Finite Group Databasebeta

← C4×#15689935 #27080515

Subgroups — C4×#15689935 #27080515

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
2C4×#13094071C211yesmaximal, characteristic, complemented
3C4×#13094070C211yesmaximal, characteristic, complemented
4#20252273C213yesmaximal, complemented
5#20252249C213yesmaximal, complemented
6#20252233C213yesmaximal, complemented
7#20252222C213yesmaximal, complemented
8C4×#13094057C213yesmaximal, complemented
9C4×#13094052C213yesmaximal, complemented
10C4×#13094046C213yesmaximal, complemented
11C2×C4×#10625325C213yesmaximal, complemented
12#20251983C211yesmaximal, characteristic, complemented
13#20251922C211yesmaximal, characteristic, complemented
14#20251915C211yesmaximal, characteristic, complemented
15C4×#131×C47C211yesmaximal, characteristic, complemented
16C2×#13094071C2211yescharacteristic
17C2×#13094070C2211yescharacteristic
18#15689935C4116yesdirect product factor
19C2×#13094057C2213yes—
20C2×#13094052C2213yes—
21C2×#13094046C2213yes—
22C22×#10625325C2213yes—
23#15689606C2211yescharacteristic
24#15689606C2211yescharacteristic
25#15689605—21no—
26#15689603C2213yes—
27#15689603C2213yescomplemented
28#15689602—23no—
29#15689600C2213yescomplemented
30#15689599—21no—
31#15689597C2213yes—
32#15689595—23no—
33C4×#10625354—21no—
34C4×#10625350C2213yes—
35C4×#10625350C2213yescomplemented
36C4×#10625352—23no—
37C2×C4×Dic94C2213yescomplemented
38C4×Q8×D47—21no—
39C2×C4×D188C2213yes—
40C4×D4×D47—23no—
41#15689236C2216yescomplemented
42#15689231C2216yescomplemented
43#15689225C2216yescomplemented
44#15689225C2216yescomplemented
45C4×Dic188C2213yescomplemented
46C4×Dic188C2213yescomplemented
47C4×#10625325C2211yescharacteristic, complemented
48C4×#10625325C2213yescomplemented
49C4×#10625325C2213yescomplemented
50C4×#10625325C2213yescomplemented
51C4×#10625325C2216yescomplemented
52C4×#10625325C2216yescomplemented
53C4×#10625325C2216yescomplemented
54C4×D376C2213yescomplemented
55C4×D376C2213yescomplemented
56#15689165C2213yescomplemented
57#15689165C2213yescomplemented
58#15689161C2213yescomplemented
59C2×#13093956C2213yescomplemented
60#15689133C2213yescomplemented
61#15689129C2213yes—
62#15689125C2213yes—
63#15689125C2213yescomplemented
64#15689120C2213yes—
65#15689120C2213yescomplemented
66C2×#13093949C2213yescomplemented
67C2×#13093946C2213yes—
68C2×#131×C47C2211yescharacteristic
69C2×#131×C47C2211yescharacteristic
70C4×#41×C47C2211yescharacteristic
71C47×#405C2213yescomplemented
72C47×#405C2213yescomplemented
73C4×M16×C47C2213yescomplemented
74C2×C4×C8×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—
97Q8×Dic47—21no—
98Q8×Dic47—21no—
99C4×Dic94—23no—
100C4×Dic94—23no—
101C4×Dic94C2311yescharacteristic
102C4×Dic94C2313yes—
103C4×Dic94C2313yes—
104C4×Dic94C2313yes—
105C4×Dic94C2316yes—
106#13093989—23no—
107#13093989—23no—
108C4×D188—23no—
109C4×D188—23no—
110C4×D188C2313yes—
111C4×D188C2316yes—
112C4×D188C2313yes—
113C4×D188C2313yes—
114C4×D188C2311yescharacteristic
115D4×Dic47—23no—
116D4×Dic47—23no—
117#13093986—23no—
118#13093986—23no—
119C4×C22⋊D47—23no—
120C4×C22⋊D47—23no—
121C4×C22⋊D47—23no—
122C4×C22⋊D47—23no—
123(C22⋊D47)⋊C4—26no—
124(C22⋊D47)⋊C4—26no—
125#13093983C2313yes—
126#13093983C2313yes—
127#13093982—23no—
128#13093982—23no—
129#13093981—23no—
130#13093981—23no—
131#13093980—26no—
132C2×C4⋊Dic47C2313yes—
133C2×C4⋊Dic47C2313yes—
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—
