Finite Group Databasebeta

← C2×#10594735 #11918809

Subgroups — C2×#10594735 #11918809

Order 1152.

3193 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64314C212yesmaximal, complemented
2C2×D8×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C3×#911C212yesmaximal, complemented
4C2×#63937C212yesmaximal, complemented
5C2×#63935C212yesmaximal, complemented
6C2×D3×#213C212yesmaximal, complemented
7#10594735C2116yesmaximal, direct product factor
8C2×#63809C211yesmaximal, characteristic, complemented
9C2×#63805C211yesmaximal, characteristic, complemented
10C2×#63794C212yesmaximal, complemented
11C2×#5774—32nomaximal
12C2×D4×C3⋊D3C2212yescomplemented
13C2×C3×#237C2212yescomplemented
14C2×C3×D3×D4C2212yescomplemented
15C2×#3811—22no—
16C2×D3×#67—22no—
17C22×#626—22no—
18C2×#3804—22no—
19#64314—28no—
20#64314C22116yescomplemented
21C2×D3×D12C2212yescomplemented
22C2×#3799C2212yescomplemented
23C2×#3798C2211yescharacteristic
24C2×#3796C2212yescomplemented
25C2×C32×D8C2211yescharacteristic, complemented
26C2×#3753C2212yescomplemented
27D8×C3⋊D3C2218yescomplemented
28C2×#3745C2211yescharacteristic, complemented
29C2×C8×C3⋊D3C2211yescharacteristic, complemented
30C2×C3×#214C2212yescomplemented
31C2×C3×#213C2212yescomplemented
32C3×#911C22116yescomplemented
33C2×C3×#204C2212yescomplemented
34C2×C3×ΓL(1,𝔽25)C2212yescomplemented
35#63937C22116yescomplemented
36#63935C22116yescomplemented
37D3×#213C22116yescomplemented
38C2×#3718C2211yescharacteristic, complemented
39C2×#3717C2212yescomplemented
40C2×#3714C2212yescomplemented
41C2×#3713C2211yescharacteristic, complemented
42C2×#3712C2211yescharacteristic, complemented
43C2×D3×C3⋊C8C2212yescomplemented
44#63809C2218yescomplemented
45#63805C2218yescomplemented
46#63794C22116yescomplemented
47C2×#1009—32no—
48C2×#1004—32no—
49C2×C3×AGL(1,ℤ/8)—32no—
50C2×#950—32no—
51C22×#213—32no—
52#5774—332no—
53C2×#916—32no—
54C2×#916—32no—
55C2×#914—32no—
56C2×#914—32no—
57C2×#911—32no—
58C2×#911D312yescomplemented
59C2×D3×D8—32no—
60C2×D3×D8—32no—
61C2×D3×D8—61no—
62C2×#908—32no—
63C2×#907—32no—
64C23×C3⋊D3—22no—
65C23×C3×D3—22no—
66C22×D32—22no—
67C2×C32×D4C2312yes—
68C2×#638—22no—
69D4×C3⋊D3—24no—
70D4×C3⋊D3C2318yescomplemented
71C2×C4⋊(C3⋊D3)C2312yes—
72C2×C4×C3⋊D3C2311yescharacteristic
73C2×C3×#67—22no—
74C2×C3×#67—22no—
75C22×C3×Dic3—22no—
76C3×#237—24no—
77C3×#237C2318yescomplemented
78C3×D3×D4—24no—
79C3×D3×D4C2318yescomplemented
80C2×C3×D12C2312yes—
81C2×C3×C4×D3C2312yes—
82C2×C3×Dic6C2312yes—
83#3811—216no—
84D3×#67—216no—
85C2×#627D411yescharacteristic
86C2×#626—22no—
87C2×#626—22no—
88C2×#626—22no—
89C2×#626—216no—
90C2×#626D412yes—
