Finite Group Databasebeta

← C3×#10605167 #14319712

Subgroups — C3×#10605167 #14319712

Order 1920.

1560 conjugacy classes of subgroups.

The subgroup lattice has 568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
2C2×C3×#4027C212yesmaximal
3C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#3963C211yesmaximal, characteristic, complemented
5C3×C22⋊C4×Dic5C212yesmaximal, complemented
6C3×C4×#685C212yesmaximal, complemented
7C3×C4×#683C212yesmaximal, complemented
8C3×#64955C211yesmaximal, characteristic, complemented
9C3×D5×#95C211yesmaximal, characteristic, complemented
10C3×#64938C211yesmaximal, characteristic, complemented
11C3×#64937C211yesmaximal, characteristic, complemented
12#10605167C311yesmaximal, characteristic, direct product factor, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×C3×C22⋊D5C2211yescharacteristic
15C23×C3×Dic5C2212yes—
16C22×C3×C4×D5C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C42×C5C2212yes—
20C2×C3×C22⋊Dic5C2211yescharacteristic
21C3×C4×C22⋊D5C418yescomplemented
22C2×C3×#685C2211yescharacteristic
23C2×C3×#685C2212yes—
24C2×C3×#683C2211yescharacteristic
25C2×C3×#683C2212yes—
26C2×C3×C4×Dic5C2212yes—
27C2×C3×C4×Dic5C2212yes—
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2212yes—
30C3×#4027C4116yescomplemented
31C3×C5×#95C2211yescharacteristic
32C3×C5×#95C2211yescharacteristic
33C3×#3963C2211yescharacteristic
34C3×#3963C2212yes—
35C3×#3963C2211yescharacteristic
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#2275—51nomaximal, Hall
39C2×C4×C22⋊D5C2×C311yescharacteristic
40C2×#4027C2×C312yes—
41C4×C5×C22⋊C4C2×C311yescharacteristic, complemented
42C2×#3963C2×C311yescharacteristic, complemented
43C22⋊C4×Dic5C2×C312yescomplemented
44C4×#685C2×C312yescomplemented
45C4×#683C2×C312yescomplemented
46#64955C2×C311yescharacteristic, complemented
47D5×#95C2×C311yescharacteristic, complemented
48#64938C2×C311yescharacteristic, complemented
49#64937C2×C311yescharacteristic, complemented
50C24×C3×C5C2311yescharacteristic
51C23×C3×D5C2311yescharacteristic
52C22×C3×C4×C5—42no—
53C22×C3×C4×C5C2×C414yescomplemented
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2312yes—
57C22×C3×C4×C5C2312yes—
58C2×C3×C22⋊D5C2×C418yes—
59C2×C3×C22⋊D5C2×C414yes—
60C22×C3×Dic5—42no—
61C22×C3×Dic5—42no—
62C22×C3×Dic5C2×C418yescomplemented
63C22×C3×Dic5C2311yescharacteristic
64C22×C3×Dic5C2311yescharacteristic
65C22×C3×Dic5C2312yes—
66C22×C3×Dic5C2312yes—
67C22×C3×Dic5C2311yescharacteristic
68C2×C3×C4×D5—42no—
69C2×C3×C4×D5—42no—
70C2×C3×C4×D5—42no—
71C2×C3×C4×D5C2×C418yescomplemented
