Finite Group Databasebeta

← #14479219

Subgroups — #14479219

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
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C3×#66132C211yesmaximal, characteristic, complemented
4#11755410C214yesmaximal, complemented
5C2×#67⋊Dic5C214yesmaximal, complemented
6#11754920C214yesmaximal, complemented
7#11754914C214yesmaximal, complemented
8Dic5×#237C214yesmaximal, complemented
9D3×D4×Dic5C214yesmaximal, complemented
10#11754513C212yesmaximal, complemented
11#11754455C212yesmaximal, complemented
12Dic5×H(5,𝔽2)—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yescomplemented
15C22×C5×#67C2214yes—
16C5×#1004C4116yescomplemented
17C2×C5×#237C2214yes—
18C2×C5×D3×D4C2214yes—
19C2×C5×#235C2212yes—
20C22×D3×Dic5C2214yescomplemented
21C2×#6719C2212yescomplemented
22D4×Dic15C2214yescomplemented
23D4×Dic15C2214yescomplemented
24C2×C4⋊Dic15C2211yescharacteristic, complemented
25C2×C4×Dic15C2211yescharacteristic, complemented
26C2×C3×C22⋊Dic5C2214yescomplemented
27C3×D4×Dic5C2214yescomplemented
28C3×D4×Dic5C2214yescomplemented
29C3×#4072C2212yescomplemented
30#67⋊Dic5C2218yescomplemented
31#67⋊Dic5C2218yescomplemented
32#67⋊Dic5C2214yescomplemented
33#67⋊Dic5C2218yescomplemented
34#67⋊Dic5C2214yescomplemented
35D3×C22⋊Dic5C2218yescomplemented
36Dic5×#67C2218yescomplemented
37Dic5×#67C2218yescomplemented
38C2×Dic3⋊Dic5C2214yescomplemented
39C2×(C2×D3)⋊Dic5C2214yescomplemented
40#91529C2218yescomplemented
41C2×Dic3×Dic5C2214yescomplemented
42#91435C2212yescomplemented
43#91435C2212yescomplemented
44D3×C4⋊Dic5C2214yescomplemented
45Dic5×D12C2214yescomplemented
46C4×D3×Dic5C2214yescomplemented
47#91371C2214yescomplemented
48#91344C2212yescomplemented
49#91344C2212yescomplemented
50#91338C2214yescomplemented
51Dic5×Dic6C2214yescomplemented
52#85857—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—34no—
60#66132D311yescharacteristic, complemented
61C2×D4×Dic5—34no—
62C2×D4×Dic5—31no—
63C2×D4×Dic5—34no—
64C24×C3×C5C2312yes—
65C23×C5×D3C2314yes—
66C2×C3×C5×D4C2×C418yescomplemented
67C2×C3×C5×D4C2314yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15—44no—
70C22×Dic15C2314yes—
71C22×Dic15C2311yescharacteristic
72C22×Dic15C2314yes—
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2312yes—
75C2×C5×#67C2×C4132yescomplemented
76C2×C5×#67C2318yes—
77C2×C5×#67C2314yes—
78C22×C5×Dic3C2314yes—
79C5×#237C2×C4132yescomplemented
80C5×D3×D4C2×C4132yescomplemented
81C5×#235C2×C4116yescomplemented
82C2×C5×D12C2312yes—
83C2×C4×C5×D3C2314yes—
84C2×C5×Dic6C2312yes—
85C22×C3×Dic5C2314yes—
86C22×C3×Dic5C2314yes—
87C2×D3×Dic5—48no—
88C2×D3×Dic5C2314yes—
89C2×D3×Dic5C2314yes—
90C2×D3×Dic5C2318yes—
91#6719C2318yes—
92C4⋊Dic15C2314yes—
93C4×Dic15C2312yes—
94C4×Dic15C2312yes—
95C3×C22⋊Dic5C2318yes—
96C3×C22⋊Dic5C2314yes—
97C3×C4⋊Dic5C2312yes—
98C3×C4⋊Dic5C2312yes—
