Finite Group Databasebeta

← #15638611

Subgroups — #15638611

Order 2816.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082419C211yesmaximal, characteristic, complemented
2#13080697C218yesmaximal, complemented
3#13080122C218yesmaximal, complemented
4#13079619C212yesmaximal, complemented
5#13079422C212yesmaximal, complemented
6#13079388C212yesmaximal, complemented
7#13078715C212yesmaximal, complemented
8#13077876C212yesmaximal, complemented
9C2×#10622831C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C2×C11×#546C211yesmaximal, characteristic
12C22×C11×#41C2211yescharacteristic
13C23×D4×C11C2211yescharacteristic
14C11×#546—24no—
15C11×#546C2218yes—
16C2×C11×#124C2211yescharacteristic
17C2×C11×#123—21no—
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×#121—21no—
20C2×C11×#121C2211yescharacteristic
21C2×C11×#120—21no—
22C2×C4×D4×C11C2211yescharacteristic
23C2×C4×D4×C11C2211yescharacteristic
24C22×C11×C22⋊C4—21no—
25C2×#67004C2214yescomplemented
26#10623329—21no—
27C22×#4324C2214yescomplemented
28C2×#66977C2212yes—
29C2×#66977C2212yescomplemented
30#10623074C2214yescomplemented
31#10623070—24no—
32D4×Dic22C2214yescomplemented
33#10623031—21no—
34#10623014—21no—
35#10623014—21no—
36#10623001C2212yescomplemented
37#10622852C2218yescomplemented
38#10622845C2214yescomplemented
39#10622841C2214yescomplemented
40#10622831C2214yes—
41#10622831C2214yes—
42#10622831C2218yescomplemented
43C2×#66896C2214yescomplemented
44#10622820C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2212yes—
46#10622673C2214yescomplemented
47#10622668C2214yescomplemented
48#10622667C2218yescomplemented
49#10622664C2218yescomplemented
50#10622663C2214yescomplemented
51#10622657C2214yescomplemented
52#10622655C2218yescomplemented
53#10622653C2214yescomplemented
54#10622646C2214yescomplemented
55#10622632C2214yescomplemented
56#10622631C2218yescomplemented
57#10622624C2218yescomplemented
58#10622620C2214yescomplemented
59#10622583C2214yescomplemented
60#10622539C2212yescomplemented
61C25×C11—21no—
62C2×C11×#41—22no—
63C2×C11×#41—44no—
64C2×C11×#41C2314yes—
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11—21no—
67C22×D4×C11—21no—
68C22×D4×C11—21no—
69C22×D4×C11—22no—
70C22×D4×C11—44no—
71C22×D4×C11D411yescharacteristic
72C22×D4×C11C2311yescharacteristic
73C22×D4×C11C2314yes—
74C22×D4×C11C2311yescharacteristic
75C23×C4×C11—21no—
76C23×C4×C11—21no—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C22×Dic22C2312yes—
80C22×Dic22C2312yescomplemented
81C11×#124—22no—
82C11×#124C2314yes—
83C11×#123—28no—
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8C2314yes—
86C11×#121—22no—
87C11×#121—28no—
88C11×#121C2314yes—
89C11×#120—28no—
90C4×D4×C11—22no—
91C4×D4×C11D414yes—
92C4×D4×C11C2314yes—
93C4×D4×C11C2314yes—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—28no—
103C2×C11×C22⋊C4D411yescharacteristic
104C2×C11×C22⋊C4D411yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C2×C22⋊Dic11—22no—
107C2×C22⋊Dic11—22no—
108#67004—48no—
