Finite Group Databasebeta

← C2×#11749418 #14424995

Subgroups — C2×#11749418 #14424995

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×C3×#4149C211yesmaximal, characteristic, complemented
2C2×#91838C211yesmaximal, characteristic, complemented
3C2×#91458C211yesmaximal, characteristic, complemented
4C2×#91301C211yesmaximal, characteristic, complemented
5C2×C5×#837C211yesmaximal, characteristic, complemented
6#11749418C218yesmaximal, direct product factor
7C2×#90977C211yesmaximal, characteristic, complemented
8C2×#90958C211yesmaximal, characteristic, complemented
9C2×#65111—31nomaximal, Hall
10C2×C3×C5×#41C2211yescharacteristic
11C22×D60C2211yescharacteristic, complemented
12C3×#4149—22no—
13C3×#4149—22no—
14C3×#4149—22no—
15C3×#4149C2214yescomplemented
16C2×C3×#713—21no—
17C2×C3×D4×D5—22no—
18C2×C3×D4×D5—21no—
19C2×C3×#709—21no—
20C2×C3×#709C2211yescharacteristic
21C22×C3×D20—21no—
22C22×C3×D20C2211yescharacteristic
23C22×#1202—22no—
24#91838—22no—
25#91838C2214yescomplemented
26C2×#6717—21no—
27C2×#6715—21no—
28C2×#6710C2211yescharacteristic, complemented
29C2×C4×C5×Dic3C2211yescharacteristic, complemented
30C2×C5×#208C2211yescharacteristic, complemented
31#91458—22no—
32#91458C2214yescomplemented
33C2×#6658—21no—
34#91301—22no—
35#91301C2214yescomplemented
36C2×#6653—21no—
37C5×#837C2214yescomplemented
38#90977C2214yescomplemented
39#90958C2214yescomplemented
40C2×#5241—51nomaximal, Hall
41C2×#4149D311yescharacteristic, complemented
42C2×#4095—31no—
43C2×#4054—31no—
44C2×#4020—31no—
45C2×C5×#104—31no—
46C2×#3955—31no—
47C2×#3937—31no—
48#65111—38no—
49C23×D15—21no—
50C23×C3×D5—22no—
51C23×C3×D5D412yes—
52C3×C5×#41—21no—
53C3×C5×#41—21no—
54C3×C5×#41D412yescomplemented
55C3×C5×#41C2312yes—
56C2×C3×C5×Q8D411yescharacteristic, complemented
57C2×C3×C5×D4—21no—
58C2×C3×C5×D4D411yescharacteristic, complemented
59C22×C3×C4×C5—21no—
60C22×C3×C4×C5C2311yescharacteristic
61C2×D60—21no—
62C2×D60—21no—
63C2×D60—21no—
64C2×D60—21no—
65C2×D60—21no—
66C2×D60C2312yescomplemented
67C22×C5×Dic3—21no—
68C2×C3×C22⋊D5—22no—
69C2×C3×C22⋊D5—21no—
70C3×#713—24no—
71C3×#713—24no—
72C3×D4×D5—28no—
73C3×D4×D5—24no—
74C3×D4×D5—28no—
75C3×D4×D5—24no—
76C3×#709—24no—
77C3×#709—21no—
78C3×#709—21no—
79C3×#709—24no—
80C3×#709D412yescomplemented
81C3×#709C2312yes—
82C2×C3×D20—22no—
83C2×C3×D20—24no—
84C2×C3×D20—21no—
85C2×C3×D20—21no—
86C2×C3×D20—21no—
87C2×C3×D20—21no—
88C2×C3×D20—24no—
89C2×C3×D20D412yes—
90C2×C3×D20D411yescharacteristic, complemented
91C2×C3×D20C2312yes—
92C2×C3×C4×D5—22no—
93C2×C3×C4×D5—21no—
94C2×C3×Dic10D411yescharacteristic, complemented
95C2×#1202—28no—
96C2×#1202—48no—
97#6717—24no—
98#6715—24no—
99#6710—21no—
100#6710C2312yescomplemented
101C2×C3⋊#168—21no—
102C4×C5×Dic3—21no—
103C4×C5×Dic3C2312yescomplemented
104C5×#208—21no—
105C5×#208C2312yescomplemented
106C2×C5×C3⋊C8—21no—
