Finite Group Databasebeta

← #14926667

Subgroups — #14926667

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C212yesmaximal, complemented
2#13076915C212yesmaximal, complemented
3#13076895C212yesmaximal, complemented
4#13074730C211yesmaximal, characteristic, complemented
5#13074352C212yesmaximal, complemented
6#13073686C214yesmaximal, complemented
7#13073662C214yesmaximal, complemented
8#13073314C214yesmaximal, complemented
9#13072617C214yesmaximal, complemented
10#13071321C212yesmaximal, complemented
11#121×Dic11C212yesmaximal, complemented
12C2×#10622279C211yesmaximal, characteristic, complemented
13C11×#2656C211yesmaximal, characteristic, complemented
14C23×C4×D11C2211yescharacteristic
15C2×C11×#121C2212yes—
16C2×C11×#121C2212yes—
17C2×C11×#121C2212yes—
18C2×#66992C2214yes—
19C2×#66991C2212yes—
20C2×#66991C2212yes—
21C2×#66990C2214yes—
22C2×#66989C2212yescomplemented
23C2×D4×Dic11C2214yes—
24C2×D4×Dic11C2212yescomplemented
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C2×#66977C2212yes—
28C22×C4×Dic11C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30#10623148—216no—
31C2×#66951C2214yes—
32C2×#66939C2214yes—
33C2×#66938C2214yes—
34C11×#399C2214yescomplemented
35C11×#392C2214yescomplemented
36C2×C11×#95C2211yescharacteristic
37#10622836C2214yes—
38#10622834C2212yescomplemented
39#10622834C2212yescomplemented
40#10622833C2214yes—
41#10622833C2214yes—
42#10622833C2214yescomplemented
43#10622825C2212yes—
44#10622825C2212yes—
45C2×C11⋊#95C2211yescharacteristic
46#10622606C2214yes—
47#10622600C2212yes—
48#10622600C2212yes—
49#10622598C2212yescomplemented
50#10622594C2214yescomplemented
51#10622590C2212yescomplemented
52C4⋊C4×Dic11C2212yescomplemented
53#10622587C2212yescomplemented
54#10622574C2214yes—
55#10622574C2214yes—
56#10622569C2214yes—
57#10622569C2214yes—
58#10622564C2214yescomplemented
59#10622564C2214yescomplemented
60#10622563C2214yescomplemented
61#10622558C2214yescomplemented
62#10622558C2214yescomplemented
63C22⋊C4×Dic11C2214yescomplemented
64#10622279C2214yes—
65#10622279C2214yes—
66#10622274C2214yescomplemented
67#10622269C2214yescomplemented
68C24×D11C2311yescharacteristic
69C22×D4×C11C2314yes—
70C22×D4×C11C2312yes—
71C22×D4×C11C2312yes—
72C22×D4×C11C2312yes—
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C22×C22⋊D11C2314yes—
77C22×C22⋊D11C2314yes—
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2314yes—
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C22×C4×D11—24no—
83C22×C4×D11—42no—
84C22×C4×D11—42no—
85C22×C4×D11C2312yes—
86C22×C4×D11C2312yes—
87C22×Dic22C2312yes—
88C11×#121—28no—
89C11×#121—28no—
90C11×#121—28no—
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C4⋊C4C2312yes—
93C2×C11×C4⋊C4C2312yes—
94C2×C11×C22⋊C4C2314yes—
95C2×C11×C22⋊C4C2314yes—
96C2×C11×C22⋊C4C2314yes—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2314yes—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2314yes—
102C2×C22⋊Dic11C2314yes—
103#66992—216no—
104#66991—44no—
105#66991—44no—
106#66990—216no—
107#66989—44no—
108D4×Dic11—216no—
109D4×Dic11—44no—
110C2×(C2×D11)⋊C4—24no—
111C2×(C2×D11)⋊C4D418yescomplemented
112C2×(C2×D11)⋊C4C2314yes—
113C2×(C2×D11)⋊C4C2314yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2314yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2314yes—
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2312yes—
122#66977—28no—
123C2×Dic11⋊C4C2314yes—
124C2×C4×Dic11—42no—
125C2×C4×Dic11—42no—
