Finite Group Databasebeta

← C4×Dic5×#67 #14319586

Subgroups — C4×Dic5×#67 #14319586

Order 1920.

1848 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×#67C211yesmaximal, characteristic
2C22×C3×C4×Dic5C211yesmaximal, characteristic, complemented
3C2×Dic5×#67C212yesmaximal
4C2×C4×D3×Dic5C211yesmaximal, characteristic, complemented
5C4×#6719C211yesmaximal, characteristic, complemented
6Dic5×#217C212yesmaximal, complemented
7Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
8C4×Dic3⋊Dic5C211yesmaximal, characteristic, complemented
9C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
10Dic5×Dic3⋊C4C212yesmaximal, complemented
11C4×Dic3×Dic5C211yesmaximal, characteristic, complemented
12C4×D4×Dic5—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×C5×#67C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C23×C3×Dic5C2212yes—
17C22×D3×Dic5C2212yes—
18C2×#6719C2212yes—
19C2×C4×Dic15C2211yescharacteristic
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×#217C2211yescharacteristic
22C4×C5×#67C418yescomplemented
23C2×C5×(C2×D3)⋊C4C2211yescharacteristic
24C2×C5×Dic3⋊C4C2211yescharacteristic
25C2×C4×C5×Dic3C2211yescharacteristic
26C2×C3×C4×Dic5—24no—
27C2×C3×C4×Dic5C2212yes—
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2211yescharacteristic
30Dic5×#67C4116yesdirect product factor
31C2×Dic3⋊Dic5C2212yes—
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×Dic3×Dic5C2212yes—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36C4×D3×Dic5—24no—
37#91115C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C42×#67—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×D4×Dic5—32no—
43C22×C4×Dic5—31no—
44C22×C4×Dic5D311yescharacteristic, complemented
45C4×C22⋊Dic5—31no—
46C4×C22⋊Dic5—31no—
47C4⋊C4×Dic5—32no—
48C22⋊C4×Dic5—32no—
49C22⋊C4×Dic5—32no—
50C4×C4⋊Dic5—31no—
51C42×Dic5—31no—
52C24×C3×C5C2311yescharacteristic
53C23×C5×D3C2311yescharacteristic
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5—22no—
56C22×C3×C4×C5C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15C2312yes—
60C22×Dic15C2312yes—
61C2×C5×#67C2×C418yes—
62C2×C5×#67C2×C414yes—
63C22×C5×Dic3C2311yescharacteristic
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2311yescharacteristic
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3—22no—
68C2×C4×C5×D3C2×C414yescomplemented
69C22×C3×Dic5—24no—
70C22×C3×Dic5—24no—
71C22×C3×Dic5C2×C418yescomplemented
72C22×C3×Dic5C2312yes—
73C22×C3×Dic5C2312yes—
74C2×D3×Dic5—24no—
75C2×D3×Dic5—24no—
76C2×D3×Dic5C2×C418yescomplemented
77#6719C2×C418yescomplemented
78C4×Dic15—22no—
79C4×Dic15—22no—
80C5×#217C2×C414yescomplemented
81C5×(C2×D3)⋊C4C2×C414yescomplemented
