Finite Group Databasebeta

← C2×C3×#65875 #14483422

Subgroups — C2×C3×#65875 #14483422

Order 1920.

2248 conjugacy classes of subgroups.

The subgroup lattice has 584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×C3×#4081C212yesmaximal
3C2×C3×#4072C211yesmaximal, characteristic, complemented
4C22×C3×C4⋊Dic5C211yesmaximal, characteristic, complemented
5C2×C3×#4070C211yesmaximal, characteristic, complemented
6C2×C3×#4070C211yesmaximal, characteristic, complemented
7C3×#65875C2116yesmaximal, direct product factor
8C2×C3×#4035C212yesmaximal, complemented
9C2×C3×#4025C212yesmaximal, complemented
10C2×C3×#4023C212yesmaximal, complemented
11C2×C3×#4016C211yesmaximal, characteristic, complemented
12C2×C3×C4×Dic10C211yesmaximal, characteristic, complemented
13C2×#65875C311yesmaximal, characteristic, direct product factor, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C23×C3×C4×C5C2211yescharacteristic
17C23×C3×Dic5C2212yes—
18C22×C3×Dic10C2211yescharacteristic
19C3×C4×C5×D4C2218yes—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2211yescharacteristic
22C2×C3×C5×C22⋊C4C2211yescharacteristic
23C2×C3×C42×C5C2211yescharacteristic
24C2×C3×C22⋊Dic5C2212yes—
25C2×C3×C22⋊Dic5C2212yes—
26C2×C3×C22⋊Dic5C2212yes—
27C3×#4081C22116yes—
28C3×#4072C2218yescomplemented
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4⋊Dic5C2211yescharacteristic
31C2×C3×C4⋊Dic5C2211yescharacteristic
32C2×C3×C4⋊Dic5C2212yes—
33C2×C3×C4⋊Dic5C2218yescomplemented
34C3×#4070C2218yescomplemented
35C3×#4070C2218yescomplemented
36C2×C3×#683C2212yes—
37C2×C3×#683C2212yes—
38C2×C3×#683C2212yes—
39C2×C3×#683C2212yes—
40C2×C3×#683C2212yes—
41C2×C3×C4×Dic5C2212yes—
42C2×C3×C4×Dic5C2212yes—
43C3×#4035C22116yescomplemented
44C3×#4025C22116yescomplemented
45C3×#4023C22116yescomplemented
46C3×#4016C2218yescomplemented
47C3×C4×Dic10C2218yescomplemented
48C2×C3×#552—51nomaximal, Hall
49C2×C4×C5×D4C2×C311yescharacteristic
50C2×#4081C2×C312yes—
51C2×#4072C2×C311yescharacteristic, complemented
52C22×C4⋊Dic5C2×C311yescharacteristic, complemented
53C2×#4070C2×C311yescharacteristic, complemented
54C2×#4070C2×C311yescharacteristic, complemented
55#65875C2×C3116yesdirect product factor
56C2×#4035C2×C312yescomplemented
57C2×#4025C2×C312yescomplemented
58C2×#4023C2×C312yescomplemented
59C2×#4016C2×C311yescharacteristic, complemented
60C2×C4×Dic10C2×C311yescharacteristic, complemented
61C24×C3×C5C2311yescharacteristic
62C24×C3×C5C2311yescharacteristic
63C2×C3×C5×D4—24no—
64C2×C3×C5×D4C2314yes—
65C22×C3×C4×C5—24no—
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C22×C3×C4×C5C2311yescharacteristic