126C2×C4×Dic11C2314yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2312yes—
131#66951—216no—
132#66939—216no—
133#66938—216no—
134C11×#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142#35003—111nomaximal, Sylow
143C24×C11C2414yes—
144C24×C11C2411yescharacteristic
145C23×D11—22no—
146C23×D11—22no—
147C23×D11—41no—
148C23×D11—41no—
149C23×D11—41no—
150C23×D11—41no—
151C23×D11C2×D414yes—
152C23×D11C2412yes—
153C2×D4×C11—28no—
154C2×D4×C11—28no—
155C2×D4×C11—28no—
156C2×D4×C11—24no—
157C2×D4×C11—24no—
158C2×D4×C11—24no—
159C2×D4×C11—42no—
160C2×D4×C11—42no—
161C2×D4×C11—42no—
162C2×D4×C11—42no—
163C2×D4×C11—42no—
164C2×D4×C11—42no—
165C22×C4×C11—41no—
166C22×C4×C11—41no—
167C22×C4×C11—41no—
168C22×C4×C11—41no—
169C22×C4×C11—41no—
170C22×C4×C11—41no—
171C22×C4×C11C2×D414yes—
172C22×C4×C11#4114yes—
173C22×C4×C11#4114yes—
174C22×C4×C11C2414yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2412yes—
178C2×C22⋊D11—28no—
179C2×C22⋊D11—28no—
180C2×C22⋊D11—44no—
181C2×C22⋊D11—44no—
182C2×C22⋊D11—44no—
183C2×C22⋊D11—44no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—28no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11—41no—
190C22×Dic11—41no—
191C22×Dic11—41no—
192C22×Dic11—41no—
193C22×Dic11—44no—
194C22×Dic11—44no—
195C22×Dic11C2×D414yes—
196C22×Dic11C2412yes—
197C22×Dic11C2414yes—
198C22×Dic11C2414yes—
199C22×Dic11C2412yes—
200C22×Dic11C2411yescharacteristic
201C22×Dic11C2411yescharacteristic
202C2×C4×D11—24no—
203C2×C4×D11—24no—
204C2×C4×D11—24no—
205C2×C4×D11—24no—
206C2×C4×D11—42no—
207C2×C4×D11—42no—
208C2×C4×D11—416no—
209C2×Dic22—24no—
210C2×Dic22—42no—
211C2×Dic22—42no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—24no—
214C11×C4⋊C4—24no—
215C11×C22⋊C4—28no—
216C11×C22⋊C4—28no—
217C11×C22⋊C4—28no—
218C22⋊Dic11—28no—
219C22⋊Dic11—28no—
220C22⋊Dic11—28no—
221C22⋊Dic11—28no—
222C22⋊Dic11—44no—
223C22⋊Dic11—44no—
224(C2×D11)⋊C4—28no—
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—28no—
227(C2×D11)⋊C4C2×D4116yes—
228C4⋊Dic11—28no—
229C4⋊Dic11—24no—
230C4⋊Dic11—42no—
231C4⋊Dic11—42no—
232C4⋊Dic11—42no—
233C4⋊Dic11—42no—
234Dic11⋊C4—28no—
235C4×Dic11—28no—
236C4×Dic11—24no—
237C4×Dic11—24no—
238C4×Dic11—42no—
239C4×Dic11—42no—
240C2×#538—112no—
241#2850—112no—
242#2847—112no—
243#2659—111no—
244#2656D1111yescharacteristic, complemented
245#2617—112no—
246#2555—114no—
247#2553—114no—
248#2521—114no—
249#2464—114no—
250#2325—112no—
251C4×#121—112no—
252C2×C4×C22⋊C4—111no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—24no—
258C23×C11—24no—
259C23×C11—24no—
260C23×C11—24no—
261C23×C11—24no—
262C23×C11—24no—
263C23×C11—24no—
264C23×C11C22×D412yes—
265C23×C11C2×#4112yes—
266C23×C11C2×#4112yes—
267C23×C11C2511yescharacteristic
268C22×D11—28no—
269C22×D11—22no—
270C22×D11—22no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—44no—
276C22×D11—44no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—44no—
280C22×D11—44no—
281C22×D11C22×D414yes—
282D4×C11—48no—
283D4×C11—416no—
284D4×C11—84no—
285D4×C11—84no—
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—24no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—44no—
296C2×C4×C11—44no—
297C2×C4×C11—44no—
298C2×C4×C11C22×D414yes—
299C2×C4×C11C2×#4114yes—
300C2×C4×C11C2×#4114yes—
301C22⋊D11—88no—
302C22⋊D11—88no—
303C2×Dic11—28no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—22no—
318C2×Dic11—24no—
319C2×Dic11—44no—
320C2×Dic11—44no—
321C2×Dic11—88no—
