Finite Group Databasebeta

← #15624559

Subgroups — #15624559

Order 2816.

2322 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13081945C211yesmaximal, characteristic, complemented
2#13079488C214yesmaximal, complemented
3#13079477C214yesmaximal, complemented
4#13079468C218yesmaximal, complemented
5#13078552C212yesmaximal, complemented
6#13078547C212yesmaximal, complemented
7#13078231C214yesmaximal, complemented
8#13077866C212yesmaximal, complemented
9#13077843C212yesmaximal, complemented
10#13077061C211yesmaximal, characteristic, complemented
11C2×C11×#535C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C23×D4×C11C2211yescharacteristic, complemented
14C22×#4339C2211yescharacteristic, complemented
15C11×#535—22no—
16C11×#535—22no—
17C11×#535C2214yes—
18C11×#535C2214yescomplemented
19C2×C11×#127—21no—
20C2×C11×#124—21no—
21C2×C11×#121C2212yes—
22C2×C11×#121C2212yescomplemented
23C2×C11×#120—21no—
24C2×C11×#120—21no—
25C2×C11×#117C2211yescharacteristic, complemented
26#10623364C2214yescomplemented
27#10623363—22no—
28#10623361C2212yescomplemented
29#10623359—22no—
30#10623356C2212yescomplemented
31#10623347—21no—
32#10623336—21no—
33#10623335—21no—
34#10623335—21no—
35C2×#66985C2214yes—
36#10623322C2212yes—
37#10623322C2212yescomplemented
38C2×#66979C2211yescharacteristic, complemented
39C22×#4318C2212yescomplemented
40#10622847C2214yescomplemented
41#10622847C2214yescomplemented
42#10622831C2218yescomplemented
43#10622830C2218yescomplemented
44#10622828C2214yescomplemented
45#10622820C2212yescomplemented
46#10622820C2212yescomplemented
47#10622655C2218yescomplemented
48#10622654C2218yescomplemented
49#10622653C2214yescomplemented
50#10622652C2218yescomplemented
51#10622651C2218yescomplemented
52#10622650C2218yescomplemented
53#10622649C2214yescomplemented
54#10622648C2218yescomplemented
55#10622647C2214yescomplemented
56#10622646C2214yescomplemented
57#10622616C2218yescomplemented
58#10622609C2218yescomplemented
59#10622579C2214yescomplemented
60#10622577C2214yescomplemented
61C25×C11—21no—
62C2×C11×#41—44no—
63C2×C11×#41D412yes—
64C2×C11×#41D412yes—
65C2×C11×#41C2312yes—
66C2×C11×#41C2312yes—
67C22×Q8×C11D411yescharacteristic
68C22×D4×C11—22no—
69C22×D4×C11—22no—
70C22×D4×C11—21no—
71C22×D4×C11—22no—
72C22×D4×C11—44no—
73C22×D4×C11D411yescharacteristic
74C22×D4×C11D411yescharacteristic
75C22×D4×C11D411yescharacteristic
76C22×D4×C11C2312yes—
77C22×D4×C11C2314yes—
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C22×C22⋊D11—21no—
82C2×#4339—21no—
83C2×#4339—21no—
84C2×#4339—44no—
85C2×#4339C2312yes—
86C2×#4339C2312yescomplemented
87C22×D44C2311yescharacteristic, complemented
88C22×C4×D11—21no—
89C22×Dic22C2311yescharacteristic, complemented
90C11×#127—24no—
91C11×#127—24no—
92C11×#124—24no—
93C11×#124—24no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121—24no—
