Finite Group Databasebeta

← C3×#10607933 #14327008

Subgroups — C3×#10607933 #14327008

Order 1920.

1552 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4039C211yesmaximal, characteristic
2C2×C3×#4039C211yesmaximal, characteristic
3C2×C3×D5×C4⋊C4C212yesmaximal, complemented
4C2×C3×C4×D20C211yesmaximal, characteristic
5C3×C5×#389C211yesmaximal, characteristic, complemented
6C3×#65278C212yesmaximal, complemented
7C3×#65274C211yesmaximal, characteristic, complemented
8C3×#65265C211yesmaximal, characteristic, complemented
9C3×C4×#683C211yesmaximal, characteristic, complemented
10C3×#64957C212yesmaximal, complemented
11C3×#64956C212yesmaximal, complemented
12#10607933C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×D20C2211yescharacteristic
14C22×C3×C4×D5C2212yes—
15C22×C3×C4×D5C2212yes—
16C22×C3×C4×D5C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C42×C5C2211yescharacteristic
21C2×C3×#685C2212yes—
22C2×C3×#685C2212yes—
23C2×C3×#685C2212yes—
24C2×C3×C4⋊Dic5C2212yes—
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C2×C3×#683C2211yescharacteristic
27C2×C3×#683C2212yes—
28C2×C3×#683C2212yes—
29C2×C3×#683C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×C3×C4×Dic5C2211yescharacteristic
32C3×#4039—24no—
33C3×#4039C418yescomplemented
34C3×D5×C4⋊C4—28no—
35C3×C4×D20—24no—
36C3×C5×#95C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2211yescharacteristic
39C3×#3963C2211yescharacteristic
40C3×D4×C4⋊C4—51nomaximal, Hall
41C2×#4039C2×C311yescharacteristic
42C2×#4039C2×C311yescharacteristic
43C2×D5×C4⋊C4C2×C312yescomplemented
44C2×C4×D20C2×C311yescharacteristic
45C5×#389C2×C311yescharacteristic, complemented
46#65278C2×C312yescomplemented
47#65274C2×C311yescharacteristic, complemented
48#65265C2×C311yescharacteristic, complemented
49C4×#683C2×C311yescharacteristic, complemented
50#64957C2×C312yescomplemented
51#64956C2×C312yescomplemented
52C23×C3×D5C2312yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2312yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×Dic5C2311yescharacteristic
59C22×C3×Dic5C2312yes—
60C22×C3×Dic5C2311yescharacteristic
61C22×C3×Dic5C2311yescharacteristic
62C22×C3×Dic5C2311yescharacteristic
63C2×C3×D20C2×C414yes—
64C2×C3×D20D414yes—
65C2×C3×D20Q814yes—
66C2×C3×C4×D5—24no—
67C2×C3×C4×D5—24no—
68C2×C3×C4×D5—24no—
69C2×C3×C4×D5—24no—
70C2×C3×C4×D5—24no—
71C2×C3×C4×D5—24no—
72C2×C3×C4×D5—42no—
73C2×C3×C4×D5—42no—
74C2×C3×C4×D5C2×C418yescomplemented
75C3×C5×C4⋊C4—24no—
76C3×C5×C4⋊C4—22no—
77C3×C5×C4⋊C4C2×C414yescomplemented
78C3×C42×C5—22no—
79C3×#685—24no—
80C3×#685—24no—
81C3×#685C2×C418yescomplemented
82C3×C4⋊Dic5—22no—
83C3×C4⋊Dic5—24no—
