Finite Group Databasebeta

← C3×#10606611 #14328114

Subgroups — C3×#10606611 #14328114

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4083C211yesmaximal, characteristic
2C2×C3×C4×C22⋊D5C212yesmaximal, complemented
3C2×C3×D5×C22⋊C4C212yesmaximal, complemented
4C3×C5×#386C211yesmaximal, characteristic, complemented
5C3×#65510C211yesmaximal, characteristic, complemented
6C3×#65245C212yesmaximal, complemented
7C3×#65234C212yesmaximal, complemented
8C3×#64957C212yesmaximal, complemented
9C3×#64955C212yesmaximal, complemented
10#10606611C311yesmaximal, characteristic, direct product factor, Hall
11C24×C3×D5C2211yescharacteristic
12C22×C3×C5×D4C2211yescharacteristic
13C23×C3×C4×C5C2211yescharacteristic, complemented
14C22×C3×C22⋊D5C2212yes—
15C22×C3×C4×D5C2212yes—
16C22×C3×C4×D5C2212yes—
17C2×C3×C5×C22⋊C4C2212yes—
18C2×C3×C5×C22⋊C4C2211yescharacteristic, complemented
19C2×C3×C22⋊Dic5C2212yes—
20C2×C3×C22⋊Dic5C2211yescharacteristic
21C2×C3×C22⋊Dic5C2212yescomplemented
22C3×#4083C418yescomplemented
23C3×C4×C22⋊D5—28no—
24C2×C3×#685C2212yes—
25C2×C3×#685C2212yes—
26C2×C3×#685C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
28C2×C3×#683C2212yescomplemented
29C2×C3×C4×Dic5C2212yescomplemented
30C2×C3×C4×Dic5C2211yescharacteristic, complemented
31C3×D5×C22⋊C4—28no—
32C3×C5×#95C2212yescomplemented
33C3×#3963C2212yescomplemented
34C3×#3963C2212yescomplemented
35C3×#2358—51nomaximal, Hall
36C2×#4083C2×C311yescharacteristic
37C2×C4×C22⋊D5C2×C312yescomplemented
38C2×D5×C22⋊C4C2×C312yescomplemented
39C5×#386C2×C311yescharacteristic, complemented
40#65510C2×C311yescharacteristic, complemented
41#65245C2×C312yescomplemented
42#65234C2×C312yescomplemented
43#64957C2×C312yescomplemented
44#64955C2×C312yescomplemented
45C24×C3×C5C2311yescharacteristic
46C24×C3×C5C2311yescharacteristic
47C23×C3×D5—24no—
48C23×C3×D5—24no—
49C23×C3×D5—41no—
50C23×C3×D5—41no—
51C23×C3×D5C2×C414yescomplemented
52C23×C3×D5C2312yes—
53C2×C3×C5×D4—41no—
54C2×C3×C5×D4—41no—
55C2×C3×C5×D4C2×C414yescomplemented
56C22×C3×C4×C5—24no—
57C22×C3×C4×C5—41no—
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2312yes—
61C2×C3×C22⋊D5—24no—
62C2×C3×C22⋊D5—24no—
63C2×C3×C22⋊D5C2×C418yescomplemented
64C22×C3×Dic5C2312yes—
65C22×C3×Dic5C2312yes—
66C22×C3×Dic5C2312yes—
67C2×C3×C4×D5—24no—
68C2×C3×C4×D5—24no—
69C2×C3×C4×D5—24no—
70C2×C3×C4×D5—24no—
71C2×C3×C4×D5—42no—
72C2×C3×C4×D5—42no—
73C3×C5×C22⋊C4—24no—
74C3×C5×C22⋊C4—41no—
75C3×C22⋊Dic5—24no—
76C3×C22⋊Dic5—24no—
77C3×C22⋊Dic5C2×C414yescomplemented
78C3×#685—24no—
79C3×#685C2×C418yescomplemented
80C3×#685D418yescomplemented
81C3×C4⋊Dic5—41no—
