Finite Group Databasebeta

← #14960763

Subgroups — #14960763

Order 2816.

2490 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×#10623176C211yesmaximal, characteristic, complemented
2C22×#66949C211yesmaximal, characteristic, complemented
3#13076900C211yesmaximal, characteristic, complemented
4#13076899C211yesmaximal, characteristic
5#13075280C214yesmaximal, complemented
6#13075246C214yesmaximal, complemented
7#13074990C214yesmaximal, complemented
8#13074961C214yesmaximal, complemented
9#13074358C211yesmaximal, characteristic, complemented
10#13073511C212yesmaximal, complemented
11#13072025C212yesmaximal, complemented
12#13071999C212yesmaximal, complemented
13#13071980C212yesmaximal, complemented
14#13071233C211yesmaximal, characteristic, complemented
15C11×#2627C211yesmaximal, characteristic, complemented
16C23×C4×D11C2211yescharacteristic
17C23×Dic22C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×#66999C2212yes—
21C2×#66999C2212yescomplemented
22C2×#66983C2211yescharacteristic
23C2×#66982C2212yes—
24C22×(C2×D11)⋊C4C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×Dic11⋊C4C2211yescharacteristic
27C22×Dic11⋊C4C2211yescharacteristic
28#10623176—28no—
29C2×#66951C2212yescomplemented
30C2×#66949—28no—
31C2×#66949C2214yes—
32C2×#66949C2214yes—
33C2×#66949C2214yescomplemented
34C2×#66948C2212yes—
35C2×#66947C2212yescomplemented
36C2×#66943C2212yescomplemented
37C2×#66939C2212yes—
38C2×#66935C2212yes—
39C2×(C22⋊D11)⋊C4C2212yes—
40C2×#66930C2212yes—
41C11×#400C2212yescomplemented
42C11×#398C2214yescomplemented
43C11×#395C2212yescomplemented
44C11×#385C2212yes—
45C11×#381C2212yes—
46C11×#380C2211yescharacteristic
47#10622826C2212yes—
48#10622825C2211yescharacteristic
49#10622607C2214yes—
50#10622607C2214yescomplemented
51#10622604C2212yescomplemented
52#10622602C2214yes—
53#10622601C2214yes—
54#10622600C2212yes—
55#10622600C2212yes—
56#10622596C2212yescomplemented
57#10622592C2214yescomplemented
58#10622585C2214yescomplemented
59#10622571C2212yes—
60#10622568C2212yes—
61#10622559C2212yes—
62#10622555C2212yes—
63#10622289C2214yes—
64#10622289C2214yescomplemented
65#10622286C2214yescomplemented
66#10622285C2214yes—
67#10622285C2214yes—
68#10622283C2214yes—
69#10622282C2214yes—
70#10622282C2214yescomplemented
71#10622278C2214yes—
72#10622278C2214yes—
73#10622270C2214yescomplemented
74#10622260C2214yescomplemented
75#10622260C2214yescomplemented
76#10622259C2214yescomplemented
77C24×D11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C22×C22⋊D11C2312yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C22×D44C2314yes—
87C22×D44C2311yescharacteristic
88C22×C4×D11—24no—
89C22×C4×D11—44no—
90C22×C4×D11C2312yes—
91C22×C4×D11C2312yes—
92C22×C4×D11C2312yes—
93C22×Dic22—24no—
94C22×Dic22—44no—
95C22×Dic22C2314yes—
96C11×C22⋊Q8—24no—
97C2×C11×C4⋊C4—24no—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C22⋊Dic11C2312yes—
107#66999—28no—
108#66999—44no—
109#66983—24no—
110#66982—44no—
111C2×(C2×D11)⋊C4—24no—
112C2×(C2×D11)⋊C4—24no—
113C2×(C2×D11)⋊C4C2312yes—
114C2×(C2×D11)⋊C4C2312yes—
115C2×(C2×D11)⋊C4C2312yes—
116C2×(C2×D11)⋊C4C2314yes—
117C2×(C2×D11)⋊C4C2314yes—
118C2×(C2×D11)⋊C4C2314yes—
119C2×(C2×D11)⋊C4C2312yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2314yes—
124C2×(C2×D11)⋊C4C2314yes—
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2312yes—
127C2×C4⋊Dic11C2311yescharacteristic
128C2×C4⋊Dic11C2312yes—
129C2×Dic11⋊C4—24no—
130C2×Dic11⋊C4D418yescomplemented
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2314yes—
