Finite Group Databasebeta

← #15624561

Subgroups — #15624561

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
2C2×#10623361C211yesmaximal, characteristic, complemented
3#13079489C214yesmaximal, complemented
4#13079481C214yesmaximal, complemented
5#13079470C218yesmaximal, complemented
6#13078557C212yesmaximal, complemented
7#13078549C212yesmaximal, complemented
8#13078235C214yesmaximal, complemented
9#13077870C212yesmaximal, complemented
10#13077846C212yesmaximal, complemented
11C11×#2879C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×#4339C2211yescharacteristic, complemented
14C23×D44C2211yescharacteristic, complemented
15C22×C11×M16C2212yescomplemented
16#10623364C2214yescomplemented
17#10623363—22no—
18#10623361—22no—
19#10623361—22no—
20#10623361C2214yes—
21#10623361C2214yescomplemented
22#10623361C2212yescomplemented
23#10623359—22no—
24#10623356C2212yescomplemented
25#10623347—21no—
26C2×#67000—21no—
27#10623336—21no—
28#10623335—21no—
29#10623335—21no—
30C2×#66993—21no—
31C2×#66990—21no—
32C2×#66990—21no—
33#10623322C2212yes—
34#10623322C2212yescomplemented
35C2×#66983C2212yes—
36C2×#66983C2212yescomplemented
37C2×#66979C2211yescharacteristic, complemented
38C2×#66979C2211yescharacteristic, complemented
39C2×#66961C2214yes—
40C11×#408C2214yescomplemented
41C11×#408C2214yescomplemented
42C11×#407C2212yescomplemented
43C11×#407C2212yescomplemented
44#10622748C2218yescomplemented
45#10622747C2218yescomplemented
46#10622746C2214yescomplemented
47#10622744C2214yescomplemented
48#10622734C2214yescomplemented
49#10622728C2218yescomplemented
50#10622727C2218yescomplemented
51#10622351C2214yescomplemented
52#10622350C2218yescomplemented
53#10622350C2218yescomplemented
54#10622349C2214yescomplemented
55#10622348C2214yescomplemented
56#10622347C2218yescomplemented
57#10622345C2218yescomplemented
58#10622345C2214yescomplemented
59#10622344C2218yescomplemented
60#10622336C2218yescomplemented
61C24×D11—21no—
62C2×C11×#41—44no—
63C2×C11×#41D412yes—
64C2×C11×#41D412yes—
65C2×C11×#41C2312yes—
66C2×C11×#41C2312yes—
67C22×Q8×C11D411yescharacteristic
68C22×D4×C11D411yescharacteristic
69C22×D4×C11D411yescharacteristic
70C22×D4×C11D411yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C22×C22⋊D11—21no—
75C22×C22⋊D11—22no—
76C22×C22⋊D11—22no—
77C2×#4339—21no—
78C2×#4339—21no—
79C2×#4339—44no—
80C2×#4339C2312yes—
81C2×#4339C2312yescomplemented
82C22×D44—21no—
83C22×D44—22no—
84C22×D44—44no—
85C22×D44C2312yes—
86C22×D44C2314yes—
87C22×D44C2311yescharacteristic, complemented
88C22×C4×D11—21no—
89C22×Dic22C2311yescharacteristic, complemented
90C2×C11×M16—44no—
91C2×C11×M16C2314yes—
92C2×C11×M16C2314yescomplemented
93C22×C8×C11C2314yescomplemented
94#67006—22no—
95#67006—22no—
96C2×C22⋊Dic11—21no—
97C2×C22⋊Dic11—21no—
98#67000—24no—
99#67000—24no—
100#67000—22no—
101#66999—24no—
102#66997—22no—
103#66993—24no—
104#66993—24no—
105#66993—22no—
106#66992—24no—
107#66992—24no—
108#66991—24no—
109#66990—24no—
110#66990—24no—
111#66990—24no—
112#66990—24no—
113#66990—22no—
114#66990—22no—
115#66989—22no—
116#66988—22no—
117#66988—22no—
118#66983—22no—
