Finite Group Databasebeta

← #14425422

Subgroups — #14425422

Order 1920.

1396 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
1C2×C3×#4150C211yesmaximal, characteristic, complemented
2C5×#5822C211yesmaximal, characteristic, complemented
3#11754255C211yesmaximal, characteristic, complemented
4#11754138C211yesmaximal, characteristic, complemented
5#11751337C211yesmaximal, characteristic, complemented
6#11749462C214yesmaximal, complemented
7#11749456C214yesmaximal, complemented
8#11748420C211yesmaximal, characteristic, complemented
9C2×#90961C211yesmaximal, characteristic, complemented
10#10615737—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C3×#4150—22no—
14C3×#4150—22no—
15C3×#4150—22no—
16C3×#4150C2214yes—
17C2×C3×Q8×D5—21no—
18C2×C3×#711—21no—
19C2×C3×#711—22no—
20C2×C3×#709—21no—
21C2×C3×#709C2211yescharacteristic
22C22×C3×Dic10—21no—
23C22×C3×Dic10C2211yescharacteristic
24#91815C2211yescharacteristic
25C2×#6710C2211yescharacteristic
26C5×#951C2212yescomplemented
27C5×#950—22no—
28C5×#949C2212yescomplemented
29C5×#942—21no—
30C5×#932—21no—
31C2×C5×#208C2211yescharacteristic
32#91539—22no—
33#91385C2212yescomplemented
34#91370C2212yescomplemented
35#91369—22no—
36#91309—21no—
37#91307C2212yescomplemented
38#91299C2212yescomplemented
39#91298—21no—
40#91297—22no—
41#91121C2214yescomplemented
42#90976C2214yescomplemented
43#90961C2214yescomplemented
44#84116—51nomaximal, Hall
45C2×#4150D311yescharacteristic, complemented
46C5×#575—31no—
47#66159—31no—
48#66156—31no—
49#65525—31no—
50#65494—34no—
51#65490—34no—
52#65428—31no—
53C2×#3956—31no—
54C3×C5×#41—21no—
55C3×C5×#41—21no—
56C3×C5×#41D412yes—
57C3×C5×#41C2312yes—
58C2×C3×C5×Q8D411yescharacteristic
59C2×C3×C5×D4—21no—
60C2×C3×C5×D4D411yescharacteristic
61C22×C3×C4×C5—21no—
62C22×C3×C4×C5C2311yescharacteristic
63C2×C5×#67—21no—
64C5×#235—21no—
65C5×#235—21no—
66C5×#235—21no—
67C5×#235—21no—
68C2×C5×D12C2311yescharacteristic
69C2×C4×C5×D3—21no—
70C2×C5×Dic6C2311yescharacteristic
71C2×C3×C22⋊D5—22no—
72C2×C3×C22⋊D5—21no—
73C22×C3×Dic5—22no—
74C22×C3×Dic5D412yes—
75C3×Q8×D5—24no—
76C3×Q8×D5—24no—
77C3×#711—28no—
78C3×#711—24no—
79C3×#711—24no—
80C3×#711—28no—
81C3×#709—24no—
82C3×#709—21no—
83C3×#709—21no—
84C3×#709—24no—
85C3×#709D412yes—
86C3×#709C2312yes—
87C2×C3×D20D411yescharacteristic
88C2×C3×C4×D5—22no—
89C2×C3×C4×D5—21no—
90C2×C3×Dic10—22no—
91C2×C3×Dic10—24no—
92C2×C3×Dic10—21no—
93C2×C3×Dic10—21no—
94C2×C3×Dic10—21no—
95C2×C3×Dic10—21no—
96C2×C3×Dic10—24no—
97C2×C3×Dic10D412yes—
98C2×C3×Dic10D411yescharacteristic
99C2×C3×Dic10C2312yes—
100#6719—21no—
101C4⋊Dic15—21no—
102C4×Dic15C2312yes—
