Finite Group Databasebeta

← #15638810

Subgroups — #15638810

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
2#13080858C214yesmaximal, complemented
3#13080847C214yesmaximal, complemented
4#13080232C214yesmaximal, complemented
5#13080212C214yesmaximal, complemented
6#13079557C211yesmaximal, characteristic, complemented
7#13079534C211yesmaximal, characteristic, complemented
8#13079430C214yesmaximal, complemented
9#13078624C211yesmaximal, characteristic, complemented
10#13078616C211yesmaximal, characteristic, complemented
11#13077843C214yesmaximal, complemented
12#13077657C211yesmaximal, characteristic, complemented
13C2×D42×C11C211yesmaximal, characteristic, complemented
14C23×D4×C11—21no—
15C23×D4×C11C2212yes—
16D42×C11—22no—
17D42×C11—22no—
18D42×C11C2214yes—
19D42×C11C2214yes—
20C2×C11×#127C2211yescharacteristic
21C2×C11×#121—21no—
22C2×C11×#121C2212yes—
23C2×C11×#120—22no—
24C2×C4×D4×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26#10623336—21no—
27C2×#66985C2218yescomplemented
28#10623322C2214yescomplemented
29#10623094C2212yescomplemented
30#10623090—22no—
31#10623089—22no—
32#10623084C2212yescomplemented
33#10623082C2212yescomplemented
34#10623073C2212yescomplemented
35#10623035—21no—
36#10623025—22no—
37#10623008C2211yescharacteristic, complemented
38#10623001C2211yescharacteristic, complemented
39#10622831C2212yes—
40#10622831C2214yescomplemented
41#10622831C2218yescomplemented
42#10622830C2212yes—
43#10622830C2214yescomplemented
44#10622830C2218yescomplemented
45#10622828C2218yescomplemented
46#10622820C2214yescomplemented
47#10622689C2212yescomplemented
48#10622688C2214yescomplemented
49#10622686C2212yescomplemented
50#10622685C2214yescomplemented
51#10622683C2212yescomplemented
52#10622683C2212yescomplemented
53#10622655C2218yescomplemented
54#10622652C2218yescomplemented
55#10622650C2218yescomplemented
56#10622648C2218yescomplemented
57#10622632C2212yescomplemented
58C4×#4324C2214yescomplemented
59#10622628C2212yescomplemented
60C4×#4323C2214yescomplemented
61#10622625C2214yescomplemented
62#10622625C2214yescomplemented
63#10622621C2212yescomplemented
64#10622620C2212yescomplemented
65#10622584C2212yescomplemented
66#10622580C2212yescomplemented
67#10622538C2211yescharacteristic, complemented
68#10622538C2211yescharacteristic, complemented
69C25×C11—22no—
70C22×D4×C11—22no—
71C22×D4×C11—24no—
72C22×D4×C11—24no—
73C22×D4×C11—22no—
74C22×D4×C11—21no—
75C22×D4×C11—24no—
76C22×D4×C11—21no—
77C22×D4×C11—48no—
78C22×D4×C11—48no—
79C22×D4×C11D411yescharacteristic
80C22×D4×C11C2311yescharacteristic
81C22×D4×C11C2318yes—
82C22×D4×C11C2312yes—
83C23×C4×C11—21no—
84C23×C4×C11C2312yes—
85C2×#4339—21no—
86C2×#4339C2314yescomplemented
87C11×#127—21no—
88C11×#127—21no—
89C11×#127C2312yes—
90C11×#127C2312yes—
91C11×#121—24no—
92C11×#121—24no—
93C11×#121—24no—
94C11×#121C2318yes—
95C11×#120—28no—
96C11×#120—28no—
97C4×D4×C11—21no—
98C4×D4×C11—21no—
99C4×D4×C11D412yes—
100C4×D4×C11D412yes—
101C4×D4×C11C2312yes—
102C4×D4×C11C2312yes—
103C4×D4×C11C2312yes—
104C4×D4×C11C2312yes—
105C2×C11×C4⋊C4D411yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—22no—
109C2×C11×C22⋊C4D412yes—
110C2×C42×C11C2311yescharacteristic
111#67006—24no—
112#66993—22no—
113#66991—22no—
114#66991—22no—
115#66989—22no—
116C2×#4324C2314yes—
117C2×#4324C2318yescomplemented
