Finite Group Databasebeta

← C3×D5×#461 #14425861

Subgroups — C3×D5×#461 #14425861

Order 1920.

1088 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D5×SD16C212yesmaximal
2C3×D5×C4⋊Q8C211yesmaximal, characteristic, complemented
3C3×C4×D4×D5C211yesmaximal, characteristic
4C3×C5×#461C211yesmaximal, characteristic, complemented
5C3×#65451C212yesmaximal, complemented
6C3×#65372C211yesmaximal, characteristic, complemented
7C3×#65308C211yesmaximal, characteristic, complemented
8C3×#65130C211yesmaximal, characteristic, complemented
9C3×D5×C4⋊C8C211yesmaximal, characteristic, complemented
10C3×#65107C212yesmaximal, complemented
11C3×D5×#103C212yesmaximal, complemented
12D5×#461C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5C2212yes—
14C2×C3×D4×D5C2211yescharacteristic
15C22×C3×C4×D5—21no—
16C2×C3×C5×SD16C2212yes—
17C3×C5×C4⋊Q8C2211yescharacteristic, complemented
18C3×C4×C5×D4C2211yescharacteristic
19C3×#4090C2212yescomplemented
20C2×C3×#688C2212yes—
21C3×D4×Dic5C2211yescharacteristic
22C2×C3×#687C2212yes—
23C3×C4×C22⋊D5—21no—
24C3×D5×SD16—28no—
25C2×C3×#677C2212yes—
26C2×C3×C8×D5C2212yes—
27C3×#4039C2211yescharacteristic
28C3×D5×C4⋊C4—21no—
29C3×D5×C4⋊C4—21no—
30C3×D5×C4⋊C4C2211yescharacteristic
31C3×#4034—21no—
32C3×#4034—21no—
33C3×#4027—21no—
34C3×D5×C22⋊C4—21no—
35C3×C4×D20C2211yescharacteristic
36C3×C42×D5C2211yescharacteristic
37C3×#4015C2211yescharacteristic, complemented
38C3×C5×C4⋊C8C2211yescharacteristic, complemented
39C3×C5×#103C2212yescomplemented
40C3×#3967C2212yescomplemented
41C3×#3948C2212yescomplemented
42C3×#3946C2212yescomplemented
43C3×#3942C2212yescomplemented
44C3×C4⋊#168C2211yescharacteristic, complemented
45C2×C3×#461—51nomaximal, Hall
46C2×D5×SD16C2×C312yes—
47D5×C4⋊Q8C2×C311yescharacteristic, complemented
48C4×D4×D5C2×C311yescharacteristic
49C5×#461C2×C311yescharacteristic, complemented
50#65451C2×C312yescomplemented
51#65372C2×C311yescharacteristic, complemented
52#65308C2×C311yescharacteristic, complemented
53#65130C2×C311yescharacteristic, complemented
54D5×C4⋊C8C2×C311yescharacteristic, complemented
55#65107C2×C312yescomplemented
56D5×#103C2×C312yescomplemented
57C23×C3×D5—21no—
58C2×C3×C5×Q8C2312yes—
59C2×C3×C5×D4C2311yescharacteristic
60C22×C3×C4×C5—21no—
61C2×C3×C22⋊D5—21no—
62C22×C3×Dic5—21no—
63C3×Q8×D5—24no—
64C3×Q8×D5—24no—
65C3×D4×D5—22no—
66C3×D4×D5D414yes—
67C2×C3×D20C2311yescharacteristic
68C2×C3×C4×D5—21no—
69C2×C3×C4×D5—22no—
70C2×C3×C4×D5—21no—
71C2×C3×C4×D5—21no—
72C2×C3×C4×D5—44no—
73C2×C3×C4×D5D411yescharacteristic
74C2×C3×C4×D5D411yescharacteristic
75C2×C3×C4×D5C2311yescharacteristic
76C2×C3×Dic10—22no—
77C2×C3×Dic10C2312yes—
78C3×C5×SD16—24no—
79C2×C3×C5×C8C2312yes—
80C3×C5×C4⋊C4—21no—
81C3×C5×C4⋊C4—21no—
82C3×C5×C4⋊C4C2311yescharacteristic