103#6710—21no—
104#6710C2312yes—
105C2×C3⋊#168—21no—
106C5×#216—22no—
107C5×#215—22no—
108C5×#214—22no—
109C5×#213—22no—
110C5×#208—21no—
111C5×#208C2312yes—
112C2×C5×C3⋊C8—21no—
113#6669—24no—
114(C2×D3)⋊Dic5—24no—
115#6661—22no—
116#6656—22no—
117#6655—22no—
118#6652—22no—
119C2×C3×2−1+4—51no—
120#5822—51no—
121#5822D511yescharacteristic, complemented
122#5816—51no—
123#5246—54no—
124#5245—54no—
125#5236—51no—
126#5236—51no—
127C2×#836—51no—
128C2×C5×#41—31no—
129C2×C5×#41C2×D311yescharacteristic
130#4150—22no—
131#4150—22no—
132#4150—22no—
133#4150C2×D314yes—
134C2×Q8×D5—21no—
135C2×#711—21no—
136C2×#711—22no—
137C2×#709—21no—
138C2×#709C2×D311yescharacteristic
139C22×Dic10—21no—
140C22×Dic10C2×D311yescharacteristic
141C5×#137—32no—
142C5×#137—61no—
143C5×AGL(1,ℤ/8)—32no—
144C5×AGL(1,ℤ/8)—61no—
145C5×#135—62no—
146C2×C5×M16—31no—
147#4097—61no—
148#4096—62no—
149#4095—61no—
150#4090—32no—
151#4088—32no—
152#4082—32no—
153#4081—62no—
154#4078—32no—
155#4072—31no—
156#4070—62no—
157C2×#681—31no—
158#3969—34no—
159#3957—34no—
160#3956—34no—
161#3020—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×C5×D3—21no—
165C22×C3×D5—21no—
166C3×C5×Q8—21no—
167C3×C5×Q8C2×D412yes—
168C3×C5×D4—22no—
169C3×C5×D4—22no—
170C3×C5×D4—21no—
171C3×C5×D4C2×D412yes—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—22no—
174C2×C3×C4×C5—22no—
175C2×C3×C4×C5C2×D411yescharacteristic
176C2×C3×C4×C5C2×D411yescharacteristic
177C2×C3×C4×C5C2×D411yescharacteristic
178C2×C3×C4×C5C2×D411yescharacteristic
179C2×C3×C4×C5C2×D411yescharacteristic
180C2×C3×C4×C5C2411yescharacteristic
181C2×Dic15—22no—
182C5×#67—41no—
183C5×#67—41no—
184C2×C5×Dic3—21no—
185C5×D12—21no—
186C5×D12—21no—
187C4×C5×D3—41no—
188C4×C5×D3—41no—
189C5×Dic6—21no—
190C5×Dic6—21no—
191C3×C22⋊D5—28no—
192C3×C22⋊D5—22no—
193C3×C22⋊D5—22no—
194C2×C3×Dic5—28no—
195C2×C3×Dic5—22no—
196C2×C3×Dic5—21no—
197C2×C3×Dic5—22no—
198C2×C3×Dic5C2×D414yes—
199C3×D20—21no—
200C3×D20C2×D412yes—
201C3×C4×D5—28no—
202C3×C4×D5—22no—
203C3×C4×D5—22no—
204C3×Dic10—28no—
205C3×Dic10—22no—
206C3×Dic10—21no—
207C3×Dic10—22no—
208C3×Dic10—22no—
209C3×Dic10—22no—
210C3×Dic10C2×D412yes—
211C3⋊#168—22no—
212C5×C3⋊C8—22no—
213C3×2−1+4—54no—
214C3×2−1+4—102no—
215C3×2−1+4—102no—
216C3×2−1+4—102no—
217C2×C3×#41—51no—
218C2×C3×#41—101no—
219C2×C3×#41—102no—
220C2×C3×#41—101no—
221C2×C3×#41C2×D511yescharacteristic
222C22×C3×Q8—51no—
223C22×C3×Q8—101no—
224C22×C3×Q8—101no—
225C2×#235C2×D511yescharacteristic
226#951—52no—
227#951C2×D512yescomplemented
228#950—22no—
229#950—102no—
230#949—52no—
231#949C2×D512yescomplemented
232#947—52no—
233#946—102no—
234#944—52no—
