Finite Group Databasebeta

← #15638809

Subgroups — #15638809

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×#10623248C211yesmaximal, characteristic, complemented
3#13080861C214yesmaximal, complemented
4#13080846C214yesmaximal, complemented
5#13080235C214yesmaximal, complemented
6#13080211C214yesmaximal, complemented
7#13079557C211yesmaximal, characteristic, complemented
8#13079427C214yesmaximal, complemented
9#13078625C211yesmaximal, characteristic, complemented
10#13078612C211yesmaximal, characteristic, complemented
11#13077840C214yesmaximal, complemented
12#13077656C211yesmaximal, characteristic, complemented
13C11×#3205C211yesmaximal, characteristic, complemented
14C22×D4×D11—21no—
15C22×D4×D11C2212yes—
16C11×#532C2211yescharacteristic, complemented
17C2×C11×#127C2211yescharacteristic
18#10623361—21no—
19#10623358—21no—
20C2×#66991—21no—
21C2×#66991C2212yes—
22C2×#66990—22no—
23C2×#66964C2218yescomplemented
24#10623263C2212yescomplemented
25#10623249C2212yescomplemented
26#10623248—22no—
27#10623248—22no—
28#10623248C2214yes—
29#10623248C2214yes—
30#10623212—22no—
31#10623148—22no—
32#10623137C2214yescomplemented
33#10623096—22no—
34#10623094C2212yescomplemented
35#10623086C2212yescomplemented
36C2×C4×D44C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38#10623001C2211yescharacteristic, complemented
39C11×#493C2212yescomplemented
40C11×#486C2212yescomplemented
41C11×#459C2214yescomplemented
42C11×#447C2214yescomplemented
43C11×#431C2211yescharacteristic, complemented
44#10622831C2214yescomplemented
45#10622772C2218yescomplemented
46#10622771C2218yescomplemented
47#10622769C2218yescomplemented
48#10622700C2212yescomplemented
49#10622689C2212yescomplemented
50#10622688C2214yescomplemented
51#10622685C2212yescomplemented
52#10622683C2212yescomplemented
53#10622649C2212yes—
54#10622646C2212yescomplemented
55C4×#4323C2214yescomplemented
56#10622538C2211yescharacteristic, complemented
57#10622455C2212yescomplemented
58#10622454C2212yescomplemented
59#10622451C2214yescomplemented
60#10622393C2218yescomplemented
61#10622392C2218yescomplemented
62#10622389C2218yescomplemented
63#10622383C2218yescomplemented
64#10622344C2212yes—
65#10622339C2214yescomplemented
66#10622334C2212yescomplemented
67C4×#4314C2214yescomplemented
68#10622301C2214yescomplemented
69C24×D11—22no—
70C2×C11×#41—21no—
71C22×D4×C11—21no—
72C22×D4×C11—21no—
73C22×D4×C11C2312yes—
74C22×C22⋊D11—22no—
75C22×C22⋊D11—22no—
76C2×#4341C2314yescomplemented
77C2×D4×D11—24no—
78C2×D4×D11—24no—
79C2×D4×D11—24no—
80C2×D4×D11—48no—
81C2×D4×D11—48no—
82C2×D4×D11C2318yes—
83C22×D44D411yescharacteristic
84C22×D44C2311yescharacteristic
85C22×C4×D11—21no—
86C22×C4×D11C2312yes—
87C2×C11×D8C2318yescomplemented
88C11×C4⋊Q8C2311yescharacteristic, complemented
89C11×#127—21no—
90C11×#127—21no—
91C11×#127C2312yes—
92C11×#127C2312yes—
93C11×#127C2311yescharacteristic, complemented
94C11×#124—21no—
95C11×#121—21no—
96C11×#121C2312yes—
97C4×D4×C11—21no—
98C4×D4×C11C2312yescomplemented
99C2×C42×C11C2311yescharacteristic
100C2×C22⋊Dic11—22no—
101#67000—22no—
102Q8×Dic11—22no—
103#66993—22no—
104#66992—24no—
105#66991—24no—
106#66991—24no—
107#66991—24no—
108#66991C2318yes—
109#66991C2314yescomplemented
110#66990—24no—
111#66990—28no—
112#66990—28no—
113D4×Dic11—24no—
114D4×Dic11—22no—
115C2×#4324C2318yescomplemented
116C2×#4323C2314yes—
117#66983—22no—
118#66983—22no—
119C2×(C2×D11)⋊C4—21no—
120C2×(C2×D11)⋊C4D412yes—
121#66979—21no—
122#66979—22no—
123C2×C4⋊Dic11—22no—
124C2×C4⋊Dic11D411yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126#66977—21no—
127#66977C2312yes—
128#66964—416no—
129C2×#4314C2314yes—
130C2×#4313C2318yescomplemented
131#66951—24no—
132#66950C2314yescomplemented
133#66945C2314yescomplemented
134#66939—24no—