83C3×C5×C22⋊C4—21no—
84C3×C42×C5C2311yescharacteristic
85C3×C22⋊Dic5—21no—
86C3×#688—24no—
87C3×#687—24no—
88C3×#685—21no—
89C3×#685—21no—
90C3×C4⋊Dic5—21no—
91C3×C4⋊Dic5—21no—
92C3×C4⋊Dic5C2311yescharacteristic
93C3×#683—22no—
94C3×#683—22no—
95C3×#683—21no—
96C3×C4×Dic5D411yescharacteristic
97C3×C4×Dic5D411yescharacteristic
98C3×C4×Dic5C2311yescharacteristic
99C2×C3×#168C2312yes—
100C3×#677—24no—
101C3×C8×D5—24no—
102C22×C3×SD16—52no—
103C2×C3×C4⋊Q8—51no—
104C2×C3×C4×D4—51no—
105C3×#461—52no—
106C3×#461—51no—
107C3×#461—51no—
108C3×#461—51no—
109C3×#461—52no—
110C3×#461D511yescharacteristic, direct product factor
111C2×C3×C4⋊C8—51no—
112C2×C3×#103—52no—
113C2×Q8×D5C22×C312yes—
114C2×D4×D5C22×C311yescharacteristic
115C22×C4×D5—21no—
116C2×C5×SD16C22×C312yes—
117C5×C4⋊Q8C22×C311yescharacteristic, complemented
118C4×C5×D4C22×C311yescharacteristic
119#4090C22×C312yescomplemented
120C2×#688C22×C312yes—
121D4×Dic5C22×C311yescharacteristic
122C2×#687C22×C312yes—
123C4×C22⋊D5—21no—
124D5×SD16—28no—
125C2×#677C22×C312yes—
126C2×C8×D5C22×C312yes—
127#4039C22×C311yescharacteristic
128D5×C4⋊C4—21no—
129D5×C4⋊C4—21no—
130D5×C4⋊C4C22×C311yescharacteristic
131#4034—21no—
132#4034—21no—
133#4027—21no—
134D5×C22⋊C4—21no—
135C4×D20C22×C311yescharacteristic
136C42×D5C22×C311yescharacteristic
137#4015C22×C311yescharacteristic, complemented
138C5×C4⋊C8C22×C311yescharacteristic, complemented
139C5×#103C22×C312yescomplemented
140#3967C22×C312yescomplemented
141#3948C22×C312yescomplemented
142#3946C22×C312yescomplemented
143#3942C22×C312yescomplemented
144C4⋊#168C22×C311yescharacteristic, complemented
145C2×#461—51noSylow
146C23×C3×C5—21no—
147C22×C3×D5—21no—
148C22×C3×D5—24no—
149C22×C3×D5—42no—
150C22×C3×D5—42no—
151C22×C3×D5C2×D411yescharacteristic
152C3×C5×Q8—22no—
153C3×C5×Q8—22no—
154C3×C5×D4—21no—
155C3×C5×D4C2×D412yes—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—21no—
158C2×C3×C4×C5—42no—
159C2×C3×C4×C5C2×D411yescharacteristic
160C2×C3×C4×C5C2×D411yescharacteristic
161C2×C3×C4×C5C2411yescharacteristic
162C3×C22⋊D5—24no—
163C2×C3×Dic5—22no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—42no—
166C2×C3×Dic5C2×D411yescharacteristic
167C2×C3×Dic5C2×D411yescharacteristic
168C2×C3×Dic5C2×D411yescharacteristic
169C3×D20—21no—
170C3×D20C2×D412yes—
171C3×C4×D5—22no—
172C3×C4×D5—44no—
173C3×C4×D5—42no—
174C3×C4×D5—42no—
175C3×C4×D5—42no—
176C3×C4×D5SD1614yescomplemented
177C3×C4×D5C2×D412yes—
178C3×C4×D5#4112yes—
179C3×Dic10—22no—
180C3×Dic10—22no—
181C3×Dic10—44no—
182C3×C5×C8—22no—
183C3×#168—22no—
184C22×C3×Q8—52no—
185C22×C3×D4—51no—
186C23×C3×C4—101no—
187C2×C3×SD16—52no—
188C2×C3×SD16—52no—
189C2×C3×SD16—52no—
190C2×C3×SD16—108no—
191C2×C3×SD16C2×D512yes—
192C22×C3×C8—52no—