82C5×Dic3⋊C4C2×C414yescomplemented
83C4×C5×Dic3C2×C414yescomplemented
84C3×C4×Dic5—22no—
85C3×C4×Dic5—24no—
86C3×C4×Dic5D414yescomplemented
87Dic3⋊Dic5C2×C418yescomplemented
88(C2×D3)⋊Dic5C2×C418yescomplemented
89Dic3×Dic5—24no—
90Dic3×Dic5—24no—
91Dic3×Dic5C2×C418yescomplemented
92C22×C3×C42—51no—
93C2×C4×#67—52no—
94C2×C4×#67D511yescharacteristic
95C2×C42×D3—51no—
96C4×#217—51no—
97C4×#217—52no—
98C4×(C2×D3)⋊C4—51no—
99C4×(C2×D3)⋊C4—52no—
100C4×Dic3⋊C4—52no—
101C4×Dic3⋊C4—51no—
102C42×Dic3—51no—
103C22×C5×D4—31no—
104C23×C4×C5—31no—
105C23×C4×C5C2×D311yescharacteristic
106C23×Dic5—32no—
107C23×Dic5C2×D312yes—
108C4×C5×D4—38no—
109C2×C5×C4⋊C4—31no—
110C2×C5×C22⋊C4—31no—
111C2×C5×C22⋊C4—31no—
112C2×C42×C5—31no—
113C2×C22⋊Dic5—32no—
114C2×C22⋊Dic5—32no—
115D4×Dic5—316no—
116C2×C4⋊Dic5—32no—
117C2×C4×Dic5—24no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—31no—
120C2×C4×Dic5—31no—
121C2×C4×Dic5—32no—
122C2×C4×Dic5—32no—
123C2×C4×Dic5—64no—
124C2×C4×Dic5C2×D311yescharacteristic
125C2×C4×Dic5C2×D312yes—
126C2×C4×Dic5C2×D311yescharacteristic
127#3963—32no—
128#3963—32no—
129#3963—32no—
130C42×D4—151noSylow
131C23×C3×C5—21no—
132C23×C3×C5—22no—
133C23×C3×C5—21no—
134C23×C3×C5C22×C414yes—
135C23×C3×C5C22×C412yes—
136C23×C3×C5C2411yescharacteristic
137C22×C5×D3—21no—
138C22×C5×D3—22no—
139C22×C5×D3—21no—
140C22×C5×D3C22×C414yes—
141C22×C5×D3C22×C412yes—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—28no—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5#4112yes—
149C2×Dic15—22no—
150C2×Dic15—22no—
151C2×Dic15—22no—
152C2×Dic15—22no—
153C2×Dic15C22×C414yes—
154C2×Dic15C22×C414yes—
155C5×#67C42116yescomplemented
156C2×C5×Dic3—21no—
157C2×C5×Dic3—22no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3C22×C412yes—
160C2×C5×Dic3C22×C412yes—
161C2×C5×Dic3C22×C414yes—
162C2×C5×Dic3C22×C412yes—
163C4×C5×D3—28no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—216no—
167C2×C3×Dic5C22×C414yes—
168C2×C3×Dic5C22×C414yes—
169C2×C3×Dic5C2×D414yes—
170C2×C3×Dic5#4114yes—
171D3×Dic5—216no—
172C23×C3×C4—52no—
173C23×C3×C4C2×D511yescharacteristic
174C22×#67C2×D511yescharacteristic
175C22×C4×D3—52no—
176C22×C4×D3C2×D511yescharacteristic
177C2×C3×C42—51no—
178C2×C3×C42—52no—
179C2×C3×C42—51no—
180C2×C3×C42—104no—
181C2×#217—52no—
182C2×#217C2×D511yescharacteristic
183C4×#67—516no—
184C4×#67Dic518yesdirect product factor
185C2×(C2×D3)⋊C4—52no—
186C2×(C2×D3)⋊C4C2×D511yescharacteristic
187C2×Dic3⋊C4—52no—
188C2×Dic3⋊C4C2×D511yescharacteristic
189C2×C4×Dic3—52no—
190C2×C4×Dic3—51no—
191C2×C4×Dic3—51no—
192C2×C4×Dic3—52no—
193C2×C4×Dic3—52no—
194C2×C4×Dic3C2×D511yescharacteristic
