Finite Group Databasebeta

← D15×#485 #14431598

Subgroups — D15×#485 #14431598

Order 1920.

832 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D15×C22⋊Q8C211yesmaximal, characteristic
2D15×#117C211yesmaximal, characteristic
3C3×C5×#485C211yesmaximal, characteristic, complemented
4#11751146C211yesmaximal, characteristic, complemented
5#11751097C211yesmaximal, characteristic, complemented
6#11750989C211yesmaximal, characteristic, complemented
7D15×#107C211yesmaximal, characteristic, complemented
8#11750969C211yesmaximal, characteristic, complemented
9D15×#106C211yesmaximal, characteristic, complemented
10#11750916C211yesmaximal, characteristic, complemented
11#11750915C211yesmaximal, characteristic, complemented
12D15×#103C211yesmaximal, characteristic, complemented
13D15×#103C211yesmaximal, characteristic, complemented
14D15×C22⋊C8C211yesmaximal, characteristic
15#11750824C211yesmaximal, characteristic, complemented
16D5×#485—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C22×C4×D15C2211yescharacteristic
19C3×C5×C22⋊Q8C2211yescharacteristic
20C3×C5×#117C2211yescharacteristic
21#91835C2211yescharacteristic
22#91815C2211yescharacteristic
23#91813C2211yescharacteristic
24C2×C8×D15C2211yescharacteristic
25C2×C8×D15C2211yescharacteristic
26#91786C2211yescharacteristic
27#91785—21no—
28#91781C2211yescharacteristic
29#91781C2211yescharacteristic
30C4⋊C4×D15—21no—
31C4⋊C4×D15C2211yescharacteristic
32C4⋊C4×D15C2211yescharacteristic
33C4⋊C4×D15C2211yescharacteristic
34C22⋊C4×D15—21no—
35C22⋊C4×D15—21no—
36#91767—21no—
37#91766—21no—
38#91761—21no—
39C42×D15—21no—
40C3×C5×#107C2211yescharacteristic, complemented
41C3×C5×#106C2211yescharacteristic, complemented
42C3×C5×#103C2211yescharacteristic, complemented
43C3×C5×#103C2211yescharacteristic, complemented
44C3×C5×C22⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic, complemented
46#91119C2211yescharacteristic, complemented
47#91114C2211yescharacteristic
48#91104C2211yescharacteristic
49#91104C2211yescharacteristic
50#91102C2211yescharacteristic, complemented
51#91101C2211yescharacteristic, complemented
52#91100C2211yescharacteristic, complemented
53#91100C2211yescharacteristic, complemented
54#91094C2211yescharacteristic, complemented
55#91094C2211yescharacteristic, complemented
56#91092C2211yescharacteristic, complemented
57#91092C2211yescharacteristic, complemented
58#91091C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60D3×#485—51nomaximal, Hall
61D5×C22⋊Q8—31no—
62D5×#117—31no—
63C5×#485D311yescharacteristic, complemented
64#65334—31no—
65#65285—31no—
66#65177—31no—
67D5×#107—31no—
68#65156—31no—
69D5×#106—31no—
70#65104—31no—
71#65103—31no—
72D5×#103—31no—
73D5×#103—31no—
74D5×C22⋊C8—31no—
75#65012—31no—
76C23×D15D411yescharacteristic
77C2×C3×C5×Q8C2311yescharacteristic
78C22×C3×C4×C5C2311yescharacteristic
79C22×Dic15D411yescharacteristic
80Q8×D15—22no—
81Q8×D15—22no—
82C2×C4×D15—22no—
83C2×C4×D15—22no—
84C2×C4×D15—21no—
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C4×D15—21no—
88C2×C4×D15D411yescharacteristic
89C2×C4×D15D411yescharacteristic
90C2×C4×D15C2311yescharacteristic
91C2×C4×D15C2311yescharacteristic
92C2×Dic30—21no—
93C2×Dic30C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4—21no—
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C5×C22⋊C4—21no—
