Finite Group Databasebeta

← #14960768

Subgroups — #14960768

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×#10623133C211yesmaximal, characteristic, complemented
2C22×#66949C211yesmaximal, characteristic, complemented
3#13076904C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic
5#13075276C214yesmaximal, complemented
6#13075250C214yesmaximal, complemented
7#13074985C214yesmaximal, complemented
8#13074970C214yesmaximal, complemented
9#13074429C211yesmaximal, characteristic, complemented
10#13073505C212yesmaximal, complemented
11#13072019C212yesmaximal, complemented
12#13072004C212yesmaximal, complemented
13#13071978C212yesmaximal, complemented
14#13071233C211yesmaximal, characteristic, complemented
15C11×#2618C211yesmaximal, characteristic, complemented
16C23×C4×D11C2211yescharacteristic
17C23×Dic22C2211yescharacteristic
18C2×C11×#123C2212yes—
19C2×C11×#121C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C2×#66991C2212yes—
22C2×#66990C2212yes—
23C2×#66988C2212yes—
24C2×#66988C2212yescomplemented
25C2×D4×Dic11C2212yes—
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C2×#66977C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31#10623133—28no—
32C2×#66950C2212yes—
33C2×#66949—28no—
34C2×#66949C2214yes—
35C2×#66949C2214yes—
36C2×#66942C2212yescomplemented
37C2×#66932C2212yescomplemented
38C2×#66931C2212yescomplemented
39C2×#66931C2214yescomplemented
40C2×#66930C2212yes—
41C11×#398C2212yescomplemented
42C11×#396C2214yescomplemented
43C11×#394C2212yescomplemented
44C11×#386C2212yes—
45C11×#380C2211yescharacteristic
46#10622833C2212yes—
47#10622825C2211yescharacteristic
48#10622824C2212yes—
49#10622823C2212yes—
50#10622607C2214yes—
51#10622603C2214yes—
52#10622600C2212yes—
53#10622600C2212yes—
54#10622599C2212yescomplemented
55#10622597C2214yescomplemented
56#10622593C2214yescomplemented
57#10622592C2212yescomplemented
58#10622586C2214yescomplemented
59#10622585C2214yescomplemented
60#10622572C2214yes—
61#10622572C2214yes—
62#10622571C2214yes—
63#10622570C2214yes—
64#10622569C2214yes—
65#10622568C2212yes—
66#10622563C2212yes—
67#10622561C2214yescomplemented
68#10622560C2214yescomplemented
69#10622557C2214yescomplemented
70#10622555C2212yes—
71#10622289C2214yes—
72#10622282C2214yes—
73#10622281C2214yes—
74#10622269C2214yescomplemented
75#10622260C2214yescomplemented
76#10622259C2214yescomplemented
77C24×D11C2311yescharacteristic
78C22×D4×C11C2312yes—
79C22×D4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C22×C22⋊D11C2314yes—
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C23×Dic11C2312yes—
87C23×Dic11C2311yescharacteristic
88C22×C4×D11—24no—
89C22×C4×D11—44no—
90C22×C4×D11C2312yes—
91C22×C4×D11C2312yes—
92C22×Dic22—24no—
93C22×Dic22—44no—
94C22×Dic22C2314yes—
95C22×Dic22C2311yescharacteristic
96C11×#123—44no—
97C11×#121—24no—
98C2×C11×C4⋊C4—24no—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2314yes—
107C2×C11×C22⋊C4C2314yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2314yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2312yes—
114#66991—44no—
115#66990—44no—
116#66988—28no—
117#66988—28no—
118D4×Dic11—28no—
119C2×(C2×D11)⋊C4—24no—
120C2×(C2×D11)⋊C4—24no—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2314yes—
124C2×(C2×D11)⋊C4C2314yes—
125C2×(C2×D11)⋊C4C2314yes—
126C2×C4⋊Dic11C2312yes—
127C2×C4⋊Dic11C2314yes—
128C2×C4⋊Dic11C2311yescharacteristic
129C2×C4⋊Dic11C2312yes—
130#66977—24no—
