Finite Group Databasebeta

← #14412926

Subgroups — #14412926

Order 1920.

1476 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11757022C211yesmaximal, characteristic
2#11756504C211yesmaximal, characteristic, complemented
3#11754436C211yesmaximal, characteristic, complemented
4C2×C5×#825C211yesmaximal, characteristic, complemented
5C3×#65428C211yesmaximal, characteristic, complemented
6#11748425C211yesmaximal, characteristic, complemented
7C2×#90977C211yesmaximal, characteristic, complemented
8#11748237C214yesmaximal, complemented
9#11748236C214yesmaximal, complemented
10#10610714—31nomaximal, Hall
11C2×#6817C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C2×C3×#709C2211yescharacteristic
14#92049—22no—
15#92019—21no—
16#92018C412yescomplemented
17#92017C412yescomplemented
18#92016C2214yes—
19D3×#709—22no—
20D5×#235—22no—
21#92004C412yescomplemented
22#92001—21no—
23#92000C412yescomplemented
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26#91796—22no—
27M16×D15C2214yescomplemented
28#91790—22no—
29C2×C4×C5×Dic3C2211yescharacteristic, complemented
30C3×#4072C2211yescharacteristic, complemented
31#91556—22no—
32#91428—21no—
33C4×#1200C2212yescomplemented
34#91386C2212yescomplemented
35#91340—21no—
36C5×#825C2212yescomplemented
37C5×#825C2212yescomplemented
38C3×#3957C2214yescomplemented
39#90979C2214yescomplemented
40#90977C2212yescomplemented
41#90977C2212yescomplemented
42#78992—51nomaximal, Hall
43#66283—31no—
44#66079—31no—
45C4×#709—31no—
46C2×C5×#104—31no—
47#65525—31no—
48#65428D311yescharacteristic, complemented
49C2×#3937—31no—
50#65110—34no—
51D5×#104—34no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×#1220D412yes—
54#6817C2×C412yes—
55#6817C2×C412yes—
56#6817D412yes—
57#6817D412yes—
58C2×D60D411yescharacteristic
59C2×C4×D15C2312yes—
60C2×Dic30D411yescharacteristic
61C2×C5×#67—21no—
62C22×C5×Dic3—21no—
63C5×#235—21no—
64C5×#235—21no—
65C5×#235C2×C412yescomplemented
66C5×#235C2312yes—
67C2×C5×D12C2×C411yescharacteristic, complemented
68C2×C4×C5×D3—21no—
69C2×C5×Dic6C2×C411yescharacteristic, complemented
70C2×C3×C22⋊D5—21no—
71C3×#709—21no—
72C3×#709—21no—
73C3×#709C2×C412yescomplemented
74C3×#709C2312yes—
75C2×C3×D20C2×C411yescharacteristic, complemented
76C2×C3×C4×D5—21no—
77C2×C3×Dic10C2×C411yescharacteristic, complemented
78#6790—24no—
79D3×C22⋊D5—24no—
80D5×#67—24no—
81C2×#1200—22no—
82#6782—24no—
83#6780—24no—
84#6779—24no—
85#6777C2×C414yescomplemented
86D3×D20—22no—
87D5×D12—22no—
88C4×D3×D5—24no—
89#6773—22no—
90#6772—22no—
91#6771—24no—
92D15⋊Q8C2×C414yescomplemented
93#6769—22no—
94#6768C2×C414yescomplemented
95D3×Dic10—22no—
96#6766C2×C414yescomplemented
97#6765—22no—
98D5×Dic6—22no—
99C3×C5×M16—21no—
100C3×C5×M16C2312yes—
101C2×C3×C5×C8—21no—
102#6710—21no—
103#6710C2312yes—