91C2×#625D411yescharacteristic
92C2×#624—22no—
93#3804—216no—
94C2×D3×Dic3—22no—
95D3×D12—24no—
96D3×D12C2318yescomplemented
97#3799—24no—
98#3799C2318yescomplemented
99#3798D414yes—
100#3798C2314yes—
101#3796—24no—
102#3796C2318yescomplemented
103C32×D8C2314yescomplemented
104C2×C32×C8C2311yescharacteristic
105#3753C2318yescomplemented
106C2×C3⋊(C3⋊C8)C2311yescharacteristic
107#3745C2314yescomplemented
108C8×C3⋊D3C2314yescomplemented
109C3×#214C2318yescomplemented
110C3×#213C2318yescomplemented
111C2×C3×C3⋊C8C2312yes—
112C3×#204C2318yescomplemented
113C3×ΓL(1,𝔽25)C2318yescomplemented
114#3718C2314yescomplemented
115#3717C2318yescomplemented
116#3714C2318yescomplemented
117#3713C2314yescomplemented
118#3712C2314yescomplemented
119D3×C3⋊C8C2318yescomplemented
120C2×#576—91noSylow
121C2×C3×#41—32no—
122C22×C3×D4—32no—
123C22×#67—62no—
124C22×#67—62no—
125#1009—316no—
126#1009—68no—
127C2×#239—32no—
128C2×#239—32no—
129#1004—316no—
130#1004—68no—
131C2×#237—32no—
132C2×#237—62no—
133C2×#237C2×D312yescomplemented
134C2×D3×D4—32no—
135C2×D3×D4—32no—
136C2×D3×D4—32no—
137C2×D3×D4—62no—
138C2×D3×D4—62no—
139C2×D3×D4—62no—
140C2×D3×D4—62no—
141C2×D3×D4C2×D312yescomplemented
142C2×#235—32no—
143C2×#235—32no—
144C2×#235—62no—
145C22×D12—32no—
146C22×D12—62no—
147C3×AGL(1,ℤ/8)—316no—
148C2×C3×SD16—32no—
149C2×C3×SD16—32no—
150C2×C3×D8—21no—
151C2×C3×D8—32no—
152C2×C3×D8C2×D312yescomplemented
153C2×C3×M16—32no—
154#950—316no—
155C2×#216—32no—
156C2×#215—32no—
157C2×#214C2×D312yescomplemented
158C2×#213—32no—
159C2×#213—32no—
160C2×#213—32no—
161C2×#213—316no—
162C2×#213—32no—
163C2×#213—62no—
164C2×#213C2×D312yescomplemented
165C22×C3⋊C8—32no—
166#916—316no—
167#916—316no—
168#914—316no—
169#914—316no—
170#911—316no—
171#911C2×D3116yescomplemented
172D3×D8—316no—
173D3×D8—316no—
174D3×D8—68no—
175#908—316no—
176#907—316no—
177C2×D24—32no—
178C2×D24—32no—
179C2×D24—61no—
180C2×#204—32no—
181C2×#204C2×D312yescomplemented
182C2×ΓL(1,𝔽25)—32no—
183C2×ΓL(1,𝔽25)C2×D312yescomplemented
184C2×D3×C8—32no—
185C2×D3×C8—32no—
186C2×D3×C8—61no—
187C23×C32—22no—
188C22×C3⋊D3—22no—
189C22×C3⋊D3—28no—
190C22×C3⋊D3—84no—
191C22×C3⋊D3C2×D411yescharacteristic
192C22×C3×D3—22no—
193C22×C3×D3—28no—
194C22×C3×D3—84no—
195C22×C3×D3C2×D412yes—
196C2×D32—28no—
197C2×D32—84no—
198C32×D4—22no—
199C32×D4C2414yes—
200C2×C32×C4C2411yescharacteristic
201#638—28no—
202C2×C3⋊Dic3C2×D411yescharacteristic
203C4⋊(C3⋊D3)—22no—
204C4⋊(C3⋊D3)C2414yes—
205C4×C3⋊D3C2×D412yes—
206C4×C3⋊D3C2412yes—
207C3×#67—28no—
208C3×#67—28no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—28no—
211C2×C3×Dic3C2×D412yes—
212C3×D12—22no—
213C3×D12C2414yes—
