Finite Group Databasebeta

← #14960773

Subgroups — #14960773

Order 2816.

2450 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623014C211yesmaximal, characteristic, complemented
2C22×#66988C211yesmaximal, characteristic
3#13076901C212yesmaximal, complemented
4#13075043C214yesmaximal, complemented
5#13075041C214yesmaximal, complemented
6#13074959C214yesmaximal, complemented
7#13074953C214yesmaximal, complemented
8#13074435C212yesmaximal, complemented
9#13073771C212yesmaximal, complemented
10#13073092C212yesmaximal, complemented
11#13072897C211yesmaximal, characteristic, complemented
12#13072894C211yesmaximal, characteristic, complemented
13#13071939C211yesmaximal, characteristic
14#13071212C211yesmaximal, characteristic, complemented
15C11×#2405C211yesmaximal, characteristic
16C23×D4×C11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C2×C11×#123C2212yes—
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C22⋊Dic11C2211yescharacteristic
24C2×#66988—28no—
25C2×#66988C2214yes—
26C2×#66988C2214yes—
27C2×#66988C2212yes—
28C2×#66977C2212yescomplemented
29C2×#66977C2212yescomplemented
30C22×Dic11⋊C4C2211yescharacteristic
31C22×Dic11⋊C4C2211yescharacteristic
32#10623014—28no—
33C2×#66931C2212yes—
34C2×#66931C2212yes—
35C2×#66931C2212yescomplemented
36C2×#66931C2212yescomplemented
37C2×#66931C2214yescomplemented
38C11×#394C2214yes—
39C11×#386C2212yes—
40C11×#385C2212yes—
41C11×#379C2211yescharacteristic
42C11×#379C2212yes—
43#10622860C2212yes—
44#10622860C2211yescharacteristic
45#10622835C2214yes—
46#10622833C2212yes—
47#10622824C2212yescomplemented
48#10622823C2212yes—
49#10622823C2212yescomplemented
50#10622597C2214yescomplemented
51#10622593C2214yescomplemented
52#10622592C2214yescomplemented
53#10622589C2214yescomplemented
54#10622566C2214yescomplemented
55#10622565C2214yescomplemented
56#10622565C2214yescomplemented
57#10622564C2214yescomplemented
58#10622563C2212yes—
59#10622563C2212yescomplemented
60#10622563C2214yescomplemented
61#10622560C2214yescomplemented
62#10622559C2212yes—
63#10622559C2214yescomplemented
64#10622558C2214yescomplemented
65#10622557C2214yescomplemented
66#10622557C2214yescomplemented
67#10622556C2212yes—
68#10622556C2212yes—
69#10622556C2212yescomplemented
70#10622555C2212yes—
71#10622555C2214yescomplemented
72C22⋊C4×Dic11C2212yes—
73#10622271C2214yescomplemented
74#10622270C2214yescomplemented
75#10622270C2214yescomplemented
76#10622259C2214yescomplemented
77C25×C11C2311yescharacteristic
78C25×C11C2311yescharacteristic
79C22×D4×C11—24no—
80C22×D4×C11—44no—
81C22×D4×C11C2312yes—
82C22×D4×C11C2312yes—
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C23×Dic11—24no—
87C23×Dic11—44no—
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2314yes—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2311yescharacteristic
93C23×Dic11C2311yescharacteristic
94C23×Dic11C2311yescharacteristic
95C22×Dic22C2312yes—
96C22×Dic22C2312yes—
97C11×#123—44no—
98C2×C11×C4⋊C4C2314yes—
99C2×C11×C22⋊C4—24no—
100C2×C11×C22⋊C4C2312yes—
101C2×C11×C22⋊C4C2312yes—
