Finite Group Databasebeta

← C3×C5×#2395 #14275429

Subgroups — C3×C5×#2395 #14275429

Order 1920.

1120 conjugacy classes of subgroups.

The subgroup lattice has 552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×C3×C5×#117C211yesmaximal, characteristic, complemented
3C3×C5×#400C211yesmaximal, characteristic, complemented
4C3×C5×#399C211yesmaximal, characteristic, complemented
5C3×C5×#398C211yesmaximal, characteristic, complemented
6C3×C5×#397C212yesmaximal, complemented
7C3×C5×#397C211yesmaximal, characteristic, complemented
8C3×C5×#394C212yesmaximal
9C3×C4×C5×C4⋊C4C212yesmaximal, complemented
10C3×C4×C5×C22⋊C4C212yesmaximal, complemented
11C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
12C5×#2395C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C3×C4×C5×D4—24no—
17C3×C5×#117—24no—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2212yes—
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C22⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2211yescharacteristic
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2212yes—
27C2×C3×C5×C22⋊C4C2212yes—
28C2×C3×C5×C22⋊C4C2212yes—
29C2×C3×C42×C5C2212yes—
30C2×C3×C42×C5C2211yescharacteristic
31C2×C3×C42×C5C2212yes—
32C3×C5×#95C2212yes—
33C3×C5×#95C2212yes—
34C3×C5×#95C2211yescharacteristic
35C3×C5×#95C2211yescharacteristic
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2395C511yesmaximal, characteristic, direct product factor, Hall
39C2×C4×C5×D4C2×C311yescharacteristic
40C2×C5×#117C2×C311yescharacteristic, complemented
41C5×#400C2×C311yescharacteristic, complemented
42C5×#399C2×C311yescharacteristic, complemented
43C5×#398C2×C311yescharacteristic, complemented
44C5×#397C2×C311yescharacteristic, complemented
45C5×#397C2×C312yescomplemented
46C5×#394C2×C312yes—
47C4×C5×C4⋊C4C2×C312yescomplemented
48C4×C5×C22⋊C4C2×C311yescharacteristic, complemented
49C4×C5×C22⋊C4C2×C312yescomplemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2311yescharacteristic
52C2×C3×C5×D4—22no—
53C2×C3×C5×D4—22no—
54C2×C3×C5×D4—22no—
55C22×C3×C4×C5—24no—
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—24no—
58C22×C3×C4×C5D414yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2312yes—
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2312yes—
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2311yescharacteristic
68C3×C5×C4⋊C4—22no—
69C3×C5×C4⋊C4—22no—
70C3×C5×C4⋊C4—22no—
71C3×C5×C4⋊C4—24no—
72C3×C5×C4⋊C4—24no—
73C3×C5×C22⋊C4—24no—
74C3×C5×C22⋊C4—22no—
75C3×C5×C22⋊C4—24no—
76C3×C5×C22⋊C4—22no—
77C3×C5×C22⋊C4—24no—
78C3×C5×C22⋊C4—24no—
79C3×C42×C5—24no—
80C3×C42×C5—22no—
81C3×C42×C5—24no—
82C2×C3×C4×D4C2×C511yescharacteristic
83C2×C3×#117C2×C511yescharacteristic, complemented
84C3×#400C2×C511yescharacteristic, complemented
85C3×#399C2×C511yescharacteristic, complemented
86C3×#398C2×C511yescharacteristic, complemented
87C3×#397C2×C512yescomplemented
88C3×#397C2×C511yescharacteristic, complemented
