Finite Group Databasebeta

← D5×#5516 #14479022

Subgroups — D5×#5516 #14479022

Order 1920.

2976 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D5×Dic6C211yesmaximal, characteristic
2#11756275C211yesmaximal, characteristic, complemented
3C5×#5516C211yesmaximal, characteristic, complemented
4C3×D5×#117C211yesmaximal, characteristic
5D5×#926C211yesmaximal, characteristic
6#11754213C211yesmaximal, characteristic, complemented
7#11754211C211yesmaximal, characteristic, complemented
8#11753397C214yesmaximal, complemented
9D5×#887C214yesmaximal, complemented
10#11753187C214yesmaximal, complemented
11D5×#877C214yesmaximal
12#11752516C214yesmaximal, complemented
13C4×D5×Dic6C214yesmaximal, complemented
14D5×#519—31nomaximal, Hall
15C22×Dic30C2211yescharacteristic
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×#1204C2212yes—
19C22×D5×Dic3C2212yes—
20C2×D5×Dic6C4116yescomplemented
21C2×D5×Dic6C2212yes—
22C2×D5×Dic6C2212yes—
23C2×D5×Dic6C2212yes—
24C2×D5×Dic6C2212yes—
25C3×C5×#117C2211yescharacteristic
26#91815C2211yescharacteristic
27#91776C2214yescomplemented
28#91766C2214yes—
29C4×Dic30C2214yescomplemented
30C5×#926C2211yescharacteristic
31C5×#887C2214yescomplemented
32C5×#877C2214yes—
33C4×C5×Dic6C2214yescomplemented
34C3×#4072C2211yescharacteristic
35C3×#4038C2212yes—
36C3×D5×C4⋊C4C2212yes—
37C3×D5×C22⋊C4C2212yes—
38C3×#4023C2212yes—
39C3×#4018C2212yes—
40C3×C42×D5C2212yes—
41D5×#217C2212yes—
42#91532C2214yes—
43#91529C2214yes—
44#91528C2212yes—
45C4×#1204C2218yescomplemented
46D5×C4⋊Dic3C2212yes—
47#91394C2218yes—
48#91393C2218yes—
49D5×Dic3⋊C4C2218yes—
50C4×D5×Dic3C2218yes—
51C4×D5×Dic3C2212yes—
52#91358C2212yes—
53#91357C2212yes—
54#91344C2214yescomplemented
55#91340C2214yescomplemented
56#91333C2214yescomplemented
57Dic5×Dic6C2214yescomplemented
58#91325C2218yescomplemented
59#91324C2218yescomplemented
60#91323C2218yescomplemented
61C2×#5516—51nomaximal, Hall
62C22×Q8×D5—31no—
63C5×#519—31no—
64#66146—31no—
65#65906—34no—
66#65906—34no—
67C4×Q8×D5—34no—
68C4×Q8×D5—34no—
69D5×#117—34no—
70D5×#117—31no—
71D5×#117D311yescharacteristic
72#65850—31no—
73#65850—34no—
74#65850—31no—
75C23×C3×D5C2311yescharacteristic
76C22×C3×C4×C5C2311yescharacteristic
77C22×Dic15C2312yes—
78C2×Dic30C2×C418yescomplemented
79C2×Dic30C2312yes—
80C2×Dic30C2312yes—
81C22×C5×Dic3C2312yes—
82C2×C5×Dic6C2×C418yescomplemented
83C2×C5×Dic6C2312yes—
84C2×C5×Dic6C2312yes—
85C22×C3×Dic5C2311yescharacteristic
86C2×C3×C4×D5C2×C418yes—
87C2×C3×C4×D5C2314yes—
88C2×C3×C4×D5C2311yescharacteristic
89C2×C3×C4×D5C2311yescharacteristic
90C2×C3×C4×D5C2311yescharacteristic
91C2×C3×C4×D5C2311yescharacteristic
