Finite Group Databasebeta

← #14419576

Subgroups — #14419576

Order 1920.

744 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756287C211yesmaximal, characteristic
2C3×C5×#405C211yesmaximal, characteristic, complemented
3#11751228C211yesmaximal, characteristic, complemented
4#11751228C211yesmaximal, characteristic, complemented
5#11751212C211yesmaximal, characteristic, complemented
6C8×#1220C211yesmaximal, characteristic, complemented
7#11751101C211yesmaximal, characteristic, complemented
8#11750809C211yesmaximal, characteristic, complemented
9#11750807C211yesmaximal, characteristic, complemented
10D15×#97C211yesmaximal, characteristic, complemented
11#11750802C211yesmaximal, characteristic, complemented
12#11750791C211yesmaximal, characteristic, complemented
13C8×D60C211yesmaximal, characteristic, complemented
14#11750786C211yesmaximal, characteristic, complemented
15#11750780C211yesmaximal, characteristic, complemented
16#10610289—31nomaximal, Hall
17C2×C3×C5×M16C2211yescharacteristic
18C22×C3×C5×C8C2211yescharacteristic
19C3×C5×#117C2211yescharacteristic
20C4×#1220C2211yescharacteristic
21C4×#1220C2211yescharacteristic
22C2×#6705C2211yescharacteristic
23C2×C8×D15C2211yescharacteristic
24C2×C8×D15C2211yescharacteristic
25C2×C8×D15C2211yescharacteristic
26#91787C411yescharacteristic
27#91785C411yescharacteristic
28#91783C411yescharacteristic
29#91778C411yescharacteristic
30#91774C411yescharacteristic
31#91773C411yescharacteristic
32#91772C411yescharacteristic
33#91768C411yescharacteristic
34C4×D60C2211yescharacteristic
35#91761C2211yescharacteristic
36C42×D15C2211yescharacteristic
37C4×Dic30C2211yescharacteristic
38C3×C5×#97C2211yescharacteristic
39C3×C5×#97C2211yescharacteristic
40C3×C4×C5×C8C2211yescharacteristic
41C3×C4×C5×C8C2211yescharacteristic
42#91114C2211yescharacteristic
43#91114C2211yescharacteristic
44#91104C2211yescharacteristic
45#91104C2211yescharacteristic
46#91104C2211yescharacteristic
47#91104C2211yescharacteristic
48#91099C2211yescharacteristic
49#91099C2211yescharacteristic
50#91099C2211yescharacteristic
51#91098C2211yescharacteristic
52#91098C2211yescharacteristic
53#91098C2211yescharacteristic
54#91098C2211yescharacteristic
55C8×Dic15C2211yescharacteristic
56C4⋊(C3⋊#168)C2211yescharacteristic
57C4⋊(C3⋊#168)C2211yescharacteristic
58#91087C2211yescharacteristic
59C4×C3⋊#168C2211yescharacteristic
60#78558—51nomaximal, Hall
61#65862—31no—
62C5×#405D311yescharacteristic, complemented
63#65416—31no—
64#65416—31no—
65#65400—31no—
66C8×C22⋊D5—31no—
67#65289—31no—
68#64997—31no—
69#64995—31no—
70D5×#97—31no—
71#64990—31no—
72#64979—31no—
73C8×D20—31no—
74#64974—31no—
75#64968—31no—
76C22×C3×C4×C5C2311yescharacteristic
77C2×#1220C2×C411yescharacteristic
78C2×#1220C2×C411yescharacteristic
79C2×D60C2×C411yescharacteristic
80C2×C4×D15C2×C411yescharacteristic