102C2×C11×C22⋊C4C2314yes—
103C2×C11×C22⋊C4C2312yes—
104C2×C11×C22⋊C4C2314yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C22⋊Dic11—24no—
108C2×C22⋊Dic11—24no—
109C2×C22⋊Dic11—24no—
110C2×C22⋊Dic11D418yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2312yes—
115C2×C22⋊Dic11C2312yes—
116C2×C22⋊Dic11C2314yes—
117C2×C22⋊Dic11C2312yes—
118C2×C22⋊Dic11C2314yes—
119C2×C22⋊Dic11C2312yes—
120C2×C22⋊Dic11C2312yes—
121C2×C22⋊Dic11C2312yes—
122C2×C22⋊Dic11C2312yes—
123#66988—216no—
124#66988—216no—
125#66988—44no—
126C2×C4⋊Dic11C2312yes—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2314yes—
129#66977—28no—
130#66977—28no—
131C2×Dic11⋊C4—24no—
132C2×Dic11⋊C4—24no—
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2312yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2312yes—
137C2×Dic11⋊C4C2314yes—
138C2×Dic11⋊C4C2314yes—
139C2×Dic11⋊C4C2314yes—
140C2×Dic11⋊C4C2314yes—
141C2×Dic11⋊C4C2314yes—
142C2×C4×Dic11C2314yes—
143#66931—28no—
144#66931—28no—
145#66931—28no—
146#66931—28no—
147#66931—48no—
148C11×#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158#36720—111nomaximal, Sylow
159C24×C11—22no—
160C24×C11—24no—
161C24×C11—24no—
162C24×C11—24no—
163C24×C11—42no—
164C24×C11—42no—
165C24×C11—42no—
166C24×C11C2×D414yes—
167C24×C11C2411yescharacteristic
168C24×C11C2411yescharacteristic
169C24×C11C2412yes—
170C24×C11C2411yescharacteristic
171C2×D4×C11—24no—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—24no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11—416no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—42no—
182C22×C4×C11—42no—
183C22×C4×C11—42no—
184C22×C4×C11C2414yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×Dic11—28no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—28no—
194C22×Dic11—24no—
195C22×Dic11—42no—
196C22×Dic11—42no—
197C22×Dic11—44no—
198C22×Dic11—42no—
199C22×Dic11—42no—
200C22×Dic11—42no—
201C22×Dic11—416no—
202C22×Dic11C2×D414yes—
203C22×Dic11C2×D414yes—
204C22×Dic11C2412yes—
205C22×Dic11C2414yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C22×Dic11C2412yes—
209C22×Dic11C2412yes—
210C22×Dic11C2412yes—
211C2×Dic22—24no—
212C2×Dic22—24no—
213C2×Dic22—44no—
214C2×Dic22—44no—
215C11×C4⋊C4—44no—
216C11×C22⋊C4—24no—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—28no—
219C11×C22⋊C4—24no—
220C11×C22⋊C4—42no—
221C11×C22⋊C4—44no—
222C11×C22⋊C4—42no—
223C22⋊Dic11—28no—
224C22⋊Dic11—24no—
225C22⋊Dic11—24no—
226C22⋊Dic11—24no—
227C22⋊Dic11—24no—
228C22⋊Dic11—28no—
229C22⋊Dic11—24no—
230C22⋊Dic11—42no—
231C22⋊Dic11—44no—
232C22⋊Dic11—42no—
233C22⋊Dic11C2×D418yes—
234C22⋊Dic11C2×D418yes—
235C4⋊Dic11—24no—
236C4⋊Dic11—24no—
237C4⋊Dic11—44no—
238Dic11⋊C4—24no—
239Dic11⋊C4—24no—
240Dic11⋊C4—24no—
241Dic11⋊C4—24no—
242Dic11⋊C4—28no—
243Dic11⋊C4—28no—
244Dic11⋊C4—44no—
245Dic11⋊C4—44no—
246Dic11⋊C4—44no—
247C4×Dic11—44no—
248C2×#543—111no—
249C22×#123—111no—
250#2848—112no—
251#2687—114no—
252#2687—114no—
253#2680—114no—
254#2680—114no—
255#2627—112no—
256#2561—112no—
257#2502—112no—
258#2483—111no—