235#942—21no—
236#942—101no—
237#932—21no—
238#932—101no—
239#929—102no—
240#926—51no—
241C2×#208—51no—
242C2×#208C2×D511yescharacteristic
243#837—54no—
244#837—54no—
245#836—54no—
246C5×#41—21no—
247C5×#41—21no—
248C5×#41—61no—
249C5×#41—61no—
250C5×#41—61no—
251C5×#41—61no—
252C5×#41#6712yes—
253C5×#41C22×D312yes—
254C2×C5×Q8—31no—
255C2×C5×Q8#6711yescharacteristic
256C2×C5×D4—21no—
257C2×C5×D4—31no—
258C2×C5×D4—61no—
259C2×C5×D4#6711yescharacteristic
260C22×C4×C5—21no—
261C22×C4×C5—61no—
262C22×C4×C5C22×D311yescharacteristic
263C2×C22⋊D5—22no—
264C2×C22⋊D5—21no—
265C22×Dic5—22no—
266C22×Dic5#6712yes—
267Q8×D5—24no—
268Q8×D5—24no—
269#711—28no—
270#711—24no—
271#711—24no—
272#711—28no—
273#709—24no—
274#709—21no—
275#709—21no—
276#709—24no—
277#709#6712yes—
278#709C22×D312yes—
279C2×D20#6711yescharacteristic
280C2×C4×D5—22no—
281C2×C4×D5—21no—
282C2×Dic10—22no—
283C2×Dic10—24no—
284C2×Dic10—21no—
285C2×Dic10—21no—
286C2×Dic10—21no—
287C2×Dic10—21no—
288C2×Dic10—24no—
289C2×Dic10#6712yes—
290C2×Dic10#6711yescharacteristic
291C2×Dic10C22×D312yes—
292C5×Q16—62no—
293C5×SD16—62no—
294C5×SD16—62no—
295C5×D8—62no—
296C5×M16—32no—
297C5×M16—61no—
298C2×C5×C8—61no—
299C22⋊Dic5—61no—
300C22⋊Dic5—64no—
301#689—62no—
302#688—62no—
303#687—62no—
304#686—62no—
305C4⋊Dic5—61no—
306#683—64no—
307C4×Dic5—32no—
308#681—32no—
309#681—61no—
310C2×#168—61no—
311C2×2−1+4—51no—
312#575—31no—
313#575—151no—
314#536—151no—
315#456—154no—
316#454—154no—
317#421—151no—
318#421—151no—
319C2×#101—151no—
320C22×C3×C5—22no—
321C22×C3×C5—41no—
322C22×C3×C5—42no—
323C22×C3×C5#12011yescharacteristic
324C22×C3×C5#12011yescharacteristic
325C22×C3×C5C22×D411yescharacteristic
326C2×C5×D3—42no—
327C2×C5×D3—41no—
328C2×C3×D5—22no—
329C2×C3×D5—42no—
330C3×C4×C5—22no—
331C3×C4×C5#12011yescharacteristic
332C3×C4×C5#12011yescharacteristic
333C3×C4×C5C22×D411yescharacteristic
334C3×C4×C5C22×D411yescharacteristic
335Dic15—42no—
336C3×Dic5—24no—
337C3×Dic5—22no—
338C5×Dic3—41no—
339C3×#41—21no—
340C3×#41—21no—
341C3×#41—52no—
342C3×#41—52no—
343C3×#41—104no—
344C3×#41—104no—
345C3×#41—108no—
346C3×#41—108no—
347C3×#41—104no—
348C3×#41—104no—
349C3×#41—101no—
350C3×#41—101no—
351C3×#41C22⋊D512yes—
352C3×#41C22×D512yes—
353C2×C3×Q8—52no—
354C2×C3×Q8—52no—
355C2×C3×Q8—51no—
356C2×C3×Q8—104no—
357C2×C3×Q8—102no—
358C2×C3×Q8—104no—
359C2×C3×Q8—104no—
360C2×C3×Q8—104no—
361C2×C3×Q8—101no—
362C2×C3×Q8—101no—
363C2×C3×Q8—101no—
364C2×C3×Q8—101no—
365C2×C3×Q8C22⋊D511yescharacteristic
366C2×C3×D4—21no—
367C2×C3×D4—51no—
368C2×C3×D4—102no—
369C2×C3×D4—101no—
370C2×C3×D4C22⋊D511yescharacteristic
371C22×C3×C4—21no—
372C22×C3×C4—52no—