84C3×#683—24no—
85C3×#683—22no—
86C3×#683—42no—
87C3×#683D414yescomplemented
88C3×C4×Dic5—22no—
89C3×C4×Dic5C2×C414yescomplemented
90C2×C3×C4×D4—51no—
91C2×C3×C4×D4—51no—
92C2×C3×C4×D4—51no—
93C22×C3×C4⋊C4—52no—
94C3×#389—51no—
95C3×#389D511yescharacteristic, complemented
96C3×#385—52no—
97C3×#385—52no—
98C3×#384—51no—
99C3×#380—52no—
100C3×C4×C4⋊C4—51no—
101C22×D20C22×C311yescharacteristic
102C22×C4×D5C22×C312yes—
103C22×C4×D5C22×C312yes—
104C22×C4×D5C22×C312yes—
105C2×C5×C4⋊C4C22×C312yes—
106C2×C5×C4⋊C4C22×C311yescharacteristic
107C2×C5×C4⋊C4C22×C311yescharacteristic
108C2×C42×C5C22×C311yescharacteristic
109C2×#685C22×C312yes—
110C2×#685C22×C312yes—
111C2×#685C22×C312yes—
112C2×C4⋊Dic5C22×C311yescharacteristic
113C2×C4⋊Dic5C22×C312yes—
114C2×#683C22×C312yes—
115C2×#683C22×C311yescharacteristic
116C2×#683C22×C312yes—
117C2×#683C22×C311yescharacteristic
118C2×C4×Dic5C22×C311yescharacteristic
119C2×C4×Dic5C22×C311yescharacteristic
120#4039—24no—
121#4039C3×C418yescomplemented
122D5×C4⋊C4—28no—
123C4×D20—24no—
124C5×#95C22×C312yes—
125#3963C22×C312yes—
126#3963C22×C311yescharacteristic
127#3963C22×C311yescharacteristic
128D4×C4⋊C4—51noSylow
129C23×C3×C5C2411yescharacteristic
130C22×C3×D5—22no—
131C22×C3×D5—22no—
132C22×C3×D5—22no—
133C22×C3×D5—22no—
134C22×C3×D5C22×C414yes—
135C22×C3×D5C2×D414yes—
136C22×C3×D5C2×Q814yes—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5C22×C414yes—
148C2×C3×C4×C5C22×C412yes—
149C2×C3×C4×C5C2×D412yes—
150C2×C3×C4×C5C2×D412yes—
151C2×C3×C4×C5C2×Q812yes—
152C2×C3×Dic5—21no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—21no—
155C2×C3×Dic5—21no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—21no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5—21no—
162C2×C3×Dic5C22×C412yes—
163C2×C3×Dic5C22×C412yes—
164C2×C3×Dic5C2×D412yes—
165C2×C3×Dic5C2×D412yes—
166C2×C3×Dic5#4112yes—
167C3×D20C4⋊C4116yescomplemented
168C3×C4×D5—216no—
169C3×C4×D5—48no—
170C3×C4×D5—48no—
171C22×C3×D4—51no—
172C23×C3×C4—52no—
173C23×C3×C4—52no—
174C23×C3×C4—52no—
175C3×C4×D4—58no—
176C3×C4×D4—104no—
177C3×C4×D4—104no—
178C2×C3×C4⋊C4—51no—
179C2×C3×C4⋊C4—51no—
180C2×C3×C4⋊C4—52no—
181C2×C3×C4⋊C4—51no—
182C2×C3×C4⋊C4—52no—
183C2×C3×C4⋊C4—52no—
184C2×C3×C4⋊C4—108no—
185C2×C3×C4⋊C4C2×D511yescharacteristic
186C2×C3×C4⋊C4C2×D512yes—
187C2×C3×C4⋊C4C2×D511yescharacteristic
188C2×C3×C22⋊C4—52no—
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42—51no—
192C2×C3×C42—51no—
193C2×C3×C42C2×D511yescharacteristic
194C3×#95—51no—
195C3×#95—51no—
196C3×#95—52no—
197C3×#95C2×D512yes—
198C23×D5C23×C312yes—
199C22×C4×C5C23×C311yescharacteristic
200C22×C4×C5C23×C312yes—