131C2×Dic11⋊C4—24no—
132C2×Dic11⋊C4D418yescomplemented
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2312yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2314yes—
137C2×Dic11⋊C4C2314yes—
138C2×Dic11⋊C4C2314yes—
139C2×Dic11⋊C4C2314yes—
140C2×Dic11⋊C4C2312yes—
141C2×Dic11⋊C4C2312yes—
142C2×C4×Dic11C2312yes—
143C2×C4×Dic11C2314yes—
144#66950—44no—
145#66949—216no—
146#66949—216no—
147#66942—28no—
148#66932—28no—
149#66931—28no—
150#66931—48no—
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×C11C2412yes—
163C24×C11C2411yescharacteristic
164C23×D11—22no—
165C23×D11—24no—
166C23×D11—22no—
167C23×D11—22no—
168C23×D11—42no—
169C23×D11C2412yes—
170C2×D4×C11—24no—
171C2×D4×C11—24no—
172C2×D4×C11—24no—
173C2×D4×C11—22no—
174C2×D4×C11—42no—
175C22×C4×C11—22no—
176C22×C4×C11—22no—
177C22×C4×C11—22no—
178C22×C4×C11—22no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11C2×D414yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2414yes—
184C22×C4×C11C2412yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C2×C22⋊D11—28no—
189C2×C22⋊D11—44no—
190C2×C22⋊D11—44no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—22no—
196C22×Dic11—42no—
197C22×Dic11—44no—
198C22×Dic11C2×D414yes—
199C22×Dic11C2×D414yes—
200C22×Dic11C2414yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—42no—
211C2×C4×D11—42no—
212C2×C4×D11—416no—
213C2×Dic22—28no—
214C2×Dic22—28no—
215C2×Dic22—22no—
216C2×Dic22—44no—
217C2×Dic22—42no—
218C2×Dic22—416no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—24no—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—42no—
223C11×C4⋊C4—44no—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—44no—
227C11×C22⋊C4—44no—
228C22⋊Dic11—24no—
229C22⋊Dic11—24no—
230C22⋊Dic11—24no—
231C22⋊Dic11—28no—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234(C2×D11)⋊C4—28no—
235(C2×D11)⋊C4—28no—
236(C2×D11)⋊C4—28no—
237(C2×D11)⋊C4—44no—
238(C2×D11)⋊C4—44no—
239C4⋊Dic11—24no—
240C4⋊Dic11—28no—
241C4⋊Dic11—22no—
242C4⋊Dic11—42no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—28no—
246Dic11⋊C4—24no—
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#2627—111no—
263#2618D1111yescharacteristic, complemented
264#2534—112no—
265#2413—112no—
266#2411—112no—
267#2409—112no—
268#2316—111no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—24no—
273C23×C11—22no—
274C23×C11—24no—
275C23×C11—22no—
276C23×C11C22×D412yes—
277C23×C11H(5,𝔽2)12yes—
278C23×C112−1+412yes—
279C23×C11C2511yescharacteristic
280C22×D11—28no—
281C22×D11—22no—
282C22×D11—22no—
283C22×D11—22no—
284C22×D11—22no—
285C22×D11—22no—
286C22×D11—22no—
287C22×D11—48no—
288C22×D11—48no—
289C22×D11—44no—
290C22×D11—44no—
291C22×D112−1+414yes—
292D4×C11—48no—
293D4×C11—82no—
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—24no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—24no—
305C2×C4×C11—22no—
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—88no—
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—22no—
322C2×Dic11—24no—
323C2×Dic11—24no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—44no—
328C2×Dic11—84no—
329C2×Dic11C22×D414yes—
330C2×Dic11C22×D414yes—
331C2×Dic11H(5,𝔽2)14yes—
332C4×D11—48no—
333C4×D11—48no—
334Dic22—416no—
335Dic22—82no—
336C23×Q8—111no—
337C24×C4—111no—
338#539—228no—
339C2×#126—112no—
340C2×#125—112no—
341C2×#123—112no—
342C2×#123—112no—
343C2×#123C2×D1112yes—
344C2×C22⋊Q8—111no—
345C2×C22⋊Q8—114no—
346C2×C22⋊Q8—114no—
347C2×C22⋊Q8—112no—
