Finite Group Databasebeta

← C3×D5×#559 #14484697

Subgroups — C3×D5×#559 #14484697

Order 1920.

2480 conjugacy classes of subgroups.

The subgroup lattice has 572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#559C211yesmaximal, characteristic, complemented
2C3×D5×#127C211yesmaximal, characteristic
3C3×#66047C211yesmaximal, characteristic, complemented
4C3×#66015C214yesmaximal, complemented
5C3×D5×#124C214yesmaximal, complemented
6C3×#65998C214yesmaximal, complemented
7C3×D5×#123C214yesmaximal, complemented
8C3×#65919C212yesmaximal, complemented
9C3×C4×Q8×D5C212yesmaximal, complemented
10C3×#65893C214yesmaximal, complemented
11C3×C4×D4×D5C214yesmaximal, complemented
12D5×#559C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5C2212yes—
14C2×C3×D4×D5C2214yes—
15C2×C3×D4×D5C2212yes—
16C22×C3×C4×D5C2214yes—
17C3×C5×#127C2211yescharacteristic
18C3×C5×#124C2214yescomplemented
19C3×C5×#123C2214yescomplemented
20C3×C4×C5×Q8C2212yescomplemented
21C3×C4×C5×D4C2214yescomplemented
22C3×#4093C2214yescomplemented
23C3×Q8×Dic5C2212yescomplemented
24C3×#4086C2214yes—
25C3×#4086C2212yes—
26C3×#4082C2214yescomplemented
27C3×#4081C2214yescomplemented
28C3×D4×Dic5C2214yescomplemented
29C3×#4075C2214yescomplemented
30C3×C4×C22⋊D5C2218yescomplemented
31C3×#4040C2218yescomplemented
32C3×#4039C2214yescomplemented
33C3×D5×C4⋊C4C2212yes—
34C3×D5×C4⋊C4C2214yes—
35C3×#4033C2212yescomplemented
36C3×#4033C2214yescomplemented
37C3×#4032C2214yescomplemented
38C3×#4031C2218yescomplemented
39C3×#4031C2218yescomplemented
40C3×#4029C2218yescomplemented
41C3×#4027C2218yescomplemented
42C3×D5×C22⋊C4C2218yes—
43C3×D5×C22⋊C4C2214yes—
44C3×#4021C2214yescomplemented
45C3×#4020C2211yescharacteristic
46C3×C4×D20C2214yescomplemented
47C3×C42×D5C2214yes—
48C3×C42×D5C2211yescharacteristic
49C3×C4×Dic10C2214yescomplemented
50C3×C4×Dic10C2212yescomplemented
51C2×C3×#559—51nomaximal, Hall
52C5×#559C2×C311yescharacteristic, complemented
53D5×#127C2×C311yescharacteristic
54#66047C2×C311yescharacteristic, complemented
55#66015C2×C314yescomplemented
56D5×#124C2×C314yescomplemented
57#65998C2×C314yescomplemented
58D5×#123C2×C314yescomplemented
59#65919C2×C312yescomplemented
60C4×Q8×D5C2×C312yescomplemented
61#65893C2×C314yescomplemented
62C4×D4×D5C2×C314yescomplemented
63C23×C3×D5C2314yes—
64C2×C3×C5×Q8C2312yes—
65C2×C3×C5×D4C2314yes—
66C2×C3×C5×D4C2312yes—
67C22×C3×C4×C5C2314yes—
68C2×C3×C22⋊D5C2318yes—
69C2×C3×C22⋊D5C2314yes—
70C22×C3×Dic5C2314yes—
71C3×Q8×D5—28no—
72C3×D4×D5—216no—
73C3×D4×D5—44no—
74C2×C3×D20C2314yes—
75C2×C3×D20C2312yes—
76C2×C3×C4×D5—48no—
77C2×C3×C4×D5C2314yes—
78C2×C3×C4×D5C2311yescharacteristic