92C2×#1204C2×C4116yescomplemented
93C2×#1204C2314yes—
94C2×#1204C2314yes—
95C2×D5×Dic3C2×C4116yes—
96C2×D5×Dic3C2314yes—
97C2×D5×Dic3C2314yes—
98C2×D5×Dic3C2314yes—
99D5×Dic6C2×C4116yes—
100D5×Dic6C2×C4116yes—
101D5×Dic6C2×C4116yescomplemented
102D5×Dic6C2×C4116yescomplemented
103C3×C5×C4⋊C4C2312yes—
104C3×C5×C22⋊C4C2312yes—
105C3×C42×C5C2312yes—
106#6719C2312yes—
107C4⋊Dic15C2312yes—
108#6712C2318yes—
109C4×Dic15C2318yes—
110C4×Dic15C2312yes—
111C5×#217C2312yes—
112C5×C4⋊Dic3C2312yes—
113C5×Dic3⋊C4C2318yes—
114C4×C5×Dic3C2318yes—
115C4×C5×Dic3C2312yes—
116C3×C22⋊Dic5C2312yes—
117C3×#685C2314yes—
118C3×C4⋊Dic5C2312yes—
119C3×#683C2314yes—
120C3×C4×Dic5C2314yes—
121C3×C4×Dic5C2312yes—
122Dic3⋊Dic5C2318yes—
123#6669C2318yes—
124#6668C2314yes—
125#6665C2314yes—
126Dic3×Dic5C2318yes—
127Dic3×Dic5C2318yes—
128Dic3×Dic5C2314yes—
129C23×Dic6—51no—
130C2×C3×#117—51no—
131C2×#926—51no—
132#5516—51no—
133#5516—51no—
134#5516—51no—
135#5516—54no—
136#5516—54no—
137#5516—54no—
138#5516D511yescharacteristic, direct product factor
139C2×#887—54no—
140C2×#877—54no—
141C2×C4×Dic6—54no—
142C22×C5×Q8—31no—
143C2×Q8×D5—316no—
144C2×Q8×D5—32no—
145C2×Q8×D5—32no—
146C2×Q8×D5—32no—
147C2×Q8×D5—32no—
148C22×C4×D5—32no—
149C22×C4×D5C2×D311yescharacteristic
150C22×Dic10—31no—
151C22×Dic10—32no—
152C4×C5×Q8—34no—
153C4×C5×Q8—34no—
154C5×#117—31no—
155C5×#117—34no—
156C5×#117C2×D311yescharacteristic
157Q8×Dic5—34no—
158Q8×Dic5—34no—
159#4072—31no—
160#4072—34no—
161#4072C2×D311yescharacteristic
162#4038—32no—
163#4038—38no—
164#4038C2×D312yes—
165D5×C4⋊C4—38no—
166D5×C4⋊C4—32no—
167D5×C4⋊C4C2×D312yes—
168#4033—34no—
169#4033—38no—
170#4033—38no—
171#4033—34no—
172D5×C22⋊C4—32no—
173D5×C22⋊C4C2×D312yes—
174#4023—32no—
175#4023—34no—
176#4023—34no—
177#4023C2×D312yes—
178#4018—32no—
179#4018—38no—
180#4018C2×D312yes—
181C42×D5—38no—
182C42×D5—32no—
183C42×D5C2×D312yes—
184C4×Dic10—34no—
185C4×Dic10—34no—
186C4×Dic10—38no—
187C4×Dic10—38no—
188C2×#519—151noSylow
189C23×C3×C5C2411yescharacteristic
190C22×C3×D5—24no—
191C22×C3×D5C22×C414yes—
192C22×C3×D5C2411yescharacteristic
193C22×C3×D5C2411yescharacteristic
194C2×C3×C4×C5C22×C414yes—
195C2×C3×C4×C5C2414yes—
196C2×C3×C4×C5C2411yescharacteristic
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15C22×C418yes—
199C2×Dic15C2414yes—
200C2×Dic15C2414yes—
201Dic30C22×C418yes—
202Dic30C22×C418yes—
203C2×C5×Dic3C22×C418yes—
204C2×C5×Dic3C2414yes—
205C2×C5×Dic3C2414yes—
206C5×Dic6C22×C418yes—
207C5×Dic6C22×C418yes—
208C2×C3×Dic5C22×C414yes—
209C2×C3×Dic5C2414yes—
210C2×C3×Dic5C2411yescharacteristic
211C2×C3×Dic5C2411yescharacteristic
212C3×C4×D5—28no—
213C3×C4×D5C22×C414yes—