70C22×C3×C4×C5C2311yescharacteristic
71C22×C3×C4×C5C2314yes—
72C22×C3×C4×C5C2314yes—
73C22×C3×C4×C5C2311yescharacteristic
74C22×C3×Dic5—28no—
75C22×C3×Dic5C2318yes—
76C22×C3×Dic5C2312yes—
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2312yes—
79C22×C3×Dic5C2312yes—
80C2×C3×Dic10—24no—
81C2×C3×Dic10C2314yes—
82C3×C5×C4⋊C4C2314yes—
83C3×C5×C22⋊C4C2314yes—
84C3×C5×C22⋊C4C2314yes—
85C3×C42×C5C2314yes—
86C3×C22⋊Dic5C2318yes—
87C3×C22⋊Dic5C2318yes—
88C3×C22⋊Dic5C2318yes—
89C3×C4⋊Dic5C2314yes—
90C3×C4⋊Dic5C2314yes—
91C3×C4⋊Dic5C2314yes—
92C3×C4⋊Dic5C2318yes—
93C3×#683C2318yes—
94C3×#683C2318yes—
95C3×#683C2318yes—
96C3×#683C2318yes—
97C3×#683C2318yes—
98C3×C4×Dic5C2318yes—
99C3×C4×Dic5C2318yes—
100C3×#552—516no—
101C2×C3×#126—52no—
102C2×C3×#125—52no—
103C2×C3×#125—51no—
104C2×C3×#123—52no—
105C2×C3×C22⋊Q8—51no—
106C2×C3×C22⋊Q8—51no—
107C2×C3×C4×Q8—51no—
108C2×C3×C4×D4D511yescharacteristic
109C2×C3×#117—51no—
110C2×C3×#117—52no—
111C22×C3×C4⋊C4—51no—
112C22×C5×D4C22×C311yescharacteristic
113C23×C4×C5C22×C311yescharacteristic
114C23×C4×C5C22×C311yescharacteristic
115C23×Dic5C22×C312yes—
116C22×Dic10C22×C311yescharacteristic
117C4×C5×D4C22×C318yes—
118C2×C5×C4⋊C4C22×C311yescharacteristic
119C2×C5×C22⋊C4C22×C311yescharacteristic
120C2×C5×C22⋊C4C22×C311yescharacteristic
121C2×C42×C5C22×C311yescharacteristic
122C2×C22⋊Dic5C22×C312yes—
123C2×C22⋊Dic5C22×C312yes—
124C2×C22⋊Dic5C22×C312yes—
125#4081C22×C3116yes—
126#4072C22×C318yescomplemented
127C2×C4⋊Dic5C22×C311yescharacteristic
128C2×C4⋊Dic5C22×C311yescharacteristic
129C2×C4⋊Dic5C22×C311yescharacteristic
130C2×C4⋊Dic5C22×C312yes—
131C2×C4⋊Dic5C22×C318yescomplemented
132#4070C22×C318yescomplemented
133#4070C22×C318yescomplemented
134C2×#683C22×C312yes—
135C2×#683C22×C312yes—
136C2×#683C22×C312yes—
137C2×#683C22×C312yes—
138C2×#683C22×C312yes—
139C2×C4×Dic5C22×C312yes—
140C2×C4×Dic5C22×C312yes—
141#4035C22×C3116yescomplemented
142#4025C22×C3116yescomplemented
143#4023C22×C3116yescomplemented
144#4016C22×C318yescomplemented
145C4×Dic10C22×C318yescomplemented
146C2×#552—51noSylow
147C23×C3×C5—22no—
148C23×C3×C5—22no—
149C23×C3×C5—22no—
150C23×C3×C5—22no—
151C23×C3×C5—22no—
152C23×C3×C5#4114yes—
153C23×C3×C5C2412yes—
154C23×C3×C5C2412yes—
155C23×C3×C5C2411yescharacteristic
156C3×C5×D4—28no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—22no—
160C2×C3×C4×C5—22no—
161C2×C3×C4×C5—28no—
162C2×C3×C4×C5—28no—
163C2×C3×C4×C5#4114yes—
164C2×C3×C4×C5C2412yes—
165C2×C3×C4×C5C2412yes—
166C2×C3×C4×C5C2412yes—
167C2×C3×C4×C5C2412yes—
168C2×C3×C4×C5C2412yes—
169C2×C3×Dic5—24no—
170C2×C3×Dic5—216no—
171C2×C3×Dic5—24no—
