Finite Group Databasebeta

← C3×#10605481 #14319661

Subgroups — C3×#10605481 #14319661

Order 1920.

1392 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×#4038C211yesmaximal, characteristic
2C2×C3×D5×C4⋊C4C211yesmaximal, characteristic
3C2×C3×#4018C211yesmaximal, characteristic
4C3×C4×C5×C4⋊C4C211yesmaximal, characteristic, complemented
5C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
6C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
7C3×C4×#685C212yesmaximal
8C3×C4×C4⋊Dic5C211yesmaximal, characteristic, complemented
9C3×C4×#683C212yesmaximal, complemented
10C3×#64955C212yesmaximal
11C3×#64938C212yesmaximal, complemented
12#10605481C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C4×D5C2212yes—
14C22×C3×C4×D5C2211yescharacteristic
15C2×C3×C5×C4⋊C4C2211yescharacteristic
16C2×C3×C5×C4⋊C4C2211yescharacteristic
17C2×C3×C42×C5C2212yes—
18C2×C3×C42×C5C2211yescharacteristic
19C2×C3×#685C2211yescharacteristic
20C2×C3×#685C2212yes—
21C2×C3×#685C2211yescharacteristic
22C2×C3×C4⋊Dic5C2211yescharacteristic
23C2×C3×C4⋊Dic5C2211yescharacteristic
24C2×C3×#683C2212yes—
25C2×C3×#683C2211yescharacteristic
26C2×C3×#683C2211yescharacteristic
27C2×C3×C4×Dic5C2212yes—
28C2×C3×C4×Dic5C2212yes—
29C2×C3×C4×Dic5C2212yes—
30C2×C3×C4×Dic5C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C3×#4038C418yescomplemented
33C3×D5×C4⋊C4C418yescomplemented
34C3×#4018C418yescomplemented
35C3×C5×#95C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2274—51nomaximal, Hall
40C2×#4038C2×C311yescharacteristic
41C2×D5×C4⋊C4C2×C311yescharacteristic
42C2×#4018C2×C311yescharacteristic
43C4×C5×C4⋊C4C2×C311yescharacteristic, complemented
44C4⋊C4×Dic5C2×C311yescharacteristic, complemented
45C4⋊C4×Dic5C2×C311yescharacteristic, complemented
46C4×#685C2×C312yes—
47C4×C4⋊Dic5C2×C311yescharacteristic, complemented
48C4×#683C2×C312yescomplemented
49#64955C2×C312yes—
50#64938C2×C312yescomplemented
51C23×C3×D5C2311yescharacteristic
52C22×C3×C4×C5C2311yescharacteristic
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×Dic5C2312yes—
58C22×C3×Dic5C2311yescharacteristic
59C22×C3×Dic5C2311yescharacteristic
60C22×C3×Dic5C2312yes—
61C22×C3×Dic5C2311yescharacteristic
62C2×C3×C4×D5—42no—
63C2×C3×C4×D5—42no—
64C2×C3×C4×D5C2×C418yes—
65C2×C3×C4×D5C2×C414yes—
66C2×C3×C4×D5C2×C414yes—
67C2×C3×C4×D5C2×C414yes—
68C3×C5×C4⋊C4C2×C414yes—
69C3×C5×C4⋊C4C2×C414yescomplemented
70C3×C42×C5—42no—
71C3×C42×C5C2×C414yescomplemented
72C3×#685C2×C414yes—
73C3×#685C2×C414yes—
74C3×#685C2×C418yes—
75C3×C4⋊Dic5C2×C414yes—
76C3×C4⋊Dic5C2×C414yescomplemented
77C3×#683C2×C418yes—
78C3×#683C2×C414yescomplemented
