Finite Group Databasebeta

← #27080510

Subgroups — #27080510

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×#15689935C211yesmaximal, characteristic
2#20256599C211yesmaximal, characteristic, complemented
3#20256594C211yesmaximal, characteristic, complemented
4#20252271C213yesmaximal, complemented
5#20252246C213yesmaximal, complemented
6#20252229C213yesmaximal, complemented
7#20252218C213yesmaximal, complemented
8#20252206C213yesmaximal, complemented
9#20252195C213yesmaximal, complemented
10#20252159C213yesmaximal, complemented
11C2×#15689210C213yesmaximal, complemented
12#20251918C211yesmaximal, characteristic, complemented
13#20251911C211yesmaximal, characteristic, complemented
14#131×Dic47C211yesmaximal, characteristic, complemented
15C47×#2912C211yesmaximal, characteristic, complemented
16C2×#13094071C2211yescharacteristic
17C2×#13094070C2211yescharacteristic
18#15689935C4116yescomplemented
19C2×#13094057C2213yes—
20C2×#13094052C2213yes—
21C2×#13094046C2213yes—
22C22×#10625325C2213yes—
23C2×#13094031C2211yescharacteristic
24#15689605—21no—
25#15689604C2213yes—
26#15689604C2213yescomplemented
27#15689602—23no—
28#15689600C2213yescomplemented
29#15689599—21no—
30#15689597C2213yes—
31#15689595—23no—
32#41×Dic47C2211yescharacteristic
33C4×#10625354—21no—
34#15689591C2213yes—
35#15689591C2213yescomplemented
36C4×#10625352—23no—
37C2×#13093989C2213yescomplemented
38C4×Q8×D47—21no—
39C2×#13093986C2213yes—
40C4×D4×D47—23no—
41#15689234C2216yescomplemented
42#15689229C2216yescomplemented
43#15689222C2216yescomplemented
44#15689222C2216yescomplemented
45#15689217C2213yescomplemented
46#15689217C2213yescomplemented
47#15689210C2216yescomplemented
48#15689210C2216yescomplemented
49#15689210C2213yescomplemented
50#15689210C2216yescomplemented
51#15689210C2213yescomplemented
52#15689210C2213yescomplemented
53#15689210C2211yescharacteristic, complemented
54#15689205C2213yescomplemented
55#15689205C2213yescomplemented
56#15689131C2213yescomplemented
57#15689127C2213yes—
58#15689122C2213yes—
59#15689122C2213yescomplemented
60#15689117C2213yes—
61#15689117C2213yescomplemented
62C2×#13093947C2213yescomplemented
63C2×#13093944C2213yes—
64#15689081C2213yescomplemented
65#15689078C2213yescomplemented
66M16×Dic47C2213yescomplemented
67C2×C8×Dic47C2213yescomplemented
68C2×#131×C47C2211yescharacteristic
69C47×#520C2211yescharacteristic
70C47×#520C2211yescharacteristic
71C47×#428C2213yescomplemented
72C47×#428C2213yescomplemented
73C47×#427C2213yescomplemented
74C2×#106×C47C2213yescomplemented
75#13094071—24no—
76#13094071C2×C418yescomplemented
77#13094070—24no—
78#13094070C2×C418yescomplemented
79C2×#10625354—21no—
80C2×#10625350C2313yes—
