Finite Group Databasebeta

← C2×#10594733 #11918874

Subgroups — C2×#10594733 #11918874

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×#64313C211yesmaximal, characteristic, complemented
2C2×#64309C211yesmaximal, characteristic, complemented
3C2×#64121C211yesmaximal, characteristic, complemented
4C2×C3×#911C212yesmaximal, complemented
5C2×#63933C212yesmaximal, complemented
6C2×#63931C211yesmaximal, characteristic, complemented
7C2×D3×#214C212yesmaximal, complemented
8C2×#63927C211yesmaximal, characteristic, complemented
9#10594733C2116yesmaximal, direct product factor
10C2×#63805C211yesmaximal, characteristic, complemented
11C2×#63800C212yesmaximal, complemented
12C2×#63796C211yesmaximal, characteristic, complemented
13C2×#5775—32nomaximal
14C2×#3830C2211yescharacteristic
15C2×#3830C2211yescharacteristic, complemented
16C2×C3×#237C2212yescomplemented
17C2×C3×D3×D4C2212yes—
18C2×D3×#67—22no—
19C22×#627—21no—
20C22×#625—21no—
21C2×#3805—21no—
22C2×#3805—21no—
23C2×#3804—22no—
24#64313—24no—
25#64313C2218yescomplemented
26#64309—24no—
27#64309C2218yescomplemented
28C2×#3802C2211yescharacteristic
29C2×#3798C2211yescharacteristic
30C2×#3797C2211yescharacteristic, complemented
31C2×#3795C2212yes—
32C2×D3×Dic6C2212yescomplemented
33C2×C32×D8C2211yescharacteristic, complemented
34C2×#3754C2211yescharacteristic, complemented
35C2×#3754C2211yescharacteristic, complemented
36#64121C2218yescomplemented
37C2×#3746C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic, complemented
39C2×C3×#214C2212yescomplemented
40C2×C3×#213C2212yescomplemented
41C3×#911C22116yescomplemented
42C2×C3×#204C2212yescomplemented
43C2×C3×ΓL(1,𝔽25)C2212yescomplemented
44#63933C22116yescomplemented
45#63931C2218yescomplemented
46D3×#214C22116yescomplemented
47#63927C2218yescomplemented
48C2×#3719C2212yescomplemented
49C2×#3716C2212yescomplemented
50C2×#3715C2212yescomplemented
51C2×#3712C2211yescharacteristic, complemented
52C2×D3×C3⋊C8C2212yescomplemented
53#63805C2218yescomplemented
54#63800C22116yescomplemented
55#63796C2218yescomplemented
56C2×#1010—32no—
57C2×#1004—32no—
58C2×C3×AGL(1,ℤ/8)—32no—
59C2×#950—32no—
60C22×#214—32no—
61#5775—332no—
62C2×#915—32no—
63C2×#915—32no—
64C2×D3×SD16—32no—
65C2×D3×SD16—32no—
66C2×#912—32no—
67C2×#912—32no—
68C2×#912—61no—
69C2×#911—32no—
70C2×#911D312yescomplemented
71C2×#909—32no—
72C2×#907—32no—
73C23×C3×D3—22no—
74C22×D32—21no—
75C2×C32×D4C2311yescharacteristic
76C2×C32×D4C2311yescharacteristic
77C2×#638—21no—
78C2×#638—21no—
79C22×C3⋊Dic3—21no—
80C22×C3⋊Dic3—21no—
81#3830—22no—
82#3830—22no—
83#3830C2314yes—
84#3830C2314yescomplemented
85C2×C4×C3⋊D3C2311yescharacteristic
86C2×#634C2311yescharacteristic
87C2×#634C2311yescharacteristic
88C2×C3×#67—22no—
