Finite Group Databasebeta

← C2×#10594767 #11918897

Subgroups — C2×#10594767 #11918897

Order 1152.

3053 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64320C211yesmaximal, characteristic, complemented
2C2×#64316C211yesmaximal, characteristic, complemented
3C2×#64128C211yesmaximal, characteristic, complemented
4C2×C3×#918C212yesmaximal, complemented
5C2×#63949C212yesmaximal, complemented
6C2×#63945C211yesmaximal, characteristic, complemented
7C2×#63941C211yesmaximal, characteristic, complemented
8C2×D3×#215C212yesmaximal, complemented
9#10594767C2116yesmaximal, direct product factor
10C2×#63805C211yesmaximal, characteristic, complemented
11C2×#63796C211yesmaximal, characteristic, complemented
12C2×#63794C212yesmaximal, complemented
13C2×#5778—32nomaximal
14C2×#3832C2211yescharacteristic
15C2×#3832C2211yescharacteristic, complemented
16C2×C3×#239C2212yes—
17C2×C3×D3×Q8C2212yescomplemented
18#64320—24no—
19#64320C2218yescomplemented
20#64316—24no—
21#64316C2218yescomplemented
22C2×#3802—21no—
23C2×#3802C2211yescharacteristic
24C2×D3×D12—22no—
25C2×D3×D12C2212yes—
26C2×#3799—22no—
27C2×#3799C2212yescomplemented
28C2×#3798—21no—
29C2×#3798—21no—
30C2×#3798C2211yescharacteristic
31C2×#3797—21no—
32C2×#3797C2211yescharacteristic, complemented
33C2×C32×Q16C2211yescharacteristic, complemented
34C2×#3755C2211yescharacteristic, complemented
35C2×#3755C2211yescharacteristic, complemented
36#64128C2218yescomplemented
37C2×#3745C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic, complemented
39C2×C3×#216C2212yescomplemented
40C2×C3×#215C2212yescomplemented
41C3×#918C22116yescomplemented
42C2×C3×#204C2212yescomplemented
43C2×C3×ΓL(1,𝔽25)C2212yescomplemented
44#63949C22116yescomplemented
45#63945C2218yescomplemented
46#63941C2218yescomplemented
47D3×#215C22116yescomplemented
48C2×#3717C2212yescomplemented
49C2×#3715C2212yescomplemented
50C2×#3714C2212yescomplemented
51C2×#3712C2211yescharacteristic, complemented
52C2×D3×C3⋊C8C2212yescomplemented
53#63805C2218yescomplemented
54#63796C2218yescomplemented
55#63794C22116yescomplemented
56C2×#1009—32no—
57C2×#1007—32no—
58C2×C3×#137—32no—
59C2×#950—32no—
60C22×#215—32no—
61#5778—332no—
62C2×#919—32no—
63C2×#919—32no—
64C2×#919—61no—
65C2×#918—32no—
66C2×#918D312yescomplemented
67C2×#914—32no—
68C2×#914—32no—
69C2×D3×SD16—32no—
70C2×D3×SD16—32no—
71C2×#908—32no—
72C2×#907—32no—
73C22×D32—21no—
74C22×D32—22no—
75C2×C32×Q8C2311yescharacteristic
76C2×C32×Q8C2311yescharacteristic
77#3832—22no—
78#3832—22no—
79#3832C2314yes—
80#3832C2314yescomplemented
81C2×C4⋊(C3⋊D3)—21no—
82C2×C4⋊(C3⋊D3)—21no—
83C2×C4⋊(C3⋊D3)C2311yescharacteristic
84C2×C4⋊(C3⋊D3)C2311yescharacteristic
85C2×C4×C3⋊D3—21no—
86C2×C4×C3⋊D3—21no—
87C2×C4×C3⋊D3C2311yescharacteristic
88C3×#239—24no—
89C3×#239C2318yes—
90C3×D3×Q8—24no—
91C3×D3×Q8C2318yescomplemented
92C2×C3×D12—22no—
