Finite Group Databasebeta

← #15638808

Subgroups — #15638808

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#13082465C211yesmaximal, characteristic, complemented
2C2×D4×D44C211yesmaximal, characteristic, complemented
3#13080860C214yesmaximal, complemented
4#13080844C214yesmaximal, complemented
5#13080239C214yesmaximal, complemented
6#13080217C214yesmaximal, complemented
7#13079559C211yesmaximal, characteristic, complemented
8#13079531C211yesmaximal, characteristic, complemented
9#13079429C214yesmaximal, complemented
10#13078624C211yesmaximal, characteristic, complemented
11#13077840C214yesmaximal, complemented
12#13077656C211yesmaximal, characteristic, complemented
13C11×#3100C211yesmaximal, characteristic, complemented
14C22×D4×D11C2212yes—
15C23×D44—21no—
16C11×#532C2211yescharacteristic, complemented
17C2×C4×D4×C11C2211yescharacteristic
18#10623361—21no—
19#10623358—21no—
20C2×#66983—21no—
21C2×#66964C2218yescomplemented
22#10623263C2212yescomplemented
23#10623249C2212yescomplemented
24#10623212—22no—
25#10623148—22no—
26#10623137C2214yescomplemented
27#10623096—22no—
28#10623094C2212yescomplemented
29#10623086C2212yescomplemented
30D4×D44—22no—
31D4×D44—22no—
32D4×D44C2214yes—
33D4×D44C2214yes—
34C2×#66948C2212yes—
35C2×#66935—22no—
36C2×#66927C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38#10623001C2211yescharacteristic, complemented
39C11×#480C2212yescomplemented
40C11×#474C2212yescomplemented
41C11×#459C2212yescomplemented
42C11×#447C2212yes—
43C4×C11×D8C2214yescomplemented
44C11×#431C2211yescharacteristic, complemented
45#10622831C2212yes—
46#10622769C2218yescomplemented
47#10622701C2212yescomplemented
48#10622686C2212yescomplemented
49#10622649C2214yescomplemented
50#10622632C2212yescomplemented
51C4×#4324C2214yescomplemented
52#10622628C2214yescomplemented
53#10622621C2212yescomplemented
54#10622584C2212yescomplemented
55#10622538C2211yescharacteristic, complemented
56#10622499C2218yescomplemented
57#10622498C2218yescomplemented
58#10622461C2214yescomplemented
59#10622451C2214yescomplemented
60#10622395C2218yescomplemented
61#10622394C2218yescomplemented
62#10622389C2218yescomplemented
63#10622383C2218yescomplemented
64#10622344C2214yescomplemented
65#10622339C2214yescomplemented
66#10622307C2212yescomplemented
67#10622306C2212yescomplemented
68#10622301C2214yescomplemented
69C24×D11—22no—
70C2×C11×#41—21no—
71C22×D4×C11C2311yescharacteristic
72C23×C4×C11—21no—
73C22×C22⋊D11—22no—
74C2×#4341C2314yescomplemented
75C2×D4×D11—24no—
76C2×D4×D11—48no—
77C2×D4×D11C2318yes—
78C22×D44—22no—
79C22×D44—21no—
80C22×D44—21no—
81C22×D44—24no—
82C22×D44—24no—
83C22×D44—48no—
84C22×D44D411yescharacteristic
85C22×D44C2312yes—
86C22×C4×D11C2312yes—
87C2×C11×D8C2314yes—
88C11×C4⋊Q8C2311yescharacteristic, complemented
89C11×#127C2311yescharacteristic, complemented
90C11×#124—21no—
91C11×#121—21no—
92C11×#121C2312yes—
93C4×D4×C11—21no—
94C4×D4×C11—21no—
95C4×D4×C11—21no—
96C4×D4×C11C2312yes—
97C4×D4×C11C2312yes—
98C4×D4×C11C2312yescomplemented
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C22⋊C4—21no—
101C2×C42×C11C2311yescharacteristic
102#67000—22no—
103Q8×Dic11—22no—
104#66993—22no—
105#66992—24no—
106#66991C2314yescomplemented
107#66990—24no—
108D4×Dic11—24no—
109D4×Dic11—22no—
110C2×#4324C2314yes—
111C2×#4323C2318yescomplemented
112#66983—22no—
113#66983—22no—
114#66983—24no—
115#66983—24no—
116C2×(C2×D11)⋊C4—22no—
117C2×(C2×D11)⋊C4D412yes—
118#66979—21no—
119#66979—22no—
120C2×C4⋊Dic11—22no—