79C3×#683C2×C414yescomplemented
80C3×C4×Dic5—42no—
81C3×C4×Dic5—42no—
82C3×C4×Dic5—42no—
83C3×C4×Dic5C2×C414yescomplemented
84C3×C4×Dic5C2×C418yescomplemented
85C2×C3×#117—51no—
86C2×C3×#117—51no—
87C22×C3×C4⋊C4—51no—
88C3×C4×C4⋊C4—51no—
89C3×C4×C4⋊C4—51no—
90C3×C4×C4⋊C4—52no—
91C3×C4×C4⋊C4—51no—
92C3×C4×C4⋊C4—52no—
93C3×C4×C4⋊C4D511yescharacteristic, complemented
94C3×C4×C22⋊C4—52no—
95C3×C4×C22⋊C4—52no—
96C22×C4×D5C22×C312yes—
97C22×C4×D5C22×C311yescharacteristic
98C2×C5×C4⋊C4C22×C311yescharacteristic
99C2×C5×C4⋊C4C22×C311yescharacteristic
100C2×C42×C5C22×C312yes—
101C2×C42×C5C22×C311yescharacteristic
102C2×#685C22×C311yescharacteristic
103C2×#685C22×C311yescharacteristic
104C2×#685C22×C312yes—
105C2×C4⋊Dic5C22×C311yescharacteristic
106C2×C4⋊Dic5C22×C311yescharacteristic
107C2×#683C22×C312yes—
108C2×#683C22×C311yescharacteristic
109C2×#683C22×C311yescharacteristic
110C2×C4×Dic5C22×C312yes—
111C2×C4×Dic5C22×C312yes—
112C2×C4×Dic5C22×C312yes—
113C2×C4×Dic5C22×C311yescharacteristic
114C2×C4×Dic5C22×C312yes—
115#4038C3×C418yescomplemented
116D5×C4⋊C4C3×C418yescomplemented
117#4018C3×C418yescomplemented
118C5×#95C22×C312yes—
119#3963C22×C312yes—
120#3963C22×C312yes—
121#3963C22×C312yes—
122#2274—51noSylow
123C23×C3×C5C2411yescharacteristic
124C22×C3×D5—21no—
125C22×C3×D5—21no—
126C22×C3×D5—21no—
127C22×C3×D5—21no—
128C22×C3×D5C22×C412yes—
129C22×C3×D5C22×C412yes—
130C22×C3×D5C22×C412yes—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5C22×C414yes—
140C2×C3×C4×C5C22×C414yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C412yes—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C22×C412yes—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×Dic5—21no—
147C2×C3×Dic5—21no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—22no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—21no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5C22×C412yes—
155C2×C3×Dic5C22×C412yes—
156C2×C3×Dic5C22×C414yes—
157C2×C3×Dic5C22×C414yes—
158C2×C3×Dic5C22×C412yes—
159C2×C3×Dic5C22×C412yes—
160C2×C3×Dic5C22×C412yes—
161C3×C4×D5—48no—
162C3×C4×D5C42116yescomplemented
163C23×C3×C4—51no—
164C23×C3×C4—52no—
165C3×#117—58no—
166C3×#117—58no—
167C2×C3×C4⋊C4—52no—
168C2×C3×C4⋊C4—51no—
169C2×C3×C4⋊C4—51no—
170C2×C3×C4⋊C4—51no—
171C2×C3×C4⋊C4—51no—
172C2×C3×C4⋊C4—58no—
173C2×C3×C4⋊C4C2×D511yescharacteristic
174C2×C3×C4⋊C4C2×D511yescharacteristic
175C2×C3×C22⋊C4—51no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4—51no—
178C2×C3×C42—52no—
179C2×C3×C42—51no—
180C2×C3×C42—52no—
181C2×C3×C42—52no—
182C2×C3×C42—52no—
183C2×C3×C42C2×D512yes—
184C2×C3×C42C2×D511yescharacteristic
