Finite Group Databasebeta

← #14417802

Subgroups — #14417802

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#91269C211yesmaximal, characteristic
2#11753671C211yesmaximal, characteristic, complemented
3#11753336C211yesmaximal, characteristic, complemented
4#11750953C211yesmaximal, characteristic, complemented
5C5×#4852C211yesmaximal, characteristic, complemented
6C3×D5×#106C211yesmaximal, characteristic, complemented
7#11747807C211yesmaximal, characteristic, complemented
8#11747789C211yesmaximal, characteristic, complemented
9#11747645C211yesmaximal, characteristic, complemented
10#11747500C211yesmaximal, characteristic, complemented
11#11747498C211yesmaximal, characteristic, complemented
12#11747470C211yesmaximal, characteristic, complemented
13#11747281C211yesmaximal, characteristic, complemented
14#11747276C211yesmaximal, characteristic, complemented
15#11747236C211yesmaximal, characteristic, complemented
16#10611381—31nomaximal, Hall
17C2×#6773C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20#91782C2211yescharacteristic
21#91776C2211yescharacteristic
22C2×C5×#204C2211yescharacteristic
23C5×#893C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27C3×D5×C4⋊C4C2211yescharacteristic
28#91444—21no—
29C4×#1202—21no—
30#91440—21no—
31C4×#1201—21no—
32#91435C2211yescharacteristic
33#91428C2211yescharacteristic
34#91404—21no—
35#91403—21no—
36#91400—21no—
37D3×#683—21no—
38#91357C2211yescharacteristic
39#91344C2211yescharacteristic
40#91340C2211yescharacteristic
41C2×#6663C2211yescharacteristic
42C2×#6654C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44#91269C418yescomplemented
45C3×C5×#106C2211yescharacteristic
46C8×Dic15C2211yescharacteristic
47#91094C2211yescharacteristic
48#91093C2211yescharacteristic
49C5×C8×Dic3C2211yescharacteristic
50C5×#810C2211yescharacteristic
51C5×#809C2211yescharacteristic
52C3×#3949C2211yescharacteristic
53C3×#3940C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90974C2211yescharacteristic
56#90972C2211yescharacteristic
57#90968C2211yescharacteristic
58#90966C2211yescharacteristic
59#90954C2211yescharacteristic
60#90953C2211yescharacteristic
61#79106—51nomaximal, Hall
62C2×#4062—31no—
63#65908—31no—
64#65880—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65319—31no—
68#65303—31no—
69D5×#106D311yescharacteristic, complemented
70#65141—31no—
71#65092—31no—
72#65078—31no—
73#65074—31no—
74#65060—31no—
75C4×#677—31no—
76#64978—31no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C5×Dic6C2311yescharacteristic
83C2×C3×C4×D5—21no—
84C2×C3×C4×D5—21no—
85C2×C3×C4×D5C2311yescharacteristic
86C2×#1202—21no—
87C2×#1201—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92#6773—22no—
93#6773C2×C414yescomplemented
94#6772—22no—
95#6772C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99#6714—21no—
100#6712—21no—
101C4×Dic15—21no—
102C4×Dic15C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104#6706C2×C414yescomplemented
105C5×(C2×D3)⋊C4—21no—
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C5×#204C2×C414yescomplemented
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C2×C3×#168C2311yescharacteristic
116C3×C8×D5C2×C414yescomplemented
117Dic3⋊Dic5—21no—
118#6669—21no—
119#6668D411yescharacteristic
120#6668D411yescharacteristic
121#6667—21no—
122(C2×D3)⋊Dic5—21no—
123#6665D411yescharacteristic
124#6665D411yescharacteristic
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6663C2×C414yescomplemented
128#6654C2×C414yescomplemented
129#6649—22no—
130C2×#904—51no—
131#5504—51no—
132#5504—51no—
133C2×C3×#106—51no—
134#5101—51no—
135#4966—51no—
136#4966—51no—
137#4869—51no—
138#4869—51no—
