Finite Group Databasebeta

← #27080504

Subgroups — #27080504

Order 12032.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689931C211yesmaximal, characteristic
22−1+4×Dic47C211yesmaximal, characteristic, complemented
3#20256594C211yesmaximal, characteristic, complemented
4#20252267C213yesmaximal, complemented
5#20252243C213yesmaximal, complemented
6#20252225C213yesmaximal, complemented
7#20252223C213yesmaximal, complemented
8#20252203C213yesmaximal, complemented
9#20252201C213yesmaximal, complemented
10#20252156C213yesmaximal, complemented
11C2×#15689208C213yesmaximal, complemented
12#20251981C211yesmaximal, characteristic, complemented
13#20251915C211yesmaximal, characteristic, complemented
14#131×Dic47C211yesmaximal, characteristic, complemented
15C47×#2898C211yesmaximal, characteristic, complemented
16C2×#13094070C2211yescharacteristic
17#15689931C4116yescomplemented
18C2×#13094055C2213yes—
19C2×#13094049C2213yes—
20C2×#13094044C2213yes—
21C22×#10625336C2213yes—
22C2×#13094031C2211yescharacteristic
23#15689606—23no—
24#15689606C2211yescharacteristic
25#15689606C2213yescomplemented
26#15689605—21no—
27#15689604C2213yes—
28#15689601—21no—
29#15689601C2213yescomplemented
30#15689597C2213yes—
31#15689595—23no—
32#41×Dic47—23no—
33#41×Dic47C2211yescharacteristic
34#41×Dic47C2213yescomplemented
35C4×#10625354—21no—
36#15689591C2213yes—
37C2×Q8×Dic47—21no—
38C2×Q8×Dic47C2213yescomplemented
39C2×#13093986C2213yes—
40C4×D4×D47—23no—
41#15689232C2216yescomplemented
42#15689227C2216yescomplemented
43#15689226C2216yescomplemented
44#15689226C2216yescomplemented
45#15689215C2213yescomplemented
46#15689215C2213yescomplemented
47#15689214C2213yescomplemented
48#15689214C2211yescharacteristic, complemented
49#15689208C2216yescomplemented
50#15689208C2216yescomplemented
51#15689208C2213yescomplemented
52#15689208C2216yescomplemented
53#15689208C2213yescomplemented
54#15689203C2213yescomplemented
55#15689203C2213yescomplemented
56#15689166C2213yescomplemented
57#15689163C2213yescomplemented
58#15689159C2213yescomplemented
59C2×#13093955C2213yescomplemented
60#15689129C2213yes—
61#15689125C2213yes—
62#15689120C2213yes—
63C2×#13093946C2213yes—
64#15689081C2213yescomplemented
65#15689078C2213yescomplemented
66M16×Dic47C2213yescomplemented
67C2×C8×Dic47C2213yescomplemented
68C2×2−1+4×C47C2211yescharacteristic
69C2×#131×C47C2211yescharacteristic
70C47×#520C2211yescharacteristic
71C47×#419C2213yescomplemented
72C47×#417C2213yescomplemented
73C47×#416C2213yescomplemented
74C2×#103×C47C2213yescomplemented
75#13094070—24no—
76#13094070C2×C418yescomplemented
77C2×#10625354—21no—
78C2×#10625350C2313yes—
79C22×D188C2313yes—
80C2×D4×D47—23no—
81C22×C4×D47—23no—
82#13094055C2×C4124yescomplemented
83#13094049C2×C4124yescomplemented
84#13094044C2×C4124yescomplemented
85C2×#10625337C2313yes—
