Finite Group Databasebeta

← C2×#11749163 #14424987

Subgroups — C2×#11749163 #14424987

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×#91821C211yesmaximal, characteristic, complemented
3C2×C5×#932C211yesmaximal, characteristic, complemented
4C2×C3×#4086C211yesmaximal, characteristic, complemented
5#11749163C218yesmaximal, direct product factor
6C2×#90981C211yesmaximal, characteristic, complemented
7C2×#90979C211yesmaximal, characteristic, complemented
8C2×#90958C211yesmaximal, characteristic, complemented
9C2×#65487—31nomaximal, Hall
10C22×C3×C5×D4C2211yescharacteristic, complemented
11C2×#6817C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C22×C3×C22⋊D5—22no—
14C22×C3×D20C2211yescharacteristic
15C2×D5×#67—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×#6716—21no—
25#91821—22no—
26#91821C2214yescomplemented
27C2×#6715—21no—
28C2×#6710C2211yescharacteristic, complemented
29C2×C5×#214—21no—
30C5×#932—22no—
31C5×#932C2214yescomplemented
32C2×C5×#213—21no—
33C2×C5×#208C2211yescharacteristic, complemented
34C3×#4086—22no—
35C3×#4086C2214yescomplemented
36C2×C3×C4×Dic5C2211yescharacteristic, complemented
37#90981C2214yescomplemented
38#90979C2214yescomplemented
39#90958C2214yescomplemented
40C2×#5077—51nomaximal, Hall
41C2×#4149—31no—
42C2×C5×AGL(1,ℤ/8)—31no—
43C2×#4086D311yescharacteristic, complemented
44C2×#4078—31no—
45C2×#3969—31no—
46#65487—38no—
47C2×#3957—31no—
48C2×#3955—31no—
49C24×C3×C5—21no—
50C23×C3×D5D412yes—
51C22×D3×D5—22no—
52C2×C3×C5×D4—21no—
53C2×C3×C5×D4—21no—
54C2×C3×C5×D4—21no—
55C2×C3×C5×D4—21no—
56C2×C3×C5×D4—21no—
57C2×C3×C5×D4C2312yescomplemented
58C22×C3×C4×C5C2311yescharacteristic
59C2×#1220—21no—
60#6817—21no—
61#6817—21no—
62#6817D412yescomplemented
63#6817C2312yes—
64C2×D60D411yescharacteristic, complemented
65C2×C4×D15—21no—
66C2×Dic30D411yescharacteristic, complemented
67C2×C5×#67—21no—
68C5×#235—21no—
69C5×#235—21no—
70C5×#235D412yescomplemented
71C5×#235C2312yes—
72C2×C5×D12D411yescharacteristic, complemented
73C2×C4×C5×D3—21no—
74C2×C5×Dic6D411yescharacteristic, complemented
75C2×C3×C22⋊D5—28no—
76C2×C3×C22⋊D5—48no—
77C22×C3×Dic5—21no—
78C2×C3×D20—21no—
79C2×C3×D20—21no—
80C2×C3×D20—21no—
81C2×C3×D20—21no—
82C2×C3×D20D412yes—
83C2×C3×D20C2312yes—
84D5×#67—28no—
85D5×#67—28no—
86C2×#1202—22no—
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—
97#6716—24no—
98#6715—24no—
99#6710—21no—
100#6710C2312yescomplemented
101C2×C3⋊#168—21no—
102C5×#214—24no—
103C5×#213—24no—
104C5×#208—21no—
105C5×#208C2312yescomplemented
106C2×C5×C3⋊C8—21no—
107C3×C4×Dic5—21no—
108C3×C4×Dic5C2312yescomplemented
109C2×#1004—51no—
110C2×C3×#127—51no—
111C2×#932—51no—
112C2×#932D511yescharacteristic, complemented
113C2×#833—51no—
114#5077—58no—
115C2×#805—51no—
116C2×#805—51no—
117C2×C5×#41—31no—
118C22×C5×D4C2×D311yescharacteristic, complemented
119C22×C22⋊D5—22no—
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—31no—
128C2×#709—61no—
129C22×D20—61no—
130C22×D20C2×D311yescharacteristic
131C5×AGL(1,ℤ/8)—34no—
132C5×AGL(1,ℤ/8)—62no—
133C2×C5×SD16—61no—
