Finite Group Databasebeta

← Dic5×#1004 #14479218

Subgroups — Dic5×#1004 #14479218

Order 1920.

3320 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#1004C211yesmaximal, characteristic
2#11756557C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
4#11755410C214yesmaximal, complemented
5C2×Dic5×#67C214yesmaximal, complemented
6#11754920C214yesmaximal, complemented
7#11754914C214yesmaximal, complemented
8Dic5×#237C214yesmaximal, complemented
9D3×D4×Dic5C214yesmaximal, complemented
10#11754492C212yesmaximal, complemented
11Dic5×#235C212yesmaximal, complemented
12Dic5×H(5,𝔽2)—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×C5×#67C2214yes—
15C5×#1004C4116yescomplemented
16C2×C5×#237C2214yes—
17C2×C5×D3×D4C2214yes—
18C2×C5×#235C2212yes—
19C23×C3×Dic5C2212yescomplemented
20C22×D3×Dic5C2214yescomplemented
21C2×#6719C2214yescomplemented
22D4×Dic15C2214yescomplemented
23D4×Dic15C2214yescomplemented
24#91815C2212yescomplemented
25C2×C3×C22⋊Dic5C2212yescomplemented
26C3×D4×Dic5C2214yescomplemented
27C3×D4×Dic5C2214yescomplemented
28C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
29C2×C3×C4×Dic5C2211yescharacteristic, complemented
30#67⋊Dic5C2218yescomplemented
31#67⋊Dic5C2218yescomplemented
32D3×C22⋊Dic5C2218yescomplemented
33Dic5×#67C2218yescomplemented
34Dic5×#67C2214yescomplemented
35Dic5×#67C2218yescomplemented
36Dic5×#67C2218yescomplemented
37Dic5×#67C2214yescomplemented
38C2×Dic3⋊Dic5C2214yescomplemented
39C2×(C2×D3)⋊Dic5C2214yescomplemented
40#91529C2218yescomplemented
41C2×Dic3×Dic5C2214yescomplemented
42#91435C2214yescomplemented
43D3×C4⋊Dic5C2214yescomplemented
44Dic5×D12C2212yescomplemented
45Dic5×D12C2212yescomplemented
46C4×D3×Dic5C2214yescomplemented
47#91371C2214yescomplemented
48#91344C2214yescomplemented
49#91338C2214yescomplemented
50Dic5×Dic6C2212yescomplemented
51Dic5×Dic6C2212yescomplemented
52C4×#1004—51nomaximal, Hall
53C2×C5×H(5,𝔽2)—31no—
54#66161—34no—
55#66161—32no—
56#41×Dic5—34no—
57#41×Dic5—32no—
58#66132—34no—
59#66132—31no—
60#66132—34no—
61C2×D4×Dic5—34no—
62C2×D4×Dic5—34no—
63C2×D4×Dic5D311yescharacteristic, complemented
64C24×C3×C5C2312yes—
65C23×C5×D3C2314yes—
66C2×C3×C5×D4C2×C418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2314yes—
70C22×Dic15C2314yes—
71C2×C5×#67C2×C4132yescomplemented
72C2×C5×#67C2314yes—
73C2×C5×#67C2318yes—
74C22×C5×Dic3C2314yes—
75C5×#237C2×C4132yescomplemented
76C5×D3×D4C2×C4132yescomplemented
