Finite Group Databasebeta

← D4×Dic3⋊Dic5 #14327056

Subgroups — D4×Dic3⋊Dic5 #14327056

Order 1920.

1552 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×D4×Dic15C211yesmaximal, characteristic
2C2×C5×D4×Dic3C211yesmaximal, characteristic
3C2×C3×D4×Dic5C211yesmaximal, characteristic
4C22×Dic3⋊Dic5C212yesmaximal, complemented
5#11749517C212yesmaximal, complemented
6#11749513C212yesmaximal, complemented
7#11749509C212yesmaximal, complemented
8#11748868C211yesmaximal, characteristic, complemented
9#11748861C211yesmaximal, characteristic, complemented
10#11748842C211yesmaximal, characteristic, complemented
11C4×Dic3⋊Dic5C211yesmaximal, characteristic, complemented
12D4×C4⋊Dic5—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C23×C5×Dic3C2212yes—
16C23×C3×Dic5C2212yes—
17C2×#6719C2212yes—
18D4×Dic15—24no—
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×Dic5—24no—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×Dic3⋊Dic5—28no—
30C2×Dic3⋊Dic5C2212yes—
31C2×Dic3⋊Dic5C2212yes—
32C2×Dic3⋊Dic5C2212yes—
33C2×Dic3⋊Dic5C2211yescharacteristic
34C2×Dic3⋊Dic5C2212yes—
35C2×Dic3⋊Dic5C2211yescharacteristic
36#90994C2212yes—
37#90994C2211yescharacteristic
38#90994C2212yes—
39#90994C2211yescharacteristic
40D4×Dic3⋊C4—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×D4×Dic5—31no—
43C2×D4×Dic5D311yescharacteristic
44C22×C4⋊Dic5—32no—
45#65501—32no—
46#65274—31no—
47#65274—31no—
48#65239—32no—
49#65239—32no—
50#65224—31no—
51C4×C4⋊Dic5—31no—
52C24×C3×C5C2312yes—
53C2×C3×C5×D4C2×C414yes—
54C2×C3×C5×D4D414yes—
55C2×C3×C5×D4Q814yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15—24no—
58C22×Dic15—24no—
59C22×Dic15—42no—
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×Dic5—42no—
72C22×C3×Dic5C2311yescharacteristic
73C22×C3×Dic5C2312yes—
74C22×C3×Dic5C2311yescharacteristic
75#6719—24no—
76C4⋊Dic15—22no—
77C4×Dic15—22no—
78C5×#217C2×C418yescomplemented
79C5×C4⋊Dic3C2×C414yescomplemented
80C4×C5×Dic3C2×C414yescomplemented
81C3×C22⋊Dic5—24no—
82C3×C4⋊Dic5—22no—
83C3×C4×Dic5—22no—
84Dic3⋊Dic5—24no—
85Dic3⋊Dic5—24no—
86Dic3⋊Dic5—22no—
87Dic3⋊Dic5—24no—
88Dic3⋊Dic5—42no—
89Dic3⋊Dic5D414yesdirect product factor
90C2×C3×C4×D4—51no—
91C2×D4×Dic3—51no—
92C2×D4×Dic3D511yescharacteristic
93C22×Dic3⋊C4—52no—
94#5210—52no—
95#4975—51no—
96#4972—51no—
97#4946—52no—
98#4942—52no—
99C4×Dic3⋊C4—51no—
100#4928—51no—
101C22×C5×D4C2×D311yescharacteristic
102C23×C4×C5—32no—
103C23×Dic5—32no—
104C23×Dic5C2×D312yes—
105C4×C5×D4—38no—
106C2×C5×C4⋊C4—31no—
107C2×C5×C22⋊C4—32no—
108C2×C42×C5—31no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5C2×D312yes—
111D4×Dic5—24no—
112D4×Dic5—64no—
113C2×C4⋊Dic5—31no—
114C2×C4⋊Dic5—31no—
115C2×C4⋊Dic5—32no—
116C2×C4⋊Dic5—32no—
117C2×C4⋊Dic5—32no—
118C2×C4⋊Dic5—31no—
119C2×C4⋊Dic5—32no—
120C2×C4⋊Dic5—68no—
121C2×C4⋊Dic5C2×D311yescharacteristic
122C2×C4×Dic5—31no—
123C2×C4×Dic5C2×D311yescharacteristic
124#3963—31no—
125#3963—31no—