72C2×C3×C4×D5C2×C414yescomplemented
73C3×C5×C22⋊C4C2×C418yescomplemented
74C3×C42×C5—42no—
75C3×C22⋊Dic5C2×C414yescomplemented
76C3×#685C2×C418yescomplemented
77C3×#685C2×C414yescomplemented
78C3×#683C2×C418yescomplemented
79C3×#683C2×C414yescomplemented
80C3×C4×Dic5—42no—
81C3×C4×Dic5—42no—
82C3×C4×Dic5C2×C418yescomplemented
83C3×C4×Dic5C2×C414yescomplemented
84C2×C3×C4×D4—51no—
85C2×C3×C4×D4—52no—
86C3×C4×C4⋊C4—52no—
87C3×C4×C4⋊C4—51no—
88C3×C4×C22⋊C4—52no—
89C3×C4×C22⋊C4—52no—
90C3×C4×C22⋊C4—51no—
91C3×C4×C22⋊C4D511yescharacteristic, complemented
92C3×#376—51no—
93C2×C3×#95—51no—
94C2×C3×#95—51no—
95C23×C4×C5C22×C311yescharacteristic
96C22×C22⋊D5C22×C311yescharacteristic
97C23×Dic5C22×C312yes—
98C22×C4×D5C22×C312yes—
99C22×C4×D5C22×C311yescharacteristic
100C2×C5×C22⋊C4C22×C312yes—
101C2×C42×C5C22×C312yes—
102C2×C22⋊Dic5C22×C311yescharacteristic
103C4×C22⋊D5C3×C418yescomplemented
104C2×#685C22×C312yes—
105C2×#685C22×C311yescharacteristic
106C2×#683C22×C312yes—
107C2×#683C22×C311yescharacteristic
108C2×C4×Dic5C22×C312yes—
109C2×C4×Dic5C22×C312yes—
110C2×C4×Dic5C22×C312yes—
111C2×C4×Dic5C22×C311yescharacteristic
112#4027C3×C4116yescomplemented
113C5×#95C22×C311yescharacteristic
114C5×#95C22×C311yescharacteristic
115#3963C22×C311yescharacteristic
116#3963C22×C312yes—
117#3963C22×C311yescharacteristic
118#3963C22×C312yes—
119#3963C22×C312yes—
120#2275—51noSylow
121C23×C3×C5—21no—
122C23×C3×C5—22no—
123C23×C3×C5—21no—
124C23×C3×C5C22×C412yes—
125C23×C3×C5C22×C414yes—
126C23×C3×C5C2411yescharacteristic
127C22×C3×D5—22no—
128C22×C3×D5—21no—
129C22×C3×D5—21no—
130C22×C3×D5C22×C414yes—
131C22×C3×D5C22×C412yes—
132C2×C3×C4×C5—22no—
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—44no—
139C2×C3×C4×C5C22×C414yes—
140C2×C3×C4×C5C22×C412yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C414yes—
143C3×C22⋊D5C42116yescomplemented
144C2×C3×Dic5—21no—
145C2×C3×Dic5—22no—
146C2×C3×Dic5—22no—
147C2×C3×Dic5—22no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—22no—
150C2×C3×Dic5—21no—
151C2×C3×Dic5—48no—
152C2×C3×Dic5C22×C412yes—
153C2×C3×Dic5C22×C414yes—
154C2×C3×Dic5C22×C414yes—
155C2×C3×Dic5C22×C412yes—
156C2×C3×Dic5C22×C414yes—
157C2×C3×Dic5C22×C412yes—
158C3×C4×D5—48no—
159C3×C4×D5—44no—
160C22×C3×D4—51no—
161C23×C3×C4—52no—
162C23×C3×C4—52no—
163C23×C3×C4—51no—
164C23×C3×C4C2×D511yescharacteristic
165C3×C4×D4—58no—
166C3×C4×D4—516no—
167C2×C3×C4⋊C4—51no—
168C2×C3×C4⋊C4—52no—
169C2×C3×C22⋊C4—51no—
170C2×C3×C22⋊C4—51no—
171C2×C3×C22⋊C4—52no—
172C2×C3×C22⋊C4C2×D512yes—
173C2×C3×C42—52no—
174C2×C3×C42—51no—
175C2×C3×C42—52no—
176C2×C3×C42—52no—