119#66983—22no—
120#66983—24no—
121#66983C2318yes—
122#66983C2314yes—
123#66983C2314yes—
124#66983C2314yes—
125#66983C2314yescomplemented
126#66982—22no—
127#66982—22no—
128C4×C22⋊D11—24no—
129C4×C22⋊D11—24no—
130C2×(C2×D11)⋊C4—22no—
131C2×(C2×D11)⋊C4—22no—
132#66979—21no—
133#66979—21no—
134#66979—22no—
135#66979C2312yes—
136#66979C2314yes—
137#66979C2312yescomplemented
138C2×C4⋊Dic11C2312yes—
139C2×C4⋊Dic11C2312yescomplemented
140#66977C2314yes—
141#66977C2314yescomplemented
142C2×C4×Dic11—21no—
143C2×C4×Dic11—21no—
144#66961—48no—
145C2×D88C2318yes—
146C2×#4314C2318yes—
147C11×C22⋊C8C2318yes—
148C11×C22⋊C8C2314yescomplemented
149C11×C22⋊C8C2314yescomplemented
150#66885C2318yes—
151#66885C2318yes—
152#66885C2318yescomplemented
153#66882C2318yescomplemented
154#66881C2318yescomplemented
155#66880C2318yescomplemented
156#60753—111nomaximal, Sylow
157C24×C11C2×D411yescharacteristic
158C24×C11C2×D411yescharacteristic
159C24×C11C2×D411yescharacteristic
160C23×D11—22no—
161C23×D11—21no—
162C23×D11—24no—
163C23×D11—44no—
164C23×D11—84no—
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—42no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11C2×D412yes—
178C2×D4×C11C2×D412yes—
179C2×D4×C11C2×D412yes—
180C2×D4×C11C2×D412yes—
181C2×D4×C11C2×D412yes—
182C2×D4×C11C2×D412yes—
183C22×C4×C11—24no—
184C22×C4×C11—24no—
185C22×C4×C11—24no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2412yes—
194C22×C4×C11C2411yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C22×C4×C11C2412yes—
197C22×C4×C11C2411yescharacteristic
198C2×C22⋊D11—22no—
199C2×C22⋊D11—22no—
200C2×C22⋊D11—24no—
201C2×C22⋊D11—24no—
202C2×C22⋊D11—24no—
203C2×C22⋊D11—28no—
204C2×C22⋊D11—24no—
205C2×C22⋊D11—44no—
206C2×C22⋊D11—84no—
207C2×C22⋊D11—84no—
208C22×Dic11—22no—
209C22×Dic11—21no—
210C22×Dic11—22no—
211#4339—28no—
212#4339—44no—
213#4339—44no—
214#4339—44no—
215C2×D44—22no—
216C2×D44—24no—
217C2×D44—21no—
218C2×D44—28no—
219C2×D44—44no—
220C2×D44—44no—
221C2×D44—42no—
222C2×D44—44no—
223C2×D44—48no—
224C2×D44C2414yes—
225C2×D44C2412yes—
226C2×C4×D11—22no—
227C2×C4×D11—22no—
228C2×C4×D11—44no—
229C2×Dic22—21no—
230C2×Dic22—42no—
231C2×Dic22C2412yes—
232C11×M16—28no—
233C11×M16—44no—
234C2×C8×C11—44no—
235C2×C8×C11C2418yes—
236C22⋊Dic11—24no—
237C22⋊Dic11—24no—
238C22⋊Dic11—22no—
239C22⋊Dic11—24no—
240C22⋊Dic11—22no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—28no—
243(C2×D11)⋊C4—24no—
244(C2×D11)⋊C4—24no—
245(C2×D11)⋊C4—24no—
246C4⋊Dic11—22no—
247C4⋊Dic11—22no—
248C4⋊Dic11C2414yes—
249C4⋊Dic11C2414yes—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252C4×Dic11—22no—
253C4×Dic11—24no—
254C4×Dic11—22no—
255D88—48no—
256#4314—48no—
257#3449—111no—
258C2×#535—111no—
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#2879D1111yescharacteristic, complemented
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—42no—
272C23×C11—42no—
273C23×C11—42no—
274C23×C11C22×D412yes—
275C23×C11C22×D411yescharacteristic
276C23×C11C22×D412yes—
277C23×C11C22×D411yescharacteristic
278C23×C11C22×D411yescharacteristic
279C22×D11—22no—
280C22×D11—24no—
281C22×D11—42no—
282C22×D11—48no—