93C2×C3×D12C2312yes—
94C2×C3×C4×D3—22no—
95C2×C3×C4×D3—22no—
96C2×C3×C4×D3C2312yes—
97C2×C3×Dic6—22no—
98C2×C3×Dic6C2312yes—
99C2×#627—21no—
100C2×#627D411yescharacteristic
101C2×#626—22no—
102C2×#626—22no—
103C2×#626D412yes—
104C2×#625—21no—
105C2×#625D411yescharacteristic
106C2×#624—21no—
107C2×#624—22no—
108#3802—22no—
109#3802—28no—
110#3802C2314yes—
111D3×D12—24no—
112D3×D12—216no—
113D3×D12C2318yes—
114#3799—24no—
115#3799—216no—
116#3799C2318yescomplemented
117#3798—28no—
118#3798—28no—
119#3798D414yes—
120#3798C2314yes—
121#3797—22no—
122#3797—28no—
123#3797C2314yescomplemented
124C32×Q16C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3755C2314yescomplemented
127#3755C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3745C2314yescomplemented
130C8×C3⋊D3C2314yescomplemented
131C3×#216C2318yescomplemented
132C3×#215C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×#204C2318yescomplemented
135C3×ΓL(1,𝔽25)C2318yescomplemented
136#3717C2318yescomplemented
137#3715C2318yescomplemented
138#3714C2318yescomplemented
139#3712C2314yescomplemented
140D3×C3⋊C8C2318yescomplemented
141C2×#577—91noSylow
142C2×C3×#41—32no—
143C22×C3×Q8—32no—
144#1009—316no—
145#1009—68no—
146#1007—316no—
147#1007—68no—
148C2×#239—32no—
149C2×#239—32no—
150C2×#239—32no—
151C2×#239—61no—
152C2×#239—61no—
153C2×#239—62no—
154C2×#239C2×D312yes—
155C2×D3×Q8—32no—
156C2×D3×Q8—62no—
157C2×D3×Q8C2×D312yescomplemented
158C2×D3×D4—32no—
159C2×D3×D4—32no—
160C2×D3×D4—62no—
161C2×D3×D4—62no—
162C2×#235—32no—
163C2×#235—32no—
164C2×#235—62no—
165C2×#235—62no—
166C2×#235—62no—
167C22×D12—32no—
168C22×D12—62no—
169C3×#137—316no—
170C2×C3×Q16—21no—
171C2×C3×Q16—32no—
172C2×C3×Q16C2×D312yescomplemented
173C2×C3×SD16—32no—
174C2×C3×SD16—32no—
175C2×C3×M16—32no—
176#950—316no—
177C2×#216C2×D312yescomplemented
178C2×#215—32no—
179C2×#215—32no—
180C2×#215—32no—
181C2×#215—316no—
182C2×#215—32no—
183C2×#215—61no—
184C2×#215—61no—
185C2×#215C2×D312yescomplemented
186C2×#214—32no—
187C2×#213—32no—
188C22×C3⋊C8—32no—
189#919—316no—
190#919—316no—
191#919—68no—
192#918—316no—
193#918C2×D3116yescomplemented
194#914—316no—
195#914—316no—
196D3×SD16—316no—
197D3×SD16—316no—
198#908—316no—
199#907—316no—
200C2×D24—32no—
201C2×D24—32no—
202C2×D24—61no—
203C2×#204—32no—
204C2×#204C2×D312yescomplemented
205C2×ΓL(1,𝔽25)—32no—
206C2×ΓL(1,𝔽25)C2×D312yescomplemented
207C2×D3×C8—32no—
208C2×D3×C8—32no—
209C2×D3×C8—61no—
210C22×C3⋊D3—21no—
211C22×C3⋊D3—21no—
212C22×C3⋊D3C2×D411yescharacteristic
213C22×C3×D3—22no—
214C22×C3×D3C2×D412yes—
215C2×D32—24no—
216C2×D32—28no—
217C2×D32—84no—
218C2×D32—82no—
219C32×Q8—21no—
220C32×Q8—21no—
221C32×Q8C2412yes—
222C32×Q8C2412yes—
223C2×C32×C4—21no—
224C2×C32×C4—21no—
225C2×C32×C4C2411yescharacteristic
226C2×C3⋊Dic3C2×D411yescharacteristic
227C4⋊(C3⋊D3)—24no—
228C4⋊(C3⋊D3)—24no—