82C3×#683—24no—
83C3×C4×Dic5—24no—
84C3×C4×Dic5—41no—
85C2×C3×#120—51no—
86C2×C3×C4×D4—52no—
87C22×C3×C22⋊C4—52no—
88C3×#390—51no—
89C3×#388—52no—
90C3×#386—52no—
91C3×#386D511yescharacteristic, complemented
92C3×#385—52no—
93C3×C4×C22⋊C4—52no—
94C24×D5C22×C311yescharacteristic
95C22×C5×D4C22×C311yescharacteristic
96C23×C4×C5C22×C311yescharacteristic, complemented
97C22×C22⋊D5C22×C312yes—
98C22×C4×D5C22×C312yes—
99C22×C4×D5C22×C312yes—
100C2×C5×C22⋊C4C22×C312yes—
101C2×C5×C22⋊C4C22×C311yescharacteristic, complemented
102C2×C22⋊Dic5C22×C312yes—
103C2×C22⋊Dic5C22×C311yescharacteristic
104C2×C22⋊Dic5C22×C312yescomplemented
105#4083C3×C418yescomplemented
106C4×C22⋊D5—28no—
107C2×#685C22×C312yes—
108C2×#685C22×C312yes—
109C2×#685C22×C312yes—
110C2×C4⋊Dic5C22×C311yescharacteristic, complemented
111C2×#683C22×C312yescomplemented
112C2×C4×Dic5C22×C312yescomplemented
113C2×C4×Dic5C22×C311yescharacteristic, complemented
114D5×C22⋊C4—28no—
115C5×#95C22×C312yescomplemented
116#3963C22×C312yescomplemented
117#3963C22×C312yescomplemented
118#2358—51noSylow
119C23×C3×C5—22no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—21no—
124C23×C3×C5—21no—
125C23×C3×C5—21no—
126C23×C3×C5—21no—
127C23×C3×C5C22×C412yes—
128C23×C3×C5C22×C412yes—
129C23×C3×C5C2411yescharacteristic
130C22×C3×D5—22no—
131C22×C3×D5—22no—
132C22×C3×D5—22no—
133C22×C3×D5—22no—
134C22×C3×D5—216no—
135C22×C3×D5—44no—
136C22×C3×D5—44no—
137C22×C3×D5—48no—
138C22×C3×D5—44no—
139C22×C3×D5C22×C414yes—
140C22×C3×D5C2×D414yes—
141C22×C3×D5#4114yes—
142C3×C5×D4—44no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—44no—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D414yes—
153C3×C22⋊D5—216no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5C22×C414yes—
162C2×C3×Dic5C2×D414yes—
163C3×C4×D5—48no—
164C3×C4×D5—48no—
165C25×C3—51no—
166C22×C3×D4—52no—
167C22×C3×D4C2×D511yescharacteristic
168C23×C3×C4—52no—
169C23×C3×C4—52no—
170C23×C3×C4C2×D511yescharacteristic, complemented
171C3×#120—58no—
172C3×C4×D4—108no—
173C2×C3×C4⋊C4—52no—
174C2×C3×C4⋊C4—51no—
175C2×C3×C22⋊C4—51no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4—52no—
178C2×C3×C22⋊C4—52no—
179C2×C3×C22⋊C4—52no—
180C2×C3×C22⋊C4—52no—
181C2×C3×C22⋊C4—108no—
182C2×C3×C22⋊C4C2×D512yes—
183C2×C3×C22⋊C4C2×D511yescharacteristic, complemented
184C2×C3×C42—52no—
185C2×C3×C42—51no—
186C3×#95—52no—
187C3×#95—52no—
188C3×#95C2×D512yescomplemented
189C24×C5C23×C311yescharacteristic
190C24×C5C23×C311yescharacteristic
191C23×D5—24no—
192C23×D5—24no—
193C23×D5—41no—
194C23×D5—41no—
195C23×D5C2×C3×C414yescomplemented
196C23×D5C23×C312yes—
197C2×C5×D4—41no—
