Finite Group Databasebeta

← C3×#10601174 #14300524

Subgroups — C3×#10601174 #14300524

Order 1920.

752 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#66162C211yesmaximal, characteristic
2C2×C3×D5×M16C211yesmaximal, characteristic, complemented
3C2×C3×C5×#104C211yesmaximal, characteristic, complemented
4C2×C3×#3969C211yesmaximal, characteristic, complemented
5C3×C4×#685C211yesmaximal, characteristic, complemented
6C3×#64775C211yesmaximal, characteristic, complemented
7C3×#64743C211yesmaximal, characteristic, complemented
8#10601174C311yesmaximal, characteristic, direct product factor, Hall
9C2×C3×C5×#41C2211yescharacteristic
10C22×C3×C4×D5C2211yescharacteristic
11C2×C3×C5×M16C2211yescharacteristic
12C2×C3×C42×C5C2211yescharacteristic
13C3×#4092C411yescharacteristic, complemented
14C3×#4092C411yescharacteristic, complemented
15C3×#4084C411yescharacteristic, complemented
16C3×#4084C411yescharacteristic, complemented
17C3×#4083—21no—
18C3×#4081—21no—
19C3×C4×C22⋊D5—21no—
20C3×C4×C22⋊D5—21no—
21C2×C3×#685—21no—
22C3×#4072C2211yescharacteristic
23C2×C3×C4×Dic5C2211yescharacteristic
24C2×C3×#681C2211yescharacteristic
25C3×D5×M16—22no—
26C3×D5×M16—22no—
27C2×C3×#676—21no—
28C2×C3×C8×D5—21no—
29C3×C5×#104—22no—
30C3×#3969—22no—
31C3×#3963—21no—
32C3×#1871—51nomaximal, Hall
33#66162C2×C311yescharacteristic
34C2×D5×M16C2×C311yescharacteristic, complemented
35C2×C5×#104C2×C311yescharacteristic, complemented
36C2×#3969C2×C311yescharacteristic, complemented
37C4×#685C2×C311yescharacteristic, complemented
38#64775C2×C311yescharacteristic, complemented
39#64743C2×C311yescharacteristic, complemented
40C23×C3×D5D411yescharacteristic
41C3×C5×#41—21no—
42C3×C5×#41—21no—
43C3×C5×#41—21no—
44C3×C5×#41—21no—
45C2×C3×C5×Q8C2×C411yescharacteristic
46C2×C3×C5×D4—21no—
47C2×C3×C5×D4C2×C411yescharacteristic
48C22×C3×C4×C5—21no—
49C22×C3×C4×C5—21no—
50C22×C3×C4×C5C2311yescharacteristic
51C2×C3×C22⋊D5—21no—
52C2×C3×C22⋊D5—21no—
53C22×C3×Dic5—21no—
54C22×C3×Dic5D411yescharacteristic
55C2×C3×C4×D5—21no—
56C2×C3×C4×D5—21no—
57C2×C3×C4×D5—21no—
58C2×C3×C4×D5—21no—
59C2×C3×C4×D5C2×C411yescharacteristic
60C2×C3×C4×D5C2×C411yescharacteristic
61C2×C3×C4×D5D411yescharacteristic
62C2×C3×C4×D5D411yescharacteristic
63C3×C5×M16—21no—
64C3×C5×M16D412yescomplemented
65C2×C3×C5×C8—21no—
66C3×C42×C5—21no—
67C3×C42×C5—21no—
68C3×C22⋊Dic5—21no—
69C3×C22⋊Dic5—21no—
70C3×C22⋊Dic5—21no—
71C3×#685—24no—
72C3×#685—21no—
73C3×#685—21no—
74C3×C4⋊Dic5C2×C411yescharacteristic
75C3×C4⋊Dic5C2×C411yescharacteristic
76C3×#683—21no—
77C3×#683—21no—
78C3×C4×Dic5—21no—
79C3×C4×Dic5—21no—
80C3×C4×Dic5—21no—
81C3×#681—21no—
