Finite Group Databasebeta

← C2×C3×#65847 #14483407

Subgroups — C2×C3×#65847 #14483407

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
1C22×C3×C5×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×C3×#4075C212yesmaximal
3C2×C3×C4×C22⋊D5C211yesmaximal, characteristic
4C2×C3×#4072C212yesmaximal, complemented
5C2×C3×#4070C211yesmaximal, characteristic, complemented
6C3×#65847C2116yesmaximal, direct product factor
7C2×C3×#4044C212yesmaximal, complemented
8C2×C3×#4043C211yesmaximal, characteristic, complemented
9C2×C3×#4038C211yesmaximal, characteristic, complemented
10C2×C3×#4036C211yesmaximal, characteristic, complemented
11C2×C3×#4035C212yesmaximal, complemented
12C2×C3×#4033C211yesmaximal, characteristic, complemented
13C2×#65847C311yesmaximal, characteristic, direct product factor, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2212yes—
16C22×C3×C22⋊D5C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×Dic10C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2218yescomplemented
23C2×C3×C22⋊Dic5C2212yes—
24C2×C3×C22⋊Dic5C2211yescharacteristic
25C3×#4075C22116yes—
26C3×C4×C22⋊D5C2218yes—
27C2×C3×#685C2212yes—
28C2×C3×#685C2211yescharacteristic
29C2×C3×#685C2212yes—
30C3×#4072C22116yescomplemented
31C2×C3×C4⋊Dic5C2212yes—
32C2×C3×C4⋊Dic5C2212yes—
33C2×C3×C4⋊Dic5C2211yescharacteristic
34C3×#4070C2218yescomplemented
35C2×C3×#683C2212yes—
36C2×C3×#683C2211yescharacteristic
37C2×C3×#683C2212yes—
38C2×C3×#683C2212yes—
39C2×C3×C4×Dic5C2212yes—
40C2×C3×C4×Dic5C2212yes—
41C2×C3×C4×Dic5C2211yescharacteristic
42C3×#4044C22116yescomplemented
43C3×#4043C2218yescomplemented
44C3×#4038C2218yescomplemented
45C3×#4036C2218yescomplemented
46C3×#4035C22116yescomplemented
47C3×#4033C2218yescomplemented
48C2×C3×#552—51nomaximal, Hall
49C22×C5×C4⋊C4C2×C311yescharacteristic, complemented
50C2×#4075C2×C312yes—
51C2×C4×C22⋊D5C2×C311yescharacteristic
52C2×#4072C2×C312yescomplemented
53C2×#4070C2×C311yescharacteristic, complemented
54#65847C2×C3116yesdirect product factor
55C2×#4044C2×C312yescomplemented
56C2×#4043C2×C311yescharacteristic, complemented
57C2×#4038C2×C311yescharacteristic, complemented
58C2×#4036C2×C311yescharacteristic, complemented
59C2×#4035C2×C312yescomplemented
60C2×#4033C2×C311yescharacteristic, complemented
61C24×C3×C5C2311yescharacteristic
62C23×C3×D5C2311yescharacteristic
63C22×C3×C4×C5—28no—
64C22×C3×C4×C5—24no—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2318yes—
70C22×C3×C4×C5C2311yescharacteristic
71C2×C3×C22⋊D5—24no—