229C4⋊(C3⋊D3)—21no—
230C4⋊(C3⋊D3)—21no—
231C4⋊(C3⋊D3)C2412yes—
232C4⋊(C3⋊D3)C2412yes—
233C4×C3⋊D3—24no—
234C4×C3⋊D3—24no—
235C4×C3⋊D3C2×D412yes—
236C4×C3⋊D3C2412yes—
237C2×C3×Dic3—22no—
238C2×C3×Dic3C2×D412yes—
239C3×D12—28no—
240C3×D12—22no—
241C3×D12C2414yes—
242C3×C4×D3—28no—
243C3×C4×D3—28no—
244C3×C4×D3C2×D414yes—
245C3×C4×D3C2414yes—
246C3×Dic6—22no—
247C3×Dic6—28no—
248C3×Dic6C2414yes—
249#627—24no—
250#627C2×D414yes—
251#626—28no—
252#626—28no—
253#626C2×D418yes—
254#625—24no—
255#625C2×D414yes—
256#624—24no—
257#624—28no—
258C32×C8C2412yes—
259C3⋊(C3⋊C8)C2412yes—
260C3×C3⋊C8C2414yes—
261C2×2−1+4—91no—
262C2×H(5,𝔽2)—91no—
263#577—916no—
264C2×#137—32no—
265C2×#137—91no—
266C2×AGL(1,ℤ/8)—92no—
267C2×AGL(1,ℤ/8)—91no—
268C2×#135—92no—
269C2×#135—91no—
270C22×SD16—91no—
271C22×SD16—92no—
272C2×#131—91no—
273C23×D3—62no—
274C23×D3—62no—
275C23×D3—62no—
276C3×#41—38no—
277C3×#41—64no—
278C2×C3×Q8—21no—
279C2×C3×Q8—21no—
280C2×C3×Q8—38no—
281C2×C3×Q8—32no—
282C2×C3×Q8—62no—
283C2×C3×Q8—64no—
284C2×C3×Q8C22×D312yes—
285C2×C3×Q8C22×D312yes—
286C2×C3×D4—32no—
287C2×C3×D4—62no—
288C22×C3×C4—32no—
289C22×C3×C4—62no—
290C22×C3×C4—62no—
291C2×#67—32no—
292C2×#67—32no—
293C2×#67—62no—
294C2×#67—62no—
295C2×#67—62no—
296#239—24no—
297#239—38no—
298#239—38no—
299#239—38no—
300#239—64no—
301#239—64no—
302#239—616no—
303#239—64no—
304#239—64no—
305#239—64no—
306#239—122no—
307#239—122no—
308#239C22×D318yes—
309D3×Q8—24no—
310D3×Q8—38no—
311D3×Q8—616no—
312D3×Q8—64no—
313D3×Q8C22×D318yescomplemented
314D3×D4—38no—
315D3×D4—38no—
316D3×D4—616no—
317D3×D4—64no—
318D3×D4—616no—
319D3×D4—64no—
320#235—38no—
321#235—38no—
322#235—38no—
323#235—616no—
324#235—64no—
325#235—616no—
326#235—616no—
327C2×D12—22no—
328C2×D12—32no—
329C2×D12—32no—
330C2×D12—32no—
331C2×D12—38no—
332C2×D12—61no—
333C2×D12—61no—
334C2×D12—616no—
335C2×D12—64no—
336C2×D12—62no—
337C2×D12—62no—
338C2×D12—62no—
339C2×D12—62no—
340C2×D12—121no—
341C2×D12—121no—
342C2×D12C22×D312yes—
343C2×C4×D3—22no—
344C2×C4×D3—22no—
345C2×C4×D3—32no—
346C2×C4×D3—61no—
347C2×C4×D3—62no—
348C2×C4×D3—62no—
349C2×C4×D3—62no—
350C2×C4×D3—62no—
351C2×C4×D3—62no—
352C2×C4×D3—121no—
353C2×C4×D3—121no—
354C2×C4×D3C22×D312yes—
355C2×Dic6—22no—
356C2×Dic6—32no—
357C2×Dic6—62no—
358C2×Dic6C22×D312yes—
359C3×Q16—24no—
360C3×Q16—38no—
361C3×Q16C22×D318yescomplemented
362C3×SD16—38no—
363C3×SD16—38no—
364C3×M16—38no—
365C2×C3×C8—21no—
366C2×C3×C8—32no—
367C2×C3×C8C22×D312yes—
368#216C22×D318yescomplemented
369#215—38no—
370#215—38no—
371#215—38no—
372#215—38no—
373#215—64no—
374#215—64no—
375#215C22×D318yescomplemented
376#214—38no—
377#213—38no—
378C2×C3⋊C8—32no—
379C2×C3⋊C8—38no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8C22×D312yes—
382D24—38no—
383D24—38no—
384D24—64no—
385#204—38no—
386#204C22×D318yescomplemented
387ΓL(1,𝔽25)—38no—
