Finite Group Databasebeta

← #14323448

Subgroups — #14323448

Order 1920.

1616 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#937C211yesmaximal, characteristic
2C2×C3×D4×Dic5C211yesmaximal, characteristic, complemented
3C22×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
4#11751321C211yesmaximal, characteristic, complemented
5#11749517C211yesmaximal, characteristic, complemented
6#11749496C211yesmaximal, characteristic, complemented
7#11749492C212yesmaximal, complemented
8#11749482C212yesmaximal, complemented
9Dic5×#217C211yesmaximal, characteristic, complemented
10#11748747C212yesmaximal, complemented
11#11748675C212yesmaximal, complemented
12#10614309—31nomaximal, Hall
13C24×C5×D3C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×Dic15C2211yescharacteristic
16C22×C5×#67C2212yes—
17C23×C3×Dic5C2211yescharacteristic
18C23×C3×Dic5C2211yescharacteristic, complemented
19C2×#6719C2211yescharacteristic
20C2×#6719C2212yescomplemented
21C2×C5×#217C2211yescharacteristic
22C5×#937C418yescomplemented
23C2×C5×(C2×D3)⋊C4C2212yes—
24C2×C3×C22⋊Dic5C2211yescharacteristic
25C2×C3×C22⋊Dic5C2211yescharacteristic, complemented
26C3×D4×Dic5—24no—
27C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
28C2×C3×C4×Dic5C2211yescharacteristic, complemented
29C2×Dic3⋊Dic5C2212yescomplemented
30C2×(C2×D3)⋊Dic5—24no—
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×Dic3×Dic5C2212yescomplemented
36#91115C2212yescomplemented
37#90994C2212yescomplemented
38#90994C2212yescomplemented
39#82395—51nomaximal, Hall
40C2×C5×#120—31no—
41C22×C22⋊Dic5—31no—
42C2×D4×Dic5D311yescharacteristic, complemented
43#65536—31no—
44#65510—32no—
45#65509—31no—
46#65509—32no—
47#65240—32no—
48#65240—32no—
49#65239—31no—
50C22⋊C4×Dic5—31no—
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2311yescharacteristic
53C23×C5×D3—22no—
54C23×C5×D3—22no—
55C23×C5×D3—42no—
56C23×C5×D3—42no—
57C23×C5×D3C2×C414yescomplemented
58C23×C5×D3C2312yes—
59C2×C3×C5×D4—22no—
60C2×C3×C5×D4—22no—
61C2×C3×C5×D4C2×C414yes—
62C22×C3×C4×C5C2311yescharacteristic
63C22×Dic15—22no—
64C22×Dic15—42no—
65C22×Dic15C2312yes—
66C22×Dic15C2312yes—
67C2×C5×#67—42no—
68C2×C5×#67—42no—
69C2×C5×#67C2×C418yescomplemented
70C22×C5×Dic3C2312yes—
71C22×C3×Dic5—22no—
72C22×C3×Dic5—42no—
73C22×C3×Dic5—42no—
74C22×C3×Dic5D414yescomplemented
75C22×C3×Dic5C2311yescharacteristic
76C22×C3×Dic5C2311yescharacteristic
77C22×C3×Dic5C2311yescharacteristic
78C22×C3×Dic5C2311yescharacteristic
79#6719—22no—
80#6719—42no—
81C5×#217C2×C414yescomplemented
82C5×(C2×D3)⋊C4C2×C418yescomplemented
83C3×C22⋊Dic5—22no—
84C3×C22⋊Dic5—22no—
85C3×C4⋊Dic5—22no—
86C3×C4×Dic5—22no—
87Dic3⋊Dic5—42no—
88(C2×D3)⋊Dic5—24no—
89(C2×D3)⋊Dic5—24no—
90(C2×D3)⋊Dic5—42no—
91(C2×D3)⋊Dic5—42no—
92Dic3×Dic5—42no—
93C2×C3×C4×D4—51no—
94C2×#937D511yescharacteristic
95C22×(C2×D3)⋊C4—51no—
96#5220—51no—
97#5213—52no—
98C4×#217—51no—
99#4990—52no—
100#4957—52no—
101#4955—51no—
102#4946—51no—
103#4940—52no—
104C25×C5—31no—
105C22×C5×D4—32no—
106C22×C5×D4C2×D311yescharacteristic
107C23×Dic5—31no—
