Finite Group Databasebeta

← C3×#10614049 #14320556

Subgroups — C3×#10614049 #14320556

Order 1920.

1392 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×#4072C211yesmaximal, characteristic, complemented
3C22×C3×C4×Dic5C211yesmaximal, characteristic, complemented
4C3×#65509C212yesmaximal
5C3×C4×C22⋊Dic5C211yesmaximal, characteristic, complemented
6C3×C4×C22⋊Dic5C211yesmaximal, characteristic, complemented
7C3×#65270C212yesmaximal, complemented
8C3×#65240C212yesmaximal, complemented
9C3×#65239C212yesmaximal, complemented
10C3×C4×C4⋊Dic5C211yesmaximal, characteristic, complemented
11C3×#65221C211yesmaximal, characteristic, complemented
12#10614049C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C23×C3×Dic5C2212yes—
17C3×C4×C5×D4C418yescomplemented
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×C3×C5×C22⋊C4C2211yescharacteristic
21C2×C3×C42×C5C2211yescharacteristic
22C2×C3×C22⋊Dic5C2212yes—
23C2×C3×C22⋊Dic5C2212yes—
24C2×C3×C22⋊Dic5C2212yes—
25C3×#4072—24no—
26C2×C3×C4⋊Dic5C2212yes—
27C2×C3×C4⋊Dic5C2212yes—
28C2×C3×C4×Dic5—24no—
29C2×C3×C4×Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2212yes—
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×C3×C4×Dic5C2211yescharacteristic
33C2×C3×C4×Dic5C2211yescharacteristic
34C3×#3963C2212yes—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2290—51nomaximal, Hall
40C2×C4×C5×D4C2×C311yescharacteristic
41C2×#4072C2×C311yescharacteristic, complemented
42C22×C4×Dic5C2×C311yescharacteristic, complemented
43#65509C2×C312yes—
44C4×C22⋊Dic5C2×C311yescharacteristic, complemented
45C4×C22⋊Dic5C2×C311yescharacteristic, complemented
46#65270C2×C312yescomplemented
47#65240C2×C312yescomplemented
48#65239C2×C312yescomplemented
49C4×C4⋊Dic5C2×C311yescharacteristic, complemented
50#65221C2×C311yescharacteristic, complemented
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2311yescharacteristic
53C2×C3×C5×D4—24no—
54C2×C3×C5×D4C2×C414yes—
55C22×C3×C4×C5—22no—
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5—22no—
58C22×C3×C4×C5—22no—
59C22×C3×C4×C5C2×C414yes—
60C22×C3×C4×C5C2×C414yescomplemented
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×Dic5—24no—
67C22×C3×Dic5—24no—
68C22×C3×Dic5—24no—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2312yes—
73C3×C5×C4⋊C4C2×C414yescomplemented
74C3×C5×C22⋊C4C2×C414yes—
75C3×C5×C22⋊C4C2×C414yescomplemented
76C3×C42×C5C2×C414yescomplemented
77C3×C22⋊Dic5—24no—
78C3×C22⋊Dic5—24no—
79C3×C22⋊Dic5—24no—
80C3×C4⋊Dic5—24no—
81C3×C4⋊Dic5—24no—
82C3×C4×Dic5—22no—
83C3×C4×Dic5—22no—
84C3×C4×Dic5—22no—
