Finite Group Databasebeta

← #14775374

Subgroups — #14775374

Order 2816.

780 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078525C211yesmaximal, characteristic
2#13077270C211yesmaximal, characteristic, complemented
3#13069361C211yesmaximal, characteristic, complemented
4#13069323C211yesmaximal, characteristic, complemented
5#13069261C211yesmaximal, characteristic, complemented
6#13069215C211yesmaximal, characteristic, complemented
7#13069212C211yesmaximal, characteristic, complemented
8#13069060C211yesmaximal, characteristic
9#13068891C211yesmaximal, characteristic, complemented
10#13068821C211yesmaximal, characteristic, complemented
11#13068496C211yesmaximal, characteristic, complemented
12#13068451C211yesmaximal, characteristic, complemented
13C22⋊C8×Dic11C211yesmaximal, characteristic, complemented
14C2×#10622193C211yesmaximal, characteristic, complemented
15C11×#2933C211yesmaximal, characteristic
16C2×C11×#131C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C11×#525C2211yescharacteristic
19C2×#66979C2211yescharacteristic
20C22×C4×Dic11C2211yescharacteristic
21C11×#436—21no—
22C11×#435—21no—
23C11×#435—21no—
24C8×D4×C11—21no—
25C11×#424C2211yescharacteristic
26C11×#408C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28C11×#405C2211yescharacteristic
29C2×#66901C2211yescharacteristic
30C2×#66901C2211yescharacteristic
31#10622846C2211yescharacteristic
32#10622846C2211yescharacteristic
33#10622820C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×#66886C2211yescharacteristic
36C2×#66886C2211yescharacteristic
37#10622715C2211yescharacteristic
38#10622715C2211yescharacteristic
39#10622714C2211yescharacteristic
40#10622714C2211yescharacteristic
41C2×C8×Dic11C2211yescharacteristic
42C2×C8×Dic11C2211yescharacteristic
43#10622658C411yescharacteristic, complemented
44#10622658C411yescharacteristic, complemented
45#10622657C411yescharacteristic, complemented
46#10622656C411yescharacteristic, complemented
47#10622648C411yescharacteristic, complemented
48#10622648C411yescharacteristic, complemented
49#10622647C411yescharacteristic, complemented
50#10622646C411yescharacteristic, complemented
51#10622611C2211yescharacteristic
52#10622611C2211yescharacteristic
53#10622333—21no—
54#10622333—21no—
55#10622332—21no—
56#10622331—21no—
57#10622196C2211yescharacteristic
58#10622196C2211yescharacteristic
59#10622193C2211yescharacteristic
60#10622193C2211yescharacteristic
61#10622193C2211yescharacteristic
62#10622193C2211yescharacteristic
63#10622188C2211yescharacteristic
64#10622188C2211yescharacteristic
65#10622170C2211yescharacteristic
66#10622170C2211yescharacteristic
67C2×C11×#41C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×Dic11—21no—
70C11×#131—22no—
71C11×#131—41no—
72C2×C11×M16—21no—
73C2×C11×M16—21no—
74C2×C11×M16—22no—
75C2×C11×M16—41no—
76C2×C11×M16C2311yescharacteristic
77C2×C11×M16C2311yescharacteristic
78C22×C8×C11—21no—
79C22×C8×C11—21no—
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C11×#123—21no—
83C11×C22⋊Q8C2×C411yescharacteristic
84C11×C22⋊Q8C2×C411yescharacteristic
85C11×#121C2×C411yescharacteristic
86C11×#121C2×C411yescharacteristic
87C11×#120—21no—
88C4×D4×C11—21no—
89C4×D4×C11—21no—
90C11×#117C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92#66979—21no—
93#66979—21no—
94#66979C2×C411yescharacteristic
95#66979C2×C411yescharacteristic
96#66979C2311yescharacteristic
97#66979C2311yescharacteristic
98C2×C4⋊Dic11C2×C411yescharacteristic
99C2×C4⋊Dic11C2×C411yescharacteristic
100C2×C4×Dic11—21no—
101C2×C4×Dic11—22no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11—41no—
104C2×C4×Dic11C2311yescharacteristic
105C2×C4×Dic11C2311yescharacteristic
106C2×#4318C2311yescharacteristic
