Finite Group Databasebeta

← C3×#10614567 #14323541

Subgroups — C3×#10614567 #14323541

Order 1920.

1264 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#123C211yesmaximal, characteristic
2C2×C3×D4×Dic5C211yesmaximal, characteristic
3C22×C3×C4⋊Dic5C211yesmaximal, characteristic, complemented
4C3×#65509C211yesmaximal, characteristic
5C3×#65500C211yesmaximal, characteristic, complemented
6C3×#65274C212yesmaximal, complemented
7C3×#65270C212yesmaximal, complemented
8C3×#65240C212yesmaximal, complemented
9C3×#65239C211yesmaximal, characteristic, complemented
10C3×#65239C212yesmaximal, complemented
11C3×C22⋊C4×Dic5C211yesmaximal, characteristic, complemented
12#10614567C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×Dic5C2211yescharacteristic
16C23×C3×Dic5C2211yescharacteristic
17C23×C3×Dic5C2211yescharacteristic
18C3×C5×#123C418yescomplemented
19C2×C3×C5×C4⋊C4C2212yes—
20C2×C3×C5×C22⋊C4C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2212yes—
22C2×C3×C22⋊Dic5C2211yescharacteristic
23C2×C3×C22⋊Dic5C2211yescharacteristic
24C2×C3×C22⋊Dic5C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C3×D4×Dic5—24no—
27C2×C3×C4⋊Dic5—24no—
28C2×C3×C4⋊Dic5C2212yes—
29C2×C3×C4⋊Dic5C2212yes—
30C2×C3×C4⋊Dic5C2211yescharacteristic
31C2×C3×C4⋊Dic5C2212yes—
32C2×C3×C4×Dic5C2211yescharacteristic
33C2×C3×C4×Dic5C2212yes—
34C3×#3963C2212yes—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2322—51nomaximal, Hall
40C2×C5×#123C2×C311yescharacteristic
41C2×D4×Dic5C2×C311yescharacteristic
42C22×C4⋊Dic5C2×C311yescharacteristic, complemented
43#65509C2×C311yescharacteristic
44#65500C2×C311yescharacteristic, complemented
45#65274C2×C312yescomplemented
46#65270C2×C312yescomplemented
47#65240C2×C312yescomplemented
48#65239C2×C311yescharacteristic, complemented
49#65239C2×C312yescomplemented
50C22⋊C4×Dic5C2×C311yescharacteristic, complemented
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2311yescharacteristic
53C2×C3×C5×D4—22no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4C2×C414yes—
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—22no—
58C22×C3×C4×C5C2×C414yescomplemented
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2312yes—
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×Dic5—22no—
63C22×C3×Dic5—22no—
64C22×C3×Dic5—42no—
65C22×C3×Dic5—42no—
66C22×C3×Dic5—42no—
67C22×C3×Dic5D414yes—
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C22×C3×Dic5C2311yescharacteristic
72C22×C3×Dic5C2311yescharacteristic
73C22×C3×Dic5C2311yescharacteristic
74C3×C5×C4⋊C4C2×C418yescomplemented
75C3×C5×C22⋊C4C2×C414yescomplemented
76C3×C5×C22⋊C4C2×C418yescomplemented
77C3×C22⋊Dic5—22no—
78C3×C22⋊Dic5—22no—
79C3×C22⋊Dic5—22no—
80C3×C22⋊Dic5—42no—
81C3×C4⋊Dic5—22no—
82C3×C4⋊Dic5—24no—
83C3×C4⋊Dic5—24no—
84C3×C4⋊Dic5—42no—
85C3×C4×Dic5—22no—
86C3×C4×Dic5—42no—
87C2×C3×#123D511yescharacteristic
88C2×C3×C4×D4—51no—
89C22×C3×C4⋊C4—51no—
90C3×#389—52no—
91C3×#388—52no—
92C3×#387—52no—
93C3×#386—51no—
94C3×#385—52no—