348C2×C22⋊Q8—112no—
349C2×C22⋊Q8—114no—
350C2×C22⋊Q8—228no—
351C2×#121—112no—
352C2×#121C2×D1111yescharacteristic
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#400—112no—
362#398—114no—
363#398—114no—
364#398C2×D1112yescomplemented
365#396—114no—
366#396—114no—
367#396—114no—
368#396C2×D1114yescomplemented
369#395—112no—
370#395—114no—
371#394—114no—
372#394—114no—
373#394C2×D1112yescomplemented
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—114no—
385#386—114no—
386#386C2×D1112yes—
387#385—112no—
388#385—112no—
389#385—114no—
390#381—112no—
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—42no—
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—44no—
405C22×C11—44no—
406C22×C11#53714yes—
407C22×C11C23×D411yescharacteristic
408C22×C11C2×H(5,𝔽2)11yescharacteristic
409C22×C11C2×H(5,𝔽2)12yes—
410C22×C11C2×2−1+411yescharacteristic
411C22×C11C2×2−1+412yes—
412C2×D11—24no—
413C2×D11—24no—
414C2×D11—24no—
415C2×D11—416no—
416C2×D11—42no—
417C2×D11—42no—
418C2×D11—42no—
419C2×D11—42no—
420C4×C11—22no—
421C4×C11—22no—
422C4×C11—42no—
423C4×C11—42no—
424C4×C11—42no—
425C4×C11—44no—
426Dic11—24no—
427Dic11—24no—
428Dic11—24no—
429Dic11—42no—
430Dic11—42no—
431Dic11—44no—
432C25—111no—
433C22×Q8—114no—
434C22×Q8—111no—
435C22×Q8—224no—
436C22×Q8—444no—
437C22×D4—114no—
438C22×D4C22×D1112yes—
439C22×D4C22×D1111yescharacteristic
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—44no—
454#123—228no—
455#123—228no—
456C22⋊Q8—228no—
457C22⋊Q8—2216no—
458C22⋊Q8—2216no—
459C22⋊Q8—224no—
460C22⋊Q8—448no—
461C22⋊Q8—444no—
462#121—24no—
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—114no—
474C2×C4⋊C4—112no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—112no—
478C2×C4⋊C4—114no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—114no—
481C2×C4⋊C4—114no—
482C2×C4⋊C4—224no—
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—112no—
490C2×C22⋊C4—112no—
491C2×C22⋊C4—114no—
492C2×C22⋊C4—112no—
493C2×C22⋊C4—112no—
494C2×C22⋊C4—114no—
495C2×C22⋊C4—114no—
496C2×C22⋊C4—114no—
497C2×C22⋊C4—114no—
498C2×C22⋊C4—114no—
499C2×C22⋊C4—224no—
500C2×C22⋊C4—224no—
501C2×C22⋊C4C22×D1112yes—
502C2×C22⋊C4C22×D1112yes—
503C2×C22⋊C4C22×D1114yes—
504C2×C22⋊C4C22×D1114yes—
505C2×C42—112no—
506C2×C42—114no—
507#95—114no—
508#95—112no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95—114no—
514#95C22×D1112yes—
515#95C22×D1114yes—
516C2×C11—24no—
517C2×C11—82no—
518C2×C11C2×#53711yescharacteristic
519C2×C11#348411yescharacteristic
520C2×C11#348611yescharacteristic
521C2×C11#353612yes—
522C2×C11#353812yes—
523D11—44no—
524C24—112no—
525C24—224no—
526C24—222no—
527C24—222no—
528C24—222no—
529C24—442no—
530C24C23×D1112yes—
531C24C23×D1111yescharacteristic
532C2×Q8—228no—
533C2×Q8—228no—
534C2×Q8—222no—
535C2×Q8—444no—
536C2×Q8—442no—
537C2×Q8—4416no—
538C2×D4—24no—
539C2×D4—24no—
540C2×D4—24no—
541C2×D4—22no—
542C2×D4—42no—
543C2×D4—228no—
544C2×D4—444no—
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—112no—
558C22×C4—114no—
559C22×C4—112no—
560C22×C4—224no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—224no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—224no—
568C22×C4—224no—
569C22×C4—442no—
570C22×C4—442no—
571C22×C4—4416no—
572C22×C4—442no—
573C22×C4—444no—
574C22×C4D4×D1114yes—
575C22×C4C23×D1112yes—
576C22×C4C23×D1114yes—
577C22×C4C23×D1112yes—
578C22×C4C23×D1112yes—
579C22×C4C23×D1111yescharacteristic
580C22×C4C23×D1111yescharacteristic