81C2×#10625350C2313yes—
82C2×#10625352—23no—
83C22×Dic94C2313yes—
84C2×Q8×D47—21no—
85C22×D188C2313yes—
86C2×D4×D47—23no—
87C22×C4×D47—23no—
88#13094057C2×C4124yescomplemented
89#13094052C2×C4124yescomplemented
90#13094046C2×C4124yescomplemented
91C2×Dic188C2313yes—
92C2×#10625325C2×C4124yescomplemented
93C2×#10625325C2316yes—
94C2×#10625325C2313yes—
95C2×#10625325C2311yescharacteristic
96C2×D376C2313yes—
97#13094031—24no—
98C2×#10625329C2313yes—
99C22×C47⋊C8C2313yes—
100Q8×Dic47D411yescharacteristic
101Q8×Dic47D411yescharacteristic
102C4×Dic94—23no—
103C4×Dic94—23no—
104#13093989—23no—
105#13093989—23no—
106#13093989C2311yescharacteristic
107#13093989C2313yes—
108#13093989C2313yes—
109#13093989C2313yes—
110#13093989C2316yes—
111C4×D188—23no—
112C4×D188—23no—
113D4×Dic47D413yes—
114D4×Dic47D413yes—
115#13093986—23no—
116#13093986—23no—
117#13093986C2313yes—
118#13093986C2316yes—
119#13093986C2313yes—
120#13093986C2313yes—
121#13093986C2311yescharacteristic
122C4×C22⋊D47—26no—
123C4×C22⋊D47—26no—
124(C22⋊D47)⋊C4—23no—
125(C22⋊D47)⋊C4—23no—
126(C22⋊D47)⋊C4—23no—
127(C22⋊D47)⋊C4—23no—
128#13093983C2313yes—
129#13093982—23no—
130#13093982—23no—
131#13093981—23no—
132#13093981—23no—
133#13093980—26no—
134C2×Dic47⋊C4—23no—
135C4⋊C4×D47—23no—
136C4⋊C4×D47—23no—
137C2×(C2×D47)⋊C4—23no—
138C22⋊C4×D47—26no—
139C2×C4×Dic47—23no—
140C2×C4×Dic47C2313yes—
141C42×D47—23no—
142C42×D47—23no—
143#13093947C2311yescharacteristic
144#13093947C2313yes—
145#13093947C2313yes—
146#13093947C2313yes—
147#13093947C2316yes—
148#13093944C2313yes—
149#13093944C2316yes—
150#13093944C2313yes—
151#13093944C2313yes—
152#13093944C2311yescharacteristic
153#13093934C2316yes—
154C8×Dic47C2313yes—
155C8×Dic47C2313yes—
156C8×Dic47C2311yescharacteristic
157C8×Dic47C2313yes—
158C2×#41×C47C2311yescharacteristic
159#131×C47C2×C418yescomplemented
160C2×M16×C47C2313yes—
161C22×C8×C47C2313yes—
162C4×Q8×C47—21no—
163C4×Q8×C47—21no—
164C4×D4×C47—23no—
165C4×D4×C47—23no—
166#117×C47C2313yes—
167#117×C47C2313yes—
168C2×C4⋊C4×C47C2313yes—
169C2×C4⋊C4×C47C2313yes—
170#107×C47C2313yes—
171#107×C47C2313yes—
172#106×C47C2316yes—
173#106×C47C2313yes—
174#106×C47C2311yescharacteristic
175C23×D47—23no—
176#41×C47C22×C414yes—
177#41×C47#4114yes—
178C2×Q8×C47C2×D411yescharacteristic
179C2×D4×C47C2×D413yes—
180C22×C4×C47—23no—
181C22×C4×C47—23no—
182C22×C4×C47C2413yes—
183C2×C22⋊D47—23no—
184C2×C22⋊D47—23no—
185C22×Dic47—23no—
186C22×Dic47C2×D413yes—
187C22×Dic47C2×D413yes—
188#10625354—28no—
189Q8×D47—28no—
190#10625352—224no—
191D4×D47—224no—
192#10625350—26no—
193#10625350—26no—
194#10625350C22×C4112yes—
195#10625350C22×C4112yescomplemented
196C2×D188—23no—
197C2×D188—26no—
198C2×D188C22×C4112yes—