133C2×Dic11⋊C4C2314yes—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2314yes—
136C2×Dic11⋊C4C2314yes—
137C2×Dic11⋊C4C2312yes—
138C2×Dic11⋊C4C2312yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2314yes—
141#66951—28no—
142#66949—216no—
143#66949—216no—
144#66949—48no—
145#66948—44no—
146#66947—28no—
147#66943—28no—
148#66939—28no—
149#66935—44no—
150(C22⋊D11)⋊C4—28no—
151#66930—44no—
152C11×#95C2314yes—
153C11×#95C2312yes—
154C11×#95C2314yes—
155C11×#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161#36719—111nomaximal, Sylow
162C24×C11C2411yescharacteristic
163C23×D11—22no—
164C23×D11—24no—
165C23×D11—22no—
166C23×D11—22no—
167C23×D11—42no—
168C23×D11C2412yes—
169C23×D11C2412yes—
170C2×Q8×C11—22no—
171C2×Q8×C11—42no—
172C22×C4×C11—22no—
173C22×C4×C11—22no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—42no—
177C22×C4×C11—42no—
178C22×C4×C11C2×D414yes—
179C22×C4×C11C2414yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2412yes—
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11—24no—
189C22×Dic11—24no—
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—42no—
194C22×Dic11C2×D414yes—
195C22×Dic11C2×D414yes—
196C22×Dic11C2414yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C2×D44—28no—
202C2×D44—22no—
203C2×D44—44no—
204C2×D44—42no—
205C2×D44—44no—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—24no—
211C2×C4×D11—42no—
212C2×C4×D11—42no—
213C2×C4×D11—44no—
214C2×C4×D11—416no—
215C2×Dic22—28no—
216C2×Dic22—28no—
217C2×Dic22—44no—
218C2×Dic22—416no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—24no—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—42no—
224C11×C4⋊C4—44no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—24no—
227C22⋊Dic11—24no—
228(C2×D11)⋊C4—24no—
229(C2×D11)⋊C4—24no—
230(C2×D11)⋊C4—24no—
231(C2×D11)⋊C4—28no—
232(C2×D11)⋊C4—28no—
233(C2×D11)⋊C4—28no—
234(C2×D11)⋊C4—28no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—44no—
237(C2×D11)⋊C4—44no—
238(C2×D11)⋊C4—44no—
239(C2×D11)⋊C4—44no—
240C4⋊Dic11—24no—
241C4⋊Dic11—24no—
242C4⋊Dic11—22no—
243C4⋊Dic11—42no—
244Dic11⋊C4—24no—
245Dic11⋊C4—28no—
246Dic11⋊C4—28no—
247Dic11⋊C4—44no—
248Dic11⋊C4—44no—
249Dic11⋊C4—44no—
250Dic11⋊C4C2×D418yes—
251Dic11⋊C4C2×D418yes—
252C4×Dic11—24no—
253C4×Dic11—44no—
254C2×#539—111no—
255C22×C22⋊Q8—111no—
256#2848—111no—
257#2847—111no—
258#2704—114no—
259#2702—114no—
260#2683—114no—
261#2681—114no—
262#2627D1111yescharacteristic, complemented
263#2618—111no—
264#2534—112no—
265#2413—112no—
266#2411—112no—
267#2409—112no—
268#2316—111no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11C22×D412yes—
272C23×C11H(5,𝔽2)12yes—
273C23×C112−1+412yes—
274C23×C11C2511yescharacteristic
275C22×D11—28no—
276C22×D11—22no—
277C22×D11—22no—
278C22×D11—22no—
279C22×D11—22no—
280C22×D11—22no—
281C22×D11—22no—
282C22×D11—22no—
283C22×D11—24no—
284C22×D11—22no—
285C22×D11—24no—
286C22×D11—22no—
287C22×D11—48no—
288C22×D11—48no—
289C22×D11—44no—
290C22×D11—44no—
291C22×D112−1+414yes—
292Q8×C11—82no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—22no—
302C2×C4×C11—24no—
303C2×C4×C11—24no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—22no—
307C2×C4×C11—44no—
308C2×C4×C11—44no—
309C2×C4×C11—44no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D412yes—
312C22⋊D11—48no—
313C2×Dic11—28no—
314C2×Dic11—28no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—24no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—24no—
322C2×Dic11—24no—
323C2×Dic11—22no—
324C2×Dic11—24no—
325C2×Dic11—22no—
326C2×Dic11—44no—