214C3×C4×D3C2×D414yes—
215C3×C4×D3C2414yes—
216C3×Dic6—22no—
217C3×Dic6C2414yes—
218#627C2×D414yes—
219#626—28no—
220#626—28no—
221#626—28no—
222#626C2×D418yes—
223#625C2×D414yes—
224#624—28no—
225D3×Dic3—28no—
226C32×C8C2412yes—
227C3⋊(C3⋊C8)C2412yes—
228C3×C3⋊C8C2414yes—
229C2×H(5,𝔽2)—92no—
230#576—916no—
231C2×AGL(1,ℤ/8)—32no—
232C2×AGL(1,ℤ/8)—92no—
233C2×AGL(1,ℤ/8)—92no—
234C2×#135—91no—
235C2×#135—92no—
236C22×D8—92no—
237C22×D8—91no—
238C2×#131—91no—
239C24×C3—62no—
240C23×D3—22no—
241C23×D3—62no—
242C23×D3—62no—
243C23×D3—62no—
244C23×D3—62no—
245C23×D3—122no—
246C3×#41—38no—
247C3×#41—64no—
248C2×C3×Q8—32no—
249C2×C3×D4—22no—
250C2×C3×D4—38no—
251C2×C3×D4—32no—
252C2×C3×D4—64no—
253C2×C3×D4—62no—
254C2×C3×D4—62no—
255C2×C3×D4C22×D312yes—
256C2×C3×D4C22×D312yes—
257C22×C3×C4—32no—
258C22×C3×C4—62no—
259C2×#67—22no—
260C2×#67—22no—
261C2×#67—32no—
262C2×#67—32no—
263C2×#67—616no—
264C2×#67—62no—
265C2×#67—62no—
266C2×#67—62no—
267C2×#67—62no—
268C2×#67—616no—
269C2×#67—62no—
270C2×#67—122no—
271C22×Dic3—22no—
272C22×Dic3—62no—
273#239—38no—
274#239—38no—
275#239—64no—
276#239—64no—
277#237—24no—
278#237—38no—
279#237—64no—
280#237—616no—
281#237C22×D318yescomplemented
282D3×D4—24no—
283D3×D4—38no—
284D3×D4—38no—
285D3×D4—38no—
286D3×D4—68no—
287D3×D4—64no—
288D3×D4—64no—
289D3×D4—616no—
290D3×D4—616no—
291D3×D4—616no—
292D3×D4—64no—
293D3×D4—124no—
294D3×D4C22×D318yescomplemented
295#235—38no—
296#235—38no—
297#235—38no—
298#235—64no—
299#235—616no—
300C2×D12—32no—
301C2×D12—32no—
302C2×D12—32no—
303C2×D12—38no—
304C2×D12—62no—
305C2×D12—64no—
306C2×D12—616no—
307C2×D12—62no—
308C2×D12—62no—
309C2×D12—62no—
310C2×D12C22×D312yes—
311C2×C4×D3—32no—
312C2×C4×D3—61no—
313C2×C4×D3—62no—
314C2×C4×D3—62no—
315C2×C4×D3—62no—
316C2×C4×D3C22×D312yes—
317C2×Dic6—32no—
318C2×Dic6C22×D312yes—
319C3×SD16—38no—
320C3×SD16—38no—
321C3×D8—24no—
322C3×D8—38no—
323C3×D8C22×D318yescomplemented
324C3×M16—38no—
325C2×C3×C8—21no—
326C2×C3×C8—32no—
327C2×C3×C8C22×D312yes—
328#216—38no—
329#215—38no—
330#214C22×D318yescomplemented
331#213—38no—
332#213—38no—
333#213—38no—
334#213—38no—
335#213—68no—
336#213C22×D318yescomplemented
337C2×C3⋊C8—32no—
338C2×C3⋊C8—38no—
339C2×C3⋊C8—61no—
340C2×C3⋊C8C22×D312yes—
341D24—38no—
342D24—38no—
343D24—64no—
344#204—38no—
345#204C22×D318yescomplemented
346ΓL(1,𝔽25)—38no—
347ΓL(1,𝔽25)C22×D318yescomplemented
348D3×C8—38no—
349D3×C8—38no—
350D3×C8—64no—
351C22×C32—24no—
352C22×C32—44no—
353C22×C32C22×D411yescharacteristic
354C2×C3⋊D3—22no—
355C2×C3⋊D3—24no—
356C2×C3⋊D3—44no—
357C2×C3⋊D3—88no—
358C2×C3⋊D3C22×D412yes—
359C2×C3×D3—24no—
360C2×C3×D3—24no—
361C2×C3×D3—44no—