172C2×C3×Dic5—24no—
173C2×C3×Dic5—24no—
174C2×C3×Dic5C2414yes—
175C2×C3×Dic5C2414yes—
176C2×C3×Dic5C2414yes—
177C2×C3×Dic5C2414yes—
178C3×Dic10—28no—
179C22×C3×Q8—51no—
180C22×C3×D4C2×D511yescharacteristic
181C23×C3×C4—52no—
182C23×C3×C4C2×D511yescharacteristic
183C23×C3×C4C2×D511yescharacteristic
184C3×#126—516no—
185C3×#125—516no—
186C3×#125—58no—
187C3×#123—516no—
188C3×C22⋊Q8—58no—
189C3×C22⋊Q8—58no—
190C3×C4×Q8—58no—
191C3×C4×D4C2×D518yes—
192C3×#117—58no—
193C3×#117—516no—
194C2×C3×C4⋊C4—51no—
195C2×C3×C4⋊C4—51no—
196C2×C3×C4⋊C4—52no—
197C2×C3×C4⋊C4—58no—
198C2×C3×C4⋊C4—52no—
199C2×C3×C4⋊C4—51no—
200C2×C3×C4⋊C4—52no—
201C2×C3×C4⋊C4—52no—
202C2×C3×C4⋊C4—52no—
203C2×C3×C4⋊C4—52no—
204C2×C3×C4⋊C4C2×D511yescharacteristic
205C2×C3×C22⋊C4—52no—
206C2×C3×C22⋊C4—52no—
207C2×C3×C22⋊C4—52no—
208C2×C3×C22⋊C4C2×D511yescharacteristic
209C2×C3×C22⋊C4C2×D511yescharacteristic
210C2×C3×C42—52no—
211C2×C3×C42—52no—
212C2×C3×C42C2×D511yescharacteristic
213C24×C5C23×C311yescharacteristic
214C24×C5C23×C311yescharacteristic
215C2×C5×D4—24no—
216C2×C5×D4C23×C314yes—
217C22×C4×C5—24no—
218C22×C4×C5—24no—
219C22×C4×C5C23×C311yescharacteristic
220C22×C4×C5C23×C311yescharacteristic
221C22×C4×C5C23×C311yescharacteristic
222C22×C4×C5C23×C311yescharacteristic
223C22×C4×C5C23×C314yes—
224C22×C4×C5C23×C314yes—
225C22×C4×C5C23×C311yescharacteristic
226C22×Dic5—28no—
227C22×Dic5C23×C312yes—
228C22×Dic5C23×C312yes—
229C22×Dic5C23×C312yes—
230C22×Dic5C23×C312yes—
231C22×Dic5C23×C318yes—
232C2×Dic10—24no—
233C2×Dic10C23×C314yes—
234C5×C4⋊C4C23×C314yes—
235C5×C22⋊C4C23×C314yes—
236C5×C22⋊C4C23×C314yes—
237C42×C5C23×C314yes—
238C22⋊Dic5C23×C318yes—
239C22⋊Dic5C23×C318yes—
240C22⋊Dic5C23×C318yes—
241C4⋊Dic5C23×C314yes—
242C4⋊Dic5C23×C314yes—
243C4⋊Dic5C23×C314yes—
244C4⋊Dic5C23×C318yes—
245#683C23×C318yes—
246#683C23×C318yes—
247#683C23×C318yes—
248#683C23×C318yes—
249#683C23×C318yes—
250C4×Dic5C23×C318yes—
251C4×Dic5C23×C318yes—
252#552—516no—
253C2×#126—52no—
254C2×#125—52no—
255C2×#125—51no—
256C2×#123—52no—
257C2×C22⋊Q8—51no—
258C2×C22⋊Q8—51no—
259C2×C4×Q8—51no—
260C2×C4×D4C3×D511yescharacteristic
261C2×#117—51no—
262C2×#117—52no—
263C22×C4⋊C4—51no—
264C22×C3×C5—28no—
265C22×C3×C5—22no—
266C22×C3×C5—22no—
267C22×C3×C5—22no—
268C22×C3×C5—22no—
269C22×C3×C5—22no—
270C22×C3×C5—44no—
271C22×C3×C5C2×#4114yes—
272C22×C3×C5C2×#4112yes—
273C22×C3×C5C2×#4112yes—
274C22×C3×C52−1+412yes—
275C22×C3×C5C2511yescharacteristic
276C3×C4×C5—22no—
277C3×C4×C5—22no—
278C3×C4×C5—22no—
279C3×C4×C5—22no—
280C3×C4×C5C2×#4114yes—
281C3×Dic5—24no—
282C3×Dic5—24no—
283C3×Dic5—24no—
284C3×Dic5—24no—
