Finite Group Databasebeta

← C2×#11748248 #14425007

Subgroups — C2×#11748248 #14425007

Order 1920.

1688 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92017C211yesmaximal, characteristic, complemented
2C2×#91797C211yesmaximal, characteristic, complemented
3C2×#91458C211yesmaximal, characteristic, complemented
4C2×#91305C211yesmaximal, characteristic, complemented
5C2×C5×#825C211yesmaximal, characteristic, complemented
6C2×C3×#3955C211yesmaximal, characteristic, complemented
7C2×#90980C211yesmaximal, characteristic, complemented
8#11748248C218yesmaximal, direct product factor
9C2×#65111—31nomaximal, Hall
10C2×#6817C2211yescharacteristic
11C22×D60C2211yescharacteristic, complemented
12C2×C5×#235C2211yescharacteristic
13C22×C3×D20C2211yescharacteristic
14C2×D5×#67—22no—
15C22×#1202—22no—
16#92017—22no—
17#92017—22no—
18#92017—22no—
19#92017C2214yescomplemented
20C2×#6777—21no—
21C2×D3×D20—21no—
22C2×#6766—21no—
23C2×#6765—21no—
24C2×C3×C5×M16C2211yescharacteristic, complemented
25#91797—22no—
26#91797C2214yescomplemented
27C2×D120—21no—
28C2×#6706—21no—
29C2×C4×C5×Dic3C2211yescharacteristic, complemented
30C2×C3×#681C2211yescharacteristic, complemented
31#91458—22no—
32#91458C2214yescomplemented
33C2×#6660—21no—
34#91305—22no—
35#91305C2214yescomplemented
36C2×#6654—21no—
37C5×#825C2214yescomplemented
38C3×#3955C2214yescomplemented
39#90980C2214yescomplemented
40C2×#4747—51nomaximal, Hall
41C2×#4149—31no—
42C2×#4095—31no—
43C2×#4054—31no—
44C2×#4020—31no—
45C2×C5×#104—31no—
46C2×#3955D311yescharacteristic, complemented
47C2×#3937—31no—
48#65111—38no—
49C23×D15—21no—
50C23×C3×D5D412yes—
51C22×D3×D5—22no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×#1220—21no—
54#6817—21no—
55#6817—21no—
56#6817D412yescomplemented
57#6817C2312yes—
58C2×D60—21no—
59C2×D60—21no—
60C2×D60—21no—
61C2×D60—21no—
62C2×D60—21no—
63C2×D60D411yescharacteristic, complemented
64C2×D60C2312yescomplemented
65C2×C4×D15—21no—
66C2×Dic30D411yescharacteristic, complemented
67C2×C5×#67—21no—
68C22×C5×Dic3—21no—
69C5×#235—21no—
70C5×#235—21no—
71C5×#235D412yescomplemented
72C5×#235C2312yes—
73C2×C5×D12D411yescharacteristic, complemented
74C2×C4×C5×D3—21no—
75C2×C5×Dic6D411yescharacteristic, complemented
76C2×C3×D20—21no—
77C2×C3×D20—21no—
78C2×C3×D20—21no—
79C2×C3×D20—21no—
80C2×C3×D20D412yes—
81C2×C3×D20C2312yes—
82D5×#67—28no—
83D5×#67—28no—
84C2×#1202—22no—
85C2×#1202—28no—
86C2×#1202—48no—
87C2×#1201—22no—
88C2×D5×Dic3—22no—
89#6777—24no—
90#6777—24no—
91D3×D20—24no—
92D3×D20—24no—
93#6766—24no—
94#6766—24no—
95#6765—24no—
96#6765—24no—
97C3×C5×M16—21no—
98C3×C5×M16C2312yescomplemented
99C2×C3×C5×C8—21no—
100D120—24no—
101#6706—24no—
102C4×C5×Dic3—21no—
103C4×C5×Dic3C2312yescomplemented
104C3×#681—21no—
105C3×#681C2312yescomplemented
