Finite Group Databasebeta

← C5×#73873 #14324038

Subgroups — C5×#73873 #14324038

Order 1920.

1392 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#930C211yesmaximal, characteristic
2C2×C5×#67⋊C4C212yesmaximal, complemented
3C3×C5×#380C211yesmaximal, characteristic, complemented
4C2×C5×C3⋊#95C211yesmaximal, characteristic, complemented
5C5×#4990C212yesmaximal, complemented
6C5×#4989C212yesmaximal, complemented
7C5×#4958C212yesmaximal, complemented
8C5×#4665C212yesmaximal, complemented
9C5×#4654C212yesmaximal, complemented
10C5×#2325—31nomaximal, Hall
11C23×C3×C4×C5C2211yescharacteristic
12C22×C5×#67C2212yes—
13C23×C5×Dic3C2211yescharacteristic
14C23×C5×Dic3C2211yescharacteristic
15C22×C5×D12C2211yescharacteristic
16C22×C4×C5×D3C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2212yes—
20C5×#930C418yescomplemented
21C2×C5×(C2×D3)⋊C4C2212yes—
22C2×C5×(C2×D3)⋊C4C2212yes—
23C2×C5×(C2×D3)⋊C4C2212yes—
24C2×C5×(C2×D3)⋊C4C2212yes—
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C5×Dic3⋊C4C2212yes—
27C2×C4×C5×Dic3C2212yes—
28C5×#67⋊C4—28no—
29C3×C5×#95C2212yes—
30C5×C3⋊#95C2212yes—
31C5×C3⋊#95C2212yes—
32C5×C3⋊#95C2212yes—
33C5×C3⋊#95C2212yes—
34#73873C511yesmaximal, characteristic, direct product factor, Hall
35C2×C5×#121—31no—
36C2×C4×C5×D4—32no—
37C5×#388—32no—
38C5×#387—32no—
39C5×#386—32no—
40C5×#386—32no—
41C5×#385—32no—
42C5×#380D311yescharacteristic, complemented
43C2×C5×#95—31no—
44C24×C3×C5C2311yescharacteristic
45C23×C5×D3C2312yes—
46C22×C3×C4×C5—41no—
47C22×C3×C4×C5—41no—
48C22×C3×C4×C5C2×C414yescomplemented
49C22×C3×C4×C5C2312yes—
50C22×C3×C4×C5C2312yes—
51C22×C3×C4×C5C2311yescharacteristic
52C22×C3×C4×C5C2311yescharacteristic
53C2×C5×#67—24no—
54C2×C5×#67—24no—
55C2×C5×#67C2×C418yescomplemented
56C22×C5×Dic3—22no—
57C22×C5×Dic3—41no—
58C22×C5×Dic3—41no—
59C22×C5×Dic3—41no—
60C22×C5×Dic3—41no—
61C22×C5×Dic3D414yescomplemented
62C22×C5×Dic3C2312yes—
63C22×C5×Dic3C2312yes—
64C22×C5×Dic3C2312yes—
65C2×C5×D12—41no—
66C2×C5×D12—41no—
67C2×C5×D12C2×C414yescomplemented
68C2×C4×C5×D3—24no—
69C2×C4×C5×D3—42no—
70C2×C4×C5×D3—42no—
71C3×C5×C4⋊C4—41no—
72C3×C5×C4⋊C4—41no—
73C3×C5×C22⋊C4—24no—
74C5×(C2×D3)⋊C4—24no—
75C5×(C2×D3)⋊C4—42no—
76C5×(C2×D3)⋊C4—42no—
77C5×(C2×D3)⋊C4C2×C418yescomplemented
78C5×C4⋊Dic3C2×C414yescomplemented
79C5×Dic3⋊C4—24no—
80C4×C5×Dic3—24no—
81C2×#930C2×C511yescharacteristic
82C2×#67⋊C4C2×C512yescomplemented
83C3×#380C2×C511yescharacteristic, complemented
