Finite Group Databasebeta

← C3×D5×#555 #14483911

Subgroups — C3×D5×#555 #14483911

Order 1920.

2480 conjugacy classes of subgroups.

The subgroup lattice has 588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#555C211yesmaximal, characteristic, complemented
2C3×#66068C211yesmaximal, characteristic, complemented
3C3×D5×C4⋊Q8C211yesmaximal, characteristic, complemented
4C3×D5×#124C214yesmaximal, complemented
5C3×#66004C214yesmaximal, complemented
6C3×#65950C214yesmaximal, complemented
7C3×D5×#121C214yesmaximal, complemented
8C3×#65897C212yesmaximal, complemented
9C3×C4×D4×D5C212yesmaximal, complemented
10C3×#65866C214yesmaximal, complemented
11C3×D5×#117C214yesmaximal, complemented
12D5×#555C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5C2212yes—
14C2×C3×D4×D5C2212yes—
15C2×C3×D4×D5C2214yes—
16C22×C3×C4×D5C2214yes—
17C3×C5×C4⋊Q8C2211yescharacteristic, complemented
18C3×C5×#124C2214yescomplemented
19C3×C5×#121C2214yescomplemented
20C3×C4×C5×D4C2212yescomplemented
21C3×C5×#117C2214yescomplemented
22C3×#4093C2214yescomplemented
23C3×#4090C2212yescomplemented
24C3×#4085C2218yescomplemented
25C3×#4084C2214yescomplemented
26C3×#4082C2214yescomplemented
27C3×D4×Dic5C2212yescomplemented
28C3×#4076C2214yescomplemented
29C3×C4×C22⋊D5C2214yescomplemented
30C3×#4072C2214yescomplemented
31C3×#4041C2214yescomplemented
32C3×#4039C2212yescomplemented
33C3×#4038C2214yescomplemented
34C3×#4038C2214yescomplemented
35C3×D5×C4⋊C4C2212yes—
36C3×D5×C4⋊C4C2214yes—
37C3×#4034C2214yescomplemented
38C3×#4031C2218yescomplemented
39C3×#4031C2218yescomplemented
40C3×#4030C2218yescomplemented
41C3×#4027C2214yescomplemented
42C3×D5×C22⋊C4C2218yes—
43C3×D5×C22⋊C4C2214yes—
44C3×#4023C2218yescomplemented
45C3×#4021C2214yescomplemented
46C3×C4×D20C2212yescomplemented
47C3×#4018C2218yescomplemented
48C3×C42×D5C2214yes—
49C3×C42×D5C2211yescharacteristic
50C3×#4015C2211yescharacteristic, complemented
51C2×C3×#555—51nomaximal, Hall
52C5×#555C2×C311yescharacteristic, complemented
53#66068C2×C311yescharacteristic, complemented
54D5×C4⋊Q8C2×C311yescharacteristic, complemented
55D5×#124C2×C314yescomplemented
56#66004C2×C314yescomplemented
57#65950C2×C314yescomplemented
58D5×#121C2×C314yescomplemented
59#65897C2×C312yescomplemented
60C4×D4×D5C2×C312yescomplemented
61#65866C2×C314yescomplemented
62D5×#117C2×C314yescomplemented
63C23×C3×D5C2314yes—
64C2×C3×C5×Q8C2312yes—
65C2×C3×C5×D4C2312yes—
66C2×C3×C5×D4C2314yes—
67C22×C3×C4×C5C2314yes—
68C2×C3×C22⋊D5C2314yes—
69C2×C3×C22⋊D5C2318yes—
70C22×C3×Dic5C2314yes—
71C3×Q8×D5—44no—
72C3×D4×D5—28no—
73C3×D4×D5—48no—
74C2×C3×D20C2312yes—
75C2×C3×D20C2314yes—
76C2×C3×C4×D5—216no—
77C2×C3×C4×D5C2314yes—
78C2×C3×C4×D5C2314yes—
79C2×C3×C4×D5C2314yes—
80C2×C3×C4×D5C2314yes—