107C2×#4318C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C11×C4⋊C8—21no—
111C11×C4⋊C8—21no—
112C11×C22⋊C8—21no—
113C11×C22⋊C8—21no—
114C11×C22⋊C8D411yescharacteristic
115C11×C22⋊C8D411yescharacteristic
116C11×C22⋊C8D411yescharacteristic
117C11×C22⋊C8D411yescharacteristic
118C11×#97—21no—
119C4×C8×C11—21no—
120#66901—22no—
121#66901—41no—
122#66899C2×C411yescharacteristic, complemented
123#66899C2×C411yescharacteristic, complemented
124#66899C2×C411yescharacteristic, complemented
125#66899C2×C411yescharacteristic, complemented
126#66896C2×C411yescharacteristic, complemented
127#66896C2×C411yescharacteristic, complemented
128#66896C2×C411yescharacteristic, complemented
129#66896C2×C411yescharacteristic, complemented
130C22⋊(C11⋊C8)—21no—
131C22⋊(C11⋊C8)—21no—
132C22⋊(C11⋊C8)C2×C411yescharacteristic
133C22⋊(C11⋊C8)C2×C411yescharacteristic
134C22⋊(C11⋊C8)C2×C411yescharacteristic
135C22⋊(C11⋊C8)C2×C411yescharacteristic
136#66886—22no—
137#66886—41no—
138#66879—21no—
139#66879—21no—
140Dic11⋊C8—21no—
141Dic11⋊C8—21no—
142Dic11⋊C8—21no—
143Dic11⋊C8—21no—
144C8×Dic11—21no—
145C8×Dic11—21no—
146C8×Dic11—22no—
147C8×Dic11—41no—
148#66872C2×C411yescharacteristic, complemented
149#66872C2×C411yescharacteristic, complemented
150#66872C2×C411yescharacteristic, complemented
151#66872C2×C411yescharacteristic, complemented
152#66871C2×C411yescharacteristic, complemented
153#66871C2×C411yescharacteristic, complemented
154#66871C2×C411yescharacteristic, complemented
155#66871C2×C411yescharacteristic, complemented
156#22948—111nomaximal, Sylow
157C24×C11#4111yescharacteristic
158C11×#41—21no—
159C11×#41—21no—
160C11×#41—21no—
161C11×#41—21no—
162C2×Q8×C11C22×C411yescharacteristic
163C2×D4×C11—21no—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11C22×C411yescharacteristic
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11C22×C411yescharacteristic
173C22×C4×C11C22×C411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11#4111yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11—24no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—42no—
184C22×Dic11—42no—
185C11×M16—21no—
186C11×M16—21no—
187C11×M16—21no—
188C11×M16—42no—
189C11×M16—42no—
190C11×M16#4112yes—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—42no—
198C2×C8×C11—42no—
199C2×C8×C11C2×D411yescharacteristic
200C2×C8×C11C2×D411yescharacteristic
201C2×C8×C11C2×D411yescharacteristic
202C2×C8×C11C2×D411yescharacteristic
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4C22×C411yescharacteristic
206C11×C4⋊C4C22×C411yescharacteristic
207C11×C22⋊C4—21no—
208C11×C22⋊C4—21no—
209C11×C22⋊C4—21no—
210C11×C22⋊C4—21no—
211C11×C22⋊C4—21no—
212C42×C11—21no—
213C22⋊Dic11—21no—
214C22⋊Dic11—21no—
215C22⋊Dic11—21no—
216C22⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11C22×C411yescharacteristic
220C4⋊Dic11C22×C411yescharacteristic
221C4⋊Dic11C22×C411yescharacteristic
222C4⋊Dic11C22×C411yescharacteristic
223C4×Dic11—21no—
224C4×Dic11—21no—
225C4×Dic11—21no—
226C4×Dic11—21no—
227C4×Dic11—21no—
228C4×Dic11—21no—
229C4×Dic11—21no—
230C4×Dic11—42no—
231C4×Dic11#4112yes—
232#4318—21no—
233#4318—21no—
234#4318—21no—
235#4318—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8C22×C411yescharacteristic
243C2×C11⋊C8C22×C411yescharacteristic
244C2×C11⋊C8C22×C411yescharacteristic
245C2×C11⋊C8C22×C411yescharacteristic
246#3091—111no—
247#2933D1111yescharacteristic
248#2924—111no—
249#1945—111no—
250#1937—111no—
251#1929—111no—
252#1922—111no—
253#1922—111no—
254#1896—111no—
255#1866—111no—
256#1855—111no—
257#1772—111no—
258#1764—111no—
259C4×C22⋊C8—111no—
260C2×#339—111no—
261C23×C11—21no—
262C23×C11—21no—
263C23×C11—22no—
264C23×C11—21no—