85C3×C4×Dic5—24no—
86C3×C4×Dic5D414yescomplemented
87C2×C3×C4×D4D511yescharacteristic
88C2×C3×#117—51no—
89C22×C3×C42—51no—
90C3×#388—52no—
91C3×#387—52no—
92C3×#386—52no—
93C3×#385—52no—
94C3×C4×C4⋊C4—51no—
95C3×C4×C22⋊C4—51no—
96C3×C4×C22⋊C4—51no—
97C3×#376—51no—
98C22×C5×D4C22×C311yescharacteristic
99C23×C4×C5C22×C311yescharacteristic
100C23×C4×C5C22×C311yescharacteristic
101C23×Dic5C22×C312yes—
102C4×C5×D4C3×C418yescomplemented
103C2×C5×C4⋊C4C22×C311yescharacteristic
104C2×C5×C22⋊C4C22×C311yescharacteristic
105C2×C5×C22⋊C4C22×C311yescharacteristic
106C2×C42×C5C22×C311yescharacteristic
107C2×C22⋊Dic5C22×C312yes—
108C2×C22⋊Dic5C22×C312yes—
109C2×C22⋊Dic5C22×C312yes—
110#4072—24no—
111C2×C4⋊Dic5C22×C312yes—
112C2×C4⋊Dic5C22×C312yes—
113C2×C4×Dic5—24no—
114C2×C4×Dic5C22×C311yescharacteristic
115C2×C4×Dic5C22×C312yes—
116C2×C4×Dic5C22×C311yescharacteristic
117C2×C4×Dic5C22×C311yescharacteristic
118C2×C4×Dic5C22×C311yescharacteristic
119#3963C22×C312yes—
120#3963C22×C312yes—
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C312yes—
124#2290—51noSylow
125C23×C3×C5—21no—
126C23×C3×C5—22no—
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—22no—
130C23×C3×C5—21no—
131C23×C3×C5—22no—
132C23×C3×C5C22×C412yes—
133C23×C3×C5C22×C412yes—
134C23×C3×C5#4114yes—
135C23×C3×C5C2411yescharacteristic
136C3×C5×D4—28no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—28no—
144C2×C3×C4×C5—28no—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C22×C412yes—
148C2×C3×C4×C5C22×C412yes—
149C2×C3×C4×C5C22×C412yes—
150C2×C3×C4×C5C2×D412yes—
151C2×C3×C4×C5#4112yes—
152C2×C3×Dic5—216no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5—22no—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5C2×D414yes—
164C2×C3×Dic5#4114yes—
165C22×C3×D4C2×D511yescharacteristic
166C23×C3×C4—52no—
167C23×C3×C4C2×D511yescharacteristic
168C23×C3×C4C2×D511yescharacteristic
169C3×C4×D4Dic518yescomplemented
170C3×#117—104no—
171C2×C3×C4⋊C4—52no—
172C2×C3×C4⋊C4—52no—
173C2×C3×C4⋊C4C2×D511yescharacteristic
174C2×C3×C22⋊C4—52no—
175C2×C3×C22⋊C4—52no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4C2×D511yescharacteristic
178C2×C3×C22⋊C4C2×D511yescharacteristic
179C2×C3×C42—51no—
180C2×C3×C42—52no—
181C2×C3×C42—51no—
182C2×C3×C42—51no—
183C2×C3×C42—51no—
184C2×C3×C42—104no—
185C2×C3×C42C2×D511yescharacteristic
186C3×#95—52no—
187C3×#95—52no—
188C3×#95—52no—
189C3×#95—52no—
190C3×#95—52no—
191C24×C5C23×C311yescharacteristic
192C24×C5C23×C311yescharacteristic
193C2×C5×D4—24no—
194C2×C5×D4C2×C3×C414yes—
195C22×C4×C5—22no—
