Finite Group Databasebeta

← C2×#10594750 #11918812

Subgroups — C2×#10594750 #11918812

Order 1152.

3157 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64320C211yesmaximal, characteristic, complemented
2C2×#64313C211yesmaximal, characteristic, complemented
3C2×#64125C211yesmaximal, characteristic, complemented
4C2×C3×#914C212yesmaximal, complemented
5C2×#63947C212yesmaximal, complemented
6C2×#63941C211yesmaximal, characteristic, complemented
7C2×#63927C211yesmaximal, characteristic, complemented
8C2×D3×#213C212yesmaximal, complemented
9#10594750C2116yesmaximal, direct product factor
10C2×#63805C211yesmaximal, characteristic, complemented
11C2×#63797C211yesmaximal, characteristic, complemented
12C2×#63795C212yesmaximal, complemented
13C2×#5774—32nomaximal
14C2×#3832C2211yescharacteristic, complemented
15C2×#3830C2211yescharacteristic, complemented
16C2×C3×#239C2212yescomplemented
17C2×C3×D3×D4C2212yescomplemented
18C2×D3×#67—22no—
19C22×#625—21no—
20C2×#3805—21no—
21#64320—24no—
22#64320C2218yescomplemented
23#64313—24no—
24#64313C2218yescomplemented
25C2×#3802—21no—
26C2×#3802C2211yescharacteristic, complemented
27C2×#3802C2211yescharacteristic, complemented
28C2×D3×D12—22no—
29C2×D3×D12C2212yescomplemented
30C2×#3798—21no—
31C2×#3798C2211yescharacteristic
32C2×#3795C2212yescomplemented
33C2×C32×SD16C2211yescharacteristic, complemented
34C2×#3756C2211yescharacteristic, complemented
35C2×#3753C2211yescharacteristic, complemented
36#64125C2218yescomplemented
37C2×#3744C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic, complemented
39C2×C3×#215C2212yescomplemented
40C2×C3×#213C2212yescomplemented
41C3×#914C22116yescomplemented
42C2×C3×D24C2212yescomplemented
43C2×C3×ΓL(1,𝔽25)C2212yescomplemented
44#63947C22116yescomplemented
45#63941C2218yescomplemented
46#63927C2218yescomplemented
47D3×#213C22116yescomplemented
48C2×#3716C2212yescomplemented
49C2×#3714C2212yescomplemented
50C2×#3713C2212yescomplemented
51C2×#3712C2211yescharacteristic, complemented
52C2×D3×C3⋊C8C2212yescomplemented
53#63805C2218yescomplemented
54#63797C2218yescomplemented
55#63795C22116yescomplemented
56C2×#1009—32no—
57C2×#1004—32no—
58C2×C3×AGL(1,ℤ/8)—32no—
59C2×#950—32no—
60C22×#213—32no—
61#5774—332no—
62C2×#916—32no—
63C2×#916—32no—
64C2×#916—61no—
65C2×#914—32no—
66C2×#914D312yescomplemented
67C2×#911—32no—
68C2×#911—32no—
69C2×D3×D8—32no—
70C2×D3×D8—32no—
71C2×#908—32no—
72C2×#907—32no—
73C23×C3×D3—22no—
74C22×D32—21no—
75C22×D32—21no—
76C22×D32—22no—
77C2×C32×Q8C2311yescharacteristic
