Finite Group Databasebeta

← C2×#10594747 #11918611

Subgroups — C2×#10594747 #11918611

Order 1152.

3157 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64319C211yesmaximal, characteristic, complemented
2C2×#64312C211yesmaximal, characteristic, complemented
3C2×SD16×C3⋊D3C211yesmaximal, characteristic, complemented
4C2×C3×#916C212yesmaximal, complemented
5C2×#63949C212yesmaximal, complemented
6C2×#63944C211yesmaximal, characteristic, complemented
7C2×#63933C212yesmaximal, complemented
8C2×#63926C211yesmaximal, characteristic, complemented
9#10594747C2116yesmaximal, direct product factor
10C2×#63806C212yesmaximal, complemented
11C2×#63796C211yesmaximal, characteristic, complemented
12C2×D32×C8C211yesmaximal, characteristic, complemented
13C2×D3×#135—32nomaximal
14C2×Q8×C3⋊D3C2211yescharacteristic
15C2×D4×C3⋊D3C2211yescharacteristic
16C2×C3×#239C2212yescomplemented
17C2×C3×#237C2212yescomplemented
18C2×#3811—21no—
19C22×#624—21no—
20C2×#3804—22no—
21#64319—24no—
22#64319C2218yescomplemented
23#64312—24no—
24#64312C2218yescomplemented
25C2×#3802—21no—
26C2×#3802C2211yescharacteristic
27C2×C4×D32—21no—
28C2×C4×D32C2211yescharacteristic
29C2×#3799C2212yescomplemented
30C2×#3797C2211yescharacteristic
31C2×#3795—22no—
32C2×#3795C2212yescomplemented
33C2×C32×SD16C2211yescharacteristic, complemented
34C2×#3755C2211yescharacteristic, complemented
35C2×#3754C2211yescharacteristic, complemented
36SD16×C3⋊D3C2218yescomplemented
37C2×#3744C2211yescharacteristic, complemented
38C2×C8×C3⋊D3C2211yescharacteristic
39C2×C3×#216C2212yescomplemented
40C2×C3×#213C2212yescomplemented
41C3×#916C22116yescomplemented
42C2×C3×#204C2212yescomplemented
43C2×C3×D3×C8C2212yescomplemented
44#63949C22116yescomplemented
45#63944C2218yescomplemented
46#63933C22116yescomplemented
47#63926C2218yescomplemented
48C2×#3719C2212yescomplemented
49C2×#3715C2212yescomplemented
50C2×#3714C2212yescomplemented
51C2×#3710C2211yescharacteristic
52C2×D3×C3⋊C8C2212yescomplemented
53#63806C22116yescomplemented
54#63796C2218yescomplemented
55D32×C8C2218yescomplemented
56C2×D3×#41—32no—
57C2×D3×#41—32no—
58C2×C3×#135—32no—
59C2×#950—32no—
60C2×#950—32no—
61D3×#135—332no—
62C2×#919—32no—
63C2×D3×Q16—32no—
64C2×#916—32no—
65C2×#916D312yescomplemented
66C2×D3×SD16—32no—
67C2×D3×SD16—32no—
68C2×D3×SD16—61no—
69C2×#912—32no—
70C2×D3×D8—32no—
71C2×#904—32no—
72C22×D3×C8—32no—
73C23×C3⋊D3—21no—
74C22×D32—21no—
75C22×D32D411yescharacteristic
