Finite Group Databasebeta

← C3×#10614065 #14327104

Subgroups — C3×#10614065 #14327104

Order 1920.

1408 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×C3×D4×Dic5C211yesmaximal, characteristic
3C2×C3×D4×Dic5C211yesmaximal, characteristic
4C3×#65499C212yesmaximal, complemented
5C2×C3×#3963C212yesmaximal, complemented
6C3×#65266C211yesmaximal, characteristic, complemented
7C3×#65262C211yesmaximal, characteristic, complemented
8C3×#65235C212yesmaximal, complemented
9C3×#65231C212yesmaximal, complemented
10C3×C4×#683C211yesmaximal, characteristic, complemented
11C3×#65217C211yesmaximal, characteristic, complemented
12#10614065C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2212yes—
15C23×C3×Dic5C2212yes—
16C23×C3×Dic5C2212yes—
17C3×C4×C5×D4—24no—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2212yes—
20C2×C3×C42×C5C2211yescharacteristic
21C2×C3×C22⋊Dic5C2212yes—
22C2×C3×C22⋊Dic5C2212yes—
23C3×D4×Dic5—24no—
24C3×D4×Dic5C418yescomplemented
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×C3×#683C2211yescharacteristic
28C2×C3×#683C2211yescharacteristic
29C2×C3×#683C2212yes—
30C2×C3×#683C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×C3×C4×Dic5C2211yescharacteristic
33C3×#3963C2212yes—
34C3×#3963C2211yescharacteristic
35C3×#3963C2211yescharacteristic
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2349—51nomaximal, Hall
40C2×C4×C5×D4C2×C311yescharacteristic
41C2×D4×Dic5C2×C311yescharacteristic
42C2×D4×Dic5C2×C311yescharacteristic
43#65499C2×C312yescomplemented
44C2×#3963C2×C312yescomplemented
45#65266C2×C311yescharacteristic, complemented
46#65262C2×C311yescharacteristic, complemented
47#65235C2×C312yescomplemented
48#65231C2×C312yescomplemented
49C4×#683C2×C311yescharacteristic, complemented
50#65217C2×C311yescharacteristic, complemented
51C24×C3×C5C2312yes—
52C2×C3×C5×D4C2×C414yes—
53C2×C3×C5×D4D414yes—
54C2×C3×C5×D4Q814yes—
55C22×C3×C4×C5—24no—
56C22×C3×C4×C5—24no—
57C22×C3×C4×C5—42no—
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×Dic5—24no—
63C22×C3×Dic5—24no—
64C22×C3×Dic5—42no—
65C22×C3×Dic5—42no—
66C22×C3×Dic5—42no—
67C22×C3×Dic5C2×C418yescomplemented
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2311yescharacteristic
73C22×C3×Dic5C2311yescharacteristic
74C3×C5×C4⋊C4—22no—
75C3×C5×C22⋊C4—24no—
76C3×C42×C5—22no—
77C3×C22⋊Dic5—24no—
78C3×C22⋊Dic5C2×C418yescomplemented
79C3×C4⋊Dic5—22no—
80C3×C4⋊Dic5C2×C414yescomplemented
81C3×#683—22no—
82C3×#683—22no—
83C3×#683—42no—
84C3×#683—42no—
85C3×C4×Dic5—22no—
86C3×C4×Dic5C2×C414yescomplemented
87C2×C3×C4×D4—51no—
88C2×C3×C4×D4—51no—
89C2×C3×C4×D4D511yescharacteristic
90C3×#389—51no—
91C3×#389—51no—
92C3×#385—52no—
93C3×#385—52no—
94C3×#382—51no—
95C3×#380—52no—
96C3×C4×C4⋊C4—51no—
97C2×C3×#95—52no—
98C22×C5×D4C22×C311yescharacteristic
99C23×C4×C5C22×C312yes—
100C23×Dic5C22×C312yes—
101C23×Dic5C22×C312yes—
102C4×C5×D4—24no—
103C2×C5×C4⋊C4C22×C311yescharacteristic
104C2×C5×C22⋊C4C22×C312yes—
105C2×C42×C5C22×C311yescharacteristic