82C3×#681D412yescomplemented
83C2×C3×#168—21no—
84C3×#676—24no—
85C3×C8×D5—24no—
86C22×C3×M16—51no—
87C3×#525—51no—
88C2×C3×#104—51no—
89C2×C3×#104D511yescharacteristic, complemented
90C3×C4×C22⋊C4—51no—
91C3×#339—51no—
92C3×#339—51no—
93C2×C5×#41C22×C311yescharacteristic
94C22×C4×D5C22×C311yescharacteristic
95C2×C5×M16C22×C311yescharacteristic
96C2×C42×C5C22×C311yescharacteristic
97#4092C3×C411yescharacteristic, complemented
98#4092C3×C411yescharacteristic, complemented
99#4084C3×C411yescharacteristic, complemented
100#4084C3×C411yescharacteristic, complemented
101#4083—21no—
102#4081—21no—
103C4×C22⋊D5—21no—
104C4×C22⋊D5—21no—
105C2×#685—21no—
106#4072C22×C311yescharacteristic
107C2×C4×Dic5C22×C311yescharacteristic
108C2×#681C22×C311yescharacteristic
109D5×M16—22no—
110D5×M16—22no—
111C2×#676—21no—
112C2×C8×D5—21no—
113C5×#104—22no—
114#3969—22no—
115#3963—21no—
116#1871—51noSylow
117C23×C3×C5—21no—
118C23×C3×C5C2×D411yescharacteristic
119C22×C3×D5—21no—
120C22×C3×D5—21no—
121C22×C3×D5—22no—
122C22×C3×D5—41no—
123C22×C3×D5C22⋊C411yescharacteristic
124C22×C3×D5C22⋊C411yescharacteristic
125C3×C5×Q8—21no—
126C3×C5×Q8—21no—
127C3×C5×D4—21no—
128C3×C5×D4—21no—
129C3×C5×D4—41no—
130C3×C5×D4—41no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—21no—
133C2×C3×C4×C5—41no—
134C2×C3×C4×C5—41no—
135C2×C3×C4×C5—41no—
136C2×C3×C4×C5—41no—
137C2×C3×C4×C5C22×C411yescharacteristic
138C2×C3×C4×C5C2×D411yescharacteristic
139C2×C3×C4×C5C2×D411yescharacteristic
140C2×C3×C4×C5C2×D411yescharacteristic
141C2×C3×C4×C5#4111yescharacteristic
142C2×C3×C4×C5#4111yescharacteristic
143C3×C22⋊D5—42no—
144C3×C22⋊D5—42no—
145C2×C3×Dic5—21no—
146C2×C3×Dic5—21no—
147C2×C3×Dic5—22no—
148C2×C3×Dic5—21no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—41no—
151C2×C3×Dic5—41no—
152C2×C3×Dic5C22⋊C411yescharacteristic
153C2×C3×Dic5C22⋊C411yescharacteristic
154C3×C4×D5—21no—
155C3×C4×D5—21no—
156C3×C4×D5—21no—
157C3×C4×D5—21no—
158C3×C4×D5—21no—
159C3×C4×D5—21no—
160C3×C4×D5—21no—
161C3×C4×D5—21no—
162C3×C5×C8—22no—
163C3×#168—22no—
164C2×C3×#41C2×D511yescharacteristic
165C23×C3×C4—51no—
166C2×C3×M16—51no—
167C2×C3×M16—101no—
168C2×C3×M16—102no—
169C2×C3×M16—102no—
170C2×C3×M16C2×D511yescharacteristic
171C22×C3×C8—101no—
172C3×#123—101no—
173C3×C22⋊Q8—51no—
174C3×C22⋊Q8—51no—
175C3×#121—51no—
176C3×#121—51no—
177C3×#120—101no—
178C3×C4×D4—101no—
179C3×C4×D4—101no—
180C3×#117—51no—
181C2×C3×C22⋊C4—101no—
182C2×C3×C42—51no—
183C2×C3×C42C2×D511yescharacteristic
184C3×#104—22no—
185C3×#104—102no—
186C3×#95—101no—
187C23×D5C3×D411yescharacteristic
188C5×#41—21no—
189C5×#41—21no—
190C5×#41—21no—
191C5×#41—21no—
