Finite Group Databasebeta

← C3×#10605306 #14326249

Subgroups — C3×#10605306 #14326249

Order 1920.

1584 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#685C211yesmaximal, characteristic
2C2×C3×D5×C22⋊C4C211yesmaximal, characteristic
3C2×C3×#4023C211yesmaximal, characteristic, complemented
4C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
5C3×#65501C211yesmaximal, characteristic, complemented
6C3×#65244C211yesmaximal, characteristic
7C3×#65232C211yesmaximal, characteristic, complemented
8C3×#65229C212yesmaximal, complemented
9C3×C4×#685C212yesmaximal, complemented
10C3×#64959C212yesmaximal, complemented
11C3×#64957C212yesmaximal, complemented
12#10605306C311yesmaximal, characteristic, direct product factor, Hall
13C24×C3×D5C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×Dic5C2211yescharacteristic
16C22×C3×C4×D5C2212yes—
17C2×C3×C5×C22⋊C4C2211yescharacteristic
18C2×C3×C5×C22⋊C4C2211yescharacteristic
19C2×C3×C42×C5C2212yescomplemented
20C2×C3×C22⋊Dic5C2211yescharacteristic
21C2×C3×C22⋊Dic5C2211yescharacteristic
22C2×C3×#685C418yescomplemented
23C2×C3×#685C2212yes—
24C2×C3×#685C2212yes—
25C2×C3×#685C2212yes—
26C2×C3×#685C2211yescharacteristic
27C2×C3×#685C2211yescharacteristic
28C2×C3×#685C2211yescharacteristic
29C2×C3×#685C2211yescharacteristic
30C2×C3×C4⋊Dic5C2212yescomplemented
31C2×C3×#683C2212yescomplemented
32C2×C3×C4×Dic5C2212yescomplemented
33C3×D5×C22⋊C4—24no—
34C3×#4023—24no—
35C3×C5×#95C2212yescomplemented
36C3×#3963C2212yescomplemented
37C3×#3963C2212yescomplemented
38C3×#3963C2212yescomplemented
39C3×#2342—51nomaximal, Hall
40C22×#685C2×C311yescharacteristic
41C2×D5×C22⋊C4C2×C311yescharacteristic
42C2×#4023C2×C311yescharacteristic, complemented
43C4×C5×C22⋊C4C2×C311yescharacteristic, complemented
44#65501C2×C311yescharacteristic, complemented
45#65244C2×C311yescharacteristic
46#65232C2×C311yescharacteristic, complemented
47#65229C2×C312yescomplemented
48C4×#685C2×C312yescomplemented
49#64959C2×C312yescomplemented
50#64957C2×C312yescomplemented
51C24×C3×C5C2311yescharacteristic
52C23×C3×D5—22no—
53C23×C3×D5—22no—
54C23×C3×D5—24no—
55C23×C3×D5—42no—
56C23×C3×D5C2×C414yes—
57C23×C3×D5C2311yescharacteristic
58C23×C3×D5C2311yescharacteristic
59C22×C3×C4×C5—42no—
60C22×C3×C4×C5C2×C414yescomplemented
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2312yes—
65C22×C3×Dic5—22no—
66C22×C3×Dic5—22no—
67C22×C3×Dic5C2×C414yescomplemented
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2311yescharacteristic
72C2×C3×C4×D5—24no—
73C2×C3×C4×D5—24no—
74C2×C3×C4×D5—42no—
75C3×C5×C22⋊C4—22no—
76C3×C5×C22⋊C4D414yes—
77C3×C42×C5—42no—
78C3×C22⋊Dic5—22no—
79C3×C22⋊Dic5—22no—
80C3×#685—24no—
81C3×#685—24no—
82C3×#685—42no—
