Finite Group Databasebeta

← #26227649

Subgroups — #26227649

Order 12032.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689262C211yesmaximal, characteristic
2#20246081C211yesmaximal, characteristic
3#20244272C211yesmaximal, characteristic, complemented
4#20244245C211yesmaximal, characteristic, complemented
5#20244081C211yesmaximal, characteristic, complemented
6#20244067C211yesmaximal, characteristic, complemented
7#20244026C211yesmaximal, characteristic, complemented
8#20244019C211yesmaximal, characteristic, complemented
9#20243725C211yesmaximal, characteristic, complemented
10#20243725C211yesmaximal, characteristic, complemented
11#20243710C211yesmaximal, characteristic
12#20243587C211yesmaximal, characteristic, complemented
13#20243323C211yesmaximal, characteristic, complemented
14#20243154C211yesmaximal, characteristic, complemented
15C47×#2310C211yesmaximal, characteristic, complemented
16C22×#10625336C2211yescharacteristic
17C22×#10625336C2211yescharacteristic
18C2×#13093998C2211yescharacteristic
19C2×C4×D188C2211yescharacteristic
20#15689262C418yescomplemented
21C2×#13093957C2211yescharacteristic
22C2×#13093955C2211yescharacteristic
23C2×#13093948C2211yescharacteristic
24C2×#13093948C2211yescharacteristic
25C2×#13093948C2211yescharacteristic
26C2×#13093948C2211yescharacteristic
27C2×#13093948C2211yescharacteristic
28C2×#13093948C2211yescharacteristic
29C2×#13093944C2211yescharacteristic
30C2×#13093944C2211yescharacteristic
31C2×C22⋊(C47⋊C8)C2211yescharacteristic
32C2×C22⋊(C47⋊C8)C2211yescharacteristic
33C2×#13093935C2211yescharacteristic
34C2×C4×C47⋊C8C2211yescharacteristic
35#15689025C2211yescharacteristic
36#15689023—21no—
37#15689021C2211yescharacteristic
38#15689013—21no—
39#15688999—21no—
40#15688994—21no—
41#15688983C2211yescharacteristic
42C4×C4⋊Dic47C2211yescharacteristic
43#15688885C2211yescharacteristic
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688878C2211yescharacteristic
48#15688878C2211yescharacteristic
49C23×Q8×C47C2211yescharacteristic
50C2×#117×C47C2211yescharacteristic
51C2×#117×C47C2211yescharacteristic
52C47×#391—21no—
53C47×#391—21no—
54C47×#391C2211yescharacteristic
55C47×#391C2211yescharacteristic
56C47×#391C2211yescharacteristic
57C47×#391C2211yescharacteristic
58C47×#381—21no—
59C47×#381—21no—
60C22×D188C2311yescharacteristic
61C22×C22⋊D47—21no—
62C22×C4×D47—21no—
63C2×#10625336—41no—
64C2×#10625336—41no—
65C2×#10625336—41no—
66C2×#10625336—41no—
67C2×#10625336C2×C414yes—
68C2×#10625336C2×C414yes—
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73#13093998—22no—
74#13093998C2×C414yes—
75C4×D188—41no—
76C4×D188—41no—
77C2×C4⋊Dic47C2311yescharacteristic
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×Dic47⋊C4—21no—
81C2×C22⋊Dic47—21no—
82C2×(C2×D47)⋊C4—21no—
83C2×(C2×D47)⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—21no—
86C2×C4×Dic47—21no—
87#13093957—41no—
88#13093955—41no—
89#13093948—41no—
90#13093948—41no—
91#13093948—41no—
92#13093948—41no—