79C2×C3×C4×D5C2314yes—
80C2×C3×C4×D5C2318yes—
81C2×C3×C4×D5C2312yes—
82C2×C3×Dic10C2312yes—
83C2×C3×Dic10C2314yes—
84C3×C5×C4⋊C4C2312yes—
85C3×C5×C4⋊C4C2314yes—
86C3×C5×C22⋊C4C2318yes—
87C3×C5×C22⋊C4C2314yes—
88C3×C42×C5C2311yescharacteristic
89C3×C42×C5C2314yes—
90C3×C22⋊Dic5C2318yes—
91C3×C22⋊Dic5C2314yes—
92C3×#685C2318yes—
93C3×#685C2318yes—
94C3×#685C2318yes—
95C3×C4⋊Dic5C2312yes—
96C3×C4⋊Dic5C2314yes—
97C3×#683C2314yes—
98C3×#683C2314yes—
99C3×#683C2314yes—
100C3×C4×Dic5C2314yes—
101C3×C4×Dic5C2312yes—
102C3×C4×Dic5C2311yescharacteristic
103C3×C4×Dic5C2314yes—
104C3×C4×Dic5C2314yes—
105C3×#559—51no—
106C3×#559—54no—
107C3×#559—54no—
108C3×#559—52no—
109C3×#559—54no—
110C3×#559D511yescharacteristic, direct product factor
111C2×C3×#127—51no—
112C2×C3×#124—54no—
113C2×C3×#123—54no—
114C2×C3×C4×Q8—52no—
115C2×C3×C4×D4—54no—
116C2×Q8×D5C22×C312yes—
117C2×D4×D5C22×C314yes—
118C2×D4×D5C22×C312yes—
119C22×C4×D5C22×C314yes—
120C5×#127C22×C311yescharacteristic
121C5×#124C22×C314yescomplemented
122C5×#123C22×C314yescomplemented
123C4×C5×Q8C22×C312yescomplemented
124C4×C5×D4C22×C314yescomplemented
125#4093C22×C314yescomplemented
126Q8×Dic5C22×C312yescomplemented
127#4086C22×C314yes—
128#4086C22×C312yes—
129#4082C22×C314yescomplemented
130#4081C22×C314yescomplemented
131D4×Dic5C22×C314yescomplemented
132#4075C22×C314yescomplemented
133C4×C22⋊D5C22×C318yescomplemented
134#4040C22×C318yescomplemented
135#4039C22×C314yescomplemented
136D5×C4⋊C4C22×C312yes—
137D5×C4⋊C4C22×C314yes—
138#4033C22×C312yescomplemented
139#4033C22×C314yescomplemented
140#4032C22×C314yescomplemented
141#4031C22×C318yescomplemented
142#4031C22×C318yescomplemented
143#4029C22×C318yescomplemented
144#4027C22×C318yescomplemented
145D5×C22⋊C4C22×C318yes—
146D5×C22⋊C4C22×C314yes—
147#4021C22×C314yescomplemented
148#4020C22×C311yescharacteristic
149C4×D20C22×C314yescomplemented
150C42×D5C22×C311yescharacteristic
151C42×D5C22×C314yes—
152C4×Dic10C22×C314yescomplemented
153C4×Dic10C22×C312yescomplemented
154C2×#559—51noSylow
155C23×C3×C5C2414yes—
156C22×C3×D5—216no—
157C22×C3×D5—28no—
158C22×C3×D5C2414yes—
159C22×C3×D5C2411yescharacteristic
160C3×C5×Q8—24no—
161C3×C5×D4—28no—
162C3×C5×D4—42no—
163C2×C3×C4×C5—44no—
164C2×C3×C4×C5C2411yescharacteristic
165C2×C3×C4×C5C2414yes—
166C2×C3×C4×C5C2414yes—
167C2×C3×C4×C5C2412yes—
168C3×C22⋊D5—216no—
169C3×C22⋊D5—44no—
170C2×C3×Dic5—44no—
171C2×C3×Dic5C2411yescharacteristic
172C2×C3×Dic5C2414yes—
173C2×C3×Dic5C2414yes—
174C2×C3×Dic5C2412yes—
175C3×D20—28no—
176C3×D20—42no—
177C3×C4×D5—28no—
178C3×C4×D5—28no—
179C3×C4×D5—22no—
180C3×C4×D5—48no—
181C3×C4×D5#4118yes—
