Finite Group Databasebeta

← C2×#11747116 #14425010

Subgroups — C2×#11747116 #14425010

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×#92018C211yesmaximal, characteristic, complemented
2C2×C5×#874C211yesmaximal, characteristic, complemented
3C2×#91304C211yesmaximal, characteristic, complemented
4C2×#91299C211yesmaximal, characteristic, complemented
5C2×#91089C211yesmaximal, characteristic, complemented
6C2×C3×#3937C211yesmaximal, characteristic, complemented
7C2×#90959C211yesmaximal, characteristic, complemented
8#11747116C218yesmaximal, direct product factor
9C2×#65366—31nomaximal, Hall
10C2×#6817C2211yescharacteristic
11C22×C5×D12—22no—
12C22×C5×D12C2211yescharacteristic
13C22×C5×D12C2211yescharacteristic, complemented
14C2×C3×#709C2211yescharacteristic
15C2×D3×C22⋊D5—22no—
16#92018—22no—
17#92018—22no—
18#92018—22no—
19#92018C2214yescomplemented
20C2×#6777—21no—
21C2×D5×D12—21no—
22C2×#6772—21no—
23C2×#6768—21no—
24C2×C3×C42×C5C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C5×#874—22no—
27C5×#874C2214yescomplemented
28C2×C3×#681C2211yescharacteristic, complemented
29C2×#6659—21no—
30C2×#6656—21no—
31#91304—22no—
32#91304C2214yescomplemented
33C2×#6654—21no—
34#91299—22no—
35#91299C2214yescomplemented
36C2×#6652—21no—
37#91089C2214yescomplemented
38C3×#3937C2214yescomplemented
39#90959C2214yescomplemented
40C2×#4822—51nomaximal, Hall
41C2×#4144—31no—
42C2×C5×#127—31no—
43C2×#4078—31no—
44C2×#4078—31no—
45C2×#3965—31no—
46#65366—38no—
47C2×#3937—31no—
48C2×#3937D311yescharacteristic, complemented
49C23×C5×D3—21no—
50C23×C5×D3D412yes—
51C22×D3×D5—22no—
52C22×C3×C4×C5—21no—
53C22×C3×C4×C5C2311yescharacteristic
54C2×#1220—21no—
55#6817—21no—
56#6817—21no—
57#6817D412yescomplemented
58#6817C2312yes—
59C2×D60D411yescharacteristic, complemented
60C2×C4×D15—21no—
61C2×Dic30D411yescharacteristic, complemented
62C2×C5×D12—21no—
63C2×C5×D12—21no—
64C2×C5×D12—21no—
65C2×C5×D12—21no—
66C2×C5×D12—21no—
67C2×C5×D12—21no—
68C2×C5×D12—21no—
69C2×C5×D12—21no—
70C2×C5×D12—28no—
71C2×C5×D12—21no—
72C2×C5×D12—48no—
73C2×C5×D12D412yes—
74C2×C5×D12C2312yes—
75C2×C5×D12C2312yescomplemented
76C2×C3×C22⋊D5—21no—
77C3×#709—21no—
78C3×#709—21no—
79C3×#709D412yescomplemented
80C3×#709C2312yes—
81C2×C3×D20D411yescharacteristic, complemented
82C2×C3×C4×D5—21no—
83C2×C3×Dic10D411yescharacteristic, complemented
84D3×C22⋊D5—28no—
85D3×C22⋊D5—28no—
86C2×#1203—22no—
87C2×#1201—22no—
88C2×D3×Dic5—22no—
89#6777—24no—
90#6777—24no—
91D5×D12—24no—
92D5×D12—24no—
93#6772—24no—
94#6772—24no—
95#6768—24no—
96#6768—24no—
97C3×C42×C5—21no—
98C3×C42×C5C2312yescomplemented
99#6710—21no—
100#6710C2312yescomplemented
101C2×C3⋊#168—21no—
102C3×#681—21no—
103C3×#681C2312yescomplemented