388ΓL(1,𝔽25)C22×D318yescomplemented
389D3×C8—38no—
390D3×C8—38no—
391D3×C8—64no—
392C22×C32C22×D411yescharacteristic
393C2×C3⋊D3—22no—
394C2×C3⋊D3—22no—
395C2×C3⋊D3—22no—
396C2×C3⋊D3—42no—
397C2×C3⋊D3—42no—
398C2×C3⋊D3C22×D412yes—
399C2×C3×D3—24no—
400C2×C3×D3—24no—
401C2×C3×D3—44no—
402C2×C3×D3C22×D414yes—
403D32—88no—
404D32—84no—
405C32×C4—22no—
406C32×C4—22no—
407C32×C4C22×D411yescharacteristic
408C32×C4C2511yescharacteristic
409C3⋊Dic3C22×D412yes—
410C3×Dic3—24no—
411C3×Dic3C22×D414yes—
4122−1+4—98no—
4132−1+4—184no—
414H(5,𝔽2)—98no—
415H(5,𝔽2)—184no—
416C2×#41—32no—
417C2×#41—91no—
418C2×#41—92no—
419C2×#41—91no—
420C2×#41—91no—
421C2×#41—181no—
422C2×#41—181no—
423C2×#41—182no—
424C22×Q8—32no—
425C22×Q8—91no—
426C22×Q8—181no—
427C22×D4—92no—
428C22×D4—91no—
429C22×D4—182no—
430C22×D4—181no—
431#137—316no—
432#137—98no—
433AGL(1,ℤ/8)—916no—
434AGL(1,ℤ/8)—98no—
435#135—916no—
436#135—98no—
437C2×Q16—32no—
438C2×Q16D3211yescharacteristic, complemented
439C2×SD16—32no—
440C2×SD16—32no—
441C2×SD16—92no—
442C2×SD16—98no—
443C2×SD16—916no—
444C2×SD16—92no—
445C2×SD16—91no—
446C2×SD16—91no—
447C2×D8—92no—
448C2×D8—91no—
449#131—98no—
450C2×M16—32no—
451C2×M16—91no—
452C22×C8—92no—
453C22×C8—91no—
454C23×C3—32no—
455C23×C3—62no—
456C22×D3—22no—
457C22×D3—32no—
458C22×D3—61no—
459C22×D3—68no—
460C22×D3—68no—
461C22×D3—62no—
462C22×D3—62no—
463C22×D3—68no—
464C22×D3—121no—
465C22×D3—121no—
466C22×D3—244no—
467C22×D3—244no—
468C22×D3—244no—
469C22×D3D3×D412yes—
470C3×Q8—22no—
471C3×Q8—22no—
472C3×Q8—22no—
473C3×Q8—22no—
474C3×Q8—34no—
475C3×Q8—41no—
476C3×Q8—41no—
477C3×Q8—68no—
478C3×Q8—62no—
479C3×Q8C23×D314yes—
480C3×Q8C23×D314yes—
481C3×D4—34no—
482C3×D4—68no—
483C3×D4—62no—
484C2×C3×C4—22no—
485C2×C3×C4—22no—
486C2×C3×C4—21no—
487C2×C3×C4—32no—
488C2×C3×C4—34no—
489C2×C3×C4—34no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—68no—
493C2×C3×C4—68no—
494C2×C3×C4—62no—
495C2×C3×C4C23×D312yes—
496#67—38no—
497#67—38no—
498#67—68no—
499#67—68no—
500#67—68no—
501C2×Dic3—22no—
502C2×Dic3—32no—
503C2×Dic3—61no—
504C2×Dic3D3×D412yes—
505D12—28no—
506D12—22no—
507D12—38no—
508D12—34no—
509D12—34no—
510D12—62no—
511D12—62no—
512D12—68no—
513D12—68no—
514D12—68no—
515D12—68no—
516D12—62no—
517D12—62no—
518D12—121no—
519D12—121no—
520D12—124no—
521D12—124no—
522D12C23×D314yes—
523C4×D3—28no—
524C4×D3—28no—
525C4×D3—34no—
526C4×D3—34no—
527C4×D3—62no—
528C4×D3—62no—
529C4×D3—68no—
530C4×D3—68no—
531C4×D3—68no—
532C4×D3—68no—
533C4×D3—68no—
534C4×D3—124no—
535C4×D3—124no—
536C4×D3D3×D414yes—
537C4×D3C23×D314yes—
538Dic6—22no—
539Dic6—28no—
540Dic6—38no—
541Dic6—68no—
542Dic6C23×D314yes—
543C3×C8—22no—
544C3×C8—34no—
545C3×C8C23×D314yes—
546C3⋊C8—34no—
547C3⋊C8—62no—
548C3⋊C8C23×D314yes—
549C2×C32#57712yescomplemented
550C2×C32C23×D411yescharacteristic
551C3⋊D3—22no—
552C3⋊D3—42no—
553C3⋊D3—42no—