121C2×C4⋊Dic11D411yescharacteristic
122#66977—21no—
123#66977C2312yes—
124#66964—416no—
125C2×#4314C2318yescomplemented
126C2×#4313C2318yescomplemented
127#66951—24no—
128#66950C2314yescomplemented
129#66948—24no—
130#66948C2318yes—
131#66945C2314yescomplemented
132#66939—24no—
133#66938—24no—
134#66936—24no—
135#66935—28no—
136#66935—28no—
137(C22⋊D11)⋊C4—24no—
138#66927—21no—
139#66927—21no—
140#66927C2312yes—
141#66927C2312yes—
142C4×D44D412yes—
143C4×D44D412yes—
144C4×D44C2312yes—
145C4×D44C2312yes—
146#66923—21no—
147#66922C2311yescharacteristic, complemented
148#66922C2311yescharacteristic, complemented
149C4×Dic22—21no—
150C4×Dic22C2312yescomplemented
151C11×#107C2314yescomplemented
152C11×C4⋊C8C2312yescomplemented
153C11×#102C2314yes—
154C11×#102C2314yescomplemented
155C11×C22⋊C8C2312yes—
156C4×C8×C11C2312yescomplemented
157#66896C2314yes—
158C22⋊(C11⋊C8)C2312yes—
159#66885C2318yescomplemented
160(C2×D11)⋊C8C2318yescomplemented
161#66874C2314yescomplemented
162#66873C2318yescomplemented
163#66872C2314yescomplemented
164C4⋊(C11⋊C8)C2312yescomplemented
165C4×C11⋊C8C2312yescomplemented
166#61582—111nomaximal, Sylow
167C24×C11—21no—
168C23×D11—22no—
169C23×D11—28no—
170C23×D11—48no—
171C23×D11—48no—
172C23×D11—84no—
173C23×D11C2×D412yes—
174C11×#41—44no—
175C2×Q8×C11—21no—
176C2×D4×C11—24no—
177C2×D4×C11—22no—
178C2×D4×C11—21no—
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11C2412yes—
182C2×D4×C11C2412yes—
183C22×C4×C11—21no—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—44no—
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C2×C22⋊D11—28no—
192C2×C22⋊D11—24no—
193C2×C22⋊D11—24no—
194C2×C22⋊D11—48no—
195C22×Dic11—24no—
196C22×Dic11C2×D412yes—
197#4341—48no—
198D4×D11—216no—
199D4×D11—48no—
200D4×D11—416no—
201C2×D44—28no—
202C2×D44—24no—
203C2×D44—22no—
204C2×D44—22no—
205C2×D44—22no—
206C2×D44—22no—
207C2×D44—22no—
208C2×D44—44no—
209C2×D44—48no—
210C2×D44—416no—
211C2×D44—416no—
212C2×D44—44no—
213C2×D44—82no—
214C2×D44C2×D412yes—
215C2×D44C2×D412yes—
216C2×D44C2414yes—
217C2×C4×D11—44no—
218C2×C4×D11C2×D414yes—
219C2×C4×D11C2414yes—
220C2×Dic22—21no—
221C2×Dic22C2412yes—
222C11×D8—28no—
223C2×C8×C11C2414yes—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4C2412yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C42×C11C2×D411yescharacteristic
233C42×C11C2×D411yescharacteristic
234C42×C11C2411yescharacteristic
235C42×C11C2411yescharacteristic
236C22⋊Dic11—24no—
237C22⋊Dic11—22no—
238#4324—28no—
239#4323—48no—
240(C2×D11)⋊C4—28no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4C2×D414yes—
244(C2×D11)⋊C4C2×D414yes—
245C4⋊Dic11—24no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11C2×D412yes—
250C4⋊Dic11C2×D412yes—
251C4⋊Dic11C2412yes—
252Dic11⋊C4—22no—
253Dic11⋊C4—22no—
254C4×Dic11—24no—
255C4×Dic11—22no—
256C2×C11⋊C8C2414yes—
257#4314—48no—
258#4313—48no—
259#3506—111no—
260C2×D42—111no—
261#3325—114no—
262#3324—114no—
263#3274—114no—
264#3272—114no—
265#3208—111no—
266#3205—111no—
267#3194—114no—
268#3101—111no—
269#3100D1111yescharacteristic, complemented
270#3003—114no—
271#2975—111no—
272C23×C11—24no—
273C23×C11—22no—
274C23×C11—22no—
275C23×C11—42no—
276C23×C11—42no—
277C23×C11C22×D411yescharacteristic
278C22×D11—24no—
279C22×D11—24no—
280C22×D11—42no—
281C22×D11—42no—
282C22×D11—416no—
283C22×D11—416no—
284C22×D11—44no—
285C22×D11—44no—
286C22×D11—44no—
287C22×D11—88no—
288C22×D11—832no—
289C22×D11C22×D414yes—
290Q8×C11—42no—
291D4×C11—24no—