104C2×C3⋊#168—21no—
105#6705—24no—
106C8×D15—24no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3C2311yescharacteristic
109C4×C5×Dic3C2311yescharacteristic
110C3×C22⋊Dic5—21no—
111C3×C4⋊Dic5—21no—
112C3×C4×Dic5C2312yes—
113#6669—22no—
114#6667—22no—
115Dic3×Dic5—22no—
116#5964—51no—
117#5745—51no—
118#5522—51no—
119C3×#421—51no—
120C2×#837—51no—
121C2×#825D511yescharacteristic, complemented
122#5005—51no—
123#4821—54no—
124D3×#104—54no—
125C2×C5×#41—31no—
126#4150—32no—
127#4150—61no—
128#4149—32no—
129#4149—61no—
130D5×#41—34no—
131D5×#41—62no—
132#4147—32no—
133#4144—32no—
134#4144—62no—
135C2×#709—31no—
136C2×#709—62no—
137C2×#709C2×D311yescharacteristic
138C2×C5×M16C2×D311yescharacteristic, complemented
139C2×C42×C5—31no—
140C4×C22⋊D5—62no—
141#4072C2×D311yescharacteristic, complemented
142C2×#681—31no—
143#4053—62no—
144D5×M16—34no—
145#4047—62no—
146C4×D20—61no—
147#4018—32no—
148C42×D5—32no—
149C4×Dic10—61no—
150C5×#104—32no—
151C5×#104—32no—
152#3969—34no—
153#3957C2×D314yescomplemented
154#3937—32no—
155#3937—32no—
156#2901—151noSylow
157C23×C3×C5C2×D411yescharacteristic
158C22×D15C2×D412yes—
159C22×C5×D3—21no—
160C22×C3×D5—21no—
161C2×D3×D5—24no—
162C2×C3×C4×C5C22×C411yescharacteristic
163C2×C3×C4×C5C22×C411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2411yescharacteristic
168#1220C22⋊C414yes—
169#1220C22⋊C414yes—
170C2×Dic15C2×D412yes—
171D60C22⋊C412yes—
172D60C22⋊C412yes—
173C4×D15C22×C414yes—
174C4×D15C2×D414yes—
175Dic30C22⋊C412yes—
176Dic30C22⋊C412yes—
177C5×#67—22no—
178C5×#67—22no—
179C2×C5×Dic3—21no—
180C2×C5×Dic3—21no—
181C2×C5×Dic3—21no—
182C2×C5×Dic3—42no—
183C5×D12—21no—
184C5×D12C22×C412yes—
185C4×C5×D3—22no—
186C4×C5×D3—22no—
187C5×Dic6—21no—
188C5×Dic6C22×C412yes—
189C3×C22⋊D5—22no—
190C3×C22⋊D5—22no—
191C2×C3×Dic5—21no—
192C2×C3×Dic5—22no—
193C3×D20—21no—
194C3×D20C22×C412yes—
195C3×C4×D5—22no—
196C3×C4×D5—22no—
197C3×Dic10—21no—
198C3×Dic10C22×C412yes—
199#1204—24no—
200#1203—24no—
201#1202—24no—
202#1201—24no—
203#1200—24no—
204#1200—44no—
205D3×Dic5—24no—
206D5×Dic3—24no—
207C3×C5×C8—22no—
208C3⋊#168—22no—
209C2×C3×#41—51no—
210#1010—52no—
211#1010—101no—
212#1009—52no—
213#1009—101no—
214D3×#41—54no—
215D3×#41—102no—
216#1007—52no—
217#1004—52no—
218#1004—102no—
219C2×#235—51no—
220C2×#235—102no—
221C2×#235C2×D511yescharacteristic
222C2×C3×M16C2×D511yescharacteristic, complemented
223C3×#117—51no—
224C2×C4×Dic3C2×D511yescharacteristic, complemented
225C2×#208—51no—
226#907—102no—
227D3×M16—54no—
228#901—102no—
229#893—101no—
230#887—101no—
231#67⋊C4—102no—
232#872—52no—
233C42×D3—52no—
234C3×#104—54no—
235#837—52no—
236#837—52no—
237#825C2×D512yescomplemented
238#825C2×D512yescomplemented
239#805—54no—
240C5×#41—32no—
241C5×#41—32no—
242C5×#41—61no—
243C5×#41—61no—