198C2×C5×D4—41no—
199C2×C5×D4C2×C3×C414yescomplemented
200C22×C4×C5—24no—
201C22×C4×C5—41no—
202C22×C4×C5C23×C312yes—
203C22×C4×C5C23×C311yescharacteristic
204C22×C4×C5C23×C312yes—
205C2×C22⋊D5—24no—
206C2×C22⋊D5—24no—
207C2×C22⋊D5C2×C3×C418yescomplemented
208C22×Dic5C23×C312yes—
209C22×Dic5C23×C312yes—
210C22×Dic5C23×C312yes—
211C2×C4×D5—24no—
212C2×C4×D5—24no—
213C2×C4×D5—24no—
214C2×C4×D5—24no—
215C2×C4×D5—42no—
216C2×C4×D5—42no—
217C5×C22⋊C4—24no—
218C5×C22⋊C4—41no—
219C22⋊Dic5—24no—
220C22⋊Dic5—24no—
221C22⋊Dic5C2×C3×C414yescomplemented
222#685—24no—
223#685C2×C3×C418yescomplemented
224#685C3×D418yescomplemented
225C4⋊Dic5—41no—
226#683—24no—
227C4×Dic5—24no—
228C4×Dic5—41no—
229C2×#120—51no—
230C2×C4×D4—52no—
231C22×C22⋊C4—52no—
232#390—51no—
233#388—52no—
234#386—52no—
235#386C3×D511yescharacteristic, complemented
236#385—52no—
237C4×C22⋊C4—52no—
238C22×C3×C5—24no—
239C22×C3×C5—24no—
240C22×C3×C5—22no—
241C22×C3×C5—22no—
242C22×C3×C5—41no—
243C22×C3×C5—41no—
244C22×C3×C5—42no—
245C22×C3×C5—42no—
246C22×C3×C5—41no—
247C22×C3×C5—41no—
248C22×C3×C5C23×C411yescharacteristic
249C22×C3×C5C22×D412yes—
250C22×C3×C5C2×#4112yes—
251C22×C3×C5H(5,𝔽2)11yescharacteristic
252C22×C3×C5H(5,𝔽2)11yescharacteristic
253C2×C3×D5—24no—
254C2×C3×D5—24no—
255C2×C3×D5—24no—
256C2×C3×D5—24no—
257C2×C3×D5—24no—
258C2×C3×D5—24no—
259C2×C3×D5—416no—
260C2×C3×D5C4×D418yescomplemented
261C3×C4×C5—22no—
262C3×C4×C5—24no—
263C3×C4×C5—42no—
264C3×Dic5—24no—
265C3×Dic5—24no—
266C3×Dic5—42no—
267C24×C3—52no—
268C24×C3—54no—
269C24×C3—104no—
270C24×C3—104no—
271C24×C3—201no—
272C24×C3—201no—
273C24×C3C22×D511yescharacteristic
274C24×C3C22×D511yescharacteristic
275C2×C3×D4—41no—
276C2×C3×D4—41no—
277C2×C3×D4—58no—
278C2×C3×D4—104no—
279C2×C3×D4—104no—
280C2×C3×D4C4×D514yescomplemented
281C22×C3×C4—24no—
282C22×C3×C4—41no—
283C22×C3×C4—52no—
284C22×C3×C4—52no—
285C22×C3×C4—52no—
286C22×C3×C4—104no—
287C22×C3×C4—104no—
288C22×C3×C4—104no—
289C22×C3×C4—104no—
290C22×C3×C4—202no—
291C22×C3×C4—202no—
292C22×C3×C4C22×D512yes—
293C22×C3×C4C22×D511yescharacteristic
294C22×C3×C4C22×D512yes—
295C3×C4⋊C4—104no—
296C3×C4⋊C4—201no—
297C3×C22⋊C4—24no—
298C3×C22⋊C4—41no—
299C3×C22⋊C4—54no—
300C3×C22⋊C4—58no—
301C3×C22⋊C4—58no—
302C3×C22⋊C4—104no—
303C3×C22⋊C4—104no—
304C3×C22⋊C4—104no—
305C3×C42—104no—
306C3×C42—201no—
307C23×C5—22no—
308C23×C5—22no—
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—21no—
312C23×C5—21no—
313C23×C5—21no—
314C23×C5—21no—
315C23×C5C22×C3×C412yes—
316C23×C5C22×C3×C412yes—
317C23×C5C24×C311yescharacteristic
318C22×D5—22no—
319C22×D5—22no—
320C22×D5—22no—
