Finite Group Databasebeta

← D15×#537 #14480559

Subgroups — D15×#537 #14480559

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×D15C212yesmaximal, complemented
2C3×C5×#537C211yesmaximal, characteristic, complemented
3#11756592C212yesmaximal, complemented
4#11756388C214yesmaximal, complemented
5D15×C22⋊Q8C214yesmaximal, complemented
6#11756367C214yesmaximal, complemented
7D15×#121C214yesmaximal, complemented
8D15×#121C214yesmaximal, complemented
9#11756356C214yesmaximal, complemented
10#11756269C211yesmaximal, characteristic, complemented
11C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
12D5×#537—31nomaximal, Hall
13C2×C3×C5×#41C2212yescomplemented
14#41×D15—216no—
15C2×#6821C2212yescomplemented
16C2×Q8×D15C2212yes—
17C2×#6819C2214yescomplemented
18C2×#6819C2212yescomplemented
19C2×D4×D15C2214yes—
20C2×D4×D15C2212yes—
21C2×D4×D15C2214yes—
22C2×#6817C2212yescomplemented
23C2×#6817C2214yescomplemented
24C22×C4×D15C2214yes—
25C22×C4×D15C2212yes—
26C22×C4×D15C2211yescharacteristic
27C3×C5×C22⋊Q8C2214yescomplemented
28C3×C5×#121C2214yescomplemented
29C3×C5×#121C2214yescomplemented
30C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
31#91835C2214yescomplemented
32#91828C2218yescomplemented
33#91828C2218yescomplemented
34#91827C2214yescomplemented
35#91827C2214yescomplemented
36#91819C2214yescomplemented
37#91819C2214yescomplemented
38C2×C4⋊Dic15C2211yescharacteristic, complemented
39#91813C2214yescomplemented
40C2×#6712C2212yescomplemented
41#91786C2214yescomplemented
42#91785C2218yescomplemented
43#91784C2214yescomplemented
44#91784C2214yescomplemented
45C4⋊C4×D15C2214yes—
46C4⋊C4×D15C2214yes—
47C4⋊C4×D15C2214yescomplemented
48#91773C2218yescomplemented
49#91773C2218yescomplemented
50C22⋊C4×D15C2218yes—
51#91767C2218yescomplemented
52D3×#537—51nomaximal, Hall
53C2×D5×#41—32no—
54C5×#537D311yescharacteristic, complemented
55#66167—32no—
56#65963—34no—
57D5×C22⋊Q8—34no—
58#65942—34no—
59D5×#121—34no—
60D5×#121—34no—
61#65931—34no—
62#65844—31no—
63C2×D5×C4⋊C4—31no—
64C23×D15C2314yes—
65C23×D15C2311yescharacteristic
66C3×C5×#41—28no—
67C2×C3×C5×Q8C2312yes—
68C2×C3×C5×D4C2312yes—
69C2×C3×C5×D4C2314yes—
70C2×C3×C5×D4C2314yes—
71C22×C3×C4×C5C2314yes—
72C22×C3×C4×C5C2312yes—
73C22×C3×C4×C5C2311yescharacteristic
74C2×#1220C2314yes—
75C2×#1220C2314yes—
76C2×#1220C2314yes—
77C2×#1220C2318yes—
78C22×Dic15C2314yes—
79C22×Dic15C2312yes—
80C22×Dic15C2311yescharacteristic
81#6821—28no—
82Q8×D15—28no—
83#6819—216no—
84#6819—28no—
85D4×D15—216no—
86D4×D15—28no—
87D4×D15—48no—
88#6817—28no—
89#6817—216no—
90C2×D60C2314yes—
91C2×D60C2312yes—
92C2×D60C2314yes—
93C2×C4×D15—216no—
94C2×C4×D15—44no—
95C2×C4×D15D418yescomplemented
96C2×C4×D15C2314yes—
97C2×C4×D15C2314yes—
98C2×C4×D15C2314yes—
99C2×C4×D15C2314yes—