126#3963—32no—
127#3963—32no—
128D4×C4⋊C4—151noSylow
129C23×C3×C5—22no—
130C23×C3×C5—22no—
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5C22×C414yes—
134C23×C3×C5C2×D414yes—
135C23×C3×C5C2×Q814yes—
136C23×C3×C5C2411yescharacteristic
137C3×C5×D4C4⋊C4116yescomplemented
138C2×C3×C4×C5C22×C412yes—
139C2×C3×C4×C5C2×D412yes—
140C2×C3×C4×C5C2×Q812yes—
141C2×Dic15—21no—
142C2×Dic15—21no—
143C2×Dic15—22no—
144C2×Dic15—21no—
145C2×Dic15—22no—
146C2×Dic15—21no—
147C2×Dic15—22no—
148C2×Dic15—21no—
149C2×Dic15—48no—
150C2×Dic15C2×D412yes—
151C2×C5×Dic3—22no—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3—216no—
156C2×C5×Dic3C22×C412yes—
157C2×C5×Dic3C22×C414yes—
158C2×C5×Dic3C22×C412yes—
159C2×C5×Dic3C2×D412yes—
160C2×C5×Dic3#4112yes—
161C2×C3×Dic5—21no—
162C2×C3×Dic5—21no—
163C2×C3×Dic5—22no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—21no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—21no—
169C2×C3×Dic5—48no—
170C2×C3×Dic5C2×D412yes—
171C22×C3×D4C2×D511yescharacteristic
172C23×C3×C4—52no—
173C23×Dic3—52no—
174C23×Dic3C2×D512yes—
175C3×C4×D4—104no—
176C2×C3×C4⋊C4—51no—
177C2×C3×C22⋊C4—52no—
178C2×C3×C42—51no—
179C2×#217—52no—
180C2×#217C2×D512yes—
181D4×Dic3—104no—
182D4×Dic3Dic518yescomplemented
183C2×C4⋊Dic3—51no—
184C2×C4⋊Dic3C2×D511yescharacteristic
185C2×Dic3⋊C4—51no—
186C2×Dic3⋊C4—52no—
187C2×Dic3⋊C4—51no—
188C2×Dic3⋊C4—52no—
189C2×Dic3⋊C4—52no—
190C2×Dic3⋊C4—52no—
191C2×Dic3⋊C4—108no—
192C2×C4×Dic3—51no—
193C2×C4×Dic3C2×D511yescharacteristic
194C3⋊#95—52no—
195C3⋊#95—51no—
196C3⋊#95—51no—
197C3⋊#95—52no—
198C24×C5C22×D312yes—
199C2×C5×D4Dic614yes—
200C2×C5×D4C4×D314yes—
201C2×C5×D4#6714yes—
202C22×C4×C5—31no—
203C22×C4×C5—38no—
204C22×C4×C5—31no—
205C22×C4×C5—32no—
206C22×C4×C5—64no—
207C22×C4×C5—64no—
208C22×C4×C5C22×D311yescharacteristic
209C22×Dic5—24no—
210C22×Dic5—24no—
211C22×Dic5—31no—
212C22×Dic5—31no—
213C22×Dic5—32no—
214C22×Dic5—42no—
215C22×Dic5—64no—
216C22×Dic5—64no—
217C22×Dic5—122no—
218C22×Dic5C22×D311yescharacteristic
219C22×Dic5C22×D312yes—
220C22×Dic5C22×D311yescharacteristic
221C5×C4⋊C4—34no—
222C5×C22⋊C4—38no—
223C42×C5—34no—
224C22⋊Dic5—24no—
225C22⋊Dic5—64no—
226C4⋊Dic5—22no—
227C4⋊Dic5—34no—
228C4⋊Dic5—64no—
229C4⋊Dic5—62no—
230C4⋊Dic5—64no—
231C4⋊Dic5—62no—
232C4⋊Dic5—64no—
233C4⋊Dic5—122no—
234C4×Dic5—22no—
235C4×Dic5—62no—
236C2×C4×D4—31no—
237C2×C4×D4—51no—
238C2×C4×D4—151no—
239C22×C4⋊C4—152no—
240#389—151no—
241#389—151no—
242#385—152no—
243#385—152no—
244#384—151no—
245#380—152no—
246C4×C4⋊C4—151no—
247C22×C3×C5—24no—
248C22×C3×C5—24no—
249C22×C3×C5—24no—
250C22×C3×C5—24no—
251C22×C3×C5—24no—
252C22×C3×C5—24no—
253C22×C3×C5C2×C4⋊C418yescomplemented
254C22×C3×C5C23×C411yescharacteristic
255C22×C3×C5C22×D411yescharacteristic
256C22×C3×C5C22×D411yescharacteristic
257C22×C3×C5C22×Q811yescharacteristic
258C22×C3×C5C2×#4111yescharacteristic
259C22×C3×C5H(5,𝔽2)11yescharacteristic
260C22×C3×C52−1+411yescharacteristic
