Finite Group Databasebeta

← #14926853

Subgroups — #14926853

Order 2816.

1978 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076968C211yesmaximal, characteristic, complemented
2#13076968C211yesmaximal, characteristic, complemented
3#13076903C212yesmaximal
4#13074586C212yesmaximal, complemented
5#13074421C212yesmaximal
6#13074061C214yesmaximal, complemented
7#13074031C214yesmaximal, complemented
8#13073049C212yesmaximal, complemented
9#13072990C212yesmaximal, complemented
10#13072215C212yesmaximal, complemented
11#13072141C212yesmaximal, complemented
12#13071349C212yesmaximal, complemented
13#13071214C212yesmaximal
14C4×#66977C212yesmaximal, complemented
15C2×C4×C11×C22⋊C4C211yesmaximal, characteristic
16C24×C4×C11C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C42×C11C2211yescharacteristic
20C22×C42×C11C2211yescharacteristic
21C2×#66977C2212yes—
22C2×#66977C2212yes—
23C2×#66977C2212yes—
24C2×#66977C2212yes—
25C2×#66922C2211yescharacteristic, complemented
26C2×#66922C2211yescharacteristic, complemented
27C2×C4×Dic22C2212yescomplemented
28C4×C11×C22⋊C4C2212yes—
29C4×C11×C22⋊C4C2212yes—
30C4×C11×C22⋊C4C2212yes—
31C4×C11×C22⋊C4C2212yes—
32C2×C11×#95C2211yescharacteristic
33C2×C11×#95C2211yescharacteristic
34#10622860C2214yes—
35#10622825C2212yes—
36#10622825C2212yes—
37#10622825C2212yes—
38#10622825C2212yes—
39#10622825C2212yes—
40#10622825C2212yes—
41#10622823C2214yes—
42#10622823C2214yes—
43#10622823C2214yes—
44#10622823C2214yes—
45C4×C22⋊Dic11C2214yes—
46#10622564C2214yes—
47#10622564C2214yes—
48#10622564C2214yes—
49#10622564C2214yes—
50#10622562C2214yes—
51#10622561C2214yes—
52#10622561C2214yes—
53#10622560C2214yes—
54#10622548C2211yescharacteristic, complemented
55#10622548C2211yescharacteristic, complemented
56C4×C4⋊Dic11C2212yescomplemented
57#10622546C2214yescomplemented
58C4×Dic11⋊C4C2214yescomplemented
59#10622542C2212yescomplemented
60#10622542C2212yescomplemented
61#10622542C2212yescomplemented
62#10622541C2212yescomplemented
63#10622541C2212yescomplemented
64#10622541C2212yescomplemented
65#10622541C2212yescomplemented
66#10622541C2212yescomplemented
67#10622273C2214yescomplemented
68#10622273C2214yescomplemented
69#10622270C2214yescomplemented
70#10622270C2214yescomplemented
71#10622268C2214yescomplemented
72#10622267C2214yescomplemented
73#10622260C2214yescomplemented
74#10622259C2214yescomplemented
75C25×C11C2311yescharacteristic
76C23×C4×C11—24no—
77C23×C4×C11—42no—
78C23×C4×C11—42no—
79C23×C4×C11C2312yes—
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2312yes—
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C22×Dic22C2312yes—
88C22×Dic22C2312yes—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4Q818yescomplemented
91C2×C11×C22⋊C4C2312yes—
92C2×C11×C22⋊C4C2312yes—
93C2×C11×C22⋊C4C2312yes—
94C2×C11×C22⋊C4C2312yes—
95C2×C42×C11—42no—
96C2×C42×C11—42no—
97C2×C42×C11C2312yes—
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C2×C42×C11C2312yes—
103C2×C22⋊Dic11C2314yes—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2314yes—
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2314yes—
108C2×C22⋊Dic11C2314yes—
109C2×C4⋊Dic11C2312yes—
110C2×C4⋊Dic11C2312yes—
111C2×C4⋊Dic11C2312yes—
112C2×C4⋊Dic11C2312yes—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2312yes—
119#66977—28no—
120#66977—28no—
121#66977—44no—
122#66977—44no—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2314yes—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×C4×Dic11C2314yes—
130C2×C4×Dic11C2314yes—
131#66922—42no—
132#66922—42no—
133C4×Dic22—44no—