106C2×C22⋊Dic5C22×C312yes—
107C2×C22⋊Dic5C22×C312yes—
108D4×Dic5—24no—
109D4×Dic5C3×C418yescomplemented
110C2×C4⋊Dic5C22×C311yescharacteristic
111C2×C4⋊Dic5C22×C311yescharacteristic
112C2×#683C22×C311yescharacteristic
113C2×#683C22×C311yescharacteristic
114C2×#683C22×C312yes—
115C2×#683C22×C312yes—
116C2×C4×Dic5C22×C311yescharacteristic
117C2×C4×Dic5C22×C311yescharacteristic
118#3963C22×C312yes—
119#3963C22×C311yescharacteristic
120#3963C22×C311yescharacteristic
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C312yes—
124#2349—51noSylow
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—22no—
129C23×C3×C5C22×C414yes—
130C23×C3×C5C2×D414yes—
131C23×C3×C5C2×Q814yes—
132C23×C3×C5C2411yescharacteristic
133C3×C5×D4C4⋊C4116yescomplemented
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—48no—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×Q812yes—
146C2×C3×C4×C5#4112yes—
147C2×C3×Dic5—21no—
148C2×C3×Dic5—21no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—22no—
152C2×C3×Dic5—21no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—21no—
155C2×C3×Dic5—21no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—21no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—21no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5—48no—
162C2×C3×Dic5—48no—
163C2×C3×Dic5C22×C412yes—
164C2×C3×Dic5C22×C412yes—
165C2×C3×Dic5C22×C414yes—
166C2×C3×Dic5#4112yes—
167C22×C3×D4C2×D511yescharacteristic
168C23×C3×C4—52no—
169C23×C3×C4—52no—
170C23×C3×C4C2×D512yes—
171C3×C4×D4—24no—
172C3×C4×D4—58no—
173C3×C4×D4—104no—
174C2×C3×C4⋊C4—51no—
175C2×C3×C4⋊C4—51no—
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4—51no—
178C2×C3×C4⋊C4—52no—
179C2×C3×C4⋊C4—52no—
180C2×C3×C4⋊C4C2×D511yescharacteristic
181C2×C3×C22⋊C4—52no—
182C2×C3×C22⋊C4—52no—
183C2×C3×C22⋊C4C2×D512yes—
184C2×C3×C42—51no—
185C2×C3×C42—51no—
186C2×C3×C42C2×D511yescharacteristic
187C3×#95—51no—
188C3×#95—52no—
189C3×#95—52no—
190C3×#95—52no—
191C3×#95—51no—
192C3×#95—52no—
193C24×C5C23×C312yes—
194C2×C5×D4C2×C3×C414yes—
195C2×C5×D4C3×D414yes—
196C2×C5×D4C3×Q814yes—
197C22×C4×C5—24no—
198C22×C4×C5—24no—
199C22×C4×C5—42no—
200C22×C4×C5C23×C311yescharacteristic
201C22×C4×C5C23×C312yes—
202C22×C4×C5C23×C311yescharacteristic
203C22×C4×C5C23×C311yescharacteristic
204C22×Dic5—24no—
205C22×Dic5—24no—
206C22×Dic5—42no—
207C22×Dic5—42no—
208C22×Dic5—42no—
209C22×Dic5C2×C3×C418yescomplemented
210C22×Dic5C23×C311yescharacteristic
211C22×Dic5C23×C312yes—
212C22×Dic5C23×C311yescharacteristic
213C22×Dic5C23×C312yes—
214C22×Dic5C23×C311yescharacteristic
215C22×Dic5C23×C311yescharacteristic
216C5×C4⋊C4—22no—
217C5×C22⋊C4—24no—
218C42×C5—22no—
219C22⋊Dic5—24no—
220C22⋊Dic5C2×C3×C418yescomplemented
221C4⋊Dic5—22no—
222C4⋊Dic5C2×C3×C414yescomplemented
223#683—22no—
224#683—22no—
225#683—42no—
226#683—42no—
227C4×Dic5—22no—
228C4×Dic5C2×C3×C414yescomplemented
229C2×C4×D4—51no—
230C2×C4×D4—51no—
231C2×C4×D4C3×D511yescharacteristic
232#389—51no—
233#389—51no—
234#385—52no—
235#385—52no—
