Finite Group Databasebeta

← #14412904

Subgroups — #14412904

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#11757146C211yesmaximal, characteristic
2#11756504C211yesmaximal, characteristic, complemented
3C4×#6817C211yesmaximal, characteristic, complemented
4C2×C3×C5×#104C211yesmaximal, characteristic, complemented
5#11751337C211yesmaximal, characteristic, complemented
6#11751240C211yesmaximal, characteristic, complemented
7C2×#91089C211yesmaximal, characteristic, complemented
8#11750922C214yesmaximal, complemented
9D15×#104C214yesmaximal, complemented
10#10610714—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12#92101—21no—
13#92101C412yescomplemented
14#92100—21no—
15#92100C412yescomplemented
16#41×D15—22no—
17#41×D15C2214yes—
18#92098C412yescomplemented
19#92095—22no—
20#92095C412yescomplemented
21C2×#6817—22no—
22C2×#6817C2211yescharacteristic
23C2×#6817C2211yescharacteristic
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×C3×C42×C5C2211yescharacteristic, complemented
26C4×#1220—22no—
27#91815C2211yescharacteristic, complemented
28C2×#6710C2211yescharacteristic, complemented
29#91796—22no—
30M16×D15C2214yescomplemented
31#91790—22no—
32C4×D60—21no—
33#91761C2212yescomplemented
34C42×D15C2212yescomplemented
35C4×Dic30—21no—
36C3×C5×#104C2212yescomplemented
37C3×C5×#104C2212yescomplemented
38#91121C2214yescomplemented
39#91109C2214yescomplemented
40#91089C2212yescomplemented
41#91089C2212yescomplemented
42#78983—51nomaximal, Hall
43#66283—31no—
44#66079—31no—
45C4×#709—31no—
46C2×C5×#104D311yescharacteristic, complemented
47#65525—31no—
48#65428—31no—
49C2×#3937—31no—
50#65110—34no—
51D5×#104—34no—
52C3×C5×#41—21no—
53C3×C5×#41—21no—
54C3×C5×#41C2×C412yescomplemented
55C3×C5×#41C2312yes—
56C2×C3×C5×Q8C2×C411yescharacteristic, complemented
57C2×C3×C5×D4—21no—
58C2×C3×C5×D4C2×C411yescharacteristic, complemented
59C22×C3×C4×C5—21no—
60C22×C3×C4×C5—21no—
61C22×C3×C4×C5C2311yescharacteristic
62C2×#1220—21no—
63C2×#1220—24no—
64C2×#1220D412yes—
65#6821—22no—
66#6821C2×C414yescomplemented
67Q8×D15—22no—
68Q8×D15C2×C414yescomplemented
69#6819—24no—
70#6819—24no—
71#6819—22no—
72#6819C2×C414yescomplemented
73D4×D15—24no—
74D4×D15—24no—
75D4×D15—22no—
76D4×D15C2×C414yescomplemented
77#6817—21no—
78#6817—21no—
79#6817—24no—
80#6817—22no—
81#6817—24no—
82#6817—22no—
83#6817C2×C412yes—
84#6817C2×C412yes—
85#6817C2×C412yescomplemented
86#6817D412yes—
87#6817D412yes—
88#6817C2312yes—
89C2×D60—22no—
90C2×D60C2×C411yescharacteristic, complemented
91C2×D60D411yescharacteristic
92C2×C4×D15—21no—
93C2×C4×D15—24no—
94C2×C4×D15—22no—
95C2×C4×D15C2312yes—
96C2×Dic30—22no—
97C2×Dic30C2×C411yescharacteristic, complemented
98C2×Dic30D411yescharacteristic
99C3×C5×M16—21no—
100C3×C5×M16C2312yes—