109C2×#4326C2318yescomplemented
110D4×Dic11—24no—
111D4×Dic11—24no—
112C2×#4324—48no—
113C2×#4324C2318yes—
114C2×#4324C2318yes—
115#66979—22no—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yescomplemented
118#66977—22no—
119#66977—22no—
120#66977—22no—
121#66977—22no—
122#66977—22no—
123#66977C2314yes—
124#66977C2314yes—
125#66977C2314yescomplemented
126C2×Dic11⋊C4—22no—
127C2×Dic11⋊C4—22no—
128C2×#4318C2314yescomplemented
129C22×C11⋊C8C2314yes—
130#66943—24no—
131#66941—24no—
132#66931—24no—
133#66931—24no—
134#66931—24no—
135#66931—24no—
136#66923—22no—
137#66922C2312yescomplemented
138#66922C2312yescomplemented
139C4×Dic22—22no—
140C4×Dic22C2314yescomplemented
141#66899C2318yescomplemented
142#66896C2318yes—
143#66896C2318yes—
144C22⋊(C11⋊C8)C2314yes—
145C22⋊(C11⋊C8)C2314yes—
146C22⋊(C11⋊C8)C2314yescomplemented
147#66874C2318yescomplemented
148#66871C2318yescomplemented
149C4⋊(C11⋊C8)C2314yescomplemented
150#66867C2314yescomplemented
151#61570—111nomaximal, Sylow
152C24×C11—21no—
153C24×C11—21no—
154C24×C11—24no—
155C24×C11—44no—
156C24×C11—44no—
157C24×C11—82no—
158C24×C11C2×D411yescharacteristic
159C24×C11C2×D411yescharacteristic
160C11×#41—28no—
161C11×#41—44no—
162C11×#41—48no—
163C2×Q8×C11—21no—
164C2×Q8×C11—42no—
165C2×Q8×C11C2412yes—
166C2×D4×C11—24no—
167C2×D4×C11—24no—
168C2×D4×C11—28no—
169C2×D4×C11—24no—
170C2×D4×C11—24no—
171C2×D4×C11—21no—
172C2×D4×C11—24no—
173C2×D4×C11—21no—
174C2×D4×C11—44no—
175C2×D4×C11—42no—
176C2×D4×C11—48no—
177C2×D4×C11—44no—
178C2×D4×C11—44no—
179C2×D4×C11—82no—
180C2×D4×C11C2×D414yes—
181C2×D4×C11C2412yes—
182C2×D4×C11C2412yes—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—24no—
186C22×C4×C11—24no—
187C22×C4×C11—42no—
188C22×C4×C11—42no—
189C22×C4×C11—44no—
190C22×C4×C11—82no—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2411yescharacteristic
198C22×C4×C11C2412yes—
199C22×C4×C11C2412yes—
200C22×Dic11—22no—
201C22×Dic11—22no—
202C22×Dic11—22no—
203C22×Dic11—22no—
204C2×Dic22—22no—
205C2×Dic22—22no—
206C2×Dic22—22no—
207C2×Dic22—44no—
208C2×Dic22—44no—
209C2×Dic22C2414yes—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4C2×D414yes—
213C11×C4⋊C4C2412yes—
214C11×C22⋊C4—24no—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—24no—
217C11×C22⋊C4—24no—
218C11×C22⋊C4—24no—
219C11×C22⋊C4C2×D414yes—
220C11×C22⋊C4C2×D414yes—
221C42×C11C2×D412yes—
222C42×C11C2412yes—
223C22⋊Dic11—24no—
224C22⋊Dic11—24no—
225C22⋊Dic11—24no—
226#4326—48no—
227#4324—216no—
228#4324—48no—
229C4⋊Dic11—22no—
230C4⋊Dic11—22no—
231C4⋊Dic11—22no—
232C4⋊Dic11—22no—
233C4⋊Dic11—22no—
234C4⋊Dic11C2414yes—
235Dic11⋊C4—24no—
236Dic11⋊C4—24no—
237Dic11⋊C4—24no—
238Dic11⋊C4—24no—
239C4×Dic11—24no—
240#4318—44no—
241C2×C11⋊C8—44no—
242C2×C11⋊C8C2418yes—
243#3501—111no—
244C2×#546D1111yescharacteristic
245#3314—118no—
246#3266—118no—
247#3215—112no—
248#3193—112no—
249#3189—112no—
250#3110—112no—
251#3007—112no—
252C2×#450—112no—
253#2973—111no—