83C3×#685C2×C414yes—
84C3×#685C2×C414yes—
85C3×#685C2×C414yescomplemented
86C3×#685C2×C414yescomplemented
87C3×C4⋊Dic5—42no—
88C3×#683—24no—
89C3×C4×Dic5—24no—
90C2×C3×#117—51no—
91C22×C3×C22⋊C4—51no—
92C22×C3×C22⋊C4—51no—
93C3×#388—52no—
94C3×#388—52no—
95C3×#385—52no—
96C3×#381—51no—
97C3×#380—51no—
98C3×#379—51no—
99C3×C4×C22⋊C4—52no—
100C3×C4×C22⋊C4D511yescharacteristic, complemented
101C24×D5C22×C311yescharacteristic
102C23×C4×C5C22×C311yescharacteristic
103C23×Dic5C22×C311yescharacteristic
104C22×C4×D5C22×C312yes—
105C2×C5×C22⋊C4C22×C311yescharacteristic
106C2×C5×C22⋊C4C22×C311yescharacteristic
107C2×C42×C5C22×C312yescomplemented
108C2×C22⋊Dic5C22×C311yescharacteristic
109C2×C22⋊Dic5C22×C311yescharacteristic
110C2×#685C3×C418yescomplemented
111C2×#685C22×C312yes—
112C2×#685C22×C312yes—
113C2×#685C22×C312yes—
114C2×#685C22×C311yescharacteristic
115C2×#685C22×C311yescharacteristic
116C2×#685C22×C311yescharacteristic
117C2×#685C22×C311yescharacteristic
118C2×C4⋊Dic5C22×C312yescomplemented
119C2×#683C22×C312yescomplemented
120C2×C4×Dic5C22×C312yescomplemented
121D5×C22⋊C4—24no—
122#4023—24no—
123C5×#95C22×C312yescomplemented
124#3963C22×C312yescomplemented
125#3963C22×C312yescomplemented
126#3963C22×C312yescomplemented
127#2342—51noSylow
128C23×C3×C5—22no—
129C23×C3×C5—22no—
130C23×C3×C5C22×C412yes—
131C23×C3×C5C2×D412yes—
132C23×C3×C5#4112yes—
133C23×C3×C5C2411yescharacteristic
134C22×C3×D5—21no—
135C22×C3×D5—21no—
136C22×C3×D5—22no—
137C22×C3×D5—28no—
138C22×C3×D5—21no—
139C22×C3×D5—22no—
140C22×C3×D5—21no—
141C22×C3×D5—22no—
142C22×C3×D5—28no—
143C22×C3×D5—44no—
144C22×C3×D5—48no—
145C22×C3×D5—48no—
146C22×C3×D5C22×C412yes—
147C22×C3×D5C22×C412yes—
148C22×C3×D5#4114yes—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5—22no—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—44no—
157C2×C3×C4×C5C22×C412yes—
158C2×C3×C4×C5C22×C412yes—
159C2×C3×C4×C5C2×D414yes—
160C2×C3×Dic5—28no—
161C2×C3×Dic5—21no—
162C2×C3×Dic5—21no—
163C2×C3×Dic5—21no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5C22×C412yes—
172C2×C3×Dic5C22×C412yes—
173C3×C4×D5—48no—
174C25×C3—51no—
175C23×C3×C4—51no—
176C23×C3×C4—52no—
177C23×C3×C4C2×D511yescharacteristic
178C3×#117—104no—
179C2×C3×C4⋊C4—52no—
180C2×C3×C4⋊C4—52no—
181C2×C3×C22⋊C4—58no—
182C2×C3×C22⋊C4—51no—
183C2×C3×C22⋊C4—51no—
184C2×C3×C22⋊C4—51no—
185C2×C3×C22⋊C4—51no—
186C2×C3×C22⋊C4—51no—
187C2×C3×C22⋊C4—51no—
188C2×C3×C22⋊C4—52no—
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C22⋊C4—104no—
192C2×C3×C22⋊C4C2×D511yescharacteristic
193C2×C3×C22⋊C4C2×D511yescharacteristic
194C2×C3×C42—52no—
195C2×C3×C42C2×D512yescomplemented
196C3×#95—52no—
197C3×#95—52no—
198C3×#95—52no—