292D4×C11—22no—
293D4×C11—24no—
294D4×C11—44no—
295D4×C11—42no—
296D4×C11—81no—
297D4×C11H(5,𝔽2)14yes—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—41no—
302C2×C4×C11—42no—
303C2×C4×C11—44no—
304C2×C4×C11—44no—
305C2×C4×C11—44no—
306C2×C4×C11AGL(1,ℤ/8)14yescomplemented
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C22×D411yescharacteristic
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C2511yescharacteristic
313C22⋊D11—416no—
314C22⋊D11—84no—
315C22⋊D11—84no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11—84no—
320C2×Dic11C22×D414yes—
321D44—24no—
322D44—24no—
323D44—28no—
324D44—44no—
325D44—416no—
326D44—44no—
327D44—44no—
328D44—82no—
329D44—82no—
330C4×D11—28no—
331C4×D11—44no—
332Dic22—24no—
333Dic22—81no—
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#533—111no—
352#532C2×D1111yescharacteristic, complemented
353C2×#127—111no—
354#525—114no—
355C2×#121—112no—
356C2×#121—221no—
357C2×#120—222no—
358#520—221no—
359C2×C4×D4—111no—
360C2×C4×D4C2×D1111yescharacteristic
361#493—112no—
362#492—112no—
363#486—112no—
364#486—112no—
365#483—112no—
366#482—118no—
367#480C2×D1112yescomplemented
368#476—112no—
369#474C2×D1112yescomplemented
370#469—118no—
371#468—118no—
372#461—112no—
373#460—114no—
374#459—114no—
375#459C2×D1112yescomplemented
376#450—112no—
377#450—118no—
378#450—114no—
379#449—118no—
380#447—118no—
381#447—114no—
382#447C2×D1112yes—
383C4×SD16—114no—
384C4×D8C2×D1114yescomplemented
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—24no—
394C22×C11—48no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—42no—
399C22×C11—42no—
400C22×C11C2×AGL(1,ℤ/8)12yes—
401C22×C11C23×D411yescharacteristic
402C2×D11—24no—
403C2×D11—24no—
404C2×D11—24no—
405C2×D11—48no—
406C2×D11—44no—
407C2×D11—44no—
408C2×D11—44no—
409C2×D11—832no—
410C2×D11—88no—
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—21no—
424C2×#41—114no—
425C22×D4—118no—
426C22×D4—111no—
427C22×D4—112no—
428C22×D4—224no—
429C22×D4—224no—
430C22×D4—222no—
431C22×D4—224no—
432C22×D4—222no—
433C22×D4—221no—
434C22×D4—221no—
435C22×D4—448no—
436C22×D4—448no—
437C22×D4C22×D1111yescharacteristic
438C23×C4—21no—
439C23×C4—112no—
440AGL(1,ℤ/8)—4416no—
441C2×SD16—114no—
442C2×SD16—118no—
443C2×D8—118no—
444C2×D8C22×D1114yes—
445C2×M16—118no—
446C4⋊Q8—111no—
447C4⋊Q8—111no—
448C4⋊Q8C22×D1111yescharacteristic, complemented
449#127—112no—
450#127—112no—
451#127—222no—
452#127—221no—
453#127—221no—
454#127C22×D1111yescharacteristic, complemented
455#126—224no—
456#125—221no—
457#124—21no—
458#124—224no—
459#124—222no—
460#123—224no—
461#123—224no—
462C22⋊Q8—112no—
463C22⋊Q8—114no—
464C22⋊Q8—221no—
465#121—21no—
466#121—114no—
467#121—118no—
468#121—224no—
469#121—224no—
470#121—224no—
471#121—224no—
472#121—222no—
473#121—222no—
474#121C22×D1112yes—
475#120—228no—
476#120—228no—
477#120—224no—
478C4×Q8—112no—
479C4×Q8—222no—
480C4×Q8—221no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—112no—
485C4×D4—112no—
486C4×D4—112no—
487C4×D4—112no—
488C4×D4—224no—
489C4×D4—222no—
490C4×D4—224no—
491C4×D4C22×D1112yes—
492C4×D4C22×D1112yes—
493C4×D4C22×D1112yescomplemented
494#117—114no—
495#117—222no—
496#117—221no—
497C2×C4⋊C4—111no—
498C2×C4⋊C4—222no—
499C2×C4⋊C4C22×D1111yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—112no—
502C2×C22⋊C4—222no—
503C2×C42C22×D1111yescharacteristic
504#107C22×D1114yescomplemented
505#106—114no—
506C4⋊C8—112no—
507C4⋊C8C22×D1112yescomplemented
508#103—114no—
509#102—114no—