134C11×#95C2312yes—
135C11×#95C2312yes—
136C11×#95C2312yes—
137C11×#95C2312yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142C11⋊#95C2314yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2314yes—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148#35014—111nomaximal, Sylow
149C24×C11—22no—
150C24×C11—22no—
151C24×C11—41no—
152C24×C11—41no—
153C24×C11—41no—
154C24×C11—41no—
155C24×C11C2×Q814yes—
156C24×C11C2412yes—
157C24×C11C2411yescharacteristic
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—22no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11—41no—
167C22×C4×C11—41no—
168C22×C4×C11—41no—
169C22×C4×C11—41no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11—41no—
173C22×C4×C11—41no—
174C22×C4×C11—41no—
175C22×C4×C11—41no—
176C22×C4×C11—41no—
177C22×C4×C11—41no—
178C22×C4×C11—416no—
179C22×C4×C11C2×Q814yes—
180C22×C4×C11C2×Q814yes—
181C22×C4×C11#4114yes—
182C22×C4×C11#4114yes—
183C22×C4×C11C2412yes—
184C22×C4×C11C2412yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C22×C4×C11C2411yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×C4×C11C2411yescharacteristic
192C22×Dic11C2414yes—
193C22×Dic11C2414yes—
194C22×Dic11C2414yes—
195C22×Dic11C2414yes—
196C2×Dic22—24no—
197C2×Dic22—24no—
198C2×Dic22—24no—
199C2×Dic22—24no—
200C2×Dic22—42no—
201C2×Dic22—42no—
202C11×C22⋊C4—24no—
203C11×C22⋊C4—24no—
204C11×C22⋊C4C2×Q818yes—
205C11×C22⋊C4C2×Q818yes—
206C42×C11—24no—
207C42×C11—22no—
208C42×C11—22no—
209C42×C11—42no—
210C42×C11—41no—
211C42×C11—41no—
212C22⋊Dic11—28no—
213C22⋊Dic11—28no—
214C22⋊Dic11—44no—
215C22⋊Dic11—44no—
216C22⋊Dic11—44no—
217C22⋊Dic11—44no—
218C4⋊Dic11—24no—
219C4⋊Dic11—24no—
220C4⋊Dic11—24no—
221C4⋊Dic11—24no—
222C4⋊Dic11—42no—
223C4⋊Dic11—42no—
224C4⋊Dic11—42no—
225C4⋊Dic11—42no—
226C4⋊Dic11—42no—
227C4⋊Dic11—42no—
228Dic11⋊C4—28no—
229Dic11⋊C4—28no—
230Dic11⋊C4—44no—
231Dic11⋊C4—44no—
232Dic11⋊C4—44no—
233Dic11⋊C4—44no—
234C4×Dic11—44no—
235C4×Dic11—44no—
236#2857—111no—
237#2857—111no—
238#2848—112no—
239#2646—112no—
240#2626—112no—
241#2589—114no—
242#2587—114no—
243#2497—112no—
244#2492—112no—
245#2429—112no—
246#2423—112no—
247#2329—112no—
248#2312—112no—
249C4×C22⋊Q8—112no—
250C2×C4×C22⋊C4D1111yescharacteristic
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—28no—
256C23×C11—22no—
257C23×C11—22no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—22no—
262C23×C11—44no—
263C23×C11—44no—
264C23×C11—44no—
265C23×C11—44no—
266C23×C11—44no—
267C23×C11—44no—
268C23×C11C22×Q814yes—
269C23×C11C22×Q812yes—
270C23×C11C2×#4112yes—
271C23×C11C2×#4112yes—
272C23×C11C2511yescharacteristic
273C2×C4×C11—22no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—28no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—44no—
295C2×C4×C11—48no—
296C2×C4×C11—44no—
297C2×C4×C11—44no—
298C2×C4×C11—48no—
299C2×C4×C11C22×Q814yes—
300C2×C4×C11C22×Q812yes—
301C2×C4×C11C22×Q812yes—
302C2×C4×C11C2×#4112yes—
303C2×C4×C11C2×#4112yes—
304C2×C4×C11C2×#4112yes—
305C2×C4×C11C2×#4112yes—
306C2×C4×C11H(5,𝔽2)12yes—
307C2×C4×C11H(5,𝔽2)12yes—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—24no—
318C2×Dic11—24no—
319C2×Dic11—24no—
320Dic22—48no—
321Dic22—84no—
322C24×C4C2×D1111yescharacteristic
323C2×C4⋊Q8—111no—
324C2×C4⋊Q8—111no—
325C2×C22⋊Q8—112no—
326C2×C22⋊Q8—112no—
327C2×C22⋊Q8—112no—
328C2×C22⋊Q8—112no—
329C2×C4×Q8—112no—
330C22×C22⋊C4C2×D1111yescharacteristic
331C22×C22⋊C4C2×D1111yescharacteristic
332C22×C42C2×D1111yescharacteristic
333C22×C42C2×D1111yescharacteristic
334#400—114no—
335#400—114no—
336#399—114no—
337#398—114no—