84C2×C3⋊#95C2×C511yescharacteristic, complemented
85#4990C2×C512yescomplemented
86#4989C2×C512yescomplemented
87#4958C2×C512yescomplemented
88#4665C2×C512yescomplemented
89#4654C2×C512yescomplemented
90C22×C5×D4—32no—
91C22×C5×D4—31no—
92C23×C4×C5—31no—
93C23×C4×C5—31no—
94C23×C4×C5—32no—
95C23×C4×C5C2×D311yescharacteristic
96C5×#121—38no—
97C4×C5×D4—68no—
98C2×C5×C4⋊C4—31no—
99C2×C5×C4⋊C4—32no—
100C2×C5×C4⋊C4C2×D311yescharacteristic
101C2×C5×C4⋊C4C2×D311yescharacteristic
102C2×C5×C22⋊C4—32no—
103C2×C5×C22⋊C4—32no—
104C2×C5×C22⋊C4—32no—
105C2×C5×C22⋊C4—32no—
106C2×C5×C22⋊C4C2×D312yes—
107C2×C42×C5—32no—
108C5×#95—32no—
109C5×#95—32no—
110C5×#95—32no—
111C5×#95—32no—
112C5×#95C2×D312yes—
113#2325—31noSylow
114C23×C3×C5—21no—
115C23×C3×C5—21no—
116C23×C3×C5—21no—
117C23×C3×C5—21no—
118C23×C3×C5C22×C412yes—
119C23×C3×C5C2×D412yes—
120C23×C3×C5#4112yes—
121C23×C3×C5C2411yescharacteristic
122C22×C5×D3—22no—
123C22×C5×D3—22no—
124C22×C5×D3—22no—
125C22×C5×D3—22no—
126C22×C5×D3—22no—
127C22×C5×D3—22no—
128C22×C5×D3C22×C414yes—
129C2×C3×C4×C5—21no—
130C2×C3×C4×C5—21no—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—21no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—44no—
140C2×C3×C4×C5C22×C412yes—
141C2×C3×C4×C5C22×C412yes—
142C5×#67—216no—
143C2×C5×Dic3—22no—
144C2×C5×Dic3—22no—
145C2×C5×Dic3—22no—
146C2×C5×Dic3—22no—
147C2×C5×Dic3—22no—
148C2×C5×Dic3—22no—
149C2×C5×Dic3—22no—
150C2×C5×Dic3—44no—
151C2×C5×Dic3—44no—
152C2×C5×Dic3C22×C414yes—
153C2×C5×Dic3C2×D414yes—
154C5×D12—44no—
155C4×C5×D3—48no—
156C23×C3×C4C22×C511yescharacteristic
157C22×#67C22×C512yes—
158C23×Dic3C22×C511yescharacteristic
159C23×Dic3C22×C511yescharacteristic
160C22×D12C22×C511yescharacteristic
161C22×C4×D3C22×C512yes—
162C2×C3×C4⋊C4C22×C511yescharacteristic
163C2×C3×C4⋊C4C22×C511yescharacteristic
164C2×C3×C22⋊C4C22×C512yes—
165#930C4×C518yescomplemented
166C2×(C2×D3)⋊C4C22×C512yes—
167C2×(C2×D3)⋊C4C22×C512yes—
168C2×(C2×D3)⋊C4C22×C512yes—
169C2×(C2×D3)⋊C4C22×C512yes—
170C2×C4⋊Dic3C22×C511yescharacteristic
171C2×Dic3⋊C4C22×C512yes—
172C2×C4×Dic3C22×C512yes—
173#67⋊C4—28no—
174C3×#95C22×C512yes—
175C3⋊#95C22×C512yes—
176C3⋊#95C22×C512yes—
177C3⋊#95C22×C512yes—
178C3⋊#95C22×C512yes—
179C24×C5—32no—
180C24×C5C22×D311yescharacteristic
181C2×C5×D4—38no—
182C2×C5×D4—34no—
183C2×C5×D4—64no—
184C2×C5×D4—64no—
185C2×C5×D4—121no—
186C2×C5×D4—121no—
187C22×C4×C5—32no—
188C22×C4×C5—32no—
189C22×C4×C5—34no—
190C22×C4×C5—32no—