259#2483—111no—
260#2405—111no—
261#2405D1111yescharacteristic
262#2312—111no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—28no—
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—24no—
273C23×C11—24no—
274C23×C11—22no—
275C23×C11—22no—
276C23×C11—28no—
277C23×C11—44no—
278C23×C11—44no—
279C23×C11—416no—
280C23×C11—44no—
281C23×C11—44no—
282C23×C11—88no—
283C23×C11C22×D412yes—
284C23×C11C22×D412yes—
285C23×C11C22×D412yes—
286C23×C11H(5,𝔽2)14yes—
287C23×C112−1+414yes—
288C23×C11C2511yescharacteristic
289D4×C11—48no—
290D4×C11—48no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—24no—
297C2×C4×C11—22no—
298C2×C4×C11—24no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—44no—
302C2×C4×C11—82no—
303C2×C4×C11—82no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—44no—
318C2×Dic11—44no—
319C2×Dic11—416no—
320C2×Dic11—44no—
321C2×Dic11—44no—
322C2×Dic11—82no—
323C2×Dic11—82no—
324C2×Dic11C22×D414yes—
325C2×Dic11C22×D414yes—
326Dic22—84no—
327Dic22—84no—
328C23×D4C2×D1111yescharacteristic
329C24×C4—111no—
330#543—228no—
331C2×#123—114no—
332C2×#123—114no—
333C2×#123—112no—
334C2×#123—228no—
335C2×#123C2×D1112yes—
336C2×C22⋊Q8—112no—
337C2×C22⋊Q8—112no—
338C2×C22⋊Q8—112no—
339C2×C22⋊Q8—112no—
340C2×C22⋊Q8—112no—
341C2×C22⋊Q8—112no—
342C2×C22⋊Q8—114no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—111no—
345C22×C22⋊C4—111no—
346C22×C22⋊C4—111no—
347C22×C22⋊C4—111no—
348C22×C22⋊C4—111no—
349C22×C22⋊C4C2×D1111yescharacteristic
350#400—114no—
351#398—114no—
352#398—114no—
353#398—114no—
354#398—114no—
355#397—114no—
356#397—114no—
357#397—114no—
358#395—114no—
359#394—114no—
360#394C2×D1114yes—
361#393—114no—
362#391—114no—
363#388—114no—
364#388—114no—
365#388—114no—
366#388—114no—
367#386—112no—
368#386C2×D1112yes—
369#385—112no—
370#385—112no—
371#385—112no—
372#385—114no—
373#385—112no—
374#385—114no—
375#385—112no—
376#385C2×D1112yes—
377#384—114no—
378#381—112no—
379#381—112no—
380#381—112no—
381#381—112no—
382#380—112no—
383#380—114no—
384#379—112no—
385#379—111no—
386#379C2×D1112yes—
387#379C2×D1111yescharacteristic
388C4×C22⋊C4—112no—
389C22×C11—22no—
390C22×C11—22no—
391C22×C11—28no—
392C22×C11—22no—
393C22×C11—22no—
394C22×C11—22no—
395C22×C11—24no—
396C22×C11—22no—
397C22×C11—22no—
398C22×C11—22no—
399C22×C11—28no—
400C22×C11—416no—
401C22×C11—42no—
402C22×C11—42no—
403C22×C11—44no—
404C22×C11—44no—
405C22×C11—44no—
406C22×C11—88no—
407C22×C11#53614yes—
408C22×C11C23×D411yescharacteristic
409C22×C11C2×H(5,𝔽2)12yes—
410C22×C11C2×2−1+412yes—
411C22×C11#58512yes—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11—44no—
416Dic11—24no—
417Dic11—24no—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422Dic11—44no—
423C25C22×D1111yescharacteristic
424C25C22×D1111yescharacteristic
425C22×Q8—112no—
426C22×Q8—112no—
427C22×D4—24no—
428C22×D4—44no—
429C22×D4C22×D1112yes—
430C22×D4C22×D1112yes—
431C23×C4—111no—
432C23×C4—111no—
433C23×C4—111no—
434C23×C4—114no—
435C23×C4—111no—
436C23×C4—111no—
437C23×C4—111no—
438C23×C4—224no—