89C3×#394C2×C512yes—
90C3×C4×C4⋊C4C2×C512yescomplemented
91C3×C4×C22⋊C4C2×C512yescomplemented
92C3×C4×C22⋊C4C2×C511yescharacteristic, complemented
93C22×C5×D4C22×C311yescharacteristic
94C23×C4×C5C22×C311yescharacteristic
95C23×C4×C5C22×C311yescharacteristic
96C4×C5×D4—24no—
97C5×#117—24no—
98C2×C5×C4⋊C4C22×C312yes—
99C2×C5×C4⋊C4C22×C312yes—
100C2×C5×C4⋊C4C22×C311yescharacteristic
101C2×C5×C4⋊C4C22×C311yescharacteristic
102C2×C5×C4⋊C4C22×C311yescharacteristic
103C2×C5×C22⋊C4C22×C312yes—
104C2×C5×C22⋊C4C22×C312yes—
105C2×C5×C22⋊C4C22×C312yes—
106C2×C5×C22⋊C4C22×C312yes—
107C2×C5×C22⋊C4C22×C311yescharacteristic
108C2×C5×C22⋊C4C22×C311yescharacteristic
109C2×C42×C5C22×C312yes—
110C2×C42×C5C22×C312yes—
111C2×C42×C5C22×C311yescharacteristic
112C5×#95C22×C312yes—
113C5×#95C22×C312yes—
114C5×#95C22×C311yescharacteristic
115C5×#95C22×C311yescharacteristic
116C5×#95C22×C312yes—
117C5×#95C22×C312yes—
118#2395C3×C511yescharacteristic, direct product factor, Sylow
119C23×C3×C5—21no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—22no—
124C23×C3×C5—21no—
125C23×C3×C5—21no—
126C23×C3×C5—21no—
127C23×C3×C5C2×D412yes—
128C23×C3×C5#4112yes—
129C23×C3×C5C2411yescharacteristic
130C3×C5×D4—28no—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—28no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—44no—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5#4114yes—
154C2×C3×C4×C5#4112yes—
155C2×C3×C4×C5#4114yes—
156C22×C3×D4C22×C511yescharacteristic
157C23×C3×C4C22×C511yescharacteristic
158C23×C3×C4C22×C511yescharacteristic
159C3×C4×D4—24no—
160C3×#117—24no—
161C2×C3×C4⋊C4C22×C512yes—
162C2×C3×C4⋊C4C22×C512yes—
163C2×C3×C4⋊C4C22×C511yescharacteristic
164C2×C3×C4⋊C4C22×C511yescharacteristic
165C2×C3×C4⋊C4C22×C511yescharacteristic
166C2×C3×C22⋊C4C22×C512yes—
167C2×C3×C22⋊C4C22×C512yes—
168C2×C3×C22⋊C4C22×C512yes—
169C2×C3×C22⋊C4C22×C512yes—
170C2×C3×C22⋊C4C22×C511yescharacteristic
171C2×C3×C22⋊C4C22×C511yescharacteristic
172C2×C3×C42C22×C512yes—
173C2×C3×C42C22×C512yes—
174C2×C3×C42C22×C511yescharacteristic
175C3×#95C22×C512yes—
176C3×#95C22×C511yescharacteristic
177C3×#95C22×C512yes—
178C3×#95C22×C511yescharacteristic
179C3×#95C22×C512yes—
180C3×#95C22×C512yes—
181C24×C5C23×C311yescharacteristic
182C24×C5C23×C311yescharacteristic
183C2×C5×D4—22no—
184C2×C5×D4—22no—
185C2×C5×D4—22no—
186C22×C4×C5—24no—
187C22×C4×C5—22no—
188C22×C4×C5—24no—
189C22×C4×C5C3×D414yes—
190C22×C4×C5C23×C311yescharacteristic
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C312yes—
193C22×C4×C5C23×C312yes—
194C22×C4×C5C23×C311yescharacteristic
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C312yes—
197C22×C4×C5C23×C311yescharacteristic
198C22×C4×C5C23×C311yescharacteristic
199C5×C4⋊C4—22no—
200C5×C4⋊C4—22no—
201C5×C4⋊C4—22no—
202C5×C4⋊C4—24no—
203C5×C4⋊C4—24no—
204C5×C22⋊C4—24no—
205C5×C22⋊C4—22no—
206C5×C22⋊C4—24no—
207C5×C22⋊C4—22no—
208C5×C22⋊C4—24no—
209C5×C22⋊C4—24no—
210C42×C5—24no—