265C23×C11—41no—
266C23×C11C4×D411yescharacteristic
267C23×C11C4×D411yescharacteristic
268C23×C11C2×#4111yescharacteristic
269Q8×C11—21no—
270Q8×C11—21no—
271D4×C11—21no—
272D4×C11—21no—
273D4×C11—41no—
274D4×C11—41no—
275D4×C11—42no—
276D4×C11—81no—
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—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11C4×D411yescharacteristic
293C2×C4×C11C4×D411yescharacteristic
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—48no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—42no—
312C2×Dic11—81no—
313C8×C11—21no—
314C8×C11—21no—
315C8×C11—22no—
316C8×C11—21no—
317C8×C11—21no—
318C8×C11—41no—
319C11⋊C8—21no—
320C11⋊C8—21no—
321C11⋊C8—21no—
322C11⋊C8—21no—
323C11⋊C8—41no—
324C11⋊C8—41no—
325C2×#131C2×D1111yescharacteristic
326C22×M16C2×D1111yescharacteristic
327#525C2×D1111yescharacteristic
328C2×#117—111no—
329C22×C42—111no—
330#485—111no—
331#485—111no—
332#484—111no—
333#483—111no—
334#482—111no—
335#482—111no—
336#481—111no—
337#480—111no—
338#436—21no—
339#435—21no—
340#435—21no—
341C8×D4—21no—
342#433—221no—
343#433—221no—
344#432—221no—
345#431—221no—
346C2×#108—111no—
347C2×#108—111no—
348#427—111no—
349#427—111no—
350#424—111no—
351#424—111no—
352#424C2×D1111yescharacteristic
353C2×#104—111no—
354C2×#104—111no—
355#416—111no—
356#416—111no—
357#408C2×D1111yescharacteristic
358#407—111no—
359C2×C22⋊C8—111no—
360C2×C22⋊C8C2×D1111yescharacteristic
361#405—111no—
362#405—111no—
363#405C2×D1111yescharacteristic
364C2×C4×C8—111no—
365C2×C4×C8—111no—
366#341—111no—
367#341—111no—
368#339—111no—
369#339—111no—
370#339—111no—
371#339—111no—
372#339—111no—
373#339—111no—
374#336—111no—
375#336—111no—
376C22×C11—21no—
377C22×C11—21no—
378C22×C11—21no—
379C22×C11—21no—
380C22×C11—21no—
381C22×C11—21no—
382C22×C11—21no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11#44312yes—
389C22×C11C2×C4×D411yescharacteristic
390C22×C11#55111yescharacteristic
391C22×C11#55211yescharacteristic
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11C4×#4111yescharacteristic
398C4×C11#52011yescharacteristic
399C4×C11#54611yescharacteristic
400C4×C11#54711yescharacteristic
401Dic11—24no—
402Dic11—42no—
403Dic11—41no—
404Dic11—41no—
405Dic11—41no—
406Dic11—41no—
407C2×#41C22×D1111yescharacteristic
408C23×C4—221no—
409C23×C4C22×D1111yescharacteristic
410#131—22no—
411#131—41no—
412C2×M16—21no—
413C2×M16—21no—
414C2×M16—22no—
415C2×M16—41no—
416C2×M16—111no—
417C2×M16—111no—
418C2×M16C22×D1111yescharacteristic
419C2×M16C22×D1111yescharacteristic
420C22×C8—21no—
421C22×C8—21no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426#123—21no—
427C22⋊Q8C4×D1111yescharacteristic
428C22⋊Q8C4×D1111yescharacteristic
429#121C4×D1111yescharacteristic
430#121C4×D1111yescharacteristic
431#120—21no—
432C4×D4—21no—
433C4×D4—21no—
434#117—111no—
435#117—111no—
436#117—111no—
437#117—111no—
438#117—221no—
439#117—221no—
440#117C22×D1111yescharacteristic
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C22⋊C4—221no—
444C2×C42—111no—
445C2×C42—111no—
446C2×C42—222no—
447C2×C42—221no—
448C2×C42—221no—
449C2×C42—441no—
450#108—222no—
451#108—441no—
452#107—111no—
453#107—111no—
454#107—111no—
455#107—111no—
456#106—111no—
457#106—111no—
458#106—111no—
459#106—111no—
460C4⋊C8—21no—
461C4⋊C8—21no—
462C4⋊C8—221no—
463C4⋊C8—221no—
464C4⋊C8—221no—
465C4⋊C8—221no—
466#104—222no—
467#104—441no—
468#103—111no—
469#103—111no—
470#103—111no—
471#103—111no—
472#102—111no—
473#102—111no—
474#102—111no—
475#102—111no—
476C22⋊C8—21no—
477C22⋊C8—21no—
478C22⋊C8—111no—
479C22⋊C8—111no—
480C22⋊C8—111no—
481C22⋊C8—111no—
482C22⋊C8—221no—
483C22⋊C8—221no—
484C22⋊C8C22⋊D1111yescharacteristic