134C2×C5×D8—61no—
135C2×C5×M16—31no—
136#4086—22no—
137#4086C2×D314yescomplemented
138C2×#687—61no—
139#4078—34no—
140#4078—62no—
141C2×#686—61no—
142C2×C4×Dic5C2×D311yescharacteristic, complemented
143C2×#681—31no—
144#3969—34no—
145#3957—34no—
146#3955—34no—
147C2×#453—151noSylow
148C23×C3×C5—22no—
149C23×C3×C5—44no—
150C23×C3×C5—41no—
151C23×C3×C5—41no—
152C23×C3×C5C2×D411yescharacteristic
153C22×D15—21no—
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—
161C3×C5×D4—22no—
162C3×C5×D4—22no—
163C3×C5×D4—41no—
164C3×C5×D4—41no—
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2×D411yescharacteristic
169C2×C3×C4×C5C2×D411yescharacteristic
170C2×C3×C4×C5C2411yescharacteristic
171#1220—22no—
172#1220—22no—
173C2×Dic15—21no—
174D60—21no—
175D60C2×D412yescomplemented
176C4×D15—22no—
177C4×D15—22no—
178Dic30—21no—
179Dic30C2×D412yescomplemented
180C5×#67—22no—
181C5×#67—22no—
182C2×C5×Dic3—21no—
183C5×D12—21no—
184C5×D12C2×D412yescomplemented
185C4×C5×D3—22no—
186C4×C5×D3—22no—
187C5×Dic6—21no—
188C5×Dic6C2×D412yescomplemented
189C3×C22⋊D5—416no—
190C2×C3×Dic5—24no—
191C2×C3×Dic5—22no—
192C3×D20—22no—
193C3×D20—22no—
194C3×D20—22no—
195C3×D20—22no—
196#1202—28no—
197#1201—28no—
198D5×Dic3—28no—
199C3⋊#168—22no—
200C5×C3⋊C8—22no—
201C22×C3×D4—51no—
202C22×C3×D4—102no—
203C22×C3×D4C2×D511yescharacteristic, complemented
204C22×#67—102no—
205#1004—54no—
206#1004—102no—
207#1004—102no—
208#1004—102no—
209C2×#237—101no—
210C2×#237—101no—
211C2×D3×D4—101no—
212C2×D3×D4—101no—
213C2×#235—51no—
214C2×#235C2×D511yescharacteristic
215C3×#127—54no—
216C3×#127—102no—
217C2×C3×C42—51no—
218C2×#214—21no—
219C2×#214—101no—
220#932—22no—
221#932—54no—
222#932—102no—
223#932C2×D514yescomplemented
224C2×#213—21no—
225C2×#213—101no—
226C2×#208—51no—
227C2×#208C2×D511yescharacteristic, complemented
228#833—54no—
229#805—54no—
230#805—54no—
231C24×C5—21no—
232C23×D5—62no—
233C23×D5#6712yes—
234C5×#41—32no—
235C5×#41—32no—
236C5×#41—61no—
237C5×#41—61no—
238C2×C5×Q8—31no—
239C2×C5×D4—21no—
240C2×C5×D4—21no—
241C2×C5×D4—21no—
242C2×C5×D4—21no—
243C2×C5×D4—21no—
244C2×C5×D4—31no—
245C2×C5×D4—61no—
246C2×C5×D4C22×D312yescomplemented
247C22×C4×C5—61no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—28no—
250C2×C22⋊D5—48no—
251C2×C22⋊D5—62no—
252C2×C22⋊D5—61no—
253C22×Dic5—21no—
254#713—64no—
255#713—64no—
256D4×D5—64no—
257D4×D5—64no—
258D4×D5—68no—
259D4×D5—68no—
260#709—32no—
261#709—32no—
262#709—64no—
263#709—64no—
264#709—61no—
265#709—61no—
266C2×D20—21no—
267C2×D20—21no—
268C2×D20—21no—
269C2×D20—21no—
270C2×D20—31no—
271C2×D20—64no—
272C2×D20—64no—
273C2×D20—62no—
274C2×D20#6712yes—
275C2×D20C22×D312yes—
276C2×C4×D5—62no—
277C2×C4×D5—61no—
278C2×Dic10—31no—
279C5×SD16—64no—
280C5×D8—64no—
281C5×M16—32no—
282C5×M16—61no—
283C2×C5×C8—61no—
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—51no—
295#453—158no—
296C2×#104—151no—
297C2×#104—151no—
298C2×#100—151no—
299C22×C3×C5—22no—
300C22×C3×C5—44no—
301C22×C3×C5—42no—
302C22×C3×C5—82no—
303C22×C3×C5—82no—
304C22×C3×C5#12011yescharacteristic