185C3×#95—52no—
186C3×#95—52no—
187C3×#95—52no—
188C3×#95C2×D512yes—
189C23×D5C23×C311yescharacteristic
190C22×C4×C5C23×C311yescharacteristic
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C312yes—
193C22×C4×C5C23×C311yescharacteristic
194C22×C4×C5C23×C311yescharacteristic
195C22×Dic5C23×C312yes—
196C22×Dic5C23×C311yescharacteristic
197C22×Dic5C23×C311yescharacteristic
198C22×Dic5C23×C312yes—
199C22×Dic5C23×C311yescharacteristic
200C2×C4×D5—42no—
201C2×C4×D5—42no—
202C2×C4×D5C2×C3×C418yes—
203C2×C4×D5C2×C3×C414yes—
204C2×C4×D5C2×C3×C414yes—
205C2×C4×D5C2×C3×C414yes—
206C5×C4⋊C4C2×C3×C414yes—
207C5×C4⋊C4C2×C3×C414yescomplemented
208C42×C5—42no—
209C42×C5C2×C3×C414yescomplemented
210#685C2×C3×C414yes—
211#685C2×C3×C414yes—
212#685C2×C3×C418yes—
213C4⋊Dic5C2×C3×C414yes—
214C4⋊Dic5C2×C3×C414yescomplemented
215#683C2×C3×C418yes—
216#683C2×C3×C414yescomplemented
217#683C2×C3×C414yescomplemented
218C4×Dic5—42no—
219C4×Dic5—42no—
220C4×Dic5—42no—
221C4×Dic5C2×C3×C414yescomplemented
222C4×Dic5C2×C3×C418yescomplemented
223C2×#117—51no—
224C2×#117—51no—
225C22×C4⋊C4—51no—
226C4×C4⋊C4—51no—
227C4×C4⋊C4—51no—
228C4×C4⋊C4—52no—
229C4×C4⋊C4—51no—
230C4×C4⋊C4—52no—
231C4×C4⋊C4C3×D511yescharacteristic, complemented
232C4×C22⋊C4—52no—
233C4×C22⋊C4—52no—
234C22×C3×C5C23×C411yescharacteristic
235C22×C3×C5C23×C411yescharacteristic
236C22×C3×C5C23×C411yescharacteristic
237C22×C3×C5H(5,𝔽2)11yescharacteristic
238C22×C3×C5H(5,𝔽2)11yescharacteristic
239C22×C3×C52−1+411yescharacteristic
240C22×C3×C52−1+411yescharacteristic
241C2×C3×D5—22no—
242C2×C3×D5—22no—
243C2×C3×D5—22no—
244C2×C3×D5—22no—
245C2×C3×D5—22no—
246C2×C3×D5—22no—
247C2×C3×D5C2×C4214yes—
248C3×C4×C5—24no—
249C3×C4×C5—22no—
250C3×C4×C5—22no—
251C3×C4×C5—24no—
252C3×C4×C5C2×C4214yes—
253C3×Dic5—24no—
254C3×Dic5—22no—
255C3×Dic5—22no—
256C3×Dic5—24no—
257C3×Dic5C2×C4214yes—
258C24×C3—51no—
259C22×C3×C4—51no—
260C22×C3×C4—54no—
261C22×C3×C4—54no—
262C22×C3×C4—54no—
263C22×C3×C4—51no—
264C22×C3×C4—52no—
265C22×C3×C4—51no—
266C22×C3×C4—52no—
267C22×C3×C4—58no—
268C22×C3×C4—202no—
269C22×C3×C4—202no—
270C22×C3×C4C22×D511yescharacteristic
271C22×C3×C4C22×D512yes—
272C22×C3×C4C22×D512yes—
273C22×C3×C4C22×D511yescharacteristic
274C22×C3×C4C22×D511yescharacteristic
275C3×C4⋊C4—58no—
276C3×C4⋊C4—54no—
277C3×C4⋊C4—54no—
278C3×C4⋊C4—54no—
279C3×C4⋊C4—54no—
280C3×C4⋊C4C4×D514yes—
281C3×C4⋊C4C4×D514yescomplemented
282C3×C22⋊C4—58no—
283C3×C22⋊C4—54no—
284C3×C22⋊C4—54no—
285C3×C42—42no—
286C3×C42—58no—
287C3×C42—54no—
288C3×C42—202no—
289C3×C42—202no—
290C3×C42—202no—
291C3×C42C4×D514yescomplemented
292C23×C5C24×C311yescharacteristic
