Finite Group Databasebeta

← #14481501

Subgroups — #14481501

Order 1920.

2080 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#540C211yesmaximal, characteristic, complemented
2#11756478C211yesmaximal, characteristic, complemented
3#11756475C211yesmaximal, characteristic, complemented
4#11756457C211yesmaximal, characteristic, complemented
5#11756447C211yesmaximal, characteristic, complemented
6#11756419C214yesmaximal, complemented
7#11756408C214yesmaximal, complemented
8#11756372C214yesmaximal, complemented
9#11756365C212yesmaximal, complemented
10#11756362C212yesmaximal, complemented
11#11756359C214yesmaximal, complemented
12#11756320C212yesmaximal, complemented
13C4×#6819C212yesmaximal, complemented
14D15×#117C211yesmaximal, characteristic, complemented
15#11756277C211yesmaximal, characteristic, complemented
16#10618368—31nomaximal, Hall
17C2×#6819C2212yes—
18C22×C4×D15C2211yescharacteristic
19C3×C5×#127C2211yescharacteristic, complemented
20C3×C5×#125C2211yescharacteristic, complemented
21C3×C5×#123C2214yescomplemented
22C3×C5×#121C2214yes—
23C3×C5×#121C2212yes—
24C3×C4×C5×D4C2212yescomplemented
25C3×C5×#117C2211yescharacteristic
26#91828C2214yes—
27#91827C2212yes—
28#91827C2214yes—
29#91826C2214yes—
30#91825C2214yes—
31#91825C2212yescomplemented
32#91824C2214yes—
33#91824C2214yescomplemented
34D4×Dic15C2214yes—
35D4×Dic15C2212yescomplemented
36D4×Dic15C2214yescomplemented
37#91818C2214yes—
38C4×#1220C2214yes—
39#91815C2211yescharacteristic
40#91813C2212yes—
41#91813C2214yescomplemented
42C2×C4×Dic15C2214yescomplemented
43#91787C2214yes—
44#91786C2212yes—
45#91785C2214yes—
46#91781C2212yes—
47#91781C2212yes—
48C4⋊C4×D15C2212yes—
49#91779C2214yescomplemented
50#91778C2214yescomplemented
51#91777C2212yescomplemented
52#91776C2212yescomplemented
53#91776C2214yescomplemented
54#91774C2214yes—
55#91772C2214yes—
56#91770C2214yes—
57#91770C2214yes—
58C22⋊C4×D15C2212yes—
59#91768C2214yes—
60#91768C2214yescomplemented
61#91768C2214yescomplemented
62#91767C2214yescomplemented
63#91766C2212yes—
64#91766C2214yescomplemented
65#91761C2211yescharacteristic
66#91761C2211yescharacteristic
67C42×D15C2211yescharacteristic
68C42×D15C2211yescharacteristic
69#91759C2211yescharacteristic, complemented
70#91758C2211yescharacteristic, complemented
71C4×Dic30C2212yescomplemented
72#86467—51nomaximal, Hall
73C5×#540D311yescharacteristic, complemented
74#66053—31no—
75#66050—31no—
76#66031—31no—
77#66022—31no—
78#65994—34no—
79#65983—34no—
80#65947—34no—
