Finite Group Databasebeta

← C2×#11749165 #14424989

Subgroups — C2×#11749165 #14424989

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×#91821C211yesmaximal, characteristic, complemented
3C2×C5×#940C211yesmaximal, characteristic, complemented
4C2×C3×#4078C211yesmaximal, characteristic, complemented
5#11749165C218yesmaximal, direct product factor
6C2×#90980C211yesmaximal, characteristic, complemented
7C2×#90977C211yesmaximal, characteristic, complemented
8C2×#90959C211yesmaximal, characteristic, complemented
9C2×#65366—31nomaximal, Hall
10C22×C3×C5×D4C2211yescharacteristic, complemented
11C2×#6817C2211yescharacteristic
12C22×C5×#67—22no—
13C22×C5×D12C2211yescharacteristic
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×#6716—21no—
25#91821—22no—
26#91821C2214yescomplemented
27C2×#6715—21no—
28C2×#6710C2211yescharacteristic, complemented
29C5×#940—22no—
30C5×#940C2214yescomplemented
31C2×C4×C5×Dic3C2211yescharacteristic, complemented
32C2×C3×#687—21no—
33C3×#4078—22no—
34C3×#4078C2214yescomplemented
35C2×C3×#686—21no—
36C2×C3×#681C2211yescharacteristic, complemented
37#90980C2214yescomplemented
38#90977C2214yescomplemented
39#90959C2214yescomplemented
40C2×#5198—51nomaximal, Hall
41C2×#4144—31no—
42C2×C5×#127—31no—
43C2×#4078—31no—
44C2×#4078D311yescharacteristic, complemented
45C2×#3965—31no—
46#65366—38no—
47C2×#3937—31no—
48C2×#3937—31no—
49C24×C3×C5—21no—
50C23×C5×D3D412yes—
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—28no—
68C2×C5×#67—48no—
69C22×C5×Dic3—21no—
70C2×C5×D12—21no—
71C2×C5×D12—21no—
72C2×C5×D12—21no—
73C2×C5×D12—21no—
74C2×C5×D12D412yes—
75C2×C5×D12C2312yes—
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—
97#6716—24no—
98#6715—24no—
99#6710—21no—
100#6710C2312yescomplemented
101C2×C3⋊#168—21no—
102C4×C5×Dic3—21no—
103C4×C5×Dic3C2312yescomplemented
104C3×#687—24no—
105C3×#686—24no—
106C3×#681—21no—
107C3×#681C2312yescomplemented
108C2×C3×#168—21no—
109C2×#1009—51no—
110C2×C3×AGL(1,ℤ/8)—51no—
111C2×#940D511yescharacteristic, complemented
112C2×#932—51no—
113C2×#837—51no—
114#5198—58no—
115C2×#825—51no—
116C2×#823—51no—
117C22×C5×D4—31no—
118C22×C5×D4—62no—
119C22×C5×D4C2×D311yescharacteristic, complemented
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×C5—31no—
134C2×#687—21no—
135C2×#687—61no—
136#4078—22no—
137#4078—34no—
138#4078—62no—
139#4078C2×D314yescomplemented
140C2×#686—21no—
141C2×#686—61no—
142C2×#681—31no—
143C2×#681C2×D311yescharacteristic, complemented
144#3965—34no—
145#3937—34no—
146#3937—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—22no—
155C22×C5×D3—22no—
156C22×C5×D3—44no—
157C22×C5×D3C2×D414yes—
158C22×C3×D5—21no—
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—416no—
181C2×C5×Dic3—24no—
182C2×C5×Dic3—22no—
183C5×D12—22no—
184C5×D12—22no—
185C5×D12—22no—
186C5×D12—22no—
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—
202C22×C3×D4C2×D511yescharacteristic, complemented
203C22×#67—22no—
204#1009—54no—
205#1009—102no—
206#1009—102no—
207#1009—102no—
208C2×#239—101no—
209C2×D3×D4—101no—
210C2×D3×D4—102no—
211C2×#235—51no—
212C2×#235—101no—
213C22×D12—101no—
214C22×D12C2×D511yescharacteristic
215C3×AGL(1,ℤ/8)—54no—
216C3×AGL(1,ℤ/8)—102no—
