Finite Group Databasebeta

← #26422128

Subgroups — #26422128

Order 12032.

7538 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
1C24×C4×D47C211yesmaximal, characteristic, complemented
2C2×#15689632C213yesmaximal, complemented
3#20251683C213yesmaximal, complemented
4#20251679C213yesmaximal, complemented
5#20251674C213yesmaximal, complemented
6#20251673C211yesmaximal, characteristic, complemented
7#20251669C213yesmaximal, complemented
8#20251668C211yesmaximal, characteristic, complemented
9#20251666C211yesmaximal, characteristic, complemented
10#20251664C211yesmaximal, characteristic, complemented
11C4×#13093994C213yesmaximal, complemented
12C4×#13093993C211yesmaximal, characteristic, complemented
13C4×#13093992C213yesmaximal, complemented
14#20245769C213yesmaximal, complemented
15C4×#120×C47C211yesmaximal, characteristic, complemented
16C25×D47C2211yescharacteristic
17C22×#10625350C2211yescharacteristic, complemented
18C24×Dic47C2211yescharacteristic
19C23×C4×D47—224no—
20C23×C4×D47C2213yes—
21C23×C4×D47C2213yes—
22C23×C4×D47C2213yes—
23C23×C4×D47C2213yes—
24#15689632—224no—
25C2×#13094009C2213yescomplemented
26C2×#13094006C2213yescomplemented
27C2×#13094002C2213yescomplemented
28C2×#13094001C2213yescomplemented
29C2×#13093997C2213yescomplemented
30C2×#13093996C2213yescomplemented
31C2×#13093994C2213yes—
32C2×#13093994C2213yes—
33C2×#13093993C2211yescharacteristic
34C2×#13093992C2213yes—
35C2×#13093992C2213yes—
36C2×C4×D188C2213yescomplemented
37C2×C4×C22⋊D47C2213yescomplemented
38C2×C4×C22⋊D47C2213yescomplemented
39C2×#13093981C2213yescomplemented
40#15689003C2213yescomplemented
41#15689002C2213yescomplemented
42#15689001C2216yescomplemented
43#15689000C2213yescomplemented
44#15688999C2216yescomplemented
45#15688998C2213yescomplemented
46#15688997C2216yescomplemented
47#15688996C2213yescomplemented
48#15688995C2213yescomplemented
49#15688994C2216yescomplemented
50#15688985C2216yescomplemented
51#15688982C2216yescomplemented
52#15688981C2213yescomplemented
53#15688981C2213yescomplemented
54#15688979C2211yescharacteristic
55#15688978C2213yes—
56#15688978C2213yes—
57#15688978C2213yes—
58#15688978C2213yes—
59C4×(C2×D47)⋊C4C2216yescomplemented
60C4×C22⋊Dic47C2213yescomplemented
61C24×C4×C47C2211yescharacteristic
62C2×#120×C47C2211yescharacteristic
63C2×C4×D4×C47C2213yescomplemented
64C47×#386C2213yescomplemented
65C47×#385C2213yescomplemented
66C47×#379C2211yescharacteristic
67C4×C22⋊C4×C47C2213yescomplemented
68C24×D47—24no—
69C24×D47—212no—
70C24×D47—212no—
71C24×D47C2313yes—
72C24×D47C2313yes—
73C2×#10625350—212no—