118#66985—416no—
119C2×#4323C2314yes—
120C2×#4323C2318yescomplemented
121#66983—21no—
122#66983C2312yes—
123#66983C2314yescomplemented
124#66982—24no—
125C4×C22⋊D11—24no—
126C4×C22⋊D11—24no—
127#66979—21no—
128#66979C2314yescomplemented
129#66977—21no—
130#66977C2312yes—
131#66977C2314yescomplemented
132C2×#4318C2318yescomplemented
133#66946—22no—
134#66945—22no—
135C4⋊C4×D11—22no—
136#66940—22no—
137#66938—24no—
138#66937—24no—
139#66936—24no—
140#66932—24no—
141#66928—21no—
142#66927C2311yescharacteristic, complemented
143C4×D44—21no—
144C4×D44C2312yescomplemented
145#66923—21no—
146#66922C2311yescharacteristic, complemented
147#66922C2311yescharacteristic, complemented
148#66922C2311yescharacteristic, complemented
149C4×Dic22—21no—
150C4×Dic22C2312yescomplemented
151#66896C2314yes—
152#66896C2314yes—
153#66896C2318yescomplemented
154#66896C2318yescomplemented
155C22⋊(C11⋊C8)C2312yes—
156C22⋊(C11⋊C8)C2312yes—
157C22⋊(C11⋊C8)C2318yescomplemented
158#66874C2314yescomplemented
159#66873C2314yescomplemented
160#66872C2314yescomplemented
161#66871C2314yescomplemented
162C4⋊(C11⋊C8)C2312yescomplemented
163C4⋊(C11⋊C8)C2312yescomplemented
164C4×C11⋊C8C2312yescomplemented
165C4×C11⋊C8C2312yescomplemented
166#61582—111nomaximal, Sylow
167C24×C11—21no—
168C24×C11—22no—
169C24×C11—28no—
170C24×C11—48no—
171C24×C11—48no—
172C24×C11—84no—
173C24×C11C2×D412yes—
174C2×D4×C11—24no—
175C2×D4×C11—216no—
176C2×D4×C11—28no—
177C2×D4×C11—24no—
178C2×D4×C11—21no—
179C2×D4×C11—28no—
180C2×D4×C11—22no—
181C2×D4×C11—22no—
182C2×D4×C11—22no—
183C2×D4×C11—22no—
184C2×D4×C11—22no—
185C2×D4×C11—48no—
186C2×D4×C11—44no—
187C2×D4×C11—416no—
188C2×D4×C11—416no—
189C2×D4×C11—416no—
190C2×D4×C11—48no—
191C2×D4×C11—48no—
192C2×D4×C11—44no—
193C2×D4×C11—82no—
194C2×D4×C11C2×D412yes—
195C2×D4×C11C2×D412yes—
196C2×D4×C11C2414yes—
197C2×D4×C11C2412yes—
198C22×C4×C11—21no—
199C22×C4×C11—22no—
200C22×C4×C11—22no—
201C22×C4×C11—44no—
202C22×C4×C11—44no—
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D412yes—
205C22×C4×C11C2×D414yes—
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2411yescharacteristic
208C22×C4×C11C2414yes—
209C2×C22⋊D11—22no—
210C2×C22⋊D11—24no—
211C2×C22⋊D11—24no—
212#4339—48no—
213#4339—44no—
214C2×D44—21no—
215C2×D44—21no—
216C2×D44C2412yes—
217C2×C4×D11—22no—
218C2×C4×D11—24no—
219C2×Dic22—21no—
220C2×Dic22—21no—
221C2×Dic22C2412yes—
222C11×C4⋊C4—21no—
223C11×C4⋊C4C2×D412yes—
224C11×C4⋊C4C2×D412yes—
225C11×C4⋊C4C2412yes—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—28no—
229C11×C22⋊C4C2×D414yes—
230C11×C22⋊C4C2×D414yes—
231C42×C11C2×D411yescharacteristic
232C42×C11C2×D411yescharacteristic
233C42×C11C2411yescharacteristic
234C42×C11C2411yescharacteristic
235C22⋊Dic11—24no—
236C22⋊Dic11—24no—
237C22⋊Dic11—22no—
238#4324—28no—
239#4324—48no—
240#4323—28no—
241#4323—48no—
242(C2×D11)⋊C4—22no—
243(C2×D11)⋊C4—22no—
244(C2×D11)⋊C4—24no—
245C4⋊Dic11—21no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11C2412yes—
250C4⋊Dic11C2412yes—
251Dic11⋊C4—22no—
252Dic11⋊C4—22no—
253Dic11⋊C4—24no—
254C4×Dic11—22no—
255C4×Dic11—24no—
256#4318—48no—
257C2×C11⋊C8C2414yes—
258C2×C11⋊C8C2414yes—
259#3506—111no—
260C2×D42D1111yescharacteristic, complemented
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#2975—111no—
272C23×C11—24no—
273C23×C11—24no—