97C11×#121C2314yes—
98C11×#121C2314yes—
99C11×#121C2318yes—
100C11×#120—24no—
101C11×#120—24no—
102C11×#120—24no—
103C11×#120—24no—
104C11×#117—22no—
105C11×#117C2314yes—
106C2×C11×C4⋊C4C2312yes—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—22no—
109C2×C11×C22⋊C4—22no—
110C2×C42×C11—21no—
111#67006—22no—
112#67006—22no—
113C2×C22⋊Dic11—21no—
114#67000—22no—
115#66999—24no—
116#66997—22no—
117#66993—22no—
118#66992—24no—
119#66992—24no—
120#66991—24no—
121#66990—22no—
122#66990—22no—
123#66989—22no—
124#66988—22no—
125#66988—22no—
126C2×#4324C2318yes—
127#66985—48no—
128C2×#4323C2318yes—
129#66983C2314yes—
130#66983C2314yescomplemented
131#66982—22no—
132#66982—22no—
133C4×C22⋊D11—24no—
134C4×C22⋊D11—24no—
135#66979—21no—
136#66979—21no—
137#66979C2312yes—
138#66979C2312yescomplemented
139C2×C4⋊Dic11C2312yescomplemented
140#66977C2314yes—
141#66977C2314yescomplemented
142C2×C4×Dic11—21no—
143C2×#4318—44no—
144C2×#4318C2314yes—
145C2×#4318C2314yescomplemented
146C22×C11⋊C8C2314yescomplemented
147#66896C2318yes—
148#66896C2318yes—
149C22⋊(C11⋊C8)C2318yes—
150C22⋊(C11⋊C8)C2314yescomplemented
151C22⋊(C11⋊C8)C2314yescomplemented
152#66874C2318yescomplemented
153#66873C2318yescomplemented
154#66872C2318yescomplemented
155#66871C2318yescomplemented
156#60753—111nomaximal, Sylow
157C24×C11—22no—
158C24×C11—24no—
159C24×C11—44no—
160C24×C11—84no—
161C24×C11C2×D411yescharacteristic
162C24×C11C2×D411yescharacteristic
163C24×C11C2×D411yescharacteristic
164C23×D11—21no—
165C11×#41—44no—
166C11×#41—44no—
167C11×#41—42no—
168C11×#41—42no—
169C11×#41—42no—
170C11×#41—42no—
171C2×Q8×C11—42no—
172C2×Q8×C11C2×D412yes—
173C2×Q8×C11C2×D412yes—
174C2×D4×C11—24no—
175C2×D4×C11—28no—
176C2×D4×C11—24no—
177C2×D4×C11—22no—
178C2×D4×C11—24no—
179C2×D4×C11—28no—
180C2×D4×C11—44no—
181C2×D4×C11—44no—
182C2×D4×C11—42no—
183C2×D4×C11—42no—
184C2×D4×C11—42no—
185C2×D4×C11—44no—
186C2×D4×C11—48no—
187C2×D4×C11—84no—
188C2×D4×C11—84no—
189C2×D4×C11C2×D412yes—
190C2×D4×C11C2×D412yes—
191C2×D4×C11C2×D412yes—
192C2×D4×C11C2×D412yes—
193C2×D4×C11C2×D412yes—
194C2×D4×C11C2×D412yes—
195C2×D4×C11C2414yes—
196C22×C4×C11—24no—
197C22×C4×C11—24no—
198C22×C4×C11—24no—
199C22×C4×C11—22no—
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D412yes—
204C22×C4×C11C2×D412yes—
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2412yes—
208C22×C4×C11C2411yescharacteristic
209C22×C4×C11C2411yescharacteristic
210C22×C4×C11C2412yes—
211C22×C4×C11C2411yescharacteristic
212C2×C22⋊D11—22no—
213C2×C22⋊D11—22no—
214C2×C22⋊D11—24no—
215C2×C22⋊D11—24no—
216C2×C22⋊D11—44no—
217C22×Dic11—21no—
218C22×Dic11—22no—
219#4339—28no—
220#4339—44no—
221#4339—44no—
222#4339—44no—
223C2×D44—21no—
224C2×D44—42no—
225C2×D44C2412yes—
226C2×C4×D11—22no—
227C2×C4×D11—22no—
228C2×C4×D11—44no—
