Finite Group Databasebeta

← C2×C3×#66028 #14483416

Subgroups — C2×C3×#66028 #14483416

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×C5×#125C211yesmaximal, characteristic, complemented
2C3×#66028C2116yesmaximal, direct product factor
3C2×C3×#4044C212yesmaximal, complemented
4C2×C3×#4043C211yesmaximal, characteristic, complemented
5C2×C3×#4043C211yesmaximal, characteristic, complemented
6C2×C3×#4040C212yesmaximal
7C2×C3×#4038C211yesmaximal, characteristic, complemented
8C2×C3×#4038C212yesmaximal, complemented
9C2×C3×D5×C4⋊C4C211yesmaximal, characteristic, complemented
10C2×C3×#4036C212yesmaximal, complemented
11C2×C3×C4×D20C211yesmaximal, characteristic
12C2×C3×C4×Dic10C211yesmaximal, characteristic, complemented
13C2×#66028C311yesmaximal, characteristic, direct product factor, Hall
14C22×C3×D20C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×C3×C4×D5C2212yes—
18C22×C3×Dic10C2211yescharacteristic
19C3×C5×#125C2218yescomplemented
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C42×C5C2211yescharacteristic
25C2×C3×#685C2212yes—
26C2×C3×#685C2212yes—
27C2×C3×#685C2211yescharacteristic
28C2×C3×#685C2212yes—
29C2×C3×#685C2211yescharacteristic
30C2×C3×C4⋊Dic5C2212yes—
31C2×C3×C4⋊Dic5C2212yes—
32C2×C3×C4⋊Dic5C2211yescharacteristic
33C2×C3×C4⋊Dic5C2211yescharacteristic
34C2×C3×#683C2212yes—
35C2×C3×#683C2212yes—
36C2×C3×C4×Dic5C2212yes—
37C2×C3×C4×Dic5C2212yes—
38C3×#4044C22116yescomplemented
39C3×#4043C2218yescomplemented
40C3×#4043C2218yescomplemented
41C3×#4040C22116yes—
42C3×#4038C22116yescomplemented
43C3×#4038C2218yescomplemented
44C3×D5×C4⋊C4C2218yescomplemented
45C3×#4036C22116yescomplemented
46C3×C4×D20C2218yes—
47C3×C4×Dic10C2218yescomplemented
48C2×C3×#552—51nomaximal, Hall
49C2×C5×#125C2×C311yescharacteristic, complemented
50#66028C2×C3116yesdirect product factor
51C2×#4044C2×C312yescomplemented
52C2×#4043C2×C311yescharacteristic, complemented
53C2×#4043C2×C311yescharacteristic, complemented
54C2×#4040C2×C312yes—
55C2×#4038C2×C311yescharacteristic, complemented
56C2×#4038C2×C312yescomplemented
57C2×D5×C4⋊C4C2×C311yescharacteristic, complemented
58C2×#4036C2×C312yescomplemented
59C2×C4×D20C2×C311yescharacteristic
60C2×C4×Dic10C2×C311yescharacteristic, complemented
61C23×C3×D5C2311yescharacteristic
62C23×C3×D5C2311yescharacteristic
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2311yescharacteristic
72C2×C3×D20—24no—
73C2×C3×D20C2314yes—
74C2×C3×C4×D5—28no—
75C2×C3×C4×D5—24no—
76C2×C3×C4×D5—24no—
77C2×C3×C4×D5C2314yes—
