Finite Group Databasebeta

← C2×#11748247 #14425003

Subgroups — C2×#11748247 #14425003

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×#92019C211yesmaximal, characteristic, complemented
2C2×C5×#908C211yesmaximal, characteristic, complemented
3C2×#91451C211yesmaximal, characteristic, complemented
4C2×#91299C211yesmaximal, characteristic, complemented
5C2×#91107C211yesmaximal, characteristic, complemented
6C2×C3×#3957C211yesmaximal, characteristic, complemented
7C2×#90979C211yesmaximal, characteristic, complemented
8#11748247C218yesmaximal, direct product factor
9C2×#65487—31nomaximal, Hall
10C22×D60C2211yescharacteristic
11C2×C5×#235C2211yescharacteristic
12C22×C5×D12C2211yescharacteristic, complemented
13C2×C3×#709C2211yescharacteristic
14C2×#6790—22no—
15C22×#1203—22no—
16#92019—22no—
17#92019—22no—
18#92019—22no—
19#92019C2214yescomplemented
20C2×D3×D20—21no—
21C2×D5×D12—21no—
22C2×#6773—21no—
23C2×#6769—21no—
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C5×#908—22no—
27C5×#908C2214yescomplemented
28C2×C5×D24—21no—
29C2×C5×#204—21no—
30C2×C3×C4×Dic5C2211yescharacteristic, complemented
31#91451—22no—
32#91451C2214yescomplemented
33C2×#6656—21no—
34#91299—22no—
35#91299C2214yescomplemented
36C2×#6652—21no—
37#91107C2214yescomplemented
38C3×#3957C2214yescomplemented
39#90979C2214yescomplemented
40C2×#4822—51nomaximal, Hall
41C2×#4149—31no—
42C2×C5×AGL(1,ℤ/8)—31no—
43C2×#4086—31no—
44C2×#4078—31no—
45C2×#3969—31no—
46#65487—38no—
47C2×#3957D311yescharacteristic, complemented
48C2×#3955—31no—
49C23×D15D412yes—
50C23×C5×D3—21no—
51C22×D3×D5—22no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×D60—21no—
54C2×D60—21no—
55C2×D60—21no—
56C2×D60—21no—
57C2×D60D412yes—
58C2×D60C2312yes—
59C2×C5×#67—21no—
60C5×#235—21no—
61C5×#235—21no—
62C5×#235D412yescomplemented
63C5×#235C2312yes—
64C2×C5×D12—21no—
65C2×C5×D12—21no—
66C2×C5×D12—21no—
67C2×C5×D12—21no—
68C2×C5×D12—21no—
69C2×C5×D12D411yescharacteristic, complemented
70C2×C5×D12C2312yescomplemented
71C2×C4×C5×D3—21no—
72C2×C5×Dic6D411yescharacteristic, complemented
73C2×C3×C22⋊D5—21no—
74C22×C3×Dic5—21no—
75C3×#709—21no—
76C3×#709—21no—
77C3×#709D412yescomplemented
78C3×#709C2312yes—
79C2×C3×D20D411yescharacteristic, complemented
80C2×C3×C4×D5—21no—
81C2×C3×Dic10D411yescharacteristic, complemented
82#6790—28no—
83#6790—28no—
84C2×#1203—22no—
85C2×#1203—28no—
86C2×#1203—48no—
87C2×#1202—22no—
88C2×#1200—22no—
89D3×D20—24no—
90D3×D20—24no—
91D5×D12—24no—
92D5×D12—24no—
93#6773—24no—
94#6773—24no—
95#6769—24no—
96#6769—24no—
97C3×C5×M16—21no—
98C3×C5×M16C2312yescomplemented
99C2×C3×C5×C8—21no—
100#6710—21no—
101#6710C2312yescomplemented
102C2×C3⋊#168—21no—
103C5×D24—24no—
104C5×#204—24no—
105C3×C4×Dic5—21no—
106C3×C4×Dic5C2312yescomplemented
107#6656—24no—
108#6652—24no—
109C2×#1009—51no—
110C2×#949—51no—
111C2×#908D511yescharacteristic, complemented
112C2×#874—51no—
113C2×C3×#104—51no—
114C2×#823—51no—
115C2×#805—51no—
116#4822—58no—
117C2×C5×#41—31no—
118C22×C5×D4—31no—
119C22×C22⋊D5—62no—
120#4149—34no—
121#4149—62no—
122#4149—62no—
123#4149—62no—
124C2×#713—61no—
125C2×D4×D5—61no—
126C2×D4×D5—62no—
127C2×#709—61no—
128C2×#709C2×D311yescharacteristic
129C22×D20—31no—
130C22×D20—61no—