229C2×Dic22—21no—
230C2×Dic22—42no—
231C2×Dic22C2412yes—
232C11×C4⋊C4—22no—
233C11×C4⋊C4C2414yes—
234C11×C22⋊C4—24no—
235C11×C22⋊C4—24no—
236C11×C22⋊C4—28no—
237C11×C22⋊C4—24no—
238C42×C11—24no—
239C22⋊Dic11—24no—
240C22⋊Dic11—24no—
241C22⋊Dic11—22no—
242C22⋊Dic11—22no—
243#4324—48no—
244#4323—48no—
245(C2×D11)⋊C4—24no—
246(C2×D11)⋊C4—24no—
247C4⋊Dic11—22no—
248C4⋊Dic11C2414yes—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251C4×Dic11—22no—
252C4×Dic11—22no—
253#4318—28no—
254#4318—44no—
255C2×C11⋊C8—44no—
256C2×C11⋊C8C2418yes—
257#3449—111no—
258C2×#535D1111yescharacteristic, complemented
259#3200—114no—
260#3199—114no—
261#3198—118no—
262#3094—112no—
263#3093—112no—
264#3055—114no—
265#3006—112no—
266#3003—112no—
267#2879—111no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—24no—
272C23×C11—42no—
273C23×C11—42no—
274C23×C11—42no—
275C23×C11—48no—
276C23×C11—44no—
277C23×C11—44no—
278C23×C11—44no—
279C23×C11—88no—
280C23×C11—816no—
281C23×C11C22×D412yes—
282C23×C11C22×D411yescharacteristic
283C23×C11C22×D412yes—
284C23×C11C22×D411yescharacteristic
285C23×C11C22×D411yescharacteristic
286C22×D11—22no—
287C22×D11—42no—
288C22×D11—82no—
289Q8×C11—42no—
290Q8×C11—42no—
291D4×C11—28no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—42no—
295D4×C11—42no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—48no—
299D4×C11—44no—
300D4×C11—84no—
301D4×C11—84no—
302D4×C11—88no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—24no—
309C2×C4×C11—24no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—22no—
313C2×C4×C11—22no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—24no—
317C2×C4×C11—44no—
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C22×D412yes—
320C2×C4×C11C22×D412yes—
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C22×D411yescharacteristic
323C2×C4×C11H(5,𝔽2)14yes—
324C2×C4×C11C2511yescharacteristic
325C22⋊D11—44no—
326C22⋊D11—44no—
327C22⋊D11—84no—
328C22⋊D11—84no—
329C2×Dic11—24no—
330C2×Dic11—22no—
331C2×Dic11—42no—
332C2×Dic11—82no—
333D44—24no—
334D44—42no—
335C4×D11—44no—
336C4×D11—44no—
337Dic22—24no—
338Dic22—42no—
339C11⋊C8—28no—
340C22×#41—111no—
341C22×#41C2×D1111yescharacteristic
342C23×D4C2×D1111yescharacteristic, complemented
343C2×AGL(1,ℤ/8)—114no—
344C22×M16—112no—
345#537—114no—
346#536—112no—
347#536—221no—
348#535—22no—
349#535—22no—
350#535—112no—
351#535—221no—
352#535C2×D1114yes—
353#535C2×D1114yescomplemented
354#534—221no—
355#534—221no—
356#532—222no—
357C2×#127—21no—
358C2×#124—21no—
359#525—112no—
360#525—112no—
361#525—222no—
362C2×#121C2×D1112yes—
363C2×#121C2×D1112yescomplemented
364C2×#120—21no—
365C2×#120—21no—
366C2×#117—111no—
367C2×#117C2×D1111yescharacteristic, complemented
368#485—118no—
369#482—118no—
370#482—118no—
371#481—114no—
372#480—114no—
373#469—118no—
