Finite Group Databasebeta

← #15638813

Subgroups — #15638813

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×D4×D44C211yesmaximal, characteristic, complemented
3#13080855C214yesmaximal, complemented
4#13080849C214yesmaximal, complemented
5#13080237C214yesmaximal, complemented
6#13080219C214yesmaximal, complemented
7#13079554C211yesmaximal, characteristic, complemented
8#13079536C211yesmaximal, characteristic, complemented
9#13079435C214yesmaximal, complemented
10#13078616C211yesmaximal, characteristic, complemented
11#13077844C214yesmaximal, complemented
12#13077656C211yesmaximal, characteristic, complemented
13C11×#3101C211yesmaximal, characteristic, complemented
14C22×D4×D11C2212yes—
15C23×D44—21no—
16C11×#533C2211yescharacteristic, complemented
17C2×C4×D4×C11C2211yescharacteristic
18C2×#66983—21no—
19C2×#66967C2218yescomplemented
20#10623265C2212yescomplemented
21#10623257C2212yescomplemented
22#10623226—22no—
23#10623175—22no—
24#10623158C2214yescomplemented
25#10623116—22no—
26#10623115C2212yescomplemented
27#10623108C2212yescomplemented
28D4×D44—22no—
29D4×D44—22no—
30D4×D44C2214yes—
31D4×D44C2214yes—
32#10623056—21no—
33#10623054—21no—
34C2×#66948C2212yes—
35C2×#66935—22no—
36#10623008C2211yescharacteristic, complemented
37C2×#66927C2211yescharacteristic
38C2×C4×D44C2211yescharacteristic
39C11×#483C2212yescomplemented
40C11×#476C2212yescomplemented
41C11×#461C2212yescomplemented
42C11×#450C2212yes—
43C4×C11×SD16C2214yescomplemented
44C11×#431C2211yescharacteristic, complemented
45#10622830C2212yes—
46#10622782C2218yescomplemented
47#10622701C2212yescomplemented
48#10622698C2212yescomplemented
49#10622659C2214yescomplemented
50#10622640C2214yescomplemented
51#10622628C2212yescomplemented
52C4×#4323C2214yescomplemented
53#10622620C2212yescomplemented
54#10622580C2212yescomplemented
55#10622538C2211yescharacteristic, complemented
56#10622479C2218yescomplemented
57#10622478C2218yescomplemented
58#10622456C2214yescomplemented
59#10622451C2214yescomplemented
60#10622425C2218yescomplemented
61#10622424C2218yescomplemented
62#10622386C2218yescomplemented
63#10622383C2218yescomplemented
64#10622345C2214yescomplemented
65#10622339C2214yescomplemented
66#10622308C2212yescomplemented
67#10622307C2212yescomplemented
68#10622301C2214yescomplemented
69C24×D11—22no—
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C22×C22⋊D11—22no—
73C2×#4343C2314yescomplemented
74C2×D4×D11—24no—
75C2×D4×D11—48no—
76C2×D4×D11C2318yes—
77C2×#4339—21no—
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×SD16C2314yes—
88C11×C4⋊Q8C2311yescharacteristic, complemented
89C11×C4⋊Q8C2311yescharacteristic, complemented
90C11×#125—21no—
91C11×C22⋊Q8—21no—
92C11×C22⋊Q8C2312yes—
93C4×Q8×C11—21no—
94C4×Q8×C11C2312yescomplemented
95C4×D4×C11—21no—
96C4×D4×C11—21no—
97C4×D4×C11C2312yes—
98C4×D4×C11C2312yes—
99C11×#117—21no—
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C22⋊C4—21no—
102C2×C42×C11C2311yescharacteristic
103#67000—24no—
104#66999C2314yescomplemented
105C2×#4325C2318yescomplemented
106C2×#4323C2314yes—
107#66983—21no—
108#66983—24no—
109#66983—24no—
110#66983C2312yes—
111C2×(C2×D11)⋊C4—22no—
112C2×(C2×D11)⋊C4D412yes—
113C2×C4⋊Dic11D411yescharacteristic
114#66967—416no—
115C2×D88C2318yescomplemented
116C2×#4313C2318yescomplemented
117#66951—24no—
118#66948—22no—
119#66948—22no—
120#66948—24no—
121#66948—24no—
122#66948C2318yes—
123#66948C2314yescomplemented
124#66947—24no—
125#66947—24no—
126#66946—24no—
127#66945—22no—
128#66945C2314yescomplemented
129C4⋊C4×D11—22no—
130#66935—24no—
131#66935—28no—
132#66935—28no—
133(C22⋊D11)⋊C4—24no—
134#66928—22no—
135#66928—21no—
136#66927—22no—
137#66927—21no—
138#66927—21no—
