dic11—22no—
393Dic11—41no—
394Dic11—41no—
395Dic11—81no—
396Dic11—81no—
397Dic11—81no—
398Dic11—81no—
399C22×Q8—111no—
400C22×D4—111no—
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—111no—
404C23×C4—221no—
405C23×C4C22×D1111yescharacteristic
406C22×C8—22no—
407C22×C8—22no—
408C22×C8—22no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8C22×D1111yescharacteristic
412C22×C8C22×D1111yescharacteristic
413C22⋊Q8—222no—
414C22⋊Q8—222no—
415C22⋊Q8—222no—
416C22⋊Q8—441no—
417C4×D4—222no—
418C4×D4—222no—
419C4×D4—444no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—41no—
425C2×C4⋊C4—41no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—111no—
428C2×C4⋊C4—111no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—222no—
431C2×C4⋊C4—221no—
432C2×C4⋊C4—221no—
433C2×C4⋊C4—221no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—441no—
438C2×C4⋊C4C22×D1111yescharacteristic
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—111no—
443C2×C22⋊C4—111no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C42—111no—
450C2×C42—221no—
451#106—22no—
452#106—22no—
453#106—22no—
454#106—222no—
455#106—441no—
456#106C22⋊D1114yescomplemented
457#103—222no—
458#103—222no—
459#103—222no—
460#103—441no—
461C22⋊C8—222no—
462C22⋊C8—222no—
463C22⋊C8—222no—
464#95—221no—
465#95—221no—
466#95—221no—
467#95—221no—
468#95—221no—
469#95—221no—
470#95—221no—
471C2×C11—24no—
472C2×C11#244311yescharacteristic
473C2×C11C2×#48311yescharacteristic
474C2×C11#309911yescharacteristic
475C2×C11#326611yescharacteristic
476C2×C11D4×SD1611yescharacteristic
477C2×C11#333511yescharacteristic
478C2×C11#334411yescharacteristic
479D11—42no—
480C24—111no—
481C24D4×D1111yescharacteristic
482C2×Q8—221no—
483C2×Q8—221no—
484C2×Q8—221no—
485C2×Q8—221no—
486C2×Q8—221no—
487C2×Q8—221no—
488C2×D4—114no—
489C2×D4—222no—
490C2×D4—222no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—111no—
506C22×C4—111no—
507C22×C4—111no—
508C22×C4—221no—
509C22×C4—221no—
510C22×C4—221no—
511C22×C4—221no—
512C22×C4—221no—
513C22×C4—221no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—442no—
519C22×C4—442no—
520C22×C4—881no—
521C22×C4#433912yes—
522C22×C4D4×D1111yescharacteristic
523C22×C4#434312yes—
524C22×C4C23×D1111yescharacteristic
525C2×C8—28no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8#433912yes—
537C2×C8C2×C22⋊D1112yes—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—222no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—442no—
554C4⋊C4—442no—
555C4⋊C4—442no—
556C4⋊C4—442no—
557C4⋊C4—881no—
558C4⋊C4—881no—
559C4⋊C4C2×C22⋊D1112yes—
560C4⋊C4C2×C22⋊D1112yes—
561C22⋊C4—222no—
562C22⋊C4—222no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4—442no—
566C22⋊C4—442no—
567C22⋊C4—881no—
568C42—221no—
569C42—221no—
570C42—442no—
571C11#2612811yescharacteristic, complemented, Sylow
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—112no—
577C23—221no—
578C23—221no—
579C23—221no—
580C23—221no—
581C23—221no—
582C23—221no—
583C23#6694712yes—
584C23SD16×D1112yes—
585C23#6696812yes—
586C23C2×D4×D1111yescharacteristic
587Q8—441no—
588Q8—441no—
589Q8—441no—
590Q8—441no—
591D4—228no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4—112no—
613C2×C4—221no—
614C2×C4—221no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
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—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—884no—
638C2×C4#6694712yes—
639C2×C4C2×#433911yescharacteristic
640C2×C4C2×#433911yescharacteristic
641C2×C4#6703711yescharacteristic
642C2×C4C2×#434311yescharacteristic
643C2×C4#6704011yescharacteristic
644C2×C4C22×C22⋊D1111yescharacteristic
645C8—22no—
646C8—22no—
647C8—441no—
648C8—441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—222no—
656C22—222no—
657C22—222no—
658C22—441no—
659C22—441no—
660C22—441no—
661C22—441no—
662C22#1062247514yescomplemented
663C22C2×#6694711yescharacteristic
664C22#1062303811yescharacteristic
665C22C2×SD16×D1111yescharacteristic
666C22C2×#6696811yescharacteristic
667C22#1062329311yescharacteristic
668C22#1062329311yescharacteristic
669C22D4×C22⋊D1111yescharacteristic
670C4—22no—
671C4—42no—
672C4—42no—
673C4—81no—
674C4—81no—
675C4—222no—
676C4—441no—
677C4—441no—
678C4—881no—
679C4—881no—
680C4—881no—
681C4—881no—
682C4#1062304511yescharacteristic
683C4#1062304611yescharacteristic
684C4#1062332211yescharacteristic
685C4#1062334811yescharacteristic
686C2—24no—
687C2—442no—
688C2#1307235111yescharacteristic
689C2C2×#1062247511yescharacteristic
690C2#1307861011yescharacteristic
691C2#1308012611yescharacteristic
692C2SD16×C22⋊D1111yescharacteristic
693C2#1308096911yescharacteristic
694C2#1308106711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#106C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
hypercenterC22×#106D11
hypocenterC11#26128
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
1. C2×#10622475C2semidirect
4. #13070156C2semidirect
5. #13070095C2semidirect
6. #13070050C2semidirect
7. #13069814C2semidirect
8. #13069249C2semidirect
9. #13069203C2semidirect
10. #13069039C2semidirect
11. #13068923C2semidirect
13. #13068809C2semidirect
14. #13068807C2semidirect
15. C22×C11×#106C2semidirect
116. C11×#106D4semidirect
226. C22×#106D11semidirect
368. C22×C11#483semidirect
456. #106C22⋊D11semidirect
571. C11#26128semidirect
662. C22#10622475semidirect

Maximal subgroups

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

subgroupindex
C2×#106224752
#130720612
C4⋊C4×C22⋊D112
#130701562
#130700952
#130700502
#130698142
#130692492
#130692032
#130690392
#130689232
#130689082
#130688092
#130688072
C22×C11×#1062
#2612811