214C3×C4×D5C22×C414yes—
215C3×C4×D5C22×C414yes—
216C3×C4×D5C22×C414yes—
217#1204C22×C4116yes—
218#1204C22×C4116yes—
219D5×Dic3—28no—
220D5×Dic3C22×C4116yes—
221D5×Dic3C22×C4116yes—
222C23×C3×C4—51no—
223C23×Dic3—52no—
224C22×Dic6—51no—
225C22×Dic6—52no—
226C22×Dic6—516no—
227C22×Dic6—52no—
228C22×Dic6—52no—
229C22×Dic6—52no—
230C22×Dic6—52no—
231C22×Dic6C2×D511yescharacteristic
232C3×#117—51no—
233C3×#117—52no—
234C3×#117—52no—
235C3×#117—52no—
236C3×#117C2×D511yescharacteristic
237C2×C3×C4⋊C4—52no—
238C2×C3×C22⋊C4—52no—
239C2×C3×C42—52no—
240C2×#217—52no—
241#926—51no—
242#926—52no—
243#926—52no—
244#926—52no—
245#926C2×D511yescharacteristic
246C2×C4⋊Dic3—52no—
247C2×Dic3⋊C4—58no—
248C2×C4×Dic3—58no—
249C2×C4×Dic3—52no—
250#887—54no—
251#887—54no—
252#887—58no—
253#887—58no—
254#887—54no—
255#887C2×D514yescomplemented
256#877—54no—
257#877—54no—
258#877—54no—
259#877—58no—
260#877—58no—
261#877C2×D514yes—
262C4×Dic6—54no—
263C4×Dic6—54no—
264C4×Dic6—54no—
265C4×Dic6—58no—
266C4×Dic6—58no—
267C4×Dic6C2×D514yescomplemented
268C23×D5C22×D311yescharacteristic
269C2×C5×Q8—38no—
270C2×C5×Q8—32no—
271C2×C5×Q8—32no—
272C22×C4×C5—32no—
273C22×C4×C5C22×D311yescharacteristic
274C22×Dic5—32no—
275C22×Dic5C22×D311yescharacteristic
276Q8×D5—316no—
277Q8×D5—316no—
278Q8×D5—316no—
279Q8×D5—316no—
280C2×C4×D5—316no—
281C2×C4×D5—34no—
282C2×C4×D5—34no—
283C2×C4×D5—34no—
284C2×C4×D5C4×D318yes—
285C2×C4×D5C22×D314yes—
286C2×C4×D5C22×D311yescharacteristic
287C2×C4×D5C22×D311yescharacteristic
288C2×C4×D5C22×D311yescharacteristic
289C2×C4×D5C22×D311yescharacteristic
290C2×Dic10—38no—
291C2×Dic10—32no—
292C2×Dic10—32no—
293C2×Dic10—316no—
294C2×Dic10—34no—
295C2×Dic10—34no—
296C5×C4⋊C4—38no—
297C5×C4⋊C4—32no—
298C5×C4⋊C4C22×D312yes—
299C5×C22⋊C4—32no—
300C5×C22⋊C4C22×D312yes—
301C42×C5—38no—
302C42×C5—32no—
303C42×C5C22×D312yes—
304C22⋊Dic5—32no—
305C22⋊Dic5C22×D312yes—
306#685—34no—
307#685C22×D314yes—
308C4⋊Dic5—32no—
309C4⋊Dic5—38no—
310C4⋊Dic5C22×D312yes—
311#683—38no—
312#683—34no—
313#683—38no—
314#683C22×D314yes—
315C4×Dic5—38no—
316C4×Dic5—32no—
317C4×Dic5—38no—
318C4×Dic5—34no—
319C4×Dic5—38no—
320C4×Dic5C22×D314yes—
321C4×Dic5C22×D312yes—
322C23×Q8—151no—
323#519—31no—
324#519—151no—
325#519—154no—
326#519—154no—
327#519—154no—
328#519—151no—
329#519—151no—
330C2×C4×Q8—154no—
331C2×C4×Q8—154no—
332C2×#117—51no—
333C2×#117—154no—
334C2×#117—151no—
335C22×C3×C5—22no—
336C22×C3×C5C23×C412yes—
337C22×C3×C5C2511yescharacteristic
338C2×C3×D5—22no—
339C2×C3×D5—28no—
340C2×C3×D5C23×C412yes—
341C2×C3×D5C23×C412yes—
342C2×C3×D52−1+414yes—
343C3×C4×C5—24no—
344C3×C4×C5C23×C412yes—
345C3×C4×C5C23×C412yes—
346Dic15—24no—