72C2×C3×C22⋊D5C2314yes—
73C22×C3×Dic5C2312yes—
74C22×C3×Dic5C2311yescharacteristic
75C22×C3×Dic5C2311yescharacteristic
76C22×C3×Dic5C2312yes—
77C22×C3×Dic5C2311yescharacteristic
78C2×C3×C4×D5—24no—
79C2×C3×C4×D5C2314yes—
80C2×C3×Dic10—24no—
81C2×C3×Dic10C2314yes—
82C3×C5×C4⋊C4C2314yes—
83C3×C5×C4⋊C4C2318yes—
84C3×C5×C4⋊C4C2314yes—
85C3×C22⋊Dic5C2318yes—
86C3×C22⋊Dic5C2314yes—
87C3×#685C2318yes—
88C3×#685C2318yes—
89C3×#685C2314yes—
90C3×C4⋊Dic5C2318yes—
91C3×C4⋊Dic5C2314yes—
92C3×C4⋊Dic5C2318yes—
93C3×#683C2318yes—
94C3×#683C2314yes—
95C3×#683C2318yes—
96C3×#683C2318yes—
97C3×C4×Dic5C2314yes—
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×D4—51no—
109C2×C3×#117—52no—
110C2×C3×#117—51no—
111C22×C3×C4⋊C4D511yescharacteristic, complemented
112C23×C4×C5C22×C311yescharacteristic
113C23×C4×C5C22×C312yes—
114C22×C22⋊D5C22×C311yescharacteristic
115C22×C4×D5C22×C311yescharacteristic
116C22×Dic10C22×C311yescharacteristic
117C2×C5×C4⋊C4C22×C311yescharacteristic
118C2×C5×C4⋊C4C22×C312yes—
119C2×C5×C4⋊C4C22×C311yescharacteristic
120C2×C5×C4⋊C4C22×C318yescomplemented
121C2×C22⋊Dic5C22×C312yes—
122C2×C22⋊Dic5C22×C311yescharacteristic
123#4075C22×C3116yes—
124C4×C22⋊D5C22×C318yes—
125C2×#685C22×C312yes—
126C2×#685C22×C312yes—
127C2×#685C22×C311yescharacteristic
128#4072C22×C3116yescomplemented
129C2×C4⋊Dic5C22×C312yes—
130C2×C4⋊Dic5C22×C311yescharacteristic
131C2×C4⋊Dic5C22×C312yes—
132#4070C22×C318yescomplemented
133C2×#683C22×C312yes—
134C2×#683C22×C311yescharacteristic
135C2×#683C22×C312yes—
136C2×#683C22×C312yes—
137C2×C4×Dic5C22×C311yescharacteristic
138C2×C4×Dic5C22×C312yes—
139C2×C4×Dic5C22×C312yes—
140#4044C22×C3116yescomplemented
141#4043C22×C318yescomplemented
142#4038C22×C318yescomplemented
143#4036C22×C318yescomplemented
144#4035C22×C3116yescomplemented
145#4033C22×C318yescomplemented
146C2×#552—51noSylow
147C23×C3×C5—22no—
148C23×C3×C5—22no—
149C23×C3×C5#4114yes—
150C23×C3×C5C2412yes—
151C23×C3×C5C2411yescharacteristic
152C22×C3×D5—22no—
153C22×C3×D5—22no—
154C22×C3×D5—22no—
155C22×C3×D5C2412yes—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—216no—
158C2×C3×C4×C5—24no—
159C2×C3×C4×C5—24no—
160C2×C3×C4×C5—28no—
161C2×C3×C4×C5#4114yes—
162C2×C3×C4×C5C2414yes—
163C2×C3×C4×C5C2412yes—
164C2×C3×C4×C5C2414yes—
165C2×C3×C4×C5C2412yes—
166C3×C22⋊D5—28no—
167C2×C3×Dic5—24no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5—24no—
172C2×C3×Dic5C2412yes—
173C2×C3×Dic5C2412yes—
174C2×C3×Dic5C2412yes—
175C2×C3×Dic5C2414yes—
176C2×C3×Dic5C2414yes—
177C3×C4×D5—28no—