182C3×Dic10—24no—
183C3×Dic10—28no—
184C22×C3×Q8—52no—
185C22×C3×D4—54no—
186C22×C3×D4—52no—
187C23×C3×C4—54no—
188C3×#127—52no—
189C3×#127—54no—
190C3×#127—51no—
191C3×#127C2×D511yescharacteristic
192C3×#124—54no—
193C3×#124—54no—
194C3×#124—58no—
195C3×#124—58no—
196C3×#124—54no—
197C3×#124C2×D514yescomplemented
198C3×#123—54no—
199C3×#123—54no—
200C3×#123—58no—
201C3×#123—58no—
202C3×#123—54no—
203C3×#123C2×D514yescomplemented
204C3×C4×Q8—52no—
205C3×C4×Q8—54no—
206C3×C4×Q8—52no—
207C3×C4×Q8—52no—
208C3×C4×Q8—54no—
209C3×C4×Q8C2×D512yescomplemented
210C3×C4×D4—54no—
211C3×C4×D4—58no—
212C3×C4×D4—54no—
213C3×C4×D4—58no—
214C3×C4×D4—54no—
215C3×C4×D4C2×D514yescomplemented
216C2×C3×C4⋊C4—52no—
217C2×C3×C4⋊C4—54no—
218C2×C3×C22⋊C4—58no—
219C2×C3×C22⋊C4—54no—
220C2×C3×C42—54no—
221C2×C3×C42—51no—
222C23×D5C23×C314yes—
223C2×C5×Q8C23×C312yes—
224C2×C5×D4C23×C314yes—
225C2×C5×D4C23×C312yes—
226C22×C4×C5C23×C314yes—
227C2×C22⋊D5C23×C318yes—
228C2×C22⋊D5C23×C314yes—
229C22×Dic5C23×C314yes—
230Q8×D5—28no—
231D4×D5—216no—
232D4×D5—44no—
233C2×D20C23×C314yes—
234C2×D20C23×C312yes—
235C2×C4×D5—48no—
236C2×C4×D5C23×C314yes—
237C2×C4×D5C23×C311yescharacteristic
238C2×C4×D5C23×C314yes—
239C2×C4×D5C23×C318yes—
240C2×C4×D5C23×C312yes—
241C2×Dic10C23×C312yes—
242C2×Dic10C23×C314yes—
243C5×C4⋊C4C23×C312yes—
244C5×C4⋊C4C23×C314yes—
245C5×C22⋊C4C23×C318yes—
246C5×C22⋊C4C23×C314yes—
247C42×C5C23×C314yes—
248C42×C5C23×C311yescharacteristic
249C22⋊Dic5C23×C318yes—
250C22⋊Dic5C23×C314yes—
251#685C23×C318yes—
252#685C23×C318yes—
253#685C23×C318yes—
254C4⋊Dic5C23×C312yes—
255C4⋊Dic5C23×C314yes—
256#683C23×C314yes—
257#683C23×C314yes—
258#683C23×C314yes—
259C4×Dic5C23×C312yes—
260C4×Dic5C23×C314yes—
261C4×Dic5C23×C314yes—
262C4×Dic5C23×C314yes—
263C4×Dic5C23×C311yescharacteristic
264#559—51no—
265#559—54no—
266#559—54no—
267#559—52no—
268#559—54no—
269#559C3×D511yescharacteristic, direct product factor
270C2×#127—51no—
271C2×#124—54no—
272C2×#123—54no—
273C2×C4×Q8—52no—
274C2×C4×D4—54no—
275C22×C3×C5—28no—
276C22×C3×C5—24no—
277C22×C3×C5C2511yescharacteristic
278C2×C3×D5—28no—
279C2×C3×D5—24no—
280C2×C3×D5—416no—
281C2×C3×D5C2×#4114yes—
282C2×C3×D5H(5,𝔽2)12yes—
283C3×C4×C5—24no—
284C3×C4×C5—24no—
285C3×C4×C5—21no—
286C3×C4×C5C2×#4114yes—
287C3×Dic5—24no—
288C3×Dic5—24no—
289C3×Dic5—21no—
290C3×Dic5C2×#4114yes—
291C24×C3—54no—
292C2×C3×Q8—54no—
293C2×C3×Q8—52no—
294C2×C3×Q8—108no—
295C2×C3×Q8C22×D512yes—
296C2×C3×D4—58no—
297C2×C3×D4—54no—
298C2×C3×D4—54no—
299C2×C3×D4—52no—
300C2×C3×D4—1016no—
301C2×C3×D4—204no—
302C2×C3×D4C22×D514yes—
303C2×C3×D4C22×D512yes—
304C22×C3×C4—52no—
305C22×C3×C4—54no—
