Finite Group Databasebeta

← #27101110

Subgroups — #27101110

Order 12032.

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×#15689769C211yesmaximal, characteristic
2#20255463C218yesmaximal, complemented
3#20254899C218yesmaximal, complemented
4#20254387C212yesmaximal, complemented
5#20254190C212yesmaximal, complemented
6#20254160C212yesmaximal, complemented
7#20253483C212yesmaximal, complemented
8#20252646C212yesmaximal, complemented
9C2×#15689273C212yesmaximal, complemented
10#20252417C211yesmaximal, characteristic, complemented
11C47×#3501C211yesmaximal, characteristic, complemented
12C22×#10625350C2211yescharacteristic
13C23×D188C2211yescharacteristic
14C2×#13094055C2214yescomplemented
15C22×#10625336C2214yescomplemented
16#15689769—24no—
17#15689769C2218yes—
18C2×#13094012C2211yescharacteristic
19C2×#13094009—21no—
20C2×#13094003C2211yescharacteristic
21C2×#13093998C2211yescharacteristic
22C2×#13093997—21no—
23C2×#13093992—21no—
24C2×C4×D188C2211yescharacteristic
25C2×C22⋊C4×D47—21no—
26#15689515C2214yescomplemented
27#15689485C2214yescomplemented
28#15689458C2214yescomplemented
29#15689456C2214yescomplemented
30#15689436C2214yescomplemented
31#15689400C2214yescomplemented
32#15689371C2218yescomplemented
33#15689362C2218yescomplemented
34#15689345C2218yescomplemented
35#15689325C2214yescomplemented
36#15689283C2218yescomplemented
37#15689279C2214yescomplemented
38#15689278C2214yescomplemented
39#15689273C2214yes—
40#15689273C2214yes—
41#15689273C2218yescomplemented
42#15689262C2214yescomplemented
43#15689221C2218yescomplemented
44#15689195C2218yescomplemented
45#15689180C2212yescomplemented
46#15689122C2214yescomplemented
47C2×#13093944C2214yescomplemented
48#15689087C2212yescomplemented
49C2×C22⋊(C47⋊C8)C2212yes—
50C47×#554—24no—
51C47×#554C2214yescomplemented
52D4×Q8×C47C2214yescomplemented
53C47×#544—21no—
54C47×#543—21no—
55C47×#543—21no—
56C47×#533C2212yescomplemented
57C2×C22⋊Q8×C47C2212yes—
58C2×C22⋊Q8×C47C2212yescomplemented
59C47×#518—21no—
60C2×C4×D4×C47C2211yescharacteristic
61C24×D47—21no—
62C2×#10625350—22no—
63C2×#10625350—44no—
64C2×#10625350C2314yes—
65C22×Dic94C2311yescharacteristic
66C22×D188—22no—
67C22×D188—21no—
68C22×D188—44no—
69C22×D188C2311yescharacteristic
70C22×D188C2314yes—
71C22×D188C2311yescharacteristic
72C22×C22⋊D47—21no—
73C22×C22⋊D47—21no—
74C22×C4×D47—21no—
75C22×C4×D47—21no—
76#13094055—48no—
77C2×#10625337C2318yescomplemented
78C2×#10625336—48no—
79C2×#10625336C2318yes—
80C2×#10625336C2318yes—
81C2×#10625329C2314yescomplemented
82C22×C47⋊C8C2314yes—
83#13094012—22no—
84#13094012C2314yes—
85#13094009—28no—
86#13094003—22no—
87#13094003C2314yes—
88#13093998—22no—
89#13093998C2314yes—