107#6658—24no—
108#6653—24no—
109C2×C3×H(5,𝔽2)—51no—
110C2×#949—51no—
111C2×#949—51no—
112C2×#940—51no—
113#5241—58no—
114C2×#837—51no—
115C2×#837D511yescharacteristic, complemented
116C2×#833—51no—
117C2×C5×#41C2×D311yescharacteristic
118#4149—22no—
119#4149—22no—
120#4149—22no—
121#4149C2×D314yescomplemented
122C2×#713—21no—
123C2×D4×D5—22no—
124C2×D4×D5—21no—
125C2×#709—21no—
126C2×#709C2×D311yescharacteristic
127C22×D20—21no—
128C22×D20—31no—
129C22×D20—62no—
130C22×D20C2×D311yescharacteristic
131C2×C5×M16—31no—
132C2×C42×C5—31no—
133#4095—34no—
134#4095—62no—
135C2×#688—61no—
136C2×#686—61no—
137C2×#681—31no—
138#4054—34no—
139#4054—62no—
140C2×D40—61no—
141C2×#677—61no—
142#4020—34no—
143#4020—62no—
144C5×#104—34no—
145#3955—34no—
146#3937—34no—
147C2×#453—151noSylow
148C23×C3×C5—21no—
149C23×C3×C5C2×D411yescharacteristic
150C22×D15—22no—
151C22×D15—44no—
152C22×D15—41no—
153C22×D15—41no—
154C22×C3×D5—22no—
155C22×C3×D5—21no—
156C22×C3×D5—28no—
157C22×C3×D5—22no—
158C22×C3×D5—44no—
159C22×C3×D5—84no—
160C22×C3×D5C2×D414yes—
161C3×C5×Q8—21no—
162C3×C5×Q8C2×D412yescomplemented
163C3×C5×D4—22no—
164C3×C5×D4—22no—
165C3×C5×D4—21no—
166C3×C5×D4C2×D412yescomplemented
167C2×C3×C4×C5—21no—
168C2×C3×C4×C5—22no—
169C2×C3×C4×C5—22no—
170C2×C3×C4×C5C2×D411yescharacteristic
171C2×C3×C4×C5C2×D411yescharacteristic
172C2×C3×C4×C5C2×D411yescharacteristic
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2411yescharacteristic
176D60—22no—
177D60—22no—
178D60—41no—
179D60—41no—
180C2×C5×Dic3—24no—
181C2×C5×Dic3—22no—
182C3×C22⋊D5—28no—
183C3×C22⋊D5—22no—
184C3×C22⋊D5—22no—
185C2×C3×Dic5—21no—
186C3×D20—28no—
187C3×D20—22no—
188C3×D20—21no—
189C3×D20—22no—
190C3×D20—22no—
191C3×D20—22no—
192C3×D20C2×D412yescomplemented
193C3×C4×D5—28no—
194C3×C4×D5—22no—
195C3×C4×D5—22no—
196C3×Dic10—21no—
197C3×Dic10C2×D412yescomplemented
198#1202—416no—
199C3⋊#168—22no—
200C5×C3⋊C8—22no—
201C3×H(5,𝔽2)—54no—
202C3×H(5,𝔽2)—102no—
203C3×H(5,𝔽2)—102no—
204C3×H(5,𝔽2)—102no—
205C2×C3×#41—51no—
206C2×C3×#41—101no—
207C2×C3×#41—101no—
208C2×C3×#41C2×D511yescharacteristic
209C22×C3×D4—51no—
210C22×C3×D4—101no—
211C22×C3×D4—102no—
212C22×C3×D4—101no—
213C22×#67—102no—
214C22×D12—51no—
215#949—54no—
216#949—54no—
217#949—102no—
218#949—102no—
219C2×#215—101no—
220C2×#215—101no—
221#940—54no—
222#940—102no—
223C2×#213—101no—
224C2×#213—101no—
225C2×C4×Dic3C2×D511yescharacteristic, complemented
226C2×#208—51no—
227C2×#208C2×D511yescharacteristic, complemented
228#837—54no—
229#837C2×D514yescomplemented
230#833—54no—
231C23×D5—22no—
232C23×D5—61no—
233C23×D5#6712yes—
234C5×#41—21no—
235C5×#41—21no—
236C5×#41#6712yescomplemented
237C5×#41C22×D312yes—
238C2×C5×Q8#6711yescharacteristic, complemented
239C2×C5×D4—21no—
240C2×C5×D4#6711yescharacteristic, complemented
241C22×C4×C5—21no—
242C22×C4×C5—61no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—22no—