131C5×AGL(1,ℤ/8)—34no—
132C5×AGL(1,ℤ/8)—62no—
133C2×C5×SD16—61no—
134C2×C5×D8—61no—
135C2×C5×M16C2×D311yescharacteristic, complemented
136#4086—34no—
137#4086—62no—
138C2×#687—61no—
139#4078—34no—
140#4078—62no—
141C2×#686—61no—
142C2×C4×Dic5C2×D311yescharacteristic, complemented
143C2×#681—31no—
144#3969—34no—
145#3957C2×D314yescomplemented
146#3955—34no—
147C2×#453—151noSylow
148C23×C3×C5C2×D411yescharacteristic
149C22×D15—22no—
150C22×D15—22no—
151C22×D15—44no—
152C22×D15C2×D414yes—
153C22×C5×D3—21no—
154C22×C5×D3—22no—
155C22×C5×D3—44no—
156C22×C5×D3—41no—
157C22×C5×D3—41no—
158C22×C3×D5—21no—
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
167D60—22no—
168D60—22no—
169D60—22no—
170D60—22no—
171C5×#67—22no—
172C5×#67—22no—
173C2×C5×Dic3—21no—
174C5×D12—21no—
175C5×D12—22no—
176C5×D12—22no—
177C5×D12—41no—
178C5×D12—41no—
179C5×D12C2×D412yescomplemented
180C4×C5×D3—22no—
181C4×C5×D3—22no—
182C5×Dic6—21no—
183C5×Dic6C2×D412yescomplemented
184C3×C22⋊D5—22no—
185C3×C22⋊D5—22no—
186C2×C3×Dic5—24no—
187C2×C3×Dic5—21no—
188C2×C3×Dic5—22no—
189C3×D20—21no—
190C3×D20C2×D412yescomplemented
191C3×C4×D5—22no—
192C3×C4×D5—22no—
193C3×Dic10—21no—
194C3×Dic10C2×D412yescomplemented
195#1203—28no—
196#1203—416no—
197#1202—28no—
198#1200—28no—
199C3×C5×C8—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—101no—
210C2×#235C2×D511yescharacteristic
211C22×D12—51no—
212C22×D12—101no—
213C22×D12—102no—
214C22×D12C2×D511yescharacteristic, complemented
215C2×C3×M16C2×D511yescharacteristic, complemented
216C2×C3×C42—51no—
217#949—54no—
218#949—102no—
219C2×#215—101no—
220C2×#213—101no—
221C2×#208—51no—
222#908—22no—
223#908C2×D514yescomplemented
224C2×D24—21no—
225C2×#204—21no—
226#874—54no—
227#874—102no—
228C3×#104—54no—
229#823—54no—
230#805—54no—
231C24×C5—61no—
232C23×D5—32no—
233C23×D5—62no—
234C5×#41—32no—
235C5×#41—32no—
236C5×#41—61no—
237C5×#41—61no—
238C2×C5×Q8—31no—
239C2×C5×D4—31no—
240C2×C5×D4—32no—
241C2×C5×D4—61no—
242C2×C5×D4—61no—
243C2×C5×D4—61no—
244C2×C5×D4—61no—
245C2×C5×D4—61no—
246C2×C5×D4—61no—
247C22×C4×C5—61no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—21no—
250C2×C22⋊D5—62no—
251C2×C22⋊D5—68no—
252C2×C22⋊D5—128no—
253C22×Dic5—21no—
254#713—64no—
255#713—64no—
256D4×D5—64no—
257D4×D5—64no—
258D4×D5—68no—
259D4×D5—68no—
260#709—21no—
261#709—21no—
262#709—64no—
263#709—64no—
264#709D1212yescomplemented
265#709C22×D312yes—
266C2×D20—32no—
267C2×D20—32no—
268C2×D20—64no—
269C2×D20—62no—
270C2×D20—61no—
271C2×D20—61no—
272C2×D20—61no—
273C2×D20—61no—
274C2×D20—64no—
275C2×D20D1211yescharacteristic, complemented
276C2×C4×D5—21no—
277C2×C4×D5—62no—
278C2×Dic10D1211yescharacteristic, complemented
279C5×SD16—64no—
280C5×D8—64no—
281C5×M16—21no—
282C5×M16C22×D312yescomplemented
283C2×C5×C8—21no—
284#687—64no—
285#686—64no—
286C4×Dic5—21no—
287C4×Dic5C22×D312yescomplemented
288#681—32no—
289#681—61no—
290C2×#168—61no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—31no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—151no—
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—24no—
304C2×D15—44no—
305C2×D15—44no—
306C2×D15—82no—
307C2×C5×D3—22no—
308C2×C5×D3—42no—
309C2×C5×D3—44no—
310C2×C5×D3—42no—
311C2×C5×D3—82no—
