Finite Group Databasebeta

← #14435594

Subgroups — #14435594

Order 1920.

812 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
1#11756402C211yesmaximal, characteristic, complemented
2#11756280C211yesmaximal, characteristic, complemented
3C3×C5×#485C211yesmaximal, characteristic, complemented
4#11751147C211yesmaximal, characteristic, complemented
5#11751104C211yesmaximal, characteristic, complemented
6#11750991C211yesmaximal, characteristic, complemented
7#11750973C211yesmaximal, characteristic, complemented
8#11750971C211yesmaximal, characteristic, complemented
9#11750970C211yesmaximal, characteristic, complemented
10#11750920C211yesmaximal, characteristic, complemented
11#11750920C211yesmaximal, characteristic, complemented
12#11750918C211yesmaximal, characteristic, complemented
13#11750889C211yesmaximal, characteristic, complemented
14#11750833C211yesmaximal, characteristic
15#11750821C211yesmaximal, characteristic, complemented
16#10613227—31nomaximal, Hall
17C22×D60C2211yescharacteristic
18C3×C5×C22⋊Q8C2211yescharacteristic
19C3×C5×#117C2211yescharacteristic
20#91836C2211yescharacteristic, complemented
21Q8×Dic15C2211yescharacteristic, complemented
22C2×#6717C2211yescharacteristic
23C2×#6717C2211yescharacteristic
24#91819C2211yescharacteristic
25#91815C2211yescharacteristic
26C2×D120C2211yescharacteristic
27C2×D120C2211yescharacteristic
28#91787—21no—
29#91786—21no—
30#91782C2211yescharacteristic
31#91782C2211yescharacteristic
32#91782C2211yescharacteristic
33#91782C2211yescharacteristic
34#91782C2211yescharacteristic, complemented
35#91777C2211yescharacteristic, complemented
36#91774—21no—
37#91772—21no—
38C22⋊C4×D15—21no—
39C22⋊C4×D15—21no—
40C4×D60—21no—
41C4×D60—21no—
42C3×C5×#107C2211yescharacteristic, complemented
43C3×C5×#106C2211yescharacteristic, complemented
44C3×C5×#103C2211yescharacteristic, complemented
45C3×C5×#103C2211yescharacteristic, complemented
46C3×C5×C22⋊C8C2211yescharacteristic
47#91114C2211yescharacteristic
48#91105C2211yescharacteristic
49#91105C2211yescharacteristic
50#91099C2211yescharacteristic, complemented
51#91098C2211yescharacteristic, complemented
52#91098C2211yescharacteristic, complemented
53C8×Dic15C2211yescharacteristic, complemented
54#91093C2211yescharacteristic
55#91093C2211yescharacteristic
56#91093C2211yescharacteristic, complemented
57#91093C2211yescharacteristic, complemented
58#91092C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60#81496—51nomaximal, Hall
61#65977—31no—
62#65855—31no—
63C5×#485D311yescharacteristic, complemented
64#65335—31no—
65#65292—31no—
66#65179—31no—
67#65161—31no—
68#65159—31no—
69#65158—31no—
70#65108—31no—
71#65108—31no—
72#65106—31no—
73#65077—31no—
74#65021—31no—
75#65009—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C22×C3×C4×C5C2311yescharacteristic
79C2×#1220—21no—
80C2×D60—21no—
81C2×D60—22no—
82C2×D60—22no—
83C2×D60C2311yescharacteristic
84C2×D60C2311yescharacteristic
85C2×D60C2311yescharacteristic
86C2×C4×D15—21no—
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×Dic30—21no—
92C2×C3×C5×C8C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C22⋊C4—21no—
99C3×C5×C22⋊C4—21no—
100C3×C42×C5—21no—
101#6719D411yescharacteristic
102#6719D411yescharacteristic
103#6717—22no—
104#6717—22no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714—21no—
113C4⋊Dic15—21no—
114C4⋊Dic15D411yescharacteristic
115C4⋊Dic15D411yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118C4×Dic15—21no—
119C4×Dic15C2311yescharacteristic
120C4×Dic15C2311yescharacteristic
121C2×C3⋊#168C2311yescharacteristic
122C2×C3⋊#168C2311yescharacteristic
123D120—22no—
124D120—22no—