102C3×C42×C5—21no—
103#6719—21no—
104#6719—21no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109C4⋊Dic15—21no—
110C4⋊Dic15C2311yescharacteristic
111C4⋊Dic15C2311yescharacteristic
112C4⋊Dic15C2311yescharacteristic
113#6712—21no—
114#6712—21no—
115#6712—21no—
116#6712—21no—
117#6712—21no—
118C4×Dic15—21no—
119C4×Dic15—21no—
120C4×Dic15—21no—
121C2×C3⋊#168C2311yescharacteristic
122C2×C3⋊#168C2311yescharacteristic
123C8×D15—22no—
124C8×D15—22no—
125D3×C22⋊Q8—51no—
126D3×#117—51no—
127C3×#485D511yescharacteristic, complemented
128#5045—51no—
129#4996—51no—
130#4888—51no—
131D3×#107—51no—
132#4868—51no—
133D3×#106—51no—
134#4815—51no—
135#4814—51no—
136D3×#103—51no—
137D3×#103—51no—
138D3×C22⋊C8—51no—
139#4723—51no—
140C2×Q8×D5—31no—
141C22×C4×D5—31no—
142C5×C22⋊Q8C2×D311yescharacteristic
143C5×#117C2×D311yescharacteristic
144#4092—31no—
145#4072—31no—
146#4070—31no—
147C2×C8×D5—31no—
148C2×C8×D5—31no—
149#4043—31no—
150#4042—61no—
151#4038—31no—
152#4038—31no—
153D5×C4⋊C4—31no—
154D5×C4⋊C4—31no—
155D5×C4⋊C4—31no—
156D5×C4⋊C4—61no—
157D5×C22⋊C4—61no—
158D5×C22⋊C4—61no—
159#4024—61no—
160#4023—61no—
161#4018—61no—
162C42×D5—61no—
163C5×#107C2×D311yescharacteristic, complemented
164C5×#106C2×D311yescharacteristic, complemented
165C5×#103C2×D311yescharacteristic, complemented
166C5×#103C2×D311yescharacteristic, complemented
167C5×C22⋊C8C2×D311yescharacteristic
168#3967—31no—
169#3967—31no—
170C22⋊#168—31no—
171#3952—31no—
172#3952—31no—
173#3950—31no—
174#3949—31no—
175#3948—31no—
176#3948—31no—
177#3942—31no—
178#3942—31no—
179#3940—31no—
180#3940—31no—
181#3939—31no—
182#3939—31no—
183C2×#485—151noSylow
184C23×C3×C5C2×D411yescharacteristic
185C22×D15—22no—
186C22×D15—22no—
187C22×D15—22no—
188C22×D15C2×D411yescharacteristic
189C22×D15C2×D411yescharacteristic
190C3×C5×Q8—21no—
191C3×C5×Q8—21no—
192C2×C3×C4×C5—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×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—22no—
201C2×Dic15—21no—
202C2×Dic15—21no—
203C2×Dic15—21no—
204C2×Dic15—21no—
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207C4×D15—22no—
208C4×D15—21no—
209C4×D15—21no—
210C4×D15—22no—
211C4×D15—42no—
212C4×D15—42no—
213C4×D15—42no—
214C4×D15—42no—
215C4×D15#4112yes—
216C4×D15#4112yes—
217Dic30—21no—
218Dic30—21no—
219Dic30—42no—
220C3×C5×C8—21no—
221C3×C5×C8—21no—
222C3⋊#168—21no—
223C3⋊#168—21no—
224C2×D3×Q8—51no—
225C22×C4×D3—51no—
226C3×C22⋊Q8C2×D511yescharacteristic
227C3×#117C2×D511yescharacteristic
228#946—51no—
229#926—51no—
230#924—51no—
231C2×D3×C8—51no—
232C2×D3×C8—51no—
233#897—51no—
234#896—101no—
235#892—51no—
236#892—51no—
237D3×C4⋊C4—51no—
238D3×C4⋊C4—51no—
239D3×C4⋊C4—51no—
240D3×C4⋊C4—101no—
241D3×C22⋊C4—101no—
242D3×C22⋊C4—101no—
243#878—101no—
244#877—101no—
245#872—101no—
246C42×D3—101no—
247C3×#107C2×D511yescharacteristic, complemented
248C3×#106C2×D511yescharacteristic, complemented
249C3×#103C2×D511yescharacteristic, complemented
250C3×#103C2×D511yescharacteristic, complemented
251C3×C22⋊C8C2×D511yescharacteristic
252#835—51no—
253#835—51no—
254#830—51no—
255(C2×D3)⋊C8—51no—
256(C2×D3)⋊C8—51no—
257#818—51no—
258#817—51no—
259#816—51no—
260#816—51no—
261#810—51no—
262#810—51no—
263#808—51no—
264#808—51no—
265#807—51no—
266#807—51no—
267C23×D5—31no—
