Finite Group Databasebeta

← Dic5×#893 #14319572

Subgroups — Dic5×#893 #14319572

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×C5×#893C211yesmaximal, characteristic
2C2×#91435C211yesmaximal, characteristic
3C2×Dic5×D12C211yesmaximal, characteristic
4C2×C4×D3×Dic5C212yesmaximal, complemented
5C4⋊C4×Dic15C211yesmaximal, characteristic, complemented
6C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
7#11748886C212yesmaximal, complemented
8Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
9#11748719C212yesmaximal, complemented
10Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
11C4×Dic3×Dic5C211yesmaximal, characteristic, complemented
12C4×D4×Dic5—31nomaximal, Hall
13C22×C5×D12C2211yescharacteristic
14C22×C4×C5×D3C2212yes—
15C22×D3×Dic5C2212yes—
16C22×D3×Dic5C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4×Dic15C2212yes—
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×(C2×D3)⋊C4C2212yes—
22C2×C4×C5×Dic3C2211yescharacteristic
23C5×#893C418yescomplemented
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×C4×Dic5C2212yes—
26C2×C3×C4×Dic5C2211yescharacteristic
27C2×(C2×D3)⋊Dic5C2212yes—
28C2×(C2×D3)⋊Dic5C2212yes—
29C2×Dic3×Dic5C2211yescharacteristic
30C2×Dic3×Dic5C2211yescharacteristic
31C2×Dic3×Dic5C2211yescharacteristic
32C2×Dic3×Dic5C2212yes—
33C2×Dic3×Dic5C2211yescharacteristic
34#91435C418yescomplemented
35Dic5×D12C418yescomplemented
36C4×D3×Dic5—28no—
37#91115C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40C4×#893—51nomaximal, Hall
41C2×C4×C5×D4—31no—
42C2×D4×Dic5—31no—
43C2×D4×Dic5—31no—
44C22×C4×Dic5—32no—
45C4×C22⋊Dic5—32no—
46C4⋊C4×Dic5—31no—
47C4⋊C4×Dic5D311yescharacteristic, complemented
48C22⋊C4×Dic5—32no—
49C22⋊C4×Dic5—32no—
50C4×C4⋊Dic5—31no—
51C42×Dic5—31no—
52C23×C5×D3C2312yes—
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×Dic15C2312yes—
56C22×Dic15C2311yescharacteristic
57C22×Dic15C2311yescharacteristic
58C22×C5×Dic3C2311yescharacteristic
59C22×C5×Dic3C2311yescharacteristic
60C2×C5×D12C2×C414yes—
61C2×C5×D12C2×C414yes—
62C2×C5×D12C2×C414yes—
63C2×C4×C5×D3—24no—
64C2×C4×C5×D3—24no—
65C2×C4×C5×D3C2×C418yescomplemented
66C22×C3×Dic5C2312yes—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2311yescharacteristic
69C2×D3×Dic5—24no—
70C2×D3×Dic5—24no—
71C2×D3×Dic5—24no—
72C2×D3×Dic5—24no—
73C2×D3×Dic5C2×C418yescomplemented
74C2×D3×Dic5C2×C418yescomplemented
75C3×C5×C4⋊C4C2×C414yescomplemented
76C4⋊Dic15C2×C414yescomplemented
77C4×Dic15—24no—
78C4×Dic15C2×C414yescomplemented
79C5×(C2×D3)⋊C4C2×C418yescomplemented
80C4×C5×Dic3C2×C414yescomplemented
81C3×C4⋊Dic5C2×C414yescomplemented
82C3×C4×Dic5—24no—