78C2×C32×D4C2311yescharacteristic
79C2×#638—21no—
80C22×C3⋊Dic3—21no—
81#3832—22no—
82#3832C2314yescomplemented
83#3830—22no—
84#3830C2314yescomplemented
85C2×C4⋊(C3⋊D3)—21no—
86C2×C4⋊(C3⋊D3)C2311yescharacteristic
87C2×C4×C3⋊D3—21no—
88C2×C4×C3⋊D3C2311yescharacteristic
89C2×#634C2311yescharacteristic
90C2×C3×#67—22no—
91C3×#239—24no—
92C3×#239C2318yescomplemented
93C3×D3×D4—24no—
94C3×D3×D4C2318yescomplemented
95C2×C3×D12—22no—
96C2×C3×D12C2312yes—
97C2×C3×D12C2312yes—
98C2×C3×C4×D3—22no—
99C2×C3×C4×D3C2312yes—
100D3×#67—216no—
101C2×#627D411yescharacteristic
102C2×#626—22no—
103C2×#626D412yes—
104C2×#625—22no—
105C2×#625—21no—
106C2×#625—21no—
107C2×#625—28no—
108C2×#625D411yescharacteristic
109#3805—28no—
110C2×D3×Dic3—22no—
111#3802—22no—
112#3802—22no—
113#3802—28no—
114#3802C2314yescomplemented
115#3802C2314yescomplemented
116D3×D12—24no—
117D3×D12—216no—
118D3×D12C2318yescomplemented
119#3798—28no—
120#3798D414yes—
121#3798C2314yes—
122#3795—24no—
123#3795C2318yescomplemented
124C32×SD16C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3756C2314yescomplemented
127#3753C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3744C2314yescomplemented
130C8×C3⋊D3C2314yescomplemented
131C3×#215C2318yescomplemented
132C3×#213C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×D24C2318yescomplemented
135C3×ΓL(1,𝔽25)C2318yescomplemented
136#3716C2318yescomplemented
137#3714C2318yescomplemented
138#3713C2318yescomplemented
139#3712C2314yescomplemented
140D3×C3⋊C8C2318yescomplemented
141C2×#576—91noSylow
142C2×C3×#41—32no—
143C22×C3×D4—32no—
144C22×#67—62no—
145C22×#67—62no—
146#1009—316no—
147#1009—68no—
148C2×#239—32no—
149C2×#239—61no—
150C2×#239C2×D312yescomplemented
151#1004—316no—
152#1004—68no—
153C2×#237—32no—
154C2×#237—32no—
155C2×#237—61no—
156C2×#237—62no—
157C2×D3×D4—32no—
158C2×D3×D4—32no—
159C2×D3×D4—32no—
160C2×D3×D4—62no—
161C2×D3×D4—62no—
162C2×D3×D4—62no—
163C2×D3×D4C2×D312yescomplemented
164C2×#235—32no—
165C2×#235—32no—
166C2×#235—62no—
167C22×D12—32no—
168C22×D12—62no—
169C3×AGL(1,ℤ/8)—316no—
170C2×C3×SD16—21no—
171C2×C3×SD16—32no—
172C2×C3×SD16C2×D312yescomplemented
173C2×C3×D8—32no—
174C2×C3×D8—32no—
175C2×C3×M16—32no—
176#950—316no—
177C2×#216—32no—
178C2×#216—61no—
179C2×#215C2×D312yescomplemented
180C2×#214—32no—
181C2×#213—32no—
182C2×#213—32no—
183C2×#213—32no—
184C2×#213—316no—
185C2×#213—32no—
186C2×#213—61no—
187C2×#213C2×D312yescomplemented
188C22×C3⋊C8—32no—
189#916—316no—
190#916—316no—
191#916—68no—
192#914—316no—
193#914C2×D3116yescomplemented