201C22×C4×C5C23×C312yes—
202C22×C4×C5C23×C311yescharacteristic
203C22×C4×C5C23×C311yescharacteristic
204C22×Dic5C23×C312yes—
205C22×Dic5C23×C311yescharacteristic
206C22×Dic5C23×C311yescharacteristic
207C22×Dic5C23×C311yescharacteristic
208C22×Dic5C23×C311yescharacteristic
209C2×D20C2×C3×C414yes—
210C2×D20C3×D414yes—
211C2×D20C3×Q814yes—
212C2×C4×D5—24no—
213C2×C4×D5—24no—
214C2×C4×D5—24no—
215C2×C4×D5—24no—
216C2×C4×D5—24no—
217C2×C4×D5—24no—
218C2×C4×D5—42no—
219C2×C4×D5—42no—
220C2×C4×D5C2×C3×C418yescomplemented
221C5×C4⋊C4—24no—
222C5×C4⋊C4—22no—
223C5×C4⋊C4C2×C3×C414yescomplemented
224C42×C5—22no—
225#685—24no—
226#685—24no—
227#685C2×C3×C418yescomplemented
228C4⋊Dic5—22no—
229C4⋊Dic5—24no—
230#683—24no—
231#683—22no—
232#683—42no—
233#683C3×D414yescomplemented
234C4×Dic5—22no—
235C4×Dic5C2×C3×C414yescomplemented
236C2×C4×D4—51no—
237C2×C4×D4—51no—
238C2×C4×D4—51no—
239C22×C4⋊C4—52no—
240#389—51no—
241#389C3×D511yescharacteristic, complemented
242#385—52no—
243#385—52no—
244#384—51no—
245#380—52no—
246C4×C4⋊C4—51no—
247C22×C3×C5C23×C411yescharacteristic
248C22×C3×C5C22×D411yescharacteristic
249C22×C3×C5C22×D411yescharacteristic
250C22×C3×C5C22×Q811yescharacteristic
251C22×C3×C5C2×#4111yescharacteristic
252C22×C3×C5H(5,𝔽2)11yescharacteristic
253C22×C3×C52−1+411yescharacteristic
254C2×C3×D5—24no—
255C2×C3×D5—24no—
256C2×C3×D5—24no—
257C2×C3×D5—24no—
258C2×C3×D5—24no—
259C2×C3×D5—24no—
260C2×C3×D5C2×C4⋊C418yescomplemented
261C3×C4×C5—24no—
262C3×C4×C5—22no—
263C3×C4×C5—42no—
264C3×C4×C5—41no—
265C3×C4×C5C2×C4⋊C414yescomplemented
266C3×Dic5—22no—
267C3×Dic5—22no—
268C3×Dic5—42no—
269C3×Dic5—41no—
270C3×Dic5C4×D414yescomplemented
271C24×C3—52no—
272C2×C3×D4—54no—
273C2×C3×D4—54no—
274C2×C3×D4—54no—
275C22×C3×C4—51no—
276C22×C3×C4—51no—
277C22×C3×C4—51no—
278C22×C3×C4—58no—
279C22×C3×C4—51no—
280C22×C3×C4—52no—
281C22×C3×C4—104no—
282C22×C3×C4—104no—
283C22×C3×C4—104no—
284C22×C3×C4—104no—
285C22×C3×C4—104no—
286C22×C3×C4—104no—
287C22×C3×C4—202no—
288C22×C3×C4—202no—
289C22×C3×C4C22×D511yescharacteristic
290C22×C3×C4C22×D512yes—
291C22×C3×C4C22×D512yes—
292C22×C3×C4C22×D511yescharacteristic
293C22×C3×C4C22×D511yescharacteristic
294C3×C4⋊C4—24no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—54no—
297C3×C4⋊C4—102no—
298C3×C4⋊C4—104no—
299C3×C4⋊C4—104no—
300C3×C4⋊C4—102no—
301C3×C4⋊C4—202no—
302C3×C4⋊C4C4×D514yescomplemented
303C3×C22⋊C4—58no—
304C3×C22⋊C4—104no—
305C3×C22⋊C4—104no—
306C3×C42—22no—
307C3×C42—54no—
308C3×C42—102no—
309C23×C5C24×C311yescharacteristic
310C22×D5—22no—
311C22×D5—22no—
312C22×D5—22no—
313C22×D5—22no—
314C22×D5C22×C3×C414yes—
315C22×D5C2×C3×D414yes—