135#66938—24no—
136#66936—24no—
137(C22⋊D11)⋊C4—24no—
138C4×D44—21no—
139C4×D44—21no—
140C4×D44D412yes—
141C4×D44D412yes—
142C4×D44C2312yes—
143C4×D44C2312yes—
144C4×D44C2312yes—
145C4×D44C2312yes—
146#66923—21no—
147#66922C2311yescharacteristic, complemented
148#66922C2311yescharacteristic, complemented
149C4×Dic22—21no—
150C4×Dic22C2312yescomplemented
151C11×C4⋊C8C2312yescomplemented
152C11×#102C2318yescomplemented
153C11×C22⋊C8C2312yes—
154C4×C8×C11C2312yescomplemented
155#66896C2318yescomplemented
156#66896C2314yescomplemented
157C22⋊(C11⋊C8)C2312yes—
158#66885C2314yes—
159(C2×D11)⋊C8C2318yescomplemented
160#66881C2314yescomplemented
161#66880C2314yescomplemented
162#66873C2314yes—
163#66871C2314yescomplemented
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—
174C11×#41—44no—
175C2×Q8×C11—21no—
176C2×D4×C11—22no—
177C2×D4×C11—21no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—22no—
181C2×D4×C11—22no—
182C2×D4×C11—22no—
183C2×D4×C11—21no—
184C2×D4×C11—44no—
185C2×D4×C11—44no—
186C2×D4×C11—82no—
187C2×D4×C11C2414yes—
188C2×D4×C11C2412yes—
189C22×C4×C11—22no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C2×C22⋊D11—28no—
194C2×C22⋊D11—28no—
195C2×C22⋊D11—24no—
196C2×C22⋊D11—24no—
197C2×C22⋊D11—48no—
198C2×C22⋊D11—48no—
199C22×Dic11—24no—
200C22×Dic11—21no—
201C22×Dic11C2×D412yes—
202#4341—48no—
203D4×D11—216no—
204D4×D11—48no—
205D4×D11—416no—
206D4×D11—416no—
207D4×D11—416no—
208C2×D44—24no—
209C2×D44—24no—
210C2×D44—21no—
211C2×D44C2×D412yes—
212C2×D44C2×D412yes—
213C2×D44C2412yes—
214C2×C4×D11—22no—
215C2×C4×D11—22no—
216C2×C4×D11—44no—
217C2×C4×D11—44no—
218C2×C4×D11C2×D414yes—
219C2×C4×D11C2414yes—
220C2×Dic22—21no—
221C2×Dic22C2412yes—
222C11×D8—48no—
223C2×C8×C11C2414yes—
224C11×C4⋊C4—21no—
225C11×C4⋊C4C2412yes—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C42×C11C2×D411yescharacteristic
229C42×C11C2×D411yescharacteristic
230C42×C11C2411yescharacteristic
231C42×C11C2411yescharacteristic
232C22⋊Dic11—24no—
233C22⋊Dic11—28no—
234C22⋊Dic11—22no—
235#4324—48no—
236#4323—28no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—22no—
240(C2×D11)⋊C4—22no—
241(C2×D11)⋊C4C2×D414yes—
242(C2×D11)⋊C4C2×D414yes—
243C4⋊Dic11—24no—
244C4⋊Dic11—21no—
245C4⋊Dic11—21no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11C2×D412yes—
249C4⋊Dic11C2×D412yes—
250C4⋊Dic11C2412yes—
251C4⋊Dic11C2412yes—
252Dic11⋊C4—22no—
253Dic11⋊C4—22no—
254C4×Dic11—24no—
255C4×Dic11—22no—
256C2×C11⋊C8C2414yes—
257#4314—28no—
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#3205D1111yescharacteristic, complemented
267#3194—114no—
268#3101—111no—
269#3100—111no—
270#3003—114no—
271#2975—111no—
272C23×C11—22no—
273C23×C11—24no—
274C23×C11—44no—
275C23×C11—44no—
276C23×C11—44no—
277C23×C11C22×D411yescharacteristic
278C22×D11—24no—
279C22×D11—24no—
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—42no—
291D4×C11—24no—
292D4×C11—28no—
293D4×C11—44no—
294D4×C11—44no—
295D4×C11—44no—
296D4×C11—44no—
297D4×C11—42no—
298D4×C11—81no—
299D4×C11—82no—
300D4×C11—82no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—41no—
304C2×C4×C11—44no—
305C2×C4×C11AGL(1,ℤ/8)14yescomplemented
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C22×D411yescharacteristic
311C2×C4×C11C2511yescharacteristic
312C22⋊D11—416no—
313C22⋊D11—416no—
314C22⋊D11—84no—
315C22⋊D11—84no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—84no—
322C2×Dic11C22×D414yes—
323D44—24no—
324D44—24no—
325D44—24no—
326D44—22no—
327D44H(5,𝔽2)14yes—
328C4×D11—28no—
329C4×D11—44no—
330C4×D11—44no—
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×#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#493C2×D1112yescomplemented
362#492—112no—
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#460—114no—