374#468—118no—
375#466—118no—
376#465—118no—
377#450—118no—
378#449—118no—
379#448—114no—
380#447—118no—
381#447—114no—
382#428—114no—
383#418—114no—
384#417—114no—
385#408—114no—
386#408—114no—
387#407—112no—
388#407—112no—
389C22×C11—22no—
390C22×C11—22no—
391C22×C11—22no—
392C22×C11—24no—
393C22×C11—24no—
394C22×C11—21no—
395C22×C11—22no—
396C22×C11—22no—
397C22×C11—21no—
398C22×C11—44no—
399C22×C11—44no—
400C22×C11—44no—
401C22×C11—44no—
402C22×C11—82no—
403C22×C11—82no—
404C22×C11—88no—
405C22×C11—816no—
406C22×C11#53412yes—
407C22×C11C23×D411yescharacteristic
408C2×D11—44no—
409C2×D11—42no—
410C2×D11—84no—
411C4×C11—22no—
412C4×C11—22no—
413C4×C11—21no—
414C4×C11—21no—
415C4×C11—44no—
416C4×C11#53412yes—
417C4×C11C2×H(5,𝔽2)12yes—
418Dic11—44no—
419Dic11—42no—
420C25—21no—
421C2×#41—44no—
422C2×#41—112no—
423C2×#41—112no—
424C2×#41—221no—
425C2×#41—221no—
426C2×#41—444no—
427C2×#41C22⋊D1112yes—
428C2×#41C22⋊D1112yes—
429C2×#41C22×D1112yes—
430C2×#41C22×D1112yes—
431C22×Q8—111no—
432C22×Q8C22⋊D1111yescharacteristic
433C22×D4—22no—
434C22×D4—22no—
435C22×D4—21no—
436C22×D4—22no—
437C22×D4—44no—
438C22×D4—111no—
439C22×D4—221no—
440C22×D4C22⋊D1111yescharacteristic
441C22×D4C22⋊D1111yescharacteristic
442C22×D4C22⋊D1111yescharacteristic
443C22×D4C22×D1112yes—
444C22×D4C22×D1114yes—
445C23×C4—221no—
446C23×C4C22×D1111yescharacteristic
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1111yescharacteristic
449AGL(1,ℤ/8)—448no—
450C2×SD16—118no—
451C2×D8—118no—
452C2×M16—114no—
453C2×M16—114no—
454C2×M16—444no—
455C22×C8—114no—
456C4⋊Q8—222no—
457#127—24no—
458#127—24no—
459#127—222no—
460#124—24no—
461#124—24no—
462#124—222no—
463#124—222no—
464#123—222no—
465#123—222no—
466#123—222no—
467#123—222no—
468C22⋊Q8—114no—
469C22⋊Q8—114no—
470C22⋊Q8—224no—
471#121—22no—
472#121—22no—
473#121—24no—
474#121—114no—
475#121—114no—
476#121—224no—
477#121—224no—
478#121—224no—
479#121C22×D1114yes—
480#121C22×D1114yes—
481#121C22×D1118yes—
482#120—24no—
483#120—24no—
484#120—24no—
485#120—24no—
486#120—222no—
487#120—222no—
488#120—222no—
489#120—222no—
490C4×D4—224no—
491C4×D4—224no—
492#117—22no—
493#117—112no—
494#117—112no—
495#117—221no—
496#117—221no—
497#117C22×D1114yes—
498C2×C4⋊C4—112no—
499C2×C4⋊C4C22×D1112yes—
500C2×C22⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4—22no—
503C2×C22⋊C4—221no—
504C2×C42—21no—
505C2×C42—221no—
506#107—118no—
507#106—118no—
508#103—118no—
509#102—118no—
510#102—118no—
511#102—118no—
512C22⋊C8—118no—
513C22⋊C8—114no—
514C22⋊C8—114no—
515C2×C11—22no—
516C2×C11—41no—
517C2×C11—42no—
518C2×C11—41no—
519C2×C11—42no—
520C2×C11—84no—
521C2×C11C2×#53411yescharacteristic
522C2×C11#358512yes—
523D11—82no—
524C24—22no—
525C24—24no—
526C24—44no—
527C24—84no—
528C24—221no—
529C24C2×C22⋊D1111yescharacteristic
530C24C2×C22⋊D1111yescharacteristic