554C3×D3—24no—
555C3×D3—44no—
556C24—182no—
557C24—181no—
558#41—38no—
559#41—64no—
560#41—94no—
561#41—94no—
562#41—98no—
563#41—94no—
564#41—94no—
565#41—184no—
566#41—188no—
567#41—188no—
568#41—1816no—
569#41—182no—
570#41—182no—
571C2×Q8—38no—
572C2×Q8—32no—
573C2×Q8—62no—
574C2×Q8—64no—
575C2×Q8—91no—
576C2×Q8—94no—
577C2×Q8—181no—
578C2×Q8—182no—
579C2×Q8—188no—
580C2×Q8C2×D3211yescharacteristic
581C2×Q8C2×D3211yescharacteristic
582C2×D4—32no—
583C2×D4—62no—
584C2×D4—98no—
585C2×D4—92no—
586C2×D4—94no—
587C2×D4—91no—
588C2×D4—91no—
589C2×D4—91no—
590C2×D4—181no—
591C2×D4—181no—
592C2×D4—184no—
593C2×D4—182no—
594C2×D4—1816no—
595C2×D4—182no—
596C2×D4—182no—
597C2×D4—181no—
598C2×D4—188no—
599C22×C4—32no—
600C22×C4—62no—
601C22×C4—62no—
602C22×C4—91no—
603C22×C4—181no—
604C22×C4—181no—
605C22×C4—182no—
606C22×C4—181no—
607Q16—38no—
608Q16C2×D3214yescomplemented
609SD16—38no—
610SD16—38no—
611SD16—98no—
612SD16—98no—
613SD16—94no—
614SD16—94no—
615D8—98no—
616D8—94no—
617M16—38no—
618M16—94no—
619C2×C8—32no—
620C2×C8—98no—
621C2×C8—91no—
622C2×C8—94no—
623C2×C8C2×D3211yescharacteristic
624C22×C3—21no—
625C22×C3—34no—
626C22×C3—64no—
627C22×C3—64no—
628C22×C3—124no—
629C22×C3C2×D3×D412yes—
630C2×D3—24no—
631C2×D3—24no—
632C2×D3—34no—
633C2×D3—44no—
634C2×D3—62no—
635C2×D3—64no—
636C2×D3—64no—
637C2×D3—64no—
638C2×D3—122no—
639C2×D3—122no—
640C2×D3—122no—
641C2×D3—124no—
642C2×D3—124no—
643C2×D3—242no—
644C2×D3—242no—
645C2×D3—248no—
646C2×D3—248no—
647C2×D3—248no—
648C2×D3C2×D3×D414yes—
649C3×C4—24no—
650C3×C4—24no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—34no—
654C3×C4—42no—
655C3×C4—42no—
656C3×C4—64no—
657C3×C4C2×D3×D412yes—
658C3×C4C24×D312yes—
659Dic3—24no—
660Dic3—34no—
661Dic3—62no—
662Dic3C2×D3×D414yes—
663C32C2×#57711yescharacteristic, complemented, Sylow
664C23—32no—
665C23—62no—
666C23—91no—
667C23—188no—
668C23—184no—
669C23—181no—
670C23—181no—
671C23—724no—
672C23—722no—
673Q8—21no—
674Q8—21no—
675Q8—34no—
676Q8—68no—
677Q8—62no—
678Q8—94no—
679Q8—184no—
680Q8C22×D3212yes—
681Q8C22×D3212yes—
682D4—34no—
683D4—68no—
684D4—62no—
685D4—98no—
686D4—94no—
687D4—92no—
688D4—92no—
689D4—184no—
690D4—184no—
691D4—188no—
692D4—188no—
693D4—184no—
694D4—181no—
695D4—181no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—32no—
699C2×C4—34no—
700C2×C4—34no—
701C2×C4—68no—
702C2×C4—68no—
703C2×C4—62no—
704C2×C4—91no—
705C2×C4—92no—
706C2×C4—92no—
707C2×C4—184no—
708C2×C4—184no—
709C2×C4—188no—
710C2×C4—184no—
711C2×C4C22×D3211yescharacteristic
712C8—34no—
713C8—92no—
714C8C22×D3212yes—
715C2×C3—21no—
716C2×C3—22no—
717C2×C3—64no—
718C2×C3—124no—
719C2×C3#577814yescomplemented
720C2×C3C22×D3×D412yes—
721D3—24no—
722D3—44no—
723D3—64no—
724D3—122no—
725D3—124no—
726D3—124no—
727D3—242no—
728D3—242no—
729C22—34no—
730C22—64no—
731C22—64no—
732C22—92no—
733C22—124no—