81C2×C3×C4×D5C2311yescharacteristic
82C2×C3×C4×D5C2312yes—
83C2×C3×Dic10C2314yes—
84C2×C3×Dic10C2312yes—
85C3×C5×C4⋊C4C2312yes—
86C3×C5×C4⋊C4C2314yes—
87C3×C5×C22⋊C4C2318yes—
88C3×C5×C22⋊C4C2314yes—
89C3×C42×C5C2311yescharacteristic
90C3×C42×C5C2314yes—
91C3×C22⋊Dic5C2314yes—
92C3×C22⋊Dic5C2318yes—
93C3×#685C2318yes—
94C3×#685C2314yes—
95C3×#685C2318yes—
96C3×#685C2314yes—
97C3×C4⋊Dic5C2312yes—
98C3×C4⋊Dic5C2314yes—
99C3×#683C2318yes—
100C3×#683C2314yes—
101C3×C4×Dic5C2312yes—
102C3×C4×Dic5C2314yes—
103C3×C4×Dic5C2311yescharacteristic
104C3×C4×Dic5C2318yes—
105C3×#555—51no—
106C3×#555—54no—
107C3×#555—54no—
108C3×#555—52no—
109C3×#555—54no—
110C3×#555D511yescharacteristic, direct product factor
111C2×C3×C4⋊Q8—51no—
112C2×C3×#124—54no—
113C2×C3×#121—54no—
114C2×C3×C4×D4—52no—
115C2×C3×#117—54no—
116C2×Q8×D5C22×C312yes—
117C2×D4×D5C22×C312yes—
118C2×D4×D5C22×C314yes—
119C22×C4×D5C22×C314yes—
120C5×C4⋊Q8C22×C311yescharacteristic, complemented
121C5×#124C22×C314yescomplemented
122C5×#121C22×C314yescomplemented
123C4×C5×D4C22×C312yescomplemented
124C5×#117C22×C314yescomplemented
125#4093C22×C314yescomplemented
126#4090C22×C312yescomplemented
127#4085C22×C318yescomplemented
128#4084C22×C314yescomplemented
129#4082C22×C314yescomplemented
130D4×Dic5C22×C312yescomplemented
131#4076C22×C314yescomplemented
132C4×C22⋊D5C22×C314yescomplemented
133#4072C22×C314yescomplemented
134#4041C22×C314yescomplemented
135#4039C22×C312yescomplemented
136#4038C22×C314yescomplemented
137#4038C22×C314yescomplemented
138D5×C4⋊C4C22×C314yes—
139D5×C4⋊C4C22×C312yes—
140#4034C22×C314yescomplemented
141#4031C22×C318yescomplemented
142#4031C22×C318yescomplemented
143#4030C22×C318yescomplemented
144#4027C22×C314yescomplemented
145D5×C22⋊C4C22×C318yes—
146D5×C22⋊C4C22×C314yes—
147#4023C22×C318yescomplemented
148#4021C22×C314yescomplemented
149C4×D20C22×C312yescomplemented
150#4018C22×C318yescomplemented
151C42×D5C22×C311yescharacteristic
152C42×D5C22×C314yes—
153#4015C22×C311yescharacteristic, complemented
154C2×#555—51noSylow
155C23×C3×C5C2414yes—
156C22×C3×D5—28no—
157C22×C3×D5—28no—
158C22×C3×D5—28no—
159C22×C3×D5C2414yes—
160C22×C3×D5C2411yescharacteristic
161C3×C5×Q8—42no—
162C3×C5×D4—24no—
163C3×C5×D4—44no—
164C2×C3×C4×C5—28no—
165C2×C3×C4×C5C2414yes—
166C2×C3×C4×C5C2414yes—
167C2×C3×C4×C5C2411yescharacteristic
168C2×C3×C4×C5C2412yes—
169C3×C22⋊D5—28no—
170C3×C22⋊D5—48no—
171C2×C3×Dic5—28no—
172C2×C3×Dic5C2414yes—
173C2×C3×Dic5C2414yes—
174C2×C3×Dic5C2411yescharacteristic
175C2×C3×Dic5C2412yes—
176C3×D20—24no—
177C3×D20—44no—
178C3×C4×D5—28no—
179C3×C4×D5—28no—
180C3×C4×D5—22no—
181C3×C4×D5—28no—
182C3×C4×D5—28no—
183C3×C4×D5#4118yes—
184C3×Dic10—44no—
185C3×Dic10—42no—
186C22×C3×Q8—52no—
187C22×C3×D4—52no—