140C42×D47—23no—
141C42×D47—23no—
142#13093958C2313yes—
143#13093958C2313yes—
144#13093956C2316yes—
145#13093956C2313yes—
146#13093956C2311yescharacteristic
147#13093949C2311yescharacteristic
148#13093949C2313yes—
149#13093949C2313yes—
150#13093949C2313yes—
151#13093949C2316yes—
152#13093946C2313yes—
153#13093946C2316yes—
154#13093946C2313yes—
155#13093946C2313yes—
156#13093946C2311yescharacteristic
157C2×#41×C47C2311yescharacteristic
158#131×C47—24no—
159#131×C47C2×C418yescomplemented
160C2×M16×C47C2313yes—
161C2×M16×C47C2313yes—
162C22×C8×C47C2313yes—
163C22×C8×C47C2313yes—
164C4×Q8×C47D411yescharacteristic
165C4×Q8×C47D411yescharacteristic
166C4×D4×C47D413yes—
167C4×D4×C47D413yes—
168#117×C47C2313yes—
169C2×C42×C47C2313yes—
170#97×C47C2316yes—
171C4×C8×C47C2313yes—
172C4×C8×C47C2313yes—
173C4×C8×C47C2311yescharacteristic
174C4×C8×C47C2313yes—
175C23×D47—23no—
176#41×C47C22×C414yes—
177#41×C47#4114yes—
178C2×Q8×C47C2×D411yescharacteristic
179C2×D4×C47C2×D413yes—
180C22×C4×C47C2×D413yes—
181C22×C4×C47C2×D413yes—
182C22×C4×C47C2413yes—
183C2×C22⋊D47—23no—
184C2×C22⋊D47—23no—
185C22×Dic47—23no—
186C22×Dic47—23no—
187C22×Dic47—23no—
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×C47—26no—
215M16×C47C22×C4112yescomplemented
216C2×C8×C47—26no—
217C2×C8×C47C22×C4112yescomplemented
218C2×C8×C47C2411yescharacteristic
219C2×C8×C47C2413yes—
220C2×C8×C47C2411yescharacteristic
221C2×C8×C47C2413yes—
222C4⋊C4×C47C2×D413yes—
223C4⋊C4×C47C2×D413yes—
224C22⋊C4×C47C2×D416yes—
225C42×C47C2×D413yes—
226C42×C47C2×D413yes—
227C42×C47C2411yescharacteristic
228C42×C47C2413yes—
229C22⋊Dic47—23no—
230C22⋊Dic47—23no—
231(C2×D47)⋊C4—23no—
232(C2×D47)⋊C4—26no—
233(C2×D47)⋊C4—23no—
234(C2×D47)⋊C4—21no—
235(C2×D47)⋊C4—23no—
236C4⋊Dic47—23no—
237C4⋊Dic47—23no—
238C4⋊Dic47C2413yes—
239C4⋊Dic47C2411yescharacteristic
240C4⋊Dic47C2413yes—
241C4⋊Dic47C2411yescharacteristic
242Dic47⋊C4—23no—
243Dic47⋊C4—26no—
244Dic47⋊C4—23no—
245Dic47⋊C4—23no—
246Dic47⋊C4—21no—
247C4×Dic47—21no—
248C4×Dic47—23no—
249C4×Dic47—23no—
250C4×Dic47—23no—
251C4×Dic47—23no—
252C4×Dic47—23no—
253C4×Dic47—26no—
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—26no—
268C2×C4×C47—43no—
269C2×C4×C47C23×C416yes—
270C2×C4×C47C22×D413yes—
271C2×C4×C47C22×D413yes—
272C2×C4×C47C22×D411yescharacteristic
273C2×C4×C47C22×D413yes—
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C2×#4116yes—
276C2×C4×C47C2511yescharacteristic
277C22⋊D47—212no—
278C22⋊D47—212no—
279C2×Dic47—212no—
280C2×Dic47—23no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—23no—
284C2×Dic47—21no—
285C2×Dic47—23no—
286C2×Dic47—83no—
287C2×Dic47—83no—
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×C47—21no—
306C8×C47—23no—
307C8×C47C23×C412yes—
308C8×C47C23×C416yes—
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—23no—
322C4×C47—21no—
323C4×C47—23no—
324C4×C47C2×C4×D416yes—
325C4×C47#57712yescomplemented
326C4×C47C24×C411yescharacteristic
327C4×C47C22×#4111yescharacteristic
328Dic47—26no—
329Dic47—22no—
330Dic47—41no—
331Dic47—43no—
332Dic47—43no—
333Dic47—41no—
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#2898—471no—
347#2897—471no—
348C4×#131D4711yescharacteristic, complemented
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×#131C2×D4711yescharacteristic
363C2×#131C2×D4711yescharacteristic
364#520—471no—
365#520—471no—
366#520—473no—
367#520—473no—
368#520—941no—
369#520—943no—
