Finite Group Databasebeta

← C2×C3×#65873 #14483803

Subgroups — C2×C3×#65873 #14483803

Order 1920.

2400 conjugacy classes of subgroups.

The subgroup lattice has 568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×C3×D4×Dic5C211yesmaximal, characteristic
3C2×C3×D4×Dic5C211yesmaximal, characteristic
4C2×C3×#4070C212yesmaximal, complemented
5C22×C3×#683C212yesmaximal, complemented
6C3×#65873C2116yesmaximal, direct product factor
7C2×C3×#4036C211yesmaximal, characteristic, complemented
8C2×C3×#4034C211yesmaximal, characteristic, complemented
9C2×C3×#4024C212yesmaximal, complemented
10C2×C3×#4024C212yesmaximal, complemented
11C2×C3×#4016C211yesmaximal, characteristic, complemented
12C2×C3×C4×Dic10C211yesmaximal, characteristic, complemented
13C2×#65873C311yesmaximal, characteristic, direct product factor, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×C4×C5C2212yes—
16C23×C3×Dic5C2212yes—
17C23×C3×Dic5C2212yes—
18C22×C3×Dic10C2211yescharacteristic
19C22×C3×Dic10C2212yes—
20C3×C4×C5×D4C2218yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C22⋊C4C2212yes—
23C2×C3×C42×C5C2211yescharacteristic
24C2×C3×C22⋊Dic5C2212yes—
25C2×C3×C22⋊Dic5C2212yes—
26C3×D4×Dic5C2218yes—
27C3×D4×Dic5C2218yes—
28C2×C3×C4⋊Dic5C2212yes—
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4⋊Dic5C2211yescharacteristic
31C2×C3×C4⋊Dic5C2211yescharacteristic
32C3×#4070C22116yescomplemented
33C2×C3×#683C2211yescharacteristic
34C2×C3×#683C2212yes—
35C2×C3×#683C2212yes—
36C2×C3×#683C2212yes—
37C2×C3×#683C2211yescharacteristic
38C2×C3×#683C2212yes—
39C2×C3×#683C22116yescomplemented
40C2×C3×C4×Dic5C2211yescharacteristic
41C2×C3×C4×Dic5C2211yescharacteristic
42C3×#4036C2218yescomplemented
43C3×#4034C2218yescomplemented
44C3×#4024C22116yescomplemented
45C3×#4024C22116yescomplemented
46C3×#4016C2218yescomplemented
47C3×C4×Dic10C2218yescomplemented
48C2×C3×#554—51nomaximal, Hall
49C2×C4×C5×D4C2×C311yescharacteristic
50C2×D4×Dic5C2×C311yescharacteristic
51C2×D4×Dic5C2×C311yescharacteristic
52C2×#4070C2×C312yescomplemented
53C22×#683C2×C312yescomplemented
54#65873C2×C3116yesdirect product factor
55C2×#4036C2×C311yescharacteristic, complemented
56C2×#4034C2×C311yescharacteristic, complemented
57C2×#4024C2×C312yescomplemented
58C2×#4024C2×C312yescomplemented
59C2×#4016C2×C311yescharacteristic, complemented
60C2×C4×Dic10C2×C311yescharacteristic, complemented
61C24×C3×C5C2312yes—
62C2×C3×C5×D4Q818yescomplemented
63C2×C3×C5×D4C2314yes—
64C22×C3×C4×C5—44no—
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2318yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×C3×Dic5—28no—