83C3×C4×Dic5C2×C414yescomplemented
84(C2×D3)⋊Dic5C2×C418yescomplemented
85(C2×D3)⋊Dic5C2×C418yescomplemented
86Dic3×Dic5—22no—
87Dic3×Dic5—24no—
88Dic3×Dic5—22no—
89Dic3×Dic5—22no—
90Dic3×Dic5D414yescomplemented
91C2×#893—51no—
92C2×#893D511yescharacteristic
93C2×C4×D12—51no—
94C2×C42×D3—52no—
95C3×C4×C4⋊C4—51no—
96Dic3×C4⋊C4—51no—
97Dic3×C4⋊C4—51no—
98C4×(C2×D3)⋊C4—52no—
99C42×Dic3—51no—
100#4666—52no—
101#4666—52no—
102C22×C5×D4—31no—
103C23×C4×C5—32no—
104C23×Dic5—32no—
105C23×Dic5—32no—
106C4×C5×D4—38no—
107C2×C5×C4⋊C4C2×D311yescharacteristic
108C2×C5×C22⋊C4—32no—
109C2×C42×C5—31no—
110C2×C22⋊Dic5—32no—
111C2×C22⋊Dic5—32no—
112D4×Dic5—38no—
113D4×Dic5—38no—
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—31no—
121C2×C4×Dic5—31no—
122C2×C4×Dic5—31no—
123C2×C4×Dic5—68no—
124C2×C4×Dic5C2×D312yes—
125C2×C4×Dic5C2×D311yescharacteristic
126#3963—32no—
127#3963—32no—
128#3963C2×D312yes—
129C42×D4—151noSylow
130C23×C3×C5C2411yescharacteristic
131C22×C5×D3—22no—
132C22×C5×D3—22no—
133C22×C5×D3—22no—
134C22×C5×D3—22no—
135C22×C5×D3C22×C414yes—
136C22×C5×D3C22×C414yes—
137C22×C5×D3C22×C414yes—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5C22×C414yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C412yes—
143C2×C3×C4×C5C22×C412yes—
144C2×Dic15—22no—
145C2×Dic15—21no—
146C2×Dic15—21no—
147C2×Dic15—22no—
148C2×Dic15C22×C412yes—
149C2×Dic15C22×C414yes—
150C2×Dic15C22×C412yes—
151C2×Dic15C2×D412yes—
152C2×Dic15#4112yes—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3C22×C412yes—
156C2×C5×Dic3C22×C412yes—
157C2×C5×Dic3C2×D412yes—
158C2×C5×Dic3#4112yes—
159C5×D12C42116yescomplemented
160C4×C5×D3—216no—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—21no—
163C2×C3×Dic5—21no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5C22×C412yes—
166C2×C3×Dic5C22×C414yes—
167C2×C3×Dic5C22×C412yes—
168C2×C3×Dic5C2×D412yes—
169C2×C3×Dic5#4112yes—
170D3×Dic5—216no—
171D3×Dic5—216no—
172C22×D12C2×D511yescharacteristic
173C22×C4×D3—52no—
174C22×C4×D3—52no—
175C22×C4×D3C2×D512yes—
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4C2×D511yescharacteristic
178C2×C3×C42—51no—
179C2×C3×C42—52no—
180C2×(C2×D3)⋊C4—52no—
181C2×(C2×D3)⋊C4—52no—
182C2×(C2×D3)⋊C4C2×D512yes—
183C2×C4⋊Dic3—51no—
184C2×C4×Dic3—51no—
185C2×C4×Dic3—51no—
186C2×C4×Dic3—52no—
187C2×C4×Dic3—51no—
188C2×C4×Dic3—51no—
189C2×C4×Dic3—52no—
190C2×C4×Dic3—51no—
191C2×C4×Dic3C2×D511yescharacteristic
192#893—58no—
193#893Dic518yesdirect product factor
194C4×D12—58no—
195C42×D3—108no—
196C3×#95—52no—
197C3⋊#95—52no—
198C3⋊#95—52no—
199C24×C5—32no—
200C2×C5×D4—34no—
201C2×C5×D4—34no—
202C2×C5×D4—34no—
203C22×C4×C5—31no—