327C2×Dic11C22×D414yes—
328C2×Dic11C22×D414yes—
329C2×Dic11H(5,𝔽2)14yes—
330D44—82no—
331D44—88no—
332C4×D11—48no—
333C4×D11—48no—
334C4×D11—84no—
335Dic22—416no—
336C23×Q8—111no—
337C24×C4—111no—
338#539—228no—
339C2×#126—112no—
340C2×#125—112no—
341C2×#123—112no—
342C2×#123—112no—
343C2×#123—112no—
344C2×C22⋊Q8—112no—
345C2×C22⋊Q8—112no—
346C2×C22⋊Q8—114no—
347C2×C22⋊Q8—114no—
348C2×C22⋊Q8—114no—
349C2×C22⋊Q8—228no—
350C2×C22⋊Q8C2×D1111yescharacteristic
351C2×#121—111no—
352C2×#121—112no—
353C2×#120—112no—
354C2×C4×D4—112no—
355C2×#117—112no—
356C22×C4⋊C4—111no—
357C22×C4⋊C4—111no—
358C22×C4⋊C4C2×D1111yescharacteristic
359C22×C22⋊C4—111no—
360C22×C22⋊C4—111no—
361#400C2×D1112yescomplemented
362#398—112no—
363#398—114no—
364#398C2×D1114yescomplemented
365#396—114no—
366#396—114no—
367#396—114no—
368#396—114no—
369#395—114no—
370#395C2×D1112yescomplemented
371#394—112no—
372#394—114no—
373#394—114no—
374#393—114no—
375#391—114no—
376#390—114no—
377#389—114no—
378#389—114no—
379#389—114no—
380#388—114no—
381#388—114no—
382#388—114no—
383#386—112no—
384#386—112no—
385#386—114no—
386#386—114no—
387#385—114no—
388#385—112no—
389#385C2×D1112yes—
390#381C2×D1112yes—
391#380—111no—
392#380—112no—
393#380—112no—
394#380—112no—
395#380C2×D1111yescharacteristic
396#379—112no—
397C22×C11—22no—
398C22×C11—22no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11#53714yes—
402C22×C11C23×D411yescharacteristic
403C22×C11C2×H(5,𝔽2)11yescharacteristic
404C22×C11C2×H(5,𝔽2)12yes—
405C22×C11C2×2−1+411yescharacteristic
406C22×C11C2×2−1+412yes—
407C2×D11—24no—
408C2×D11—24no—
409C2×D11—24no—
410C2×D11—416no—
411C2×D11—42no—
412C2×D11—42no—
413C2×D11—42no—
414C2×D11—42no—
415C2×D11—42no—
416C2×D11—42no—
417C2×D11—42no—
418C2×D11—44no—
419C2×D11—44no—
420C4×C11—22no—
421C4×C11—22no—
422C4×C11—42no—
423C4×C11—42no—
424C4×C11—42no—
425C4×C11—42no—
426C4×C11—44no—
427Dic11—24no—
428Dic11—24no—
429Dic11—24no—
430Dic11—42no—
431Dic11—44no—
432C25—111no—
433C22×Q8—114no—
434C22×Q8—224no—
435C22×Q8—444no—
436C22×Q8C22×D1111yescharacteristic
437C22×D4—112no—
438C22×D4—114no—
439C22×D4—111no—
440C23×C4—111no—
441C23×C4—111no—
442C23×C4—111no—
443C23×C4—112no—
444C23×C4—112no—
445C23×C4—112no—
446C23×C4—224no—
447C23×C4—444no—
448C23×C4C22×D1111yescharacteristic
449C23×C4C22×D1111yescharacteristic
450C23×C4C22×D1111yescharacteristic
451#126—228no—
452#125—228no—
453#123—228no—
454#123—228no—
455#123—444no—
456C22⋊Q8—24no—
457C22⋊Q8—2216no—
458C22⋊Q8—2216no—
459C22⋊Q8—228no—
460C22⋊Q8—448no—
461C22⋊Q8—444no—
462#121—224no—
463#121—444no—
464#120—444no—
465C4×D4—228no—
466#117—444no—
467C2×C4⋊C4—24no—
468C2×C4⋊C4—118no—
469C2×C4⋊C4—112no—
470C2×C4⋊C4—112no—
471C2×C4⋊C4—114no—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—111no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—114no—
480C2×C4⋊C4—114no—
481C2×C4⋊C4—224no—
482C2×C4⋊C4C22×D1112yes—
483C2×C4⋊C4C22×D1112yes—
484C2×C4⋊C4C22×D1112yes—
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C4⋊C4C22×D1112yes—
487C2×C4⋊C4C22×D1114yes—
488C2×C22⋊C4—112no—
489C2×C22⋊C4—114no—
490C2×C22⋊C4—114no—
491C2×C22⋊C4—112no—
492C2×C22⋊C4—112no—
493C2×C22⋊C4—114no—
494C2×C22⋊C4—112no—
495C2×C22⋊C4—112no—
496C2×C22⋊C4—114no—
497C2×C22⋊C4—114no—
498C2×C22⋊C4—114no—
499C2×C22⋊C4—114no—
500C2×C22⋊C4—114no—
501C2×C22⋊C4—224no—
502C2×C22⋊C4—224no—
503C2×C22⋊C4C22×D1112yes—
504C2×C22⋊C4C22×D1112yes—
505C2×C42—112no—
506C2×C42—114no—
507#95—114no—
508#95—112no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95C22×D1112yes—