217C2×C3×SD16—101no—
218C2×C3×D8—101no—
219C2×C3×M16—51no—
220#940—22no—
221#940C2×D514yescomplemented
222C2×#214—101no—
223#932—54no—
224#932—102no—
225C2×#213—101no—
226C2×C4×Dic3C2×D511yescharacteristic, complemented
227C2×#208—51no—
228#837—54no—
229#825—54no—
230#823—54no—
231C24×C5—21no—
232C24×C5—32no—
233C23×D5—62no—
234C2×C5×D4—21no—
235C2×C5×D4—21no—
236C2×C5×D4—21no—
237C2×C5×D4—21no—
238C2×C5×D4—21no—
239C2×C5×D4—32no—
240C2×C5×D4—32no—
241C2×C5×D4—68no—
242C2×C5×D4—61no—
243C2×C5×D4—61no—
244C2×C5×D4—61no—
245C2×C5×D4—61no—
246C2×C5×D4—128no—
247C2×C5×D4C22×D312yescomplemented
248C22×C4×C5—61no—
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#709#6712yescomplemented
272#709C22×D312yes—
273C2×D20—31no—
274C2×D20#6711yescharacteristic, complemented
275C2×C4×D5—21no—
276C2×C4×D5—61no—
277C2×Dic10—31no—
278C2×Dic10#6711yescharacteristic, complemented
279C42×C5—32no—
280C42×C5—61no—
281#687—24no—
282#687—64no—
283#686—24no—
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)—51no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—31no—
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—24no—
310C2×C5×D3—44no—
311C2×C5×D3—44no—
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
320Dic15—22no—
321C3×Dic5—22no—
322C5×Dic3—24no—
323C24×C3—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—21no—
332C2×C3×D4—21no—
333C2×C3×D4—21no—
334C2×C3×D4—21no—
335C2×C3×D4—21no—
336C2×C3×D4—51no—
337C2×C3×D4—101no—
338C2×C3×D4C22×D512yescomplemented
339C22×C3×C4—101no—
340C22×C3×C4C22×D511yescharacteristic
341C2×#67—28no—
342C2×#67—48no—
343C2×#67—102no—
344C2×#67—101no—
345C22×Dic3—21no—
346#239—104no—
347#239—104no—
348D3×D4—104no—
349D3×D4—104no—
350D3×D4—108no—
351D3×D4—108no—
352#235—52no—
353#235—52no—
354#235—104no—
355#235—104no—
356#235—101no—
357#235—101no—
358C2×D12—21no—
359C2×D12—21no—
360C2×D12—21no—
361C2×D12—21no—
362C2×D12—51no—
363C2×D12—104no—
364C2×D12—104no—
365C2×D12—102no—
366C2×D12C22⋊D512yes—
367C2×D12C22×D512yes—
368C2×C4×D3—102no—
369C2×C4×D3—101no—
370C2×Dic6—51no—
371C3×SD16—104no—
372C3×D8—104no—
373C3×M16—52no—
374C3×M16—101no—
375C2×C3×C8—101no—
376#214—104no—
377#213—104no—
378C4×Dic3—21no—
379C4×Dic3C22×D512yescomplemented
380#208—52no—
381#208—101no—
382C2×C3⋊C8—101no—
383C23×C5—22no—
384C23×C5—34no—
385C23×C5—44no—
386C23×C5—41no—
387C23×C5—41no—
388C23×C5—62no—
389C23×C5—62no—
390C23×C5—124no—
391C23×C5D3×D411yescharacteristic
392C22×D5—21no—
393C22×D5—68no—
394C22×D5—61no—
395C22×D5—244no—
396C5×D4—22no—
397C5×D4—22no—
398C5×D4—41no—
399C5×D4—41no—
400C5×D4—62no—
401C5×D4—62no—
402C5×D4—62no—
403C5×D4—62no—
404C5×D4—1216no—
405C2×C4×C5—64no—
406C2×C4×C5—62no—
407C2×C4×C5D3×D411yescharacteristic
408C2×C4×C5D3×D411yescharacteristic
409C2×C4×C5D3×D411yescharacteristic
410C2×C4×C5C2×#6711yescharacteristic
411C2×C4×C5C2×#6711yescharacteristic
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×#6712yescomplemented
426C4×D5—22no—
427C4×D5—22no—
428C4×D5—62no—
429C4×D5—62no—
430Dic10—21no—
431Dic10—32no—
432Dic10—61no—
433Dic10C2×#6712yescomplemented
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—62no—
446C22×D4—301no—
447C22×D4—301no—
448C22×D4—302no—
449C22×D4D3×D511yescharacteristic, complemented
