Finite Group Databasebeta

← D15×#478 #14429918

Subgroups — D15×#478 #14429918

Order 1920.

896 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D15×#125C211yesmaximal, characteristic, complemented
2C4×D4×D15C211yesmaximal, characteristic
3C3×C5×#478C211yesmaximal, characteristic, complemented
4#11751167C211yesmaximal, characteristic, complemented
5#11751110C211yesmaximal, characteristic, complemented
6#11750992C211yesmaximal, characteristic, complemented
7D15×#107C211yesmaximal, characteristic, complemented
8#11750972C211yesmaximal, characteristic, complemented
9D15×#106C211yesmaximal, characteristic, complemented
10#11750948C211yesmaximal, characteristic, complemented
11D15×C4⋊C8C211yesmaximal, characteristic, complemented
12D15×#102C211yesmaximal, characteristic
13D15×#102C211yesmaximal, characteristic
14#11750867C211yesmaximal, characteristic, complemented
15#11750864C211yesmaximal, characteristic, complemented
16D5×#478—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C22×C4×D15—21no—
19C3×C5×#125C2211yescharacteristic, complemented
20C3×C4×C5×D4C2211yescharacteristic
21D4×Dic15C2211yescharacteristic
22C4×#1220—21no—
23C2×C8×D15C2211yescharacteristic
24C2×C8×D15C2211yescharacteristic
25#91782C2211yescharacteristic
26C4⋊C4×D15—21no—
27C4⋊C4×D15—21no—
28C4⋊C4×D15C2211yescharacteristic
29C4⋊C4×D15C2211yescharacteristic
30C4⋊C4×D15C2211yescharacteristic
31#91779C2211yescharacteristic, complemented
32#91779C2211yescharacteristic, complemented
33#91778—21no—
34#91778—21no—
35#91770—21no—
36C22⋊C4×D15—21no—
37C4×D60C2211yescharacteristic
38C42×D15C2211yescharacteristic
39#91759C2211yescharacteristic, complemented
40C3×C5×#107C2211yescharacteristic, complemented
41C3×C5×#106C2211yescharacteristic, complemented
42C3×C5×C4⋊C8C2211yescharacteristic, complemented
43C3×C5×#102C2211yescharacteristic
44C3×C5×#102C2211yescharacteristic
45#91116C2211yescharacteristic
46#91116C2211yescharacteristic
47#91105C2211yescharacteristic
48#91105C2211yescharacteristic
49#91102C2211yescharacteristic, complemented
50#91101C2211yescharacteristic, complemented
51#91098C2211yescharacteristic, complemented
52#91098C2211yescharacteristic, complemented
53#91093C2211yescharacteristic
54#91093C2211yescharacteristic
55#91092C2211yescharacteristic, complemented
56#91092C2211yescharacteristic, complemented
57#91091C2211yescharacteristic, complemented
58#91091C2211yescharacteristic, complemented
59C4⋊(C3⋊#168)C2211yescharacteristic, complemented
60D3×#478—51nomaximal, Hall
61D5×#125—31no—
62C4×D4×D5—31no—
63C5×#478D311yescharacteristic, complemented
64#65355—31no—
65#65298—31no—
66#65180—31no—
67D5×#107—31no—
68#65160—31no—
69D5×#106—31no—
70#65136—31no—
71D5×C4⋊C8—31no—
72D5×#102—31no—
73D5×#102—31no—
74#65055—31no—
75#65052—31no—
76C23×D15—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×#1220—21no—