274C23×C11—22no—
275C23×C11—24no—
276C23×C11—42no—
277C23×C11—42no—
278C23×C11—416no—
279C23×C11—42no—
280C23×C11—44no—
281C23×C11—416no—
282C23×C11—44no—
283C23×C11—42no—
284C23×C11—44no—
285C23×C11—88no—
286C23×C11—832no—
287C23×C11C22×D414yes—
288C23×C11C22×D411yescharacteristic
289C22×D11—22no—
290D4×C11—24no—
291D4×C11—24no—
292D4×C11—24no—
293D4×C11—22no—
294D4×C11—28no—
295D4×C11—416no—
296D4×C11—44no—
297D4×C11—416no—
298D4×C11—44no—
299D4×C11—44no—
300D4×C11—82no—
301D4×C11—82no—
302D4×C11H(5,𝔽2)14yes—
303C2×C4×C11—28no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—44no—
307C2×C4×C11—42no—
308C2×C4×C11—41no—
309C2×C4×C11—42no—
310C2×C4×C11—44no—
311C2×C4×C11—44no—
312C2×C4×C11AGL(1,ℤ/8)14yescomplemented
313C2×C4×C11C22×D414yes—
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C22×D411yescharacteristic
316C2×C4×C11C22×D411yescharacteristic
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C2511yescharacteristic
320C22⋊D11—44no—
321C22⋊D11—84no—
322C22⋊D11—84no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326D44—24no—
327D44—42no—
328D44—81no—
329C4×D11—44no—
330C4×D11—84no—
331Dic22—24no—
332Dic22—42no—
333Dic22—81no—
334C11⋊C8—24no—
335C11⋊C8—24no—
336C23×D4—21no—
337C23×D4C2×D1112yes—
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—22no—
346D42—22no—
347D42C2×D1114yes—
348D42C2×D1114yes—
349#538—222no—
350#535—221no—
351#533—111no—
352#532—111no—
353C2×#127C2×D1111yescharacteristic
354#525—114no—
355C2×#121—21no—
356C2×#121C2×D1112yes—
357C2×#120—22no—
358#520—221no—
359C2×C4×D4C2×D1111yescharacteristic
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—114no—
375#459—112no—
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#436—114no—
386#436—114no—
387#431—111no—
388#431—111no—
389#418—118no—
390#407—114no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—24no—
394C22×C11—24no—
395C22×C11—24no—
396C22×C11—24no—
397C22×C11—48no—
398C22×C11—48no—
399C22×C11—42no—
400C22×C11—42no—
401C22×C11—44no—
402C22×C11—44no—
403C22×C11—44no—
404C22×C11—88no—
405C22×C11—832no—
406C22×C11C2×AGL(1,ℤ/8)12yes—
407C22×C11C23×D411yescharacteristic
408C2×D11—42no—
409C2×D11—42no—
410C2×D11—42no—
411C4×C11—21no—
412C4×C11—21no—
413C4×C11—21no—
414C4×C11—24no—
415C4×C11—42no—
416C4×C11C2×AGL(1,ℤ/8)12yes—
417C4×C11C2×AGL(1,ℤ/8)12yes—
418C4×C11C2×H(5,𝔽2)12yes—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422C25—22no—
423C2×#41—114no—
424C2×#41—221no—
425C22×D4—22no—
426C22×D4—24no—
427C22×D4—24no—
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—24no—
431C22×D4—21no—
432C22×D4—48no—
433C22×D4—48no—
434C22×D4C22⋊D1111yescharacteristic
435C22×D4C22×D1111yescharacteristic
436C22×D4C22×D1118yes—
437C22×D4C22×D1112yes—
438C23×C4—21no—
439C23×C4C22×D1112yes—
440AGL(1,ℤ/8)—4416no—
441C2×SD16—114no—
442C2×SD16—118no—
443C2×D8—114no—
444C2×D8—118no—
445C2×M16—118no—
446C4⋊Q8—111no—
447C4⋊Q8—111no—
448C4⋊Q8—111no—
449#127—21no—
450#127—21no—
451#127—111no—
452#127—222no—
453#127C22×D1112yes—
454#127C22×D1112yes—
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—24no—
466#121—24no—
467#121—24no—
468#121—112no—
469#121—114no—
470#121—222no—
471#121—222no—
472#121—221no—
473#121—224no—
474#121C22×D1118yes—
475#120—28no—
476#120—28no—
477#120—224no—
478C4×Q8—112no—
479C4×Q8—222no—
480C4×Q8—221no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—112no—
