Finite Group Databasebeta

← C2×C5×#4945 #14320453

Subgroups — C2×C5×#4945 #14320453

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C5×C22⋊C4C211yesmaximal, characteristic
2C22×C5×#217C211yesmaximal, characteristic
3C22×C5×#217C211yesmaximal, characteristic
4C22×C5×Dic3⋊C4C211yesmaximal, characteristic, complemented
5C22×C4×C5×Dic3C211yesmaximal, characteristic, complemented
6C2×C5×C3⋊#95C211yesmaximal, characteristic, complemented
7C2×C5×C3⋊#95C211yesmaximal, characteristic, complemented
8C5×#4945C218yesmaximal, direct product factor
9C2×C5×#388—31nomaximal, Hall
10C25×C3×C5C2211yescharacteristic
11C23×C3×C4×C5C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C23×C5×Dic3C2211yescharacteristic
14C23×C5×Dic3C2211yescharacteristic
15C23×C5×Dic3C2211yescharacteristic
16C23×C5×Dic3C2211yescharacteristic
17C2×C3×C5×C22⋊C4—24no—
18C2×C3×C5×C22⋊C4C2214yes—
19C2×C5×#217—24no—
20C2×C5×#217C418yescomplemented
21C2×C5×#217C2214yes—
22C2×C5×#217C2214yes—
23C2×C5×Dic3⋊C4—24no—
24C2×C5×Dic3⋊C4C2214yescomplemented
25C2×C4×C5×Dic3—24no—
26C2×C4×C5×Dic3C2214yescomplemented
27C5×C3⋊#95C2214yescomplemented
28C5×C3⋊#95C2214yescomplemented
29C2×#4945C511yesmaximal, characteristic, direct product factor, Hall
30C22×C5×C4⋊C4—31no—
31C22×C5×C22⋊C4—31no—
32C22×C5×C22⋊C4—31no—
33C22×C5×C22⋊C4D311yescharacteristic
34C22×C42×C5—31no—
35C5×#388—38no—
36C2×C5×#95—31no—
37C2×C5×#95—31no—
38C24×C3×C5—22no—
39C24×C3×C5—22no—
40C24×C3×C5—22no—
41C24×C3×C5—22no—
42C24×C3×C5—22no—
43C24×C3×C5—22no—
44C24×C3×C5C2×C414yes—
45C24×C3×C5C2312yes—
46C24×C3×C5C2311yescharacteristic
47C22×C3×C4×C5—22no—
48C22×C3×C4×C5—22no—
49C22×C3×C4×C5—22no—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5—22no—
52C22×C3×C4×C5D414yes—
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2312yes—
55C22×C5×Dic3—22no—
56C22×C5×Dic3—22no—
57C22×C5×Dic3—22no—
58C22×C5×Dic3—22no—
59C22×C5×Dic3—22no—
60C22×C5×Dic3—22no—
61C22×C5×Dic3—22no—
62C22×C5×Dic3—22no—
63C22×C5×Dic3—22no—
64C22×C5×Dic3C2×C414yes—
65C22×C5×Dic3C2×C414yes—
66C22×C5×Dic3D414yes—
67C22×C5×Dic3C2312yes—
68C22×C5×Dic3C2312yes—
69C22×C5×Dic3C2312yes—
70C22×C5×Dic3C2312yes—
71C3×C5×C22⋊C4—28no—
72C5×#217—28no—
73C5×#217C2×C4116yescomplemented
74C5×Dic3⋊C4—28no—
75C4×C5×Dic3—28no—
76C22×C3×C22⋊C4C2×C511yescharacteristic
77C22×#217C2×C511yescharacteristic
78C22×#217C2×C511yescharacteristic
79C22×Dic3⋊C4C2×C511yescharacteristic, complemented
80C22×C4×Dic3C2×C511yescharacteristic, complemented
81C2×C3⋊#95C2×C511yescharacteristic, complemented
