Finite Group Databasebeta

← #15638814

Subgroups — #15638814

Order 2816.

2570 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082470C211yesmaximal, characteristic, complemented
2C2×#10623248C211yesmaximal, characteristic, complemented
3#13080857C214yesmaximal, complemented
4#13080850C214yesmaximal, complemented
5#13080231C214yesmaximal, complemented
6#13080215C214yesmaximal, complemented
7#13079534C211yesmaximal, characteristic, complemented
8#13079433C214yesmaximal, complemented
9#13078620C211yesmaximal, characteristic, complemented
10#13078617C211yesmaximal, characteristic, complemented
11#13077844C214yesmaximal, complemented
12#13077656C211yesmaximal, characteristic, complemented
13C11×#3208C211yesmaximal, characteristic, complemented
14C22×D4×D11—21no—
15C22×D4×D11C2212yes—
16C11×#533C2211yescharacteristic, complemented
17C2×C11×#127C2211yescharacteristic
18C2×#66991—21no—
19C2×#66991C2212yes—
20C2×#66990—22no—
21C2×#66967C2218yescomplemented
22#10623265C2212yescomplemented
23#10623257C2212yescomplemented
24#10623248—22no—
25#10623248—22no—
26#10623248C2214yes—
27#10623248C2214yes—
28#10623226—22no—
29#10623175—22no—
30#10623158C2214yescomplemented
31#10623116—22no—
32#10623115C2212yescomplemented
33#10623108C2212yescomplemented
34#10623056—21no—
35#10623054—21no—
36#10623008C2211yescharacteristic, complemented
37C2×C4×D44C2211yescharacteristic
38C2×C4×D44C2211yescharacteristic
39C11×#492C2212yescomplemented
40C11×#486C2212yescomplemented
41C11×#460C2214yescomplemented
42C11×#450C2214yescomplemented
43C11×#431C2211yescharacteristic, complemented
44#10622830C2214yescomplemented
45#10622787C2218yescomplemented
46#10622785C2218yescomplemented
47#10622782C2218yescomplemented
48#10622697C2212yescomplemented
49#10622696C2212yescomplemented
50#10622686C2212yescomplemented
51#10622685C2214yescomplemented
52#10622683C2212yescomplemented
53#10622659C2212yes—
54#10622656C2212yescomplemented
55C4×#4325C2214yescomplemented
56#10622538C2211yescharacteristic, complemented
57#10622459C2212yescomplemented
58#10622456C2212yescomplemented
59#10622451C2214yescomplemented
60#10622397C2218yescomplemented
61#10622395C2218yescomplemented
62#10622386C2218yescomplemented
63#10622383C2218yescomplemented
64#10622349C2212yescomplemented
65#10622345C2212yes—
66#10622339C2214yescomplemented
67C4×D88C2214yescomplemented
68#10622301C2214yescomplemented
69C24×D11—22no—
70C22×D4×C11—21no—
71C22×D4×C11—21no—
72C22×D4×C11C2312yes—
73C22×C22⋊D11—22no—
74C22×C22⋊D11—22no—
75C2×#4343C2314yescomplemented
76C2×D4×D11—24no—
77C2×D4×D11—24no—
78C2×D4×D11—24no—
79C2×D4×D11—48no—
80C2×D4×D11—48no—
81C2×D4×D11C2318yes—
82C2×#4339—21no—
83C22×D44D411yescharacteristic
84C22×D44C2311yescharacteristic
85C22×C4×D11—21no—
86C22×C4×D11C2312yes—
87C2×C11×SD16C2318yescomplemented
88C11×C4⋊Q8C2311yescharacteristic, complemented
89C11×C4⋊Q8C2311yescharacteristic, complemented