439C23×C4—444no—
440C23×C4C22×D1111yescharacteristic
441C23×C4C22×D1111yescharacteristic
442C23×C4C22×D1111yescharacteristic
443#123—44no—
444#123—2216no—
445#123—2216no—
446#123—444no—
447C22⋊Q8—228no—
448C22⋊Q8—228no—
449C22⋊Q8—228no—
450C22⋊Q8—228no—
451C22⋊Q8—228no—
452C22⋊Q8—228no—
453C22⋊Q8—448no—
454C2×C4⋊C4—114no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—112no—
459C2×C4⋊C4—112no—
460C2×C4⋊C4—112no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4—114no—
463C2×C4⋊C4—114no—
464C2×C4⋊C4—114no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—224no—
467C2×C4⋊C4—224no—
468C2×C4⋊C4C22×D1114yes—
469C2×C22⋊C4—24no—
470C2×C22⋊C4—118no—
471C2×C22⋊C4—112no—
472C2×C22⋊C4—112no—
473C2×C22⋊C4—112no—
474C2×C22⋊C4—112no—
475C2×C22⋊C4—112no—
476C2×C22⋊C4—112no—
477C2×C22⋊C4—114no—
478C2×C22⋊C4—114no—
479C2×C22⋊C4—112no—
480C2×C22⋊C4—112no—
481C2×C22⋊C4—114no—
482C2×C22⋊C4—112no—
483C2×C22⋊C4—224no—
484C2×C22⋊C4—224no—
485C2×C22⋊C4—224no—
486C2×C22⋊C4C22×D1112yes—
487C2×C22⋊C4C22×D1112yes—
488C2×C22⋊C4C22×D1114yes—
489C2×C22⋊C4C22×D1112yes—
490C2×C22⋊C4C22×D1112yes—
491C2×C22⋊C4C22×D1114yes—
492C2×C22⋊C4C22×D1112yes—
493C2×C42—114no—
494#95—114no—
495#95—114no—
496#95—114no—
497#95—114no—
498#95—114no—
499#95—114no—
500#95—114no—
501#95—114no—
502#95—114no—
503#95C22×D1114yes—
504C2×C11—24no—
505C2×C11—44no—
506C2×C11—42no—
507C2×C11—42no—
508C2×C11C2×#53611yescharacteristic
509C2×C11#348411yescharacteristic
510C2×C11#348511yescharacteristic
511C2×C11#353514yes—
512C24—22no—
513C24—24no—
514C24—24no—
515C24—24no—
516C24—42no—
517C24—42no—
518C24—42no—
519C24D4×D1114yes—
520C24C23×D1111yescharacteristic
521C24C23×D1111yescharacteristic
522C24C23×D1112yes—
523C24C23×D1111yescharacteristic
524C2×Q8—224no—
525C2×Q8—224no—
526C2×Q8—444no—
527C2×Q8—444no—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—24no—
531C2×D4—24no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—416no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—112no—
542C22×C4—112no—
543C22×C4—114no—
544C22×C4—114no—
545C22×C4—112no—
546C22×C4—114no—
547C22×C4—112no—
548C22×C4—112no—
549C22×C4—112no—
550C22×C4—228no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—228no—
554C22×C4—224no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—442no—
558C22×C4—444no—
559C22×C4—442no—
560C22×C4—442no—
561C22×C4—442no—
562C22×C4—442no—
563C22×C4—4416no—
564C22×C4C23×D1114yes—
565C22×C4C23×D1112yes—
566C22×C4C23×D1112yes—
567C22×C4C23×D1112yes—
568C4⋊C4—44no—
569C4⋊C4—228no—
570C4⋊C4—228no—
571C4⋊C4—224no—
572C4⋊C4—224no—
573C4⋊C4—224no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—444no—
578C4⋊C4—444no—
579C4⋊C4—444no—
580C4⋊C4—444no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—28no—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—44no—
588C22⋊C4—118no—
589C22⋊C4—118no—
590C22⋊C4—228no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C22⋊C4—224no—
594C22⋊C4—224no—
595C22⋊C4—228no—
596C22⋊C4—224no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—444no—
600C42—444no—