82C2×C3⋊#95C2×C511yescharacteristic, complemented
83#4945C2×C518yesdirect product factor
84C25×C5C2×D311yescharacteristic
85C23×C4×C5—31no—
86C23×C4×C5—31no—
87C23×C4×C5—31no—
88C23×C4×C5—31no—
89C23×C4×C5C2×D311yescharacteristic
90C23×C4×C5C2×D311yescharacteristic
91C2×C5×C4⋊C4—34no—
92C2×C5×C4⋊C4—64no—
93C2×C5×C22⋊C4—24no—
94C2×C5×C22⋊C4—38no—
95C2×C5×C22⋊C4—34no—
96C2×C5×C22⋊C4—34no—
97C2×C5×C22⋊C4—64no—
98C2×C5×C22⋊C4C2×D314yes—
99C2×C42×C5—34no—
100C2×C42×C5—64no—
101C5×#95—34no—
102C5×#95—34no—
103C2×#388—31noSylow
104C23×C3×C5—28no—
105C23×C3×C5—28no—
106C23×C3×C5—28no—
107C23×C3×C5—22no—
108C23×C3×C5—22no—
109C23×C3×C5—22no—
110C23×C3×C5—22no—
111C23×C3×C5—22no—
112C23×C3×C5—22no—
113C23×C3×C5—44no—
114C23×C3×C5—44no—
115C23×C3×C5—44no—
116C23×C3×C5—44no—
117C23×C3×C5C22×C414yes—
118C23×C3×C5C22×C412yes—
119C23×C3×C5C2×D412yes—
120C23×C3×C5C2×D412yes—
121C23×C3×C5#4112yes—
122C23×C3×C5#4112yes—
123C23×C3×C5#4112yes—
124C23×C3×C5#4112yes—
125C23×C3×C5C2411yescharacteristic
126C2×C3×C4×C5—28no—
127C2×C3×C4×C5—22no—
128C2×C3×C4×C5—22no—
129C2×C3×C4×C5—22no—
130C2×C3×C4×C5—22no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—44no—
133C2×C3×C4×C5C2×D414yes—
134C2×C5×Dic3—28no—
135C2×C5×Dic3—28no—
136C2×C5×Dic3—28no—
137C2×C5×Dic3—22no—
138C2×C5×Dic3—22no—
139C2×C5×Dic3—22no—
140C2×C5×Dic3—22no—
141C2×C5×Dic3—22no—
142C2×C5×Dic3—22no—
143C2×C5×Dic3—22no—
144C2×C5×Dic3—22no—
145C2×C5×Dic3—22no—
146C2×C5×Dic3—44no—
147C2×C5×Dic3C22×C414yes—
148C2×C5×Dic3C22×C414yes—
149C2×C5×Dic3C2×D414yes—
150C25×C3C22×C511yescharacteristic
151C23×C3×C4C22×C511yescharacteristic
152C23×C3×C4C22×C511yescharacteristic
153C23×Dic3C22×C511yescharacteristic
154C23×Dic3C22×C511yescharacteristic
155C23×Dic3C22×C511yescharacteristic
156C23×Dic3C22×C511yescharacteristic
157C2×C3×C22⋊C4—24no—
158C2×C3×C22⋊C4C22×C514yes—
159C2×#217—24no—
160C2×#217C4×C518yescomplemented
161C2×#217C22×C514yes—
162C2×#217C22×C514yes—
163C2×Dic3⋊C4—24no—
164C2×Dic3⋊C4C22×C514yescomplemented
165C2×C4×Dic3—24no—
166C2×C4×Dic3C22×C514yescomplemented
167C3⋊#95C22×C514yescomplemented
168C3⋊#95C22×C514yescomplemented
169C24×C5—22no—
170C24×C5—22no—
171C24×C5—22no—
172C24×C5—22no—
173C24×C5—22no—
174C24×C5—22no—
175C24×C5C4×D314yes—
176C24×C5C22×D312yes—
177C24×C5C22×D311yescharacteristic
178C22×C4×C5—22no—
179C22×C4×C5—22no—
180C22×C4×C5—22no—
181C22×C4×C5—22no—
182C22×C4×C5—22no—
183C22×C4×C5—34no—
184C22×C4×C5—34no—
185C22×C4×C5—34no—
186C22×C4×C5—32no—
187C22×C4×C5—32no—
188C22×C4×C5—32no—