195C42×D3—104no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C3⋊#95—52no—
199C24×C5—31no—
200C24×C5C22×D311yescharacteristic
201C2×C5×D4—34no—
202C2×C5×D4—38no—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—31no—
206C22×C4×C5—31no—
207C22×C4×C5—31no—
208C22×C4×C5—34no—
209C22×C4×C5—62no—
210C22×C4×C5—62no—
211C22×C4×C5C4×D314yescomplemented
212C22×C4×C5C22×D311yescharacteristic
213C22×C4×C5C22×D311yescharacteristic
214C22×Dic5—24no—
215C22×Dic5—24no—
216C22×Dic5—32no—
217C22×Dic5—32no—
218C22×Dic5—38no—
219C22×Dic5—64no—
220C22×Dic5—64no—
221C22×Dic5C4×D318yescomplemented
222C22×Dic5C22×D312yes—
223C22×Dic5C22×D312yes—
224C5×C4⋊C4—34no—
225C5×C22⋊C4—34no—
226C5×C22⋊C4—34no—
227C42×C5—34no—
228C22⋊Dic5—38no—
229C22⋊Dic5—38no—
230C4⋊Dic5—38no—
231C4×Dic5—22no—
232C4×Dic5—24no—
233C4×Dic5—38no—
234C4×Dic5—62no—
235C4×Dic5—62no—
236C4×Dic5—64no—
237C4×Dic5—64no—
238C4×Dic5#6714yesdirect product factor
239C2×C4×D4—31no—
240C2×C4×D4—152no—
241C22×C42—51no—
242C22×C42—151no—
243C4×C4⋊C4—151no—
244C4×C4⋊C4—152no—
245C4×C22⋊C4—152no—
246C4×C22⋊C4—151no—
247C4×C22⋊C4—152no—
248C4×C22⋊C4—151no—
249C43—151no—
250C22×C3×C5—24no—
251C22×C3×C5—22no—
252C22×C3×C5—24no—
253C22×C3×C5—22no—
254C22×C3×C5C2×C4214yescomplemented
255C22×C3×C5C23×C412yes—
256C22×C3×C5C23×C411yescharacteristic
257C22×C3×C5C22×D411yescharacteristic
258C22×C3×C5C2×#4111yescharacteristic
259C22×C3×C5C2×#4112yes—
260C2×C5×D3—24no—
261C2×C5×D3—22no—
262C2×C5×D3—24no—
263C2×C5×D3—22no—
264C2×C5×D3C2×C4214yescomplemented
265C3×C4×C5—22no—
266C3×C4×C5C4×D414yescomplemented
267Dic15—24no—
268Dic15—24no—
269C3×Dic5—24no—
270C3×Dic5C4×D418yescomplemented
271C5×Dic3—22no—
272C5×Dic3—22no—
273C5×Dic3C2×C4214yescomplemented
274C24×C3C22×D511yescharacteristic
275C23×D3C22×D511yescharacteristic
276C22×C3×C4—22no—
277C22×C3×C4—22no—
278C22×C3×C4—52no—
279C22×C3×C4—58no—
280C22×C3×C4—52no—
281C22×C3×C4—104no—
282C22×C3×C4—104no—
283C22×C3×C4C2×Dic514yescomplemented
284C22×C3×C4C22×D511yescharacteristic
285C22×C3×C4C22×D511yescharacteristic
286C2×#67C4×D518yes—
287C2×#67C2×Dic514yes—
288C22×Dic3—52no—
289C22×Dic3—52no—
290C22×Dic3C22×D511yescharacteristic
291C22×Dic3C22×D511yescharacteristic
292C22×Dic3C22×D511yescharacteristic
293C2×C4×D3—22no—
294C2×C4×D3—22no—
295C2×C4×D3—58no—
296C2×C4×D3—104no—
297C2×C4×D3—104no—
298C2×C4×D3C2×Dic514yescomplemented
299C3×C42—54no—
300C3×C42—104no—
301C3×C42—102no—
302#217—58no—
303#217C2×Dic514yescomplemented
304(C2×D3)⋊C4—58no—
305(C2×D3)⋊C4C2×Dic514yescomplemented
306Dic3⋊C4—58no—
307Dic3⋊C4C2×Dic514yescomplemented
308C4×Dic3—58no—
309C4×Dic3—104no—
310C4×Dic3—104no—
311C4×Dic3—102no—
312C4×Dic3—102no—
313C4×Dic3C2×Dic514yescomplemented