76C2×C32×Q8C2311yescharacteristic
77C2×C32×D4C2311yescharacteristic
78C2×#638—21no—
79Q8×C3⋊D3—22no—
80Q8×C3⋊D3C2314yes—
81D4×C3⋊D3—22no—
82D4×C3⋊D3C2314yes—
83C2×C4⋊(C3⋊D3)C2311yescharacteristic
84C2×C4×C3⋊D3—21no—
85C2×C4×C3⋊D3C2311yescharacteristic
86C2×#634—21no—
87C2×#634C2311yescharacteristic
88C2×C3×#67—22no—
89C22×C3×Dic3—22no—
90C3×#239—24no—
91C3×#239C2318yescomplemented
92C3×#237—24no—
93C3×#237C2318yescomplemented
94C2×C3×D12—22no—
95C2×C3×D12C2312yes—
96C2×C3×C4×D3—22no—
97C2×C3×C4×D3C2312yes—
98C2×C3×Dic6C2312yes—
99#3811—28no—
100C2×#627—21no—
101C2×#626—22no—
102C2×#625—22no—
103C2×#625—21no—
104C2×#624—21no—
105C2×#624—22no—
106C2×#624—28no—
107C2×#624D411yescharacteristic
108#3804—216no—
109C2×D3×Dic3—22no—
110C2×D3×Dic3D412yes—
111#3802—28no—
112#3802—22no—
113#3802C2314yes—
114C4×D32—28no—
115C4×D32D414yes—
116C4×D32C2314yes—
117#3799—24no—
118#3799C2318yescomplemented
119#3797—22no—
120#3797C2314yes—
121#3795—24no—
122#3795—216no—
123#3795C2318yescomplemented
124C32×SD16C2314yescomplemented
125C2×C32×C8C2311yescharacteristic
126#3755C2314yescomplemented
127#3754C2314yescomplemented
128C2×C3⋊(C3⋊C8)C2311yescharacteristic
129#3744C2314yescomplemented
130C8×C3⋊D3C2314yes—
131C3×#216C2318yescomplemented
132C3×#213C2318yescomplemented
133C2×C3×C3⋊C8C2312yes—
134C3×#204C2318yescomplemented
135C3×D3×C8C2318yescomplemented
136#3719C2318yescomplemented
137#3715C2318yescomplemented
138#3714C2318yescomplemented
139#3710C2314yes—
140D3×C3⋊C8C2318yescomplemented
141C22×#135—91noSylow
142C2×C3×#41—32no—
143C2×C3×#41—32no—
144D3×#41—316no—
145D3×#41—316no—
146D3×#41—68no—
147D3×#41—68no—
148C2×#239—32no—
149C2×#239C2×D312yescomplemented
150C2×D3×Q8—32no—
151C2×D3×Q8—32no—
152C2×D3×Q8—61no—
153C2×#237—32no—
154C2×#237—62no—
155C2×#237—62no—
156C2×#237C2×D312yescomplemented
157C2×D3×D4—32no—
158C2×D3×D4—32no—
159C2×D3×D4—61no—
160C2×D3×D4—62no—
161C2×D3×D4—62no—
162C2×#235—32no—
163C2×#235—32no—
164C2×#235—62no—
165C2×#235—62no—
166C22×C4×D3—32no—
167C22×C4×D3—62no—
168C22×C4×D3—62no—
169C3×#135—316no—
170C2×C3×Q16—32no—
171C2×C3×SD16—21no—
172C2×C3×SD16—32no—
173C2×C3×SD16C2×D312yescomplemented
174C2×C3×D8—32no—
175C22×C3×C8—32no—
176#950—316no—
177#950—316no—
178C2×#216—32no—
179C2×#216C2×D312yescomplemented
180C2×#215—32no—
181C2×#215—32no—
182C2×#215—61no—
183C2×#214—32no—
184C2×#214—32no—
185C2×#214—61no—
186C2×#213—32no—
187C2×#213C2×D312yescomplemented
188C22×C3⋊C8—32no—
189#919—316no—