531C24C2×C22⋊D1111yescharacteristic
532#41—42no—
533#41—42no—
534#41—42no—
535#41—42no—
536#41—44no—
537#41—44no—
538#41—228no—
539#41—444no—
540#41—444no—
541#41—444no—
542C2×Q8—42no—
543C2×Q8—112no—
544C2×Q8—221no—
545C2×Q8—442no—
546C2×Q8C2×C22⋊D1112yes—
547C2×Q8C2×C22⋊D1112yes—
548C2×D4—24no—
549C2×D4—28no—
550C2×D4—24no—
551C2×D4—28no—
552C2×D4—22no—
553C2×D4—24no—
554C2×D4—44no—
555C2×D4—44no—
556C2×D4—42no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—44no—
560C2×D4—48no—
561C2×D4—84no—
562C2×D4—84no—
563C2×D4—112no—
564C2×D4—222no—
565C2×D4—222no—
566C2×D4—224no—
567C2×D4—224no—
568C2×D4—221no—
569C2×D4—442no—
570C2×D4—444no—
571C2×D4C2×C22⋊D1112yes—
572C2×D4C2×C22⋊D1112yes—
573C2×D4C2×C22⋊D1112yes—
574C2×D4C2×C22⋊D1112yes—
575C2×D4C2×C22⋊D1112yes—
576C2×D4C2×C22⋊D1112yes—
577C2×D4C23×D1114yes—
578C22×C4—24no—
579C22×C4—24no—
580C22×C4—24no—
581C22×C4—22no—
582C22×C4—221no—
583C22×C4—222no—
584C22×C4—222no—
585C22×C4—222no—
586C22×C4—444no—
587C22×C4C2×C22⋊D1111yescharacteristic
588C22×C4C2×C22⋊D1111yescharacteristic
589C22×C4C2×C22⋊D1111yescharacteristic
590C22×C4C2×C22⋊D1111yescharacteristic
591C22×C4C2×C22⋊D1112yes—
592C22×C4C2×C22⋊D1111yescharacteristic
593C22×C4C2×C22⋊D1112yes—
594C22×C4C23×D1111yescharacteristic
595C22×C4C23×D1111yescharacteristic
596C22×C4C23×D1112yes—
597C22×C4C23×D1112yes—
598C22×C4C23×D1111yescharacteristic
599SD16—448no—
600D8—448no—
601M16—228no—
602M16—444no—
603C2×C8—118no—
604C2×C8—444no—
605C4⋊C4—22no—
606C4⋊C4—114no—
607C4⋊C4—222no—
608C4⋊C4—224no—
609C4⋊C4—224no—
610C4⋊C4C23×D1114yes—
611C22⋊C4—24no—
612C22⋊C4—24no—
613C22⋊C4—28no—
614C22⋊C4—24no—
615C22⋊C4—222no—
616C22⋊C4—222no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C42—24no—
622C42—222no—
623C42—222no—
624C11#6075311yescharacteristic, complemented, Sylow
625C23—22no—
626C23—22no—
627C23—22no—
628C23—24no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—48no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—88no—
637C23—816no—
638C23—222no—
639C23—442no—
640C23—882no—
641C23C22×C22⋊D1112yes—
642C23C22×C22⋊D1111yescharacteristic
643C23C22×C22⋊D1112yes—
644C23C22×C22⋊D1111yescharacteristic
645C23C22×C22⋊D1111yescharacteristic
646Q8—42no—
647Q8—42no—
648Q8—224no—
649Q8—442no—
650D4—28no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—42no—
657D4—48no—
658D4—44no—
659D4—84no—
660D4—88no—
661D4—84no—
662D4—224no—
663D4—442no—
664D4—444no—
665D4—444no—
666D4—884no—
667D4—884no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—44no—
683C2×C4—224no—
684C2×C4—222no—
685C2×C4—444no—
686C2×C4—442no—
687C2×C4—444no—
688C2×C4—882no—
689C2×C4#6703714yes—
690C2×C4C22×C22⋊D1112yes—
691C2×C4C22×C22⋊D1111yescharacteristic
692C2×C4C22×C22⋊D1112yes—
693C2×C4C22×C22⋊D1111yescharacteristic
694C2×C4C22×C22⋊D1111yescharacteristic