293C22×D5—21no—
294C22×D5—21no—
295C22×D5—21no—
296C22×D5—21no—
297C22×D5C22×C3×C412yes—
298C22×D5C22×C3×C412yes—
299C22×D5C22×C3×C412yes—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—22no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5C22×C3×C414yes—
309C2×C4×C5C22×C3×C414yes—
310C2×C4×C5C22×C3×C412yes—
311C2×C4×C5C22×C3×C412yes—
312C2×C4×C5C22×C3×C412yes—
313C2×C4×C5C22×C3×C412yes—
314C2×C4×C5C22×C3×C412yes—
315C2×Dic5—21no—
316C2×Dic5—21no—
317C2×Dic5—22no—
318C2×Dic5—22no—
319C2×Dic5—22no—
320C2×Dic5—21no—
321C2×Dic5—22no—
322C2×Dic5—21no—
323C2×Dic5C22×C3×C412yes—
324C2×Dic5C22×C3×C412yes—
325C2×Dic5C22×C3×C414yes—
326C2×Dic5C22×C3×C414yes—
327C2×Dic5C22×C3×C412yes—
328C2×Dic5C22×C3×C412yes—
329C2×Dic5C22×C3×C412yes—
330C4×D5—48no—
331C4×D5C3×C42116yescomplemented
332C23×C4—51no—
333C23×C4—52no—
334#117—58no—
335#117—58no—
336C2×C4⋊C4—52no—
337C2×C4⋊C4—51no—
338C2×C4⋊C4—51no—
339C2×C4⋊C4—51no—
340C2×C4⋊C4—51no—
341C2×C4⋊C4—58no—
342C2×C4⋊C4C2×C3×D511yescharacteristic
343C2×C4⋊C4C2×C3×D511yescharacteristic
344C2×C22⋊C4—51no—
345C2×C22⋊C4—52no—
346C2×C22⋊C4—51no—
347C2×C42—52no—
348C2×C42—51no—
349C2×C42—52no—
350C2×C42—52no—
351C2×C42—52no—
352C2×C42C2×C3×D512yes—
353C2×C42C2×C3×D511yescharacteristic
354#95—52no—
355#95—52no—
356#95—52no—
357#95C2×C3×D512yes—
358C2×C3×C5C22×C4211yescharacteristic
359C2×C3×C5#51811yescharacteristic
360C2×C3×C5#51911yescharacteristic
361C2×C3×C5#52011yescharacteristic
362C2×C3×C5#52011yescharacteristic
363C2×C3×C5#52011yescharacteristic
364C2×C3×C5#52011yescharacteristic
365C3×D5—24no—
366C23×C3—52no—
367C23×C3—52no—
368C23×C3—52no—
369C23×C3—101no—
370C23×C3—101no—
371C23×C3—101no—
372C23×C3—101no—
373C23×C3C23×D511yescharacteristic
374C2×C3×C4—21no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—22no—
382C2×C3×C4—52no—
383C2×C3×C4—52no—
384C2×C3×C4—52no—
385C2×C3×C4—516no—
386C2×C3×C4—52no—
387C2×C3×C4—52no—
388C2×C3×C4—54no—
389C2×C3×C4—54no—
390C2×C3×C4—101no—
391C2×C3×C4—102no—
392C2×C3×C4—101no—
393C2×C3×C4—102no—
394C2×C3×C4—101no—
395C2×C3×C4—102no—
396C2×C3×C4—102no—
397C2×C3×C4—101no—
398C2×C3×C4—208no—
399C2×C3×C4C2×C4×D514yes—
400C2×C3×C4C2×C4×D512yes—
401C2×C3×C4C2×C4×D512yes—
402C2×C3×C4C2×C4×D514yes—
403C2×C3×C4C2×C4×D512yes—
404C2×C3×C4C2×C4×D512yes—
405C2×C3×C4C2×C4×D512yes—
406C22×C5C23×C3×C411yescharacteristic
407C22×C5C23×C3×C411yescharacteristic
408C22×C5C23×C3×C411yescharacteristic
409C22×C5C3×H(5,𝔽2)11yescharacteristic
410C22×C5C3×H(5,𝔽2)11yescharacteristic
411C22×C5C3×2−1+411yescharacteristic
412C22×C5C3×2−1+411yescharacteristic
413C2×D5—22no—
414C2×D5—22no—
415C2×D5—22no—
416C2×D5—22no—