90#13093997—28no—
91#13093992—28no—
92C4×D188—22no—
93C4×D188C2314yes—
94C2×C4⋊Dic47C2311yescharacteristic
95C2×Dic47⋊C4—21no—
96C2×C22⋊Dic47—21no—
97C2×(C2×D47)⋊C4—21no—
98C2×(C2×D47)⋊C4—21no—
99C2×(C2×D47)⋊C4—21no—
100C2×(C2×D47)⋊C4—21no—
101C22⋊C4×D47—28no—
102#13093957C2318yescomplemented
103C4⋊(C47⋊C8)C2314yescomplemented
104#13093948C2318yescomplemented
105#13093947C2318yescomplemented
106#13093944C2318yes—
107#13093944C2318yes—
108C22⋊(C47⋊C8)C2314yes—
109C22⋊(C47⋊C8)C2314yes—
110C22⋊(C47⋊C8)C2314yescomplemented
111#13093935C2314yescomplemented
112C22×Q8×C47C2312yes—
113C22×Q8×C47C2312yescomplemented
114C22×D4×C47D411yescharacteristic
115C23×C4×C47C2311yescharacteristic
116C23×C4×C47C2311yescharacteristic
117C4⋊Q8×C47—24no—
118C4⋊Q8×C47C2312yescomplemented
119C4⋊Q8×C47C2312yescomplemented
120#125×C47—24no—
121#125×C47—22no—
122C22⋊Q8×C47—22no—
123C22⋊Q8×C47—22no—
124C22⋊Q8×C47—22no—
125C22⋊Q8×C47—22no—
126C22⋊Q8×C47—22no—
127C22⋊Q8×C47—24no—
128C22⋊Q8×C47—24no—
129C22⋊Q8×C47—24no—
130C22⋊Q8×C47—24no—
131C22⋊Q8×C47C2314yes—
132C22⋊Q8×C47C2314yes—
133C22⋊Q8×C47C2314yescomplemented
134C4×Q8×C47—22no—
135C4×Q8×C47C2314yescomplemented
136C4×D4×C47—24no—
137C4×D4×C47—24no—
138C4×D4×C47D414yes—
139C4×D4×C47C2314yes—
140#117×C47—22no—
141C2×C4⋊C4×C47—22no—
142C2×C4⋊C4×C47—22no—
143C2×C4⋊C4×C47D411yescharacteristic
144C2×C4⋊C4×C47C2312yes—
145C2×C4⋊C4×C47C2312yescomplemented
146C2×C22⋊C4×C47—22no—
147C2×C22⋊C4×C47—22no—
148C2×C22⋊C4×C47D411yescharacteristic
149C2×C22⋊C4×C47D411yescharacteristic
150C2×C42×C47C2311yescharacteristic
151C24×C47C2×D411yescharacteristic
152C24×C47C2×D411yescharacteristic
153C23×D47—21no—
154C23×D47—21no—
155C23×D47—24no—
156C23×D47—44no—
157C23×D47—44no—
158C23×D47—82no—
159C2×Q8×C47—22no—
160C2×Q8×C47—22no—
161C2×Q8×C47—22no—
162C2×Q8×C47—44no—
163C2×Q8×C47—44no—
164C2×Q8×C47C2414yes—
165C2×D4×C47—24no—
166C2×D4×C47C2×D414yes—
167C22×C4×C47—22no—
168C22×C4×C47—22no—
169C22×C4×C47—22no—
170C22×C4×C47—22no—
171C22×C4×C47—42no—
172C22×C4×C47—42no—
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D411yescharacteristic
175C22×C4×C47C2×D411yescharacteristic
176C22×C4×C47C2×D411yescharacteristic
177C22×C4×C47C2×D412yes—
178C22×C4×C47C2×D412yes—
179C22×C4×C47C2411yescharacteristic
180C22×C4×C47C2412yes—
181C22×C4×C47C2412yes—
182C2×C22⋊D47—24no—
183C2×C22⋊D47—24no—
184C2×C22⋊D47—44no—
185C2×C22⋊D47—82no—
186C22×Dic47—21no—
187C22×Dic47—21no—
188#10625350—28no—
189#10625350—44no—
190#10625350—48no—
191C2×D188—21no—
192C2×D188—24no—
193C2×D188—28no—
194C2×D188—24no—
195C2×D188—21no—
196C2×D188—44no—
197C2×D188—42no—
198C2×D188—48no—
199C2×D188—44no—
200C2×D188C2412yes—
201C2×D188C2412yes—
202C2×C4×D47—24no—