245C2×C22⋊D5—21no—
246#713—24no—
247#713—24no—
248D4×D5—28no—
249D4×D5—24no—
250D4×D5—28no—
251D4×D5—24no—
252#709—24no—
253#709—21no—
254#709—21no—
255#709—24no—
256#709#6712yescomplemented
257#709C22×D312yes—
258C2×D20—22no—
259C2×D20—24no—
260C2×D20—21no—
261C2×D20—21no—
262C2×D20—21no—
263C2×D20—21no—
264C2×D20—24no—
265C2×D20—32no—
266C2×D20—61no—
267C2×D20—61no—
268C2×D20—61no—
269C2×D20—61no—
270C2×D20—68no—
271C2×D20—61no—
272C2×D20—128no—
273C2×D20#6712yes—
274C2×D20#6711yescharacteristic, complemented
275C2×D20C22×D312yes—
276C2×C4×D5—22no—
277C2×C4×D5—21no—
278C2×Dic10#6711yescharacteristic, complemented
279C5×M16—32no—
280C5×M16—61no—
281C2×C5×C8—61no—
282C42×C5—32no—
283C42×C5—61no—
284#688—64no—
285#686—64no—
286#681—32no—
287#681—61no—
288C2×#168—61no—
289D40—64no—
290#677—64no—
291C2×H(5,𝔽2)—51no—
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—151no—
299C22×C3×C5—22no—
300C22×C3×C5—22no—
301C22×C3×C5—42no—
302C22×C3×C5#12011yescharacteristic
303C22×C3×C5#12011yescharacteristic
304C22×C3×C5C22×D411yescharacteristic
305C2×D15—44no—
306C2×D15—42no—
307C2×D15—82no—
308C2×D15—82no—
309C2×C3×D5—24no—
310C2×C3×D5—22no—
311C2×C3×D5—44no—
312C2×C3×D5—42no—
313C2×C3×D5—44no—
314C2×C3×D5—82no—
315C2×C3×D5—88no—
316C3×C4×C5—22no—
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5#12011yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321C3×Dic5—22no—
322C5×Dic3—24no—
323C24×C3—52no—
324C24×C3—102no—
325C23×D3—101no—
326C3×#41—21no—
327C3×#41—21no—
328C3×#41—52no—
329C3×#41—52no—
330C3×#41—104no—
331C3×#41—104no—
332C3×#41—104no—
333C3×#41—104no—
334C3×#41—101no—
335C3×#41—101no—
336C3×#41D2012yescomplemented
337C3×#41C22×D512yes—
338C2×C3×Q8—51no—
339C2×C3×Q8D2011yescharacteristic, complemented
340C2×C3×D4—21no—
341C2×C3×D4—51no—
342C2×C3×D4—52no—
343C2×C3×D4—52no—
344C2×C3×D4—104no—
345C2×C3×D4—102no—
346C2×C3×D4—104no—
347C2×C3×D4—108no—
348C2×C3×D4—108no—
349C2×C3×D4—104no—
350C2×C3×D4—102no—
351C2×C3×D4—101no—
352C2×C3×D4—104no—
353C2×C3×D4—101no—
354C2×C3×D4—101no—
355C2×C3×D4—101no—
356C2×C3×D4—101no—
357C2×C3×D4D2011yescharacteristic, complemented
358C22×C3×C4—21no—
359C22×C3×C4—102no—
360C22×C3×C4—101no—
361C22×C3×C4C22×D511yescharacteristic
362C2×#67—108no—
363C2×#67—208no—
364C22×Dic3—21no—
365C2×D12—52no—
366C2×D12—101no—
367C2×D12—101no—
368C2×D12—101no—
369C2×D12—101no—
370C2×D12—101no—
371#215—104no—
372#215—104no—
373#213—104no—
374#213—104no—
375C4×Dic3—21no—
376C4×Dic3C22×D512yescomplemented
377#208—21no—
378#208—52no—
379#208—101no—
380#208C22×D512yescomplemented
381C2×C3⋊C8—21no—
382C2×C3⋊C8—101no—
383C23×C5—21no—
384C23×C5C2×#6711yescharacteristic
385C22×D5—22no—
386C22×D5—21no—
387C22×D5—28no—
388C22×D5—22no—
389C22×D5—44no—
390C22×D5—62no—
391C22×D5—84no—
392C22×D5—124no—
393C22×D5—121no—
394C22×D5—121no—