211C42×C5—22no—
212C42×C5—24no—
213C2×C4×D4C2×C3×C511yescharacteristic
214C2×#117C2×C3×C511yescharacteristic, complemented
215#400C2×C3×C511yescharacteristic, complemented
216#399C2×C3×C511yescharacteristic, complemented
217#398C2×C3×C511yescharacteristic, complemented
218#397C2×C3×C512yescomplemented
219#397C2×C3×C511yescharacteristic, complemented
220#394C2×C3×C512yes—
221C4×C4⋊C4C2×C3×C512yescomplemented
222C4×C22⋊C4C2×C3×C512yescomplemented
223C4×C22⋊C4C2×C3×C511yescharacteristic, complemented
224C22×C3×C5—22no—
225C22×C3×C5—22no—
226C22×C3×C5—22no—
227C22×C3×C5—24no—
228C22×C3×C5—22no—
229C22×C3×C5—41no—
230C22×C3×C5—42no—
231C22×C3×C5—42no—
232C22×C3×C5—42no—
233C22×C3×C5—41no—
234C22×C3×C5C22×D411yescharacteristic
235C22×C3×C5C2×#4112yes—
236C22×C3×C5C2×#4111yescharacteristic
237C22×C3×C5C2×#4111yescharacteristic
238C22×C3×C5C2×#4112yes—
239C3×C4×C5—22no—
240C3×C4×C5—22no—
241C3×C4×C5—24no—
242C3×C4×C5—41no—
243C3×C4×C5—42no—
244C3×C4×C5—42no—
245C3×C4×C5—41no—
246C3×C4×C5—42no—
247C3×C4×C5#12314yes—
248C24×C3C23×C511yescharacteristic
249C24×C3C23×C511yescharacteristic
250C2×C3×D4—22no—
251C2×C3×D4—22no—
252C2×C3×D4—22no—
253C22×C3×C4—24no—
254C22×C3×C4—22no—
255C22×C3×C4—24no—
256C22×C3×C4C5×D414yes—
257C22×C3×C4C23×C512yes—
258C22×C3×C4C23×C511yescharacteristic
259C22×C3×C4C23×C511yescharacteristic
260C22×C3×C4C23×C512yes—
261C22×C3×C4C23×C512yes—
262C22×C3×C4C23×C511yescharacteristic
263C22×C3×C4C23×C512yes—
264C22×C3×C4C23×C511yescharacteristic
265C22×C3×C4C23×C511yescharacteristic
266C3×C4⋊C4—22no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—22no—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—24no—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—22no—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—24no—
277C3×C42—24no—
278C3×C42—22no—
279C3×C42—24no—
280C23×C5—21no—
281C23×C5—22no—
282C23×C5—22no—
283C23×C5—22no—
284C23×C5—22no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5C2×C3×D412yes—
289C23×C5C3×#4112yes—
290C23×C5C24×C311yescharacteristic
291C5×D4—28no—
292C2×C4×C5—21no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—21no—
297C2×C4×C5—28no—
298C2×C4×C5—21no—
299C2×C4×C5—22no—
300C2×C4×C5—22no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—22no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
311C2×C4×C5—44no—
312C2×C4×C5C2×C3×D412yes—
313C2×C4×C5C2×C3×D412yes—
314C2×C4×C5C3×#4114yes—
315C2×C4×C5C3×#4112yes—
316C2×C4×C5C3×#4114yes—
317C22×D4C22×C3×C511yescharacteristic
318C23×C4C22×C3×C511yescharacteristic
319C23×C4C22×C3×C511yescharacteristic
320C4×D4—24no—
321#117—24no—
322C2×C4⋊C4C22×C3×C511yescharacteristic
323C2×C4⋊C4C22×C3×C511yescharacteristic
324C2×C4⋊C4C22×C3×C511yescharacteristic
325C2×C4⋊C4C22×C3×C512yes—
326C2×C4⋊C4C22×C3×C512yes—
327C2×C22⋊C4C22×C3×C512yes—
328C2×C22⋊C4C22×C3×C511yescharacteristic
329C2×C22⋊C4C22×C3×C511yescharacteristic
330C2×C22⋊C4C22×C3×C512yes—