106C2×C3×#168—21no—
107#6660—24no—
108#6654—24no—
109C2×#1004—51no—
110C2×#940—51no—
111C2×#908—51no—
112C2×#908—51no—
113C2×C3×#100—51no—
114C2×#825—51no—
115C2×#825D511yescharacteristic, complemented
116#4747—58no—
117C2×C5×#41—31no—
118#4149—34no—
119#4149—62no—
120#4149—62no—
121#4149—62no—
122C2×#713—61no—
123C2×D4×D5—61no—
124C2×D4×D5—62no—
125C2×#709—31no—
126C2×#709—61no—
127C22×D20—31no—
128C22×D20—61no—
129C22×D20—62no—
130C22×D20C2×D311yescharacteristic
131C2×C5×M16C2×D311yescharacteristic, complemented
132C2×C42×C5—31no—
133#4095—34no—
134#4095—62no—
135C2×#688—61no—
136C2×#686—61no—
137C2×#681C2×D311yescharacteristic, complemented
138#4054—34no—
139#4054—62no—
140C2×D40—61no—
141C2×#677—61no—
142#4020—34no—
143#4020—62no—
144C5×#104—34no—
145#3955C2×D314yescomplemented
146#3937—34no—
147C2×#453—151noSylow
148C23×C3×C5C2×D411yescharacteristic
149C22×D15—21no—
150C22×D15—22no—
151C22×D15—44no—
152C22×D15—41no—
153C22×D15—41no—
154C22×C5×D3—21no—
155C22×C3×D5—22no—
156C22×C3×D5—22no—
157C22×C3×D5—44no—
158C22×C3×D5C2×D414yes—
159C2×D3×D5—28no—
160C2×D3×D5—84no—
161C2×C3×C4×C5C2×D411yescharacteristic
162C2×C3×C4×C5C2×D411yescharacteristic
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2411yescharacteristic
167#1220—22no—
168#1220—22no—
169C2×Dic15—21no—
170D60—21no—
171D60—22no—
172D60—22no—
173D60—41no—
174D60—41no—
175D60C2×D412yescomplemented
176C4×D15—22no—
177C4×D15—22no—
178Dic30—21no—
179Dic30C2×D412yescomplemented
180C5×#67—22no—
181C5×#67—22no—
182C2×C5×Dic3—24no—
183C2×C5×Dic3—21no—
184C2×C5×Dic3—22no—
185C5×D12—21no—
186C5×D12C2×D412yescomplemented
187C4×C5×D3—22no—
188C4×C5×D3—22no—
189C5×Dic6—21no—
190C5×Dic6C2×D412yescomplemented
191C3×D20—22no—
192C3×D20—22no—
193C3×D20—22no—
194C3×D20—22no—
195#1202—28no—
196#1202—416no—
197#1201—28no—
198D5×Dic3—28no—
199C3×C5×C8—22no—
200C3×#168—22no—
201C22×C3×D4—51no—
202C22×#67—102no—
203C22×#67—102no—
204#1004—54no—
205#1004—102no—
206#1004—102no—
207#1004—102no—
208C2×#237—101no—
209C2×#237—101no—
210C2×D3×D4—101no—
211C2×D3×D4—101no—
212C2×#235—51no—
213C2×#235C2×D511yescharacteristic
214C22×D12—51no—
215C2×C3×M16—51no—
216C2×C3×M16C2×D511yescharacteristic, complemented
217#940—54no—
218#940—102no—
219C2×C4×Dic3C2×D511yescharacteristic, complemented
220#908—54no—
221#908—54no—
222#908—102no—
223#908—102no—
224C2×D24—101no—
225C2×D24—101no—
226C2×#204—101no—
227C2×#204—101no—
228C3×#100—54no—
229#825—54no—
230#825C2×D514yescomplemented
231C23×D5—62no—
232C23×D5—61no—
233C23×D5D1212yes—
234C5×#41—32no—
235C5×#41—32no—
236C5×#41—61no—
237C5×#41—61no—
238C2×C5×Q8—31no—
239C2×C5×D4—31no—
240C2×C5×D4—61no—
241C22×C4×C5—61no—
242C22×C4×C5—61no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—62no—
245C2×C22⋊D5—61no—
246#713—64no—