77C5×#235C2×C4116yescomplemented
78C2×C5×D12C2312yes—
79C2×C4×C5×D3C2314yes—
80C2×C5×Dic6C2312yes—
81C22×C3×Dic5—44no—
82C22×C3×Dic5C2314yes—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2314yes—
85C22×C3×Dic5C2311yescharacteristic
86C22×C3×Dic5C2312yes—
87C2×D3×Dic5—48no—
88C2×D3×Dic5C2314yes—
89C2×D3×Dic5C2314yes—
90C2×D3×Dic5C2318yes—
91#6719C2318yes—
92#6719C2314yes—
93C4⋊Dic15C2312yes—
94C4⋊Dic15C2312yes—
95C4×Dic15C2314yes—
96C3×C22⋊Dic5C2318yes—
97C3×C4⋊Dic5C2314yes—
98C3×C4×Dic5C2312yes—
99C3×C4×Dic5C2312yes—
100Dic3⋊Dic5C2318yes—
101Dic3⋊Dic5C2314yes—
102Dic3⋊Dic5C2314yes—
103(C2×D3)⋊Dic5C2314yes—
104(C2×D3)⋊Dic5C2314yes—
105(C2×D3)⋊Dic5C2318yes—
106Dic3×Dic5C2314yes—
107Dic3×Dic5C2314yes—
108Dic3×Dic5C2318yes—
109C2×#1004D511yescharacteristic
110C2×C3×C4×D4—51no—
111#5798—51no—
112C2×C4×#67—54no—
113#5546—54no—
114#5545—54no—
115C4×D3×D4—54no—
116C4×#237—54no—
117#5504—52no—
118#5486—54no—
119C4×#235—52no—
120C5×H(5,𝔽2)—316no—
121C2×C5×#41—34no—
122C2×C5×#41—32no—
123C22×C5×D4—34no—
124C22×C5×D4—34no—
125C22×C5×D4C2×D311yescharacteristic
126C23×Dic5—34no—
127C23×Dic5C2×D312yescomplemented
128C2×C22⋊Dic5—34no—
129C2×C22⋊Dic5—34no—
130C2×C22⋊Dic5—38no—
131C2×C22⋊Dic5C2×D312yescomplemented
132Q8×Dic5—34no—
133Q8×Dic5—32no—
134Q8×Dic5—32no—
135D4×Dic5—34no—
136D4×Dic5—34no—
137D4×Dic5—38no—
138D4×Dic5—34no—
139D4×Dic5—38no—
140D4×Dic5—38no—
141D4×Dic5—34no—
142D4×Dic5—38no—
143D4×Dic5—38no—
144D4×Dic5—34no—
145D4×Dic5—32no—
146D4×Dic5—32no—
147D4×Dic5C2×D314yescomplemented
148D4×Dic5C2×D314yescomplemented
149#4072—32no—
150#4072—38no—
151#4072—34no—
152#4072—34no—
153C2×C4⋊Dic5—34no—
154C2×C4⋊Dic5—34no—
155C2×C4⋊Dic5C2×D311yescharacteristic, complemented
156C2×C4×Dic5—34no—
157C2×C4×Dic5—34no—
158C2×C4×Dic5C2×D311yescharacteristic, complemented
159C4×H(5,𝔽2)—151noSylow
160C23×C3×C5—42no—
161C23×C3×C5—42no—
162C23×C3×C5C22×C418yescomplemented
163C23×C3×C5C2414yes—
164C23×C3×C5C2411yescharacteristic
165C22×C5×D3—44no—
166C22×C5×D3—44no—
167C22×C5×D3C22×C4116yescomplemented
168C22×C5×D3C2414yes—
169C3×C5×D4C22×C4116yescomplemented
170C2×C3×C4×C5C22×C414yescomplemented
171C2×C3×C4×C5C2412yes—
172C2×Dic15—44no—
173C2×Dic15—44no—
174C2×Dic15C2414yes—
175C2×Dic15C2414yes—
176C5×#67C22×C4116yescomplemented
177C5×#67C22×C4132yescomplemented
178C2×C5×Dic3C22×C4116yescomplemented
179C2×C5×Dic3C2414yes—
180C5×D12C22×C418yescomplemented
181C4×C5×D3C22×C4116yescomplemented