190D3×Q16—316no—
191#916—316no—
192#916C2×D3116yescomplemented
193D3×SD16—316no—
194D3×SD16—316no—
195D3×SD16—68no—
196#912—316no—
197D3×D8—316no—
198C2×Dic12—32no—
199#904—316no—
200C2×D24—32no—
201C2×#204—32no—
202C2×#204—61no—
203C2×#204C2×D312yescomplemented
204C2×D3×C8—32no—
205C2×D3×C8—32no—
206C2×D3×C8—32no—
207C2×D3×C8—316no—
208C2×D3×C8—61no—
209C2×D3×C8C2×D312yescomplemented
210C23×C32—21no—
211C22×C3⋊D3—21no—
212C22×C3⋊D3—24no—
213C22×C3⋊D3—44no—
214C22×C3⋊D3C2×D411yescharacteristic
215C22×C3×D3—22no—
216C22×C3×D3C2×D412yes—
217C2×D32—24no—
218C2×D32—24no—
219C2×D32—44no—
220C2×D32C2×D414yes—
221C32×Q8—21no—
222C32×Q8C2412yes—
223C32×D4—21no—
224C32×D4C2412yes—
225C2×C32×C4—21no—
226C2×C32×C4C2411yescharacteristic
227#638—24no—
228C2×C3⋊Dic3—21no—
229C2×C3⋊Dic3C2×D411yescharacteristic
230C4⋊(C3⋊D3)—21no—
231C4⋊(C3⋊D3)C2412yes—
232C4×C3⋊D3—24no—
233C4×C3⋊D3C2×D412yes—
234C4×C3⋊D3C2412yes—
235#634—21no—
236#634—24no—
237#634C2412yes—
238C3×#67—28no—
239C2×C3×Dic3—22no—
240C2×C3×Dic3—28no—
241C2×C3×Dic3C2×D412yes—
242C3×D12—28no—
243C3×D12—22no—
244C3×D12C2414yes—
245C3×C4×D3—28no—
246C3×C4×D3C2×D414yes—
247C3×C4×D3C2414yes—
248C3×Dic6—22no—
249C3×Dic6C2414yes—
250#627—24no—
251#626—28no—
252#625—28no—
253#625—24no—
254#624—24no—
255#624—28no—
256#624C2×D414yes—
257D3×Dic3—28no—
258D3×Dic3C2×D418yes—
259C32×C8C2412yes—
260C3⋊(C3⋊C8)C2412yes—
261C3×C3⋊C8C2414yes—
262C22×#41—91no—
263C22×#41—91no—
264C2×#135—32no—
265C2×#135—92no—
266C2×#135—92no—
267C2×#135—92no—
268C2×#135—916no—
269C22×Q16—91no—
270C22×SD16—91no—
271C22×SD16—91no—
272C22×D8—91no—
273C23×C8—91no—
274C23×D3—32no—
275C23×D3—62no—
276C23×D3—62no—
277C23×D3—121no—
278C3×#41—38no—
279C3×#41—38no—
280C3×#41—64no—
281C3×#41—64no—
282C2×C3×Q8—21no—
283C2×C3×Q8—32no—
284C2×C3×Q8C22×D312yes—
285C2×C3×D4—21no—
286C2×C3×D4—32no—
287C2×C3×D4—62no—
288C2×C3×D4—62no—
289C2×C3×D4C22×D312yes—
290C22×C3×C4—32no—
291C22×C3×C4—62no—
292C22×C3×C4—62no—
293C2×#67—22no—
294C2×#67—62no—
295C2×#67—62no—
296C2×#67—62no—
297C2×#67—62no—
298C2×#67—62no—
299C2×#67—121no—
300C22×Dic3—22no—
301C22×Dic3—32no—
302C22×Dic3—62no—
303#239—24no—
304#239—38no—
305#239—64no—
306#239C22×D318yescomplemented
307D3×Q8—38no—
308D3×Q8—38no—
309D3×Q8—64no—
310D3×Q8—64no—
311D3×Q8—64no—
312D3×Q8—122no—
313#237—24no—
314#237—38no—
315#237—616no—
316#237—616no—
317#237—64no—
318#237C22×D318yescomplemented
319D3×D4—38no—
320D3×D4—38no—
321D3×D4—64no—
322D3×D4—64no—
323D3×D4—64no—