374#459—112no—
375#459C2×D1114yescomplemented
376#450—114no—
377#450—118no—
378#450—112no—
379#449—118no—
380#447—118no—
381#447—112no—
382#447C2×D1114yescomplemented
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—42no—
395C22×C11—44no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—44no—
399C22×C11—88no—
400C22×C11C2×AGL(1,ℤ/8)12yes—
401C22×C11C23×D411yescharacteristic
402C2×D11—24no—
403C2×D11—24no—
404C2×D11—24no—
405C2×D11—24no—
406C2×D11—48no—
407C2×D11—48no—
408C2×D11—42no—
409C2×D11—42no—
410C2×D11—832no—
411C4×C11—21no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—42no—
415C4×C11C2×AGL(1,ℤ/8)12yes—
416C4×C11C2×AGL(1,ℤ/8)12yes—
417C4×C11C2×H(5,𝔽2)12yes—
418Dic11—24no—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422C25—222no—
423C2×#41—21no—
424C2×#41—114no—
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—118no—
442C2×SD16—114no—
443C2×D8—114no—
444C2×D8C22×D1118yescomplemented
445C2×M16—118no—
446C4⋊Q8—111no—
447C4⋊Q8—111no—
448C4⋊Q8C22×D1111yescharacteristic, complemented
449#127—21no—
450#127—21no—
451#127—222no—
452#127C22×D1112yes—
453#127C22×D1112yes—
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—118no—
467#121—114no—
468#121—224no—
469#121—224no—
470#121—224no—
471#121—222no—
472#121—222no—
473#121—224no—
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—112no—
483C4×D4—112no—
484C4×D4—112no—
485C4×D4—112no—
486C4×D4—112no—
487C4×D4—112no—
488C4×D4—224no—
489C4×D4—222no—
490C4×D4—224no—
491C4×D4—221no—
492C4×D4—221no—
493C4×D4C22×D1112yescomplemented
494#117—114no—
495#117—222no—
496#117—221no—
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—82no—
522C2×C11#348411yescharacteristic
523C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
524C2×C11#358511yescharacteristic
525D11—44no—
526D11—44no—
527C24—22no—
528C24—112no—
529C24—228no—
530C24—221no—
531C24—448no—
532C24—448no—
533C24—884no—
534#41—44no—
535#41—448no—
536C2×Q8—21no—
537C2×Q8—112no—
538C2×Q8—221no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—21no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—44no—
548C2×D4—44no—
549C2×D4—82no—
550C2×D4—112no—
551C2×D4—112no—
552C2×D4—112no—
553C2×D4—224no—
554C2×D4—228no—
555C2×D4—2216no—
556C2×D4—228no—
557C2×D4—224no—
558C2×D4—224no—
559C2×D4—224no—
560C2×D4—221no—
561C2×D4—448no—
562C2×D4—4416no—
563C2×D4—4416no—
564C2×D4—4416no—
565C2×D4—448no—
566C2×D4—448no—
567C2×D4C23×D1114yes—
568C2×D4C23×D1112yes—
569C22×C4—22no—
570C22×C4—112no—
571C22×C4—114no—
572C22×C4—114no—
573C22×C4—224no—
574C22×C4—221no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—444no—
578C22×C4—444no—
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1111yescharacteristic
582SD16—228no—
583SD16—448no—
584D8—48no—
585D8—228no—
586M16—448no—
587C2×C8—114no—
588C2×C8C23×D1114yes—
589C4⋊C4—21no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—112no—
593C4⋊C4—112no—
594C4⋊C4—224no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—221no—
598C4⋊C4—222no—
599C4⋊C4—222no—
600C4⋊C4—221no—
601C4⋊C4C23×D1112yes—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—114no—
605C22⋊C4—114no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—228no—
609C22⋊C4—224no—
610C22⋊C4—222no—
611C22⋊C4—222no—
612C22⋊C4—222no—
613C42—224no—
614C42—222no—
615C42D4×D1111yescharacteristic
616C42D4×D1111yescharacteristic
617C42C23×D1111yescharacteristic
618C42C23×D1111yescharacteristic
619C11#6158211yescharacteristic, complemented, Sylow
620C23—22no—
621C23—24no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—114no—
626C23—224no—
627C23—224no—
628C23—222no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—4416no—
633C23—4416no—
634C23—442no—
635C23—888no—
636C23—8832no—
637C23C2×D4×D1111yescharacteristic
638Q8—42no—
639Q8—224no—
640Q8—881no—