306C22×C3×C4—54no—
307C22×C3×C4—54no—
308C22×C3×C4—51no—
309C22×C3×C4—58no—
310C22×C3×C4—208no—
311C22×C3×C4C22×D514yes—
312C3×C4⋊C4—54no—
313C3×C4⋊C4—54no—
314C3×C4⋊C4—54no—
315C3×C4⋊C4—52no—
316C3×C4⋊C4—54no—
317C3×C4⋊C4C22×D512yes—
318C3×C4⋊C4C22×D514yes—
319C3×C22⋊C4—58no—
320C3×C22⋊C4—54no—
321C3×C22⋊C4—58no—
322C3×C22⋊C4—58no—
323C3×C22⋊C4—58no—
324C3×C22⋊C4C22×D518yes—
325C3×C22⋊C4C22×D514yes—
326C3×C42—54no—
327C3×C42—54no—
328C3×C42—54no—
329C3×C42—51no—
330C3×C42—52no—
331C3×C42C22×D514yes—
332C3×C42C22×D511yescharacteristic
333C23×C5C24×C314yes—
334C22×D5—216no—
335C22×D5—28no—
336C22×D5C24×C314yes—
337C22×D5C24×C311yescharacteristic
338C5×Q8—24no—
339C5×D4—28no—
340C5×D4—42no—
341C2×C4×C5—44no—
342C2×C4×C5C24×C311yescharacteristic
343C2×C4×C5C24×C314yes—
344C2×C4×C5C24×C314yes—
345C2×C4×C5C24×C312yes—
346C22⋊D5—216no—
347C22⋊D5—44no—
348C2×Dic5—44no—
349C2×Dic5C24×C311yescharacteristic
350C2×Dic5C24×C314yes—
351C2×Dic5C24×C314yes—
352C2×Dic5C24×C312yes—
353D20—28no—
354D20—42no—
355C4×D5—28no—
356C4×D5—28no—
357C4×D5—22no—
358C4×D5—48no—
359C4×D5C3×#4118yes—
360Dic10—24no—
361Dic10—28no—
362C22×Q8—52no—
363C22×D4—54no—
364C22×D4—52no—
365C23×C4—54no—
366#127—52no—
367#127—54no—
368#127—51no—
369#127C2×C3×D511yescharacteristic
370#124—54no—
371#124—54no—
372#124—58no—
373#124—58no—
374#124—54no—
375#124C2×C3×D514yescomplemented
376#123—54no—
377#123—54no—
378#123—58no—
379#123—58no—
380#123—54no—
381#123C2×C3×D514yescomplemented
382C4×Q8—52no—
383C4×Q8—54no—
384C4×Q8—52no—
385C4×Q8—52no—
386C4×Q8—54no—
387C4×Q8C2×C3×D512yescomplemented
388C4×D4—54no—
389C4×D4—58no—
390C4×D4—54no—
391C4×D4—58no—
392C4×D4—54no—
393C4×D4C2×C3×D514yescomplemented
394C2×C4⋊C4—52no—
395C2×C4⋊C4—54no—
396C2×C22⋊C4—58no—
397C2×C22⋊C4—54no—
398C2×C42—54no—
399C2×C42—51no—
400C2×C3×C5—44no—
401C2×C3×C5C22×#4112yes—
402C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
403C3×D5—44no—
404C3×D5#55914yesdirect product factor
405C23×C3—51no—
406C23×C3—54no—
407C23×C3—108no—
408C23×C3—1016no—
409C23×C3C23×D514yes—
410C3×Q8—24no—
411C3×Q8—108no—
412C3×Q8—104no—
413C3×D4—28no—
414C3×D4—42no—
415C3×D4—1016no—
416C3×D4—108no—
417C3×D4—202no—
418C3×D4—204no—
419C2×C3×C4—44no—
420C2×C3×C4—52no—
421C2×C3×C4—58no—
422C2×C3×C4—54no—
423C2×C3×C4—54no—
424C2×C3×C4—51no—
425C2×C3×C4—108no—
426C2×C3×C4—102no—
427C2×C3×C4—108no—
428C2×C3×C4—208no—
429C2×C3×C4—204no—
430C2×C3×C4C23×D514yes—
431C2×C3×C4C23×D514yes—
432C2×C3×C4C23×D511yescharacteristic
433C2×C3×C4C23×D512yes—
434C22×C5—28no—
435C22×C5—24no—
436C22×C5C25×C311yescharacteristic
437C2×D5—28no—
438C2×D5—24no—
439C2×D5—416no—
440C2×D5C2×C3×#4114yes—