322C2×Dic11C22×D414yes—
323C2×Dic11H(5,𝔽2)12yes—
324C2×Dic11H(5,𝔽2)12yes—
325C4×D11—48no—
326C4×D11—48no—
327Dic22—84no—
328C24×C4—111no—
329#538—2216no—
330C2×#126—114no—
331C2×#124—112no—
332C2×#124—114no—
333C2×#123—114no—
334C2×C22⋊Q8—112no—
335C2×#121—114no—
336C2×#121—112no—
337C2×#121—112no—
338C2×#121C2×D1112yes—
339C2×#121C2×D1112yes—
340C2×#121C2×D1112yes—
341C2×#120—114no—
342C2×C4×D4—114no—
343C2×C4×D4—112no—
344C22×C22⋊C4—111no—
345C22×C22⋊C4—111no—
346C22×C42—111no—
347C22×C42—111no—
348#399C2×D1114yescomplemented
349#398—114no—
350#397—114no—
351#395—114no—
352#394—114no—
353#394—114no—
354#392—114no—
355#392C2×D1114yescomplemented
356#391—112no—
357#390—112no—
358#390—112no—
359#389—112no—
360#388—114no—
361#388—114no—
362#388—114no—
363#388—114no—
364#387—114no—
365#386—114no—
366#386—114no—
367#386—114no—
368#386—114no—
369#386—114no—
370#385—114no—
371#382—112no—
372#380—112no—
373#380—112no—
374#380—112no—
375#380—112no—
376C4×C4⋊C4—112no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4—114no—
379C4×C22⋊C4—114no—
380C2×#95—111no—
381C2×#95C2×D1111yescharacteristic
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—44no—
389C22×C11—44no—
390C22×C11—44no—
391C22×C11—44no—
392C22×C11—44no—
393C22×C11—44no—
394C22×C11—44no—
395C22×C11#53214yes—
396C22×C11C23×D411yescharacteristic
397C22×C11C22×#4111yescharacteristic
398C22×C11C22×#4111yescharacteristic
399C22×C11C2×H(5,𝔽2)11yescharacteristic
400C22×C11C2×H(5,𝔽2)11yescharacteristic
401C22×C11#58511yescharacteristic
402C22×C11#58511yescharacteristic
403C2×D11—24no—
404C2×D11—24no—
405C2×D11—24no—
406C2×D11—416no—
407C2×D11—42no—
408C2×D11—42no—
409C2×D11—42no—
410C2×D11—42no—
411C4×C11—24no—
412C4×C11—24no—
413C4×C11—24no—
414C4×C11—44no—
415Dic11—22no—
416Dic11—22no—
417Dic11—24no—
418Dic11—42no—
419Dic11—44no—
420Dic11—44no—
421C25—111no—
422C22×Q8—112no—
423C22×D4—114no—
424C22×D4—114no—
425C22×D4C22×D1114yes—
426C22×D4C22×D1112yes—
427C22×D4C22×D1112yes—
428C22×D4C22×D1112yes—
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—111no—
432C23×C4—114no—
433C23×C4—112no—
434C23×C4—112no—
435C23×C4—224no—
436C23×C4—442no—
437C23×C4—442no—
438C23×C4C22×D1111yescharacteristic
439C23×C4C22×D1111yescharacteristic
440C23×C4C22×D1111yescharacteristic
441#126—2216no—
442#124—2216no—
443#124—444no—
444#123—2216no—
445C22⋊Q8—228no—
446#121—28no—
447#121—28no—
448#121—28no—
449#121—2216no—
450#121—444no—
451#121—444no—
452#120—2216no—
453C4×D4—2216no—
454C4×D4—444no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—112no—
459C2×C4⋊C4—112no—
460C2×C4⋊C4—112no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1112yes—
464C2×C4⋊C4C22×D1112yes—
465C2×C22⋊C4—118no—
466C2×C22⋊C4—114no—
467C2×C22⋊C4—114no—
468C2×C22⋊C4—114no—
469C2×C22⋊C4—114no—
470C2×C22⋊C4—114no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—114no—
473C2×C22⋊C4—114no—
474C2×C22⋊C4—114no—
475C2×C22⋊C4—114no—
476C2×C22⋊C4—224no—
477C2×C22⋊C4C22×D1114yes—
478C2×C22⋊C4C22×D1114yes—
479C2×C22⋊C4C22×D1114yes—
480C2×C42—114no—
481C2×C42—112no—
482C2×C42—112no—
483C2×C42—112no—
484C2×C42—112no—
485C2×C42—442no—
486C2×C42—442no—
487#95—114no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95—114no—
494#95C22×D1114yes—
495C2×C11—24no—
496C2×C11—84no—
497C2×C11C2×#53211yescharacteristic
498C2×C11#345911yescharacteristic
499C2×C11#346011yescharacteristic
500C2×C11#349011yescharacteristic
501C2×C11#349311yescharacteristic
502C2×C11#349611yescharacteristic