104C2×C3×#168—21no—
105#6659—24no—
106#6656—24no—
107#6654—24no—
108#6652—24no—
109C2×#1009—51no—
110C2×#949—51no—
111C2×#908—51no—
112C2×#874D511yescharacteristic, complemented
113C2×C3×#104—51no—
114C2×#823—51no—
115C2×#805—51no—
116#4822—58no—
117C22×C5×D4—31no—
118C22×C5×D4—31no—
119C22×C5×D4—62no—
120C22×C22⋊D5—62no—
121#4144—34no—
122#4144—62no—
123#4144—62no—
124#4144—62no—
125C2×#711—61no—
126C2×#711—61no—
127C2×D4×D5—61no—
128C2×D4×D5—61no—
129C2×#709—31no—
130C2×#709C2×D311yescharacteristic
131C5×#127—34no—
132C5×#127—62no—
133C2×C42×C5C2×D311yescharacteristic, complemented
134C2×#687—61no—
135C2×#687—61no—
136#4078—34no—
137#4078—34no—
138#4078—62no—
139#4078—62no—
140C2×#686—61no—
141C2×#686—61no—
142C2×#681—31no—
143C2×#681C2×D311yescharacteristic, complemented
144#3965—34no—
145#3937—34no—
146#3937C2×D314yescomplemented
147C2×#453—151noSylow
148C23×C3×C5C2×D411yescharacteristic
149C22×D15—21no—
150C22×C5×D3—22no—
151C22×C5×D3—22no—
152C22×C5×D3—22no—
153C22×C5×D3—44no—
154C22×C5×D3—44no—
155C22×C5×D3—41no—
156C22×C5×D3—41no—
157C22×C5×D3C2×D414yes—
158C22×C3×D5—21no—
159C2×D3×D5—28no—
160C2×D3×D5—84no—
161C2×C3×C4×C5—24no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2411yescharacteristic
169#1220—22no—
170#1220—22no—
171C2×Dic15—21no—
172D60—21no—
173D60C2×D412yescomplemented
174C4×D15—22no—
175C4×D15—22no—
176Dic30—21no—
177Dic30C2×D412yescomplemented
178C5×D12—22no—
179C5×D12—22no—
180C5×D12—22no—
181C5×D12—22no—
182C5×D12—22no—
183C5×D12—22no—
184C5×D12—416no—
185C5×D12—41no—
186C5×D12—41no—
187C3×C22⋊D5—22no—
188C3×C22⋊D5—22no—
189C2×C3×Dic5—21no—
190C3×D20—21no—
191C3×D20C2×D412yescomplemented
192C3×C4×D5—22no—
193C3×C4×D5—22no—
194C3×Dic10—21no—
195C3×Dic10C2×D412yescomplemented
196#1203—28no—
197#1201—28no—
198D3×Dic5—28no—
199C3⋊#168—22no—
200C3×#168—22no—
201C2×C3×#41—51no—
202#1009—54no—
203#1009—102no—
204#1009—102no—
205#1009—102no—
206C2×#239—101no—
207C2×D3×D4—101no—
208C2×D3×D4—102no—
209C2×#235—51no—
210C2×#235—101no—
211C22×D12—22no—
212C22×D12—101no—
213C22×D12C2×D511yescharacteristic
214C22×D12C2×D511yescharacteristic, complemented
215C2×C3×M16—51no—
216C2×C3×C42C2×D511yescharacteristic, complemented
217#949—54no—
218#949—102no—
219C2×#215—101no—
220C2×#213—101no—
221C2×#208—51no—
222#908—54no—
223#908—102no—
224C2×D24—101no—
225C2×#204—101no—
226#874—22no—
227#874C2×D514yescomplemented
228C3×#104—54no—
229#823—54no—
230#805—54no—
231C24×C5—32no—
232C24×C5—61no—
233C23×D5—62no—
234C2×C5×D4—32no—
235C2×C5×D4—32no—
236C2×C5×D4—32no—
237C2×C5×D4—68no—
238C2×C5×D4—61no—
239C2×C5×D4—61no—
240C2×C5×D4—61no—
241C2×C5×D4—61no—
242C2×C5×D4—61no—
243C2×C5×D4—61no—
244C2×C5×D4—61no—
245C2×C5×D4—61no—