95C3×#385—51no—
96C3×#381—51no—
97C3×C4×C22⋊C4—51no—
98C22×C5×D4C22×C311yescharacteristic
99C23×C4×C5C22×C311yescharacteristic
100C23×Dic5C22×C311yescharacteristic
101C23×Dic5C22×C311yescharacteristic
102C23×Dic5C22×C311yescharacteristic
103C5×#123C3×C418yescomplemented
104C2×C5×C4⋊C4C22×C312yes—
105C2×C5×C22⋊C4C22×C311yescharacteristic
106C2×C5×C22⋊C4C22×C312yes—
107C2×C22⋊Dic5C22×C311yescharacteristic
108C2×C22⋊Dic5C22×C311yescharacteristic
109C2×C22⋊Dic5C22×C311yescharacteristic
110C2×C22⋊Dic5C22×C312yes—
111D4×Dic5—24no—
112C2×C4⋊Dic5—24no—
113C2×C4⋊Dic5C22×C312yes—
114C2×C4⋊Dic5C22×C312yes—
115C2×C4⋊Dic5C22×C311yescharacteristic
116C2×C4⋊Dic5C22×C312yes—
117C2×C4×Dic5C22×C311yescharacteristic
118C2×C4×Dic5C22×C312yes—
119#3963C22×C312yes—
120#3963C22×C312yes—
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C312yes—
124#2322—51noSylow
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—22no—
130C23×C3×C5—22no—
131C23×C3×C5C22×C412yes—
132C23×C3×C5C22×C412yes—
133C23×C3×C5C2×D412yes—
134C23×C3×C5#4112yes—
135C23×C3×C5C2411yescharacteristic
136C3×C5×D4—28no—
137C2×C3×C4×C5—28no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5C22×C414yes—
145C2×C3×C4×C5C22×C414yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×Dic5—22no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—21no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—44no—
160C2×C3×Dic5—44no—
161C2×C3×Dic5—44no—
162C2×C3×Dic5C2×D412yes—
163C2×C3×Dic5C2×D412yes—
164C22×C3×D4C2×D511yescharacteristic
165C23×C3×C4—51no—
166C23×C3×C4—51no—
167C23×C3×C4—51no—
168C23×C3×C4C2×D511yescharacteristic
169C3×#123Dic518yescomplemented
170C3×C4×D4—104no—
171C2×C3×C4⋊C4—52no—
172C2×C3×C4⋊C4—52no—
173C2×C3×C4⋊C4—51no—
174C2×C3×C4⋊C4—52no—
175C2×C3×C4⋊C4—104no—
176C2×C3×C4⋊C4C2×D512yes—
177C2×C3×C22⋊C4—51no—
178C2×C3×C22⋊C4—51no—
179C2×C3×C22⋊C4—51no—
180C2×C3×C22⋊C4—52no—
181C2×C3×C22⋊C4C2×D511yescharacteristic
182C2×C3×C22⋊C4C2×D512yes—
183C2×C3×C42—51no—
184C2×C3×C42—52no—
185C3×#95—52no—
186C3×#95—52no—
187C3×#95—52no—
188C3×#95—52no—
189C3×#95—52no—
190C24×C5C23×C311yescharacteristic
191C24×C5C23×C311yescharacteristic
192C2×C5×D4—22no—
193C2×C5×D4—22no—
194C2×C5×D4C2×C3×C414yes—
195C22×C4×C5—22no—
196C22×C4×C5—22no—
197C22×C4×C5C2×C3×C414yescomplemented
198C22×C4×C5C23×C312yes—
199C22×C4×C5C23×C312yes—
200C22×C4×C5C23×C311yescharacteristic
201C22×Dic5—22no—
202C22×Dic5—22no—
203C22×Dic5—42no—
204C22×Dic5—42no—
205C22×Dic5—42no—
206C22×Dic5C3×D414yes—
207C22×Dic5C23×C311yescharacteristic
208C22×Dic5C23×C312yes—
209C22×Dic5C23×C312yes—
210C22×Dic5C23×C311yescharacteristic
211C22×Dic5C23×C311yescharacteristic
212C22×Dic5C23×C311yescharacteristic
213C5×C4⋊C4C2×C3×C418yescomplemented
214C5×C22⋊C4C2×C3×C414yescomplemented
215C5×C22⋊C4C2×C3×C418yescomplemented
216C22⋊Dic5—22no—
217C22⋊Dic5—22no—
218C22⋊Dic5—22no—
219C22⋊Dic5—42no—
220C4⋊Dic5—24no—
221C4⋊Dic5—24no—
222C4⋊Dic5—22no—
223C4⋊Dic5—42no—
224C4×Dic5—22no—
225C4×Dic5—42no—