81C2×C4×D15C2×C411yescharacteristic
82C2×C4×D15C2311yescharacteristic
83C2×C4×D15C2311yescharacteristic
84C2×Dic30C2×C411yescharacteristic
85C3×C5×M16—22no—
86C2×C3×C5×C8—22no—
87C2×C3×C5×C8C2311yescharacteristic
88C2×C3×C5×C8C2311yescharacteristic
89C2×C3×C5×C8C2311yescharacteristic
90C2×C3×C5×C8C2311yescharacteristic
91C3×C5×C4⋊C4C2×C411yescharacteristic
92C3×C5×C4⋊C4C2×C411yescharacteristic
93C3×C5×C22⋊C4C2×C411yescharacteristic
94C3×C5×C22⋊C4C2×C411yescharacteristic
95C3×C42×C5C2311yescharacteristic
96C3×C42×C5C2311yescharacteristic
97#6719C2×C411yescharacteristic
98#6719C2×C411yescharacteristic
99#6714C2×C411yescharacteristic
100#6714C2×C411yescharacteristic
101#6714C2×C411yescharacteristic
102#6714C2×C411yescharacteristic
103#6714C2×C411yescharacteristic
104#6714C2×C411yescharacteristic
105C4⋊Dic15C2×C411yescharacteristic
106C4⋊Dic15C2×C411yescharacteristic
107#6712C2×C411yescharacteristic
108#6712C2×C411yescharacteristic
109#6712C2×C411yescharacteristic
110#6712C2×C411yescharacteristic
111#6712C2×C411yescharacteristic
112#6712C2×C411yescharacteristic
113C4×Dic15C2×C411yescharacteristic
114C4×Dic15C2×C411yescharacteristic
115C4×Dic15C2311yescharacteristic
116C4×Dic15C2311yescharacteristic
117C2×C3⋊#168C2311yescharacteristic
118C2×C3⋊#168C2311yescharacteristic
119C2×C3⋊#168C2311yescharacteristic
120C2×C3⋊#168C2311yescharacteristic
121#6705—22no—
122C8×D15—22no—
123C8×D15—22no—
124C8×D15—22no—
125#5528—51no—
126C3×#405D511yescharacteristic, complemented
127#5127—51no—
128#5127—51no—
129#5111—51no—
130C8×#67—51no—
131#5000—51no—
132#4708—51no—
133#4706—51no—
134D3×#97—51no—
135#4701—51no—
136#4690—51no—
137C8×D12—51no—
138#4685—51no—
139#4679—51no—
140C2×C5×M16C2×D311yescharacteristic
141C22×C5×C8C2×D311yescharacteristic
142C5×#117C2×D311yescharacteristic
143C4×C22⋊D5—31no—
144C4×C22⋊D5—31no—
145C2×#676—31no—
146C2×C8×D5—31no—
147C2×C8×D5—31no—
148C2×C8×D5—31no—
149#4044—31no—
150#4042—31no—
151#4040—31no—
152#4035—31no—
153#4031—31no—
154#4030—31no—
155#4029—31no—
156#4025—31no—
157C4×D20—31no—
158#4018—31no—
159C42×D5—31no—
160C4×Dic10—31no—
161C5×#97C2×D311yescharacteristic
162C5×#97C2×D311yescharacteristic
163C4×C5×C8C2×D311yescharacteristic
164C4×C5×C8C2×D311yescharacteristic
165C22⋊#168—31no—
166C22⋊#168—31no—
167#3952—31no—
168#3952—31no—
169#3952—31no—
170#3952—31no—
171#3947—31no—
172#3947—31no—
173#3947—31no—
174#3946—31no—
175#3946—31no—
176#3946—31no—
177#3946—31no—
178C8×Dic5—31no—
179C4⋊#168—31no—
180C4⋊#168—31no—
181#3935—31no—
182C4×#168—31no—
183#2968—151noSylow
184C23×C3×C5C22×C411yescharacteristic
185C22×D15C22×C411yescharacteristic
186C22×D15C22×C411yescharacteristic
187C2×C3×C4×C5—21no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5C22×C411yescharacteristic
190C2×C3×C4×C5C22×C411yescharacteristic
191C2×C3×C4×C5C22×C411yescharacteristic