324D3×D4—616no—
325D3×D4—616no—
326D3×D4—122no—
327#235—38no—
328#235—38no—
329#235—64no—
330#235—616no—
331#235—616no—
332#235—64no—
333C2×D12—22no—
334C2×D12—32no—
335C2×D12—61no—
336C2×D12—62no—
337C2×D12C22×D312yes—
338C2×C4×D3—22no—
339C2×C4×D3—32no—
340C2×C4×D3—32no—
341C2×C4×D3—32no—
342C2×C4×D3—38no—
343C2×C4×D3—38no—
344C2×C4×D3—61no—
345C2×C4×D3—616no—
346C2×C4×D3—616no—
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×D3C22×D312yes—
354C2×Dic6—32no—
355C2×Dic6—61no—
356C2×Dic6—62no—
357C2×Dic6—62no—
358C2×Dic6—121no—
359C2×Dic6C22×D312yes—
360C3×Q16—38no—
361C3×SD16—24no—
362C3×SD16—38no—
363C3×SD16C22×D318yescomplemented
364C3×D8—38no—
365C2×C3×C8—21no—
366C2×C3×C8—32no—
367C2×C3×C8—38no—
368C2×C3×C8C22×D312yes—
369#216—38no—
370#216C22×D318yescomplemented
371#215—38no—
372#215—38no—
373#215—64no—
374#214—38no—
375#214—38no—
376#214—64no—
377#213—38no—
378#213C22×D318yescomplemented
379C2×C3⋊C8—32no—
380C2×C3⋊C8—38no—
381C2×C3⋊C8—61no—
382C2×C3⋊C8C22×D312yes—
383Dic12—38no—
384D24—38no—
385#204—38no—
386#204—64no—
387#204C22×D318yescomplemented
388D3×C8—38no—
389D3×C8—38no—
390D3×C8—38no—
391D3×C8—64no—
392D3×C8C22×D318yescomplemented
393C22×C32—22no—
394C22×C32—42no—
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—22no—
397C2×C3⋊D3—42no—
398C2×C3⋊D3—48no—
399C2×C3⋊D3#13514yescomplemented
400C2×C3⋊D3C22×D412yes—
401C2×C3×D3—24no—
402C2×C3×D3—24no—
403C2×C3×D3—44no—
404C2×C3×D3C22×D414yes—
405D32—28no—
406D32—48no—
407C32×C4—22no—
408C32×C4C22×D411yescharacteristic
409C32×C4C2511yescharacteristic
410C3⋊Dic3—22no—
411C3⋊Dic3C22×D412yes—
412C3×Dic3—24no—
413C3×Dic3C22×D414yes—
414C2×#41—32no—
415C2×#41—32no—
416C2×#41—92no—
417C2×#41—92no—
418C2×#41—98no—
419C2×#41—98no—
420C2×#41—182no—
421C2×#41—182no—
422C2×#41—184no—
423C2×#41—184no—
424C22×Q8—91no—
425C22×Q8—91no—
426C22×D4—91no—
427C22×D4—91no—
428C22×D4—181no—
429C22×D4—181no—
430C23×C4—91no—
431C23×C4—181no—
432C23×C4—181no—
433#135—316no—
434#135—916no—
435#135—916no—
436#135—916no—
437C2×Q16—32no—
438C2×Q16—92no—
439C2×Q16—98no—
440C2×SD16—32no—
441C2×SD16—98no—
442C2×SD16—92no—
443C2×SD16—91no—
444C2×SD16—91no—
445C2×SD16—98no—
446C2×SD16—91no—
447C2×SD16D3211yescharacteristic, complemented
448C2×D8—32no—
449C2×D8—92no—
450C2×D8—98no—
451C22×C8—32no—
452C22×C8—91no—
453C22×C8—98no—
454C22×C8—92no—
455C22×C8—91no—
456C23×C3—22no—
457C23×C3—32no—
458C23×C3—41no—
459C23×C3—62no—
460C22×D3—22no—
461C22×D3—32no—