203C2×C4×D47—24no—
204C2×C4×D47—44no—
205C2×C4×D47—82no—
206C2×Dic94—21no—
207C2×Dic94—42no—
208C2×Dic94C2412yes—
209C4⋊C4×C47—24no—
210C4⋊C4×C47—24no—
211C4⋊C4×C47—24no—
212C4⋊C4×C47—22no—
213C4⋊C4×C47—22no—
214C4⋊C4×C47—22no—
215C4⋊C4×C47—22no—
216C4⋊C4×C47—22no—
217C4⋊C4×C47—24no—
218C4⋊C4×C47C2×D414yes—
219C4⋊C4×C47C2414yes—
220C22⋊C4×C47—24no—
221C22⋊C4×C47—24no—
222C22⋊C4×C47—24no—
223C22⋊C4×C47C2×D414yes—
224C22⋊C4×C47C2×D414yes—
225C42×C47—24no—
226C42×C47C2×D412yes—
227C42×C47C2412yes—
228C22⋊Dic47—24no—
229#10625337—48no—
230#10625336—216no—
231#10625336—48no—
232(C2×D47)⋊C4—24no—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236C4⋊Dic47—21no—
237C4⋊Dic47C2412yes—
238Dic47⋊C4—24no—
239#10625329—44no—
240C2×C47⋊C8—44no—
241C2×C47⋊C8C2418yes—
242C23×C47—22no—
243C23×C47—41no—
244C23×C47—41no—
245C23×C47—41no—
246C23×C47—41no—
247C23×C47#13714yescomplemented
248C23×C47C22×D412yes—
249C23×C47C22×D412yes—
250C23×C47C22×D411yescharacteristic
251C22×D47—24no—
252C22×D47—22no—
253C22×D47—22no—
254C22×D47—48no—
255C22×D47—42no—
256C22×D47—42no—
257C22×D47—42no—
258C22×D47—42no—
259C22×D47—48no—
260C22×D47—42no—
261C22×D47—84no—
262C22×D47—816no—
263Q8×C47—28no—
264Q8×C47—82no—
265Q8×C47—82no—
266Q8×C47—82no—
267D4×C47—28no—
268C2×C4×C47—22no—
269C2×C4×C47—24no—
270C2×C4×C47—24no—
271C2×C4×C47—22no—
272C2×C4×C47—24no—
273C2×C4×C47—24no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—42no—
277C2×C4×C47—41no—
278C2×C4×C47—42no—
279C2×C4×C47—82no—
280C2×C4×C47—82no—
281C2×C4×C47—82no—
282C2×C4×C47—82no—
283C2×C4×C47C22×D412yes—
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×D412yes—
286C2×C4×C47C22×D412yes—
287C2×C4×C47C22×D412yes—
288C2×C4×C47C2511yescharacteristic
289C22⋊D47—48no—
290C22⋊D47—84no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295D188—24no—
296D188—22no—
297D188—24no—
298D188—48no—
299D188—42no—
300D188H(5,𝔽2)14yes—
301C4×D47—48no—
302C4×D47—84no—
303Dic94—24no—
304Dic94—42no—
305C47⋊C8—28no—
306#61570—471nomaximal, Sylow
307C22×C47—21no—
308C22×C47—22no—
309C22×C47—21no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—22no—
314C22×C47—44no—
315C22×C47—82no—
316C22×C47C2×#13712yes—
317C22×C47C2×#13714yes—
318C22×C47C23×D411yescharacteristic
319C2×D47—24no—
320C2×D47—48no—
321C2×D47—42no—
322C2×D47—42no—
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—816no—
327C2×D47—84no—
328C4×C47—22no—
329C4×C47—21no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—44no—
334C4×C47—44no—
335C4×C47C2×H(5,𝔽2)12yes—
336Dic47—42no—
337Dic47—42no—
338#3501D4711yescharacteristic, complemented
339C2×#546—471no—
340#3314—478no—
341#3266—478no—
342#3215—472no—
343#3193—472no—
344#3189—472no—
345#3110—472no—