191C22×C4×C5—41no—
192C22×C4×C5—41no—
193C22×C4×C5—64no—
194C22×C4×C5—62no—
195C22×C4×C5—122no—
196C22×C4×C5—122no—
197C22×C4×C5—121no—
198C22×C4×C5—121no—
199C22×C4×C5—121no—
200C22×C4×C5—121no—
201C22×C4×C5C4×D314yescomplemented
202C22×C4×C5C22×D312yes—
203C22×C4×C5C22×D312yes—
204C22×C4×C5C22×D311yescharacteristic
205C22×C4×C5C22×D311yescharacteristic
206C5×C4⋊C4—34no—
207C5×C4⋊C4—41no—
208C5×C4⋊C4—41no—
209C5×C4⋊C4—64no—
210C5×C22⋊C4—24no—
211C5×C22⋊C4—38no—
212C5×C22⋊C4—64no—
213C5×C22⋊C4—122no—
214C5×C22⋊C4—122no—
215C42×C5—64no—
216C2×#121—31no—
217C2×C4×D4—32no—
218#388—32no—
219#387—32no—
220#386—32no—
221#386—32no—
222#385—32no—
223#380C5×D311yescharacteristic, complemented
224C2×#95—31no—
225C22×C3×C5—22no—
226C22×C3×C5—22no—
227C22×C3×C5—22no—
228C22×C3×C5—22no—
229C22×C3×C5—22no—
230C22×C3×C5—22no—
231C22×C3×C5C4×D414yes—
232C22×C3×C5C23×C411yescharacteristic
233C22×C3×C5C22×D411yescharacteristic
234C22×C3×C5C2×#4111yescharacteristic
235C22×C3×C5H(5,𝔽2)11yescharacteristic
236C22×C3×C5H(5,𝔽2)11yescharacteristic
237C22×C3×C5H(5,𝔽2)11yescharacteristic
238C22×C3×C52−1+411yescharacteristic
239C2×C5×D3—24no—
240C2×C5×D3—24no—
241C2×C5×D3—24no—
242C2×C5×D3—42no—
243C2×C5×D3—42no—
244C2×C5×D3—42no—
245C2×C5×D3—42no—
246C3×C4×C5—22no—
247C3×C4×C5—22no—
248C3×C4×C5—42no—
249C3×C4×C5—42no—
250C5×Dic3—24no—
251C5×Dic3—24no—
252C5×Dic3—42no—
253C24×C3C23×C511yescharacteristic
254C23×D3C23×C512yes—
255C22×C3×C4—41no—
256C22×C3×C4—41no—
257C22×C3×C4C2×C4×C514yescomplemented
258C22×C3×C4C23×C512yes—
259C22×C3×C4C23×C512yes—
260C22×C3×C4C23×C511yescharacteristic
261C22×C3×C4C23×C511yescharacteristic
262C2×#67—24no—
263C2×#67—24no—
264C2×#67C2×C4×C518yescomplemented
265C22×Dic3—22no—
266C22×Dic3—41no—
267C22×Dic3—41no—
268C22×Dic3—41no—
269C22×Dic3—41no—
270C22×Dic3C5×D414yescomplemented
271C22×Dic3C23×C512yes—
272C22×Dic3C23×C512yes—
273C22×Dic3C23×C512yes—
274C2×D12—41no—
275C2×D12—41no—
276C2×D12C2×C4×C514yescomplemented
277C2×C4×D3—24no—
278C2×C4×D3—42no—
279C2×C4×D3—42no—
280C3×C4⋊C4—41no—
281C3×C4⋊C4—41no—
282C3×C22⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—42no—
285(C2×D3)⋊C4—42no—
286(C2×D3)⋊C4C2×C4×C518yescomplemented
287C4⋊Dic3C2×C4×C514yescomplemented
288Dic3⋊C4—24no—
289C4×Dic3—24no—
290C23×C5—21no—
291C23×C5—21no—
292C23×C5—21no—
293C23×C5—21no—
294C23×C5—34no—
295C23×C5—62no—
296C23×C5—62no—
297C23×C5—62no—
298C23×C5—62no—
299C23×C5—62no—
300C23×C5—62no—