81#65940—32no—
82#65937—32no—
83#65934—34no—
84#65895—32no—
85C4×#711—32no—
86D5×#117—31no—
87#65852—31no—
88C23×D15C2311yescharacteristic
89C2×C3×C5×D4C2312yes—
90C2×C3×C5×D4C2314yes—
91C2×C3×C5×D4C2314yes—
92C22×C3×C4×C5C2311yescharacteristic
93C22×C3×C4×C5C2314yes—
94C2×#1220C2314yes—
95C2×#1220C2314yes—
96C22×Dic15C2311yescharacteristic
97C22×Dic15C2314yes—
98C22×Dic15C2314yes—
99#6819—28no—
100C2×C4×D15—24no—
101C2×C4×D15C2311yescharacteristic
102C2×C4×D15C2311yescharacteristic
103C2×C4×D15C2311yescharacteristic
104C2×C4×D15C2312yes—
105C2×C4×D15C2312yes—
106C2×C4×D15C2311yescharacteristic
107C2×Dic30C2312yes—
108C2×Dic30C2314yes—
109C3×C5×C4⋊C4C2312yes—
110C3×C5×C4⋊C4C2314yes—
111C3×C5×C4⋊C4C2312yes—
112C3×C5×C22⋊C4C2312yes—
113C3×C5×C22⋊C4C2314yes—
114C3×C5×C22⋊C4C2314yes—
115C3×C42×C5C2311yescharacteristic
116C3×C42×C5C2311yescharacteristic
117#6719C2312yes—
118#6719C2314yes—
119#6719C2314yes—
120#6719C2314yes—
121#6719C2314yes—
122#6719C2314yes—
123#6714C2312yes—
124#6714C2312yes—
125#6714C2314yes—
126#6714C2314yes—
127C4⋊Dic15C2312yes—
128C4⋊Dic15C2314yes—
129C4⋊Dic15C2312yes—
130C4⋊Dic15C2314yes—
131#6712C2314yes—
132#6712C2314yes—
133#6712C2312yes—
134#6712C2312yes—
135#6712C2314yes—
136#6712C2314yes—
137#6712C2314yes—
138C4×Dic15C2314yes—
139C4×Dic15C2311yescharacteristic
140C4×Dic15C2311yescharacteristic
141C4×Dic15C2312yes—
142C4×Dic15C2312yes—
143C4×Dic15C2314yes—
144C4×Dic15C2314yes—
145C3×#540D511yescharacteristic, complemented
146#5719—51no—
147#5716—51no—
148#5698—51no—
149#5688—51no—
150#5660—54no—
151#5649—54no—
152#5613—54no—
153#5606—52no—
154#5603—52no—
155#5600—54no—
156#5561—52no—
157C4×#237—52no—
158D3×#117—51no—
159#5518—51no—
160C2×#711—32no—
161C22×C4×D5—31no—
162C5×#127C2×D311yescharacteristic, complemented
163C5×#125C2×D311yescharacteristic, complemented
164C5×#123C2×D314yescomplemented
165C5×#121C2×D314yes—
166C5×#121C2×D312yes—
167C4×C5×D4C2×D312yescomplemented
168C5×#117C2×D311yescharacteristic
169#4085—34no—
170#4084—34no—
171#4084—32no—
172#4083—34no—
173#4082—32no—
174#4082—34no—
175#4081—34no—
176#4081—34no—
177D4×Dic5—34no—
178D4×Dic5—32no—
179D4×Dic5—34no—
180#4075—34no—
181C4×C22⋊D5—34no—
182#4072—31no—
183#4070—32no—
184#4070—34no—
185C2×C4×Dic5—34no—
186#4044—34no—
187#4043—32no—
188#4042—34no—
189#4038—32no—
190#4038—32no—
191D5×C4⋊C4—32no—
192#4036—34no—
193#4035—34no—
194#4034—32no—
195#4033—32no—
196#4033—34no—
197#4031—34no—
198#4029—34no—
199#4027—34no—
200#4027—34no—