254C23×C11—24no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—22no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—48no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—48no—
268C23×C11—42no—
269C23×C11—84no—
270C23×C11—816no—
271C23×C11#13714yescomplemented
272C23×C11C22×D412yes—
273C23×C11C22×D411yescharacteristic
274C23×C11C22×D412yes—
275Q8×C11—24no—
276Q8×C11—42no—
277D4×C11—24no—
278D4×C11—28no—
279D4×C11—22no—
280D4×C11—24no—
281D4×C11—48no—
282D4×C11—42no—
283D4×C11—48no—
284D4×C11—84no—
285D4×C11H(5,𝔽2)14yes—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—41no—
293C2×C4×C11—42no—
294C2×C4×C11—41no—
295C2×C4×C11—42no—
296C2×C4×C11—41no—
297C2×C4×C11—48no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—84no—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C2511yescharacteristic
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—82no—
310C2×Dic11—82no—
311C2×Dic11—82no—
312C2×Dic11—82no—
313Dic22—28no—
314Dic22—82no—
315Dic22—82no—
316Dic22—82no—
317C11⋊C8—28no—
318C22×#41C2×D1111yescharacteristic
319C23×D4C2×D1111yescharacteristic
320C2×#137—114no—
321C22×SD16—114no—
322#554—114no—
323#554—224no—
324D4×Q8—114no—
325#546—24no—
326#546C2×D1118yes—
327#544—221no—
328#543—221no—
329#543—221no—
330#533—112no—
331C2×#124C2×D1111yescharacteristic
332C2×#123—21no—
333C2×C22⋊Q8—112no—
334C2×C22⋊Q8—112no—
335C2×C22⋊Q8C2×D1111yescharacteristic
336C2×#121—21no—
337C2×#121C2×D1111yescharacteristic
338C2×#120—21no—
339#518—221no—
340C2×C4×D4C2×D1111yescharacteristic
341C2×C4×D4C2×D1111yescharacteristic
342C22×C22⋊C4—21no—
343#497—114no—
344#489—114no—
345#484—114no—
346#484—114no—
347#480—114no—
348#474—114no—
349#468—118no—
350#467—118no—
351#464—118no—
352#461—114no—
353#452—118no—
354#451—114no—
355#451—114no—
356#450—114no—
357#450—114no—
358#450—118no—
359#448—114no—
360#440—118no—
361#435—118no—
362#432—112no—
363#417—114no—
364C2×#102—114no—
365#407—112no—
366C2×C22⋊C8—112no—
367C22×C11—21no—
368C22×C11—22no—
369C22×C11—21no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—24no—
374C22×C11—22no—
375C22×C11—44no—
376C22×C11—48no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—82no—
383C22×C11—816no—
384C22×C11—84no—
385C22×C11C2×#13712yes—
386C22×C11C2×#13714yes—
387C22×C11C23×D411yescharacteristic
388C4×C11—22no—
389C4×C11—22no—
390C4×C11—21no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11C2×H(5,𝔽2)12yes—
396Dic11—44no—
397Dic11—44no—
398C25—21no—
399C2×#41—22no—
400C2×#41—44no—
401C2×#41C22×D1114yes—
402C22×Q8—112no—
403C22×Q8—112no—
404C22×Q8C22×D1111yescharacteristic
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—22no—
409C22×D4—44no—
410C22×D4C22⋊D1111yescharacteristic
411C22×D4C22×D1111yescharacteristic
412C22×D4C22×D1114yes—
413C22×D4C22×D1111yescharacteristic
414C23×C4—21no—
415C23×C4—21no—
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418#137—448no—
419C2×Q16—118no—
420C2×SD16—118no—
421C2×SD16—118no—
422C2×SD16—448no—
423C2×M16—114no—
424C22×C8—114no—
425C4⋊Q8—112no—
426C4⋊Q8—112no—