204C22×C4×C5—31no—
205C22×C4×C5—38no—
206C22×C4×C5—64no—
207C22×C4×C5—64no—
208C22×C4×C5C22×D312yes—
209C22×C4×C5C22×D311yescharacteristic
210C22×Dic5—31no—
211C22×Dic5—31no—
212C22×Dic5—32no—
213C22×Dic5—38no—
214C22×Dic5—38no—
215C22×Dic5—64no—
216C22×Dic5—64no—
217C22×Dic5—64no—
218C22×Dic5—64no—
219C22×Dic5C22×D311yescharacteristic
220C22×Dic5C22×D312yes—
221C22×Dic5C22×D311yescharacteristic
222C5×C4⋊C4C4×D314yescomplemented
223C5×C22⋊C4—38no—
224C42×C5—34no—
225C22⋊Dic5—38no—
226C22⋊Dic5—38no—
227C4⋊Dic5—34no—
228C4⋊Dic5C4×D314yescomplemented
229C4×Dic5—24no—
230C4×Dic5—34no—
231C4×Dic5—34no—
232C4×Dic5—62no—
233C4×Dic5—62no—
234C4×Dic5—64no—
235C4×Dic5—64no—
236C4×Dic5—62no—
237C4×Dic5C4×D314yescomplemented
238C2×C4×D4—31no—
239C2×C4×D4—151no—
240C2×C4×D4—151no—
241C22×C42—152no—
242C4×C4⋊C4—51no—
243C4×C4⋊C4—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—152no—
248C43—151no—
249C22×C3×C5C23×C411yescharacteristic
250C22×C3×C5C23×C411yescharacteristic
251C22×C3×C5C23×C411yescharacteristic
252C22×C3×C5C22×D411yescharacteristic
253C22×C3×C5C2×#4111yescharacteristic
254C22×C3×C5C2×#4111yescharacteristic
255C22×C3×C5C2×#4111yescharacteristic
256C2×C5×D3—24no—
257C2×C5×D3—24no—
258C2×C5×D3—24no—
259C2×C5×D3—24no—
260C2×C5×D3—24no—
261C2×C5×D3—24no—
262C2×C5×D3C2×C4218yescomplemented
263C3×C4×C5—24no—
264C3×C4×C5C2×C4214yescomplemented
265Dic15—24no—
266Dic15—22no—
267Dic15C4×D414yescomplemented
268C3×Dic5—24no—
269C3×Dic5—22no—
270C3×Dic5C4×D414yescomplemented
271C5×Dic3—22no—
272C5×Dic3C4×D414yescomplemented
273C23×D3C22×D512yes—
274C22×C3×C4—51no—
275C22×C3×C4—52no—
276C22×C3×C4—51no—
277C22×C3×C4C22×D512yes—
278C22×C3×C4C22×D511yescharacteristic
279C22×Dic3—51no—
280C22×Dic3—51no—
281C22×Dic3—52no—
282C22×Dic3C22×D511yescharacteristic
283C22×Dic3C22×D511yescharacteristic
284C2×D12C4×D514yes—
285C2×D12C4×D514yes—
286C2×D12C2×Dic514yes—
287C2×C4×D3—24no—
288C2×C4×D3—24no—
289C2×C4×D3—58no—
290C2×C4×D3—58no—
291C2×C4×D3—104no—
292C2×C4×D3—104no—
293C2×C4×D3—104no—
294C2×C4×D3—104no—
295C2×C4×D3C2×Dic518yescomplemented
296C3×C4⋊C4—54no—
297C3×C4⋊C4C2×Dic514yescomplemented
298C3×C42—54no—
299C3×C42—104no—
300(C2×D3)⋊C4—58no—
301(C2×D3)⋊C4—58no—
302(C2×D3)⋊C4C2×Dic518yescomplemented
303C4⋊Dic3—54no—
304C4×Dic3—54no—
305C4×Dic3—54no—
306C4×Dic3—102no—
307C4×Dic3—102no—
308C4×Dic3—104no—
309C4×Dic3—104no—
310C4×Dic3—102no—
311C4×Dic3C2×Dic514yescomplemented
312C23×C5—34no—
313C23×C5—34no—
314C23×C5—34no—
315C23×C5—62no—
316C23×C5—62no—
317C23×C5—62no—
318C23×C5—62no—
319C23×C5C23×D311yescharacteristic
320C5×D4—316no—
321C2×C4×C5—22no—
322C2×C4×C5—22no—