71C22×C3×Dic5—44no—
72C22×C3×Dic5C2318yes—
73C22×C3×Dic5C2311yescharacteristic
74C22×C3×Dic5C2311yescharacteristic
75C22×C3×Dic5C2312yes—
76C22×C3×Dic5C2312yes—
77C22×C3×Dic5C2311yescharacteristic
78C22×C3×Dic5C2318yes—
79C22×C3×Dic5C2311yescharacteristic
80C2×C3×Dic10—24no—
81C2×C3×Dic10—44no—
82C2×C3×Dic10C2314yes—
83C2×C3×Dic10C2318yes—
84C3×C5×C4⋊C4C2314yes—
85C3×C5×C22⋊C4C2318yes—
86C3×C42×C5C2314yes—
87C3×C22⋊Dic5C2318yes—
88C3×C22⋊Dic5C2318yes—
89C3×C4⋊Dic5C2314yes—
90C3×C4⋊Dic5C2314yes—
91C3×C4⋊Dic5C2314yes—
92C3×C4⋊Dic5C2318yes—
93C3×#683C2314yes—
94C3×#683C2314yes—
95C3×#683C2318yes—
96C3×#683C2318yes—
97C3×#683C2318yes—
98C3×#683C2318yes—
99C3×C4×Dic5C2314yes—
100C3×C4×Dic5C2314yes—
101C3×#554—516no—
102C2×C3×C4⋊Q8—51no—
103C2×C3×#125—51no—
104C2×C3×#125—51no—
105C2×C3×C22⋊Q8—52no—
106C2×C3×C22⋊Q8—52no—
107C2×C3×C22⋊Q8—52no—
108C2×C3×C4×Q8—51no—
109C2×C3×C4×D4—51no—
110C2×C3×C4×D4—51no—
111C2×C3×C4×D4D511yescharacteristic
112C22×C3×C4⋊C4—52no—
113C22×C5×D4C22×C311yescharacteristic
114C23×C4×C5C22×C312yes—
115C23×Dic5C22×C312yes—
116C23×Dic5C22×C312yes—
117C22×Dic10C22×C311yescharacteristic
118C22×Dic10C22×C312yes—
119C4×C5×D4C22×C318yes—
120C2×C5×C4⋊C4C22×C311yescharacteristic
121C2×C5×C22⋊C4C22×C312yes—
122C2×C42×C5C22×C311yescharacteristic
123C2×C22⋊Dic5C22×C312yes—
124C2×C22⋊Dic5C22×C312yes—
125D4×Dic5C22×C318yes—
126D4×Dic5C22×C318yes—
127C2×C4⋊Dic5C22×C311yescharacteristic
128C2×C4⋊Dic5C22×C311yescharacteristic
129C2×C4⋊Dic5C22×C311yescharacteristic
130C2×C4⋊Dic5C22×C312yes—
131#4070C22×C3116yescomplemented
132C2×#683C22×C311yescharacteristic
133C2×#683C22×C311yescharacteristic
134C2×#683C22×C312yes—
135C2×#683C22×C312yes—
136C2×#683C22×C312yes—
137C2×#683C22×C312yes—
138C2×#683C22×C3116yescomplemented
139C2×C4×Dic5C22×C311yescharacteristic
140C2×C4×Dic5C22×C311yescharacteristic
141#4036C22×C318yescomplemented
142#4034C22×C318yescomplemented
143#4024C22×C3116yescomplemented
144#4024C22×C3116yescomplemented
145#4016C22×C318yescomplemented
146C4×Dic10C22×C318yescomplemented
147C2×#554—51noSylow
148C23×C3×C5—24no—
149C23×C3×C5—24no—
150C23×C3×C5C2×Q818yes—
151C23×C3×C5C2414yes—
152C23×C3×C5C2411yescharacteristic
153C3×C5×D4C2×Q8116yescomplemented
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—24no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—48no—
158C2×C3×C4×C5C2×Q814yes—
159C2×C3×C4×C5C2412yes—
160C2×C3×C4×C5C2412yes—
161C2×C3×C4×C5C2414yes—
162C2×C3×C4×C5C2412yes—
163C2×C3×Dic5—22no—
164C2×C3×Dic5—24no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—24no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—216no—