305C22×C3×C5#12011yescharacteristic
306C22×C3×C5C22×D411yescharacteristic
307C2×D15—22no—
308C2×D15—42no—
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—
321C3×Dic5—24no—
322C5×Dic3—22no—
323C24×C3—21no—
324C24×C3—52no—
325C23×D3—102no—
326C2×C3×D4—21no—
327C2×C3×D4—21no—
328C2×C3×D4—21no—
329C2×C3×D4—21no—
330C2×C3×D4—21no—
331C2×C3×D4—52no—
332C2×C3×D4—52no—
333C2×C3×D4—108no—
334C2×C3×D4—101no—
335C2×C3×D4—101no—
336C2×C3×D4—101no—
337C2×C3×D4—101no—
338C2×C3×D4—208no—
339C2×C3×D4C22×D512yescomplemented
340C22×C3×C4—101no—
341C22×C3×C4C22×D511yescharacteristic
342C2×#67—21no—
343C2×#67—102no—
344C2×#67—108no—
345C2×#67—108no—
346C2×#67—102no—
347C2×#67—101no—
348C22×Dic3—102no—
349#237—104no—
350#237—104no—
351#237—104no—
352#237—104no—
353D3×D4—104no—
354D3×D4—104no—
355D3×D4—104no—
356D3×D4—104no—
357#235—21no—
358#235—21no—
359#235—52no—
360#235—52no—
361#235—101no—
362#235—101no—
363#235C22⋊D512yescomplemented
364#235C22×D512yes—
365C2×D12—51no—
366C2×D12C22⋊D511yescharacteristic, complemented
367C2×C4×D3—21no—
368C2×C4×D3—101no—
369C2×Dic6—51no—
370C2×Dic6C22⋊D511yescharacteristic, complemented
371C3×C42—52no—
372C3×C42—101no—
373#214—24no—
374#214—104no—
375#213—24no—
376#213—104no—
377#208—21no—
378#208—52no—
379#208—101no—
380#208C22×D512yescomplemented
381C2×C3⋊C8—21no—
382C2×C3⋊C8—101no—
383C23×C5—22no—
384C23×C5—44no—
385C23×C5—41no—
386C23×C5—41no—
387C23×C5—61no—
388C23×C5C2×#6711yescharacteristic
389C22×D5—22no—
390C22×D5—22no—
391C22×D5—44no—
392C22×D5—68no—
393C22×D5—61no—
394C22×D5—244no—
395C22×D5C2×#6714yes—
396C5×Q8—32no—
397C5×Q8—61no—
398C5×D4—22no—
399C5×D4—22no—
400C5×D4—32no—
401C5×D4—41no—
402C5×D4—41no—
403C5×D4—62no—
404C5×D4—62no—
405C5×D4—61no—
406C2×C4×C5—61no—
407C2×C4×C5—62no—
408C2×C4×C5—62no—
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5D3×D411yescharacteristic
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5D3×D411yescharacteristic
413C2×C4×C5C2×#6711yescharacteristic
414C2×C4×C5C23×D311yescharacteristic
415C22⋊D5—416no—
416C22⋊D5—68no—
417C22⋊D5—62no—
418C22⋊D5—62no—
419C2×Dic5—24no—
420C2×Dic5—22no—
421C2×Dic5—61no—
422D20—22no—
423D20—22no—
424D20—22no—
425D20—22no—
426D20—32no—
427D20—68no—
428D20—61no—
429C4×D5—68no—
430C4×D5—62no—
431C4×D5—62no—
432Dic10—32no—
433Dic10—61no—
434C5×C8—62no—
435#168—62no—
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—102no—
446C22×D4—301no—
447C22×D4—301no—
448C22×D4—302no—
449C22×D4D3×D511yescharacteristic, complemented
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—31no—
459C2×M16—151no—
460#127—54no—
461#127—102no—
462C2×C42—51no—
463#104—154no—
464#104—154no—
465#100—154no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5—82no—
469C2×C3×C5#45312yescomplemented
470C2×C3×C5C2×#12011yescharacteristic
471D15—42no—
472C3×D5—44no—
473C5×D3—42no—
474C23×C3—22no—
475C23×C3—44no—
476C23×C3—41no—
477C23×C3—41no—
478C23×C3—54no—
479C23×C3—102no—
480C23×C3—102no—
481C23×C3—204no—
482C23×C3D4×D511yescharacteristic
483C22×D3—21no—
484C22×D3—108no—
485C22×D3—101no—
486C22×D3—404no—
487C3×D4—22no—
488C3×D4—22no—