283C22×D11—44no—
284C22×D11—44no—
285C22×D11—44no—
286C22×D11—82no—
287C22×D11—88no—
288C22×D11—816no—
289Q8×C11—42no—
290Q8×C11—42no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—42no—
295D4×C11—42no—
296D4×C11—42no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—24no—
302C2×C4×C11—22no—
303C2×C4×C11—24no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11H(5,𝔽2)14yes—
316C2×C4×C11C2511yescharacteristic
317C22⋊D11—44no—
318C22⋊D11—44no—
319C22⋊D11—84no—
320C22⋊D11—84no—
321C22⋊D11—84no—
322C22⋊D11—84no—
323C22⋊D11—88no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—22no—
327C2×Dic11—42no—
328C2×Dic11—44no—
329C2×Dic11—82no—
330D44—28no—
331D44—24no—
332D44—48no—
333D44—42no—
334D44—44no—
335C4×D11—44no—
336C4×D11—44no—
337Dic22—24no—
338Dic22—42no—
339C8×C11—28no—
340C22×#41—111no—
341C22×#41C2×D1111yescharacteristic
342C23×D4—111no—
343C2×AGL(1,ℤ/8)—114no—
344C22×M16C2×D1112yescomplemented
345#537—114no—
346#536—112no—
347#536—221no—
348#535—114no—
349#535—114no—
350#535—112no—
351#535—222no—
352#535—222no—
353#535—221no—
354#534—221no—
355#534—221no—
356#532—222no—
357C2×#127—221no—
358C2×#124—221no—
359#525—112no—
360#525—112no—
361#525—222no—
362C2×#121—112no—
363C2×#121—112no—
364C2×#120—221no—
365C2×#120—221no—
366C2×#117—111no—
367C2×#117—111no—
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#408C2×D1114yescomplemented
386#408C2×D1114yescomplemented
387#407C2×D1112yescomplemented
388#407C2×D1112yescomplemented
389C22×C11—22no—
390C22×C11—24no—
391C22×C11—22no—
392C22×C11—22no—
393C22×C11—24no—
394C22×C11—22no—
395C22×C11—21no—
396C22×C11—22no—
397C22×C11—21no—
398C22×C11—44no—
399C22×C11—82no—
400C22×C11—82no—
401C22×C11#53412yes—
402C22×C11C23×D411yescharacteristic
403C2×D11—44no—
404C2×D11—44no—
405C2×D11—44no—
406C2×D11—44no—
407C2×D11—42no—
408C2×D11—88no—
409C2×D11—84no—
410C2×D11—816no—
411C4×C11—22no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—22no—
415C4×C11#53412yes—
416C4×C11C2×H(5,𝔽2)12yes—
417Dic11—44no—
418Dic11—44no—
419Dic11—42no—
420C25—221no—
421C2×#41—44no—
422C2×#41—112no—
423C2×#41—112no—
424C2×#41—221no—
425C2×#41—221no—
426C2×#41—444no—
427C2×#41D4412yes—
428C2×#41D4412yes—
429C2×#41C22×D1112yes—
430C2×#41C22×D1112yes—
431C22×Q8—111no—
432C22×Q8D4411yescharacteristic
433C22×D4—112no—
434C22×D4—114no—
435C22×D4—111no—
436C22×D4—221no—
437C22×D4—222no—
438C22×D4—222no—
439C22×D4—221no—
440C22×D4—222no—
441C22×D4—444no—
442C22×D4D4411yescharacteristic
443C22×D4D4411yescharacteristic
444C22×D4D4411yescharacteristic
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—44no—
453C2×M16C22×D1114yes—
454C2×M16C22×D1114yescomplemented
455C22×C8C22×D1114yescomplemented
456C4⋊Q8—222no—
457#127—224no—
458#127—224no—
459#127—222no—
460#124—224no—
461#124—224no—
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—114no—
472#121—114no—
473#121—118no—
474#121—114no—
475#121—114no—
476#121—224no—
477#121—224no—
478#121—224no—
479#121—222no—
480#121—222no—
481#121—224no—
482#120—222no—
483#120—222no—
484#120—224no—
485#120—224no—
486#120—224no—
487#120—224no—
488#120—222no—
489#120—222no—
490C4×D4—224no—
