Finite Group Databasebeta

← #15638812

Subgroups — #15638812

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#13082468C211yesmaximal, characteristic, complemented
2C2×D4×D44C211yesmaximal, characteristic, complemented
3#13080859C214yesmaximal, complemented
4#13080848C214yesmaximal, complemented
5#13080238C214yesmaximal, complemented
6#13080218C214yesmaximal, complemented
7#13079559C211yesmaximal, characteristic, complemented
8#13079536C211yesmaximal, characteristic, complemented
9#13079432C214yesmaximal, complemented
10#13078625C211yesmaximal, characteristic, complemented
11#13078617C211yesmaximal, characteristic, complemented
12#13077846C214yesmaximal, complemented
13C11×#2975C211yesmaximal, characteristic, complemented
14C22×D4×D11—21no—
15C23×D44C2212yes—
16C2×C4×D4×C11C2211yescharacteristic
17#10623336—21no—
18#10623322C2214yescomplemented
19C2×#66983C2212yes—
20C2×#66961C2218yescomplemented
21#10623094C2212yescomplemented
22#10623090—22no—
23#10623089—22no—
24#10623084C2212yescomplemented
25#10623082C2212yescomplemented
26D4×D44—22no—
27D4×D44—22no—
28D4×D44C2214yes—
29D4×D44C2214yes—
30#10623073C2212yescomplemented
31C2×#66948—21no—
32#10623035—21no—
33#10623025—22no—
34C2×#66935—22no—
35#10623008C2211yescharacteristic, complemented
36C2×#66927C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38#10623001C2211yescharacteristic, complemented
39C11×#436C2214yescomplemented
40C11×#436C2214yescomplemented
41C11×#431C2211yescharacteristic, complemented
42C11×#431C2211yescharacteristic, complemented
43C11×#407C2214yescomplemented
44#10622748C2218yescomplemented
45#10622747C2218yescomplemented
46#10622744C2218yescomplemented
47#10622461C2214yescomplemented
48#10622459C2212yescomplemented
49#10622456C2212yescomplemented
50#10622456C2214yescomplemented
51#10622455C2212yescomplemented
52#10622454C2212yescomplemented
53#10622350C2218yescomplemented
54#10622349C2212yescomplemented
55#10622347C2218yescomplemented
56#10622345C2212yes—
57#10622345C2218yescomplemented
58#10622345C2214yescomplemented
59#10622344C2212yes—
60#10622344C2218yescomplemented
61#10622344C2214yescomplemented
62#10622334C2212yescomplemented
63#10622308C2212yescomplemented
64#10622307C2212yescomplemented
65#10622307C2212yescomplemented
66#10622306C2212yescomplemented
67C4×D88C2214yescomplemented
68C4×#4314C2214yescomplemented
69C24×D11—22no—
70C22×D4×C11D411yescharacteristic
71C23×C4×C11C2312yes—
72C22×C22⋊D11—22no—
73C2×D4×D11—24no—
74C2×D4×D11—24no—
75C2×D4×D11—48no—
76C2×#4339—21no—
77C2×#4339C2314yescomplemented
78C22×D44—21no—
79C22×D44—22no—
80C22×D44—24no—
81C22×D44—21no—
82C22×D44—48no—
83C22×D44C2311yescharacteristic
84C22×D44C2318yes—
85C22×D44C2312yes—
86C22×C4×D11—21no—
87C2×C11×M16C2318yescomplemented
88C4×D4×C11D412yes—
89C4×D4×C11D412yes—
90C4×D4×C11C2312yes—
91C4×D4×C11C2312yes—
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C11×C22⋊C4D412yes—
94C2×C42×C11C2311yescharacteristic
95#67006—24no—
96#66993—22no—
97#66991—22no—
98#66991—22no—
99#66989—22no—
100#66983—21no—
101#66983—24no—
102#66983C2318yes—
103#66983C2312yes—
104#66983C2314yescomplemented
105#66982—24no—
106C4×C22⋊D11—24no—
107C4×C22⋊D11—24no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—22no—
110#66979—21no—
111#66979C2314yescomplemented
112C2×C4⋊Dic11C2311yescharacteristic
113#66977—21no—
114#66977C2312yes—
115#66977C2314yescomplemented
116#66961—416no—
117C2×D88C2314yes—
118C2×D88C2318yescomplemented
