Finite Group Databasebeta

← D4×Dic3×Dic5 #14319602

Subgroups — D4×Dic3×Dic5 #14319602

Order 1920.

1848 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic15C211yesmaximal, characteristic
2C2×C5×D4×Dic3C211yesmaximal, characteristic
3C2×C3×D4×Dic5C211yesmaximal, characteristic
4C22×Dic3×Dic5C212yesmaximal, complemented
5#11749487C212yesmaximal, complemented
6Dic3×C22⋊Dic5C212yesmaximal, complemented
7Dic5×#217C212yesmaximal, complemented
8#11748699C211yesmaximal, characteristic, complemented
9Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
10Dic5×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C4×Dic3×Dic5C211yesmaximal, characteristic, complemented
12C4×D4×Dic5—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C23×C5×Dic3C2212yes—
16C23×C3×Dic5C2212yes—
17C2×#6719C2212yes—
18D4×Dic15C418yescomplemented
19C2×C4⋊Dic15C2211yescharacteristic
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×#217C2212yes—
22C5×D4×Dic3C418yescomplemented
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C3×D4×Dic5C418yescomplemented
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×Dic3×Dic5—28no—
30C2×Dic3×Dic5C2211yescharacteristic
31C2×Dic3×Dic5C2211yescharacteristic
32C2×Dic3×Dic5C2211yescharacteristic
33C2×Dic3×Dic5C2212yes—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36C2×Dic3×Dic5C2211yescharacteristic
37#90994C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40C4×D4×Dic3—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×D4×Dic5—31no—
43C2×D4×Dic5D311yescharacteristic
44C22×C4×Dic5—32no—
45C4×C22⋊Dic5—32no—
46C4⋊C4×Dic5—31no—
47C4⋊C4×Dic5—31no—
48C22⋊C4×Dic5—32no—
49C22⋊C4×Dic5—32no—
50C4×C4⋊Dic5—31no—
51C42×Dic5—31no—
52C24×C3×C5C2312yes—
53C2×C3×C5×D4C2×C414yes—
54C2×C3×C5×D4C2×C414yes—
55C2×C3×C5×D4C2×C414yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15—24no—
58C22×Dic15—24no—
59C22×Dic15C2×C418yescomplemented
60C22×Dic15C2311yescharacteristic
61C22×Dic15C2312yes—
62C22×Dic15C2311yescharacteristic
63C22×C5×Dic3—24no—
64C22×C5×Dic3—24no—
65C22×C5×Dic3C2×C418yescomplemented
66C22×C5×Dic3C2311yescharacteristic
67C22×C5×Dic3C2312yes—
68C22×C5×Dic3C2311yescharacteristic
69C22×C3×Dic5—24no—
70C22×C3×Dic5—24no—
71C22×C3×Dic5C2×C418yescomplemented
72C22×C3×Dic5C2311yescharacteristic
73C22×C3×Dic5C2312yes—
74C22×C3×Dic5C2311yescharacteristic
75#6719C2×C418yescomplemented
76C4⋊Dic15C2×C414yescomplemented
77C4×Dic15C2×C414yescomplemented
78C5×#217C2×C418yescomplemented
79C5×C4⋊Dic3C2×C414yescomplemented
80C4×C5×Dic3C2×C414yescomplemented
81C3×C22⋊Dic5C2×C418yescomplemented
82C3×C4⋊Dic5C2×C414yescomplemented
83C3×C4×Dic5C2×C414yescomplemented
84Dic3×Dic5—24no—
85Dic3×Dic5—22no—
86Dic3×Dic5—24no—