80C22×Dic15—21no—
81D4×D15—22no—
82D4×D15Q814yes—
83C2×D60C2311yescharacteristic
84C2×C4×D15—21no—
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C4×D15—21no—
88C2×C4×D15—21no—
89C2×C4×D15—44no—
90C2×C4×D15D411yescharacteristic
91C2×C4×D15D411yescharacteristic
92C2×C4×D15C2311yescharacteristic
93C2×C3×C5×C8C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4—21no—
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C42×C5C2311yescharacteristic
102#6719—21no—
103#6714—21no—
104#6714—21no—
105C4⋊Dic15—21no—
106C4⋊Dic15—21no—
107C4⋊Dic15C2311yescharacteristic
108C4⋊Dic15C2311yescharacteristic
109C4⋊Dic15C2311yescharacteristic
110#6712—21no—
111#6712—21no—
112#6712—21no—
113#6712—21no—
114#6712—21no—
115#6712—21no—
116#6712—21no—
117C4×Dic15D411yescharacteristic
118C4×Dic15D411yescharacteristic
119C4×Dic15C2311yescharacteristic
120C2×C3⋊#168C2311yescharacteristic
121C2×C3⋊#168C2311yescharacteristic
122C8×D15—22no—
123C8×D15—22no—
124D3×#125—51no—
125C4×D3×D4—51no—
126C3×#478D511yescharacteristic, complemented
127#5066—51no—
128#5009—51no—
129#4891—51no—
130D3×#107—51no—
131#4871—51no—
132D3×#106—51no—
133#4847—51no—
134D3×C4⋊C8—51no—
135D3×#102—51no—
136D3×#102—51no—
137#4766—51no—
138#4763—51no—
139C2×D4×D5—31no—
140C22×C4×D5—61no—
141C5×#125C2×D311yescharacteristic, complemented
142C4×C5×D4C2×D311yescharacteristic
143D4×Dic5—31no—
144C4×C22⋊D5—61no—
145C2×C8×D5—31no—
146C2×C8×D5—31no—
147#4039—31no—
148D5×C4⋊C4—31no—
149D5×C4⋊C4—31no—
150D5×C4⋊C4—31no—
151D5×C4⋊C4—61no—
152D5×C4⋊C4—61no—
153#4036—31no—
154#4036—31no—
155#4035—61no—
156#4035—61no—
157#4027—61no—
158D5×C22⋊C4—61no—
159C4×D20—31no—
160C42×D5—31no—
161#4016—31no—
162C5×#107C2×D311yescharacteristic, complemented
163C5×#106C2×D311yescharacteristic, complemented
164C5×C4⋊C8C2×D311yescharacteristic, complemented
165C5×#102C2×D311yescharacteristic
166C5×#102C2×D311yescharacteristic
167#3964—31no—
168#3964—31no—
169#3953—31no—
170#3953—31no—
171#3950—31no—
172#3949—31no—
173#3946—31no—
174#3946—31no—
175#3941—31no—
176#3941—31no—
177#3940—31no—
178#3940—31no—
179#3939—31no—
180#3939—31no—
181C4⋊#168—31no—
182C2×#478—151noSylow
183C23×C3×C5—21no—
184C22×D15—21no—
185C22×D15—24no—
186C22×D15—42no—
187C22×D15—42no—
188C22×D15C2×D411yescharacteristic
189C3×C5×D4—21no—
190C3×C5×D4C2×Q812yes—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—42no—
195C2×C3×C4×C5C2×D411yescharacteristic
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198#1220—24no—
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202C2×Dic15—42no—
203C2×Dic15C2×D411yescharacteristic
204C2×Dic15C2×D411yescharacteristic
205C2×Dic15C2×D411yescharacteristic
206D60—21no—
207D60C2×Q812yes—
208C4×D15—22no—
209C4×D15—22no—
210C4×D15—42no—
211C4×D15—42no—
212C4×D15—42no—
213C4×D15—42no—