125#5643—51no—
126#5521—51no—
127C3×#485D511yescharacteristic, complemented
128#5046—51no—
129#5003—51no—
130#4890—51no—
131#4872—51no—
132#4870—51no—
133#4869—51no—
134#4819—51no—
135#4819—51no—
136#4817—51no—
137#4788—51no—
138#4732—51no—
139#4720—51no—
140C22×D20—31no—
141C5×C22⋊Q8C2×D311yescharacteristic
142C5×#117C2×D311yescharacteristic
143#4093—31no—
144Q8×Dic5—31no—
145C2×#688—31no—
146C2×#688—31no—
147#4076—31no—
148#4072—31no—
149C2×D40—31no—
150C2×D40—31no—
151#4044—61no—
152#4043—61no—
153#4039—31no—
154#4039—31no—
155#4039—31no—
156#4039—31no—
157#4039—31no—
158#4034—31no—
159#4031—61no—
160#4029—61no—
161D5×C22⋊C4—61no—
162D5×C22⋊C4—61no—
163C4×D20—61no—
164C4×D20—61no—
165C5×#107C2×D311yescharacteristic, complemented
166C5×#106C2×D311yescharacteristic, complemented
167C5×#103C2×D311yescharacteristic, complemented
168C5×#103C2×D311yescharacteristic, complemented
169C5×C22⋊C8C2×D311yescharacteristic
170C22⋊#168—31no—
171#3953—31no—
172#3953—31no—
173#3947—31no—
174#3946—31no—
175#3946—31no—
176C8×Dic5—31no—
177#3941—31no—
178#3941—31no—
179#3941—31no—
180#3941—31no—
181#3940—31no—
182#3939—31no—
183#3118—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×D15—21no—
186C22×D15—21no—
187C22×D15—24no—
188C22×D15—21no—
189C22×D15—81no—
190C22×D15—81no—
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201#1220—81no—
202C2×Dic15—21no—
203C2×Dic15C2×D411yescharacteristic
204C2×Dic15C2×D411yescharacteristic
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207D60—24no—
208D60—21no—
209D60—21no—
210D60—21no—
211D60—21no—
212D60#4112yes—
213D60#4112yes—
214C4×D15—81no—
215C4×D15—81no—
216C4×D15—81no—
217C4×D15—81no—
218C4×D15—81no—
219Dic30—81no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C22×D12—51no—
225C3×C22⋊Q8C2×D511yescharacteristic
226C3×#117C2×D511yescharacteristic
227#947—51no—
228Q8×Dic3—51no—
229C2×#215—51no—
230C2×#215—51no—
231#930—51no—
232#926—51no—
233C2×D24—51no—
234C2×D24—51no—
235#898—101no—
236#897—101no—
237#893—51no—
238#893—51no—
239#893—51no—
240#893—51no—
241#893—51no—
242#888—51no—
243#885—101no—
244#883—101no—
245D3×C22⋊C4—101no—
246D3×C22⋊C4—101no—
247C4×D12—101no—
248C4×D12—101no—
249C3×#107C2×D511yescharacteristic, complemented
250C3×#106C2×D511yescharacteristic, complemented
251C3×#103C2×D511yescharacteristic, complemented
252C3×#103C2×D511yescharacteristic, complemented
253C3×C22⋊C8C2×D511yescharacteristic
254#830—51no—
255#821—51no—
256#821—51no—
257#815—51no—
258Dic3⋊C8—51no—
259Dic3⋊C8—51no—
260C8×Dic3—51no—
261#809—51no—
262#809—51no—
263#809—51no—
264#809—51no—
265#808—51no—
266#807—51no—
267C23×D5—61no—
268C2×C5×Q8C22×D311yescharacteristic
269C22×C4×C5C22×D311yescharacteristic
270C2×C22⋊D5—61no—
271C2×D20—31no—
272C2×D20—31no—
273C2×D20—31no—
274C2×D20—62no—
275C2×D20—62no—
276C2×D20—61no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×Dic10—61no—
283C2×C5×C8C22×D311yescharacteristic
284C2×C5×C8C22×D311yescharacteristic
285C5×C4⋊C4—21no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C22⋊C4—21no—
290C5×C22⋊C4—21no—
291C42×C5—21no—
292C22⋊Dic5—31no—
293C22⋊Dic5—31no—
294#688—62no—
295#688—62no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300#685—61no—
301#685—61no—
302#685—61no—
303#685—61no—
304C4⋊Dic5—31no—
305C4⋊Dic5—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308#683—61no—
309C4×Dic5—31no—
310C4×Dic5—31no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314D40—62no—
315D40—62no—
316#542—151no—
317#518—151no—
318#485D1511yescharacteristic, complemented
319#482—151no—
320#476—151no—
321#474—151no—
322#463—151no—
323#463—151no—
324#450—151no—
325#447—151no—