450AGL(1,ℤ/8)—54no—
451AGL(1,ℤ/8)—102no—
452AGL(1,ℤ/8)—154no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—101no—
455C2×SD16—301no—
456C2×D8—101no—
457C2×D8—301no—
458C2×M16—51no—
459C2×M16—151no—
460#127—34no—
461#127—62no—
462C2×C42—31no—
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—42no—
473C5×D3—44no—
474C23×C3—22no—
475C23×C3—44no—
476C23×C3—41no—
477C23×C3—41no—
478C23×C3—101no—
479C23×C3C2×C22⋊D511yescharacteristic
480C22×D3—22no—
481C22×D3—22no—
482C22×D3—44no—
483C22×D3—108no—
484C22×D3—101no—
485C22×D3—404no—
486C22×D3C2×C22⋊D514yes—
487C3×Q8—52no—
488C3×Q8—101no—
489C3×D4—22no—
490C3×D4—22no—
491C3×D4—41no—
492C3×D4—41no—
493C3×D4—52no—
494C3×D4—102no—
495C3×D4—102no—
496C3×D4—101no—
497C2×C3×C4—101no—
498C2×C3×C4—102no—
499C2×C3×C4—102no—
500C2×C3×C4D4×D511yescharacteristic
501C2×C3×C4D4×D511yescharacteristic
502C2×C3×C4D4×D511yescharacteristic
503C2×C3×C4D4×D511yescharacteristic
504C2×C3×C4C2×C22⋊D511yescharacteristic
505C2×C3×C4C23×D511yescharacteristic
506#67—416no—
507#67—108no—
508#67—102no—
509#67—102no—
510C2×Dic3—24no—
511C2×Dic3—22no—
512C2×Dic3—101no—
513D12—22no—
514D12—22no—
515D12—22no—
516D12—22no—
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—44no—
529C22×C5—42no—
530C22×C5—64no—
531C22×C5—82no—
532C22×C5—82no—
533C22×C5—124no—
534C22×C5—124no—
535C22×C5—242no—
536C22×C5#93711yescharacteristic
537C22×C5#93711yescharacteristic
538C22×C5C2×D3×D411yescharacteristic
539C2×D5—22no—
540C2×D5—42no—
541C2×D5—62no—
542C2×D5—122no—
543C2×D5—248no—
544C4×C5—64no—
545C4×C5#93711yescharacteristic
546C4×C5#93711yescharacteristic
547C4×C5C2×D3×D411yescharacteristic
548C4×C5C22×#6711yescharacteristic
549Dic5—22no—
550Dic5—62no—
551C24—21no—
552C24—32no—
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—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—32no—
574C2×D4—32no—
575C2×D4—51no—
576C2×D4—68no—
577C2×D4—61no—
578C2×D4—61no—
579C2×D4—61no—
580C2×D4—61no—
581C2×D4—101no—
582C2×D4—128no—
583C2×D4—151no—
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—104no—
600SD16—304no—
601D8—104no—
602D8—304no—
603M16—52no—
604M16—101no—
605M16—152no—
606M16—301no—
607C2×C8—101no—
608C2×C8—301no—
609C42—32no—
610C42—61no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—44no—
614C22×C3—42no—
615C22×C3—82no—
616C22×C3—82no—
617C22×C3—102no—
618C22×C3—202no—
619C22×C3#408311yescharacteristic
620C22×C3#408311yescharacteristic
621C22×C3C22×C22⋊D511yescharacteristic
622C2×D3—24no—
623C2×D3—44no—
624C2×D3—44no—
625C2×D3—82no—
626C2×D3—102no—
627C2×D3—202no—
628C2×D3—408no—
629C3×C4—102no—
630C3×C4#408311yescharacteristic
631C3×C4#408311yescharacteristic
632C3×C4C2×D4×D511yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634Dic3—24no—
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—82no—
639C2×C5—124no—
640C2×C5#519812yescomplemented
641C2×C5C2×#93711yescharacteristic
642D5—42no—
643D5—122no—
644C23—22no—
645C23—34no—
646C23—44no—
647C23—41no—
648C23—41no—
649C23—62no—
650C23—62no—
651C23—101no—
652C23—124no—
653C23—308no—
654C23—301no—
655C23—1204no—
656C23D3×C22⋊D511yescharacteristic
657Q8—52no—
658Q8—101no—
659Q8—152no—
660Q8—301no—
661D4—22no—
662D4—22no—
663D4—41no—