316C22×D5C2×C3×Q814yes—
317C2×C4×C5—22no—
318C2×C4×C5—21no—
319C2×C4×C5—22no—
320C2×C4×C5—21no—
321C2×C4×C5—22no—
322C2×C4×C5—21no—
323C2×C4×C5—22no—
324C2×C4×C5—21no—
325C2×C4×C5—22no—
326C2×C4×C5—21no—
327C2×C4×C5C22×C3×C414yes—
328C2×C4×C5C22×C3×C412yes—
329C2×C4×C5C2×C3×D412yes—
330C2×C4×C5C2×C3×D412yes—
331C2×C4×C5C2×C3×Q812yes—
332C2×Dic5—21no—
333C2×Dic5—21no—
334C2×Dic5—21no—
335C2×Dic5—21no—
336C2×Dic5—21no—
337C2×Dic5—22no—
338C2×Dic5—22no—
339C2×Dic5—21no—
340C2×Dic5—22no—
341C2×Dic5—21no—
342C2×Dic5C22×C3×C412yes—
343C2×Dic5C22×C3×C412yes—
344C2×Dic5C2×C3×D412yes—
345C2×Dic5C2×C3×D412yes—
346C2×Dic5C3×#4112yes—
347D20C3×C4⋊C4116yescomplemented
348C4×D5—216no—
349C4×D5—48no—
350C4×D5—48no—
351C22×D4—51no—
352C23×C4—52no—
353C23×C4—52no—
354C23×C4—52no—
355C4×D4—58no—
356C4×D4—104no—
357C4×D4—104no—
358C2×C4⋊C4—51no—
359C2×C4⋊C4—52no—
360C2×C4⋊C4—52no—
361C2×C4⋊C4—51no—
362C2×C4⋊C4—51no—
363C2×C4⋊C4—52no—
364C2×C4⋊C4—108no—
365C2×C4⋊C4C2×C3×D512yes—
366C2×C4⋊C4C2×C3×D511yescharacteristic
367C2×C4⋊C4C2×C3×D511yescharacteristic
368C2×C22⋊C4—52no—
369C2×C22⋊C4—52no—
370C2×C22⋊C4—52no—
371C2×C42—51no—
372C2×C42—51no—
373C2×C42C2×C3×D511yescharacteristic
374#95—51no—
375#95—51no—
376#95—52no—
377#95C2×C3×D512yes—
378C2×C3×C5C22×C4⋊C411yescharacteristic
379C2×C3×C5C2×C4×D411yescharacteristic
380C2×C3×C5#52011yescharacteristic
381C2×C3×C5D4211yescharacteristic
382C2×C3×C5#54711yescharacteristic
383C2×C3×C5D4×Q811yescharacteristic
384C2×C3×C5#55411yescharacteristic
385C3×D5—28no—
386C23×C3—54no—
387C23×C3—54no—
388C23×C3—54no—
389C23×C3—102no—
390C23×C3—102no—
391C23×C3—102no—
392C23×C3—102no—
393C23×C3C23×D511yescharacteristic
394C3×D4—516no—
395C2×C3×C4—21no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—52no—
406C2×C3×C4—52no—
407C2×C3×C4—52no—
408C2×C3×C4—52no—
409C2×C3×C4—52no—
410C2×C3×C4—1016no—
411C2×C3×C4—101no—
412C2×C3×C4—101no—
413C2×C3×C4—101no—
414C2×C3×C4—101no—
415C2×C3×C4—101no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4—101no—
419C2×C3×C4—101no—
420C2×C3×C4—102no—
421C2×C3×C4—208no—
422C2×C3×C4—208no—
423C2×C3×C4C2×C4×D514yes—
424C2×C3×C4C2×C4×D512yes—
425C2×C3×C4D4×D512yes—
426C2×C3×C4D4×D512yes—
427C2×C3×C4Q8×D512yes—
428C22×C5C23×C3×C411yescharacteristic
429C22×C5C22×C3×D411yescharacteristic
430C22×C5C22×C3×D411yescharacteristic
431C22×C5C22×C3×Q811yescharacteristic
432C22×C5C2×C3×#4111yescharacteristic
433C22×C5C3×H(5,𝔽2)11yescharacteristic
434C22×C5C3×2−1+411yescharacteristic
435C2×D5—24no—
436C2×D5—24no—
437C2×D5—24no—
438C2×D5—24no—
439C2×D5—24no—
440C2×D5—24no—
441C2×D5C2×C3×C4⋊C418yescomplemented
442C4×C5—24no—
443C4×C5—22no—