188C22×C3×D4—54no—
189C23×C3×C4—54no—
190C3×C4⋊Q8—52no—
191C3×C4⋊Q8—54no—
192C3×C4⋊Q8—51no—
193C3×C4⋊Q8C2×D511yescharacteristic, complemented
194C3×#124—54no—
195C3×#124—54no—
196C3×#124—58no—
197C3×#124—58no—
198C3×#124—54no—
199C3×#124C2×D514yescomplemented
200C3×#121—54no—
201C3×#121—58no—
202C3×#121—54no—
203C3×#121—54no—
204C3×#121—58no—
205C3×#121C2×D514yescomplemented
206C3×C4×D4—52no—
207C3×C4×D4—54no—
208C3×C4×D4—52no—
209C3×C4×D4—54no—
210C3×C4×D4—52no—
211C3×C4×D4C2×D512yescomplemented
212C3×#117—54no—
213C3×#117—54no—
214C3×#117—54no—
215C3×#117—58no—
216C3×#117—58no—
217C3×#117C2×D514yescomplemented
218C2×C3×C4⋊C4—52no—
219C2×C3×C4⋊C4—54no—
220C2×C3×C22⋊C4—58no—
221C2×C3×C22⋊C4—54no—
222C2×C3×C42—54no—
223C2×C3×C42—51no—
224C23×D5C23×C314yes—
225C2×C5×Q8C23×C312yes—
226C2×C5×D4C23×C312yes—
227C2×C5×D4C23×C314yes—
228C22×C4×C5C23×C314yes—
229C2×C22⋊D5C23×C314yes—
230C2×C22⋊D5C23×C318yes—
231C22×Dic5C23×C314yes—
232Q8×D5—44no—
233D4×D5—28no—
234D4×D5—48no—
235C2×D20C23×C312yes—
236C2×D20C23×C314yes—
237C2×C4×D5—216no—
238C2×C4×D5C23×C314yes—
239C2×C4×D5C23×C314yes—
240C2×C4×D5C23×C314yes—
241C2×C4×D5C23×C314yes—
242C2×C4×D5C23×C311yescharacteristic
243C2×C4×D5C23×C312yes—
244C2×Dic10C23×C312yes—
245C2×Dic10C23×C314yes—
246C5×C4⋊C4C23×C312yes—
247C5×C4⋊C4C23×C314yes—
248C5×C22⋊C4C23×C318yes—
249C5×C22⋊C4C23×C314yes—
250C42×C5C23×C314yes—
251C42×C5C23×C311yescharacteristic
252C22⋊Dic5C23×C318yes—
253C22⋊Dic5C23×C314yes—
254#685C23×C318yes—
255#685C23×C318yes—
256#685C23×C314yes—
257#685C23×C314yes—
258C4⋊Dic5C23×C314yes—
259C4⋊Dic5C23×C312yes—
260#683C23×C314yes—
261#683C23×C318yes—
262C4×Dic5C23×C318yes—
263C4×Dic5C23×C314yes—
264C4×Dic5C23×C311yescharacteristic
265C4×Dic5C23×C312yes—
266#555—51no—
267#555—54no—
268#555—54no—
269#555—52no—
270#555—54no—
271#555C3×D511yescharacteristic, direct product factor
272C2×C4⋊Q8—51no—
273C2×#124—54no—
274C2×#121—54no—
275C2×C4×D4—52no—
276C2×#117—54no—
277C22×C3×C5—24no—
278C22×C3×C5—24no—
279C22×C3×C5—24no—
280C22×C3×C5C2511yescharacteristic
281C2×C3×D5—24no—
282C2×C3×D5—24no—
283C2×C3×D5—24no—
284C2×C3×D5—416no—
285C2×C3×D5C2×#4114yes—
286C2×C3×D5H(5,𝔽2)12yes—
287C3×C4×C5—24no—
288C3×C4×C5—21no—
289C3×C4×C5—24no—
290C3×C4×C5C2×#4114yes—
291C3×Dic5—24no—
292C3×Dic5—21no—
293C3×Dic5—24no—
294C3×Dic5C2×#4114yes—
295C24×C3—54no—
296C2×C3×Q8—54no—
297C2×C3×Q8—52no—
298C2×C3×Q8—204no—
299C2×C3×Q8C22×D512yes—
300C2×C3×D4—54no—
301C2×C3×D4—58no—
302C2×C3×D4—52no—
303C2×C3×D4—54no—
304C2×C3×D4—108no—
305C2×C3×D4—208no—
306C2×C3×D4C22×D512yes—
307C2×C3×D4C22×D514yes—
308C22×C3×C4—52no—
309C22×C3×C4—54no—
310C22×C3×C4—54no—
311C22×C3×C4—51no—
312C22×C3×C4—54no—
313C22×C3×C4—54no—
314C22×C3×C4—54no—
315C22×C3×C4—1016no—
316C22×C3×C4C22×D514yes—