510#102—118no—
511#102—118no—
512#102C22×D1114yes—
513#102C22×D1114yescomplemented
514C22⋊C8—112no—
515C22⋊C8—118no—
516C22⋊C8C22×D1112yes—
517C4×C8—112no—
518C4×C8C22×D1112yescomplemented
519C2×C11—22no—
520C2×C11—44no—
521C2×C11—82no—
522C2×C11#348411yescharacteristic
523C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
524C2×C11#358511yescharacteristic
525D11—44no—
526D11—84no—
527C24—21no—
528C24—112no—
529C24—228no—
530C24—222no—
531C24—448no—
532C24—448no—
533C24—884no—
534#41—44no—
535#41—448no—
536C2×Q8—21no—
537C2×Q8—112no—
538C2×Q8—221no—
539C2×D4—24no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—112no—
545C2×D4—112no—
546C2×D4—114no—
547C2×D4—228no—
548C2×D4—228no—
549C2×D4—2216no—
550C2×D4—224no—
551C2×D4—224no—
552C2×D4—224no—
553C2×D4—222no—
554C2×D4—222no—
555C2×D4—222no—
556C2×D4—222no—
557C2×D4—222no—
558C2×D4—444no—
559C2×D4—4416no—
560C2×D4—4416no—
561C2×D4—448no—
562C2×D4—448no—
563C2×D4—4416no—
564C2×D4—448no—
565C2×D4—444no—
566C2×D4—882no—
567C2×D4C23×D1112yes—
568C2×D4C23×D1112yes—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—44no—
574C22×C4—112no—
575C22×C4—114no—
576C22×C4—114no—
577C22×C4—224no—
578C22×C4—444no—
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1111yescharacteristic
582SD16—228no—
583SD16—448no—
584D8—28no—
585D8—448no—
586M16—448no—
587C2×C8—114no—
588C2×C8C23×D1114yes—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—112no—
592C4⋊C4—112no—
593C4⋊C4—112no—
594C4⋊C4—224no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—222no—
598C4⋊C4—222no—
599C4⋊C4—221no—
600C4⋊C4C23×D1112yes—
601C4⋊C4C23×D1112yes—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—114no—
607C22⋊C4—114no—
608C22⋊C4—228no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—222no—
613C42—224no—
614C42—222no—
615C42D4×D1111yescharacteristic
616C42D4×D1111yescharacteristic
617C42C23×D1111yescharacteristic
618C42C23×D1111yescharacteristic
619C11#6158211yescharacteristic, complemented, Sylow
620C23—24no—
621C23—22no—
622C23—22no—
623C23—42no—
624C23—42no—
625C23—114no—
626C23—224no—
627C23—224no—
628C23—442no—
629C23—442no—
630C23—4416no—
631C23—444no—
632C23—444no—
633C23—4416no—
634C23—444no—
635C23—888no—
636C23—8832no—
637C23C2×D4×D1111yescharacteristic
638Q8—42no—
639Q8—224no—
640Q8—881no—
641D4—24no—
642D4—22no—
643D4—24no—
644D4—44no—
645D4—42no—
646D4—81no—
647D4—224no—
648D4—224no—
649D4—228no—
650D4—444no—
651D4—4416no—
652D4—4416no—
653D4—444no—
654D4—444no—
655D4—882no—
656D4—882no—
657D4—884no—
658D4—884no—
659D4#6704214yes—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—114no—
669C2×C4—228no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—444no—
673C2×C4—442no—
674C2×C4—884no—
675C2×C4#6696414yescomplemented
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—24no—
687C22—48no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—224no—
694C22—224no—
695C22—224no—
696C22—448no—
697C22—444no—
698C22—444no—
699C22—444no—
700C22—888no—
701C22—8832no—
702C22C2×#6696412yes—
703C22C22×D4×D1111yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—42no—
708C4—42no—
709C4—224no—
710C4—442no—
711C4—442no—
712C4C2×#6696412yes—
713C4C2×#6696412yes—
714C4C2×#6704212yes—
715C2—22no—
716C2—44no—
717C2—82no—
718C2—444no—
719C2—884no—
720C2#1308224911yescharacteristic
721C2C22×#6696411yescharacteristic
722C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3100C2
socleC22×C11C23×D4
hypercenter#3100D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3100