139#4853—51no—
140#4853—51no—
141#4852—51no—
142#4852—51no—
143#4852—51no—
144#4852D511yescharacteristic, complemented
145C2×#713—31no—
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×#683—61no—
156#4062—38no—
157C2×#677—31no—
158C2×#676—31no—
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4039—61no—
162D5×C4⋊C4—61no—
163D5×C4⋊C4C2×D311yescharacteristic
164D5×C4⋊C4C2×D311yescharacteristic
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170#4018—31no—
171#4018—61no—
172C4×Dic10—31no—
173C5×#106C2×D311yescharacteristic
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3949C2×D311yescharacteristic
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940C2×D311yescharacteristic
187#3940C2×D311yescharacteristic
188#3935—31no—
189#2952—151noSylow
190C22×D15—21no—
191C22×C5×D3—21no—
192C22×C3×D5C2×D411yescharacteristic
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15C2×D411yescharacteristic
198C2×Dic15C2×D411yescharacteristic
199D60—21no—
200D60C22×C412yes—
201C4×D15—81no—
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C5×D12—21no—
208C5×D12C22×C412yes—
209C4×C5×D3—81no—
210C5×Dic6—21no—
211C5×Dic6C22×C412yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5C2×D411yescharacteristic
215C3×C4×D5—81no—
216C3×C4×D5—81no—
217C3×C4×D5C22×C412yes—
218C3×C4×D5#4112yes—
219#1202—24no—
220#1201—24no—
221#1200—24no—
222#1200—81no—
223D3×Dic5—24no—
224D3×Dic5—81no—
225C3×C5×C8C22×C412yes—
226C3⋊#168—21no—
227C3×#168C22×C412yes—
228C5×C3⋊C8—21no—
229C2×#235—51no—
230C2×#235—51no—
231C22×C3×C8—51no—
232C2×C3×C4⋊C4—51no—
233C2×C3×C4⋊C4—51no—
234C4×#67—101no—
235C4×#67—101no—
236C4×#67—101no—
237C4×#67—101no—
238#926—51no—
239C2×#208—51no—
240C2×Dic12—51no—
241#904—58no—
242C2×D24—51no—
243C2×#204—51no—
244C2×#204C2×D511yescharacteristic
245#893—51no—
246#893—51no—
247#893—51no—
248#893C2×D511yescharacteristic
249#892—101no—
250#892—101no—
251D3×C4⋊C4—101no—
252D3×C4⋊C4—101no—
253#887—51no—
254#887—51no—
255#887—51no—
256#887C2×D511yescharacteristic
257C3×#106—51no—
258C3×#106—51no—
259C3×#106—51no—
260C3×#106C2×D511yescharacteristic
261#815—51no—
262#815—51no—
263C8×Dic3—51no—
264C8×Dic3C2×D511yescharacteristic
265#810—51no—
266#810—51no—
267#810—51no—
268#810C2×D511yescharacteristic
269#809—51no—
270#809—51no—
271#809—51no—
272#809C2×D511yescharacteristic
273C2×C5×Q8—31no—
274C2×C5×D4—31no—
275C22×C4×C5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279#713—34no—
280#713—62no—
281#711—34no—
282#711—62no—
283C2×D20—31no—
284C2×D20—61no—
285C2×C4×D5—21no—
286C2×C4×D5—21no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5C22×D311yescharacteristic
291C2×Dic10—31no—
292C5×SD16—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—61no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C42×C5—61no—
301C22⋊Dic5—61no—
302#689—34no—
303#686—34no—
304#685—31no—
305#685—31no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—21no—
313#683—31no—
314#683—31no—
315#683—61no—
316#683—61no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—62no—
325C8×D5C4×D314yescomplemented
326C2×#135—151no—
327#520—151no—
328#520—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—51no—
338#417—151no—
339#417—151no—
340#405—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—41no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—21no—
357Dic15—21no—
358C3×Dic5—41no—
359C3×Dic5—41no—
360C3×Dic5C4×D412yes—
361C5×Dic3—22no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C22×C3×C4—51no—
365C22×C3×C4—101no—
366C22×C3×C4—101no—
367C2×#67—101no—
368C2×#67—101no—
369#235—54no—
370#235—54no—
371#235—102no—
372#235—102no—
373C2×D12—51no—
374C2×D12C22×D511yescharacteristic