247#713—64no—
248D4×D5—64no—
249D4×D5—64no—
250D4×D5—68no—
251D4×D5—68no—
252#709—32no—
253#709—32no—
254#709—64no—
255#709—64no—
256#709—61no—
257#709—61no—
258C2×D20—21no—
259C2×D20—21no—
260C2×D20—21no—
261C2×D20—21no—
262C2×D20—31no—
263C2×D20—32no—
264C2×D20—64no—
265C2×D20—64no—
266C2×D20—62no—
267C2×D20—61no—
268C2×D20—61no—
269C2×D20—61no—
270C2×D20—61no—
271C2×D20—68no—
272C2×D20—61no—
273C2×D20—128no—
274C2×D20D1212yes—
275C2×D20C22×D312yes—
276C2×C4×D5—62no—
277C2×C4×D5—61no—
278C2×Dic10—31no—
279C5×M16—21no—
280C5×M16C22×D312yescomplemented
281C2×C5×C8—21no—
282C42×C5—32no—
283C42×C5—61no—
284#688—64no—
285#686—64no—
286#681—21no—
287#681C22×D312yescomplemented
288C2×#168—21no—
289D40—64no—
290#677—64no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—151no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—151no—
295#453—158no—
296C2×#104—31no—
297C2×#104—151no—
298C2×#100—51no—
299C22×C3×C5—22no—
300C22×C3×C5#12011yescharacteristic
301C22×C3×C5#12011yescharacteristic
302C22×C3×C5C22×D411yescharacteristic
303C2×D15—22no—
304C2×D15—42no—
305C2×D15—44no—
306C2×D15—42no—
307C2×D15—82no—
308C2×D15—82no—
309C2×C5×D3—22no—
310C2×C5×D3—42no—
311C2×C3×D5—24no—
312C2×C3×D5—44no—
313C2×C3×D5—44no—
314C2×C3×D5—82no—
315D3×D5—88no—
316C3×C4×C5#12011yescharacteristic
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5C22×D411yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320Dic15—22no—
321C5×Dic3—24no—
322C5×Dic3—22no—
323C24×C3—52no—
324C23×D3—102no—
325C23×D3—101no—
326C2×C3×D4—52no—
327C2×C3×D4—52no—
328C2×C3×D4—101no—
329C2×C3×D4—101no—
330C2×C3×D4—101no—
331C2×C3×D4—101no—
332C22×C3×C4C22×D511yescharacteristic
333C2×#67—21no—
334C2×#67—102no—
335C2×#67—108no—
336C2×#67—108no—
337C2×#67—108no—
338C2×#67—102no—
339C2×#67—101no—
340C2×#67—208no—
341C22×Dic3—21no—
342C22×Dic3—102no—
343#237—104no—
344#237—104no—
345#237—104no—
346#237—104no—
347D3×D4—104no—
348D3×D4—104no—
349D3×D4—104no—
350D3×D4—104no—
351#235—21no—
352#235—21no—
353#235—52no—
354#235—52no—
355#235—101no—
356#235—101no—
357#235D2012yescomplemented
358#235C22×D512yes—
359C2×D12—51no—
360C2×D12—52no—
361C2×D12—101no—
362C2×D12—101no—
363C2×D12—101no—
364C2×D12—101no—
365C2×D12—101no—
366C2×D12D2011yescharacteristic, complemented
367C2×C4×D3—21no—
368C2×C4×D3—101no—
369C2×Dic6—51no—
370C2×Dic6D2011yescharacteristic, complemented
371C3×M16—21no—
372C3×M16—52no—
373C3×M16—101no—
374C3×M16C22×D512yescomplemented
375C2×C3×C8—21no—
376C2×C3×C8—101no—
377C4×Dic3—21no—
378C4×Dic3C22×D512yescomplemented
379D24—104no—
380D24—104no—
381#204—104no—
382#204—104no—
383C23×C5—61no—
384C23×C5C2×D1211yescharacteristic
385C22×D5—22no—
386C22×D5—22no—
387C22×D5—44no—
388C22×D5—68no—
389C22×D5—61no—
390C22×D5—62no—
391C22×D5—124no—