93#13093948C2×C414yescomplemented
94#13093948C2×C414yescomplemented
95#13093944—41no—
96#13093944—41no—
97C22⋊(C47⋊C8)—22no—
98C22⋊(C47⋊C8)C2×C414yescomplemented
99#13093935—41no—
100C4×C47⋊C8—41no—
101C47⋊#95—21no—
102C47⋊#95—21no—
103C47⋊#95—21no—
104C22×Q8×C47—21no—
105C22×Q8×C47—22no—
106C22×Q8×C47—41no—
107C22×Q8×C47—41no—
108C22×Q8×C47—41no—
109C22×Q8×C47—41no—
110C22×Q8×C47C2×C414yescomplemented
111C22×Q8×C47C2311yescharacteristic
112C22×Q8×C47C2311yescharacteristic
113C23×C4×C47—21no—
114C23×C4×C47C2311yescharacteristic
115#117×C47—41no—
116#117×C47—41no—
117#117×C47—41no—
118#117×C47—41no—
119C2×C4⋊C4×C47D411yescharacteristic
120C2×C4⋊C4×C47D411yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C4⋊C4×C47C2311yescharacteristic
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47D411yescharacteristic
125C2×C22⋊C4×C47D411yescharacteristic
126C2×C42×C47—21no—
127C2×C42×C47C2311yescharacteristic
128C2×C42×C47C2311yescharacteristic
129#95×C47—21no—
130#95×C47—21no—
131#95×C47—21no—
132#95×C47—21no—
133#95×C47—21no—
134#95×C47—21no—
135#95×C47—21no—
136#95×C47—21no—
137C24×C47C2×D411yescharacteristic
138C23×D47—21no—
139C2×Q8×C47—24no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47—21no—
149C2×Q8×C47—21no—
150C2×Q8×C47—44no—
151C2×Q8×C47—44no—
152C2×Q8×C47—42no—
153C2×Q8×C47—42no—
154C2×Q8×C47—44no—
155C2×Q8×C47—44no—
156C2×Q8×C47C22×C412yes—
157C2×Q8×C47C22×C412yes—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—24no—
163C22×C4×C47—21no—
164C22×C4×C47—21no—
165C22×C4×C47—21no—
166C22×C4×C47—21no—
167C22×C4×C47—42no—
168C22×C4×C47—42no—
169C22×C4×C47C22×C412yes—
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D411yescharacteristic
175C22×C4×C47#4112yes—
176C22×C4×C47C2411yescharacteristic
177C2×C22⋊D47—24no—
178C2×C22⋊D47—81no—
179C2×C22⋊D47—81no—
180C22×Dic47—21no—
181C22×Dic47—21no—
182C22×Dic47—21no—
183C2×D188—21no—
184C2×D188—21no—
185C2×D188—21no—
186C2×D188—21no—
187C2×D188—21no—
188C2×D188C22×C412yes—
189C2×C4×D47—42no—
190C2×C4×D47—81no—
191C2×C4×D47—81no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—41no—
197C4⋊C4×C47—41no—
198C22⋊C4×C47—41no—
199C22⋊C4×C47—41no—
200C22⋊C4×C47—42no—
201C42×C47—21no—
202C42×C47—21no—
203C42×C47—21no—
204C42×C47—21no—
205C42×C47—42no—
206C22⋊Dic47—81no—
207#10625336—44no—
208#10625336—44no—
209(C2×D47)⋊C4—24no—
210(C2×D47)⋊C4—42no—
211(C2×D47)⋊C4—81no—
212(C2×D47)⋊C4—81no—
213C4⋊Dic47—21no—
214C4⋊Dic47—21no—
215C4⋊Dic47—21no—
216C4⋊Dic47—21no—
217C4⋊Dic47—21no—
218C4⋊Dic47C22×C412yes—
219Dic47⋊C4—81no—
220C4×Dic47—81no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8—21no—
231C2×C47⋊C8C22×C412yes—
232C2×C47⋊C8C22×C412yes—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47—21no—
239C23×C47C4×D412yes—
240C23×C47C22×D411yescharacteristic
241C22×D47—22no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245C22×D47—41no—
246C22×D47—41no—
247C22×D47—41no—
248Q8×C47—22no—
249Q8×C47—22no—
250Q8×C47—22no—
251Q8×C47—22no—
252Q8×C47—48no—
253Q8×C47—41no—