194#911—316no—
195#911—316no—
196D3×D8—316no—
197D3×D8—316no—
198#908—316no—
199#907—316no—
200C2×D24—32no—
201C2×D24C2×D312yescomplemented
202C2×#204—32no—
203C2×#204—32no—
204C2×#204—61no—
205C2×ΓL(1,𝔽25)—32no—
206C2×ΓL(1,𝔽25)C2×D312yescomplemented
207C2×D3×C8—32no—
208C2×D3×C8—32no—
209C2×D3×C8—61no—
210C23×C32—21no—
211C22×C3⋊D3—21no—
212C22×C3⋊D3C2×D411yescharacteristic
213C22×C3×D3—22no—
214C22×C3×D3—22no—
215C22×C3×D3—28no—
216C22×C3×D3—84no—
217C22×C3×D3C2×D412yes—
218C2×D32—24no—
219C2×D32—24no—
220C2×D32—28no—
221C2×D32—84no—
222C2×D32—82no—
223C2×D32—82no—
224C32×Q8—21no—
225C32×Q8C2412yes—
226C32×D4—21no—
227C32×D4C2412yes—
228C2×C32×C4—21no—
229C2×C32×C4C2411yescharacteristic
230#638—24no—
231C2×C3⋊Dic3—21no—
232C2×C3⋊Dic3—24no—
233C2×C3⋊Dic3C2×D411yescharacteristic
234C4⋊(C3⋊D3)—24no—
235C4⋊(C3⋊D3)—21no—
236C4⋊(C3⋊D3)C2412yes—
237C4×C3⋊D3—24no—
238C4×C3⋊D3C2×D412yes—
239C4×C3⋊D3C2412yes—
240#634—21no—
241#634C2412yes—
242C3×#67—28no—
243C2×C3×Dic3C2×D412yes—
244C3×D12—28no—
245C3×D12—22no—
246C3×D12—22no—
247C3×D12C2414yes—
248C3×D12C2414yes—
249C3×C4×D3—28no—
250C3×C4×D3C2×D414yes—
251C3×C4×D3C2414yes—
252#627C2×D414yes—
253#626—28no—
254#626C2×D418yes—
255#625—28no—
256#625—24no—
257#625—24no—
258#625C2×D414yes—
259D3×Dic3—28no—
260C32×C8C2412yes—
261C3⋊(C3⋊C8)C2412yes—
262C3×C3⋊C8C2414yes—
263C2×H(5,𝔽2)—91no—
264C2×H(5,𝔽2)—91no—
265#576—916no—
266C2×AGL(1,ℤ/8)—32no—
267C2×AGL(1,ℤ/8)—92no—
268C2×AGL(1,ℤ/8)—91no—
269C2×AGL(1,ℤ/8)—91no—
270C2×#135—92no—
271C2×#135—91no—
272C22×D8—91no—
273C22×D8—92no—
274C2×#131—91no—
275C24×C3—62no—
276C23×D3—22no—
277C23×D3—62no—
278C23×D3—62no—
279C23×D3—62no—
280C23×D3—62no—
281C3×#41—38no—
282C3×#41—64no—
283C2×C3×Q8—21no—
284C2×C3×Q8C22×D312yes—
285C2×C3×D4—21no—
286C2×C3×D4—38no—
287C2×C3×D4—32no—
288C2×C3×D4—32no—
289C2×C3×D4—62no—
290C2×C3×D4—64no—
291C2×C3×D4—62no—
292C2×C3×D4C22×D312yes—
293C22×C3×C4—32no—
294C22×C3×C4—62no—
295C2×#67—22no—
296C2×#67—32no—
297C2×#67—32no—
298C2×#67—62no—
299C2×#67—62no—
300C2×#67—616no—
301C2×#67—616no—
302C2×#67—62no—
303C2×#67—62no—
304C2×#67—62no—
305C2×#67—62no—
306C2×#67—121no—
307C22×Dic3—62no—
308C22×Dic3—62no—
309C22×Dic3—121no—
310#239—24no—
311#239—38no—
312#239—64no—
313#239—64no—
314#239—122no—
315#239C22×D318yescomplemented
316#237—38no—
317#237—38no—
318#237—64no—
319#237—616no—
320#237—64no—
321#237—64no—
322#237—122no—
323D3×D4—24no—
324D3×D4—38no—
325D3×D4—38no—
326D3×D4—38no—
327D3×D4—616no—
328D3×D4—64no—
329D3×D4—64no—
330D3×D4—616no—
331D3×D4—616no—