101C2×C3×C5×C8—21no—
102C3×C42×C5—21no—
103C3×C42×C5C2311yescharacteristic
104C3×C42×C5C2311yescharacteristic
105#6719—21no—
106#6714—22no—
107C4⋊Dic15—21no—
108#6712—22no—
109C4×Dic15—22no—
110C4×Dic15C2312yes—
111#6710—21no—
112#6710C2312yes—
113C2×C3⋊#168—21no—
114#6705—24no—
115C8×D15—24no—
116#5964—51no—
117#5745—51no—
118C4×#235—51no—
119C2×C3×#104D511yescharacteristic, complemented
120#5236—51no—
121#5139—51no—
122C2×#805—51no—
123#4821—54no—
124D3×#104—54no—
125C2×C5×#41C2×D311yescharacteristic
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—31no—
137C2×#709—62no—
138C2×C5×M16C2×D311yescharacteristic, complemented
139C2×C42×C5C2×D311yescharacteristic, complemented
140C4×C22⋊D5—62no—
141#4072—31no—
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×#104C2×D312yescomplemented
151C5×#104C2×D312yescomplemented
152#3969—34no—
153#3957—34no—
154#3937—32no—
155#3937—32no—
156#2901—151noSylow
157C23×C3×C5—21no—
158C23×C3×C5C2×D411yescharacteristic
159C22×D15—21no—
160C22×D15—24no—
161C22×D15C2×D412yes—
162C3×C5×Q8—21no—
163C3×C5×Q8C22×C412yes—
164C3×C5×D4—22no—
165C3×C5×D4—22no—
166C3×C5×D4—21no—
167C3×C5×D4C22×C412yes—
168C2×C3×C4×C5—21no—
169C2×C3×C4×C5—21no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—42no—
174C2×C3×C4×C5C22×C411yescharacteristic
175C2×C3×C4×C5C22×C411yescharacteristic
176C2×C3×C4×C5C2×D411yescharacteristic
177C2×C3×C4×C5C2×D411yescharacteristic
178C2×C3×C4×C5C2×D411yescharacteristic
179C2×C3×C4×C5C2411yescharacteristic
180#1220—22no—
181#1220—22no—
182#1220—24no—
183#1220—24no—
184#1220C22⋊C414yes—
185#1220C22⋊C414yes—
186C2×Dic15—21no—
187C2×Dic15—24no—
188C2×Dic15—22no—
189C2×Dic15C2×D412yes—
190D60—24no—
191D60—21no—
192D60C22⋊C412yes—
193D60C22⋊C412yes—
194D60C22×C412yes—
195C4×D15—24no—
196C4×D15—22no—
197C4×D15—22no—
198C4×D15—24no—
199C4×D15—44no—
200C4×D15C22×C414yes—
201C4×D15C2×D414yes—
202Dic30—21no—
203Dic30—24no—
204Dic30C22⋊C412yes—
205Dic30C22⋊C412yes—
206Dic30C22×C412yes—
207C3×C5×C8—22no—
208C3⋊#168—22no—
209C2×C3×#41C2×D511yescharacteristic
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—51no—
221C2×#235—102no—
222C2×C3×M16C2×D511yescharacteristic, complemented
223C2×C3×C42C2×D511yescharacteristic, complemented
224C4×#67—102no—
225#926—51no—
226C2×#208—51no—
227#907—102no—
228D3×M16—54no—
229#901—102no—
230C4×D12—101no—
231#872—52no—
232C42×D3—52no—
233C4×Dic6—101no—
234C3×#104C2×D512yescomplemented
235C3×#104C2×D512yescomplemented
236#837—54no—
237#825—54no—
238#805—52no—
239#805—52no—
240C5×#41—21no—
241C5×#41—21no—
242C5×#41C4×D312yescomplemented
243C5×#41C22×D312yes—
244C2×C5×Q8C4×D311yescharacteristic, complemented
245C2×C5×D4—21no—
246C2×C5×D4C4×D311yescharacteristic, complemented
247C22×C4×C5—21no—
248C22×C4×C5—21no—
249C22×C4×C5C22×D311yescharacteristic