246C2×C5×D4—61no—
247C2×C5×D4—128no—
248C22×C4×C5—21no—
249C22×C4×C5C22×D311yescharacteristic
250C2×C22⋊D5—21no—
251C2×C22⋊D5—62no—
252C2×C22⋊D5—68no—
253C2×C22⋊D5—68no—
254C2×C22⋊D5—62no—
255C2×C22⋊D5—61no—
256C22×Dic5—62no—
257#711—64no—
258#711—64no—
259#711—64no—
260#711—64no—
261D4×D5—64no—
262D4×D5—64no—
263D4×D5—64no—
264D4×D5—64no—
265#709—21no—
266#709—21no—
267#709—32no—
268#709—32no—
269#709—61no—
270#709—61no—
271#709D1212yescomplemented
272#709C22×D312yes—
273C2×D20—31no—
274C2×D20D1211yescharacteristic, complemented
275C2×C4×D5—21no—
276C2×C4×D5—61no—
277C2×Dic10—31no—
278C2×Dic10D1211yescharacteristic, complemented
279C42×C5—21no—
280C42×C5C22×D312yescomplemented
281#687—64no—
282#687—64no—
283#686—64no—
284#686—64no—
285#681—21no—
286#681—32no—
287#681—61no—
288#681C22×D312yescomplemented
289C2×#168—21no—
290C2×#168—61no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—151no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—31no—
295#453—158no—
296C2×#104—51no—
297C2×#104—151no—
298C2×#100—151no—
299C22×C3×C5—22no—
300C22×C3×C5#12011yescharacteristic
301C22×C3×C5#12011yescharacteristic
302C22×C3×C5C22×D411yescharacteristic
303C2×D15—22no—
304C2×D15—42no—
305C2×C5×D3—24no—
306C2×C5×D3—44no—
307C2×C5×D3—44no—
308C2×C5×D3—44no—
309C2×C5×D3—42no—
310C2×C5×D3—82no—
311C2×C5×D3—82no—
312C2×C5×D3—82no—
313C2×C3×D5—22no—
314C2×C3×D5—42no—
315D3×D5—88no—
316C3×C4×C5—24no—
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5#12011yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—22no—
322C3×Dic5—22no—
323C23×D3—21no—
324C23×D3—102no—
325C23×D3C22⋊D512yes—
326C3×#41—52no—
327C3×#41—52no—
328C3×#41—101no—
329C3×#41—101no—
330C2×C3×Q8—51no—
331C2×C3×D4—51no—
332C2×C3×D4—101no—
333C22×C3×C4—21no—
334C22×C3×C4—101no—
335C22×C3×C4C22×D511yescharacteristic
336C2×#67—102no—
337C2×#67—101no—
338#239—104no—
339#239—104no—
340D3×D4—104no—
341D3×D4—104no—
342D3×D4—108no—
343D3×D4—108no—
344#235—52no—
345#235—52no—
346#235—104no—
347#235—104no—
348#235—101no—
349#235—101no—
350C2×D12—21no—
351C2×D12—21no—
352C2×D12—21no—
353C2×D12—21no—
354C2×D12—21no—
355C2×D12—21no—
356C2×D12—21no—
357C2×D12—21no—
358C2×D12—28no—
359C2×D12—21no—
360C2×D12—48no—
361C2×D12—51no—
362C2×D12—104no—
363C2×D12—104no—
364C2×D12—102no—
365C2×D12C22⋊D512yes—
366C2×D12C22×D512yes—
367C2×D12C22×D512yescomplemented
368C2×C4×D3—102no—
369C2×C4×D3—101no—
370C2×Dic6—51no—
371C3×M16—52no—
372C3×M16—101no—
373C2×C3×C8—101no—
374C3×C42—21no—
375C3×C42C22×D512yescomplemented
376#215—104no—
377#213—104no—
378#208—52no—
379#208—101no—
380C2×C3⋊C8—101no—
381D24—104no—
382#204—104no—
383C23×C5—34no—
384C23×C5—62no—
385C23×C5—62no—
386C23×C5—62no—
387C23×C5—124no—
388C23×C5—124no—