244C2×C5×Q8—31no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C22×C4×C5—61no—
248C22×C4×C5—61no—
249C22×C4×C5C22×D311yescharacteristic
250C2×C22⋊D5—21no—
251C2×C22⋊D5—32no—
252C2×C22⋊D5—64no—
253#713—34no—
254#713—62no—
255Q8×D5—34no—
256Q8×D5—62no—
257#711—34no—
258#711—62no—
259#711—64no—
260#711—64no—
261D4×D5—34no—
262D4×D5—62no—
263D4×D5—64no—
264D4×D5—64no—
265#709—21no—
266#709—21no—
267#709—32no—
268#709—32no—
269#709—32no—
270#709—32no—
271#709—62no—
272#709—62no—
273#709—64no—
274#709—64no—
275#709C4×D312yescomplemented
276#709C22×D312yes—
277C2×D20—31no—
278C2×D20—62no—
279C2×D20C4×D311yescharacteristic, complemented
280C2×C4×D5—21no—
281C2×C4×D5—32no—
282C2×C4×D5—64no—
283C2×C4×D5—62no—
284C2×Dic10—31no—
285C2×Dic10—62no—
286C2×Dic10C4×D311yescharacteristic, complemented
287C5×M16—21no—
288C5×M16C22×D312yes—
289C2×C5×C8—21no—
290C42×C5—31no—
291C42×C5—31no—
292C42×C5—61no—
293C22⋊Dic5—21no—
294#685—62no—
295C4⋊Dic5—21no—
296#683—62no—
297C4×Dic5—62no—
298C4×Dic5C22×D312yes—
299#681—32no—
300#681—61no—
301C2×#168—61no—
302#676—64no—
303C8×D5—64no—
304#585—151no—
305#568—151no—
306C4×#41—151no—
307#421—51no—
308#421—154no—
309#421—151no—
310C2×#104—31no—
311C2×#104—154no—
312C2×#104—151no—
313C22×C3×C5—41no—
314C22×C3×C5C2×C22⋊C411yescharacteristic
315C22×C3×C5C2×C22⋊C411yescharacteristic
316C22×C3×C5C22×D411yescharacteristic
317C2×D15—42no—
318C2×D15C2×C22⋊C414yes—
319C2×C5×D3—22no—
320C2×C5×D3—81no—
321C2×C3×D5—22no—
322C2×C3×D5—81no—
323D3×D5—84no—
324C3×C4×C5C2×C22⋊C411yescharacteristic
325C3×C4×C5C2×C22⋊C411yescharacteristic
326C3×C4×C5C23×C411yescharacteristic
327C3×C4×C5C22×D411yescharacteristic
328Dic15C2×C22⋊C414yes—
329C3×Dic5—22no—
330C3×Dic5—42no—
331C5×Dic3—22no—
332C5×Dic3—22no—
333C5×Dic3—41no—
334C3×#41—52no—
335C3×#41—52no—
336C3×#41—101no—
337C3×#41—101no—
338C2×C3×Q8—51no—
339C2×C3×D4—51no—
340C2×C3×D4—101no—
341C22×C3×C4—101no—
342C22×C3×C4C22×D511yescharacteristic
343C2×#67—21no—
344C2×#67—52no—
345C2×#67—104no—
346C22×Dic3—21no—
347#239—54no—
348#239—102no—
349D3×Q8—54no—
350D3×Q8—102no—
351#237—54no—
352#237—102no—
353#237—104no—
354#237—104no—
355D3×D4—54no—
356D3×D4—102no—
357D3×D4—104no—
358D3×D4—104no—
359#235—21no—
360#235—21no—
361#235—52no—
362#235—52no—
363#235—52no—
364#235—52no—
365#235—102no—
366#235—102no—
367#235—104no—
368#235—104no—
369#235C4×D512yescomplemented
370#235C22×D512yes—
371C2×D12—51no—
372C2×D12—102no—
373C2×D12C4×D511yescharacteristic, complemented
374C2×C4×D3—21no—
375C2×C4×D3—52no—
376C2×C4×D3—104no—
377C2×C4×D3—102no—
378C2×Dic6—51no—
379C2×Dic6—102no—
380C2×Dic6C4×D511yescharacteristic, complemented
381C3×M16—21no—
382C3×M16C22×D512yes—
383C2×C3×C8—21no—
384C3×C4⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C42—52no—
387(C2×D3)⋊C4—102no—
388Dic3⋊C4—102no—