201D5×C22⋊C4—32no—
202#4025—34no—
203#4025—34no—
204#4025—34no—
205#4024—34no—
206#4023—32no—
207#4023—34no—
208#4018—31no—
209#4018—31no—
210C42×D5—31no—
211C42×D5—31no—
212#4016—31no—
213#4015—31no—
214C4×Dic10—32no—
215#3455—151noSylow
216C23×C3×C5C2411yescharacteristic
217C23×C3×C5C2414yes—
218C22×D15—22no—
219C22×D15—42no—
220C22×D15C2411yescharacteristic
221C22×D15C2411yescharacteristic
222C3×C5×D4—24no—
223C3×C5×D4—44no—
224C3×C5×D4—44no—
225C2×C3×C4×C5—22no—
226C2×C3×C4×C5—44no—
227C2×C3×C4×C5C2412yes—
228C2×C3×C4×C5C2414yes—
229C2×C3×C4×C5C2412yes—
230C2×C3×C4×C5C2411yescharacteristic
231C2×C3×C4×C5C2411yescharacteristic
232#1220—28no—
233#1220—44no—
234C2×Dic15—22no—
235C2×Dic15—28no—
236C2×Dic15—44no—
237C2×Dic15C2412yes—
238C2×Dic15C2414yes—
239C2×Dic15C2414yes—
240C2×Dic15C2412yes—
241C2×Dic15C2411yescharacteristic
242C2×Dic15C2411yescharacteristic
243C4×D15—22no—
244C4×D15—22no—
245C4×D15—22no—
246C4×D15—42no—
247C4×D15—42no—
248C4×D15#4114yes—
249Dic30—24no—
250Dic30—44no—
251C2×#237—52no—
252C22×C4×D3—51no—
253C3×#127C2×D511yescharacteristic, complemented
254C3×#125C2×D511yescharacteristic, complemented
255C3×#123C2×D514yescomplemented
256C3×#121C2×D514yes—
257C3×#121C2×D512yes—
258C3×C4×D4C2×D512yescomplemented
259C3×#117C2×D511yescharacteristic
260#939—54no—
261#938—54no—
262#938—52no—
263#937—54no—
264#936—52no—
265#936—54no—
266#935—54no—
267#935—54no—
268D4×Dic3—54no—
269D4×Dic3—52no—
270D4×Dic3—54no—
271#929—54no—
272C4×#67—54no—
273#926—51no—
274#924—54no—
275#924—52no—
276C2×C4×Dic3—54no—
277#898—54no—
278#897—52no—
279#896—54no—
280#892—52no—
281#892—52no—
282D3×C4⋊C4—52no—
283#890—54no—
284#889—54no—
285#888—52no—
286#887—54no—
287#887—52no—
288#885—54no—
289#883—54no—
290#67⋊C4—54no—
291#67⋊C4—54no—
292D3×C22⋊C4—52no—
293#879—54no—
294#879—54no—
295#879—54no—
296#878—54no—
297#877—54no—
298#877—52no—
299#872—51no—
300#872—51no—
301C42×D3—51no—
302C42×D3—51no—
303#870—51no—
304#869—51no—
305C4×Dic6—52no—
306C23×D5—31no—
307C2×C5×D4C22×D312yes—
308C2×C5×D4C22×D314yes—
309C2×C5×D4C22×D314yes—
310C22×C4×C5C22×D311yescharacteristic
311C22×C4×C5C22×D314yes—
312C2×C22⋊D5—34no—
313C2×C22⋊D5—34no—
314C22×Dic5—31no—
315C22×Dic5—34no—
316C22×Dic5—34no—
317#711—68no—
318C2×C4×D5—31no—
319C2×C4×D5—31no—
320C2×C4×D5—31no—
321C2×C4×D5—31no—
322C2×C4×D5—32no—
323C2×C4×D5—32no—
324C2×C4×D5—64no—
325C2×Dic10—32no—
326C2×Dic10—34no—
327C5×C4⋊C4C22×D312yes—
328C5×C4⋊C4C22×D312yes—
329C5×C4⋊C4C22×D314yes—
330C5×C22⋊C4C22×D312yes—