301C23×C5C2×C4×D312yes—
302C23×C5D3×D412yes—
303C23×C5#23912yes—
304C23×C5C23×D311yescharacteristic
305C5×D4—616no—
306C5×D4—124no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5—22no—
317C2×C4×C5—34no—
318C2×C4×C5—34no—
319C2×C4×C5—44no—
320C2×C4×C5—62no—
321C2×C4×C5—62no—
322C2×C4×C5—62no—
323C2×C4×C5—62no—
324C2×C4×C5—62no—
325C2×C4×C5—62no—
326C2×C4×C5—62no—
327C2×C4×C5—128no—
328C2×C4×C5—124no—
329C2×C4×C5—124no—
330C2×C4×C5C2×C4×D312yes—
331C2×C4×C5C2×C4×D312yes—
332C22×D4—32no—
333C22×D4—31no—
334C23×C4—31no—
335C23×C4—31no—
336C23×C4—32no—
337C23×C4C2×C5×D311yescharacteristic
338#121—38no—
339C4×D4—68no—
340C2×C4⋊C4—31no—
341C2×C4⋊C4—32no—
342C2×C4⋊C4C2×C5×D311yescharacteristic
343C2×C4⋊C4C2×C5×D311yescharacteristic
344C2×C22⋊C4—32no—
345C2×C22⋊C4—32no—
346C2×C22⋊C4—32no—
347C2×C22⋊C4—32no—
348C2×C22⋊C4C2×C5×D312yes—
349C2×C42—32no—
350#95—32no—
351#95—32no—
352#95—32no—
353#95—32no—
354#95C2×C5×D312yes—
355C2×C3×C5—24no—
356C2×C3×C5C2×C4×D411yescharacteristic
357C2×C3×C5#51811yescharacteristic
358C2×C3×C5#52011yescharacteristic
359C2×C3×C5#53411yescharacteristic
360C2×C3×C5#53711yescharacteristic
361C2×C3×C5#53811yescharacteristic
362C2×C3×C5#53911yescharacteristic
363C5×D3—44no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3C22×C4×C512yes—
369C23×C3C2×C5×D412yes—
370C23×C3C5×#4112yes—
371C23×C3C24×C511yescharacteristic
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3C22×C4×C514yes—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—44no—
390C2×C3×C4C22×C4×C512yes—
391C2×C3×C4C22×C4×C512yes—
392#67—216no—
393C2×Dic3—22no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—22no—
397C2×Dic3—22no—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—44no—
401C2×Dic3—44no—
402C2×Dic3C22×C4×C514yes—
403C2×Dic3C2×C5×D414yes—
404D12—44no—
405C4×D3—48no—
406C22×C5—22no—
407C22×C5—22no—
408C22×C5—22no—
409C22×C5—22no—
410C22×C5—22no—
411C22×C5—22no—
412C22×C5—64no—
413C22×C5—64no—
414C22×C5—64no—
415C22×C5—122no—
416C22×C5—122no—
417C22×C5—122no—
418C22×C5—122no—
419C22×C5#89314yes—
420C22×C5C22×C4×D311yescharacteristic
421C22×C5C2×D3×D411yescharacteristic
422C22×C5#100411yescharacteristic
423C22×C5#100411yescharacteristic
424C22×C5C2×#23911yescharacteristic
425C22×C5#100911yescharacteristic
426C22×C5#101011yescharacteristic
427C4×C5—22no—
428C4×C5—22no—
429C4×C5—42no—
430C4×C5—42no—
431C4×C5—64no—
432C4×C5—64no—
433C4×C5—122no—
434C24—32no—
435C24C22×C5×D311yescharacteristic