484C4×D4—224no—
485C4×D4—224no—
486C4×D4—222no—
487C4×D4—221no—
488C4×D4C22⋊D1112yes—
489C4×D4C22⋊D1112yes—
490C4×D4C22×D1112yes—
491C4×D4C22×D1112yes—
492C4×D4C22×D1112yes—
493C4×D4C22×D1112yes—
494#117—114no—
495#117—221no—
496#117—222no—
497C2×C4⋊C4—222no—
498C2×C4⋊C4C22⋊D1111yescharacteristic
499C2×C4⋊C4C22×D1111yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C22⋊D1112yes—
503C2×C42C22×D1111yescharacteristic
504#107—114no—
505#106—114no—
506C4⋊C8—112no—
507C4⋊C8—112no—
508#103—114no—
509#102—114no—
510#102—114no—
511#102—118no—
512#102—118no—
513#102—114no—
514C22⋊C8—112no—
515C22⋊C8—112no—
516C22⋊C8—118no—
517C4×C8—112no—
518C4×C8—112no—
519C2×C11—22no—
520C2×C11—44no—
521C2×C11—44no—
522C2×C11—84no—
523C2×C11#348411yescharacteristic
524C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
525C2×C11#358511yescharacteristic
526D11—82no—
527C24—21no—
528C24—22no—
529C24—28no—
530C24—48no—
531C24—48no—
532C24—84no—
533C24C2×C22⋊D1112yes—
534#41—448no—
535#41—444no—
536C2×Q8—112no—
537C2×Q8—221no—
538C2×Q8—221no—
539C2×D4—24no—
540C2×D4—216no—
541C2×D4—28no—
542C2×D4—24no—
543C2×D4—21no—
544C2×D4—28no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—48no—
551C2×D4—44no—
552C2×D4—416no—
553C2×D4—416no—
554C2×D4—416no—
555C2×D4—48no—
556C2×D4—48no—
557C2×D4—44no—
558C2×D4—82no—
559C2×D4—112no—
560C2×D4—222no—
561C2×D4—224no—
562C2×D4—224no—
563C2×D4—221no—
564C2×D4—221no—
565C2×D4C2×C22⋊D1112yes—
566C2×D4C2×C22⋊D1112yes—
567C2×D4C23×D1114yes—
568C2×D4C23×D1112yes—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—44no—
573C22×C4—44no—
574C22×C4—222no—
575C22×C4—224no—
576C22×C4C2×C22⋊D1111yescharacteristic
577C22×C4C2×C22⋊D1112yes—
578C22×C4C2×C22⋊D1114yes—
579C22×C4C2×C22⋊D1111yescharacteristic
580C22×C4C23×D1111yescharacteristic
581C22×C4C23×D1114yes—
582SD16—228no—
583SD16—448no—
584D8—228no—
585D8—448no—
586M16—448no—
587C2×C8—114no—
588C2×C8—114no—
589C4⋊C4—21no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—221no—
593C4⋊C4—224no—
594C4⋊C4—221no—
595C4⋊C4—222no—
596C4⋊C4—221no—
597C4⋊C4—222no—
598C4⋊C4—221no—
599C4⋊C4C2×C22⋊D1112yes—
600C4⋊C4C2×C22⋊D1112yes—
601C4⋊C4C23×D1112yes—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—28no—
605C22⋊C4—224no—
606C22⋊C4—222no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—222no—
610C22⋊C4—222no—
611C22⋊C4C2×C22⋊D1114yes—
612C22⋊C4C2×C22⋊D1114yes—
613C42—224no—
614C42—222no—
615C42C2×C22⋊D1111yescharacteristic
616C42C2×C22⋊D1111yescharacteristic
617C42C23×D1111yescharacteristic
618C42C23×D1111yescharacteristic
619C11#6158211yescharacteristic, complemented, Sylow
620C23—24no—
621C23—24no—
622C23—22no—
623C23—24no—
624C23—42no—
625C23—42no—
626C23—416no—
627C23—42no—
628C23—44no—
629C23—416no—
630C23—44no—
631C23—42no—
632C23—44no—
633C23—88no—
634C23—832no—
635C23—222no—
636C23C22×C22⋊D1114yes—
637C23C22×C22⋊D1111yescharacteristic
638Q8—224no—
639Q8—442no—
640Q8—881no—
641D4—24no—
642D4—24no—
643D4—24no—
644D4—22no—
645D4—28no—
646D4—416no—
647D4—44no—
648D4—416no—
649D4—44no—
650D4—44no—
651D4—82no—
652D4—82no—
653D4—224no—
654D4—444no—
655D4—442no—
656D4—881no—
657D4—884no—
658D4—884no—
659D4#6703714yes—
660C2×C4—28no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—444no—
673C2×C4—884no—
674C2×C4#6698514yescomplemented
675C2×C4C22×C22⋊D1114yes—