87Dic3×Dic5—22no—
88Dic3×Dic5—24no—
89Dic3×Dic5—22no—
90Dic3×Dic5D414yesdirect product factor
91C2×C3×C4×D4—51no—
92C2×D4×Dic3—51no—
93C2×D4×Dic3D511yescharacteristic
94C22×C4×Dic3—52no—
95C4×#217—52no—
96Dic3×C4⋊C4—51no—
97Dic3×C4⋊C4—51no—
98Dic3×C22⋊C4—52no—
99Dic3×C22⋊C4—52no—
100C4×C4⋊Dic3—51no—
101C42×Dic3—51no—
102C22×C5×D4C2×D311yescharacteristic
103C23×C4×C5—32no—
104C23×Dic5—32no—
105C23×Dic5C2×D312yes—
106C4×C5×D4—38no—
107C2×C5×C4⋊C4—31no—
108C2×C5×C22⋊C4—32no—
109C2×C42×C5—31no—
110C2×C22⋊Dic5—32no—
111C2×C22⋊Dic5C2×D312yes—
112D4×Dic5—38no—
113D4×Dic5Dic318yesdirect product factor
114C2×C4⋊Dic5—31no—
115C2×C4⋊Dic5C2×D311yescharacteristic
116C2×C4×Dic5—31no—
117C2×C4×Dic5—31no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—32no—
120C2×C4×Dic5—32no—
121C2×C4×Dic5—31no—
122C2×C4×Dic5—31no—
123C2×C4×Dic5—31no—
124C2×C4×Dic5—68no—
125C2×C4×Dic5C2×D311yescharacteristic
126#3963—32no—
127#3963—32no—
128#3963—32no—
129C42×D4—151noSylow
130C23×C3×C5—22no—
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5—22no—
134C23×C3×C5C22×C414yes—
135C23×C3×C5C22×C414yes—
136C23×C3×C5C22×C414yes—
137C23×C3×C5C2411yescharacteristic
138C3×C5×D4C42116yescomplemented
139C2×C3×C4×C5C22×C412yes—
140C2×C3×C4×C5C22×C412yes—
141C2×C3×C4×C5C22×C412yes—
142C2×Dic15—22no—
143C2×Dic15—21no—
144C2×Dic15—21no—
145C2×Dic15—22no—
146C2×Dic15—216no—
147C2×Dic15C22×C412yes—
148C2×Dic15C22×C414yes—
149C2×Dic15C22×C412yes—
150C2×Dic15C2×D412yes—
151C2×Dic15#4112yes—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3—22no—
156C2×C5×Dic3—216no—
157C2×C5×Dic3C22×C412yes—
158C2×C5×Dic3C22×C414yes—
159C2×C5×Dic3C22×C412yes—
160C2×C5×Dic3C2×D412yes—
161C2×C5×Dic3#4112yes—
162C2×C3×Dic5—22no—
163C2×C3×Dic5—21no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—216no—
167C2×C3×Dic5C22×C412yes—
168C2×C3×Dic5C22×C414yes—
169C2×C3×Dic5C22×C412yes—
170C2×C3×Dic5C2×D412yes—
171C2×C3×Dic5#4112yes—
172C22×C3×D4C2×D511yescharacteristic
173C23×C3×C4—52no—
174C23×Dic3—52no—
175C23×Dic3C2×D512yes—
176C3×C4×D4—58no—
177C2×C3×C4⋊C4—51no—
178C2×C3×C22⋊C4—52no—
179C2×C3×C42—51no—
180C2×#217—52no—
181C2×#217C2×D512yes—
182D4×Dic3—58no—
183D4×Dic3Dic518yesdirect product factor
184C2×C4⋊Dic3—51no—
185C2×C4⋊Dic3C2×D511yescharacteristic
186C2×C4×Dic3—51no—
187C2×C4×Dic3—51no—
188C2×C4×Dic3—51no—
189C2×C4×Dic3—51no—
190C2×C4×Dic3—51no—
191C2×C4×Dic3—52no—
192C2×C4×Dic3—52no—
193C2×C4×Dic3—52no—
194C2×C4×Dic3—108no—
195C2×C4×Dic3C2×D511yescharacteristic
196C3⋊#95—52no—
197C3⋊#95—52no—
198C3⋊#95—52no—
199C24×C5C22×D312yes—
200C2×C5×D4C4×D314yes—
201C2×C5×D4C4×D314yes—
202C2×C5×D4C2×Dic314yes—
203C22×C4×C5—31no—
204C22×C4×C5—38no—
205C22×C4×C5—31no—
206C22×C4×C5—32no—