389C23×C5—121no—
390C23×C5—121no—
391C23×C5D3×D411yescharacteristic
392C22×D5—21no—
393C22×D5—68no—
394C22×D5—61no—
395C22×D5—244no—
396C5×D4—62no—
397C5×D4—62no—
398C5×D4—62no—
399C5×D4—62no—
400C5×D4—62no—
401C5×D4—62no—
402C5×D4—1216no—
403C5×D4—121no—
404C5×D4—121no—
405C2×C4×C5—24no—
406C2×C4×C5—22no—
407C2×C4×C5C2×D1211yescharacteristic
408C2×C4×C5C2×D1211yescharacteristic
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5D3×D411yescharacteristic
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5C23×D311yescharacteristic
413C22⋊D5—22no—
414C22⋊D5—22no—
415C22⋊D5—68no—
416C22⋊D5—68no—
417C22⋊D5—62no—
418C22⋊D5—62no—
419C2×Dic5—21no—
420C2×Dic5—68no—
421C2×Dic5—61no—
422D20—21no—
423D20—32no—
424D20—61no—
425D20C2×D1212yescomplemented
426C4×D5—22no—
427C4×D5—22no—
428C4×D5—62no—
429C4×D5—62no—
430Dic10—21no—
431Dic10—32no—
432Dic10—61no—
433Dic10C2×D1212yescomplemented
434#168—22no—
435#168—62no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—51no—
441C2×#41—151no—
442C2×#41—301no—
443C2×#41—301no—
444C22×D4—31no—
445C22×D4—31no—
446C22×D4—62no—
447C22×D4—301no—
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×M16—151no—
460#127—34no—
461#127—62no—
462C2×C42D3×D511yescharacteristic, complemented
463#104—54no—
464#104—154no—
465#100—154no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5#45312yescomplemented
469C2×C3×C5C2×#12011yescharacteristic
470D15—42no—
471C3×D5—42no—
472C5×D3—44no—
473C5×D3—82no—
474C23×C3—101no—
475C23×C3C2×C22⋊D511yescharacteristic
476C22×D3—22no—
477C22×D3—22no—
478C22×D3—22no—
479C22×D3—44no—
480C22×D3—44no—
481C22×D3—41no—
482C22×D3—41no—
483C22×D3—108no—
484C22×D3—101no—
485C22×D3—404no—
486C22×D3C2×C22⋊D514yes—
487C3×Q8—52no—
488C3×Q8—101no—
489C3×D4—52no—
490C3×D4—102no—
491C3×D4—102no—
492C3×D4—101no—
493C2×C3×C4—24no—
494C2×C3×C4—22no—
495C2×C3×C4—101no—
496C2×C3×C4—102no—
497C2×C3×C4—102no—
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4D4×D511yescharacteristic
501C2×C3×C4D4×D511yescharacteristic
502C2×C3×C4C2×C22⋊D511yescharacteristic
503C2×C3×C4C23×D511yescharacteristic
504#67—108no—
505#67—102no—
506#67—102no—
507C2×Dic3—101no—
508D12—22no—
509D12—22no—
510D12—22no—
511D12—22no—
512D12—22no—
513D12—22no—
514D12—416no—
515D12—41no—
516D12—41no—
517D12—52no—
518D12—108no—
519D12—101no—
520C4×D3—108no—
521C4×D3—102no—
522C4×D3—102no—
523Dic6—52no—
524Dic6—101no—
525C3×C8—102no—
526C3⋊C8—102no—
527C22×C5—22no—
528C22×C5—64no—
529C22×C5—124no—
530C22×C5—124no—
531C22×C5—124no—
532C22×C5—122no—
533C22×C5—242no—
534C22×C5—242no—
535C22×C5—242no—
536C22×C5#88211yescharacteristic
537C22×C5#88211yescharacteristic
538C22×C5C2×D3×D411yescharacteristic
539C2×D5—22no—
540C2×D5—42no—
541C2×D5—62no—