285C24×C3C22×D511yescharacteristic
286C24×C3C22×D511yescharacteristic
287C2×C3×Q8—54no—
288C2×C3×Q8—104no—
289C2×C3×D4—24no—
290C2×C3×D4C22×D514yes—
291C22×C3×C4—24no—
292C22×C3×C4—24no—
293C22×C3×C4—58no—
294C22×C3×C4—52no—
295C22×C3×C4—52no—
296C22×C3×C4—52no—
297C22×C3×C4—52no—
298C22×C3×C4—108no—
299C22×C3×C4C22×D514yes—
300C22×C3×C4C22×D514yes—
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D511yescharacteristic
305C22×C3×C4C22×D511yescharacteristic
306C3×C4⋊C4—58no—
307C3×C4⋊C4—58no—
308C3×C4⋊C4—58no—
309C3×C4⋊C4—58no—
310C3×C4⋊C4—58no—
311C3×C4⋊C4—54no—
312C3×C4⋊C4—54no—
313C3×C4⋊C4—58no—
314C3×C4⋊C4—54no—
315C3×C4⋊C4C22×D514yes—
316C3×C22⋊C4—58no—
317C3×C22⋊C4—58no—
318C3×C22⋊C4—58no—
319C3×C22⋊C4C22×D514yes—
320C3×C22⋊C4C22×D514yes—
321C3×C42—58no—
322C3×C42—58no—
323C3×C42C22×D514yes—
324C23×C5—22no—
325C23×C5—22no—
326C23×C5—22no—
327C23×C5—22no—
328C23×C5—22no—
329C23×C5C3×#4114yes—
330C23×C5C24×C312yes—
331C23×C5C24×C312yes—
332C23×C5C24×C311yescharacteristic
333C5×D4—28no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—28no—
339C2×C4×C5—28no—
340C2×C4×C5C3×#4114yes—
341C2×C4×C5C24×C312yes—
342C2×C4×C5C24×C312yes—
343C2×C4×C5C24×C312yes—
344C2×C4×C5C24×C312yes—
345C2×C4×C5C24×C312yes—
346C2×Dic5—24no—
347C2×Dic5—216no—
348C2×Dic5—24no—
349C2×Dic5—24no—
350C2×Dic5—24no—
351C2×Dic5C24×C314yes—
352C2×Dic5C24×C314yes—
353C2×Dic5C24×C314yes—
354C2×Dic5C24×C314yes—
355Dic10—28no—
356C22×Q8—51no—
357C22×D4C2×C3×D511yescharacteristic
358C23×C4—52no—
359C23×C4C2×C3×D511yescharacteristic
360C23×C4C2×C3×D511yescharacteristic
361#126—516no—
362#125—516no—
363#125—58no—
364#123—516no—
365C22⋊Q8—58no—
366C22⋊Q8—58no—
367C4×Q8—58no—
368C4×D4C2×C3×D518yes—
369#117—58no—
370#117—516no—
371C2×C4⋊C4—51no—
372C2×C4⋊C4—51no—
373C2×C4⋊C4—52no—
374C2×C4⋊C4—58no—
375C2×C4⋊C4—52no—
376C2×C4⋊C4—51no—
377C2×C4⋊C4—52no—
378C2×C4⋊C4—52no—
379C2×C4⋊C4—52no—
380C2×C4⋊C4—52no—
381C2×C4⋊C4C2×C3×D511yescharacteristic
382C2×C22⋊C4—52no—
383C2×C22⋊C4—52no—
384C2×C22⋊C4—52no—
385C2×C22⋊C4C2×C3×D511yescharacteristic
386C2×C22⋊C4C2×C3×D511yescharacteristic
387C2×C42—52no—
388C2×C42—52no—
389C2×C42C2×C3×D511yescharacteristic
390C2×C3×C5—24no—
391C2×C3×C5—42no—
392C2×C3×C5#55214yescomplemented
393C2×C3×C5C22×#4111yescharacteristic
394C2×C3×C5C22×#4111yescharacteristic
395C2×C3×C5C2×2−1+411yescharacteristic
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3#70914yes—
402C23×C3C23×D512yes—
403C23×C3C23×D512yes—
404C23×C3C23×D511yescharacteristic
405C3×Q8—108no—
406C3×D4—28no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—28no—
412C2×C3×C4—28no—