90C11×#127—21no—
91C11×#127—21no—
92C11×#127C2312yes—
93C11×#127C2312yes—
94C11×#125—21no—
95C11×C22⋊Q8—21no—
96C11×C22⋊Q8C2312yes—
97C4×Q8×C11—21no—
98C4×Q8×C11C2312yescomplemented
99C11×#117—21no—
100C2×C42×C11C2311yescharacteristic
101C2×C22⋊Dic11—22no—
102#67000—24no—
103#66999C2314yescomplemented
104C2×#4325C2314yes—
105#66991—24no—
106#66991—24no—
107#66991—24no—
108#66991C2318yes—
109#66990—28no—
110#66990—28no—
111C2×#4323C2318yescomplemented
112#66983—21no—
113#66983C2312yes—
114C2×(C2×D11)⋊C4—21no—
115C2×(C2×D11)⋊C4D412yes—
116C2×C4⋊Dic11D411yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118#66967—416no—
119C2×D88C2314yes—
120C2×#4313C2318yescomplemented
121#66951—24no—
122#66948—22no—
123#66948—22no—
124#66948—24no—
125#66948C2314yescomplemented
126#66947—24no—
127#66947—24no—
128#66946—24no—
129#66945—22no—
130#66945C2314yescomplemented
131C4⋊C4×D11—22no—
132#66935—24no—
133(C22⋊D11)⋊C4—24no—
134#66928—22no—
135#66928—21no—
136#66927—22no—
137#66927C2311yescharacteristic, complemented
138C4×D44—21no—
139C4×D44—21no—
140C4×D44—21no—
141C4×D44—22no—
142C4×D44D412yes—
143C4×D44D412yes—
144C4×D44C2312yes—
145C4×D44C2312yes—
146C4×D44C2312yes—
147C4×D44C2312yes—
148C4×D44C2312yescomplemented
149#66922C2311yescharacteristic, complemented
150C4×Dic22—22no—
151C11×C4⋊C8C2312yescomplemented
152C11×#102C2318yescomplemented
153C11×C22⋊C8C2312yes—
154C4×C8×C11C2312yescomplemented
155#66899C2314yescomplemented
156#66896C2318yescomplemented
157C22⋊(C11⋊C8)C2312yes—
158#66885C2314yes—
159#66885C2314yescomplemented
160(C2×D11)⋊C8C2318yescomplemented
161#66882C2314yescomplemented
162#66873C2314yes—
163#66872C2314yescomplemented
164C4⋊(C11⋊C8)C2312yescomplemented
165C4×C11⋊C8C2312yescomplemented
166#61582—111nomaximal, Sylow
167C24×C11—22no—
168C23×D11—21no—
169C23×D11—28no—
170C23×D11—48no—
171C23×D11—48no—
172C23×D11—84no—
173C23×D11C2×D412yes—
174C2×Q8×C11—21no—
175C2×Q8×C11C2412yes—
176C2×D4×C11—22no—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—22no—
181C2×D4×C11—44no—
182C2×D4×C11—44no—
183C2×D4×C11—82no—
184C2×D4×C11C2414yes—
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C2×C22⋊D11—28no—
189C2×C22⋊D11—22no—
190C2×C22⋊D11—28no—
191C2×C22⋊D11—48no—
192C2×C22⋊D11—48no—
193C22×Dic11—21no—
194C22×Dic11C2×D412yes—
195#4343—48no—
196D4×D11—216no—
197D4×D11—48no—
198D4×D11—416no—
199D4×D11—416no—
200D4×D11—416no—
201#4339—44no—
202C2×D44—24no—
203C2×D44—24no—
204C2×D44—24no—
205C2×D44—24no—
206C2×D44—21no—
207C2×D44—21no—
208C2×D44—21no—
209C2×D44C2×D412yes—
210C2×D44C2×D412yes—
211C2×D44C2412yes—
212C2×D44C2412yes—
213C2×C4×D11—24no—
214C2×C4×D11—22no—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11—44no—
218C2×C4×D11—44no—
219C2×C4×D11C2×D414yes—
220C2×C4×D11C2414yes—
221C2×Dic22—21no—
222C11×SD16—48no—
223C2×C8×C11C2414yes—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—22no—
229C11×C4⋊C4C2412yes—