178C3×Dic10—28no—
179C22×C3×Q8—51no—
180C22×C3×D4—51no—
181C23×C3×C4—51no—
182C23×C3×C4C2×D512yes—
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×D4—58no—
192C3×#117—516no—
193C3×#117—58no—
194C2×C3×C4⋊C4—52no—
195C2×C3×C4⋊C4—51no—
196C2×C3×C4⋊C4—52no—
197C2×C3×C4⋊C4—51no—
198C2×C3×C4⋊C4—52no—
199C2×C3×C4⋊C4—52no—
200C2×C3×C4⋊C4—52no—
201C2×C3×C4⋊C4C2×D511yescharacteristic
202C2×C3×C4⋊C4C2×D511yescharacteristic
203C2×C3×C4⋊C4C2×D512yes—
204C2×C3×C4⋊C4C2×D518yescomplemented
205C2×C3×C22⋊C4—51no—
206C2×C3×C22⋊C4—52no—
207C2×C3×C22⋊C4—52no—
208C2×C3×C22⋊C4—51no—
209C2×C3×C22⋊C4—52no—
210C2×C3×C42—52no—
211C2×C3×C42—52no—
212C2×C3×C42—51no—
213C24×C5C23×C311yescharacteristic
214C23×D5C23×C311yescharacteristic
215C22×C4×C5—28no—
216C22×C4×C5—24no—
217C22×C4×C5C23×C312yes—
218C22×C4×C5C23×C311yescharacteristic
219C22×C4×C5C23×C312yes—
220C22×C4×C5C23×C314yes—
221C22×C4×C5C23×C318yes—
222C22×C4×C5C23×C311yescharacteristic
223C2×C22⋊D5—24no—
224C2×C22⋊D5C23×C314yes—
225C22×Dic5C23×C312yes—
226C22×Dic5C23×C311yescharacteristic
227C22×Dic5C23×C311yescharacteristic
228C22×Dic5C23×C312yes—
229C22×Dic5C23×C311yescharacteristic
230C2×C4×D5—24no—
231C2×C4×D5C23×C314yes—
232C2×Dic10—24no—
233C2×Dic10C23×C314yes—
234C5×C4⋊C4C23×C314yes—
235C5×C4⋊C4C23×C318yes—
236C5×C4⋊C4C23×C314yes—
237C22⋊Dic5C23×C318yes—
238C22⋊Dic5C23×C314yes—
239#685C23×C318yes—
240#685C23×C318yes—
241#685C23×C314yes—
242C4⋊Dic5C23×C318yes—
243C4⋊Dic5C23×C314yes—
244C4⋊Dic5C23×C318yes—
245#683C23×C318yes—
246#683C23×C314yes—
247#683C23×C318yes—
248#683C23×C318yes—
249C4×Dic5C23×C314yes—
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×D4—51no—
261C2×#117—52no—
262C2×#117—51no—
263C22×C4⋊C4C3×D511yescharacteristic, complemented
264C22×C3×C5—28no—
265C22×C3×C5—22no—
266C22×C3×C5—22no—
267C22×C3×C5C2×#4112yes—
268C22×C3×C5C2×#4114yes—
269C22×C3×C5C2×#4112yes—
270C22×C3×C52−1+412yes—
271C22×C3×C5C2511yescharacteristic
272C2×C3×D5—22no—
273C2×C3×D5—22no—
274C2×C3×D5—22no—
275C2×C3×D5—44no—
276C3×C4×C5—22no—
277C3×C4×C5—24no—
278C3×C4×C5—24no—
279C3×C4×C5C2×#4114yes—
280C3×Dic5—24no—
281C3×Dic5—22no—
282C3×Dic5—22no—
283C3×Dic5—22no—
284C3×Dic5—24no—
285C24×C3—51no—
286C24×C3C22×D511yescharacteristic
287C2×C3×Q8—54no—
288C2×C3×Q8—104no—
289C2×C3×D4—54no—
290C2×C3×D4—104no—
291C22×C3×C4—28no—
292C22×C3×C4—24no—
293C22×C3×C4—51no—
294C22×C3×C4—51no—
295C22×C3×C4—52no—
296C22×C3×C4—52no—
297C22×C3×C4—51no—
298C22×C3×C4—54no—
299C22×C3×C4—104no—
300C22×C3×C4C22×D518yes—
301C22×C3×C4C22×D514yes—