362C2×C3×D3—88no—
363C2×C3×D3C22×D414yes—
364D32—88no—
365C32×C4C22×D411yescharacteristic
366C32×C4C2511yescharacteristic
367C3⋊Dic3C22×D412yes—
368C3×Dic3—24no—
369C3×Dic3C22×D414yes—
370H(5,𝔽2)—916no—
371H(5,𝔽2)—188no—
372C2×#41—32no—
373C2×#41—91no—
374C2×#41—92no—
375C2×#41—92no—
376C2×#41—182no—
377C22×D4—32no—
378C22×D4—92no—
379C22×D4—92no—
380C22×D4—182no—
381C22×D4—182no—
382C22×D4—182no—
383AGL(1,ℤ/8)—316no—
384AGL(1,ℤ/8)—916no—
385AGL(1,ℤ/8)—916no—
386#135—98no—
387#135—916no—
388C2×Q16—91no—
389C2×SD16—32no—
390C2×SD16—32no—
391C2×SD16—92no—
392C2×D8—32no—
393C2×D8—92no—
394C2×D8—916no—
395C2×D8—91no—
396C2×D8—92no—
397C2×D8—98no—
398C2×D8—91no—
399C2×D8D3211yescharacteristic, complemented
400#131—98no—
401C2×M16—32no—
402C2×M16—91no—
403C22×C8—92no—
404C22×C8—91no—
405C23×C3—22no—
406C23×C3—22no—
407C23×C3—32no—
408C23×C3—42no—
409C23×C3—68no—
410C23×C3—62no—
411C23×C3—244no—
412C22×D3—22no—
413C22×D3—28no—
414C22×D3—32no—
415C22×D3—61no—
416C22×D3—68no—
417C22×D3—68no—
418C22×D3—68no—
419C22×D3—62no—
420C22×D3—62no—
421C22×D3—68no—
422C22×D3—84no—
423C22×D3—128no—
424C22×D3—122no—
425C22×D3—244no—
426C22×D3—244no—
427C22×D3—244no—
428C22×D3—244no—
429C22×D3—248no—
430C22×D3D3×D412yes—
431C3×Q8—34no—
432C3×Q8—62no—
433C3×D4—22no—
434C3×D4—22no—
435C3×D4—24no—
436C3×D4—34no—
437C3×D4—42no—
438C3×D4—68no—
439C3×D4—68no—
440C3×D4—62no—
441C3×D4C23×D314yes—
442C3×D4C23×D314yes—
443C2×C3×C4—21no—
444C2×C3×C4—32no—
445C2×C3×C4—34no—
446C2×C3×C4—34no—
447C2×C3×C4—68no—
448C2×C3×C4—62no—
449C2×C3×C4C23×D312yes—
450#67—28no—
451#67—28no—
452#67—38no—
453#67—38no—
454#67—68no—
455#67—68no—
456#67—68no—
457#67—68no—
458#67—68no—
459#67—128no—
460C2×Dic3—22no—
461C2×Dic3—28no—
462C2×Dic3—32no—
463C2×Dic3—61no—
464C2×Dic3—68no—
465C2×Dic3D3×D412yes—
466D12—22no—
467D12—38no—
468D12—34no—
469D12—34no—
470D12—64no—
471D12—68no—
472D12—68no—
473D12—68no—
474D12—62no—
475D12—62no—
476D12—122no—
477D12C23×D314yes—
478C4×D3—34no—
479C4×D3—34no—
480C4×D3—62no—
481C4×D3—62no—
482C4×D3—68no—
483C4×D3—68no—
484C4×D3—68no—
485C4×D3D3×D414yes—
486C4×D3C23×D314yes—
487Dic6—22no—
488Dic6—38no—
489Dic6C23×D314yes—
490C3×C8—22no—
491C3×C8—34no—
492C3×C8C23×D314yes—
493C3⋊C8—34no—
494C3⋊C8—62no—
495C3⋊C8C23×D314yes—
496C2×C32—44no—
497C2×C32#57612yescomplemented
498C2×C32C23×D411yescharacteristic
499C3⋊D3—22no—
500C3⋊D3—44no—
501C3×D3—24no—
502C3×D3—44no—
503C24—62no—
504C24—182no—
505C24—182no—
506#41—38no—
507#41—64no—
508#41—94no—
509#41—94no—
510#41—98no—
511#41—98no—
512#41—184no—
513#41—1816no—
514#41—184no—
515C2×Q8—32no—
516C2×Q8—91no—
517C2×D4—38no—
518C2×D4—32no—
519C2×D4—64no—
520C2×D4—62no—
521C2×D4—62no—