261C3×C4×C5C2×C4⋊C414yescomplemented
262Dic15—22no—
263Dic15—42no—
264Dic15—41no—
265C3×Dic5—22no—
266C3×Dic5—42no—
267C3×Dic5—41no—
268C5×Dic3—24no—
269C5×Dic3—22no—
270C5×Dic3C4×D414yescomplemented
271C24×C3C22×D512yes—
272C2×C3×D4Dic1014yes—
273C2×C3×D4D2014yes—
274C2×C3×D4C2×Dic514yes—
275C22×C3×C4—51no—
276C22×C3×C4—51no—
277C22×C3×C4—52no—
278C22×C3×C4—104no—
279C22×C3×C4—104no—
280C22×C3×C4—202no—
281C22×C3×C4C22×D511yescharacteristic
282C22×Dic3—24no—
283C22×Dic3—24no—
284C22×Dic3—51no—
285C22×Dic3—51no—
286C22×Dic3—52no—
287C22×Dic3—104no—
288C22×Dic3—104no—
289C22×Dic3—202no—
290C22×Dic3C2×Dic518yescomplemented
291C22×Dic3C22×D511yescharacteristic
292C22×Dic3C22×D512yes—
293C22×Dic3C22×D511yescharacteristic
294C3×C4⋊C4—102no—
295C3×C22⋊C4—104no—
296C3×C42—102no—
297#217—104no—
298#217C2×Dic518yescomplemented
299C4⋊Dic3—102no—
300C4⋊Dic3C2×Dic514yescomplemented
301Dic3⋊C4—54no—
302Dic3⋊C4—104no—
303Dic3⋊C4—104no—
304Dic3⋊C4—104no—
305Dic3⋊C4—102no—
306Dic3⋊C4—202no—
307C4×Dic3—102no—
308C4×Dic3C2×Dic514yescomplemented
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—22no—
312C23×C5—22no—
313C23×C5C2×Dic614yes—
314C23×C5C2×C4×D314yes—
315C23×C5C2×#6714yes—
316C23×C5C23×D311yescharacteristic
317C5×D4Dic3⋊C4116yescomplemented
318C2×C4×C5—32no—
319C2×C4×C5—32no—
320C2×C4×C5—32no—
321C2×C4×C5—32no—
322C2×C4×C5—34no—
323C2×C4×C5—616no—
324C2×C4×C5—62no—
325C2×C4×C5—61no—
326C2×C4×C5—62no—
327C2×C4×C5—61no—
328C2×C4×C5C2×Dic612yes—
329C2×C4×C5C2×C4×D312yes—
330C2×C4×C5C2×#6712yes—
331C2×Dic5—21no—
332C2×Dic5—21no—
333C2×Dic5—22no—
334C2×Dic5—22no—
335C2×Dic5—21no—
336C2×Dic5—21no—
337C2×Dic5—21no—
338C2×Dic5—22no—
339C2×Dic5—32no—
340C2×Dic5—48no—
341C2×Dic5—61no—
342C2×Dic5—61no—
343C2×Dic5—62no—
344C2×Dic5—62no—
345C2×Dic5—61no—
346C2×Dic5—61no—
347C2×Dic5—61no—
348C2×Dic5—62no—
349C2×Dic5—128no—
350C2×Dic5D3×D412yes—
351C22×D4D3×D511yescharacteristic
352C23×C4—32no—
353C23×C4—52no—
354C23×C4—152no—
355C4×D4—38no—
356C4×D4—104no—
357C4×D4—304no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—51no—
360C2×C4⋊C4—151no—
361C2×C4⋊C4—152no—
362C2×C4⋊C4—152no—
363C2×C4⋊C4—152no—
364C2×C4⋊C4—151no—
365C2×C4⋊C4—151no—
366C2×C4⋊C4—152no—
367C2×C4⋊C4—308no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—52no—
370C2×C22⋊C4—152no—
371C2×C42—31no—
372C2×C42—51no—
373C2×C42—151no—
374#95—151no—
375#95—151no—
376#95—152no—
377#95—152no—
378C2×C3×C5—28no—
379C2×C3×C5C22×C4⋊C411yescharacteristic
380C2×C3×C5C2×C4×D411yescharacteristic
381C2×C3×C5#52011yescharacteristic
382C2×C3×C5D4211yescharacteristic
383C2×C3×C5#54711yescharacteristic
384C2×C3×C5D4×Q811yescharacteristic
385C2×C3×C5#55411yescharacteristic
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3C2×Dic1014yes—
391C23×C3C2×D2014yes—
392C23×C3C22×Dic514yes—
393C23×C3C23×D511yescharacteristic
394C3×D4C4⋊Dic5116yescomplemented
395C2×C3×C4—52no—
396C2×C3×C4—101no—
397C2×C3×C4—101no—