99C3×C4×Dic5C2314yes—
100Dic3⋊Dic5C2318yes—
101Dic3⋊Dic5C2314yes—
102Dic3⋊Dic5C2314yes—
103(C2×D3)⋊Dic5C2318yes—
104(C2×D3)⋊Dic5C2314yes—
105(C2×D3)⋊Dic5C2314yes—
106Dic3×Dic5C2314yes—
107Dic3×Dic5C2314yes—
108Dic3×Dic5C2318yes—
109C2×#1004D511yescharacteristic
110C3×#518—51no—
111C2×D4×Dic3—51no—
112#5546—54no—
113#5545—54no—
114C4×D3×D4—54no—
115C4×#237—54no—
116#5523—52no—
117#5522—52no—
118#5486—54no—
119C2×#67⋊C4—54no—
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—32no—
127C23×Dic5—34no—
128C2×C22⋊Dic5—32no—
129C2×C22⋊Dic5—34no—
130C2×C22⋊Dic5—38no—
131C2×C22⋊Dic5C2×D314yescomplemented
132Q8×Dic5—32no—
133Q8×Dic5—32no—
134Q8×Dic5—34no—
135D4×Dic5—34no—
136D4×Dic5—34no—
137D4×Dic5—38no—
138D4×Dic5—38no—
139D4×Dic5—38no—
140D4×Dic5—34no—
141D4×Dic5—38no—
142D4×Dic5—38no—
143D4×Dic5—34no—
144D4×Dic5—32no—
145D4×Dic5—32no—
146D4×Dic5—34no—
147D4×Dic5C2×D314yescomplemented
148D4×Dic5C2×D314yescomplemented
149#4072—38no—
150#4072—34no—
151#4072—34no—
152#4072C2×D312yescomplemented
153C2×C4⋊Dic5—31no—
154C2×C4⋊Dic5—34no—
155C2×C4⋊Dic5—34no—
156C2×C4×Dic5—31no—
157C2×C4×Dic5—34no—
158C2×C4×Dic5—34no—
159C4×H(5,𝔽2)—151noSylow
160C23×C3×C5—42no—
161C23×C3×C5—42no—
162C23×C3×C5C22×C418yescomplemented
163C23×C3×C5C2411yescharacteristic
164C23×C3×C5C2414yes—
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—28no—
173C2×Dic15—22no—
174C2×Dic15—42no—
175C2×Dic15—44no—
176C2×Dic15—41no—
177C2×Dic15C2412yes—
178C2×Dic15C2414yes—
179C2×Dic15C2411yescharacteristic
180C2×Dic15C2411yescharacteristic
181C5×#67C22×C4116yescomplemented
182C5×#67C22×C4132yescomplemented
183C2×C5×Dic3C22×C4116yescomplemented
184C2×C5×Dic3C2414yes—
185C5×D12C22×C418yescomplemented
186C4×C5×D3C22×C4116yescomplemented
187C5×Dic6C22×C418yescomplemented
188C2×C3×Dic5—44no—
189C2×C3×Dic5—44no—
190C2×C3×Dic5C2414yes—
191C2×C3×Dic5C2414yes—
192D3×Dic5—28no—
193D3×Dic5—48no—
194D3×Dic5—44no—
195C22×C3×D4C2×D511yescharacteristic
196C22×#67C2×D514yes—
197C23×Dic3—52no—
198#1004Dic5116yescomplemented
199C2×#237C2×D514yes—
200C2×D3×D4C2×D514yes—
201C2×#235C2×D512yes—
202C22×C4×D3—54no—
203C3×C4×D4—54no—
204C3×C4×D4—54no—
205C3×#117—52no—
206C2×C3×C22⋊C4—54no—
207C2×#217—52no—
208D4×Dic3—54no—
209D4×Dic3—54no—
210C4×#67—58no—
211C4×#67—58no—
212C2×(C2×D3)⋊C4—54no—
213C2×C4⋊Dic3—51no—
214C2×Dic3⋊C4—54no—
215C2×C4×Dic3—51no—
216C2×C4×Dic3—54no—
217#893—52no—
218#893—52no—
219#892—54no—
220D3×C4⋊C4—54no—
221#887—52no—
222#887—52no—
223#67⋊C4—54no—
224#67⋊C4—58no—
225#67⋊C4—58no—
226#67⋊C4—58no—
227#67⋊C4—54no—
228D3×C22⋊C4—58no—
229#877—58no—
230C4×D12—54no—
231#872—54no—
232C42×D3—54no—
233C4×Dic6—54no—
234C24×C5—34no—
235C24×C5C22×D312yes—
236C5×#41—332no—
237C5×#41—316no—
238C2×C5×Q8—32no—
239C2×C5×D4—332no—
240C2×C5×D4—38no—
241C2×C5×D4—34no—
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—31no—