89C2×C3×#67—22no—
90C22×C3×Dic3—22no—
91C3×#237—24no—
92C3×#237C2318yescomplemented
93C3×D3×D4—24no—
94C3×D3×D4C2318yes—
95C2×C3×D12C2312yes—
96C2×C3×C4×D3C2312yes—
97C2×C3×Dic6C2312yes—
98D3×#67—216no—
99C2×#627—21no—
100C2×#627—22no—
101C2×#627—28no—
102C2×#627D411yescharacteristic
103C2×#626D412yes—
104C2×#625—22no—
105C2×#625—21no—
106C2×#625—28no—
107C2×#625D411yescharacteristic
108C2×#624—21no—
109#3805—28no—
110#3805—28no—
111#3804—216no—
112C2×D3×Dic3—22no—
113C2×D3×Dic3—22no—
114#3802—22no—
115#3802C2314yes—
116#3798D414yes—
117#3798C2314yes—
118#3797—22no—
119#3797C2314yescomplemented
120#3795—24no—
121#3795C2318yes—
122D3×Dic6—24no—
123D3×Dic6C2318yescomplemented
124C32×D8C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3754C2314yescomplemented
127#3754C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3746C2314yescomplemented
130C8×C3⋊D3C2314yescomplemented
131C3×#214C2318yescomplemented
132C3×#213C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×#204C2318yescomplemented
135C3×ΓL(1,𝔽25)C2318yescomplemented
136#3719C2318yescomplemented
137#3716C2318yescomplemented
138#3715C2318yescomplemented
139#3712C2314yescomplemented
140D3×C3⋊C8C2318yescomplemented
141C2×#577—91noSylow
142C2×C3×#41—32no—
143C22×C3×D4—32no—
144C22×#67—62no—
145C22×#67—62no—
146#1010—316no—
147#1010—68no—
148C2×D3×Q8—32no—
149C2×D3×Q8—32no—
150#1004—316no—
151#1004—68no—
152C2×#237—32no—
153C2×#237—32no—
154C2×#237—32no—
155C2×#237—61no—
156C2×#237—61no—
157C2×#237—62no—
158C2×#237—62no—
159C2×#237—62no—
160C2×#237C2×D312yescomplemented
161C2×D3×D4—32no—
162C2×D3×D4—62no—
163C2×D3×D4C2×D312yes—
164C2×#235—32no—
165C2×#235—32no—
166C2×#235—62no—
167C22×Dic6—32no—
168C22×Dic6—62no—
169C3×AGL(1,ℤ/8)—316no—
170C2×C3×SD16—32no—
171C2×C3×SD16—32no—
172C2×C3×D8—21no—
173C2×C3×D8—32no—
174C2×C3×D8C2×D312yescomplemented
175C2×C3×M16—32no—
176#950—316no—
177C2×#216—32no—
178C2×#215—32no—
179C2×#214—32no—
180C2×#214—32no—
181C2×#214—32no—
182C2×#214—316no—
183C2×#214—32no—
184C2×#214—61no—
185C2×#214—61no—
186C2×#214C2×D312yescomplemented
187C2×#213C2×D312yescomplemented
188C22×C3⋊C8—32no—
189#915—316no—
190#915—316no—
191D3×SD16—316no—
192D3×SD16—316no—
193#912—316no—
194#912—316no—
195#912—68no—
196#911—316no—
197#911C2×D3116yescomplemented
198#909—316no—
199#907—316no—
200C2×Dic12—32no—
201C2×Dic12—32no—
202C2×Dic12—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—
210C23×C32—21no—
211C23×C32—21no—
212C22×C3⋊D3C2×D411yescharacteristic
213C22×C3×D3—22no—
214C22×C3×D3—28no—
215C22×C3×D3—84no—
216C22×C3×D3C2×D412yes—
217C2×D32—24no—
218C2×D32—82no—
219C32×D4—21no—
220C32×D4—21no—
221C32×D4C2412yes—
222C32×D4C2412yes—
223C2×C32×C4C2411yescharacteristic
224#638—24no—
225#638—24no—
226C2×C3⋊Dic3—21no—