250C2×C22⋊D5—32no—
251C2×C22⋊D5—64no—
252C2×C22⋊D5—61no—
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—32no—
266#709—32no—
267#709—32no—
268#709—32no—
269#709—32no—
270#709—32no—
271#709—62no—
272#709—64no—
273#709—62no—
274#709—64no—
275#709—61no—
276#709—61no—
277C2×D20—31no—
278C2×D20—31no—
279C2×D20—62no—
280C2×C4×D5—32no—
281C2×C4×D5—64no—
282C2×C4×D5—61no—
283C2×C4×D5—62no—
284C2×Dic10—31no—
285C2×Dic10—31no—
286C2×Dic10—62no—
287C5×M16—21no—
288C5×M16C22×D312yes—
289C2×C5×C8—21no—
290C42×C5—21no—
291C42×C5C22×D311yescharacteristic
292C42×C5C22×D311yescharacteristic
293C22⋊Dic5—61no—
294#685—62no—
295C4⋊Dic5—61no—
296#683—62no—
297C4×Dic5—32no—
298C4×Dic5—62no—
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—151no—
308#421—151no—
309#421—154no—
310C2×#104—151no—
311C2×#104—154no—
312C2×#104D1511yescharacteristic, complemented
313C22×C3×C5—22no—
314C22×C3×C5—41no—
315C22×C3×C5—81no—
316C22×C3×C5C2×C22⋊C411yescharacteristic
317C22×C3×C5C2×C22⋊C411yescharacteristic
318C22×C3×C5C22×D411yescharacteristic
319C2×D15—22no—
320C2×D15—42no—
321C2×D15—84no—
322C2×D15—81no—
323C2×D15C2×C22⋊C414yes—
324C3×C4×C5—22no—
325C3×C4×C5—22no—
326C3×C4×C5—41no—
327C3×C4×C5C2×C22⋊C411yescharacteristic
328C3×C4×C5C2×C22⋊C411yescharacteristic
329C3×C4×C5C23×C411yescharacteristic
330C3×C4×C5C22×D411yescharacteristic
331Dic15—22no—
332Dic15—42no—
333Dic15C2×C22⋊C414yes—
334C3×#41—21no—
335C3×#41—21no—
336C3×#41C4×D512yescomplemented
337C3×#41C22×D512yes—
338C2×C3×Q8C4×D511yescharacteristic, complemented
339C2×C3×D4—21no—
340C2×C3×D4C4×D511yescharacteristic, complemented
341C22×C3×C4—21no—
342C22×C3×C4—21no—
343C22×C3×C4C22×D511yescharacteristic
344C2×#67—52no—
345C2×#67—104no—
346C2×#67—101no—
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—52no—
360#235—52no—
361#235—52no—
362#235—52no—
363#235—52no—
364#235—52no—
365#235—102no—
366#235—104no—
367#235—102no—
368#235—104no—
369#235—101no—
370#235—101no—
371C2×D12—51no—
372C2×D12—51no—
373C2×D12—102no—
374C2×C4×D3—52no—
375C2×C4×D3—104no—
376C2×C4×D3—101no—
377C2×C4×D3—102no—
378C2×Dic6—51no—
379C2×Dic6—51no—
380C2×Dic6—102no—
381C3×M16—21no—
382C3×M16C22×D512yes—
383C2×C3×C8—21no—
384C3×C42—21no—
385C3×C42C22×D511yescharacteristic
386C3×C42C22×D511yescharacteristic
387#217—101no—
388(C2×D3)⋊C4—102no—
389C4⋊Dic3—101no—
390Dic3⋊C4—102no—
391C4×Dic3—52no—
392C4×Dic3—102no—
393#208—52no—
394#208—101no—
395C2×C3⋊C8—101no—
396ΓL(1,𝔽25)—104no—
397D3×C8—104no—
398C23×C5—21no—
399C23×C5D3×D411yescharacteristic
400C22×D5—32no—
401C22×D5—64no—
402C22×D5—61no—
403C5×Q8—21no—
404C5×Q8C2×C4×D312yes—
405C5×D4—22no—
406C5×D4—22no—
407C5×D4—21no—
408C5×D4C2×C4×D312yes—
409C2×C4×C5—21no—
410C2×C4×C5—21no—
411C2×C4×C5—22no—
412C2×C4×C5—22no—