314C23×C5—22no—
315C23×C5—21no—
316C23×C5—21no—
317C23×C5—34no—
318C23×C5—32no—
319C23×C5—62no—
320C23×C5—61no—
321C23×C5—61no—
322C23×C5C2×C4×D314yes—
323C23×C5C2×C4×D312yes—
324C23×C5C23×D311yescharacteristic
325C5×D4—316no—
326C2×C4×C5—21no—
327C2×C4×C5—21no—
328C2×C4×C5—28no—
329C2×C4×C5—34no—
330C2×C4×C5—32no—
331C2×C4×C5—32no—
332C2×C4×C5—32no—
333C2×C4×C5—62no—
334C2×C4×C5—61no—
335C2×C4×C5—61no—
336C2×C4×C5—68no—
337C2×C4×C5C2×C4×D312yes—
338C2×C4×C5C2×C4×D312yes—
339C2×C4×C5#23512yes—
340C2×C4×C5C2×#6712yes—
341C2×Dic5—22no—
342C2×Dic5—22no—
343C2×Dic5—216no—
344C2×Dic5—34no—
345C2×Dic5—34no—
346C2×Dic5—62no—
347C2×Dic5—62no—
348C2×Dic5—62no—
349C2×Dic5—62no—
350C2×Dic5—616no—
351C2×Dic5C2×C4×D314yes—
352C2×Dic5C2×C4×D314yes—
353C2×Dic5#23514yes—
354C2×Dic5C2×#6714yes—
355C22×D4—31no—
356C23×C4—31no—
357C23×C4—52no—
358C23×C4—152no—
359C23×C4D3×D511yescharacteristic
360C4×D4—38no—
361C4×D4—1516no—
362C2×C4⋊C4—31no—
363C2×C4⋊C4—152no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—31no—
366C2×C22⋊C4—152no—
367C2×C22⋊C4—152no—
368C2×C42—31no—
369C2×C42—51no—
370C2×C42—52no—
371C2×C42—51no—
372C2×C42—104no—
373C2×C42—152no—
374C2×C42—152no—
375C2×C42—152no—
376C2×C42—151no—
377C2×C42—151no—
378C2×C42—304no—
379#95—152no—
380#95—152no—
381#95—152no—
382C2×C3×C5—24no—
383C2×C3×C5C22×C4211yescharacteristic
384C2×C3×C5C2×C4×D411yescharacteristic
385C2×C3×C5C2×C4×D412yes—
386C2×C3×C5C4×#4112yes—
387C2×C3×C5C4×#4111yescharacteristic
388C5×D3—24no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—22no—
392C23×C3C2×C4×D514yes—
393C23×C3C22×Dic512yes—
394C23×C3C23×D511yescharacteristic
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—22no—
398C22×D3C2×C4×D514yes—
399C22×D3C22×Dic512yes—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—28no—
403C2×C3×C4—54no—
404C2×C3×C4—54no—
405C2×C3×C4—54no—
406C2×C3×C4—54no—
407C2×C3×C4—1016no—
408C2×C3×C4—102no—
409C2×C3×C4—102no—
410C2×C3×C4D4×D512yes—
411C2×C3×C4#71112yes—
412C2×C3×C4C22×Dic512yes—
413C2×C3×C4C22×Dic512yes—
414#67C4×Dic5116yesdirect product factor
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—54no—
419C2×Dic3—54no—
420C2×Dic3—102no—
421C2×Dic3—102no—
422C2×Dic3—102no—
423C2×Dic3—102no—
424C2×Dic3C2×C4×D514yes—
425C2×Dic3C22×Dic512yes—
426C2×Dic3C22×Dic512yes—
427C2×Dic3C22×Dic512yes—
428C4×D3—28no—
429C4×D3—1016no—
430C22×C5—24no—
431C22×C5—22no—
432C22×C5—24no—
433C22×C5—22no—
434C22×C5—34no—
435C22×C5—64no—
436C22×C5—62no—
437C22×C5—64no—
438C22×C5—62no—
439C22×C5C42×D314yescomplemented
440C22×C5C22×C4×D312yes—
441C22×C5C22×C4×D311yescharacteristic
442C22×C5C2×#23512yes—
443C22×C5C2×#23511yescharacteristic