641D4—24no—
642D4—28no—
643D4—44no—
644D4—44no—
645D4—44no—
646D4—44no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—114no—
652D4—224no—
653D4—224no—
654D4—224no—
655D4—222no—
656D4—4416no—
657D4—4416no—
658D4—884no—
659D4—884no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—114no—
665C2×C4—228no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—444no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—444no—
673C2×C4—444no—
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—44no—
687C22—42no—
688C22—42no—
689C22—44no—
690C22—42no—
691C22—44no—
692C22—88no—
693C22—224no—
694C22—224no—
695C22—224no—
696C22—224no—
697C22—448no—
698C22—448no—
699C22—442no—
700C22—442no—
701C22—8832no—
702C22C2×#6696412yes—
703C22C22×D4×D1111yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—42no—
708C4—224no—
709C4—442no—
710C4—442no—
711C4—442no—
712C4C2×#6696412yes—
713C4C2×#6696412yes—
714C4D11×H(5,𝔽2)12yes—
715C2—22no—
716C2—84no—
717C2—82no—
718C2—444no—
719C2—444no—
720C2#1308225011yescharacteristic
721C2C22×#6696411yescharacteristic
722C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3205C2
socleC22×C11C23×D4
hypercenter#3205D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3205

Complements

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

NH ≅ G/Ntype
1. #13082465C2semidirect
2. C2×#10623248C2semidirect
3. #13080861C2semidirect
4. #13080846C2semidirect
5. #13080235C2semidirect
6. #13080211C2semidirect
7. #13079557C2semidirect
8. #13079427C2semidirect
9. #13078625C2semidirect
10. #13078612C2semidirect
11. #13077840C2semidirect
12. #13077656C2semidirect
13. C11×#3205C2semidirect
16. C11×#532C22semidirect
23. C2×#66964C22semidirect
24. #10623263C22semidirect
25. #10623249C22semidirect
32. #10623137C22semidirect
34. #10623094C22semidirect
35. #10623086C22semidirect
38. #10623001C22semidirect
39. C11×#493C22semidirect
40. C11×#486C22semidirect
41. C11×#459C22semidirect
42. C11×#447C22semidirect
43. C11×#431C22semidirect
44. #10622831C22semidirect
45. #10622772C22semidirect
46. #10622771C22semidirect
47. #10622769C22semidirect
48. #10622700C22semidirect
49. #10622689C22semidirect
50. #10622688C22semidirect
51. #10622685C22semidirect
52. #10622683C22semidirect
54. #10622646C22semidirect
55. C4×#4323C22semidirect
56. #10622538C22semidirect
57. #10622455C22semidirect
58. #10622454C22semidirect
59. #10622451C22semidirect
60. #10622393C22semidirect
61. #10622392C22semidirect
62. #10622389C22semidirect
63. #10622383C22semidirect
65. #10622339C22semidirect
66. #10622334C22semidirect
67. C4×#4314C22semidirect
68. #10622301C22semidirect
76. C2×#4341C23semidirect
87. C2×C11×D8C23semidirect
88. C11×C4⋊Q8C23semidirect
93. C11×#127C23semidirect
98. C4×D4×C11C23semidirect
109. #66991C23semidirect
115. C2×#4324C23semidirect
130. C2×#4313C23semidirect
132. #66950C23semidirect
133. #66945C23semidirect
147. #66922C23semidirect
148. #66922C23semidirect
150. C4×Dic22C23semidirect
151. C11×C4⋊C8C23semidirect
152. C11×#102C23semidirect
154. C4×C8×C11C23semidirect
155. #66896C23semidirect
156. #66896C23semidirect
159. (C2×D11)⋊C8C23semidirect
160. #66881C23semidirect
161. #66880C23semidirect
163. #66871C23semidirect
164. C4⋊(C11⋊C8)C23semidirect
165. C4×C11⋊C8C23semidirect
266. #3205D11semidirect
305. C2×C4×C11AGL(1,ℤ/8)semidirect
352. #532C2×D11semidirect
361. #493C2×D11semidirect
364. #486C2×D11semidirect
375. #459C2×D11semidirect
382. #447C2×D11semidirect
388. #431C2×D11semidirect
444. C2×D8C22×D11semidirect
448. C4⋊Q8C22×D11semidirect
454. #127C22×D11semidirect
493. C4×D4C22×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×#106232482
#130808612
#130808462
#130802352
#130802112
#130795572
#130794272
#130786252
#130786122
#130778402
#130776562
C11×#32052
#6158211