413C2×C4×C5—21no—
414C2×C4×C5—42no—
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—34no—
422C22⋊D5—34no—
423C22⋊D5—64no—
424C22⋊D5—64no—
425C22⋊D5—62no—
426C22⋊D5—62no—
427C2×Dic5—32no—
428C2×Dic5—64no—
429C2×Dic5—61no—
430C2×Dic5—62no—
431D20—32no—
432D20—32no—
433D20—32no—
434D20—64no—
435D20—61no—
436C4×D5—34no—
437C4×D5—34no—
438C4×D5—64no—
439C4×D5—64no—
440C4×D5—62no—
441C4×D5—62no—
442C4×D5—124no—
443Dic10—32no—
444Dic10—32no—
445Dic10—32no—
446Dic10—64no—
447Dic10—61no—
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—151no—
458C2×#41—154no—
459C2×#41—151no—
460C2×#41—302no—
461C2×#41—302no—
462C2×#41C2×D1511yescharacteristic
463#131—302no—
464#131—302no—
465C2×M16—151no—
466C2×M16—154no—
467C2×M16C2×D1511yescharacteristic, complemented
468C4×Q8—301no—
469C4×D4—301no—
470C4×D4—302no—
471#117—151no—
472#117—152no—
473C2×C42—152no—
474C2×C42C2×D1511yescharacteristic, complemented
475#104—154no—
476#104—154no—
477#104—152no—
478#104—152no—
479#104C2×D1512yescomplemented
480#104C2×D1512yescomplemented
481C2×C3×C5—21no—
482C2×C3×C5—21no—
483C2×C3×C5—21no—
484C2×C3×C5—42no—
485C2×C3×C5C22×C22⋊C411yescharacteristic
486D15—24no—
487D15—42no—
488C23×C3—21no—
489C23×C3D4×D511yescharacteristic
490C22×D3—52no—
491C22×D3—104no—
492C22×D3—101no—
493C3×Q8—21no—
494C3×Q8C2×C4×D512yes—
495C3×D4—22no—
496C3×D4—22no—
497C3×D4—21no—
498C3×D4C2×C4×D512yes—
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—22no—
502C2×C3×C4—22no—
503C2×C3×C4—21no—
504C2×C3×C4—42no—
505C2×C3×C4C2×C4×D511yescharacteristic
506C2×C3×C4C2×C4×D511yescharacteristic
507C2×C3×C4D4×D511yescharacteristic
508C2×C3×C4D4×D511yescharacteristic
509C2×C3×C4D4×D511yescharacteristic
510C2×C3×C4C23×D511yescharacteristic
511#67—54no—
512#67—54no—
513#67—104no—
514#67—104no—
515#67—102no—
516#67—102no—
517C2×Dic3—52no—
518C2×Dic3—104no—
519C2×Dic3—101no—
520C2×Dic3—102no—
521D12—52no—
522D12—52no—
523D12—52no—
524D12—104no—
525D12—101no—
526C4×D3—54no—
527C4×D3—54no—
528C4×D3—104no—
529C4×D3—104no—
530C4×D3—102no—
531C4×D3—102no—
532C4×D3—204no—
533Dic6—52no—
534Dic6—52no—
535Dic6—52no—
536Dic6—104no—
537Dic6—101no—
538C3×C8—22no—
539C3⋊C8—102no—
540C22×C5—22no—
541C22×C5—41no—
542C22×C5—81no—
543C22×C5D3×C22⋊C411yescharacteristic
544C22×C5D3×C22⋊C411yescharacteristic
545C22×C5C2×D3×D411yescharacteristic
546C2×D5—34no—
547C2×D5—62no—
548C2×D5—122no—
549C2×D5—244no—
550C2×D5—241no—
551C4×C5—22no—
552C4×C5—22no—
553C4×C5—41no—
554C4×C5D3×C22⋊C411yescharacteristic
555C4×C5D3×C22⋊C411yescharacteristic
556C4×C5C22×C4×D311yescharacteristic
557C4×C5C2×D3×D411yescharacteristic
558Dic5—34no—
559Dic5—62no—
560Dic5—122no—
561#41—21no—
562#41—21no—
563#41—152no—
564#41—152no—
565#41—152no—
566#41—152no—
567#41—154no—
568#41—154no—
569#41—152no—
570#41—152no—