189C22×C4×C5—32no—
190C22×C4×C5—62no—
191C22×C4×C5—62no—
192C22×C4×C5—62no—
193C22×C4×C5—62no—
194C22×C4×C5—62no—
195C22×C4×C5—62no—
196C22×C4×C5—62no—
197C22×C4×C5—62no—
198C22×C4×C5—62no—
199C22×C4×C5#6714yes—
200C22×C4×C5C22×D312yes—
201C22×C4×C5C22×D312yes—
202C5×C4⋊C4—68no—
203C5×C22⋊C4—28no—
204C5×C22⋊C4—316no—
205C5×C22⋊C4—68no—
206C42×C5—68no—
207C22×C4⋊C4—31no—
208C22×C22⋊C4—31no—
209C22×C22⋊C4—31no—
210C22×C22⋊C4C5×D311yescharacteristic
211C22×C42—31no—
212#388—38no—
213C2×#95—31no—
214C2×#95—31no—
215C22×C3×C5—24no—
216C22×C3×C5—24no—
217C22×C3×C5—24no—
218C22×C3×C5—42no—
219C22×C3×C5—42no—
220C22×C3×C5—42no—
221C22×C3×C5—42no—
222C22×C3×C5—416no—
223C22×C3×C5#11714yes—
224C22×C3×C5C4×D414yes—
225C22×C3×C5C4×D414yes—
226C22×C3×C5#12114yes—
227C22×C3×C5#12314yes—
228C22×C3×C5#12414yes—
229C22×C3×C5#12614yes—
230C22×C3×C5C23×C411yescharacteristic
231C22×C3×C5C22×D411yescharacteristic
232C22×C3×C5C22×D411yescharacteristic
233C22×C3×C5C2×#4111yescharacteristic
234C22×C3×C5C2×#4111yescharacteristic
235C22×C3×C5C2×#4111yescharacteristic
236C22×C3×C5C2×#4111yescharacteristic
237C3×C4×C5—24no—
238C3×C4×C5—42no—
239C5×Dic3—24no—
240C5×Dic3—24no—
241C5×Dic3—24no—
242C5×Dic3—42no—
243C24×C3—22no—
244C24×C3—22no—
245C24×C3—22no—
246C24×C3—22no—
247C24×C3—22no—
248C24×C3—22no—
249C24×C3C2×C4×C514yes—
250C24×C3C23×C512yes—
251C24×C3C23×C511yescharacteristic
252C22×C3×C4—22no—
253C22×C3×C4—22no—
254C22×C3×C4—22no—
255C22×C3×C4—22no—
256C22×C3×C4—22no—
257C22×C3×C4C5×D414yes—
258C22×C3×C4C23×C512yes—
259C22×C3×C4C23×C512yes—
260C22×Dic3—22no—
261C22×Dic3—22no—
262C22×Dic3—22no—
263C22×Dic3—22no—
264C22×Dic3—22no—
265C22×Dic3—22no—
266C22×Dic3—22no—
267C22×Dic3—22no—
268C22×Dic3—22no—
269C22×Dic3C2×C4×C514yes—
270C22×Dic3C2×C4×C514yes—
271C22×Dic3C5×D414yes—
272C22×Dic3C23×C512yes—
273C22×Dic3C23×C512yes—
274C22×Dic3C23×C512yes—
275C22×Dic3C23×C512yes—
276C3×C22⋊C4—28no—
277#217—28no—
278#217C2×C4×C5116yescomplemented
279Dic3⋊C4—28no—
280C4×Dic3—28no—
281C23×C5—28no—
282C23×C5—28no—
283C23×C5—28no—
284C23×C5—22no—
285C23×C5—22no—
286C23×C5—22no—
287C23×C5—22no—
288C23×C5—22no—
289C23×C5—22no—
290C23×C5—44no—
291C23×C5—44no—
292C23×C5—44no—
293C23×C5—44no—
294C23×C5C2×C4×D314yes—
295C23×C5C2×C4×D312yes—
296C23×C5#23512yes—
297C23×C5D3×D412yes—
298C23×C5#23712yes—
299C23×C5#23712yes—
300C23×C5#23712yes—
301C23×C5C2×#6712yes—
302C23×C5C23×D311yescharacteristic
303C2×C4×C5—28no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—22no—
309C2×C4×C5—34no—