169C2×C3×Dic5—48no—
170C2×C3×Dic5#4114yes—
171C2×C3×Dic5C2412yes—
172C2×C3×Dic5C2412yes—
173C2×C3×Dic5C2412yes—
174C2×C3×Dic5C2414yes—
175C2×C3×Dic5C2414yes—
176C2×C3×Dic5C2412yes—
177C3×Dic10—28no—
178C3×Dic10—48no—
179C22×C3×Q8—51no—
180C22×C3×Q8—52no—
181C22×C3×D4C2×D511yescharacteristic
182C23×C3×C4—52no—
183C23×C3×C4—52no—
184C23×C3×C4C2×D512yes—
185C3×C4⋊Q8—58no—
186C3×#125—58no—
187C3×#125—58no—
188C3×C22⋊Q8—516no—
189C3×C22⋊Q8—516no—
190C3×C22⋊Q8—516no—
191C3×C4×Q8—58no—
192C3×C4×D4—58no—
193C3×C4×D4—58no—
194C3×C4×D4C2×D518yes—
195C2×C3×C4⋊C4—51no—
196C2×C3×C4⋊C4—52no—
197C2×C3×C4⋊C4—52no—
198C2×C3×C4⋊C4—52no—
199C2×C3×C4⋊C4—516no—
200C2×C3×C4⋊C4—51no—
201C2×C3×C4⋊C4—51no—
202C2×C3×C4⋊C4—51no—
203C2×C3×C4⋊C4—51no—
204C2×C3×C4⋊C4—52no—
205C2×C3×C4⋊C4—52no—
206C2×C3×C4⋊C4C2×D511yescharacteristic
207C2×C3×C22⋊C4—52no—
208C2×C3×C22⋊C4—52no—
209C2×C3×C22⋊C4C2×D512yes—
210C2×C3×C42—51no—
211C2×C3×C42—51no—
212C2×C3×C42C2×D511yescharacteristic
213C24×C5C23×C312yes—
214C2×C5×D4C3×Q818yescomplemented
215C2×C5×D4C23×C314yes—
216C22×C4×C5—44no—
217C22×C4×C5C23×C311yescharacteristic
218C22×C4×C5C23×C311yescharacteristic
219C22×C4×C5C23×C312yes—
220C22×C4×C5C23×C318yes—
221C22×C4×C5C23×C311yescharacteristic
222C22×Dic5—28no—
223C22×Dic5—44no—
224C22×Dic5C23×C311yescharacteristic
225C22×Dic5C23×C311yescharacteristic
226C22×Dic5C23×C312yes—
227C22×Dic5C23×C312yes—
228C22×Dic5C23×C311yescharacteristic
229C22×Dic5C23×C318yes—
230C22×Dic5C23×C318yes—
231C22×Dic5C23×C311yescharacteristic
232C2×Dic10—24no—
233C2×Dic10—44no—
234C2×Dic10C23×C314yes—
235C2×Dic10C23×C318yes—
236C5×C4⋊C4C23×C314yes—
237C5×C22⋊C4C23×C318yes—
238C42×C5C23×C314yes—
239C22⋊Dic5C23×C318yes—
240C22⋊Dic5C23×C318yes—
241C4⋊Dic5C23×C314yes—
242C4⋊Dic5C23×C314yes—
243C4⋊Dic5C23×C314yes—
244C4⋊Dic5C23×C318yes—
245#683C23×C314yes—
246#683C23×C314yes—
247#683C23×C318yes—
248#683C23×C318yes—
249#683C23×C318yes—
250#683C23×C318yes—
251C4×Dic5C23×C314yes—
252C4×Dic5C23×C314yes—
253#554—516no—
254C2×C4⋊Q8—51no—
255C2×#125—51no—
256C2×#125—51no—
257C2×C22⋊Q8—52no—
258C2×C22⋊Q8—52no—
259C2×C22⋊Q8—52no—
260C2×C4×Q8—51no—
261C2×C4×D4—51no—
262C2×C4×D4—51no—
263C2×C4×D4C3×D511yescharacteristic
264C22×C4⋊C4—52no—
265C22×C3×C5—216no—
266C22×C3×C5—24no—
267C22×C3×C5—24no—
268C22×C3×C5C22×Q818yes—
269C22×C3×C5C22×Q812yes—
270C22×C3×C5C2×#4112yes—
271C22×C3×C5H(5,𝔽2)12yes—
272C22×C3×C5C2511yescharacteristic
273C3×C4×C5—22no—
274C3×C4×C5—24no—
275C3×C4×C5—22no—
276C3×C4×C5C22×Q814yes—
277C3×Dic5—22no—
278C3×Dic5—24no—
279C3×Dic5—22no—