182C5×Dic6C22×C418yescomplemented
183C2×C3×Dic5—28no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5—42no—
186C2×C3×Dic5—44no—
187C2×C3×Dic5—41no—
188C2×C3×Dic5C2412yes—
189C2×C3×Dic5C2414yes—
190C2×C3×Dic5C2411yescharacteristic
191C2×C3×Dic5C2411yescharacteristic
192D3×Dic5—28no—
193D3×Dic5—48no—
194D3×Dic5—44no—
195C22×C3×D4C2×D511yescharacteristic
196C23×C3×C4—52no—
197C22×#67C2×D514yes—
198#1004Dic5116yesdirect product factor
199C2×#237C2×D514yes—
200C2×D3×D4C2×D514yes—
201C2×#235C2×D512yes—
202C22×C4×D3—54no—
203C3×C4×D4—54no—
204C3×C4×D4—54no—
205C2×C3×C4⋊C4—51no—
206C2×C3×C22⋊C4—52no—
207C2×C3×C42—51no—
208C2×#217—54no—
209D4×Dic3—54no—
210D4×Dic3—54no—
211C4×#67—54no—
212C4×#67—54no—
213C4×#67—58no—
214C4×#67—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—54no—
217#926—52no—
218C2×Dic3⋊C4—54no—
219C2×C4×Dic3—54no—
220#893—54no—
221#892—54no—
222D3×C4⋊C4—54no—
223#887—54no—
224#67⋊C4—58no—
225#67⋊C4—58no—
226D3×C22⋊C4—58no—
227#877—58no—
228C4×D12—52no—
229C4×D12—52no—
230#872—54no—
231C42×D3—54no—
232C4×Dic6—52no—
233C4×Dic6—52no—
234C24×C5—34no—
235C24×C5C22×D312yes—
236C5×#41—332no—
237C5×#41—316no—
238C2×C5×Q8—32no—
239C2×C5×D4—332no—
240C2×C5×D4—34no—
241C2×C5×D4—38no—
242C2×C5×D4—332no—
243C2×C5×D4—32no—
244C2×C5×D4C4×D318yescomplemented
245C2×C5×D4C22×D314yes—
246C22×C4×C5—34no—
247C22×C4×C5—34no—
248C22×C4×C5C22×D311yescharacteristic
249C22×Dic5—34no—
250C22×Dic5—34no—
251C22×Dic5—34no—
252C22×Dic5—34no—
253C22×Dic5—38no—
254C22×Dic5—44no—
255C22×Dic5—128no—
256C22×Dic5C22×D314yes—
257C22×Dic5C22×D311yescharacteristic
258C22×Dic5C22×D314yes—
259C22×Dic5C22×D311yescharacteristic
260C22×Dic5C22×D312yes—
261C22⋊Dic5—34no—
262C22⋊Dic5—38no—
263C22⋊Dic5—38no—
264C22⋊Dic5—34no—
265C22⋊Dic5—34no—
266C22⋊Dic5C22×D318yes—
267C4⋊Dic5—32no—
268C4⋊Dic5—32no—
269C4⋊Dic5—38no—
270C4⋊Dic5—34no—
271C4⋊Dic5—34no—
272C4⋊Dic5C22×D314yes—
273C4×Dic5—34no—
274C4×Dic5—34no—
275C4×Dic5—38no—
276C4×Dic5—34no—
277C4×Dic5C22×D312yes—
278C4×Dic5C22×D312yes—
279C2×H(5,𝔽2)—31no—
280#520—152no—
281#520—154no—
282#518—154no—
283#518—154no—
284#518—151no—
285C4×#41—152no—
286C4×#41—154no—
287C2×C4×D4—51no—
288C2×C4×D4—154no—
289C2×C4×D4—154no—
290C22×C3×C5—21no—
291C22×C3×C5—24no—
292C22×C3×C5—21no—
293C22×C3×C5—24no—
294C22×C3×C5—48no—
295C22×C3×C5C23×C418yes—
296C22×C3×C5C23×C412yes—
297C22×C3×C5C2511yescharacteristic
298C2×C5×D3—24no—
299C2×C5×D3—24no—
300C2×C5×D3—416no—