392C22×D5—121no—
393C22×D5—121no—
394C22×D5—244no—
395C22×D5C2×D1214yes—
396C5×Q8—32no—
397C5×Q8—61no—
398C5×D4—32no—
399C5×D4—62no—
400C5×D4—62no—
401C5×D4—61no—
402C2×C4×C5—64no—
403C2×C4×C5—61no—
404C2×C4×C5—62no—
405C2×C4×C5—62no—
406C2×C4×C5—62no—
407C2×C4×C5C2×D1211yescharacteristic
408C2×C4×C5D3×D411yescharacteristic
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5D3×D411yescharacteristic
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5C23×D311yescharacteristic
413C22⋊D5—68no—
414C22⋊D5—62no—
415C22⋊D5—62no—
416C2×Dic5—61no—
417D20—22no—
418D20—22no—
419D20—22no—
420D20—22no—
421D20—32no—
422D20—68no—
423D20—61no—
424D20—62no—
425D20—62no—
426D20—1216no—
427D20—121no—
428D20—121no—
429C4×D5—68no—
430C4×D5—62no—
431C4×D5—62no—
432Dic10—32no—
433Dic10—61no—
434C5×C8—22no—
435#168—22no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—31no—
441C2×#41—151no—
442C2×#41—301no—
443C2×#41—301no—
444C22×D4—51no—
445C22×D4—151no—
446C22×D4—301no—
447C22×D4—302no—
448C22×D4—301no—
449C22×D4—302no—
450AGL(1,ℤ/8)—154no—
451AGL(1,ℤ/8)—154no—
452AGL(1,ℤ/8)—302no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—301no—
455C2×SD16—301no—
456C2×D8—301no—
457C2×D8—301no—
458C2×M16—51no—
459C2×M16D3×D511yescharacteristic, complemented
460#127—154no—
461#127—302no—
462C2×C42—31no—
463#104—34no—
464#104—154no—
465#100—54no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5#45312yescomplemented
469C2×C3×C5C2×#12011yescharacteristic
470D15—42no—
471D15—82no—
472C3×D5—44no—
473C5×D3—42no—
474C23×C3—54no—
475C23×C3—102no—
476C23×C3—102no—
477C23×C3—204no—
478C23×C3D4×D511yescharacteristic
479C22×D3—21no—
480C22×D3—108no—
481C22×D3—101no—
482C22×D3—102no—
483C22×D3—204no—
484C22×D3—201no—
485C22×D3—201no—
486C22×D3—404no—
487C3×D4—102no—
488C3×D4—102no—
489C3×D4—102no—
490C3×D4—102no—
491C2×C3×C4C2×D2011yescharacteristic
492C2×C3×C4C2×D2011yescharacteristic
493C2×C3×C4D4×D511yescharacteristic
494C2×C3×C4D4×D511yescharacteristic
495C2×C3×C4D4×D511yescharacteristic
496C2×C3×C4C23×D511yescharacteristic
497#67—22no—
498#67—22no—
499#67—108no—
500#67—108no—
501#67—102no—
502#67—102no—
503#67—2016no—
504C2×Dic3—24no—
505C2×Dic3—22no—
506C2×Dic3—21no—
507C2×Dic3—108no—
508C2×Dic3—101no—
509D12—21no—
510D12—52no—
511D12—102no—
512D12—102no—
513D12—101no—
514D12—201no—
515D12—201no—
516D12C2×D2012yescomplemented
517C4×D3—22no—
518C4×D3—22no—
519C4×D3—102no—
520C4×D3—102no—
521Dic6—21no—
522Dic6—52no—
523Dic6—101no—
524Dic6C2×D2012yescomplemented
525C3×C8—22no—
526C3×C8—102no—
527C22×C5—22no—
528C22×C5—62no—
529C22×C5—122no—
530C22×C5#88211yescharacteristic
531C22×C5#88211yescharacteristic
532C22×C5C22×D1211yescharacteristic
533C2×D5—24no—
534C2×D5—44no—
535C2×D5—44no—
536C2×D5—62no—
537C2×D5—82no—
538C2×D5—122no—