251C22×Dic5—31no—
252C22×Dic5—34no—
253C22×Dic5—32no—
254C22×Dic5—34no—
255C22×Dic5—34no—
256C22×Dic5—38no—
257C22×Dic5—128no—
258C22×Dic5—124no—
259C22×Dic5C22×D314yes—
260C22×Dic5C22×D314yes—
261C22⋊Dic5—38no—
262C22⋊Dic5—34no—
263C22⋊Dic5—34no—
264C22⋊Dic5—38no—
265C22⋊Dic5C22×D318yes—
266C22⋊Dic5C22×D314yes—
267C4⋊Dic5—34no—
268C4⋊Dic5—38no—
269C4⋊Dic5—34no—
270C4⋊Dic5—34no—
271C4⋊Dic5C22×D312yes—
272C4⋊Dic5C22×D312yes—
273C4×Dic5—32no—
274C4×Dic5—32no—
275C4×Dic5—34no—
276C4×Dic5—34no—
277C4×Dic5—38no—
278C4×Dic5C22×D314yes—
279C2×H(5,𝔽2)—31no—
280#520—152no—
281#520—154no—
282#518—51no—
283#518—154no—
284#518—154no—
285C4×#41—152no—
286C4×#41—154no—
287C2×C4×D4—154no—
288C2×C4×D4—154no—
289C2×C4×D4—151no—
290C22×C3×C5—24no—
291C22×C3×C5—21no—
292C22×C3×C5—24no—
293C22×C3×C5—21no—
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—21no—
305Dic15—22no—
306Dic15H(5,𝔽2)12yescomplemented
307C3×Dic5—24no—
308C3×Dic5—24no—
309C5×Dic3C23×C418yes—
310C24×C3C22×D512yes—
311C23×D3C22×D514yes—
312C2×C3×D4C2×Dic518yescomplemented
313C2×C3×D4C22×D514yes—
314C22×C3×C4—54no—
315C22×C3×C4—54no—
316C22×C3×C4C22×D511yescharacteristic
317C2×#67C2×Dic5132yescomplemented
318C2×#67C22×D514yes—
319C2×#67C22×D518yes—
320C22×Dic3—51no—
321C22×Dic3—54no—
322C22×Dic3—51no—
323C22×Dic3—52no—
324C22×Dic3—54no—
325C22×Dic3—204no—
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—52no—
338C3×C4⋊C4—52no—
339C3×C22⋊C4—58no—
340C3×C22⋊C4—54no—
341C3×C42—54no—
342#217—58no—
343(C2×D3)⋊C4—54no—
344(C2×D3)⋊C4—54no—
345(C2×D3)⋊C4—58no—
346C4⋊Dic3—54no—
347Dic3⋊C4—58no—
348Dic3⋊C4—54no—
349Dic3⋊C4—54no—
350C4×Dic3—52no—
351C4×Dic3—52no—
352C4×Dic3—58no—
353C4×Dic3—54no—
354C4×Dic3—54no—
355C23×C5—34no—
356C23×C5—316no—
357C23×C5—42no—
358C23×C5—42no—
359C23×C5—124no—
360C23×C5—124no—
361C23×C5C2×C4×D318yescomplemented
362C23×C5C23×D314yes—
363C23×C5C23×D311yescharacteristic
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—31no—
375C2×Dic5—32no—
376C2×Dic5—31no—
377C2×Dic5—34no—
378C2×Dic5—44no—
379C2×Dic5—44no—
380C2×Dic5—68no—
381C2×Dic5—68no—
382C2×Dic5—62no—
383C2×Dic5—124no—
384C2×Dic5—128no—
385C2×Dic5—121no—
386C2×Dic5—124no—
387C2×Dic5—122no—
388C2×Dic5C23×D314yes—
389C2×Dic5C23×D314yes—
390H(5,𝔽2)—316no—
391C2×#41—34no—
392C2×#41—32no—
393C22×D4—34no—
394C22×D4—34no—
395C22×D4D3×D511yescharacteristic
396C23×C4—154no—
397C23×C4—152no—
398C4×Q8—154no—
399C4×Q8—152no—
400C4×Q8—152no—
401C4×D4—54no—
402C4×D4—54no—
403C4×D4—154no—
404C4×D4—154no—
405C4×D4—158no—
406C4×D4—158no—
407C4×D4—158no—
408C4×D4—154no—
409C4×D4—152no—
410C4×D4—152no—
411C4×D4—158no—
412C4×D4—158no—
413C4×D4—154no—
414C4×D4—154no—
415#117—52no—
416#117—154no—
417#117—158no—
418#117—154no—
419C2×C4⋊C4—154no—
420C2×C4⋊C4—154no—
421C2×C4⋊C4—151no—
422C2×C22⋊C4—54no—
423C2×C22⋊C4—158no—
424C2×C22⋊C4—154no—
425C2×C22⋊C4—152no—
