Finite Group Databasebeta

← #14412942

Subgroups — #14412942

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
2C5×#5522C211yesmaximal, characteristic, complemented
3#11754125C211yesmaximal, characteristic, complemented
4#11751106C211yesmaximal, characteristic, complemented
5C3×#65294C211yesmaximal, characteristic, complemented
6C2×#90980C211yesmaximal, characteristic, complemented
7C2×#90977C211yesmaximal, characteristic, complemented
8#11747111C214yesmaximal, complemented
9D3×#3937C214yesmaximal, complemented
10#10614267—31nomaximal, Hall
11C2×#6817C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C2×C3×#709C2211yescharacteristic
14#92049—22no—
15#92019C412yescomplemented
16#92018—21no—
17#92017C412yescomplemented
18#92016—22no—
19D3×#709C2214yes—
20D5×#235—22no—
21#92004C412yescomplemented
22#92001C412yescomplemented
23#92000—21no—
24C3×C5×#117C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C2×C4×C5×Dic3C2211yescharacteristic, complemented
27C5×#893—21no—
28C5×#887—21no—
29C5×#67⋊C4—22no—
30C5×#872C2212yescomplemented
31C42×C5×D3C2212yescomplemented
32C2×C3×#681C2211yescharacteristic, complemented
33#91288—22no—
34D3×#681C2214yescomplemented
35#91286—22no—
36#91089C2214yescomplemented
37C3×#3937C2214yescomplemented
38#90980C2212yescomplemented
39#90980C2212yescomplemented
40#90977C2212yescomplemented
41#90977C2212yescomplemented
42#78992—51nomaximal, Hall
43#66283—31no—
44C4×C5×#41—31no—
45#66153—31no—
46#65294—34no—
47#65294—31no—
48#65294D311yescharacteristic, complemented
49C2×#3937—31no—
50C2×#3937—34no—
51C2×#3937—31no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×#1220—21no—
54#6817—21no—
55#6817—21no—
56#6817C2×C412yescomplemented
57#6817C2312yes—
58C2×D60C2×C411yescharacteristic, complemented
59C2×C4×D15—21no—
60C2×Dic30C2×C411yescharacteristic, complemented
61C2×C5×#67D412yes—
62C22×C5×Dic3—21no—
63C5×#235C2×C412yes—
64C5×#235C2×C412yes—
65C5×#235D412yes—
66C5×#235D412yes—
67C2×C5×D12D411yescharacteristic
68C2×C4×C5×D3—22no—
69C2×C4×C5×D3C2312yes—
70C2×C5×Dic6D411yescharacteristic
71C2×C3×C22⋊D5—21no—
72C3×#709—21no—
73C3×#709—21no—
74C3×#709C2×C412yescomplemented
75C3×#709C2312yes—
76C2×C3×D20C2×C411yescharacteristic, complemented
77C2×C3×C4×D5—21no—
78C2×C3×Dic10C2×C411yescharacteristic, complemented
79#6790—24no—
80D3×C22⋊D5—24no—
81D5×#67—24no—
82#6782—24no—
83#6780—24no—
84#6779—24no—
85#6777—22no—
86D3×D20C2×C414yescomplemented
87D5×D12—22no—
88C4×D3×D5—24no—
89#6773—22no—
90#6772—22no—
91#6771—24no—
92D15⋊Q8—22no—
93#6769C2×C414yescomplemented
94#6768—22no—
95D3×Dic10C2×C414yescomplemented
96#6766—22no—
97#6765C2×C414yescomplemented
98D5×Dic6—22no—
99C3×C5×C4⋊C4—21no—
100C3×C5×C22⋊C4—21no—