413C2×C3×C4—54no—
414C2×C3×C4—54no—
415C2×C3×C4—54no—
416C2×C3×C4—54no—
417C2×C3×C4—1016no—
418C2×C3×C4—104no—
419C2×C3×C4—104no—
420C2×C3×C4—104no—
421C2×C3×C4—104no—
422C2×C3×C4#71114yes—
423C2×C3×C4C23×D512yes—
424C2×C3×C4C23×D512yes—
425C2×C3×C4C23×D512yes—
426C2×C3×C4C23×D512yes—
427C2×C3×C4C23×D512yes—
428C22×C5—22no—
429C22×C5—22no—
430C22×C5—28no—
431C22×C5—22no—
432C22×C5—22no—
433C22×C5—22no—
434C22×C5—44no—
435C22×C5C2×C3×#4114yes—
436C22×C5C2×C3×#4112yes—
437C22×C5C2×C3×#4112yes—
438C22×C5C3×2−1+412yes—
439C22×C5C25×C311yescharacteristic
440C4×C5—22no—
441C4×C5—22no—
442C4×C5—22no—
443C4×C5—22no—
444C4×C5C2×C3×#4114yes—
445Dic5—24no—
446Dic5—24no—
447Dic5—24no—
448Dic5—24no—
449C24C22×C3×D511yescharacteristic
450C24C22×C3×D511yescharacteristic
451C2×Q8—54no—
452C2×Q8—104no—
453C2×D4—24no—
454C2×D4C22×C3×D514yes—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—52no—
458C22×C4—52no—
459C22×C4—52no—
460C22×C4—52no—
461C22×C4—58no—
462C22×C4—108no—
463C22×C4C22×C3×D511yescharacteristic
464C22×C4C22×C3×D511yescharacteristic
465C22×C4C22×C3×D511yescharacteristic
466C22×C4C22×C3×D511yescharacteristic
467C22×C4C22×C3×D514yes—
468C22×C4C22×C3×D514yes—
469C22×C4C22×C3×D511yescharacteristic
470C4⋊C4—54no—
471C4⋊C4—54no—
472C4⋊C4—58no—
473C4⋊C4—58no—
474C4⋊C4—54no—
475C4⋊C4—58no—
476C4⋊C4—58no—
477C4⋊C4—58no—
478C4⋊C4—58no—
479C4⋊C4C22×C3×D514yes—
480C22⋊C4—58no—
481C22⋊C4—58no—
482C22⋊C4—58no—
483C22⋊C4C22×C3×D514yes—
484C22⋊C4C22×C3×D514yes—
485C42—58no—
486C42—58no—
487C42C22×C3×D514yes—
488C3×C5C2×#55211yescharacteristic, complemented, Hall
489C22×C3—28no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—22no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—44no—
496C22×C3C2×#70914yes—
497C22×C3C2×#70912yes—
498C22×C3C2×#71112yes—
499C22×C3#415012yes—
500C22×C3C24×D511yescharacteristic
501C3×C4—22no—
502C3×C4—22no—
503C3×C4—22no—
504C3×C4—22no—
505C3×C4—104no—
506C3×C4—104no—
507C3×C4—104no—
508C3×C4—104no—
509C3×C4C2×#71114yes—
510C2×C5—24no—
511C2×C5—42no—
512C2×C5C3×#55214yescomplemented
513C2×C5C22×C3×#4111yescharacteristic
514C2×C5C22×C3×#4111yescharacteristic
515C2×C5C2×C3×2−1+411yescharacteristic
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23C3×#70914yes—
522C23C23×C3×D512yes—
523C23C23×C3×D512yes—
524C23C23×C3×D511yescharacteristic
525Q8—108no—
526D4—28no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—28no—
532C2×C4—28no—
533C2×C4—54no—
534C2×C4—54no—
535C2×C4—54no—
536C2×C4—54no—
537C2×C4—1016no—
538C2×C4—104no—
539C2×C4—104no—
540C2×C4—104no—
541C2×C4—104no—
542C2×C4C3×#71114yes—
543C2×C4C23×C3×D512yes—
544C2×C4C23×C3×D512yes—