227C2×C3⋊Dic3—21no—
228C2×C3⋊Dic3—24no—
229C2×C3⋊Dic3—24no—
230C2×C3⋊Dic3C2×D411yescharacteristic
231C4×C3⋊D3C2×D412yes—
232C4×C3⋊D3C2412yes—
233#634—21no—
234#634—21no—
235#634C2412yes—
236#634C2412yes—
237C3×#67—28no—
238C3×#67—28no—
239C2×C3×Dic3—22no—
240C2×C3×Dic3—28no—
241C2×C3×Dic3C2×D412yes—
242C3×D12—22no—
243C3×D12C2414yes—
244C3×C4×D3C2×D414yes—
245C3×C4×D3C2414yes—
246C3×Dic6—22no—
247C3×Dic6C2414yes—
248#627—24no—
249#627—28no—
250#627C2×D414yes—
251#626C2×D418yes—
252#625—28no—
253#625—24no—
254#625C2×D414yes—
255#624—24no—
256D3×Dic3—28no—
257D3×Dic3—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—92no—
265C2×#137—91no—
266C2×AGL(1,ℤ/8)—32no—
267C2×AGL(1,ℤ/8)—91no—
268C2×#135—92no—
269C2×#135—91no—
270C22×SD16—91no—
271C22×SD16—92no—
272C2×#131—91no—
273C24×C3—62no—
274C23×D3—22no—
275C23×D3—62no—
276C3×#41—38no—
277C3×#41—64no—
278C2×C3×Q8—32no—
279C2×C3×D4—21no—
280C2×C3×D4—21no—
281C2×C3×D4—38no—
282C2×C3×D4—32no—
283C2×C3×D4—64no—
284C2×C3×D4—62no—
285C2×C3×D4—62no—
286C2×C3×D4C22×D312yes—
287C2×C3×D4C22×D312yes—
288C22×C3×C4—32no—
289C22×C3×C4—62no—
290C2×#67—22no—
291C2×#67—22no—
292C2×#67—32no—
293C2×#67—32no—
294C2×#67—62no—
295C2×#67—616no—
296C2×#67—616no—
297C2×#67—62no—
298C2×#67—62no—
299C2×#67—62no—
300C2×#67—62no—
301C2×#67—121no—
302C2×#67—121no—
303C22×Dic3—22no—
304C22×Dic3—62no—
305C22×Dic3—62no—
306C22×Dic3—62no—
307C22×Dic3—62no—
308C22×Dic3—121no—
309C22×Dic3—121no—
310D3×Q8—38no—
311D3×Q8—38no—
312D3×Q8—64no—
313D3×Q8—64no—
314#237—24no—
315#237—38no—
316#237—38no—
317#237—38no—
318#237—64no—
319#237—64no—
320#237—616no—
321#237—64no—
322#237—64no—
323#237—616no—
324#237—616no—
325#237—64no—
326#237—122no—
327#237—122no—
328#237C22×D318yescomplemented
329D3×D4—24no—
330D3×D4—38no—
331D3×D4—64no—
332D3×D4—616no—
333D3×D4C22×D318yes—
334#235—38no—
335#235—38no—
336#235—38no—
337#235—64no—
338#235—616no—
339C2×D12—32no—
340C2×D12C22×D312yes—
341C2×C4×D3—32no—
342C2×C4×D3—61no—
343C2×C4×D3—62no—
344C2×C4×D3—62no—
345C2×C4×D3—62no—
346C2×C4×D3C22×D312yes—
347C2×Dic6—32no—
348C2×Dic6—32no—
349C2×Dic6—32no—
350C2×Dic6—38no—
351C2×Dic6—61no—
352C2×Dic6—61no—
353C2×Dic6—64no—
354C2×Dic6—616no—
355C2×Dic6—62no—
356C2×Dic6—62no—
357C2×Dic6—62no—
358C2×Dic6C22×D312yes—
359C3×SD16—38no—
360C3×SD16—38no—
361C3×D8—24no—
362C3×D8—38no—
363C3×D8C22×D318yescomplemented
364C3×M16—38no—
365C2×C3×C8—21no—
366C2×C3×C8—32no—
367C2×C3×C8C22×D312yes—
368#216—38no—
369#215—38no—
370#214—38no—
371#214—38no—
372#214—38no—
373#214—38no—
374#214—64no—
375#214—64no—
376#214C22×D318yescomplemented
377#213C22×D318yescomplemented
378C2×C3⋊C8—32no—
379C2×C3⋊C8—38no—
380C2×C3⋊C8—61no—
381C2×C3⋊C8C22×D312yes—
382Dic12—38no—
383Dic12—38no—