375C2×C4×D3—21no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×Dic6—51no—
382C2×Dic6C22×D511yescharacteristic
383C2×C3×C8—51no—
384C2×C3×C8—54no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—51no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4—101no—
390C3×C4⋊C4C22×D511yescharacteristic
391C3×C4⋊C4C22×D511yescharacteristic
392#217—51no—
393#217—51no—
394(C2×D3)⋊C4—21no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398C4⋊Dic3—51no—
399C4⋊Dic3—51no—
400Dic3⋊C4—21no—
401Dic3⋊C4—101no—
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404C4×Dic3—21no—
405C4×Dic3—51no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3C22×D511yescharacteristic
410#208—102no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8C22×D511yescharacteristic
413Dic12—54no—
414D24—54no—
415#204—54no—
416#204C4×D514yescomplemented
417C23×C5—61no—
418C22×D5—61no—
419C22×D5D3×D411yescharacteristic
420C5×Q8—32no—
421C5×Q8—61no—
422C5×D4—32no—
423C5×D4—61no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—31no—
428C2×C4×C5—61no—
429C2×C4×C5—241no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C2×Dic5—21no—
433C2×Dic5—21no—
434C2×Dic5—31no—
435C2×Dic5—31no—
436C2×Dic5—61no—
437C2×Dic5—64no—
438C2×Dic5—241no—
439C2×Dic5D3×D411yescharacteristic
440D20—32no—
441D20—64no—
442D20—61no—
443C4×D5—64no—
444C4×D5—81no—
445C4×D5—81no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23912yes—
450Dic10—32no—
451Dic10—61no—
452C5×C8—61no—
453C5×C8C2×C4×D312yes—
454#168—61no—
455#168C2×C4×D312yes—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—31no—
461C2×SD16—151no—
462C2×D8—151no—
463C2×M16—151no—
464C22×C8—51no—
465C4×Q8—31no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—151no—
478#117—301no—
479#117—301no—
480C2×C4⋊C4—51no—
481C2×C4⋊C4—51no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#106—51no—
485#106—51no—
486#106—51no—
487#106D3×D511yescharacteristic
488#103—31no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102—151no—
496#97—151no—
497#97—151no—
498C4×C8—31no—
499C4×C8—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57711yescharacteristic
502C2×C3×C5#57711yescharacteristic
503D15—42no—
504C3×D5—22no—
505C5×D3—42no—
506C23×C3—51no—
507C22×D3—21no—
508C22×D3—101no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—51no—
512C2×C3×C4—52no—
513C2×C3×C4—52no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4—401no—
517C2×C3×C4—401no—
518C2×C3×C4C23×D511yescharacteristic
519#67—104no—
520#67—104no—
521C2×Dic3—21no—
522C2×Dic3—51no—
523C2×Dic3—51no—
524C2×Dic3—101no—
525C2×Dic3D4×D511yescharacteristic
526C2×Dic3D4×D511yescharacteristic
527D12—21no—
528D12—52no—
529D12—101no—
530D12C2×C4×D512yes—
531C4×D3—81no—
532C4×D3—104no—
533C4×D3—104no—
534C4×D3—401no—
535C4×D3—401no—
536C4×D3—401no—
537Dic6—21no—
538Dic6—52no—
539Dic6—101no—
540Dic6C2×C4×D512yes—
541C3×C8—52no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—21no—
544C3⋊C8—101no—
545C22×C5—62no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—21no—
550C2×D5—21no—
551C2×D5—62no—
552C2×D5—121no—
553C2×D5—121no—
554C2×D5#89312yes—
555C4×C5—41no—
556C4×C5—41no—
557C4×C5—62no—
558C4×C5—61no—
559C4×C5—61no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5C2×#23911yescharacteristic
562Dic5—41no—
563Dic5—41no—
564Dic5—62no—
565Dic5—61no—
566Dic5—61no—
567Dic5#89312yes—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—31no—
573C2×Q8—151no—
574C2×D4—31no—
575C2×D4—151no—
576C2×D4—301no—
577C2×D4—301no—
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—101no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—34no—
589SD16—154no—
590D8—154no—