199C2×D188C2411yescharacteristic
200C2×D188C2413yes—
201C2×C4×D47—23no—
202C2×C4×D47—23no—
203C2×C4×D47—21no—
204C2×C4×D47—23no—
205C2×C4×D47—23no—
206C2×C4×D47—23no—
207C2×C4×D47—26no—
208C2×C4×D47—86no—
209C2×Dic94—23no—
210C2×Dic94—26no—
211C2×Dic94C22×C4112yescomplemented
212C2×Dic94C2413yes—
213C2×Dic94C2411yescharacteristic
214M16×C47C22×C4112yescomplemented
215C2×C8×C47C22×C4112yescomplemented
216C2×C8×C47C2411yescharacteristic
217C2×C8×C47C2413yes—
218C4⋊C4×C47—23no—
219C4⋊C4×C47—23no—
220C4⋊C4×C47C2413yes—
221C4⋊C4×C47C2413yes—
222C4⋊C4×C47C2411yescharacteristic
223C4⋊C4×C47C2411yescharacteristic
224C22⋊C4×C47—23no—
225C22⋊C4×C47—23no—
226C42×C47—23no—
227C42×C47—23no—
228C22⋊Dic47C2×D416yes—
229(C2×D47)⋊C4—23no—
230(C2×D47)⋊C4—26no—
231(C2×D47)⋊C4—23no—
232(C2×D47)⋊C4—21no—
233(C2×D47)⋊C4—23no—
234C4⋊Dic47C2×D413yes—
235C4⋊Dic47C2×D413yes—
236Dic47⋊C4—23no—
237Dic47⋊C4—26no—
238Dic47⋊C4—23no—
239Dic47⋊C4—23no—
240Dic47⋊C4—21no—
241C4×Dic47—21no—
242C4×Dic47—23no—
243C4×Dic47—23no—
244C4×Dic47—23no—
245C4×Dic47—26no—
246C4×Dic47C2×D413yes—
247C4×Dic47C2×D413yes—
248C4×Dic47C2411yescharacteristic
249C4×Dic47C2413yes—
250#10625329—26no—
251C2×C47⋊C8—26no—
252C2×C47⋊C8C2411yescharacteristic
253C2×C47⋊C8C2413yes—
254Dic188C22×C4112yescomplemented
255D376C22×C4112yescomplemented
256#10625325C22×C4112yescomplemented
257#10625325C22×C4124yescomplemented
258#10625325C22×C414yescomplemented
259C23×C47C22×D413yes—
260C22×D47—21no—
261C22×D47—23no—
262C22×D47—212no—
263C22×D47—83no—
264C22×D47—83no—
265Q8×C47C4×D414yes—
266D4×C47C4×D4112yes—
267C2×C4×C47—21no—
268C2×C4×C47—23no—
269C2×C4×C47—21no—
270C2×C4×C47—23no—
271C2×C4×C47—83no—
272C2×C4×C47—83no—
273C2×C4×C47C23×C416yes—
274C2×C4×C47C22×D413yes—
275C2×C4×C47C2×#4116yes—
276C2×C4×C47C2511yescharacteristic
277C22⋊D47—212no—
278C22⋊D47—212no—
279C2×Dic47—212no—
280C2×Dic47—23no—
281C2×Dic47—21no—
282C2×Dic47—26no—
283C2×Dic47—43no—
284C2×Dic47C22×D413yes—
285C2×Dic47C22×D413yes—
286C2×Dic47C22×D411yescharacteristic
287C2×Dic47C22×D411yescharacteristic
288D188—212no—
289D188—23no—
290D188—21no—
291D188C23×C416yes—
292D188C23×C412yes—
293C4×D47—212no—
294C4×D47—212no—
295C4×D47—42no—
296C4×D47—46no—
297C4×D47—83no—
298C4×D47—83no—
299C4×D47—86no—
300Dic94—212no—
301Dic94—23no—
302Dic94—21no—
303Dic94C23×C416yes—
304Dic94C23×C412yes—
305C8×C47C23×C412yes—
306C8×C47C23×C416yes—
307C47⋊C8—21no—
308C47⋊C8—23no—
309C4×#577—471nomaximal, Sylow
310C22×C47—23no—
311C22×C47—23no—
312C22×C47C2×C4×D416yes—
313C22×C47C23×D411yescharacteristic
314C2×D47—22no—
315C2×D47—26no—
316C2×D47—41no—
317C2×D47—43no—
318C2×D47—43no—
319C2×D47—41no—
320C2×D47—812no—
321C4×C47—41no—
322C4×C47—43no—