301C2×C5×D3C23×C418yes—
302C3×C4×C5C23×C414yes—
303Dic15—24no—
304Dic15—24no—
305C3×Dic5—24no—
306C3×Dic5—21no—
307C3×Dic5—22no—
308C3×Dic5H(5,𝔽2)12yescomplemented
309C5×Dic3C23×C418yes—
310C24×C3C22×D512yes—
311C23×D3C22×D514yes—
312C2×C3×D4C2×Dic518yescomplemented
313C2×C3×D4C22×D514yes—
314C22×C3×C4—54no—
315C22×C3×C4—51no—
316C22×C3×C4—54no—
317C22×C3×C4—51no—
318C22×C3×C4—52no—
319C22×C3×C4—204no—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67C2×Dic5132yescomplemented
322C2×#67C22×D518yes—
323C2×#67C22×D514yes—
324C22×Dic3—54no—
325C22×Dic3—54no—
326C22×Dic3C22×D514yes—
327#237C2×Dic5132yescomplemented
328D3×D4C2×Dic5132yescomplemented
329#235C2×Dic5116yescomplemented
330C2×D12C22×D512yes—
331C2×C4×D3—54no—
332C2×C4×D3—54no—
333C2×C4×D3—58no—
334C2×C4×D3—208no—
335C2×C4×D3C22×D514yes—
336C2×Dic6C22×D512yes—
337C3×C4⋊C4—54no—
338C3×C22⋊C4—58no—
339C3×C42—52no—
340C3×C42—52no—
341#217—58no—
342#217—54no—
343(C2×D3)⋊C4—54no—
344(C2×D3)⋊C4—54no—
345(C2×D3)⋊C4—58no—
346C4⋊Dic3—52no—
347C4⋊Dic3—52no—
348Dic3⋊C4—54no—
349Dic3⋊C4—54no—
350Dic3⋊C4—58no—
351C4×Dic3—54no—
352C4×Dic3—54no—
353C4×Dic3—54no—
354C4×Dic3—58no—
355C23×C5—34no—
356C23×C5—316no—
357C23×C5—42no—
358C23×C5—42no—
359C23×C5—124no—
360C23×C5—124no—
361C23×C5C2×C4×D318yescomplemented
362C23×C5C23×D311yescharacteristic
363C23×C5C23×D314yes—
364C5×Q8—38no—
365C5×D4—332no—
366C5×D4—316no—
367C5×D4—38no—
368C5×D4C2×C4×D3116yescomplemented
369C2×C4×C5—316no—
370C2×C4×C5—34no—
371C2×C4×C5—316no—
372C2×C4×C5C2×C4×D314yescomplemented
373C2×C4×C5C23×D312yes—
374C2×Dic5—22no—
375C2×Dic5—28no—
376C2×Dic5—34no—
377C2×Dic5—34no—
378C2×Dic5—44no—
379C2×Dic5—42no—
380C2×Dic5—41no—
381C2×Dic5—68no—
382C2×Dic5—124no—
383C2×Dic5—128no—
384C2×Dic5—124no—
385C2×Dic5—124no—
386C2×Dic5C23×D312yes—
387C2×Dic5C23×D314yes—
388C2×Dic5C23×D311yescharacteristic
389C2×Dic5C23×D311yescharacteristic
390H(5,𝔽2)—316no—
391C2×#41—34no—
392C2×#41—32no—
393C22×D4—34no—
394C22×D4—34no—
395C22×D4D3×D511yescharacteristic
396C23×C4—52no—
397C23×C4—154no—
398C4×Q8—152no—
399C4×Q8—152no—
400C4×Q8—154no—
401C4×D4—54no—
402C4×D4—54no—
403C4×D4—152no—
404C4×D4—152no—
405C4×D4—158no—
406C4×D4—158no—
407C4×D4—154no—
408C4×D4—154no—
409C4×D4—158no—
410C4×D4—158no—
411C4×D4—158no—
412C4×D4—154no—
413C4×D4—154no—
414C4×D4—154no—
415#117—154no—
416#117—158no—
417#117—154no—
418#117—152no—
419C2×C4⋊C4—51no—
420C2×C4⋊C4—154no—
421C2×C4⋊C4—154no—