326#442—151no—
327#440—151no—
328C4×SD16—151no—
329C4×D8—151no—
330#433—151no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—22no—
336C2×D15—22no—
337C2×D15—41no—
338C2×D15—41no—
339C2×D15—41no—
340C2×D15—41no—
341C2×D15—41no—
342C2×D15—41no—
343C2×D15—41no—
344C2×D15—84no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5—41no—
348C3×C4×C5—41no—
349C3×C4×C5—41no—
350C3×C4×C5C2×#4111yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—21no—
353Dic15—21no—
354Dic15—21no—
355Dic15—21no—
356Dic15—41no—
357C23×D3—101no—
358C2×C3×Q8C22×D511yescharacteristic
359C22×C3×C4C22×D511yescharacteristic
360C2×#67—101no—
361C2×D12—51no—
362C2×D12—51no—
363C2×D12—51no—
364C2×D12—102no—
365C2×D12—102no—
366C2×D12—101no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×Dic6—101no—
373C2×C3×C8C22×D511yescharacteristic
374C2×C3×C8C22×D511yescharacteristic
375C3×C4⋊C4—21no—
376C3×C4⋊C4C22×D511yescharacteristic
377C3×C4⋊C4C22×D511yescharacteristic
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C22⋊C4—21no—
380C3×C22⋊C4—21no—
381C3×C42—21no—
382#217—51no—
383#217—51no—
384#215—102no—
385#215—102no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4—101no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—51no—
396C4⋊Dic3—51no—
397C4⋊Dic3—101no—
398Dic3⋊C4—101no—
399C4×Dic3—51no—
400C4×Dic3—51no—
401C4×Dic3—101no—
402C2×C3⋊C8—51no—
403C2×C3⋊C8—51no—
404D24—102no—
405D24—102no—
406C23×C5D3×D411yescharacteristic
407C22×D5—61no—
408C22×D5—61no—
409C22×D5—64no—
410C22×D5—61no—
411C22×D5—241no—
412C22×D5—241no—
413C5×Q8—21no—
414C5×Q8—21no—
415C2×C4×C5—21no—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5D3×D411yescharacteristic
422C2×C4×C5C23×D311yescharacteristic
423C22⋊D5—241no—
424C2×Dic5—31no—
425C2×Dic5—31no—
426C2×Dic5—31no—
427C2×Dic5—31no—
428C2×Dic5—61no—
429D20—32no—
430D20—32no—
431D20—64no—
432D20—61no—
433D20—61no—
434D20—61no—
435D20—61no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439C4×D5—241no—
440C4×D5—241no—
441Dic10—241no—
442C5×C8—21no—
443C5×C8—21no—
444#168—61no—
445#168—61no—
446C22×D4—151no—
447C2×SD16—151no—
448C2×SD16—151no—
449C2×D8—151no—
450C2×D8—151no—
451C4⋊Q8—151no—
452#126—301no—
453#124—151no—
454#124—301no—
455#123—301no—
456C22⋊Q8—301no—
457C22⋊Q8C2×D1511yescharacteristic
458#121—151no—
459C4×Q8—151no—
460C4×D4—151no—
461C4×D4—151no—
462C4×D4—151no—
463C4×D4—151no—
464C4×D4—151no—
465C4×D4—301no—
466C4×D4—301no—
467#117—151no—
468#117C2×D1511yescharacteristic
469C2×C22⋊C4—301no—
470C2×C22⋊C4—301no—
471#107—151no—
472#107C2×D1511yescharacteristic, complemented
473#106—151no—
474#106C2×D1511yescharacteristic, complemented
475C4⋊C8—151no—
476C4⋊C8—151no—
477#103C2×D1511yescharacteristic, complemented
478#103C2×D1511yescharacteristic, complemented
479#102—151no—
480#102—151no—
481#102—151no—
482#102—151no—
483#102—151no—
484#102—151no—
485C22⋊C8—151no—
486C22⋊C8C2×D1511yescharacteristic
487#97—151no—
488C4×C8—151no—
489C2×C3×C5—41no—
490C2×C3×C5#52511yescharacteristic
491C2×C3×C5#57611yescharacteristic
492C2×C3×C5#57711yescharacteristic
493D15—42no—
494D15—42no—
495D15—81no—
496C23×C3D4×D511yescharacteristic
497C22×D3—101no—
498C22×D3—101no—
499C22×D3—104no—
500C22×D3—101no—
501C22×D3—401no—
502C22×D3—401no—
503C3×Q8—21no—
504C3×Q8—21no—
505C2×C3×C4—21no—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4C23×D511yescharacteristic
513#67—401no—
514C2×Dic3—51no—
515C2×Dic3—51no—
516C2×Dic3—51no—
517C2×Dic3—51no—
518C2×Dic3—101no—
519D12—52no—
520D12—52no—
521D12—104no—
522D12—101no—
523D12—101no—
524D12—101no—
525D12—101no—
526C4×D3—401no—
527C4×D3—401no—
528C4×D3—401no—
529C4×D3—401no—
530C4×D3—401no—
