Finite Group Databasebeta

← #27086855

Subgroups — #27086855

Order 12032.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689634C212yesmaximal, complemented
2#20254181C214yesmaximal, complemented
3#20254171C214yesmaximal, complemented
4#20254163C211yesmaximal, characteristic, complemented
5#20254155C214yesmaximal, complemented
6#20254146C212yesmaximal, complemented
7#20254139C211yesmaximal, characteristic, complemented
8#20253303C214yesmaximal, complemented
9#20252969C214yesmaximal, complemented
10#20252610C214yesmaximal, complemented
11C22×C22⋊C8×C47C211yesmaximal, characteristic, complemented
12C22×#10625350C2212yescomplemented
13C2×#13094046C2214yescomplemented
14#15689634—22no—
15#15689634—22no—
16#15689634—22no—
17#15689634—22no—
18#15689634C2214yes—
19#15689634C2214yes—
20#15689634C2214yescomplemented
21#15689634C2214yescomplemented
22C2×#13094007—22no—
23C2×#13094003C2212yes—
24C2×#13094003C2212yescomplemented
25C2×#13093998C2212yes—
26C2×#13093998C2212yescomplemented
27C2×#13093993—22no—
28C2×C4×C22⋊D47—22no—
29C2×C4×C22⋊D47—22no—
30C2×#13093983C2212yescomplemented
31#15689465C2218yescomplemented
32#15689459C2214yescomplemented
33#15689454C2214yescomplemented
34#15689448C2218yescomplemented
35#15689442C2214yescomplemented
36#15689437C2214yescomplemented
37#15689364C2214yescomplemented
38#15689364C2214yescomplemented
39#15689359C2214yescomplemented
40#15689359C2214yescomplemented
41#15689352C2218yescomplemented
42#15689352C2218yescomplemented
43#15689287C2218yescomplemented
44#15689281C2214yescomplemented
45#15689276C2214yescomplemented
46#15689270C2218yescomplemented
47#15689264C2214yescomplemented
48#15689259C2214yescomplemented
49#15689161C2214yescomplemented
50#15689120C2218yescomplemented
51C24×C4×C47C2211yescharacteristic
52C23×C8×C47C2212yescomplemented
53C2×C22⋊C8×C47C2211yescharacteristic
54C2×C22⋊C8×C47C2211yescharacteristic
55C2×C22⋊C8×C47C2214yescomplemented
56C2×C22⋊C8×C47C2214yescomplemented
57C2×C22⋊C8×C47C2212yescomplemented
58C2×#10625350—22no—
59C2×#10625350—22no—
60C2×#10625350—48no—
61C2×#10625350C2314yes—
62C2×#10625350C2314yes—
63C22×Dic94C2312yes—
64C22×D188C2312yes—
65C22×C22⋊D47—22no—
66C22×C22⋊D47—22no—
67C22×C22⋊D47—22no—
68C22×C4×D47—22no—
69#13094046—48no—
70C2×Dic188C2314yescomplemented
71C2×#10625325C2318yescomplemented
72C2×D376C2314yescomplemented
73#13094007—24no—
74#13094007—24no—
75#13094007—24no—
76#13094007—24no—
77#13094003—22no—
78#13094003—22no—
79#13094003—22no—
80#13094003—22no—
81#13094003C2314yes—
82#13094003C2314yes—
83#13094003C2314yes—
84#13094003C2314yes—
85#13093998—22no—
86#13093998—22no—
87#13093998—22no—
88#13093998—22no—
89#13093998C2314yes—
90#13093998C2314yes—
91#13093998C2314yes—
92#13093998C2314yes—
93#13093993—24no—
94#13093993—24no—
95#13093993—24no—
96#13093993—24no—
97C4×C22⋊D47—24no—
98C4×C22⋊D47—24no—
99C4×C22⋊D47—24no—
100C4×C22⋊D47—24no—
101C4×C22⋊D47—24no—
102C4×C22⋊D47—24no—
103C4×C22⋊D47—24no—
104C4×C22⋊D47—24no—
105#13093983—22no—
106#13093983—22no—
107#13093983C2314yes—
108#13093983C2314yes—
109C2×C4⋊Dic47C2312yes—
110C2×C4⋊Dic47C2312yes—
111C2×Dic47⋊C4—22no—
112C2×Dic47⋊C4—22no—
113C2×C22⋊Dic47—22no—
114C2×C22⋊Dic47—22no—
115C2×C22⋊Dic47—22no—
116C2×(C2×D47)⋊C4—22no—