332D3×D4—64no—
333D3×D4C22×D318yescomplemented
334#235—38no—
335#235—38no—
336#235—38no—
337#235—616no—
338#235—64no—
339C2×D12—22no—
340C2×D12—32no—
341C2×D12—32no—
342C2×D12—38no—
343C2×D12—61no—
344C2×D12—616no—
345C2×D12—64no—
346C2×D12—62no—
347C2×D12—62no—
348C2×D12—121no—
349C2×D12C22×D312yes—
350C2×D12C22×D312yes—
351C2×C4×D3—22no—
352C2×C4×D3—32no—
353C2×C4×D3—61no—
354C2×C4×D3—62no—
355C2×C4×D3—62no—
356C2×C4×D3—121no—
357C2×C4×D3C22×D312yes—
358C2×Dic6—32no—
359C2×Dic6—32no—
360C2×Dic6—61no—
361C3×SD16—24no—
362C3×SD16—38no—
363C3×SD16C22×D318yescomplemented
364C3×D8—38no—
365C3×D8—38no—
366C3×M16—38no—
367C2×C3×C8—21no—
368C2×C3×C8—32no—
369C2×C3×C8C22×D312yes—
370#216—38no—
371#216—64no—
372#215C22×D318yescomplemented
373#214—38no—
374#213—38no—
375#213—38no—
376#213—38no—
377#213—38no—
378#213—64no—
379#213C22×D318yescomplemented
380C2×C3⋊C8—32no—
381C2×C3⋊C8—38no—
382C2×C3⋊C8—61no—
383C2×C3⋊C8C22×D312yes—
384D24—38no—
385D24C22×D318yescomplemented
386#204—38no—
387#204—38no—
388#204—64no—
389ΓL(1,𝔽25)—38no—
390ΓL(1,𝔽25)C22×D318yescomplemented
391D3×C8—38no—
392D3×C8—38no—
393D3×C8—64no—
394C22×C32—22no—
395C22×C32—42no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—22no—
398C2×C3⋊D3—22no—
399C2×C3⋊D3—42no—
400C2×C3⋊D3C22×D412yes—
401C2×C3×D3—24no—
402C2×C3×D3—24no—
403C2×C3×D3—24no—
404C2×C3×D3—44no—
405C2×C3×D3—44no—
406C2×C3×D3—88no—
407C2×C3×D3C22×D414yes—
408D32—88no—
409D32—84no—
410D32—84no—
411C32×C4—22no—
412C32×C4C22×D411yescharacteristic
413C32×C4C2511yescharacteristic
414C3⋊Dic3—22no—
415C3⋊Dic3C22×D412yes—
416C3×Dic3C22×D414yes—
417H(5,𝔽2)—98no—
418H(5,𝔽2)—98no—
419H(5,𝔽2)—184no—
420H(5,𝔽2)—184no—
421C2×#41—32no—
422C2×#41—91no—
423C2×#41—92no—
424C2×#41—91no—
425C2×#41—91no—
426C2×#41—181no—
427C2×#41—181no—
428C22×D4—32no—
429C22×D4—92no—
430C22×D4—91no—
431C22×D4—91no—
432C22×D4—182no—
433C22×D4—181no—
434C22×D4—182no—
435C22×D4—181no—
436AGL(1,ℤ/8)—316no—
437AGL(1,ℤ/8)—916no—
438AGL(1,ℤ/8)—98no—
439AGL(1,ℤ/8)—98no—
440#135—916no—
441#135—98no—
442C2×Q16—91no—
443C2×SD16—32no—
444C2×SD16—92no—
445C2×SD16—91no—
446C2×SD16D3211yescharacteristic, complemented
447C2×D8—32no—
448C2×D8—32no—
449C2×D8—92no—
450C2×D8—98no—
451C2×D8—916no—
452C2×D8—92no—
453C2×D8—91no—
454#131—98no—
455C2×M16—32no—
456C2×M16—91no—
457C22×C8—92no—
458C22×C8—91no—
459C23×C3—22no—
460C23×C3—32no—
461C23×C3—41no—
462C23×C3—68no—
463C23×C3—62no—
464C23×C3—62no—
465C23×C3—244no—
466C22×D3—22no—
467C22×D3—22no—
468C22×D3—28no—
469C22×D3—32no—
470C22×D3—61no—
471C22×D3—68no—