331C2×C22⋊C4C22×C3×C512yes—
332C2×C22⋊C4C22×C3×C512yes—
333C2×C42C22×C3×C512yes—
334C2×C42C22×C3×C511yescharacteristic
335C2×C42C22×C3×C512yes—
336#95C22×C3×C512yes—
337#95C22×C3×C511yescharacteristic
338#95C22×C3×C512yes—
339#95C22×C3×C511yescharacteristic
340#95C22×C3×C512yes—
341#95C22×C3×C512yes—
342C2×C3×C5—42no—
343C2×C3×C5—42no—
344C2×C3×C5C2×#12311yescharacteristic
345C2×C3×C5#52511yescharacteristic
346C2×C3×C5#52912yes—
347C2×C3×C5#52912yes—
348C2×C3×C5#53211yescharacteristic
349C23×C3—21no—
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3C2×C5×D412yes—
358C23×C3C5×#4112yes—
359C23×C3C24×C511yescharacteristic
360C3×D4—28no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—28no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—44no—
381C2×C3×C4C2×C5×D412yes—
382C2×C3×C4C2×C5×D412yes—
383C2×C3×C4C5×#4114yes—
384C2×C3×C4C5×#4112yes—
385C2×C3×C4C5×#4114yes—
386C22×C5—22no—
387C22×C5—22no—
388C22×C5—22no—
389C22×C5—24no—
390C22×C5—22no—
391C22×C5—41no—
392C22×C5—42no—
393C22×C5—42no—
394C22×C5—42no—
395C22×C5—41no—
396C22×C5C22×C3×D411yescharacteristic
397C22×C5C2×C3×#4112yes—
398C22×C5C2×C3×#4111yescharacteristic
399C22×C5C2×C3×#4111yescharacteristic
400C22×C5C2×C3×#4112yes—
401C4×C5—22no—
402C4×C5—22no—
403C4×C5—24no—
404C4×C5—41no—
405C4×C5—42no—
406C4×C5—42no—
407C4×C5—41no—
408C4×C5—42no—
409C4×C5C3×#12314yes—
410C24C23×C3×C511yescharacteristic
411C24C23×C3×C511yescharacteristic
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C22×C4—24no—
416C22×C4—22no—
417C22×C4—24no—
418C22×C4C3×C5×D414yes—
419C22×C4C23×C3×C512yes—
420C22×C4C23×C3×C511yescharacteristic
421C22×C4C23×C3×C511yescharacteristic
422C22×C4C23×C3×C512yes—
423C22×C4C23×C3×C512yes—
424C22×C4C23×C3×C511yescharacteristic
425C22×C4C23×C3×C512yes—
426C22×C4C23×C3×C511yescharacteristic
427C22×C4C23×C3×C511yescharacteristic
428C4⋊C4—22no—
429C4⋊C4—22no—
430C4⋊C4—22no—
431C4⋊C4—24no—
432C4⋊C4—24no—
433C22⋊C4—24no—
434C22⋊C4—22no—
435C22⋊C4—24no—
436C22⋊C4—22no—
437C22⋊C4—24no—
438C22⋊C4—24no—
439C42—24no—
440C42—22no—
441C42—24no—
442C3×C5#239511yescharacteristic, direct product factor, Hall
443C22×C3—22no—
444C22×C3—22no—
445C22×C3—22no—
446C22×C3—24no—
447C22×C3—22no—
448C22×C3—41no—
449C22×C3—42no—
450C22×C3—42no—
451C22×C3—42no—
452C22×C3—41no—
453C22×C3C22×C5×D411yescharacteristic
454C22×C3C2×C5×#4112yes—
455C22×C3C2×C5×#4111yescharacteristic
456C22×C3C2×C5×#4111yescharacteristic
457C22×C3C2×C5×#4112yes—
458C3×C4—22no—
459C3×C4—22no—
460C3×C4—24no—
461C3×C4—41no—
462C3×C4—42no—
463C3×C4—42no—
464C3×C4—41no—
465C3×C4—42no—
466C3×C4C5×#12314yes—
467C2×C5—42no—
468C2×C5—42no—
469C2×C5C2×C3×#12311yescharacteristic
470C2×C5C3×#52511yescharacteristic
471C2×C5C3×#52912yes—
472C2×C5C3×#52912yes—
473C2×C5C3×#53211yescharacteristic
474C23—21no—
475C23—22no—
476C23—22no—
477C23—22no—
478C23—22no—
479C23—21no—
480C23—21no—
481C23—21no—
482C23C2×C3×C5×D412yes—
483C23C3×C5×#4112yes—
484C23C24×C3×C511yescharacteristic