384Dic12—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×C32—22no—
393C22×C32—22no—
394C22×C32—42no—
395C22×C32—42no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—22no—
398C2×C3⋊D3C22×D412yes—
399C2×C3×D3—24no—
400C2×C3×D3—24no—
401C2×C3×D3—44no—
402C2×C3×D3—88no—
403C2×C3×D3C22×D414yes—
404D32—84no—
405C32×C4C22×D411yescharacteristic
406C32×C4C2511yescharacteristic
407C3⋊Dic3—22no—
408C3⋊Dic3—22no—
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—182no—
422C2×#41—181no—
423C2×#41—181no—
424C22×Q8—92no—
425C22×Q8—91no—
426C22×Q8—181no—
427C22×D4—32no—
428C22×D4—91no—
429C22×D4—182no—
430C22×D4—181no—
431#137—916no—
432#137—98no—
433AGL(1,ℤ/8)—316no—
434AGL(1,ℤ/8)—98no—
435#135—916no—
436#135—98no—
437C2×Q16—92no—
438C2×Q16—91no—
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—32no—
448C2×D8D3211yescharacteristic, complemented
449#131—98no—
450C2×M16—32no—
451C2×M16—91no—
452C22×C8—92no—
453C22×C8—91no—
454C23×C3—22no—
455C23×C3—22no—
456C23×C3—32no—
457C23×C3—41no—
458C23×C3—41no—
459C23×C3—68no—
460C23×C3—62no—
461C23×C3—244no—
462C22×D3—22no—
463C22×D3—28no—
464C22×D3—32no—
465C22×D3—61no—
466C22×D3—68no—
467C22×D3—84no—
468C22×D3—244no—
469C22×D3D3×D412yes—
470C3×Q8—34no—
471C3×Q8—62no—
472C3×D4—22no—
473C3×D4—22no—
474C3×D4—22no—
475C3×D4—22no—
476C3×D4—34no—
477C3×D4—41no—
478C3×D4—41no—
479C3×D4—68no—
480C3×D4—68no—
481C3×D4—62no—
482C3×D4C23×D314yes—
483C3×D4C23×D314yes—
484C2×C3×C4—21no—
485C2×C3×C4—32no—
486C2×C3×C4—34no—
487C2×C3×C4—34no—
488C2×C3×C4—68no—
489C2×C3×C4—62no—
490C2×C3×C4C23×D312yes—
491#67—28no—
492#67—28no—
493#67—38no—
494#67—38no—
495#67—68no—
496#67—68no—
497#67—68no—
498#67—68no—
499#67—68no—
500#67—124no—
501#67—124no—
502C2×Dic3—22no—
503C2×Dic3—28no—
504C2×Dic3—32no—
505C2×Dic3—61no—
506C2×Dic3—68no—
507C2×Dic3—68no—
508C2×Dic3—68no—
509C2×Dic3—62no—
510C2×Dic3—62no—
511C2×Dic3—68no—
512C2×Dic3—124no—
513C2×Dic3—124no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3D3×D412yes—
517D12—22no—
518D12—38no—
519D12C23×D314yes—
520C4×D3—34no—
521C4×D3—34no—
522C4×D3—62no—
523C4×D3—62no—
524C4×D3—68no—
525C4×D3—68no—
526C4×D3—68no—
527C4×D3D3×D414yes—
528C4×D3C23×D314yes—
529Dic6—22no—
530Dic6—38no—
531Dic6—34no—
532Dic6—34no—
533Dic6—62no—
534Dic6—62no—
535Dic6—68no—
536Dic6—68no—
537Dic6—62no—
538Dic6—62no—
539Dic6—68no—
540Dic6—121no—
541Dic6—121no—
542Dic6C23×D314yes—
543C3×C8—22no—
544C3×C8—34no—
545C3×C8C23×D314yes—
546C3⋊C8—34no—
547C3⋊C8—62no—
548C3⋊C8C23×D314yes—
549C2×C32—42no—
550C2×C32—42no—
551C2×C32#57712yescomplemented
552C2×C32C23×D411yescharacteristic
553C3⋊D3—22no—
554C3×D3—24no—
555C3×D3—44no—
556C24—62no—
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—1816no—
567#41—182no—
568#41—182no—
569#41—188no—
570#41—188no—