444C4×C5—42no—
445C4×C5—41no—
446C4×C5C2×C3×C4⋊C414yescomplemented
447Dic5—22no—
448Dic5—22no—
449Dic5—42no—
450Dic5—41no—
451Dic5C3×C4×D414yescomplemented
452C24—52no—
453C2×D4—54no—
454C2×D4—54no—
455C2×D4—54no—
456C22×C4—51no—
457C22×C4—51no—
458C22×C4—51no—
459C22×C4—58no—
460C22×C4—51no—
461C22×C4—52no—
462C22×C4—104no—
463C22×C4—104no—
464C22×C4—104no—
465C22×C4—104no—
466C22×C4—104no—
467C22×C4—104no—
468C22×C4—202no—
469C22×C4—202no—
470C22×C4C22×C3×D511yescharacteristic
471C22×C4C22×C3×D512yes—
472C22×C4C22×C3×D512yes—
473C22×C4C22×C3×D511yescharacteristic
474C22×C4C22×C3×D511yescharacteristic
475C4⋊C4—24no—
476C4⋊C4—22no—
477C4⋊C4—54no—
478C4⋊C4—104no—
479C4⋊C4—104no—
480C4⋊C4—102no—
481C4⋊C4—102no—
482C4⋊C4—202no—
483C4⋊C4C3×C4×D514yescomplemented
484C22⋊C4—58no—
485C22⋊C4—104no—
486C22⋊C4—104no—
487C42—22no—
488C42—54no—
489C42—102no—
490C3×C5D4×C4⋊C411yescharacteristic, complemented, Hall
491C22×C3—58no—
492C22×C3—104no—
493C22×C3—104no—
494C22×C3—104no—
495C22×C3—104no—
496C22×C3—104no—
497C22×C3—104no—
498C22×C3C22×C4×D511yescharacteristic
499C22×C3C2×D4×D511yescharacteristic
500C22×C3C2×D4×D511yescharacteristic
501C22×C3C2×Q8×D511yescharacteristic
502C22×C3#414711yescharacteristic
503C22×C3D5×#4111yescharacteristic
504C22×C3#414911yescharacteristic
505C3×C4—24no—
506C3×C4—22no—
507C3×C4—42no—
508C3×C4—41no—
509C3×C4—54no—
510C3×C4—102no—
511C3×C4—102no—
512C3×C4—202no—
513C3×C4—201no—
514C3×C4D5×C4⋊C414yescomplemented
515C2×C5C22×C3×C4⋊C411yescharacteristic
516C2×C5C2×C3×C4×D411yescharacteristic
517C2×C5C3×#52011yescharacteristic
518C2×C5C3×D4211yescharacteristic
519C2×C5C3×#54711yescharacteristic
520C2×C5C3×D4×Q811yescharacteristic
521C2×C5C3×#55411yescharacteristic
522D5—28no—
523C23—54no—
524C23—54no—
525C23—54no—
526C23—102no—
527C23—102no—
528C23—102no—
529C23—102no—
530C23C23×C3×D511yescharacteristic
531D4—516no—
532C2×C4—21no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—22no—
542C2×C4—52no—
543C2×C4—52no—
544C2×C4—52no—
545C2×C4—52no—
546C2×C4—52no—
547C2×C4—1016no—
548C2×C4—101no—
549C2×C4—101no—
550C2×C4—101no—
551C2×C4—101no—
552C2×C4—101no—
553C2×C4—102no—
554C2×C4—102no—
555C2×C4—101no—
556C2×C4—101no—
557C2×C4—102no—
558C2×C4—208no—
559C2×C4—208no—
560C2×C4C2×C3×C4×D514yes—
561C2×C4C2×C3×C4×D512yes—
562C2×C4C3×D4×D512yes—
563C2×C4C3×D4×D512yes—
564C2×C4C3×Q8×D512yes—
565C2×C3—108no—
566C2×C3C2×D5×C4⋊C411yescharacteristic
567C2×C3C4×D4×D511yescharacteristic
568C2×C3#6590811yescharacteristic
569C2×C3#6594311yescharacteristic
570C2×C3#6596511yescharacteristic
571C2×C3#6602411yescharacteristic
572C2×C3#6606111yescharacteristic