522C2×D4—98no—
523C2×D4—92no—
524C2×D4—91no—
525C2×D4—98no—
526C2×D4—92no—
527C2×D4—184no—
528C2×D4—182no—
529C2×D4—1816no—
530C2×D4—182no—
531C2×D4—182no—
532C2×D4—184no—
533C2×D4—182no—
534C2×D4—1816no—
535C2×D4—1816no—
536C2×D4C2×D3212yes—
537C22×C4—32no—
538C22×C4—62no—
539C22×C4—91no—
540C22×C4—182no—
541C22×C4—182no—
542Q16—94no—
543SD16—38no—
544SD16—38no—
545SD16—98no—
546D8—38no—
547D8—98no—
548D8—94no—
549D8—98no—
550D8—94no—
551D8C2×D3214yescomplemented
552M16—38no—
553M16—94no—
554C2×C8—32no—
555C2×C8—98no—
556C2×C8—91no—
557C2×C8—94no—
558C2×C8C2×D3211yescharacteristic
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—21no—
562C22×C3—34no—
563C22×C3—44no—
564C22×C3—44no—
565C22×C3—44no—
566C22×C3—64no—
567C22×C3—64no—
568C22×C3—84no—
569C22×C3—124no—
570C22×C3—248no—
571C22×C3C2×D3×D412yes—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—34no—
575C2×D3—44no—
576C2×D3—62no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—88no—
582C2×D3—124no—
583C2×D3—124no—
584C2×D3—124no—
585C2×D3—244no—
586C2×D3—248no—
587C2×D3—248no—
588C2×D3—248no—
589C2×D3—248no—
590C2×D3—2416no—
591C2×D3C2×D3×D414yes—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—34no—
595C3×C4—64no—
596C3×C4C2×D3×D412yes—
597C3×C4C24×D312yes—
598Dic3—24no—
599Dic3—34no—
600Dic3—62no—
601Dic3C2×D3×D414yes—
602C32C2×#57611yescharacteristic, complemented, Sylow
603C23—22no—
604C23—32no—
605C23—68no—
606C23—62no—
607C23—91no—
608C23—188no—
609C23—188no—
610C23—182no—
611C23—244no—
612C23—724no—
613C23—724no—
614Q8—34no—
615Q8—62no—
616Q8—94no—
617D4—22no—
618D4—34no—
619D4—68no—
620D4—68no—
621D4—62no—
622D4—98no—
623D4—94no—
624D4—94no—
625D4—188no—
626D4—188no—
627D4—188no—
628D4—188no—
629D4—182no—
630D4C22×D3214yes—
631C2×C4—32no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—68no—
635C2×C4—62no—
636C2×C4—91no—
637C2×C4—92no—
638C2×C4—92no—
639C2×C4—188no—
640C2×C4—188no—
641C2×C4C22×D3211yescharacteristic
642C8—34no—
643C8—92no—
644C8C22×D3212yes—
645C2×C3—21no—
646C2×C3—22no—
647C2×C3—44no—
648C2×C3—44no—
649C2×C3—64no—
650C2×C3—84no—
651C2×C3—124no—
652C2×C3#577414yescomplemented
653C2×C3C22×D3×D412yes—
654D3—24no—
655D3—44no—
656D3—64no—
657D3—64no—
658D3—124no—
659D3—124no—
660D3—244no—
661C22—24no—
662C22—34no—
663C22—44no—
664C22—64no—
665C22—64no—
666C22—92no—
667C22—124no—
668C22—182no—
669C22—184no—
670C22—248no—
671C22—364no—
672C22—728no—
673C22—728no—
674C22D32×D411yescharacteristic
675C4—34no—
676C4—64no—
677C4—92no—
678C4D32×D411yescharacteristic
679C4C23×D3211yescharacteristic
680C3—21no—
681C3C2×#577412yescomplemented
682C2—44no—
683C2—64no—
684C2—124no—
685C2—182no—