268C2×C5×Q8C22×D311yescharacteristic
269C22×C4×C5C22×D311yescharacteristic
270C22×Dic5—31no—
271Q8×D5—62no—
272Q8×D5—62no—
273C2×C4×D5—31no—
274C2×C4×D5—31no—
275C2×C4×D5—31no—
276C2×C4×D5—31no—
277C2×C4×D5—62no—
278C2×C4×D5—62no—
279C2×C4×D5—61no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C2×Dic10—31no—
284C2×Dic10—61no—
285C2×C5×C8C22×D311yescharacteristic
286C2×C5×C8C22×D311yescharacteristic
287C5×C4⋊C4—21no—
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C4⋊C4C22×D311yescharacteristic
291C5×C22⋊C4—21no—
292C5×C22⋊C4—21no—
293C42×C5—21no—
294C22⋊Dic5—61no—
295C22⋊Dic5—61no—
296#685—61no—
297#685—61no—
298#685—61no—
299#685—61no—
300C4⋊Dic5—31no—
301C4⋊Dic5—31no—
302C4⋊Dic5—31no—
303C4⋊Dic5—61no—
304#683—61no—
305#683—61no—
306#683—61no—
307#683—61no—
308#683—61no—
309C4×Dic5—61no—
310C4×Dic5—61no—
311C4×Dic5—61no—
312C2×#168—31no—
313C2×#168—31no—
314C8×D5—62no—
315C8×D5—62no—
316C2×C22⋊Q8—151no—
317C2×#117—151no—
318#485—151no—
319#485—151no—
320#485—151no—
321#485—151no—
322#485—151no—
323#485—151no—
324#485—151no—
325#485D1511yescharacteristic, direct product factor
326C2×#107—151no—
327C2×#106—151no—
328C2×#103—151no—
329C2×#103—151no—
330C2×C22⋊C8—151no—
331C22×C3×C5—21no—
332C22×C3×C5—21no—
333C22×C3×C5—21no—
334C22×C3×C5C22×D411yescharacteristic
335C2×D15—21no—
336C2×D15—21no—
337C2×D15—21no—
338C2×D15—44no—
339C2×D15#12312yes—
340C2×D15#13512yes—
341C2×D15#13712yes—
342C3×C4×C5—21no—
343C3×C4×C5—41no—
344C3×C4×C5—41no—
345C3×C4×C5—41no—
346C3×C4×C5—41no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—21no—
350Dic15—41no—
351Dic15—41no—
352Dic15—41no—
353Dic15—41no—
354Dic15#12312yes—
355C23×D3—51no—
356C2×C3×Q8C22×D511yescharacteristic
357C22×C3×C4C22×D511yescharacteristic
358C22×Dic3—51no—
359D3×Q8—102no—
360D3×Q8—102no—
361C2×C4×D3—51no—
362C2×C4×D3—51no—
363C2×C4×D3—51no—
364C2×C4×D3—51no—
365C2×C4×D3—102no—
366C2×C4×D3—102no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×Dic6—51no—
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—101no—
383#217—101no—
384(C2×D3)⋊C4—101no—
385(C2×D3)⋊C4—101no—
386(C2×D3)⋊C4—101no—
387(C2×D3)⋊C4—101no—
388C4⋊Dic3—51no—
389C4⋊Dic3—51no—
390C4⋊Dic3—51no—
391C4⋊Dic3—101no—
392Dic3⋊C4—101no—
393Dic3⋊C4—101no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397C4×Dic3—101no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400C2×C3⋊C8—51no—
401C2×C3⋊C8—51no—
402D3×C8—102no—
403D3×C8—102no—
404C23×C5D3×D411yescharacteristic
405C22×D5—31no—
406C22×D5—31no—
407C22×D5—62no—
408C22×D5—62no—
409C22×D5—62no—
410C5×Q8—21no—
411C5×Q8—21no—
412C2×C4×C5—21no—
413C2×C4×C5—21no—
414C2×C4×C5—21no—
415C2×C4×C5—21no—
416C2×C4×C5—21no—
417C2×C4×C5—21no—
418C2×C4×C5D3×D411yescharacteristic
419C2×C4×C5C23×D311yescharacteristic
420C2×Dic5—31no—
421C2×Dic5—31no—
422C2×Dic5—62no—
423C2×Dic5—61no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—61no—
427C4×D5—32no—
428C4×D5—32no—
429C4×D5—62no—
430C4×D5—62no—
431C4×D5—61no—
432C4×D5—61no—
433C4×D5—122no—
434C4×D5—122no—
435C4×D5—122no—
436C4×D5—122no—
437Dic10—61no—
438Dic10—61no—
439Dic10—122no—
440C5×C8—21no—
441C5×C8—21no—
442#168—61no—
443#168—61no—
444C22×Q8—151no—
445C23×C4—151no—
446C22×C8—151no—
447C22×C8—151no—
448C22⋊Q8—151no—
449C22⋊Q8—151no—
450C22⋊Q8—151no—
451C22⋊Q8—301no—
452C22⋊Q8—301no—
453C22⋊Q8C2×D1511yescharacteristic