441C2×D5C3×H(5,𝔽2)12yes—
442C4×C5—24no—
443C4×C5—24no—
444C4×C5—21no—
445C4×C5C2×C3×#4114yes—
446Dic5—24no—
447Dic5—24no—
448Dic5—21no—
449Dic5C2×C3×#4114yes—
450C24—54no—
451C2×Q8—54no—
452C2×Q8—52no—
453C2×Q8—108no—
454C2×Q8C22×C3×D512yes—
455C2×D4—58no—
456C2×D4—54no—
457C2×D4—54no—
458C2×D4—52no—
459C2×D4—1016no—
460C2×D4—204no—
461C2×D4C22×C3×D514yes—
462C2×D4C22×C3×D512yes—
463C22×C4—52no—
464C22×C4—54no—
465C22×C4—54no—
466C22×C4—54no—
467C22×C4—51no—
468C22×C4—58no—
469C22×C4—208no—
470C22×C4C22×C3×D514yes—
471C4⋊C4—54no—
472C4⋊C4—52no—
473C4⋊C4—54no—
474C4⋊C4—54no—
475C4⋊C4—54no—
476C4⋊C4C22×C3×D512yes—
477C4⋊C4C22×C3×D514yes—
478C22⋊C4—58no—
479C22⋊C4—54no—
480C22⋊C4—58no—
481C22⋊C4—58no—
482C22⋊C4—58no—
483C22⋊C4C22×C3×D518yes—
484C22⋊C4C22×C3×D514yes—
485C42—54no—
486C42—54no—
487C42—54no—
488C42—51no—
489C42—52no—
490C42C22×C3×D514yes—
491C42C22×C3×D511yescharacteristic
492C3×C5C2×#55911yescharacteristic, complemented, Hall
493C22×C3—28no—
494C22×C3—24no—
495C22×C3—54no—
496C22×C3—52no—
497C22×C3—108no—
498C22×C3—104no—
499C22×C3—2016no—
500C22×C3C24×D511yescharacteristic
501C3×C4—24no—
502C3×C4—24no—
503C3×C4—21no—
504C3×C4—54no—
505C3×C4—104no—
506C3×C4—104no—
507C3×C4—101no—
508C3×C4D5×#4114yes—
509C2×C5—44no—
510C2×C5C22×C3×#4112yes—
511C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
512D5—44no—
513D5C3×#55914yesdirect product factor
514C23—51no—
515C23—54no—
516C23—108no—
517C23—1016no—
518C23C23×C3×D514yes—
519Q8—24no—
520Q8—108no—
521Q8—104no—
522D4—28no—
523D4—42no—
524D4—1016no—
525D4—108no—
526D4—202no—
527D4—204no—
528C2×C4—44no—
529C2×C4—52no—
530C2×C4—58no—
531C2×C4—54no—
532C2×C4—54no—
533C2×C4—51no—
534C2×C4—108no—
535C2×C4—102no—
536C2×C4—108no—
537C2×C4—208no—
538C2×C4—204no—
539C2×C4C23×C3×D514yes—
540C2×C4C23×C3×D514yes—
541C2×C4C23×C3×D511yescharacteristic
542C2×C4C23×C3×D512yes—
543C2×C3—44no—
544C2×C3—54no—
545C2×C3—204no—
546C2×C3C2×D5×#4112yes—
547C2×C3D5×H(5,𝔽2)11yescharacteristic
548C5C2×C3×#55911yescharacteristic, complemented, Sylow
549C22—28no—
550C22—24no—
551C22—54no—
552C22—52no—
553C22—108no—
554C22—104no—
555C22—2016no—
556C22C24×C3×D511yescharacteristic
557C4—24no—
558C4—24no—
559C4—21no—
560C4—54no—
561C4—104no—
562C4—104no—
563C4—101no—
564C4C3×D5×#4114yes—
565C3D5×#55911yescharacteristic, direct product factor, Sylow
566C2—44no—
567C2—54no—
568C2—204no—
569C2C2×C3×D5×#4112yes—
570C2C3×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC22×C3C24×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC3×C5×#559C2
socleC22×C3×C5C25
prime radicalC3×D5×#127C2
hypercenterC3×#559D5
hypocenterC5C2×C3×#559