347Dic15C23×C418yes—
348C3×Dic5—24no—
349C3×Dic5C23×C412yes—
350C3×Dic5C23×C412yes—
351C5×Dic3—24no—
352C5×Dic3C23×C418yes—
353C24×C3—51no—
354C22×C3×C4—51no—
355C22×C3×C4—58no—
356C22×C3×C4—51no—
357C22×C3×C4—51no—
358C22×C3×C4—51no—
359C22×C3×C4—51no—
360C22×C3×C4—54no—
361C22×C3×C4C22×D511yescharacteristic
362C22×Dic3—52no—
363C22×Dic3—516no—
364C22×Dic3—54no—
365C22×Dic3—54no—
366C22×Dic3—54no—
367C22×Dic3C22×D512yes—
368C2×Dic6—58no—
369C2×Dic6—52no—
370C2×Dic6—52no—
371C2×Dic6—516no—
372C2×Dic6—54no—
373C2×Dic6—54no—
374C2×Dic6—516no—
375C2×Dic6—516no—
376C2×Dic6—516no—
377C2×Dic6—516no—
378C2×Dic6C4×D518yescomplemented
379C2×Dic6C22×D512yes—
380C2×Dic6C22×D512yes—
381C3×C4⋊C4—54no—
382C3×C4⋊C4—52no—
383C3×C4⋊C4C22×D512yes—
384C3×C22⋊C4—52no—
385C3×C22⋊C4—54no—
386C3×C22⋊C4C22×D512yes—
387C3×C42—54no—
388C3×C42—52no—
389C3×C42C22×D512yes—
390#217—52no—
391#217—54no—
392#217C22×D512yes—
393C4⋊Dic3—52no—
394C4⋊Dic3—54no—
395C4⋊Dic3C22×D512yes—
396Dic3⋊C4—58no—
397Dic3⋊C4—58no—
398Dic3⋊C4—58no—
399Dic3⋊C4C22×D518yes—
400C4×Dic3—58no—
401C4×Dic3—52no—
402C4×Dic3—58no—
403C4×Dic3—58no—
404C4×Dic3—54no—
405C4×Dic3C22×D518yes—
406C4×Dic3C22×D512yes—
407C23×C5C23×D311yescharacteristic
408C22×D5—24no—
409C22×D5C2×C4×D314yes—
410C22×D5C23×D311yescharacteristic
411C22×D5C23×D311yescharacteristic
412C5×Q8—38no—
413C5×Q8—38no—
414C2×C4×C5—38no—
415C2×C4×C5—34no—
416C2×C4×C5—34no—
417C2×C4×C5C2×C4×D314yes—
418C2×C4×C5C23×D314yes—
419C2×C4×C5C23×D311yescharacteristic
420C2×C4×C5C23×D311yescharacteristic
421C2×Dic5—38no—
422C2×Dic5—34no—
423C2×Dic5—34no—
424C2×Dic5C2×C4×D314yes—
425C2×Dic5C23×D314yes—
426C2×Dic5C23×D311yescharacteristic
427C2×Dic5C23×D311yescharacteristic
428C4×D5—28no—
429C4×D5—316no—
430C4×D5—316no—
431C4×D5—68no—
432C4×D5C2×C4×D314yes—
433C4×D5C2×C4×D314yes—
434C4×D5C2×C4×D314yes—
435C4×D5C2×C4×D314yes—
436Dic10—38no—
437Dic10—38no—
438Dic10—316no—
439Dic10—316no—
440C22×Q8—31no—
441C22×Q8—152no—
442C22×Q8—152no—
443C22×Q8—152no—
444C22×Q8—152no—
445C22×Q8—152no—
446C22×Q8—1516no—
447C22×Q8—151no—
448C23×C4—51no—
449C23×C4—152no—
450C4×Q8—34no—
451C4×Q8—34no—
452C4×Q8—158no—
453C4×Q8—158no—
454C4×Q8—154no—
455C4×Q8—158no—
456C4×Q8—154no—
457C4×Q8—154no—
458C4×Q8—158no—
459C4×Q8—154no—
460C4×Q8—154no—
461C4×Q8—154no—
462#117—31no—
463#117—34no—
464#117—51no—
465#117—52no—
466#117—52no—
467#117—52no—
468#117—158no—
469#117—152no—
470#117—154no—
471#117—152no—
472#117—158no—
473#117—154no—
474#117—152no—
475#117—151no—
476#117—154no—
477#117D3×D511yescharacteristic
478C2×C4⋊C4—52no—
479C2×C4⋊C4—158no—
480C2×C4⋊C4—152no—
481C2×C22⋊C4—52no—
482C2×C22⋊C4—152no—
483C2×C42—52no—