101C3×C42×C5C2312yes—
102#6710—21no—
103#6710C2312yes—
104C2×C3⋊#168—21no—
105C5×(C2×D3)⋊C4—22no—
106C5×Dic3⋊C4—22no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3—22no—
109C4×C5×Dic3C2311yescharacteristic
110C4×C5×Dic3C2311yescharacteristic
111C3×#681—21no—
112C3×#681C2312yes—
113C2×C3×#168—21no—
114#6650—24no—
115D3×#168—24no—
116#5964—51no—
117#5745—51no—
118#5522D511yescharacteristic, complemented
119C3×#421—51no—
120C2×#837—51no—
121C2×#825—51no—
122#5005—51no—
123#4821—54no—
124D3×#104—54no—
125C2×C5×#41—31no—
126#4150—32no—
127#4150—32no—
128#4149—32no—
129#4149—32no—
130D5×#41—62no—
131D5×#41—62no—
132#4147—61no—
133#4144—61no—
134#4144—62no—
135C2×#709—31no—
136C2×#709—34no—
137C2×#709C2×D311yescharacteristic
138C4×C5×Q8—61no—
139C4×C5×D4—62no—
140C4×C5×D4—61no—
141C5×#117—32no—
142C5×#117C2×D311yescharacteristic, complemented
143C2×C42×C5—31no—
144C2×C42×C5—32no—
145#4094—62no—
146#4094—62no—
147C2×#681—31no—
148C2×#681—34no—
149C2×#681C2×D311yescharacteristic, complemented
150#3937—32no—
151#3937—32no—
152#3937—34no—
153#3937—32no—
154#3937—32no—
155#3937C2×D314yescomplemented
156#2901—151noSylow
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—21no—
159C22×C5×D3C2×D412yes—
160C22×C3×D5—21no—
161C2×D3×D5—24no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5C22×C411yescharacteristic
164C2×C3×C4×C5C22×C411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2411yescharacteristic
169#1220—22no—
170#1220—22no—
171C2×Dic15—21no—
172D60—21no—
173D60C22×C412yes—
174C4×D15—22no—
175C4×D15—22no—
176Dic30—21no—
177Dic30C22×C412yes—
178C5×#67C22⋊C414yes—
179C5×#67C22⋊C414yes—
180C2×C5×Dic3—21no—
181C2×C5×Dic3—21no—
182C2×C5×Dic3—42no—
183C2×C5×Dic3C2×D412yes—
184C5×D12C22⋊C412yes—
185C5×D12C22⋊C412yes—
186C4×C5×D3—44no—
187C4×C5×D3C22×C414yes—
188C4×C5×D3C2×D414yes—
189C5×Dic6C22⋊C412yes—
190C5×Dic6C22⋊C412yes—
191C3×C22⋊D5—22no—
192C3×C22⋊D5—22no—
193C2×C3×Dic5—21no—
194C3×D20—21no—
195C3×D20C22×C412yes—
196C3×C4×D5—22no—
197C3×C4×D5—22no—
198C3×Dic10—21no—
199C3×Dic10C22×C412yes—
200#1204—24no—
201#1203—24no—
202#1202—24no—
203#1201—24no—
204#1200—24no—
205D3×Dic5—24no—
206D5×Dic3—24no—
207C3⋊#168—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×M16—51no—
223C3×#117C2×D511yescharacteristic, complemented
224C2×C4×Dic3C2×D511yescharacteristic, complemented
225C2×#208—51no—
226#907—102no—
227D3×M16—54no—
228#901—102no—
229#893—21no—
230#887—21no—
231#67⋊C4—22no—
232#872C2×D512yescomplemented
233C42×D3C2×D512yescomplemented
234C3×#104—54no—
235#837—52no—
236#837—52no—
237#825—52no—
238#825—52no—
239#805—54no—
240C5×#41—32no—
241C5×#41—32no—
242C5×#41—32no—
243C5×#41—32no—
244C2×C5×Q8—31no—