214C4×D15—42no—
215C4×D15C2×Q812yes—
216C4×D15#4112yes—
217C3×C5×C8—21no—
218C3×C5×C8—21no—
219C3⋊#168—21no—
220C3⋊#168—21no—
221C2×D3×D4—51no—
222C22×C4×D3—101no—
223C3×#125C2×D511yescharacteristic, complemented
224C3×C4×D4C2×D511yescharacteristic
225D4×Dic3—51no—
226C4×#67—101no—
227C2×D3×C8—51no—
228C2×D3×C8—51no—
229#893—51no—
230D3×C4⋊C4—51no—
231D3×C4⋊C4—51no—
232D3×C4⋊C4—51no—
233D3×C4⋊C4—101no—
234D3×C4⋊C4—101no—
235#890—51no—
236#890—51no—
237#889—101no—
238#889—101no—
239#67⋊C4—101no—
240D3×C22⋊C4—101no—
241C4×D12—51no—
242C42×D3—51no—
243#870—51no—
244C3×#107C2×D511yescharacteristic, complemented
245C3×#106C2×D511yescharacteristic, complemented
246C3×C4⋊C8C2×D511yescharacteristic, complemented
247C3×#102C2×D511yescharacteristic
248C3×#102C2×D511yescharacteristic
249#832—51no—
250#832—51no—
251#821—51no—
252#821—51no—
253#818—51no—
254#817—51no—
255Dic3⋊C8—51no—
256Dic3⋊C8—51no—
257#809—51no—
258#809—51no—
259#808—51no—
260#808—51no—
261#807—51no—
262#807—51no—
263C4⋊(C3⋊C8)—51no—
264C23×D5—61no—
265C2×C5×D4C22×D311yescharacteristic
266C22×C4×C5—21no—
267C2×C22⋊D5—61no—
268C22×Dic5—61no—
269D4×D5—34no—
270D4×D5—62no—
271C2×D20—31no—
272C2×C4×D5—31no—
273C2×C4×D5—31no—
274C2×C4×D5—31no—
275C2×C4×D5—61no—
276C2×C4×D5—61no—
277C2×C4×D5—61no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5—124no—
281C2×C5×C8C22×D311yescharacteristic
282C2×C5×C8C22×D311yescharacteristic
283C5×C4⋊C4—21no—
284C5×C4⋊C4—21no—
285C5×C4⋊C4C22×D311yescharacteristic
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—21no—
289C42×C5C22×D311yescharacteristic
290C22⋊Dic5—61no—
291#685—61no—
292#685—61no—
293C4⋊Dic5—31no—
294C4⋊Dic5—31no—
295C4⋊Dic5—31no—
296C4⋊Dic5—61no—
297C4⋊Dic5—61no—
298#683—61no—
299#683—61no—
300#683—61no—
301#683—61no—
302#683—61no—
303#683—61no—
304#683—61no—
305C4×Dic5—31no—
306C4×Dic5—31no—
307C4×Dic5—31no—
308C2×#168—31no—
309C2×#168—31no—
310C8×D5—62no—
311C8×D5—62no—
312C2×#125—151no—
313C2×C4×D4—151no—
314#478—151no—
315#478—151no—
316#478—151no—
317#478—151no—
318#478—151no—
319#478—151no—
320#478—151no—
321#478D1511yescharacteristic, direct product factor
322C2×#107—151no—
323C2×#106—151no—
324C2×C4⋊C8—151no—
325C2×#102—151no—
326C2×#102—151no—
327C22×C3×C5—22no—
328C22×C3×C5—41no—
329C22×C3×C5—41no—
330C22×C3×C5C22×D411yescharacteristic
331C2×D15—22no—
332C2×D15—41no—
333C2×D15—41no—
334C2×D15—48no—
335C2×D15C22⋊Q812yes—
336C2×D15#13512yes—
337C2×D15AGL(1,ℤ/8)12yes—
338C3×C4×C5—21no—
339C3×C4×C5—21no—
340C3×C4×C5—41no—
341C3×C4×C5—41no—
342C3×C4×C5—41no—
343C3×C4×C5C22×Q811yescharacteristic
344C3×C4×C5C2×#4111yescharacteristic
345Dic15—21no—
346Dic15—21no—
347Dic15—41no—
348Dic15—41no—
349Dic15—41no—
350Dic15C22⋊Q812yes—
351C23×D3—101no—
352C2×C3×D4C22×D511yescharacteristic
353C22×C3×C4—21no—
354C2×#67—101no—
355C22×Dic3—101no—
356D3×D4—54no—