542C2×D5—122no—
543C2×D5—248no—
544C4×C5—24no—
545C4×C5#88211yescharacteristic
546C4×C5#88211yescharacteristic
547C4×C5C22×D1211yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549Dic5—22no—
550Dic5—62no—
551C24—32no—
552C24—61no—
553C24—302no—
554#41—52no—
555#41—52no—
556#41—101no—
557#41—101no—
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—51no—
567C2×Q8—151no—
568C2×D4—32no—
569C2×D4—32no—
570C2×D4—32no—
571C2×D4—51no—
572C2×D4—68no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—61no—
578C2×D4—61no—
579C2×D4—61no—
580C2×D4—61no—
581C2×D4—61no—
582C2×D4—101no—
583C2×D4—128no—
584C2×D4—151no—
585C2×D4—304no—
586C2×D4—304no—
587C2×D4—302no—
588C2×D4—304no—
589C2×D4—304no—
590C2×D4—308no—
591C2×D4—308no—
592C2×D4—302no—
593C2×D4—301no—
594C22×C4—21no—
595C22×C4—101no—
596C22×C4—302no—
597C22×C4—301no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—304no—
600SD16—304no—
601D8—304no—
602D8—304no—
603M16—52no—
604M16—101no—
605M16—152no—
606M16—301no—
607C2×C8—101no—
608C2×C8—301no—
609C42—21no—
610C42C2×D3×D512yescomplemented
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—102no—
614C22×C3—202no—
615C22×C3#408311yescharacteristic
616C22×C3#408311yescharacteristic
617C22×C3C22×C22⋊D511yescharacteristic
618C2×D3—24no—
619C2×D3—44no—
620C2×D3—44no—
621C2×D3—44no—
622C2×D3—42no—
623C2×D3—82no—
624C2×D3—82no—
625C2×D3—82no—
626C2×D3—102no—
627C2×D3—202no—
628C2×D3—408no—
629C3×C4—24no—
630C3×C4—102no—
631C3×C4#408311yescharacteristic
632C3×C4#408311yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634C3×C4C2×D4×D511yescharacteristic
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—124no—
639C2×C5—242no—
640C2×C5#482212yescomplemented
641C2×C5C2×#88211yescharacteristic
642D5—42no—
643D5—122no—
644C23—34no—
645C23—62no—
646C23—62no—
647C23—62no—
648C23—101no—
649C23—124no—
650C23—124no—
651C23—121no—
652C23—121no—
653C23—308no—
654C23—301no—
655C23—1204no—
656C23D3×C22⋊D511yescharacteristic
657Q8—52no—
658Q8—101no—
659Q8—152no—
660Q8—301no—
661D4—52no—
662D4—62no—
663D4—62no—
664D4—62no—
665D4—62no—
666D4—62no—
667D4—62no—
668D4—102no—
669D4—102no—
670D4—101no—
671D4—1216no—
672D4—121no—
673D4—121no—
674D4—152no—
675D4—308no—
676D4—308no—
677D4—302no—
678D4—302no—
679D4—301no—
680C2×C4—24no—
681C2×C4—22no—
682C2×C4—101no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—308no—
686C2×C4—301no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4D5×D1211yescharacteristic
690C2×C4D5×D1211yescharacteristic
691C2×C4#677711yescharacteristic
692C2×C4#677711yescharacteristic
693C2×C4D3×C22⋊D511yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—102no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—202no—