192C2×C3×C4×C5C22×C411yescharacteristic
193C2×C3×C4×C5C22×C411yescharacteristic
194C2×C3×C4×C5C2411yescharacteristic
195#1220—22no—
196#1220—41no—
197C2×Dic15C22×C411yescharacteristic
198C2×Dic15C22×C411yescharacteristic
199C2×Dic15C22×C411yescharacteristic
200C2×Dic15C22×C411yescharacteristic
201C2×Dic15C22×C411yescharacteristic
202C2×Dic15C22×C411yescharacteristic
203D60—22no—
204C4×D15—22no—
205C4×D15—21no—
206C4×D15—21no—
207C4×D15—21no—
208C4×D15—21no—
209C4×D15—41no—
210Dic30—41no—
211C3×C5×C8—21no—
212C3×C5×C8—21no—
213C3×C5×C8#4112yes—
214C3×C5×C8#4112yes—
215C3⋊#168—21no—
216C3⋊#168—21no—
217C3⋊#168—21no—
218C3⋊#168—21no—
219C2×C3×M16C2×D511yescharacteristic
220C22×C3×C8C2×D511yescharacteristic
221C3×#117C2×D511yescharacteristic
222C4×#67—51no—
223C4×#67—51no—
224C2×ΓL(1,𝔽25)—51no—
225C2×D3×C8—51no—
226C2×D3×C8—51no—
227C2×D3×C8—51no—
228#898—51no—
229#896—51no—
230#894—51no—
231#889—51no—
232#885—51no—
233#884—51no—
234#883—51no—
235#879—51no—
236C4×D12—51no—
237#872—51no—
238C42×D3—51no—
239C4×Dic6—51no—
240C3×#97C2×D511yescharacteristic
241C3×#97C2×D511yescharacteristic
242C3×C4×C8C2×D511yescharacteristic
243C3×C4×C8C2×D511yescharacteristic
244#830—51no—
245#830—51no—
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248(C2×D3)⋊C8—51no—
249(C2×D3)⋊C8—51no—
250#815—51no—
251#815—51no—
252#815—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8—51no—
255Dic3⋊C8—51no—
256Dic3⋊C8—51no—
257C8×Dic3—51no—
258C4⋊(C3⋊C8)—51no—
259C4⋊(C3⋊C8)—51no—
260#803—51no—
261C4×C3⋊C8—51no—
262C22×C4×C5C22×D311yescharacteristic
263C2×C22⋊D5—31no—
264C2×C22⋊D5—31no—
265C2×D20—31no—
266C2×C4×D5—31no—
267C2×C4×D5—31no—
268C2×C4×D5—31no—
269C2×C4×D5—31no—
270C2×Dic10—31no—
271C5×M16—22no—
272C2×C5×C8—22no—
273C2×C5×C8C22×D311yescharacteristic
274C2×C5×C8C22×D311yescharacteristic
275C2×C5×C8C22×D311yescharacteristic
276C2×C5×C8C22×D311yescharacteristic
277C5×C4⋊C4C4×D311yescharacteristic
278C5×C4⋊C4C4×D311yescharacteristic
279C5×C22⋊C4C4×D311yescharacteristic
280C5×C22⋊C4C4×D311yescharacteristic
281C42×C5C22×D311yescharacteristic
282C42×C5C22×D311yescharacteristic
283C22⋊Dic5—31no—
284C22⋊Dic5—31no—
285#685—31no—
286#685—31no—
287#685—31no—
288#685—31no—
289#685—31no—
290#685—31no—
291C4⋊Dic5—31no—
292C4⋊Dic5—31no—
293#683—31no—
294#683—31no—
295#683—31no—
296#683—31no—
297#683—31no—
298#683—31no—
299C4×Dic5—31no—
300C4×Dic5—31no—
301C4×Dic5—31no—
302C4×Dic5—31no—
303C2×#168—31no—
304C2×#168—31no—
305C2×#168—31no—
306C2×#168—31no—
307#676—62no—
308C8×D5—62no—
309C8×D5—62no—
310C8×D5—62no—
311#529—151no—
312#446—151no—
313#446—151no—
314#435—151no—
315#435—151no—
316#435—151no—
317#435—151no—
318C8×D4—151no—
319C8×D4—151no—
320#433—151no—
321#433—151no—
322#431—151no—
323#405—151no—
324#405D1511yescharacteristic, complemented
325C2×#97—151no—
326C22×C3×C5—21no—