280C3×Dic5—24no—
281C3×Dic5—22no—
282C3×Dic5C2×#4114yes—
283C24×C3C22×D512yes—
284C2×C3×Q8—54no—
285C2×C3×Q8—58no—
286C2×C3×Q8—104no—
287C2×C3×Q8—204no—
288C2×C3×D4Dic1018yescomplemented
289C2×C3×D4C22×D514yes—
290C22×C3×C4—44no—
291C22×C3×C4—51no—
292C22×C3×C4—58no—
293C22×C3×C4—51no—
294C22×C3×C4—51no—
295C22×C3×C4—51no—
296C22×C3×C4—52no—
297C22×C3×C4—52no—
298C22×C3×C4—58no—
299C22×C3×C4—108no—
300C22×C3×C4—204no—
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D512yes—
304C22×C3×C4C22×D518yes—
305C22×C3×C4C22×D511yescharacteristic
306C3×C4⋊C4—54no—
307C3×C4⋊C4—58no—
308C3×C4⋊C4—58no—
309C3×C4⋊C4—58no—
310C3×C4⋊C4—54no—
311C3×C4⋊C4—58no—
312C3×C4⋊C4—54no—
313C3×C4⋊C4—54no—
314C3×C4⋊C4—54no—
315C3×C4⋊C4—58no—
316C3×C4⋊C4C22×D514yes—
317C3×C22⋊C4—58no—
318C3×C22⋊C4—58no—
319C3×C22⋊C4C22×D518yes—
320C3×C42—54no—
321C3×C42—54no—
322C3×C42C22×D514yes—
323C23×C5—24no—
324C23×C5—24no—
325C23×C5C2×C3×Q818yes—
326C23×C5C24×C314yes—
327C23×C5C24×C311yescharacteristic
328C5×D4C2×C3×Q8116yescomplemented
329C2×C4×C5—22no—
330C2×C4×C5—24no—
331C2×C4×C5—22no—
332C2×C4×C5—48no—
333C2×C4×C5C2×C3×Q814yes—
334C2×C4×C5C24×C312yes—
335C2×C4×C5C24×C312yes—
336C2×C4×C5C24×C314yes—
337C2×C4×C5C24×C312yes—
338C2×Dic5—22no—
339C2×Dic5—24no—
340C2×Dic5—22no—
341C2×Dic5—24no—
342C2×Dic5—22no—
343C2×Dic5—216no—
344C2×Dic5—48no—
345C2×Dic5C3×#4114yes—
346C2×Dic5C24×C312yes—
347C2×Dic5C24×C312yes—
348C2×Dic5C24×C312yes—
349C2×Dic5C24×C314yes—
350C2×Dic5C24×C314yes—
351C2×Dic5C24×C312yes—
352Dic10—28no—
353Dic10—48no—
354C22×Q8—51no—
355C22×Q8—52no—
356C22×D4C2×C3×D511yescharacteristic
357C23×C4—52no—
358C23×C4—52no—
359C23×C4C2×C3×D512yes—
360C4⋊Q8—58no—
361#125—58no—
362#125—58no—
363C22⋊Q8—516no—
364C22⋊Q8—516no—
365C22⋊Q8—516no—
366C4×Q8—58no—
367C4×D4—58no—
368C4×D4—58no—
369C4×D4C2×C3×D518yes—
370C2×C4⋊C4—51no—
371C2×C4⋊C4—52no—
372C2×C4⋊C4—52no—
373C2×C4⋊C4—52no—
374C2×C4⋊C4—516no—
375C2×C4⋊C4—51no—
376C2×C4⋊C4—51no—
377C2×C4⋊C4—51no—
378C2×C4⋊C4—51no—
379C2×C4⋊C4—52no—
380C2×C4⋊C4—52no—
381C2×C4⋊C4C2×C3×D511yescharacteristic
382C2×C22⋊C4—52no—
383C2×C22⋊C4—52no—
384C2×C22⋊C4C2×C3×D512yes—
385C2×C42—51no—
386C2×C42—51no—
387C2×C42C2×C3×D511yescharacteristic
388C2×C3×C5—28no—
389C2×C3×C5#55414yescomplemented
390C2×C3×C5C23×Q811yescharacteristic
391C2×C3×C5C22×#4111yescharacteristic
392C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
393C23×C3—24no—
394C23×C3—24no—
395C23×C3C2×Dic1018yes—
396C23×C3C23×D514yes—
397C23×C3C23×D511yescharacteristic
398C3×Q8—108no—
399C3×Q8—208no—
400C3×D4C2×Dic10116yescomplemented
401C2×C3×C4—22no—
402C2×C3×C4—24no—