601C11#3672011yescharacteristic, complemented, Sylow
602C23—22no—
603C23—22no—
604C23—28no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—24no—
612C23—24no—
613C23—22no—
614C23—22no—
615C23—28no—
616C23—44no—
617C23—44no—
618C23—416no—
619C23—44no—
620C23—44no—
621C23—88no—
622C23C2×D4×D1112yes—
623C23C2×D4×D1112yes—
624C23C2×D4×D1112yes—
625C23#6703714yes—
626C23#6704314yes—
627C23C24×D1111yescharacteristic
628Q8—884no—
629Q8—884no—
630D4—48no—
631D4—48no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—44no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—114no—
646C2×C4—114no—
647C2×C4—224no—
648C2×C4—224no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—224no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—444no—
661C2×C4—444no—
662C2×C4—4416no—
663C2×C4—444no—
664C2×C4—444no—
665C2×C4—882no—
666C2×C4—882no—
667C22—22no—
668C22—22no—
669C22—28no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—24no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—28no—
678C22—416no—
679C22—42no—
680C22—42no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—88no—
685C22#1062317914yes—
686C22C22×D4×D1111yescharacteristic
687C22C2×#6703712yes—
688C22C2×#6704312yes—
689C22#1062345512yes—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—44no—
694C4—224no—
695C4—224no—
696C4—442no—
697C4—442no—
698C4—442no—
699C4—442no—
700C4—444no—
701C2—24no—
702C2—44no—
703C2—42no—
704C2—42no—
705C2C2×#1062317911yescharacteristic
706C2#1308224511yescharacteristic
707C2#1308225711yescharacteristic
708C2#1308281314yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2405C2
prime radicalC23×D4×C11C22
hypercenter#2405D11
hypocenterC11#36720
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#10623014C2semidirect
3. #13076901C2semidirect
4. #13075043C2semidirect
5. #13075041C2semidirect
6. #13074959C2semidirect
7. #13074953C2semidirect
8. #13074435C2semidirect
9. #13073771C2semidirect
10. #13073092C2semidirect
11. #13072897C2semidirect
12. #13072894C2semidirect
14. #13071212C2semidirect
28. C2×#66977C22semidirect
29. C2×#66977C22semidirect
35. C2×#66931C22semidirect
36. C2×#66931C22semidirect
37. C2×#66931C22semidirect
47. #10622824C22semidirect
49. #10622823C22semidirect
50. #10622597C22semidirect
51. #10622593C22semidirect
52. #10622592C22semidirect
53. #10622589C22semidirect
54. #10622566C22semidirect
55. #10622565C22semidirect
56. #10622565C22semidirect
57. #10622564C22semidirect
59. #10622563C22semidirect
60. #10622563C22semidirect
61. #10622560C22semidirect
63. #10622559C22semidirect
64. #10622558C22semidirect
65. #10622557C22semidirect
66. #10622557C22semidirect
69. #10622556C22semidirect
71. #10622555C22semidirect
73. #10622271C22semidirect
74. #10622270C22semidirect
75. #10622270C22semidirect
76. #10622259C22semidirect
601. C11#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#106230142
C22×#669882
#130769012
#130750432
#130750412
#130749592
#130749532
#130744352
#130737712
#130730922
#130728972
#130728942
#130719392
#130712122
C11×#24052
#3672011