444C22×C5C22×#6711yescharacteristic
445C4×C5—22no—
446C4×C5—34no—
447C4×C5—62no—
448C4×C5—62no—
449C4×C5C4×#6714yescomplemented
450Dic5—24no—
451Dic5—64no—
452Dic5—64no—
453Dic5C4×#6718yesdirect product factor
454C24—31no—
455C24C2×D3×D511yescharacteristic
456C2×D4—38no—
457C2×D4—34no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—31no—
461C22×C4—31no—
462C22×C4—31no—
463C22×C4—34no—
464C22×C4—52no—
465C22×C4—58no—
466C22×C4—52no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—104no—
470C22×C4—104no—
471C22×C4—158no—
472C22×C4—152no—
473C22×C4—152no—
474C22×C4—304no—
475C22×C4—304no—
476C22×C4D3×Dic514yescomplemented
477C22×C4C2×D3×D511yescharacteristic
478C22×C4C2×D3×D511yescharacteristic
479C4⋊C4—34no—
480C4⋊C4—158no—
481C22⋊C4—34no—
482C22⋊C4—34no—
483C22⋊C4—158no—
484C22⋊C4—158no—
485C42—34no—
486C42—54no—
487C42—104no—
488C42—102no—
489C42—158no—
490C42—304no—
491C42—304no—
492C42—302no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3—24no—
496C22×C3—22no—
497C22×C3—24no—
498C22×C3—22no—
499C22×C3C2×C4×Dic514yescomplemented
500C22×C3C22×C4×D512yes—
501C22×C3C2×D4×D511yescharacteristic
502C22×C3C2×#71111yescharacteristic
503C22×C3D5×#4112yes—
504C22×C3C23×Dic511yescharacteristic
505C2×D3—24no—
506C2×D3—22no—
507C2×D3—24no—
508C2×D3—22no—
509C2×D3C2×C4×Dic514yescomplemented
510C3×C4—22no—
511C3×C4—58no—
512C3×C4—104no—
513C3×C4D4×Dic514yescomplemented
514Dic3—22no—
515Dic3—22no—
516Dic3—104no—
517Dic3—104no—
518Dic3C2×C4×Dic514yescomplemented
519C2×C5—24no—
520C2×C5—64no—
521C2×C5C2×C42×D311yescharacteristic
522C2×C5C4×#23512yes—
523C2×C5C4×#23511yescharacteristic
524C2×C5C2×C4×#6711yescharacteristic
525C2×C5C2×C4×#6712yes—
526C23—22no—
527C23—21no—
528C23—21no—
529C23—34no—
530C23—32no—
531C23—62no—
532C23—61no—
533C23—61no—
534C23C4×D3×D514yes—
535C23C2×D3×Dic512yes—
536C23C22×D3×D511yescharacteristic
537D4—316no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—28no—
541C2×C4—34no—
542C2×C4—32no—
543C2×C4—32no—
544C2×C4—32no—
545C2×C4—54no—
546C2×C4—54no—
547C2×C4—54no—
548C2×C4—54no—
549C2×C4—62no—
550C2×C4—61no—
551C2×C4—61no—
552C2×C4—68no—
553C2×C4—1016no—
554C2×C4—102no—
555C2×C4—102no—
556C2×C4—154no—
557C2×C4—154no—
558C2×C4—3016no—
559C2×C4—302no—
560C2×C4—302no—
561C2×C4—302no—
562C2×C4—302no—
563C2×C4C2×D3×Dic512yes—
564C2×C4C2×D3×Dic512yes—
565C2×C4#678212yes—
566C2×C4D5×#6712yes—
567C2×C3—24no—
568C2×C3C4×#71112yes—
569C2×C3C4×D4×D512yes—
570C2×C3C22×C4×Dic511yescharacteristic
571C2×C3C2×D4×Dic511yescharacteristic
572C2×C3#41×Dic511yescharacteristic
573D3—24no—
574C5C42×#6711yescharacteristic, complemented, Sylow
575C22—24no—
576C22—22no—
577C22—24no—
578C22—22no—