531Dic6—401no—
532C3×C8—21no—
533C3×C8—21no—
534C3⋊C8—101no—
535C3⋊C8—101no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—62no—
541C2×D5—62no—
542C2×D5—121no—
543C2×D5—121no—
544C2×D5—121no—
545C2×D5—121no—
546C2×D5—121no—
547C2×D5—121no—
548C2×D5—121no—
549C2×D5—244no—
550C4×C5—21no—
551C4×C5—41no—
552C4×C5—41no—
553C4×C5—41no—
554C4×C5—41no—
555C4×C5D3×#4111yescharacteristic
556C4×C5D3×#4111yescharacteristic
557Dic5—61no—
558Dic5—61no—
559Dic5—61no—
560Dic5—61no—
561Dic5—121no—
562C24—301no—
563C2×Q8—301no—
564C2×Q8C22×D1511yescharacteristic
565C2×D4—151no—
566C2×D4—151no—
567C2×D4—151no—
568C2×D4—302no—
569C2×D4—302no—
570C2×D4—301no—
571C2×D4—301no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4C22×D1511yescharacteristic
578SD16—302no—
579SD16—302no—
580D8—302no—
581D8—302no—
582C2×C8—151no—
583C2×C8—151no—
584C2×C8C22×D1511yescharacteristic
585C2×C8C22×D1511yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—151no—
588C4⋊C4—151no—
589C4⋊C4—151no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C22×D1511yescharacteristic
593C4⋊C4C22×D1511yescharacteristic
594C4⋊C4C22×D1511yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—151no—
598C22⋊C4—151no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C22⋊C4—301no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C22⋊C4—301no—
607C42—21no—
608C42—151no—
609C42—151no—
610C42—301no—
611C3×C5#311811yescharacteristic, complemented, Hall
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3C2×D4×D511yescharacteristic
616C2×D3—102no—
617C2×D3—102no—
618C2×D3—201no—
619C2×D3—201no—
620C2×D3—201no—
621C2×D3—201no—
622C2×D3—201no—
623C2×D3—201no—
624C2×D3—201no—
625C2×D3—404no—
626C3×C4—21no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4D5×#4111yescharacteristic
632C3×C4D5×#4111yescharacteristic
633Dic3—101no—
634Dic3—101no—
635Dic3—101no—
636Dic3—101no—
637Dic3—201no—
638C2×C5—41no—
639C2×C5#565611yescharacteristic
640C2×C5#576911yescharacteristic
641C2×C5#577811yescharacteristic
642D5—122no—
643D5—122no—
644D5—241no—
645C23—304no—
646C23—301no—
647C23—301no—
648C23—301no—
649C23—1201no—
650C23—1201no—
651C23D4×D1511yescharacteristic
652Q8—21no—
653Q8—21no—
654Q8—1201no—
655D4—152no—
656D4—152no—
657D4—304no—
658D4—301no—
659D4—301no—
660D4—301no—
661D4—301no—
662D4—1201no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—151no—
670C2×C4—151no—
671C2×C4—151no—
672C2×C4—151no—
673C2×C4—301no—
674C2×C4—1201no—
675C2×C4—1201no—
676C2×C4—1201no—
677C2×C4—1201no—
678C2×C4—1201no—
679C2×C4D4×D1511yescharacteristic
680C2×C4C23×D1511yescharacteristic
681C8—21no—
682C8—21no—
683C8—301no—
684C8—301no—
685C2×C3—41no—
686C2×C3#6599011yescharacteristic
687C2×C3#6610311yescharacteristic
688C2×C3#6611211yescharacteristic
689D3—202no—
690D3—202no—
691D3—401no—
692C5#8149611yescharacteristic, complemented, Sylow
693C22—21no—
694C22—21no—
695C22—21no—
696C22—302no—
697C22—302no—
698C22—601no—
699C22—601no—
700C22—601no—
701C22—601no—
702C22—601no—
703C22—601no—
704C22—601no—
705C22—1204no—
706C22C2×D4×D1511yescharacteristic
707C4—21no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—301no—
713C4—301no—
714C4—301no—
715C4—301no—
716C4—601no—
717C4#41×D1511yescharacteristic
718C4#41×D1511yescharacteristic
719C3#1061322711yescharacteristic, complemented, Sylow
720C2—41no—
721C2—602no—
722C2—602no—
723C2—1201no—
724C2#1175641511yescharacteristic
725C2#1175652811yescharacteristic
726C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#485C2
socleC22×C3×C5C22×D4
prime radical#11750833C2
hypercenter#485D15
hypocenterC3×C5#3118
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #485