230C11×C22⋊C4—22no—
231C42×C11—22no—
232C42×C11C2×D411yescharacteristic
233C42×C11C2×D411yescharacteristic
234C42×C11C2411yescharacteristic
235C42×C11C2411yescharacteristic
236C22⋊Dic11—28no—
237#4325—28no—
238#4323—48no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—22no—
243(C2×D11)⋊C4—22no—
244(C2×D11)⋊C4—22no—
245(C2×D11)⋊C4—22no—
246(C2×D11)⋊C4C2×D414yes—
247(C2×D11)⋊C4C2×D414yes—
248C4⋊Dic11—21no—
249C4⋊Dic11—21no—
250C4⋊Dic11C2×D412yes—
251C4⋊Dic11C2×D412yes—
252C4⋊Dic11C2412yes—
253C4⋊Dic11C2412yes—
254Dic11⋊C4—24no—
255C4×Dic11—24no—
256C2×C11⋊C8C2414yes—
257D88—28no—
258#4313—48no—
259#3506—111no—
260C2×D42—111no—
261#3325—114no—
262#3324—114no—
263#3274—114no—
264#3272—114no—
265#3208D1111yescharacteristic, complemented
266#3205—111no—
267#3194—114no—
268#3101—111no—
269#3100—111no—
270#3003—114no—
271#2975—111no—
272C23×C11—24no—
273C23×C11—44no—
274C23×C11—44no—
275C23×C11—44no—
276C23×C11C22×D411yescharacteristic
277C22×D11—24no—
278C22×D11—24no—
279C22×D11—22no—
280C22×D11—22no—
281C22×D11—42no—
282C22×D11—42no—
283C22×D11—416no—
284C22×D11—416no—
285C22×D11—42no—
286C22×D11—42no—
287C22×D11—88no—
288C22×D11—832no—
289C22×D11C22×D414yes—
290Q8×C11—24no—
291Q8×C11—81no—
292D4×C11—28no—
293D4×C11—44no—
294D4×C11—44no—
295D4×C11—44no—
296D4×C11—82no—
297D4×C11—82no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—41no—
302C2×C4×C11AGL(1,ℤ/8)14yescomplemented
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2511yescharacteristic
309C22⋊D11—416no—
310C22⋊D11—416no—
311C22⋊D11—44no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11C22×D414yes—
317D44—24no—
318D44—24no—
319D44—24no—
320D44—22no—
321D44—24no—
322D44—42no—
323D44—81no—
324D44—84no—
325D44—84no—
326D44H(5,𝔽2)14yes—
327C4×D11—28no—
328C4×D11—44no—
329C4×D11—44no—
330C4×D11—44no—
331C4×D11—44no—
332C4×D11—84no—
333Dic22—42no—
334C8×C11—24no—
335C11⋊C8—24no—
336C23×D4—112no—
337C23×D4—221no—
338C2×AGL(1,ℤ/8)—118no—
339#559—222no—
340#556—112no—
341#555—112no—
342#553—222no—
343#550—112no—
344#547—112no—
345D42—114no—
346D42—114no—
347D42—222no—
348D42—222no—
349#538—222no—
350#535—221no—
351#533C2×D1111yescharacteristic, complemented
352#532—111no—
353C2×#127C2×D1111yescharacteristic
354#525—114no—
355C2×#121—112no—
356C2×#121—221no—
357C2×#120—222no—
358#520—221no—
359C2×C4×D4—111no—
360C2×C4×D4—111no—
361#493—112no—
362#492C2×D1112yescomplemented
363#486—112no—
364#486C2×D1112yescomplemented
365#483—112no—
366#482—118no—
367#480—112no—
368#476—112no—
369#474—112no—
370#469—118no—
371#468—118no—
372#461—112no—
373#460C2×D1114yescomplemented
374#459—114no—
375#459—112no—
376#450—118no—
377#450—112no—
378#450C2×D1114yescomplemented
379#449—118no—
380#447—114no—
381#447—118no—
382#447—112no—
383C4×SD16—114no—
384C4×D8—114no—
385#436—114no—
386#436—114no—
387#431—111no—
388#431C2×D1111yescharacteristic, complemented
389#418—118no—