436C2×D4—38no—
437C2×D4—34no—
438C2×D4—64no—
439C2×D4—64no—
440C2×D4—121no—
441C2×D4—121no—
442C22×C4—32no—
443C22×C4—32no—
444C22×C4—34no—
445C22×C4—32no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—64no—
449C22×C4—62no—
450C22×C4—122no—
451C22×C4—122no—
452C22×C4—121no—
453C22×C4—121no—
454C22×C4—121no—
455C22×C4—121no—
456C22×C4C4×C5×D314yescomplemented
457C22×C4C22×C5×D312yes—
458C22×C4C22×C5×D312yes—
459C22×C4C22×C5×D311yescharacteristic
460C22×C4C22×C5×D311yescharacteristic
461C4⋊C4—34no—
462C4⋊C4—41no—
463C4⋊C4—41no—
464C4⋊C4—64no—
465C22⋊C4—24no—
466C22⋊C4—38no—
467C22⋊C4—64no—
468C22⋊C4—122no—
469C22⋊C4—122no—
470C42—64no—
471C3×C5#232511yescharacteristic, complemented, Hall
472C22×C3—22no—
473C22×C3—22no—
474C22×C3—22no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3C4×C5×D414yes—
479C22×C3C23×C4×C511yescharacteristic
480C22×C3C22×C5×D411yescharacteristic
481C22×C3C2×C5×#4111yescharacteristic
482C22×C3C5×H(5,𝔽2)11yescharacteristic
483C22×C3C5×H(5,𝔽2)11yescharacteristic
484C22×C3C5×H(5,𝔽2)11yescharacteristic
485C22×C3C5×2−1+411yescharacteristic
486C2×D3—24no—
487C2×D3—24no—
488C2×D3—24no—
489C2×D3—42no—
490C2×D3—42no—
491C2×D3—42no—
492C2×D3—42no—
493C3×C4—22no—
494C3×C4—22no—
495C3×C4—42no—
496C3×C4—42no—
497Dic3—24no—
498Dic3—24no—
499Dic3—42no—
500C2×C5—24no—
501C2×C5—124no—
502C2×C5#548611yescharacteristic
503C2×C5C2×#89311yescharacteristic
504C2×C5#552311yescharacteristic
505C2×C5#559711yescharacteristic
506C2×C5#560511yescharacteristic
507C2×C5#564411yescharacteristic
508C2×C5#564511yescharacteristic
509C23—21no—
510C23—21no—
511C23—21no—
512C23—21no—
513C23—34no—
514C23—62no—
515C23—62no—
516C23—62no—
517C23—62no—
518C23—62no—
519C23—62no—
520C23C2×C4×C5×D312yes—
521C23C5×D3×D412yes—
522C23C5×#23912yes—
523C23C23×C5×D311yescharacteristic
524D4—616no—
525D4—124no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—34no—
537C2×C4—34no—
538C2×C4—44no—
539C2×C4—62no—
540C2×C4—62no—
541C2×C4—62no—
542C2×C4—62no—
543C2×C4—62no—
544C2×C4—62no—
545C2×C4—62no—
546C2×C4—128no—
547C2×C4—124no—
548C2×C4—124no—
549C2×C4C2×C4×C5×D312yes—
550C2×C4C2×C4×C5×D312yes—
551C2×C3—24no—
552C2×C3C2×C4×C5×D411yescharacteristic
553C2×C3C5×#51811yescharacteristic
554C2×C3C5×#52011yescharacteristic
555C2×C3C5×#53411yescharacteristic
556C2×C3C5×#53711yescharacteristic
557C2×C3C5×#53811yescharacteristic
558C2×C3C5×#53911yescharacteristic
559D3—44no—
