Finite Group Databasebeta

← #14329050

Subgroups — #14329050

Order 1920.

1376 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#121C211yesmaximal, characteristic
2C2×D4×Dic15C211yesmaximal, characteristic, complemented
3C2×#91815C211yesmaximal, characteristic, complemented
4#11751322C211yesmaximal, characteristic, complemented
5#11751322C212yesmaximal, complemented
6#11751321C212yesmaximal, complemented
7C4×#6719C211yesmaximal, characteristic, complemented
8#11751085C211yesmaximal, characteristic, complemented
9C4⋊C4×Dic15C211yesmaximal, characteristic, complemented
10#11751052C212yesmaximal, complemented
11C22⋊C4×Dic15C212yesmaximal, complemented
12#10614368—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×C3×C5×D4C2212yes—
15C23×C3×C4×C5C2211yescharacteristic
16C23×Dic15C2212yes—
17C3×C5×#121C418yescomplemented
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2212yes—
20C2×#6719C2212yes—
21C2×#6719C2212yes—
22C2×#6719C2212yes—
23C2×#6719C2211yescharacteristic
24C2×#6719C2211yescharacteristic
25C2×#6719C2212yes—
26D4×Dic15—24no—
27#91815—24no—
28C2×C4⋊Dic15C2211yescharacteristic
29C2×C4⋊Dic15C2212yes—
30C2×C4⋊Dic15C2211yescharacteristic
31C2×C4×Dic15C2212yes—
32C2×C4×Dic15C2211yescharacteristic
33C2×C4×Dic15C2211yescharacteristic
34C2×C4×Dic15C2212yes—
35#91115C2211yescharacteristic
36#91115C2212yes—
37#91115C2211yescharacteristic
38#91115C2212yes—
39#82637—51nomaximal, Hall
40C2×C5×#121D311yescharacteristic
41C2×D4×Dic5—31no—
42C2×#4072—31no—
43#65510—32no—
44#65510—31no—
45#65509—32no—
46C4×C22⋊Dic5—31no—
47#65274—31no—
48C4⋊C4×Dic5—31no—
49#65240—32no—
50C22⋊C4×Dic5—32no—
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2312yes—
53C2×C3×C5×D4—22no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—42no—
56C2×C3×C5×D4—42no—
57C2×C3×C5×D4C2×C414yes—
58C2×C3×C5×D4C2×C418yescomplemented
59C22×C3×C4×C5—22no—
60C22×C3×C4×C5—22no—
61C22×C3×C4×C5C2×C414yescomplemented
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C22×Dic15—24no—
66C22×Dic15—24no—
67C22×Dic15—42no—
68C22×Dic15C2312yes—
69C22×Dic15C2311yescharacteristic
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2312yes—
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2311yescharacteristic
74C3×C5×C4⋊C4C2×C414yescomplemented
75C3×C5×C22⋊C4C2×C418yescomplemented
76#6719—24no—
77#6719—24no—
78#6719—24no—
79#6719—22no—
80#6719—22no—
81#6719—42no—
82C4⋊Dic15—22no—
83C4⋊Dic15—42no—
84C4⋊Dic15D414yescomplemented
85C4×Dic15—22no—
86C4×Dic15—22no—
87C4×Dic15—24no—
88C4×Dic15—42no—
89C2×C3×#121D511yescharacteristic
90C2×D4×Dic3—51no—
91C2×#926—51no—
92#5221—51no—
93#5221—52no—
94#5220—52no—
95C4×#217—51no—
96#4984—51no—
97Dic3×C4⋊C4—51no—
98#4951—52no—
99Dic3×C22⋊C4—52no—
100C22×C5×D4C2×D311yescharacteristic
101C22×C5×D4C2×D312yes—
102C23×C4×C5C2×D311yescharacteristic
103C23×Dic5—32no—
104C5×#121Dic318yescomplemented
105C2×C5×C4⋊C4C2×D311yescharacteristic
106C2×C5×C22⋊C4C2×D312yes—
107C2×C22⋊Dic5—32no—
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5—31no—
111C2×C22⋊Dic5—31no—
112C2×C22⋊Dic5—32no—