370#519—473no—
371#519—941no—
372#518—473no—
373#518—943no—
374C4×#41—473no—
375C4×#41—473no—
376C4×#41—941no—
377C4×#41—943no—
378C4×#41C2×D4711yescharacteristic
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#428—473no—
399#428—473no—
400#427—473no—
401C2×#106—473no—
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#405C2×D4713yescomplemented
411#405C2×D4713yescomplemented
412C4×M16C2×D4713yescomplemented
413C2×C4×C8C2×D4713yescomplemented
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—24no—
439#131C4×D4718yescomplemented
440C2×M16C22×D4713yes—
441C2×M16C22×D4713yes—
442C22×C8C22×D4713yes—
443C22×C8C22×D4713yes—
444C4×Q8—473no—
445C4×Q8—476no—
446C4×Q8—471no—
447C4×Q8—473no—
448C4×Q8—473no—
449C4×Q8—941no—
450C4×Q8—941no—
451C4×Q8—943no—
452C4×Q8—943no—
453C4×Q8—943no—
454C4×Q8—943no—
455C4×Q8D18811yescharacteristic
456C4×Q8D18811yescharacteristic
457C4×D4—473no—
458C4×D4—476no—
459C4×D4—471no—
460C4×D4—473no—
461C4×D4—473no—
462C4×D4—943no—
463C4×D4—943no—
464C4×D4—943no—
465C4×D4—943no—
466C4×D4—943no—
467C4×D4—943no—
468C4×D4—943no—
469C4×D4—943no—
470C4×D4—946no—
471C4×D4—946no—
472C4×D4—943no—
473C4×D4—943no—
474C4×D4D18813yes—
475C4×D4D18813yes—
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—473no—
486C2×C4⋊C4—943no—
487C2×C4⋊C4—943no—
488C2×C4⋊C4—943no—
489C2×C22⋊C4—943no—
490C2×C22⋊C4—946no—
491C2×C42—943no—
492C2×C42—943no—
493C2×C42—943no—
494C2×C42C22×D4713yes—
495#107—473no—
496#107—473no—
497#106—473no—
498#106—476no—
499#106—471no—
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#97C22×D4716yes—
511C4×C8C22×D4711yescharacteristic
512C4×C8C22×D4713yes—
513C4×C8C22×D4713yes—
514C4×C8C22×D4713yes—
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#1062535014yes—
524C2×Q8—4712no—
525C2×Q8—473no—
526C2×Q8—471no—
527C2×Q8—948no—
528C2×Q8—943no—
529C2×Q8—946no—
530C2×Q8C2×D18811yescharacteristic
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×D4C2×D18813yes—
540C22×C4—943no—
541C22×C4—943no—
542C22×C4—943no—
543C22×C4—943no—
544C22×C4—943no—
545C22×C4—943no—
546C22×C4—943no—
547C22×C4—946no—
548C22×C4—941no—
549C22×C4—943no—
550C22×C4—3766no—
551C22×C4C2×D18813yes—
552C22×C4C2×D18813yes—
553C22×C4C23×D4713yes—
554Q16—4712no—
555SD16—4712no—
556SD16—4724no—
557SD16—474no—
558D8—4712no—
559M16—26no—
560M16C2×C4×D47112yescomplemented
561C2×C8—26no—
562C2×C8C2×C4×D47112yescomplemented
563C2×C8C23×D4711yescharacteristic
564C2×C8C23×D4713yes—
565C2×C8C23×D4711yescharacteristic
566C2×C8C23×D4713yes—
567C4⋊C4—473no—
568C4⋊C4—471no—
569C4⋊C4—473no—
570C4⋊C4—471no—
571C4⋊C4—943no—
572C4⋊C4—946no—
573C4⋊C4—943no—
574C4⋊C4—941no—
575C4⋊C4—943no—
576C4⋊C4—943no—
577C4⋊C4—943no—
578C4⋊C4C2×D18813yes—
579C4⋊C4C2×D18813yes—
580C22⋊C4—943no—
581C22⋊C4—943no—
582C22⋊C4—943no—
583C22⋊C4—946no—
584C22⋊C4—943no—
585C22⋊C4—941no—
586C22⋊C4—943no—
587C22⋊C4C2×D18816yes—
588C42—943no—
589C42—943no—
590C42—943no—
591C42—943no—
592C42—946no—
593C42—941no—
594C42—943no—
595C42C2×D18813yes—
596C42C2×D18813yes—
597C42C23×D4713yes—
598C42C23×D4711yescharacteristic
599C23—9412no—
600C23—941no—
601C23—943no—
602C23—3763no—
603C23—3763no—
604C23C22×D18813yes—
605Q8—476no—
606Q8—472no—
607Q8—9412no—
608Q8—943no—
609Q8—941no—
610Q8C4×D18814yes—
611D4—472no—
612D4—476no—
613D4—9412no—
614D4—9412no—
615D4—9412no—
616D4—943no—
617D4—941no—
618D4C4×D188112yes—
619C2×C4—26no—
620C2×C4—43no—
621C2×C4—9412no—
622C2×C4—941no—