236#382—51no—
237#380—52no—
238C4×C4⋊C4—51no—
239C2×#95—52no—
240C22×C3×C5—24no—
241C22×C3×C5—24no—
242C22×C3×C5—24no—
243C22×C3×C5—24no—
244C22×C3×C5—24no—
245C22×C3×C5—24no—
246C22×C3×C5C2×C4⋊C418yes—
247C22×C3×C5C23×C411yescharacteristic
248C22×C3×C5C22×D411yescharacteristic
249C22×C3×C5C22×Q811yescharacteristic
250C22×C3×C5C2×#4111yescharacteristic
251C22×C3×C5C2×#4111yescharacteristic
252C22×C3×C5H(5,𝔽2)11yescharacteristic
253C22×C3×C5H(5,𝔽2)11yescharacteristic
254C3×C4×C5—22no—
255C3×C4×C5—41no—
256C3×C4×C5—42no—
257C3×C4×C5C2×C4⋊C414yes—
258C3×Dic5—22no—
259C3×Dic5—22no—
260C3×Dic5—24no—
261C3×Dic5—22no—
262C3×Dic5—41no—
263C3×Dic5—42no—
264C24×C3C22×D512yes—
265C2×C3×D4Dic1014yes—
266C2×C3×D4C4×D514yes—
267C2×C3×D4C22⋊D514yes—
268C22×C3×C4—24no—
269C22×C3×C4—24no—
270C22×C3×C4—42no—
271C22×C3×C4—51no—
272C22×C3×C4—51no—
273C22×C3×C4—51no—
274C22×C3×C4—52no—
275C22×C3×C4—58no—
276C22×C3×C4—52no—
277C22×C3×C4—51no—
278C22×C3×C4—104no—
279C22×C3×C4—104no—
280C22×C3×C4—202no—
281C22×C3×C4—202no—
282C22×C3×C4—202no—
283C22×C3×C4C22×D512yes—
284C22×C3×C4C22×D511yescharacteristic
285C22×C3×C4C22×D511yescharacteristic
286C22×C3×C4C22×D511yescharacteristic
287C3×C4⋊C4—22no—
288C3×C4⋊C4—54no—
289C3×C4⋊C4—102no—
290C3×C4⋊C4—102no—
291C3×C4⋊C4—102no—
292C3×C4⋊C4—202no—
293C3×C4⋊C4—202no—
294C3×C22⋊C4—24no—
295C3×C22⋊C4—58no—
296C3×C22⋊C4—104no—
297C3×C42—22no—
298C3×C42—54no—
299C3×C42—102no—
300C23×C5—22no—
301C23×C5—22no—
302C23×C5—22no—
303C23×C5—22no—
304C23×C5C22×C3×C414yes—
305C23×C5C2×C3×D414yes—
306C23×C5C2×C3×Q814yes—
307C23×C5C24×C311yescharacteristic
308C5×D4C3×C4⋊C4116yescomplemented
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
313C2×C4×C5—21no—
314C2×C4×C5—22no—
315C2×C4×C5—21no—
316C2×C4×C5—22no—
317C2×C4×C5—48no—
318C2×C4×C5C22×C3×C412yes—
319C2×C4×C5C2×C3×D412yes—
320C2×C4×C5C2×C3×Q812yes—
321C2×C4×C5C3×#4112yes—
322C2×Dic5—21no—
323C2×Dic5—21no—
324C2×Dic5—21no—
325C2×Dic5—22no—
326C2×Dic5—22no—
327C2×Dic5—21no—
328C2×Dic5—21no—
329C2×Dic5—21no—
330C2×Dic5—21no—
331C2×Dic5—22no—
332C2×Dic5—21no—
333C2×Dic5—22no—
334C2×Dic5—21no—
335C2×Dic5—22no—
336C2×Dic5—48no—
337C2×Dic5—48no—
338C2×Dic5C22×C3×C412yes—
339C2×Dic5C22×C3×C412yes—
340C2×Dic5C22×C3×C414yes—
341C2×Dic5C3×#4112yes—
342C22×D4C2×C3×D511yescharacteristic
343C23×C4—52no—
344C23×C4—52no—
345C23×C4C2×C3×D512yes—
346C4×D4—24no—
347C4×D4—58no—
348C4×D4—104no—
349C2×C4⋊C4—51no—
350C2×C4⋊C4—51no—
351C2×C4⋊C4—51no—
352C2×C4⋊C4—51no—
353C2×C4⋊C4—52no—
354C2×C4⋊C4—52no—
355C2×C4⋊C4C2×C3×D511yescharacteristic
356C2×C22⋊C4—52no—
357C2×C22⋊C4—52no—
358C2×C22⋊C4C2×C3×D512yes—
359C2×C42—51no—
360C2×C42—51no—
361C2×C42C2×C3×D511yescharacteristic
362#95—51no—
363#95—52no—
364#95—52no—
365#95—52no—
366#95—51no—
367#95—52no—
368C2×C3×C5—28no—
369C2×C3×C5C22×C4⋊C411yescharacteristic
370C2×C3×C5C4×#4111yescharacteristic
371C2×C3×C5#51811yescharacteristic
372C2×C3×C5#54611yescharacteristic
373C2×C3×C5#54611yescharacteristic
374C2×C3×C5#55411yescharacteristic