462C22×D3—38no—
463C22×D3—61no—
464C22×D3—68no—
465C22×D3—68no—
466C22×D3—68no—
467C22×D3—62no—
468C22×D3—124no—
469C22×D3—121no—
470C22×D3—128no—
471C22×D3—128no—
472C22×D3—244no—
473C22×D3D3×D412yes—
474C3×Q8—22no—
475C3×Q8—22no—
476C3×Q8—34no—
477C3×Q8—41no—
478C3×Q8—62no—
479C3×Q8C23×D314yes—
480C3×D4—22no—
481C3×D4—22no—
482C3×D4—34no—
483C3×D4—41no—
484C3×D4—68no—
485C3×D4—68no—
486C3×D4—62no—
487C3×D4C23×D314yes—
488C2×C3×C4—22no—
489C2×C3×C4—21no—
490C2×C3×C4—32no—
491C2×C3×C4—34no—
492C2×C3×C4—34no—
493C2×C3×C4—41no—
494C2×C3×C4—68no—
495C2×C3×C4—68no—
496C2×C3×C4—62no—
497C2×C3×C4C23×D312yes—
498#67—28no—
499#67—68no—
500#67—68no—
501#67—68no—
502#67—68no—
503#67—68no—
504#67—124no—
505C2×Dic3—22no—
506C2×Dic3—28no—
507C2×Dic3—32no—
508C2×Dic3—38no—
509C2×Dic3—61no—
510C2×Dic3—62no—
511C2×Dic3—68no—
512C2×Dic3—121no—
513C2×Dic3D3×D412yes—
514D12—28no—
515D12—22no—
516D12—34no—
517D12—62no—
518D12—68no—
519D12—62no—
520D12—121no—
521D12C23×D314yes—
522C4×D3—28no—
523C4×D3—38no—
524C4×D3—34no—
525C4×D3—34no—
526C4×D3—38no—
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×D3D3×D414yes—
536C4×D3C23×D314yes—
537Dic6—22no—
538Dic6—34no—
539Dic6—62no—
540Dic6—68no—
541Dic6—68no—
542Dic6—62no—
543Dic6—124no—
544Dic6—121no—
545Dic6C23×D314yes—
546C3×C8—22no—
547C3×C8—34no—
548C3×C8C23×D314yes—
549C3⋊C8—34no—
550C3⋊C8—62no—
551C3⋊C8C23×D314yes—
552C2×C32—42no—
553C2×C32C2×#13512yescomplemented
554C2×C32C23×D411yescharacteristic
555C3⋊D3—42no—
556C3⋊D3C2×#13514yescomplemented
557C3×D3—24no—
558C3×D3—44no—
559C24—91no—
560C24—181no—
561C24—181no—
562#41—38no—
563#41—38no—
564#41—64no—
565#41—64no—
566#41—98no—
567#41—98no—
568#41—184no—
569#41—184no—
570#41—1816no—
571#41—1816no—
572C2×Q8—32no—
573C2×Q8—94no—
574C2×Q8—94no—
575C2×Q8—91no—
576C2×Q8—181no—
577C2×Q8—181no—
578C2×Q8—182no—
579C2×Q8—182no—
580C2×Q8C2×D3211yescharacteristic
581C2×D4—32no—
582C2×D4—62no—
583C2×D4—62no—
584C2×D4—94no—
585C2×D4—94no—
586C2×D4—91no—
587C2×D4—182no—
588C2×D4—182no—
589C2×D4—182no—
590C2×D4—181no—
591C2×D4—181no—
592C2×D4—188no—
593C2×D4—188no—
594C2×D4—182no—
595C2×D4C2×D3211yescharacteristic
596C22×C4—32no—
597C22×C4—62no—
598C22×C4—62no—
599C22×C4—94no—
600C22×C4—91no—
601C22×C4—94no—
602C22×C4—92no—
603C22×C4—91no—
604C22×C4—181no—
605C22×C4—182no—
606C22×C4—182no—
607C22×C4—188no—
608C22×C4—188no—
609C22×C4—181no—
610Q16—38no—
611Q16—98no—
612SD16—38no—
613SD16—98no—
614SD16—94no—
615SD16—94no—