571C2×Q8—32no—
572C2×Q8—91no—
573C2×Q8—98no—
574C2×Q8—94no—
575C2×Q8—91no—
576C2×Q8—91no—
577C2×Q8—182no—
578C2×Q8—184no—
579C2×Q8—181no—
580C2×Q8—188no—
581C2×Q8—182no—
582C2×D4—38no—
583C2×D4—32no—
584C2×D4—64no—
585C2×D4—62no—
586C2×D4—62no—
587C2×D4—92no—
588C2×D4—94no—
589C2×D4—91no—
590C2×D4—182no—
591C2×D4—181no—
592C2×D4—1816no—
593C2×D4—188no—
594C2×D4—181no—
595C2×D4—181no—
596C2×D4—182no—
597C2×D4C2×D3211yescharacteristic
598C2×D4C2×D3211yescharacteristic
599C22×C4—32no—
600C22×C4—62no—
601C22×C4—91no—
602C22×C4—182no—
603C22×C4—181no—
604C22×C4—182no—
605C22×C4—181no—
606C22×C4—181no—
607Q16—98no—
608Q16—94no—
609SD16—38no—
610SD16—38no—
611SD16—98no—
612SD16—98no—
613SD16—94no—
614SD16—94no—
615D8—38no—
616D8C2×D3214yescomplemented
617M16—38no—
618M16—94no—
619C2×C8—32no—
620C2×C8—98no—
621C2×C8—91no—
622C2×C8—94no—
623C2×C8C2×D3211yescharacteristic
624C22×C3—24no—
625C22×C3—24no—
626C22×C3—21no—
627C22×C3—34no—
628C22×C3—42no—
629C22×C3—42no—
630C22×C3—44no—
631C22×C3—44no—
632C22×C3—64no—
633C22×C3—64no—
634C22×C3—82no—
635C22×C3—82no—
636C22×C3—124no—
637C22×C3—248no—
638C22×C3C2×D3×D412yes—
639C2×D3—24no—
640C2×D3—24no—
641C2×D3—34no—
642C2×D3—44no—
643C2×D3—62no—
644C2×D3—64no—
645C2×D3—88no—
646C2×D3—122no—
647C2×D3—248no—
648C2×D3C2×D3×D414yes—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—34no—
652C3×C4—64no—
653C3×C4C2×D3×D412yes—
654C3×C4C24×D312yes—
655Dic3—24no—
656Dic3—34no—
657Dic3—62no—
658Dic3—64no—
659Dic3—64no—
660Dic3—122no—
661Dic3—122no—
662Dic3C2×D3×D414yes—
663C32C2×#57711yescharacteristic, complemented, Sylow
664C23—21no—
665C23—21no—
666C23—32no—
667C23—68no—
668C23—62no—
669C23—91no—
670C23—184no—
671C23—244no—
672C23—722no—
673Q8—34no—
674Q8—62no—
675Q8—94no—
676Q8—92no—
677Q8—92no—
678Q8—188no—
679Q8—184no—
680Q8—181no—
681Q8—181no—
682D4—21no—
683D4—21no—
684D4—34no—
685D4—68no—
686D4—68no—
687D4—62no—
688D4—98no—
689D4—94no—
690D4—184no—
691D4—184no—
692D4—184no—
693D4—188no—
694D4C22×D3212yes—
695D4C22×D3212yes—
696C2×C4—32no—
697C2×C4—34no—
698C2×C4—34no—
699C2×C4—68no—
700C2×C4—62no—
701C2×C4—91no—
702C2×C4—92no—
703C2×C4—92no—
704C2×C4—188no—
705C2×C4—184no—
706C2×C4—188no—
707C2×C4—184no—
708C2×C4—184no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4C22×D3211yescharacteristic
712C8—34no—
713C8—92no—
714C8C22×D3212yes—
715C2×C3—21no—
716C2×C3—22no—
717C2×C3—44no—
718C2×C3—44no—
719C2×C3—64no—
720C2×C3—82no—
721C2×C3—82no—
722C2×C3—124no—
723C2×C3#577514yescomplemented
724C2×C3C22×D3×D412yes—
725D3—24no—
726D3—44no—
727D3—64no—
728D3—122no—
729C22—22no—
730C22—22no—
731C22—34no—
732C22—42no—
733C22—42no—
734C22—64no—
735C22—64no—
736C22—92no—
737C22—124no—
738C22—182no—
739C22—248no—
740C22—724no—
741C22D32×D411yescharacteristic