398C2×C3×C4—101no—
399C2×C3×C4—102no—
400C2×C3×C4—102no—
401C2×C3×C4—101no—
402C2×C3×C4—102no—
403C2×C3×C4—101no—
404C2×C3×C4—208no—
405C2×C3×C4C2×Dic1012yes—
406C2×C3×C4C2×D2012yes—
407C2×C3×C4C22×Dic512yes—
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—216no—
413C2×Dic3—52no—
414C2×Dic3—101no—
415C2×Dic3—101no—
416C2×Dic3—101no—
417C2×Dic3—102no—
418C2×Dic3—102no—
419C2×Dic3—101no—
420C2×Dic3—102no—
421C2×Dic3—101no—
422C2×Dic3—208no—
423C2×Dic3D4×D512yes—
424C2×Dic3#71112yes—
425C2×Dic3C22×Dic512yes—
426C2×Dic3C22×Dic514yes—
427C2×Dic3C22×Dic512yes—
428C22×C5—24no—
429C22×C5—24no—
430C22×C5—24no—
431C22×C5—24no—
432C22×C5—24no—
433C22×C5—24no—
434C22×C5C2×Dic3⋊C418yescomplemented
435C22×C5C22×Dic611yescharacteristic
436C22×C5C22×C4×D311yescharacteristic
437C22×C5C2×D3×D411yescharacteristic
438C22×C5#100411yescharacteristic
439C22×C5D3×#4111yescharacteristic
440C22×C5#101011yescharacteristic
441C22×C5C22×#6711yescharacteristic
442C4×C5—34no—
443C4×C5—64no—
444C4×C5—62no—
445C4×C5C2×Dic3⋊C414yescomplemented
446Dic5—22no—
447Dic5—42no—
448Dic5—41no—
449Dic5—62no—
450Dic5—122no—
451Dic5—121no—
452C24C2×D3×D512yes—
453C2×D4D3×Dic514yes—
454C2×D4#120214yes—
455C2×D4#120414yes—
456C22×C4—31no—
457C22×C4—38no—
458C22×C4—31no—
459C22×C4—32no—
460C22×C4—51no—
461C22×C4—51no—
462C22×C4—52no—
463C22×C4—64no—
464C22×C4—64no—
465C22×C4—104no—
466C22×C4—104no—
467C22×C4—151no—
468C22×C4—151no—
469C22×C4—152no—
470C22×C4—202no—
471C22×C4—304no—
472C22×C4—304no—
473C22×C4—602no—
474C22×C4C2×D3×D511yescharacteristic
475C4⋊C4—34no—
476C4⋊C4—102no—
477C4⋊C4—154no—
478C4⋊C4—304no—
479C4⋊C4—302no—
480C4⋊C4—304no—
481C4⋊C4—304no—
482C4⋊C4—302no—
483C4⋊C4—602no—
484C22⋊C4—38no—
485C22⋊C4—104no—
486C22⋊C4—304no—
487C42—34no—
488C42—102no—
489C42—302no—
490C3×C5D4×C4⋊C411yescharacteristic, complemented, Hall
491C22×C3—24no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3C2×C4⋊Dic518yescomplemented
498C22×C3C22×Dic1011yescharacteristic
499C22×C3C22×D2011yescharacteristic
500C22×C3C2×D4×D511yescharacteristic
501C22×C3C2×#71111yescharacteristic
502C22×C3#414911yescharacteristic
503C22×C3#415011yescharacteristic
504C22×C3C23×Dic511yescharacteristic
505C3×C4—102no—
506C3×C4—202no—
507C3×C4—201no—
508C3×C4C2×C4⋊Dic514yescomplemented
509Dic3—24no—
510Dic3—22no—
511Dic3—102no—
512Dic3—202no—
513Dic3—201no—
514Dic3D4×Dic514yescomplemented
515C2×C5—28no—
516C2×C5D4×Dic611yescharacteristic
517C2×C5#553911yescharacteristic
518C2×C5C4×D3×D411yescharacteristic
519C2×C5#554611yescharacteristic
520C2×C5C22×Dic3⋊C411yescharacteristic
521C2×C5D4×#6711yescharacteristic
522C2×C5#582411yescharacteristic
523C23—22no—
524C23—22no—
525C23—22no—
526C23—22no—
527C23C2×D3×Dic514yes—
528C23C2×#120214yes—
529C23C2×#120414yes—
530C23C22×D3×D511yescharacteristic
531D4Dic3⋊Dic5116yesdirect product factor
532C2×C4—32no—
533C2×C4—32no—
534C2×C4—32no—
535C2×C4—32no—
536C2×C4—34no—
537C2×C4—52no—
538C2×C4—616no—