389C4×Dic3—21no—
390C4×Dic3—102no—
391C4×Dic3C22×D511yescharacteristic
392C4×Dic3C22×D511yescharacteristic
393#208—52no—
394#208—101no—
395C2×C3⋊C8—101no—
396ΓL(1,𝔽25)—104no—
397D3×C8—104no—
398C23×C5—61no—
399C23×C5D3×D411yescharacteristic
400C22×D5—21no—
401C22×D5—32no—
402C22×D5—64no—
403C5×Q8—32no—
404C5×Q8—61no—
405C5×D4—32no—
406C5×D4—62no—
407C5×D4—62no—
408C5×D4—61no—
409C2×C4×C5—61no—
410C2×C4×C5—61no—
411C2×C4×C5—62no—
412C2×C4×C5—62no—
413C2×C4×C5—61no—
414C2×C4×C5—122no—
415C2×C4×C5C2×C4×D311yescharacteristic
416C2×C4×C5C2×C4×D311yescharacteristic
417C2×C4×C5D3×D411yescharacteristic
418C2×C4×C5D3×D411yescharacteristic
419C2×C4×C5D3×D411yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C22⋊D5—22no—
422C22⋊D5—22no—
423C22⋊D5—34no—
424C22⋊D5—34no—
425C22⋊D5—64no—
426C22⋊D5—64no—
427C2×Dic5—21no—
428C2×Dic5—22no—
429C2×Dic5—32no—
430C2×Dic5—64no—
431D20—21no—
432D20—32no—
433D20—32no—
434D20—64no—
435D20C2×C4×D312yes—
436C4×D5—22no—
437C4×D5—22no—
438C4×D5—34no—
439C4×D5—34no—
440C4×D5—64no—
441C4×D5—64no—
442C4×D5—124no—
443Dic10—21no—
444Dic10—32no—
445Dic10—32no—
446Dic10—64no—
447Dic10C2×C4×D312yes—
448C5×C8—22no—
449#168—62no—
4502−1+4—152no—
4512−1+4—152no—
4522−1+4—301no—
453H(5,𝔽2)—152no—
454H(5,𝔽2)—152no—
455H(5,𝔽2)—302no—
456H(5,𝔽2)—301no—
457C2×#41—31no—
458C2×#41—51no—
459C2×#41—151no—
460C2×#41—154no—
461C2×#41—302no—
462C2×#41—302no—
463#131—302no—
464#131—302no—
465C2×M16—151no—
466C2×M16—154no—
467C2×M16D3×D511yescharacteristic, complemented
468C4×Q8—301no—
469C4×D4—301no—
470C4×D4—302no—
471#117—51no—
472#117—152no—
473C2×C42—31no—
474C2×C42—152no—
475#104—32no—
476#104—32no—
477#104—54no—
478#104—152no—
479#104—152no—
480#104—154no—
481C2×C3×C5—21no—
482C2×C3×C5—21no—
483C2×C3×C5—21no—
484C2×C3×C5C22×C22⋊C411yescharacteristic
485D15—24no—
486C3×D5—42no—
487C5×D3—42no—
488C23×C3—101no—
489C23×C3D4×D511yescharacteristic
490C22×D3—21no—
491C22×D3—52no—
492C22×D3—104no—
493C3×Q8—52no—
494C3×Q8—101no—
495C3×D4—52no—
496C3×D4—102no—
497C3×D4—102no—
498C3×D4—101no—
499C2×C3×C4—101no—
500C2×C3×C4—102no—
501C2×C3×C4—102no—
502C2×C3×C4—102no—
503C2×C3×C4C2×C4×D511yescharacteristic
504C2×C3×C4C2×C4×D511yescharacteristic
505C2×C3×C4D4×D511yescharacteristic
506C2×C3×C4D4×D511yescharacteristic
507C2×C3×C4D4×D511yescharacteristic
508C2×C3×C4C23×D511yescharacteristic
509#67—22no—
510#67—22no—
511#67—54no—
512#67—54no—
513#67—104no—
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—42no—
519C2×Dic3—52no—
520C2×Dic3—104no—
521D12—21no—
522D12—52no—
523D12—52no—
524D12—104no—
525D12C2×C4×D512yes—
526C4×D3—22no—
527C4×D3—22no—
528C4×D3—54no—
529C4×D3—54no—
530C4×D3—104no—
531C4×D3—104no—
532C4×D3—204no—
533Dic6—21no—
534Dic6—52no—
535Dic6—52no—
536Dic6—104no—
537Dic6C2×C4×D512yes—
538C3×C8—22no—
539C3⋊C8—102no—