327C22×C3×C5—21no—
328C22×C3×C5—21no—
329C22×C3×C5C23×C411yescharacteristic
330C2×D15—21no—
331C2×D15—21no—
332C2×D15—21no—
333C2×D15—21no—
334C2×D15—21no—
335C2×D15#13112yes—
336C3×C4×C5—21no—
337C3×C4×C5—21no—
338C3×C4×C5—21no—
339C3×C4×C5—21no—
340C3×C4×C5—21no—
341C3×C4×C5C2×#4111yescharacteristic
342C3×C4×C5C2×#4111yescharacteristic
343Dic15—21no—
344Dic15—21no—
345Dic15—21no—
346Dic15—21no—
347Dic15—21no—
348Dic15—21no—
349C22×C3×C4C22×D511yescharacteristic
350C2×#67—51no—
351C2×#67—51no—
352C2×D12—51no—
353C2×C4×D3—51no—
354C2×C4×D3—51no—
355C2×C4×D3—51no—
356C2×C4×D3—51no—
357C2×Dic6—51no—
358C3×M16—22no—
359C2×C3×C8—22no—
360C2×C3×C8C22×D511yescharacteristic
361C2×C3×C8C22×D511yescharacteristic
362C2×C3×C8C22×D511yescharacteristic
363C2×C3×C8C22×D511yescharacteristic
364C3×C4⋊C4C4×D511yescharacteristic
365C3×C4⋊C4C4×D511yescharacteristic
366C3×C22⋊C4C4×D511yescharacteristic
367C3×C22⋊C4C4×D511yescharacteristic
368C3×C42C22×D511yescharacteristic
369C3×C42C22×D511yescharacteristic
370#217—51no—
371#217—51no—
372(C2×D3)⋊C4—51no—
373(C2×D3)⋊C4—51no—
374(C2×D3)⋊C4—51no—
375(C2×D3)⋊C4—51no—
376(C2×D3)⋊C4—51no—
377(C2×D3)⋊C4—51no—
378C4⋊Dic3—51no—
379C4⋊Dic3—51no—
380Dic3⋊C4—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4—51no—
384Dic3⋊C4—51no—
385Dic3⋊C4—51no—
386C4×Dic3—51no—
387C4×Dic3—51no—
388C4×Dic3—51no—
389C4×Dic3—51no—
390C2×C3⋊C8—51no—
391C2×C3⋊C8—51no—
392C2×C3⋊C8—51no—
393C2×C3⋊C8—51no—
394ΓL(1,𝔽25)—102no—
395D3×C8—102no—
396D3×C8—102no—
397D3×C8—102no—
398C23×C5C2×C4×D311yescharacteristic
399C22×D5—31no—
400C22×D5—31no—
401C2×C4×C5—21no—
402C2×C4×C5—21no—
403C2×C4×C5C2×C4×D311yescharacteristic
404C2×C4×C5C2×C4×D311yescharacteristic
405C2×C4×C5C2×C4×D311yescharacteristic
406C2×C4×C5C2×C4×D311yescharacteristic
407C2×C4×C5C2×C4×D311yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—62no—
410C22⋊D5—121no—
411C2×Dic5—31no—
412C2×Dic5—31no—
413C2×Dic5—31no—
414C2×Dic5—31no—
415C2×Dic5—31no—
416C2×Dic5—31no—
417D20—62no—
418C4×D5—62no—
419C4×D5—61no—
420C4×D5—61no—
421C4×D5—61no—
422C4×D5—61no—
423C4×D5—121no—
424Dic10—121no—
425C5×C8—21no—
426C5×C8—21no—
427C5×C8#23512yes—
428C5×C8#23512yes—
429#168—61no—
430#168—61no—
431#168—61no—
432#168—61no—
433C2×M16—151no—
434C2×M16C2×D1511yescharacteristic
435C22×C8—151no—
436C22×C8—151no—
437C22×C8—151no—
438C22×C8C2×D1511yescharacteristic
439#126—151no—
440#126—151no—
441#125—151no—
442#124—151no—
443#123—151no—
444#123—151no—
445C22⋊Q8—151no—
446#121—151no—
447C4×Q8—151no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—151no—
451#117—151no—
452#117C2×D1511yescharacteristic
453C2×C42—151no—
454C4⋊C8—151no—
455C4⋊C8—151no—
456C4⋊C8—151no—
457C4⋊C8—151no—
458C4⋊C8—151no—
459C4⋊C8—151no—
460C22⋊C8—151no—
461C22⋊C8—151no—
462C22⋊C8—151no—
463C22⋊C8—151no—
464C22⋊C8—151no—
465C22⋊C8—151no—
466#97—151no—