422C2×C22⋊C4—52no—
423C2×C22⋊C4—158no—
424C2×C22⋊C4—154no—
425C2×C22⋊C4—154no—
426C2×C42—51no—
427C2×C42—154no—
428C2×C42—154no—
429C2×C3×C5—28no—
430C2×C3×C5—22no—
431C2×C3×C5C24×C411yescharacteristic
432C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
433C2×C3×C5#58511yescharacteristic
434C5×D3—28no—
435C23×C3—42no—
436C23×C3—42no—
437C23×C3C22×Dic518yescomplemented
438C23×C3C23×D511yescharacteristic
439C23×C3C23×D514yes—
440C22×D3—44no—
441C22×D3—44no—
442C22×D3C22×Dic5116yescomplemented
443C22×D3C23×D514yes—
444C3×D4C22×Dic5116yescomplemented
445C2×C3×C4—51no—
446C2×C3×C4—52no—
447C2×C3×C4—54no—
448C2×C3×C4—51no—
449C2×C3×C4—108no—
450C2×C3×C4—102no—
451C2×C3×C4—201no—
452C2×C3×C4—202no—
453C2×C3×C4—204no—
454C2×C3×C4C22×Dic514yescomplemented
455C2×C3×C4C23×D512yes—
456#67C22×Dic5116yescomplemented
457#67C22×Dic5132yescomplemented
458C2×Dic3—54no—
459C2×Dic3—54no—
460C2×Dic3—204no—
461C2×Dic3—204no—
462C2×Dic3C22×Dic5116yescomplemented
463C2×Dic3C23×D514yes—
464D12C22×Dic518yescomplemented
465C4×D3—108no—
466C4×D3—204no—
467C4×D3—208no—
468C4×D3C22×Dic5116yescomplemented
469Dic6C22×Dic518yescomplemented
470C22×C5—21no—
471C22×C5—24no—
472C22×C5—21no—
473C22×C5—24no—
474C22×C5—38no—
475C22×C5—48no—
476C22×C5—64no—
477C22×C5—64no—
478C22×C5—1216no—
479C22×C5C22×C4×D318yes—
480C22×C5C22×C4×D312yes—
481C22×C5C24×D311yescharacteristic
482C4×C5—38no—
483C4×C5C22×C4×D314yes—
484Dic5—21no—
485Dic5—24no—
486Dic5—22no—
487Dic5—64no—
488Dic5—64no—
489Dic5#100412yesdirect product factor
490C24—34no—
491C24C2×D3×D512yes—
492#41—332no—
493#41—316no—
494C2×Q8—32no—
495C2×D4—332no—
496C2×D4—38no—
497C2×D4—34no—
498C2×D4—332no—
499C2×D4—32no—
500C2×D4D3×Dic518yescomplemented
501C2×D4C2×D3×D514yes—
502C22×C4—34no—
503C22×C4—34no—
504C22×C4—51no—
505C22×C4—54no—
506C22×C4—51no—
507C22×C4—52no—
508C22×C4—54no—
509C22×C4—154no—
510C22×C4—154no—
511C22×C4—158no—
512C22×C4—154no—
513C22×C4—154no—
514C22×C4—204no—
515C22×C4—608no—
516C22×C4C2×D3×D511yescharacteristic
517C4⋊C4—54no—
518C4⋊C4—154no—
519C4⋊C4—158no—
520C4⋊C4—154no—
521C4⋊C4—152no—
522C4⋊C4—152no—
523C22⋊C4—58no—
524C22⋊C4—154no—
525C22⋊C4—154no—
526C22⋊C4—158no—
527C22⋊C4—158no—
528C22⋊C4—154no—
529C42—52no—
530C42—52no—
531C42—154no—
532C42—154no—
533C42—158no—
534C42—154no—
535C3×C5C4×H(5,𝔽2)11yescharacteristic, complemented, Hall
536C22×C3—24no—
537C22×C3—21no—
538C22×C3—24no—
539C22×C3—21no—
540C22×C3—48no—
541C22×C3C23×Dic518yes—