177C2×C3×C42C2×D512yes—
178C3×#95—51no—
179C3×#95—52no—
180C3×#95—52no—
181C3×#95—51no—
182C3×#95—52no—
183C3×#95C2×D511yescharacteristic
184C3×#95C2×D511yescharacteristic
185C24×C5C23×C311yescharacteristic
186C23×D5C23×C311yescharacteristic
187C22×C4×C5—42no—
188C22×C4×C5C2×C3×C414yescomplemented
189C22×C4×C5C23×C311yescharacteristic
190C22×C4×C5C23×C312yes—
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C311yescharacteristic
193C2×C22⋊D5C2×C3×C418yes—
194C2×C22⋊D5C2×C3×C414yes—
195C22×Dic5—42no—
196C22×Dic5—42no—
197C22×Dic5C2×C3×C418yescomplemented
198C22×Dic5C23×C311yescharacteristic
199C22×Dic5C23×C311yescharacteristic
200C22×Dic5C23×C312yes—
201C22×Dic5C23×C312yes—
202C22×Dic5C23×C311yescharacteristic
203C2×C4×D5—42no—
204C2×C4×D5—42no—
205C2×C4×D5—42no—
206C2×C4×D5C2×C3×C418yescomplemented
207C2×C4×D5C2×C3×C414yescomplemented
208C5×C22⋊C4C2×C3×C418yescomplemented
209C42×C5—42no—
210C22⋊Dic5C2×C3×C414yescomplemented
211#685C2×C3×C418yescomplemented
212#685C2×C3×C414yescomplemented
213#683C2×C3×C418yescomplemented
214#683C2×C3×C414yescomplemented
215C4×Dic5—42no—
216C4×Dic5—42no—
217C4×Dic5C2×C3×C418yescomplemented
218C4×Dic5C2×C3×C414yescomplemented
219C2×C4×D4—51no—
220C2×C4×D4—52no—
221C4×C4⋊C4—52no—
222C4×C4⋊C4—51no—
223C4×C22⋊C4—52no—
224C4×C22⋊C4—52no—
225C4×C22⋊C4—51no—
226C4×C22⋊C4C3×D511yescharacteristic, complemented
227#376—51no—
228C2×#95—51no—
229C2×#95—51no—
230C22×C3×C5—24no—
231C22×C3×C5—22no—
232C22×C3×C5—22no—
233C22×C3×C5—24no—
234C22×C3×C5C2×C4214yes—
235C22×C3×C5C23×C411yescharacteristic
236C22×C3×C5C23×C412yes—
237C22×C3×C5H(5,𝔽2)12yes—
238C22×C3×C5H(5,𝔽2)11yescharacteristic
239C22×C3×C52−1+411yescharacteristic
240C2×C3×D5—22no—
241C2×C3×D5—24no—
242C2×C3×D5—22no—
243C2×C3×D5—24no—
244C2×C3×D5C2×C4214yes—
245C3×C4×C5—22no—
246C3×C4×C5—24no—
247C3×C4×C5—22no—
248C3×C4×C5—24no—
249C3×Dic5—24no—
250C3×Dic5—22no—
251C3×Dic5—24no—
252C3×Dic5—22no—
253C3×Dic5C2×C4214yes—
254C24×C3—51no—
255C24×C3C22×D511yescharacteristic
256C2×C3×D4—54no—
257C2×C3×D4—58no—
258C22×C3×C4—42no—
259C22×C3×C4—51no—
260C22×C3×C4—52no—
261C22×C3×C4—51no—
262C22×C3×C4—51no—
263C22×C3×C4—52no—
264C22×C3×C4—58no—
265C22×C3×C4—58no—
266C22×C3×C4—54no—
267C22×C3×C4—202no—
268C22×C3×C4—202no—
269C22×C3×C4—202no—
270C22×C3×C4—202no—
271C22×C3×C4—202no—
272C22×C3×C4C4×D514yescomplemented
273C22×C3×C4C22×D511yescharacteristic
274C22×C3×C4C22×D511yescharacteristic
275C22×C3×C4C22×D512yes—
276C22×C3×C4C22×D512yes—
277C3×C4⋊C4—54no—
278C3×C4⋊C4—58no—
279C3×C22⋊C4—54no—
280C3×C22⋊C4—54no—
281C3×C22⋊C4—58no—
282C3×C22⋊C4C4×D518yescomplemented