245C2×C5×D4—32no—
246C2×C5×D4—31no—
247C22×C4×C5—32no—
248C22×C4×C5—62no—
249C22×C4×C5—61no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—21no—
252C2×C22⋊D5—64no—
253C2×C22⋊D5—61no—
254#713—62no—
255#713—62no—
256Q8×D5—62no—
257Q8×D5—62no—
258#711—62no—
259#711—62no—
260#711—64no—
261#711—64no—
262D4×D5—62no—
263D4×D5—62no—
264D4×D5—64no—
265D4×D5—64no—
266#709—21no—
267#709—21no—
268#709—32no—
269#709—32no—
270#709—34no—
271#709—34no—
272#709—64no—
273#709—64no—
274#709—61no—
275#709—61no—
276#709C4×D312yescomplemented
277#709C22×D312yes—
278C2×D20—31no—
279C2×D20—34no—
280C2×D20C4×D311yescharacteristic, complemented
281C2×C4×D5—21no—
282C2×C4×D5—64no—
283C2×C4×D5—61no—
284C2×Dic10—31no—
285C2×Dic10—34no—
286C2×Dic10C4×D311yescharacteristic, complemented
287C5×C4⋊C4—21no—
288C5×C4⋊C4—62no—
289C5×C22⋊C4—21no—
290C5×C22⋊C4—62no—
291C42×C5—31no—
292C42×C5—31no—
293C42×C5—62no—
294C42×C5—61no—
295C42×C5C22×D312yes—
296#681—21no—
297#681—32no—
298#681—64no—
299#681—61no—
300#681C22×D312yes—
301C2×#168—21no—
302C2×#168—64no—
303C2×#168—61no—
304#585—151no—
305#568—151no—
306C4×#41—31no—
307#421—51no—
308#421—154no—
309#421—151no—
310C2×#104—154no—
311C2×#104—151no—
312C2×#104—151no—
313C22×C3×C5—41no—
314C22×C3×C5C2×C22⋊C411yescharacteristic
315C22×C3×C5C2×C22⋊C411yescharacteristic
316C22×C3×C5C22×D411yescharacteristic
317C2×D15—22no—
318C2×D15—81no—
319C2×C5×D3—42no—
320C2×C5×D3C2×C22⋊C414yes—
321C2×C3×D5—22no—
322C2×C3×D5—81no—
323D3×D5—84no—
324C3×C4×C5—42no—
325C3×C4×C5C2×C22⋊C411yescharacteristic
326C3×C4×C5C2×C22⋊C411yescharacteristic
327C3×C4×C5C23×C411yescharacteristic
328C3×C4×C5C22×D411yescharacteristic
329Dic15—22no—
330C3×Dic5—22no—
331C5×Dic3—22no—
332C5×Dic3—41no—
333C5×Dic3C2×C22⋊C414yes—
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—101no—
344C2×#67—104no—
345C2×#67C22⋊D512yes—
346C22×Dic3—21no—
347#239—54no—
348#239—102no—
349D3×Q8—54no—
350D3×Q8—102no—
351#237—54no—
352#237—104no—
353#237—104no—
354#237—102no—
355D3×D4—54no—
356D3×D4—104no—
357D3×D4—104no—
358D3×D4—102no—
359#235—52no—
360#235—52no—
361#235—101no—
362#235—101no—
363#235—104no—
364#235—102no—
365#235—104no—
366#235—102no—
367#235C4×D512yes—
368#235C4×D512yes—
369#235D2012yes—
370#235D2012yes—
371C2×D12—51no—
372C2×D12—102no—
373C2×D12C22⋊D511yescharacteristic
374C2×C4×D3—22no—
375C2×C4×D3—101no—
376C2×C4×D3—104no—
377C2×C4×D3C22×D512yes—
378C2×Dic6—51no—
379C2×Dic6—102no—
380C2×Dic6C22⋊D511yescharacteristic
381C3×M16—52no—
382C3×M16—101no—
383C2×C3×C8—101no—
384C3×C4⋊C4—21no—
385C3×C22⋊C4—21no—
386C3×C42C22×D512yes—
387(C2×D3)⋊C4—22no—
388Dic3⋊C4—22no—
389C4×Dic3—21no—
390C4×Dic3—22no—
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—32no—