472C22×D3—68no—
473C22×D3—68no—
474C22×D3—62no—
475C22×D3—68no—
476C22×D3—84no—
477C22×D3—121no—
478C22×D3—244no—
479C22×D3—244no—
480C22×D3—244no—
481C22×D3—244no—
482C22×D3D3×D412yes—
483C3×Q8—22no—
484C3×Q8—22no—
485C3×Q8—41no—
486C3×Q8C23×D314yes—
487C3×D4—22no—
488C3×D4—22no—
489C3×D4—34no—
490C3×D4—34no—
491C3×D4—41no—
492C3×D4—68no—
493C3×D4—68no—
494C3×D4—62no—
495C3×D4—62no—
496C3×D4C23×D314yes—
497C2×C3×C4—22no—
498C2×C3×C4—21no—
499C2×C3×C4—32no—
500C2×C3×C4—34no—
501C2×C3×C4—34no—
502C2×C3×C4—41no—
503C2×C3×C4—68no—
504C2×C3×C4C23×D312yes—
505#67—28no—
506#67—38no—
507#67—38no—
508#67—68no—
509#67—68no—
510#67—68no—
511#67—68no—
512#67—68no—
513#67—68no—
514#67—124no—
515C2×Dic3—32no—
516C2×Dic3—61no—
517C2×Dic3—68no—
518C2×Dic3—62no—
519C2×Dic3—68no—
520C2×Dic3—124no—
521C2×Dic3—121no—
522C2×Dic3D3×D412yes—
523D12—28no—
524D12—22no—
525D12—22no—
526D12—38no—
527D12—34no—
528D12—62no—
529D12—68no—
530D12—68no—
531D12—62no—
532D12—121no—
533D12—124no—
534D12C23×D314yes—
535D12C23×D314yes—
536C4×D3—28no—
537C4×D3—34no—
538C4×D3—34no—
539C4×D3—62no—
540C4×D3—62no—
541C4×D3—68no—
542C4×D3—68no—
543C4×D3—124no—
544C4×D3D3×D414yes—
545C4×D3C23×D314yes—
546Dic6—38no—
547Dic6—34no—
548Dic6—62no—
549Dic6—62no—
550Dic6—121no—
551C3×C8—22no—
552C3×C8—34no—
553C3×C8C23×D314yes—
554C3⋊C8—34no—
555C3⋊C8—62no—
556C3⋊C8C23×D314yes—
557C2×C32—42no—
558C2×C32#57612yescomplemented
559C2×C32C23×D411yescharacteristic
560C3⋊D3—22no—
561C3⋊D3—42no—
562C3×D3—24no—
563C3×D3—44no—
564C3×D3—44no—
565C24—62no—
566C24—182no—
567C24—181no—
568C24—181no—
569#41—38no—
570#41—64no—
571#41—94no—
572#41—94no—
573#41—98no—
574#41—94no—
575#41—94no—
576#41—184no—
577#41—188no—
578#41—182no—
579#41—182no—
580#41—188no—
581C2×Q8—91no—
582C2×Q8—91no—
583C2×Q8C2×D3211yescharacteristic
584C2×D4—38no—
585C2×D4—32no—
586C2×D4—32no—
587C2×D4—62no—
588C2×D4—64no—
589C2×D4—62no—
590C2×D4—98no—
591C2×D4—92no—
592C2×D4—94no—
593C2×D4—94no—
594C2×D4—91no—
595C2×D4—91no—
596C2×D4—181no—
597C2×D4—184no—
598C2×D4—182no—
599C2×D4—1816no—
600C2×D4—182no—
601C2×D4—182no—
602C2×D4—181no—
603C2×D4—181no—
604C2×D4—188no—
605C2×D4—1816no—
606C2×D4—188no—
607C2×D4—181no—
608C2×D4—182no—
609C2×D4C2×D3211yescharacteristic
610C22×C4—32no—
611C22×C4—62no—
612C22×C4—91no—
613C22×C4—181no—
614C22×C4—182no—
615C22×C4—181no—
616Q16—94no—
617SD16—38no—
618SD16—98no—
619SD16—94no—
620SD16C2×D3214yescomplemented
621D8—38no—
622D8—38no—
623D8—98no—
624D8—98no—
625D8—94no—
626M16—38no—
627M16—94no—
628C2×C8—32no—
629C2×C8—98no—