139#66927C2312yes—
140#66927C2312yes—
141#66927C2311yescharacteristic, complemented
142C4×D44—21no—
143C4×D44—22no—
144C4×D44D412yes—
145C4×D44D412yes—
146C4×D44C2312yes—
147C4×D44C2312yes—
148C4×D44C2312yescomplemented
149#66922C2311yescharacteristic, complemented
150C4×Dic22—22no—
151C11×#106C2314yescomplemented
152C11×C4⋊C8C2312yescomplemented
153C11×#103C2314yescomplemented
154C11×#102C2314yes—
155C11×C22⋊C8C2312yes—
156C4×C8×C11C2312yescomplemented
157#66896C2314yes—
158C22⋊(C11⋊C8)C2312yes—
159#66885C2318yescomplemented
160(C2×D11)⋊C8C2318yescomplemented
161#66873C2314yescomplemented
162#66873C2318yescomplemented
163#66871C2314yescomplemented
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—
174C2×Q8×C11—21no—
175C2×Q8×C11C2412yes—
176C2×D4×C11—24no—
177C2×D4×C11—21no—
178C2×D4×C11C2412yes—
179C22×C4×C11—21no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—44no—
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C2×C22⋊D11—28no—
187C2×C22⋊D11—22no—
188C2×C22⋊D11—48no—
189C22×Dic11C2×D412yes—
190#4343—48no—
191D4×D11—216no—
192D4×D11—48no—
193D4×D11—416no—
194#4339—44no—
195C2×D44—28no—
196C2×D44—24no—
197C2×D44—24no—
198C2×D44—24no—
199C2×D44—21no—
200C2×D44—22no—
201C2×D44—22no—
202C2×D44—22no—
203C2×D44—21no—
204C2×D44—22no—
205C2×D44—22no—
206C2×D44—44no—
207C2×D44—48no—
208C2×D44—416no—
209C2×D44—416no—
210C2×D44—44no—
211C2×D44—82no—
212C2×D44C2×D412yes—
213C2×D44C2×D412yes—
214C2×D44C2414yes—
215C2×D44C2412yes—
216C2×C4×D11—24no—
217C2×C4×D11—22no—
218C2×C4×D11—44no—
219C2×C4×D11C2×D414yes—
220C2×C4×D11C2414yes—
221C2×Dic22—21no—
222C11×SD16—28no—
223C2×C8×C11C2414yes—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—22no—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C42×C11—22no—
236C42×C11C2×D411yescharacteristic
237C42×C11C2×D411yescharacteristic
238C42×C11C2411yescharacteristic
239C42×C11C2411yescharacteristic
240#4325—48no—
241#4323—28no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—28no—
244(C2×D11)⋊C4—24no—
245(C2×D11)⋊C4—24no—
246(C2×D11)⋊C4—22no—
247(C2×D11)⋊C4—22no—
248(C2×D11)⋊C4C2×D414yes—
249(C2×D11)⋊C4C2×D414yes—
250C4⋊Dic11—21no—
251C4⋊Dic11C2×D412yes—
252C4⋊Dic11C2×D412yes—
253C4⋊Dic11C2412yes—
254Dic11⋊C4—24no—
255C4×Dic11—24no—
256C2×C11⋊C8C2414yes—
257D88—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#3101D1111yescharacteristic, complemented
269#3100—111no—
270#3003—114no—
271#2975—111no—
272C23×C11—24no—
273C23×C11—22no—
274C23×C11—42no—
275C23×C11—42no—
276C23×C11C22×D411yescharacteristic
277C22×D11—24no—
278C22×D11—22no—
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—24no—
291Q8×C11—81no—
292D4×C11—24no—
293D4×C11—22no—
294D4×C11H(5,𝔽2)14yes—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—41no—
300C2×C4×C11—42no—
301C2×C4×C11—44no—
302C2×C4×C11—44no—
303C2×C4×C11AGL(1,ℤ/8)14yescomplemented
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2511yescharacteristic
310C22⋊D11—416no—
311C22⋊D11—44no—
312C2×Dic11—22no—
313C2×Dic11—42no—
314C2×Dic11C22×D414yes—
315D44—24no—
316D44—24no—
317D44—24no—
318D44—28no—
319D44—44no—
320D44—416no—
321D44—44no—
322D44—44no—
323D44—42no—
324D44—81no—
325D44—82no—
326D44—82no—
327D44—84no—
328D44—84no—
329C4×D11—28no—
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×#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#483C2×D1112yescomplemented
366#482—118no—
367#480—112no—
368#476C2×D1112yescomplemented
369#474—112no—
370#469—118no—
371#468—118no—
372#461C2×D1112yescomplemented
373#460—114no—
374#459—112no—
375#459—114no—
376#450—118no—
377#450—114no—
378#450C2×D1112yes—
379#449—118no—
380#447—112no—
381#447—118no—
382#447—114no—
383C4×SD16C2×D1114yescomplemented