399C23×C5D3×D411yescharacteristic
400C22×D5—21no—
401C22×D5—64no—
402C22×D5—61no—
403C5×Q8—32no—
404C5×Q8—32no—
405C5×D4—34no—
406C5×D4—34no—
407C5×D4—32no—
408C5×D4—32no—
409C2×C4×C5—22no—
410C2×C4×C5—32no—
411C2×C4×C5—34no—
412C2×C4×C5—34no—
413C2×C4×C5—61no—
414C2×C4×C5—61no—
415C2×C4×C5—124no—
416C2×C4×C5—122no—
417C2×C4×C5C2×C4×D311yescharacteristic
418C2×C4×C5C2×C4×D311yescharacteristic
419C2×C4×C5D3×D411yescharacteristic
420C2×C4×C5D3×D411yescharacteristic
421C2×C4×C5D3×D411yescharacteristic
422C2×C4×C5C23×D311yescharacteristic
423C22⋊D5—22no—
424C22⋊D5—22no—
425C22⋊D5—64no—
426C22⋊D5—64no—
427C22⋊D5—62no—
428C22⋊D5—62no—
429C2×Dic5—21no—
430C2×Dic5—64no—
431C2×Dic5—61no—
432D20—21no—
433D20—32no—
434D20—64no—
435D20—61no—
436D20C2×C4×D312yes—
437C4×D5—22no—
438C4×D5—22no—
439C4×D5—64no—
440C4×D5—64no—
441C4×D5—62no—
442C4×D5—62no—
443Dic10—21no—
444Dic10—32no—
445Dic10—64no—
446Dic10—61no—
447Dic10C2×C4×D312yes—
448#168—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—154no—
460C2×#41—151no—
461C2×#41—302no—
462C2×#41—302no—
463#131—302no—
464#131—302no—
465C2×M16—51no—
466C2×M16—154no—
467C2×M16—151no—
468C4×Q8—61no—
469C4×D4—62no—
470C4×D4—61no—
471#117—32no—
472#117D3×D511yescharacteristic, complemented
473C2×C42—31no—
474C2×C42—32no—
475#104—54no—
476#104—152no—
477#104—152no—
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—42no—
486C3×D5—42no—
487C5×D3—24no—
488C23×C3—101no—
489C23×C3C2×C22⋊D511yescharacteristic
490C22×D3—101no—
491C22×D3—104no—
492C22×D3C2×C22⋊D512yes—
493C3×Q8—52no—
494C3×Q8—101no—
495C3×D4—52no—
496C3×D4—102no—
497C3×D4—102no—
498C3×D4—101no—
499C2×C3×C4—22no—
500C2×C3×C4—101no—
501C2×C3×C4—102no—
502C2×C3×C4—102no—
503C2×C3×C4C2×C4×D511yescharacteristic
504C2×C3×C4C2×C4×D511yescharacteristic
505C2×C3×C4C2×D2011yescharacteristic
506C2×C3×C4C2×D2011yescharacteristic
507C2×C3×C4C2×C22⋊D511yescharacteristic
508C2×C3×C4C23×D511yescharacteristic
509#67—102no—
510#67—102no—
511#67—104no—
512#67—104no—
513#67#68514yes—
514#67#68514yes—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—42no—
518C2×Dic3—101no—
519C2×Dic3—104no—
520C2×Dic3C2×C22⋊D512yes—
521D12—52no—
522D12—104no—
523D12—101no—
524D12#68512yes—
525D12#68512yes—
526C4×D3—44no—
527C4×D3—104no—
528C4×D3—102no—
529C4×D3—102no—
530C4×D3—104no—
531C4×D3C2×C4×D514yes—
532C4×D3C2×D2014yes—
533Dic6—52no—
534Dic6—101no—
535Dic6—104no—
536Dic6#68512yes—
537Dic6#68512yes—
538C3×C8—102no—
539C3⋊C8—102no—
540C22×C5—34no—
541C22×C5—41no—
542C22×C5—122no—
543C22×C5D3×C22⋊C411yescharacteristic
544C22×C5D3×C22⋊C411yescharacteristic
545C22×C5C2×D3×D411yescharacteristic
546C2×D5—22no—
547C2×D5—62no—
548C2×D5—81no—
549C2×D5—244no—