542C22×C3C23×Dic512yes—
543C22×C3C24×D511yescharacteristic
544C2×D3—24no—
545C2×D3—24no—
546C2×D3—416no—
547C2×D3C23×Dic518yes—
548C3×C4—52no—
549C3×C4—104no—
550C3×C4—101no—
551C3×C4—102no—
552C3×C4C23×Dic514yes—
553Dic3—104no—
554Dic3—104no—
555Dic3C23×Dic518yes—
556C2×C5—22no—
557C2×C5—28no—
558C2×C5—68no—
559C2×C5C23×C4×D311yescharacteristic
560C2×C5C2×#100411yescharacteristic
561C2×C5#596411yescharacteristic
562C23—34no—
563C23—316no—
564C23—42no—
565C23—42no—
566C23—124no—
567C23—124no—
568C23C2×D3×Dic518yescomplemented
569C23C22×D3×D514yes—
570C23C22×D3×D511yescharacteristic
571Q8—38no—
572D4—332no—
573D4—316no—
574D4—38no—
575D4C2×D3×Dic5116yescomplemented
576C2×C4—316no—
577C2×C4—34no—
578C2×C4—316no—
579C2×C4—51no—
580C2×C4—52no—
581C2×C4—51no—
582C2×C4—54no—
583C2×C4—102no—
584C2×C4—108no—
585C2×C4—154no—
586C2×C4—154no—
587C2×C4—204no—
588C2×C4—202no—
589C2×C4—201no—
590C2×C4—308no—
591C2×C4—608no—
592C2×C4—604no—
593C2×C4—604no—
594C2×C4—604no—
595C2×C4C2×D3×Dic514yescomplemented
596C2×C4C22×D3×D512yes—
597C2×C3—28no—
598C2×C3—22no—
599C2×C3D5×H(5,𝔽2)11yescharacteristic
600C2×C3#6628511yescharacteristic
601C2×C3C24×Dic511yescharacteristic
602D3—28no—
603C5C4×#100411yescharacteristic, complemented, Sylow
604C22—21no—
605C22—24no—
606C22—21no—
607C22—24no—
608C22—38no—
609C22—48no—
610C22—64no—
611C22—64no—
612C22—1216no—
613C22C22×D3×Dic518yes—
614C22C22×D3×Dic512yes—
615C22C23×D3×D511yescharacteristic
616C4—38no—
617C4—52no—
618C4—101no—
619C4—104no—
620C4—102no—
621C4—304no—
622C4—304no—
623C4C22×D3×Dic514yes—
624C3Dic5×H(5,𝔽2)11yescharacteristic, complemented, Sylow
625C2—22no—
626C2—28no—
627C2—68no—
628C2D5×#100411yescharacteristic
629C2#1175703411yescharacteristic
630C2C23×D3×Dic511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC22×C3×C5×D4C22
socle, cosocleC22×C3×C5C25
prime radicalC2×C5×#1004C2
hypercenterC22×D4D3×D5
hypocenterC3×C5C4×H(5,𝔽2)
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. #11756557C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. #11755410C2semidirect
5. C2×Dic5×#67C2semidirect
6. #11754920C2semidirect
7. #11754914C2semidirect
8. Dic5×#237C2semidirect
9. D3×D4×Dic5C2semidirect
10. #11754492C2semidirect
11. Dic5×#235C2semidirect
15. C5×#1004C4semidirect
19. C23×C3×Dic5C22semidirect
20. C22×D3×Dic5C22semidirect
21. C2×#6719C22semidirect
22. D4×Dic15C22semidirect
23. D4×Dic15C22semidirect
24. #91815C22semidirect