199C3×#95C2×D512yescomplemented
200C24×C5C23×C311yescharacteristic
201C23×D5—22no—
202C23×D5—22no—
203C23×D5—24no—
204C23×D5—42no—
205C23×D5C2×C3×C414yes—
206C23×D5C23×C311yescharacteristic
207C23×D5C23×C311yescharacteristic
208C22×C4×C5—42no—
209C22×C4×C5C2×C3×C414yescomplemented
210C22×C4×C5C23×C312yes—
211C22×C4×C5C23×C311yescharacteristic
212C22×C4×C5C23×C311yescharacteristic
213C22×C4×C5C23×C312yes—
214C22×Dic5—22no—
215C22×Dic5—22no—
216C22×Dic5C2×C3×C414yescomplemented
217C22×Dic5C23×C312yes—
218C22×Dic5C23×C312yes—
219C22×Dic5C23×C311yescharacteristic
220C22×Dic5C23×C311yescharacteristic
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—42no—
224C5×C22⋊C4—22no—
225C5×C22⋊C4C3×D414yes—
226C42×C5—42no—
227C22⋊Dic5—22no—
228C22⋊Dic5—22no—
229#685—24no—
230#685—24no—
231#685—42no—
232#685C2×C3×C414yes—
233#685C2×C3×C414yes—
234#685C2×C3×C414yescomplemented
235#685C2×C3×C414yescomplemented
236C4⋊Dic5—42no—
237#683—24no—
238C4×Dic5—24no—
239C2×#117—51no—
240C22×C22⋊C4—51no—
241C22×C22⋊C4—51no—
242#388—52no—
243#388—52no—
244#385—52no—
245#381—51no—
246#380—51no—
247#379—51no—
248C4×C22⋊C4—52no—
249C4×C22⋊C4C3×D511yescharacteristic, complemented
250C22×C3×C5—22no—
251C22×C3×C5—22no—
252C22×C3×C5—24no—
253C22×C3×C5—24no—
254C22×C3×C5C4×D414yes—
255C22×C3×C5C23×C411yescharacteristic
256C22×C3×C5C22×D411yescharacteristic
257C22×C3×C5C2×#4111yescharacteristic
258C22×C3×C5C2×#4112yes—
259C22×C3×C5H(5,𝔽2)12yes—
260C2×C3×D5—22no—
261C2×C3×D5—22no—
262C2×C3×D5—24no—
263C2×C3×D5—24no—
264C2×C3×D5—22no—
265C2×C3×D5—22no—
266C2×C3×D5—22no—
267C2×C3×D5—416no—
268C2×C3×D5—42no—
269C2×C3×D5—42no—
270C2×C3×D5#11714yescomplemented
271C3×C4×C5—22no—
272C3×C4×C5—22no—
273C3×C4×C5—24no—
274C3×C4×C5—42no—
275C3×Dic5—22no—
276C3×Dic5—22no—
277C3×Dic5—42no—
278C3×Dic5—42no—
279C24×C3—51no—
280C24×C3—51no—
281C24×C3—54no—
282C24×C3—104no—
283C24×C3—102no—
284C24×C3—102no—
285C24×C3—202no—
286C24×C3C22×D511yescharacteristic
287C22×C3×C4—42no—
288C22×C3×C4—54no—
289C22×C3×C4—51no—
290C22×C3×C4—51no—
291C22×C3×C4—52no—
292C22×C3×C4—52no—
293C22×C3×C4—104no—
294C22×C3×C4—102no—
295C22×C3×C4—102no—
296C22×C3×C4—104no—
297C22×C3×C4—202no—
298C22×C3×C4C4×D514yescomplemented
299C22×C3×C4C22×D512yes—
300C22×C3×C4C22×D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D512yes—
303C3×C4⋊C4—104no—
304C3×C4⋊C4—202no—
305C3×C22⋊C4—22no—
306C3×C22⋊C4—54no—
307C3×C22⋊C4—54no—
308C3×C22⋊C4—54no—
309C3×C22⋊C4—54no—
310C3×C22⋊C4—104no—
311C3×C22⋊C4—102no—
312C3×C22⋊C4—102no—
313C3×C22⋊C4—104no—
314C3×C22⋊C4—202no—
315C3×C22⋊C4D2014yes—
316C3×C42—42no—
317C3×C42—104no—
318C23×C5—22no—
319C23×C5—22no—
320C23×C5C22×C3×C412yes—
321C23×C5C2×C3×D412yes—
322C23×C5C3×#4112yes—