108C23×Dic5C2×D311yescharacteristic
109C23×Dic5C2×D311yescharacteristic, complemented
110C5×#120—38no—
111C2×C5×C22⋊C4—31no—
112C2×C5×C22⋊C4—32no—
113C2×C22⋊Dic5—31no—
114C2×C22⋊Dic5—32no—
115C2×C22⋊Dic5—32no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5—32no—
119C2×C22⋊Dic5—64no—
120C2×C22⋊Dic5C2×D311yescharacteristic
121C2×C22⋊Dic5C2×D311yescharacteristic, complemented
122D4×Dic5—24no—
123C2×C4⋊Dic5—32no—
124C2×C4⋊Dic5C2×D311yescharacteristic, complemented
125C2×C4×Dic5—32no—
126C2×C4×Dic5C2×D311yescharacteristic, complemented
127#3963—32no—
128#3963—32no—
129#3963—32no—
130#2321—151noSylow
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5—21no—
134C23×C3×C5—21no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5C22×C412yes—
138C23×C3×C5C22×C412yes—
139C23×C3×C5C2×D412yes—
140C23×C3×C5#4112yes—
141C23×C3×C5C2411yescharacteristic
142C22×C5×D3—28no—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3—22no—
149C22×C5×D3—48no—
150C22×C5×D3—44no—
151C22×C5×D3—44no—
152C22×C5×D3—48no—
153C22×C5×D3C22×C414yes—
154C3×C5×D4—28no—
155C2×C3×C4×C5—21no—
156C2×C3×C4×C5—21no—
157C2×C3×C4×C5C22×C412yes—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15—44no—
165C5×#67—48no—
166C2×C5×Dic3—22no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3C22×C414yes—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—44no—
176C2×C3×Dic5—44no—
177C2×C3×Dic5C2×D412yes—
178C2×C3×Dic5C2×D412yes—
179C24×D3C2×D511yescharacteristic
180C22×C3×D4C2×D511yescharacteristic
181C23×C3×C4—51no—
182C23×C3×C4—51no—
183C22×#67C2×D512yes—
184C23×Dic3—51no—
185C3×C4×D4—104no—
186C2×C3×C4⋊C4—51no—
187C2×C3×C22⋊C4—51no—
188C2×C3×C22⋊C4—51no—
189C2×C3×C42—51no—
190C2×#217—51no—
191C2×#217—52no—
192C2×#217C2×D511yescharacteristic
193#937Dic518yescomplemented
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—104no—
199C2×(C2×D3)⋊C4C2×D512yes—
200C2×Dic3⋊C4—52no—
201C2×C4×Dic3—52no—
202C3⋊#95—52no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C24×C5—32no—
206C24×C5—34no—
207C24×C5—62no—
208C24×C5—62no—
209C24×C5—122no—
210C24×C5—122no—
211C24×C5C22×D311yescharacteristic
212C24×C5C22×D311yescharacteristic
213C2×C5×D4—22no—
214C2×C5×D4—22no—
215C2×C5×D4—38no—
216C2×C5×D4—122no—
217C2×C5×D4—122no—
218C2×C5×D4C4×D314yes—
219C22×C4×C5—32no—
220C22×C4×C5C22×D311yescharacteristic
221C22×Dic5—22no—
222C22×Dic5—32no—
223C22×Dic5—32no—
224C22×Dic5—42no—
225C22×Dic5—42no—
226C22×Dic5—62no—
227C22×Dic5—122no—
228C22×Dic5#6714yescomplemented
229C22×Dic5C22×D311yescharacteristic
230C22×Dic5C22×D311yescharacteristic
231C22×Dic5C22×D311yescharacteristic
232C22×Dic5C22×D311yescharacteristic
233C5×C22⋊C4—34no—
234C5×C22⋊C4—38no—
235C22⋊Dic5—22no—
236C22⋊Dic5—22no—
237C22⋊Dic5—62no—
238C22⋊Dic5—64no—
239C22⋊Dic5—64no—
240C22⋊Dic5—122no—
241C22⋊Dic5—122no—
242C22⋊Dic5—122no—
243C4⋊Dic5—22no—
244C4⋊Dic5—122no—
245C4×Dic5—22no—
246C4×Dic5—122no—
247C2×#120—31no—
248C2×C4×D4—51no—
249C22×C22⋊C4—151no—
250#390—152no—
251#388—152no—
252#388—152no—
253#386—152no—
254#386—151no—
255#385—151no—
256#379—151no—