119C2×#4314C2314yes—
120C2×#4314C2318yescomplemented
121#66948—24no—
122#66948—24no—
123#66946—22no—
124#66945—22no—
125C4⋊C4×D11—22no—
126#66940—22no—
127#66938—24no—
128#66937—24no—
129#66936—24no—
130#66935—28no—
131#66935—28no—
132#66932—24no—
133#66928—21no—
134#66927—21no—
135#66927—21no—
136#66927C2312yes—
137#66927C2312yes—
138#66927C2311yescharacteristic, complemented
139C4×D44—21no—
140C4×D44—21no—
141C4×D44—21no—
142C4×D44C2312yes—
143C4×D44C2312yes—
144C4×D44C2312yescomplemented
145#66923—21no—
146#66922C2311yescharacteristic, complemented
147#66922C2311yescharacteristic, complemented
148#66922C2311yescharacteristic, complemented
149C4×Dic22—21no—
150C4×Dic22C2312yescomplemented
151C11×C4⋊C8C2312yescomplemented
152C11×C4⋊C8C2312yescomplemented
153C11×C22⋊C8C2312yes—
154C11×C22⋊C8C2312yes—
155C11×C22⋊C8C2318yescomplemented
156C4×C8×C11C2312yescomplemented
157C4×C8×C11C2312yescomplemented
158#66885C2314yes—
159#66885C2314yes—
160#66885C2318yescomplemented
161#66885C2318yescomplemented
162#66885C2314yescomplemented
163#66882C2314yescomplemented
164#66881C2314yescomplemented
165#66880C2314yescomplemented
166#61582—111nomaximal, Sylow
167C24×C11C2×D412yes—
168C23×D11—21no—
169C23×D11—22no—
170C23×D11—28no—
171C23×D11—48no—
172C23×D11—48no—
173C23×D11—84no—
174C2×D4×C11—24no—
175C2×D4×C11C2×D412yes—
176C2×D4×C11C2×D412yes—
177C22×C4×C11—44no—
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D412yes—
180C22×C4×C11C2×D414yes—
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2414yes—
184C2×C22⋊D11—28no—
185C2×C22⋊D11—22no—
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11—48no—
189C22×Dic11—21no—
190D4×D11—416no—
191D4×D11—416no—
192#4339—48no—
193#4339—44no—
194C2×D44—24no—
195C2×D44—216no—
196C2×D44—21no—
197C2×D44—22no—
198C2×D44—22no—
199C2×D44—22no—
200C2×D44—21no—
201C2×D44—28no—
202C2×D44—21no—
203C2×D44—22no—
204C2×D44—22no—
205C2×D44—48no—
206C2×D44—44no—
207C2×D44—48no—
208C2×D44—416no—
209C2×D44—44no—
210C2×D44—82no—
211C2×D44C2414yes—
212C2×D44C2412yes—
213C2×D44C2412yes—
214C2×C4×D11—22no—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11—24no—
218C2×C4×D11—44no—
219C2×Dic22—21no—
220C2×Dic22—21no—
221C2×Dic22C2412yes—
222C11×M16—48no—
223C2×C8×C11C2414yes—
224C2×C8×C11C2414yes—
225C11×C4⋊C4C2×D412yes—
226C11×C4⋊C4C2×D412yes—
227C11×C22⋊C4C2×D414yes—
228C11×C22⋊C4C2×D414yes—
229C42×C11C2×D411yescharacteristic
230C42×C11C2×D411yescharacteristic
231C42×C11C2411yescharacteristic
232C42×C11C2411yescharacteristic
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235C22⋊Dic11—22no—
236(C2×D11)⋊C4—22no—
237(C2×D11)⋊C4—22no—
238(C2×D11)⋊C4—22no—
239(C2×D11)⋊C4—22no—
240(C2×D11)⋊C4—28no—
241(C2×D11)⋊C4—24no—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11—21no—
246C4⋊Dic11—21no—
247C4⋊Dic11C2412yes—
248C4⋊Dic11C2412yes—
249C4⋊Dic11C2412yes—
250Dic11⋊C4—22no—
251Dic11⋊C4—22no—
252Dic11⋊C4—24no—
253C4×Dic11—22no—
254C4×Dic11—24no—
255D88—28no—
256D88—48no—
257#4314—28no—
258#4314—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#3100—111no—
270#3003—114no—
271#2975D1111yescharacteristic, complemented
272C23×C11—24no—
273C23×C11—42no—
274C23×C11—42no—
275C23×C11C22×D414yes—
276C23×C11C22×D411yescharacteristic
277C22×D11—24no—
278C22×D11—22no—
279C22×D11—22no—
280C22×D11—24no—
281C22×D11—416no—
282C22×D11—42no—
283C22×D11—42no—
284C22×D11—44no—
285C22×D11—44no—
286C22×D11—416no—
287C22×D11—44no—
288C22×D11—88no—
289C22×D11—832no—
290D4×C11—24no—