616SD16—94no—
617SD16C2×D3214yescomplemented
618D8—38no—
619D8—98no—
620C2×C8—32no—
621C2×C8—38no—
622C2×C8—94no—
623C2×C8—98no—
624C2×C8—91no—
625C2×C8—94no—
626C2×C8C2×D3211yescharacteristic
627C22×C3—24no—
628C22×C3—21no—
629C22×C3—34no—
630C22×C3—42no—
631C22×C3—44no—
632C22×C3—64no—
633C22×C3—64no—
634C22×C3—82no—
635C22×C3—124no—
636C22×C3C2×D3×D412yes—
637C2×D3—24no—
638C2×D3—24no—
639C2×D3—34no—
640C2×D3—38no—
641C2×D3—44no—
642C2×D3—62no—
643C2×D3—64no—
644C2×D3—616no—
645C2×D3—64no—
646C2×D3—122no—
647C2×D3—1216no—
648C2×D3—1216no—
649C2×D3—124no—
650C2×D3—248no—
651C2×D3—242no—
652C2×D3C2×D3×D414yes—
653C3×C4—24no—
654C3×C4—21no—
655C3×C4—21no—
656C3×C4—34no—
657C3×C4—42no—
658C3×C4—64no—
659C3×C4C2×D3×D412yes—
660C3×C4C24×D312yes—
661Dic3—24no—
662Dic3—34no—
663Dic3—62no—
664Dic3—64no—
665Dic3—122no—
666Dic3C2×D3×D414yes—
667C32C22×#13511yescharacteristic, complemented, Sylow
668C23—21no—
669C23—32no—
670C23—62no—
671C23—94no—
672C23—91no—
673C23—184no—
674C23—184no—
675C23—184no—
676C23—181no—
677C23—364no—
678C23—364no—
679Q8—21no—
680Q8—34no—
681Q8—62no—
682Q8—92no—
683Q8—184no—
684Q8—184no—
685Q8—181no—
686Q8C22×D3212yes—
687D4—21no—
688D4—34no—
689D4—68no—
690D4—68no—
691D4—62no—
692D4—92no—
693D4—188no—
694D4—184no—
695D4—184no—
696D4—188no—
697D4—181no—
698D4C22×D3212yes—
699C2×C4—21no—
700C2×C4—32no—
701C2×C4—34no—
702C2×C4—34no—
703C2×C4—68no—
704C2×C4—68no—
705C2×C4—62no—
706C2×C4—94no—
707C2×C4—98no—
708C2×C4—91no—
709C2×C4—92no—
710C2×C4—92no—
711C2×C4—184no—
712C2×C4—188no—
713C2×C4—188no—
714C2×C4—184no—
715C2×C4—181no—
716C2×C4C22×D3211yescharacteristic
717C8—34no—
718C8—92no—
719C8C22×D3212yes—
720C2×C3—21no—
721C2×C3—22no—
722C2×C3—44no—
723C2×C3—64no—
724C2×C3—82no—
725C2×C3—124no—
726C2×C3D3×#13514yescomplemented
727C2×C3C22×D3×D412yes—
728D3—24no—
729D3—38no—
730D3—44no—
731D3—64no—
732D3—124no—
733D3—242no—
734C22—22no—
735C22—34no—
736C22—42no—
737C22—64no—
738C22—64no—
739C22—92no—
740C22—94no—
741C22—124no—
742C22—188no—
743C22—182no—
744C22—368no—
745C22—368no—
746C22—362no—
747C22D32×D411yescharacteristic
748C4—22no—
749C4—34no—
750C4—64no—
751C4—92no—
752C4—182no—
753C4D32×D411yescharacteristic
754C4C23×D3211yescharacteristic
755C3—21no—
756C3C2×D3×#13512yescomplemented
757C2—42no—
758C2—64no—
759C2—94no—
760C2—124no—
761C2—362no—
762C2#1059474712yesdirect product factor
763C2C2×D32×D411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC32×C4C25