321C22×D5—22no—
322C22×D5—216no—
323C22×D5—44no—
324C22×D5—44no—
325C22×D5—48no—
326C22×D5—44no—
327C22×D5C22×C3×C414yes—
328C22×D5C2×C3×D414yes—
329C22×D5C3×#4114yes—
330C5×D4—44no—
331C2×C4×C5—22no—
332C2×C4×C5—21no—
333C2×C4×C5—21no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—44no—
339C2×C4×C5C22×C3×C412yes—
340C2×C4×C5C2×C3×D414yes—
341C22⋊D5—216no—
342C2×Dic5—22no—
343C2×Dic5—22no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—22no—
349C2×Dic5C22×C3×C414yes—
350C2×Dic5C2×C3×D414yes—
351C4×D5—48no—
352C4×D5—48no—
353C25—51no—
354C22×D4—52no—
355C22×D4C2×C3×D511yescharacteristic
356C23×C4—52no—
357C23×C4—52no—
358C23×C4C2×C3×D511yescharacteristic, complemented
359#120—58no—
360C4×D4—108no—
361C2×C4⋊C4—52no—
362C2×C4⋊C4—51no—
363C2×C22⋊C4—51no—
364C2×C22⋊C4—52no—
365C2×C22⋊C4—52no—
366C2×C22⋊C4—52no—
367C2×C22⋊C4—52no—
368C2×C22⋊C4—52no—
369C2×C22⋊C4—108no—
370C2×C22⋊C4C2×C3×D512yes—
371C2×C22⋊C4C2×C3×D511yescharacteristic, complemented
372C2×C42—52no—
373C2×C42—51no—
374#95—52no—
375#95—52no—
376#95C2×C3×D512yescomplemented
377C2×C3×C5—42no—
378C2×C3×C5—42no—
379C2×C3×C5C2×C4×D412yes—
380C2×C3×C5#51811yescharacteristic
381C2×C3×C5D4211yescharacteristic
382C2×C3×C5#54612yes—
383C2×C3×C5#55111yescharacteristic
384C3×D5—28no—
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—54no—
394C23×C3—54no—
395C23×C3—54no—
396C23×C3—1016no—
397C23×C3—102no—
398C23×C3—102no—
399C23×C3—102no—
400C23×C3—102no—
401C23×C3—204no—
402C23×C3—204no—
403C23×C3—208no—
404C23×C3—204no—
405C23×C3C2×C4×D512yes—
406C23×C3C2×C4×D512yes—
407C23×C3C23×D511yescharacteristic
408C3×D4—44no—
409C3×D4—1016no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—44no—
418C2×C3×C4—54no—
419C2×C3×C4—54no—
420C2×C3×C4—102no—
421C2×C3×C4—102no—
422C2×C3×C4—102no—
423C2×C3×C4—102no—
424C2×C3×C4—102no—
425C2×C3×C4—102no—
426C2×C3×C4—102no—
427C2×C3×C4—208no—
428C2×C3×C4—208no—
429C2×C3×C4C2×C4×D512yes—
430C2×C3×C4D4×D514yes—
431C22×C5—24no—
432C22×C5—24no—
433C22×C5—22no—
434C22×C5—22no—
435C22×C5—41no—
436C22×C5—41no—
437C22×C5—42no—
438C22×C5—42no—
439C22×C5—41no—
440C22×C5—41no—
441C22×C5C23×C3×C411yescharacteristic
442C22×C5C22×C3×D412yes—
443C22×C5C2×C3×#4112yes—
444C22×C5C3×H(5,𝔽2)11yescharacteristic
445C22×C5C3×H(5,𝔽2)11yescharacteristic
446C2×D5—24no—
447C2×D5—24no—
448C2×D5—24no—
449C2×D5—24no—
450C2×D5—24no—
451C2×D5—24no—
452C2×D5—416no—
453C2×D5C3×C4×D418yescomplemented
454C4×C5—22no—
455C4×C5—24no—
456C4×C5—42no—
457Dic5—24no—
458Dic5—24no—
459Dic5—42no—
460C24—52no—
461C24—54no—
462C24—104no—
463C24—104no—
464C24—201no—
465C24—201no—
466C24C22×C3×D511yescharacteristic