193C3×C4⋊Q8—52no—
194C3×C4⋊Q8—51no—
195C3×C4⋊Q8—101no—
196C3×C4⋊Q8—101no—
197C3×C4⋊Q8C2×D511yescharacteristic, complemented
198C3×C4×D4—51no—
199C3×C4×D4—51no—
200C3×C4×D4—51no—
201C3×C4×D4—101no—
202C3×C4×D4—101no—
203C3×C4×D4C2×D511yescharacteristic
204C2×C3×C4⋊C4—51no—
205C2×C3×C4⋊C4—101no—
206C2×C3×C4⋊C4—101no—
207C2×C3×C22⋊C4—101no—
208C2×C3×C42—51no—
209C3×C4⋊C8—52no—
210C3×C4⋊C8—51no—
211C3×C4⋊C8C2×D511yescharacteristic, complemented
212C3×#103—52no—
213C3×#103—52no—
214C3×#103—52no—
215C3×#103C2×D512yescomplemented
216C23×D5—21no—
217C2×C5×Q8C23×C312yes—
218C2×C5×D4C23×C311yescharacteristic
219C22×C4×C5—21no—
220C2×C22⋊D5—21no—
221C22×Dic5—21no—
222Q8×D5—24no—
223Q8×D5—24no—
224D4×D5—22no—
225D4×D5C3×D414yes—
226C2×D20C23×C311yescharacteristic
227C2×C4×D5—21no—
228C2×C4×D5—22no—
229C2×C4×D5—21no—
230C2×C4×D5—21no—
231C2×C4×D5—44no—
232C2×C4×D5C3×D411yescharacteristic
233C2×C4×D5C3×D411yescharacteristic
234C2×C4×D5C23×C311yescharacteristic
235C2×Dic10—22no—
236C2×Dic10C23×C312yes—
237C5×SD16—24no—
238C2×C5×C8C23×C312yes—
239C5×C4⋊C4—21no—
240C5×C4⋊C4—21no—
241C5×C4⋊C4C23×C311yescharacteristic
242C5×C22⋊C4—21no—
243C42×C5C23×C311yescharacteristic
244C22⋊Dic5—21no—
245#688—24no—
246#687—24no—
247#685—21no—
248#685—21no—
249C4⋊Dic5—21no—
250C4⋊Dic5—21no—
251C4⋊Dic5C23×C311yescharacteristic
252#683—21no—
253#683—22no—
254#683—22no—
255C4×Dic5C3×D411yescharacteristic
256C4×Dic5C3×D411yescharacteristic
257C4×Dic5C23×C311yescharacteristic
258C2×#168C23×C312yes—
259#677—24no—
260C8×D5—24no—
261C22×SD16—52no—
262C2×C4⋊Q8—51no—
263C2×C4×D4—51no—
264#461—52no—
265#461—51no—
266#461—51no—
267#461—51no—
268#461—52no—
269#461C3×D511yescharacteristic, direct product factor
270C2×C4⋊C8—51no—
271C2×#103—52no—
272C22×C3×C5—22no—
273C22×C3×C5—41no—
274C22×C3×C5—41no—
275C22×C3×C5C22×D411yescharacteristic
276C2×C3×D5—22no—
277C2×C3×D5—41no—
278C2×C3×D5—41no—
279C2×C3×D5—48no—
280C2×C3×D5#12112yes—
281C2×C3×D5C2×SD1612yes—
282C2×C3×D5#13712yes—
283C3×C4×C5—21no—
284C3×C4×C5—42no—
285C3×C4×C5—41no—
286C3×C4×C5C2×SD1612yescomplemented
287C3×C4×C5C22×D411yescharacteristic
288C3×C4×C5C2×#4111yescharacteristic
289C3×Dic5—21no—
290C3×Dic5—42no—
291C3×Dic5—41no—
292C3×Dic5#12112yes—
293C3×Dic5C2×SD1612yescomplemented
294C24×C3—101no—
295C2×C3×Q8—52no—
296C2×C3×Q8—102no—
297C2×C3×Q8—104no—
298C2×C3×Q8—104no—
299C2×C3×Q8C22×D512yes—
300C2×C3×D4—54no—
301C2×C3×D4—51no—
302C2×C3×D4—102no—
303C2×C3×D4—101no—
304C2×C3×D4C22×D511yescharacteristic
305C22×C3×C4—21no—
306C22×C3×C4—51no—
307C22×C3×C4—51no—
308C22×C3×C4—51no—
309C22×C3×C4—101no—
310C22×C3×C4—101no—
311C22×C3×C4—102no—
312C22×C3×C4—101no—
313C22×C3×C4—101no—
314C22×C3×C4—204no—
315C3×SD16—24no—
316C3×SD16—104no—
317C3×SD16—104no—
318C3×SD16—104no—
319C2×C3×C8—52no—