317C3×C4⋊C4—54no—
318C3×C4⋊C4—58no—
319C3×C4⋊C4—52no—
320C3×C4⋊C4—54no—
321C3×C4⋊C4C22×D512yes—
322C3×C4⋊C4C22×D514yes—
323C3×C22⋊C4—58no—
324C3×C22⋊C4—54no—
325C3×C22⋊C4—58no—
326C3×C22⋊C4—58no—
327C3×C22⋊C4—54no—
328C3×C22⋊C4—54no—
329C3×C22⋊C4C22×D518yes—
330C3×C22⋊C4C22×D514yes—
331C3×C42—54no—
332C3×C42—58no—
333C3×C42—51no—
334C3×C42—52no—
335C3×C42C22×D514yes—
336C3×C42C22×D511yescharacteristic
337C23×C5C24×C314yes—
338C22×D5—28no—
339C22×D5—28no—
340C22×D5—28no—
341C22×D5C24×C314yes—
342C22×D5C24×C311yescharacteristic
343C5×Q8—42no—
344C5×D4—24no—
345C5×D4—44no—
346C2×C4×C5—28no—
347C2×C4×C5C24×C314yes—
348C2×C4×C5C24×C314yes—
349C2×C4×C5C24×C311yescharacteristic
350C2×C4×C5C24×C312yes—
351C22⋊D5—28no—
352C22⋊D5—48no—
353C2×Dic5—28no—
354C2×Dic5C24×C314yes—
355C2×Dic5C24×C314yes—
356C2×Dic5C24×C311yescharacteristic
357C2×Dic5C24×C312yes—
358D20—24no—
359D20—44no—
360C4×D5—28no—
361C4×D5—28no—
362C4×D5—22no—
363C4×D5—28no—
364C4×D5—28no—
365C4×D5C3×#4118yes—
366Dic10—44no—
367Dic10—42no—
368C22×Q8—52no—
369C22×D4—52no—
370C22×D4—54no—
371C23×C4—54no—
372C4⋊Q8—52no—
373C4⋊Q8—54no—
374C4⋊Q8—51no—
375C4⋊Q8C2×C3×D511yescharacteristic, complemented
376#124—54no—
377#124—54no—
378#124—58no—
379#124—58no—
380#124—54no—
381#124C2×C3×D514yescomplemented
382#121—54no—
383#121—58no—
384#121—54no—
385#121—54no—
386#121—58no—
387#121C2×C3×D514yescomplemented
388C4×D4—52no—
389C4×D4—54no—
390C4×D4—52no—
391C4×D4—54no—
392C4×D4—52no—
393C4×D4C2×C3×D512yescomplemented
394#117—54no—
395#117—54no—
396#117—54no—
397#117—58no—
398#117—58no—
399#117C2×C3×D514yescomplemented
400C2×C4⋊C4—52no—
401C2×C4⋊C4—54no—
402C2×C22⋊C4—58no—
403C2×C22⋊C4—54no—
404C2×C42—54no—
405C2×C42—51no—
406C2×C3×C5—44no—
407C2×C3×C5C22×#4112yes—
408C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
409C3×D5—44no—
410C3×D5#55514yesdirect product factor
411C23×C3—51no—
412C23×C3—54no—
413C23×C3—108no—
414C23×C3—108no—
415C23×C3—108no—
416C23×C3C23×D514yes—
417C3×Q8—42no—
418C3×Q8—204no—
419C3×Q8—202no—
420C3×D4—24no—
421C3×D4—44no—
422C3×D4—108no—
423C3×D4—104no—
424C3×D4—204no—
425C3×D4—208no—
426C2×C3×C4—28no—
427C2×C3×C4—52no—
428C2×C3×C4—58no—
429C2×C3×C4—54no—
430C2×C3×C4—51no—
431C2×C3×C4—54no—
432C2×C3×C4—108no—
433C2×C3×C4—108no—
434C2×C3×C4—108no—
435C2×C3×C4—102no—
436C2×C3×C4—108no—
437C2×C3×C4—108no—
438C2×C3×C4C23×D514yes—
439C2×C3×C4C23×D511yescharacteristic
440C2×C3×C4C23×D514yes—
441C2×C3×C4C23×D512yes—
442C22×C5—24no—
443C22×C5—24no—
444C22×C5—24no—
445C22×C5C25×C311yescharacteristic
446C2×D5—24no—
447C2×D5—24no—
448C2×D5—24no—
449C2×D5—416no—
450C2×D5C2×C3×#4114yes—
451C2×D5C3×H(5,𝔽2)12yes—
452C4×C5—24no—
453C4×C5—21no—
454C4×C5—24no—
455C4×C5C2×C3×#4114yes—
456Dic5—24no—
457Dic5—21no—
458Dic5—24no—