426C2×C42—154no—
427C2×C42—154no—
428C2×C42—151no—
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×D514yes—
439C23×C3C23×D511yescharacteristic
440C22×D3—44no—
441C22×D3—44no—
442C22×D3C22×Dic5116yescomplemented
443C22×D3C23×D514yes—
444C3×D4C22×Dic5116yescomplemented
445C2×C3×C4—54no—
446C2×C3×C4—54no—
447C2×C3×C4—204no—
448C2×C3×C4—204no—
449C2×C3×C4C22×Dic514yescomplemented
450C2×C3×C4C23×D512yes—
451#67C22×Dic5116yescomplemented
452#67C22×Dic5132yescomplemented
453C2×Dic3—51no—
454C2×Dic3—52no—
455C2×Dic3—51no—
456C2×Dic3—54no—
457C2×Dic3—108no—
458C2×Dic3—102no—
459C2×Dic3—201no—
460C2×Dic3—202no—
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—24no—
471C22×C5—21no—
472C22×C5—24no—
473C22×C5—21no—
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—24no—
485Dic5—24no—
486Dic5—32no—
487Dic5—64no—
488Dic5—61no—
489Dic5—62no—
490C24—34no—
491C24C2×D3×D512yes—
492#41—332no—
493#41—316no—
494C2×Q8—32no—
495C2×D4—332no—
496C2×D4—34no—
497C2×D4—38no—
498C2×D4—332no—
499C2×D4—32no—
500C2×D4D3×Dic518yescomplemented
501C2×D4C2×D3×D514yes—
502C22×C4—34no—
503C22×C4—34no—
504C22×C4—54no—
505C22×C4—54no—
506C22×C4—154no—
507C22×C4—154no—
508C22×C4—158no—
509C22×C4—151no—
510C22×C4—154no—
511C22×C4—151no—
512C22×C4—152no—
513C22×C4—154no—
514C22×C4—608no—
515C22×C4—604no—
516C22×C4C2×D3×D511yescharacteristic
517C4⋊C4—52no—
518C4⋊C4—52no—
519C4⋊C4—158no—
520C4⋊C4—154no—
521C4⋊C4—154no—
522C4⋊C4—154no—
523C22⋊C4—54no—
524C22⋊C4—58no—
525C22⋊C4—158no—
526C22⋊C4—154no—
527C22⋊C4—154no—
528C22⋊C4—158no—
529C42—54no—
530C42—154no—
531C42—158no—
532C42—154no—
533C42—152no—
534C42—152no—
535C3×C5C4×H(5,𝔽2)11yescharacteristic, complemented, Hall
536C22×C3—21no—
537C22×C3—24no—
538C22×C3—21no—
539C22×C3—24no—
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—104no—
549C3×C4—104no—
550C3×C4C23×Dic514yes—
551Dic3—52no—
552Dic3—104no—
553Dic3—101no—
554Dic3—102no—
555Dic3C23×Dic518yes—
556C2×C5—22no—
557C2×C5—28no—
558C2×C5—68no—
559C2×C5C23×C4×D311yescharacteristic
560C2×C5D3×H(5,𝔽2)11yescharacteristic
561C2×C5#596611yescharacteristic
562C23—34no—
563C23—316no—
564C23—42no—
565C23—42no—
566C23—124no—
567C23—124no—
568C23C2×D3×Dic518yescomplemented
569C23C22×D3×D511yescharacteristic
570C23C22×D3×D514yes—
571Q8—38no—
572D4—332no—
573D4—316no—
574D4—38no—
575D4C2×D3×Dic5116yescomplemented
576C2×C4—316no—
577C2×C4—34no—
578C2×C4—316no—
579C2×C4—54no—
580C2×C4—54no—
581C2×C4—151no—
582C2×C4—152no—
583C2×C4—154no—
584C2×C4—151no—
585C2×C4—204no—
586C2×C4—204no—
587C2×C4—308no—
588C2×C4—308no—
589C2×C4—302no—
590C2×C4—608no—
591C2×C4—604no—
592C2×C4—604no—
593C2×C4—602no—
594C2×C4—601no—
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—
603C5#8585711yescharacteristic, complemented, Sylow
604C22—24no—
605C22—21no—
606C22—24no—
607C22—21no—
608C22—38no—
609C22—48no—
610C22—64no—