320C2×C3×C8—104no—
321C2×C3×C8C22×D512yes—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—51no—
325C3×C4⋊C4—101no—
326C3×C4⋊C4—102no—
327C3×C4⋊C4—102no—
328C3×C4⋊C4—101no—
329C3×C4⋊C4—101no—
330C3×C4⋊C4C22×D511yescharacteristic
331C3×C22⋊C4—21no—
332C3×C22⋊C4—101no—
333C3×C22⋊C4—101no—
334C3×C22⋊C4—101no—
335C3×C42—51no—
336C3×C42—51no—
337C3×C42—51no—
338C3×C42C22×D511yescharacteristic
339C23×C5—21no—
340C22×D5—21no—
341C22×D5—24no—
342C22×D5—42no—
343C22×D5—42no—
344C22×D5C2×C3×D411yescharacteristic
345C5×Q8—22no—
346C5×Q8—22no—
347C5×D4—21no—
348C5×D4C2×C3×D412yes—
349C2×C4×C5—22no—
350C2×C4×C5—21no—
351C2×C4×C5—42no—
352C2×C4×C5C2×C3×D411yescharacteristic
353C2×C4×C5C2×C3×D411yescharacteristic
354C2×C4×C5C24×C311yescharacteristic
355C22⋊D5—24no—
356C2×Dic5—22no—
357C2×Dic5—21no—
358C2×Dic5—42no—
359C2×Dic5C2×C3×D411yescharacteristic
360C2×Dic5C2×C3×D411yescharacteristic
361C2×Dic5C2×C3×D411yescharacteristic
362D20—21no—
363D20C2×C3×D412yes—
364C4×D5—22no—
365C4×D5—44no—
366C4×D5—42no—
367C4×D5—42no—
368C4×D5—42no—
369C4×D5C3×SD1614yescomplemented
370C4×D5C2×C3×D412yes—
371C4×D5C3×#4112yes—
372Dic10—22no—
373Dic10—22no—
374Dic10—44no—
375C5×C8—22no—
376#168—22no—
377C22×Q8—52no—
378C22×D4—51no—
379C23×C4—101no—
380C2×SD16—52no—
381C2×SD16—52no—
382C2×SD16—52no—
383C2×SD16—108no—
384C2×SD16C2×C3×D512yes—
385C22×C8—52no—
386C4⋊Q8—52no—
387C4⋊Q8—51no—
388C4⋊Q8—101no—
389C4⋊Q8—101no—
390C4⋊Q8C2×C3×D511yescharacteristic, complemented
391C4×D4—51no—
392C4×D4—51no—
393C4×D4—51no—
394C4×D4—101no—
395C4×D4—101no—
396C4×D4C2×C3×D511yescharacteristic
397C2×C4⋊C4—51no—
398C2×C4⋊C4—101no—
399C2×C4⋊C4—101no—
400C2×C22⋊C4—101no—
401C2×C42—51no—
402C4⋊C8—52no—
403C4⋊C8—51no—
404C4⋊C8C2×C3×D511yescharacteristic, complemented
405#103—52no—
406#103—52no—
407#103—52no—
408#103C2×C3×D512yescomplemented
409C2×C3×C5—42no—
410C2×C3×C5C2×#12111yescharacteristic
411C2×C3×C5C22×SD1611yescharacteristic
412C2×C3×C5C2×#13711yescharacteristic
413C3×D5—42no—
414C3×D5#46114yesdirect product factor
415C23×C3—21no—
416C23×C3—51no—
417C23×C3—104no—
418C23×C3—101no—
419C23×C3—202no—
420C23×C3—202no—
421C3×Q8—22no—
422C3×Q8—22no—
423C3×Q8—102no—
424C3×Q8—102no—
425C3×Q8—204no—
426C3×D4—21no—
427C3×D4—52no—
428C3×D4—104no—
429C3×D4—101no—
430C3×D4D4×D512yes—
431C2×C3×C4—21no—
432C2×C3×C4—22no—
433C2×C3×C4—42no—
434C2×C3×C4—51no—
435C2×C3×C4—51no—
436C2×C3×C4—52no—
437C2×C3×C4—52no—
438C2×C3×C4—54no—
439C2×C3×C4—51no—
440C2×C3×C4—102no—
441C2×C3×C4—101no—
442C2×C3×C4—102no—
443C2×C3×C4—202no—
444C2×C3×C4—202no—
445C2×C3×C4—204no—
446C2×C3×C4—202no—
447C2×C3×C4—202no—
448C2×C3×C4D4×D511yescharacteristic
449C2×C3×C4D4×D511yescharacteristic
450C2×C3×C4C23×D511yescharacteristic
451C3×C8—22no—
452C3×C8—102no—