323C2×C4×C5—32no—
324C2×C4×C5—32no—
325C2×C4×C5—32no—
326C2×C4×C5—32no—
327C2×C4×C5—616no—
328C2×C4×C5—61no—
329C2×C4×C5—61no—
330C2×C4×C5C2×C4×D312yes—
331C2×C4×C5C2×C4×D312yes—
332C2×C4×C5C2×C4×D314yes—
333C2×C4×C5C2×C4×D312yes—
334C2×Dic5—22no—
335C2×Dic5—21no—
336C2×Dic5—21no—
337C2×Dic5—22no—
338C2×Dic5—32no—
339C2×Dic5—32no—
340C2×Dic5—32no—
341C2×Dic5—32no—
342C2×Dic5—34no—
343C2×Dic5—616no—
344C2×Dic5—62no—
345C2×Dic5—61no—
346C2×Dic5—62no—
347C2×Dic5—61no—
348C2×Dic5—616no—
349C2×Dic5C2×C4×D312yes—
350C2×Dic5C2×C4×D314yes—
351C2×Dic5C2×C4×D312yes—
352C2×Dic5D3×D412yes—
353C2×Dic5#23912yes—
354C22×D4—31no—
355C23×C4—32no—
356C23×C4—152no—
357C23×C4—152no—
358C4×D4—38no—
359C4×D4—158no—
360C4×D4—158no—
361C2×C4⋊C4—51no—
362C2×C4⋊C4—151no—
363C2×C4⋊C4D3×D511yescharacteristic
364C2×C22⋊C4—32no—
365C2×C22⋊C4—152no—
366C2×C22⋊C4—152no—
367C2×C42—31no—
368C2×C42—51no—
369C2×C42—52no—
370C2×C42—151no—
371C2×C42—151no—
372C2×C42—151no—
373C2×C42—151no—
374C2×C42—151no—
375C2×C42—152no—
376C2×C42—152no—
377C2×C42—308no—
378#95—52no—
379#95—152no—
380#95—152no—
381C2×C3×C5C22×C4211yescharacteristic
382C2×C3×C5C2×C4×D411yescharacteristic
383C2×C3×C5C2×C4×D411yescharacteristic
384C2×C3×C5C2×C4×D411yescharacteristic
385C2×C3×C5C4×#4111yescharacteristic
386C2×C3×C5C4×#4111yescharacteristic
387C2×C3×C5C4×#4111yescharacteristic
388C5×D3—28no—
389C23×C3C23×D511yescharacteristic
390C22×D3—22no—
391C22×D3—22no—
392C22×D3—22no—
393C22×D3—22no—
394C22×D3C2×C4×D514yes—
395C22×D3C2×C4×D514yes—
396C22×D3C22×Dic514yes—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—52no—
400C2×C3×C4—52no—
401C2×C3×C4—52no—
402C2×C3×C4—52no—
403C2×C3×C4—54no—
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×Dic514yes—
411C2×C3×C4C22×Dic512yes—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—52no—
415C2×Dic3—52no—
416C2×Dic3—52no—
417C2×Dic3—52no—
418C2×Dic3—54no—
419C2×Dic3—102no—
420C2×Dic3—101no—
421C2×Dic3—101no—
422C2×Dic3—102no—
423C2×Dic3D4×D512yes—
424C2×Dic3#71112yes—
425C2×Dic3C22×Dic512yes—
426C2×Dic3C22×Dic512yes—
427D12C4×Dic5116yescomplemented
428C4×D3—216no—
429C4×D3—1016no—
430C4×D3—1016no—
431C22×C5—38no—
432C22×C5—64no—
433C22×C5—64no—
434C22×C5—64no—
435C22×C5—64no—
436C22×C5—64no—
437C22×C5—64no—
438C22×C5C22×C4×D311yescharacteristic
439C22×C5C22×C4×D311yescharacteristic
440C22×C5C22×C4×D311yescharacteristic
441C22×C5C2×D3×D411yescharacteristic
442C22×C5C2×#23911yescharacteristic
443C22×C5D3×#4111yescharacteristic
444C22×C5D3×#4111yescharacteristic
445C4×C5—24no—
446C4×C5—34no—
447C4×C5—62no—
448C4×C5C42×D314yescomplemented
449Dic5—22no—
450Dic5—24no—
451Dic5—34no—
452Dic5—64no—