611C22—64no—
612C22—1216no—
613C22C22×D3×Dic518yes—
614C22C22×D3×Dic512yes—
615C22C23×D3×D511yescharacteristic
616C4—38no—
617C4—104no—
618C4—104no—
619C4—152no—
620C4—304no—
621C4—301no—
622C4—302no—
623C4C22×D3×Dic514yes—
624C3Dic5×H(5,𝔽2)11yescharacteristic, complemented, Sylow
625C2—22no—
626C2—28no—
627C2—68no—
628C2#1175703011yescharacteristic
629C2#1175703611yescharacteristic
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. C2×D4×Dic15C2semidirect
3. C3×#66132C2semidirect
4. #11755410C2semidirect
5. C2×#67⋊Dic5C2semidirect
6. #11754920C2semidirect
7. #11754914C2semidirect
8. Dic5×#237C2semidirect
9. D3×D4×Dic5C2semidirect
10. #11754513C2semidirect
11. #11754455C2semidirect
14. C23×Dic15C22semidirect
16. C5×#1004C4semidirect
20. C22×D3×Dic5C22semidirect
21. C2×#6719C22semidirect
22. D4×Dic15C22semidirect
23. D4×Dic15C22semidirect
24. C2×C4⋊Dic15C22semidirect
25. C2×C4×Dic15C22semidirect
26. C2×C3×C22⋊Dic5C22semidirect
27. C3×D4×Dic5C22semidirect
28. C3×D4×Dic5C22semidirect
29. C3×#4072C22semidirect
30. #67⋊Dic5C22semidirect
31. #67⋊Dic5C22semidirect
32. #67⋊Dic5C22semidirect
33. #67⋊Dic5C22semidirect
34. #67⋊Dic5C22semidirect
35. D3×C22⋊Dic5C22semidirect
36. Dic5×#67C22semidirect
37. Dic5×#67C22semidirect
38. C2×Dic3⋊Dic5C22semidirect
39. C2×(C2×D3)⋊Dic5C22semidirect
40. #91529C22semidirect
41. C2×Dic3×Dic5C22semidirect
42. #91435C22semidirect
43. #91435C22semidirect
44. D3×C4⋊Dic5C22semidirect
45. Dic5×D12C22semidirect
46. C4×D3×Dic5C22semidirect
47. #91371C22semidirect
48. #91344C22semidirect
49. #91344C22semidirect
50. #91338C22semidirect
51. Dic5×Dic6C22semidirect
60. #66132D3semidirect
66. C2×C3×C5×D4C2×C4semidirect
75. C2×C5×#67C2×C4semidirect
79. C5×#237C2×C4semidirect
80. C5×D3×D4C2×C4semidirect
81. C5×#235C2×C4semidirect
131. C2×C22⋊Dic5C2×D3semidirect
147. D4×Dic5C2×D3semidirect
148. D4×Dic5C2×D3semidirect
152. #4072C2×D3semidirect
162. C23×C3×C5C22×C4semidirect
167. C22×C5×D3C22×C4semidirect
169. C3×C5×D4C22×C4semidirect
170. C2×C3×C4×C5C22×C4semidirect
181. C5×#67C22×C4semidirect
182. C5×#67C22×C4semidirect
183. C2×C5×Dic3C22×C4semidirect
185. C5×D12C22×C4semidirect
186. C4×C5×D3C22×C4semidirect
187. C5×Dic6C22×C4semidirect
198. #1004Dic5semidirect
244. C2×C5×D4C4×D3semidirect
306. Dic15H(5,𝔽2)semidirect
312. C2×C3×D4C2×Dic5semidirect
317. 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
449. C2×C3×C4C22×Dic5semidirect
451. #67C22×Dic5semidirect
452. #67C22×Dic5semidirect
462. C2×Dic3C22×Dic5semidirect
464. D12C22×Dic5semidirect
468. C4×D3C22×Dic5semidirect
469. Dic6C22×Dic5semidirect
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. C5#85857semidirect
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
C2×D4×Dic152
C3×#661322
#117554102
C2×#67⋊Dic52
#117549202
#117549142
Dic5×#2372
D3×D4×Dic52
#117545132
#117544552
Dic5×H(5,𝔽2)3
#858575