346#3007—472no—
347C2×#450—472no—
348#2973—471no—
349C2×C47—22no—
350C2×C47—24no—
351C2×C47—42no—
352C2×C47#348411yescharacteristic
353C2×C47C22×#13711yescharacteristic
354C2×C47#358511yescharacteristic
355D47—44no—
356D47—82no—
357C22×#41—471no—
358C23×D4—471no—
359C2×#137—474no—
360C22×SD16—474no—
361#554—24no—
362#554C2×D4714yescomplemented
363D4×Q8C2×D4714yescomplemented
364#546—478no—
365#546—944no—
366#544—21no—
367#543—21no—
368#543—21no—
369#533C2×D4712yescomplemented
370C2×#124—471no—
371C2×#123—941no—
372C2×C22⋊Q8—471no—
373C2×C22⋊Q8C2×D4712yes—
374C2×C22⋊Q8C2×D4712yescomplemented
375C2×#121—471no—
376C2×#121—941no—
377C2×#120—941no—
378#518—21no—
379C2×C4×D4—471no—
380C2×C4×D4C2×D4711yescharacteristic
381C22×C22⋊C4—941no—
382#497—474no—
383#489—474no—
384#484—474no—
385#484—474no—
386#480—474no—
387#474—474no—
388#468—478no—
389#467—478no—
390#464—478no—
391#461—474no—
392#452—478no—
393#451—474no—
394#451—474no—
395#450—474no—
396#450—474no—
397#450—478no—
398#448—474no—
399#440—478no—
400#435—478no—
401#432—472no—
402#417—474no—
403C2×#102—474no—
404#407—472no—
405C2×C22⋊C8—472no—
406C47#6157011yescharacteristic, complemented, Sylow
407C25—941no—
408C2×#41—474no—
409C2×#41—942no—
410C2×#41—1884no—
411C22×Q8—471no—
412C22×Q8C22×D4712yes—
413C22×Q8C22×D4712yescomplemented
414C22×D4—471no—
415C22×D4—474no—
416C22×D4—471no—
417C22×D4—941no—
418C22×D4—941no—
419C22×D4—941no—
420C22×D4—942no—
421C22×D4—1884no—
422C22×D4C22⋊D4711yescharacteristic
423C23×C4—941no—
424C23×C4—941no—
425C23×C4C22×D4711yescharacteristic
426C23×C4C22×D4711yescharacteristic
427#137—1888no—
428C2×Q16—478no—
429C2×SD16—478no—
430C2×SD16—478no—
431C2×SD16—1888no—
432C2×M16—474no—
433C22×C8—474no—
434C4⋊Q8—24no—
435C4⋊Q8C22×D4712yescomplemented
436C4⋊Q8C22×D4712yescomplemented
437#125—24no—
438#125—22no—
439#124—474no—
440#124—942no—
441#123—948no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—24no—
448C22⋊Q8—24no—
449C22⋊Q8—24no—
450C22⋊Q8—24no—
451C22⋊Q8—474no—
452C22⋊Q8—942no—
453C22⋊Q8C22×D4714yes—
454C22⋊Q8C22×D4714yes—
455C22⋊Q8C22×D4714yescomplemented
456#121—474no—
457#121—942no—
458#121—948no—
459#120—948no—
460C4×Q8—22no—
461C4×Q8C22×D4714yescomplemented
462C4×D4—24no—
463C4×D4—24no—
464C4×D4—474no—
465C4×D4—942no—
466C4×D4C22⋊D4714yes—
467C4×D4C22×D4714yes—
468#117—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—471no—
472C2×C4⋊C4—941no—
473C2×C4⋊C4C22⋊D4711yescharacteristic
474C2×C4⋊C4C22×D4712yes—
475C2×C4⋊C4C22×D4712yescomplemented
476C2×C22⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—941no—
479C2×C22⋊C4—941no—
480C2×C22⋊C4—941no—
481C2×C22⋊C4—941no—
482C2×C22⋊C4—941no—
483C2×C22⋊C4—948no—
484C2×C22⋊C4C22⋊D4711yescharacteristic