513#95C22×D1114yes—
514#95C22×D1114yes—
515#95C22×D1114yes—
516C2×C11—24no—
517C2×C11C2×#53711yescharacteristic
518C2×C11#348411yescharacteristic
519C2×C11#348611yescharacteristic
520C2×C11#353612yes—
521C2×C11#353812yes—
522D11—44no—
523D11—82no—
524C24—112no—
525C24—112no—
526C24—224no—
527C24—222no—
528C24—222no—
529C24—222no—
530C24—442no—
531C24C23×D1111yescharacteristic
532C2×Q8—22no—
533C2×Q8—42no—
534C2×Q8—228no—
535C2×Q8—228no—
536C2×Q8—444no—
537C2×Q8—4416no—
538C2×D4—228no—
539C2×D4—224no—
540C2×D4—224no—
541C2×D4—224no—
542C2×D4—222no—
543C2×D4—444no—
544C2×D4—442no—
545C2×D4—444no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—114no—
553C22×C4—112no—
554C22×C4—112no—
555C22×C4—112no—
556C22×C4—114no—
557C22×C4—114no—
558C22×C4—112no—
559C22×C4—224no—
560C22×C4—224no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—224no—
567C22×C4—224no—
568C22×C4—442no—
569C22×C4—442no—
570C22×C4—444no—
571C22×C4—4416no—
572C22×C4—442no—
573C22×C4D4×D1114yes—
574C22×C4C23×D1112yes—
575C22×C4C23×D1114yes—
576C22×C4C23×D1112yes—
577C22×C4C23×D1112yes—
578C22×C4C23×D1112yes—
579C22×C4C23×D1111yescharacteristic
580C22×C4C23×D1111yescharacteristic
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—22no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—118no—
588C4⋊C4—118no—
589C4⋊C4—228no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—228no—
593C4⋊C4—224no—
594C4⋊C4—222no—
595C4⋊C4—444no—
596C4⋊C4—444no—
597C4⋊C4—442no—
598C4⋊C4—444no—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—228no—
602C22⋊C4—228no—
603C22⋊C4—224no—
604C22⋊C4—228no—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—228no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4—444no—
611C22⋊C4—444no—
612C22⋊C4—444no—
613C22⋊C4—444no—
614C42—224no—
615C42—444no—
616C11#3671911yescharacteristic, complemented, Sylow
617C23—22no—
618C23—22no—
619C23—114no—
620C23—228no—
621C23—222no—
622C23—222no—
623C23—222no—
624C23—222no—
625C23—222no—
626C23—222no—
627C23—222no—
628C23—222no—
629C23—222no—
630C23—224no—
631C23—224no—
632C23—448no—
633C23—448no—
634C23—444no—
635C23—444no—
636C23C2×D4×D1112yes—
637C23#6704012yes—
638C23#6704212yes—
639C23C24×D1111yescharacteristic
640Q8—82no—
641Q8—4416no—
642D4—448no—
643D4—882no—
644D4—888no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—114no—
663C2×C4—114no—
664C2×C4—114no—
665C2×C4—228no—
666C2×C4—228no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—224no—
675C2×C4—222no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—448no—
679C2×C4—448no—
680C2×C4—444no—
681C2×C4—884no—
682C2×C4C2×D4×D1112yes—
683C2×C4C2×D4×D1112yes—
684C22—22no—
685C22—22no—
686C22—24no—
687C22—24no—
688C22—224no—
689C22—224no—
690C22—224no—
691C22—4416no—
692C22—442no—
693C22—442no—
694C22—442no—
695C22—442no—
696C22—442no—
697C22—442no—
698C22—442no—
699C22—444no—
700C22—444no—
701C22#1062316014yes—
702C22C22×D4×D1111yescharacteristic
703C22C2×#6704011yescharacteristic
704C22C2×#6704211yescharacteristic
705C22D11×H(5,𝔽2)12yes—
706C22D11×2−1+412yes—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—42no—
713C4—44no—
714C4—224no—
715C4—224no—
716C4—224no—
717C4—442no—
718C4—444no—
719C2—24no—
720C2—444no—
721C2—882no—
722C2C2×#1062316011yescharacteristic
723C2#1308224811yescharacteristic
724C2#1308226511yescharacteristic
725C2#1308284012yes—
726C2#1308285812yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2627C2
prime radical#13076899C2
hypercenter#2627D11
hypocenterC11#36719
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2627