467C24C22×C3×D511yescharacteristic
468C2×D4—41no—
469C2×D4—41no—
470C2×D4—58no—
471C2×D4—104no—
472C2×D4—104no—
473C2×D4C3×C4×D514yescomplemented
474C22×C4—24no—
475C22×C4—41no—
476C22×C4—52no—
477C22×C4—52no—
478C22×C4—52no—
479C22×C4—104no—
480C22×C4—104no—
481C22×C4—104no—
482C22×C4—104no—
483C22×C4—202no—
484C22×C4—202no—
485C22×C4C22×C3×D512yes—
486C22×C4C22×C3×D511yescharacteristic
487C22×C4C22×C3×D512yes—
488C4⋊C4—104no—
489C4⋊C4—201no—
490C22⋊C4—24no—
491C22⋊C4—41no—
492C22⋊C4—54no—
493C22⋊C4—58no—
494C22⋊C4—58no—
495C22⋊C4—104no—
496C22⋊C4—104no—
497C22⋊C4—104no—
498C42—104no—
499C42—201no—
500C3×C5#235811yescharacteristic, complemented, Hall
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—58no—
512C22×C3—104no—
513C22×C3—104no—
514C22×C3—104no—
515C22×C3—104no—
516C22×C3—104no—
517C22×C3—104no—
518C22×C3—2016no—
519C22×C3C22×C4×D511yescharacteristic
520C22×C3C2×D4×D512yes—
521C22×C3#414411yescharacteristic
522C22×C3#414411yescharacteristic
523C22×C3D5×#4112yes—
524C3×C4—22no—
525C3×C4—24no—
526C3×C4—42no—
527C3×C4—104no—
528C3×C4—104no—
529C3×C4—202no—
530C2×C5—42no—
531C2×C5—42no—
532C2×C5C2×C3×C4×D412yes—
533C2×C5C3×#51811yescharacteristic
534C2×C5C3×D4211yescharacteristic
535C2×C5C3×#54612yes—
536C2×C5C3×#55111yescharacteristic
537D5—28no—
538C23—22no—
539C23—22no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—22no—
545C23—22no—
546C23—54no—
547C23—54no—
548C23—54no—
549C23—1016no—
550C23—102no—
551C23—102no—
552C23—102no—
553C23—102no—
554C23—204no—
555C23—204no—
556C23—208no—
557C23—204no—
558C23C2×C3×C4×D512yes—
559C23C2×C3×C4×D512yes—
560C23C23×C3×D511yescharacteristic
561D4—44no—
562D4—1016no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—44no—
571C2×C4—54no—
572C2×C4—54no—
573C2×C4—102no—
574C2×C4—102no—
575C2×C4—102no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—208no—
581C2×C4—208no—
582C2×C4C2×C3×C4×D512yes—
583C2×C4C3×D4×D514yes—
584C2×C3—42no—
585C2×C3—42no—
586C2×C3—108no—
587C2×C3#6582011yescharacteristic
588C2×C3C4×D4×D512yes—
589C2×C3#6592411yescharacteristic
590C2×C3#6594612yes—
591C2×C3#6599311yescharacteristic
592C5C3×#235811yescharacteristic, complemented, Sylow
593C22—24no—
594C22—24no—
595C22—22no—
596C22—22no—
597C22—41no—
598C22—41no—
599C22—42no—
600C22—42no—
601C22—41no—
602C22—41no—
603C22—58no—
604C22—104no—
605C22—104no—
606C22—104no—
607C22—104no—
608C22—104no—
609C22—104no—
610C22—2016no—
611C22C22×C3×C4×D511yescharacteristic
612C22C2×C3×D4×D512yes—
613C22C3×#414411yescharacteristic
614C22C3×#414411yescharacteristic
615C22C3×D5×#4112yes—
616C4—24no—
617C4—22no—
618C4—42no—