427C4⋊Q8—224no—
428#125—224no—
429#125—222no—
430#124—22no—
431#124C22×D1114yes—
432#123—28no—
433C22⋊Q8—22no—
434C22⋊Q8—114no—
435C22⋊Q8—114no—
436C22⋊Q8—114no—
437C22⋊Q8—222no—
438C22⋊Q8—222no—
439C22⋊Q8—222no—
440C22⋊Q8—222no—
441C22⋊Q8—222no—
442C22⋊Q8—224no—
443C22⋊Q8—224no—
444C22⋊Q8—224no—
445C22⋊Q8—224no—
446C22⋊Q8C22×D1114yes—
447#121—22no—
448#121—28no—
449#121C22×D1114yes—
450#120—28no—
451C4×Q8—114no—
452C4×Q8—222no—
453C4×D4—22no—
454C4×D4—224no—
455C4×D4—224no—
456C4×D4C22⋊D1114yes—
457C4×D4C22×D1114yes—
458C4×D4C22×D1114yes—
459#117—222no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4—112no—
463C2×C4⋊C4—222no—
464C2×C4⋊C4—222no—
465C2×C4⋊C4C22⋊D1111yescharacteristic
466C2×C4⋊C4C22×D1111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—28no—
473C2×C22⋊C4—222no—
474C2×C22⋊C4—222no—
475C2×C22⋊C4C22⋊D1111yescharacteristic
476C2×C22⋊C4C22⋊D1111yescharacteristic
477C2×C42C22×D1111yescharacteristic
478#107—118no—
479C4⋊C8—114no—
480#103—118no—
481#103—118no—
482#102—118no—
483#102—118no—
484C22⋊C8—114no—
485C22⋊C8—114no—
486C22⋊C8—114no—
487#97—114no—
488C2×C11—22no—
489C2×C11—24no—
490C2×C11—42no—
491C2×C11—44no—
492C2×C11—82no—
493C2×C11#348411yescharacteristic
494C2×C11C22×#13711yescharacteristic
495C2×C11#358511yescharacteristic
496C24—21no—
497C24—21no—
498C24—24no—
499C24—44no—
500C24—44no—
501C24—82no—
502C24C2×C22⋊D1111yescharacteristic
503C24C2×C22⋊D1111yescharacteristic
504#41—28no—
505#41—44no—
506#41—48no—
507C2×Q8—21no—
508C2×Q8—42no—
509C2×Q8—114no—
510C2×Q8—222no—
511C2×Q8—222no—
512C2×Q8—222no—
513C2×Q8—444no—
514C2×Q8—444no—
515C2×Q8C23×D1112yes—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—28no—
519C2×D4—24no—
520C2×D4—24no—
521C2×D4—21no—
522C2×D4—24no—
523C2×D4—21no—
524C2×D4—44no—
525C2×D4—42no—
526C2×D4—48no—
527C2×D4—44no—
528C2×D4—44no—
529C2×D4—82no—
530C2×D4C2×C22⋊D1114yes—
531C2×D4C23×D1112yes—
532C2×D4C23×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—44no—
540C22×C4—82no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1112yes—
550C22×C4C2×C22⋊D1112yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1112yes—
553C22×C4C23×D1112yes—
554Q16—448no—
555SD16—2216no—
556SD16—448no—
557M16—444no—
558C2×C8—118no—
559C2×C8—444no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—114no—
563C4⋊C4—222no—
564C4⋊C4—222no—
565C4⋊C4—224no—
566C4⋊C4—224no—
567C4⋊C4—224no—
568C4⋊C4—222no—
569C4⋊C4—222no—
570C4⋊C4—224no—
571C4⋊C4—222no—
572C4⋊C4C2×C22⋊D1114yes—
573C4⋊C4C23×D1112yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—224no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4C2×C22⋊D1114yes—
583C22⋊C4C2×C22⋊D1114yes—
584C42—224no—
585C42C2×C22⋊D1112yes—
586C42C23×D1112yes—
587C11#6157011yescharacteristic, complemented, Sylow
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—48no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—48no—
602C23—42no—
603C23—84no—
604C23—816no—
605C23#6700414yescomplemented
606C23C22×C22⋊D1112yes—
607C23C22×C22⋊D1112yes—