113D4×Dic5—64no—
114#4072—64no—
115C2×C4⋊Dic5—31no—
116C2×C4⋊Dic5—31no—
117C2×C4⋊Dic5—32no—
118C2×C4×Dic5—32no—
119C2×C4×Dic5—31no—
120C2×C4×Dic5—31no—
121C2×C4×Dic5—32no—
122#3963—31no—
123#3963—32no—
124#3963—31no—
125#3963—32no—
126#2363—151noSylow
127C23×C3×C5—21no—
128C23×C3×C5—22no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5—21no—
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—21no—
138C23×C3×C5—21no—
139C23×C3×C5C22×C414yes—
140C23×C3×C5C22×C412yes—
141C23×C3×C5C2411yescharacteristic
142C3×C5×D4—28no—
143C3×C5×D4—48no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—28no—
149C2×C3×C4×C5C22×C412yes—
150C2×C3×C4×C5C22×C414yes—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5#4112yes—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—22no—
157C2×Dic15—21no—
158C2×Dic15—22no—
159C2×Dic15—21no—
160C2×Dic15—22no—
161C2×Dic15—21no—
162C2×Dic15—21no—
163C2×Dic15—22no—
164C2×Dic15—21no—
165C2×Dic15—21no—
166C2×Dic15—21no—
167C2×Dic15—22no—
168C2×Dic15—21no—
169C2×Dic15—48no—
170C2×Dic15C2×D414yes—
171C2×Dic15#4112yes—
172C2×Dic15#4112yes—
173C22×C3×D4C2×D511yescharacteristic
174C22×C3×D4C2×D512yes—
175C23×C3×C4C2×D511yescharacteristic
176C23×Dic3—52no—
177C3×#121Dic518yescomplemented
178C2×C3×C4⋊C4C2×D511yescharacteristic
179C2×C3×C22⋊C4C2×D512yes—
180C2×#217—52no—
181C2×#217—52no—
182C2×#217—51no—
183C2×#217—51no—
184C2×#217—52no—
185C2×#217—52no—
186D4×Dic3—104no—
187#926—104no—
188C2×C4⋊Dic3—51no—
189C2×C4⋊Dic3—51no—
190C2×C4⋊Dic3—52no—
191C2×C4×Dic3—52no—
192C2×C4×Dic3—51no—
193C2×C4×Dic3—51no—
194C2×C4×Dic3—52no—
195C3⋊#95—51no—
196C3⋊#95—52no—
197C3⋊#95—51no—
198C3⋊#95—52no—
199C24×C5C22×D311yescharacteristic
200C24×C5C22×D312yes—
201C2×C5×D4—22no—
202C2×C5×D4—22no—
203C2×C5×D4—42no—
204C2×C5×D4—42no—
205C2×C5×D4C2×Dic314yes—
206C2×C5×D4C2×Dic318yescomplemented
207C22×C4×C5—22no—
208C22×C4×C5—22no—
209C22×C4×C5C2×Dic314yescomplemented
210C22×C4×C5C22×D311yescharacteristic
211C22×C4×C5C22×D312yes—
212C22×C4×C5C22×D311yescharacteristic
213C22×Dic5—31no—
214C22×Dic5—32no—
215C22×Dic5—31no—
216C22×Dic5—31no—
217C22×Dic5—32no—
218C22×Dic5—31no—
219C22×Dic5—64no—
220C22×Dic5—64no—
221C22×Dic5—122no—
222C5×C4⋊C4C2×Dic314yescomplemented
223C5×C22⋊C4C2×Dic318yescomplemented
224C22⋊Dic5—64no—
225C22⋊Dic5—62no—
226C22⋊Dic5—62no—
227C22⋊Dic5—64no—
228C22⋊Dic5—64no—
229C22⋊Dic5—122no—
230C4⋊Dic5—34no—
231C4⋊Dic5—62no—
232C4⋊Dic5—122no—
233C4×Dic5—64no—
234C4×Dic5—62no—
235C4×Dic5—62no—
236C4×Dic5—122no—
237C2×#121D1511yescharacteristic
238C2×C4×D4—151no—
239C2×#117—151no—
240#390—151no—
241#390—152no—
242#389—151no—
243#388—152no—
244#386—152no—
245C4×C4⋊C4—151no—
246C4×C22⋊C4—151no—
247C4×C22⋊C4—152no—
248C22×C3×C5—22no—
249C22×C3×C5—24no—
250C22×C3×C5—22no—
251C22×C3×C5—24no—
252C22×C3×C5—22no—
253C22×C3×C5—24no—
254C22×C3×C5—42no—
255C22×C3×C5—41no—
256C22×C3×C5—41no—
257C22×C3×C5—42no—
258C22×C3×C5—41no—
259C22×C3×C5—42no—
260C22×C3×C5—41no—
261C22×C3×C5—42no—
262C22×C3×C5C23×C411yescharacteristic
263C22×C3×C5C22×D411yescharacteristic
264C22×C3×C5C2×#4111yescharacteristic