78C2×C3×C4×D5C2314yes—
79C2×C3×C4×D5C2318yes—
80C2×C3×Dic10—24no—
81C2×C3×Dic10C2314yes—
82C3×C5×C4⋊C4C2318yes—
83C3×C5×C4⋊C4C2314yes—
84C3×C5×C4⋊C4C2314yes—
85C3×C5×C4⋊C4C2318yes—
86C3×C42×C5C2314yes—
87C3×#685C2314yes—
88C3×#685C2314yes—
89C3×#685C2318yes—
90C3×#685C2318yes—
91C3×#685C2318yes—
92C3×C4⋊Dic5C2314yes—
93C3×C4⋊Dic5C2314yes—
94C3×C4⋊Dic5C2318yes—
95C3×C4⋊Dic5C2318yes—
96C3×#683C2318yes—
97C3×#683C2318yes—
98C3×C4×Dic5C2318yes—
99C3×C4×Dic5C2318yes—
100C3×#552—516no—
101C2×C3×#126—52no—
102C2×C3×#125—52no—
103C2×C3×#125D511yescharacteristic, complemented
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—51no—
110C2×C3×#117—52no—
111C22×C3×C4⋊C4—51no—
112C22×D20C22×C311yescharacteristic
113C22×C4×D5C22×C311yescharacteristic
114C22×C4×D5C22×C311yescharacteristic
115C22×C4×D5C22×C312yes—
116C22×Dic10C22×C311yescharacteristic
117C5×#125C22×C318yescomplemented
118C2×C5×C4⋊C4C22×C312yes—
119C2×C5×C4⋊C4C22×C311yescharacteristic
120C2×C5×C4⋊C4C22×C311yescharacteristic
121C2×C5×C4⋊C4C22×C312yes—
122C2×C42×C5C22×C311yescharacteristic
123C2×#685C22×C311yescharacteristic
124C2×#685C22×C311yescharacteristic
125C2×#685C22×C312yes—
126C2×#685C22×C312yes—
127C2×#685C22×C312yes—
128C2×C4⋊Dic5C22×C311yescharacteristic
129C2×C4⋊Dic5C22×C311yescharacteristic
130C2×C4⋊Dic5C22×C312yes—
131C2×C4⋊Dic5C22×C312yes—
132C2×#683C22×C312yes—
133C2×#683C22×C312yes—
134C2×C4×Dic5C22×C312yes—
135C2×C4×Dic5C22×C312yes—
136#4044C22×C3116yescomplemented
137#4043C22×C318yescomplemented
138#4043C22×C318yescomplemented
139#4040C22×C3116yes—
140#4038C22×C3116yescomplemented
141#4038C22×C318yescomplemented
142D5×C4⋊C4C22×C318yescomplemented
143#4036C22×C3116yescomplemented
144C4×D20C22×C318yes—
145C4×Dic10C22×C318yescomplemented
146C2×#552—51noSylow
147C23×C3×C5C2411yescharacteristic
148C22×C3×D5—22no—
149C22×C3×D5—22no—
150C22×C3×D5—22no—
151C22×C3×D5—22no—
152C22×C3×D5—22no—
153C22×C3×D5#4114yes—
154C22×C3×D5C2412yes—
155C22×C3×D5C2412yes—
156C2×C3×C4×C5—24no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—24no—
160C2×C3×C4×C5#4114yes—
161C2×C3×C4×C5C2412yes—
162C2×C3×C4×C5C2414yes—
163C2×C3×C4×C5C2412yes—
164C2×C3×C4×C5C2414yes—
165C2×C3×C4×C5C2412yes—
166C2×C3×Dic5—24no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—24no—
170C2×C3×Dic5C2414yes—
171C2×C3×Dic5C2412yes—
172C2×C3×Dic5C2414yes—
173C2×C3×Dic5C2412yes—
174C3×D20—28no—
175C3×C4×D5—216no—
176C3×C4×D5—28no—
177C3×C4×D5—28no—
178C3×Dic10—28no—
179C22×C3×Q8—51no—
180C22×C3×D4—51no—