357D3×D4—102no—
358C2×D12—51no—
359C2×C4×D3—51no—
360C2×C4×D3—51no—
361C2×C4×D3—51no—
362C2×C4×D3—101no—
363C2×C4×D3—101no—
364C2×C4×D3—101no—
365C2×C4×D3—101no—
366C2×C4×D3—101no—
367C2×C4×D3—204no—
368C2×C3×C8C22×D511yescharacteristic
369C2×C3×C8C22×D511yescharacteristic
370C3×C4⋊C4—21no—
371C3×C4⋊C4—21no—
372C3×C4⋊C4C22×D511yescharacteristic
373C3×C4⋊C4C22×D511yescharacteristic
374C3×C4⋊C4C22×D511yescharacteristic
375C3×C22⋊C4—21no—
376C3×C42C22×D511yescharacteristic
377#217—101no—
378(C2×D3)⋊C4—101no—
379(C2×D3)⋊C4—101no—
380C4⋊Dic3—51no—
381C4⋊Dic3—51no—
382C4⋊Dic3—51no—
383C4⋊Dic3—101no—
384C4⋊Dic3—101no—
385Dic3⋊C4—101no—
386Dic3⋊C4—101no—
387Dic3⋊C4—101no—
388Dic3⋊C4—101no—
389Dic3⋊C4—101no—
390Dic3⋊C4—101no—
391Dic3⋊C4—101no—
392C4×Dic3—51no—
393C4×Dic3—51no—
394C4×Dic3—51no—
395C2×C3⋊C8—51no—
396C2×C3⋊C8—51no—
397D3×C8—102no—
398D3×C8—102no—
399C23×C5—21no—
400C22×D5—31no—
401C22×D5—64no—
402C22×D5—61no—
403C22×D5—122no—
404C22×D5—122no—
405C5×D4—21no—
406C5×D4D3×Q812yes—
407C2×C4×C5—21no—
408C2×C4×C5—21no—
409C2×C4×C5—21no—
410C2×C4×C5—42no—
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5D3×D411yescharacteristic
413C2×C4×C5C23×D311yescharacteristic
414C22⋊D5—64no—
415C2×Dic5—31no—
416C2×Dic5—31no—
417C2×Dic5—31no—
418C2×Dic5—61no—
419C2×Dic5—61no—
420C2×Dic5—61no—
421C2×Dic5—122no—
422D20—32no—
423D20—61no—
424C4×D5—32no—
425C4×D5—32no—
426C4×D5—62no—
427C4×D5—62no—
428C4×D5—122no—
429C4×D5—122no—
430C4×D5—122no—
431C4×D5—122no—
432C4×D5—122no—
433C5×C8—21no—
434C5×C8—21no—
435#168—61no—
436#168—61no—
437C22×D4—151no—
438C23×C4—301no—
439C22×C8—151no—
440C22×C8—151no—
441#125—151no—
442#125—151no—
443#125—151no—
444#125—301no—
445#125—301no—
446#125C2×D1511yescharacteristic, complemented
447C4×D4—151no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—301no—
451C4×D4—301no—
452C4×D4C2×D1511yescharacteristic
453C2×C4⋊C4—151no—
454C2×C4⋊C4—151no—
455C2×C4⋊C4—151no—
456C2×C4⋊C4—301no—
457C2×C4⋊C4—301no—
458C2×C22⋊C4—301no—
459C2×C42—151no—
460#107—151no—
461#107—151no—
462#107—151no—
463#107C2×D1511yescharacteristic, complemented
464#106—151no—
465#106—151no—
466#106—151no—
467#106C2×D1511yescharacteristic, complemented
468C4⋊C8—151no—
469C4⋊C8—151no—
470C4⋊C8—151no—
471C4⋊C8C2×D1511yescharacteristic, complemented
472#102—151no—
473#102—151no—
474#102—151no—
475#102—151no—
476#102—151no—
477#102—151no—
478#102C2×D1511yescharacteristic
479#102C2×D1511yescharacteristic
480C2×C3×C5—42no—
481C2×C3×C5C2×C22⋊Q811yescharacteristic
482C2×C3×C5C2×#13511yescharacteristic
483C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
484D15—42no—
485D15#47814yesdirect product factor
486C23×C3—21no—
487C22×D3—51no—
488C22×D3—104no—
489C22×D3—101no—
490C22×D3—202no—
491C22×D3—202no—
492C3×D4—21no—
493C3×D4Q8×D512yes—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—42no—