226C2×#123C3×D511yescharacteristic
227C2×C4×D4—51no—
228C22×C4⋊C4—51no—
229#389—52no—
230#388—52no—
231#387—52no—
232#386—51no—
233#385—52no—
234#385—51no—
235#381—51no—
236C4×C22⋊C4—51no—
237C22×C3×C5—24no—
238C22×C3×C5—22no—
239C22×C3×C5—22no—
240C22×C3×C5—24no—
241C22×C3×C5—22no—
242C22×C3×C5—24no—
243C22×C3×C5—41no—
244C22×C3×C5—41no—
245C22×C3×C5—42no—
246C22×C3×C5C4×D414yes—
247C22×C3×C5C23×C411yescharacteristic
248C22×C3×C5C22×D411yescharacteristic
249C22×C3×C5C2×#4111yescharacteristic
250C22×C3×C5H(5,𝔽2)12yes—
251C22×C3×C52−1+412yes—
252C3×C4×C5—24no—
253C3×C4×C5—22no—
254C3×C4×C5—24no—
255C3×Dic5—22no—
256C3×Dic5—22no—
257C3×Dic5—42no—
258C3×Dic5—41no—
259C3×Dic5—41no—
260C3×Dic5—42no—
261C24×C3C22×D511yescharacteristic
262C24×C3C22×D511yescharacteristic
263C2×C3×D4—22no—
264C2×C3×D4—22no—
265C2×C3×D4C2×Dic514yes—
266C22×C3×C4—22no—
267C22×C3×C4—22no—
268C22×C3×C4—51no—
269C22×C3×C4—51no—
270C22×C3×C4—54no—
271C22×C3×C4—51no—
272C22×C3×C4—52no—
273C22×C3×C4—51no—
274C22×C3×C4—52no—
275C22×C3×C4—102no—
276C22×C3×C4—102no—
277C22×C3×C4—202no—
278C22×C3×C4—202no—
279C22×C3×C4—202no—
280C22×C3×C4C2×Dic514yescomplemented
281C22×C3×C4C22×D512yes—
282C22×C3×C4C22×D511yescharacteristic
283C22×C3×C4C22×D512yes—
284C3×C4⋊C4—104no—
285C3×C4⋊C4—104no—
286C3×C4⋊C4—102no—
287C3×C4⋊C4—202no—
288C3×C4⋊C4C2×Dic518yescomplemented
289C3×C22⋊C4—102no—
290C3×C22⋊C4—102no—
291C3×C22⋊C4—102no—
292C3×C22⋊C4—202no—
293C3×C22⋊C4C2×Dic514yescomplemented
294C3×C22⋊C4C2×Dic518yescomplemented
295C3×C42—102no—
296C3×C42—202no—
297C23×C5—22no—
298C23×C5—22no—
299C23×C5—21no—
300C23×C5—21no—
301C23×C5—22no—
302C23×C5—22no—
303C23×C5C22×C3×C412yes—
304C23×C5C22×C3×C412yes—
305C23×C5C2×C3×D412yes—
306C23×C5C3×#4112yes—
307C23×C5C24×C311yescharacteristic
308C5×D4—28no—
309C2×C4×C5—28no—
310C2×C4×C5—21no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—21no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5C22×C3×C414yes—
317C2×C4×C5C22×C3×C414yes—
318C2×C4×C5C22×C3×C412yes—
319C2×Dic5—22no—
320C2×Dic5—22no—
321C2×Dic5—21no—
322C2×Dic5—22no—
323C2×Dic5—21no—
324C2×Dic5—22no—
325C2×Dic5—22no—
326C2×Dic5—22no—
327C2×Dic5—22no—
328C2×Dic5—22no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5—44no—
332C2×Dic5—44no—
333C2×Dic5—44no—
334C2×Dic5C2×C3×D412yes—
335C2×Dic5C2×C3×D412yes—
336C22×D4C2×C3×D511yescharacteristic
337C23×C4—51no—
338C23×C4—51no—
339C23×C4—51no—
340C23×C4C2×C3×D511yescharacteristic
341#123C3×Dic518yescomplemented
342C4×D4—104no—
343C2×C4⋊C4—52no—
344C2×C4⋊C4—52no—
345C2×C4⋊C4—51no—
346C2×C4⋊C4—52no—
347C2×C4⋊C4—104no—
348C2×C4⋊C4C2×C3×D512yes—
349C2×C22⋊C4—51no—
350C2×C22⋊C4—51no—
351C2×C22⋊C4—51no—
352C2×C22⋊C4—52no—
353C2×C22⋊C4C2×C3×D511yescharacteristic
354C2×C22⋊C4C2×C3×D512yes—
355C2×C42—51no—
356C2×C42—52no—
357#95—52no—
358#95—52no—
359#95—52no—
360#95—52no—
361#95—52no—
362C2×C3×C5—24no—
363C2×C3×C5—42no—
364C2×C3×C5C2×C4×D411yescharacteristic
365C2×C3×C5#52012yes—
366C2×C3×C5#53411yescharacteristic