485C22⋊C8C22⋊D1111yescharacteristic
486C22⋊C8C22⋊D1111yescharacteristic
487C22⋊C8C22⋊D1111yescharacteristic
488#97—21no—
489#97—221no—
490#97—221no—
491C4×C8—21no—
492C4×C8—222no—
493C4×C8—221no—
494C4×C8—221no—
495C4×C8—441no—
496C2×C11—21no—
497C2×C11—21no—
498C2×C11—22no—
499C2×C11—41no—
500C2×C11—81no—
501C2×C11#235911yescharacteristic
502C2×C11C2×#44311yescharacteristic
503C2×C11#295611yescharacteristic
504C24#433911yescharacteristic
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509C2×Q8C2×C4×D1111yescharacteristic
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4C2×C4×D1111yescharacteristic
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—221no—
520C22×C4—224no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—442no—
525C22×C4—442no—
526C22×C4C2×C4×D1111yescharacteristic
527C22×C4C2×C4×D1111yescharacteristic
528C22×C4#433911yescharacteristic
529C22×C4C2×C22⋊D1111yescharacteristic
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532M16—21no—
533M16—21no—
534M16—21no—
535M16—42no—
536M16—42no—
537M16—221no—
538M16—221no—
539M16—221no—
540M16—221no—
541M16#434112yes—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—42no—
549C2×C8—42no—
550C2×C8—111no—
551C2×C8—111no—
552C2×C8—111no—
553C2×C8—111no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8C2×C22⋊D1111yescharacteristic
561C2×C8C2×C22⋊D1111yescharacteristic
562C2×C8C2×C22⋊D1111yescharacteristic
563C2×C8C2×C22⋊D1111yescharacteristic
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—111no—
567C4⋊C4—111no—
568C4⋊C4—111no—
569C4⋊C4—111no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4C2×C4×D1111yescharacteristic
573C4⋊C4C2×C4×D1111yescharacteristic
574C22⋊C4—21no—
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—221no—
580C22⋊C4—221no—
581C22⋊C4—221no—
582C22⋊C4—221no—
583C42—21no—
584C42—112no—
585C42—221no—
586C42—221no—
587C42—221no—
588C42—221no—
589C42—221no—
590C42—221no—
591C42—221no—
592C42—442no—
593C11#2294811yescharacteristic, complemented, Sylow
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23C4×C22⋊D1111yescharacteristic
600C23C4×C22⋊D1111yescharacteristic
601C23C2×#433911yescharacteristic
602Q8—21no—
603Q8—21no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—41no—
608D4—41no—
609D4—81no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—448no—
634C2×C4—441no—
635C2×C4—442no—
636C2×C4—441no—
637C2×C4—881no—
638C2×C4C4×C22⋊D1111yescharacteristic
639C2×C4C4×C22⋊D1111yescharacteristic
640C2×C4C22×C4×D1111yescharacteristic
641C2×C4C2×#434111yescharacteristic
642C2×C4#6703711yescharacteristic
643C2×C4#41×D1111yescharacteristic
644C2×C4#6704311yescharacteristic
645C2×C4C22×C22⋊D1111yescharacteristic
646C8—21no—
647C8—21no—
648C8—22no—
649C8—21no—
650C8—21no—
651C8—41no—
652C8—221no—
653C8—221no—
654C8—221no—
655C8—221no—
656C8—441no—
657C8—441no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—42no—
666C22—42no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22#1062275712yes—
671C22#1062307211yescharacteristic
672C22#1062308711yescharacteristic
673C22C2×C4×C22⋊D1111yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—224no—
680C4—442no—
681C4—441no—
682C4—441no—
683C4—441no—
684C4—441no—
685C4C4×#434111yescharacteristic
686C4#1062307711yescharacteristic
687C4#1062333711yescharacteristic
688C4#1062335511yescharacteristic
689C2—21no—
690C2—22no—
691C2—21no—
692C2—41no—
693C2—81no—
694C2#1307160211yescharacteristic
695C2C2×#1062275711yescharacteristic
696C2#1307752311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2933C2
socleC22×C11C2×C4×D4
prime radicalC11×#525C22
cosocleC22×C4×C11C24
hypercenter#2933D11
hypocenterC11#22948
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C22⋊C8 ◁ #2933