579C22—34no—
580C22—64no—
581C22—62no—
582C22—64no—
583C22—62no—
584C22C4×D3×Dic514yescomplemented
585C22C2×C4×D3×D512yes—
586C22D5×#23512yes—
587C22C22×D3×Dic511yescharacteristic
588C22C2×#678211yescharacteristic
589C22C2×D5×#6711yescharacteristic
590C4—22no—
591C4—34no—
592C4—58no—
593C4—62no—
594C4—62no—
595C4—104no—
596C4—304no—
597C4—304no—
598C4Dic5×#6714yesdirect product factor
599C3C4×D4×Dic511yescharacteristic, complemented, Sylow
600C2—24no—
601C2—64no—
602C2C2×C4×D3×Dic511yescharacteristic
603C2C4×#678212yes—
604C2Dic5×#23511yescharacteristic
605C2C4×D5×#6712yes—
606C2C2×Dic5×#6711yescharacteristic
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC2×C3×C5C22×C42
FrattiniC23C22×D3×D5
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#67C22
hypercenterC23×C4D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×Dic5C2semidirect
4. C2×C4×D3×Dic5C2semidirect
5. C4×#6719C2semidirect
6. Dic5×#217C2semidirect
7. Dic5×(C2×D3)⋊C4C2semidirect
8. C4×Dic3⋊Dic5C2semidirect
9. C4×(C2×D3)⋊Dic5C2semidirect
10. Dic5×Dic3⋊C4C2semidirect
11. C4×Dic3×Dic5C2semidirect
22. C4×C5×#67C4semidirect
30. Dic5×#67C4direct (N × H)
44. C22×C4×Dic5D3semidirect
56. C22×C3×C4×C5C2×C4semidirect
68. C2×C4×C5×D3C2×C4semidirect
71. C22×C3×Dic5C2×C4semidirect
76. C2×D3×Dic5C2×C4semidirect
77. #6719C2×C4semidirect
80. C5×#217C2×C4semidirect
81. C5×(C2×D3)⋊C4C2×C4semidirect
82. C5×Dic3⋊C4C2×C4semidirect
83. C4×C5×Dic3C2×C4semidirect
86. C3×C4×Dic5D4semidirect
87. Dic3⋊Dic5C2×C4semidirect
88. (C2×D3)⋊Dic5C2×C4semidirect
91. Dic3×Dic5C2×C4semidirect
155. C5×#67C42semidirect
184. C4×#67Dic5direct (N × H)
211. C22×C4×C5C4×D3semidirect
221. C22×Dic5C4×D3semidirect
238. C4×Dic5#67direct (N × H)
254. C22×C3×C5C2×C42semidirect
264. C2×C5×D3C2×C42semidirect
266. C3×C4×C5C4×D4semidirect
270. C3×Dic5C4×D4semidirect
273. C5×Dic3C2×C42semidirect
283. C22×C3×C4C2×Dic5semidirect
298. C2×C4×D3C2×Dic5semidirect
303. #217C2×Dic5semidirect
305. (C2×D3)⋊C4C2×Dic5semidirect
307. Dic3⋊C4C2×Dic5semidirect
313. C4×Dic3C2×Dic5semidirect
414. #67C4×Dic5direct (N × H)
439. C22×C5C42×D3semidirect
449. C4×C5C4×#67semidirect
453. Dic5C4×#67direct (N × H)
476. C22×C4D3×Dic5semidirect
494. C3×C5C42×D4semidirect
499. C22×C3C2×C4×Dic5semidirect
509. C2×D3C2×C4×Dic5semidirect
513. C3×C4D4×Dic5semidirect
518. Dic3C2×C4×Dic5semidirect
574. C5C42×#67semidirect
584. C22C4×D3×Dic5semidirect
598. C4Dic5×#67direct (N × H)
599. C3C4×D4×Dic5semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×#672
C22×C3×C4×Dic52
C2×Dic5×#672
C2×C4×D3×Dic52
C4×#67192
Dic5×#2172
Dic5×(C2×D3)⋊C42
C4×Dic3⋊Dic52
C4×(C2×D3)⋊Dic52
Dic5×Dic3⋊C42
C4×Dic3×Dic52
C4×D4×Dic53
C42×#675