373C22×C3×C4—102no—
374C22×C3×C4—102no—
375C22×C3×C4—101no—
376C22×C3×C4C22×D511yescharacteristic
377C2×#67—21no—
378#235—21no—
379#235—21no—
380#235—21no—
381#235—21no—
382C2×D12C22×D511yescharacteristic
383C2×C4×D3—21no—
384C2×Dic6C22×D511yescharacteristic
385#217—101no—
386#216—22no—
387#216—102no—
388#215—22no—
389#215—102no—
390#214—22no—
391#214—102no—
392#213—22no—
393#213—102no—
394(C2×D3)⋊C4—104no—
395C4⋊Dic3—101no—
396Dic3⋊C4—104no—
397C4×Dic3—52no—
398#208—21no—
399#208—52no—
400#208—101no—
401#208C22×D512yes—
402C2×C3⋊C8—21no—
403C2×C3⋊C8—101no—
404C23×C5—21no—
405C23×C5—61no—
406C23×C5C2×#6711yescharacteristic
407C22×D5—21no—
408C5×Q8—21no—
409C5×Q8—61no—
410C5×Q8—61no—
411C5×Q8C2×#6712yes—
412C5×D4—22no—
413C5×D4—22no—
414C5×D4—21no—
415C5×D4—61no—
416C5×D4—61no—
417C5×D4—121no—
418C5×D4—121no—
419C5×D4C2×#6712yes—
420C2×C4×C5—21no—
421C2×C4×C5—22no—
422C2×C4×C5—22no—
423C2×C4×C5—61no—
424C2×C4×C5—121no—
425C2×C4×C5—121no—
426C2×C4×C5C2×#6711yescharacteristic
427C2×C4×C5C2×#6711yescharacteristic
428C2×C4×C5C2×#6711yescharacteristic
429C2×C4×C5C2×#6711yescharacteristic
430C2×C4×C5C2×#6711yescharacteristic
431C2×C4×C5C23×D311yescharacteristic
432C22⋊D5—28no—
433C22⋊D5—22no—
434C22⋊D5—22no—
435C2×Dic5—28no—
436C2×Dic5—22no—
437C2×Dic5—21no—
438C2×Dic5—22no—
439C2×Dic5—62no—
440C2×Dic5C2×#6714yes—
441D20—21no—
442D20C2×#6712yes—
443C4×D5—28no—
444C4×D5—22no—
445C4×D5—22no—
446Dic10—28no—
447Dic10—22no—
448Dic10—21no—
449Dic10—22no—
450Dic10—22no—
451Dic10—22no—
452Dic10C2×#6712yes—
453C5×C8—62no—
454#168—62no—
4552−1+4—54no—
4562−1+4—102no—
4572−1+4—102no—
4582−1+4—102no—
459C2×#41—31no—
460C2×#41—51no—
461C2×#41—101no—
462C2×#41—102no—
463C2×#41—101no—
464C2×#41D3×D511yescharacteristic
465C22×Q8—51no—
466C22×Q8—101no—
467C22×Q8—101no—
468#137—32no—
469#137—61no—
470#137—152no—
471#137—301no—
472AGL(1,ℤ/8)—32no—
473AGL(1,ℤ/8)—61no—
474AGL(1,ℤ/8)—152no—
475AGL(1,ℤ/8)—301no—
476#135—62no—
477#135—302no—
478C2×M16—31no—
479C2×M16—151no—
480C4⋊Q8—152no—
481#124—152no—
482#123—302no—
483C22⋊Q8—302no—
484#117—151no—
485#104—154no—
486#104—154no—
487#101—154no—
488C2×C3×C5—21no—
489C2×C3×C5—21no—
490C2×C3×C5—21no—
491C2×C3×C5—42no—
492C2×C3×C5C2×#12011yescharacteristic
493C3×D5—42no—
494C5×D3—81no—
495C23×C3—21no—
496C23×C3—101no—
497C23×C3D4×D511yescharacteristic
498C22×D3—21no—
499C3×Q8—21no—
500C3×Q8—52no—
501C3×Q8—108no—
502C3×Q8—102no—
503C3×Q8—102no—
504C3×Q8—102no—
505C3×Q8—102no—
506C3×Q8—101no—
507C3×Q8C2×C22⋊D512yes—
508C3×D4—22no—
509C3×D4—22no—
510C3×D4—21no—
511C3×D4—52no—
512C3×D4—108no—
513C3×D4—102no—
514C3×D4—102no—
515C3×D4—101no—