503C2×C11#349611yescharacteristic
504D11—44no—
505C24—112no—
506C24—114no—
507C24—222no—
508C24—222no—
509C24—441no—
510C24—441no—
511C24—441no—
512C24—441no—
513C24C23×D1114yes—
514C24C23×D1111yescharacteristic
515C2×Q8—224no—
516C2×Q8—442no—
517C2×Q8—442no—
518C2×D4—28no—
519C2×D4—28no—
520C2×D4—28no—
521C2×D4—24no—
522C2×D4—24no—
523C2×D4—24no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—42no—
530C2×D4—228no—
531C2×D4—228no—
532C2×D4—444no—
533C2×D4—444no—
534C2×D4—444no—
535C2×D4—444no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—112no—
545C22×C4—114no—
546C22×C4—112no—
547C22×C4—114no—
548C22×C4—114no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—228no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—224no—
557C22×C4—224no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4—4416no—
561C22×C4—441no—
562C22×C4—441no—
563C22×C4—441no—
564C22×C4—441no—
565C22×C4—444no—
566C22×C4—444no—
567C22×C4D4×D1114yes—
568C22×C4#434114yes—
569C22×C4#434114yes—
570C22×C4C23×D1114yes—
571C22×C4C23×D1112yes—
572C22×C4C23×D1112yes—
573C22×C4C23×D1112yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—228no—
578C4⋊C4—228no—
579C4⋊C4—224no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C4⋊C4—442no—
584C22⋊C4—28no—
585C22⋊C4—28no—
586C22⋊C4—28no—
587C22⋊C4—1116no—
588C22⋊C4—228no—
589C22⋊C4—228no—
590C22⋊C4—228no—
591C22⋊C4—228no—
592C22⋊C4—228no—
593C22⋊C4—228no—
594C22⋊C4—228no—
595C22⋊C4—444no—
596C22⋊C4—444no—
597C42—224no—
598C42—224no—
599C42—228no—
600C42—442no—
601C42—442no—
602C11#3500311yescharacteristic, complemented, Sylow
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—114no—
615C23—228no—
616C23—222no—
617C23—222no—
618C23—222no—
619C23—222no—
620C23—222no—
621C23—222no—
622C23—444no—
623C23—444no—
624C23—444no—
625C23—444no—
626C23—444no—
627C23—444no—
628C23C2×D4×D1112yes—
629C23C2×#434112yes—
630C23C2×#434112yes—
631C23C24×D1111yescharacteristic
632Q8—884no—
633D4—48no—
634D4—416no—
635D4—84no—
636D4—84no—
637D4—888no—
638D4—888no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—114no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—228no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—222no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—222no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—448no—
671C2×C4—448no—
672C2×C4—444no—
673C2×C4—444no—
674C2×C4—888no—
675C2×C4C2×D4×D1114yes—
676C2×C4C2×#434114yes—
677C2×C4C2×#434114yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—224no—
692C22—224no—
693C22—224no—
694C22—4416no—
695C22—442no—
696C22—442no—
697C22—442no—
698C22—442no—
699C22#1062324714yes—
700C22C22×D4×D1111yescharacteristic
701C22C22×#434111yescharacteristic
702C22C22×#434111yescharacteristic
703C22D11×H(5,𝔽2)11yescharacteristic
704C22D11×H(5,𝔽2)11yescharacteristic
705C22#1062345511yescharacteristic
706C22#1062345711yescharacteristic
707C4—24no—
708C4—24no—
709C4—24no—
710C4—44no—
711C4—224no—
712C4—222no—
713C4—222no—
714C4—444no—
715C4—444no—
716C4—442no—
717C2—24no—
718C2—84no—
719C2—444no—
720C2C2×#1062324711yescharacteristic
721C2#1308202211yescharacteristic
722C2#1308203311yescharacteristic
723C2#1308230411yescharacteristic
724C2#1308233511yescharacteristic
725C2#1308237711yescharacteristic
726C2#1308237911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2656C2
hypercenter#2656D11
hypocenterC11#35003
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2656