453C22×C5—22no—
454C22×C5—41no—
455C22×C5—41no—
456C22×C5C22×C3×D411yescharacteristic
457C2×D5—22no—
458C2×D5—41no—
459C2×D5—41no—
460C2×D5—48no—
461C2×D5C3×#12112yes—
462C2×D5C2×C3×SD1612yes—
463C2×D5C3×#13712yes—
464C4×C5—21no—
465C4×C5—41no—
466C4×C5—42no—
467C4×C5C2×C3×SD1612yescomplemented
468C4×C5C22×C3×D411yescharacteristic
469C4×C5C2×C3×#4111yescharacteristic
470Dic5—21no—
471Dic5—41no—
472Dic5—42no—
473Dic5C3×#12112yes—
474Dic5C2×C3×SD1612yescomplemented
475C24—101no—
476C2×Q8—52no—
477C2×Q8—102no—
478C2×Q8—104no—
479C2×Q8—104no—
480C2×Q8C22×C3×D512yes—
481C2×D4—54no—
482C2×D4—51no—
483C2×D4—102no—
484C2×D4—101no—
485C2×D4C22×C3×D511yescharacteristic
486C22×C4—21no—
487C22×C4—51no—
488C22×C4—51no—
489C22×C4—51no—
490C22×C4—101no—
491C22×C4—101no—
492C22×C4—102no—
493C22×C4—101no—
494C22×C4—101no—
495C22×C4—204no—
496SD16—24no—
497SD16—104no—
498SD16—104no—
499SD16—104no—
500C2×C8—52no—
501C2×C8—104no—
502C2×C8C22×C3×D512yes—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—51no—
506C4⋊C4—101no—
507C4⋊C4—102no—
508C4⋊C4—102no—
509C4⋊C4—101no—
510C4⋊C4—101no—
511C4⋊C4C22×C3×D511yescharacteristic
512C22⋊C4—21no—
513C22⋊C4—101no—
514C22⋊C4—101no—
515C22⋊C4—101no—
516C42—51no—
517C42—51no—
518C42—51no—
519C42C22×C3×D511yescharacteristic
520C3×C5C2×#46111yescharacteristic, complemented, Hall
521C22×C3—22no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—52no—
525C22×C3—52no—
526C22×C3—52no—
527C22×C3—102no—
528C22×C3—208no—
529C22×C3—201no—
530C22×C3—201no—
531C22×C3C2×D4×D511yescharacteristic
532C3×C4—21no—
533C3×C4—41no—
534C3×C4—42no—
535C3×C4—52no—
536C3×C4—52no—
537C3×C4—101no—
538C3×C4—201no—
539C3×C4—202no—
540C3×C4D5×SD1612yescomplemented
541C3×C4C2×D4×D511yescharacteristic
542C3×C4D5×#4111yescharacteristic
543C2×C5—42no—
544C2×C5C2×C3×#12111yescharacteristic
545C2×C5C22×C3×SD1611yescharacteristic
546C2×C5C2×C3×#13711yescharacteristic
547D5—42no—
548D5C3×#46114yesdirect product factor
549C23—21no—
550C23—51no—
551C23—104no—
552C23—101no—
553C23—202no—
554C23—202no—
555Q8—22no—
556Q8—22no—
557Q8—102no—
558Q8—102no—
559Q8—204no—
560D4—21no—
561D4—52no—
562D4—104no—
563D4—101no—
564D4C3×D4×D512yes—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—42no—
568C2×C4—51no—
569C2×C4—51no—
570C2×C4—52no—
571C2×C4—52no—
572C2×C4—54no—
573C2×C4—51no—
574C2×C4—102no—
575C2×C4—101no—
576C2×C4—102no—
577C2×C4—202no—
578C2×C4—202no—
579C2×C4—204no—
580C2×C4—202no—
581C2×C4—202no—
582C2×C4C3×D4×D511yescharacteristic
583C2×C4C3×D4×D511yescharacteristic
584C2×C4C23×C3×D511yescharacteristic
585C8—22no—
586C8—102no—
587C2×C3—42no—
588C2×C3—54no—
589C2×C3—202no—
590C2×C3D5×#12111yescharacteristic
591C2×C3C2×D5×SD1611yescharacteristic
592C2×C3D5×#13711yescharacteristic