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—54no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—51no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—101no—
601C4⋊C4—101no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4C2×D3×D511yescharacteristic
608C4⋊C4C2×D3×D511yescharacteristic
609C22⋊C4—61no—
610C22⋊C4—151no—
611C22⋊C4—151no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—61no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#295211yescharacteristic, complemented, Hall
622C22×C3—52no—
623C22×C3—101no—
624C22×C3—101no—
625C22×C3C2×D4×D511yescharacteristic
626C2×D3—22no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—102no—
630C2×D3—201no—
631C2×D3—201no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—52no—
635C3×C4—201no—
636C3×C4—201no—
637C3×C4C22×C4×D511yescharacteristic
638C3×C4D5×#4111yescharacteristic
639Dic3—21no—
640Dic3—21no—
641Dic3—22no—
642Dic3—101no—
643Dic3—101no—
644Dic3—102no—
645C2×C5—122no—
646C2×C5C2×#89311yescharacteristic
647C2×C5#576211yescharacteristic
648C2×C5#576211yescharacteristic
649D5—22no—
650D5—122no—
651C23—51no—
652C23—61no—
653C23—301no—
654Q8—32no—
655Q8—61no—
656Q8—152no—
657Q8—301no—
658D4—32no—
659D4—61no—
660D4—152no—
661D4—304no—
662D4—304no—
663D4—301no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—51no—
669C2×C4—52no—
670C2×C4—52no—
671C2×C4—61no—
672C2×C4—101no—
673C2×C4—101no—
674C2×C4—151no—
675C2×C4—151no—
676C2×C4—241no—
677C2×C4—304no—
678C2×C4—304no—
679C2×C4—301no—
680C2×C4—401no—
681C2×C4—401no—
682C2×C4—1201no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4C22×D3×D511yescharacteristic
686C8—52no—
687C8—61no—
688C8—301no—
689C8C4×D3×D512yes—
690C2×C3—102no—
691C2×C3C4×D4×D511yescharacteristic
692C2×C3#6609611yescharacteristic
693C2×C3#6610411yescharacteristic
694D3—42no—
695D3—202no—
696C5#7910611yescharacteristic, complemented, Sylow
697C22—52no—
698C22—62no—
699C22—101no—
700C22—101no—
701C22—121no—
702C22—121no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22D3×D4×D511yescharacteristic
707C4—41no—
708C4—41no—
709C4—52no—
710C4—61no—
711C4—61no—
712C4—62no—
713C4—201no—
714C4—201no—
715C4—301no—
716C4—301no—
717C4—302no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23911yescharacteristic
720C3#1061138111yescharacteristic, complemented, Sylow
721C2—102no—
722C2—122no—
723C2—602no—
724C2D5×#89311yescharacteristic
725C2#1175408011yescharacteristic
726C2#1175408711yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC2×#91269C2
cosocleC2×C3×C4×C5C24
hypercenter#106D3×D5
hypocenterC3×C5#2952
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. #11753671C2semidirect
3. #11753336C2semidirect
4. #11750953C2semidirect
5. C5×#4852C2semidirect
6. C3×D5×#106C2semidirect
7. #11747807C2semidirect
8. #11747789C2semidirect
9. #11747645C2semidirect
10. #11747500C2semidirect
11. #11747498C2semidirect
12. #11747470C2semidirect
13. #11747281C2semidirect
14. #11747276C2semidirect
15. #11747236C2semidirect
44. #91269C4semidirect
69. D5×#106D3semidirect
93. #6773C2×C4semidirect
95. #6772C2×C4semidirect
104. #6706C2×C4semidirect
110. C5×#204C2×C4semidirect
116. C3×C8×D5C2×C4semidirect
127. #6663C2×C4semidirect
128. #6654C2×C4semidirect
144. #4852D5semidirect
325. C8×D5C4×D3semidirect
416. #204C4×D5semidirect
621. C3×C5#2952semidirect
696. C5#79106semidirect
720. C3#10611381semidirect

Maximal subgroups

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

subgroupindex
C2×#912692
#117536712
#117533362
#117509532
C5×#48522
C3×D5×#1062
#117478072
#117477892
#117476452
#117475002
#117474982
#117474702
#117472812
#117472762
#117472362
#106113813
#791065