192C2×C5×Q8C2×C3×C411yescharacteristic
193C2×C5×D4—21no—
194C2×C5×D4C2×C3×C411yescharacteristic
195C22×C4×C5—21no—
196C22×C4×C5—21no—
197C22×C4×C5C23×C311yescharacteristic
198C2×C22⋊D5—21no—
199C2×C22⋊D5—21no—
200C22×Dic5—21no—
201C22×Dic5C3×D411yescharacteristic
202C2×C4×D5—21no—
203C2×C4×D5—21no—
204C2×C4×D5—21no—
205C2×C4×D5—21no—
206C2×C4×D5C2×C3×C411yescharacteristic
207C2×C4×D5C2×C3×C411yescharacteristic
208C2×C4×D5C3×D411yescharacteristic
209C2×C4×D5C3×D411yescharacteristic
210C5×M16—21no—
211C5×M16C3×D412yescomplemented
212C2×C5×C8—21no—
213C42×C5—21no—
214C42×C5—21no—
215C22⋊Dic5—21no—
216C22⋊Dic5—21no—
217C22⋊Dic5—21no—
218#685—24no—
219#685—21no—
220#685—21no—
221C4⋊Dic5C2×C3×C411yescharacteristic
222C4⋊Dic5C2×C3×C411yescharacteristic
223#683—21no—
224#683—21no—
225C4×Dic5—21no—
226C4×Dic5—21no—
227C4×Dic5—21no—
228#681—21no—
229#681C3×D412yescomplemented
230C2×#168—21no—
231#676—24no—
232C8×D5—24no—
233C22×M16—51no—
234#525—51no—
235C2×#104—51no—
236C2×#104C3×D511yescharacteristic, complemented
237C4×C22⋊C4—51no—
238#339—51no—
239#339—51no—
240C22×C3×C5—21no—
241C22×C3×C5—21no—
242C22×C3×C5—41no—
243C22×C3×C5—41no—
244C22×C3×C5—41no—
245C22×C3×C5C2×C22⋊C411yescharacteristic
246C22×C3×C5#12111yescharacteristic
247C22×C3×C5#12111yescharacteristic
248C2×C3×D5—21no—
249C2×C3×D5—21no—
250C2×C3×D5—21no—
251C2×C3×D5—21no—
252C2×C3×D5—21no—
253C2×C3×D5—42no—
254C2×C3×D5—42no—
255C2×C3×D5#10412yescomplemented
256C3×C4×C5—42no—
257C3×C4×C5—41no—
258C3×C4×C5C4×D411yescharacteristic
259C3×C4×C5C4×D411yescharacteristic
260C3×C4×C5#12011yescharacteristic
261C3×C4×C5#12311yescharacteristic
262C3×Dic5—21no—
263C3×Dic5—21no—
264C3×Dic5—42no—
265C3×Dic5—41no—
266C3×Dic5—41no—
267C24×C3—51no—
268C3×#41—21no—
269C3×#41—21no—
270C3×#41—21no—
271C3×#41—21no—
272C2×C3×Q8C4×D511yescharacteristic
273C2×C3×D4—21no—
274C2×C3×D4—101no—
275C2×C3×D4—101no—
276C2×C3×D4C4×D511yescharacteristic
277C22×C3×C4—21no—
278C22×C3×C4—21no—
279C22×C3×C4—51no—
280C22×C3×C4—51no—
281C22×C3×C4—51no—
282C22×C3×C4—51no—
283C22×C3×C4—51no—
284C22×C3×C4—101no—
285C22×C3×C4—101no—
286C22×C3×C4—101no—
287C22×C3×C4—101no—
288C22×C3×C4—101no—
289C22×C3×C4C22×D511yescharacteristic
290C3×M16—21no—
291C3×M16—52no—
292C3×M16—104no—
293C3×M16—101no—
294C3×M16C22⋊D512yescomplemented
295C2×C3×C8—21no—
296C2×C3×C8—104no—
297C2×C3×C8—101no—
298C3×C4⋊C4—51no—
299C3×C4⋊C4—51no—
300C3×C4⋊C4—101no—
301C3×C4⋊C4—101no—
302C3×C22⋊C4—101no—
303C3×C22⋊C4—101no—
304C3×C22⋊C4—104no—
305C3×C22⋊C4—101no—
306C3×C22⋊C4—101no—
307C3×C22⋊C4—101no—
308C3×C42—21no—
309C3×C42—21no—
310C3×C42—101no—
311C3×C42—101no—
312C3×C42—101no—