Complements

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

NH ≅ G/Ntype
2. #13077270C2semidirect
3. #13069361C2semidirect
4. #13069323C2semidirect
5. #13069261C2semidirect
6. #13069215C2semidirect
7. #13069212C2semidirect
9. #13068891C2semidirect
10. #13068821C2semidirect
11. #13068496C2semidirect
12. #13068451C2semidirect
13. C22⋊C8×Dic11C2semidirect
14. C2×#10622193C2semidirect
43. #10622658C4semidirect
44. #10622658C4semidirect
45. #10622657C4semidirect
46. #10622656C4semidirect
47. #10622648C4semidirect
48. #10622648C4semidirect
49. #10622647C4semidirect
50. #10622646C4semidirect
122. #66899C2×C4semidirect
123. #66899C2×C4semidirect
124. #66899C2×C4semidirect
125. #66899C2×C4semidirect
126. #66896C2×C4semidirect
127. #66896C2×C4semidirect
128. #66896C2×C4semidirect
129. #66896C2×C4semidirect
148. #66872C2×C4semidirect
149. #66872C2×C4semidirect
150. #66872C2×C4semidirect
151. #66872C2×C4semidirect
152. #66871C2×C4semidirect
153. #66871C2×C4semidirect
154. #66871C2×C4semidirect
155. #66871C2×C4semidirect
593. C11#22948semidirect

Maximal subgroups

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

subgroupindex
#130785252
#130772702
#130693612
#130693232
#130692612
#130692152
#130692122
#130690602
#130688912
#130688212
#130684962
#130684512
C22⋊C8×Dic112
C2×#106221932
C11×#29332
#2294811