86C2×#10625335C2311yescharacteristic
87C2×#10625336C2×C4124yescomplemented
88C2×#10625336C2316yes—
89C2×#10625336C2313yes—
90C2×#10625334C2313yes—
91#13094031C2×C418yescomplemented
92C2×#10625329C2313yes—
93C22×C47⋊C8C2313yes—
94Q8×Dic47—21no—
95Q8×Dic47—23no—
96Q8×Dic47—23no—
97Q8×Dic47—23no—
98Q8×Dic47—23no—
99Q8×Dic47D411yescharacteristic
100Q8×Dic47D411yescharacteristic
101Q8×Dic47C2313yes—
102Q8×Dic47C2316yes—
103Q8×Dic47C2313yes—
104#13093989C2313yes—
105#13093989C2311yescharacteristic
106C4×D188—23no—
107C4×D188—23no—
108D4×Dic47—23no—
109D4×Dic47—23no—
110D4×Dic47—23no—
111D4×Dic47—26no—
112D4×Dic47D413yes—
113D4×Dic47D413yes—
114D4×Dic47C2313yes—
115D4×Dic47C2311yescharacteristic
116#13093986—23no—
117#13093986—23no—
118#13093986C2313yes—
119#13093986C2316yes—
120#13093986C2313yes—
121C4×C22⋊D47—26no—
122(C22⋊D47)⋊C4—23no—
123(C22⋊D47)⋊C4—23no—
124#13093983—26no—
125#13093983—23no—
126#13093983—23no—
127#13093983C2313yes—
128#13093983C2313yes—
129#13093982—23no—
130#13093981—23no—
131C2×C4⋊Dic47—23no—
132C2×C4⋊Dic47—23no—
133C2×C4⋊Dic47C2313yes—
134C4⋊C4×D47—23no—
135C2×(C2×D47)⋊C4—23no—
136C22⋊C4×D47—26no—
137C2×C4×Dic47—23no—
138C2×C4×Dic47—23no—
139C2×C4×Dic47C2313yes—
140C42×D47—23no—
141#13093957C2313yes—
142#13093957C2313yes—
143#13093955C2316yes—
144#13093955C2313yes—
145#13093955C2311yescharacteristic
146#13093949C2313yes—
147#13093949C2311yescharacteristic
148#13093946C2313yes—
149#13093946C2316yes—
150#13093946C2313yes—
151#13093934C2316yes—
152C8×Dic47C2311yescharacteristic
153C8×Dic47C2313yes—
154C8×Dic47C2313yes—
155C8×Dic47C2313yes—
1562−1+4×C47—24no—
1572−1+4×C47C2×C418yescomplemented
158C2×#41×C47—23no—
159C2×#41×C47C2313yes—
160C2×#41×C47C2311yescharacteristic
161C22×Q8×C47—21no—
162C22×Q8×C47C2313yes—
163#131×C47—24no—
164C2×M16×C47C2313yes—
165C22×C8×C47C2313yes—
166C4×Q8×C47—21no—
167C4×D4×C47—23no—
168#117×C47C2313yes—
169C2×C4⋊C4×C47C2313yes—
170#103×C47C2313yes—
171#103×C47C2316yes—
172#103×C47C2313yes—
173#102×C47C2313yes—
174#102×C47C2311yescharacteristic
175C23×D47—23no—
176#41×C47—224no—
177#41×C47—26no—
178#41×C47C22×C414yes—
179#41×C47C22×C4112yescomplemented
180#41×C47#4114yes—
181C2×Q8×C47—28no—
182C2×Q8×C47—23no—
183C2×Q8×C47—26no—
184C2×Q8×C47C22×C4112yescomplemented
185C2×Q8×C47C2×D411yescharacteristic
186C2×Q8×C47C2413yes—
187C2×D4×C47—23no—
188C2×D4×C47C2×D413yes—
189C2×D4×C47C2411yescharacteristic
190C22×C4×C47—23no—
191C22×C4×C47—23no—
192C22×C4×C47—23no—
193C22×C4×C47C2413yes—
194C2×C22⋊D47—23no—
195C22×Dic47—23no—
196C22×Dic47—21no—
197C22×Dic47—23no—
198C22×Dic47C2×D413yes—
199C22×Dic47C2×D413yes—
200#10625354—28no—
201D4×D47—224no—
202#10625350—26no—
203#10625350C22×C4112yes—
204C2×D188—23no—
205C2×D188—26no—
206C2×D188C22×C4112yes—
207C2×D188C2413yes—
208C2×C4×D47—23no—
209C2×C4×D47—23no—
210C2×C4×D47—23no—
211C2×C4×D47—26no—