283C3×C42—42no—
284C3×C42—54no—
285C3×C42—58no—
286C3×C42—202no—
287C3×C42—202no—
288C23×C5—21no—
289C23×C5—22no—
290C23×C5—21no—
291C23×C5C22×C3×C412yes—
292C23×C5C22×C3×C414yes—
293C23×C5C24×C311yescharacteristic
294C22×D5—22no—
295C22×D5—21no—
296C22×D5—21no—
297C22×D5C22×C3×C414yes—
298C22×D5C22×C3×C412yes—
299C2×C4×C5—22no—
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—44no—
306C2×C4×C5C22×C3×C414yes—
307C2×C4×C5C22×C3×C412yes—
308C2×C4×C5C22×C3×C412yes—
309C2×C4×C5C22×C3×C414yes—
310C22⋊D5C3×C42116yescomplemented
311C2×Dic5—21no—
312C2×Dic5—22no—
313C2×Dic5—22no—
314C2×Dic5—22no—
315C2×Dic5—22no—
316C2×Dic5—22no—
317C2×Dic5—21no—
318C2×Dic5—48no—
319C2×Dic5C22×C3×C412yes—
320C2×Dic5C22×C3×C414yes—
321C2×Dic5C22×C3×C414yes—
322C2×Dic5C22×C3×C412yes—
323C2×Dic5C22×C3×C414yes—
324C2×Dic5C22×C3×C412yes—
325C4×D5—48no—
326C4×D5—44no—
327C22×D4—51no—
328C23×C4—52no—
329C23×C4—52no—
330C23×C4—51no—
331C23×C4C2×C3×D511yescharacteristic
332C4×D4—58no—
333C4×D4—516no—
334C2×C4⋊C4—51no—
335C2×C4⋊C4—52no—
336C2×C22⋊C4—51no—
337C2×C22⋊C4—51no—
338C2×C22⋊C4—52no—
339C2×C22⋊C4C2×C3×D512yes—
340C2×C42—52no—
341C2×C42—51no—
342C2×C42—52no—
343C2×C42—52no—
344C2×C42C2×C3×D512yes—
345#95—51no—
346#95—52no—
347#95—52no—
348#95—51no—
349#95—52no—
350#95C2×C3×D511yescharacteristic
351#95C2×C3×D511yescharacteristic
352C2×C3×C5—24no—
353C2×C3×C5C22×C4211yescharacteristic
354C2×C3×C5#51811yescharacteristic
355C2×C3×C5#51812yes—
356C2×C3×C5#52011yescharacteristic
357C2×C3×C5#52012yes—
358C3×D5—24no—
359C23×C3—22no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—52no—
363C23×C3—54no—
364C23×C3—102no—
365C23×C3—101no—
366C23×C3—101no—
367C23×C3C2×C4×D512yes—
368C23×C3C2×C4×D514yes—
369C23×C3C23×D511yescharacteristic
370C3×D4—516no—
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—44no—
378C2×C3×C4—52no—
379C2×C3×C4—54no—
380C2×C3×C4—52no—
381C2×C3×C4—54no—
382C2×C3×C4—52no—
383C2×C3×C4—54no—
384C2×C3×C4—102no—
385C2×C3×C4—102no—
386C2×C3×C4—102no—
387C2×C3×C4—101no—
388C2×C3×C4—102no—
389C2×C3×C4—102no—
390C2×C3×C4—101no—
391C2×C3×C4—204no—
392C2×C3×C4—208no—
393C2×C3×C4—208no—
394C2×C3×C4C2×C4×D514yes—
395C2×C3×C4C2×C4×D512yes—
396C2×C3×C4C2×C4×D512yes—
397C2×C3×C4C2×C4×D514yes—
398C22×C5—24no—
399C22×C5—22no—
400C22×C5—22no—
401C22×C5—24no—
402C22×C5C2×C3×C4214yes—
403C22×C5C23×C3×C411yescharacteristic
404C22×C5C23×C3×C412yes—
405C22×C5C3×H(5,𝔽2)12yes—
406C22×C5C3×H(5,𝔽2)11yescharacteristic
407C22×C5C3×2−1+411yescharacteristic
408C2×D5—24no—
409C2×D5—22no—
410C2×D5—22no—
411C2×D5—24no—
412C2×D5C2×C3×C4214yes—
413C4×C5—22no—