207C22×C4×C5—64no—
208C22×C4×C5—64no—
209C22×C4×C5C22×D311yescharacteristic
210C22×Dic5—24no—
211C22×Dic5—24no—
212C22×Dic5—31no—
213C22×Dic5—38no—
214C22×Dic5—31no—
215C22×Dic5—32no—
216C22×Dic5—64no—
217C22×Dic5—64no—
218C22×Dic5C2×Dic318yescomplemented
219C22×Dic5C22×D311yescharacteristic
220C22×Dic5C22×D312yes—
221C22×Dic5C22×D311yescharacteristic
222C5×C4⋊C4—34no—
223C5×C22⋊C4—38no—
224C42×C5—34no—
225C22⋊Dic5—38no—
226C22⋊Dic5C2×Dic318yescomplemented
227C4⋊Dic5—34no—
228C4⋊Dic5C2×Dic314yescomplemented
229C4×Dic5—34no—
230C4×Dic5—34no—
231C4×Dic5—62no—
232C4×Dic5—64no—
233C4×Dic5—62no—
234C4×Dic5—64no—
235C4×Dic5—64no—
236C4×Dic5—62no—
237C4×Dic5C2×Dic314yescomplemented
238C2×C4×D4—31no—
239C2×C4×D4—51no—
240C2×C4×D4—151no—
241C22×C42—152no—
242C4×C4⋊C4—151no—
243C4×C4⋊C4—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—152no—
248C43—151no—
249C22×C3×C5—24no—
250C22×C3×C5—24no—
251C22×C3×C5—24no—
252C22×C3×C5—24no—
253C22×C3×C5—24no—
254C22×C3×C5—24no—
255C22×C3×C5C2×C4218yescomplemented
256C22×C3×C5C23×C411yescharacteristic
257C22×C3×C5C23×C411yescharacteristic
258C22×C3×C5C23×C411yescharacteristic
259C22×C3×C5C22×D411yescharacteristic
260C22×C3×C5C2×#4111yescharacteristic
261C22×C3×C5C2×#4111yescharacteristic
262C22×C3×C5C2×#4111yescharacteristic
263C3×C4×C5C2×C4214yescomplemented
264Dic15—24no—
265Dic15—22no—
266Dic15C4×D414yescomplemented
267C3×Dic5—24no—
268C3×Dic5—22no—
269C3×Dic5C4×D414yescomplemented
270C5×Dic3—24no—
271C5×Dic3—22no—
272C5×Dic3C4×D414yescomplemented
273C24×C3C22×D512yes—
274C2×C3×D4C4×D514yes—
275C2×C3×D4C4×D514yes—
276C2×C3×D4C2×Dic514yes—
277C22×C3×C4—51no—
278C22×C3×C4—58no—
279C22×C3×C4—51no—
280C22×C3×C4—52no—
281C22×C3×C4—104no—
282C22×C3×C4—104no—
283C22×C3×C4C22×D511yescharacteristic
284C22×Dic3—24no—
285C22×Dic3—24no—
286C22×Dic3—51no—
287C22×Dic3—58no—
288C22×Dic3—51no—
289C22×Dic3—52no—
290C22×Dic3—104no—
291C22×Dic3—104no—
292C22×Dic3C2×Dic518yescomplemented
293C22×Dic3C22×D511yescharacteristic
294C22×Dic3C22×D512yes—
295C22×Dic3C22×D511yescharacteristic
296C3×C4⋊C4—54no—
297C3×C22⋊C4—58no—
298C3×C42—54no—
299#217—58no—
300#217C2×Dic518yescomplemented
301C4⋊Dic3—54no—
302C4⋊Dic3C2×Dic514yescomplemented
303C4×Dic3—54no—
304C4×Dic3—54no—
305C4×Dic3—102no—
306C4×Dic3—104no—
307C4×Dic3—102no—
308C4×Dic3—104no—
309C4×Dic3—104no—
310C4×Dic3—102no—
311C4×Dic3C2×Dic514yescomplemented
312C23×C5—22no—
313C23×C5—22no—
314C23×C5—22no—
315C23×C5—22no—
316C23×C5C2×C4×D314yes—
317C23×C5C2×C4×D314yes—
318C23×C5C22×Dic314yes—
319C23×C5C23×D311yescharacteristic
320C5×D4C4×Dic3116yescomplemented
321C2×C4×C5—32no—
322C2×C4×C5—32no—
323C2×C4×C5—32no—
324C2×C4×C5—32no—
325C2×C4×C5—34no—