395C22×D5C2×#6714yes—
396C5×Q8—21no—
397C5×Q8C2×#6712yescomplemented
398C5×D4—22no—
399C5×D4—22no—
400C5×D4—21no—
401C5×D4C2×#6712yescomplemented
402C2×C4×C5—21no—
403C2×C4×C5—22no—
404C2×C4×C5—22no—
405C2×C4×C5—64no—
406C2×C4×C5—62no—
407C2×C4×C5C2×#6711yescharacteristic
408C2×C4×C5C2×#6711yescharacteristic
409C2×C4×C5C2×#6711yescharacteristic
410C2×C4×C5C2×#6711yescharacteristic
411C2×C4×C5C2×#6711yescharacteristic
412C2×C4×C5C23×D311yescharacteristic
413C22⋊D5—28no—
414C22⋊D5—22no—
415C22⋊D5—22no—
416C2×Dic5—21no—
417D20—28no—
418D20—22no—
419D20—21no—
420D20—22no—
421D20—22no—
422D20—22no—
423D20—62no—
424D20—62no—
425D20—1216no—
426D20—121no—
427D20—121no—
428D20C2×#6712yescomplemented
429C4×D5—28no—
430C4×D5—22no—
431C4×D5—22no—
432Dic10—21no—
433Dic10C2×#6712yescomplemented
434C5×C8—62no—
435#168—62no—
436H(5,𝔽2)—54no—
437H(5,𝔽2)—102no—
438H(5,𝔽2)—102no—
439H(5,𝔽2)—102no—
440C2×#41—51no—
441C2×#41—101no—
442C2×#41—101no—
443C2×#41D3×D511yescharacteristic
444C22×D4—51no—
445C22×D4—101no—
446C22×D4—102no—
447C22×D4—101no—
448C22×D4—151no—
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—31no—
459C2×M16—151no—
460#127—154no—
461#127—302no—
462C2×C42—31no—
463#104—34no—
464#104—154no—
465#100—154no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5—42no—
469C2×C3×C5#45312yescomplemented
470C2×C3×C5C2×#12011yescharacteristic
471D15—82no—
472C3×D5—44no—
473C3×D5—42no—
474C23×C3—21no—
475C23×C3—54no—
476C23×C3—108no—
477C23×C3—101no—
478C23×C3—102no—
479C23×C3—102no—
480C23×C3—204no—
481C23×C3—404no—
482C23×C3D4×D511yescharacteristic
483C22×D3—102no—
484C22×D3—204no—
485C22×D3—201no—
486C22×D3—201no—
487C3×Q8—21no—
488C3×Q8—52no—
489C3×Q8—101no—
490C3×Q8C2×D2012yescomplemented
491C3×D4—22no—
492C3×D4—22no—
493C3×D4—21no—
494C3×D4—52no—
495C3×D4—108no—
496C3×D4—108no—
497C3×D4—102no—
498C3×D4—102no—
499C3×D4—102no—
500C3×D4—102no—
501C3×D4—101no—
502C3×D4—102no—
503C3×D4—102no—
504C3×D4C2×D2012yescomplemented
505C2×C3×C4—21no—
506C2×C3×C4—22no—
507C2×C3×C4—22no—
508C2×C3×C4—108no—
509C2×C3×C4—101no—
510C2×C3×C4—102no—
511C2×C3×C4—102no—
512C2×C3×C4C2×D2011yescharacteristic
513C2×C3×C4C2×D2011yescharacteristic
514C2×C3×C4D4×D511yescharacteristic
515C2×C3×C4D4×D511yescharacteristic
516C2×C3×C4D4×D511yescharacteristic
517C2×C3×C4C23×D511yescharacteristic
518#67—2016no—
519C2×Dic3—24no—
520C2×Dic3—22no—
521D12—102no—
522D12—102no—
523D12—201no—
524D12—201no—
525C3⋊C8—22no—
526C3⋊C8—102no—
527C22×C5—22no—
528C22×C5—22no—
529C22×C5—42no—
530C22×C5#95311yescharacteristic
531C22×C5#95311yescharacteristic
532C22×C5C22×#6711yescharacteristic
533C2×D5—24no—
534C2×D5—22no—
535C2×D5—44no—
536C2×D5—42no—
537C2×D5—44no—
538C2×D5—82no—
539C2×D5—88no—
540C2×D5—124no—
541C2×D5—122no—
542C2×D5—242no—
543C2×D5—242no—
544C4×C5—22no—
545C4×C5—64no—
546C4×C5#95311yescharacteristic
547C4×C5#95311yescharacteristic