390#407—114no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—44no—
394C22×C11—44no—
395C22×C11—44no—
396C22×C11—88no—
397C22×C11C2×AGL(1,ℤ/8)12yes—
398C22×C11C23×D411yescharacteristic
399C2×D11—24no—
400C2×D11—24no—
401C2×D11—24no—
402C2×D11—24no—
403C2×D11—48no—
404C2×D11—48no—
405C2×D11—42no—
406C2×D11—42no—
407C2×D11—42no—
408C2×D11—42no—
409C2×D11—42no—
410C2×D11—832no—
411C4×C11—21no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11C2×AGL(1,ℤ/8)12yes—
417C4×C11C2×AGL(1,ℤ/8)12yes—
418C4×C11C2×H(5,𝔽2)12yes—
419Dic11—24no—
420Dic11—42no—
421Dic11—42no—
422C25—222no—
423C2×#41—114no—
424C2×#41—221no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—118no—
428C22×D4—111no—
429C22×D4—111no—
430C22×D4—224no—
431C22×D4—222no—
432C22×D4—224no—
433C22×D4—224no—
434C22×D4—222no—
435C22×D4—448no—
436C22×D4—448no—
437C22×D4C22×D1112yes—
438C23×C4—112no—
439C23×C4—221no—
440AGL(1,ℤ/8)—4416no—
441C2×SD16—114no—
442C2×SD16C22×D1118yescomplemented
443C2×D8—118no—
444C2×D8—114no—
445C2×M16—118no—
446C4⋊Q8—111no—
447C4⋊Q8C22×D1111yescharacteristic, complemented
448C4⋊Q8C22×D1111yescharacteristic, complemented
449#127—21no—
450#127—21no—
451#127—111no—
452#127—222no—
453#127C22×D1112yes—
454#127C22×D1112yes—
455#126—224no—
456#125—21no—
457#124—222no—
458#124—224no—
459#124—221no—
460#123—224no—
461#123—224no—
462C22⋊Q8—21no—
463C22⋊Q8—114no—
464C22⋊Q8C22×D1112yes—
465#121—118no—
466#121—112no—
467#121—114no—
468#121—224no—
469#121—222no—
470#121—222no—
471#121—224no—
472#121—224no—
473#121—224no—
474#121—221no—
475#120—224no—
476#120—228no—
477#120—228no—
478C4×Q8—21no—
479C4×Q8—222no—
480C4×Q8C22×D1112yescomplemented
481C4×D4—112no—
482C4×D4—112no—
483C4×D4—112no—
484C4×D4—112no—
485C4×D4—112no—
486C4×D4—112no—
487C4×D4—112no—
488C4×D4—222no—
489C4×D4—224no—
490C4×D4—224no—
491C4×D4—221no—
492C4×D4—221no—
493C4×D4—221no—
494#117—21no—
495#117—114no—
496#117—222no—
497C2×C4⋊C4—111no—
498C2×C4⋊C4—111no—
499C2×C4⋊C4—222no—
500C2×C22⋊C4—112no—
501C2×C22⋊C4—222no—
502C2×C22⋊C4—221no—
503C2×C42C22×D1111yescharacteristic
504#107—114no—
505#106—114no—
506C4⋊C8—112no—
507C4⋊C8C22×D1112yescomplemented
508#103—114no—
509#102—118no—
510#102—114no—
511#102—114no—
512#102—114no—
513#102C22×D1118yescomplemented
514C22⋊C8—112no—
515C22⋊C8—118no—
516C22⋊C8C22×D1112yes—
517C4×C8—112no—
518C4×C8C22×D1112yescomplemented
519C2×C11—22no—
520C2×C11—84no—
521C2×C11#348411yescharacteristic
522C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
523C2×C11#358511yescharacteristic
524D11—44no—
525D11—44no—
526D11—82no—
527C24—22no—
528C24—112no—
529C24—228no—
530C24—221no—
531C24—448no—
532C24—448no—
533C24—884no—
534#41—448no—
535#41—444no—
536C2×Q8—21no—
537C2×Q8—221no—
538C2×Q8C23×D1112yes—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—44no—
545C2×D4—44no—
546C2×D4—82no—
547C2×D4—112no—
548C2×D4—112no—
549C2×D4—112no—
550C2×D4—112no—
551C2×D4—224no—
552C2×D4—224no—
553C2×D4—224no—