491C4×D4—224no—
492#117—112no—
493#117—114no—
494#117—112no—
495#117—221no—
496#117—222no—
497#117—221no—
498C2×C4⋊C4—112no—
499C2×C4⋊C4—112no—
500C2×C22⋊C4—221no—
501C2×C22⋊C4—221no—
502C2×C22⋊C4—222no—
503C2×C22⋊C4—222no—
504C2×C42—221no—
505C2×C42—221no—
506#107—118no—
507#106—118no—
508#103—118no—
509#102—118no—
510#102—118no—
511#102—118no—
512C22⋊C8C22×D1118yes—
513C22⋊C8C22×D1114yescomplemented
514C22⋊C8C22×D1114yescomplemented
515C2×C11—22no—
516C2×C11—42no—
517C2×C11—41no—
518C2×C11—41no—
519C2×C11—42no—
520C2×C11C2×#53411yescharacteristic
521C2×C11#358512yes—
522D11—82no—
523D11—84no—
524C24—222no—
525C24—221no—
526C24—224no—
527C24—444no—
528C24—884no—
529C24C2×D4411yescharacteristic
530C24C2×D4411yescharacteristic
531C24C2×D4411yescharacteristic
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×D4412yes—
547C2×Q8C2×D4412yes—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4—42no—
551C2×D4—112no—
552C2×D4—114no—
553C2×D4—222no—
554C2×D4—222no—
555C2×D4—224no—
556C2×D4—224no—
557C2×D4—224no—
558C2×D4—228no—
559C2×D4—224no—
560C2×D4—222no—
561C2×D4—224no—
562C2×D4—221no—
563C2×D4—228no—
564C2×D4—444no—
565C2×D4—444no—
566C2×D4—442no—
567C2×D4—444no—
568C2×D4—448no—
569C2×D4—444no—
570C2×D4—884no—
571C2×D4—884no—
572C2×D4C2×D4412yes—
573C2×D4C2×D4412yes—
574C2×D4C2×D4412yes—
575C2×D4C2×D4412yes—
576C2×D4C2×D4412yes—
577C2×D4C2×D4412yes—
578C22×C4—24no—
579C22×C4—24no—
580C22×C4—24no—
581C22×C4—222no—
582C22×C4—221no—
583C22×C4—222no—
584C22×C4—222no—
585C22×C4—222no—
586C22×C4—444no—
587C22×C4C2×D4411yescharacteristic
588C22×C4C2×D4411yescharacteristic
589C22×C4C2×D4411yescharacteristic
590C22×C4C2×D4411yescharacteristic
591C22×C4C2×D4412yes—
592C22×C4C2×D4411yescharacteristic
593C22×C4C2×D4412yes—
594C22×C4C23×D1112yes—
595C22×C4C23×D1111yescharacteristic
596C22×C4C23×D1111yescharacteristic
597C22×C4C23×D1112yes—
598C22×C4C23×D1111yescharacteristic
599SD16—448no—
600D8—448no—
601M16—28no—
602M16—44no—
603C2×C8—44no—
604C2×C8C23×D1118yes—
605C4⋊C4—114no—
606C4⋊C4—114no—
607C4⋊C4—222no—
608C4⋊C4—222no—
609C4⋊C4—224no—
610C4⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—222no—
613C22⋊C4—222no—
614C22⋊C4—224no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C22⋊C4—228no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C42—222no—
622C42—224no—
623C42—222no—
624C11#6075311yescharacteristic, complemented, Sylow
625C23—22no—
626C23—22no—
627C23—22no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—222no—
632C23—224no—
633C23—442no—
634C23—448no—
635C23—444no—
636C23—444no—
637C23—444no—
638C23—882no—
639C23—888no—
640C23—8816no—
641C23C22×D4412yes—
642C23C22×D4411yescharacteristic
643C23C22×D4412yes—
644C23C22×D4411yescharacteristic
645C23C22×D4411yescharacteristic
646Q8—42no—
647Q8—42no—
648Q8—224no—
649Q8—442no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—224no—
657D4—228no—
658D4—448no—
659D4—442no—
660D4—444no—
661D4—444no—
662D4—444no—
663D4—884no—
664D4—888no—
665D4—884no—
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—224no—
682C2×C4—224no—
683C2×C4—222no—
684C2×C4—444no—
685C2×C4—442no—