375C2×C3×C5#55411yescharacteristic
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3C2×Dic1014yes—
381C23×C3C2×C4×D514yes—
382C23×C3C2×C22⋊D514yes—
383C23×C3C23×D511yescharacteristic
384C3×D4#683116yescomplemented
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—48no—
394C2×C3×C4—52no—
395C2×C3×C4—52no—
396C2×C3×C4—54no—
397C2×C3×C4—52no—
398C2×C3×C4—101no—
399C2×C3×C4—102no—
400C2×C3×C4—101no—
401C2×C3×C4—101no—
402C2×C3×C4—102no—
403C2×C3×C4—101no—
404C2×C3×C4—101no—
405C2×C3×C4—101no—
406C2×C3×C4—101no—
407C2×C3×C4—101no—
408C2×C3×C4—102no—
409C2×C3×C4—102no—
410C2×C3×C4—101no—
411C2×C3×C4—102no—
412C2×C3×C4—208no—
413C2×C3×C4—208no—
414C2×C3×C4C2×Dic1012yes—
415C2×C3×C4C2×C4×D512yes—
416C2×C3×C4#71112yes—
417C2×C3×C4C2×C22⋊D512yes—
418C22×C5—24no—
419C22×C5—24no—
420C22×C5—24no—
421C22×C5—24no—
422C22×C5—24no—
423C22×C5—24no—
424C22×C5C2×C3×C4⋊C418yes—
425C22×C5C23×C3×C411yescharacteristic
426C22×C5C22×C3×D411yescharacteristic
427C22×C5C22×C3×Q811yescharacteristic
428C22×C5C2×C3×#4111yescharacteristic
429C22×C5C2×C3×#4111yescharacteristic
430C22×C5C3×H(5,𝔽2)11yescharacteristic
431C22×C5C3×H(5,𝔽2)11yescharacteristic
432C4×C5—22no—
433C4×C5—41no—
434C4×C5—42no—
435C4×C5C2×C3×C4⋊C414yes—
436Dic5—22no—
437Dic5—22no—
438Dic5—24no—
439Dic5—22no—
440Dic5—41no—
441Dic5—42no—
442C24C22×C3×D512yes—
443C2×D4C3×Dic1014yes—
444C2×D4C3×C4×D514yes—
445C2×D4C3×C22⋊D514yes—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—42no—
449C22×C4—51no—
450C22×C4—51no—
451C22×C4—51no—
452C22×C4—52no—
453C22×C4—58no—
454C22×C4—52no—
455C22×C4—51no—
456C22×C4—104no—
457C22×C4—104no—
458C22×C4—202no—
459C22×C4—202no—
460C22×C4—202no—
461C22×C4C22×C3×D512yes—
462C22×C4C22×C3×D511yescharacteristic
463C22×C4C22×C3×D511yescharacteristic
464C22×C4C22×C3×D511yescharacteristic
465C4⋊C4—22no—
466C4⋊C4—54no—
467C4⋊C4—102no—
468C4⋊C4—102no—
469C4⋊C4—102no—
470C4⋊C4—202no—
471C4⋊C4—202no—
472C22⋊C4—24no—
473C22⋊C4—58no—
474C22⋊C4—104no—
475C42—22no—
476C42—54no—
477C42—102no—
478C3×C5#234911yescharacteristic, complemented, Hall
479C22×C3—24no—
480C22×C3—24no—
481C22×C3—24no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3C2×#68318yes—
486C22×C3C22×Dic1011yescharacteristic
487C22×C3C22×C4×D511yescharacteristic
488C22×C3C2×#71111yescharacteristic
489C22×C3#414411yescharacteristic
490C22×C3D5×#4111yescharacteristic
491C22×C3#414911yescharacteristic
492C22×C3C22×C22⋊D511yescharacteristic
493C3×C4—22no—
494C3×C4—42no—
495C3×C4—41no—
496C3×C4—102no—
497C3×C4—104no—
498C3×C4—102no—
499C3×C4—102no—
500C3×C4—201no—
501C3×C4—202no—
502C3×C4C2×#68314yes—
503C2×C5—28no—
504C2×C5C22×C3×C4⋊C411yescharacteristic
505C2×C5C3×C4×#4111yescharacteristic
506C2×C5C3×#51811yescharacteristic
507C2×C5C3×#54611yescharacteristic
508C2×C5C3×#54611yescharacteristic
509C2×C5C3×#55411yescharacteristic
510C2×C5C3×#55411yescharacteristic
511C23—22no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23C2×C3×Dic1014yes—
516C23C2×C3×C4×D514yes—
517C23C2×C3×C22⋊D514yes—