454#117—151no—
455#117—151no—
456#117—151no—
457#117—301no—
458#117—301no—
459#117C2×D1511yescharacteristic
460C2×C4⋊C4—151no—
461C2×C4⋊C4—151no—
462C2×C4⋊C4—151no—
463C2×C4⋊C4—301no—
464C2×C22⋊C4—301no—
465C2×C22⋊C4—301no—
466C2×C42—301no—
467#107—151no—
468#107—151no—
469#107—151no—
470#107C2×D1511yescharacteristic, complemented
471#106—151no—
472#106—151no—
473#106—151no—
474#106C2×D1511yescharacteristic, complemented
475#103—151no—
476#103—151no—
477#103—151no—
478#103—151no—
479#103—151no—
480#103—151no—
481#103C2×D1511yescharacteristic, complemented
482#103C2×D1511yescharacteristic, complemented
483C22⋊C8—151no—
484C22⋊C8—151no—
485C22⋊C8—151no—
486C22⋊C8C2×D1511yescharacteristic
487C2×C3×C5—41no—
488C2×C3×C5C2×#12311yescharacteristic
489C2×C3×C5C2×#13511yescharacteristic
490C2×C3×C5C2×#13711yescharacteristic
491D15—41no—
492D15#48514yesdirect product factor
493C23×C3D4×D511yescharacteristic
494C22×D3—51no—
495C22×D3—51no—
496C22×D3—102no—
497C22×D3—102no—
498C22×D3—102no—
499C3×Q8—21no—
500C3×Q8—21no—
501C2×C3×C4—21no—
502C2×C3×C4—21no—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—21no—
506C2×C3×C4—21no—
507C2×C3×C4D4×D511yescharacteristic
508C2×C3×C4C23×D511yescharacteristic
509C2×Dic3—51no—
510C2×Dic3—51no—
511C2×Dic3—102no—
512C2×Dic3—101no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3—101no—
516C4×D3—52no—
517C4×D3—52no—
518C4×D3—102no—
519C4×D3—102no—
520C4×D3—101no—
521C4×D3—101no—
522C4×D3—202no—
523C4×D3—202no—
524C4×D3—202no—
525C4×D3—202no—
526Dic6—101no—
527Dic6—101no—
528Dic6—202no—
529C3×C8—21no—
530C3×C8—21no—
531C3⋊C8—101no—
532C3⋊C8—101no—
533C22×C5—21no—
534C22×C5—21no—
535C22×C5—21no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—32no—
538C2×D5—32no—
539C2×D5—32no—
540C2×D5—61no—
541C2×D5—61no—
542C2×D5—61no—
543C2×D5—124no—
544C4×C5—21no—
545C4×C5—41no—
546C4×C5—41no—
547C4×C5—41no—
548C4×C5—41no—
549C4×C5D3×#4111yescharacteristic
550C4×C5D3×#4111yescharacteristic
551Dic5—32no—
552Dic5—61no—
553Dic5—121no—
554Dic5—121no—
555Dic5—121no—
556Dic5—121no—
557C24—151no—
558C2×Q8—151no—
559C2×Q8—301no—
560C2×Q8—302no—
561C2×Q8—302no—
562C2×Q8C22×D1511yescharacteristic
563C22×C4—151no—
564C22×C4—151no—
565C22×C4—151no—
566C22×C4—151no—
567C22×C4—151no—
568C22×C4—302no—
569C22×C4—302no—
570C22×C4—301no—
571C22×C4—301no—
572C22×C4—301no—
573C22×C4—301no—
574C22×C4C22×D1511yescharacteristic
575C2×C8—151no—
576C2×C8—151no—
577C2×C8—302no—
578C2×C8—302no—
579C2×C8C22×D1511yescharacteristic
580C2×C8C22×D1511yescharacteristic
581C4⋊C4—21no—
582C4⋊C4—151no—
583C4⋊C4—151no—
584C4⋊C4—151no—
585C4⋊C4—301no—
586C4⋊C4—301no—
587C4⋊C4—301no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4C22×D1511yescharacteristic
592C4⋊C4C22×D1511yescharacteristic
593C4⋊C4C22×D1511yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C22⋊C4—301no—
599C22⋊C4—301no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—21no—
603C42—301no—
604C42—301no—
605C42—301no—
606C3×C5C2×#48511yescharacteristic, complemented, Hall
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3C2×D4×D511yescharacteristic
611C2×D3—52no—
612C2×D3—52no—
613C2×D3—52no—
614C2×D3—101no—
615C2×D3—101no—
616C2×D3—101no—
617C2×D3—204no—
618C3×C4—21no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4D5×#4111yescharacteristic