548C4×C5C22×#6711yescharacteristic
549C4×C5C22×#6711yescharacteristic
550Dic5—22no—
551C24—52no—
552C24—102no—
553C24—301no—
554#41—21no—
555#41—21no—
556#41—52no—
557#41—52no—
558#41—104no—
559#41—104no—
560#41—104no—
561#41—104no—
562#41—101no—
563#41—101no—
564#41#120212yescomplemented
565#41C2×D3×D512yes—
566C2×Q8—51no—
567C2×Q8#120211yescharacteristic, complemented
568C2×D4—21no—
569C2×D4—51no—
570C2×D4—52no—
571C2×D4—52no—
572C2×D4—104no—
573C2×D4—102no—
574C2×D4—104no—
575C2×D4—108no—
576C2×D4—108no—
577C2×D4—104no—
578C2×D4—102no—
579C2×D4—101no—
580C2×D4—104no—
581C2×D4—101no—
582C2×D4—101no—
583C2×D4—101no—
584C2×D4—101no—
585C2×D4—152no—
586C2×D4—308no—
587C2×D4—301no—
588C2×D4—301no—
589C2×D4—301no—
590C2×D4—301no—
591C2×D4—301no—
592C2×D4—608no—
593C2×D4#120211yescharacteristic, complemented
594C22×C4—21no—
595C22×C4—61no—
596C22×C4—102no—
597C22×C4—101no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—304no—
600SD16—304no—
601D8—304no—
602D8—304no—
603M16—32no—
604M16—61no—
605M16—152no—
606M16—301no—
607C2×C8—61no—
608C2×C8—301no—
609C42—32no—
610C42—61no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—22no—
614C22×C3—42no—
615C22×C3—102no—
616C22×C3—104no—
617C22×C3—204no—
618C22×C3—204no—
619C22×C3—202no—
620C22×C3—402no—
621C22×C3—408no—
622C22×C3#402811yescharacteristic
623C22×C3#402811yescharacteristic
624C22×C3C2×D4×D511yescharacteristic
625C2×D3—204no—
626C2×D3—202no—
627C2×D3—402no—
628C2×D3—402no—
629C3×C4—22no—
630C3×C4—102no—
631C3×C4#402811yescharacteristic
632C3×C4#402811yescharacteristic
633C3×C4C22×D2011yescharacteristic
634C3×C4C2×D4×D511yescharacteristic
635Dic3—24no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—42no—
639C2×C5#524112yescomplemented
640C2×C5C2×#95311yescharacteristic
641D5—44no—
642D5—42no—
643D5—242no—
644C23—21no—
645C23—54no—
646C23—108no—
647C23—101no—
648C23—102no—
649C23—102no—
650C23—204no—
651C23—302no—
652C23—404no—
653C23—604no—
654C23—601no—
655C23—601no—
656C23D5×#6711yescharacteristic
657Q8—21no—
658Q8—52no—
659Q8—101no—
660Q8C2×#120212yescomplemented
661D4—22no—
662D4—22no—
663D4—21no—
664D4—52no—
665D4—108no—
666D4—108no—
667D4—102no—
668D4—102no—
669D4—102no—
670D4—102no—
671D4—101no—
672D4—102no—
673D4—102no—
674D4—302no—
675D4—302no—
676D4—6016no—
677D4—601no—
678D4—601no—
679D4C2×#120212yescomplemented
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—64no—
684C2×C4—62no—
685C2×C4—108no—
686C2×C4—101no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4C2×#120211yescharacteristic
690C2×C4C2×#120211yescharacteristic
691C2×C4D5×#6711yescharacteristic
692C2×C4D5×#6711yescharacteristic
693C2×C4D5×#6711yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—62no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—42no—
700C2×C3—204no—
701C2×C3—202no—
702C2×C3#6511112yescomplemented