74C22×Dic94C2311yescharacteristic, complemented
75C22×D188C2313yes—
76C22×D188C2311yescharacteristic
77C22×C22⋊D47C2313yes—
78C22×C22⋊D47C2313yes—
79C22×C22⋊D47C2311yescharacteristic
80C22×C22⋊D47C2311yescharacteristic, complemented
81C23×Dic47—212no—
82C23×Dic47C2313yes—
83C23×Dic47C2313yes—
84C22×C4×D47—2128no—
85C22×C4×D47—212no—
86C22×C4×D47—212no—
87C22×C4×D47—212no—
88C22×C4×D47—224no—
89C22×C4×D47—224no—
90C22×C4×D47—224no—
91C22×C4×D47—224no—
92C22×C4×D47D4124yescomplemented
93C22×C4×D47C2316yes—
94C22×C4×D47C2313yes—
95C22×C4×D47C2313yes—
96C22×C4×D47C2313yes—
97C22×C4×D47C2311yescharacteristic
98C22×C4×D47C2311yescharacteristic, complemented
99#13094009—212no—
100#13094006—212no—
101#13094002—212no—
102#13094001—212no—
103#13093997—212no—
104#13093996—212no—
105#13093994—212no—
106#13093994—212no—
107#13093993—24no—
108#13093992—212no—
109#13093992—212no—
110C4×D188—212no—
111C4×C22⋊D47—212no—
112C4×C22⋊D47—212no—
113#13093981—212no—
114C2×C4⋊Dic47C2313yescomplemented
115C2×Dic47⋊C4C2313yescomplemented
116C2×Dic47⋊C4C2313yescomplemented
117C2×Dic47⋊C4C2313yescomplemented
118C2×Dic47⋊C4C2313yescomplemented
119C2×C22⋊Dic47C2313yes—
120C2×C22⋊Dic47C2313yes—
121C2×C22⋊Dic47C2313yes—
122C2×C22⋊Dic47C2313yescomplemented
123C2×(C2×D47)⋊C4C2316yes—
124C2×(C2×D47)⋊C4C2316yes—
125C2×(C2×D47)⋊C4C2313yes—
126C2×(C2×D47)⋊C4C2313yes—
127C2×(C2×D47)⋊C4C2313yes—
128C2×(C2×D47)⋊C4C2313yes—
129C2×(C2×D47)⋊C4C2313yescomplemented
130C2×(C2×D47)⋊C4C2313yescomplemented
131C2×C4×Dic47C2313yescomplemented
132C47⋊#95C2316yescomplemented
133C47⋊#95C2316yescomplemented
134C47⋊#95C2316yescomplemented
135C25×C47C2311yescharacteristic
136C22×D4×C47C2313yes—
137C23×C4×C47—212no—
138C23×C4×C47C2313yes—
139C23×C4×C47C2313yes—
140C23×C4×C47C2311yescharacteristic, complemented
141#120×C47—24no—
142C4×D4×C47—212no—
143C2×C4⋊C4×C47C2313yescomplemented
144C2×C22⋊C4×C47C2313yes—
145C2×C22⋊C4×C47C2313yes—
146C2×C22⋊C4×C47C2313yes—
147C2×C22⋊C4×C47C2313yescomplemented
148C2×C42×C47C2313yescomplemented
149#95×C47C2316yescomplemented
150C24×C47—26no—
151C24×C47—26no—
152C24×C47#4114yescomplemented
153C24×C47C2411yescharacteristic
154C24×C47C2413yes—
155C23×D47—232no—
156C23×D47—296no—
157C23×D47—296no—
158C23×D47—26no—
159C23×D47—26no—
160C23×D47—26no—
161C23×D47—26no—
162C23×D47—212no—
163C23×D47—212no—
164C23×D47—212no—
165C23×D47—212no—
166C23×D47C2×D4112yes—
167C23×D47#41112yescomplemented
168C23×D47C2411yescharacteristic
169C23×D47C2411yescharacteristic
170C23×D47C2413yes—
171C2×D4×C47—26no—
172C2×D4×C47—26no—
173C2×D4×C47—26no—
174C22×C4×C47—232no—