331C5×C22⋊C4C22×D314yes—
332C5×C22⋊C4C22×D314yes—
333C42×C5C22×D311yescharacteristic
334C42×C5C22×D311yescharacteristic
335C22⋊Dic5—34no—
336C22⋊Dic5—32no—
337C22⋊Dic5—34no—
338C22⋊Dic5—34no—
339C22⋊Dic5—34no—
340C22⋊Dic5—34no—
341#685—32no—
342#685—32no—
343#685—34no—
344#685—34no—
345C4⋊Dic5—32no—
346C4⋊Dic5—34no—
347C4⋊Dic5—32no—
348C4⋊Dic5—34no—
349#683—34no—
350#683—34no—
351#683—32no—
352#683—32no—
353#683—34no—
354#683—34no—
355#683—34no—
356C4×Dic5—34no—
357C4×Dic5—31no—
358C4×Dic5—31no—
359C4×Dic5—32no—
360C4×Dic5—32no—
361C4×Dic5—34no—
362C4×Dic5—34no—
363#542—152no—
364#542—152no—
365#541—151no—
366#541—151no—
367#540—151no—
368#540D1511yescharacteristic, complemented
369#539—154no—
370#538—154no—
371#533—151no—
372#532—151no—
373#529—154no—
374#529—154no—
375#525—152no—
376C4×#41—152no—
377C2×#117—151no—
378C22×C3×C5—24no—
379C22×C3×C5—21no—
380C22×C3×C5—24no—
381C22×C3×C5—24no—
382C22×C3×C5—22no—
383C22×C3×C5C2511yescharacteristic
384C2×D15—22no—
385C2×D15—21no—
386C2×D15—22no—
387C2×D15—44no—
388C2×D15C2×#4112yes—
389C3×C4×C5—21no—
390C3×C4×C5—24no—
391C3×C4×C5—22no—
392C3×C4×C5—22no—
393C3×C4×C5C2×#4112yes—
394Dic15—24no—
395Dic15—21no—
396Dic15—22no—
397Dic15—24no—
398Dic15—22no—
399Dic15C2×#4112yes—
400C23×D3—51no—
401C2×C3×D4C22×D512yes—
402C2×C3×D4C22×D514yes—
403C2×C3×D4C22×D514yes—
404C22×C3×C4C22×D511yescharacteristic
405C22×C3×C4C22×D514yes—
406C2×#67—54no—
407C2×#67—54no—
408C22×Dic3—51no—
409C22×Dic3—54no—
410C22×Dic3—54no—
411#237—108no—
412C2×C4×D3—51no—
413C2×C4×D3—51no—
414C2×C4×D3—51no—
415C2×C4×D3—51no—
416C2×C4×D3—52no—
417C2×C4×D3—52no—
418C2×C4×D3—104no—
419C2×Dic6—52no—
420C2×Dic6—54no—
421C3×C4⋊C4C22×D512yes—
422C3×C4⋊C4C22×D514yes—
423C3×C4⋊C4C22×D512yes—
424C3×C22⋊C4C22×D512yes—
425C3×C22⋊C4C22×D514yes—
426C3×C22⋊C4C22×D514yes—
427C3×C42C22×D511yescharacteristic
428C3×C42C22×D511yescharacteristic
429#217—54no—
430#217—52no—
431#217—54no—
432#217—54no—
433#217—54no—
434#217—54no—
435(C2×D3)⋊C4—52no—
436(C2×D3)⋊C4—52no—
437(C2×D3)⋊C4—54no—
438(C2×D3)⋊C4—54no—
439C4⋊Dic3—52no—
440C4⋊Dic3—54no—
441C4⋊Dic3—52no—
442C4⋊Dic3—54no—
443Dic3⋊C4—54no—
444Dic3⋊C4—54no—
445Dic3⋊C4—52no—
446Dic3⋊C4—52no—
447Dic3⋊C4—54no—
448Dic3⋊C4—54no—
449Dic3⋊C4—54no—
450C4×Dic3—54no—
451C4×Dic3—51no—
452C4×Dic3—51no—
453C4×Dic3—52no—
454C4×Dic3—52no—
455C4×Dic3—54no—
456C4×Dic3—54no—
457C23×C5C23×D311yescharacteristic
458C23×C5C23×D314yes—
459C22×D5—31no—
460C22×D5—31no—
461C22×D5—62no—
462C22×D5—122no—
463C5×D4—24no—