550C2×D5—241no—
551C4×C5—34no—
552C4×C5—42no—
553C4×C5—62no—
554C4×C5—121no—
555C4×C5D3×C22⋊C411yescharacteristic
556C4×C5D3×C22⋊C411yescharacteristic
557C4×C5C22×C4×D311yescharacteristic
558C4×C5C2×D3×D411yescharacteristic
559Dic5—22no—
560Dic5—62no—
561#41—32no—
562#41—32no—
563#41—32no—
564#41—32no—
565#41—52no—
566#41—52no—
567#41—101no—
568#41—101no—
569#41—154no—
570#41—154no—
571#41—152no—
572#41—152no—
573#41—304no—
574#41—304no—
575#41—304no—
576#41—302no—
577#41—302no—
578#41—304no—
579#41—302no—
580#41—302no—
581#41—301no—
582#41—301no—
583C2×Q8—31no—
584C2×Q8—51no—
585C2×Q8—154no—
586C2×Q8—151no—
587C2×Q8—302no—
588C2×Q8—302no—
589C2×D4—32no—
590C2×D4—31no—
591C2×D4—51no—
592C2×D4—101no—
593C2×D4—154no—
594C2×D4—151no—
595C2×D4—302no—
596C2×D4—304no—
597C2×D4—302no—
598C2×D4—304no—
599C2×D4—304no—
600C2×D4—301no—
601C22×C4—32no—
602C22×C4—62no—
603C22×C4—61no—
604C22×C4—101no—
605C22×C4—304no—
606C22×C4—301no—
607C22×C4C2×D3×D511yescharacteristic
608M16—52no—
609M16—101no—
610M16—152no—
611M16—304no—
612M16—301no—
613C2×C8—101no—
614C2×C8—304no—
615C2×C8—301no—
616C4⋊C4—21no—
617C4⋊C4—62no—
618C22⋊C4—21no—
619C22⋊C4—62no—
620C42—31no—
621C42—31no—
622C42—62no—
623C42—61no—
624C42C2×D3×D512yes—
625C3×C5#290111yescharacteristic, complemented, Hall
626C22×C3—41no—
627C22×C3—102no—
628C22×C3—401no—
629C22×C3C2×#68511yescharacteristic
630C22×C3C2×#68511yescharacteristic
631C22×C3C22×C22⋊D511yescharacteristic
632C2×D3—42no—
633C2×D3—102no—
634C2×D3—404no—
635C2×D3—401no—
636C2×D3C2×#68514yes—
637C3×C4—42no—
638C3×C4—102no—
639C3×C4C2×#68511yescharacteristic
640C3×C4C2×#68511yescharacteristic
641C3×C4C22×C4×D511yescharacteristic
642C3×C4C22×D2011yescharacteristic
643Dic3—22no—
644Dic3—41no—
645Dic3—102no—
646Dic3C2×#68514yes—
647C2×C5—21no—
648C2×C5—21no—
649C2×C5—21no—
650C2×C5—64no—
651C2×C5C2×D3×C22⋊C411yescharacteristic
652D5—42no—
653D5—122no—
654C23—32no—
655C23—101no—
656C23—304no—
657C23—301no—
658C23D3×C22⋊D511yescharacteristic
659Q8—32no—
660Q8—32no—
661Q8—52no—
662Q8—101no—
663Q8—152no—
664Q8—304no—
665Q8—301no—
666D4—34no—
667D4—34no—
668D4—32no—
669D4—32no—
670D4—52no—
671D4—102no—
672D4—102no—
673D4—101no—
674D4—152no—
675D4—304no—
676D4—304no—
677D4—304no—
678D4—302no—
679D4—302no—
680D4—301no—
681C2×C4—22no—
682C2×C4—32no—
683C2×C4—34no—
684C2×C4—34no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—101no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—124no—
691C2×C4—122no—
692C2×C4—304no—
693C2×C4—304no—
694C2×C4—304no—
695C2×C4—301no—
696C2×C4—302no—
697C2×C4—302no—
698C2×C4C4×D3×D511yescharacteristic
699C2×C4C4×D3×D511yescharacteristic
700C2×C4D3×D2011yescharacteristic
701C2×C4D3×D2011yescharacteristic