117C2×(C2×D47)⋊C4—22no—
118C2×C4×Dic47—22no—
119#13093958C2314yescomplemented
120#13093958C2314yescomplemented
121#13093956C2318yescomplemented
122#13093949C2318yescomplemented
123#13093949C2318yescomplemented
124#13093946C2318yescomplemented
125#13093946C2318yescomplemented
126C25×C47D411yescharacteristic
127C23×C4×C47—44no—
128C23×C4×C47D411yescharacteristic
129C23×C4×C47D412yes—
130C23×C4×C47D412yes—
131C23×C4×C47D411yescharacteristic
132C23×C4×C47D411yescharacteristic
133C23×C4×C47C2312yes—
134C23×C4×C47C2311yescharacteristic
135C23×C4×C47C2311yescharacteristic
136C23×C4×C47C2312yes—
137C23×C4×C47C2311yescharacteristic
138C22×C8×C47—44no—
139C22×C8×C47C2314yes—
140C22×C8×C47C2312yes—
141C22×C8×C47C2314yes—
142C22×C8×C47C2312yes—
143C22⋊C8×C47C2314yes—
144C22⋊C8×C47C2314yes—
145C22⋊C8×C47C2318yes—
146C24×C47—24no—
147C24×C47—42no—
148C24×C47—42no—
149C24×C47C2×D411yescharacteristic
150C24×C47C2×D412yes—
151C24×C47C2×D412yes—
152C24×C47C2×D411yescharacteristic
153C24×C47C2×D411yescharacteristic
154C23×D47—22no—
155C22×C4×C47—24no—
156C22×C4×C47—28no—
157C22×C4×C47—42no—
158C22×C4×C47—44no—
159C22×C4×C47—42no—
160C22×C4×C47—42no—
161C22×C4×C47—44no—
162C22×C4×C47—42no—
163C22×C4×C47—42no—
164C22×C4×C47—44no—
165C22×C4×C47C2×D412yes—
166C22×C4×C47C2×D412yes—
167C22×C4×C47C2×D412yes—
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D412yes—
172C22×C4×C47C2×D412yes—
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D412yes—
175C22×C4×C47C2×D412yes—
176C22×C4×C47C2×D411yescharacteristic
177C22×C4×C47C2×D412yes—
178C22×C4×C47C2411yescharacteristic
179C22×C4×C47C2411yescharacteristic
180C22×C4×C47C2412yes—
181C22×C4×C47C2412yes—
182C22×C4×C47C2411yescharacteristic
183C2×C22⋊D47—24no—
184C2×C22⋊D47—24no—
185C2×C22⋊D47—24no—
186C2×C22⋊D47—24no—
187C2×C22⋊D47—24no—
188C2×C22⋊D47—24no—
189C2×C22⋊D47—48no—
190C2×C22⋊D47—48no—
191C2×C22⋊D47—48no—
192C22×Dic47—22no—
193C22×Dic47—22no—
194C22×Dic47—22no—
195#10625350—216no—
196#10625350—48no—
197#10625350—48no—
198#10625350—48no—
199C2×D188—22no—
200C2×D188—44no—
201C2×D188C2414yes—
202C2×C4×D47—24no—
203C2×C4×D47—24no—
204C2×C4×D47—48no—
205C2×Dic94—22no—
206C2×Dic94—44no—
207C2×Dic94C2414yes—
208C2×C8×C47—28no—
209C2×C8×C47—42no—
210C2×C8×C47—44no—
211C2×C8×C47—42no—
212C2×C8×C47C2414yes—
213C2×C8×C47C2414yes—
214C22⋊Dic47—24no—
215C22⋊Dic47—24no—
216C22⋊Dic47—24no—
217C22⋊Dic47—24no—
218C22⋊Dic47—24no—
219C22⋊Dic47—24no—
220(C2×D47)⋊C4—24no—
221(C2×D47)⋊C4—24no—
222(C2×D47)⋊C4—24no—
223(C2×D47)⋊C4—24no—
224C4⋊Dic47—22no—
225C4⋊Dic47—22no—
226C4⋊Dic47C2414yes—
227C4⋊Dic47C2414yes—
228Dic47⋊C4—24no—
229Dic47⋊C4—24no—
230Dic47⋊C4—24no—
231Dic47⋊C4—24no—
232C4×Dic47—24no—
233C4×Dic47—24no—
234Dic188—44no—
235D376—44no—
236#10625325—48no—
237C23×C47—22no—
238C23×C47—22no—
239C23×C47—22no—
240C23×C47—24no—
241C23×C47—24no—
242C23×C47—24no—
243C23×C47—22no—
244C23×C47—24no—
245C23×C47—41no—
246C23×C47—42no—
247C23×C47—41no—
248C23×C47—41no—
249C23×C47—42no—
250C23×C47—41no—
251C23×C47—416no—
252C23×C47#13514yescomplemented
253C23×C47C22×D412yes—
254C23×C47C22×D411yescharacteristic
255C23×C47C22×D411yescharacteristic
256C23×C47C22×D412yes—
257C23×C47C22×D411yescharacteristic
258C22×D47—24no—
259C22×D47—44no—