619C4—104no—
620C4—104no—
621C4—202no—
622C3#1060661111yescharacteristic, direct product factor, Sylow
623C2—42no—
624C2—42no—
625C2—108no—
626C2C3×#6582011yescharacteristic
627C2C3×C4×D4×D512yes—
628C2C3×#6592411yescharacteristic
629C2C3×#6594612yes—
630C2C3×#6599311yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#386C2
socleC23×C3×C5C24
prime radicalC2×C3×#4083C2
cosocleC23×C5C24×C3
hypercenterC3×#386D5
hypocenterC5C3×#2358
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#386

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×C22⋊D5C2semidirect
3. C2×C3×D5×C22⋊C4C2semidirect
4. C3×C5×#386C2semidirect
5. C3×#65510C2semidirect
6. C3×#65245C2semidirect
7. C3×#65234C2semidirect
8. C3×#64957C2semidirect
9. C3×#64955C2semidirect
10. #10606611C3direct (N × H)
13. C23×C3×C4×C5C22semidirect
18. C2×C3×C5×C22⋊C4C22semidirect
21. C2×C3×C22⋊Dic5C22semidirect
22. C3×#4083C4semidirect
27. C2×C3×C4⋊Dic5C22semidirect
28. C2×C3×#683C22semidirect
29. C2×C3×C4×Dic5C22semidirect
30. C2×C3×C4×Dic5C22semidirect
32. C3×C5×#95C22semidirect
33. C3×#3963C22semidirect
34. C3×#3963C22semidirect
37. C2×C4×C22⋊D5C2×C3semidirect
38. C2×D5×C22⋊C4C2×C3semidirect
39. C5×#386C2×C3semidirect
40. #65510C2×C3semidirect
41. #65245C2×C3semidirect
42. #65234C2×C3semidirect
43. #64957C2×C3semidirect
44. #64955C2×C3semidirect
51. C23×C3×D5C2×C4semidirect
55. C2×C3×C5×D4C2×C4semidirect
63. C2×C3×C22⋊D5C2×C4semidirect
77. C3×C22⋊Dic5C2×C4semidirect
79. C3×#685C2×C4semidirect
80. C3×#685D4semidirect
91. C3×#386D5semidirect
96. C23×C4×C5C22×C3semidirect
101. C2×C5×C22⋊C4C22×C3semidirect
104. C2×C22⋊Dic5C22×C3semidirect
105. #4083C3×C4semidirect
110. C2×C4⋊Dic5C22×C3semidirect
111. C2×#683C22×C3semidirect
112. C2×C4×Dic5C22×C3semidirect
113. C2×C4×Dic5C22×C3semidirect
115. C5×#95C22×C3semidirect
116. #3963C22×C3semidirect
117. #3963C22×C3semidirect
170. C23×C3×C4C2×D5semidirect
183. C2×C3×C22⋊C4C2×D5semidirect
188. C3×#95C2×D5semidirect
195. C23×D5C2×C3×C4semidirect
199. C2×C5×D4C2×C3×C4semidirect
207. C2×C22⋊D5C2×C3×C4semidirect
221. C22⋊Dic5C2×C3×C4semidirect
223. #685C2×C3×C4semidirect
224. #685C3×D4semidirect
235. #386C3×D5semidirect
260. C2×C3×D5C4×D4semidirect
280. C2×C3×D4C4×D5semidirect
358. C23×C4C2×C3×D5semidirect
371. C2×C22⋊C4C2×C3×D5semidirect
376. #95C2×C3×D5semidirect
453. C2×D5C3×C4×D4semidirect
473. C2×D4C3×C4×D5semidirect
500. C3×C5#2358semidirect
592. C5C3×#2358semidirect
622. C3#10606611direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40832
C2×C3×C4×C22⋊D52
C2×C3×D5×C22⋊C42
C3×C5×#3862
C3×#655102
C3×#652452
C3×#652342
C3×#649572
C3×#649552
#106066113
C3×#23585