291D4×C11—24no—
292C2×C4×C11—28no—
293C2×C4×C11—22no—
294C2×C4×C11—44no—
295C2×C4×C11—42no—
296C2×C4×C11—41no—
297C2×C4×C11AGL(1,ℤ/8)14yescomplemented
298C2×C4×C11C22×D414yes—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2511yescharacteristic
305C22⋊D11—416no—
306C22⋊D11—44no—
307C22⋊D11—84no—
308C22⋊D11—84no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—42no—
314D44—24no—
315D44—22no—
316D44—28no—
317D44—24no—
318D44—416no—
319D44—44no—
320D44—44no—
321D44—44no—
322D44—42no—
323D44—81no—
324D44—82no—
325D44—82no—
326D44H(5,𝔽2)14yes—
327C4×D11—44no—
328C4×D11—44no—
329C4×D11—44no—
330C4×D11—84no—
331Dic22—24no—
332Dic22—42no—
333Dic22—81no—
334C8×C11—24no—
335C8×C11—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#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#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#459—114no—
376#450—112no—
377#450—114no—
378#450—118no—
379#449—118no—
380#447—112no—
381#447—114no—
382#447—118no—
383C4×SD16—114no—
384C4×D8—114no—
385#436C2×D1114yescomplemented
386#436C2×D1114yescomplemented
387#431C2×D1111yescharacteristic, complemented
388#431C2×D1111yescharacteristic, complemented
389#418—118no—
390#407C2×D1114yescomplemented
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—24no—
394C22×C11—24no—
395C22×C11—24no—
396C22×C11—48no—
397C22×C11C2×AGL(1,ℤ/8)12yes—
398C22×C11C23×D411yescharacteristic
399C2×D11—24no—
400C2×D11—48no—
401C2×D11—42no—
402C2×D11—42no—
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—24no—
415C4×C11C2×AGL(1,ℤ/8)12yes—
416C4×C11C2×AGL(1,ℤ/8)12yes—
417C4×C11C2×H(5,𝔽2)12yes—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422C25—222no—
423C2×#41—114no—
424C2×#41—221no—
425C22×D4—111no—
426C22×D4—118no—
427C22×D4—112no—
428C22×D4—222no—
429C22×D4—224no—
430C22×D4—224no—
431C22×D4—222no—
432C22×D4—221no—
433C22×D4—224no—
434C22×D4—221no—
435C22×D4—448no—
436C22×D4—448no—
437C22×D4D4411yescharacteristic
438C23×C4—221no—
439C23×C4C22×D1112yes—
440AGL(1,ℤ/8)—4416no—
441C2×SD16—114no—
442C2×SD16—118no—
443C2×D8—114no—
444C2×D8—118no—
445C2×M16C22×D1118yescomplemented
446C4⋊Q8—111no—
447C4⋊Q8—111no—
448C4⋊Q8—111no—
449#127—112no—
450#127—112no—
451#127—111no—
452#127—222no—
453#127—221no—
454#127—221no—
455#126—224no—
456#125—221no—
457#124—222no—
458#124—224no—
459#124—221no—
460#123—224no—
461#123—224no—
462C22⋊Q8—112no—
463C22⋊Q8—114no—
464C22⋊Q8—221no—
465#121—118no—
466#121—112no—
467#121—114no—
468#121—222no—
469#121—222no—
470#121—224no—
471#121—221no—
472#121—224no—
473#121—224no—
474#121—224no—
475#120—224no—
476#120—228no—
477#120—228no—
478C4×Q8—112no—
479C4×Q8—222no—
480C4×Q8—221no—
481C4×D4—112no—
482C4×D4—112no—
483C4×D4—112no—
484C4×D4—224no—
485C4×D4—224no—
486C4×D4—222no—
487C4×D4—221no—
488C4×D4—221no—
489C4×D4—221no—
490C4×D4D4412yes—
491C4×D4D4412yes—
492C4×D4C22×D1112yes—
493C4×D4C22×D1112yes—
494#117—114no—
495#117—221no—
496#117—222no—
497C2×C4⋊C4—111no—
498C2×C4⋊C4—222no—
499C2×C4⋊C4D4411yescharacteristic
500C2×C22⋊C4—221no—
501C2×C22⋊C4—222no—
502C2×C22⋊C4D4412yes—
503C2×C42C22×D1111yescharacteristic
504#107—114no—
505#106—114no—
506C4⋊C8C22×D1112yescomplemented
507C4⋊C8C22×D1112yescomplemented
508#103—114no—
509#102—114no—
510#102—114no—
511#102—118no—
512#102—118no—
513#102—114no—
514C22⋊C8C22×D1112yes—
515C22⋊C8C22×D1112yes—
516C22⋊C8C22×D1118yescomplemented
517C4×C8C22×D1112yescomplemented
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—221no—
528C24—222no—