702C2×C4D3×C22⋊D511yescharacteristic
703C2×C4C22×D3×D511yescharacteristic
704C8—102no—
705C8—302no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—202no—
710C2×C3C22×#68511yescharacteristic
711D3—24no—
712D3—202no—
713C5#7899211yescharacteristic, complemented, Sylow
714C22—34no—
715C22—41no—
716C22—102no—
717C22—122no—
718C22—302no—
719C22—401no—
720C22—1201no—
721C22—1204no—
722C22D3×#68511yescharacteristic
723C22D3×#68511yescharacteristic
724C22C2×D3×C22⋊D511yescharacteristic
725C4—34no—
726C4—42no—
727C4—62no—
728C4—102no—
729C4—121no—
730C4—302no—
731C4D3×#68511yescharacteristic
732C4D3×#68511yescharacteristic
733C4C2×C4×D3×D511yescharacteristic
734C4C2×D3×D2011yescharacteristic
735C3#1061426711yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—64no—
740C2—202no—
741C2—602no—
742C2C2×D3×#68511yescharacteristic
subgroupG/H
centerC4C2×D3×D20
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC2×C3×C5C22×C22⋊C4
prime radical#11757022C2
cosocleC2×C3×C4×C5C24
hypercenter#117D3×D5
hypocenterC3×C5#2901
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C4 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. C5×#5522C2semidirect
3. #11754125C2semidirect
4. #11751106C2semidirect
5. C3×#65294C2semidirect
6. C2×#90980C2semidirect
7. C2×#90977C2semidirect
8. #11747111C2semidirect
9. D3×#3937C2semidirect
15. #92019C4semidirect
17. #92017C4semidirect
21. #92004C4semidirect
22. #92001C4semidirect
24. C3×C5×#117C22semidirect
25. C2×#6710C22semidirect
26. C2×C4×C5×Dic3C22semidirect
30. C5×#872C22semidirect
31. C42×C5×D3C22semidirect
32. C2×C3×#681C22semidirect
34. D3×#681C22semidirect
36. #91089C22semidirect
37. C3×#3937C22semidirect
38. #90980C22semidirect
39. #90980C22semidirect
40. #90977C22semidirect
41. #90977C22semidirect
48. #65294D3semidirect
56. #6817C2×C4semidirect
58. C2×D60C2×C4semidirect
60. C2×Dic30C2×C4semidirect
74. C3×#709C2×C4semidirect
76. C2×C3×D20C2×C4semidirect
78. C2×C3×Dic10C2×C4semidirect
86. D3×D20C2×C4semidirect
93. #6769C2×C4semidirect
95. D3×Dic10C2×C4semidirect
97. #6765C2×C4semidirect
118. #5522D5semidirect
142. C5×#117C2×D3semidirect
149. C2×#681C2×D3semidirect
155. #3937C2×D3semidirect
223. C3×#117C2×D5semidirect
224. C2×C4×Dic3C2×D5semidirect
232. #872C2×D5semidirect
233. C42×D3C2×D5semidirect
276. #709C4×D3semidirect
280. C2×D20C4×D3semidirect
286. C2×Dic10C4×D3semidirect
472. #117D3×D5semidirect
625. C3×C5#2901semidirect
713. C5#78992semidirect
735. C3#10614267semidirect

Maximal subgroups

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

subgroupindex
#117570222
C5×#55222
#117541252
#117511062
C3×#652942
C2×#909802
C2×#909772
#117471112
D3×#39372
#106142673
#789925