323C4×C47—43no—
324C4×C47—41no—
325C4×C47C2×C4×D416yes—
326C4×C47C24×C411yescharacteristic
327C4×C47C22×#4111yescharacteristic
328Dic47—23no—
329Dic47—21no—
330Dic47—26no—
331Dic47—22no—
332Dic47—23no—
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#2912D4711yescharacteristic, complemented
346#2898—471no—
347#2897—471no—
348C4×#131—471no—
349C2×C47—26no—
350C2×C47C22×C4×D411yescharacteristic
351C2×C47C2×#57711yescharacteristic
352C2×C47#358411yescharacteristic
353D47—42no—
354D47—46no—
355C2×2−1+4—471no—
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—473no—
365#520—473no—
366#520—943no—
367#520—941no—
368#520C2×D4711yescharacteristic
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—471no—
394C4×SD16—473no—
395C4×SD16—473no—
396C4×D8—473no—
397C4×D8—473no—
398#428C2×D4713yescomplemented
399#428C2×D4713yescomplemented
400#427C2×D4713yescomplemented
401C2×#106C2×D4713yescomplemented
402#419—473no—
403#418—473no—
404#417—473no—
405#417—473no—
406#416—473no—
407#416—473no—
408C2×#103—473no—
409C2×#102—473no—
410#405—473no—
411#405—473no—
412C4×M16—473no—
413C2×C4×C8—473no—
414C47C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—478no—
4162−1+4—944no—
417H(5,𝔽2)—478no—
418H(5,𝔽2)—944no—
419C2×#41—473no—
420C2×#41—473no—
421C2×#41—941no—
422C2×#41—943no—
423C2×#41C22×D4711yescharacteristic
424C22×Q8—473no—
425C22×Q8—941no—
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—944no—
439#131C4×D4718yescomplemented
440C2×M16—473no—
441C2×M16C22×D4713yes—
442C22×C8—473no—
443C22×C8C22×D4713yes—
444C4×Q8—21no—
445C4×Q8—21no—
446C4×Q8—471no—
447C4×Q8—471no—
448C4×Q8—473no—
449C4×Q8—476no—
450C4×Q8—471no—
451C4×Q8—473no—
452C4×Q8—473no—
453C4×Q8—943no—
454C4×Q8—943no—
455C4×Q8—943no—
456C4×Q8—943no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—473no—
460C4×D4—473no—
461C4×D4—473no—
462C4×D4—476no—
463C4×D4—471no—
464C4×D4—473no—
465C4×D4—473no—
466C4×D4—943no—
467C4×D4—943no—
468C4×D4—943no—
469C4×D4—943no—
470C4×D4—943no—
471C4×D4—943no—
472C4×D4—943no—
473C4×D4—943no—
474C4×D4—946no—
475C4×D4—946no—
476#117—473no—
477#117—943no—
478#117—943no—
479#117—946no—
480#117—943no—
481#117—943no—
482#117C22×D4713yes—
483#117C22×D4713yes—
484C2×C4⋊C4—943no—
485C2×C4⋊C4—943no—
486C2×C4⋊C4—943no—
487C2×C4⋊C4C22×D4713yes—
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#107C22×D4713yes—
496#107C22×D4713yes—
497#106C22×D4713yes—
498#106C22×D4716yes—
499#106C22×D4711yescharacteristic
500#103—473no—
501#103—476no—
502#103—471no—
503#103—473no—
504#103—473no—
505#102—473no—
506#102—476no—
507#102—471no—
508#102—473no—
509#102—473no—
510#97—476no—
511C4×C8—471no—
512C4×C8—473no—
513C4×C8—473no—
514C4×C8—473no—
515C24—943no—