734C22—182no—
735C22—182no—
736C22—182no—
737C22—362no—
738C22—362no—
739C22—728no—
740C22—724no—
741C22D32×D411yescharacteristic
742C4—22no—
743C4—22no—
744C4—34no—
745C4—64no—
746C4—92no—
747C4D32×D411yescharacteristic
748C4C23×D3211yescharacteristic
749C3—21no—
750C3C2×#577812yescomplemented
751C2—64no—
752C2—124no—
753C2—182no—
754C2—362no—
755C2—362no—
756C2#1059476712yesdirect product factor
757C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
hypercenterC2×Q16D32
hypocenterC32C2×#577
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
1. C2×#64320C2semidirect
2. C2×#64316C2semidirect
3. C2×#64128C2semidirect
4. C2×C3×#918C2semidirect
5. C2×#63949C2semidirect
6. C2×#63945C2semidirect
7. C2×#63941C2semidirect
8. C2×D3×#215C2semidirect
9. #10594767C2direct (N × H)
10. C2×#63805C2semidirect
11. C2×#63796C2semidirect
12. C2×#63794C2semidirect
15. C2×#3832C22semidirect
17. C2×C3×D3×Q8C22semidirect
19. #64320C22semidirect
21. #64316C22semidirect
27. C2×#3799C22semidirect
32. C2×#3797C22semidirect
33. C2×C32×Q16C22semidirect
34. C2×#3755C22semidirect
35. C2×#3755C22semidirect
36. #64128C22semidirect
37. C2×#3745C22semidirect
38. C2×C8×C3⋊D3C22semidirect
39. C2×C3×#216C22semidirect
40. C2×C3×#215C22semidirect
41. C3×#918C22semidirect
42. C2×C3×#204C22semidirect
43. C2×C3×ΓL(1,𝔽25)C22semidirect
44. #63949C22semidirect
45. #63945C22semidirect
46. #63941C22semidirect
47. D3×#215C22semidirect
48. C2×#3717C22semidirect
49. C2×#3715C22semidirect
50. C2×#3714C22semidirect
51. C2×#3712C22semidirect
52. C2×D3×C3⋊C8C22semidirect
53. #63805C22semidirect
54. #63796C22semidirect
55. #63794C22semidirect
66. C2×#918D3semidirect
80. #3832C23semidirect
91. C3×D3×Q8C23semidirect
116. #3799C23semidirect
123. #3797C23semidirect
124. C32×Q16C23semidirect
126. #3755C23semidirect
127. #3755C23semidirect
129. #3745C23semidirect
130. C8×C3⋊D3C23semidirect
131. C3×#216C23semidirect
132. C3×#215C23semidirect
134. C3×#204C23semidirect
135. C3×ΓL(1,𝔽25)C23semidirect
136. #3717C23semidirect
137. #3715C23semidirect
138. #3714C23semidirect
139. #3712C23semidirect
140. D3×C3⋊C8C23semidirect
157. C2×D3×Q8C2×D3semidirect
172. C2×C3×Q16C2×D3semidirect
177. C2×#216C2×D3semidirect
185. C2×#215C2×D3semidirect
193. #918C2×D3semidirect
204. C2×#204C2×D3semidirect
206. C2×ΓL(1,𝔽25)C2×D3semidirect
313. D3×Q8C22×D3semidirect
361. C3×Q16C22×D3semidirect
368. #216C22×D3semidirect
375. #215C22×D3semidirect
386. #204C22×D3semidirect
388. ΓL(1,𝔽25)C22×D3semidirect
438. C2×Q16D32semidirect
549. C2×C32#577semidirect
608. Q16C2×D32semidirect
663. C32C2×#577semidirect
719. C2×C3#5778semidirect
750. C3C2×#5778semidirect
756. C2#10594767direct (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×#643162
C2×#641282
C2×C3×#9182
C2×#639492
C2×#639452
C2×#639412
C2×D3×#2152
#105947672
C2×#638052
C2×#637962
C2×#637942
C2×#57783