254Q8×C47—41no—
255Q8×C47—41no—
256Q8×C47—41no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—21no—
268C2×C4×C47—21no—
269C2×C4×C47—21no—
270C2×C4×C47—21no—
271C2×C4×C47—21no—
272C2×C4×C47—21no—
273C2×C4×C47—21no—
274C2×C4×C47—21no—
275C2×C4×C47—21no—
276C2×C4×C47—21no—
277C2×C4×C47—48no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47—41no—
284C2×C4×C47—41no—
285C2×C4×C47—41no—
286C2×C4×C47—41no—
287C2×C4×C47—41no—
288C2×C4×C47C4×D412yes—
289C2×C4×C47C23×C411yescharacteristic
290C2×C4×C47C2×#4111yescharacteristic
291C2×C4×C47H(5,𝔽2)11yescharacteristic
292C2×C4×C47H(5,𝔽2)11yescharacteristic
293C2×C4×C47H(5,𝔽2)11yescharacteristic
294C2×C4×C47H(5,𝔽2)11yescharacteristic
295C22⋊D47—84no—
296C2×Dic47—22no—
297C2×Dic47—41no—
298C2×Dic47—41no—
299C2×Dic47—41no—
300C2×Dic47—41no—
301C2×Dic47—41no—
302C2×Dic47—41no—
303C2×Dic47—41no—
304C2×Dic47—41no—
305D188—22no—
306D188—22no—
307D188—41no—
308D188—41no—
309C4×D47—84no—
310C47⋊C8—22no—
311C47⋊C8—22no—
312C47⋊C8—41no—
313C47⋊C8—41no—
314#22058—471nomaximal, Sylow
315C22×C47—22no—
316C22×C47—22no—
317C22×C47—22no—
318C22×C47—41no—
319C22×C47—41no—
320C22×C47—41no—
321C22×C47—41no—
322C22×C47C2×C4×D411yescharacteristic
323C22×C47#53411yescharacteristic
324C22×C47#53511yescharacteristic
325C22×C47#57711yescharacteristic
326C22×C47#57711yescharacteristic
327C22×C47#57711yescharacteristic
328C22×C47#57811yescharacteristic
329C2×D47—42no—
330C2×D47—42no—
331C2×D47—42no—
332C2×D47—81no—
333C2×D47—81no—
334C2×D47—81no—
335C2×D47—81no—
336C4×C47—22no—
337C4×C47—42no—
338C4×C47—42no—
339C4×C47—41no—
340C4×C47—41no—
341C4×C47—41no—
342C4×C47—41no—
343C4×C47—81no—
344C4×C47—81no—
345C4×C47#51811yescharacteristic
346C4×C47#51811yescharacteristic
347C4×C47#53811yescharacteristic
348C4×C47#53811yescharacteristic
349Dic47—42no—
350Dic47—81no—
351Dic47—81no—
352C2×#448—471no—
353#2324—471no—
354#2310D4711yescharacteristic, complemented
355#1973—471no—
356#1968—471no—
357#1935—471no—
358#1933—471no—
359#1928—471no—
360#1927—471no—
361#1877—471no—
362#1877—471no—
363#1875—471no—
364#1854—471no—
365#1787—471no—
366#1750—471no—
367C2×C47—42no—
368C2×C47#232111yescharacteristic
369C2×C47#294711yescharacteristic
370C2×C47#294911yescharacteristic
371C2×C47#320011yescharacteristic
372C2×C47#320111yescharacteristic
373C2×C47#322111yescharacteristic
374C2×C47#322511yescharacteristic
375D47—82no—
376C23×Q8C2×D4711yescharacteristic
377C22×SD16—471no—
378C22×SD16—471no—
379C2×#121—471no—
380C2×C4×D4—471no—
381C2×#117C2×D4711yescharacteristic
382C2×#117C2×D4711yescharacteristic
383#448—478no—
384C2×#107—471no—
385C2×#106—471no—
386C2×#103—471no—
387C2×#103—471no—
388C2×#103—471no—
389C2×#103—471no—
390C2×#103—471no—
391C2×#103—471no—
392C2×#102—471no—
393C2×#102—471no—
394C2×C22⋊C8—471no—
395C2×C22⋊C8—471no—
396C2×#97—471no—
397C2×C4×C8—471no—
398#391—21no—
399#391—21no—
400#391C2×D4711yescharacteristic
401#391C2×D4711yescharacteristic
402#391C2×D4711yescharacteristic
403#391C2×D4711yescharacteristic