516#41—4712no—
517#41—4712no—
518#41—948no—
519#41—9424no—
520#41—946no—
521#41—946no—
522#41C2×C4×D4714yes—
523#41#1062535414yes—
524C2×Q8—4712no—
525C2×Q8—473no—
526C2×Q8—471no—
527C2×Q8—948no—
528C2×Q8—943no—
529C2×Q8—946no—
530C2×Q8D4×D4711yescharacteristic
531C2×D4—4712no—
532C2×D4—471no—
533C2×D4—473no—
534C2×D4—943no—
535C2×D4—943no—
536C2×D4—9424no—
537C2×D4—943no—
538C2×D4—946no—
539C2×D4D4×D4713yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—473no—
543C22×C4—473no—
544C22×C4—943no—
545C22×C4—943no—
546C22×C4—946no—
547C22×C4—941no—
548C22×C4—943no—
549C22×C4—943no—
550C22×C4—943no—
551C22×C4—943no—
552C22×C4—3766no—
553C22×C4C23×D4713yes—
554Q16—4712no—
555SD16—4712no—
556SD16—4724no—
557SD16—474no—
558D8—4712no—
559M16—946no—
560M16C2×C4×D47112yescomplemented
561C2×C8—471no—
562C2×C8—473no—
563C2×C8—946no—
564C2×C8C2×C4×D47112yescomplemented
565C2×C8C23×D4711yescharacteristic
566C2×C8C23×D4713yes—
567C4⋊C4—23no—
568C4⋊C4—23no—
569C4⋊C4—473no—
570C4⋊C4—473no—
571C4⋊C4—943no—
572C4⋊C4—943no—
573C4⋊C4—946no—
574C4⋊C4—941no—
575C4⋊C4—943no—
576C4⋊C4C23×D4713yes—
577C4⋊C4C23×D4711yescharacteristic
578C4⋊C4C23×D4713yes—
579C4⋊C4C23×D4711yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—23no—
582C22⋊C4—476no—
583C22⋊C4—943no—
584C22⋊C4—943no—
585C22⋊C4—946no—
586C22⋊C4—941no—
587C22⋊C4—943no—
588C42—23no—
589C42—23no—
590C42—473no—
591C42—473no—
592C42—471no—
593C42—473no—
594C42—941no—
595C42—943no—
596C42—943no—
597C42—943no—
598C42—946no—
599C23—9412no—
600C23—941no—
601C23—943no—
602C23—3763no—
603C23—3763no—
604C23C2×D4×D4713yes—
605Q8—476no—
606Q8—472no—
607Q8—9412no—
608Q8—943no—
609Q8—941no—
610Q8#1309398614yes—
611D4—472no—
612D4—476no—
613D4—9412no—
614D4—9412no—
615D4—9412no—
616D4—943no—
617D4—941no—
618D4#13093986112yes—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—23no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—471no—
626C2×C4—471no—
627C2×C4—473no—
628C2×C4—473no—
629C2×C4—946no—
630C2×C4—9412no—
631C2×C4—941no—
632C2×C4—943no—
633C2×C4—9412no—
634C2×C4—9412no—
635C2×C4—3763no—
636C2×C4—3763no—
637C2×C4—3766no—
638C2×C4—1882no—
639C2×C4—1886no—
640C2×C4—1883no—
641C2×C4C22×C4×D4716yes—
642C2×C4C2×D4×D4713yes—
643C2×C4C2×#1062535416yes—
644C2×C4C24×D4711yescharacteristic
645C8—941no—
646C8—943no—
647C8C22×C4×D4712yes—
648C8C22×C4×D4716yes—
649C22—23no—
650C22—23no—
651C22—942no—
652C22—946no—
653C22—37612no—
654C22—1883no—
655C22—1881no—
656C22—1881no—
657C22—1883no—
658C22C2×#1309398616yes—
659C22C22×D4×D4711yescharacteristic
660C4—43no—
661C4—41no—
662C4—43no—
663C4—41no—
664C4—472no—
665C4—942no—
666C4—946no—
667C4—943no—
668C4—943no—
669C4—941no—
670C4C2×#1309398616yes—