484C2×C42—152no—
485C2×C42—158no—
486C2×C3×C5—22no—
487C2×C3×C5C24×C411yescharacteristic
488C2×C3×C5C2×2−1+412yes—
489C3×D5—22no—
490C3×D5#51914yescomplemented
491C23×C3—51no—
492C23×C3—54no—
493C23×C3—51no—
494C23×C3—104no—
495C23×C3C23×D511yescharacteristic
496C2×C3×C4—54no—
497C2×C3×C4—51no—
498C2×C3×C4—51no—
499C2×C3×C4—54no—
500C2×C3×C4—54no—
501C2×C3×C4—54no—
502C2×C3×C4—54no—
503C2×C3×C4—54no—
504C2×C3×C4—108no—
505C2×C3×C4C2×C4×D514yes—
506C2×C3×C4C23×D514yes—
507C2×C3×C4C23×D511yescharacteristic
508C2×C3×C4C23×D511yescharacteristic
509C2×Dic3—58no—
510C2×Dic3—54no—
511C2×Dic3—516no—
512C2×Dic3—516no—
513C2×Dic3—54no—
514C2×Dic3—108no—
515C2×Dic3C2×C4×D518yes—
516C2×Dic3C23×D514yes—
517C2×Dic3C23×D514yes—
518Dic6—58no—
519Dic6—58no—
520Dic6—516no—
521Dic6—516no—
522Dic6C2×C4×D518yes—
523Dic6C2×C4×D518yes—
524C22×C5—22no—
525C22×C5C22×C4×D312yes—
526C22×C5C24×D311yescharacteristic
527C2×D5—22no—
528C2×D5—28no—
529C2×D5C22×C4×D312yes—
530C2×D5C22×C4×D312yes—
531C2×D5#101014yes—
532C4×C5—24no—
533C4×C5—38no—
534C4×C5—64no—
535C4×C5C22×C4×D312yes—
536C4×C5C22×C4×D312yes—
537Dic5—24no—
538Dic5—38no—
539Dic5—64no—
540Dic5C22×C4×D312yes—
541Dic5C22×C4×D312yes—
542C24—51no—
543C2×Q8—38no—
544C2×Q8—32no—
545C2×Q8—32no—
546C2×Q8—154no—
547C2×Q8—154no—
548C2×Q8—1516no—
549C2×Q8—1516no—
550C2×Q8—1516no—
551C2×Q8—1516no—
552C2×Q8—1516no—
553C2×Q8—158no—
554C2×Q8—152no—
555C2×Q8—152no—
556C22×C4—32no—
557C22×C4—51no—
558C22×C4—58no—
559C22×C4—51no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—51no—
563C22×C4—54no—
564C22×C4—154no—
565C22×C4—154no—
566C22×C4—1516no—
567C22×C4—154no—
568C22×C4—152no—
569C22×C4C2×D3×D511yescharacteristic
570C4⋊C4—38no—
571C4⋊C4—32no—
572C4⋊C4—54no—
573C4⋊C4—52no—
574C4⋊C4—158no—
575C4⋊C4—154no—
576C4⋊C4—158no—
577C4⋊C4—158no—
578C4⋊C4—152no—
579C4⋊C4C2×D3×D512yes—
580C22⋊C4—32no—
581C22⋊C4—52no—
582C22⋊C4—54no—
583C22⋊C4—154no—
584C22⋊C4—152no—
585C22⋊C4C2×D3×D512yes—
586C42—38no—
587C42—32no—
588C42—54no—
589C42—52no—
590C42—158no—
591C42—154no—
592C42—158no—
593C42—158no—
594C42—152no—
595C42C2×D3×D512yes—
596C3×C5C2×#51911yescharacteristic, complemented, Hall
597C22×C3—22no—
598C22×C3—52no—
599C22×C3—54no—
600C22×C3—52no—
601C22×C3—108no—
602C22×C3—102no—
603C22×C3C22×C4×D512yes—
604C22×C3C24×D511yescharacteristic
605C3×C4—24no—
606C3×C4—52no—
607C3×C4—52no—
608C3×C4—104no—
609C3×C4C22×C4×D512yes—
610C3×C4C22×C4×D512yes—
611Dic3—24no—
612Dic3—58no—
613Dic3—104no—
614Dic3C22×C4×D518yes—
615C2×C5—22no—
616C2×C5C23×C4×D311yescharacteristic
617C2×C5C2×#101012yes—
618D5—22no—
619D5#551614yesdirect product factor
620C23—51no—
621C23—54no—
622C23—51no—
623C23—104no—