212C2×C4×D47—86no—
213C2×Dic94C2411yescharacteristic
214M16×C47—26no—
215C2×C8×C47—26no—
216C2×C8×C47C2411yescharacteristic
217C2×C8×C47C2413yes—
218C4⋊C4×C47—23no—
219C4⋊C4×C47C2413yes—
220C4⋊C4×C47C2411yescharacteristic
221C22⋊C4×C47—23no—
222C42×C47—23no—
223C22⋊Dic47—23no—
224C22⋊Dic47—21no—
225C22⋊Dic47—23no—
226C22⋊Dic47C2×D416yes—
227#10625337C22×C4112yescomplemented
228#10625336C22×C4112yescomplemented
229#10625336C22×C4124yescomplemented
230#10625335C22×C414yescomplemented
231#10625334C22×C4112yescomplemented
232(C2×D47)⋊C4—23no—
233(C2×D47)⋊C4—26no—
234(C2×D47)⋊C4—23no—
235C4⋊Dic47—23no—
236C4⋊Dic47—26no—
237C4⋊Dic47—23no—
238C4⋊Dic47—23no—
239C4⋊Dic47C2×D413yes—
240C4⋊Dic47C2×D413yes—
241C4⋊Dic47C2413yes—
242C4⋊Dic47C2411yescharacteristic
243Dic47⋊C4—23no—
244Dic47⋊C4—21no—
245C4×Dic47—23no—
246C4×Dic47—21no—
247C4×Dic47—23no—
248C4×Dic47—23no—
249C4×Dic47—23no—
250C4×Dic47—26no—
251C4×Dic47C2×D413yes—
252C4×Dic47C2×D413yes—
253C4×Dic47C2411yescharacteristic
254C4×Dic47C2413yes—
255#10625329C22×C4112yescomplemented
256C2×C47⋊C8C22×C4112yescomplemented
257C2×C47⋊C8C2411yescharacteristic
258C2×C47⋊C8C2413yes—
259C23×C47—21no—
260C23×C47C22×D413yes—
261C22×D47—23no—
262C22×D47—212no—
263C22×D47—83no—
264C22×D47—83no—
265Q8×C47—212no—
266Q8×C47—23no—
267Q8×C47C4×D414yes—
268Q8×C47C23×C416yes—
269D4×C47—212no—
270D4×C47—21no—
271D4×C47C4×D4112yes—
272D4×C47C23×C412yes—
273C2×C4×C47—212no—
274C2×C4×C47—23no—
275C2×C4×C47—212no—
276C2×C4×C47—21no—
277C2×C4×C47—23no—
278C2×C4×C47—83no—
279C2×C4×C47C23×C416yes—
280C2×C4×C47C22×D413yes—
281C2×C4×C47C2×#4116yes—
282C2×C4×C47C2511yescharacteristic
283C22⋊D47—212no—
284C2×Dic47—21no—
285C2×Dic47—26no—
286C2×Dic47—21no—
287C2×Dic47—23no—
288C2×Dic47—43no—
289C2×Dic47—42no—
290C2×Dic47—83no—
291C2×Dic47—83no—
292C2×Dic47C22×D413yes—
293C2×Dic47C22×D413yes—
294C2×Dic47C22×D411yescharacteristic
295C2×Dic47C22×D411yescharacteristic
296D188—212no—
297D188—23no—
298D188C23×C416yes—
299C4×D47—212no—
300C4×D47—46no—
301C4×D47—83no—
302C4×D47—86no—
303Dic94—21no—
304Dic94C23×C412yes—
305C8×C47—21no—
306C8×C47—23no—
307C47⋊C8C23×C412yes—
308C47⋊C8C23×C416yes—
309C4×#577—471nomaximal, Sylow
310C22×C47—23no—
311C22×C47—23no—
312C22×C47—22no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47C2×C4×D416yes—
316C22×C47C23×D411yescharacteristic
317C2×D47—26no—
318C2×D47—43no—
319C2×D47—43no—
320C2×D47—812no—
321C4×C47—26no—
322C4×C47—41no—
323C4×C47—43no—
324C4×C47C2×C4×D416yes—
325C4×C47C24×C411yescharacteristic
326C4×C47C22×#4111yescharacteristic
327Dic47—23no—
328Dic47—21no—
329Dic47—22no—
330Dic47—23no—
331Dic47—43no—
332Dic47—41no—
333Dic47#57712yescomplemented
334C2×#577—471no—
335C4×2−1+4—471no—
336C4×H(5,𝔽2)—471no—
337#2952—473no—
338#2949—473no—
339#2947—473no—
340#2946—473no—
341C4×#137—473no—
342C4×AGL(1,ℤ/8)—473no—