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—22no—
584C4⋊C4—42no—
585C4⋊C4—44no—
586C4⋊C4—118no—
587C4⋊C4—118no—
588C4⋊C4—228no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—228no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—222no—
595C4⋊C4—444no—
596C4⋊C4—442no—
597C4⋊C4—444no—
598C4⋊C4—444no—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—228no—
604C22⋊C4—228no—
605C22⋊C4—228no—
606C22⋊C4—224no—
607C22⋊C4—228no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—444no—
613C22⋊C4—444no—
614C42—224no—
615C42—444no—
616C11#3671911yescharacteristic, complemented, Sylow
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—24no—
623C23—24no—
624C23—114no—
625C23—228no—
626C23—222no—
627C23—222no—
628C23—222no—
629C23—222no—
630C23—222no—
631C23—222no—
632C23—448no—
633C23—448no—
634C23—444no—
635C23—444no—
636C23C2×D4×D1112yes—
637C23#6703712yes—
638C23#6704312yes—
639C23C24×D1111yescharacteristic
640Q8—4416no—
641Q8—882no—
642D4—48no—
643D4—82no—
644D4—888no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—114no—
662C2×C4—114no—
663C2×C4—114no—
664C2×C4—228no—
665C2×C4—228no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
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—42no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—224no—
694C22—224no—
695C22—224no—
696C22—4416no—
697C22—442no—
698C22—442no—
699C22—442no—
700C22—442no—
701C22#1062313914yes—
702C22C22×D4×D1111yescharacteristic
703C22C2×#6703711yescharacteristic
704C22C2×#6704311yescharacteristic
705C22D11×H(5,𝔽2)12yes—
706C22D11×2−1+412yes—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—44no—
713C4—224no—
714C4—224no—
715C4—224no—
716C4—442no—
717C4—442no—
718C4—444no—
719C2—24no—
720C2—82no—
721C2—444no—
722C2C2×#1062313911yescharacteristic
723C2#1308224811yescharacteristic
724C2#1308226511yescharacteristic
725C2#1308283312yes—
726C2#1308286312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2618C2
prime radical#13076895C2
hypercenter#2618D11
hypocenterC11#36719
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2618

Complements

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

NH ≅ G/Ntype
1. C2×#10623133C2semidirect
2. C22×#66949C2semidirect
3. #13076904C2semidirect
5. #13075276C2semidirect
6. #13075250C2semidirect
7. #13074985C2semidirect
8. #13074970C2semidirect
9. #13074429C2semidirect
10. #13073505C2semidirect
11. #13072019C2semidirect
12. #13072004C2semidirect
13. #13071978C2semidirect
14. #13071233C2semidirect
15. C11×#2618C2semidirect
24. C2×#66988C22semidirect
36. C2×#66942C22semidirect
37. C2×#66932C22semidirect
38. C2×#66931C22semidirect
39. C2×#66931C22semidirect
41. C11×#398C22semidirect
42. C11×#396C22semidirect
43. C11×#394C22semidirect
54. #10622599C22semidirect
55. #10622597C22semidirect
56. #10622593C22semidirect
57. #10622592C22semidirect
58. #10622586C22semidirect
59. #10622585C22semidirect
67. #10622561C22semidirect
68. #10622560C22semidirect
69. #10622557C22semidirect
74. #10622269C22semidirect
75. #10622260C22semidirect
76. #10622259C22semidirect
132. C2×Dic11⋊C4D4semidirect
263. #2618D11semidirect
364. #398C2×D11semidirect
368. #396C2×D11semidirect
373. #394C2×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×#106231332
C22×#669492
#130769042
#130768952
#130752762
#130752502
#130749852
#130749702
#130744292
#130735052
#130720192
#130720042
#130719782
#130712332
C11×#26182
#3671911