703C2×C3C2×#402811yescharacteristic
704D3—402no—
705C5C2×#524111yescharacteristic, complemented, Sylow
706C22—22no—
707C22—22no—
708C22—42no—
709C22—102no—
710C22—104no—
711C22—204no—
712C22—204no—
713C22—202no—
714C22—402no—
715C22—408no—
716C22—604no—
717C22—602no—
718C22—1202no—
719C22—1202no—
720C22#9156411yescharacteristic
721C22#9156411yescharacteristic
722C22C2×D5×#6711yescharacteristic
723C4—22no—
724C4—64no—
725C4—102no—
726C4#9156411yescharacteristic
727C4#9156411yescharacteristic
728C4C22×#120211yescharacteristic
729C4C2×D5×#6711yescharacteristic
730C3C2×#6511111yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—42no—
734C2—204no—
735C2—202no—
736C2—1202no—
737C2#1174941812yesdirect product factor
738C2C2×#9156411yescharacteristic
subgroupG/H
centerC22#91564
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5#120
hypercenterC2×#41D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4149C2semidirect
2. C2×#91838C2semidirect
3. C2×#91458C2semidirect
4. C2×#91301C2semidirect
5. C2×C5×#837C2semidirect
6. #11749418C2direct (N × H)
7. C2×#90977C2semidirect
8. C2×#90958C2semidirect
11. C22×D60C22semidirect
15. C3×#4149C22semidirect
25. #91838C22semidirect
28. C2×#6710C22semidirect
29. C2×C4×C5×Dic3C22semidirect
30. C2×C5×#208C22semidirect
32. #91458C22semidirect
35. #91301C22semidirect
37. C5×#837C22semidirect
38. #90977C22semidirect
39. #90958C22semidirect
41. C2×#4149D3semidirect
54. C3×C5×#41D4semidirect
56. C2×C3×C5×Q8D4semidirect
58. C2×C3×C5×D4D4semidirect
66. C2×D60C23semidirect
80. C3×#709D4semidirect
90. C2×C3×D20D4semidirect
94. C2×C3×Dic10D4semidirect
100. #6710C23semidirect
103. C4×C5×Dic3C23semidirect
105. C5×#208C23semidirect
115. C2×#837D5semidirect
121. #4149C2×D3semidirect
162. C3×C5×Q8C2×D4semidirect
166. C3×C5×D4C2×D4semidirect
192. C3×D20C2×D4semidirect
197. C3×Dic10C2×D4semidirect
225. C2×C4×Dic3C2×D5semidirect
227. C2×#208C2×D5semidirect
229. #837C2×D5semidirect
236. C5×#41#67semidirect
238. C2×C5×Q8#67semidirect
240. C2×C5×D4#67semidirect
256. #709#67semidirect
274. C2×D20#67semidirect
278. C2×Dic10#67semidirect
336. C3×#41D20semidirect
339. C2×C3×Q8D20semidirect
357. C2×C3×D4D20semidirect
376. C4×Dic3C22×D5semidirect
380. #208C22×D5semidirect
397. C5×Q8C2×#67semidirect
401. C5×D4C2×#67semidirect
428. D20C2×#67semidirect
433. Dic10C2×#67semidirect
469. C2×C3×C5#453semidirect
490. C3×Q8C2×D20semidirect
504. C3×D4C2×D20semidirect
564. #41#1202semidirect
567. C2×Q8#1202semidirect
593. C2×D4#1202semidirect
611. C3×C5C2×#453semidirect
639. C2×C5#5241semidirect
660. Q8C2×#1202semidirect
679. D4C2×#1202semidirect
702. C2×C3#65111semidirect
705. C5C2×#5241semidirect
730. C3C2×#65111semidirect
737. C2#11749418direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41492
C2×#918382
C2×#914582
C2×#913012
C2×C5×#8372
#117494182
C2×#909772
C2×#909582
C2×#651113
C2×#52415