571#41—304no—
572#41—304no—
573#41—302no—
574#41—302no—
575#41—304no—
576#41—304no—
577#41—302no—
578#41—302no—
579#41—301no—
580#41—301no—
581#41C4×D1512yescomplemented
582#41C22×D1512yes—
583C2×Q8—151no—
584C2×Q8—154no—
585C2×Q8—151no—
586C2×Q8—302no—
587C2×Q8—302no—
588C2×Q8C4×D1511yescharacteristic, complemented
589C2×D4—21no—
590C2×D4—152no—
591C2×D4—154no—
592C2×D4—151no—
593C2×D4—151no—
594C2×D4—302no—
595C2×D4—304no—
596C2×D4—302no—
597C2×D4—304no—
598C2×D4—304no—
599C2×D4—301no—
600C2×D4C4×D1511yescharacteristic, complemented
601C22×C4—21no—
602C22×C4—21no—
603C22×C4—152no—
604C22×C4—304no—
605C22×C4—302no—
606C22×C4—301no—
607C22×C4C22×D1511yescharacteristic
608M16—21no—
609M16—152no—
610M16—304no—
611M16—301no—
612M16C22×D1512yes—
613C2×C8—21no—
614C2×C8—304no—
615C2×C8—301no—
616C4⋊C4—302no—
617C4⋊C4—301no—
618C22⋊C4—302no—
619C22⋊C4—301no—
620C42—21no—
621C42—152no—
622C42—302no—
623C42C22×D1511yescharacteristic
624C42C22×D1511yescharacteristic
625C3×C5#290111yescharacteristic, complemented, Hall
626C22×C3—22no—
627C22×C3—41no—
628C22×C3—81no—
629C22×C3D5×C22⋊C411yescharacteristic
630C22×C3D5×C22⋊C411yescharacteristic
631C22×C3C2×D4×D511yescharacteristic
632C2×D3—54no—
633C2×D3—102no—
634C2×D3—202no—
635C2×D3—404no—
636C2×D3—401no—
637C3×C4—22no—
638C3×C4—22no—
639C3×C4—41no—
640C3×C4D5×C22⋊C411yescharacteristic
641C3×C4D5×C22⋊C411yescharacteristic
642C3×C4C22×C4×D511yescharacteristic
643C3×C4C2×D4×D511yescharacteristic
644Dic3—54no—
645Dic3—102no—
646Dic3—202no—
647C2×C5—21no—
648C2×C5—21no—
649C2×C5—21no—
650C2×C5—42no—
651C2×C5C2×D3×C22⋊C411yescharacteristic
652D5—64no—
653D5—122no—
654C23—21no—
655C23—152no—
656C23—304no—
657C23—301no—
658C23D4×D1511yescharacteristic
659Q8—21no—
660Q8—152no—
661Q8—152no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665Q8C2×C4×D1512yes—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—154no—
670D4—154no—
671D4—152no—
672D4—152no—
673D4—152no—
674D4—304no—
675D4—304no—
676D4—304no—
677D4—302no—
678D4—302no—
679D4—301no—
680D4C2×C4×D1512yes—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—42no—
687C2×C4—152no—
688C2×C4—154no—
689C2×C4—154no—
690C2×C4—304no—
691C2×C4—304no—
692C2×C4—304no—
693C2×C4—301no—
694C2×C4—302no—
695C2×C4—302no—
696C2×C4—302no—
697C2×C4—604no—
698C2×C4C2×C4×D1511yescharacteristic
699C2×C4C2×C4×D1511yescharacteristic
700C2×C4D4×D1511yescharacteristic
701C2×C4D4×D1511yescharacteristic
702C2×C4D4×D1511yescharacteristic
703C2×C4C23×D1511yescharacteristic
704C8—22no—
705C8—302no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—42no—
710C2×C3C2×D5×C22⋊C411yescharacteristic
711D3—104no—
712D3—202no—
713C5#7898311yescharacteristic, complemented, Sylow
714C22—22no—
715C22—41no—
716C22—81no—
717C22—154no—
718C22—302no—