265C22×C3×C5C2×#4111yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5H(5,𝔽2)11yescharacteristic
268C22×C3×C5H(5,𝔽2)11yescharacteristic
269C3×C4×C5—22no—
270C3×C4×C5—24no—
271C3×C4×C5C4×D414yes—
272Dic15—22no—
273Dic15—24no—
274Dic15—22no—
275Dic15—42no—
276Dic15—41no—
277Dic15—41no—
278C24×C3C22×D511yescharacteristic
279C24×C3C22×D512yes—
280C2×C3×D4—22no—
281C2×C3×D4—22no—
282C2×C3×D4—42no—
283C2×C3×D4—42no—
284C2×C3×D4C2×Dic514yes—
285C2×C3×D4C2×Dic518yescomplemented
286C22×C3×C4—22no—
287C22×C3×C4—22no—
288C22×C3×C4C2×Dic514yescomplemented
289C22×C3×C4C22×D511yescharacteristic
290C22×C3×C4C22×D512yes—
291C22×C3×C4C22×D511yescharacteristic
292C22×Dic3—51no—
293C22×Dic3—51no—
294C22×Dic3—52no—
295C22×Dic3—51no—
296C22×Dic3—52no—
297C22×Dic3—51no—
298C22×Dic3—104no—
299C22×Dic3—104no—
300C22×Dic3—202no—
301C3×C4⋊C4C2×Dic514yescomplemented
302C3×C22⋊C4C2×Dic518yescomplemented
303#217—104no—
304#217—104no—
305#217—104no—
306#217—102no—
307#217—102no—
308#217—202no—
309C4⋊Dic3—54no—
310C4⋊Dic3—102no—
311C4⋊Dic3—202no—
312C4×Dic3—104no—
313C4×Dic3—102no—
314C4×Dic3—102no—
315C4×Dic3—202no—
316C23×C5—21no—
317C23×C5—22no—
318C23×C5—21no—
319C23×C5—22no—
320C23×C5—22no—
321C23×C5—22no—
322C23×C5—21no—
323C23×C5—21no—
324C23×C5—21no—
325C23×C5—22no—
326C23×C5—21no—
327C23×C5—22no—
328C23×C5C22×Dic314yes—
329C23×C5C22×Dic312yes—
330C23×C5C23×D311yescharacteristic
331C5×D4—28no—
332C5×D4—48no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—28no—
338C2×C4×C5D3×D412yes—
339C2×C4×C5#23712yes—
340C2×C4×C5C22×Dic312yes—
341C2×C4×C5C22×Dic314yes—
342C2×C4×C5C22×Dic312yes—
343C2×Dic5—34no—
344C2×Dic5—32no—
345C2×Dic5—32no—
346C2×Dic5—61no—
347C2×Dic5—61no—
348C2×Dic5—61no—
349C2×Dic5—62no—
350C2×Dic5—61no—
351C2×Dic5—62no—
352C2×Dic5—62no—
353C2×Dic5—61no—
354C2×Dic5—61no—
355C2×Dic5—61no—
356C2×Dic5—62no—
357C2×Dic5—61no—
358C2×Dic5—62no—
359C2×Dic5—61no—
360C2×Dic5—61no—
361C2×Dic5—128no—
362C22×D4C2×D1511yescharacteristic
363C22×D4C2×D1512yes—
364C23×C4—152no—
365C23×C4C2×D1511yescharacteristic
366#121Dic1518yescomplemented
367C4×D4—304no—
368#117—304no—
369C2×C4⋊C4—151no—
370C2×C4⋊C4—151no—
371C2×C4⋊C4—152no—
372C2×C4⋊C4C2×D1511yescharacteristic
373C2×C22⋊C4—152no—
374C2×C22⋊C4—152no—
375C2×C22⋊C4—151no—
376C2×C22⋊C4—151no—
377C2×C22⋊C4—152no—
378C2×C22⋊C4—152no—
379C2×C22⋊C4C2×D1512yes—
380C2×C42—152no—
381C2×C42—151no—
382C2×C42—151no—
383C2×C42—152no—
384#95—151no—
385#95—152no—
386#95—151no—
387#95—152no—
388C2×C3×C5—42no—
389C2×C3×C5—44no—
390C2×C3×C5C2×C4×D411yescharacteristic
391C2×C3×C5C4×#4111yescharacteristic
392C2×C3×C5#51811yescharacteristic
393C2×C3×C5#54611yescharacteristic
394C2×C3×C5#55011yescharacteristic
395C2×C3×C5#55311yescharacteristic
396C2×C3×C5#55511yescharacteristic
397C23×C3—21no—
398C23×C3—22no—
399C23×C3—21no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—22no—
407C23×C3—21no—
408C23×C3—22no—
409C23×C3C22×Dic514yes—
410C23×C3C22×Dic512yes—
411C23×C3C23×D511yescharacteristic
412C3×D4—28no—
413C3×D4—48no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—28no—
