Finite Group Databasebeta

← #15638605

Subgroups — #15638605

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
1C2×#10623081C211yesmaximal, characteristic
2#13080691C218yesmaximal, complemented
3#13080127C218yesmaximal, complemented
4#13079615C212yesmaximal, complemented
5#13079418C212yesmaximal, complemented
6#13079388C212yesmaximal, complemented
7#13078711C212yesmaximal, complemented
8#13077874C212yesmaximal, complemented
9C2×#10622659C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C11×#3501C211yesmaximal, characteristic, complemented
12C22×#4339C2211yescharacteristic
13C23×D44C2211yescharacteristic
14C11×#554—24no—
15C11×#554C2214yescomplemented
16D4×Q8×C11C2214yescomplemented
17C11×#544—21no—
18C11×#543—21no—
19C11×#543—21no—
20C11×#533C2212yescomplemented
21C2×C11×C22⋊Q8C2212yes—
22C2×C11×C22⋊Q8C2212yescomplemented
23C11×#518—21no—
24C2×C4×D4×C11C2211yescharacteristic
25C2×#66995C2214yescomplemented
26C22×#4325C2214yescomplemented
27C2×#66990—21no—
28C2×#66983C2211yescharacteristic
29C2×#66977C2211yescharacteristic
30#10623081—24no—
31#10623081C2218yes—
32C2×#66947—21no—
33C2×#66937—21no—
34C2×C22⋊C4×D11—21no—
35C2×#66928C2211yescharacteristic
36C2×C4×D44C2211yescharacteristic
37#10622841C2214yescomplemented
38#10622840C2214yescomplemented
39#10622820C2212yescomplemented
40C2×C22⋊(C11⋊C8)C2212yes—
41#10622702C2214yescomplemented
42#10622700C2214yescomplemented
43#10622699C2214yescomplemented
44#10622696C2214yescomplemented
45#10622664C2218yescomplemented
46#10622663C2214yescomplemented
47#10622662C2218yescomplemented
48#10622660C2218yescomplemented
49#10622659C2214yes—
50#10622659C2214yes—
51#10622659C2218yescomplemented
52#10622657C2214yescomplemented
53#10622641C2218yescomplemented
54#10622639C2218yescomplemented
55#10622624C2218yescomplemented
56#10622583C2214yescomplemented
57#10622580C2214yescomplemented
58#10622579C2214yescomplemented
59C2×#66873C2214yescomplemented
60#10622539C2212yescomplemented
61C24×D11—21no—
62C22×Q8×C11C2312yes—
63C22×Q8×C11C2312yescomplemented
64C22×D4×C11D411yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C22×C22⋊D11—21no—
68C22×C22⋊D11—21no—
69C2×#4339—22no—
70C2×#4339—44no—
71C2×#4339C2314yes—
72C22×D44—21no—
73C22×D44—22no—
74C22×D44—44no—
75C22×D44C2311yescharacteristic
76C22×D44C2314yes—
77C22×D44C2311yescharacteristic
78C22×C4×D11—21no—
79C22×C4×D11—21no—
80C22×Dic22C2311yescharacteristic
81C11×C4⋊Q8—24no—
82C11×C4⋊Q8C2312yescomplemented
83C11×C4⋊Q8C2312yescomplemented
84C11×#125—24no—
85C11×#125—22no—
86C11×C22⋊Q8—22no—
87C11×C22⋊Q8—22no—
88C11×C22⋊Q8—22no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8—24no—
92C11×C22⋊Q8—24no—
93C11×C22⋊Q8—24no—
94C11×C22⋊Q8—24no—
95C11×C22⋊Q8C2314yes—
96C11×C22⋊Q8C2314yes—
97C11×C22⋊Q8C2314yescomplemented
98C4×Q8×C11—22no—
99C4×Q8×C11C2314yescomplemented
100C4×D4×C11—24no—
101C4×D4×C11—24no—
102C4×D4×C11D414yes—
103C4×D4×C11C2314yes—
104C11×#117—22no—
105C2×C11×C4⋊C4—22no—
106C2×C11×C4⋊C4—22no—
107C2×C11×C4⋊C4D411yescharacteristic
108C2×C11×C4⋊C4C2312yes—
109C2×C11×C4⋊C4C2312yescomplemented
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4D411yescharacteristic
113C2×C11×C22⋊C4D411yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×C22⋊Dic11—21no—
116C2×#4326C2318yescomplemented
117#66995—48no—
118C2×#4325—48no—
119C2×#4325C2318yes—
120C2×#4325C2318yes—
121#66990—28no—
122#66983—22no—
123#66983C2314yes—