260C22×D47—44no—
261C22×D47—44no—
262C2×C4×C47—24no—
263C2×C4×C47—22no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—22no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—24no—
271C2×C4×C47—24no—
272C2×C4×C47—41no—
273C2×C4×C47—42no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—41no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D411yescharacteristic
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C47C22×D412yes—
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47H(5,𝔽2)14yes—
285C2×C4×C47C2511yescharacteristic
286C22⋊D47—48no—
287C22⋊D47—48no—
288C22⋊D47—48no—
289C22⋊D47—48no—
290C22⋊D47—48no—
291C22⋊D47—48no—
292C2×Dic47—24no—
293C2×Dic47—24no—
294C2×Dic47—24no—
295C2×Dic47—44no—
296C2×Dic47—44no—
297C2×Dic47—44no—
298D188—28no—
299D188—44no—
300C4×D47—48no—
301C4×D47—48no—
302Dic94—28no—
303Dic94—44no—
304C8×C47—24no—
305C8×C47—24no—
306#60734—471nomaximal, Sylow
307C22×C47—28no—
308C22×C47—22no—
309C22×C47—21no—
310C22×C47—21no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—22no—
314C22×C47—21no—
315C22×C47—21no—
316C22×C47—22no—
317C22×C47—22no—
318C22×C47—22no—
319C22×C47—44no—
320C22×C47—48no—
321C22×C47—48no—
322C22×C47—44no—
323C22×C47#53412yes—
324C22×C47C2×#13514yes—
325C22×C47C2×#13512yes—
326C22×C47#57512yes—
327C22×C47C23×D411yescharacteristic
328C2×D47—44no—
329C2×D47—44no—
330C2×D47—44no—
331C2×D47—88no—
332C4×C47—22no—
333C4×C47—22no—
334C4×C47—21no—
335C4×C47—21no—
336C4×C47#53412yes—
337C4×C47C2×H(5,𝔽2)12yes—
338Dic47—44no—
339Dic47—44no—
340Dic47—44no—
341C2×#525—472no—
342#3191—474no—
343#3190—474no—
344#3189—471no—
345#3188—474no—
346#3187—472no—
347#3186—471no—
348#3091—474no—
349#3050—474no—
350#3002—474no—
351C22×C22⋊C8D4711yescharacteristic, complemented
352C2×C47—24no—
353C2×C47—22no—
354C2×C47—22no—
355C2×C47—22no—
356C2×C47—42no—
357C2×C47C2×#53411yescharacteristic
358C2×C47C22×#13511yescharacteristic
359C2×C47C2×#57511yescharacteristic
360D47—84no—
361C22×#41—472no—
362C24×C4C2×D4711yescharacteristic
363C2×#135—474no—
364C23×C8C2×D4712yescomplemented
365#525—474no—
366#525—474no—
367#525—474no—
368#525—474no—
369#525—942no—
370#525—942no—
371#525—942no—
372#525—942no—
373C2×#123—942no—
374C2×C22⋊Q8—472no—
375C2×C22⋊Q8—472no—
376C2×#121—472no—
377C2×#121—472no—
378C2×#120—942no—
379C2×C4×D4—942no—
380C2×C4×D4—942no—
381C2×#117—472no—
382#485—478no—
383#484—474no—
384#483—474no—
385#482—478no—
386#481—474no—
387#480—474no—
388#467—474no—
389#467—474no—
390#466—474no—
391#466—474no—
392#465—478no—
393#465—478no—
394#452—478no—
395#451—474no—
396#450—474no—
397#449—478no—
398#448—474no—
399#447—474no—
400#427—474no—
401#416—478no—
402C2×C22⋊C8C2×D4711yescharacteristic
403C2×C22⋊C8C2×D4711yescharacteristic
404C2×C22⋊C8C2×D4714yescomplemented
405C2×C22⋊C8C2×D4714yescomplemented
406C2×C22⋊C8C2×D4712yescomplemented
407C47#6073411yescharacteristic, complemented, Sylow
408C25D18811yescharacteristic
409C2×#41—474no—
410C2×#41—474no—
411C2×#41—942no—
412C2×#41—942no—
413C2×#41—1888no—
414C22×Q8—472no—
415C22×D4—472no—
416C22×D4—942no—
417C22×D4—942no—
418C22×D4—942no—
419C23×C4—44no—
420C23×C4—942no—
421C23×C4D18811yescharacteristic
422C23×C4D18812yes—
423C23×C4D18812yes—
424C23×C4D18811yescharacteristic