593C5C2×C3×#46111yescharacteristic, complemented, Sylow
594C22—22no—
595C22—41no—
596C22—41no—
597C22—52no—
598C22—52no—
599C22—52no—
600C22—102no—
601C22—208no—
602C22—201no—
603C22—201no—
604C22C2×C3×D4×D511yescharacteristic
605C4—21no—
606C4—42no—
607C4—41no—
608C4—52no—
609C4—52no—
610C4—101no—
611C4—202no—
612C4—201no—
613C4C3×D5×SD1612yescomplemented
614C4C2×C3×D4×D511yescharacteristic
615C4C3×D5×#4111yescharacteristic
616C3D5×#46111yescharacteristic, direct product factor, Sylow
617C2—42no—
618C2—54no—
619C2—202no—
620C2C3×D5×#12111yescharacteristic
621C2C2×C3×D5×SD1611yescharacteristic
622C2C3×D5×#13711yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C5×#461C2
socleC22×C3×C5C22×D4
prime radicalC2×C3×D4×D5C22
hypercenterC3×#461D5
hypocenterC5C2×C3×#461
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#461

Complements

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

NH ≅ G/Ntype
2. C3×D5×C4⋊Q8C2semidirect
4. C3×C5×#461C2semidirect
5. C3×#65451C2semidirect
6. C3×#65372C2semidirect
7. C3×#65308C2semidirect
8. C3×#65130C2semidirect
9. C3×D5×C4⋊C8C2semidirect
10. C3×#65107C2semidirect
11. C3×D5×#103C2semidirect
12. D5×#461C3direct (N × H)
17. C3×C5×C4⋊Q8C22semidirect
19. C3×#4090C22semidirect
37. C3×#4015C22semidirect
38. C3×C5×C4⋊C8C22semidirect
39. C3×C5×#103C22semidirect
40. C3×#3967C22semidirect
41. C3×#3948C22semidirect
42. C3×#3946C22semidirect
43. C3×#3942C22semidirect
44. C3×C4⋊#168C22semidirect
47. D5×C4⋊Q8C2×C3semidirect
49. C5×#461C2×C3semidirect
50. #65451C2×C3semidirect
51. #65372C2×C3semidirect
52. #65308C2×C3semidirect
53. #65130C2×C3semidirect
54. D5×C4⋊C8C2×C3semidirect
55. #65107C2×C3semidirect
56. D5×#103C2×C3semidirect
110. C3×#461D5direct (N × H)
117. C5×C4⋊Q8C22×C3semidirect
119. #4090C22×C3semidirect
137. #4015C22×C3semidirect
138. C5×C4⋊C8C22×C3semidirect
139. C5×#103C22×C3semidirect
140. #3967C22×C3semidirect
141. #3948C22×C3semidirect
142. #3946C22×C3semidirect
143. #3942C22×C3semidirect
144. C4⋊#168C22×C3semidirect
176. C3×C4×D5SD16semidirect
197. C3×C4⋊Q8C2×D5semidirect
211. C3×C4⋊C8C2×D5semidirect
215. C3×#103C2×D5semidirect
269. #461C3×D5direct (N × H)
286. C3×C4×C5C2×SD16semidirect
293. C3×Dic5C2×SD16semidirect
369. C4×D5C3×SD16semidirect
390. C4⋊Q8C2×C3×D5semidirect
404. C4⋊C8C2×C3×D5semidirect
408. #103C2×C3×D5semidirect
414. C3×D5#461direct (N × H)
467. C4×C5C2×C3×SD16semidirect
474. Dic5C2×C3×SD16semidirect
520. C3×C5C2×#461semidirect
540. C3×C4D5×SD16semidirect
548. D5C3×#461direct (N × H)
593. C5C2×C3×#461semidirect
613. C4C3×D5×SD16semidirect
616. C3D5×#461direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D5×SD162
C3×D5×C4⋊Q82
C3×C4×D4×D52
C3×C5×#4612
C3×#654512
C3×#653722
C3×#653082
C3×#651302
C3×D5×C4⋊C82
C3×#651072
C3×D5×#1032
D5×#4613
C2×C3×#4615