196C22×C4×C5—22no—
197C22×C4×C5—22no—
198C22×C4×C5—22no—
199C22×C4×C5C2×C3×C414yes—
200C22×C4×C5C2×C3×C414yescomplemented
201C22×C4×C5C23×C311yescharacteristic
202C22×C4×C5C23×C311yescharacteristic
203C22×C4×C5C23×C311yescharacteristic
204C22×C4×C5C23×C311yescharacteristic
205C22×C4×C5C23×C311yescharacteristic
206C22×Dic5—24no—
207C22×Dic5—24no—
208C22×Dic5—24no—
209C22×Dic5C23×C312yes—
210C22×Dic5C23×C312yes—
211C22×Dic5C23×C312yes—
212C22×Dic5C23×C312yes—
213C5×C4⋊C4C2×C3×C414yescomplemented
214C5×C22⋊C4C2×C3×C414yes—
215C5×C22⋊C4C2×C3×C414yescomplemented
216C42×C5C2×C3×C414yescomplemented
217C22⋊Dic5—24no—
218C22⋊Dic5—24no—
219C22⋊Dic5—24no—
220C4⋊Dic5—24no—
221C4⋊Dic5—24no—
222C4×Dic5—22no—
223C4×Dic5—22no—
224C4×Dic5—22no—
225C4×Dic5—24no—
226C4×Dic5C3×D414yescomplemented
227C2×C4×D4C3×D511yescharacteristic
228C2×#117—51no—
229C22×C42—51no—
230#388—52no—
231#387—52no—
232#386—52no—
233#385—52no—
234C4×C4⋊C4—51no—
235C4×C22⋊C4—51no—
236C4×C22⋊C4—51no—
237#376—51no—
238C22×C3×C5—22no—
239C22×C3×C5—22no—
240C22×C3×C5—24no—
241C22×C3×C5—24no—
242C22×C3×C5—22no—
243C22×C3×C5—22no—
244C22×C3×C5—22no—
245C22×C3×C5—42no—
246C22×C3×C5—42no—
247C22×C3×C5#11714yescomplemented
248C22×C3×C5C23×C411yescharacteristic
249C22×C3×C5C22×D411yescharacteristic
250C22×C3×C5C2×#4112yes—
251C22×C3×C5C2×#4111yescharacteristic
252C22×C3×C5C2×#4112yes—
253C3×C4×C5—22no—
254C3×C4×C5—22no—
255C3×C4×C5—22no—
256C3×C4×C5—22no—
257C3×C4×C5C4×D414yes—
258C3×Dic5—24no—
259C3×Dic5—24no—
260C3×Dic5—42no—
261C3×Dic5—42no—
262C24×C3C22×D511yescharacteristic
263C24×C3C22×D511yescharacteristic
264C2×C3×D4—24no—
265C2×C3×D4C2×Dic514yes—
266C22×C3×C4—22no—
267C22×C3×C4—22no—
268C22×C3×C4—22no—
269C22×C3×C4—22no—
270C22×C3×C4—52no—
271C22×C3×C4—52no—
272C22×C3×C4—52no—
273C22×C3×C4—52no—
274C22×C3×C4—104no—
275C22×C3×C4—104no—
276C22×C3×C4—104no—
277C22×C3×C4C2×Dic514yes—
278C22×C3×C4C2×Dic514yescomplemented
279C22×C3×C4C22×D511yescharacteristic
280C22×C3×C4C22×D511yescharacteristic
281C22×C3×C4C22×D511yescharacteristic
282C22×C3×C4C22×D511yescharacteristic
283C22×C3×C4C22×D511yescharacteristic
284C3×C4⋊C4—104no—
285C3×C4⋊C4—104no—
286C3×C4⋊C4C2×Dic514yescomplemented
287C3×C22⋊C4—104no—
288C3×C22⋊C4—104no—
289C3×C22⋊C4—104no—
290C3×C22⋊C4C2×Dic514yes—
291C3×C22⋊C4C2×Dic514yescomplemented
292C3×C42—54no—
293C3×C42—104no—
294C3×C42—102no—
295C3×C42—102no—
296C3×C42—102no—
297C3×C42C2×Dic514yescomplemented
298C23×C5—21no—
299C23×C5—22no—
300C23×C5—21no—
301C23×C5—21no—
302C23×C5—22no—
303C23×C5—21no—
304C23×C5—22no—
305C23×C5C22×C3×C412yes—