175C22×C4×C47—26no—
176C22×C4×C47—212no—
177C22×C4×C47—212no—
178C22×C4×C47—26no—
179C22×C4×C47C2×D4112yes—
180C22×C4×C47C2413yes—
181C22×C4×C47C2413yes—
182C22×C4×C47C2411yescharacteristic
183C22×C4×C47C2413yes—
184C22×C4×C47C2411yescharacteristic
185C2×C22⋊D47—26no—
186C2×C22⋊D47—26no—
187C2×C22⋊D47—26no—
188C2×C22⋊D47—26no—
189C2×C22⋊D47—26no—
190C2×C22⋊D47—212no—
191C2×C22⋊D47—26no—
192C22×Dic47—232no—
193C22×Dic47—26no—
194C22×Dic47—212no—
195C22×Dic47—212no—
196C22×Dic47C2×D4112yes—
197C22×Dic47C2413yes—
198C22×Dic47C2413yes—
199C22×Dic47C2411yescharacteristic
200C22×Dic47C2413yes—
201C22×Dic47C2411yescharacteristic
202#10625350—416no—
203C2×D188—26no—
204C2×D188—26no—
205C2×D188—212no—
206C2×C4×D47—296no—
207C2×C4×D47—296no—
208C2×C4×D47—296no—
209C2×C4×D47—212no—
210C2×C4×D47—212no—
211C2×C4×D47—212no—
212C2×C4×D47—212no—
213C2×C4×D47—212no—
214C2×C4×D47—212no—
215C2×C4×D47—296no—
216C2×C4×D47—26no—
217C2×C4×D47C2×D4112yes—
218C2×C4×D47C2×D4112yes—
219C2×C4×D47C2×D4112yes—
220C2×C4×D47C2×D4112yes—
221C2×Dic94—26no—
222C4⋊C4×C47—26no—
223C22⋊C4×C47—26no—
224C22⋊C4×C47—26no—
225C22⋊C4×C47—26no—
226C22⋊C4×C47—26no—
227C42×C47—26no—
228C22⋊Dic47—26no—
229C22⋊Dic47—26no—
230C22⋊Dic47—26no—
231C22⋊Dic47—26no—
232(C2×D47)⋊C4—26no—
233(C2×D47)⋊C4—26no—
234(C2×D47)⋊C4—26no—
235(C2×D47)⋊C4—26no—
236(C2×D47)⋊C4—212no—
237(C2×D47)⋊C4—212no—
238(C2×D47)⋊C4—26no—
239(C2×D47)⋊C4—26no—
240C4⋊Dic47—26no—
241Dic47⋊C4—26no—
242Dic47⋊C4—26no—
243Dic47⋊C4—26no—
244Dic47⋊C4—26no—
245C4×Dic47—26no—
246C23×C47—28no—
247C23×C47—224no—
248C23×C47—224no—
249C23×C47—26no—
250C23×C47—26no—
251C23×C47—23no—
252C23×C47—23no—
253C23×C47—21no—
254C23×C47C22×D416yes—
255C23×C47C2×#4116yes—
256C23×C47C2×#4116yes—
257C23×C47C2511yescharacteristic
258C22×D47—224no—
259C22×D47—2256no—
260C22×D47—248no—
261C22×D47—248no—
262C22×D47—248no—
263C22×D47—224no—
264C22×D47—224no—
265C22×D47—224no—
266C22×D47—26no—
267C22×D47—23no—
268C22×D47—23no—
269C22×D47—21no—
270C22×D47—23no—
271C22×D47—224no—
272C22×D47—224no—
273C22×D47—248no—
274C22×D47—23no—
275C22×D47—23no—
276C22×D47—21no—
277C22×D47C22×D416yes—
278C22×D47C22×D416yes—
279C22×D47C2×#41112yes—
280D4×C47—412no—
281C2×C4×C47—224no—
282C2×C4×C47—26no—
283C2×C4×C47—224no—
284C2×C4×C47—23no—
285C2×C4×C47—23no—
286C2×C4×C47—23no—
287C2×C4×C47—23no—
288C2×C4×C47—26no—
289C2×C4×C47—23no—
290C2×C4×C47—44no—
291C2×C4×C47C22×D416yes—
292C2×C4×C47C22×D416yes—
293C22⋊D47—412no—
294C22⋊D47—44no—
295C22⋊D47—412no—
296C22⋊D47—44no—
297C2×Dic47—224no—
298C2×Dic47—26no—
299C2×Dic47—224no—
300C2×Dic47—23no—
301C2×Dic47—23no—