719C22—602no—
720C22—1201no—
721C22—1204no—
722C22C22⋊C4×D1511yescharacteristic
723C22C22⋊C4×D1511yescharacteristic
724C22C2×D4×D1511yescharacteristic
725C4—22no—
726C4—22no—
727C4—41no—
728C4—154no—
729C4—302no—
730C4—602no—
731C4C22⋊C4×D1511yescharacteristic
732C4C22⋊C4×D1511yescharacteristic
733C4C22×C4×D1511yescharacteristic
734C4C2×D4×D1511yescharacteristic
735C3#1061071411yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—42no—
740C2—304no—
741C2—602no—
742C2C2×C22⋊C4×D1511yescharacteristic
subgroupG/H
centerC4C2×D4×D15
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C23×D15
FittingC2×C3×C5×#104C2
socleC2×C3×C5C22×C22⋊C4
prime radical#11757146C2
cosocleC2×C3×C4×C5C24
hypercenterC2×#104D15
hypocenterC3×C5#2901
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#104

Complements

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

NH ≅ G/Ntype
2. #11756504C2semidirect
3. C4×#6817C2semidirect
4. C2×C3×C5×#104C2semidirect
5. #11751337C2semidirect
6. #11751240C2semidirect
7. C2×#91089C2semidirect
8. #11750922C2semidirect
9. D15×#104C2semidirect
13. #92101C4semidirect
15. #92100C4semidirect
18. #92098C4semidirect
20. #92095C4semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×C3×C42×C5C22semidirect
27. #91815C22semidirect
28. C2×#6710C22semidirect
30. M16×D15C22semidirect
33. #91761C22semidirect
34. C42×D15C22semidirect
36. C3×C5×#104C22semidirect
37. C3×C5×#104C22semidirect
38. #91121C22semidirect
39. #91109C22semidirect
40. #91089C22semidirect
41. #91089C22semidirect
46. C2×C5×#104D3semidirect
54. C3×C5×#41C2×C4semidirect
56. C2×C3×C5×Q8C2×C4semidirect
58. C2×C3×C5×D4C2×C4semidirect
66. #6821C2×C4semidirect
68. Q8×D15C2×C4semidirect
72. #6819C2×C4semidirect
76. D4×D15C2×C4semidirect
85. #6817C2×C4semidirect
90. C2×D60C2×C4semidirect
97. C2×Dic30C2×C4semidirect
119. C2×C3×#104D5semidirect
138. C2×C5×M16C2×D3semidirect
139. C2×C42×C5C2×D3semidirect
150. C5×#104C2×D3semidirect
151. C5×#104C2×D3semidirect
222. C2×C3×M16C2×D5semidirect
223. C2×C3×C42C2×D5semidirect
234. C3×#104C2×D5semidirect
235. C3×#104C2×D5semidirect
242. C5×#41C4×D3semidirect
244. C2×C5×Q8C4×D3semidirect
246. C2×C5×D4C4×D3semidirect
312. C2×#104D15semidirect
336. C3×#41C4×D5semidirect
338. C2×C3×Q8C4×D5semidirect
340. C2×C3×D4C4×D5semidirect
467. C2×M16C2×D15semidirect
474. C2×C42C2×D15semidirect
479. #104C2×D15semidirect
480. #104C2×D15semidirect
581. #41C4×D15semidirect
588. C2×Q8C4×D15semidirect
600. C2×D4C4×D15semidirect
625. C3×C5#2901semidirect
713. C5#78983semidirect
735. C3#10610714semidirect

Maximal subgroups

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

subgroupindex
#117571462
#117565042
C4×#68172
C2×C3×C5×#1042
#117513372
#117512402
C2×#910892
#117509222
D15×#1042
#106107143
#789835