425C23×C4D18811yescharacteristic
426C23×C4C22×D4712yes—
427C23×C4C22×D4711yescharacteristic
428C23×C4C22×D4711yescharacteristic
429C23×C4C22×D4712yes—
430C23×C4C22×D4711yescharacteristic
431#135—1888no—
432C2×Q16—474no—
433C2×SD16—478no—
434C2×D8—474no—
435C22×C8—44no—
436C22×C8C22×D4714yes—
437C22×C8C22×D4712yes—
438C22×C8C22×D4712yes—
439C22×C8C22×D4714yes—
440#123—944no—
441#123—944no—
442#123—944no—
443#123—944no—
444C22⋊Q8—474no—
445C22⋊Q8—474no—
446C22⋊Q8—474no—
447C22⋊Q8—474no—
448C22⋊Q8—942no—
449C22⋊Q8—942no—
450C22⋊Q8—942no—
451C22⋊Q8—942no—
452#121—474no—
453#121—474no—
454#121—474no—
455#121—474no—
456#121—942no—
457#121—942no—
458#121—942no—
459#121—942no—
460#120—944no—
461#120—944no—
462#120—944no—
463#120—944no—
464C4×D4—944no—
465C4×D4—944no—
466C4×D4—944no—
467C4×D4—944no—
468C4×D4—944no—
469C4×D4—944no—
470C4×D4—944no—
471C4×D4—944no—
472#117—474no—
473#117—474no—
474#117—942no—
475#117—942no—
476C2×C4⋊C4—472no—
477C2×C4⋊C4—472no—
478C2×C4⋊C4—942no—
479C2×C4⋊C4—942no—
480C2×C22⋊C4—942no—
481C2×C22⋊C4—942no—
482C2×C22⋊C4—942no—
483C2×C22⋊C4—942no—
484C2×C22⋊C4—942no—
485C2×C42—942no—
486#107—474no—
487#107—474no—
488#106—478no—
489#103—478no—
490#103—478no—
491#102—478no—
492#102—478no—
493C22⋊C8C22×D4714yes—
494C22⋊C8C22×D4714yes—
495C22⋊C8C22×D4718yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—942no—
500C24C2×D18811yescharacteristic
501C24C2×D18812yes—
502C24C2×D18812yes—
503C24C2×D18811yescharacteristic
504C24C2×D18811yescharacteristic
505#41—9416no—
506#41—1888no—
507#41—1888no—
508#41—1888no—
509C2×Q8—474no—
510C2×Q8—942no—
511C2×Q8—1884no—
512C2×D4—474no—
513C2×D4—944no—
514C2×D4—944no—
515C2×D4—944no—
516C2×D4—944no—
517C2×D4—944no—
518C2×D4—944no—
519C2×D4—942no—
520C2×D4—1884no—
521C2×D4—1888no—
522C2×D4—1888no—
523C2×D4—1888no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—42no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—944no—
538C22×C4—944no—
539C22×C4—1888no—
540C22×C4C2×D18812yes—
541C22×C4C2×D18811yescharacteristic
542C22×C4C2×D18812yes—
543C22×C4C2×D18812yes—
544C22×C4C2×D18811yescharacteristic
545C22×C4C2×D18811yescharacteristic
546C22×C4C2×D18812yes—
547C22×C4C2×D18812yes—
548C22×C4C2×D18811yescharacteristic
549C22×C4C2×D18812yes—
550C22×C4C2×D18812yes—
551C22×C4C2×D18811yescharacteristic
552C22×C4C2×D18812yes—
553C22×C4C23×D4712yes—
554C22×C4C23×D4712yes—
555C22×C4C23×D4711yescharacteristic
556C22×C4C23×D4711yescharacteristic
557C22×C4C23×D4711yescharacteristic
558Q16—1884no—
559SD16—1888no—
560D8—1884no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D4714yes—
566C2×C8C23×D4714yes—
567C4⋊C4—474no—
568C4⋊C4—474no—
569C4⋊C4—944no—
570C4⋊C4—944no—
571C4⋊C4—944no—
572C4⋊C4—944no—
573C4⋊C4—942no—
574C4⋊C4—942no—
575C22⋊C4—944no—
576C22⋊C4—944no—
577C22⋊C4—944no—
578C22⋊C4—944no—
579C22⋊C4—944no—
580C22⋊C4—944no—
581C22⋊C4—944no—
582C22⋊C4—944no—
583C22⋊C4—944no—
584C22⋊C4—944no—
585C42—944no—
586C42—944no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—944no—
603C23—1884no—
604C23—1884no—
605C23—1884no—
606C23#1309404614yescomplemented
607C23C22×D18812yes—
608C23C22×D18811yescharacteristic
609C23C22×D18812yes—
610C23C22×D18811yescharacteristic
611C23C22×D18811yescharacteristic