302C2×Dic47—23no—
303C2×Dic47—23no—
304C2×Dic47—26no—
305C2×Dic47—23no—
306C2×Dic47C22×D416yes—
307C2×Dic47C22×D416yes—
308D188—44no—
309D188—412no—
310C4×D47—248no—
311C4×D47—224no—
312C4×D47—224no—
313C4×D47—224no—
314C4×D47—44no—
315C4×D47#120116yescomplemented
316Dic94—44no—
317#36614—471nomaximal, Sylow
318C22×C47—232no—
319C22×C47—26no—
320C22×C47—26no—
321C22×C47—212no—
322C22×C47—212no—
323C22×C47—41no—
324C22×C47—43no—
325C22×C47—43no—
326C22×C47#525112yescomplemented
327C22×C47C23×D413yes—
328C22×C47C22×#4113yes—
329C22×C47C22×#4111yescharacteristic
330C2×D47—296no—
331C2×D47—296no—
332C2×D47—26no—
333C2×D47—26no—
334C2×D47—26no—
335C2×D47—26no—
336C2×D47—212no—
337C2×D47—212no—
338C2×D47—41no—
339C2×D47—43no—
340C2×D47—43no—
341C2×D47C2×#12014yes—
342C2×D47#525112yescomplemented
343C4×C47—26no—
344C4×C47—41no—
345C4×C47—43no—
346C4×C47—43no—
347C4×C47C2×#12014yes—
348Dic47—26no—
349Dic47—41no—
350Dic47—43no—
351Dic47—43no—
352Dic47C2×#12014yes—
353C25×C4—471no—
354C2×#525—473no—
355#2849—473no—
356#2849—473no—
357#2848—473no—
358#2848—471no—
359#2847—473no—
360#2847—471no—
361#2846—471no—
362#2846—471no—
363C4×#120—473no—
364C4×#120—471no—
365C4×#120—473no—
366C4×#120D4711yescharacteristic, complemented
367#2280—473no—
368C2×C47—212no—
369C2×C47—81no—
370C2×C47C22×#12011yescharacteristic
371C2×C47C2×#52513yes—
372C2×C47C2×#52513yes—
373D47—24no—
374D47—212no—
375D47—81no—
376C26—471no—
377C22×#41—471no—
378C24×C4—473no—
379C24×C4—471no—
380C24×C4—473no—
381C24×C4—473no—
382C24×C4—473no—
383C24×C4—9424no—
384C24×C4C2×D4711yescharacteristic
385#525—9424no—
386C2×#123—473no—
387C2×#123—473no—
388C2×C22⋊Q8—473no—
389C2×C22⋊Q8—473no—
390C2×#121—473no—
391C2×#121—473no—
392C2×#120—471no—
393C2×#120—473no—
394C2×#120—473no—
395C2×#120—473no—
396C2×#120—473no—
397C2×#120C2×D4711yescharacteristic
398C2×C4×D4—473no—
399C2×C4×D4—473no—
400C2×C4×D4—473no—
401C2×C4×D4C2×D4713yescomplemented
402C2×#117—473no—
403#386—473no—
404#386—473no—
405#386—473no—
406#386—476no—
407#386—476no—
408#386C2×D4713yescomplemented
409#385—473no—
410#385—476no—
411#385—473no—
412#385—473no—
413#385—476no—
414#385C2×D4713yescomplemented
415#381—476no—
416#380—473no—
417#380—473no—
418#380—476no—
419#379—471no—
420#379—473no—
421#379—473no—
422#379—473no—
423#379—473no—
424#379C2×D4711yescharacteristic
425C4×C22⋊C4—473no—
426C4×C22⋊C4—476no—
427C4×C22⋊C4C2×D4713yescomplemented
428C47#3661411yescharacteristic, complemented, Sylow
429C25—473no—
430C25—473no—
431C25—9412no—
432C25—9412no—
433C25—944no—
434C25C22×D4711yescharacteristic
435C2×#41—9412no—