485D4—28no—
486C2×C4—21no—
487C2×C4—22no—
488C2×C4—22no—
489C2×C4—22no—
490C2×C4—21no—
491C2×C4—28no—
492C2×C4—21no—
493C2×C4—22no—
494C2×C4—22no—
495C2×C4—21no—
496C2×C4—22no—
497C2×C4—22no—
498C2×C4—22no—
499C2×C4—22no—
500C2×C4—22no—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—22no—
505C2×C4—44no—
506C2×C4C2×C3×C5×D412yes—
507C2×C4C2×C3×C5×D412yes—
508C2×C4C3×C5×#4114yes—
509C2×C4C3×C5×#4112yes—
510C2×C4C3×C5×#4114yes—
511C2×C3—42no—
512C2×C3—42no—
513C2×C3C2×C5×#12311yescharacteristic
514C2×C3C5×#52511yescharacteristic
515C2×C3C5×#52912yes—
516C2×C3C5×#52912yes—
517C2×C3C5×#53211yescharacteristic
518C5C3×#239511yescharacteristic, direct product factor, Sylow
519C22—22no—
520C22—22no—
521C22—22no—
522C22—24no—
523C22—22no—
524C22—41no—
525C22—42no—
526C22—42no—
527C22—42no—
528C22—41no—
529C22C22×C3×C5×D411yescharacteristic
530C22C2×C3×C5×#4112yes—
531C22C2×C3×C5×#4111yescharacteristic
532C22C2×C3×C5×#4111yescharacteristic
533C22C2×C3×C5×#4112yes—
534C4—22no—
535C4—22no—
536C4—24no—
537C4—41no—
538C4—42no—
539C4—42no—
540C4—41no—
541C4—42no—
542C4C3×C5×#12314yes—
543C3C5×#239511yescharacteristic, direct product factor, Sylow
544C2—42no—
545C2—42no—
546C2C2×C3×C5×#12311yescharacteristic
547C2C3×C5×#52511yescharacteristic
548C2C3×C5×#52912yes—
549C2C3×C5×#52912yes—
550C2C3×C5×#53211yescharacteristic
subgroupG/H
centerC22×C3×C4×C5C23
commutator, Frattini, cosocleC23C24×C3×C5
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C3×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×C5×#117C2semidirect
3. C3×C5×#400C2semidirect
4. C3×C5×#399C2semidirect
5. C3×C5×#398C2semidirect
6. C3×C5×#397C2semidirect
7. C3×C5×#397C2semidirect
9. C3×C4×C5×C4⋊C4C2semidirect
10. C3×C4×C5×C22⋊C4C2semidirect
11. C3×C4×C5×C22⋊C4C2semidirect
12. C5×#2395C3direct (N × H)
38. C3×#2395C5direct (N × H)
40. C2×C5×#117C2×C3semidirect
41. C5×#400C2×C3semidirect
42. C5×#399C2×C3semidirect
43. C5×#398C2×C3semidirect
44. C5×#397C2×C3semidirect
45. C5×#397C2×C3semidirect
47. C4×C5×C4⋊C4C2×C3semidirect
48. C4×C5×C22⋊C4C2×C3semidirect
49. C4×C5×C22⋊C4C2×C3semidirect
83. C2×C3×#117C2×C5semidirect
84. C3×#400C2×C5semidirect
85. C3×#399C2×C5semidirect
86. C3×#398C2×C5semidirect
87. C3×#397C2×C5semidirect
88. C3×#397C2×C5semidirect
90. C3×C4×C4⋊C4C2×C5semidirect
91. C3×C4×C22⋊C4C2×C5semidirect
92. C3×C4×C22⋊C4C2×C5semidirect
118. #2395C3×C5direct (N × H)
214. C2×#117C2×C3×C5semidirect
215. #400C2×C3×C5semidirect
216. #399C2×C3×C5semidirect
217. #398C2×C3×C5semidirect
218. #397C2×C3×C5semidirect
219. #397C2×C3×C5semidirect
221. C4×C4⋊C4C2×C3×C5semidirect
222. C4×C22⋊C4C2×C3×C5semidirect
223. C4×C22⋊C4C2×C3×C5semidirect
442. C3×C5#2395direct (N × H)
518. C5C3×#2395direct (N × H)
543. C3C5×#2395direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C2×C3×C5×#1172
C3×C5×#4002
C3×C5×#3992
C3×C5×#3982
C3×C5×#3972
C3×C5×#3942
C3×C4×C5×C4⋊C42
C3×C4×C5×C22⋊C42
C5×#23953
C3×#23955