403C2×C3×C4—22no—
404C2×C3×C4—48no—
405C2×C3×C4—54no—
406C2×C3×C4—52no—
407C2×C3×C4—52no—
408C2×C3×C4—52no—
409C2×C3×C4—52no—
410C2×C3×C4—54no—
411C2×C3×C4—54no—
412C2×C3×C4—1016no—
413C2×C3×C4—102no—
414C2×C3×C4—104no—
415C2×C3×C4—102no—
416C2×C3×C4—104no—
417C2×C3×C4—102no—
418C2×C3×C4—208no—
419C2×C3×C4C2×Dic1014yes—
420C2×C3×C4C23×D512yes—
421C2×C3×C4C23×D512yes—
422C2×C3×C4C23×D514yes—
423C2×C3×C4C23×D512yes—
424C22×C5—24no—
425C22×C5—24no—
426C22×C5—216no—
427C22×C5C22×C3×Q818yes—
428C22×C5C22×C3×Q812yes—
429C22×C5C2×C3×#4112yes—
430C22×C5C3×H(5,𝔽2)12yes—
431C22×C5C25×C311yescharacteristic
432C4×C5—22no—
433C4×C5—24no—
434C4×C5—22no—
435C4×C5C22×C3×Q814yes—
436Dic5—22no—
437Dic5—24no—
438Dic5—22no—
439Dic5—24no—
440Dic5—22no—
441Dic5C2×C3×#4114yes—
442C24C22×C3×D512yes—
443C2×Q8—54no—
444C2×Q8—58no—
445C2×Q8—104no—
446C2×Q8—204no—
447C2×D4C3×Dic1018yescomplemented
448C2×D4C22×C3×D514yes—
449C22×C4—44no—
450C22×C4—51no—
451C22×C4—51no—
452C22×C4—51no—
453C22×C4—51no—
454C22×C4—52no—
455C22×C4—52no—
456C22×C4—58no—
457C22×C4—58no—
458C22×C4—108no—
459C22×C4—204no—
460C22×C4C22×C3×D511yescharacteristic
461C22×C4C22×C3×D511yescharacteristic
462C22×C4C22×C3×D512yes—
463C22×C4C22×C3×D518yes—
464C22×C4C22×C3×D511yescharacteristic
465C4⋊C4—54no—
466C4⋊C4—58no—
467C4⋊C4—58no—
468C4⋊C4—58no—
469C4⋊C4—54no—
470C4⋊C4—54no—
471C4⋊C4—54no—
472C4⋊C4—54no—
473C4⋊C4—58no—
474C4⋊C4—58no—
475C4⋊C4C22×C3×D514yes—
476C22⋊C4—58no—
477C22⋊C4—58no—
478C22⋊C4C22×C3×D518yes—
479C42—54no—
480C42—54no—
481C42C22×C3×D514yes—
482C3×C5C2×#55411yescharacteristic, complemented, Hall
483C22×C3—216no—
484C22×C3—24no—
485C22×C3—24no—
486C22×C3C22×Dic1018yes—
487C22×C3C22×Dic1012yes—
488C22×C3#414412yes—
489C22×C3D5×#4112yes—
490C22×C3C24×D511yescharacteristic
491C3×C4—22no—
492C3×C4—24no—
493C3×C4—22no—
494C3×C4—54no—
495C3×C4—102no—
496C3×C4—104no—
497C3×C4—102no—
498C3×C4—104no—
499C3×C4—102no—
500C3×C4C22×Dic1014yes—
501C2×C5—28no—
502C2×C5C3×#55414yescomplemented
503C2×C5C23×C3×Q811yescharacteristic
504C2×C5C22×C3×#4111yescharacteristic
505C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
506C23—24no—
507C23—24no—
508C23C2×C3×Dic1018yes—
509C23C23×C3×D514yes—
510C23C23×C3×D511yescharacteristic
511Q8—108no—
512Q8—208no—
513D4C2×C3×Dic10116yescomplemented
514C2×C4—22no—
515C2×C4—24no—
516C2×C4—22no—
517C2×C4—48no—
518C2×C4—54no—
519C2×C4—52no—
520C2×C4—52no—
521C2×C4—52no—
522C2×C4—52no—
523C2×C4—54no—
524C2×C4—54no—
525C2×C4—1016no—
526C2×C4—102no—
527C2×C4—104no—
528C2×C4—102no—
529C2×C4—104no—
530C2×C4—102no—
531C2×C4—208no—