436C22×Q8—471no—
437C22×D4—473no—
438C22×D4—473no—
439C22×D4—471no—
440C22×D4—471no—
441C22×D4—473no—
442C22×D4—471no—
443C22×D4C22×D4713yes—
444C23×C4—212no—
445C23×C4—471no—
446C23×C4—473no—
447C23×C4—4724no—
448C23×C4—473no—
449C23×C4—473no—
450C23×C4—473no—
451C23×C4—473no—
452C23×C4—476no—
453C23×C4—471no—
454C23×C4—9412no—
455C23×C4—9424no—
456C23×C4—9424no—
457C23×C4—9424no—
458C23×C4—9424no—
459C23×C4—9412no—
460C23×C4—94128no—
461C23×C4—9412no—
462C23×C4—9412no—
463C23×C4C22×D4713yes—
464C23×C4C22×D4713yes—
465C23×C4C22×D4711yescharacteristic, complemented
466#123—9412no—
467#123—9412no—
468C22⋊Q8—9412no—
469C22⋊Q8—9412no—
470#121—9412no—
471#121—9412no—
472#120—24no—
473#120—9412no—
474#120—9412no—
475#120—9412no—
476#120—9412no—
477#120—944no—
478C4×D4—212no—
479C4×D4—9412no—
480C4×D4—9412no—
481C4×D4—9412no—
482#117—9412no—
483C2×C4⋊C4—473no—
484C2×C4⋊C4—473no—
485C2×C4⋊C4—473no—
486C2×C4⋊C4—473no—
487C2×C4⋊C4—473no—
488C2×C4⋊C4C22×D4713yescomplemented
489C2×C22⋊C4—473no—
490C2×C22⋊C4—473no—
491C2×C22⋊C4—473no—
492C2×C22⋊C4—473no—
493C2×C22⋊C4—473no—
494C2×C22⋊C4—473no—
495C2×C22⋊C4—473no—
496C2×C22⋊C4—473no—
497C2×C22⋊C4—473no—
498C2×C22⋊C4—473no—
499C2×C22⋊C4—476no—
500C2×C22⋊C4—476no—
501C2×C22⋊C4C22×D4713yes—
502C2×C22⋊C4C22×D4713yes—
503C2×C22⋊C4C22×D4713yes—
504C2×C22⋊C4C22×D4713yescomplemented
505C2×C42—473no—
506C2×C42C22×D4713yescomplemented
507#95—476no—
508#95—476no—
509#95—476no—
510#95C22×D4716yescomplemented
511C24—26no—
512C24—26no—
513C24—471no—
514C24—473no—
515C24—4712no—
516C24—4712no—
517C24—471no—
518C24—9412no—
519C24—9412no—
520C24—9412no—
521C24—9412no—
522C24—9432no—
523C24—9496no—
524C24—9496no—
525C24—946no—
526C24—946no—
527C24—946no—
528C24—946no—
529C24#1062535014yescomplemented
530C24C23×D4711yescharacteristic
531C24C23×D4713yes—
532#41—18816no—
533C2×Q8—946no—
534C2×D4—26no—
535C2×D4—26no—
536C2×D4—26no—
537C2×D4—946no—
538C2×D4—946no—
539C2×D4—9412no—
540C2×D4—946no—
541C2×D4—946no—
542C2×D4—946no—
543C2×D4—9412no—
544C2×D4—946no—
545C2×D4—946no—
546C2×D4—946no—
547C22×C4—232no—
548C22×C4—26no—
549C22×C4—212no—
550C22×C4—212no—
551C22×C4—26no—
552C22×C4—471no—
553C22×C4—4712no—
554C22×C4—4712no—
555C22×C4—473no—
556C22×C4—4712no—
557C22×C4—4712no—
558C22×C4—4712no—
559C22×C4—473no—
560C22×C4—473no—
561C22×C4—471no—
562C22×C4—9412no—
563C22×C4—9412no—
564C22×C4—9496no—
565C22×C4—9412no—
566C22×C4—9412no—
567C22×C4—9496no—
568C22×C4—9496no—
569C22×C4—9496no—
570C22×C4—9412no—
571C22×C4—9412no—
572C22×C4—9432no—
573C22×C4—946no—
574C22×C4—9412no—
575C22×C4—9412no—
576C22×C4—946no—