323C23×C5C24×C311yescharacteristic
324C22×D5—21no—
325C22×D5—21no—
326C22×D5—22no—
327C22×D5—28no—
328C22×D5—21no—
329C22×D5—21no—
330C22×D5—22no—
331C22×D5—22no—
332C22×D5—28no—
333C22×D5—44no—
334C22×D5—48no—
335C22×D5—48no—
336C22×D5C22×C3×C412yes—
337C22×D5C22×C3×C412yes—
338C22×D5C3×#4114yes—
339C2×C4×C5—22no—
340C2×C4×C5—22no—
341C2×C4×C5—22no—
342C2×C4×C5—22no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5—44no—
347C2×C4×C5C22×C3×C412yes—
348C2×C4×C5C22×C3×C412yes—
349C2×C4×C5C2×C3×D414yes—
350C2×Dic5—28no—
351C2×Dic5—21no—
352C2×Dic5—21no—
353C2×Dic5—21no—
354C2×Dic5—21no—
355C2×Dic5—22no—
356C2×Dic5—22no—
357C2×Dic5—22no—
358C2×Dic5—22no—
359C2×Dic5—22no—
360C2×Dic5—22no—
361C2×Dic5C22×C3×C412yes—
362C2×Dic5C22×C3×C412yes—
363C4×D5—48no—
364C25—51no—
365C23×C4—51no—
366C23×C4—52no—
367C23×C4C2×C3×D511yescharacteristic
368#117—104no—
369C2×C4⋊C4—52no—
370C2×C4⋊C4—52no—
371C2×C22⋊C4—58no—
372C2×C22⋊C4—51no—
373C2×C22⋊C4—51no—
374C2×C22⋊C4—51no—
375C2×C22⋊C4—51no—
376C2×C22⋊C4—51no—
377C2×C22⋊C4—51no—
378C2×C22⋊C4—52no—
379C2×C22⋊C4—52no—
380C2×C22⋊C4—52no—
381C2×C22⋊C4—104no—
382C2×C22⋊C4C2×C3×D511yescharacteristic
383C2×C22⋊C4C2×C3×D511yescharacteristic
384C2×C42—52no—
385C2×C42C2×C3×D512yescomplemented
386#95—52no—
387#95—52no—
388#95—52no—
389#95C2×C3×D512yescomplemented
390C2×C3×C5—24no—
391C2×C3×C5C2×#11711yescharacteristic
392C2×C3×C5C2×C4×D411yescharacteristic
393C2×C3×C5#51811yescharacteristic
394C2×C3×C5#54612yes—
395C2×C3×C5#55112yes—
396C3×D5—24no—
397C3×D5—42no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—52no—
401C23×C3—54no—
402C23×C3—52no—
403C23×C3—108no—
404C23×C3—101no—
405C23×C3—101no—
406C23×C3—102no—
407C23×C3—101no—
408C23×C3—101no—
409C23×C3—102no—
410C23×C3—102no—
411C23×C3—108no—
412C23×C3—204no—
413C23×C3—208no—
414C23×C3—208no—
415C23×C3C2×C4×D512yes—
416C23×C3C2×D2012yes—
417C23×C3#70912yes—
418C23×C3C23×D511yescharacteristic
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—44no—
427C2×C3×C4—52no—
428C2×C3×C4—52no—
429C2×C3×C4—101no—
430C2×C3×C4—101no—
431C2×C3×C4—101no—
432C2×C3×C4—101no—
433C2×C3×C4—108no—
434C2×C3×C4—102no—
435C2×C3×C4—102no—
436C2×C3×C4—102no—
437C2×C3×C4—102no—
438C2×C3×C4—102no—
439C2×C3×C4—102no—
440C2×C3×C4—208no—
441C2×C3×C4C2×C4×D512yes—
442C2×C3×C4C2×C4×D512yes—
443C2×C3×C4C2×D2014yes—
444C22×C5—22no—
445C22×C5—22no—
446C22×C5—24no—
447C22×C5—24no—
448C22×C5C3×C4×D414yes—
449C22×C5C23×C3×C411yescharacteristic
450C22×C5C22×C3×D411yescharacteristic
451C22×C5C2×C3×#4111yescharacteristic
452C22×C5C2×C3×#4112yes—
453C22×C5C3×H(5,𝔽2)12yes—
454C2×D5—22no—
455C2×D5—22no—
456C2×D5—24no—
457C2×D5—24no—
458C2×D5—22no—
459C2×D5—22no—
460C2×D5—22no—
461C2×D5—416no—
462C2×D5—42no—