404#390—471no—
405#390—941no—
406#389—471no—
407#388—941no—
408#386—941no—
409#385—941no—
410#381—21no—
411#381—21no—
412#380—471no—
413C4×C4⋊C4—471no—
414#340—471no—
415#340—471no—
416#340—471no—
417#340—471no—
418#336—471no—
419#336—471no—
420C47#2205811yescharacteristic, complemented, Sylow
421C22×Q8—22no—
422C22×Q8—21no—
423C22×Q8—41no—
424C22×Q8—41no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8C4×D4714yescomplemented
428C22×Q8C22×D4711yescharacteristic
429C22×Q8C22×D4711yescharacteristic
430C22×D4—471no—
431C22×D4—941no—
432C23×C4—21no—
433C23×C4—941no—
434C23×C4C22×D4711yescharacteristic
435C2×SD16—474no—
436C2×SD16—474no—
437C2×SD16—1881no—
438C2×SD16—1881no—
439C2×SD16—1881no—
440C2×SD16—1881no—
441C22×C8—471no—
442C22×C8—471no—
443C22×C8—471no—
444C22×C8—471no—
445#121—474no—
446#121—942no—
447C4×D4—1881no—
448C4×D4—1881no—
449#117—41no—
450#117—41no—
451#117—41no—
452#117—41no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—941no—
457C2×C4⋊C4C22⋊D4711yescharacteristic
458C2×C4⋊C4C22⋊D4711yescharacteristic
459C2×C4⋊C4C22×D4711yescharacteristic
460C2×C4⋊C4C22×D4711yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—941no—
463C2×C22⋊C4—941no—
464C2×C22⋊C4—941no—
465C2×C22⋊C4—941no—
466C2×C22⋊C4—941no—
467C2×C22⋊C4C22⋊D4711yescharacteristic
468C2×C22⋊C4C22⋊D4711yescharacteristic
469C2×C42—21no—
470C2×C42—941no—
471C2×C42C22×D4711yescharacteristic
472C2×C42C22×D4711yescharacteristic
473#107—1881no—
474#106—1881no—
475#103—474no—
476#103—474no—
477#103—1881no—
478#103—1881no—
479#103—1881no—
480#103—1881no—
481#102—1881no—
482#102—1881no—
483C22⋊C8—474no—
484C22⋊C8—942no—
485#97—1881no—
486C4×C8—1881no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—941no—
496#95—941no—
497#95—941no—
498C24—941no—
499C24C2×C22⋊D4711yescharacteristic
500C2×Q8—24no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8C2×C4×D4712yes—
518C2×Q8C2×C4×D4712yes—
519C2×D4—472no—
520C2×D4—944no—
521C2×D4—941no—
522C2×D4—941no—
523C2×D4—941no—
524C2×D4—941no—
525C2×D4—941no—
526C2×D4—3761no—
527C2×D4—3761no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—24no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—941no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4—3761no—
543C22×C4—3761no—
544C22×C4—1882no—
545C22×C4C2×C4×D4712yes—
546C22×C4#1062535012yes—
547C22×C4C2×C22⋊D4711yescharacteristic
548C22×C4C2×C22⋊D4711yescharacteristic
549C22×C4C2×C22⋊D4711yescharacteristic
550C22×C4C2×C22⋊D4711yescharacteristic
551C22×C4C2×C22⋊D4711yescharacteristic
552C22×C4C23×D4711yescharacteristic
553SD16—1884no—
554SD16—1884no—
555C2×C8—472no—
556C2×C8—472no—
557C2×C8—941no—
558C2×C8—941no—
559C2×C8—941no—
560C2×C8—941no—
561C2×C8—941no—
562C2×C8—941no—
563C2×C8—941no—
564C2×C8—941no—
565C2×C8—941no—
566C2×C8—941no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—41no—
572C4⋊C4—41no—
573C4⋊C4—472no—
574C4⋊C4—941no—
575C4⋊C4—941no—
576C4⋊C4—941no—
577C4⋊C4—941no—
578C4⋊C4—941no—
579C4⋊C4—3761no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—42no—