540C22×C5—41no—
541C22×C5—62no—
542C22×C5—241no—
543C22×C5D3×C22⋊C411yescharacteristic
544C22×C5D3×C22⋊C411yescharacteristic
545C22×C5C2×D3×D411yescharacteristic
546C2×D5—22no—
547C2×D5—34no—
548C2×D5—81no—
549C2×D5—122no—
550C2×D5—244no—
551C4×C5—62no—
552C4×C5—62no—
553C4×C5—121no—
554C4×C5D3×C22⋊C411yescharacteristic
555C4×C5D3×C22⋊C411yescharacteristic
556C4×C5C22×C4×D311yescharacteristic
557C4×C5C2×D3×D411yescharacteristic
558Dic5—22no—
559Dic5—34no—
560Dic5—42no—
561#41—32no—
562#41—32no—
563#41—52no—
564#41—52no—
565#41—61no—
566#41—61no—
567#41—101no—
568#41—101no—
569#41—152no—
570#41—152no—
571#41—152no—
572#41—152no—
573#41—154no—
574#41—154no—
575#41—304no—
576#41—304no—
577#41—302no—
578#41—302no—
579#41—304no—
580#41—302no—
581#41—302no—
582#41—304no—
583C2×Q8—31no—
584C2×Q8—51no—
585C2×Q8—151no—
586C2×Q8—154no—
587C2×Q8—302no—
588C2×Q8—302no—
589C2×D4—31no—
590C2×D4—51no—
591C2×D4—61no—
592C2×D4—101no—
593C2×D4—154no—
594C2×D4—152no—
595C2×D4—151no—
596C2×D4—302no—
597C2×D4—302no—
598C2×D4—304no—
599C2×D4—304no—
600C2×D4—304no—
601C22×C4—61no—
602C22×C4—61no—
603C22×C4—101no—
604C22×C4—152no—
605C22×C4—304no—
606C22×C4—302no—
607C22×C4C2×D3×D511yescharacteristic
608M16—21no—
609M16—152no—
610M16—304no—
611M16—301no—
612M16C2×D3×D512yes—
613C2×C8—21no—
614C2×C8—304no—
615C2×C8—301no—
616C4⋊C4—101no—
617C4⋊C4—302no—
618C22⋊C4—101no—
619C22⋊C4—302no—
620C42—31no—
621C42—31no—
622C42—52no—
623C42—61no—
624C42—302no—
625C3×C5#290111yescharacteristic, complemented, Hall
626C22×C3—41no—
627C22×C3—102no—
628C22×C3—401no—
629C22×C3D5×C22⋊C411yescharacteristic
630C22×C3D5×C22⋊C411yescharacteristic
631C22×C3C2×D4×D511yescharacteristic
632C2×D3—22no—
633C2×D3—54no—
634C2×D3—81no—
635C2×D3—202no—
636C2×D3—404no—
637C3×C4—102no—
638C3×C4—202no—
639C3×C4D5×C22⋊C411yescharacteristic
640C3×C4D5×C22⋊C411yescharacteristic
641C3×C4C22×C4×D511yescharacteristic
642C3×C4C2×D4×D511yescharacteristic
643Dic3—22no—
644Dic3—22no—
645Dic3—41no—
646Dic3—54no—
647C2×C5—21no—
648C2×C5—21no—
649C2×C5—21no—
650C2×C5—122no—
651C2×C5C2×D3×C22⋊C411yescharacteristic
652D5—42no—
653D5—64no—
654C23—61no—
655C23—101no—
656C23—152no—
657C23—304no—
658C23#677711yescharacteristic
659Q8—32no—
660Q8—52no—
661Q8—61no—
662Q8—101no—
663Q8—152no—
664Q8—152no—
665Q8—304no—
666D4—32no—
667D4—52no—
668D4—62no—
669D4—62no—
670D4—61no—
671D4—102no—
672D4—102no—
673D4—101no—
674D4—154no—
675D4—154no—
676D4—152no—
677D4—152no—
678D4—304no—
679D4—304no—
680D4—304no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—61no—
686C2×C4—101no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—122no—
691C2×C4—152no—
692C2×C4—154no—
693C2×C4—154no—
694C2×C4—304no—
695C2×C4—304no—
696C2×C4—304no—
697C2×C4—604no—
698C2×C4C4×D3×D511yescharacteristic
699C2×C4C4×D3×D511yescharacteristic