539C2×D5—124no—
540C2×D5—122no—
541C2×D5—248no—
542C2×D5—242no—
543C2×D5—242no—
544C4×C5—64no—
545C4×C5—62no—
546C4×C5#88211yescharacteristic
547C4×C5#88211yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549C4×C5C2×D3×D411yescharacteristic
550Dic5—62no—
551C24—52no—
552C24—302no—
553C24—301no—
554#41—32no—
555#41—32no—
556#41—61no—
557#41—61no—
558#41—152no—
559#41—152no—
560#41—304no—
561#41—304no—
562#41—304no—
563#41—304no—
564#41—301no—
565#41—301no—
566C2×Q8—31no—
567C2×Q8—151no—
568C2×D4—31no—
569C2×D4—52no—
570C2×D4—52no—
571C2×D4—61no—
572C2×D4—101no—
573C2×D4—101no—
574C2×D4—101no—
575C2×D4—101no—
576C2×D4—151no—
577C2×D4—152no—
578C2×D4—304no—
579C2×D4—304no—
580C2×D4—302no—
581C2×D4—308no—
582C2×D4—304no—
583C2×D4—304no—
584C2×D4—308no—
585C2×D4—308no—
586C2×D4—302no—
587C2×D4—301no—
588C2×D4—301no—
589C2×D4—301no—
590C2×D4—301no—
591C2×D4—301no—
592C2×D4—301no—
593C2×D4—608no—
594C22×C4—61no—
595C22×C4—61no—
596C22×C4—302no—
597C22×C4—301no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—304no—
600SD16—304no—
601D8—304no—
602D8—304no—
603M16—21no—
604M16—52no—
605M16—101no—
606M16C2×D3×D512yescomplemented
607C2×C8—21no—
608C2×C8—101no—
609C42—32no—
610C42—61no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—104no—
614C22×C3—204no—
615C22×C3—204no—
616C22×C3—402no—
617C22×C3#402811yescharacteristic
618C22×C3#402811yescharacteristic
619C22×C3C2×D4×D511yescharacteristic
620C2×D3—22no—
621C2×D3—42no—
622C2×D3—102no—
623C2×D3—202no—
624C2×D3—204no—
625C2×D3—202no—
626C2×D3—408no—
627C2×D3—402no—
628C2×D3—402no—
629C3×C4#402811yescharacteristic
630C3×C4#402811yescharacteristic
631C3×C4C22×D2011yescharacteristic
632C3×C4C2×D4×D511yescharacteristic
633Dic3—24no—
634Dic3—22no—
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—122no—
639C2×C5#474712yescomplemented
640C2×C5C2×#88211yescharacteristic
641D5—44no—
642D5—122no—
643D5—242no—
644C23—54no—
645C23—61no—
646C23—102no—
647C23—102no—
648C23—204no—
649C23—308no—
650C23—301no—
651C23—302no—
652C23—604no—
653C23—601no—
654C23—601no—
655C23—1204no—
656C23D5×D1211yescharacteristic
657Q8—32no—
658Q8—61no—
659Q8—152no—
660Q8—301no—
661D4—32no—
662D4—62no—
663D4—62no—
664D4—61no—
665D4—102no—
666D4—102no—
667D4—102no—
668D4—102no—
669D4—152no—
670D4—308no—
671D4—308no—
672D4—302no—
673D4—302no—
674D4—301no—
675D4—302no—
676D4—302no—
677D4—6016no—
678D4—601no—
679D4—601no—
680C2×C4—64no—
681C2×C4—61no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—308no—
686C2×C4—301no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4D5×D1211yescharacteristic
690C2×C4D3×D2011yescharacteristic
691C2×C4D3×D2011yescharacteristic
692C2×C4#679011yescharacteristic
693C2×C4#679011yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—22no—