367C2×C3×C5#53611yescharacteristic
368C2×C3×C5#53912yes—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—21no—
372C23×C3—21no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3D4×D512yes—
376C23×C3#71112yes—
377C23×C3C22×Dic512yes—
378C23×C3C22×Dic512yes—
379C23×C3C23×D511yescharacteristic
380C3×D4—28no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—28no—
388C2×C3×C4—52no—
389C2×C3×C4—52no—
390C2×C3×C4—102no—
391C2×C3×C4—102no—
392C2×C3×C4—101no—
393C2×C3×C4—101no—
394C2×C3×C4—102no—
395C2×C3×C4—102no—
396C2×C3×C4—102no—
397C2×C3×C4—102no—
398C2×C3×C4—102no—
399C2×C3×C4—102no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—204no—
403C2×C3×C4—204no—
404C2×C3×C4—204no—
405C2×C3×C4C22×Dic514yes—
406C2×C3×C4C22×Dic514yes—
407C2×C3×C4C22×Dic512yes—
408C22×C5—24no—
409C22×C5—22no—
410C22×C5—22no—
411C22×C5—24no—
412C22×C5—22no—
413C22×C5—24no—
414C22×C5—41no—
415C22×C5—41no—
416C22×C5—42no—
417C22×C5C3×C4×D414yes—
418C22×C5C23×C3×C411yescharacteristic
419C22×C5C22×C3×D411yescharacteristic
420C22×C5C2×C3×#4111yescharacteristic
421C22×C5C3×H(5,𝔽2)12yes—
422C22×C5C3×2−1+412yes—
423C4×C5—24no—
424C4×C5—22no—
425C4×C5—24no—
426Dic5—22no—
427Dic5—22no—
428Dic5—42no—
429Dic5—41no—
430Dic5—41no—
431Dic5—42no—
432C24C22×C3×D511yescharacteristic
433C24C22×C3×D511yescharacteristic
434C2×D4—22no—
435C2×D4—22no—
436C2×D4C2×C3×Dic514yes—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—51no—
440C22×C4—51no—
441C22×C4—54no—
442C22×C4—51no—
443C22×C4—52no—
444C22×C4—51no—
445C22×C4—52no—
446C22×C4—102no—
447C22×C4—102no—
448C22×C4—202no—
449C22×C4—202no—
450C22×C4—202no—
451C22×C4C2×C3×Dic514yescomplemented
452C22×C4C22×C3×D512yes—
453C22×C4C22×C3×D511yescharacteristic
454C22×C4C22×C3×D512yes—
455C4⋊C4—104no—
456C4⋊C4—104no—
457C4⋊C4—102no—
458C4⋊C4—202no—
459C4⋊C4C2×C3×Dic518yescomplemented
460C22⋊C4—102no—
461C22⋊C4—102no—
462C22⋊C4—102no—
463C22⋊C4—202no—
464C22⋊C4C2×C3×Dic514yescomplemented
465C22⋊C4C2×C3×Dic518yescomplemented
466C42—102no—
467C42—202no—
468C3×C5#232211yescharacteristic, complemented, Hall
469C22×C3—24no—
470C22×C3—22no—
471C22×C3—22no—
472C22×C3—24no—
473C22×C3—22no—
474C22×C3—24no—
475C22×C3—41no—
476C22×C3—41no—
477C22×C3—42no—
478C22×C3D4×Dic514yes—
479C22×C3C2×D4×D511yescharacteristic
480C22×C3C2×#71111yescharacteristic
481C22×C3#414912yes—
482C22×C3#415012yes—
483C22×C3C23×Dic511yescharacteristic
484C3×C4—24no—
485C3×C4—22no—
486C3×C4—24no—
487C3×C4—102no—
488C3×C4—102no—
489C3×C4—201no—
490C3×C4—201no—
491C3×C4—202no—
492C3×C4—202no—
493C2×C5—24no—
494C2×C5—42no—
495C2×C5C2×C3×C4×D411yescharacteristic
496C2×C5C3×#52012yes—
497C2×C5C3×#53411yescharacteristic
498C2×C5C3×#53611yescharacteristic
499C2×C5C3×#53912yes—
500C23—22no—
501C23—22no—
502C23—21no—
503C23—21no—
504C23—22no—
505C23—22no—
506C23C3×D4×D512yes—
507C23C3×#71112yes—
508C23C22×C3×Dic512yes—
509C23C22×C3×Dic512yes—
510C23C23×C3×D511yescharacteristic
511D4—28no—
512C2×C4—28no—