463C2×D5—42no—
464C2×D5C3×#11714yescomplemented
465C4×C5—22no—
466C4×C5—22no—
467C4×C5—24no—
468C4×C5—42no—
469Dic5—22no—
470Dic5—22no—
471Dic5—42no—
472Dic5—42no—
473C24—51no—
474C24—51no—
475C24—54no—
476C24—104no—
477C24—102no—
478C24—102no—
479C24—202no—
480C24C22×C3×D511yescharacteristic
481C22×C4—42no—
482C22×C4—54no—
483C22×C4—51no—
484C22×C4—51no—
485C22×C4—52no—
486C22×C4—52no—
487C22×C4—104no—
488C22×C4—102no—
489C22×C4—102no—
490C22×C4—104no—
491C22×C4—202no—
492C22×C4C3×C4×D514yescomplemented
493C22×C4C22×C3×D512yes—
494C22×C4C22×C3×D511yescharacteristic
495C22×C4C22×C3×D511yescharacteristic
496C22×C4C22×C3×D512yes—
497C4⋊C4—104no—
498C4⋊C4—202no—
499C22⋊C4—22no—
500C22⋊C4—54no—
501C22⋊C4—54no—
502C22⋊C4—54no—
503C22⋊C4—54no—
504C22⋊C4—104no—
505C22⋊C4—102no—
506C22⋊C4—102no—
507C22⋊C4—104no—
508C22⋊C4—202no—
509C22⋊C4C3×D2014yes—
510C42—42no—
511C42—104no—
512C3×C5#234211yescharacteristic, complemented, Hall
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—24no—
516C22×C3—24no—
517C22×C3—54no—
518C22×C3—102no—
519C22×C3—102no—
520C22×C3—104no—
521C22×C3—104no—
522C22×C3—102no—
523C22×C3—102no—
524C22×C3—102no—
525C22×C3—2016no—
526C22×C3—202no—
527C22×C3—202no—
528C22×C3C4×D2014yes—
529C22×C3C22×C4×D511yescharacteristic
530C22×C3C22×D2011yescharacteristic
531C22×C3C2×#70911yescharacteristic
532C22×C3#414412yes—
533C22×C3D5×#4112yes—
534C3×C4—22no—
535C3×C4—22no—
536C3×C4—24no—
537C3×C4—42no—
538C3×C4—102no—
539C3×C4—102no—
540C3×C4—202no—
541C3×C4—202no—
542C2×C5—24no—
543C2×C5C2×C3×#11711yescharacteristic
544C2×C5C2×C3×C4×D411yescharacteristic
545C2×C5C3×#51811yescharacteristic
546C2×C5C3×#54612yes—
547C2×C5C3×#55112yes—
548D5—24no—
549D5—42no—
550C23—22no—
551C23—22no—
552C23—52no—
553C23—54no—
554C23—52no—
555C23—108no—
556C23—101no—
557C23—101no—
558C23—102no—
559C23—101no—
560C23—101no—
561C23—102no—
562C23—102no—
563C23—108no—
564C23—204no—
565C23—208no—
566C23—208no—
567C23C2×C3×C4×D512yes—
568C23C2×C3×D2012yes—
569C23C3×#70912yes—
570C23C23×C3×D511yescharacteristic
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—44no—
579C2×C4—52no—
580C2×C4—52no—
581C2×C4—101no—
582C2×C4—101no—
583C2×C4—101no—
584C2×C4—101no—
585C2×C4—108no—
586C2×C4—102no—
587C2×C4—102no—
588C2×C4—102no—
589C2×C4—102no—
590C2×C4—102no—
591C2×C4—102no—
592C2×C4—208no—
593C2×C4C2×C3×C4×D512yes—
594C2×C4C2×C3×C4×D512yes—
595C2×C4C2×C3×D2014yes—
596C2×C3—24no—
597C2×C3—104no—
598C2×C3—202no—
599C2×C3C2×C4×D2011yescharacteristic
600C2×C3#6582011yescharacteristic
601C2×C3D5×#11711yescharacteristic
602C2×C3#6588812yes—
603C2×C3#6589012yes—
604C5C3×#234211yescharacteristic, complemented, Sylow
605C22—22no—
606C22—24no—
607C22—24no—
608C22—22no—