419C2×C3×C4D4×D512yes—
420C2×C3×C4#71112yes—
421C2×C3×C4C22×Dic512yes—
422C2×C3×C4C22×Dic514yes—
423C2×C3×C4C22×Dic512yes—
424C2×Dic3—54no—
425C2×Dic3—52no—
426C2×Dic3—52no—
427C2×Dic3—101no—
428C2×Dic3—101no—
429C2×Dic3—101no—
430C2×Dic3—102no—
431C2×Dic3—101no—
432C2×Dic3—102no—
433C2×Dic3—102no—
434C2×Dic3—101no—
435C2×Dic3—101no—
436C2×Dic3—101no—
437C2×Dic3—102no—
438C2×Dic3—101no—
439C2×Dic3—102no—
440C2×Dic3—101no—
441C2×Dic3—101no—
442C2×Dic3—208no—
443C22×C5—22no—
444C22×C5—24no—
445C22×C5—22no—
446C22×C5—24no—
447C22×C5—22no—
448C22×C5—24no—
449C22×C5—41no—
450C22×C5—42no—
451C22×C5—42no—
452C22×C5—41no—
453C22×C5—41no—
454C22×C5—42no—
455C22×C5—41no—
456C22×C5—42no—
457C22×C5C2×D3×D411yescharacteristic
458C22×C5C2×#23711yescharacteristic
459C22×C5#100411yescharacteristic
460C22×C5#100411yescharacteristic
461C22×C5D3×#4111yescharacteristic
462C22×C5D3×#4111yescharacteristic
463C22×C5C23×Dic311yescharacteristic
464C4×C5—22no—
465C4×C5—24no—
466C4×C5D4×Dic314yes—
467Dic5—64no—
468Dic5—62no—
469Dic5—62no—
470Dic5—122no—
471Dic5—121no—
472Dic5—121no—
473C24C22×D1511yescharacteristic
474C24C22×D1512yes—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4C2×Dic1514yes—
480C2×D4C2×Dic1518yescomplemented
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—151no—
484C22×C4—151no—
485C22×C4—152no—
486C22×C4—151no—
487C22×C4—151no—
488C22×C4—152no—
489C22×C4—304no—
490C22×C4—304no—
491C22×C4—602no—
492C22×C4C2×Dic1514yescomplemented
493C22×C4C22×D1511yescharacteristic
494C22×C4C22×D1512yes—
495C22×C4C22×D1511yescharacteristic
496C4⋊C4—154no—
497C4⋊C4—302no—
498C4⋊C4—602no—
499C4⋊C4C2×Dic1514yescomplemented
500C22⋊C4—304no—
501C22⋊C4—304no—
502C22⋊C4—302no—
503C22⋊C4—304no—
504C22⋊C4—302no—
505C22⋊C4—602no—
506C22⋊C4C2×Dic1518yescomplemented
507C42—304no—
508C42—302no—
509C42—302no—
510C42—602no—
511C3×C5#236311yescharacteristic, complemented, Hall
512C22×C3—22no—
513C22×C3—24no—
514C22×C3—22no—
515C22×C3—24no—
516C22×C3—22no—
517C22×C3—24no—
518C22×C3—41no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—42no—
524C22×C3—41no—
525C22×C3—42no—
526C22×C3C2×D4×D511yescharacteristic
527C22×C3C2×#71111yescharacteristic
528C22×C3#414411yescharacteristic
529C22×C3#414411yescharacteristic
530C22×C3D5×#4111yescharacteristic
531C22×C3D5×#4111yescharacteristic
532C22×C3C23×Dic511yescharacteristic
533C3×C4—22no—
534C3×C4—24no—
535C3×C4D4×Dic514yes—
536Dic3—104no—
537Dic3—102no—
538Dic3—102no—
539Dic3—202no—
540Dic3—201no—
541Dic3—201no—
542C2×C5—42no—
543C2×C5—44no—
544C2×C5#559911yescharacteristic
545C2×C5#561211yescharacteristic
546C2×C5#561411yescharacteristic
547C2×C5#561611yescharacteristic
548C2×C5C2×D4×Dic311yescharacteristic
549C2×C5#579811yescharacteristic
550C2×C5Dic3×#4111yescharacteristic
551C23—21no—
552C23—22no—
553C23—21no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—22no—
561C23—21no—
562C23—22no—
563C23C22×Dic1514yes—
564C23C22×Dic1512yes—
565C23C23×D1511yescharacteristic
566D4—28no—
567D4—48no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—28no—