306C23×C5C22×C3×C412yes—
307C23×C5C3×#4114yes—
308C23×C5C24×C311yescharacteristic
309C5×D4—28no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
313C2×C4×C5—21no—
314C2×C4×C5—21no—
315C2×C4×C5—22no—
316C2×C4×C5—28no—
317C2×C4×C5—28no—
318C2×C4×C5C22×C3×C412yes—
319C2×C4×C5C22×C3×C412yes—
320C2×C4×C5C22×C3×C412yes—
321C2×C4×C5C22×C3×C412yes—
322C2×C4×C5C22×C3×C412yes—
323C2×C4×C5C2×C3×D412yes—
324C2×C4×C5C3×#4112yes—
325C2×Dic5—216no—
326C2×Dic5—22no—
327C2×Dic5—22no—
328C2×Dic5—22no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5—22no—
332C2×Dic5—22no—
333C2×Dic5—22no—
334C2×Dic5—22no—
335C2×Dic5—22no—
336C2×Dic5C2×C3×D414yes—
337C2×Dic5C3×#4114yes—
338C22×D4C2×C3×D511yescharacteristic
339C23×C4—52no—
340C23×C4C2×C3×D511yescharacteristic
341C23×C4C2×C3×D511yescharacteristic
342C4×D4C3×Dic518yescomplemented
343#117—104no—
344C2×C4⋊C4—52no—
345C2×C4⋊C4—52no—
346C2×C4⋊C4C2×C3×D511yescharacteristic
347C2×C22⋊C4—52no—
348C2×C22⋊C4—52no—
349C2×C22⋊C4—52no—
350C2×C22⋊C4C2×C3×D511yescharacteristic
351C2×C22⋊C4C2×C3×D511yescharacteristic
352C2×C42—51no—
353C2×C42—51no—
354C2×C42—51no—
355C2×C42—51no—
356C2×C42—52no—
357C2×C42—104no—
358C2×C42C2×C3×D511yescharacteristic
359#95—52no—
360#95—52no—
361#95—52no—
362#95—52no—
363#95—52no—
364C2×C3×C5—24no—
365C2×C3×C5—42no—
366C2×C3×C5C2×#11711yescharacteristic
367C2×C3×C5C2×C4×D411yescharacteristic
368C2×C3×C5C4×#4111yescharacteristic
369C2×C3×C5#52512yes—
370C2×C3×C5#52912yes—
371C23×C3—21no—
372C23×C3—21no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—22no—
378C23×C3#70914yes—
379C23×C3C22×Dic512yes—
380C23×C3C22×Dic512yes—
381C23×C3C23×D511yescharacteristic
382C3×D4—28no—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—28no—
390C2×C3×C4—28no—
391C2×C3×C4—54no—
392C2×C3×C4—54no—
393C2×C3×C4—1016no—
394C2×C3×C4—102no—
395C2×C3×C4—102no—
396C2×C3×C4—102no—
397C2×C3×C4—102no—
398C2×C3×C4—102no—
399C2×C3×C4—102no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—102no—
403C2×C3×C4—102no—
404C2×C3×C4D4×D512yes—
405C2×C3×C4#71112yes—
406C2×C3×C4C22×Dic512yes—
407C2×C3×C4C22×Dic512yes—
408C2×C3×C4C22×Dic512yes—
409C2×C3×C4C22×Dic512yes—
410C2×C3×C4C22×Dic512yes—
411C22×C5—22no—
412C22×C5—22no—
413C22×C5—24no—
414C22×C5—24no—
415C22×C5—22no—
416C22×C5—22no—
417C22×C5—22no—
418C22×C5—42no—
419C22×C5—42no—
420C22×C5C3×#11714yescomplemented
421C22×C5C23×C3×C411yescharacteristic
422C22×C5C22×C3×D411yescharacteristic
423C22×C5C2×C3×#4112yes—
424C22×C5C2×C3×#4111yescharacteristic
425C22×C5C2×C3×#4112yes—
426C4×C5—22no—
427C4×C5—22no—