Complements

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

NH ≅ G/Ntype
1. #11756402C2semidirect
2. #11756280C2semidirect
3. C3×C5×#485C2semidirect
4. #11751147C2semidirect
5. #11751104C2semidirect
6. #11750991C2semidirect
7. #11750973C2semidirect
8. #11750971C2semidirect
9. #11750970C2semidirect
10. #11750920C2semidirect
11. #11750920C2semidirect
12. #11750918C2semidirect
13. #11750889C2semidirect
15. #11750821C2semidirect
20. #91836C22semidirect
21. Q8×Dic15C22semidirect
34. #91782C22semidirect
35. #91777C22semidirect
42. C3×C5×#107C22semidirect
43. C3×C5×#106C22semidirect
44. C3×C5×#103C22semidirect
45. C3×C5×#103C22semidirect
50. #91099C22semidirect
51. #91098C22semidirect
52. #91098C22semidirect
53. C8×Dic15C22semidirect
56. #91093C22semidirect
57. #91093C22semidirect
58. #91092C22semidirect
59. #91091C22semidirect
63. C5×#485D3semidirect
127. C3×#485D5semidirect
165. C5×#107C2×D3semidirect
166. C5×#106C2×D3semidirect
167. C5×#103C2×D3semidirect
168. C5×#103C2×D3semidirect
249. C3×#107C2×D5semidirect
250. C3×#106C2×D5semidirect
251. C3×#103C2×D5semidirect
252. C3×#103C2×D5semidirect
318. #485D15semidirect
472. #107C2×D15semidirect
474. #106C2×D15semidirect
477. #103C2×D15semidirect
478. #103C2×D15semidirect
611. C3×C5#3118semidirect
692. C5#81496semidirect
719. C3#10613227semidirect

Maximal subgroups

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

subgroupindex
#117564022
#117562802
C3×C5×#4852
#117511472
#117511042
#117509912
#117509732
#117509712
#117509702
#117509202
#117509182
#117508892
#117508332
#117508212
#106132273
#814965