302C22×C3×C4C22×D512yes—
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D512yes—
305C22×C3×C4C22×D511yescharacteristic
306C3×C4⋊C4—54no—
307C3×C4⋊C4—58no—
308C3×C4⋊C4—58no—
309C3×C4⋊C4—58no—
310C3×C4⋊C4—58no—
311C3×C4⋊C4—54no—
312C3×C4⋊C4—58no—
313C3×C4⋊C4C22×D514yes—
314C3×C4⋊C4C22×D514yes—
315C3×C4⋊C4C22×D518yes—
316C3×C22⋊C4—54no—
317C3×C22⋊C4—58no—
318C3×C22⋊C4—58no—
319C3×C22⋊C4—54no—
320C3×C22⋊C4—58no—
321C3×C42—58no—
322C3×C42—58no—
323C3×C42—54no—
324C23×C5—22no—
325C23×C5—22no—
326C23×C5C3×#4114yes—
327C23×C5C24×C312yes—
328C23×C5C24×C311yescharacteristic
329C22×D5—22no—
330C22×D5—22no—
331C22×D5—22no—
332C22×D5C24×C312yes—
333C2×C4×C5—22no—
334C2×C4×C5—216no—
335C2×C4×C5—24no—
336C2×C4×C5—24no—
337C2×C4×C5—28no—
338C2×C4×C5C3×#4114yes—
339C2×C4×C5C24×C314yes—
340C2×C4×C5C24×C312yes—
341C2×C4×C5C24×C314yes—
342C2×C4×C5C24×C312yes—
343C22⋊D5—28no—
344C2×Dic5—24no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—24no—
349C2×Dic5C24×C312yes—
350C2×Dic5C24×C312yes—
351C2×Dic5C24×C312yes—
352C2×Dic5C24×C314yes—
353C2×Dic5C24×C314yes—
354C4×D5—28no—
355Dic10—28no—
356C22×Q8—51no—
357C22×D4—51no—
358C23×C4—51no—
359C23×C4C2×C3×D512yes—
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×D4—58no—
369#117—516no—
370#117—58no—
371C2×C4⋊C4—52no—
372C2×C4⋊C4—51no—
373C2×C4⋊C4—52no—
374C2×C4⋊C4—51no—
375C2×C4⋊C4—52no—
376C2×C4⋊C4—52no—
377C2×C4⋊C4—52no—
378C2×C4⋊C4C2×C3×D511yescharacteristic
379C2×C4⋊C4C2×C3×D511yescharacteristic
380C2×C4⋊C4C2×C3×D512yes—
381C2×C4⋊C4C2×C3×D518yescomplemented
382C2×C22⋊C4—51no—
383C2×C22⋊C4—52no—
384C2×C22⋊C4—52no—
385C2×C22⋊C4—51no—
386C2×C22⋊C4—52no—
387C2×C42—52no—
388C2×C42—52no—
389C2×C42—51no—
390C2×C3×C5—24no—
391C2×C3×C5#55214yescomplemented
392C2×C3×C5C22×#4111yescharacteristic
393C2×C3×C5C22×#4111yescharacteristic
394C2×C3×C5C2×2−1+411yescharacteristic
395C3×D5—42no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—52no—
399C23×C3—102no—
400C23×C3—102no—
401C23×C3—102no—
402C23×C3#71114yes—
403C23×C3C23×D512yes—
404C23×C3C23×D511yescharacteristic
405C3×Q8—108no—
406C3×D4—108no—
407C2×C3×C4—22no—
408C2×C3×C4—216no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—28no—
412C2×C3×C4—52no—
413C2×C3×C4—52no—
414C2×C3×C4—54no—
415C2×C3×C4—54no—
416C2×C3×C4—52no—
417C2×C3×C4—102no—
418C2×C3×C4—104no—
419C2×C3×C4—102no—
420C2×C3×C4—102no—
421C2×C3×C4—104no—
422C2×C3×C4—108no—
423C2×C3×C4#70914yes—
424C2×C3×C4C23×D514yes—
425C2×C3×C4C23×D512yes—
426C2×C3×C4C23×D514yes—
427C2×C3×C4C23×D512yes—