686C2—364no—
687C2#1059473512yesdirect product factor
688C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×D8C22
socleC22×C32C22×D4
hypercenterC2×D8D32
hypocenterC32C2×#576
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D8

Complements

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

NH ≅ G/Ntype
1. C2×#64314C2semidirect
2. C2×D8×C3⋊D3C2semidirect
3. C2×C3×#911C2semidirect
4. C2×#63937C2semidirect
5. C2×#63935C2semidirect
6. C2×D3×#213C2semidirect
7. #10594735C2direct (N × H)
8. C2×#63809C2semidirect
9. C2×#63805C2semidirect
10. C2×#63794C2semidirect
12. C2×D4×C3⋊D3C22semidirect
13. C2×C3×#237C22semidirect
14. C2×C3×D3×D4C22semidirect
20. #64314C22semidirect
21. C2×D3×D12C22semidirect
22. C2×#3799C22semidirect
24. C2×#3796C22semidirect
25. C2×C32×D8C22semidirect
26. C2×#3753C22semidirect
27. D8×C3⋊D3C22semidirect
28. C2×#3745C22semidirect
29. C2×C8×C3⋊D3C22semidirect
30. C2×C3×#214C22semidirect
31. C2×C3×#213C22semidirect
32. C3×#911C22semidirect
33. C2×C3×#204C22semidirect
34. C2×C3×ΓL(1,𝔽25)C22semidirect
35. #63937C22semidirect
36. #63935C22semidirect
37. D3×#213C22semidirect
38. C2×#3718C22semidirect
39. C2×#3717C22semidirect
40. C2×#3714C22semidirect
41. C2×#3713C22semidirect
42. C2×#3712C22semidirect
43. C2×D3×C3⋊C8C22semidirect
44. #63809C22semidirect
45. #63805C22semidirect
46. #63794C22semidirect
58. C2×#911D3semidirect
70. D4×C3⋊D3C23semidirect
77. C3×#237C23semidirect
79. C3×D3×D4C23semidirect
96. D3×D12C23semidirect
98. #3799C23semidirect
102. #3796C23semidirect
103. C32×D8C23semidirect
105. #3753C23semidirect
107. #3745C23semidirect
108. C8×C3⋊D3C23semidirect
109. C3×#214C23semidirect
110. C3×#213C23semidirect
112. C3×#204C23semidirect
113. C3×ΓL(1,𝔽25)C23semidirect
114. #3718C23semidirect
115. #3717C23semidirect
116. #3714C23semidirect
117. #3713C23semidirect
118. #3712C23semidirect
119. D3×C3⋊C8C23semidirect
133. C2×#237C2×D3semidirect
141. C2×D3×D4C2×D3semidirect
152. C2×C3×D8C2×D3semidirect
157. C2×#214C2×D3semidirect
164. C2×#213C2×D3semidirect
171. #911C2×D3semidirect
181. C2×#204C2×D3semidirect
183. C2×ΓL(1,𝔽25)C2×D3semidirect
281. #237C22×D3semidirect
294. D3×D4C22×D3semidirect
323. C3×D8C22×D3semidirect
330. #214C22×D3semidirect
336. #213C22×D3semidirect
345. #204C22×D3semidirect
347. ΓL(1,𝔽25)C22×D3semidirect
399. C2×D8D32semidirect
497. C2×C32#576semidirect
551. D8C2×D32semidirect
602. C32C2×#576semidirect
652. C2×C3#5774semidirect
681. C3C2×#5774semidirect
687. C2#10594735direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#643142
C2×D8×C3⋊D32
C2×C3×#9112
C2×#639372
C2×#639352
C2×D3×#2132
#105947352
C2×#638092
C2×#638052
C2×#637942
C2×#57743