124C2×(C2×D11)⋊C4—21no—
125C2×(C2×D11)⋊C4—21no—
126C2×(C2×D11)⋊C4—21no—
127C2×(C2×D11)⋊C4—21no—
128C2×C4⋊Dic11C2311yescharacteristic
129#66977—22no—
130#66977C2314yes—
131C2×Dic11⋊C4—21no—
132C2×#4318C2314yescomplemented
133C22×C11⋊C8C2314yes—
134#66947—28no—
135#66937—28no—
136C22⋊C4×D11—28no—
137#66928—22no—
138#66928C2314yes—
139C4×D44—22no—
140C4×D44C2314yes—
141#66899C2318yescomplemented
142C22⋊(C11⋊C8)C2314yes—
143C22⋊(C11⋊C8)C2314yes—
144C22⋊(C11⋊C8)C2314yescomplemented
145#66874C2318yescomplemented
146#66873C2318yes—
147#66873C2318yes—
148#66871C2318yescomplemented
149C4⋊(C11⋊C8)C2314yescomplemented
150#66867C2314yescomplemented
151#61570—111nomaximal, Sylow
152C24×C11C2×D411yescharacteristic
153C24×C11C2×D411yescharacteristic
154C23×D11—21no—
155C23×D11—21no—
156C23×D11—24no—
157C23×D11—44no—
158C23×D11—44no—
159C23×D11—82no—
160C2×Q8×C11—22no—
161C2×Q8×C11—22no—
162C2×Q8×C11—22no—
163C2×Q8×C11—44no—
164C2×Q8×C11—44no—
165C2×Q8×C11C2414yes—
166C2×D4×C11—24no—
167C2×D4×C11C2×D414yes—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D412yes—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D412yes—
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C2×C22⋊D11—24no—
184C2×C22⋊D11—24no—
185C2×C22⋊D11—44no—
186C2×C22⋊D11—82no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189#4339—28no—
190#4339—44no—
191#4339—48no—
192C2×D44—24no—
193C2×D44—28no—
194C2×D44—21no—
195C2×D44—21no—
196C2×D44—24no—
197C2×D44—44no—
198C2×D44—42no—
199C2×D44—44no—
200C2×D44—48no—
201C2×D44C2412yes—
202C2×D44C2412yes—
203C2×C4×D11—24no—
204C2×C4×D11—24no—
205C2×C4×D11—44no—
206C2×C4×D11—82no—
207C2×Dic22—21no—
208C2×Dic22—42no—
209C2×Dic22C2412yes—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4C2×D414yes—
220C11×C4⋊C4C2414yes—
221C11×C22⋊C4—24no—
222C11×C22⋊C4—24no—
223C11×C22⋊C4—24no—
224C11×C22⋊C4C2×D414yes—
225C11×C22⋊C4C2×D414yes—
226C42×C11—24no—
227C42×C11C2×D412yes—
228C42×C11C2412yes—
229C22⋊Dic11—24no—
230#4326—48no—
231#4325—216no—
232#4325—48no—
233(C2×D11)⋊C4—24no—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237C4⋊Dic11—21no—
238C4⋊Dic11C2412yes—
239Dic11⋊C4—24no—
240#4318—44no—
241C2×C11⋊C8—44no—
242C2×C11⋊C8C2418yes—
243#3501D1111yescharacteristic, complemented
244C2×#546—111no—
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—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11#13714yescomplemented
260C23×C11C22×D412yes—
261C23×C11C22×D412yes—
262C23×C11C22×D411yescharacteristic
263C22×D11—24no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—48no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—48no—
272C22×D11—42no—
273C22×D11—84no—
274C22×D11—816no—
275Q8×C11—28no—
276Q8×C11—82no—
277Q8×C11—82no—
278Q8×C11—82no—
279D4×C11—28no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—42no—
289C2×C4×C11—41no—
290C2×C4×C11—42no—
291C2×C4×C11—82no—
292C2×C4×C11—82no—
293C2×C4×C11—82no—
294C2×C4×C11—82no—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D412yes—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C2511yescharacteristic
301C22⋊D11—48no—
302C22⋊D11—84no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307D44—24no—
308D44—22no—
309D44—24no—
310D44—48no—
311D44—42no—
312D44H(5,𝔽2)14yes—
313C4×D11—48no—
314C4×D11—84no—
315Dic22—24no—
316Dic22—42no—
317C11⋊C8—28no—
318C22×#41—111no—
319C23×D4—111no—
320C2×#137—114no—
321C22×SD16—114no—
322#554—24no—