529C24—228no—
530C24—448no—
531C24—448no—
532C24—884no—
533C24C2×D4412yes—
534#41—448no—
535#41—444no—
536C2×Q8—112no—
537C2×Q8—221no—
538C2×Q8—221no—
539C2×D4—24no—
540C2×D4—112no—
541C2×D4—114no—
542C2×D4—112no—
543C2×D4—224no—
544C2×D4—2216no—
545C2×D4—222no—
546C2×D4—228no—
547C2×D4—224no—
548C2×D4—224no—
549C2×D4—221no—
550C2×D4—221no—
551C2×D4—228no—
552C2×D4—222no—
553C2×D4—222no—
554C2×D4—222no—
555C2×D4—221no—
556C2×D4—222no—
557C2×D4—222no—
558C2×D4—448no—
559C2×D4—444no—
560C2×D4—4416no—
561C2×D4—448no—
562C2×D4—4416no—
563C2×D4—4416no—
564C2×D4—448no—
565C2×D4—444no—
566C2×D4—882no—
567C2×D4C2×D4412yes—
568C2×D4C2×D4412yes—
569C22×C4—44no—
570C22×C4—221no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—222no—
574C22×C4—224no—
575C22×C4—444no—
576C22×C4C2×D4411yescharacteristic
577C22×C4C2×D4412yes—
578C22×C4C2×D4414yes—
579C22×C4C2×D4411yescharacteristic
580C22×C4C23×D1111yescharacteristic
581C22×C4C23×D1114yes—
582SD16—228no—
583SD16—448no—
584D8—228no—
585D8—448no—
586M16—48no—
587C2×C8C23×D1114yes—
588C2×C8C23×D1114yes—
589C4⋊C4—112no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—224no—
595C4⋊C4—221no—
596C4⋊C4—222no—
597C4⋊C4—221no—
598C4⋊C4—222no—
599C4⋊C4—221no—
600C4⋊C4C2×D4412yes—
601C4⋊C4C2×D4412yes—
602C22⋊C4—224no—
603C22⋊C4—222no—
604C22⋊C4—224no—
605C22⋊C4—222no—
606C22⋊C4—222no—
607C22⋊C4—228no—
608C22⋊C4—224no—
609C22⋊C4—222no—
610C22⋊C4—222no—
611C22⋊C4C2×D4414yes—
612C22⋊C4C2×D4414yes—
613C42—224no—
614C42—222no—
615C42C2×D4411yescharacteristic
616C42C2×D4411yescharacteristic
617C42C23×D1111yescharacteristic
618C42C23×D1111yescharacteristic
619C11#6158211yescharacteristic, complemented, Sylow
620C23—24no—
621C23—42no—
622C23—42no—
623C23—224no—
624C23—222no—
625C23—222no—
626C23—224no—
627C23—4416no—
628C23—442no—
629C23—444no—
630C23—4416no—
631C23—444no—
632C23—442no—
633C23—444no—
634C23—888no—
635C23—8832no—
636C23C22×D4414yes—
637C23C22×D4411yescharacteristic
638Q8—224no—
639Q8—442no—
640Q8—881no—
641D4—24no—
642D4—24no—
643D4—114no—
644D4—224no—
645D4—222no—
646D4—224no—
647D4—228no—
648D4—4416no—
649D4—444no—
650D4—4416no—
651D4—444no—
652D4—444no—
653D4—444no—
654D4—442no—
655D4—882no—
656D4—882no—
657D4—881no—
658D4—884no—
659D4—884no—
660C2×C4—28no—
661C2×C4—22no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—442no—
670C2×C4—444no—
671C2×C4—444no—
672C2×C4—444no—
673C2×C4—884no—
674C2×C4#6696114yescomplemented
675C2×C4C22×D4414yes—
676C2×C4C22×D4411yescharacteristic
677C2×C4C22×D4411yescharacteristic
678C2×C4C22×D4411yescharacteristic
679C2×C4C22×D4411yescharacteristic
680C2×C4C22×D4411yescharacteristic
681C2×C4C24×D1111yescharacteristic
682C8—24no—
683C8—24no—
684C22—21no—
685C22—21no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—48no—
690C22—224no—
691C22—448no—
692C22—442no—
693C22—442no—
694C22—442no—
695C22—444no—
696C22—442no—
697C22—444no—
698C22—442no—
699C22—444no—
700C22—888no—
701C22—8832no—
702C22C2×#6696112yes—
703C22C23×D4411yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—24no—
708C4—442no—
709C4—442no—
710C4—442no—
711C4—442no—
712C4C2×#6696112yes—
713C4C2×#6696112yes—
714C4D11×H(5,𝔽2)12yes—
715C2—22no—
716C2—44no—
717C2—444no—
718C2—884no—
719C2—882no—
720C2#1308225211yescharacteristic
721C2C22×#6696111yescharacteristic
722C2#1308339711yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2975C2
socleC22×C11C23×D4
hypercenter#2975D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2975