326C2×C4×C5—616no—
327C2×C4×C5—62no—
328C2×C4×C5—61no—
329C2×C4×C5—61no—
330C2×C4×C5—62no—
331C2×C4×C5C2×C4×D312yes—
332C2×C4×C5C2×C4×D312yes—
333C2×C4×C5C22×Dic312yes—
334C2×Dic5—22no—
335C2×Dic5—22no—
336C2×Dic5—21no—
337C2×Dic5—21no—
338C2×Dic5—216no—
339C2×Dic5—32no—
340C2×Dic5—32no—
341C2×Dic5—32no—
342C2×Dic5—32no—
343C2×Dic5—34no—
344C2×Dic5—616no—
345C2×Dic5—62no—
346C2×Dic5—61no—
347C2×Dic5—61no—
348C2×Dic5—62no—
349C2×Dic5D3×D412yes—
350C2×Dic5#23712yes—
351C2×Dic5C22×Dic312yes—
352C2×Dic5C22×Dic314yes—
353C2×Dic5C22×Dic312yes—
354C22×D4D3×D511yescharacteristic
355C23×C4—32no—
356C23×C4—52no—
357C23×C4—152no—
358C4×D4—38no—
359C4×D4—58no—
360C4×D4—158no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—51no—
363C2×C4⋊C4—151no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—52no—
366C2×C22⋊C4—152no—
367C2×C42—31no—
368C2×C42—51no—
369C2×C42—151no—
370C2×C42—151no—
371C2×C42—151no—
372C2×C42—151no—
373C2×C42—151no—
374C2×C42—152no—
375C2×C42—152no—
376C2×C42—152no—
377C2×C42—308no—
378#95—152no—
379#95—152no—
380#95—152no—
381C2×C3×C5—28no—
382C2×C3×C5C22×C4211yescharacteristic
383C2×C3×C5C2×C4×D411yescharacteristic
384C2×C3×C5C2×C4×D411yescharacteristic
385C2×C3×C5C2×C4×D411yescharacteristic
386C2×C3×C5C4×#4111yescharacteristic
387C2×C3×C5C4×#4111yescharacteristic
388C2×C3×C5C4×#4111yescharacteristic
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3C2×C4×D514yes—
394C23×C3C2×C4×D514yes—
395C23×C3C22×Dic514yes—
396C23×C3C23×D511yescharacteristic
397C3×D4C4×Dic5116yescomplemented
398C2×C3×C4—52no—
399C2×C3×C4—52no—
400C2×C3×C4—52no—
401C2×C3×C4—52no—
402C2×C3×C4—54no—
403C2×C3×C4—1016no—
404C2×C3×C4—102no—
405C2×C3×C4—101no—
406C2×C3×C4—101no—
407C2×C3×C4—102no—
408C2×C3×C4C2×C4×D512yes—
409C2×C3×C4C2×C4×D512yes—
410C2×C3×C4C22×Dic512yes—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—216no—
416C2×Dic3—52no—
417C2×Dic3—52no—
418C2×Dic3—52no—
419C2×Dic3—52no—
420C2×Dic3—54no—
421C2×Dic3—1016no—
422C2×Dic3—102no—
423C2×Dic3—101no—
424C2×Dic3—101no—
425C2×Dic3—102no—
426C2×Dic3D4×D512yes—
427C2×Dic3#71112yes—
428C2×Dic3C22×Dic512yes—
429C2×Dic3C22×Dic514yes—
430C2×Dic3C22×Dic512yes—
431C22×C5—24no—
432C22×C5—24no—
433C22×C5—24no—
434C22×C5—24no—
435C22×C5—24no—
436C22×C5—24no—
437C22×C5C2×C4×Dic318yescomplemented
438C22×C5C22×C4×D311yescharacteristic
439C22×C5C22×C4×D311yescharacteristic
440C22×C5C2×D3×D411yescharacteristic
441C22×C5C2×#23711yescharacteristic
442C22×C5D3×#4111yescharacteristic
443C22×C5D3×#4111yescharacteristic
444C22×C5C23×Dic311yescharacteristic
445C4×C5—34no—
446C4×C5—62no—
447C4×C5—64no—
448C4×C5C2×C4×Dic314yescomplemented
449Dic5—24no—
450Dic5—22no—
451Dic5—34no—
452Dic5—62no—