343C4×#135—473no—
344C2×C4×SD16—473no—
345#2912—471no—
346#2898D4711yescharacteristic, complemented
347#2897—471no—
348C4×#131—471no—
349C2×C47—26no—
350C2×C47—42no—
351C2×C47C22×C4×D411yescharacteristic
352C2×C47C2×#57711yescharacteristic
353C2×C47#358411yescharacteristic
354D47—46no—
355C2×2−1+4C2×D4711yescharacteristic
356C2×H(5,𝔽2)—471no—
357#577—4716no—
358C2×#137—473no—
359C2×AGL(1,ℤ/8)—473no—
360C2×#135—473no—
361C22×SD16—473no—
362C2×#131—471no—
363C2×#131C2×D4711yescharacteristic
364#520—471no—
365#520—473no—
366#520—473no—
367#520—943no—
368#520—941no—
369#520C2×D4711yescharacteristic
370#519—473no—
371#519—941no—
372#518—473no—
373#518—943no—
374C4×#41—471no—
375C4×#41—473no—
376C4×#41—473no—
377C4×#41—943no—
378C4×#41—941no—
379C2×C4×Q8—473no—
380C2×C4×Q8—941no—
381C2×C4×D4—473no—
382C2×C4×D4—943no—
383#442—476no—
384#441—476no—
385#440—476no—
386#440—476no—
387C4×Q16—473no—
388C4×Q16—473no—
389C4×SD16—473no—
390C4×SD16—476no—
391C4×SD16—476no—
392C4×SD16—476no—
393C4×SD16—473no—
394C4×SD16—471no—
395C4×SD16—473no—
396C4×D8—473no—
397C4×D8—473no—
398#428—473no—
399#428—473no—
400#427—473no—
401C2×#106—473no—
402#419C2×D4713yescomplemented
403#418—473no—
404#417—473no—
405#417C2×D4713yescomplemented
406#416—473no—
407#416C2×D4713yescomplemented
408C2×#103C2×D4713yescomplemented
409C2×#102—473no—
410#405—473no—
411#405—473no—
412C4×M16—473no—
413C2×C4×C8—473no—
414C47C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—24no—
4162−1+4C4×D4718yescomplemented
417H(5,𝔽2)—478no—
418H(5,𝔽2)—944no—
419C2×#41—23no—
420C2×#41—473no—
421C2×#41—941no—
422C2×#41C22×D4713yes—
423C2×#41C22×D4711yescharacteristic
424C22×Q8—21no—
425C22×Q8C22×D4713yes—
426C22×D4—473no—
427C22×D4—943no—
428C23×C4—943no—
429#137—4724no—
430AGL(1,ℤ/8)—4724no—
431#135—4724no—
432C2×Q16—473no—
433C2×SD16—4724no—
434C2×SD16—473no—
435C2×SD16—476no—
436C2×SD16—471no—
437C2×D8—473no—
438#131—24no—
439#131—478no—
440C2×M16—473no—
441C2×M16C22×D4713yes—
442C22×C8—473no—
443C22×C8C22×D4713yes—
444C4×Q8—21no—
445C4×Q8—471no—
446C4×Q8—471no—
447C4×Q8—473no—
448C4×Q8—476no—
449C4×Q8—473no—
450C4×Q8—471no—
451C4×Q8—473no—
452C4×Q8—943no—
453C4×Q8—943no—
454C4×Q8—943no—
455C4×Q8—943no—
456C4×Q8—941no—
457C4×D4—23no—
458C4×D4—473no—
459C4×D4—473no—
460C4×D4—471no—
461C4×D4—473no—
462C4×D4—473no—
463C4×D4—476no—
464C4×D4—473no—
465C4×D4—943no—
466C4×D4—943no—
467C4×D4—943no—
468C4×D4—943no—
469C4×D4—943no—
470C4×D4—943no—
471C4×D4—946no—
472C4×D4—946no—
473C4×D4—943no—
474C4×D4—943no—
475C4×D4—943no—
476#117—473no—
477#117—473no—
478#117—943no—
479#117—943no—
480#117—946no—
481#117—943no—
482#117—943no—
483#117C22×D4713yes—
484C2×C4⋊C4—473no—
485C2×C4⋊C4—943no—
486C2×C4⋊C4—943no—
487C2×C4⋊C4—943no—
488C2×C4⋊C4C22×D4713yes—
489C2×C22⋊C4—946no—
490C2×C22⋊C4—943no—
491C2×C42—473no—
492C2×C42—943no—
493C2×C42—943no—