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—24no—
394C22×C11—48no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11C2×AGL(1,ℤ/8)12yes—
398C22×C11C23×D411yescharacteristic
399C2×D11—24no—
400C2×D11—24no—
401C2×D11—24no—
402C2×D11—48no—
403C2×D11—44no—
404C2×D11—42no—
405C2×D11—44no—
406C2×D11—42no—
407C2×D11—44no—
408C2×D11—42no—
409C2×D11—832no—
410C2×D11—88no—
411C4×C11—21no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11—42no—
417C4×C11C2×AGL(1,ℤ/8)12yes—
418C4×C11C2×AGL(1,ℤ/8)12yes—
419C4×C11C2×H(5,𝔽2)12yes—
420Dic11—24no—
421Dic11—42no—
422C25—222no—
423C2×#41—114no—
424C2×#41—221no—
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—118no—
442C2×SD16C22×D1114yes—
443C2×D8—114no—
444C2×D8—118no—
445C2×M16—118no—
446C4⋊Q8—111no—
447C4⋊Q8C22×D1111yescharacteristic, complemented
448C4⋊Q8C22×D1111yescharacteristic, complemented
449#127—112no—
450#127—112no—
451#127—111no—
452#127—222no—
453#127—221no—
454#127—221no—
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—112no—
466#121—118no—
467#121—114no—
468#121—224no—
469#121—224no—
470#121—222no—
471#121—222no—
472#121—224no—
473#121—224no—
474#121—221no—
475#120—228no—
476#120—228no—
477#120—224no—
478C4×Q8—21no—
479C4×Q8—222no—
480C4×Q8C22×D1112yescomplemented
481C4×D4—21no—
482C4×D4—21no—
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×D4C22×D1112yes—
493C4×D4C22×D1112yes—
494#117—21no—
495#117—114no—
496#117—222no—
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#107—114no—
505#106C22×D1114yescomplemented
506C4⋊C8—112no—
507C4⋊C8C22×D1112yescomplemented
508#103C22×D1114yescomplemented
509#102—114no—
510#102—118no—
511#102—118no—
512#102—114no—
513#102C22×D1114yes—
514C22⋊C8—112no—
515C22⋊C8—118no—
516C22⋊C8C22×D1112yes—
517C4×C8—112no—
518C4×C8C22×D1112yescomplemented
519C2×C11—22no—
520C2×C11—44no—
521C2×C11#348411yescharacteristic
522C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
523C2×C11#358511yescharacteristic
524D11—44no—
525D11—82no—
526D11—84no—
527C24—21no—
528C24—112no—
529C24—228no—
530C24—222no—
531C24—448no—
532C24—448no—
533C24—884no—
534#41—448no—
535#41—444no—
536C2×Q8—21no—
537C2×Q8—221no—
538C2×Q8C23×D1112yes—
539C2×D4—24no—
540C2×D4—21no—
541C2×D4—112no—
542C2×D4—112no—
543C2×D4—114no—
544C2×D4—112no—
545C2×D4—228no—
546C2×D4—224no—
547C2×D4—224no—
548C2×D4—228no—
549C2×D4—2216no—
550C2×D4—222no—
551C2×D4—224no—
552C2×D4—221no—
553C2×D4—222no—
554C2×D4—222no—
555C2×D4—222no—
556C2×D4—221no—
557C2×D4—222no—
558C2×D4—222no—
559C2×D4—444no—
560C2×D4—4416no—
561C2×D4—4416no—
562C2×D4—448no—
563C2×D4—448no—
564C2×D4—4416no—
565C2×D4—448no—
566C2×D4—444no—
567C2×D4—882no—
568C2×D4C23×D1112yes—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—44no—
573C22×C4—112no—
574C22×C4—114no—
575C22×C4—114no—
576C22×C4—224no—
577C22×C4—222no—
578C22×C4—444no—
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1111yescharacteristic
582SD16—28no—
583SD16—448no—
584D8—228no—
585D8—448no—
586M16—448no—
587C2×C8—114no—
588C2×C8C23×D1114yes—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—112no—
596C4⋊C4—112no—
597C4⋊C4—112no—
598C4⋊C4—224no—
599C4⋊C4—221no—
600C4⋊C4C23×D1112yes—
601C4⋊C4C23×D1112yes—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—114no—
606C22⋊C4—114no—
607C22⋊C4—228no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4—224no—
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—22no—
622C23—42no—
623C23—42no—
624C23—114no—
625C23—224no—
626C23—222no—
627C23—224no—
628C23—442no—
629C23—442no—
630C23—4416no—
631C23—444no—
632C23—444no—
633C23—4416no—
634C23—444no—
635C23—888no—
636C23—8832no—
637C23C2×D4×D1111yescharacteristic
638Q8—24no—
639Q8—81no—
640Q8—442no—
641D4—24no—