Complements

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

NH ≅ G/Ntype
1. C2×#10623148C2semidirect
2. #13076915C2semidirect
3. #13076895C2semidirect
4. #13074730C2semidirect
5. #13074352C2semidirect
6. #13073686C2semidirect
7. #13073662C2semidirect
8. #13073314C2semidirect
9. #13072617C2semidirect
10. #13071321C2semidirect
11. #121×Dic11C2semidirect
12. C2×#10622279C2semidirect
13. C11×#2656C2semidirect
22. C2×#66989C22semidirect
24. C2×D4×Dic11C22semidirect
34. C11×#399C22semidirect
35. C11×#392C22semidirect
38. #10622834C22semidirect
39. #10622834C22semidirect
42. #10622833C22semidirect
49. #10622598C22semidirect
50. #10622594C22semidirect
51. #10622590C22semidirect
52. C4⋊C4×Dic11C22semidirect
53. #10622587C22semidirect
58. #10622564C22semidirect
59. #10622564C22semidirect
60. #10622563C22semidirect
61. #10622558C22semidirect
62. #10622558C22semidirect
63. C22⋊C4×Dic11C22semidirect
66. #10622274C22semidirect
67. #10622269C22semidirect
111. C2×(C2×D11)⋊C4D4semidirect
244. #2656D11semidirect
348. #399C2×D11semidirect
355. #392C2×D11semidirect
602. C11#35003semidirect

Maximal subgroups

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

subgroupindex
C2×#106231482
#130769152
#130768952
#130747302
#130743522
#130736862
#130736622
#130733142
#130726172
#130713212
#121×Dic112
C2×#106222792
C11×#26562
#3500311