686C2×C4—444no—
687C2×C4—444no—
688C2×C4—882no—
689C2×C4C22×D4411yescharacteristic
690C2×C4C22×D4412yes—
691C2×C4C22×D4412yes—
692C2×C4C22×D4411yescharacteristic
693C2×C4C22×D4411yescharacteristic
694C2×C4#6703714yes—
695C2×C4C24×D1111yescharacteristic
696C8—28no—
697C22—22no—
698C22—22no—
699C22—24no—
700C22—22no—
701C22—24no—
702C22—21no—
703C22—21no—
704C22—22no—
705C22—22no—
706C22—44no—
707C22—82no—
708C22—82no—
709C22—444no—
710C22—444no—
711C22—444no—
712C22—442no—
713C22—444no—
714C22—888no—
715C22—8816no—
716C22—884no—
717C22#1062302412yes—
718C22C23×D4411yescharacteristic
719C4—21no—
720C4—22no—
721C4—21no—
722C4—22no—
723C4—444no—
724C4—444no—
725C4—442no—
726C4#1062302412yes—
727C4C2×#6703712yes—
728C2—22no—
729C2—42no—
730C2—41no—
731C2—41no—
732C2—42no—
733C2—884no—
734C2—882no—
735C2C2×#1062302411yescharacteristic
736C2#1308339712yes—
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2879C2
socleC22×C11C23×D4
hypercenter#2879D11
hypocenterC11#60753
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C22×#41 ◁ #2879

Complements

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

NH ≅ G/Ntype
1. #13081945C2semidirect
2. C2×#10623361C2semidirect
3. #13079489C2semidirect
4. #13079481C2semidirect
5. #13079470C2semidirect
6. #13078557C2semidirect
7. #13078549C2semidirect
8. #13078235C2semidirect
9. #13077870C2semidirect
10. #13077846C2semidirect
11. C11×#2879C2semidirect
13. C22×#4339C22semidirect
14. C23×D44C22semidirect
15. C22×C11×M16C22semidirect
16. #10623364C22semidirect
21. #10623361C22semidirect
22. #10623361C22semidirect
24. #10623356C22semidirect
34. #10623322C22semidirect
36. C2×#66983C22semidirect
37. C2×#66979C22semidirect
38. C2×#66979C22semidirect
40. C11×#408C22semidirect
41. C11×#408C22semidirect
42. C11×#407C22semidirect
43. C11×#407C22semidirect
44. #10622748C22semidirect
45. #10622747C22semidirect
46. #10622746C22semidirect
47. #10622744C22semidirect
48. #10622734C22semidirect
49. #10622728C22semidirect
50. #10622727C22semidirect
51. #10622351C22semidirect
52. #10622350C22semidirect
53. #10622350C22semidirect
54. #10622349C22semidirect
55. #10622348C22semidirect
56. #10622347C22semidirect
57. #10622345C22semidirect
58. #10622345C22semidirect
59. #10622344C22semidirect
60. #10622336C22semidirect
81. C2×#4339C23semidirect
87. C22×D44C23semidirect
89. C22×Dic22C23semidirect
92. C2×C11×M16C23semidirect
93. C22×C8×C11C23semidirect
125. #66983C23semidirect
137. #66979C23semidirect
139. C2×C4⋊Dic11C23semidirect
141. #66977C23semidirect
148. C11×C22⋊C8C23semidirect
149. C11×C22⋊C8C23semidirect
152. #66885C23semidirect
153. #66882C23semidirect
154. #66881C23semidirect
155. #66880C23semidirect
267. #2879D11semidirect
344. C22×M16C2×D11semidirect
385. #408C2×D11semidirect
386. #408C2×D11semidirect
387. #407C2×D11semidirect
388. #407C2×D11semidirect
454. C2×M16C22×D11semidirect
455. C22×C8C22×D11semidirect
513. C22⋊C8C22×D11semidirect
514. C22⋊C8C22×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
C2×#106233612
#130794892
#130794812
#130794702
#130785572
#130785492
#130782352
#130778702
#130778462
C11×#28792
#6075311