671C4C23×C4×D4711yescharacteristic
672C4C22×#1062535411yescharacteristic
673C2—26no—
674C2—1886no—
675C2—1882no—
676C2C22×#1309398611yescharacteristic
677C2#577×D4711yescharacteristic
678C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC47×#2912C2
socleC22×C47C23×D4
prime radicalC2×#15689935C2
cosocleC2×C4×C47C25
hypercenter#2912D47
hypocenterC47C4×#577
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2912

Complements

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

NH ≅ G/Ntype
2. #20256599C2semidirect
3. #20256594C2semidirect
4. #20252271C2semidirect
5. #20252246C2semidirect
6. #20252229C2semidirect
7. #20252218C2semidirect
8. #20252206C2semidirect
9. #20252195C2semidirect
10. #20252159C2semidirect
11. C2×#15689210C2semidirect
12. #20251918C2semidirect
13. #20251911C2semidirect
14. #131×Dic47C2semidirect
15. C47×#2912C2semidirect
18. #15689935C4semidirect
26. #15689604C22semidirect
28. #15689600C22semidirect
35. #15689591C22semidirect
37. C2×#13093989C22semidirect
41. #15689234C22semidirect
42. #15689229C22semidirect
43. #15689222C22semidirect
44. #15689222C22semidirect
45. #15689217C22semidirect
46. #15689217C22semidirect
47. #15689210C22semidirect
48. #15689210C22semidirect
49. #15689210C22semidirect
50. #15689210C22semidirect
51. #15689210C22semidirect
52. #15689210C22semidirect
53. #15689210C22semidirect
54. #15689205C22semidirect
55. #15689205C22semidirect
56. #15689131C22semidirect
59. #15689122C22semidirect
61. #15689117C22semidirect
62. C2×#13093947C22semidirect
64. #15689081C22semidirect
65. #15689078C22semidirect
66. M16×Dic47C22semidirect
67. C2×C8×Dic47C22semidirect
71. C47×#428C22semidirect
72. C47×#428C22semidirect
73. C47×#427C22semidirect
74. C2×#106×C47C22semidirect
76. #13094071C2×C4semidirect
78. #13094070C2×C4semidirect
88. #13094057C2×C4semidirect
89. #13094052C2×C4semidirect
90. #13094046C2×C4semidirect
92. C2×#10625325C2×C4semidirect
159. #131×C47C2×C4semidirect
195. #10625350C22×C4semidirect
211. C2×Dic94C22×C4semidirect
214. M16×C47C22×C4semidirect
215. C2×C8×C47C22×C4semidirect
254. Dic188C22×C4semidirect
255. D376C22×C4semidirect
256. #10625325C22×C4semidirect
257. #10625325C22×C4semidirect
258. #10625325C22×C4semidirect
333. Dic47#577semidirect
345. #2912D47semidirect
398. #428C2×D47semidirect
399. #428C2×D47semidirect
400. #427C2×D47semidirect
401. C2×#106C2×D47semidirect
414. C47C4×#577semidirect
439. #131C4×D47semidirect
560. M16C2×C4×D47semidirect
564. C2×C8C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156899352
#202565992
#202565942
#202522712
#202522462
#202522292
#202522182
#202522062
#202521952
#202521592
C2×#156892102
#202519182
#202519112
#131×Dic472
C47×#29122
C4×#57747