489C3×D4—41no—
490C3×D4—41no—
491C3×D4—102no—
492C3×D4—102no—
493C3×D4—102no—
494C3×D4—102no—
495C3×D4—2016no—
496C2×C3×C4—104no—
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—
507#67—108no—
508#67—102no—
509#67—102no—
510C2×Dic3—21no—
511C2×Dic3—108no—
512C2×Dic3—101no—
513D12—21no—
514D12—52no—
515D12—101no—
516D12C2×C22⋊D512yescomplemented
517C4×D3—22no—
518C4×D3—22no—
519C4×D3—102no—
520C4×D3—102no—
521Dic6—21no—
522Dic6—52no—
523Dic6—101no—
524Dic6C2×C22⋊D512yescomplemented
525C3⋊C8—22no—
526C3⋊C8—102no—
527C22×C5—22no—
528C22×C5—44no—
529C22×C5—42no—
530C22×C5—62no—
531C22×C5—82no—
532C22×C5—82no—
533C22×C5—122no—
534C22×C5#93711yescharacteristic
535C22×C5#93711yescharacteristic
536C22×C5C22×#6711yescharacteristic
537C2×D5—24no—
538C2×D5—44no—
539C2×D5—44no—
540C2×D5—62no—
541C2×D5—82no—
542C2×D5—122no—
543C2×D5—248no—
544C4×C5—62no—
545C4×C5#93711yescharacteristic
546C4×C5#93711yescharacteristic
547C4×C5C2×D3×D411yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549Dic5—24no—
550Dic5—62no—
551C24—21no—
552C24—52no—
553C24—302no—
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—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—31no—
574C2×D4—52no—
575C2×D4—52no—
576C2×D4—61no—
577C2×D4—108no—
578C2×D4—101no—
579C2×D4—101no—
580C2×D4—101no—
581C2×D4—101no—
582C2×D4—151no—
583C2×D4—208no—
584C2×D4—304no—
585C2×D4—304no—
586C2×D4—302no—
587C2×D4—304no—
588C2×D4—304no—
589C2×D4—308no—
590C2×D4—308no—
591C2×D4—302no—
592C2×D4—301no—
593C2×D4C2×D3×D512yescomplemented
594C22×C4—61no—
595C22×C4—101no—
596C22×C4—302no—
597C22×C4—301no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—64no—
600SD16—304no—
601D8—64no—
602D8—304no—
603M16—32no—
604M16—61no—
605M16—152no—
606M16—301no—
607C2×C8—61no—
608C2×C8—301no—
609C42—52no—
610C42—101no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—44no—
614C22×C3—42no—
615C22×C3—82no—
616C22×C3—82no—
617C22×C3—104no—
618C22×C3—204no—
619C22×C3—204no—
620C22×C3—402no—
621C22×C3#408311yescharacteristic
622C22×C3#408311yescharacteristic
623C22×C3C2×D4×D511yescharacteristic
624C2×D3—22no—
625C2×D3—42no—
626C2×D3—102no—
627C2×D3—202no—
628C2×D3—408no—
629C3×C4—104no—
630C3×C4#408311yescharacteristic
631C3×C4#408311yescharacteristic
632C3×C4C2×D4×D511yescharacteristic
633C3×C4C22×C22⋊D511yescharacteristic
634Dic3—22no—
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—82no—
639C2×C5—122no—
640C2×C5#507712yescomplemented
641C2×C5C2×#93711yescharacteristic
642D5—44no—
643D5—122no—
644C23—22no—
645C23—44no—
646C23—41no—
647C23—41no—
648C23—54no—
649C23—61no—
650C23—102no—
651C23—102no—
652C23—204no—
653C23—308no—
654C23—301no—
655C23—1204no—
656C23D5×#6711yescharacteristic
657Q8—32no—
658Q8—61no—
659Q8—152no—
660Q8—301no—
661D4—22no—
662D4—22no—
663D4—32no—
664D4—41no—
665D4—41no—
666D4—62no—
667D4—62no—
668D4—61no—
669D4—102no—
670D4—102no—
671D4—102no—
672D4—102no—
673D4—152no—
674D4—2016no—
675D4—308no—
676D4—308no—
677D4—302no—
678D4—302no—
679D4—301no—
680C2×C4—61no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—104no—