532C2×C4C2×C3×Dic1014yes—
533C2×C4C23×C3×D512yes—
534C2×C4C23×C3×D512yes—
535C2×C4C23×C3×D514yes—
536C2×C4C23×C3×D512yes—
537C2×C3—28no—
538C2×C3#6587314yesdirect product factor
539C2×C3C23×Dic1011yescharacteristic
540C2×C3C2×#414411yescharacteristic
541C2×C3C2×D5×#4111yescharacteristic
542C5C2×C3×#55411yescharacteristic, complemented, Sylow
543C22—216no—
544C22—24no—
545C22—24no—
546C22C22×C3×Dic1018yes—
547C22C22×C3×Dic1012yes—
548C22C3×#414412yes—
549C22C3×D5×#4112yes—
550C22C24×C3×D511yescharacteristic
551C4—22no—
552C4—24no—
553C4—22no—
554C4—54no—
555C4—102no—
556C4—104no—
557C4—102no—
558C4—104no—
559C4—102no—
560C4C22×C3×Dic1014yes—
561C3C2×#6587311yescharacteristic, direct product factor, Sylow
562C2—28no—
563C2C3×#6587314yesdirect product factor
564C2C23×C3×Dic1011yescharacteristic
565C2C2×C3×#414411yescharacteristic
566C2C2×C3×D5×#4111yescharacteristic
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×#554
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
4. C2×C3×#4070C2semidirect
5. C22×C3×#683C2semidirect
6. C3×#65873C2direct (N × H)
7. C2×C3×#4036C2semidirect
8. C2×C3×#4034C2semidirect
9. C2×C3×#4024C2semidirect
10. C2×C3×#4024C2semidirect
11. C2×C3×#4016C2semidirect
12. C2×C3×C4×Dic10C2semidirect
13. C2×#65873C3direct (N × H)
32. C3×#4070C22semidirect
39. C2×C3×#683C22semidirect
42. C3×#4036C22semidirect
43. C3×#4034C22semidirect
44. C3×#4024C22semidirect
45. C3×#4024C22semidirect
46. C3×#4016C22semidirect
47. C3×C4×Dic10C22semidirect
52. C2×#4070C2×C3semidirect
53. C22×#683C2×C3semidirect
54. #65873C2×C3direct (N × H)
55. C2×#4036C2×C3semidirect
56. C2×#4034C2×C3semidirect
57. C2×#4024C2×C3semidirect
58. C2×#4024C2×C3semidirect
59. C2×#4016C2×C3semidirect
60. C2×C4×Dic10C2×C3semidirect
62. C2×C3×C5×D4Q8semidirect
131. #4070C22×C3semidirect
138. C2×#683C22×C3semidirect
141. #4036C22×C3semidirect
142. #4034C22×C3semidirect
143. #4024C22×C3semidirect
144. #4024C22×C3semidirect
145. #4016C22×C3semidirect
146. C4×Dic10C22×C3semidirect
153. C3×C5×D4C2×Q8semidirect
214. C2×C5×D4C3×Q8semidirect
288. C2×C3×D4Dic10semidirect
328. C5×D4C2×C3×Q8semidirect
389. C2×C3×C5#554semidirect
400. C3×D4C2×Dic10semidirect
447. C2×D4C3×Dic10semidirect
482. C3×C5C2×#554semidirect
502. C2×C5C3×#554semidirect
513. D4C2×C3×Dic10semidirect
538. C2×C3#65873direct (N × H)
542. C5C2×C3×#554semidirect
561. C3C2×#65873direct (N × H)
563. C2C3×#65873direct (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×D4×Dic52
C2×C3×#40702
C22×C3×#6832
C3×#658732
C2×C3×#40362
C2×C3×#40342
C2×C3×#40242
C2×C3×#40162
C2×C3×C4×Dic102
C2×#658733
C2×C3×#5545