181C23×C3×C4—52no—
182C23×C3×C4—51no—
183C23×C3×C4—51no—
184C3×#126—516no—
185C3×#125—516no—
186C3×#125C2×D518yescomplemented
187C3×#123—516no—
188C3×C22⋊Q8—58no—
189C3×C22⋊Q8—58no—
190C3×C4×Q8—58no—
191C3×C4×D4—58no—
192C3×#117—58no—
193C3×#117—516no—
194C2×C3×C4⋊C4—51no—
195C2×C3×C4⋊C4—52no—
196C2×C3×C4⋊C4—52no—
197C2×C3×C4⋊C4—51no—
198C2×C3×C4⋊C4—52no—
199C2×C3×C4⋊C4—52no—
200C2×C3×C4⋊C4—58no—
201C2×C3×C4⋊C4C2×D511yescharacteristic
202C2×C3×C4⋊C4C2×D511yescharacteristic
203C2×C3×C4⋊C4C2×D512yes—
204C2×C3×C4⋊C4C2×D512yes—
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×C42C2×D511yescharacteristic
213C23×D5C23×C311yescharacteristic
214C23×D5C23×C311yescharacteristic
215C22×C4×C5C23×C311yescharacteristic
216C22×C4×C5C23×C311yescharacteristic
217C22×C4×C5C23×C312yes—
218C22×C4×C5C23×C312yes—
219C22×C4×C5C23×C311yescharacteristic
220C22×Dic5C23×C312yes—
221C22×Dic5C23×C312yes—
222C22×Dic5C23×C311yescharacteristic
223C22×Dic5C23×C311yescharacteristic
224C2×D20—24no—
225C2×D20C23×C314yes—
226C2×C4×D5—28no—
227C2×C4×D5—24no—
228C2×C4×D5—24no—
229C2×C4×D5C23×C314yes—
230C2×C4×D5C23×C314yes—
231C2×C4×D5C23×C318yes—
232C2×Dic10—24no—
233C2×Dic10C23×C314yes—
234C5×C4⋊C4C23×C318yes—
235C5×C4⋊C4C23×C314yes—
236C5×C4⋊C4C23×C314yes—
237C5×C4⋊C4C23×C318yes—
238C42×C5C23×C314yes—
239#685C23×C314yes—
240#685C23×C314yes—
241#685C23×C318yes—
242#685C23×C318yes—
243#685C23×C318yes—
244C4⋊Dic5C23×C314yes—
245C4⋊Dic5C23×C314yes—
246C4⋊Dic5C23×C318yes—
247C4⋊Dic5C23×C318yes—
248#683C23×C318yes—
249#683C23×C318yes—
250C4×Dic5C23×C318yes—
251C4×Dic5C23×C318yes—
252#552—516no—
253C2×#126—52no—
254C2×#125—52no—
255C2×#125C3×D511yescharacteristic, complemented
256C2×#123—52no—
257C2×C22⋊Q8—51no—
258C2×C22⋊Q8—51no—
259C2×C4×Q8—51no—
260C2×C4×D4—51no—
261C2×#117—51no—
262C2×#117—52no—
263C22×C4⋊C4—51no—
264C22×C3×C5C2×#4112yes—
265C22×C3×C5C2×#4112yes—
266C22×C3×C52−1+412yes—
267C22×C3×C5C2511yescharacteristic
268C2×C3×D5—28no—
269C2×C3×D5—22no—
270C2×C3×D5—22no—
271C2×C3×D5—22no—
272C2×C3×D5—22no—
273C2×C3×D5—22no—
274C2×C3×D5—44no—
275C2×C3×D5C2×#4114yes—
276C3×C4×C5—24no—
277C3×C4×C5—22no—
278C3×C4×C5—22no—
279C3×C4×C5—24no—
280C3×C4×C5C2×#4114yes—
281C3×Dic5—24no—
282C3×Dic5—22no—
283C3×Dic5—22no—
284C3×Dic5—24no—
285C24×C3—51no—
286C24×C3—51no—
287C2×C3×Q8—54no—
288C2×C3×Q8—104no—
289C2×C3×D4—54no—
290C2×C3×D4—104no—
291C22×C3×C4—51no—
292C22×C3×C4—52no—
293C22×C3×C4—52no—
294C22×C3×C4—51no—
295C22×C3×C4—58no—
296C22×C3×C4—54no—
297C22×C3×C4—54no—
298C22×C3×C4—108no—