684C2×C4—102no—
685C2×C4—308no—
686C2×C4—301no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4D5×#6711yescharacteristic
690C2×C4D3×C22⋊D511yescharacteristic
691C2×C4D3×C22⋊D511yescharacteristic
692C2×C4#679011yescharacteristic
693C2×C4#679011yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—62no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—82no—
700C2×C3—204no—
701C2×C3#6548712yescomplemented
702C2×C3C2×#408311yescharacteristic
703D3—42no—
704D3—202no—
705C5C2×#507711yescharacteristic, complemented, Sylow
706C22—22no—
707C22—44no—
708C22—42no—
709C22—62no—
710C22—82no—
711C22—82no—
712C22—104no—
713C22—122no—
714C22—204no—
715C22—204no—
716C22—302no—
717C22—402no—
718C22—602no—
719C22—1208no—
720C22#9157711yescharacteristic
721C22#9157711yescharacteristic
722C22C2×D5×#6711yescharacteristic
723C4—62no—
724C4—104no—
725C4—302no—
726C4#9157711yescharacteristic
727C4#9157711yescharacteristic
728C4C2×D3×C22⋊D511yescharacteristic
729C4C2×#679011yescharacteristic
730C3C2×#6548711yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—82no—
734C2—122no—
735C2—204no—
736C2—602no—
737C2#1174916312yesdirect product factor
738C2C2×#9157711yescharacteristic
subgroupG/H
centerC22#91577
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5#120
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×#92017C2semidirect
2. C2×#91821C2semidirect
3. C2×C5×#932C2semidirect
4. C2×C3×#4086C2semidirect
5. #11749163C2direct (N × H)
6. C2×#90981C2semidirect
7. C2×#90979C2semidirect
8. C2×#90958C2semidirect
10. C22×C3×C5×D4C22semidirect
19. #92017C22semidirect
26. #91821C22semidirect
28. C2×#6710C22semidirect
31. C5×#932C22semidirect
33. C2×C5×#208C22semidirect
35. C3×#4086C22semidirect
36. C2×C3×C4×Dic5C22semidirect
37. #90981C22semidirect
38. #90979C22semidirect
39. #90958C22semidirect
43. C2×#4086D3semidirect
57. C2×C3×C5×D4C23semidirect
62. #6817D4semidirect
64. C2×D60D4semidirect
66. C2×Dic30D4semidirect
70. C5×#235D4semidirect
72. C2×C5×D12D4semidirect
74. C2×C5×Dic6D4semidirect
100. #6710C23semidirect
105. C5×#208C23semidirect
108. C3×C4×Dic5C23semidirect
112. C2×#932D5semidirect
118. C22×C5×D4C2×D3semidirect
137. #4086C2×D3semidirect
142. C2×C4×Dic5C2×D3semidirect
175. D60C2×D4semidirect
179. Dic30C2×D4semidirect
184. C5×D12C2×D4semidirect
188. C5×Dic6C2×D4semidirect
203. C22×C3×D4C2×D5semidirect
223. #932C2×D5semidirect
227. C2×#208C2×D5semidirect
246. C2×C5×D4C22×D3semidirect
287. C4×Dic5C22×D3semidirect
339. C2×C3×D4C22×D5semidirect
363. #235C22⋊D5semidirect
366. C2×D12C22⋊D5semidirect
370. C2×Dic6C22⋊D5semidirect
380. #208C22×D5semidirect
449. C22×D4D3×D5semidirect
469. C2×C3×C5#453semidirect
516. D12C2×C22⋊D5semidirect
524. Dic6C2×C22⋊D5semidirect
593. C2×D4C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
640. C2×C5#5077semidirect
701. C2×C3#65487semidirect
705. C5C2×#5077semidirect
730. C3C2×#65487semidirect
737. C2#11749163direct (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×#918212
C2×C5×#9322
C2×C3×#40862
#117491632
C2×#909812
C2×#909792
C2×#909582
C2×#654873
C2×#50775