467#97—151no—
468#97—151no—
469#97—151no—
470#97C2×D1511yescharacteristic
471#97C2×D1511yescharacteristic
472C4×C8—151no—
473C4×C8—151no—
474C4×C8C2×D1511yescharacteristic
475C4×C8C2×D1511yescharacteristic
476C2×C3×C5—41no—
477C2×C3×C5C4×#4111yescharacteristic
478C2×C3×C5C2×#13111yescharacteristic
479C2×C3×C5#56811yescharacteristic
480D15—22no—
481D15—41no—
482C23×C3C2×C4×D511yescharacteristic
483C22×D3—51no—
484C22×D3—51no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4C2×C4×D511yescharacteristic
488C2×C3×C4C2×C4×D511yescharacteristic
489C2×C3×C4C2×C4×D511yescharacteristic
490C2×C3×C4C2×C4×D511yescharacteristic
491C2×C3×C4C2×C4×D511yescharacteristic
492C2×C3×C4C23×D511yescharacteristic
493#67—102no—
494#67—201no—
495C2×Dic3—51no—
496C2×Dic3—51no—
497C2×Dic3—51no—
498C2×Dic3—51no—
499C2×Dic3—51no—
500C2×Dic3—51no—
501D12—102no—
502C4×D3—102no—
503C4×D3—101no—
504C4×D3—101no—
505C4×D3—101no—
506C4×D3—101no—
507C4×D3—201no—
508Dic6—201no—
509C3×C8—21no—
510C3×C8—21no—
511C3×C8#70912yes—
512C3×C8#70912yes—
513C3⋊C8—101no—
514C3⋊C8—101no—
515C3⋊C8—101no—
516C3⋊C8—101no—
517C22×C5—21no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5C22×C4×D311yescharacteristic
521C2×D5—32no—
522C2×D5—61no—
523C2×D5—61no—
524C2×D5—61no—
525C2×D5—61no—
526C2×D5—61no—
527C4×C5—21no—
528C4×C5—21no—
529C4×C5—21no—
530C4×C5—21no—
531C4×C5—21no—
532C4×C5C2×#23511yescharacteristic
533C4×C5C2×#23511yescharacteristic
534Dic5—61no—
535Dic5—61no—
536Dic5—61no—
537Dic5—61no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—151no—
541C2×D4—151no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—151no—
545C22×C4—151no—
546C22×C4—151no—
547C22×C4—151no—
548C22×C4C22×D1511yescharacteristic
549M16—22no—
550M16—302no—
551C2×C8—22no—
552C2×C8—151no—
553C2×C8—151no—
554C2×C8—151no—
555C2×C8—151no—
556C2×C8—302no—
557C2×C8—302no—
558C2×C8—302no—
559C2×C8C22×D1511yescharacteristic
560C2×C8C22×D1511yescharacteristic
561C2×C8C22×D1511yescharacteristic
562C2×C8C22×D1511yescharacteristic
563C4⋊C4—151no—
564C4⋊C4—151no—
565C4⋊C4—151no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—151no—
569C4⋊C4—151no—
570C4⋊C4—151no—
571C4⋊C4C4×D1511yescharacteristic
572C4⋊C4C4×D1511yescharacteristic
573C22⋊C4—151no—
574C22⋊C4—151no—
575C22⋊C4—151no—
576C22⋊C4—151no—
577C22⋊C4—151no—
578C22⋊C4—151no—
579C22⋊C4—151no—
580C22⋊C4—151no—
581C22⋊C4C4×D1511yescharacteristic
582C22⋊C4C4×D1511yescharacteristic
583C42—151no—
584C42—151no—
585C42—151no—
586C42—151no—
587C42C22×D1511yescharacteristic
588C42C22×D1511yescharacteristic
589C3×C5#296811yescharacteristic, complemented, Hall
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3C22×C4×D511yescharacteristic
594C2×D3—52no—
595C2×D3—101no—
596C2×D3—101no—
597C2×D3—101no—
598C2×D3—101no—
599C2×D3—101no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4C2×#70911yescharacteristic