310C2×C4×C5—34no—
311C2×C4×C5—34no—
312C2×C4×C5—44no—
313C2×C4×C5—68no—
314C2×C4×C5—68no—
315C2×C4×C5—68no—
316C2×C4×C5—62no—
317C2×C4×C5—62no—
318C2×C4×C5—62no—
319C2×C4×C5—62no—
320C2×C4×C5—62no—
321C2×C4×C5—62no—
322C2×C4×C5—62no—
323C2×C4×C5—62no—
324C2×C4×C5—62no—
325C2×C4×C5—124no—
326C2×C4×C5C2×#6714yes—
327C25C2×C5×D311yescharacteristic
328C23×C4—31no—
329C23×C4—31no—
330C23×C4—31no—
331C23×C4—31no—
332C23×C4C2×C5×D311yescharacteristic
333C23×C4C2×C5×D311yescharacteristic
334C2×C4⋊C4—34no—
335C2×C4⋊C4—64no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—38no—
338C2×C22⋊C4—34no—
339C2×C22⋊C4—34no—
340C2×C22⋊C4—64no—
341C2×C22⋊C4C2×C5×D314yes—
342C2×C42—34no—
343C2×C42—64no—
344#95—34no—
345#95—34no—
346C2×C3×C5—44no—
347C2×C3×C5#38818yescomplemented
348C2×C3×C5C2×#11711yescharacteristic
349C2×C3×C5C2×C4×D411yescharacteristic
350C2×C3×C5C2×C4×D411yescharacteristic
351C2×C3×C5C2×#12111yescharacteristic
352C2×C3×C5C2×#12311yescharacteristic
353C2×C3×C5C2×#12411yescharacteristic
354C2×C3×C5C2×#12611yescharacteristic
355C23×C3—28no—
356C23×C3—28no—
357C23×C3—28no—
358C23×C3—22no—
359C23×C3—22no—
360C23×C3—22no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—44no—
365C23×C3—44no—
366C23×C3—44no—
367C23×C3—44no—
368C23×C3C22×C4×C514yes—
369C23×C3C22×C4×C512yes—
370C23×C3C2×C5×D412yes—
371C23×C3C2×C5×D412yes—
372C23×C3C5×#4112yes—
373C23×C3C5×#4112yes—
374C23×C3C5×#4112yes—
375C23×C3C5×#4112yes—
376C23×C3C24×C511yescharacteristic
377C2×C3×C4—28no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—44no—
384C2×C3×C4C2×C5×D414yes—
385C2×Dic3—28no—
386C2×Dic3—28no—
387C2×Dic3—28no—
388C2×Dic3—22no—
389C2×Dic3—22no—
390C2×Dic3—22no—
391C2×Dic3—22no—
392C2×Dic3—22no—
393C2×Dic3—22no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—22no—
397C2×Dic3—44no—
398C2×Dic3C22×C4×C514yes—
399C2×Dic3C22×C4×C514yes—
400C2×Dic3C2×C5×D414yes—
401C22×C5—24no—
402C22×C5—24no—
403C22×C5—24no—
404C22×C5—416no—
405C22×C5—42no—
406C22×C5—42no—
407C22×C5—42no—
408C22×C5—42no—
409C22×C5#87714yes—
410C22×C5#87914yes—
411C22×C5#67⋊C414yes—
412C22×C5#88314yes—
413C22×C5C4×#6714yes—
414C22×C5#93614yes—
415C22×C5#93914yes—
416C22×C5C22×C4×D311yescharacteristic
417C22×C5C2×#23511yescharacteristic
418C22×C5C2×D3×D411yescharacteristic
419C22×C5C2×#23711yescharacteristic
420C22×C5C2×#23711yescharacteristic
421C22×C5C2×#23711yescharacteristic
422C22×C5C22×#6711yescharacteristic
423C4×C5—24no—
424C4×C5—42no—
425C4×C5—64no—
426C4×C5—64no—
427C4×C5—64no—