664D4—41no—
665D4—52no—
666D4—62no—
667D4—62no—
668D4—62no—
669D4—62no—
670D4—102no—
671D4—102no—
672D4—101no—
673D4—1216no—
674D4—152no—
675D4—308no—
676D4—308no—
677D4—302no—
678D4—302no—
679D4—301no—
680C2×C4—64no—
681C2×C4—62no—
682C2×C4—101no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—308no—
686C2×C4—301no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4D5×#6711yescharacteristic
690C2×C4D5×#6711yescharacteristic
691C2×C4D3×C22⋊D511yescharacteristic
692C2×C4#679011yescharacteristic
693C2×C4#679011yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—102no—
696C8—302no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—82no—
700C2×C3—202no—
701C2×C3#6536612yescomplemented
702C2×C3C2×#408311yescharacteristic
703D3—44no—
704D3—202no—
705C5C2×#519811yescharacteristic, complemented, Sylow
706C22—22no—
707C22—44no—
708C22—42no—
709C22—64no—
710C22—82no—
711C22—82no—
712C22—102no—
713C22—124no—
714C22—124no—
715C22—202no—
716C22—242no—
717C22—302no—
718C22—602no—
719C22—1208no—
720C22#9157711yescharacteristic
721C22#9157711yescharacteristic
722C22C2×D3×C22⋊D511yescharacteristic
723C4—64no—
724C4—102no—
725C4—302no—
726C4#9157711yescharacteristic
727C4#9157711yescharacteristic
728C4C2×D5×#6711yescharacteristic
729C4C2×#679011yescharacteristic
730C3C2×#6536611yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—82no—
734C2—124no—
735C2—202no—
736C2—602no—
737C2#1174916512yesdirect 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×#92018C2semidirect
2. C2×#91821C2semidirect
3. C2×C5×#940C2semidirect
4. C2×C3×#4078C2semidirect
5. #11749165C2direct (N × H)
6. C2×#90980C2semidirect
7. C2×#90977C2semidirect
8. C2×#90959C2semidirect
10. C22×C3×C5×D4C22semidirect
19. #92018C22semidirect
26. #91821C22semidirect
28. C2×#6710C22semidirect
30. C5×#940C22semidirect
31. C2×C4×C5×Dic3C22semidirect
34. C3×#4078C22semidirect
36. C2×C3×#681C22semidirect
37. #90980C22semidirect
38. #90977C22semidirect
39. #90959C22semidirect
44. C2×#4078D3semidirect
57. C2×C3×C5×D4C23semidirect
62. #6817D4semidirect
64. C2×D60D4semidirect
66. C2×Dic30D4semidirect
79. C3×#709D4semidirect
81. C2×C3×D20D4semidirect
83. C2×C3×Dic10D4semidirect
100. #6710C23semidirect
103. C4×C5×Dic3C23semidirect
107. C3×#681C23semidirect
111. C2×#940D5semidirect
119. C22×C5×D4C2×D3semidirect
139. #4078C2×D3semidirect
143. C2×#681C2×D3semidirect
175. D60C2×D4semidirect
179. Dic30C2×D4semidirect
191. C3×D20C2×D4semidirect
195. C3×Dic10C2×D4semidirect
202. C22×C3×D4C2×D5semidirect
221. #940C2×D5semidirect
226. C2×C4×Dic3C2×D5semidirect
247. C2×C5×D4C22×D3semidirect
271. #709#67semidirect
274. C2×D20#67semidirect
278. C2×Dic10#67semidirect
288. #681C22×D3semidirect
338. C2×C3×D4C22×D5semidirect
379. C4×Dic3C22×D5semidirect
425. D20C2×#67semidirect
433. Dic10C2×#67semidirect
449. C22×D4D3×D5semidirect
469. C2×C3×C5#453semidirect
593. C2×D4C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
640. C2×C5#5198semidirect
701. C2×C3#65366semidirect
705. C5C2×#5198semidirect
730. C3C2×#65366semidirect
737. C2#11749165direct (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×#918212
C2×C5×#9402
C2×C3×#40782
#117491652
C2×#909802
C2×#909772
C2×#909592
C2×#653663
C2×#51985