516C3×D4C2×C22⋊D512yes—
517C2×C3×C4—21no—
518C2×C3×C4—22no—
519C2×C3×C4—22no—
520C2×C3×C4—54no—
521C2×C3×C4—108no—
522C2×C3×C4—108no—
523C2×C3×C4—102no—
524C2×C3×C4—102no—
525C2×C3×C4—101no—
526C2×C3×C4—102no—
527C2×C3×C4—102no—
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4D4×D511yescharacteristic
530C2×C3×C4D4×D511yescharacteristic
531C2×C3×C4C2×C22⋊D511yescharacteristic
532C2×C3×C4C2×C22⋊D511yescharacteristic
533C2×C3×C4C23×D511yescharacteristic
534#67—41no—
535#67—41no—
536C2×Dic3—21no—
537C2×Dic3—102no—
538D12—21no—
539D12—21no—
540C4×D3—41no—
541C4×D3—41no—
542Dic6—21no—
543Dic6—21no—
544C3⋊C8—22no—
545C3⋊C8—102no—
546C22×C5—22no—
547C22×C5—41no—
548C22×C5—42no—
549C22×C5—122no—
550C22×C5—121no—
551C22×C5#95311yescharacteristic
552C22×C5#95311yescharacteristic
553C22×C5C22×#6711yescharacteristic
554C2×D5—22no—
555C2×D5—42no—
556C4×C5—22no—
557C4×C5—121no—
558C4×C5#95311yescharacteristic
559C4×C5#95311yescharacteristic
560C4×C5C22×#6711yescharacteristic
561C4×C5C22×#6711yescharacteristic
562Dic5—24no—
563Dic5—22no—
564Dic5—122no—
565#41—21no—
566#41—21no—
567#41—52no—
568#41—52no—
569#41—61no—
570#41—61no—
571#41—61no—
572#41—61no—
573#41—104no—
574#41—104no—
575#41—108no—
576#41—108no—
577#41—104no—
578#41—104no—
579#41—101no—
580#41—101no—
581#41#120112yes—
582#41C2×D3×D512yes—
583C2×Q8—31no—
584C2×Q8—52no—
585C2×Q8—52no—
586C2×Q8—51no—
587C2×Q8—104no—
588C2×Q8—102no—
589C2×Q8—104no—
590C2×Q8—104no—
591C2×Q8—104no—
592C2×Q8—101no—
593C2×Q8—101no—
594C2×Q8—101no—
595C2×Q8—101no—
596C2×Q8#120111yescharacteristic
597C2×D4—21no—
598C2×D4—31no—
599C2×D4—51no—
600C2×D4—61no—
601C2×D4—102no—
602C2×D4—101no—
603C2×D4#120111yescharacteristic
604C22×C4—21no—
605C22×C4—52no—
606C22×C4—61no—
607C22×C4—102no—
608C22×C4—102no—
609C22×C4—101no—
610C22×C4C2×D3×D511yescharacteristic
611Q16—62no—
612Q16—302no—
613SD16—62no—
614SD16—62no—
615SD16—302no—
616SD16—302no—
617D8—62no—
618D8—302no—
619M16—32no—
620M16—61no—
621M16—152no—
622M16—301no—
623C2×C8—61no—
624C2×C8—301no—
625C4⋊C4—304no—
626C4⋊C4—301no—
627C22⋊C4—304no—
628C22⋊C4—301no—
629C42—152no—
630C3×C5#302011yescharacteristic, complemented, Hall
631C22×C3—22no—
632C22×C3—41no—
633C22×C3—42no—
634C22×C3—102no—
635C22×C3—202no—
636C22×C3#408311yescharacteristic
637C22×C3#408311yescharacteristic
638C22×C3C2×D4×D511yescharacteristic
639C2×D3—42no—
640C2×D3—41no—
641C3×C4—22no—
642C3×C4—104no—
643C3×C4—102no—
644C3×C4#408311yescharacteristic
645C3×C4#408311yescharacteristic
646C3×C4C2×D4×D511yescharacteristic
647C3×C4C22×C22⋊D511yescharacteristic
648Dic3—41no—
649Dic3—202no—
650C2×C5—21no—
651C2×C5—21no—
652C2×C5—21no—