573C2×C4—154no—
574C2×C4—152no—
575C2×C4—152no—
576C2×C4—301no—
577C2×C4—301no—
578C2×C4—301no—
579C2×C4—302no—
580C2×C4—301no—
581C2×C4—302no—
582C2×C4—301no—
583C2×C4—302no—
584C2×C4—301no—
585C2×C4—301no—
586C2×C4—302no—
587C2×C4—301no—
588C2×C4—301no—
589C2×C4—302no—
590C2×C4—301no—
591C2×C4—608no—
592C2×C4D4×D1512yes—
593C2×C4#681912yes—
594C2×C4C22×Dic1512yes—
595C2×C4C22×Dic1514yes—
596C2×C4C22×Dic1512yes—
597C2×C3—42no—
598C2×C3—44no—
599C2×C3#6593311yescharacteristic
600C2×C3#6594611yescharacteristic
601C2×C3#6594811yescharacteristic
602C2×C3#6595011yescharacteristic
603C2×C3C2×D4×Dic511yescharacteristic
604C2×C3#6613211yescharacteristic
605C2×C3#41×Dic511yescharacteristic
606C5#8263711yescharacteristic, complemented, Sylow
607C22—22no—
608C22—24no—
609C22—22no—
610C22—24no—
611C22—22no—
612C22—24no—
613C22—41no—
614C22—42no—
615C22—42no—
616C22—41no—
617C22—41no—
618C22—42no—
619C22—41no—
620C22—42no—
621C22C2×D4×D1511yescharacteristic
622C22C2×#681911yescharacteristic
623C22#9209511yescharacteristic
624C22#9209511yescharacteristic
625C22#41×D1511yescharacteristic
626C22#41×D1511yescharacteristic
627C22C23×Dic1511yescharacteristic
628C4—22no—
629C4—24no—
630C4—302no—
631C4—304no—
632C4—302no—
633C4—601no—
634C4—602no—
635C4—601no—
636C4D4×Dic1514yes—
637C3#1061436811yescharacteristic, complemented, Sylow
638C2—42no—
639C2—44no—
640C2#1175635811yescharacteristic
641C2#1175637111yescharacteristic
642C2#1175637311yescharacteristic
643C2#1175637511yescharacteristic
644C2C2×D4×Dic1511yescharacteristic
645C2#1175655711yescharacteristic
646C2#41×Dic1511yescharacteristic
subgroupG/H
center, FrattiniC23C23×D15
commutatorC22×C3×C5C23×C4
Fitting, prime radicalC2×C3×C5×#121C2
socle, cosocleC23×C3×C5C24
hypercenterC2×#121D15
hypocenterC3×C5#2363
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×#121

Complements

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

NH ≅ G/Ntype
2. C2×D4×Dic15C2semidirect
3. C2×#91815C2semidirect
4. #11751322C2semidirect
5. #11751322C2semidirect
6. #11751321C2semidirect
7. C4×#6719C2semidirect
8. #11751085C2semidirect
9. C4⋊C4×Dic15C2semidirect
10. #11751052C2semidirect
11. C22⋊C4×Dic15C2semidirect
17. C3×C5×#121C4semidirect
58. C2×C3×C5×D4C2×C4semidirect
61. C22×C3×C4×C5C2×C4semidirect
74. C3×C5×C4⋊C4C2×C4semidirect
75. C3×C5×C22⋊C4C2×C4semidirect
84. C4⋊Dic15D4semidirect
104. C5×#121Dic3semidirect
177. C3×#121Dic5semidirect
206. C2×C5×D4C2×Dic3semidirect
209. C22×C4×C5C2×Dic3semidirect
222. C5×C4⋊C4C2×Dic3semidirect
223. C5×C22⋊C4C2×Dic3semidirect
285. C2×C3×D4C2×Dic5semidirect
288. C22×C3×C4C2×Dic5semidirect
301. C3×C4⋊C4C2×Dic5semidirect
302. C3×C22⋊C4C2×Dic5semidirect
366. #121Dic15semidirect
480. C2×D4C2×Dic15semidirect
492. C22×C4C2×Dic15semidirect
499. C4⋊C4C2×Dic15semidirect
506. C22⋊C4C2×Dic15semidirect
511. C3×C5#2363semidirect
606. C5#82637semidirect
637. C3#10614368semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1212
C2×D4×Dic152
C2×#918152
#117513222
#117513212
C4×#67192
#117510852
C4⋊C4×Dic152
#117510522
C22⋊C4×Dic152
#106143683
#826375