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4C23×D511yescharacteristic
501#67—104no—
502C2×Dic3—51no—
503C2×Dic3—51no—
504C2×Dic3—51no—
505C2×Dic3—101no—
506C2×Dic3—101no—
507C2×Dic3—101no—
508C2×Dic3—202no—
509D12—52no—
510D12—101no—
511C4×D3—52no—
512C4×D3—52no—
513C4×D3—102no—
514C4×D3—102no—
515C4×D3—202no—
516C4×D3—202no—
517C4×D3—202no—
518C4×D3—202no—
519C4×D3—202no—
520C3×C8—21no—
521C3×C8—21no—
522C3⋊C8—101no—
523C3⋊C8—101no—
524C22×C5—22no—
525C22×C5—41no—
526C22×C5—41no—
527C22×C5C2×D3×D411yescharacteristic
528C2×D5—32no—
529C2×D5—32no—
530C2×D5—32no—
531C2×D5—62no—
532C2×D5—128no—
533C2×D5—121no—
534C2×D5—121no—
535C4×C5—21no—
536C4×C5—21no—
537C4×C5—41no—
538C4×C5—41no—
539C4×C5—41no—
540C4×C5C2×D3×Q811yescharacteristic
541C4×C5D3×#4111yescharacteristic
542Dic5—32no—
543Dic5—61no—
544Dic5—61no—
545Dic5—121no—
546Dic5—121no—
547Dic5—121no—
548C24—301no—
549C2×D4—154no—
550C2×D4—151no—
551C2×D4—302no—
552C2×D4—301no—
553C2×D4C22×D1511yescharacteristic
554C22×C4—21no—
555C22×C4—151no—
556C22×C4—151no—
557C22×C4—151no—
558C22×C4—301no—
559C22×C4—301no—
560C22×C4—301no—
561C22×C4—301no—
562C22×C4—301no—
563C22×C4—301no—
564C22×C4—604no—
565C2×C8—151no—
566C2×C8—151no—
567C2×C8—302no—
568C2×C8—302no—
569C2×C8C22×D1511yescharacteristic
570C2×C8C22×D1511yescharacteristic
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—151no—
574C4⋊C4—151no—
575C4⋊C4—151no—
576C4⋊C4—301no—
577C4⋊C4—301no—
578C4⋊C4—301no—
579C4⋊C4—301no—
580C4⋊C4—301no—
581C4⋊C4—301no—
582C4⋊C4—301no—
583C4⋊C4—301no—
584C4⋊C4—301no—
585C4⋊C4C22×D1511yescharacteristic
586C4⋊C4C22×D1511yescharacteristic
587C4⋊C4C22×D1511yescharacteristic
588C22⋊C4—21no—
589C22⋊C4—301no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C42—151no—
593C42—151no—
594C42—151no—
595C42C22×D1511yescharacteristic
596C3×C5C2×#47811yescharacteristic, complemented, Hall
597C22×C3—22no—
598C22×C3—41no—
599C22×C3—41no—
600C22×C3C2×D4×D511yescharacteristic
601C2×D3—52no—
602C2×D3—52no—
603C2×D3—52no—
604C2×D3—102no—
605C2×D3—208no—
606C2×D3—201no—
607C2×D3—201no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—41no—
613C3×C4C2×Q8×D511yescharacteristic
614C3×C4D5×#4111yescharacteristic
615Dic3—52no—
616Dic3—101no—
617Dic3—101no—
618Dic3—201no—
619Dic3—201no—
620Dic3—201no—
621C2×C5—42no—
622C2×C5D3×C22⋊Q811yescharacteristic
623C2×C5D3×#13511yescharacteristic
624C2×C5D3×AGL(1,ℤ/8)11yescharacteristic
625D5—34no—
626D5—122no—
627C23—21no—
628C23—151no—
629C23—304no—
630C23—301no—
631C23—602no—
632C23—602no—
633D4—21no—
634D4—152no—
635D4—304no—
636D4—301no—
637D4Q8×D1512yes—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—42no—
642C2×C4—151no—
643C2×C4—152no—
644C2×C4—152no—
645C2×C4—151no—
646C2×C4—151no—
647C2×C4—302no—
648C2×C4—302no—
649C2×C4—301no—