428C22×C5—22no—
429C22×C5—22no—
430C22×C5—28no—
431C22×C5C2×C3×#4112yes—
432C22×C5C2×C3×#4114yes—
433C22×C5C2×C3×#4112yes—
434C22×C5C3×2−1+412yes—
435C22×C5C25×C311yescharacteristic
436C2×D5—22no—
437C2×D5—22no—
438C2×D5—22no—
439C2×D5—44no—
440C4×C5—22no—
441C4×C5—24no—
442C4×C5—24no—
443C4×C5C2×C3×#4114yes—
444Dic5—24no—
445Dic5—22no—
446Dic5—22no—
447Dic5—22no—
448Dic5—24no—
449C24—51no—
450C24C22×C3×D511yescharacteristic
451C2×Q8—54no—
452C2×Q8—104no—
453C2×D4—54no—
454C2×D4—104no—
455C22×C4—28no—
456C22×C4—24no—
457C22×C4—51no—
458C22×C4—51no—
459C22×C4—52no—
460C22×C4—52no—
461C22×C4—51no—
462C22×C4—54no—
463C22×C4—104no—
464C22×C4C22×C3×D512yes—
465C22×C4C22×C3×D511yescharacteristic
466C22×C4C22×C3×D512yes—
467C22×C4C22×C3×D518yes—
468C22×C4C22×C3×D514yes—
469C22×C4C22×C3×D511yescharacteristic
470C4⋊C4—58no—
471C4⋊C4—54no—
472C4⋊C4—58no—
473C4⋊C4—54no—
474C4⋊C4—58no—
475C4⋊C4—58no—
476C4⋊C4—58no—
477C4⋊C4C22×C3×D514yes—
478C4⋊C4C22×C3×D514yes—
479C4⋊C4C22×C3×D518yes—
480C22⋊C4—54no—
481C22⋊C4—58no—
482C22⋊C4—58no—
483C22⋊C4—54no—
484C22⋊C4—58no—
485C42—58no—
486C42—58no—
487C42—54no—
488C3×C5C2×#55211yescharacteristic, complemented, Hall
489C22×C3—28no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—102no—
493C22×C3—102no—
494C22×C3—102no—
495C22×C3—204no—
496C22×C3C2×#70912yes—
497C22×C3C2×#71114yes—
498C22×C3C2×#71112yes—
499C22×C3#414712yes—
500C22×C3C24×D511yescharacteristic
501C3×C4—22no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4—102no—
505C3×C4—104no—
506C3×C4—102no—
507C3×C4—102no—
508C3×C4—104no—
509C3×C4C2×#70914yes—
510C2×C5—24no—
511C2×C5C3×#55214yescomplemented
512C2×C5C22×C3×#4111yescharacteristic
513C2×C5C22×C3×#4111yescharacteristic
514C2×C5C2×C3×2−1+411yescharacteristic
515D5—42no—
516C23—22no—
517C23—22no—
518C23—52no—
519C23—102no—
520C23—102no—
521C23—102no—
522C23C3×#71114yes—
523C23C23×C3×D512yes—
524C23C23×C3×D511yescharacteristic
525Q8—108no—
526D4—108no—
527C2×C4—22no—
528C2×C4—216no—
529C2×C4—24no—
530C2×C4—24no—
531C2×C4—28no—
532C2×C4—52no—
533C2×C4—52no—
534C2×C4—54no—
535C2×C4—54no—
536C2×C4—52no—
537C2×C4—102no—
538C2×C4—104no—
539C2×C4—102no—
540C2×C4—102no—
541C2×C4—104no—
542C2×C4—108no—
543C2×C4C3×#70914yes—
544C2×C4C23×C3×D514yes—
545C2×C4C23×C3×D512yes—
546C2×C4C23×C3×D514yes—
547C2×C4C23×C3×D512yes—
548C2×C3—24no—
549C2×C3—202no—
550C2×C3#6584714yesdirect product factor
551C2×C3C22×#70911yescharacteristic
552C2×C3C22×#71111yescharacteristic
553C2×C3C2×#414711yescharacteristic