417C2×D5—22no—
418C2×D5—22no—
419C2×D5C2×C3×C4214yes—
420C4×C5—24no—
421C4×C5—22no—
422C4×C5—24no—
423C4×C5—22no—
424C4×C5C2×C3×C4214yes—
425Dic5—24no—
426Dic5—22no—
427Dic5—24no—
428Dic5—22no—
429Dic5C2×C3×C4214yes—
430C24—51no—
431C22×C4—51no—
432C22×C4—54no—
433C22×C4—54no—
434C22×C4—54no—
435C22×C4—51no—
436C22×C4—52no—
437C22×C4—51no—
438C22×C4—52no—
439C22×C4—58no—
440C22×C4—202no—
441C22×C4—202no—
442C22×C4C22×C3×D511yescharacteristic
443C22×C4C22×C3×D512yes—
444C22×C4C22×C3×D512yes—
445C22×C4C22×C3×D511yescharacteristic
446C22×C4C22×C3×D511yescharacteristic
447C4⋊C4—58no—
448C4⋊C4—54no—
449C4⋊C4—54no—
450C4⋊C4—54no—
451C4⋊C4—54no—
452C4⋊C4C3×C4×D514yes—
453C4⋊C4C3×C4×D514yescomplemented
454C22⋊C4—58no—
455C22⋊C4—54no—
456C22⋊C4—54no—
457C42—42no—
458C42—58no—
459C42—54no—
460C42—202no—
461C42—202no—
462C42—202no—
463C42C3×C4×D514yescomplemented
464C3×C5#227411yescharacteristic, complemented, Hall
465C22×C3—54no—
466C22×C3—102no—
467C22×C3—102no—
468C22×C3—102no—
469C22×C3—102no—
470C22×C3—102no—
471C22×C3—102no—
472C22×C3C22×C4×D511yescharacteristic
473C22×C3C22×C4×D511yescharacteristic
474C22×C3C22×C4×D511yescharacteristic
475C22×C3#414411yescharacteristic
476C22×C3#414711yescharacteristic
477C22×C3#414911yescharacteristic
478C22×C3#415011yescharacteristic
479C3×C4—22no—
480C3×C4—22no—
481C3×C4—24no—
482C3×C4—24no—
483C3×C4—54no—
484C3×C4—102no—
485C3×C4—102no—
486C3×C4—104no—
487C3×C4—104no—
488C3×C4C42×D514yes—
489C2×C5C22×C3×C4211yescharacteristic
490C2×C5C3×#51811yescharacteristic
491C2×C5C3×#51911yescharacteristic
492C2×C5C3×#52011yescharacteristic
493C2×C5C3×#52011yescharacteristic
494C2×C5C3×#52011yescharacteristic
495C2×C5C3×#52011yescharacteristic
496D5—24no—
497C23—52no—
498C23—52no—
499C23—52no—
500C23—101no—
501C23—101no—
502C23—101no—
503C23—101no—
504C23C23×C3×D511yescharacteristic
505C2×C4—21no—
506C2×C4—22no—
507C2×C4—22no—
508C2×C4—21no—
509C2×C4—21no—
510C2×C4—22no—
511C2×C4—21no—
512C2×C4—22no—
513C2×C4—52no—
514C2×C4—52no—
515C2×C4—52no—
516C2×C4—516no—
517C2×C4—52no—
518C2×C4—54no—
519C2×C4—52no—
520C2×C4—54no—
521C2×C4—101no—
522C2×C4—102no—
523C2×C4—102no—
524C2×C4—101no—
525C2×C4—101no—
526C2×C4—102no—
527C2×C4—102no—
528C2×C4—101no—
529C2×C4—208no—
530C2×C4C2×C3×C4×D514yes—
531C2×C4C2×C3×C4×D512yes—
532C2×C4C2×C3×C4×D512yes—
533C2×C4C2×C3×C4×D514yes—
534C2×C4C2×C3×C4×D512yes—
535C2×C4C2×C3×C4×D512yes—
536C2×C4C2×C3×C4×D512yes—
537C2×C3—104no—
538C2×C3C2×C42×D511yescharacteristic
539C2×C3#6583811yescharacteristic
540C2×C3#6585711yescharacteristic
541C2×C3#6587911yescharacteristic
542C2×C3#6588011yescharacteristic
543C2×C3#6590611yescharacteristic