577C22×C4D4×D47112yes—
578C22×C4C23×D4713yes—
579C22×C4C23×D4713yes—
580C22×C4C23×D4711yescharacteristic
581C22×C4C23×D4713yes—
582C22×C4C23×D4711yescharacteristic
583C4⋊C4—26no—
584C4⋊C4—946no—
585C4⋊C4—946no—
586C4⋊C4—946no—
587C4⋊C4—946no—
588C4⋊C4—946no—
589C22⋊C4—26no—
590C22⋊C4—26no—
591C22⋊C4—26no—
592C22⋊C4—26no—
593C22⋊C4—946no—
594C22⋊C4—946no—
595C22⋊C4—946no—
596C22⋊C4—946no—
597C22⋊C4—946no—
598C22⋊C4—9412no—
599C22⋊C4—9412no—
600C22⋊C4—946no—
601C22⋊C4—946no—
602C22⋊C4—946no—
603C22⋊C4—946no—
604C22⋊C4—946no—
605C42—26no—
606C42—946no—
607C23—28no—
608C23—224no—
609C23—224no—
610C23—26no—
611C23—26no—
612C23—23no—
613C23—23no—
614C23—21no—
615C23—476no—
616C23—476no—
617C23—4712no—
618C23—9424no—
619C23—9424no—
620C23—9448no—
621C23—9424no—
622C23—94256no—
623C23—9424no—
624C23—9448no—
625C23—9448no—
626C23—9448no—
627C23—9424no—
628C23—9424no—
629C23—946no—
630C23—943no—
631C23—943no—
632C23—941no—
633C23—943no—
634C23—943no—
635C23—943no—
636C23—941no—
637C23C2×D4×D4716yes—
638C23#41×D4716yes—
639C23C2×#1062535016yes—
640C23C24×D4711yescharacteristic
641Q8—1884no—
642D4—412no—
643D4—18812no—
644D4—1884no—
645D4—1884no—
646D4—18812no—
647D4—1884no—
648D4—18812no—
649C2×C4—224no—
650C2×C4—26no—
651C2×C4—224no—
652C2×C4—23no—
653C2×C4—23no—
654C2×C4—23no—
655C2×C4—26no—
656C2×C4—23no—
657C2×C4—23no—
658C2×C4—44no—
659C2×C4—476no—
660C2×C4—4716no—
661C2×C4—476no—
662C2×C4—9424no—
663C2×C4—9424no—
664C2×C4—9448no—
665C2×C4—9424no—
666C2×C4—9424no—
667C2×C4—946no—
668C2×C4—9424no—
669C2×C4—943no—
670C2×C4—943no—
671C2×C4—943no—
672C2×C4—946no—
673C2×C4—943no—
674C2×C4—943no—
675C2×C4—1884no—
676C2×C4C2×D4×D4716yes—
677C2×C4C2×D4×D4716yes—
678C22—232no—
679C22—26no—
680C22—26no—
681C22—212no—
682C22—212no—
683C22—41no—
684C22—43no—
685C22—43no—
686C22—474no—
687C22—4712no—
688C22—9496no—
689C22—9496no—
690C22—946no—
691C22—946no—
692C22—9412no—
693C22—946no—
694C22—946no—
695C22—9412no—
696C22—1881no—
697C22—1883no—
698C22—1883no—
699C22#15689632112yescomplemented
700C22C22×D4×D4713yes—
701C22C2×#41×D4713yes—
702C22C22×#1062535011yescharacteristic
703C4—26no—
704C4—41no—
705C4—43no—
706C4—43no—
707C4—474no—
708C4—946no—
709C4—1881no—
710C4—1883no—
711C4—1883no—
712C4#120×D4714yes—
713C2—212no—
714C2—81no—
715C2—944no—
716C2—9412no—
717C2—3761no—
718C2C2×#120×D4711yescharacteristic
719C2#525×D4713yes—
720C2C2×#1568963213yes—
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×#120×C47C2
hypercenterC4×#120D47
hypocenterC47#36614
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C24×C4×D47C2semidirect
2. C2×#15689632C2semidirect