676C2×C4C22×C22⋊D1111yescharacteristic
677C2×C4C22×C22⋊D1111yescharacteristic
678C2×C4C22×C22⋊D1111yescharacteristic
679C2×C4C22×C22⋊D1111yescharacteristic
680C2×C4C22×C22⋊D1111yescharacteristic
681C2×C4C24×D1111yescharacteristic
682C8—224no—
683C8—224no—
684C22—21no—
685C22—21no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—48no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—44no—
696C22—44no—
697C22—88no—
698C22—832no—
699C22—442no—
700C22—442no—
701C22—442no—
702C22C2×#6698512yes—
703C22C23×C22⋊D1111yescharacteristic
704C4—21no—
705C4—21no—
706C4—21no—
707C4—24no—
708C4—42no—
709C4—442no—
710C4—442no—
711C4—442no—
712C4C2×#6698512yes—
713C4C2×#6698512yes—
714C4C2×#6703712yes—
715C2—22no—
716C2—44no—
717C2—44no—
718C2—84no—
719C2—882no—
720C2#1308225111yescharacteristic
721C2C22×#6698511yescharacteristic
722C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×D42×C11C2
socleC22×C11C23×D4
hypercenterC2×D42D11
hypocenterC11#61582
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #13082468C2semidirect
2. #13080858C2semidirect
3. #13080847C2semidirect
4. #13080232C2semidirect
5. #13080212C2semidirect
6. #13079557C2semidirect
7. #13079534C2semidirect
8. #13079430C2semidirect
9. #13078624C2semidirect
10. #13078616C2semidirect
11. #13077843C2semidirect
12. #13077657C2semidirect
13. C2×D42×C11C2semidirect
27. C2×#66985C22semidirect
28. #10623322C22semidirect
29. #10623094C22semidirect
32. #10623084C22semidirect
33. #10623082C22semidirect
34. #10623073C22semidirect
37. #10623008C22semidirect
38. #10623001C22semidirect
40. #10622831C22semidirect
41. #10622831C22semidirect
43. #10622830C22semidirect
44. #10622830C22semidirect
45. #10622828C22semidirect
46. #10622820C22semidirect
47. #10622689C22semidirect
48. #10622688C22semidirect
49. #10622686C22semidirect
50. #10622685C22semidirect
51. #10622683C22semidirect
52. #10622683C22semidirect
53. #10622655C22semidirect
54. #10622652C22semidirect
55. #10622650C22semidirect
56. #10622648C22semidirect
57. #10622632C22semidirect
58. C4×#4324C22semidirect
59. #10622628C22semidirect
60. C4×#4323C22semidirect
61. #10622625C22semidirect
62. #10622625C22semidirect
63. #10622621C22semidirect
64. #10622620C22semidirect
65. #10622584C22semidirect
66. #10622580C22semidirect
67. #10622538C22semidirect
68. #10622538C22semidirect
86. C2×#4339C23semidirect
117. C2×#4324C23semidirect
120. C2×#4323C23semidirect
123. #66983C23semidirect
128. #66979C23semidirect
131. #66977C23semidirect
132. C2×#4318C23semidirect
142. #66927C23semidirect
144. C4×D44C23semidirect
146. #66922C23semidirect
147. #66922C23semidirect
148. #66922C23semidirect
150. C4×Dic22C23semidirect
153. #66896C23semidirect
154. #66896C23semidirect
157. C22⋊(C11⋊C8)C23semidirect
158. #66874C23semidirect
159. #66873C23semidirect
160. #66872C23semidirect
161. #66871C23semidirect
162. C4⋊(C11⋊C8)C23semidirect
163. C4⋊(C11⋊C8)C23semidirect
164. C4×C11⋊C8C23semidirect
165. C4×C11⋊C8C23semidirect
260. C2×D42D11semidirect
312. C2×C4×C11AGL(1,ℤ/8)semidirect
619. C11#61582semidirect
674. C2×C4#66985semidirect

Maximal subgroups

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

subgroupindex
#130824682
#130808582
#130808472
#130802322
#130802122
#130795572
#130795342
#130794302
#130786242
#130786162
#130778432
#130776572
C2×D42×C112
#6158211