608C23C22×C22⋊D1111yescharacteristic
609Q8—24no—
610Q8—42no—
611Q8—228no—
612Q8—882no—
613Q8—882no—
614Q8—882no—
615D4—24no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—42no—
621D4—48no—
622D4—84no—
623D4#6703714yes—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—84no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—882no—
642C2×C4—882no—
643C2×C4—882no—
644C2×C4—882no—
645C2×C4C22×C22⋊D1112yes—
646C2×C4C22×C22⋊D1111yescharacteristic
647C2×C4C22×C22⋊D1112yes—
648C2×C4C22×C22⋊D1112yes—
649C2×C4C22×C22⋊D1112yes—
650C2×C4C24×D1111yescharacteristic
651C8—228no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—24no—
659C22—22no—
660C22—44no—
661C22—48no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—82no—
668C22—816no—
669C22—84no—
670C22C2×#6700412yes—
671C22C2×#6700414yes—
672C22C23×C22⋊D1111yescharacteristic
673C4—22no—
674C4—22no—
675C4—21no—
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—444no—
681C4—444no—
682C4C2×#6703712yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—44no—
687C2—82no—
688C2#1308225111yescharacteristic
689C2C22×#6700411yescharacteristic
690C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
Fitting, prime radicalC2×C11×#546C2
socleC22×C11C23×D4
hypercenterC2×#546D11
hypocenterC11#61570
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082419C2semidirect
2. #13080697C2semidirect
3. #13080122C2semidirect
4. #13079619C2semidirect
5. #13079422C2semidirect
6. #13079388C2semidirect
7. #13078715C2semidirect
8. #13077876C2semidirect
9. C2×#10622831C2semidirect
10. #13077645C2semidirect
25. C2×#67004C22semidirect
27. C22×#4324C22semidirect
29. C2×#66977C22semidirect
30. #10623074C22semidirect
32. D4×Dic22C22semidirect
36. #10623001C22semidirect
37. #10622852C22semidirect
38. #10622845C22semidirect
39. #10622841C22semidirect
42. #10622831C22semidirect
43. C2×#66896C22semidirect
44. #10622820C22semidirect
46. #10622673C22semidirect
47. #10622668C22semidirect
48. #10622667C22semidirect
49. #10622664C22semidirect
50. #10622663C22semidirect
51. #10622657C22semidirect
52. #10622655C22semidirect
53. #10622653C22semidirect
54. #10622646C22semidirect
55. #10622632C22semidirect
56. #10622631C22semidirect
57. #10622624C22semidirect
58. #10622620C22semidirect
59. #10622583C22semidirect
60. #10622539C22semidirect
80. C22×Dic22C23semidirect
109. C2×#4326C23semidirect
117. C2×C4⋊Dic11C23semidirect
125. #66977C23semidirect
128. C2×#4318C23semidirect
137. #66922C23semidirect
138. #66922C23semidirect
140. C4×Dic22C23semidirect
141. #66899C23semidirect
146. C22⋊(C11⋊C8)C23semidirect
147. #66874C23semidirect
148. #66871C23semidirect
149. C4⋊(C11⋊C8)C23semidirect
150. #66867C23semidirect
271. C23×C11#137semidirect
587. C11#61570semidirect
605. C23#67004semidirect

Maximal subgroups

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

subgroupindex
#130824192
#130806972
#130801222
#130796192
#130794222
#130793882
#130787152
#130778762
C2×#106228312
#130776452
C2×C11×#5462
#6157011