700C2×C3#6536612yescomplemented
701C2×C3C2×#408311yescharacteristic
702D3—44no—
703D3—82no—
704D3—202no—
705C5C2×#482211yescharacteristic, complemented, Sylow
706C22—22no—
707C22—64no—
708C22—102no—
709C22—124no—
710C22—124no—
711C22—124no—
712C22—122no—
713C22—202no—
714C22—242no—
715C22—242no—
716C22—242no—
717C22—302no—
718C22—602no—
719C22—1208no—
720C22#9147511yescharacteristic
721C22#9147511yescharacteristic
722C22C2×D3×C22⋊D511yescharacteristic
723C4—24no—
724C4—102no—
725C4—302no—
726C4#9147511yescharacteristic
727C4#9147511yescharacteristic
728C4C2×D5×D1211yescharacteristic
729C4C2×#677711yescharacteristic
730C3C2×#6536611yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—124no—
734C2—202no—
735C2—242no—
736C2—602no—
737C2#1174711612yesdirect product factor
738C2C2×#9147511yescharacteristic
subgroupG/H
centerC22#91475
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C42×C5C22
socleC22×C3×C5#120
hypercenterC2×C42D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×#92018C2semidirect
2. C2×C5×#874C2semidirect
3. C2×#91304C2semidirect
4. C2×#91299C2semidirect
5. C2×#91089C2semidirect
6. C2×C3×#3937C2semidirect
7. C2×#90959C2semidirect
8. #11747116C2direct (N × H)
13. C22×C5×D12C22semidirect
19. #92018C22semidirect
24. C2×C3×C42×C5C22semidirect
25. C2×#6710C22semidirect
27. C5×#874C22semidirect
28. C2×C3×#681C22semidirect
32. #91304C22semidirect
35. #91299C22semidirect
37. #91089C22semidirect
38. C3×#3937C22semidirect
39. #90959C22semidirect
48. C2×#3937D3semidirect
57. #6817D4semidirect
59. C2×D60D4semidirect
61. C2×Dic30D4semidirect
75. C2×C5×D12C23semidirect
79. C3×#709D4semidirect
81. C2×C3×D20D4semidirect
83. C2×C3×Dic10D4semidirect
98. C3×C42×C5C23semidirect
100. #6710C23semidirect
103. C3×#681C23semidirect
112. C2×#874D5semidirect
133. C2×C42×C5C2×D3semidirect
143. C2×#681C2×D3semidirect
146. #3937C2×D3semidirect
173. D60C2×D4semidirect
177. Dic30C2×D4semidirect
191. C3×D20C2×D4semidirect
195. C3×Dic10C2×D4semidirect
214. C22×D12C2×D5semidirect
216. C2×C3×C42C2×D5semidirect
227. #874C2×D5semidirect
271. #709D12semidirect
274. C2×D20D12semidirect
278. C2×Dic10D12semidirect
280. C42×C5C22×D3semidirect
288. #681C22×D3semidirect
367. C2×D12C22×D5semidirect
375. C3×C42C22×D5semidirect
425. D20C2×D12semidirect
433. Dic10C2×D12semidirect
462. C2×C42D3×D5semidirect
468. C2×C3×C5#453semidirect
610. C42C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
640. C2×C5#4822semidirect
700. C2×C3#65366semidirect
705. C5C2×#4822semidirect
730. C3C2×#65366semidirect
737. C2#11747116direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#920182
C2×C5×#8742
C2×#913042
C2×#912992
C2×#910892
C2×C3×#39372
C2×#909592
#117471162
C2×#653663
C2×#48225