100C2×C4×D15C2314yes—
101C2×C4×D15C2312yes—
102C2×C4×D15C2312yes—
103C2×Dic30C2314yes—
104C2×Dic30C2312yes—
105C3×C5×C4⋊C4C2314yes—
106C3×C5×C4⋊C4C2314yes—
107C3×C5×C22⋊C4C2318yes—
108#6719C2318yes—
109#6714C2318yes—
110#6714C2318yes—
111C4⋊Dic15C2314yes—
112C4⋊Dic15C2314yes—
113#6712C2318yes—
114#6712C2318yes—
115C2×D3×#41—52no—
116C3×#537D511yescharacteristic, complemented
117#5833—52no—
118#5629—54no—
119D3×C22⋊Q8—54no—
120#5608—54no—
121D3×#121—54no—
122D3×#121—54no—
123#5597—54no—
124#5510—51no—
125C2×D3×C4⋊C4—51no—
126C2×C5×#41C2×D312yescomplemented
127D5×#41—616no—
128C2×#713—32no—
129C2×Q8×D5—32no—
130C2×#711—34no—
131C2×#711—32no—
132C2×D4×D5—32no—
133C2×D4×D5—34no—
134C2×D4×D5—34no—
135C2×#709—32no—
136C2×#709—34no—
137C22×C4×D5—31no—
138C22×C4×D5—34no—
139C22×C4×D5—32no—
140C5×C22⋊Q8C2×D314yescomplemented
141C5×#121C2×D314yescomplemented
142C5×#121C2×D314yescomplemented
143C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
144#4092—34no—
145#4085—38no—
146#4085—38no—
147#4084—34no—
148#4084—34no—
149#4076—34no—
150#4076—34no—
151C2×C4⋊Dic5—31no—
152#4070—34no—
153C2×#683—32no—
154#4043—34no—
155#4042—38no—
156#4041—34no—
157#4041—34no—
158D5×C4⋊C4—34no—
159D5×C4⋊C4—34no—
160D5×C4⋊C4—34no—
161#4030—38no—
162#4030—38no—
163D5×C22⋊C4—38no—
164#4024—38no—
165C2×#537—151noSylow
166C23×C3×C5C2414yes—
167C23×C3×C5C2411yescharacteristic
168C22×D15—22no—
169C22×D15—22no—
170C22×D15—28no—
171C22×D15—28no—
172C22×D15—28no—
173C22×D15C2×D414yes—
174C22×D15C2414yes—
175C22×D15C2411yescharacteristic
176C22×D15C2411yescharacteristic
177C3×C5×Q8—24no—
178C3×C5×D4—28no—
179C3×C5×D4—24no—
180C3×C5×D4—44no—
181C2×C3×C4×C5—28no—
182C2×C3×C4×C5—42no—
183C2×C3×C4×C5C2×D414yescomplemented
184C2×C3×C4×C5C2414yes—
185C2×C3×C4×C5C2414yes—
186C2×C3×C4×C5C2412yes—
187#1220—28no—
188#1220—28no—
189#1220—28no—
190#1220—48no—
191C2×Dic15—28no—
192C2×Dic15—42no—
193C2×Dic15C2×D414yescomplemented
194C2×Dic15C2414yes—
195C2×Dic15C2414yes—
196C2×Dic15C2412yes—
197D60—28no—
198D60—24no—
199D60—44no—
200C4×D15—28no—
201C4×D15—28no—
202C4×D15—28no—
203C4×D15—28no—
204C4×D15—44no—
205C4×D15C2×D418yes—
206C4×D15C2×D418yescomplemented
207Dic30—24no—
208Dic30—28no—
209C2×C3×#41C2×D512yescomplemented
210D3×#41—1016no—
211C2×#239—52no—
212C2×D3×Q8—52no—
213C2×#237—54no—
214C2×#237—52no—
215C2×D3×D4—52no—
216C2×D3×D4—54no—
217C2×D3×D4—54no—
218C2×#235—52no—
219C2×#235—54no—
220C22×C4×D3—51no—
221C22×C4×D3—54no—
222C22×C4×D3—52no—
223C3×C22⋊Q8C2×D514yescomplemented
224C3×#121C2×D514yescomplemented
225C3×#121C2×D514yescomplemented
226C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
227#946—54no—
228#939—58no—
229#939—58no—
230#938—54no—
231#938—54no—
232#930—54no—
233#930—54no—
234C2×C4⋊Dic3—51no—
235#924—54no—