338#398—114no—
339#396—114no—
340#396—114no—
341#393—114no—
342#391—112no—
343#391—112no—
344#391—112no—
345#391—114no—
346#389—112no—
347#389—112no—
348#389—112no—
349#389—112no—
350#389—112no—
351#389—114no—
352#388—114no—
353#388—114no—
354#388—114no—
355#388—114no—
356#387—114no—
357#387—114no—
358#387—114no—
359#385—114no—
360#385—114no—
361#385—114no—
362#385—114no—
363#384—111no—
364#384—111no—
365#380—112no—
366#380—112no—
367#380—112no—
368#380—112no—
369#380—112no—
370#380—112no—
371#379—114no—
372C4×C4⋊C4—114no—
373C4×C4⋊C4—112no—
374C4×C22⋊C4—114no—
375C4×C22⋊C4C2×D1112yes—
376C4×C22⋊C4C2×D1112yes—
377C4×C22⋊C4C2×D1112yes—
378C4×C22⋊C4C2×D1112yes—
379C2×#95C2×D1111yescharacteristic
380C2×#95C2×D1111yescharacteristic
381C22×C11—22no—
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—24no—
388C22×C11—24no—
389C22×C11—24no—
390C22×C11—416no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—42no—
395C22×C11#53314yes—
396C22×C11C23×Q811yescharacteristic
397C22×C11C22×#4111yescharacteristic
398C22×C11C22×#4111yescharacteristic
399C22×C11C2×H(5,𝔽2)11yescharacteristic
400C22×C11C2×H(5,𝔽2)11yescharacteristic
401C22×C11#58511yescharacteristic
402C22×C11#58511yescharacteristic
403C4×C11—22no—
404C4×C11—24no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11#53814yes—
412Dic11—44no—
413Dic11—44no—
414Dic11—44no—
415Dic11—44no—
416C25C22×D1111yescharacteristic
417C22×Q8—112no—
418C22×Q8—112no—
419C23×C4—24no—
420C23×C4—42no—
421C23×C4—42no—
422C23×C4C22×D1112yes—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1112yes—
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429C23×C4C22×D1111yescharacteristic
430C4⋊Q8—442no—
431C4⋊Q8—442no—
432C22⋊Q8—228no—
433C22⋊Q8—228no—
434C22⋊Q8—444no—
435C22⋊Q8—444no—
436C4×Q8—444no—
437C2×C4⋊C4—112no—
438C2×C4⋊C4—112no—
439C2×C4⋊C4—112no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—112no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—112no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—114no—
456C2×C22⋊C4—114no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4Dic2218yescomplemented
461C2×C22⋊C4C22×D1112yes—
462C2×C22⋊C4C22×D1112yes—
463C2×C22⋊C4C22×D1112yes—
464C2×C22⋊C4C22×D1112yes—
465C2×C42—42no—
466C2×C42—42no—
467C2×C42—114no—
468C2×C42—114no—
469C2×C42C22×D1112yes—
470C2×C42C22×D1111yescharacteristic
471C2×C42C22×D1111yescharacteristic
472C2×C42C22×D1112yes—
473C2×C42C22×D1111yescharacteristic
474C2×C42C22×D1111yescharacteristic
475#95—114no—
476#95—114no—
477#95—114no—
478#95—114no—
479#95—114no—
480#95—114no—
481#95—114no—
482#95—114no—
483#95—114no—
484#95—114no—
485#95C22×D1112yes—
486#95C22×D1112yes—
487#95C22×D1112yes—
488#95C22×D1112yes—
489C2×C11—24no—
490C2×C11—44no—
491C2×C11C2×#53311yescharacteristic
492C2×C11C2×#53811yescharacteristic
493C2×C11#345511yescharacteristic
494C2×C11#350111yescharacteristic
495C2×C11#350111yescharacteristic
496C2×C11#350511yescharacteristic
497C2×C11#350611yescharacteristic
498C24—22no—
499C24—22no—
500C24—41no—
501C24—41no—
502C24—41no—
503C24—41no—
504C24C2×Dic2214yes—
505C24C23×D1112yes—
506C24C23×D1111yescharacteristic
507C2×Q8—224no—
508C2×Q8—224no—
509C2×Q8—224no—
510C2×Q8—224no—
511C2×Q8—442no—
512C2×Q8—442no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—416no—
534C22×C4—114no—
535C22×C4—114no—
536C22×C4—114no—
537C22×C4—114no—
538C22×C4C2×Dic2214yes—
539C22×C4C2×Dic2214yes—
540C22×C4#433914yes—
541C22×C4#433914yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1112yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549C22×C4C23×D1111yescharacteristic