257C4×C22⋊C4—151no—
258C22×C3×C5—24no—
259C22×C3×C5—22no—
260C22×C3×C5—22no—
261C22×C3×C5—24no—
262C22×C3×C5—22no—
263C22×C3×C5—24no—
264C22×C3×C5—41no—
265C22×C3×C5—41no—
266C22×C3×C5—42no—
267C22×C3×C5C4×D414yes—
268C22×C3×C5C23×C411yescharacteristic
269C22×C3×C5C22×D411yescharacteristic
270C22×C3×C5C2×#4111yescharacteristic
271C22×C3×C5H(5,𝔽2)12yes—
272C22×C3×C5H(5,𝔽2)12yes—
273C2×C5×D3—24no—
274C2×C5×D3—24no—
275C2×C5×D3—24no—
276C2×C5×D3—416no—
277C2×C5×D3—42no—
278C2×C5×D3—42no—
279C2×C5×D3—42no—
280C2×C5×D3—42no—
281C3×C4×C5—22no—
282Dic15—42no—
283Dic15—42no—
284C3×Dic5—22no—
285C3×Dic5—22no—
286C3×Dic5—41no—
287C3×Dic5—41no—
288C5×Dic3—24no—
289C24×C3C22×D511yescharacteristic
290C24×C3C22×D511yescharacteristic
291C23×D3—22no—
292C23×D3—22no—
293C23×D3—42no—
294C23×D3—42no—
295C23×D3C2×Dic514yescomplemented
296C23×D3C22×D512yes—
297C2×C3×D4—22no—
298C2×C3×D4—22no—
299C2×C3×D4C2×Dic514yes—
300C22×C3×C4—51no—
301C22×C3×C4—51no—
302C22×C3×C4—54no—
303C22×C3×C4—51no—
304C22×C3×C4—51no—
305C22×C3×C4—102no—
306C22×C3×C4—202no—
307C22×C3×C4—202no—
308C22×C3×C4C22×D511yescharacteristic
309C2×#67—42no—
310C2×#67—42no—
311C2×#67C2×Dic518yescomplemented
312C22×Dic3—52no—
313C22×Dic3—52no—
314C22×Dic3—102no—
315C22×Dic3—202no—
316C22×Dic3C22×D512yes—
317C3×C4⋊C4—102no—
318C3×C22⋊C4—102no—
319C3×C22⋊C4—102no—
320C3×C42—102no—
321#217—102no—
322#217—202no—
323#217C2×Dic514yescomplemented
324(C2×D3)⋊C4—104no—
325(C2×D3)⋊C4—104no—
326(C2×D3)⋊C4—202no—
327(C2×D3)⋊C4—202no—
328(C2×D3)⋊C4C2×Dic518yescomplemented
329Dic3⋊C4—202no—
330C4×Dic3—202no—
331C23×C5—22no—
332C23×C5—22no—
333C23×C5—21no—
334C23×C5—22no—
335C23×C5—22no—
336C23×C5—21no—
337C23×C5—34no—
338C23×C5—68no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5—62no—
344C23×C5—62no—
345C23×C5—128no—
346C23×C5—124no—
347C23×C5—128no—
348C23×C5—124no—
349C23×C5C2×C4×D312yes—
350C23×C5C2×C4×D312yes—
351C23×C5#23512yes—
352C23×C5C2×#6712yes—
353C23×C5C23×D311yescharacteristic
354C5×D4—28no—
355C5×D4—128no—
356C2×C4×C5—21no—
357C2×C4×C5—21no—
358C2×C4×C5—34no—
359C2×C4×C5—62no—
360C2×C4×C5—62no—
361C2×C4×C5C2×C4×D312yes—
362C2×Dic5—22no—
363C2×Dic5—22no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—44no—
369C2×Dic5—44no—
370C2×Dic5—62no—
371C2×Dic5—62no—
372C2×Dic5—62no—
373C2×Dic5—62no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—124no—
377C2×Dic5C2×#6712yes—
378C2×Dic5C2×#6712yes—
379C25—31no—
380C22×D4—32no—
381C22×D4D3×D511yescharacteristic
382C23×C4—51no—
383C23×C4—51no—
384C23×C4—151no—
385#120—38no—
386C4×D4—104no—
387C2×C4⋊C4—51no—
388C2×C4⋊C4—152no—
389C2×C22⋊C4—31no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—51no—
392C2×C22⋊C4—51no—
393C2×C22⋊C4—152no—
394C2×C22⋊C4—152no—
395C2×C22⋊C4—151no—
396C2×C22⋊C4—152no—
397C2×C22⋊C4—152no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—304no—
400C2×C42—51no—
401C2×C42—152no—
402#95—152no—
403#95—152no—
404#95—152no—
405C2×C3×C5—24no—
406C2×C3×C5—42no—
407C2×C3×C5C2×C4×D411yescharacteristic
408C2×C3×C5#51812yes—
409C2×C3×C5#53411yescharacteristic