700C2×C4#677711yescharacteristic
701C2×C4#679011yescharacteristic
702C2×C4#679011yescharacteristic
703C2×C4C22×D3×D511yescharacteristic
704C8—22no—
705C8—302no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—202no—
710C2×C3C2×D5×C22⋊C411yescharacteristic
711D3—42no—
712D3—104no—
713C5#7899211yescharacteristic, complemented, Sylow
714C22—41no—
715C22—62no—
716C22—102no—
717C22—154no—
718C22—241no—
719C22—401no—
720C22—602no—
721C22—1204no—
722C22#9147311yescharacteristic
723C22#9147311yescharacteristic
724C22C2×#677711yescharacteristic
725C4—62no—
726C4—62no—
727C4—102no—
728C4—121no—
729C4—154no—
730C4—202no—
731C4#9147311yescharacteristic
732C4#9147311yescharacteristic
733C4C2×C4×D3×D511yescharacteristic
734C4C2×#679011yescharacteristic
735C3#1061071411yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—122no—
740C2—202no—
741C2—304no—
742C2C2×#9147311yescharacteristic
subgroupG/H
centerC4C2×#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC2×C3×C5C22×C22⋊C4
prime radical#11757022C2
cosocleC2×C3×C4×C5C24
hypercenterC2×M16D3×D5
hypocenterC3×C5#2901
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
2. #11756504C2semidirect
3. #11754436C2semidirect
4. C2×C5×#825C2semidirect
5. C3×#65428C2semidirect
6. #11748425C2semidirect
7. C2×#90977C2semidirect
8. #11748237C2semidirect
9. #11748236C2semidirect
16. #92018C4semidirect
17. #92017C4semidirect
21. #92004C4semidirect
23. #92000C4semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×#6710C22semidirect
27. M16×D15C22semidirect
29. C2×C4×C5×Dic3C22semidirect
30. C3×#4072C22semidirect
33. C4×#1200C22semidirect
34. #91386C22semidirect
36. C5×#825C22semidirect
37. C5×#825C22semidirect
38. C3×#3957C22semidirect
39. #90979C22semidirect
40. #90977C22semidirect
41. #90977C22semidirect
48. #65428D3semidirect
65. C5×#235C2×C4semidirect
67. C2×C5×D12C2×C4semidirect
69. C2×C5×Dic6C2×C4semidirect
73. C3×#709C2×C4semidirect
75. C2×C3×D20C2×C4semidirect
77. C2×C3×Dic10C2×C4semidirect
85. #6777C2×C4semidirect
92. D15⋊Q8C2×C4semidirect
94. #6768C2×C4semidirect
96. #6766C2×C4semidirect
121. C2×#825D5semidirect
138. C2×C5×M16C2×D3semidirect
141. #4072C2×D3semidirect
153. #3957C2×D3semidirect
222. C2×C3×M16C2×D5semidirect
224. C2×C4×Dic3C2×D5semidirect
237. #825C2×D5semidirect
238. #825C2×D5semidirect
275. #709C4×D3semidirect
279. C2×D20C4×D3semidirect
286. C2×Dic10C4×D3semidirect
369. #235C4×D5semidirect
373. C2×D12C4×D5semidirect
380. C2×Dic6C4×D5semidirect
467. C2×M16D3×D5semidirect
625. C3×C5#2901semidirect
713. C5#78992semidirect
735. C3#10610714semidirect

Maximal subgroups

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

subgroupindex
#117570222
#117565042
#117544362
C2×C5×#8252
C3×#654282
#117484252
C2×#909772
#117482372
#117482362
#106107143
#789925