742C4—34no—
743C4—64no—
744C4—92no—
745C4—182no—
746C4—182no—
747C4D32×D411yescharacteristic
748C4C23×D3211yescharacteristic
749C3—21no—
750C3C2×#577512yescomplemented
751C2—42no—
752C2—42no—
753C2—64no—
754C2—124no—
755C2—182no—
756C2#1059473312yesdirect product factor
757C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×D8C22
socleC22×C32C22×D4
hypercenterC2×D8D32
hypocenterC32C2×#577
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×#64313C2semidirect
2. C2×#64309C2semidirect
3. C2×#64121C2semidirect
4. C2×C3×#911C2semidirect
5. C2×#63933C2semidirect
6. C2×#63931C2semidirect
7. C2×D3×#214C2semidirect
8. C2×#63927C2semidirect
9. #10594733C2direct (N × H)
10. C2×#63805C2semidirect
11. C2×#63800C2semidirect
12. C2×#63796C2semidirect
15. C2×#3830C22semidirect
16. C2×C3×#237C22semidirect
25. #64313C22semidirect
27. #64309C22semidirect
30. C2×#3797C22semidirect
32. C2×D3×Dic6C22semidirect
33. C2×C32×D8C22semidirect
34. C2×#3754C22semidirect
35. C2×#3754C22semidirect
36. #64121C22semidirect
37. C2×#3746C22semidirect
38. C2×C8×C3⋊D3C22semidirect
39. C2×C3×#214C22semidirect
40. C2×C3×#213C22semidirect
41. C3×#911C22semidirect
42. C2×C3×#204C22semidirect
43. C2×C3×ΓL(1,𝔽25)C22semidirect
44. #63933C22semidirect
45. #63931C22semidirect
46. D3×#214C22semidirect
47. #63927C22semidirect
48. C2×#3719C22semidirect
49. C2×#3716C22semidirect
50. C2×#3715C22semidirect
51. C2×#3712C22semidirect
52. C2×D3×C3⋊C8C22semidirect
53. #63805C22semidirect
54. #63800C22semidirect
55. #63796C22semidirect
70. C2×#911D3semidirect
84. #3830C23semidirect
92. C3×#237C23semidirect
119. #3797C23semidirect
123. D3×Dic6C23semidirect
124. C32×D8C23semidirect
126. #3754C23semidirect
127. #3754C23semidirect
129. #3746C23semidirect
130. C8×C3⋊D3C23semidirect
131. C3×#214C23semidirect
132. C3×#213C23semidirect
134. C3×#204C23semidirect
135. C3×ΓL(1,𝔽25)C23semidirect
136. #3719C23semidirect
137. #3716C23semidirect
138. #3715C23semidirect
139. #3712C23semidirect
140. D3×C3⋊C8C23semidirect
160. C2×#237C2×D3semidirect
174. C2×C3×D8C2×D3semidirect
186. C2×#214C2×D3semidirect
187. C2×#213C2×D3semidirect
197. #911C2×D3semidirect
204. C2×#204C2×D3semidirect
206. C2×ΓL(1,𝔽25)C2×D3semidirect
328. #237C22×D3semidirect
363. C3×D8C22×D3semidirect
376. #214C22×D3semidirect
377. #213C22×D3semidirect
386. #204C22×D3semidirect
388. ΓL(1,𝔽25)C22×D3semidirect
448. C2×D8D32semidirect
551. C2×C32#577semidirect
616. D8C2×D32semidirect
663. C32C2×#577semidirect
723. C2×C3#5775semidirect
750. C3C2×#5775semidirect
756. C2#10594733direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#643132
C2×#643092
C2×#641212
C2×C3×#9112
C2×#639332
C2×#639312
C2×D3×#2142
C2×#639272
#105947332
C2×#638052
C2×#638002
C2×#637962
C2×#57753