410C2×C3×C5#53511yescharacteristic
411C2×C3×C5#53812yes—
412C5×D3—44no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—21no—
416C23×C3—21no—
417C23×C3—22no—
418C23×C3—22no—
419C23×C3D4×D512yes—
420C23×C3#71112yes—
421C23×C3C22×Dic512yes—
422C23×C3C22×Dic512yes—
423C23×C3C23×D511yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—28no—
431C22×D3—48no—
432C22×D3—44no—
433C22×D3—44no—
434C22×D3—48no—
435C22×D3C22×Dic514yes—
436C3×D4—28no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—52no—
440C2×C3×C4—52no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4—102no—
446C2×C3×C4—102no—
447C2×C3×C4—204no—
448C2×C3×C4—204no—
449C2×C3×C4C22×Dic512yes—
450#67—48no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—102no—
454C2×Dic3—102no—
455C2×Dic3—102no—
456C2×Dic3—102no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3—204no—
460C2×Dic3C22×Dic514yes—
461C22×C5—24no—
462C22×C5—22no—
463C22×C5—24no—
464C22×C5—22no—
465C22×C5—22no—
466C22×C5—24no—
467C22×C5—41no—
468C22×C5—42no—
469C22×C5—41no—
470C22×C5—64no—
471C22×C5—64no—
472C22×C5—64no—
473C22×C5—1216no—
474C22×C5—122no—
475C22×C5—122no—
476C22×C5—122no—
477C22×C5—122no—
478C22×C5C4×#6714yes—
479C22×C5C22×C4×D311yescharacteristic
480C22×C5C2×#23511yescharacteristic
481C22×C5#100412yes—
482C22×C5#100912yes—
483C22×C5C22×#6711yescharacteristic
484C4×C5—22no—
485C4×C5—64no—
486Dic5—22no—
487Dic5—22no—
488Dic5—41no—
489Dic5—41no—
490Dic5—122no—
491Dic5—122no—
492C24—32no—
493C24—34no—
494C24—62no—
495C24—62no—
496C24—122no—
497C24—122no—
498C24C2×D3×D511yescharacteristic
499C24C2×D3×D511yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—38no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4D3×Dic514yes—
506C22×C4—32no—
507C22×C4—51no—
508C22×C4—51no—
509C22×C4—54no—
510C22×C4—51no—
511C22×C4—51no—
512C22×C4—102no—
513C22×C4—152no—
514C22×C4—152no—
515C22×C4—202no—
516C22×C4—202no—
517C22×C4—302no—
518C22×C4—602no—
519C22×C4C2×D3×D511yescharacteristic
520C4⋊C4—102no—
521C4⋊C4—602no—
522C22⋊C4—34no—
523C22⋊C4—38no—
524C22⋊C4—102no—
525C22⋊C4—102no—
526C22⋊C4—304no—
527C22⋊C4—304no—
528C22⋊C4—302no—
529C22⋊C4—602no—
530C22⋊C4—602no—
531C22⋊C4—602no—
532C42—102no—
533C42—602no—
534C3×C5#232111yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—24no—
539C22×C3—22no—
540C22×C3—24no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—42no—
544C22×C3D4×Dic514yes—
545C22×C3C2×D4×D511yescharacteristic
546C22×C3C2×#71111yescharacteristic
547C22×C3#414412yes—
548C22×C3#414412yes—
549C22×C3C23×Dic511yescharacteristic
550C2×D3—24no—
551C2×D3—24no—
552C2×D3—24no—
553C2×D3—416no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3—42no—
558C3×C4—22no—
559C3×C4—102no—
560C3×C4—102no—
561C3×C4—201no—
562C3×C4—201no—
563Dic3—24no—
564Dic3—202no—
565Dic3—202no—
566C2×C5—24no—
567C2×C5—42no—
568C2×C5—124no—
569C2×C5#554512yes—
570C2×C5#556012yes—
571C2×C5C2×C4×#6711yescharacteristic
572C2×C5#580411yescharacteristic
573C2×C5#583011yescharacteristic
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—21no—
579C23—21no—
580C23—34no—