623C2×C4—943no—
624C2×C4—9412no—
625C2×C4—9412no—
626C2×C4—941no—
627C2×C4—941no—
628C2×C4—943no—
629C2×C4—943no—
630C2×C4—3763no—
631C2×C4—3763no—
632C2×C4—3766no—
633C2×C4—3763no—
634C2×C4—3763no—
635C2×C4—1882no—
636C2×C4—1886no—
637C2×C4C22×C4×D4716yes—
638C2×C4C22×D18813yes—
639C2×C4C22×D18813yes—
640C2×C4C22×D18811yescharacteristic
641C2×C4C22×D18813yes—
642C2×C4C22×D18811yescharacteristic
643C2×C4C2×#1062535016yes—
644C2×C4C24×D4711yescharacteristic
645C8—21no—
646C8—23no—
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×C4×D18816yes—
659C22C23×D18811yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—942no—
664C4—946no—
665C4—1883no—
666C4—1881no—
667C4—1881no—
668C4—1883no—
669C4C2×C4×D18816yes—
670C4#1568993512yesdirect product factor
671C4C23×C4×D4711yescharacteristic
672C4C22×#1062535011yescharacteristic
673C2—26no—
674C2—1886no—
675C2—1882no—
676C2C22×C4×D18811yescharacteristic
677C2C2×#1568993511yescharacteristic
678C2#2025816211yescharacteristic
subgroupG/H
centerC2×C4C22×D188
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC4×#131×C47C2
socleC22×C47C23×D4
prime radicalC2×#15689935C2
cosocleC2×C4×C47C25
hypercenterC4×#131D47
hypocenterC47C4×#577
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×#131

Complements

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

NH ≅ G/Ntype
2. C4×#13094071C2semidirect
3. C4×#13094070C2semidirect
4. #20252273C2semidirect
5. #20252249C2semidirect
6. #20252233C2semidirect
7. #20252222C2semidirect
8. C4×#13094057C2semidirect
9. C4×#13094052C2semidirect
10. C4×#13094046C2semidirect
11. C2×C4×#10625325C2semidirect
12. #20251983C2semidirect
13. #20251922C2semidirect
14. #20251915C2semidirect
15. C4×#131×C47C2semidirect
18. #15689935C4direct (N × H)
27. #15689603C22semidirect
29. #15689600C22semidirect
35. C4×#10625350C22semidirect
37. C2×C4×Dic94C22semidirect
41. #15689236C22semidirect
42. #15689231C22semidirect
43. #15689225C22semidirect
44. #15689225C22semidirect
45. C4×Dic188C22semidirect
46. C4×Dic188C22semidirect
47. C4×#10625325C22semidirect
48. C4×#10625325C22semidirect
49. C4×#10625325C22semidirect
50. C4×#10625325C22semidirect
51. C4×#10625325C22semidirect
52. C4×#10625325C22semidirect
53. C4×#10625325C22semidirect
54. C4×D376C22semidirect
55. C4×D376C22semidirect
56. #15689165C22semidirect
57. #15689165C22semidirect
58. #15689161C22semidirect
59. C2×#13093956C22semidirect
60. #15689133C22semidirect
63. #15689125C22semidirect
65. #15689120C22semidirect
66. C2×#13093949C22semidirect
71. C47×#405C22semidirect
72. C47×#405C22semidirect
73. C4×M16×C47C22semidirect
74. C2×C4×C8×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
215. M16×C47C22×C4semidirect
217. C2×C8×C47C22×C4semidirect
254. Dic188C22×C4semidirect
255. D376C22×C4semidirect
256. #10625325C22×C4semidirect
257. #10625325C22×C4semidirect
258. #10625325C22×C4semidirect
325. C4×C47#577semidirect
348. C4×#131D47semidirect
410. #405C2×D47semidirect
411. #405C2×D47semidirect
412. C4×M16C2×D47semidirect
413. C2×C4×C8C2×D47semidirect
414. C47C4×#577semidirect
439. #131C4×D47semidirect
560. M16C2×C4×D47semidirect
562. C2×C8C2×C4×D47semidirect
670. C4#15689935direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156899352
C4×#130940712
C4×#130940702
#202522732
#202522492
#202522332
#202522222
C4×#130940572
C4×#130940522
C4×#130940462
C2×C4×#106253252
#202519832
#202519222
#202519152
C4×#131×C472
C4×#57747