485C2×C22⋊C4C22⋊D4711yescharacteristic
486C2×C42C22×D4711yescharacteristic
487#107—478no—
488C4⋊C8—474no—
489#103—478no—
490#103—478no—
491#102—478no—
492#102—478no—
493C22⋊C8—474no—
494C22⋊C8—474no—
495C22⋊C8—474no—
496#97—474no—
497C24—941no—
498C24—944no—
499C24—941no—
500C24—3762no—
501C24—1884no—
502C24—1884no—
503C24C2×C22⋊D4711yescharacteristic
504C24C2×C22⋊D4711yescharacteristic
505#41—948no—
506#41—1884no—
507#41—1888no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—472no—
514C2×Q8—941no—
515C2×Q8—1882no—
516C2×Q8C23×D4714yes—
517C2×D4—24no—
518C2×D4—472no—
519C2×D4—472no—
520C2×D4—944no—
521C2×D4—948no—
522C2×D4—944no—
523C2×D4—944no—
524C2×D4—941no—
525C2×D4—944no—
526C2×D4—941no—
527C2×D4—3762no—
528C2×D4—1884no—
529C2×D4—1882no—
530C2×D4—1888no—
531C2×D4—1884no—
532C2×D4—1884no—
533C2×D4C2×C22⋊D4714yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4—944no—
543C22×C4—944no—
544C22×C4—3762no—
545C22×C4—1884no—
546C22×C4C2×C22⋊D4711yescharacteristic
547C22×C4C2×C22⋊D4711yescharacteristic
548C22×C4C2×C22⋊D4711yescharacteristic
549C22×C4C2×C22⋊D4711yescharacteristic
550C22×C4C2×C22⋊D4712yes—
551C22×C4C2×C22⋊D4712yes—
552C22×C4C23×D4711yescharacteristic
553C22×C4C23×D4712yes—
554C22×C4C23×D4712yes—
555Q16—1888no—
556SD16—9416no—
557SD16—1888no—
558M16—1884no—
559C2×C8—478no—
560C2×C8—1884no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—472no—
571C4⋊C4—944no—
572C4⋊C4—941no—
573C4⋊C4C2×C22⋊D4714yes—
574C4⋊C4C23×D4714yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—944no—
579C22⋊C4—944no—
580C22⋊C4—944no—
581C22⋊C4—944no—
582C22⋊C4—944no—
583C22⋊C4C2×C22⋊D4714yes—
584C22⋊C4C2×C22⋊D4714yes—
585C42—24no—
586C42C2×C22⋊D4712yes—
587C42C23×D4712yes—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—944no—
594C23—942no—
595C23—942no—
596C23—3764no—
597C23—37616no—
598C23—1888no—
599C23—1882no—
600C23—1882no—
601C23—1882no—
602C23—1882no—
603C23—1888no—
604C23—1882no—
605C23#1309405514yescomplemented
606C23C22×C22⋊D4712yes—
607C23C22×C22⋊D4711yescharacteristic
608C23C22×C22⋊D4712yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—944no—
614Q8—1882no—
615D4—28no—
616D4—474no—
617D4—944no—
618D4—942no—
619D4—944no—
620D4—3764no—
621D4—1888no—
622D4—1882no—
623D4—1888no—
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—942no—
640C2×C4—942no—
641C2×C4—3764no—
642C2×C4—1888no—
643C2×C4—1882no—
644C2×C4—1882no—
645C2×C4C22×C22⋊D4712yes—
646C2×C4C22×C22⋊D4711yescharacteristic
647C2×C4C22×C22⋊D4712yes—
648C2×C4C22×C22⋊D4712yes—
649C2×C4C22×C22⋊D4712yes—
650C2×C4C24×D4711yescharacteristic
651C8—948no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22—82no—
661C22—944no—
662C22—3764no—
663C22—37616no—