414C4×C5—24no—
415C4×C5—22no—
416C4×C5—24no—
417Dic5—24no—
418Dic5—22no—
419Dic5—24no—
420Dic5—22no—
421Dic5C2×C3×C4214yes—
422C24—51no—
423C24C22×C3×D511yescharacteristic
424C2×D4—54no—
425C2×D4—58no—
426C22×C4—42no—
427C22×C4—51no—
428C22×C4—52no—
429C22×C4—51no—
430C22×C4—51no—
431C22×C4—52no—
432C22×C4—58no—
433C22×C4—58no—
434C22×C4—54no—
435C22×C4—202no—
436C22×C4—202no—
437C22×C4—202no—
438C22×C4—202no—
439C22×C4—202no—
440C22×C4C3×C4×D514yescomplemented
441C22×C4C22×C3×D511yescharacteristic
442C22×C4C22×C3×D511yescharacteristic
443C22×C4C22×C3×D512yes—
444C22×C4C22×C3×D512yes—
445C4⋊C4—54no—
446C4⋊C4—58no—
447C22⋊C4—54no—
448C22⋊C4—54no—
449C22⋊C4—58no—
450C22⋊C4C3×C4×D518yescomplemented
451C42—42no—
452C42—54no—
453C42—58no—
454C42—202no—
455C42—202no—
456C3×C5#227511yescharacteristic, complemented, Hall
457C22×C3—22no—
458C22×C3—22no—
459C22×C3—24no—
460C22×C3—24no—
461C22×C3—54no—
462C22×C3—102no—
463C22×C3—102no—
464C22×C3—104no—
465C22×C3—104no—
466C22×C3C42×D514yes—
467C22×C3C22×C4×D511yescharacteristic
468C22×C3C22×C4×D512yes—
469C22×C3#414412yes—
470C22×C3#414911yescharacteristic
471C22×C3#415011yescharacteristic
472C3×C4—22no—
473C3×C4—22no—
474C3×C4—24no—
475C3×C4—24no—
476C3×C4—54no—
477C3×C4—102no—
478C3×C4—102no—
479C3×C4—104no—
480C3×C4—104no—
481C2×C5—24no—
482C2×C5C22×C3×C4211yescharacteristic
483C2×C5C3×#51812yes—
484C2×C5C3×#51811yescharacteristic
485C2×C5C3×#52011yescharacteristic
486C2×C5C3×#52012yes—
487D5—24no—
488C23—22no—
489C23—21no—
490C23—21no—
491C23—52no—
492C23—54no—
493C23—102no—
494C23—101no—
495C23—101no—
496C23C2×C3×C4×D512yes—
497C23C2×C3×C4×D514yes—
498C23C23×C3×D511yescharacteristic
499D4—516no—
500C2×C4—22no—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—22no—
505C2×C4—22no—
506C2×C4—44no—
507C2×C4—52no—
508C2×C4—54no—
509C2×C4—52no—
510C2×C4—54no—
511C2×C4—54no—
512C2×C4—52no—
513C2×C4—102no—
514C2×C4—102no—
515C2×C4—102no—
516C2×C4—101no—
517C2×C4—102no—
518C2×C4—102no—
519C2×C4—101no—
520C2×C4—208no—
521C2×C4—204no—
522C2×C4—208no—
523C2×C4C2×C3×C4×D514yes—
524C2×C4C2×C3×C4×D512yes—
525C2×C4C2×C3×C4×D512yes—
526C2×C4C2×C3×C4×D514yes—
527C2×C3—24no—
528C2×C3—104no—
529C2×C3C2×C42×D511yescharacteristic
530C2×C3#6582011yescharacteristic
531C2×C3#6585711yescharacteristic
532C2×C3#6587912yes—
533C2×C3#6588012yes—
534C5C3×#227511yescharacteristic, complemented, Sylow
535C22—22no—
536C22—24no—
537C22—24no—
538C22—22no—
539C22—54no—
540C22—102no—
541C22—104no—
542C22—104no—
543C22—102no—
544C22C3×C42×D514yes—
545C22C22×C3×C4×D511yescharacteristic
546C22C22×C3×C4×D512yes—
547C22C3×#414412yes—