453Dic5—62no—
454Dic5#89314yesdirect product factor
455C24—32no—
456C2×D4—34no—
457C2×D4—34no—
458C2×D4—34no—
459C22×C4—31no—
460C22×C4—31no—
461C22×C4—38no—
462C22×C4—51no—
463C22×C4—51no—
464C22×C4—52no—
465C22×C4—64no—
466C22×C4—64no—
467C22×C4—158no—
468C22×C4—158no—
469C22×C4—151no—
470C22×C4—151no—
471C22×C4—152no—
472C22×C4—304no—
473C22×C4—304no—
474C22×C4—304no—
475C22×C4—304no—
476C22×C4C2×D3×D512yes—
477C22×C4C2×D3×D511yescharacteristic
478C4⋊C4—54no—
479C4⋊C4—154no—
480C4⋊C4D3×Dic514yescomplemented
481C22⋊C4—38no—
482C22⋊C4—158no—
483C22⋊C4—158no—
484C42—34no—
485C42—54no—
486C42—104no—
487C42—154no—
488C42—154no—
489C42—304no—
490C42—304no—
491C42—302no—
492C42—302no—
493C42—302no—
494C3×C5C42×D411yescharacteristic, complemented, Hall
495C22×C3C22×C4×D511yescharacteristic
496C22×C3C22×C4×D511yescharacteristic
497C22×C3C2×D4×D511yescharacteristic
498C22×C3C2×#71111yescharacteristic
499C22×C3D5×#4111yescharacteristic
500C22×C3D5×#4111yescharacteristic
501C22×C3C23×Dic511yescharacteristic
502C2×D3—24no—
503C2×D3—24no—
504C2×D3—24no—
505C2×D3—24no—
506C2×D3—24no—
507C2×D3—24no—
508C2×D3C2×C4×Dic518yescomplemented
509C3×C4—24no—
510C3×C4—54no—
511C3×C4—102no—
512C3×C4—104no—
513C3×C4C2×C4×Dic514yescomplemented
514Dic3—22no—
515Dic3—54no—
516Dic3—102no—
517Dic3—104no—
518Dic3D4×Dic514yescomplemented
519C2×C5—68no—
520C2×C5C2×C42×D311yescharacteristic
521C2×C5C2×#89311yescharacteristic
522C2×C5#552211yescharacteristic
523C2×C5C4×D3×D411yescharacteristic
524C2×C5C4×D3×D411yescharacteristic
525C2×C5C4×#23911yescharacteristic
526C2×C5C4×#23911yescharacteristic
527C23—34no—
528C23—34no—
529C23—34no—
530C23—62no—
531C23—62no—
532C23—62no—
533C23—62no—
534C23C22×D3×D511yescharacteristic
535D4—316no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—32no—
539C2×C4—32no—
540C2×C4—32no—
541C2×C4—32no—
542C2×C4—52no—
543C2×C4—52no—
544C2×C4—52no—
545C2×C4—52no—
546C2×C4—54no—
547C2×C4—616no—
548C2×C4—61no—
549C2×C4—61no—
550C2×C4—102no—
551C2×C4—101no—
552C2×C4—101no—
553C2×C4—102no—
554C2×C4—152no—
555C2×C4—152no—
556C2×C4—152no—
557C2×C4—152no—
558C2×C4—154no—
559C2×C4—3016no—
560C2×C4—3016no—
561C2×C4—302no—
562C2×C4—301no—
563C2×C4—301no—
564C2×C4—302no—
565C2×C4C4×D3×D512yes—
566C2×C4C4×D3×D512yes—
567C2×C4C2×D3×Dic514yes—
568C2×C4C2×D3×Dic512yes—
569C2×C3C4×#71111yescharacteristic
570C2×C3C4×#71111yescharacteristic
571C2×C3C4×D4×D511yescharacteristic
572C2×C3C4×D4×D511yescharacteristic
573C2×C3C22×C4×Dic511yescharacteristic
574C2×C3C2×D4×Dic511yescharacteristic
575C2×C3#41×Dic511yescharacteristic
576D3—28no—
577C5C4×#89311yescharacteristic, complemented, Sylow