609C22—54no—
610C22—104no—
611C22—104no—
612C22—102no—
613C22—102no—
614C22—102no—
615C22—102no—
616C22—102no—
617C22—2016no—
618C22—202no—
619C22—202no—
620C22C3×C4×D2014yes—
621C22C22×C3×C4×D511yescharacteristic
622C22C22×C3×D2011yescharacteristic
623C22C2×C3×#70911yescharacteristic
624C22C3×#414412yes—
625C22C3×D5×#4112yes—
626C4—24no—
627C4—22no—
628C4—22no—
629C4—42no—
630C4—102no—
631C4—102no—
632C4—202no—
633C4—202no—
634C3#1060530611yescharacteristic, direct product factor, Sylow
635C2—24no—
636C2—104no—
637C2—202no—
638C2C2×C3×C4×D2011yescharacteristic
639C2C3×#6582011yescharacteristic
640C2C3×D5×#11711yescharacteristic
641C2C3×#6588812yes—
642C2C3×#6589012yes—
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C4×C5×C22⋊C4C2
socleC23×C3×C5C24
prime radicalC24×C3×D5C22
cosocleC23×C5C24×C3
hypercenterC3×C4×C22⋊C4D5
hypocenterC5C3×#2342
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×C3×#4023C2semidirect
4. C3×C4×C5×C22⋊C4C2semidirect
5. C3×#65501C2semidirect
7. C3×#65232C2semidirect
8. C3×#65229C2semidirect
9. C3×C4×#685C2semidirect
10. C3×#64959C2semidirect
11. C3×#64957C2semidirect
12. #10605306C3direct (N × H)
19. C2×C3×C42×C5C22semidirect
22. C2×C3×#685C4semidirect
30. C2×C3×C4⋊Dic5C22semidirect
31. C2×C3×#683C22semidirect
32. C2×C3×C4×Dic5C22semidirect
35. C3×C5×#95C22semidirect
36. C3×#3963C22semidirect
37. C3×#3963C22semidirect
38. C3×#3963C22semidirect
42. C2×#4023C2×C3semidirect
43. C4×C5×C22⋊C4C2×C3semidirect
44. #65501C2×C3semidirect
46. #65232C2×C3semidirect
47. #65229C2×C3semidirect
48. C4×#685C2×C3semidirect
49. #64959C2×C3semidirect
50. #64957C2×C3semidirect
60. C22×C3×C4×C5C2×C4semidirect
67. C22×C3×Dic5C2×C4semidirect
85. C3×#685C2×C4semidirect
86. C3×#685C2×C4semidirect
100. C3×C4×C22⋊C4D5semidirect
107. C2×C42×C5C22×C3semidirect
110. C2×#685C3×C4semidirect
118. C2×C4⋊Dic5C22×C3semidirect
119. C2×#683C22×C3semidirect
120. C2×C4×Dic5C22×C3semidirect
123. C5×#95C22×C3semidirect
124. #3963C22×C3semidirect
125. #3963C22×C3semidirect
126. #3963C22×C3semidirect
195. C2×C3×C42C2×D5semidirect
199. C3×#95C2×D5semidirect
209. C22×C4×C5C2×C3×C4semidirect
216. C22×Dic5C2×C3×C4semidirect
234. #685C2×C3×C4semidirect
235. #685C2×C3×C4semidirect
249. C4×C22⋊C4C3×D5semidirect
270. C2×C3×D5#117semidirect
298. C22×C3×C4C4×D5semidirect
385. C2×C42C2×C3×D5semidirect
389. #95C2×C3×D5semidirect
464. C2×D5C3×#117semidirect
492. C22×C4C3×C4×D5semidirect
512. C3×C5#2342semidirect
604. C5C3×#2342semidirect
634. C3#10605306direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6852
C2×C3×D5×C22⋊C42
C2×C3×#40232
C3×C4×C5×C22⋊C42
C3×#655012
C3×#652442
C3×#652322
C3×#652292
C3×C4×#6852
C3×#649592
C3×#649572
#106053063
C3×#23425