548C22C3×#414911yescharacteristic
549C22C3×#415011yescharacteristic
550C4—24no—
551C4—24no—
552C4—22no—
553C4—22no—
554C4—54no—
555C4—102no—
556C4—104no—
557C4—104no—
558C4—102no—
559C3#1060516711yescharacteristic, direct product factor, Sylow
560C2—24no—
561C2—104no—
562C2C2×C3×C42×D511yescharacteristic
563C2C3×#6582011yescharacteristic
564C2C3×#6585711yescharacteristic
565C2C3×#6587912yes—
566C2C3×#6588012yes—
subgroupG/H
centerC23×C3C23×D5
commutatorC2×C5C22×C3×C42
FrattiniC23C23×C3×D5
FittingC3×C4×C5×C22⋊C4C2
socleC23×C3×C5C24
prime radicalC22×C3×C22⋊D5C22
cosocleC23×C5C24×C3
hypercenterC3×C4×C22⋊C4D5
hypocenterC5C3×#2275
LCSG ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C3×C4×C5×C22⋊C4C2semidirect
4. C2×C3×#3963C2semidirect
5. C3×C22⋊C4×Dic5C2semidirect
6. C3×C4×#685C2semidirect
7. C3×C4×#683C2semidirect
8. C3×#64955C2semidirect
9. C3×D5×#95C2semidirect
10. C3×#64938C2semidirect
11. C3×#64937C2semidirect
12. #10605167C3direct (N × H)
21. C3×C4×C22⋊D5C4semidirect
30. C3×#4027C4semidirect
41. C4×C5×C22⋊C4C2×C3semidirect
42. C2×#3963C2×C3semidirect
43. C22⋊C4×Dic5C2×C3semidirect
44. C4×#685C2×C3semidirect
45. C4×#683C2×C3semidirect
46. #64955C2×C3semidirect
47. D5×#95C2×C3semidirect
48. #64938C2×C3semidirect
49. #64937C2×C3semidirect
53. C22×C3×C4×C5C2×C4semidirect
62. C22×C3×Dic5C2×C4semidirect
71. C2×C3×C4×D5C2×C4semidirect
72. C2×C3×C4×D5C2×C4semidirect
73. C3×C5×C22⋊C4C2×C4semidirect
75. C3×C22⋊Dic5C2×C4semidirect
76. C3×#685C2×C4semidirect
77. C3×#685C2×C4semidirect
78. C3×#683C2×C4semidirect
79. C3×#683C2×C4semidirect
82. C3×C4×Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
91. C3×C4×C22⋊C4D5semidirect
103. C4×C22⋊D5C3×C4semidirect
112. #4027C3×C4semidirect
143. C3×C22⋊D5C42semidirect
188. C22×C4×C5C2×C3×C4semidirect
197. C22×Dic5C2×C3×C4semidirect
206. C2×C4×D5C2×C3×C4semidirect
207. C2×C4×D5C2×C3×C4semidirect
208. C5×C22⋊C4C2×C3×C4semidirect
210. C22⋊Dic5C2×C3×C4semidirect
211. #685C2×C3×C4semidirect
212. #685C2×C3×C4semidirect
213. #683C2×C3×C4semidirect
214. #683C2×C3×C4semidirect
217. C4×Dic5C2×C3×C4semidirect
218. C4×Dic5C2×C3×C4semidirect
226. C4×C22⋊C4C3×D5semidirect
272. C22×C3×C4C4×D5semidirect
282. C3×C22⋊C4C4×D5semidirect
310. C22⋊D5C3×C42semidirect
440. C22×C4C3×C4×D5semidirect
450. C22⋊C4C3×C4×D5semidirect
456. C3×C5#2275semidirect
534. C5C3×#2275semidirect
559. C3#10605167direct (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×C22⋊D52
C2×C3×#40272
C3×C4×C5×C22⋊C42
C2×C3×#39632
C3×C22⋊C4×Dic52
C3×C4×#6852
C3×C4×#6832
C3×#649552
C3×D5×#952
C3×#649382
C3×#649372
#106051673
C3×#22755