428C4×C5—22no—
429C4×C5—22no—
430C4×C5C3×C4×D414yes—
431Dic5—24no—
432Dic5—24no—
433Dic5—42no—
434Dic5—42no—
435C24C22×C3×D511yescharacteristic
436C24C22×C3×D511yescharacteristic
437C2×D4—24no—
438C2×D4C2×C3×Dic514yes—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—52no—
444C22×C4—52no—
445C22×C4—52no—
446C22×C4—52no—
447C22×C4—104no—
448C22×C4—104no—
449C22×C4—104no—
450C22×C4C2×C3×Dic514yes—
451C22×C4C2×C3×Dic514yescomplemented
452C22×C4C22×C3×D511yescharacteristic
453C22×C4C22×C3×D511yescharacteristic
454C22×C4C22×C3×D511yescharacteristic
455C22×C4C22×C3×D511yescharacteristic
456C22×C4C22×C3×D511yescharacteristic
457C4⋊C4—104no—
458C4⋊C4—104no—
459C4⋊C4C2×C3×Dic514yescomplemented
460C22⋊C4—104no—
461C22⋊C4—104no—
462C22⋊C4—104no—
463C22⋊C4C2×C3×Dic514yes—
464C22⋊C4C2×C3×Dic514yescomplemented
465C42—54no—
466C42—104no—
467C42—102no—
468C42—102no—
469C42—102no—
470C42C2×C3×Dic514yescomplemented
471C3×C5#229011yescharacteristic, complemented, Hall
472C22×C3—24no—
473C22×C3—22no—
474C22×C3—24no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—42no—
480C22×C3—42no—
481C22×C3#407214yescomplemented
482C22×C3C2×#70912yes—
483C22×C3C2×D4×D511yescharacteristic
484C22×C3C2×#71111yescharacteristic
485C22×C3D5×#4112yes—
486C22×C3C23×Dic511yescharacteristic
487C3×C4—22no—
488C3×C4—22no—
489C3×C4—22no—
490C3×C4—22no—
491C3×C4—104no—
492C3×C4—104no—
493C3×C4—202no—
494C3×C4—202no—
495C3×C4D4×Dic514yes—
496C2×C5—24no—
497C2×C5—42no—
498C2×C5C2×C3×#11711yescharacteristic
499C2×C5C2×C3×C4×D411yescharacteristic
500C2×C5C3×C4×#4111yescharacteristic
501C2×C5C3×#52512yes—
502C2×C5C3×#52912yes—
503C23—21no—
504C23—21no—
505C23—22no—
506C23—22no—
507C23—21no—
508C23—21no—
509C23—22no—
510C23C3×#70914yes—
511C23C22×C3×Dic512yes—
512C23C22×C3×Dic512yes—
513C23C23×C3×D511yescharacteristic
514D4—28no—
515C2×C4—22no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—22no—
521C2×C4—28no—
522C2×C4—28no—
523C2×C4—54no—
524C2×C4—54no—
525C2×C4—1016no—
526C2×C4—102no—
527C2×C4—102no—
528C2×C4—102no—
529C2×C4—102no—
530C2×C4—102no—
531C2×C4—102no—
532C2×C4—102no—
533C2×C4—102no—
534C2×C4—102no—
535C2×C4—102no—
536C2×C4C3×D4×D512yes—
537C2×C4C3×#71112yes—
538C2×C4C22×C3×Dic512yes—
539C2×C4C22×C3×Dic512yes—
540C2×C4C22×C3×Dic512yes—
541C2×C4C22×C3×Dic512yes—
542C2×C4C22×C3×Dic512yes—
543C2×C3—24no—
544C2×C3—42no—
545C2×C3#6587212yes—
546C2×C3#6588112yes—
547C2×C3C2×#407211yescharacteristic
548C2×C3C2×D4×Dic511yescharacteristic
549C2×C3#41×Dic511yescharacteristic
550C5C3×#229011yescharacteristic, complemented, Sylow