650C2×C4—301no—
651C2×C4—301no—
652C2×C4—602no—
653C2×C4—602no—
654C2×C4—602no—
655C2×C4—602no—
656C2×C4—602no—
657C2×C4—602no—
658C2×C4D4×D1511yescharacteristic
659C2×C4D4×D1511yescharacteristic
660C2×C4C23×D1511yescharacteristic
661C8—21no—
662C8—21no—
663C8—301no—
664C8—301no—
665C2×C3—42no—
666C2×C3D5×C22⋊Q811yescharacteristic
667C2×C3D5×#13511yescharacteristic
668C2×C3D5×AGL(1,ℤ/8)11yescharacteristic
669D3—54no—
670D3—202no—
671C5D3×#47811yescharacteristic, complemented, Sylow
672C22—22no—
673C22—41no—
674C22—41no—
675C22—152no—
676C22—152no—
677C22—152no—
678C22—302no—
679C22—608no—
680C22—601no—
681C22—601no—
682C22C2×D4×D1511yescharacteristic
683C4—21no—
684C4—21no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—152no—
689C4—301no—
690C4—301no—
691C4—601no—
692C4—601no—
693C4—601no—
694C4C2×Q8×D1511yescharacteristic
695C4#41×D1511yescharacteristic
696C3D5×#47811yescharacteristic, complemented, Sylow
697C2—42no—
698C2—154no—
699C2—602no—
700C2D15×C22⋊Q811yescharacteristic
701C2D15×#13511yescharacteristic
702C2D15×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#478C2
socleC22×C3×C5C22×D4
prime radicalC2×D4×D15C22
hypercenter#478D15
hypocenterC3×C5C2×#478
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #478

Complements

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

NH ≅ G/Ntype
1. D15×#125C2semidirect
3. C3×C5×#478C2semidirect
4. #11751167C2semidirect
5. #11751110C2semidirect
6. #11750992C2semidirect
7. D15×#107C2semidirect
8. #11750972C2semidirect
9. D15×#106C2semidirect
10. #11750948C2semidirect
11. D15×C4⋊C8C2semidirect
14. #11750867C2semidirect
15. #11750864C2semidirect
19. C3×C5×#125C22semidirect
31. #91779C22semidirect
32. #91779C22semidirect
39. #91759C22semidirect
40. C3×C5×#107C22semidirect
41. C3×C5×#106C22semidirect
42. C3×C5×C4⋊C8C22semidirect
49. #91102C22semidirect
50. #91101C22semidirect
51. #91098C22semidirect
52. #91098C22semidirect
55. #91092C22semidirect
56. #91092C22semidirect
57. #91091C22semidirect
58. #91091C22semidirect
59. C4⋊(C3⋊#168)C22semidirect
63. C5×#478D3semidirect
126. C3×#478D5semidirect
141. C5×#125C2×D3semidirect
162. C5×#107C2×D3semidirect
163. C5×#106C2×D3semidirect
164. C5×C4⋊C8C2×D3semidirect
223. C3×#125C2×D5semidirect
244. C3×#107C2×D5semidirect
245. C3×#106C2×D5semidirect
246. C3×C4⋊C8C2×D5semidirect
321. #478D15direct (N × H)
446. #125C2×D15semidirect
463. #107C2×D15semidirect
467. #106C2×D15semidirect
471. C4⋊C8C2×D15semidirect
485. D15#478direct (N × H)
596. C3×C5C2×#478semidirect
671. C5D3×#478semidirect
696. C3D5×#478semidirect

Maximal subgroups

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

subgroupindex
D15×#1252
C4×D4×D152
C3×C5×#4782
#117511672
#117511102
#117509922
D15×#1072
#117509722
D15×#1062
#117509482
D15×C4⋊C82
D15×#1022
#117508672
#117508642
D5×#4783
D3×#4785