236C2×Dic3⋊C4—52no—
237#897—54no—
238#896—58no—
239#895—54no—
240#895—54no—
241D3×C4⋊C4—54no—
242D3×C4⋊C4—54no—
243D3×C4⋊C4—54no—
244#884—58no—
245#884—58no—
246D3×C22⋊C4—58no—
247#878—58no—
248C23×D5—31no—
249C23×D5—34no—
250C5×#41—28no—
251C2×C5×Q8C22×D312yes—
252C2×C5×D4C22×D312yes—
253C2×C5×D4C22×D314yes—
254C2×C5×D4C22×D314yes—
255C22×C4×C5C22×D314yes—
256C22×C4×C5C22×D312yes—
257C22×C4×C5C22×D311yescharacteristic
258C2×C22⋊D5—34no—
259C2×C22⋊D5—34no—
260C2×C22⋊D5—34no—
261C2×C22⋊D5—38no—
262C22×Dic5—31no—
263C22×Dic5—34no—
264C22×Dic5—32no—
265#713—68no—
266Q8×D5—68no—
267#711—68no—
268#711—616no—
269D4×D5—68no—
270D4×D5—616no—
271D4×D5—128no—
272#709—616no—
273#709—68no—
274C2×D20—34no—
275C2×D20—32no—
276C2×D20—34no—
277C2×C4×D5—38no—
278C2×C4×D5—32no—
279C2×C4×D5—32no—
280C2×C4×D5—34no—
281C2×C4×D5—34no—
282C2×C4×D5—34no—
283C2×C4×D5—34no—
284C2×C4×D5—34no—
285C2×C4×D5—616no—
286C2×C4×D5—124no—
287C2×Dic10—34no—
288C2×Dic10—32no—
289C5×C4⋊C4C22×D314yes—
290C5×C4⋊C4C22×D314yes—
291C5×C22⋊C4C22×D318yes—
292C22⋊Dic5—38no—
293#685—38no—
294#685—38no—
295C4⋊Dic5—34no—
296C4⋊Dic5—34no—
297#683—38no—
298#683—38no—
299C22×#41—152no—
300#537—152no—
301#537—154no—
302#537—154no—
303#537—154no—
304#537—151no—
305#537D1511yescharacteristic, direct product factor
306C2×C22⋊Q8—154no—
307C2×#121—154no—
308C2×#121—154no—
309C22×C4⋊C4—151no—
310C22×C3×C5—21no—
311C22×C3×C5—21no—
312C22×C3×C5—24no—
313C22×C3×C5—24no—
314C22×C3×C5—24no—
315C22×C3×C5C22×D412yes—
316C22×C3×C5C2511yescharacteristic
317C2×D15—21no—
318C2×D15—21no—
319C2×D15—28no—
320C2×D15—24no—
321C2×D15—24no—
322C2×D15—24no—
323C2×D15—416no—
324C2×D15C22×D412yes—
325C2×D15C22×D412yes—
326C2×D15H(5,𝔽2)12yes—
327C2×D152−1+412yes—
328C3×C4×C5—24no—
329C3×C4×C5—24no—
330C3×C4×C5C22×D414yes—
331Dic15—24no—
332Dic15—24no—
333Dic15C22×D414yes—
334C23×D3—51no—
335C23×D3—54no—
336C3×#41—28no—
337C2×C3×Q8C22×D512yes—
338C2×C3×D4C22×D512yes—
339C2×C3×D4C22×D514yes—
340C2×C3×D4C22×D514yes—
341C22×C3×C4C22×D514yes—
342C22×C3×C4C22×D512yes—
343C22×C3×C4C22×D511yescharacteristic
344C2×#67—54no—
345C2×#67—54no—
346C2×#67—54no—
347C2×#67—58no—
348C22×Dic3—51no—
349C22×Dic3—54no—
350C22×Dic3—52no—
351#239—108no—
352D3×Q8—108no—
353#237—108no—
354#237—1016no—
355D3×D4—108no—
356D3×D4—1016no—
357D3×D4—208no—
358#235—1016no—
359#235—108no—
360C2×D12—54no—
361C2×D12—52no—
362C2×D12—54no—
363C2×C4×D3—58no—
364C2×C4×D3—52no—
365C2×C4×D3—52no—
366C2×C4×D3—54no—
367C2×C4×D3—54no—
368C2×C4×D3—54no—
369C2×C4×D3—54no—
370C2×C4×D3—54no—
371C2×C4×D3—1016no—
372C2×C4×D3—204no—
373C2×Dic6—54no—
374C2×Dic6—52no—
375C3×C4⋊C4C22×D514yes—
376C3×C4⋊C4C22×D514yes—
377C3×C22⋊C4C22×D518yes—
378#217—58no—
379(C2×D3)⋊C4—58no—
380(C2×D3)⋊C4—58no—
381C4⋊Dic3—54no—
382C4⋊Dic3—54no—