560C5#7387311yescharacteristic, direct product factor, Sylow
561C22—22no—
562C22—22no—
563C22—22no—
564C22—22no—
565C22—22no—
566C22—22no—
567C22—64no—
568C22—64no—
569C22—64no—
570C22—122no—
571C22—122no—
572C22—122no—
573C22—122no—
574C22C5×#89314yes—
575C22C22×C4×C5×D311yescharacteristic
576C22C2×C5×D3×D411yescharacteristic
577C22C5×#100411yescharacteristic
578C22C5×#100411yescharacteristic
579C22C2×C5×#23911yescharacteristic
580C22C5×#100911yescharacteristic
581C22C5×#101011yescharacteristic
582C4—22no—
583C4—22no—
584C4—42no—
585C4—42no—
586C4—64no—
587C4—64no—
588C4—122no—
589C3C5×#232511yescharacteristic, complemented, Sylow
590C2—24no—
591C2—124no—
592C2C5×#548611yescharacteristic
593C2C2×C5×#89311yescharacteristic
594C2C5×#552311yescharacteristic
595C2C5×#559711yescharacteristic
596C2C5×#560511yescharacteristic
597C2C5×#564411yescharacteristic
598C2C5×#564511yescharacteristic
subgroupG/H
centerC23×C5C23×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
FittingC3×C5×#380C2
socleC23×C3×C5C24
prime radicalC2×C5×#930C2
cosocleC23×C3C24×C5
hypercenterC5×#380D3
hypocenterC3C5×#2325
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C5 ◁ C5×#380

Complements

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

NH ≅ G/Ntype
2. C2×C5×#67⋊C4C2semidirect
3. C3×C5×#380C2semidirect
4. C2×C5×C3⋊#95C2semidirect
5. C5×#4990C2semidirect
6. C5×#4989C2semidirect
7. C5×#4958C2semidirect
8. C5×#4665C2semidirect
9. C5×#4654C2semidirect
20. C5×#930C4semidirect
34. #73873C5direct (N × H)
42. C5×#380D3semidirect
48. C22×C3×C4×C5C2×C4semidirect
55. C2×C5×#67C2×C4semidirect
61. C22×C5×Dic3D4semidirect
67. C2×C5×D12C2×C4semidirect
77. C5×(C2×D3)⋊C4C2×C4semidirect
78. C5×C4⋊Dic3C2×C4semidirect
82. C2×#67⋊C4C2×C5semidirect
83. C3×#380C2×C5semidirect
84. C2×C3⋊#95C2×C5semidirect
85. #4990C2×C5semidirect
86. #4989C2×C5semidirect
87. #4958C2×C5semidirect
88. #4665C2×C5semidirect
89. #4654C2×C5semidirect
165. #930C4×C5semidirect
201. C22×C4×C5C4×D3semidirect
223. #380C5×D3semidirect
257. C22×C3×C4C2×C4×C5semidirect
264. C2×#67C2×C4×C5semidirect
270. C22×Dic3C5×D4semidirect
276. C2×D12C2×C4×C5semidirect
286. (C2×D3)⋊C4C2×C4×C5semidirect
287. C4⋊Dic3C2×C4×C5semidirect
456. C22×C4C4×C5×D3semidirect
471. C3×C5#2325semidirect
560. C5#73873direct (N × H)
589. C3C5×#2325semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#9302
C2×C5×#67⋊C42
C3×C5×#3802
C2×C5×C3⋊#952
C5×#49902
C5×#49892
C5×#49582
C5×#46652
C5×#46542
C5×#23253
#738735