578C22—38no—
579C22—64no—
580C22—64no—
581C22—64no—
582C22—64no—
583C22—64no—
584C22—64no—
585C22C2×C4×D3×D511yescharacteristic
586C22C2×C4×D3×D511yescharacteristic
587C22D3×D4×D511yescharacteristic
588C22D3×#71111yescharacteristic
589C22D5×#23911yescharacteristic
590C22#9203411yescharacteristic
591C22C22×D3×Dic511yescharacteristic
592C4—24no—
593C4—34no—
594C4—54no—
595C4—62no—
596C4—104no—
597C4—102no—
598C4—154no—
599C4—304no—
600C4—302no—
601C4C4×D3×Dic514yescomplemented
602C3C4×D4×Dic511yescharacteristic, complemented, Sylow
603C2—68no—
604C2#1175340211yescharacteristic
605C2#1175340611yescharacteristic
606C2D5×#89311yescharacteristic
607C2#1175384011yescharacteristic
608C2C2×C4×D3×Dic511yescharacteristic
609C2D3×D4×Dic511yescharacteristic
610C2Dic5×#23911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC2×C3×C5C22×C42
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×D12C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C42×D4
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×C4×D3×Dic5C2semidirect
5. C4⋊C4×Dic15C2semidirect
6. C3×C4⋊C4×Dic5C2semidirect
7. #11748886C2semidirect
8. Dic5×(C2×D3)⋊C4C2semidirect
9. #11748719C2semidirect
10. Dic3×C4⋊Dic5C2semidirect
11. C4×Dic3×Dic5C2semidirect
23. C5×#893C4semidirect
34. #91435C4semidirect
35. Dic5×D12C4semidirect
47. C4⋊C4×Dic5D3semidirect
65. C2×C4×C5×D3C2×C4semidirect
73. C2×D3×Dic5C2×C4semidirect
74. C2×D3×Dic5C2×C4semidirect
75. C3×C5×C4⋊C4C2×C4semidirect
76. C4⋊Dic15C2×C4semidirect
78. C4×Dic15C2×C4semidirect
79. C5×(C2×D3)⋊C4C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
81. C3×C4⋊Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. (C2×D3)⋊Dic5C2×C4semidirect
85. (C2×D3)⋊Dic5C2×C4semidirect
90. Dic3×Dic5D4semidirect
159. C5×D12C42semidirect
193. #893Dic5direct (N × H)
222. C5×C4⋊C4C4×D3semidirect
228. C4⋊Dic5C4×D3semidirect
237. C4×Dic5C4×D3semidirect
262. C2×C5×D3C2×C42semidirect
264. C3×C4×C5C2×C42semidirect
267. Dic15C4×D4semidirect
270. C3×Dic5C4×D4semidirect
272. C5×Dic3C4×D4semidirect
295. C2×C4×D3C2×Dic5semidirect
297. C3×C4⋊C4C2×Dic5semidirect
302. (C2×D3)⋊C4C2×Dic5semidirect
311. C4×Dic3C2×Dic5semidirect
427. D12C4×Dic5semidirect
448. C4×C5C42×D3semidirect
454. Dic5#893direct (N × H)
480. C4⋊C4D3×Dic5semidirect
494. C3×C5C42×D4semidirect
508. C2×D3C2×C4×Dic5semidirect
513. C3×C4C2×C4×Dic5semidirect
518. Dic3D4×Dic5semidirect
577. C5C4×#893semidirect
601. C4C4×D3×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×C5×#8932
C2×#914352
C2×Dic5×D122
C2×C4×D3×Dic52
C4⋊C4×Dic152
C3×C4⋊C4×Dic52
#117488862
Dic5×(C2×D3)⋊C42
#117487192
Dic3×C4⋊Dic52
C4×Dic3×Dic52
C4×D4×Dic53
C4×#8935