299C22×C3×C4—104no—
300C22×C3×C4—104no—
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D512yes—
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D512yes—
305C22×C3×C4C22×D511yescharacteristic
306C3×C4⋊C4—58no—
307C3×C4⋊C4—58no—
308C3×C4⋊C4—54no—
309C3×C4⋊C4—58no—
310C3×C4⋊C4—54no—
311C3×C4⋊C4—58no—
312C3×C4⋊C4C22×D514yes—
313C3×C4⋊C4C22×D514yes—
314C3×C4⋊C4C22×D518yes—
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×C42C22×D514yes—
324C23×C5C24×C311yescharacteristic
325C22×D5—22no—
326C22×D5—22no—
327C22×D5—22no—
328C22×D5—22no—
329C22×D5—22no—
330C22×D5C3×#4114yes—
331C22×D5C24×C312yes—
332C22×D5C24×C312yes—
333C2×C4×C5—24no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—24no—
337C2×C4×C5C3×#4114yes—
338C2×C4×C5C24×C312yes—
339C2×C4×C5C24×C314yes—
340C2×C4×C5C24×C312yes—
341C2×C4×C5C24×C314yes—
342C2×C4×C5C24×C312yes—
343C2×Dic5—24no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—24no—
347C2×Dic5C24×C314yes—
348C2×Dic5C24×C312yes—
349C2×Dic5C24×C314yes—
350C2×Dic5C24×C312yes—
351D20—28no—
352C4×D5—216no—
353C4×D5—28no—
354C4×D5—28no—
355Dic10—28no—
356C22×Q8—51no—
357C22×D4—51no—
358C23×C4—52no—
359C23×C4—51no—
360C23×C4—51no—
361#126—516no—
362#125—516no—
363#125C2×C3×D518yescomplemented
364#123—516no—
365C22⋊Q8—58no—
366C22⋊Q8—58no—
367C4×Q8—58no—
368C4×D4—58no—
369#117—58no—
370#117—516no—
371C2×C4⋊C4—51no—
372C2×C4⋊C4—52no—
373C2×C4⋊C4—52no—
374C2×C4⋊C4—51no—
375C2×C4⋊C4—52no—
376C2×C4⋊C4—52no—
377C2×C4⋊C4—58no—
378C2×C4⋊C4C2×C3×D511yescharacteristic
379C2×C4⋊C4C2×C3×D511yescharacteristic
380C2×C4⋊C4C2×C3×D512yes—
381C2×C4⋊C4C2×C3×D512yes—
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×C42C2×C3×D511yescharacteristic
390C2×C3×C5#55214yescomplemented
391C2×C3×C5C22×#4111yescharacteristic
392C2×C3×C5C22×#4111yescharacteristic
393C2×C3×C5C2×2−1+411yescharacteristic
394C3×D5—24no—
395C3×D5—42no—
396C23×C3—54no—
397C23×C3—52no—
398C23×C3—52no—
399C23×C3—102no—
400C23×C3—102no—
401C23×C3—102no—
402C23×C3—102no—
403C23×C3—102no—
404C23×C3C23×D511yescharacteristic
405C3×Q8—108no—
406C3×D4—108no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—24no—
411C2×C3×C4—52no—
412C2×C3×C4—54no—
413C2×C3×C4—54no—
414C2×C3×C4—52no—
415C2×C3×C4—1016no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4—104no—
419C2×C3×C4—104no—
420C2×C3×C4—108no—
421C2×C3×C4—108no—
422C2×C3×C4#71314yes—
423C2×C3×C4C23×D512yes—
424C2×C3×C4C23×D514yes—
425C2×C3×C4C23×D512yes—
426C2×C3×C4C23×D514yes—
427C2×C3×C4C23×D512yes—