FrattiniC4C23×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
hypercenterC2×SD16D32
hypocenterC32C22×#135
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×#64319C2semidirect
2. C2×#64312C2semidirect
3. C2×SD16×C3⋊D3C2semidirect
4. C2×C3×#916C2semidirect
5. C2×#63949C2semidirect
6. C2×#63944C2semidirect
7. C2×#63933C2semidirect
8. C2×#63926C2semidirect
9. #10594747C2direct (N × H)
10. C2×#63806C2semidirect
11. C2×#63796C2semidirect
12. C2×D32×C8C2semidirect
16. C2×C3×#239C22semidirect
17. C2×C3×#237C22semidirect
22. #64319C22semidirect
24. #64312C22semidirect
29. C2×#3799C22semidirect
32. C2×#3795C22semidirect
33. C2×C32×SD16C22semidirect
34. C2×#3755C22semidirect
35. C2×#3754C22semidirect
36. SD16×C3⋊D3C22semidirect
37. C2×#3744C22semidirect
39. C2×C3×#216C22semidirect
40. C2×C3×#213C22semidirect
41. C3×#916C22semidirect
42. C2×C3×#204C22semidirect
43. C2×C3×D3×C8C22semidirect
44. #63949C22semidirect
45. #63944C22semidirect
46. #63933C22semidirect
47. #63926C22semidirect
48. C2×#3719C22semidirect
49. C2×#3715C22semidirect
50. C2×#3714C22semidirect
52. C2×D3×C3⋊C8C22semidirect
53. #63806C22semidirect
54. #63796C22semidirect
55. D32×C8C22semidirect
65. C2×#916D3semidirect
91. C3×#239C23semidirect
93. C3×#237C23semidirect
118. #3799C23semidirect
123. #3795C23semidirect
124. C32×SD16C23semidirect
126. #3755C23semidirect
127. #3754C23semidirect
129. #3744C23semidirect
131. C3×#216C23semidirect
132. C3×#213C23semidirect
134. C3×#204C23semidirect
135. C3×D3×C8C23semidirect
136. #3719C23semidirect
137. #3715C23semidirect
138. #3714C23semidirect
140. D3×C3⋊C8C23semidirect
149. C2×#239C2×D3semidirect
156. C2×#237C2×D3semidirect
173. C2×C3×SD16C2×D3semidirect
179. C2×#216C2×D3semidirect
187. C2×#213C2×D3semidirect
192. #916C2×D3semidirect
203. C2×#204C2×D3semidirect
209. C2×D3×C8C2×D3semidirect
306. #239C22×D3semidirect
318. #237C22×D3semidirect
363. C3×SD16C22×D3semidirect
370. #216C22×D3semidirect
378. #213C22×D3semidirect
387. #204C22×D3semidirect
392. D3×C8C22×D3semidirect
399. C2×C3⋊D3#135semidirect
447. C2×SD16D32semidirect
553. C2×C32C2×#135semidirect
556. C3⋊D3C2×#135semidirect
617. SD16C2×D32semidirect
667. C32C22×#135semidirect
726. C2×C3D3×#135semidirect
756. C3C2×D3×#135semidirect
762. C2#10594747direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#643192
C2×#643122
C2×SD16×C3⋊D32
C2×C3×#9162
C2×#639492
C2×#639442
C2×#639332
C2×#639262
#105947472
C2×#638062
C2×#637962
C2×D32×C82
C2×D3×#1353