642D4—22no—
643D4—224no—
644D4—224no—
645D4—224no—
646D4—228no—
647D4—444no—
648D4—4416no—
649D4—4416no—
650D4—444no—
651D4—444no—
652D4—444no—
653D4—442no—
654D4—882no—
655D4—882no—
656D4—881no—
657D4—884no—
658D4—884no—
659D4#6704214yes—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—114no—
669C2×C4—228no—
670C2×C4—222no—
671C2×C4—444no—
672C2×C4—442no—
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—24no—
687C22—48no—
688C22—42no—
689C22—42no—
690C22—224no—
691C22—224no—
692C22—224no—
693C22—448no—
694C22—442no—
695C22—444no—
696C22—442no—
697C22—444no—
698C22—442no—
699C22—444no—
700C22—888no—
701C22—8832no—
702C22C2×#6696712yes—
703C22C22×D4×D1111yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—224no—
711C4—442no—
712C4C2×#6696712yes—
713C4C2×#6696712yes—
714C4C2×#6704212yes—
715C2—22no—
716C2—44no—
717C2—444no—
718C2—884no—
719C2—882no—
720C2#1308224911yescharacteristic
721C2C22×#6696711yescharacteristic
722C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3101C2
socleC22×C11C23×D4
hypercenter#3101D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3101

Complements

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

NH ≅ G/Ntype
1. #13082470C2semidirect
2. C2×D4×D44C2semidirect
3. #13080855C2semidirect
4. #13080849C2semidirect
5. #13080237C2semidirect
6. #13080219C2semidirect
7. #13079554C2semidirect
8. #13079536C2semidirect
9. #13079435C2semidirect
10. #13078616C2semidirect
11. #13077844C2semidirect
12. #13077656C2semidirect
13. C11×#3101C2semidirect
16. C11×#533C22semidirect
19. C2×#66967C22semidirect
20. #10623265C22semidirect
21. #10623257C22semidirect
24. #10623158C22semidirect
26. #10623115C22semidirect
27. #10623108C22semidirect
36. #10623008C22semidirect
39. C11×#483C22semidirect
40. C11×#476C22semidirect
41. C11×#461C22semidirect
43. C4×C11×SD16C22semidirect
44. C11×#431C22semidirect
46. #10622782C22semidirect
47. #10622701C22semidirect
48. #10622698C22semidirect
49. #10622659C22semidirect
50. #10622640C22semidirect
51. #10622628C22semidirect
52. C4×#4323C22semidirect
53. #10622620C22semidirect
54. #10622580C22semidirect
55. #10622538C22semidirect
56. #10622479C22semidirect
57. #10622478C22semidirect
58. #10622456C22semidirect
59. #10622451C22semidirect
60. #10622425C22semidirect
61. #10622424C22semidirect
62. #10622386C22semidirect
63. #10622383C22semidirect
64. #10622345C22semidirect
65. #10622339C22semidirect
66. #10622308C22semidirect
67. #10622307C22semidirect
68. #10622301C22semidirect
73. C2×#4343C23semidirect
88. C11×C4⋊Q8C23semidirect
89. C11×C4⋊Q8C23semidirect
94. C4×Q8×C11C23semidirect
104. #66999C23semidirect
105. C2×#4325C23semidirect
115. C2×D88C23semidirect
116. C2×#4313C23semidirect
123. #66948C23semidirect
128. #66945C23semidirect
141. #66927C23semidirect
148. C4×D44C23semidirect
149. #66922C23semidirect
151. C11×#106C23semidirect
152. C11×C4⋊C8C23semidirect
153. C11×#103C23semidirect
156. C4×C8×C11C23semidirect
159. #66885C23semidirect
160. (C2×D11)⋊C8C23semidirect
161. #66873C23semidirect
162. #66873C23semidirect
163. #66871C23semidirect
164. C4⋊(C11⋊C8)C23semidirect
165. C4×C11⋊C8C23semidirect
268. #3101D11semidirect
303. C2×C4×C11AGL(1,ℤ/8)semidirect
351. #533C2×D11semidirect
365. #483C2×D11semidirect
368. #476C2×D11semidirect
372. #461C2×D11semidirect
383. C4×SD16C2×D11semidirect
388. #431C2×D11semidirect
447. C4⋊Q8C22×D11semidirect
448. C4⋊Q8C22×D11semidirect
480. C4×Q8C22×D11semidirect
505. #106C22×D11semidirect
507. C4⋊C8C22×D11semidirect
508. #103C22×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×D4×D442
#130808552
#130808492
#130802372
#130802192
#130795542
#130795362
#130794352
#130786162
#130778442
#130776562
C11×#31012
#6158211