518C23C23×C3×D511yescharacteristic
519D4C3×#683116yescomplemented
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—22no—
528C2×C4—48no—
529C2×C4—52no—
530C2×C4—52no—
531C2×C4—54no—
532C2×C4—52no—
533C2×C4—101no—
534C2×C4—102no—
535C2×C4—101no—
536C2×C4—101no—
537C2×C4—102no—
538C2×C4—101no—
539C2×C4—101no—
540C2×C4—101no—
541C2×C4—101no—
542C2×C4—101no—
543C2×C4—102no—
544C2×C4—102no—
545C2×C4—101no—
546C2×C4—102no—
547C2×C4—208no—
548C2×C4—208no—
549C2×C4C2×C3×Dic1012yes—
550C2×C4C2×C3×C4×D512yes—
551C2×C4C3×#71112yes—
552C2×C4C2×C3×C22⋊D512yes—
553C2×C3—28no—
554C2×C3C4×#71111yescharacteristic
555C2×C3#6587311yescharacteristic
556C2×C3#6587711yescharacteristic
557C2×C3#6587911yescharacteristic
558C2×C3C22×#68311yescharacteristic
559C2×C3#6614011yescharacteristic
560C2×C3#6616311yescharacteristic
561C5C3×#234911yescharacteristic, complemented, Sylow
562C22—24no—
563C22—24no—
564C22—24no—
565C22—24no—
566C22—24no—
567C22—24no—
568C22C2×C3×#68318yes—
569C22C22×C3×Dic1011yescharacteristic
570C22C22×C3×C4×D511yescharacteristic
571C22C2×C3×#71111yescharacteristic
572C22C3×#414411yescharacteristic
573C22C3×D5×#4111yescharacteristic
574C22C3×#414911yescharacteristic
575C22C22×C3×C22⋊D511yescharacteristic
576C4—22no—
577C4—42no—
578C4—41no—
579C4—102no—
580C4—102no—
581C4—104no—
582C4—102no—
583C4—201no—
584C4—202no—
585C4C2×C3×#68314yes—
586C3#1061406511yescharacteristic, direct product factor, Sylow
587C2—28no—
588C2C3×C4×#71111yescharacteristic
589C2C3×#6587311yescharacteristic
590C2C3×#6587711yescharacteristic
591C2C3×#6587911yescharacteristic
592C2C22×C3×#68311yescharacteristic
593C2C3×#6614011yescharacteristic
594C2C3×#6616311yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC2×C3×C4×C5×D4C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C5C24×C3
hypercenterC2×C3×C4×D4D5
hypocenterC5C3×#2349
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
4. C3×#65499C2semidirect
5. C2×C3×#3963C2semidirect
6. C3×#65266C2semidirect
7. C3×#65262C2semidirect
8. C3×#65235C2semidirect
9. C3×#65231C2semidirect
10. C3×C4×#683C2semidirect
11. C3×#65217C2semidirect
12. #10614065C3direct (N × H)
24. C3×D4×Dic5C4semidirect
43. #65499C2×C3semidirect
44. C2×#3963C2×C3semidirect
45. #65266C2×C3semidirect
46. #65262C2×C3semidirect
47. #65235C2×C3semidirect
48. #65231C2×C3semidirect
49. C4×#683C2×C3semidirect
50. #65217C2×C3semidirect
67. C22×C3×Dic5C2×C4semidirect
78. C3×C22⋊Dic5C2×C4semidirect
80. C3×C4⋊Dic5C2×C4semidirect
86. C3×C4×Dic5C2×C4semidirect
109. D4×Dic5C3×C4semidirect
133. C3×C5×D4C4⋊C4semidirect
209. C22×Dic5C2×C3×C4semidirect
220. C22⋊Dic5C2×C3×C4semidirect
222. C4⋊Dic5C2×C3×C4semidirect
228. C4×Dic5C2×C3×C4semidirect
308. C5×D4C3×C4⋊C4semidirect
384. C3×D4#683semidirect
478. C3×C5#2349semidirect
519. D4C3×#683semidirect
561. C5C3×#2349semidirect
586. C3#10614065direct (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×D4×Dic52
C3×#654992
C2×C3×#39632
C3×#652662
C3×#652622
C3×#652352
C3×#652312
C3×C4×#6832
C3×#652172
#106140653
C3×#23495