630C2×C8—91no—
631C2×C8—94no—
632C2×C8C2×D3211yescharacteristic
633C22×C3—24no—
634C22×C3—21no—
635C22×C3—34no—
636C22×C3—42no—
637C22×C3—44no—
638C22×C3—64no—
639C22×C3—64no—
640C22×C3—64no—
641C22×C3—82no—
642C22×C3—124no—
643C22×C3—124no—
644C22×C3—248no—
645C22×C3C2×D3×D412yes—
646C2×D3—24no—
647C2×D3—24no—
648C2×D3—24no—
649C2×D3—34no—
650C2×D3—44no—
651C2×D3—44no—
652C2×D3—62no—
653C2×D3—64no—
654C2×D3—64no—
655C2×D3—88no—
656C2×D3—122no—
657C2×D3—122no—
658C2×D3—124no—
659C2×D3—242no—
660C2×D3—248no—
661C2×D3—248no—
662C2×D3—248no—
663C2×D3—248no—
664C2×D3C2×D3×D414yes—
665C3×C4—24no—
666C3×C4—21no—
667C3×C4—21no—
668C3×C4—34no—
669C3×C4—42no—
670C3×C4C2×D3×D412yes—
671C3×C4C24×D312yes—
672Dic3—34no—
673Dic3—62no—
674Dic3—64no—
675Dic3—122no—
676Dic3C2×D3×D414yes—
677C32C2×#57611yescharacteristic, complemented, Sylow
678C23—21no—
679C23—32no—
680C23—68no—
681C23—62no—
682C23—62no—
683C23—91no—
684C23—188no—
685C23—184no—
686C23—184no—
687C23—181no—
688C23—244no—
689C23—724no—
690C23—722no—
691C23—722no—
692Q8—21no—
693Q8—94no—
694Q8—92no—
695Q8—181no—
696Q8C22×D3212yes—
697D4—21no—
698D4—34no—
699D4—34no—
700D4—68no—
701D4—68no—
702D4—62no—
703D4—62no—
704D4—98no—
705D4—94no—
706D4—92no—
707D4—184no—
708D4—188no—
709D4—184no—
710D4—184no—
711D4—184no—
712D4—188no—
713D4—181no—
714D4C22×D3212yes—
715C2×C4—21no—
716C2×C4—32no—
717C2×C4—34no—
718C2×C4—34no—
719C2×C4—68no—
720C2×C4—91no—
721C2×C4—92no—
722C2×C4—92no—
723C2×C4—184no—
724C2×C4—188no—
725C2×C4—184no—
726C2×C4—181no—
727C2×C4C22×D3211yescharacteristic
728C8—34no—
729C8—92no—
730C8C22×D3212yes—
731C2×C3—21no—
732C2×C3—22no—
733C2×C3—44no—
734C2×C3—64no—
735C2×C3—82no—
736C2×C3—124no—
737C2×C3—124no—
738C2×C3#577414yescomplemented
739C2×C3C22×D3×D412yes—
740D3—24no—
741D3—44no—
742D3—44no—
743D3—64no—
744D3—122no—
745D3—124no—
746D3—242no—
747C22—22no—
748C22—34no—
749C22—42no—
750C22—64no—
751C22—64no—
752C22—64no—
753C22—92no—
754C22—124no—
755C22—124no—
756C22—182no—
757C22—182no—
758C22—248no—
759C22—362no—
760C22—728no—
761C22—724no—
762C22—724no—
763C22D32×D411yescharacteristic
764C4—22no—
765C4—34no—
766C4—92no—
767C4—182no—
768C4D32×D411yescharacteristic
769C4C23×D3211yescharacteristic
770C3—21no—
771C3C2×#577412yescomplemented
772C2—42no—
773C2—64no—
774C2—124no—
775C2—124no—
776C2—182no—
777C2—362no—
778C2#1059475012yesdirect product factor
779C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
hypercenterC2×SD16D32
hypocenterC32C2×#576
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#64320C2semidirect