464C5×D4—44no—
465C5×D4—44no—
466C2×C4×C5—22no—
467C2×C4×C5—44no—
468C2×C4×C5C23×D312yes—
469C2×C4×C5C23×D314yes—
470C2×C4×C5C23×D312yes—
471C2×C4×C5C23×D311yescharacteristic
472C2×C4×C5C23×D311yescharacteristic
473C22⋊D5—68no—
474C22⋊D5—124no—
475C2×Dic5—31no—
476C2×Dic5—32no—
477C2×Dic5—34no—
478C2×Dic5—34no—
479C2×Dic5—32no—
480C2×Dic5—31no—
481C2×Dic5—62no—
482C2×Dic5—68no—
483C2×Dic5—124no—
484C4×D5—34no—
485C4×D5—62no—
486C4×D5—62no—
487C4×D5—62no—
488C4×D5—122no—
489C4×D5—122no—
490Dic10—64no—
491Dic10—124no—
492C2×#41—152no—
493C23×C4—151no—
494C4⋊Q8—152no—
495C4⋊Q8—151no—
496#127C2×D1511yescharacteristic, complemented
497#126—154no—
498#126—154no—
499#126—154no—
500#126—154no—
501#125—154no—
502#125—154no—
503#125—151no—
504#125C2×D1511yescharacteristic, complemented
505#124—154no—
506#124—152no—
507#124—154no—
508#123—154no—
509#123—154no—
510#123—154no—
511#123—154no—
512#123C2×D1514yescomplemented
513C22⋊Q8—152no—
514C22⋊Q8—154no—
515C22⋊Q8—152no—
516C22⋊Q8—154no—
517C22⋊Q8—154no—
518#121—152no—
519#121—154no—
520#121—154no—
521#121C2×D1512yes—
522#121C2×D1514yes—
523#120—154no—
524C4×Q8—152no—
525C4×Q8—154no—
526C4×Q8—152no—
527C4×D4—152no—
528C4×D4—154no—
529C4×D4—154no—
530C4×D4—154no—
531C4×D4—154no—
532C4×D4—154no—
533C4×D4C2×D1512yescomplemented
534#117—151no—
535#117—152no—
536#117—152no—
537#117—152no—
538#117—154no—
539#117—151no—
540#117—151no—
541#117C2×D1511yescharacteristic
542C2×C4⋊C4—152no—
543C2×C22⋊C4—152no—
544C2×C42—154no—
545C2×C42—151no—
546C2×C42—151no—
547C2×C3×C5—41no—
548C2×C3×C5—44no—
549C2×C3×C5C22×#4111yescharacteristic
550C2×C3×C5#58512yes—
551D15—22no—
552D15—41no—
553C23×C3C23×D511yescharacteristic
554C23×C3C23×D514yes—
555C22×D3—51no—
556C22×D3—51no—
557C22×D3—102no—
558C22×D3—202no—
559C3×D4—24no—
560C3×D4—44no—
561C3×D4—44no—
562C2×C3×C4—22no—
563C2×C3×C4—44no—
564C2×C3×C4C23×D512yes—
565C2×C3×C4C23×D514yes—
566C2×C3×C4C23×D512yes—
567C2×C3×C4C23×D511yescharacteristic
568C2×C3×C4C23×D511yescharacteristic
569#67—108no—
570#67—204no—
571C2×Dic3—51no—
572C2×Dic3—52no—
573C2×Dic3—54no—
574C2×Dic3—54no—
575C2×Dic3—52no—
576C2×Dic3—51no—
577C2×Dic3—102no—
578C2×Dic3—108no—
579C2×Dic3—204no—
580C4×D3—54no—
581C4×D3—102no—
582C4×D3—102no—
583C4×D3—102no—
584C4×D3—202no—
585C4×D3—202no—
586Dic6—104no—
587Dic6—204no—
588C22×C5—24no—
589C22×C5—21no—
590C22×C5—24no—
591C22×C5—24no—
592C22×C5—22no—
593C22×C5C24×D311yescharacteristic
594C2×D5—32no—
595C2×D5—62no—
596C2×D5—61no—
597C2×D5—62no—
598C2×D5—124no—