545C2×C4C23×C3×D512yes—
546C2×C4C23×C3×D512yes—
547C2×C4C23×C3×D512yes—
548C2×C3—24no—
549C2×C3—42no—
550C2×C3#6587514yesdirect product factor
551C2×C3C22×#70911yescharacteristic
552C2×C3C22×#71111yescharacteristic
553C2×C3C2×#415011yescharacteristic
554C5C2×C3×#55211yescharacteristic, complemented, Sylow
555C22—28no—
556C22—22no—
557C22—22no—
558C22—22no—
559C22—22no—
560C22—22no—
561C22—44no—
562C22C2×C3×#70914yes—
563C22C2×C3×#70912yes—
564C22C2×C3×#71112yes—
565C22C3×#415012yes—
566C22C24×C3×D511yescharacteristic
567C4—22no—
568C4—22no—
569C4—22no—
570C4—22no—
571C4—104no—
572C4—104no—
573C4—104no—
574C4—104no—
575C4C2×C3×#71114yes—
576C3C2×#6587511yescharacteristic, direct product factor, Sylow
577C2—24no—
578C2—42no—
579C2C3×#6587514yesdirect product factor
580C2C22×C3×#70911yescharacteristic
581C2C22×C3×#71111yescharacteristic
582C2C2×C3×#415011yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC2×C3×C4×C5×D4C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
hypercenterC2×C3×C4×D4D5
hypocenterC5C2×C3×#552
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
3. C2×C3×#4072C2semidirect
4. C22×C3×C4⋊Dic5C2semidirect
5. C2×C3×#4070C2semidirect
6. C2×C3×#4070C2semidirect
7. C3×#65875C2direct (N × H)
8. C2×C3×#4035C2semidirect
9. C2×C3×#4025C2semidirect
10. C2×C3×#4023C2semidirect
11. C2×C3×#4016C2semidirect
12. C2×C3×C4×Dic10C2semidirect
13. C2×#65875C3direct (N × H)
28. C3×#4072C22semidirect
33. C2×C3×C4⋊Dic5C22semidirect
34. C3×#4070C22semidirect
35. C3×#4070C22semidirect
43. C3×#4035C22semidirect
44. C3×#4025C22semidirect
45. C3×#4023C22semidirect
46. C3×#4016C22semidirect
47. C3×C4×Dic10C22semidirect
51. C2×#4072C2×C3semidirect
52. C22×C4⋊Dic5C2×C3semidirect
53. C2×#4070C2×C3semidirect
54. C2×#4070C2×C3semidirect
55. #65875C2×C3direct (N × H)
56. C2×#4035C2×C3semidirect
57. C2×#4025C2×C3semidirect
58. C2×#4023C2×C3semidirect
59. C2×#4016C2×C3semidirect
60. C2×C4×Dic10C2×C3semidirect
126. #4072C22×C3semidirect
131. C2×C4⋊Dic5C22×C3semidirect
132. #4070C22×C3semidirect
133. #4070C22×C3semidirect
141. #4035C22×C3semidirect
142. #4025C22×C3semidirect
143. #4023C22×C3semidirect
144. #4016C22×C3semidirect
145. C4×Dic10C22×C3semidirect
392. C2×C3×C5#552semidirect
488. C3×C5C2×#552semidirect
512. C2×C5C3×#552semidirect
550. C2×C3#65875direct (N × H)
554. C5C2×C3×#552semidirect
576. C3C2×#65875direct (N × H)
579. C2C3×#65875direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C2×C3×#40812
C2×C3×#40722
C22×C3×C4⋊Dic52
C2×C3×#40702
C3×#658752
C2×C3×#40352
C2×C3×#40252
C2×C3×#40232
C2×C3×#40162
C2×C3×C4×Dic102
C2×#658753
C2×C3×#5525