2. C2×#64313C2semidirect
3. C2×#64125C2semidirect
4. C2×C3×#914C2semidirect
5. C2×#63947C2semidirect
6. C2×#63941C2semidirect
7. C2×#63927C2semidirect
8. C2×D3×#213C2semidirect
9. #10594750C2direct (N × H)
10. C2×#63805C2semidirect
11. C2×#63797C2semidirect
12. C2×#63795C2semidirect
14. C2×#3832C22semidirect
15. C2×#3830C22semidirect
16. C2×C3×#239C22semidirect
17. C2×C3×D3×D4C22semidirect
22. #64320C22semidirect
24. #64313C22semidirect
26. C2×#3802C22semidirect
27. C2×#3802C22semidirect
29. C2×D3×D12C22semidirect
32. C2×#3795C22semidirect
33. C2×C32×SD16C22semidirect
34. C2×#3756C22semidirect
35. C2×#3753C22semidirect
36. #64125C22semidirect
37. C2×#3744C22semidirect
38. C2×C8×C3⋊D3C22semidirect
39. C2×C3×#215C22semidirect
40. C2×C3×#213C22semidirect
41. C3×#914C22semidirect
42. C2×C3×D24C22semidirect
43. C2×C3×ΓL(1,𝔽25)C22semidirect
44. #63947C22semidirect
45. #63941C22semidirect
46. #63927C22semidirect
47. D3×#213C22semidirect
48. C2×#3716C22semidirect
49. C2×#3714C22semidirect
50. C2×#3713C22semidirect
51. C2×#3712C22semidirect
52. C2×D3×C3⋊C8C22semidirect
53. #63805C22semidirect
54. #63797C22semidirect
55. #63795C22semidirect
66. C2×#914D3semidirect
82. #3832C23semidirect
84. #3830C23semidirect
92. C3×#239C23semidirect
94. C3×D3×D4C23semidirect
114. #3802C23semidirect
115. #3802C23semidirect
118. D3×D12C23semidirect
123. #3795C23semidirect
124. C32×SD16C23semidirect
126. #3756C23semidirect
127. #3753C23semidirect
129. #3744C23semidirect
130. C8×C3⋊D3C23semidirect
131. C3×#215C23semidirect
132. C3×#213C23semidirect
134. C3×D24C23semidirect
135. C3×ΓL(1,𝔽25)C23semidirect
136. #3716C23semidirect
137. #3714C23semidirect
138. #3713C23semidirect
139. #3712C23semidirect
140. D3×C3⋊C8C23semidirect
150. C2×#239C2×D3semidirect
163. C2×D3×D4C2×D3semidirect
172. C2×C3×SD16C2×D3semidirect
179. C2×#215C2×D3semidirect
187. C2×#213C2×D3semidirect
193. #914C2×D3semidirect
201. C2×D24C2×D3semidirect
206. C2×ΓL(1,𝔽25)C2×D3semidirect
315. #239C22×D3semidirect
333. D3×D4C22×D3semidirect
363. C3×SD16C22×D3semidirect
372. #215C22×D3semidirect
379. #213C22×D3semidirect
385. D24C22×D3semidirect
390. ΓL(1,𝔽25)C22×D3semidirect
446. C2×SD16D32semidirect
558. C2×C32#576semidirect
620. SD16C2×D32semidirect
677. C32C2×#576semidirect
738. C2×C3#5774semidirect
771. C3C2×#5774semidirect
778. C2#10594750direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#643202
C2×#643132
C2×#641252
C2×C3×#9142
C2×#639472
C2×#639412
C2×#639272
C2×D3×#2132
#105947502
C2×#638052
C2×#637972
C2×#637952
C2×#57743