551C22—24no—
552C22—22no—
553C22—24no—
554C22—22no—
555C22—22no—
556C22—22no—
557C22—22no—
558C22—42no—
559C22—42no—
560C22C3×#407214yescomplemented
561C22C2×C3×#70912yes—
562C22C2×C3×D4×D511yescharacteristic
563C22C2×C3×#71111yescharacteristic
564C22C3×D5×#4112yes—
565C22C23×C3×Dic511yescharacteristic
566C4—22no—
567C4—22no—
568C4—22no—
569C4—22no—
570C4—104no—
571C4—104no—
572C4—202no—
573C4—202no—
574C4C3×D4×Dic514yes—
575C3#1061404911yescharacteristic, direct product factor, Sylow
576C2—24no—
577C2—42no—
578C2C3×#6587212yes—
579C2C3×#6588112yes—
580C2C2×C3×#407211yescharacteristic
581C2C2×C3×D4×Dic511yescharacteristic
582C2C3×#41×Dic511yescharacteristic
subgroupG/H
centerC22×C3×C4C22×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC2×C3×C4×C5×D4C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C5C24×C3
hypercenterC2×C3×C4×D4D5
hypocenterC5C3×#2290
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3×C4 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4072C2semidirect
3. C22×C3×C4×Dic5C2semidirect
5. C3×C4×C22⋊Dic5C2semidirect
6. C3×C4×C22⋊Dic5C2semidirect
7. C3×#65270C2semidirect
8. C3×#65240C2semidirect
9. C3×#65239C2semidirect
10. C3×C4×C4⋊Dic5C2semidirect
11. C3×#65221C2semidirect
12. #10614049C3direct (N × H)
17. C3×C4×C5×D4C4semidirect
41. C2×#4072C2×C3semidirect
42. C22×C4×Dic5C2×C3semidirect
44. C4×C22⋊Dic5C2×C3semidirect
45. C4×C22⋊Dic5C2×C3semidirect
46. #65270C2×C3semidirect
47. #65240C2×C3semidirect
48. #65239C2×C3semidirect
49. C4×C4⋊Dic5C2×C3semidirect
50. #65221C2×C3semidirect
60. C22×C3×C4×C5C2×C4semidirect
73. C3×C5×C4⋊C4C2×C4semidirect
75. C3×C5×C22⋊C4C2×C4semidirect
76. C3×C42×C5C2×C4semidirect
86. C3×C4×Dic5D4semidirect
102. C4×C5×D4C3×C4semidirect
169. C3×C4×D4Dic5semidirect
200. C22×C4×C5C2×C3×C4semidirect
213. C5×C4⋊C4C2×C3×C4semidirect
215. C5×C22⋊C4C2×C3×C4semidirect
216. C42×C5C2×C3×C4semidirect
226. C4×Dic5C3×D4semidirect
247. C22×C3×C5#117semidirect
278. C22×C3×C4C2×Dic5semidirect
286. C3×C4⋊C4C2×Dic5semidirect
291. C3×C22⋊C4C2×Dic5semidirect
297. C3×C42C2×Dic5semidirect
342. C4×D4C3×Dic5semidirect
420. C22×C5C3×#117semidirect
451. C22×C4C2×C3×Dic5semidirect
459. C4⋊C4C2×C3×Dic5semidirect
464. C22⋊C4C2×C3×Dic5semidirect
470. C42C2×C3×Dic5semidirect
471. C3×C5#2290semidirect
481. C22×C3#4072semidirect
550. C5C3×#2290semidirect
560. C22C3×#4072semidirect
575. C3#10614049direct (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×#40722
C22×C3×C4×Dic52
C3×#655092
C3×C4×C22⋊Dic52
C3×#652702
C3×#652402
C3×#652392
C3×C4×C4⋊Dic52
C3×#652212
#106140493
C3×#22905