313C23×C5—21no—
314C23×C5C2×C3×D411yescharacteristic
315C22×D5—21no—
316C22×D5—21no—
317C22×D5—22no—
318C22×D5—41no—
319C22×D5C3×C22⋊C411yescharacteristic
320C22×D5C3×C22⋊C411yescharacteristic
321C5×Q8—21no—
322C5×Q8—21no—
323C5×D4—21no—
324C5×D4—21no—
325C5×D4—41no—
326C5×D4—41no—
327C2×C4×C5—22no—
328C2×C4×C5—21no—
329C2×C4×C5—41no—
330C2×C4×C5—41no—
331C2×C4×C5—41no—
332C2×C4×C5—41no—
333C2×C4×C5C22×C3×C411yescharacteristic
334C2×C4×C5C2×C3×D411yescharacteristic
335C2×C4×C5C2×C3×D411yescharacteristic
336C2×C4×C5C2×C3×D411yescharacteristic
337C2×C4×C5C3×#4111yescharacteristic
338C2×C4×C5C3×#4111yescharacteristic
339C22⋊D5—42no—
340C22⋊D5—42no—
341C2×Dic5—21no—
342C2×Dic5—21no—
343C2×Dic5—22no—
344C2×Dic5—21no—
345C2×Dic5—21no—
346C2×Dic5—41no—
347C2×Dic5—41no—
348C2×Dic5C3×C22⋊C411yescharacteristic
349C2×Dic5C3×C22⋊C411yescharacteristic
350C4×D5—21no—
351C4×D5—21no—
352C4×D5—21no—
353C4×D5—21no—
354C4×D5—21no—
355C4×D5—21no—
356C4×D5—21no—
357C4×D5—21no—
358C5×C8—22no—
359#168—22no—
360C2×#41C2×C3×D511yescharacteristic
361C23×C4—51no—
362C2×M16—51no—
363C2×M16—101no—
364C2×M16—102no—
365C2×M16—102no—
366C2×M16C2×C3×D511yescharacteristic
367C22×C8—101no—
368#123—101no—
369C22⋊Q8—51no—
370C22⋊Q8—51no—
371#121—51no—
372#121—51no—
373#120—101no—
374C4×D4—101no—
375C4×D4—101no—
376#117—51no—
377C2×C22⋊C4—101no—
378C2×C42—51no—
379C2×C42C2×C3×D511yescharacteristic
380#104—22no—
381#104—102no—
382#95—101no—
383C2×C3×C5—21no—
384C2×C3×C5—21no—
385C2×C3×C5—81no—
386C2×C3×C5#38611yescharacteristic
387C2×C3×C5C2×#10411yescharacteristic
388C2×C3×C5#42111yescharacteristic
389C3×D5—22no—
390C3×D5—41no—
391C23×C3—21no—
392C23×C3—51no—
393C23×C3—51no—
394C23×C3—102no—
395C23×C3—101no—
396C23×C3—101no—
397C23×C3—201no—
398C23×C3D4×D511yescharacteristic
399C3×Q8—21no—
400C3×Q8—21no—
401C3×D4—21no—
402C3×D4—21no—
403C3×D4—41no—
404C3×D4—41no—
405C3×D4—202no—
406C3×D4—202no—
407C2×C3×C4—22no—
408C2×C3×C4—21no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—51no—
414C2×C3×C4—51no—
415C2×C3×C4—101no—
416C2×C3×C4—101no—
417C2×C3×C4—101no—
418C2×C3×C4—101no—
419C2×C3×C4—101no—
420C2×C3×C4—101no—
421C2×C3×C4—101no—
422C2×C3×C4—101no—
423C2×C3×C4—101no—
424C2×C3×C4—101no—
425C2×C3×C4—102no—
426C2×C3×C4—101no—
427C2×C3×C4—101no—
428C2×C3×C4—201no—
429C2×C3×C4—201no—
430C2×C3×C4C2×C4×D511yescharacteristic
431C2×C3×C4#70911yescharacteristic
432C2×C3×C4D4×D511yescharacteristic
433C2×C3×C4D4×D511yescharacteristic
434C2×C3×C4#71111yescharacteristic
435C2×C3×C4C2×C22⋊D511yescharacteristic
436C3×C8—22no—
437C3×C8—102no—
438C22×C5—21no—
439C22×C5—21no—
440C22×C5—41no—
441C22×C5—41no—
442C22×C5—41no—