581C23—62no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—62no—
586C23—62no—
587C23—68no—
588C23—128no—
589C23—124no—
590C23—124no—
591C23—128no—
592C23C2×D3×Dic512yes—
593C23C2×D3×Dic512yes—
594C23#678212yes—
595C23D5×#6712yes—
596C23C22×D3×D511yescharacteristic
597D4—28no—
598D4—128no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—34no—
602C2×C4—52no—
603C2×C4—52no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—204no—
613C2×C4—204no—
614C2×C4—302no—
615C2×C4—302no—
616C2×C4—302no—
617C2×C4—302no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—604no—
621C2×C4C2×D3×Dic512yes—
622C2×C3—24no—
623C2×C3—42no—
624C2×C3#6592311yescharacteristic
625C2×C3#6592611yescharacteristic
626C2×C3#6592712yes—
627C2×C3C2×D4×Dic511yescharacteristic
628C2×C3#6613212yes—
629D3—44no—
630C5#8239511yescharacteristic, complemented, Sylow
631C22—24no—
632C22—22no—
633C22—22no—
634C22—24no—
635C22—22no—
636C22—24no—
637C22—41no—
638C22—41no—
639C22—42no—
640C22—64no—
641C22—64no—
642C22—64no—
643C22—1216no—
644C22—122no—
645C22—122no—
646C22—122no—
647C22—122no—
648C22Dic5×#6714yes—
649C22#9202512yes—
650C22#9202712yes—
651C22C22×D3×Dic511yescharacteristic
652C22C2×#678211yescharacteristic
653C22C2×D5×#6711yescharacteristic
654C4—22no—
655C4—64no—
656C4—102no—
657C4—102no—
658C4—201no—
659C4—201no—
660C4—602no—
661C4—602no—
662C3#1061430911yescharacteristic, complemented, Sylow
663C2—24no—
664C2—42no—
665C2—124no—
666C2#1175474812yes—
667C2#1175491412yes—
668C2#1175493211yescharacteristic
669C2#1175494011yescharacteristic
670C2C2×Dic5×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C5×#937C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2321
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×C3×D4×Dic5C2semidirect
3. C22×(C2×D3)⋊Dic5C2semidirect
4. #11751321C2semidirect
5. #11749517C2semidirect
6. #11749496C2semidirect
7. #11749492C2semidirect
8. #11749482C2semidirect
9. Dic5×#217C2semidirect
10. #11748747C2semidirect
11. #11748675C2semidirect
18. C23×C3×Dic5C22semidirect
20. C2×#6719C22semidirect
22. C5×#937C4semidirect
25. C2×C3×C22⋊Dic5C22semidirect
27. C2×C3×C4⋊Dic5C22semidirect
28. C2×C3×C4×Dic5C22semidirect
29. C2×Dic3⋊Dic5C22semidirect
35. C2×Dic3×Dic5C22semidirect
36. #91115C22semidirect
37. #90994C22semidirect
38. #90994C22semidirect
42. C2×D4×Dic5D3semidirect
57. C23×C5×D3C2×C4semidirect
69. C2×C5×#67C2×C4semidirect
74. C22×C3×Dic5D4semidirect
81. C5×#217C2×C4semidirect
82. C5×(C2×D3)⋊C4C2×C4semidirect
109. C23×Dic5C2×D3semidirect
121. C2×C22⋊Dic5C2×D3semidirect
124. C2×C4⋊Dic5C2×D3semidirect
126. C2×C4×Dic5C2×D3semidirect
193. #937Dic5semidirect
228. C22×Dic5#67semidirect
295. C23×D3C2×Dic5semidirect
311. C2×#67C2×Dic5semidirect
323. #217C2×Dic5semidirect
328. (C2×D3)⋊C4C2×Dic5semidirect
534. C3×C5#2321semidirect
630. C5#82395semidirect
662. C3#10614309semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#9372
C2×C3×D4×Dic52
C22×(C2×D3)⋊Dic52
#117513212
#117495172
#117494962
#117494922
#117494822
Dic5×#2172
#117487472
#117486752
#106143093
#823955