494C2×C42—943no—
495#107—473no—
496#107—473no—
497#106—473no—
498#106—476no—
499#106—471no—
500#103—471no—
501#103—473no—
502#103C22×D4713yes—
503#103C22×D4716yes—
504#103C22×D4713yes—
505#102—473no—
506#102—476no—
507#102—473no—
508#102C22×D4711yescharacteristic
509#102C22×D4713yes—
510#97—476no—
511C4×C8—471no—
512C4×C8—473no—
513C4×C8—473no—
514C4×C8—473no—
515C24—943no—
516#41—224no—
517#41—26no—
518#41—4712no—
519#41—948no—
520#41—946no—
521#41C2×C4×D4714yes—
522#41C2×C4×D47112yescomplemented
523#41#1062535214yes—
524C2×Q8—28no—
525C2×Q8—23no—
526C2×Q8—26no—
527C2×Q8—471no—
528C2×Q8C2×C4×D47112yescomplemented
529C2×Q8D4×D4711yescharacteristic
530C2×Q8C23×D4713yes—
531C2×D4—23no—
532C2×D4—4712no—
533C2×D4—473no—
534C2×D4—943no—
535C2×D4—9424no—
536C2×D4—943no—
537C2×D4—946no—
538C2×D4D4×D4713yes—
539C2×D4C23×D4711yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—473no—
544C22×C4—473no—
545C22×C4—943no—
546C22×C4—946no—
547C22×C4—943no—
548C22×C4—943no—
549C22×C4—941no—
550C22×C4—943no—
551C22×C4—943no—
552C22×C4—3766no—
553C22×C4C23×D4713yes—
554Q16—4712no—
555SD16—4712no—
556SD16—4724no—
557SD16—474no—
558D8—4712no—
559M16—26no—
560M16—4712no—
561C2×C8—26no—
562C2×C8—4712no—
563C2×C8—471no—
564C2×C8—473no—
565C2×C8C23×D4711yescharacteristic
566C2×C8C23×D4713yes—
567C4⋊C4—23no—
568C4⋊C4—473no—
569C4⋊C4—473no—
570C4⋊C4—473no—
571C4⋊C4—471no—
572C4⋊C4—943no—
573C4⋊C4—941no—
574C4⋊C4—943no—
575C4⋊C4—946no—
576C4⋊C4—943no—
577C4⋊C4—943no—
578C4⋊C4C23×D4713yes—
579C4⋊C4C23×D4711yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—476no—
582C22⋊C4—943no—
583C22⋊C4—943no—
584C22⋊C4—946no—
585C22⋊C4—941no—
586C22⋊C4—943no—
587C22⋊C4—943no—
588C42—23no—
589C42—473no—
590C42—473no—
591C42—471no—
592C42—473no—
593C42—941no—
594C42—943no—
595C42—943no—
596C42—943no—
597C42—946no—
598C42—943no—
599C23—21no—
600C23—9412no—
601C23—943no—
602C23—3763no—
603C23—3763no—
604C23C2×D4×D4713yes—
605Q8—212no—
606Q8—23no—
607Q8—472no—
608Q8—941no—
609Q8(C22⋊D47)⋊C414yes—
610Q8C22×C4×D4716yes—
611D4—212no—
612D4—21no—
613D4—476no—
614D4—9412no—
615D4—9412no—
616D4—943no—
617D4(C22⋊D47)⋊C4112yes—
618D4C22×C4×D4712yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—83no—
625C2×C4—471no—
626C2×C4—471no—
627C2×C4—473no—
628C2×C4—473no—
629C2×C4—946no—
630C2×C4—941no—
631C2×C4—9412no—
632C2×C4—941no—
633C2×C4—943no—
634C2×C4—3763no—
635C2×C4—3766no—
636C2×C4—3763no—
637C2×C4—3763no—
638C2×C4—1886no—
639C2×C4—1882no—
640C2×C4—1883no—
641C2×C4C22×C4×D4716yes—
642C2×C4C2×D4×D4713yes—
643C2×C4C2×#1062535216yes—
644C2×C4C24×D4711yescharacteristic
645C8—21no—
646C8—23no—
647C8—472no—
648C8—476no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—946no—
655C22—37612no—
656C22—1883no—
657C22—1883no—
658C22C2×(C22⋊D47)⋊C416yes—
659C22C22×D4×D4711yescharacteristic
660C4—26no—
661C4—43no—
662C4—41no—