573C5C3×D4×C4⋊C411yescharacteristic, complemented, Sylow
574C22—58no—
575C22—104no—
576C22—104no—
577C22—104no—
578C22—104no—
579C22—104no—
580C22—104no—
581C22C22×C3×C4×D511yescharacteristic
582C22C2×C3×D4×D511yescharacteristic
583C22C2×C3×D4×D511yescharacteristic
584C22C2×C3×Q8×D511yescharacteristic
585C22C3×#414711yescharacteristic
586C22C3×D5×#4111yescharacteristic
587C22C3×#414911yescharacteristic
588C4—24no—
589C4—22no—
590C4—42no—
591C4—41no—
592C4—54no—
593C4—102no—
594C4—102no—
595C4—202no—
596C4—201no—
597C4C3×D5×C4⋊C414yescomplemented
598C3#1060793311yescharacteristic, direct product factor, Sylow
599C2—108no—
600C2C2×C3×D5×C4⋊C411yescharacteristic
601C2C3×C4×D4×D511yescharacteristic
602C2C3×#6590811yescharacteristic
603C2C3×#6594311yescharacteristic
604C2C3×#6596511yescharacteristic
605C2C3×#6602411yescharacteristic
606C2C3×#6606111yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#389C2
socleC23×C3×C5C24
prime radicalC22×C3×D20C22
cosocleC23×C5C24×C3
hypercenterC3×#389D5
hypocenterC5C3×D4×C4⋊C4
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#389

Complements

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

NH ≅ G/Ntype
3. C2×C3×D5×C4⋊C4C2semidirect
5. C3×C5×#389C2semidirect
6. C3×#65278C2semidirect
7. C3×#65274C2semidirect
8. C3×#65265C2semidirect
9. C3×C4×#683C2semidirect
10. C3×#64957C2semidirect
11. C3×#64956C2semidirect
12. #10607933C3direct (N × H)
33. C3×#4039C4semidirect
43. C2×D5×C4⋊C4C2×C3semidirect
45. C5×#389C2×C3semidirect
46. #65278C2×C3semidirect
47. #65274C2×C3semidirect
48. #65265C2×C3semidirect
49. C4×#683C2×C3semidirect
50. #64957C2×C3semidirect
51. #64956C2×C3semidirect
74. C2×C3×C4×D5C2×C4semidirect
77. C3×C5×C4⋊C4C2×C4semidirect
81. C3×#685C2×C4semidirect
87. C3×#683D4semidirect
89. C3×C4×Dic5C2×C4semidirect
95. C3×#389D5semidirect
121. #4039C3×C4semidirect
167. C3×D20C4⋊C4semidirect
220. C2×C4×D5C2×C3×C4semidirect
223. C5×C4⋊C4C2×C3×C4semidirect
227. #685C2×C3×C4semidirect
233. #683C3×D4semidirect
235. C4×Dic5C2×C3×C4semidirect
241. #389C3×D5semidirect
260. C2×C3×D5C2×C4⋊C4semidirect
265. C3×C4×C5C2×C4⋊C4semidirect
270. C3×Dic5C4×D4semidirect
302. C3×C4⋊C4C4×D5semidirect
347. D20C3×C4⋊C4semidirect
441. C2×D5C2×C3×C4⋊C4semidirect
446. C4×C5C2×C3×C4⋊C4semidirect
451. Dic5C3×C4×D4semidirect
483. C4⋊C4C3×C4×D5semidirect
490. C3×C5D4×C4⋊C4semidirect
514. C3×C4D5×C4⋊C4semidirect
573. C5C3×D4×C4⋊C4semidirect
597. C4C3×D5×C4⋊C4semidirect
598. C3#10607933direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40392
C2×C3×D5×C4⋊C42
C2×C3×C4×D202
C3×C5×#3892
C3×#652782
C3×#652742
C3×#652652
C3×C4×#6832
C3×#649572
C3×#649562
#106079333
C3×D4×C4⋊C45