539C2×C4—61no—
540C2×C4—62no—
541C2×C4—62no—
542C2×C4—61no—
543C2×C4—101no—
544C2×C4—101no—
545C2×C4—101no—
546C2×C4—102no—
547C2×C4—101no—
548C2×C4—102no—
549C2×C4—101no—
550C2×C4—102no—
551C2×C4—152no—
552C2×C4—208no—
553C2×C4—301no—
554C2×C4—301no—
555C2×C4—301no—
556C2×C4—302no—
557C2×C4—301no—
558C2×C4—302no—
559C2×C4—301no—
560C2×C4—302no—
561C2×C4—608no—
562C2×C4C2×D3×Dic512yes—
563C2×C4C2×#120212yes—
564C2×C4C2×#120412yes—
565C2×C3—28no—
566C2×C3D4×Dic1011yescharacteristic
567C2×C3#6587711yescharacteristic
568C2×C3D4×D2011yescharacteristic
569C2×C3#6588911yescharacteristic
570C2×C3C22×C4⋊Dic511yescharacteristic
571C2×C3C2×D4×Dic511yescharacteristic
572C2×C3#6616111yescharacteristic
573C5D4×Dic3⋊C411yescharacteristic, complemented, Sylow
574C22—24no—
575C22—24no—
576C22—24no—
577C22—24no—
578C22—24no—
579C22—24no—
580C22C2×Dic3⋊Dic518yescomplemented
581C22#9202011yescharacteristic
582C22D3×D4×D511yescharacteristic
583C22D3×#71111yescharacteristic
584C22#9202611yescharacteristic
585C22C22×D3×Dic511yescharacteristic
586C22C22×#120211yescharacteristic
587C22C22×#120411yescharacteristic
588C4—34no—
589C4—64no—
590C4—62no—
591C4—102no—
592C4—202no—
593C4—201no—
594C4—302no—
595C4—602no—
596C4—601no—
597C4C2×Dic3⋊Dic514yescomplemented
598C3D4×C4⋊Dic511yescharacteristic, complemented, Sylow
599C2—28no—
600C2D3×D4×Dic511yescharacteristic
601C2#1175492011yescharacteristic
602C2D4×#120211yescharacteristic
603C2#1175497211yescharacteristic
604C2D4×#120411yescharacteristic
605C2#1175501211yescharacteristic
606C2C22×Dic3⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
Fitting, prime radicalC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5D4×C4⋊C4
LCSG ▷ C22×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. #11749517C2semidirect
6. #11749513C2semidirect
7. #11749509C2semidirect
8. #11748868C2semidirect
9. #11748861C2semidirect
10. #11748842C2semidirect
11. C4×Dic3⋊Dic5C2semidirect
22. C5×D4×Dic3C4semidirect
65. C22×C5×Dic3C2×C4semidirect
78. C5×#217C2×C4semidirect
79. C5×C4⋊Dic3C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
89. Dic3⋊Dic5D4direct (N × H)
137. C3×C5×D4C4⋊C4semidirect
182. D4×Dic3Dic5semidirect
253. C22×C3×C5C2×C4⋊C4semidirect
261. C3×C4×C5C2×C4⋊C4semidirect
270. C5×Dic3C4×D4semidirect
290. C22×Dic3C2×Dic5semidirect
298. #217C2×Dic5semidirect
300. C4⋊Dic3C2×Dic5semidirect
308. C4×Dic3C2×Dic5semidirect
317. C5×D4Dic3⋊C4semidirect
394. C3×D4C4⋊Dic5semidirect
434. C22×C5C2×Dic3⋊C4semidirect
445. C4×C5C2×Dic3⋊C4semidirect
490. C3×C5D4×C4⋊C4semidirect
497. C22×C3C2×C4⋊Dic5semidirect
508. C3×C4C2×C4⋊Dic5semidirect
514. Dic3D4×Dic5semidirect
531. D4Dic3⋊Dic5direct (N × H)
573. C5D4×Dic3⋊C4semidirect
580. C22C2×Dic3⋊Dic5semidirect
597. C4C2×Dic3⋊Dic5semidirect
598. C3D4×C4⋊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
#117495172
#117495132
#117495092
#117488682
#117488612
#117488422
C4×Dic3⋊Dic52
D4×C4⋊Dic53
D4×Dic3⋊C45