664C22—1888no—
665C22—1882no—
666C22—1882no—
667C22—1882no—
668C22—1882no—
669C22—1882no—
670C22C2×#1309405512yes—
671C22C2×#1309405514yes—
672C22C23×C22⋊D4711yescharacteristic
673C4—22no—
674C4—22no—
675C4—21no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—1882no—
681C4—1882no—
682C4H(5,𝔽2)×D4712yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—3762no—
687C2—1884no—
688C2#2025701911yescharacteristic
689C2C22×#1309405511yescharacteristic
690C2#2025816711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3501C2
socleC22×C47C23×D4
prime radicalC2×#15689769C2
hypercenter#3501D47
hypocenterC47#61570
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #20255463C2semidirect
3. #20254899C2semidirect
4. #20254387C2semidirect
5. #20254190C2semidirect
6. #20254160C2semidirect
7. #20253483C2semidirect
8. #20252646C2semidirect
9. C2×#15689273C2semidirect
10. #20252417C2semidirect
11. C47×#3501C2semidirect
14. C2×#13094055C22semidirect
15. C22×#10625336C22semidirect
26. #15689515C22semidirect
27. #15689485C22semidirect
28. #15689458C22semidirect
29. #15689456C22semidirect
30. #15689436C22semidirect
31. #15689400C22semidirect
32. #15689371C22semidirect
33. #15689362C22semidirect
34. #15689345C22semidirect
35. #15689325C22semidirect
36. #15689283C22semidirect
37. #15689279C22semidirect
38. #15689278C22semidirect
41. #15689273C22semidirect
42. #15689262C22semidirect
43. #15689221C22semidirect
44. #15689195C22semidirect
45. #15689180C22semidirect
46. #15689122C22semidirect
47. C2×#13093944C22semidirect
48. #15689087C22semidirect
51. C47×#554C22semidirect
52. D4×Q8×C47C22semidirect
56. C47×#533C22semidirect
58. C2×C22⋊Q8×C47C22semidirect
77. C2×#10625337C23semidirect
81. C2×#10625329C23semidirect
102. #13093957C23semidirect
103. C4⋊(C47⋊C8)C23semidirect
104. #13093948C23semidirect
105. #13093947C23semidirect
110. C22⋊(C47⋊C8)C23semidirect
111. #13093935C23semidirect
113. C22×Q8×C47C23semidirect
118. C4⋊Q8×C47C23semidirect
119. C4⋊Q8×C47C23semidirect
133. C22⋊Q8×C47C23semidirect
135. C4×Q8×C47C23semidirect
145. C2×C4⋊C4×C47C23semidirect
247. C23×C47#137semidirect
338. #3501D47semidirect
362. #554C2×D47semidirect
363. D4×Q8C2×D47semidirect
369. #533C2×D47semidirect
374. C2×C22⋊Q8C2×D47semidirect
406. C47#61570semidirect
413. C22×Q8C22×D47semidirect
435. C4⋊Q8C22×D47semidirect
436. C4⋊Q8C22×D47semidirect
455. C22⋊Q8C22×D47semidirect
461. C4×Q8C22×D47semidirect
475. C2×C4⋊C4C22×D47semidirect
605. C23#13094055semidirect

Maximal subgroups

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

subgroupindex
C2×#156897692
#202554632
#202548992
#202543872
#202541902
#202541602
#202534832
#202526462
C2×#156892732
#202524172
C47×#35012
#6157047