323#554C2×D1114yescomplemented
324D4×Q8C2×D1114yescomplemented
325#546—118no—
326#546—224no—
327#544—21no—
328#543—21no—
329#543—21no—
330#533C2×D1112yescomplemented
331C2×#124—111no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8C2×D1112yes—
335C2×C22⋊Q8C2×D1112yescomplemented
336C2×#121—111no—
337C2×#121—221no—
338C2×#120—221no—
339#518—21no—
340C2×C4×D4—111no—
341C2×C4×D4C2×D1111yescharacteristic
342C22×C22⋊C4—221no—
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—22no—
374C22×C11—44no—
375C22×C11—82no—
376C22×C11C2×#13712yes—
377C22×C11C2×#13714yes—
378C22×C11C23×D411yescharacteristic
379C2×D11—24no—
380C2×D11—48no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—816no—
387C2×D11—84no—
388C4×C11—22no—
389C4×C11—21no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—44no—
394C4×C11—44no—
395C4×C11C2×H(5,𝔽2)12yes—
396Dic11—42no—
397Dic11—42no—
398C25—221no—
399C2×#41—114no—
400C2×#41—222no—
401C2×#41—444no—
402C22×Q8—111no—
403C22×Q8C22×D1112yes—
404C22×Q8C22×D1112yescomplemented
405C22×D4—111no—
406C22×D4—114no—
407C22×D4—111no—
408C22×D4—221no—
409C22×D4—221no—
410C22×D4—221no—
411C22×D4—222no—
412C22×D4—444no—
413C22×D4C22⋊D1111yescharacteristic
414C23×C4—221no—
415C23×C4—221no—
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—24no—
426C4⋊Q8C22×D1112yescomplemented
427C4⋊Q8C22×D1112yescomplemented
428#125—24no—
429#125—22no—
430#124—114no—
431#124—222no—
432#123—228no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—24no—
439C22⋊Q8—24no—
440C22⋊Q8—24no—
441C22⋊Q8—24no—
442C22⋊Q8—114no—
443C22⋊Q8—222no—
444C22⋊Q8C22×D1114yes—
445C22⋊Q8C22×D1114yes—
446C22⋊Q8C22×D1114yescomplemented
447#121—114no—
448#121—222no—
449#121—228no—
450#120—228no—
451C4×Q8—22no—
452C4×Q8C22×D1114yescomplemented
453C4×D4—24no—
454C4×D4—24no—
455C4×D4—114no—
456C4×D4—222no—
457C4×D4C22⋊D1114yes—
458C4×D4C22×D1114yes—
459#117—22no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4C22⋊D1111yescharacteristic
465C2×C4⋊C4C22×D1112yes—
466C2×C4⋊C4C22×D1112yescomplemented
467C2×C22⋊C4—22no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—228no—
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#348411yescharacteristic
492C2×C11C22×#13711yescharacteristic
493C2×C11#358511yescharacteristic
494D11—44no—
495D11—82no—
496C24—221no—
497C24—221no—
498C24—224no—
499C24—444no—
500C24—444no—
501C24—882no—
502C24C2×C22⋊D1111yescharacteristic
503C24C2×C22⋊D1111yescharacteristic
504#41—228no—
505#41—444no—
506#41—448no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—112no—
513C2×Q8—221no—
514C2×Q8—442no—
515C2×Q8C23×D1114yes—
516C2×D4—24no—
517C2×D4—112no—
518C2×D4—112no—
519C2×D4—224no—
520C2×D4—228no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—221no—
524C2×D4—224no—
525C2×D4—221no—
526C2×D4—444no—
527C2×D4—442no—
528C2×D4—448no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4—882no—
532C2×D4C2×C22⋊D1114yes—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—224no—
542C22×C4—224no—
543C22×C4—444no—
544C22×C4—882no—
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—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—24no—
569C4⋊C4—112no—
570C4⋊C4—221no—
571C4⋊C4—224no—
572C4⋊C4C2×C22⋊D1114yes—
573C4⋊C4C23×D1114yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4C2×C22⋊D1114yes—
583C22⋊C4C2×C22⋊D1114yes—
584C42—24no—
585C42C2×C22⋊D1112yes—
586C42C23×D1112yes—
587C11#6157011yescharacteristic, complemented, Sylow