312C2×C5×D3—82no—
313C2×C3×D5—22no—
314C2×C3×D5—42no—
315D3×D5—88no—
316C3×C4×C5#12011yescharacteristic
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5C22×D411yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320C3×Dic5—24no—
321C3×Dic5—22no—
322C5×Dic3—22no—
323C23×D3—21no—
324C23×D3—52no—
325C23×D3—102no—
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—101no—
334C22×C3×C4—101no—
335C22×C3×C4C22×D511yescharacteristic
336C2×#67—21no—
337C2×#67—102no—
338#239—104no—
339#239—104no—
340D3×D4—104no—
341D3×D4—104no—
342D3×D4—108no—
343D3×D4—108no—
344#235—21no—
345#235—21no—
346#235—104no—
347#235—104no—
348#235C22⋊D512yescomplemented
349#235C22×D512yes—
350C2×D12—21no—
351C2×D12—21no—
352C2×D12—21no—
353C2×D12—21no—
354C2×D12—21no—
355C2×D12—52no—
356C2×D12—52no—
357C2×D12—104no—
358C2×D12—102no—
359C2×D12—101no—
360C2×D12—101no—
361C2×D12—101no—
362C2×D12—101no—
363C2×D12—104no—
364C2×D12—108no—
365C2×D12—208no—
366C2×D12C22⋊D511yescharacteristic, complemented
367C2×D12C22×D512yescomplemented
368C2×C4×D3—21no—
369C2×C4×D3—102no—
370C2×Dic6C22⋊D511yescharacteristic, complemented
371C3×M16—21no—
372C3×M16C22×D512yescomplemented
373C2×C3×C8—21no—
374C3×C42—52no—
375C3×C42—101no—
376#215—104no—
377#213—104no—
378#208—52no—
379#208—101no—
380C2×C3⋊C8—101no—
381D24—24no—
382#204—24no—
383C23×C5—61no—
384C23×C5—62no—
385C23×C5—124no—
386C23×C5—121no—
387C23×C5—121no—
388C23×C5D3×D411yescharacteristic
389C22×D5—21no—
390C22×D5—34no—
391C22×D5—68no—
392C22×D5—62no—
393C22×D5—62no—
394C22×D5—124no—
395C22×D5—244no—
396C5×Q8—32no—
397C5×Q8—61no—
398C5×D4—32no—
399C5×D4—62no—
400C5×D4—62no—
401C5×D4—61no—
402C5×D4—62no—
403C5×D4—62no—
404C5×D4—121no—
405C5×D4—121no—
406C2×C4×C5—61no—
407C2×C4×C5—62no—
408C2×C4×C5—62no—
409C2×C4×C5C2×D1211yescharacteristic
410C2×C4×C5C2×D1211yescharacteristic
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5D3×D411yescharacteristic
413C2×C4×C5D3×D411yescharacteristic
414C2×C4×C5C23×D311yescharacteristic
415C22⋊D5—22no—
416C22⋊D5—22no—
417C22⋊D5—68no—
418C22⋊D5—1216no—
419C2×Dic5—24no—
420C2×Dic5—21no—
421C2×Dic5—22no—
422D20—21no—
423D20—68no—
424D20—62no—
425D20—62no—
426D20—62no—
427D20—62no—
428D20C2×D1212yescomplemented
429C4×D5—22no—
430C4×D5—22no—
431C4×D5—68no—
432Dic10—21no—
433Dic10C2×D1212yescomplemented
434C5×C8—22no—
435#168—62no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—31no—
441C2×#41—51no—
442C2×#41—301no—
443C2×#41—301no—
444C22×D4—31no—
445C22×D4—151no—
446C22×D4—301no—
447C22×D4—301no—
448C22×D4—302no—
449C22×D4—302no—
450AGL(1,ℤ/8)—34no—
451AGL(1,ℤ/8)—62no—
452AGL(1,ℤ/8)—154no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—61no—
455C2×SD16—301no—
456C2×D8—61no—
457C2×D8—301no—
458C2×M16—151no—
459C2×M16D3×D511yescharacteristic, complemented
460#127—154no—
461#127—302no—
462C2×C42—51no—
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—44no—
471C3×D5—42no—
472C5×D3—42no—
473C5×D3—82no—
474C23×C3—101no—
475C23×C3D4×D511yescharacteristic
476C22×D3—21no—
477C22×D3—22no—
478C22×D3—44no—
479C22×D3—41no—
480C22×D3—41no—
481C22×D3—54no—
482C22×D3—108no—
483C22×D3—102no—
484C22×D3—102no—
485C22×D3—204no—
486C22×D3—404no—
487C3×Q8—52no—
488C3×Q8—101no—
489C3×D4—52no—
490C3×D4—102no—