624C3×C4D5×#4111yescharacteristic
625Dic3—52no—
626Dic3—101no—
627Dic3—201no—
628Dic3—201no—
629Dic3—201no—
630Dic3—201no—
631C2×C5—41no—
632C2×C5D3×#12311yescharacteristic
633C2×C5D3×#13511yescharacteristic
634C2×C5D3×#13711yescharacteristic
635D5—34no—
636D5—121no—
637C23—151no—
638C23—151no—
639C23—302no—
640C23—302no—
641C23—302no—
642C23D4×D1511yescharacteristic
643Q8—21no—
644Q8—21no—
645Q8—301no—
646Q8—301no—
647Q8—602no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—151no—
655C2×C4—152no—
656C2×C4—152no—
657C2×C4—151no—
658C2×C4—302no—
659C2×C4—302no—
660C2×C4—302no—
661C2×C4—301no—
662C2×C4—301no—
663C2×C4—301no—
664C2×C4—301no—
665C2×C4—301no—
666C2×C4—301no—
667C2×C4—602no—
668C2×C4—602no—
669C2×C4—602no—
670C2×C4—602no—
671C2×C4D4×D1511yescharacteristic
672C2×C4C23×D1511yescharacteristic
673C8—21no—
674C8—21no—
675C8—301no—
676C8—301no—
677C2×C3—41no—
678C2×C3D5×#12311yescharacteristic
679C2×C3D5×#13511yescharacteristic
680C2×C3D5×#13711yescharacteristic
681D3—54no—
682D3—201no—
683C5D3×#48511yescharacteristic, complemented, Sylow
684C22—21no—
685C22—21no—
686C22—21no—
687C22—152no—
688C22—152no—
689C22—152no—
690C22—301no—
691C22—301no—
692C22—301no—
693C22—604no—
694C22C2×D4×D1511yescharacteristic
695C4—21no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—152no—
701C4—301no—
702C4—601no—
703C4—601no—
704C4—601no—
705C4—601no—
706C4#41×D1511yescharacteristic
707C4#41×D1511yescharacteristic
708C3D5×#48511yescharacteristic, complemented, Sylow
709C2—41no—
710C2—154no—
711C2—601no—
712C2D15×#12311yescharacteristic
713C2D15×#13511yescharacteristic
714C2D15×#13711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#485C2
socleC22×C3×C5C22×D4
prime radicalC23×D15D4
hypercenter#485D15
hypocenterC3×C5C2×#485
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
3. C3×C5×#485C2semidirect
4. #11751146C2semidirect
5. #11751097C2semidirect
6. #11750989C2semidirect
7. D15×#107C2semidirect
8. #11750969C2semidirect
9. D15×#106C2semidirect
10. #11750916C2semidirect
11. #11750915C2semidirect
12. D15×#103C2semidirect
13. D15×#103C2semidirect
15. #11750824C2semidirect
40. C3×C5×#107C22semidirect
41. C3×C5×#106C22semidirect
42. C3×C5×#103C22semidirect
43. C3×C5×#103C22semidirect
45. #91119C22semidirect
46. #91119C22semidirect
50. #91102C22semidirect
51. #91101C22semidirect
52. #91100C22semidirect
53. #91100C22semidirect
54. #91094C22semidirect
55. #91094C22semidirect
56. #91092C22semidirect
57. #91092C22semidirect
58. #91091C22semidirect
59. #91091C22semidirect
63. C5×#485D3semidirect
127. C3×#485D5semidirect
163. C5×#107C2×D3semidirect
164. C5×#106C2×D3semidirect
165. C5×#103C2×D3semidirect
166. C5×#103C2×D3semidirect
247. C3×#107C2×D5semidirect
248. C3×#106C2×D5semidirect
249. C3×#103C2×D5semidirect
250. C3×#103C2×D5semidirect
325. #485D15direct (N × H)
470. #107C2×D15semidirect
474. #106C2×D15semidirect
481. #103C2×D15semidirect
482. #103C2×D15semidirect
492. D15#485direct (N × H)
606. C3×C5C2×#485semidirect
683. C5D3×#485semidirect
708. C3D5×#485semidirect

Maximal subgroups

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

subgroupindex
D15×C22⋊Q82
D15×#1172
C3×C5×#4852
#117511462
#117510972
#117509892
D15×#1072
#117509692
D15×#1062
#117509162
#117509152
D15×#1032
D15×C22⋊C82
#117508242
D5×#4853
D3×#4855