695C2×C4C24×D1111yescharacteristic
696C8—228no—
697C22—22no—
698C22—22no—
699C22—24no—
700C22—22no—
701C22—24no—
702C22—21no—
703C22—21no—
704C22—22no—
705C22—22no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—82no—
711C22—82no—
712C22—88no—
713C22—816no—
714C22—444no—
715C22—442no—
716C22—884no—
717C22#1062333512yes—
718C22C23×C22⋊D1111yescharacteristic
719C4—21no—
720C4—22no—
721C4—21no—
722C4—22no—
723C4—44no—
724C4—444no—
725C4—442no—
726C4#1062333512yes—
727C4C2×#6703712yes—
728C2—22no—
729C2—42no—
730C2—41no—
731C2—41no—
732C2—42no—
733C2—84no—
734C2—882no—
735C2C2×#1062333511yescharacteristic
736C2#1308339612yes—
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#535C2
socleC22×C11C23×D4
hypercenterC2×#535D11
hypocenterC11#60753
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C22×#41 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #13081945C2semidirect
2. #13079488C2semidirect
3. #13079477C2semidirect
4. #13079468C2semidirect
5. #13078552C2semidirect
6. #13078547C2semidirect
7. #13078231C2semidirect
8. #13077866C2semidirect
9. #13077843C2semidirect
10. #13077061C2semidirect
11. C2×C11×#535C2semidirect
13. C23×D4×C11C22semidirect
14. C22×#4339C22semidirect
18. C11×#535C22semidirect
22. C2×C11×#121C22semidirect
25. C2×C11×#117C22semidirect
26. #10623364C22semidirect
28. #10623361C22semidirect
30. #10623356C22semidirect
37. #10623322C22semidirect
38. C2×#66979C22semidirect
39. C22×#4318C22semidirect
40. #10622847C22semidirect
41. #10622847C22semidirect
42. #10622831C22semidirect
43. #10622830C22semidirect
44. #10622828C22semidirect
45. #10622820C22semidirect
46. #10622820C22semidirect
47. #10622655C22semidirect
48. #10622654C22semidirect
49. #10622653C22semidirect
50. #10622652C22semidirect
51. #10622651C22semidirect
52. #10622650C22semidirect
53. #10622649C22semidirect
54. #10622648C22semidirect
55. #10622647C22semidirect
56. #10622646C22semidirect
57. #10622616C22semidirect
58. #10622609C22semidirect
59. #10622579C22semidirect
60. #10622577C22semidirect
86. C2×#4339C23semidirect
87. C22×D44C23semidirect
89. C22×Dic22C23semidirect
130. #66983C23semidirect
138. #66979C23semidirect
139. C2×C4⋊Dic11C23semidirect
141. #66977C23semidirect
145. C2×#4318C23semidirect
146. C22×C11⋊C8C23semidirect
150. C22⋊(C11⋊C8)C23semidirect
151. C22⋊(C11⋊C8)C23semidirect
152. #66874C23semidirect
153. #66873C23semidirect
154. #66872C23semidirect
155. #66871C23semidirect
258. C2×#535D11semidirect
342. C23×D4C2×D11semidirect
353. #535C2×D11semidirect
363. C2×#121C2×D11semidirect
367. C2×#117C2×D11semidirect
624. C11#60753semidirect

Maximal subgroups

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

subgroupindex
#130819452
#130794882
#130794772
#130794682
#130785522
#130785472
#130782312
#130778662
#130778432
#130770612
C2×C11×#5352
#6075311