428C22×C5C2×C3×#4112yes—
429C22×C5C2×C3×#4112yes—
430C22×C5C3×2−1+412yes—
431C22×C5C25×C311yescharacteristic
432C2×D5—22no—
433C2×D5—22no—
434C2×D5—28no—
435C2×D5—22no—
436C2×D5—22no—
437C2×D5—22no—
438C2×D5—44no—
439C2×D5C2×C3×#4114yes—
440C4×C5—24no—
441C4×C5—22no—
442C4×C5—22no—
443C4×C5—24no—
444C4×C5C2×C3×#4114yes—
445Dic5—24no—
446Dic5—22no—
447Dic5—22no—
448Dic5—24no—
449C24—51no—
450C24—51no—
451C2×Q8—54no—
452C2×Q8—104no—
453C2×D4—54no—
454C2×D4—104no—
455C22×C4—51no—
456C22×C4—52no—
457C22×C4—52no—
458C22×C4—51no—
459C22×C4—58no—
460C22×C4—54no—
461C22×C4—54no—
462C22×C4—108no—
463C22×C4—104no—
464C22×C4—104no—
465C22×C4C22×C3×D511yescharacteristic
466C22×C4C22×C3×D512yes—
467C22×C4C22×C3×D511yescharacteristic
468C22×C4C22×C3×D512yes—
469C22×C4C22×C3×D511yescharacteristic
470C4⋊C4—54no—
471C4⋊C4—58no—
472C4⋊C4—58no—
473C4⋊C4—54no—
474C4⋊C4—58no—
475C4⋊C4—58no—
476C4⋊C4C22×C3×D514yes—
477C4⋊C4C22×C3×D514yes—
478C4⋊C4C22×C3×D518yes—
479C4⋊C4C22×C3×D518yes—
480C22⋊C4—54no—
481C22⋊C4—58no—
482C22⋊C4—58no—
483C22⋊C4—54no—
484C22⋊C4—58no—
485C42—58no—
486C42—58no—
487C42C22×C3×D514yes—
488C3×C5C2×#55211yescharacteristic, complemented, Hall
489C22×C3—54no—
490C22×C3—102no—
491C22×C3—102no—
492C22×C3—108no—
493C22×C3—102no—
494C22×C3—102no—
495C22×C3—102no—
496C22×C3—204no—
497C22×C3C2×#71312yes—
498C22×C3D5×#4112yes—
499C22×C3#415012yes—
500C22×C3C24×D511yescharacteristic
501C3×C4—24no—
502C3×C4—22no—
503C3×C4—22no—
504C3×C4—24no—
505C3×C4—102no—
506C3×C4—102no—
507C3×C4—104no—
508C3×C4—104no—
509C3×C4C2×#71314yes—
510C2×C5C3×#55214yescomplemented
511C2×C5C22×C3×#4111yescharacteristic
512C2×C5C22×C3×#4111yescharacteristic
513C2×C5C2×C3×2−1+411yescharacteristic
514D5—24no—
515D5—42no—
516C23—54no—
517C23—52no—
518C23—52no—
519C23—102no—
520C23—102no—
521C23—102no—
522C23—102no—
523C23—102no—
524C23C23×C3×D511yescharacteristic
525Q8—108no—
526D4—108no—
527C2×C4—24no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—24no—
531C2×C4—52no—
532C2×C4—54no—
533C2×C4—54no—
534C2×C4—52no—
535C2×C4—1016no—
536C2×C4—102no—
537C2×C4—102no—
538C2×C4—104no—
539C2×C4—104no—
540C2×C4—108no—
541C2×C4—108no—
542C2×C4C3×#71314yes—
543C2×C4C23×C3×D512yes—
544C2×C4C23×C3×D514yes—
545C2×C4C23×C3×D512yes—
546C2×C4C23×C3×D514yes—
547C2×C4C23×C3×D512yes—
548C2×C3—104no—
549C2×C3—202no—
550C2×C3#6602814yesdirect product factor
551C2×C3C22×#71311yescharacteristic
552C2×C3C2×D5×#4111yescharacteristic
553C2×C3C2×#415011yescharacteristic
554C5C2×C3×#55211yescharacteristic, complemented, Sylow