453Dic5—64no—
454Dic5D4×Dic314yesdirect product factor
455C24C2×D3×D512yes—
456C2×D4D5×Dic314yes—
457C2×D4D3×Dic514yes—
458C2×D4#120014yes—
459C22×C4—31no—
460C22×C4—38no—
461C22×C4—31no—
462C22×C4—32no—
463C22×C4—51no—
464C22×C4—58no—
465C22×C4—51no—
466C22×C4—52no—
467C22×C4—64no—
468C22×C4—64no—
469C22×C4—104no—
470C22×C4—104no—
471C22×C4—151no—
472C22×C4—158no—
473C22×C4—151no—
474C22×C4—152no—
475C22×C4—304no—
476C22×C4—304no—
477C22×C4C2×D3×D511yescharacteristic
478C4⋊C4—34no—
479C4⋊C4—54no—
480C4⋊C4—154no—
481C22⋊C4—38no—
482C22⋊C4—58no—
483C22⋊C4—158no—
484C42—34no—
485C42—54no—
486C42—154no—
487C42—154no—
488C42—304no—
489C42—302no—
490C42—304no—
491C42—302no—
492C42—304no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—24no—
498C22×C3—24no—
499C22×C3—24no—
500C22×C3—24no—
501C22×C3C2×C4×Dic518yescomplemented
502C22×C3C22×C4×D511yescharacteristic
503C22×C3C22×C4×D511yescharacteristic
504C22×C3C2×D4×D511yescharacteristic
505C22×C3C2×#71111yescharacteristic
506C22×C3D5×#4111yescharacteristic
507C22×C3D5×#4111yescharacteristic
508C22×C3C23×Dic511yescharacteristic
509C3×C4—54no—
510C3×C4—102no—
511C3×C4—104no—
512C3×C4C2×C4×Dic514yescomplemented
513Dic3—24no—
514Dic3—22no—
515Dic3—54no—
516Dic3—102no—
517Dic3—104no—
518Dic3D4×Dic514yesdirect product factor
519C2×C5—28no—
520C2×C5C4×#23711yescharacteristic
521C2×C5C4×#23711yescharacteristic
522C2×C5C4×D3×D411yescharacteristic
523C2×C5C4×D3×D411yescharacteristic
524C2×C5C22×C4×Dic311yescharacteristic
525C2×C5C2×D4×Dic311yescharacteristic
526C2×C5Dic3×#4111yescharacteristic
527C23—22no—
528C23—22no—
529C23—22no—
530C23—22no—
531C23C2×D5×Dic314yes—
532C23C2×D3×Dic514yes—
533C23C2×#120014yes—
534C23C22×D3×D511yescharacteristic
535D4Dic3×Dic5116yesdirect product factor
536C2×C4—32no—
537C2×C4—32no—
538C2×C4—32no—
539C2×C4—32no—
540C2×C4—34no—
541C2×C4—52no—
542C2×C4—52no—
543C2×C4—52no—
544C2×C4—52no—
545C2×C4—54no—
546C2×C4—616no—
547C2×C4—62no—
548C2×C4—61no—
549C2×C4—62no—
550C2×C4—61no—
551C2×C4—1016no—
552C2×C4—102no—
553C2×C4—102no—
554C2×C4—101no—
555C2×C4—101no—
556C2×C4—152no—
557C2×C4—152no—
558C2×C4—152no—
559C2×C4—152no—
560C2×C4—154no—
561C2×C4—3016no—
562C2×C4—302no—
563C2×C4—301no—
564C2×C4—301no—
565C2×C4—302no—
566C2×C4C2×D5×Dic312yes—
567C2×C4C2×D3×Dic512yes—
568C2×C4C2×#120012yes—
569C2×C3—28no—
570C2×C3C4×#71111yescharacteristic
571C2×C3C4×#71111yescharacteristic
572C2×C3C4×D4×D511yescharacteristic
573C2×C3C4×D4×D511yescharacteristic
574C2×C3C22×C4×Dic511yescharacteristic
575C2×C3C2×D4×Dic511yescharacteristic
576C2×C3#41×Dic511yescharacteristic
577C5C4×D4×Dic311yescharacteristic, complemented, Sylow
578C22—24no—
579C22—24no—
580C22—24no—
581C22—24no—