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#559

Complements

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

NH ≅ G/Ntype
1. C3×C5×#559C2semidirect
3. C3×#66047C2semidirect
4. C3×#66015C2semidirect
5. C3×D5×#124C2semidirect
6. C3×#65998C2semidirect
7. C3×D5×#123C2semidirect
8. C3×#65919C2semidirect
9. C3×C4×Q8×D5C2semidirect
10. C3×#65893C2semidirect
11. C3×C4×D4×D5C2semidirect
12. D5×#559C3direct (N × H)
18. C3×C5×#124C22semidirect
19. C3×C5×#123C22semidirect
20. C3×C4×C5×Q8C22semidirect
21. C3×C4×C5×D4C22semidirect
22. C3×#4093C22semidirect
23. C3×Q8×Dic5C22semidirect
26. C3×#4082C22semidirect
27. C3×#4081C22semidirect
28. C3×D4×Dic5C22semidirect
29. C3×#4075C22semidirect
30. C3×C4×C22⋊D5C22semidirect
31. C3×#4040C22semidirect
32. C3×#4039C22semidirect
35. C3×#4033C22semidirect
36. C3×#4033C22semidirect
37. C3×#4032C22semidirect
38. C3×#4031C22semidirect
39. C3×#4031C22semidirect
40. C3×#4029C22semidirect
41. C3×#4027C22semidirect
44. C3×#4021C22semidirect
46. C3×C4×D20C22semidirect
49. C3×C4×Dic10C22semidirect
50. C3×C4×Dic10C22semidirect
52. C5×#559C2×C3semidirect
54. #66047C2×C3semidirect
55. #66015C2×C3semidirect
56. D5×#124C2×C3semidirect
57. #65998C2×C3semidirect
58. D5×#123C2×C3semidirect
59. #65919C2×C3semidirect
60. C4×Q8×D5C2×C3semidirect
61. #65893C2×C3semidirect
62. C4×D4×D5C2×C3semidirect
110. C3×#559D5direct (N × H)
121. C5×#124C22×C3semidirect
122. C5×#123C22×C3semidirect
123. C4×C5×Q8C22×C3semidirect
124. C4×C5×D4C22×C3semidirect
125. #4093C22×C3semidirect
126. Q8×Dic5C22×C3semidirect
129. #4082C22×C3semidirect
130. #4081C22×C3semidirect
131. D4×Dic5C22×C3semidirect
132. #4075C22×C3semidirect
133. C4×C22⋊D5C22×C3semidirect
134. #4040C22×C3semidirect
135. #4039C22×C3semidirect
138. #4033C22×C3semidirect
139. #4033C22×C3semidirect
140. #4032C22×C3semidirect
141. #4031C22×C3semidirect
142. #4031C22×C3semidirect
143. #4029C22×C3semidirect
144. #4027C22×C3semidirect
147. #4021C22×C3semidirect
149. C4×D20C22×C3semidirect
152. C4×Dic10C22×C3semidirect
153. C4×Dic10C22×C3semidirect
197. C3×#124C2×D5semidirect
203. C3×#123C2×D5semidirect
209. C3×C4×Q8C2×D5semidirect
215. C3×C4×D4C2×D5semidirect
269. #559C3×D5direct (N × H)
375. #124C2×C3×D5semidirect
381. #123C2×C3×D5semidirect
387. C4×Q8C2×C3×D5semidirect
393. C4×D4C2×C3×D5semidirect
404. C3×D5#559direct (N × H)
492. C3×C5C2×#559semidirect
513. D5C3×#559direct (N × H)
548. C5C2×C3×#559semidirect
565. C3D5×#559direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5592
C3×D5×#1272
C3×#660472
C3×#660152
C3×D5×#1242
C3×#659982
C3×D5×#1232
C3×#659192
C3×C4×Q8×D52
C3×#658932
C3×C4×D4×D52
D5×#5593
C2×C3×#5595