443C22×C5C2×C3×C22⋊C411yescharacteristic
444C22×C5C3×#12111yescharacteristic
445C22×C5C3×#12111yescharacteristic
446C2×D5—21no—
447C2×D5—21no—
448C2×D5—21no—
449C2×D5—21no—
450C2×D5—21no—
451C2×D5—42no—
452C2×D5—42no—
453C2×D5C3×#10412yescomplemented
454C4×C5—42no—
455C4×C5—41no—
456C4×C5C3×C4×D411yescharacteristic
457C4×C5C3×C4×D411yescharacteristic
458C4×C5C3×#12011yescharacteristic
459C4×C5C3×#12311yescharacteristic
460Dic5—21no—
461Dic5—21no—
462Dic5—42no—
463Dic5—41no—
464Dic5—41no—
465C24—51no—
466#41—21no—
467#41—21no—
468#41—21no—
469#41—21no—
470C2×Q8C3×C4×D511yescharacteristic
471C2×D4—21no—
472C2×D4—101no—
473C2×D4—101no—
474C2×D4C3×C4×D511yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—51no—
478C22×C4—51no—
479C22×C4—51no—
480C22×C4—51no—
481C22×C4—51no—
482C22×C4—101no—
483C22×C4—101no—
484C22×C4—101no—
485C22×C4—101no—
486C22×C4—101no—
487C22×C4C22×C3×D511yescharacteristic
488M16—21no—
489M16—52no—
490M16—104no—
491M16—101no—
492M16C3×C22⋊D512yescomplemented
493C2×C8—21no—
494C2×C8—104no—
495C2×C8—101no—
496C4⋊C4—51no—
497C4⋊C4—51no—
498C4⋊C4—101no—
499C4⋊C4—101no—
500C22⋊C4—101no—
501C22⋊C4—101no—
502C22⋊C4—104no—
503C22⋊C4—101no—
504C22⋊C4—101no—
505C22⋊C4—101no—
506C42—21no—
507C42—21no—
508C42—101no—
509C42—101no—
510C42—101no—
511C3×C5#187111yescharacteristic, complemented, Hall
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—52no—
518C22×C3—101no—
519C22×C3—101no—
520C22×C3—101no—
521C22×C3—101no—
522C22×C3—101no—
523C22×C3—202no—
524C22×C3—202no—
525C22×C3D5×C22⋊C411yescharacteristic
526C22×C3#403011yescharacteristic
527C22×C3#408411yescharacteristic
528C3×C4—42no—
529C3×C4—41no—
530C3×C4—101no—
531C3×C4—101no—
532C3×C4—202no—
533C3×C4—201no—
534C3×C4—201no—
535C3×C4#402711yescharacteristic
536C3×C4#402911yescharacteristic
537C3×C4C4×C22⋊D511yescharacteristic
538C3×C4#408311yescharacteristic
539C2×C5—21no—
540C2×C5—21no—
541C2×C5—81no—
542C2×C5C3×#38611yescharacteristic
543C2×C5C2×C3×#10411yescharacteristic
544C2×C5C3×#42111yescharacteristic
545D5—22no—
546D5—41no—
547C23—21no—
548C23—51no—
549C23—51no—
550C23—102no—
551C23—101no—
552C23—101no—
553C23—201no—
554C23C3×D4×D511yescharacteristic
555Q8—21no—
556Q8—21no—
557D4—21no—
558D4—21no—
559D4—41no—
560D4—41no—
561D4—202no—
562D4—202no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—51no—
570C2×C4—51no—
571C2×C4—101no—
572C2×C4—101no—
573C2×C4—101no—
574C2×C4—101no—
575C2×C4—101no—
576C2×C4—101no—
577C2×C4—101no—
578C2×C4—101no—
579C2×C4—101no—
580C2×C4—101no—
581C2×C4—102no—
582C2×C4—101no—
583C2×C4—101no—
584C2×C4—201no—
585C2×C4—201no—
586C2×C4C2×C3×C4×D511yescharacteristic