624C23C22×D3×D511yescharacteristic
625Q8—38no—
626Q8—38no—
627Q8—1516no—
628Q8—1516no—
629Q8—158no—
630Q8—158no—
631C2×C4—38no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—54no—
635C2×C4—51no—
636C2×C4—51no—
637C2×C4—54no—
638C2×C4—54no—
639C2×C4—54no—
640C2×C4—54no—
641C2×C4—54no—
642C2×C4—108no—
643C2×C4—1516no—
644C2×C4—1516no—
645C2×C4—158no—
646C2×C4—154no—
647C2×C4—154no—
648C2×C4—308no—
649C2×C4C4×D3×D514yes—
650C2×C4C22×D3×D514yes—
651C2×C4C22×D3×D511yescharacteristic
652C2×C4C22×D3×D511yescharacteristic
653C2×C3—22no—
654C2×C3—54no—
655C2×C3—102no—
656C2×C3C23×C4×D511yescharacteristic
657C2×C3D5×2−1+412yes—
658C5C2×#551611yescharacteristic, complemented, Sylow
659C22—22no—
660C22—52no—
661C22—54no—
662C22—52no—
663C22—108no—
664C22—102no—
665C22C2×C4×D3×D512yes—
666C22C23×D3×D511yescharacteristic
667C4—24no—
668C4—38no—
669C4—52no—
670C4—52no—
671C4—64no—
672C4—104no—
673C4—158no—
674C4—304no—
675C4C2×C4×D3×D512yes—
676C4C2×C4×D3×D512yes—
677C3D5×#51911yescharacteristic, complemented, Sylow
678C2—22no—
679C2—54no—
680C2—102no—
681C2C22×C4×D3×D511yescharacteristic
682C2D5×#101012yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutatorC2×C3×C5C24×C4
FittingC3×C5×#117C22
socle, cosocleC22×C3×C5C25
prime radicalC23×C3×D5C23
hypercenter#117D3×D5
hypocenterC3×C5C2×#519
LCSG ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #117

Complements

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

NH ≅ G/Ntype
2. #11756275C2semidirect
3. C5×#5516C2semidirect
6. #11754213C2semidirect
7. #11754211C2semidirect
8. #11753397C2semidirect
9. D5×#887C2semidirect
10. #11753187C2semidirect
12. #11752516C2semidirect
13. C4×D5×Dic6C2semidirect
20. C2×D5×Dic6C4semidirect
27. #91776C22semidirect
29. C4×Dic30C22semidirect
31. C5×#887C22semidirect
33. C4×C5×Dic6C22semidirect
45. C4×#1204C22semidirect
54. #91344C22semidirect
55. #91340C22semidirect
56. #91333C22semidirect
57. Dic5×Dic6C22semidirect
58. #91325C22semidirect
59. #91324C22semidirect
60. #91323C22semidirect
78. C2×Dic30C2×C4semidirect
82. C2×C5×Dic6C2×C4semidirect
92. C2×#1204C2×C4semidirect
101. D5×Dic6C2×C4semidirect
102. D5×Dic6C2×C4semidirect
138. #5516D5direct (N × H)
255. #887C2×D5semidirect
267. C4×Dic6C2×D5semidirect
378. C2×Dic6C4×D5semidirect
490. C3×D5#519semidirect
596. C3×C5C2×#519semidirect
619. D5#5516direct (N × H)
658. C5C2×#5516semidirect
677. C3D5×#519semidirect

Maximal subgroups

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

subgroupindex
C22×D5×Dic62
#117562752
C5×#55162
C3×D5×#1172
D5×#9262
#117542132
#117542112
#117533972
D5×#8872
#117531872
D5×#8772
#117525162
C4×D5×Dic62
D5×#5193
C2×#55165