599C4×C5—21no—
600C4×C5—24no—
601C4×C5—22no—
602C4×C5—22no—
603C4×C5D3×#4112yes—
604Dic5—32no—
605Dic5—64no—
606Dic5—61no—
607Dic5—62no—
608Dic5—64no—
609Dic5—62no—
610C24—151no—
611#41—308no—
612C2×Q8—152no—
613C2×Q8—154no—
614C2×D4—154no—
615C2×D4—154no—
616C2×D4C22×D1512yes—
617C2×D4C22×D1514yes—
618C2×D4C22×D1514yes—
619C22×C4—151no—
620C22×C4—154no—
621C22×C4—151no—
622C22×C4—154no—
623C22×C4—151no—
624C22×C4—151no—
625C22×C4—151no—
626C22×C4—152no—
627C22×C4—152no—
628C22×C4—304no—
629C22×C4C22×D1511yescharacteristic
630C22×C4C22×D1514yes—
631C4⋊C4—152no—
632C4⋊C4—152no—
633C4⋊C4—152no—
634C4⋊C4—152no—
635C4⋊C4—154no—
636C4⋊C4—154no—
637C4⋊C4—154no—
638C4⋊C4—154no—
639C4⋊C4—154no—
640C4⋊C4—154no—
641C4⋊C4—154no—
642C4⋊C4C22×D1512yes—
643C4⋊C4C22×D1512yes—
644C4⋊C4C22×D1514yes—
645C22⋊C4—152no—
646C22⋊C4—154no—
647C22⋊C4—154no—
648C22⋊C4—154no—
649C22⋊C4—154no—
650C22⋊C4—154no—
651C22⋊C4—152no—
652C22⋊C4—152no—
653C22⋊C4—154no—
654C22⋊C4—154no—
655C22⋊C4C22×D1512yes—
656C22⋊C4C22×D1514yes—
657C22⋊C4C22×D1514yes—
658C42—152no—
659C42—152no—
660C42—154no—
661C42—151no—
662C42—151no—
663C42—154no—
664C42—154no—
665C42C22×D1511yescharacteristic
666C42C22×D1511yescharacteristic
667C3×C5#345511yescharacteristic, complemented, Hall
668C22×C3—24no—
669C22×C3—21no—
670C22×C3—24no—
671C22×C3—24no—
672C22×C3—22no—
673C22×C3C24×D511yescharacteristic
674C2×D3—52no—
675C2×D3—102no—
676C2×D3—101no—
677C2×D3—102no—
678C2×D3—204no—
679C3×C4—21no—
680C3×C4—24no—
681C3×C4—22no—
682C3×C4—22no—
683C3×C4D5×#4112yes—
684Dic3—52no—
685Dic3—104no—
686Dic3—101no—
687Dic3—102no—
688Dic3—104no—
689Dic3—102no—
690C2×C5—41no—
691C2×C5—44no—
692C2×C5C2×D3×#4111yescharacteristic
693C2×C5#596612yes—
694D5—62no—
695D5—121no—
696C23—151no—
697C23—151no—
698C23—302no—
699C23—602no—
700C23C23×D1511yescharacteristic
701C23C23×D1514yes—
702Q8—304no—
703Q8—604no—
704D4—24no—
705D4—44no—
706D4—44no—
707D4—308no—
708D4—604no—
709C2×C4—22no—
710C2×C4—44no—
711C2×C4—151no—
712C2×C4—154no—
713C2×C4—152no—
714C2×C4—152no—
715C2×C4—154no—
716C2×C4—154no—
717C2×C4—151no—
718C2×C4—302no—
719C2×C4—302no—
720C2×C4—302no—
721C2×C4—308no—
722C2×C4—302no—
723C2×C4—602no—
724C2×C4—602no—
725C2×C4—604no—
726C2×C4C23×D1512yes—
727C2×C4C23×D1514yes—
728C2×C4C23×D1512yes—
729C2×C4C23×D1511yescharacteristic
730C2×C4C23×D1511yescharacteristic
731C2×C3—41no—
732C2×C3—44no—
733C2×C3C2×D5×#4111yescharacteristic
734C2×C3#6628512yes—
735D3—102no—
736D3—201no—