606C3×C4C2×#70911yescharacteristic
607Dic3—101no—
608Dic3—101no—
609Dic3—101no—
610Dic3—101no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—41no—
614C2×C5C4×#23511yescharacteristic
615C2×C5D3×#13111yescharacteristic
616C2×C5#575011yescharacteristic
617D5—62no—
618D5—121no—
619C23—151no—
620C23—151no—
621C23C2×C4×D1511yescharacteristic
622Q8—601no—
623D4—302no—
624D4—302no—
625D4—601no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—151no—
629C2×C4—151no—
630C2×C4—151no—
631C2×C4—151no—
632C2×C4—151no—
633C2×C4—151no—
634C2×C4—302no—
635C2×C4—301no—
636C2×C4—301no—
637C2×C4—301no—
638C2×C4—301no—
639C2×C4—601no—
640C2×C4C2×C4×D1511yescharacteristic
641C2×C4C2×C4×D1511yescharacteristic
642C2×C4C2×C4×D1511yescharacteristic
643C2×C4C2×C4×D1511yescharacteristic
644C2×C4C2×C4×D1511yescharacteristic
645C2×C4C23×D1511yescharacteristic
646C8—21no—
647C8—21no—
648C8—301no—
649C8—301no—
650C8—301no—
651C8—301no—
652C8#681712yes—
653C8#681712yes—
654C2×C3—41no—
655C2×C3C4×#70911yescharacteristic
656C2×C3D5×#13111yescharacteristic
657C2×C3#6608411yescharacteristic
658D3—102no—
659D3—201no—
660C5#7855811yescharacteristic, complemented, Sylow
661C22—21no—
662C22—21no—
663C22—21no—
664C22—152no—
665C22—301no—
666C22—301no—
667C22—301no—
668C22—301no—
669C22—301no—
670C22C22×C4×D1511yescharacteristic
671C4—21no—
672C4—21no—
673C4—21no—
674C4—21no—
675C4—21no—
676C4—301no—
677C4—301no—
678C4—301no—
679C4—301no—
680C4—301no—
681C4—301no—
682C4C2×#681711yescharacteristic
683C4C2×#681711yescharacteristic
684C3#1061028911yescharacteristic, complemented, Sylow
685C2—41no—
686C2—302no—
687C2—601no—
688C2C4×#681711yescharacteristic
689C2D15×#13111yescharacteristic
690C2#1175650911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C23×D15
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×#405C2
prime radical#91773C4
cosocleC2×C3×C4×C5C24
hypercenter#405D15
hypocenterC3×C5#2968
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ #405

Complements

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

NH ≅ G/Ntype
2. C3×C5×#405C2semidirect
3. #11751228C2semidirect
4. #11751228C2semidirect
5. #11751212C2semidirect
6. C8×#1220C2semidirect
7. #11751101C2semidirect
8. #11750809C2semidirect
9. #11750807C2semidirect
10. D15×#97C2semidirect
11. #11750802C2semidirect
12. #11750791C2semidirect
13. C8×D60C2semidirect
14. #11750786C2semidirect
15. #11750780C2semidirect
62. C5×#405D3semidirect
126. C3×#405D5semidirect
324. #405D15semidirect
589. C3×C5#2968semidirect
660. C5#78558semidirect
684. C3#10610289semidirect

Maximal subgroups

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

subgroupindex
#117562872
C3×C5×#4052
#117512282
#117512122
C8×#12202
#117511012
#117508092
#117508072
D15×#972
#117508022
#117507912
C8×D602
#117507862
#117507802
#106102893
#785585