25. C2×C3×C22⋊Dic5C22semidirect
26. C3×D4×Dic5C22semidirect
27. C3×D4×Dic5C22semidirect
28. C2×C3×C4⋊Dic5C22semidirect
29. C2×C3×C4×Dic5C22semidirect
30. #67⋊Dic5C22semidirect
31. #67⋊Dic5C22semidirect
32. D3×C22⋊Dic5C22semidirect
33. Dic5×#67C22semidirect
34. Dic5×#67C22semidirect
35. Dic5×#67C22semidirect
36. Dic5×#67C22semidirect
37. Dic5×#67C22semidirect
38. C2×Dic3⋊Dic5C22semidirect
39. C2×(C2×D3)⋊Dic5C22semidirect
40. #91529C22semidirect
41. C2×Dic3×Dic5C22semidirect
42. #91435C22semidirect
43. D3×C4⋊Dic5C22semidirect
44. Dic5×D12C22semidirect
45. Dic5×D12C22semidirect
46. C4×D3×Dic5C22semidirect
47. #91371C22semidirect
48. #91344C22semidirect
49. #91338C22semidirect
50. Dic5×Dic6C22semidirect
51. Dic5×Dic6C22semidirect
63. C2×D4×Dic5D3semidirect
66. C2×C3×C5×D4C2×C4semidirect
71. C2×C5×#67C2×C4semidirect
75. C5×#237C2×C4semidirect
76. C5×D3×D4C2×C4semidirect
77. C5×#235C2×C4semidirect
127. C23×Dic5C2×D3semidirect
131. C2×C22⋊Dic5C2×D3semidirect
147. D4×Dic5C2×D3semidirect
148. D4×Dic5C2×D3semidirect
155. C2×C4⋊Dic5C2×D3semidirect
158. C2×C4×Dic5C2×D3semidirect
162. C23×C3×C5C22×C4semidirect
167. C22×C5×D3C22×C4semidirect
169. C3×C5×D4C22×C4semidirect
170. C2×C3×C4×C5C22×C4semidirect
176. C5×#67C22×C4semidirect
177. C5×#67C22×C4semidirect
178. C2×C5×Dic3C22×C4semidirect
180. C5×D12C22×C4semidirect
181. C4×C5×D3C22×C4semidirect
182. C5×Dic6C22×C4semidirect
198. #1004Dic5direct (N × H)
244. C2×C5×D4C4×D3semidirect
308. C3×Dic5H(5,𝔽2)semidirect
312. C2×C3×D4C2×Dic5semidirect
321. C2×#67C2×Dic5semidirect
327. #237C2×Dic5semidirect
328. D3×D4C2×Dic5semidirect
329. #235C2×Dic5semidirect
361. C23×C5C2×C4×D3semidirect
368. C5×D4C2×C4×D3semidirect
372. C2×C4×C5C2×C4×D3semidirect
437. C23×C3C22×Dic5semidirect
442. C22×D3C22×Dic5semidirect
444. C3×D4C22×Dic5semidirect
454. C2×C3×C4C22×Dic5semidirect
456. #67C22×Dic5semidirect
457. #67C22×Dic5semidirect
462. C2×Dic3C22×Dic5semidirect
464. D12C22×Dic5semidirect
468. C4×D3C22×Dic5semidirect
469. Dic6C22×Dic5semidirect
489. Dic5#1004direct (N × H)
500. C2×D4D3×Dic5semidirect
535. C3×C5C4×H(5,𝔽2)semidirect
568. C23C2×D3×Dic5semidirect
575. D4C2×D3×Dic5semidirect
595. C2×C4C2×D3×Dic5semidirect
603. C5C4×#1004semidirect
624. C3Dic5×H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#10042
#117565572
C2×C3×D4×Dic52
#117554102
C2×Dic5×#672
#117549202
#117549142
Dic5×#2372
D3×D4×Dic52
#117544922
Dic5×#2352
Dic5×H(5,𝔽2)3
C4×#10045