428C4×C5—122no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—22no—
434C24—22no—
435C24C4×C5×D314yes—
436C24C22×C5×D312yes—
437C24C22×C5×D311yescharacteristic
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—34no—
444C22×C4—34no—
445C22×C4—34no—
446C22×C4—32no—
447C22×C4—32no—
448C22×C4—32no—
449C22×C4—32no—
450C22×C4—62no—
451C22×C4—62no—
452C22×C4—62no—
453C22×C4—62no—
454C22×C4—62no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4C5×#6714yes—
460C22×C4C22×C5×D312yes—
461C22×C4C22×C5×D312yes—
462C4⋊C4—68no—
463C22⋊C4—28no—
464C22⋊C4—316no—
465C22⋊C4—68no—
466C42—68no—
467C3×C5C2×#38811yescharacteristic, complemented, Hall
468C22×C3—24no—
469C22×C3—24no—
470C22×C3—24no—
471C22×C3—416no—
472C22×C3—42no—
473C22×C3—42no—
474C22×C3—42no—
475C22×C3—42no—
476C22×C3C5×#11714yes—
477C22×C3C4×C5×D414yes—
478C22×C3C4×C5×D414yes—
479C22×C3C5×#12114yes—
480C22×C3C5×#12314yes—
481C22×C3C5×#12414yes—
482C22×C3C5×#12614yes—
483C22×C3C23×C4×C511yescharacteristic
484C22×C3C22×C5×D411yescharacteristic
485C22×C3C22×C5×D411yescharacteristic
486C22×C3C2×C5×#4111yescharacteristic
487C22×C3C2×C5×#4111yescharacteristic
488C22×C3C2×C5×#4111yescharacteristic
489C22×C3C2×C5×#4111yescharacteristic
490C3×C4—24no—
491C3×C4—42no—
492Dic3—24no—
493Dic3—24no—
494Dic3—24no—
495Dic3—42no—
496C2×C5—44no—
497C2×C5#494518yesdirect product factor
498C2×C5C2×#87711yescharacteristic
499C2×C5C2×#87911yescharacteristic
500C2×C5C2×#67⋊C411yescharacteristic
501C2×C5C2×#88311yescharacteristic
502C2×C5C2×C4×#6711yescharacteristic
503C2×C5C2×#93611yescharacteristic
504C2×C5C2×#93911yescharacteristic
505C23—28no—
506C23—28no—
507C23—28no—
508C23—22no—
509C23—22no—
510C23—22no—
511C23—22no—
512C23—22no—
513C23—22no—
514C23—44no—
515C23—44no—
516C23—44no—
517C23—44no—
518C23C2×C4×C5×D314yes—
519C23C2×C4×C5×D312yes—
520C23C5×#23512yes—
521C23C5×D3×D412yes—
522C23C5×#23712yes—
523C23C5×#23712yes—
524C23C5×#23712yes—
525C23C2×C5×#6712yes—
526C23C23×C5×D311yescharacteristic
527C2×C4—28no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—34no—
534C2×C4—34no—
535C2×C4—34no—
536C2×C4—44no—
537C2×C4—68no—
538C2×C4—68no—
539C2×C4—68no—
540C2×C4—62no—
541C2×C4—62no—
542C2×C4—62no—
543C2×C4—62no—
544C2×C4—62no—
545C2×C4—62no—
546C2×C4—62no—
547C2×C4—62no—
548C2×C4—62no—
549C2×C4—124no—
550C2×C4C2×C5×#6714yes—
551C2×C3—44no—
552C2×C3C5×#38818yescomplemented
553C2×C3C2×C5×#11711yescharacteristic
554C2×C3C2×C4×C5×D411yescharacteristic
555C2×C3C2×C4×C5×D411yescharacteristic
556C2×C3C2×C5×#12111yescharacteristic