554C2×D4—228no—
555C2×D4—2216no—
556C2×D4—228no—
557C2×D4—222no—
558C2×D4—224no—
559C2×D4—221no—
560C2×D4—221no—
561C2×D4—221no—
562C2×D4—448no—
563C2×D4—4416no—
564C2×D4—4416no—
565C2×D4—4416no—
566C2×D4—448no—
567C2×D4—448no—
568C2×D4C23×D1114yes—
569C22×C4—112no—
570C22×C4—114no—
571C22×C4—114no—
572C22×C4—224no—
573C22×C4—221no—
574C22×C4—222no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—444no—
578C22×C4—444no—
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1111yescharacteristic
582SD16—48no—
583SD16—228no—
584D8—228no—
585D8—448no—
586M16—448no—
587C2×C8—114no—
588C2×C8C23×D1114yes—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—22no—
594C4⋊C4—112no—
595C4⋊C4—112no—
596C4⋊C4—112no—
597C4⋊C4—112no—
598C4⋊C4—224no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C4⋊C4C23×D1112yes—
602C22⋊C4—22no—
603C22⋊C4—114no—
604C22⋊C4—114no—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—228no—
609C22⋊C4—222no—
610C22⋊C4—222no—
611C22⋊C4—222no—
612C22⋊C4—222no—
613C42—22no—
614C42—224no—
615C42D4×D1111yescharacteristic
616C42D4×D1111yescharacteristic
617C42C23×D1111yescharacteristic
618C42C23×D1111yescharacteristic
619C11#6158211yescharacteristic, complemented, Sylow
620C23—24no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—114no—
625C23—224no—
626C23—224no—
627C23—222no—
628C23—222no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—4416no—
633C23—4416no—
634C23—442no—
635C23—888no—
636C23—8832no—
637C23C2×D4×D1111yescharacteristic
638Q8—24no—
639Q8—81no—
640Q8—442no—
641D4—28no—
642D4—44no—
643D4—44no—
644D4—44no—
645D4—82no—
646D4—82no—
647D4—114no—
648D4—224no—
649D4—224no—
650D4—224no—
651D4—222no—
652D4—224no—
653D4—4416no—
654D4—4416no—
655D4—444no—
656D4—442no—
657D4—881no—
658D4—884no—
659D4—884no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—41no—
664C2×C4—114no—
665C2×C4—228no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—444no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—444no—
672C2×C4—444no—
673C2×C4—444no—
674C2×C4—884no—
675C2×C4#6696714yescomplemented
676C2×C4C2×D4×D1111yescharacteristic
677C2×C4C2×D4×D1111yescharacteristic
678C2×C4C2×D4×D1111yescharacteristic
679C2×C4C2×D4×D1111yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C24×D1111yescharacteristic
682C8—24no—
683C8—224no—
684C22—21no—
685C22—21no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—88no—
690C22—224no—
691C22—224no—
692C22—224no—
693C22—224no—
694C22—448no—
695C22—448no—
696C22—442no—
697C22—442no—
698C22—442no—
699C22—442no—
700C22—442no—
701C22—8832no—
702C22C2×#6696712yes—
703C22C22×D4×D1111yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—42no—
708C4—42no—
709C4—224no—
710C4—442no—
711C4—442no—
712C4C2×#6696712yes—
713C4C2×#6696712yes—
714C4D11×H(5,𝔽2)12yes—
715C2—22no—
716C2—84no—
717C2—444no—
718C2—444no—
719C2—882no—
720C2#1308225011yescharacteristic
721C2C22×#6696711yescharacteristic