663C4—472no—
664C4—942no—
665C4—943no—
666C4—943no—
667C4—941no—
668C4—1881no—
669C4—1883no—
670C4C2×(C22⋊D47)⋊C416yes—
671C4C23×C4×D4711yescharacteristic
672C4C22×#1062535211yescharacteristic
673C2—26no—
674C2—42no—
675C2—1886no—
676C2C22×(C22⋊D47)⋊C411yescharacteristic
677C2#577×D4711yescharacteristic
678C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC47×#2898C2
socleC22×C47C23×D4
prime radicalC2×#15689931C2
cosocleC2×C4×C47C25
hypercenter#2898D47
hypocenterC47C4×#577
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2898

Complements

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

NH ≅ G/Ntype
2. 2−1+4×Dic47C2semidirect
3. #20256594C2semidirect
4. #20252267C2semidirect
5. #20252243C2semidirect
6. #20252225C2semidirect
7. #20252223C2semidirect
8. #20252203C2semidirect
9. #20252201C2semidirect
10. #20252156C2semidirect
11. C2×#15689208C2semidirect
12. #20251981C2semidirect
13. #20251915C2semidirect
14. #131×Dic47C2semidirect
15. C47×#2898C2semidirect
17. #15689931C4semidirect
25. #15689606C22semidirect
29. #15689601C22semidirect
34. #41×Dic47C22semidirect
38. C2×Q8×Dic47C22semidirect
41. #15689232C22semidirect
42. #15689227C22semidirect
43. #15689226C22semidirect
44. #15689226C22semidirect
45. #15689215C22semidirect
46. #15689215C22semidirect
47. #15689214C22semidirect
48. #15689214C22semidirect
49. #15689208C22semidirect
50. #15689208C22semidirect
51. #15689208C22semidirect
52. #15689208C22semidirect
53. #15689208C22semidirect
54. #15689203C22semidirect
55. #15689203C22semidirect
56. #15689166C22semidirect
57. #15689163C22semidirect
58. #15689159C22semidirect
59. C2×#13093955C22semidirect
64. #15689081C22semidirect
65. #15689078C22semidirect
66. M16×Dic47C22semidirect
67. C2×C8×Dic47C22semidirect
71. C47×#419C22semidirect
72. C47×#417C22semidirect
73. C47×#416C22semidirect
74. C2×#103×C47C22semidirect
76. #13094070C2×C4semidirect
82. #13094055C2×C4semidirect
83. #13094049C2×C4semidirect
84. #13094044C2×C4semidirect
87. C2×#10625336C2×C4semidirect
91. #13094031C2×C4semidirect
157. 2−1+4×C47C2×C4semidirect
179. #41×C47C22×C4semidirect
184. C2×Q8×C47C22×C4semidirect
227. #10625337C22×C4semidirect
228. #10625336C22×C4semidirect
229. #10625336C22×C4semidirect
230. #10625335C22×C4semidirect
231. #10625334C22×C4semidirect
255. #10625329C22×C4semidirect
256. C2×C47⋊C8C22×C4semidirect
333. Dic47#577semidirect
346. #2898D47semidirect
402. #419C2×D47semidirect
405. #417C2×D47semidirect
407. #416C2×D47semidirect
408. C2×#103C2×D47semidirect
414. C47C4×#577semidirect
416. 2−1+4C4×D47semidirect
522. #41C2×C4×D47semidirect
528. C2×Q8C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156899312
2−1+4×Dic472
#202565942
#202522672
#202522432
#202522252
#202522232
#202522032
#202522012
#202521562
C2×#156892082
#202519812
#202519152
#131×Dic472
C47×#28982
C4×#57747