Complements

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

NH ≅ G/Ntype
1. #13082468C2semidirect
2. C2×D4×D44C2semidirect
3. #13080859C2semidirect
4. #13080848C2semidirect
5. #13080238C2semidirect
6. #13080218C2semidirect
7. #13079559C2semidirect
8. #13079536C2semidirect
9. #13079432C2semidirect
10. #13078625C2semidirect
11. #13078617C2semidirect
12. #13077846C2semidirect
13. C11×#2975C2semidirect
18. #10623322C22semidirect
20. C2×#66961C22semidirect
21. #10623094C22semidirect
24. #10623084C22semidirect
25. #10623082C22semidirect
30. #10623073C22semidirect
35. #10623008C22semidirect
38. #10623001C22semidirect
39. C11×#436C22semidirect
40. C11×#436C22semidirect
41. C11×#431C22semidirect
42. C11×#431C22semidirect
43. C11×#407C22semidirect
44. #10622748C22semidirect
45. #10622747C22semidirect
46. #10622744C22semidirect
47. #10622461C22semidirect
48. #10622459C22semidirect
49. #10622456C22semidirect
50. #10622456C22semidirect
51. #10622455C22semidirect
52. #10622454C22semidirect
53. #10622350C22semidirect
54. #10622349C22semidirect
55. #10622347C22semidirect
57. #10622345C22semidirect
58. #10622345C22semidirect
60. #10622344C22semidirect
61. #10622344C22semidirect
62. #10622334C22semidirect
63. #10622308C22semidirect
64. #10622307C22semidirect
65. #10622307C22semidirect
66. #10622306C22semidirect
67. C4×D88C22semidirect
68. C4×#4314C22semidirect
77. C2×#4339C23semidirect
87. C2×C11×M16C23semidirect
104. #66983C23semidirect
111. #66979C23semidirect
115. #66977C23semidirect
118. C2×D88C23semidirect
120. C2×#4314C23semidirect
138. #66927C23semidirect
144. C4×D44C23semidirect
146. #66922C23semidirect
147. #66922C23semidirect
148. #66922C23semidirect
150. C4×Dic22C23semidirect
151. C11×C4⋊C8C23semidirect
152. C11×C4⋊C8C23semidirect
155. C11×C22⋊C8C23semidirect
156. C4×C8×C11C23semidirect
157. C4×C8×C11C23semidirect
160. #66885C23semidirect
161. #66885C23semidirect
162. #66885C23semidirect
163. #66882C23semidirect
164. #66881C23semidirect
165. #66880C23semidirect
271. #2975D11semidirect
297. C2×C4×C11AGL(1,ℤ/8)semidirect
385. #436C2×D11semidirect
386. #436C2×D11semidirect
387. #431C2×D11semidirect
388. #431C2×D11semidirect
390. #407C2×D11semidirect
445. C2×M16C22×D11semidirect
506. C4⋊C8C22×D11semidirect
507. C4⋊C8C22×D11semidirect
516. C22⋊C8C22×D11semidirect
517. C4×C8C22×D11semidirect
518. C4×C8C22×D11semidirect
619. C11#61582semidirect
674. C2×C4#66961semidirect

Maximal subgroups

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

subgroupindex
#130824682
C2×D4×D442
#130808592
#130808482
#130802382
#130802182
#130795592
#130795362
#130794322
#130786252
#130786172
#130778462
C11×#29752
#6158211