612Q8—948no—
613Q8—1884no—
614D4—948no—
615D4—1884no—
616D4—1888no—
617D4—1888no—
618D4—1888no—
619D4—1888no—
620D4—1888no—
621D4—1888no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—944no—
640C2×C4—944no—
641C2×C4—944no—
642C2×C4—1888no—
643C2×C4—1884no—
644C2×C4—1884no—
645C2×C4—1884no—
646C2×C4—1888no—
647C2×C4C22×D18812yes—
648C2×C4C22×D18811yescharacteristic
649C2×C4C22×D18811yescharacteristic
650C2×C4C22×D18812yes—
651C2×C4C22×D18811yescharacteristic
652C2×C4#1309406914yes—
653C2×C4C24×D4711yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—21no—
658C22—21no—
659C22—22no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—3768no—
673C22—1884no—
674C22—1884no—
675C22—1884no—
676C22#1568968512yes—
677C22C2×#1309404614yes—
678C22C2×#1309404612yes—
679C22#1568992312yes—
680C22C23×D18811yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—1884no—
686C4—1884no—
687C4—1884no—
688C4#1568968512yes—
689C4C2×#1309406912yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—3764no—
696C2C2×#1568968511yescharacteristic
697C2C22×#1309404611yescharacteristic
698C2C2×#1568992311yescharacteristic
subgroupG/H
centerC2×C4C22×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC22×C22⋊C8×C47C2
socleC22×C47C23×D4
hypercenterC22×C22⋊C8D47
hypocenterC47#60734
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#15689634C2semidirect
2. #20254181C2semidirect
3. #20254171C2semidirect
4. #20254163C2semidirect
5. #20254155C2semidirect
6. #20254146C2semidirect
7. #20254139C2semidirect
8. #20253303C2semidirect
9. #20252969C2semidirect
10. #20252610C2semidirect
11. C22×C22⋊C8×C47C2semidirect
12. C22×#10625350C22semidirect
13. C2×#13094046C22semidirect
20. #15689634C22semidirect
21. #15689634C22semidirect
24. C2×#13094003C22semidirect
26. C2×#13093998C22semidirect
30. C2×#13093983C22semidirect
31. #15689465C22semidirect
32. #15689459C22semidirect
33. #15689454C22semidirect
34. #15689448C22semidirect
35. #15689442C22semidirect
36. #15689437C22semidirect
37. #15689364C22semidirect
38. #15689364C22semidirect
39. #15689359C22semidirect
40. #15689359C22semidirect
41. #15689352C22semidirect
42. #15689352C22semidirect
43. #15689287C22semidirect
44. #15689281C22semidirect
45. #15689276C22semidirect
46. #15689270C22semidirect
47. #15689264C22semidirect
48. #15689259C22semidirect
49. #15689161C22semidirect
50. #15689120C22semidirect
52. C23×C8×C47C22semidirect
55. C2×C22⋊C8×C47C22semidirect
56. C2×C22⋊C8×C47C22semidirect
57. C2×C22⋊C8×C47C22semidirect
70. C2×Dic188C23semidirect
71. C2×#10625325C23semidirect
72. C2×D376C23semidirect
119. #13093958C23semidirect
120. #13093958C23semidirect
121. #13093956C23semidirect
122. #13093949C23semidirect
123. #13093949C23semidirect
124. #13093946C23semidirect
125. #13093946C23semidirect
252. C23×C47#135semidirect
351. C22×C22⋊C8D47semidirect
364. C23×C8C2×D47semidirect
404. C2×C22⋊C8C2×D47semidirect
405. C2×C22⋊C8C2×D47semidirect
406. C2×C22⋊C8C2×D47semidirect
407. C47#60734semidirect
606. C23#13094046semidirect

Maximal subgroups

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

subgroupindex
C2×#156896342
#202541812
#202541712
#202541632
#202541552
#202541462
#202541392
#202533032
#202529692
#202526102
C22×C22⋊C8×C472
#6073447