383Dic3⋊C4—58no—
384Dic3⋊C4—58no—
385C23×C5C23×D314yes—
386C23×C5C23×D311yescharacteristic
387C22×D5—31no—
388C22×D5—34no—
389C22×D5—31no—
390C22×D5—34no—
391C22×D5—62no—
392C22×D5—62no—
393C22×D5—68no—
394C22×D5—68no—
395C22×D5—68no—
396C5×Q8—24no—
397C5×D4—28no—
398C5×D4—24no—
399C5×D4—44no—
400C2×C4×C5—28no—
401C2×C4×C5—42no—
402C2×C4×C5D3×D414yescomplemented
403C2×C4×C5C23×D314yes—
404C2×C4×C5C23×D314yes—
405C2×C4×C5C23×D312yes—
406C22⋊D5—68no—
407C22⋊D5—68no—
408C22⋊D5—68no—
409C22⋊D5—128no—
410C2×Dic5—34no—
411C2×Dic5—32no—
412C2×Dic5—34no—
413C2×Dic5—34no—
414C2×Dic5—68no—
415C2×Dic5—122no—
416D20—68no—
417D20—64no—
418D20—124no—
419C4×D5—38no—
420C4×D5—38no—
421C4×D5—68no—
422C4×D5—68no—
423C4×D5—68no—
424C4×D5—68no—
425C4×D5—124no—
426Dic10—68no—
427Dic10—64no—
428C2×#41—152no—
429C2×#41—154no—
430C2×#41—152no—
431C2×#41—154no—
432C2×#41—152no—
433C2×#41—3016no—
434C2×#41C2×D1512yescomplemented
435C22×Q8—152no—
436C22×D4—152no—
437C22×D4—154no—
438C22×D4—154no—
439C23×C4—151no—
440C23×C4—154no—
441C23×C4—152no—
442C22⋊Q8—154no—
443C22⋊Q8—154no—
444C22⋊Q8—158no—
445C22⋊Q8—154no—
446C22⋊Q8—158no—
447C22⋊Q8C2×D1514yescomplemented
448#121—154no—
449#121—154no—
450#121—158no—
451#121—158no—
452#121—154no—
453#121—154no—
454#121—154no—
455#121—154no—
456#121—158no—
457#121—158no—
458#121C2×D1514yescomplemented
459#121C2×D1514yescomplemented
460C2×C4⋊C4—152no—
461C2×C4⋊C4—151no—
462C2×C4⋊C4—154no—
463C2×C4⋊C4—154no—
464C2×C4⋊C4—154no—
465C2×C4⋊C4C2×D1511yescharacteristic, complemented
466C2×C22⋊C4—158no—
467C2×C3×C5—22no—
468C2×C3×C5—44no—
469C2×C3×C5C23×D411yescharacteristic
470C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
471C2×C3×C5C2×2−1+411yescharacteristic
472D15—22no—
473D15—44no—
474D15#53714yesdirect product factor
475C23×C3C23×D514yes—
476C23×C3C23×D511yescharacteristic
477C22×D3—51no—
478C22×D3—54no—
479C22×D3—51no—
480C22×D3—54no—
481C22×D3—102no—
482C22×D3—102no—
483C22×D3—108no—
484C22×D3—108no—
485C22×D3—108no—
486C3×Q8—24no—
487C3×D4—28no—
488C3×D4—24no—
489C3×D4—44no—
490C2×C3×C4—28no—
491C2×C3×C4—42no—
492C2×C3×C4D4×D514yescomplemented
493C2×C3×C4C23×D514yes—
494C2×C3×C4C23×D514yes—
495C2×C3×C4C23×D512yes—
496#67—108no—
497#67—108no—
498#67—108no—
499#67—208no—
500C2×Dic3—54no—
501C2×Dic3—52no—
502C2×Dic3—54no—
503C2×Dic3—54no—
504C2×Dic3—108no—
505C2×Dic3—202no—
506D12—108no—
507D12—104no—
508D12—204no—
509C4×D3—58no—
510C4×D3—58no—
511C4×D3—108no—
512C4×D3—108no—
513C4×D3—108no—
514C4×D3—108no—
515C4×D3—204no—
516Dic6—108no—
517Dic6—104no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—24no—
521C22×C5—24no—
522C22×C5—24no—
523C22×C5C2×D3×D412yes—
524C22×C5C24×D311yescharacteristic
525C2×D5—32no—
526C2×D5—32no—
527C2×D5—32no—
528C2×D5—32no—
529C2×D5—68no—
530C2×D5—61no—