554C5C2×C3×#55211yescharacteristic, complemented, Sylow
555C22—28no—
556C22—22no—
557C22—22no—
558C22—102no—
559C22—102no—
560C22—102no—
561C22—204no—
562C22C2×C3×#70912yes—
563C22C2×C3×#71114yes—
564C22C2×C3×#71112yes—
565C22C3×#414712yes—
566C22C24×C3×D511yescharacteristic
567C4—22no—
568C4—24no—
569C4—24no—
570C4—102no—
571C4—104no—
572C4—102no—
573C4—102no—
574C4—104no—
575C4C2×C3×#70914yes—
576C3C2×#6584711yescharacteristic, direct product factor, Sylow
577C2—24no—
578C2—202no—
579C2C3×#6584714yesdirect product factor
580C2C22×C3×#70911yescharacteristic
581C2C22×C3×#71111yescharacteristic
582C2C2×C3×#414711yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC22×C3×C5×C4⋊C4C2
socleC23×C3×C5C24
prime radicalC22×C3×C22⋊D5C22
hypercenterC22×C3×C4⋊C4D5
hypocenterC5C2×C3×#552
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C22×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C5×C4⋊C4C2semidirect
4. C2×C3×#4072C2semidirect
5. C2×C3×#4070C2semidirect
6. C3×#65847C2direct (N × H)
7. C2×C3×#4044C2semidirect
8. C2×C3×#4043C2semidirect
9. C2×C3×#4038C2semidirect
10. C2×C3×#4036C2semidirect
11. C2×C3×#4035C2semidirect
12. C2×C3×#4033C2semidirect
13. C2×#65847C3direct (N × H)
22. C2×C3×C5×C4⋊C4C22semidirect
30. C3×#4072C22semidirect
34. C3×#4070C22semidirect
42. C3×#4044C22semidirect
43. C3×#4043C22semidirect
44. C3×#4038C22semidirect
45. C3×#4036C22semidirect
46. C3×#4035C22semidirect
47. C3×#4033C22semidirect
49. C22×C5×C4⋊C4C2×C3semidirect
52. C2×#4072C2×C3semidirect
53. C2×#4070C2×C3semidirect
54. #65847C2×C3direct (N × H)
55. C2×#4044C2×C3semidirect
56. C2×#4043C2×C3semidirect
57. C2×#4038C2×C3semidirect
58. C2×#4036C2×C3semidirect
59. C2×#4035C2×C3semidirect
60. C2×#4033C2×C3semidirect
111. C22×C3×C4⋊C4D5semidirect
120. C2×C5×C4⋊C4C22×C3semidirect
128. #4072C22×C3semidirect
132. #4070C22×C3semidirect
140. #4044C22×C3semidirect
141. #4043C22×C3semidirect
142. #4038C22×C3semidirect
143. #4036C22×C3semidirect
144. #4035C22×C3semidirect
145. #4033C22×C3semidirect
204. C2×C3×C4⋊C4C2×D5semidirect
263. C22×C4⋊C4C3×D5semidirect
381. C2×C4⋊C4C2×C3×D5semidirect
391. C2×C3×C5#552semidirect
488. C3×C5C2×#552semidirect
511. C2×C5C3×#552semidirect
550. C2×C3#65847direct (N × H)
554. C5C2×C3×#552semidirect
576. C3C2×#65847direct (N × H)
579. C2C3×#65847direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C5×C4⋊C42
C2×C3×#40752
C2×C3×C4×C22⋊D52
C2×C3×#40722
C2×C3×#40702
C3×#658472
C2×C3×#40442
C2×C3×#40432
C2×C3×#40382
C2×C3×#40362
C2×C3×#40352
C2×C3×#40332
C2×#658473
C2×C3×#5525