582C22—24no—
583C22—24no—
584C22C2×Dic3×Dic518yescomplemented
585C22D3×D4×D511yescharacteristic
586C22D5×#23711yescharacteristic
587C22D3×#71111yescharacteristic
588C22#9202411yescharacteristic
589C22C22×D5×Dic311yescharacteristic
590C22C22×D3×Dic511yescharacteristic
591C22C22×#120011yescharacteristic
592C4—34no—
593C4—54no—
594C4—64no—
595C4—62no—
596C4—104no—
597C4—102no—
598C4—154no—
599C4—304no—
600C4—302no—
601C4C2×Dic3×Dic514yescomplemented
602C3C4×D4×Dic511yescharacteristic, complemented, Sylow
603C2—28no—
604C2D4×D5×Dic311yescharacteristic
605C2D3×D4×Dic511yescharacteristic
606C2D4×#120011yescharacteristic
607C2Dic5×#23711yescharacteristic
608C2#1175485311yescharacteristic
609C2Dic3×#71111yescharacteristic
610C2C22×Dic3×Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC2×C3×C5C22×C42
Fitting, prime radicalC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
4. C22×Dic3×Dic5C2semidirect
5. #11749487C2semidirect
6. Dic3×C22⋊Dic5C2semidirect
7. Dic5×#217C2semidirect
8. #11748699C2semidirect
9. Dic3×C4⋊Dic5C2semidirect
10. Dic5×C4⋊Dic3C2semidirect
11. C4×Dic3×Dic5C2semidirect
18. D4×Dic15C4semidirect
22. C5×D4×Dic3C4semidirect
26. C3×D4×Dic5C4semidirect
59. C22×Dic15C2×C4semidirect
65. C22×C5×Dic3C2×C4semidirect
71. C22×C3×Dic5C2×C4semidirect
75. #6719C2×C4semidirect
76. C4⋊Dic15C2×C4semidirect
77. C4×Dic15C2×C4semidirect
78. C5×#217C2×C4semidirect
79. C5×C4⋊Dic3C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
81. C3×C22⋊Dic5C2×C4semidirect
82. C3×C4⋊Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
90. Dic3×Dic5D4direct (N × H)
113. D4×Dic5Dic3direct (N × H)
138. C3×C5×D4C42semidirect
183. D4×Dic3Dic5direct (N × H)
218. C22×Dic5C2×Dic3semidirect
226. C22⋊Dic5C2×Dic3semidirect
228. C4⋊Dic5C2×Dic3semidirect
237. C4×Dic5C2×Dic3semidirect
255. C22×C3×C5C2×C42semidirect
263. C3×C4×C5C2×C42semidirect
266. Dic15C4×D4semidirect
269. C3×Dic5C4×D4semidirect
272. C5×Dic3C4×D4semidirect
292. C22×Dic3C2×Dic5semidirect
300. #217C2×Dic5semidirect
302. C4⋊Dic3C2×Dic5semidirect
311. C4×Dic3C2×Dic5semidirect
320. C5×D4C4×Dic3semidirect
397. C3×D4C4×Dic5semidirect
437. C22×C5C2×C4×Dic3semidirect
448. C4×C5C2×C4×Dic3semidirect
454. Dic5D4×Dic3direct (N × H)
494. C3×C5C42×D4semidirect
501. C22×C3C2×C4×Dic5semidirect
512. C3×C4C2×C4×Dic5semidirect
518. Dic3D4×Dic5direct (N × H)
535. D4Dic3×Dic5direct (N × H)
577. C5C4×D4×Dic3semidirect
584. C22C2×Dic3×Dic5semidirect
601. C4C2×Dic3×Dic5semidirect
602. C3C4×D4×Dic5semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic152
C2×C5×D4×Dic32
C2×C3×D4×Dic52
C22×Dic3×Dic52
#117494872
Dic3×C22⋊Dic52
Dic5×#2172
#117486992
Dic3×C4⋊Dic52
Dic5×C4⋊Dic32
C4×Dic3×Dic52
C4×D4×Dic53
C4×D4×Dic35