653C2×C5—42no—
654C2×C5—241no—
655C2×C5C2×#95311yescharacteristic
656D5—42no—
657C23—21no—
658C23—61no—
659C23—101no—
660C23D5×#6711yescharacteristic
661Q8—21no—
662Q8—52no—
663Q8—61no—
664Q8—61no—
665Q8—108no—
666Q8—102no—
667Q8—102no—
668Q8—102no—
669Q8—102no—
670Q8—101no—
671Q8C2×#120112yes—
672D4—22no—
673D4—22no—
674D4—21no—
675D4—52no—
676D4—61no—
677D4—61no—
678D4—108no—
679D4—102no—
680D4—102no—
681D4—101no—
682D4—121no—
683D4—121no—
684D4C2×#120112yes—
685C2×C4—21no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—54no—
689C2×C4—61no—
690C2×C4—108no—
691C2×C4—108no—
692C2×C4—102no—
693C2×C4—102no—
694C2×C4—101no—
695C2×C4—102no—
696C2×C4—102no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—302no—
700C2×C4C2×#120111yescharacteristic
701C2×C4C2×#120111yescharacteristic
702C2×C4D5×#6711yescharacteristic
703C2×C4D5×#6711yescharacteristic
704C2×C4D5×#6711yescharacteristic
705C2×C4C22×D3×D511yescharacteristic
706C8—62no—
707C8—302no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—42no—
712C2×C3—202no—
713C2×C3C2×#408311yescharacteristic
714D3—81no—
715C5#8411611yescharacteristic, complemented, Sylow
716C22—22no—
717C22—41no—
718C22—42no—
719C22—102no—
720C22—122no—
721C22—121no—
722C22—202no—
723C22#9156311yescharacteristic
724C22#9156311yescharacteristic
725C22C2×D5×#6711yescharacteristic
726C4—22no—
727C4—104no—
728C4—102no—
729C4—121no—
730C4—602no—
731C4#9156311yescharacteristic
732C4#9156311yescharacteristic
733C4C22×#120111yescharacteristic
734C4C2×D5×#6711yescharacteristic
735C3#1061573711yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—42no—
740C2—202no—
741C2—241no—
742C2C2×#9156311yescharacteristic
subgroupG/H
centerC2C2×#91563
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC2×C3×C5C2×#120
hypercenterC2×#41D3×D5
hypocenterC3×C5#3020
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4150C2semidirect
2. C5×#5822C2semidirect
3. #11754255C2semidirect
4. #11754138C2semidirect
5. #11751337C2semidirect
6. #11749462C2semidirect
7. #11749456C2semidirect
8. #11748420C2semidirect
9. C2×#90961C2semidirect
26. C5×#951C22semidirect
28. C5×#949C22semidirect
33. #91385C22semidirect
34. #91370C22semidirect
37. #91307C22semidirect
38. #91299C22semidirect
41. #91121C22semidirect
42. #90976C22semidirect
43. #90961C22semidirect
45. C2×#4150D3semidirect
121. #5822D5semidirect
227. #951C2×D5semidirect
231. #949C2×D5semidirect
630. C3×C5#3020semidirect
715. C5#84116semidirect
735. C3#10615737semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#41502
C5×#58222
#117542552
#117541382
#117513372
#117494622
#117494562
#117484202
C2×#909612
#106157373
#841165