Complements

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

NH ≅ G/Ntype
1. C2×#10623176C2semidirect
2. C22×#66949C2semidirect
3. #13076900C2semidirect
5. #13075280C2semidirect
6. #13075246C2semidirect
7. #13074990C2semidirect
8. #13074961C2semidirect
9. #13074358C2semidirect
10. #13073511C2semidirect
11. #13072025C2semidirect
12. #13071999C2semidirect
13. #13071980C2semidirect
14. #13071233C2semidirect
15. C11×#2627C2semidirect
21. C2×#66999C22semidirect
29. C2×#66951C22semidirect
33. C2×#66949C22semidirect
35. C2×#66947C22semidirect
36. C2×#66943C22semidirect
41. C11×#400C22semidirect
42. C11×#398C22semidirect
43. C11×#395C22semidirect
50. #10622607C22semidirect
51. #10622604C22semidirect
56. #10622596C22semidirect
57. #10622592C22semidirect
58. #10622585C22semidirect
64. #10622289C22semidirect
65. #10622286C22semidirect
70. #10622282C22semidirect
73. #10622270C22semidirect
74. #10622260C22semidirect
75. #10622260C22semidirect
76. #10622259C22semidirect
130. C2×Dic11⋊C4D4semidirect
262. #2627D11semidirect
361. #400C2×D11semidirect
364. #398C2×D11semidirect
370. #395C2×D11semidirect
616. C11#36719semidirect

Maximal subgroups

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

subgroupindex
C2×#106231762
C22×#669492
#130769002
#130768992
#130752802
#130752462
#130749902
#130749612
#130743582
#130735112
#130720252
#130719992
#130719802
#130712332
C11×#26272
#3671911