722C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3208C2
socleC22×C11C23×D4
hypercenter#3208D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3208

Complements

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

NH ≅ G/Ntype
1. #13082470C2semidirect
2. C2×#10623248C2semidirect
3. #13080857C2semidirect
4. #13080850C2semidirect
5. #13080231C2semidirect
6. #13080215C2semidirect
7. #13079534C2semidirect
8. #13079433C2semidirect
9. #13078620C2semidirect
10. #13078617C2semidirect
11. #13077844C2semidirect
12. #13077656C2semidirect
13. C11×#3208C2semidirect
16. C11×#533C22semidirect
21. C2×#66967C22semidirect
22. #10623265C22semidirect
23. #10623257C22semidirect
30. #10623158C22semidirect
32. #10623115C22semidirect
33. #10623108C22semidirect
36. #10623008C22semidirect
39. C11×#492C22semidirect
40. C11×#486C22semidirect
41. C11×#460C22semidirect
42. C11×#450C22semidirect
43. C11×#431C22semidirect
44. #10622830C22semidirect
45. #10622787C22semidirect
46. #10622785C22semidirect
47. #10622782C22semidirect
48. #10622697C22semidirect
49. #10622696C22semidirect
50. #10622686C22semidirect
51. #10622685C22semidirect
52. #10622683C22semidirect
54. #10622656C22semidirect
55. C4×#4325C22semidirect
56. #10622538C22semidirect
57. #10622459C22semidirect
58. #10622456C22semidirect
59. #10622451C22semidirect
60. #10622397C22semidirect
61. #10622395C22semidirect
62. #10622386C22semidirect
63. #10622383C22semidirect
64. #10622349C22semidirect
66. #10622339C22semidirect
67. C4×D88C22semidirect
68. #10622301C22semidirect
75. C2×#4343C23semidirect
87. C2×C11×SD16C23semidirect
88. C11×C4⋊Q8C23semidirect
89. C11×C4⋊Q8C23semidirect
98. C4×Q8×C11C23semidirect
103. #66999C23semidirect
111. C2×#4323C23semidirect
120. C2×#4313C23semidirect
125. #66948C23semidirect
130. #66945C23semidirect
137. #66927C23semidirect
148. C4×D44C23semidirect
149. #66922C23semidirect
151. C11×C4⋊C8C23semidirect
152. C11×#102C23semidirect
154. C4×C8×C11C23semidirect
155. #66899C23semidirect
156. #66896C23semidirect
159. #66885C23semidirect
160. (C2×D11)⋊C8C23semidirect
161. #66882C23semidirect
163. #66872C23semidirect
164. C4⋊(C11⋊C8)C23semidirect
165. C4×C11⋊C8C23semidirect
265. #3208D11semidirect
302. C2×C4×C11AGL(1,ℤ/8)semidirect
351. #533C2×D11semidirect
362. #492C2×D11semidirect
364. #486C2×D11semidirect
373. #460C2×D11semidirect
378. #450C2×D11semidirect
388. #431C2×D11semidirect
442. C2×SD16C22×D11semidirect
447. C4⋊Q8C22×D11semidirect
448. C4⋊Q8C22×D11semidirect
480. C4×Q8C22×D11semidirect
507. C4⋊C8C22×D11semidirect
513. #102C22×D11semidirect
518. C4×C8C22×D11semidirect
619. C11#61582semidirect
675. C2×C4#66967semidirect

Maximal subgroups

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

subgroupindex
#130824702
C2×#106232482
#130808572
#130808502
#130802312
#130802152
#130795342
#130794332
#130786202
#130786172
#130778442
#130776562
C11×#32082
#6158211