737C5#8646711yescharacteristic, complemented, Sylow
738C22—21no—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—22no—
743C22—152no—
744C22—302no—
745C22—301no—
746C22—302no—
747C22—604no—
748C22C24×D1511yescharacteristic
749C4—21no—
750C4—22no—
751C4—24no—
752C4—22no—
753C4—152no—
754C4—301no—
755C4—304no—
756C4—302no—
757C4—304no—
758C4—302no—
759C4#41×D1512yes—
760C3#1061836811yescharacteristic, complemented, Sylow
761C2—41no—
762C2—44no—
763C2—302no—
764C2—601no—
765C2C2×#41×D1511yescharacteristic
766C2#1175714812yes—
subgroupG/H
center, FrattiniC22C24×D15
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#540C2
hypercenter#540D15
hypocenterC3×C5#3455
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #540

Complements

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

NH ≅ G/Ntype
1. C3×C5×#540C2semidirect
2. #11756478C2semidirect
3. #11756475C2semidirect
4. #11756457C2semidirect
5. #11756447C2semidirect
6. #11756419C2semidirect
7. #11756408C2semidirect
8. #11756372C2semidirect
9. #11756365C2semidirect
10. #11756362C2semidirect
11. #11756359C2semidirect
12. #11756320C2semidirect
13. C4×#6819C2semidirect
14. D15×#117C2semidirect
15. #11756277C2semidirect
19. C3×C5×#127C22semidirect
20. C3×C5×#125C22semidirect
21. C3×C5×#123C22semidirect
24. C3×C4×C5×D4C22semidirect
31. #91825C22semidirect
33. #91824C22semidirect
35. D4×Dic15C22semidirect
36. D4×Dic15C22semidirect
41. #91813C22semidirect
42. C2×C4×Dic15C22semidirect
49. #91779C22semidirect
50. #91778C22semidirect
51. #91777C22semidirect
52. #91776C22semidirect
53. #91776C22semidirect
60. #91768C22semidirect
61. #91768C22semidirect
62. #91767C22semidirect
64. #91766C22semidirect
69. #91759C22semidirect
70. #91758C22semidirect
71. C4×Dic30C22semidirect
73. C5×#540D3semidirect
145. C3×#540D5semidirect
162. C5×#127C2×D3semidirect
163. C5×#125C2×D3semidirect
164. C5×#123C2×D3semidirect
167. C4×C5×D4C2×D3semidirect
253. C3×#127C2×D5semidirect
254. C3×#125C2×D5semidirect
255. C3×#123C2×D5semidirect
258. C3×C4×D4C2×D5semidirect
368. #540D15semidirect
496. #127C2×D15semidirect
504. #125C2×D15semidirect
512. #123C2×D15semidirect
533. C4×D4C2×D15semidirect
667. C3×C5#3455semidirect
737. C5#86467semidirect
760. C3#10618368semidirect

Maximal subgroups

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

subgroupindex
C3×C5×#5402
#117564782
#117564752
#117564572
#117564472
#117564192
#117564082
#117563722
#117563652
#117563622
#117563592
#117563202
C4×#68192
D15×#1172
#117562772
#106183683
#864675