531C2×D5—61no—
532C2×D5—64no—
533C2×D5—64no—
534C2×D5—64no—
535C2×D5—1216no—
536C4×C5—24no—
537C4×C5—24no—
538C4×C5C2×D3×D414yes—
539Dic5—34no—
540Dic5—64no—
541Dic5—64no—
542C24—151no—
543C24—154no—
544#41—28no—
545#41—3016no—
546#41—3016no—
547#41—308no—
548#41—308no—
549#41—308no—
550C2×Q8—154no—
551C2×Q8—152no—
552C2×Q8—308no—
553C2×Q8C22×D1512yes—
554C2×D4—154no—
555C2×D4—154no—
556C2×D4—154no—
557C2×D4—158no—
558C2×D4—154no—
559C2×D4—152no—
560C2×D4—154no—
561C2×D4—308no—
562C2×D4—3016no—
563C2×D4—608no—
564C2×D4C22×D1514yes—
565C2×D4C22×D1512yes—
566C2×D4C22×D1514yes—
567C22×C4—151no—
568C22×C4—158no—
569C22×C4—152no—
570C22×C4—152no—
571C22×C4—154no—
572C22×C4—152no—
573C22×C4—154no—
574C22×C4—154no—
575C22×C4—154no—
576C22×C4—154no—
577C22×C4—154no—
578C22×C4—3016no—
579C22×C4—604no—
580C22×C4C22×D1514yes—
581C22×C4C22×D1512yes—
582C22×C4C22×D1511yescharacteristic
583C4⋊C4—158no—
584C4⋊C4—154no—
585C4⋊C4—158no—
586C4⋊C4—154no—
587C4⋊C4C22×D1514yes—
588C4⋊C4C22×D1514yes—
589C22⋊C4—158no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4C22×D1518yes—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—21no—
595C22×C3—21no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3C2×D4×D512yes—
600C22×C3C24×D511yescharacteristic
601C2×D3—52no—
602C2×D3—52no—
603C2×D3—52no—
604C2×D3—52no—
605C2×D3—108no—
606C2×D3—101no—
607C2×D3—101no—
608C2×D3—104no—
609C2×D3—104no—
610C2×D3—104no—
611C2×D3—2016no—
612C3×C4—24no—
613C3×C4—24no—
614C3×C4C2×D4×D514yes—
615Dic3—54no—
616Dic3—104no—
617Dic3—104no—
618C2×C5—22no—
619C2×C5—44no—
620C2×C5C22×D3×D411yescharacteristic
621C2×C5D3×H(5,𝔽2)11yescharacteristic
622C2×C5D3×2−1+411yescharacteristic
623D5—34no—
624D5—62no—
625D5—124no—
626C23—151no—
627C23—154no—
628C23—151no—
629C23—154no—
630C23—302no—
631C23—302no—
632C23—308no—
633C23—308no—
634C23—308no—
635C23C23×D1514yes—
636C23C23×D1511yescharacteristic
637Q8—24no—
638Q8—308no—
639Q8—304no—
640D4—28no—
641D4—24no—
642D4—44no—
643D4—308no—
644D4—308no—
645D4—308no—
646D4—308no—
647D4—304no—
648D4—604no—
649D4—608no—
650C2×C4—28no—
651C2×C4—42no—
652C2×C4—154no—
653C2×C4—152no—
654C2×C4—158no—
655C2×C4—158no—
656C2×C4—154no—
657C2×C4—154no—
658C2×C4—308no—
659C2×C4—308no—
660C2×C4—308no—
661C2×C4—308no—
662C2×C4—308no—
663C2×C4—604no—
664C2×C4—602no—
665C2×C4D4×D1514yescomplemented
666C2×C4C23×D1514yes—
667C2×C4C23×D1514yes—
668C2×C4C23×D1512yes—
669C2×C3—22no—
670C2×C3—44no—
671C2×C3C22×D4×D511yescharacteristic
672C2×C3D5×H(5,𝔽2)11yescharacteristic
673C2×C3D5×2−1+411yescharacteristic
674D3—54no—
675D3—102no—
676D3—204no—
677C5D3×#53711yescharacteristic, complemented, Sylow
678C22—21no—
679C22—21no—
680C22—24no—
681C22—24no—
682C22—24no—
683C22—152no—
684C22—152no—
685C22—152no—
686C22—152no—
687C22—308no—