587C2×C4C3×#70911yescharacteristic
588C2×C4C3×D4×D511yescharacteristic
589C2×C4C3×D4×D511yescharacteristic
590C2×C4C3×#71111yescharacteristic
591C2×C4C2×C3×C22⋊D511yescharacteristic
592C8—22no—
593C8—102no—
594C2×C3—21no—
595C2×C3—21no—
596C2×C3—81no—
597C2×C3—102no—
598C2×C3—201no—
599C2×C3D5×#10411yescharacteristic
600C2×C3#6511011yescharacteristic
601C2×C3#6524511yescharacteristic
602C5C3×#187111yescharacteristic, complemented, Sylow
603C22—21no—
604C22—21no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—52no—
609C22—101no—
610C22—101no—
611C22—101no—
612C22—101no—
613C22—101no—
614C22—202no—
615C22—202no—
616C22C3×D5×C22⋊C411yescharacteristic
617C22C3×#403011yescharacteristic
618C22C3×#408411yescharacteristic
619C4—42no—
620C4—41no—
621C4—101no—
622C4—101no—
623C4—202no—
624C4—201no—
625C4—201no—
626C4C3×#402711yescharacteristic
627C4C3×#402911yescharacteristic
628C4C3×C4×C22⋊D511yescharacteristic
629C4C3×#408311yescharacteristic
630C3#1060117411yescharacteristic, direct product factor, Sylow
631C2—21no—
632C2—21no—
633C2—81no—
634C2—102no—
635C2—201no—
636C2C3×D5×#10411yescharacteristic
637C2C3×#6511011yescharacteristic
638C2C3×#6524511yescharacteristic
subgroupG/H
centerC2×C3×C4D4×D5
commutatorC2×C4×C5C22×C3×C4
FrattiniC22×C4C22×C3×D5
FittingC2×C3×C5×#104C2
socleC22×C3×C5C2×C22⋊C4
prime radicalC3×#66162C2
cosocleC22×C4×C5C23×C3
hypercenterC2×C3×#104D5
hypocenterC5C3×#1871
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C2×C3×C4 ◁ C22×C3×C4 ◁ C2×C3×#104

Complements

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

NH ≅ G/Ntype
2. C2×C3×D5×M16C2semidirect
3. C2×C3×C5×#104C2semidirect
4. C2×C3×#3969C2semidirect
5. C3×C4×#685C2semidirect
6. C3×#64775C2semidirect
7. C3×#64743C2semidirect
8. #10601174C3direct (N × H)
13. C3×#4092C4semidirect
14. C3×#4092C4semidirect
15. C3×#4084C4semidirect
16. C3×#4084C4semidirect
34. C2×D5×M16C2×C3semidirect
35. C2×C5×#104C2×C3semidirect
36. C2×#3969C2×C3semidirect
37. C4×#685C2×C3semidirect
38. #64775C2×C3semidirect
39. #64743C2×C3semidirect
64. C3×C5×M16D4semidirect
82. C3×#681D4semidirect
89. C2×C3×#104D5semidirect
97. #4092C3×C4semidirect
98. #4092C3×C4semidirect
99. #4084C3×C4semidirect
100. #4084C3×C4semidirect
211. C5×M16C3×D4semidirect
229. #681C3×D4semidirect
236. C2×#104C3×D5semidirect
255. C2×C3×D5#104semidirect
294. C3×M16C22⋊D5semidirect
453. C2×D5C3×#104semidirect
492. M16C3×C22⋊D5semidirect
511. C3×C5#1871semidirect
602. C5C3×#1871semidirect
630. C3#10601174direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#661622
C2×C3×D5×M162
C2×C3×C5×#1042
C2×C3×#39692
C3×C4×#6852
C3×#647752
C3×#647432
#106011743
C3×#18715