Complements

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

NH ≅ G/Ntype
1. #13082465C2semidirect
2. C2×D4×D44C2semidirect
3. #13080860C2semidirect
4. #13080844C2semidirect
5. #13080239C2semidirect
6. #13080217C2semidirect
7. #13079559C2semidirect
8. #13079531C2semidirect
9. #13079429C2semidirect
10. #13078624C2semidirect
11. #13077840C2semidirect
12. #13077656C2semidirect
13. C11×#3100C2semidirect
16. C11×#532C22semidirect
21. C2×#66964C22semidirect
22. #10623263C22semidirect
23. #10623249C22semidirect
26. #10623137C22semidirect
28. #10623094C22semidirect
29. #10623086C22semidirect
38. #10623001C22semidirect
39. C11×#480C22semidirect
40. C11×#474C22semidirect
41. C11×#459C22semidirect
43. C4×C11×D8C22semidirect
44. C11×#431C22semidirect
46. #10622769C22semidirect
47. #10622701C22semidirect
48. #10622686C22semidirect
49. #10622649C22semidirect
50. #10622632C22semidirect
51. C4×#4324C22semidirect
52. #10622628C22semidirect
53. #10622621C22semidirect
54. #10622584C22semidirect
55. #10622538C22semidirect
56. #10622499C22semidirect
57. #10622498C22semidirect
58. #10622461C22semidirect
59. #10622451C22semidirect
60. #10622395C22semidirect
61. #10622394C22semidirect
62. #10622389C22semidirect
63. #10622383C22semidirect
64. #10622344C22semidirect
65. #10622339C22semidirect
66. #10622307C22semidirect
67. #10622306C22semidirect
68. #10622301C22semidirect
74. C2×#4341C23semidirect
88. C11×C4⋊Q8C23semidirect
89. C11×#127C23semidirect
98. C4×D4×C11C23semidirect
106. #66991C23semidirect
111. C2×#4323C23semidirect
125. C2×#4314C23semidirect
126. C2×#4313C23semidirect
128. #66950C23semidirect
131. #66945C23semidirect
147. #66922C23semidirect
148. #66922C23semidirect
150. C4×Dic22C23semidirect
151. C11×#107C23semidirect
152. C11×C4⋊C8C23semidirect
154. C11×#102C23semidirect
156. C4×C8×C11C23semidirect
159. #66885C23semidirect
160. (C2×D11)⋊C8C23semidirect
161. #66874C23semidirect
162. #66873C23semidirect
163. #66872C23semidirect
164. C4⋊(C11⋊C8)C23semidirect
165. C4×C11⋊C8C23semidirect
269. #3100D11semidirect
306. C2×C4×C11AGL(1,ℤ/8)semidirect
352. #532C2×D11semidirect
367. #480C2×D11semidirect
369. #474C2×D11semidirect
375. #459C2×D11semidirect
384. C4×D8C2×D11semidirect
388. #431C2×D11semidirect
448. C4⋊Q8C22×D11semidirect
454. #127C22×D11semidirect
493. C4×D4C22×D11semidirect
504. #107C22×D11semidirect
507. C4⋊C8C22×D11semidirect
513. #102C22×D11semidirect
518. C4×C8C22×D11semidirect
619. C11#61582semidirect
675. C2×C4#66964semidirect

Maximal subgroups

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

subgroupindex
#130824652
C2×D4×D442
#130808602
#130808442
#130802392
#130802172
#130795592
#130795312
#130794292
#130786242
#130778402
#130776562
C11×#31002
#6158211