688C22—301no—
689C22—301no—
690C22—304no—
691C22—304no—
692C22—304no—
693C22—6016no—
694C22C2×D4×D1512yes—
695C22C24×D1511yescharacteristic
696C4—24no—
697C4—24no—
698C4—154no—
699C4—304no—
700C4—304no—
701C4C2×D4×D1514yes—
702C3D5×#53711yescharacteristic, complemented, Sylow
703C2—22no—
704C2—44no—
705C2—154no—
706C2—302no—
707C2—604no—
708C2C22×D4×D1511yescharacteristic
709C2D15×H(5,𝔽2)11yescharacteristic
710C2D15×2−1+411yescharacteristic
subgroupG/H
center, FrattiniC22C24×D15
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#537C2
hypercenter#537D15
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #537

Complements

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

NH ≅ G/Ntype
1. C2×#41×D15C2semidirect
2. C3×C5×#537C2semidirect
3. #11756592C2semidirect
4. #11756388C2semidirect
5. D15×C22⋊Q8C2semidirect
6. #11756367C2semidirect
7. D15×#121C2semidirect
8. D15×#121C2semidirect
9. #11756356C2semidirect
10. #11756269C2semidirect
11. C2×C4⋊C4×D15C2semidirect
13. C2×C3×C5×#41C22semidirect
15. C2×#6821C22semidirect
17. C2×#6819C22semidirect
18. C2×#6819C22semidirect
22. C2×#6817C22semidirect
23. C2×#6817C22semidirect
27. C3×C5×C22⋊Q8C22semidirect
28. C3×C5×#121C22semidirect
29. C3×C5×#121C22semidirect
30. C2×C3×C5×C4⋊C4C22semidirect
31. #91835C22semidirect
32. #91828C22semidirect
33. #91828C22semidirect
34. #91827C22semidirect
35. #91827C22semidirect
36. #91819C22semidirect
37. #91819C22semidirect
38. C2×C4⋊Dic15C22semidirect
39. #91813C22semidirect
40. C2×#6712C22semidirect
41. #91786C22semidirect
42. #91785C22semidirect
43. #91784C22semidirect
44. #91784C22semidirect
47. C4⋊C4×D15C22semidirect
48. #91773C22semidirect
49. #91773C22semidirect
51. #91767C22semidirect
54. C5×#537D3semidirect
95. C2×C4×D15D4semidirect
116. C3×#537D5semidirect
126. C2×C5×#41C2×D3semidirect
140. C5×C22⋊Q8C2×D3semidirect
141. C5×#121C2×D3semidirect
142. C5×#121C2×D3semidirect
143. C2×C5×C4⋊C4C2×D3semidirect
183. C2×C3×C4×C5C2×D4semidirect
193. C2×Dic15C2×D4semidirect
206. C4×D15C2×D4semidirect
209. C2×C3×#41C2×D5semidirect
223. C3×C22⋊Q8C2×D5semidirect
224. C3×#121C2×D5semidirect
225. C3×#121C2×D5semidirect
226. C2×C3×C4⋊C4C2×D5semidirect
305. #537D15direct (N × H)
402. C2×C4×C5D3×D4semidirect
434. C2×#41C2×D15semidirect
447. C22⋊Q8C2×D15semidirect
458. #121C2×D15semidirect
459. #121C2×D15semidirect
465. C2×C4⋊C4C2×D15semidirect
474. D15#537direct (N × H)
492. C2×C3×C4D4×D5semidirect
593. C3×C5C2×#537semidirect
665. C2×C4D4×D15semidirect
677. C5D3×#537semidirect
702. C3D5×#537semidirect

Maximal subgroups

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

subgroupindex
C2×#41×D152
C3×C5×#5372
#117565922
#117563882
D15×C22⋊Q82
#117563672
D15×#1212
#117563562
#117562692
C2×C4⋊C4×D152
D5×#5373
D3×#5375