696C8—102no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—204no—
700C2×C3#6511112yescomplemented
701C2×C3C2×#402811yescharacteristic
702D3—42no—
703D3—202no—
704D3—402no—
705C5C2×#474711yescharacteristic, complemented, Sylow
706C22—22no—
707C22—62no—
708C22—104no—
709C22—122no—
710C22—204no—
711C22—204no—
712C22—302no—
713C22—402no—
714C22—604no—
715C22—602no—
716C22—602no—
717C22—1202no—
718C22—1208no—
719C22—1202no—
720C22#9147611yescharacteristic
721C22#9147611yescharacteristic
722C22C2×D5×D1211yescharacteristic
723C4—64no—
724C4—62no—
725C4—302no—
726C4#9147611yescharacteristic
727C4#9147611yescharacteristic
728C4C2×D3×D2011yescharacteristic
729C4C2×#679011yescharacteristic
730C3C2×#6511111yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—122no—
734C2—204no—
735C2—602no—
736C2—1202no—
737C2#1174824812yesdirect product factor
738C2C2×#9147611yescharacteristic
subgroupG/H
centerC22#91476
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC22×C3×C5#120
hypercenterC2×M16D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×#92017C2semidirect
2. C2×#91797C2semidirect
3. C2×#91458C2semidirect
4. C2×#91305C2semidirect
5. C2×C5×#825C2semidirect
6. C2×C3×#3955C2semidirect
7. C2×#90980C2semidirect
8. #11748248C2direct (N × H)
11. C22×D60C22semidirect
19. #92017C22semidirect
24. C2×C3×C5×M16C22semidirect
26. #91797C22semidirect
29. C2×C4×C5×Dic3C22semidirect
30. C2×C3×#681C22semidirect
32. #91458C22semidirect
35. #91305C22semidirect
37. C5×#825C22semidirect
38. C3×#3955C22semidirect
39. #90980C22semidirect
46. C2×#3955D3semidirect
56. #6817D4semidirect
63. C2×D60D4semidirect
64. C2×D60C23semidirect
66. C2×Dic30D4semidirect
71. C5×#235D4semidirect
73. C2×C5×D12D4semidirect
75. C2×C5×Dic6D4semidirect
98. C3×C5×M16C23semidirect
103. C4×C5×Dic3C23semidirect
105. C3×#681C23semidirect
115. C2×#825D5semidirect
131. C2×C5×M16C2×D3semidirect
137. C2×#681C2×D3semidirect
145. #3955C2×D3semidirect
175. D60C2×D4semidirect
179. Dic30C2×D4semidirect
186. C5×D12C2×D4semidirect
190. C5×Dic6C2×D4semidirect
216. C2×C3×M16C2×D5semidirect
219. C2×C4×Dic3C2×D5semidirect
230. #825C2×D5semidirect
280. C5×M16C22×D3semidirect
287. #681C22×D3semidirect
357. #235D20semidirect
366. C2×D12D20semidirect
370. C2×Dic6D20semidirect
374. C3×M16C22×D5semidirect
378. C4×Dic3C22×D5semidirect
459. C2×M16D3×D5semidirect
468. C2×C3×C5#453semidirect
516. D12C2×D20semidirect
524. Dic6C2×D20semidirect
606. M16C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
639. C2×C5#4747semidirect
700. C2×C3#65111semidirect
705. C5C2×#4747semidirect
730. C3C2×#65111semidirect
737. C2#11748248direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#920172
C2×#917972
C2×#914582
C2×#913052
C2×C5×#8252
C2×C3×#39552
C2×#909802
#117482482
C2×#651113
C2×#47475