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—224no—
594C23—222no—
595C23—222no—
596C23—448no—
597C23—442no—
598C23—442no—
599C23—442no—
600C23—442no—
601C23—448no—
602C23—442no—
603C23—884no—
604C23—8816no—
605C23#6699514yescomplemented
606C23C22×C22⋊D1112yes—
607C23C22×C22⋊D1111yescharacteristic
608C23C22×C22⋊D1112yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—224no—
614Q8—442no—
615D4—28no—
616D4—114no—
617D4—224no—
618D4—222no—
619D4—224no—
620D4—448no—
621D4—442no—
622D4—448no—
623D4—884no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—448no—
642C2×C4—442no—
643C2×C4—442no—
644C2×C4—884no—
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—22no—
659C22—44no—
660C22—82no—
661C22—224no—
662C22—448no—
663C22—442no—
664C22—442no—
665C22—442no—
666C22—442no—
667C22—442no—
668C22—8816no—
669C22—884no—
670C22C2×#6699512yes—
671C22C2×#6699514yes—
672C22C23×C22⋊D1111yescharacteristic
673C4—22no—
674C4—21no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—442no—
681C4—442no—
682C4D11×H(5,𝔽2)12yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—444no—
687C2—882no—
688C2#1308224711yescharacteristic
689C2C22×#6699511yescharacteristic
690C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3501C2
socleC22×C11C23×D4
prime radicalC2×#10623081C2
hypercenter#3501D11
hypocenterC11#61570
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #13080691C2semidirect
3. #13080127C2semidirect
4. #13079615C2semidirect
5. #13079418C2semidirect
6. #13079388C2semidirect
7. #13078711C2semidirect
8. #13077874C2semidirect
9. C2×#10622659C2semidirect
10. #13077645C2semidirect
11. C11×#3501C2semidirect
15. C11×#554C22semidirect
16. D4×Q8×C11C22semidirect
20. C11×#533C22semidirect
22. C2×C11×C22⋊Q8C22semidirect
25. C2×#66995C22semidirect
26. C22×#4325C22semidirect
37. #10622841C22semidirect
38. #10622840C22semidirect
39. #10622820C22semidirect
41. #10622702C22semidirect
42. #10622700C22semidirect
43. #10622699C22semidirect
44. #10622696C22semidirect
45. #10622664C22semidirect
46. #10622663C22semidirect
47. #10622662C22semidirect
48. #10622660C22semidirect
51. #10622659C22semidirect
52. #10622657C22semidirect
53. #10622641C22semidirect
54. #10622639C22semidirect
55. #10622624C22semidirect
56. #10622583C22semidirect
57. #10622580C22semidirect
58. #10622579C22semidirect
59. C2×#66873C22semidirect
60. #10622539C22semidirect
63. C22×Q8×C11C23semidirect
82. C11×C4⋊Q8C23semidirect
83. C11×C4⋊Q8C23semidirect
97. C11×C22⋊Q8C23semidirect
99. C4×Q8×C11C23semidirect
109. C2×C11×C4⋊C4C23semidirect
116. C2×#4326C23semidirect
132. C2×#4318C23semidirect
141. #66899C23semidirect
144. C22⋊(C11⋊C8)C23semidirect
145. #66874C23semidirect
148. #66871C23semidirect
149. C4⋊(C11⋊C8)C23semidirect
150. #66867C23semidirect
243. #3501D11semidirect
259. C23×C11#137semidirect
323. #554C2×D11semidirect
324. D4×Q8C2×D11semidirect
330. #533C2×D11semidirect
335. C2×C22⋊Q8C2×D11semidirect
404. C22×Q8C22×D11semidirect
426. C4⋊Q8C22×D11semidirect
427. C4⋊Q8C22×D11semidirect
446. C22⋊Q8C22×D11semidirect
452. C4×Q8C22×D11semidirect
466. C2×C4⋊C4C22×D11semidirect
587. C11#61570semidirect
605. C23#66995semidirect

Maximal subgroups

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

subgroupindex
C2×#106230812
#130806912
#130801272
#130796152
#130794182
#130793882
#130787112
#130778742
C2×#106226592
#130776452
C11×#35012
#6157011