459Dic5C2×C3×#4114yes—
460C24—54no—
461C2×Q8—54no—
462C2×Q8—52no—
463C2×Q8—204no—
464C2×Q8C22×C3×D512yes—
465C2×D4—54no—
466C2×D4—58no—
467C2×D4—52no—
468C2×D4—54no—
469C2×D4—108no—
470C2×D4—208no—
471C2×D4C22×C3×D512yes—
472C2×D4C22×C3×D514yes—
473C22×C4—52no—
474C22×C4—54no—
475C22×C4—54no—
476C22×C4—51no—
477C22×C4—54no—
478C22×C4—54no—
479C22×C4—54no—
480C22×C4—1016no—
481C22×C4C22×C3×D514yes—
482C4⋊C4—54no—
483C4⋊C4—52no—
484C4⋊C4—58no—
485C4⋊C4—54no—
486C4⋊C4C22×C3×D512yes—
487C4⋊C4C22×C3×D514yes—
488C22⋊C4—58no—
489C22⋊C4—54no—
490C22⋊C4—58no—
491C22⋊C4—58no—
492C22⋊C4—54no—
493C22⋊C4—54no—
494C22⋊C4C22×C3×D518yes—
495C22⋊C4C22×C3×D514yes—
496C42—54no—
497C42—58no—
498C42—51no—
499C42—52no—
500C42C22×C3×D514yes—
501C42C22×C3×D511yescharacteristic
502C3×C5C2×#55511yescharacteristic, complemented, Hall
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—54no—
507C22×C3—52no—
508C22×C3—104no—
509C22×C3—104no—
510C22×C3—104no—
511C22×C3—2016no—
512C22×C3C24×D511yescharacteristic
513C3×C4—24no—
514C3×C4—24no—
515C3×C4—21no—
516C3×C4—54no—
517C3×C4—104no—
518C3×C4—104no—
519C3×C4—101no—
520C3×C4D5×#4114yes—
521C2×C5—44no—
522C2×C5C22×C3×#4112yes—
523C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
524D5—44no—
525D5C3×#55514yesdirect product factor
526C23—51no—
527C23—54no—
528C23—108no—
529C23—108no—
530C23—108no—
531C23C23×C3×D514yes—
532Q8—42no—
533Q8—204no—
534Q8—202no—
535D4—24no—
536D4—44no—
537D4—108no—
538D4—104no—
539D4—204no—
540D4—208no—
541C2×C4—28no—
542C2×C4—52no—
543C2×C4—58no—
544C2×C4—54no—
545C2×C4—51no—
546C2×C4—54no—
547C2×C4—108no—
548C2×C4—108no—
549C2×C4—108no—
550C2×C4—102no—
551C2×C4—108no—
552C2×C4—108no—
553C2×C4C23×C3×D514yes—
554C2×C4C23×C3×D511yescharacteristic
555C2×C4C23×C3×D514yes—
556C2×C4C23×C3×D512yes—
557C2×C3—44no—
558C2×C3—54no—
559C2×C3—204no—
560C2×C3C2×D5×#4112yes—
561C2×C3D5×H(5,𝔽2)11yescharacteristic
562C5C2×C3×#55511yescharacteristic, complemented, Sylow
563C22—24no—
564C22—24no—
565C22—24no—
566C22—54no—
567C22—52no—
568C22—104no—
569C22—104no—
570C22—104no—
571C22—2016no—
572C22C24×C3×D511yescharacteristic
573C4—24no—
574C4—24no—
575C4—21no—
576C4—54no—
577C4—104no—
578C4—104no—
579C4—101no—
580C4C3×D5×#4114yes—
581C3D5×#55511yescharacteristic, direct product factor, Sylow
582C2—44no—
583C2—54no—
584C2—204no—
585C2C2×C3×D5×#4112yes—
586C2C3×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22×C3C24×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC3×C5×#555C2
socleC22×C3×C5C25
hypercenterC3×#555D5
hypocenterC5C2×C3×#555
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#555

Complements

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

NH ≅ G/Ntype
1. C3×C5×#555C2semidirect
2. C3×#66068C2semidirect
3. C3×D5×C4⋊Q8C2semidirect