583C22⋊C4—944no—
584C22⋊C4—3761no—
585C22⋊C4—3761no—
586C22⋊C4—3761no—
587C22⋊C4—1882no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—42no—
593C42—3761no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—942no—
601C23—1881no—
602C23—1881no—
603C23—1881no—
604C23—1881no—
605C23—1881no—
606C23—1881no—
607C23C4×C22⋊D4712yes—
608C23C22×C22⋊D4711yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—48no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—942no—
619D4—942no—
620D4—3764no—
621D4—1881no—
622D4—1881no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—942no—
655C2×C4—3764no—
656C2×C4—1881no—
657C2×C4—1881no—
658C2×C4—1881no—
659C2×C4—1881no—
660C2×C4—1881no—
661C2×C4—1881no—
662C2×C4—1881no—
663C2×C4—1881no—
664C2×C4C4×C22⋊D4712yes—
665C2×C4C22×C4×D4711yescharacteristic
666C2×C4C2×#1062535011yescharacteristic
667C2×C4#1309406911yescharacteristic
668C2×C4#1309406911yescharacteristic
669C2×C4#1309406911yescharacteristic
670C2×C4#1309406911yescharacteristic
671C8—942no—
672C8—942no—
673C8—1881no—
674C8—1881no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—3761no—
683C22—3761no—
684C22—3761no—
685C22—3761no—
686C22—1882no—
687C22—1882no—
688C22—1882no—
689C22C2×C4×C22⋊D4711yescharacteristic
690C22#1568968211yescharacteristic
691C22#1568969011yescharacteristic
692C22#1568993111yescharacteristic
693C22#1568993111yescharacteristic
694C22#1568993111yescharacteristic
695C22#1568993811yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—3761no—
706C4—3761no—
707C4—1882no—
708C4#1568959611yescharacteristic
709C4#1568959611yescharacteristic
710C4#1568971111yescharacteristic
711C4#1568971111yescharacteristic
712C2—42no—
713C2—3762no—
714C2#2024604611yescharacteristic
715C2#2025223111yescharacteristic
716C2#2025224711yescharacteristic
717C2#2025425511yescharacteristic
718C2#2025427011yescharacteristic
719C2#2025444911yescharacteristic
720C2#2025449711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2310C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
cosocleC22×C4×C47C24
hypercenter#2310D47
hypocenterC47#22058
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2310

Complements

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

NH ≅ G/Ntype
3. #20244272C2semidirect
4. #20244245C2semidirect
5. #20244081C2semidirect
6. #20244067C2semidirect
7. #20244026C2semidirect
8. #20244019C2semidirect
9. #20243725C2semidirect
10. #20243725C2semidirect
12. #20243587C2semidirect
13. #20243323C2semidirect
14. #20243154C2semidirect
15. C47×#2310C2semidirect
20. #15689262C4semidirect
93. #13093948C2×C4semidirect
94. #13093948C2×C4semidirect
98. C22⋊(C47⋊C8)C2×C4semidirect
110. C22×Q8×C47C2×C4semidirect
354. #2310D47semidirect
420. C47#22058semidirect
427. C22×Q8C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156892622
#202460812
#202442722
#202442452
#202440812
#202440672
#202440262
#202440192
#202437252
#202437102
#202435872
#202433232
#202431542
C47×#23102
#2205847