550C22×C4C23×D1111yescharacteristic
551C4⋊C4—228no—
552C4⋊C4—228no—
553C4⋊C4—224no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4—224no—
557C4⋊C4—444no—
558C4⋊C4—444no—
559C4⋊C4—444no—
560C4⋊C4—442no—
561C4⋊C4—442no—
562C4⋊C4—442no—
563C4⋊C4—444no—
564C4⋊C4—442no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—228no—
570C22⋊C4—228no—
571C22⋊C4—444no—
572C22⋊C4—444no—
573C22⋊C4—444no—
574C22⋊C4—444no—
575C22⋊C4C2×Dic2218yes—
576C22⋊C4C2×Dic2218yes—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—42no—
581C42—41no—
582C42—41no—
583C42—444no—
584C42—444no—
585C11#3501411yescharacteristic, complemented, Sylow
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—28no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23C22×Dic2214yes—
604C23C22×Dic2212yes—
605C23C2×#433912yes—
606C23C2×#433912yes—
607C23C24×D1111yescharacteristic
608Q8—448no—
609Q8—884no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—28no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—48no—
636C2×C4—224no—
637C2×C4—224no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—224no—
648C2×C4C22×Dic2214yes—
649C2×C4C22×Dic2212yes—
650C2×C4C22×Dic2212yes—
651C2×C4C2×#433912yes—
652C2×C4C2×#433912yes—
653C2×C4C2×#433912yes—
654C2×C4C2×#433912yes—
655C2×C4#6703712yes—
656C2×C4#6703712yes—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—416no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22#1062300114yes—
672C22C23×Dic2211yescharacteristic
673C22C22×#433911yescharacteristic
674C22C22×#433911yescharacteristic
675C22C2×#6703711yescharacteristic
676C22C2×#6703711yescharacteristic
677C22#1062345311yescharacteristic
678C22#1062345311yescharacteristic
679C4—24no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—444no—
688C4—444no—
689C4—444no—
690C4—444no—
691C4#1062302514yes—
692C2—24no—
693C2—44no—
694C2C2×#1062300111yescharacteristic
695C2C2×#1062302511yescharacteristic
696C2#1308200611yescharacteristic
697C2#1308241911yescharacteristic
698C2#1308241911yescharacteristic
699C2#1308245511yescharacteristic
700C2#1308246811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C4×C11×C22⋊C4C2
prime radicalC25×C11C23
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#35014
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #13076968C2semidirect
2. #13076968C2semidirect
4. #13074586C2semidirect
6. #13074061C2semidirect
7. #13074031C2semidirect
8. #13073049C2semidirect
9. #13072990C2semidirect
10. #13072215C2semidirect
11. #13072141C2semidirect
12. #13071349C2semidirect
14. C4×#66977C2semidirect
25. C2×#66922C22semidirect
26. C2×#66922C22semidirect
27. C2×C4×Dic22C22semidirect
54. #10622548C22semidirect
55. #10622548C22semidirect
56. C4×C4⋊Dic11C22semidirect
57. #10622546C22semidirect
58. C4×Dic11⋊C4C22semidirect
59. #10622542C22semidirect
60. #10622542C22semidirect
61. #10622542C22semidirect
62. #10622541C22semidirect
63. #10622541C22semidirect
64. #10622541C22semidirect
65. #10622541C22semidirect
66. #10622541C22semidirect
67. #10622273C22semidirect
68. #10622273C22semidirect
69. #10622270C22semidirect
70. #10622270C22semidirect
71. #10622268C22semidirect
72. #10622267C22semidirect
73. #10622260C22semidirect
74. #10622259C22semidirect
90. C2×C11×C22⋊C4Q8semidirect
460. C2×C22⋊C4Dic22semidirect
585. C11#35014semidirect

Maximal subgroups

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

subgroupindex
#130769682
#130769032
#130745862
#130744212
#130740612
#130740312
#130730492
#130729902
#130722152
#130721412
#130713492
#130712142
C4×#669772
C2×C4×C11×C22⋊C42
#3501411