555C22—54no—
556C22—102no—
557C22—102no—
558C22—108no—
559C22—102no—
560C22—102no—
561C22—102no—
562C22—204no—
563C22C2×C3×#71312yes—
564C22C3×D5×#4112yes—
565C22C3×#415012yes—
566C22C24×C3×D511yescharacteristic
567C4—24no—
568C4—22no—
569C4—22no—
570C4—24no—
571C4—102no—
572C4—102no—
573C4—104no—
574C4—104no—
575C4C2×C3×#71314yes—
576C3C2×#6602811yescharacteristic, direct product factor, Sylow
577C2—104no—
578C2—202no—
579C2C3×#6602814yesdirect product factor
580C2C22×C3×#71311yescharacteristic
581C2C2×C3×D5×#4111yescharacteristic
582C2C2×C3×#415011yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC2×C3×C5×#125C2
socleC23×C3×C5C24
prime radicalC22×C3×D20C22
hypercenterC2×C3×#125D5
hypocenterC5C2×C3×#552
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#125

Complements

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

NH ≅ G/Ntype
1. C2×C3×C5×#125C2semidirect
2. C3×#66028C2direct (N × H)
3. C2×C3×#4044C2semidirect
4. C2×C3×#4043C2semidirect
5. C2×C3×#4043C2semidirect
7. C2×C3×#4038C2semidirect
8. C2×C3×#4038C2semidirect
9. C2×C3×D5×C4⋊C4C2semidirect
10. C2×C3×#4036C2semidirect
12. C2×C3×C4×Dic10C2semidirect
13. C2×#66028C3direct (N × H)
19. C3×C5×#125C22semidirect
38. C3×#4044C22semidirect
39. C3×#4043C22semidirect
40. C3×#4043C22semidirect
42. C3×#4038C22semidirect
43. C3×#4038C22semidirect
44. C3×D5×C4⋊C4C22semidirect
45. C3×#4036C22semidirect
47. C3×C4×Dic10C22semidirect
49. C2×C5×#125C2×C3semidirect
50. #66028C2×C3direct (N × H)
51. C2×#4044C2×C3semidirect
52. C2×#4043C2×C3semidirect
53. C2×#4043C2×C3semidirect
55. C2×#4038C2×C3semidirect
56. C2×#4038C2×C3semidirect
57. C2×D5×C4⋊C4C2×C3semidirect
58. C2×#4036C2×C3semidirect
60. C2×C4×Dic10C2×C3semidirect
103. C2×C3×#125D5semidirect
117. C5×#125C22×C3semidirect
136. #4044C22×C3semidirect
137. #4043C22×C3semidirect
138. #4043C22×C3semidirect
140. #4038C22×C3semidirect
141. #4038C22×C3semidirect
142. D5×C4⋊C4C22×C3semidirect
143. #4036C22×C3semidirect
145. C4×Dic10C22×C3semidirect
186. C3×#125C2×D5semidirect
255. C2×#125C3×D5semidirect
363. #125C2×C3×D5semidirect
390. C2×C3×C5#552semidirect
488. C3×C5C2×#552semidirect
510. C2×C5C3×#552semidirect
550. C2×C3#66028direct (N × H)
554. C5C2×C3×#552semidirect
576. C3C2×#66028direct (N × H)
579. C2C3×#66028direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1252
C3×#660282
C2×C3×#40442
C2×C3×#40432
C2×C3×#40402
C2×C3×#40382
C2×C3×D5×C4⋊C42
C2×C3×#40362
C2×C3×C4×D202
C2×C3×C4×Dic102
C2×#660283
C2×C3×#5525