557C2×C3C2×C5×#12311yescharacteristic
558C2×C3C2×C5×#12411yescharacteristic
559C2×C3C2×C5×#12611yescharacteristic
560C5C2×#494511yescharacteristic, direct product factor, Sylow
561C22—24no—
562C22—24no—
563C22—24no—
564C22—416no—
565C22—42no—
566C22—42no—
567C22—42no—
568C22—42no—
569C22C5×#87714yes—
570C22C5×#87914yes—
571C22C5×#67⋊C414yes—
572C22C5×#88314yes—
573C22C4×C5×#6714yes—
574C22C5×#93614yes—
575C22C5×#93914yes—
576C22C22×C4×C5×D311yescharacteristic
577C22C2×C5×#23511yescharacteristic
578C22C2×C5×D3×D411yescharacteristic
579C22C2×C5×#23711yescharacteristic
580C22C2×C5×#23711yescharacteristic
581C22C2×C5×#23711yescharacteristic
582C22C22×C5×#6711yescharacteristic
583C4—24no—
584C4—42no—
585C4—64no—
586C4—64no—
587C4—64no—
588C4—122no—
589C3C2×C5×#38811yescharacteristic, complemented, Sylow
590C2—44no—
591C2C5×#494518yesdirect product factor
592C2C2×C5×#87711yescharacteristic
593C2C2×C5×#87911yescharacteristic
594C2C2×C5×#67⋊C411yescharacteristic
595C2C2×C5×#88311yescharacteristic
596C2C2×C4×C5×#6711yescharacteristic
597C2C2×C5×#93611yescharacteristic
598C2C2×C5×#93911yescharacteristic
subgroupG/H
centerC24×C5C22×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
FittingC22×C3×C5×C22⋊C4C2
socleC24×C3×C5C23
prime radicalC25×C3×C5C22
cosocleC23×C3C24×C5
hypercenterC22×C5×C22⋊C4D3
hypocenterC3C2×C5×#388
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C24×C5 ◁ C22×C5×C22⋊C4

Complements

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

NH ≅ G/Ntype
4. C22×C5×Dic3⋊C4C2semidirect
5. C22×C4×C5×Dic3C2semidirect
6. C2×C5×C3⋊#95C2semidirect
7. C2×C5×C3⋊#95C2semidirect
8. C5×#4945C2direct (N × H)
20. C2×C5×#217C4semidirect
24. C2×C5×Dic3⋊C4C22semidirect
26. C2×C4×C5×Dic3C22semidirect
27. C5×C3⋊#95C22semidirect
28. C5×C3⋊#95C22semidirect
29. C2×#4945C5direct (N × H)
73. C5×#217C2×C4semidirect
79. C22×Dic3⋊C4C2×C5semidirect
80. C22×C4×Dic3C2×C5semidirect
81. C2×C3⋊#95C2×C5semidirect
82. C2×C3⋊#95C2×C5semidirect
83. #4945C2×C5direct (N × H)
160. C2×#217C4×C5semidirect
164. C2×Dic3⋊C4C22×C5semidirect
166. C2×C4×Dic3C22×C5semidirect
167. C3⋊#95C22×C5semidirect
168. C3⋊#95C22×C5semidirect
278. #217C2×C4×C5semidirect
347. C2×C3×C5#388semidirect
467. C3×C5C2×#388semidirect
497. C2×C5#4945direct (N × H)
552. C2×C3C5×#388semidirect
560. C5C2×#4945direct (N × H)
589. C3C2×C5×#388semidirect
591. C2C5×#4945direct (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×C22⋊C42
C22×C5×#2172
C22×C5×Dic3⋊C42
C22×C4×C5×Dic32
C2×C5×C3⋊#952
C5×#49452
C2×C5×#3883
C2×#49455