544C2×C3#6590811yescharacteristic
545C5C3×#227411yescharacteristic, complemented, Sylow
546C22—54no—
547C22—102no—
548C22—102no—
549C22—102no—
550C22—102no—
551C22—102no—
552C22—102no—
553C22C22×C3×C4×D511yescharacteristic
554C22C22×C3×C4×D511yescharacteristic
555C22C22×C3×C4×D511yescharacteristic
556C22C3×#414411yescharacteristic
557C22C3×#414711yescharacteristic
558C22C3×#414911yescharacteristic
559C22C3×#415011yescharacteristic
560C4—22no—
561C4—24no—
562C4—24no—
563C4—22no—
564C4—54no—
565C4—102no—
566C4—104no—
567C4—104no—
568C4—102no—
569C4C3×C42×D514yes—
570C3#1060548111yescharacteristic, direct product factor, Sylow
571C2—104no—
572C2C2×C3×C42×D511yescharacteristic
573C2C3×#6583811yescharacteristic
574C2C3×#6585711yescharacteristic
575C2C3×#6587911yescharacteristic
576C2C3×#6588011yescharacteristic
577C2C3×#6590611yescharacteristic
578C2C3×#6590811yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC2×C5C22×C3×C42
FrattiniC23C23×C3×D5
FittingC3×C4×C5×C4⋊C4C2
socleC23×C3×C5C24
prime radicalC23×C3×D5C23
cosocleC23×C5C24×C3
hypercenterC3×C4×C4⋊C4D5
hypocenterC5C3×#2274
LCSG ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C3×C4×C5×C4⋊C4C2semidirect
5. C3×C4⋊C4×Dic5C2semidirect
6. C3×C4⋊C4×Dic5C2semidirect
8. C3×C4×C4⋊Dic5C2semidirect
9. C3×C4×#683C2semidirect
11. C3×#64938C2semidirect
12. #10605481C3direct (N × H)
32. C3×#4038C4semidirect
33. C3×D5×C4⋊C4C4semidirect
34. C3×#4018C4semidirect
43. C4×C5×C4⋊C4C2×C3semidirect
44. C4⋊C4×Dic5C2×C3semidirect
45. C4⋊C4×Dic5C2×C3semidirect
47. C4×C4⋊Dic5C2×C3semidirect
48. C4×#683C2×C3semidirect
50. #64938C2×C3semidirect
69. C3×C5×C4⋊C4C2×C4semidirect
71. C3×C42×C5C2×C4semidirect
76. C3×C4⋊Dic5C2×C4semidirect
78. C3×#683C2×C4semidirect
79. C3×#683C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. C3×C4×Dic5C2×C4semidirect
93. C3×C4×C4⋊C4D5semidirect
115. #4038C3×C4semidirect
116. D5×C4⋊C4C3×C4semidirect
117. #4018C3×C4semidirect
162. C3×C4×D5C42semidirect
207. C5×C4⋊C4C2×C3×C4semidirect
209. C42×C5C2×C3×C4semidirect
214. C4⋊Dic5C2×C3×C4semidirect
216. #683C2×C3×C4semidirect
217. #683C2×C3×C4semidirect
221. C4×Dic5C2×C3×C4semidirect
222. C4×Dic5C2×C3×C4semidirect
231. C4×C4⋊C4C3×D5semidirect
281. C3×C4⋊C4C4×D5semidirect
291. C3×C42C4×D5semidirect
331. C4×D5C3×C42semidirect
453. C4⋊C4C3×C4×D5semidirect
463. C42C3×C4×D5semidirect
464. C3×C5#2274semidirect
545. C5C3×#2274semidirect
570. C3#10605481direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40382
C2×C3×D5×C4⋊C42
C2×C3×#40182
C3×C4×C5×C4⋊C42
C3×C4⋊C4×Dic52
C3×C4×#6852
C3×C4×C4⋊Dic52
C3×C4×#6832
C3×#649552
C3×#649382
#106054813
C3×#22745