3. #20251683C2semidirect
4. #20251679C2semidirect
5. #20251674C2semidirect
6. #20251673C2semidirect
7. #20251669C2semidirect
8. #20251668C2semidirect
9. #20251666C2semidirect
10. #20251664C2semidirect
11. C4×#13093994C2semidirect
12. C4×#13093993C2semidirect
13. C4×#13093992C2semidirect
14. #20245769C2semidirect
15. C4×#120×C47C2semidirect
17. C22×#10625350C22semidirect
25. C2×#13094009C22semidirect
26. C2×#13094006C22semidirect
27. C2×#13094002C22semidirect
28. C2×#13094001C22semidirect
29. C2×#13093997C22semidirect
30. C2×#13093996C22semidirect
36. C2×C4×D188C22semidirect
37. C2×C4×C22⋊D47C22semidirect
38. C2×C4×C22⋊D47C22semidirect
39. C2×#13093981C22semidirect
40. #15689003C22semidirect
41. #15689002C22semidirect
42. #15689001C22semidirect
43. #15689000C22semidirect
44. #15688999C22semidirect
45. #15688998C22semidirect
46. #15688997C22semidirect
47. #15688996C22semidirect
48. #15688995C22semidirect
49. #15688994C22semidirect
50. #15688985C22semidirect
51. #15688982C22semidirect
52. #15688981C22semidirect
53. #15688981C22semidirect
59. C4×(C2×D47)⋊C4C22semidirect
60. C4×C22⋊Dic47C22semidirect
63. C2×C4×D4×C47C22semidirect
64. C47×#386C22semidirect
65. C47×#385C22semidirect
67. C4×C22⋊C4×C47C22semidirect
74. C22×Dic94C23semidirect
80. C22×C22⋊D47C23semidirect
92. C22×C4×D47D4semidirect
98. C22×C4×D47C23semidirect
114. C2×C4⋊Dic47C23semidirect
115. C2×Dic47⋊C4C23semidirect
116. C2×Dic47⋊C4C23semidirect
117. C2×Dic47⋊C4C23semidirect
118. C2×Dic47⋊C4C23semidirect
122. C2×C22⋊Dic47C23semidirect
129. C2×(C2×D47)⋊C4C23semidirect
130. C2×(C2×D47)⋊C4C23semidirect
131. C2×C4×Dic47C23semidirect
132. C47⋊#95C23semidirect
133. C47⋊#95C23semidirect
134. C47⋊#95C23semidirect
140. C23×C4×C47C23semidirect
143. C2×C4⋊C4×C47C23semidirect
147. C2×C22⋊C4×C47C23semidirect
148. C2×C42×C47C23semidirect
149. #95×C47C23semidirect
152. C24×C47#41semidirect
167. C23×D47#41semidirect
315. C4×D47#120semidirect
326. C22×C47#525semidirect
342. C2×D47#525semidirect
366. C4×#120D47semidirect
401. C2×C4×D4C2×D47semidirect
408. #386C2×D47semidirect
414. #385C2×D47semidirect
427. C4×C22⋊C4C2×D47semidirect
428. C47#36614semidirect
465. C23×C4C22×D47semidirect
488. C2×C4⋊C4C22×D47semidirect
504. C2×C22⋊C4C22×D47semidirect
506. C2×C42C22×D47semidirect
510. #95C22×D47semidirect
529. C24#10625350semidirect
699. C22#15689632semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D472
C2×#156896322
#202516832
#202516792
#202516742
#202516732
#202516692
#202516682
#202516662
#202516642
C4×#130939942
C4×#130939932
C4×#130939922
#202457692
C4×#120×C472
#3661447