513C2×C4—21no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—21no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—52no—
520C2×C4—52no—
521C2×C4—102no—
522C2×C4—102no—
523C2×C4—101no—
524C2×C4—101no—
525C2×C4—102no—
526C2×C4—102no—
527C2×C4—102no—
528C2×C4—102no—
529C2×C4—102no—
530C2×C4—102no—
531C2×C4—102no—
532C2×C4—102no—
533C2×C4—204no—
534C2×C4—204no—
535C2×C4—204no—
536C2×C4C22×C3×Dic514yes—
537C2×C4C22×C3×Dic514yes—
538C2×C4C22×C3×Dic512yes—
539C2×C3—24no—
540C2×C3—42no—
541C2×C3#6598211yescharacteristic
542C2×C3#6598711yescharacteristic
543C2×C3#6599912yes—
544C2×C3C2×D4×Dic511yescharacteristic
545C2×C3#6616112yes—
546C5C3×#232211yescharacteristic, complemented, Sylow
547C22—24no—
548C22—22no—
549C22—22no—
550C22—24no—
551C22—22no—
552C22—24no—
553C22—41no—
554C22—41no—
555C22—42no—
556C22C3×D4×Dic514yes—
557C22C2×C3×D4×D511yescharacteristic
558C22C2×C3×#71111yescharacteristic
559C22C3×#414912yes—
560C22C3×#415012yes—
561C22C23×C3×Dic511yescharacteristic
562C4—24no—
563C4—22no—
564C4—24no—
565C4—102no—
566C4—102no—
567C4—201no—
568C4—201no—
569C4—202no—
570C4—202no—
571C3#1061456711yescharacteristic, direct product factor, Sylow
572C2—24no—
573C2—42no—
574C2C3×#6598211yescharacteristic
575C2C3×#6598711yescharacteristic
576C2C3×#6599912yes—
577C2C2×C3×D4×Dic511yescharacteristic
578C2C3×#6616112yes—
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC2×C3×C5×#123C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C5C24×C3
hypercenterC2×C3×#123D5
hypocenterC5C3×#2322
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#123

Complements

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

NH ≅ G/Ntype
3. C22×C3×C4⋊Dic5C2semidirect
5. C3×#65500C2semidirect
6. C3×#65274C2semidirect
7. C3×#65270C2semidirect
8. C3×#65240C2semidirect
9. C3×#65239C2semidirect
10. C3×#65239C2semidirect
11. C3×C22⋊C4×Dic5C2semidirect
12. #10614567C3direct (N × H)
18. C3×C5×#123C4semidirect
42. C22×C4⋊Dic5C2×C3semidirect
44. #65500C2×C3semidirect
45. #65274C2×C3semidirect
46. #65270C2×C3semidirect
47. #65240C2×C3semidirect
48. #65239C2×C3semidirect
49. #65239C2×C3semidirect
50. C22⋊C4×Dic5C2×C3semidirect
58. C22×C3×C4×C5C2×C4semidirect
74. C3×C5×C4⋊C4C2×C4semidirect
75. C3×C5×C22⋊C4C2×C4semidirect
76. C3×C5×C22⋊C4C2×C4semidirect
103. C5×#123C3×C4semidirect
169. C3×#123Dic5semidirect
197. C22×C4×C5C2×C3×C4semidirect
213. C5×C4⋊C4C2×C3×C4semidirect
214. C5×C22⋊C4C2×C3×C4semidirect
215. C5×C22⋊C4C2×C3×C4semidirect
280. C22×C3×C4C2×Dic5semidirect
288. C3×C4⋊C4C2×Dic5semidirect
293. C3×C22⋊C4C2×Dic5semidirect
294. C3×C22⋊C4C2×Dic5semidirect
341. #123C3×Dic5semidirect
451. C22×C4C2×C3×Dic5semidirect
459. C4⋊C4C2×C3×Dic5semidirect
464. C22⋊C4C2×C3×Dic5semidirect
465. C22⋊C4C2×C3×Dic5semidirect
468. C3×C5#2322semidirect
546. C5C3×#2322semidirect
571. C3#10614567direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1232
C2×C3×D4×Dic52
C22×C3×C4⋊Dic52
C3×#655092
C3×#655002
C3×#652742
C3×#652702
C3×#652402
C3×#652392
C3×C22⋊C4×Dic52
#106145673
C3×#23225