4. C3×D5×#124C2semidirect
5. C3×#66004C2semidirect
6. C3×#65950C2semidirect
7. C3×D5×#121C2semidirect
8. C3×#65897C2semidirect
9. C3×C4×D4×D5C2semidirect
10. C3×#65866C2semidirect
11. C3×D5×#117C2semidirect
12. D5×#555C3direct (N × H)
17. C3×C5×C4⋊Q8C22semidirect
18. C3×C5×#124C22semidirect
19. C3×C5×#121C22semidirect
20. C3×C4×C5×D4C22semidirect
21. C3×C5×#117C22semidirect
22. C3×#4093C22semidirect
23. C3×#4090C22semidirect
24. C3×#4085C22semidirect
25. C3×#4084C22semidirect
26. C3×#4082C22semidirect
27. C3×D4×Dic5C22semidirect
28. C3×#4076C22semidirect
29. C3×C4×C22⋊D5C22semidirect
30. C3×#4072C22semidirect
31. C3×#4041C22semidirect
32. C3×#4039C22semidirect
33. C3×#4038C22semidirect
34. C3×#4038C22semidirect
37. C3×#4034C22semidirect
38. C3×#4031C22semidirect
39. C3×#4031C22semidirect
40. C3×#4030C22semidirect
41. C3×#4027C22semidirect
44. C3×#4023C22semidirect
45. C3×#4021C22semidirect
46. C3×C4×D20C22semidirect
47. C3×#4018C22semidirect
50. C3×#4015C22semidirect
52. C5×#555C2×C3semidirect
53. #66068C2×C3semidirect
54. D5×C4⋊Q8C2×C3semidirect
55. D5×#124C2×C3semidirect
56. #66004C2×C3semidirect
57. #65950C2×C3semidirect
58. D5×#121C2×C3semidirect
59. #65897C2×C3semidirect
60. C4×D4×D5C2×C3semidirect
61. #65866C2×C3semidirect
62. D5×#117C2×C3semidirect
110. C3×#555D5direct (N × H)
120. C5×C4⋊Q8C22×C3semidirect
121. C5×#124C22×C3semidirect
122. C5×#121C22×C3semidirect
123. C4×C5×D4C22×C3semidirect
124. C5×#117C22×C3semidirect
125. #4093C22×C3semidirect
126. #4090C22×C3semidirect
127. #4085C22×C3semidirect
128. #4084C22×C3semidirect
129. #4082C22×C3semidirect
130. D4×Dic5C22×C3semidirect
131. #4076C22×C3semidirect
132. C4×C22⋊D5C22×C3semidirect
133. #4072C22×C3semidirect
134. #4041C22×C3semidirect
135. #4039C22×C3semidirect
136. #4038C22×C3semidirect
137. #4038C22×C3semidirect
140. #4034C22×C3semidirect
141. #4031C22×C3semidirect
142. #4031C22×C3semidirect
143. #4030C22×C3semidirect
144. #4027C22×C3semidirect
147. #4023C22×C3semidirect
148. #4021C22×C3semidirect
149. C4×D20C22×C3semidirect
150. #4018C22×C3semidirect
153. #4015C22×C3semidirect
193. C3×C4⋊Q8C2×D5semidirect
199. C3×#124C2×D5semidirect
205. C3×#121C2×D5semidirect
211. C3×C4×D4C2×D5semidirect
217. C3×#117C2×D5semidirect
271. #555C3×D5direct (N × H)
375. C4⋊Q8C2×C3×D5semidirect
381. #124C2×C3×D5semidirect
387. #121C2×C3×D5semidirect
393. C4×D4C2×C3×D5semidirect
399. #117C2×C3×D5semidirect
410. C3×D5#555direct (N × H)
502. C3×C5C2×#555semidirect
525. D5C3×#555direct (N × H)
562. C5C2×C3×#555semidirect
581. C3D5×#555direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5552
C3×#660682
C3×D5×C4⋊Q82
C3×D5×#1242
C3×#660042
C3×#659502
C3×D5×#1212
C3×#658972
C3×C4×D4×D52
C3×#658662
C3×D5×#1172
D5×#5553
C2×C3×#5555