491C3×D4—102no—
492C3×D4—101no—
493C2×C3×C4—104no—
494C2×C3×C4—102no—
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×C4C2×C22⋊D511yescharacteristic
502C2×C3×C4C2×C22⋊D511yescharacteristic
503C2×C3×C4C23×D511yescharacteristic
504#67—22no—
505#67—22no—
506#67—108no—
507C2×Dic3—21no—
508D12—22no—
509D12—22no—
510D12—21no—
511D12—41no—
512D12—41no—
513D12—108no—
514D12—102no—
515D12—102no—
516D12—102no—
517D12—102no—
518D12—2016no—
519D12C2×C22⋊D512yescomplemented
520C4×D3—22no—
521C4×D3—22no—
522C4×D3—108no—
523Dic6—21no—
524Dic6C2×C22⋊D512yescomplemented
525C3×C8—22no—
526C3⋊C8—102no—
527C22×C5—22no—
528C22×C5—62no—
529C22×C5—124no—
530C22×C5—122no—
531C22×C5—122no—
532C22×C5—242no—
533C22×C5—242no—
534C22×C5#88211yescharacteristic
535C22×C5#88211yescharacteristic
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—22no—
538C2×D5—42no—
539C2×D5—64no—
540C2×D5—124no—
541C2×D5—124no—
542C2×D5—248no—
543C2×D5—242no—
544C4×C5—62no—
545C4×C5#88211yescharacteristic
546C4×C5#88211yescharacteristic
547C4×C5C22×D1211yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549Dic5—24no—
550Dic5—22no—
551C24—61no—
552C24—152no—
553C24—302no—
554#41—32no—
555#41—32no—
556#41—52no—
557#41—52no—
558#41—61no—
559#41—61no—
560#41—101no—
561#41—101no—
562#41—304no—
563#41—304no—
564#41—304no—
565#41—304no—
566C2×Q8—31no—
567C2×Q8—51no—
568C2×D4—31no—
569C2×D4—32no—
570C2×D4—51no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—101no—
578C2×D4—152no—
579C2×D4—152no—
580C2×D4—304no—
581C2×D4—304no—
582C2×D4—302no—
583C2×D4—304no—
584C2×D4—304no—
585C2×D4—302no—
586C2×D4—308no—
587C2×D4—308no—
588C2×D4—308no—
589C2×D4—301no—
590C2×D4—301no—
591C2×D4—301no—
592C2×D4—301no—
593C2×D4—608no—
594C22×C4—61no—
595C22×C4—101no—
596C22×C4—101no—
597C22×C4—302no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—64no—
600SD16—304no—
601D8—64no—
602D8—304no—
603M16—21no—
604M16—152no—
605M16—301no—
606M16C2×D3×D512yescomplemented
607C2×C8—21no—
608C2×C8—301no—
609C42—52no—
610C42—101no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—102no—
614C22×C3—202no—
615C22×C3#408311yescharacteristic
616C22×C3#408311yescharacteristic
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—22no—
619C2×D3—42no—
620C2×D3—44no—
621C2×D3—42no—
622C2×D3—82no—
623C2×D3—82no—
624C2×D3—104no—
625C2×D3—204no—
626C2×D3—204no—
627C2×D3—408no—
628C2×D3—402no—
629C3×C4—104no—
630C3×C4—102no—
631C3×C4#408311yescharacteristic
632C3×C4#408311yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634C3×C4C22×C22⋊D511yescharacteristic
635Dic3—22no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—122no—
639C2×C5—242no—
640C2×C5#482212yescomplemented
641C2×C5C2×#88211yescharacteristic
642D5—42no—
643D5—124no—
644C23—61no—
645C23—62no—
646C23—101no—
647C23—124no—
648C23—121no—
649C23—121no—
650C23—154no—
651C23—308no—
652C23—302no—
653C23—302no—
654C23—604no—
655C23—1204no—
656C23#677711yescharacteristic
657Q8—32no—
658Q8—52no—
659Q8—61no—
660Q8—101no—
661D4—32no—
662D4—52no—
663D4—62no—
664D4—62no—
665D4—61no—
666D4—62no—
667D4—62no—
668D4—102no—
669D4—102no—
670D4—101no—
671D4—121no—
672D4—121no—
673D4—308no—
674D4—308no—
675D4—302no—
676D4—302no—
677D4—302no—
678D4—302no—
679D4—6016no—
680C2×C4—61no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—104no—
684C2×C4—101no—
685C2×C4—102no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—308no—
689C2×C4D5×D1211yescharacteristic
690C2×C4D5×D1211yescharacteristic
691C2×C4#677711yescharacteristic
692C2×C4D3×C22⋊D511yescharacteristic
693C2×C4D3×C22⋊D511yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—22no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—202no—
700C2×C3#6548712yescomplemented
701C2×C3C2×#408311yescharacteristic
702D3—42no—
703D3—82no—
704D3—204no—
705C5C2×#482211yescharacteristic, complemented, Sylow
706C22—22no—
707C22—62no—
708C22—102no—
709C22—124no—
710C22—122no—
711C22—122no—
712C22—202no—
713C22—242no—
714C22—242no—
715C22—304no—
716C22—604no—
717C22—604no—
718C22—1202no—
719C22—1208no—
720C22#9147511yescharacteristic
721C22#9147511yescharacteristic
722C22C2×#677711yescharacteristic
723C4—62no—
724C4—104no—
725C4—102no—
726C4#9147511yescharacteristic
727C4#9147511yescharacteristic
728C4C2×D5×D1211yescharacteristic
729C4C2×D3×C22⋊D511yescharacteristic
730C3C2×#6548711yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—122no—
734C2—202no—
735C2—242no—
736C2—604no—
737C2#1174824712yesdirect product factor
738C2C2×#9147511yescharacteristic
subgroupG/H
centerC22#91475
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×#92019C2semidirect
2. C2×C5×#908C2semidirect
3. C2×#91451C2semidirect
4. C2×#91299C2semidirect
5. C2×#91107C2semidirect
6. C2×C3×#3957C2semidirect
7. C2×#90979C2semidirect
8. #11748247C2direct (N × H)
12. C22×C5×D12C22semidirect
19. #92019C22semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×#6710C22semidirect
27. C5×#908C22semidirect
30. C2×C3×C4×Dic5C22semidirect
32. #91451C22semidirect
35. #91299C22semidirect
37. #91107C22semidirect
38. C3×#3957C22semidirect
39. #90979C22semidirect
47. C2×#3957D3semidirect
62. C5×#235D4semidirect
69. C2×C5×D12D4semidirect
70. C2×C5×D12C23semidirect
72. C2×C5×Dic6D4semidirect
77. C3×#709D4semidirect
79. C2×C3×D20D4semidirect
81. C2×C3×Dic10D4semidirect
98. C3×C5×M16C23semidirect
101. #6710C23semidirect
106. C3×C4×Dic5C23semidirect
111. C2×#908D5semidirect
135. C2×C5×M16C2×D3semidirect
142. C2×C4×Dic5C2×D3semidirect
145. #3957C2×D3semidirect
179. C5×D12C2×D4semidirect
183. C5×Dic6C2×D4semidirect
190. C3×D20C2×D4semidirect
194. C3×Dic10C2×D4semidirect
214. C22×D12C2×D5semidirect
215. C2×C3×M16C2×D5semidirect
223. #908C2×D5semidirect
264. #709D12semidirect
275. C2×D20D12semidirect
278. C2×Dic10D12semidirect
282. C5×M16C22×D3semidirect
287. C4×Dic5C22×D3semidirect
348. #235C22⋊D5semidirect
366. C2×D12C22⋊D5semidirect
367. C2×D12C22×D5semidirect
370. C2×Dic6C22⋊D5semidirect
372. C3×M16C22×D5semidirect
428. D20C2×D12semidirect
433. Dic10C2×D12semidirect
459. C2×M16D3×D5semidirect
468. C2×C3×C5#453semidirect
519. D12C2×C22⋊D5semidirect
524. Dic6C2×C22⋊D5semidirect
606. M16C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
640. C2×C5#4822semidirect
700. C2×C3#65487semidirect
705. C5C2×#4822semidirect
730. C3C2×#65487semidirect
737. C2#11748247direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#920192
C2×C5×#9082
C2×#914512
C2×#912992
C2×#911072
C2×C3×#39572
C2×#909792
#117482472
C2×#654873
C2×#48225