Finite Group Databasebeta

← C5×#14766 #11937486

Subgroups — C5×#14766 #11937486

Order 1280.

1938 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#398C211yesmaximal, characteristic, complemented
2C2×C5×#385C211yesmaximal, characteristic
3C2×C5×#380C211yesmaximal, characteristic
4C2×C5×#380C212yesmaximal
5C22×C5×#95C211yesmaximal, characteristic
6C5×#1445C211yesmaximal, characteristic, complemented
7C5×#1444C211yesmaximal, characteristic, complemented
8C5×#1442C212yesmaximal, complemented
9C5×#1441C212yesmaximal, complemented
10C5×#1441C211yesmaximal, characteristic, complemented
11C5×C22⋊#95C212yesmaximal
12C24×C4×C5C2211yescharacteristic
13C24×C4×C5C2212yes—
14C22×C5×C4⋊C4C2211yescharacteristic
15C22×C5×C4⋊C4C2211yescharacteristic
16C22×C5×C4⋊C4C2212yes—
17C22×C5×C4⋊C4C2212yes—
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2212yes—
21C22×C5×C22⋊C4C2211yescharacteristic
22C22×C5×C22⋊C4C2211yescharacteristic
23C5×#398—24no—
24C5×#385—24no—
25C5×#380—24no—
26C5×#380—28no—
27C2×C5×#95—24no—
28C2×C5×#95C2212yes—
29C2×C5×#95C2211yescharacteristic
30C2×C5×#95C2212yes—
31C2×C5×#95C2212yes—
32C2×C5×#95C2212yes—
33C2×C5×#95C2211yescharacteristic
34C2×C5×#95C2211yescharacteristic
35C2×C5×#95C2212yes—
36C2×C5×#95C2212yes—
37C2×C5×#95C2212yes—
38C2×C5×#95C2212yes—
39C2×C5×#95C2211yescharacteristic
40#14766C511yesmaximal, characteristic, direct product factor, Sylow
41C25×C5C2311yescharacteristic
42C23×C4×C5—24no—
43C23×C4×C5—24no—
44C23×C4×C5—24no—
45C23×C4×C5—22no—
46C23×C4×C5—24no—
47C23×C4×C5—22no—
48C23×C4×C5—24no—
49C23×C4×C5—42no—
50C23×C4×C5—42no—
51C23×C4×C5—42no—
52C23×C4×C5D414yes—
53C23×C4×C5Q818yes—
54C23×C4×C5C2311yescharacteristic
55C23×C4×C5C2311yescharacteristic
56C23×C4×C5C2312yes—
57C23×C4×C5C2312yes—
58C23×C4×C5C2311yescharacteristic
59C23×C4×C5C2311yescharacteristic
60C23×C4×C5C2311yescharacteristic
61C23×C4×C5C2312yes—
62C23×C4×C5C2311yescharacteristic
63C23×C4×C5C2312yes—
64C2×C5×C4⋊C4—24no—
65C2×C5×C4⋊C4—24no—
66C2×C5×C4⋊C4—22no—
67C2×C5×C4⋊C4—22no—
68C2×C5×C4⋊C4—22no—
69C2×C5×C4⋊C4—22no—
70C2×C5×C4⋊C4—24no—
71C2×C5×C4⋊C4—22no—
72C2×C5×C4⋊C4—22no—
73C2×C5×C4⋊C4—24no—
74C2×C5×C4⋊C4—22no—
75C2×C5×C4⋊C4—22no—
76C2×C5×C4⋊C4—42no—
77C2×C5×C4⋊C4—42no—
78C2×C5×C4⋊C4—42no—
79C2×C5×C4⋊C4—42no—
80C2×C5×C22⋊C4—22no—
81C2×C5×C22⋊C4—22no—
82C2×C5×C22⋊C4—24no—
83C2×C5×C22⋊C4—24no—
84C2×C5×C22⋊C4—22no—
85C2×C5×C22⋊C4—24no—
86C2×C5×C22⋊C4—24no—
87C2×C5×C22⋊C4D414yes—
88C5×#95—22no—
89C5×#95—24no—
90C5×#95—24no—
91C5×#95—24no—
92C5×#95—24no—
93C5×#95—22no—
94C5×#95—22no—
95C5×#95—24no—
96C5×#95—24no—
97C5×#95—42no—
98C5×#95—42no—
99C5×#95D414yes—
100C2×#398C2×C511yescharacteristic, complemented
101C2×#385C2×C511yescharacteristic
102C2×#380C2×C511yescharacteristic
103C2×#380C2×C512yes—
104C22×#95C2×C511yescharacteristic
105#1445C2×C511yescharacteristic, complemented
106#1444C2×C511yescharacteristic, complemented
107#1442C2×C512yescomplemented
108#1441C2×C511yescharacteristic, complemented
109#1441C2×C512yescomplemented
110C22⋊#95C2×C512yes—
111C24×C5—21no—
112C24×C5—21no—
113C24×C5—22no—
114C24×C5—22no—
115C24×C5—21no—
116C24×C5—21no—
117C24×C5C2×D412yes—
118C24×C5C2×D412yes—
119C24×C5C2×Q814yes—
120C24×C5#4112yes—
121C24×C5#4114yes—
122C24×C5C2411yescharacteristic
123C22×C4×C5—22no—
124C22×C4×C5—22no—
125C22×C4×C5—22no—
126C22×C4×C5—22no—
127C22×C4×C5—22no—
128C22×C4×C5—22no—
129C22×C4×C5—216no—
130C22×C4×C5—28no—
131C22×C4×C5—21no—
132C22×C4×C5—21no—
133C22×C4×C5—21no—
134C22×C4×C5—21no—
135C22×C4×C5—22no—
136C22×C4×C5—22no—
137C22×C4×C5—21no—
138C22×C4×C5—21no—
139C22×C4×C5—22no—
140C22×C4×C5—21no—
141C22×C4×C5—21no—
142C22×C4×C5—22no—
143C22×C4×C5—22no—
144C22×C4×C5—22no—
145C22×C4×C5—21no—
146C22×C4×C5—22no—
147C22×C4×C5—22no—
148C22×C4×C5—22no—
149C22×C4×C5—22no—
150C22×C4×C5—21no—
151C22×C4×C5—28no—
152C22×C4×C5—216no—
153C22×C4×C5—21no—
154C22×C4×C5—22no—
155C22×C4×C5—22no—
156C22×C4×C5—22no—
157C22×C4×C5—22no—
158C22×C4×C5—21no—
159C22×C4×C5—22no—
160C22×C4×C5—21no—
161C22×C4×C5—22no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5—21no—
167C22×C4×C5—22no—
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—22no—
171C22×C4×C5—22no—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—21no—
175C22×C4×C5—22no—
176C22×C4×C5—21no—
177C22×C4×C5—44no—
178C22×C4×C5—48no—
179C22×C4×C5—48no—
180C22×C4×C5—48no—
181C22×C4×C5—48no—
182C22×C4×C5—48no—
183C22×C4×C5—48no—
184C22×C4×C5—48no—
185C22×C4×C5C2×D412yes—
186C22×C4×C5C2×D412yes—
187C22×C4×C5C2×D412yes—
188C22×C4×C5C2×D412yes—
189C22×C4×C5C2×D412yes—
190C22×C4×C5C2×D414yes—
191C22×C4×C5C2×Q814yes—
192C22×C4×C5C2×Q814yes—
193C22×C4×C5#4112yes—
194C22×C4×C5#4114yes—
195C5×C4⋊C4—48no—
196C5×C4⋊C4—48no—
197C5×C4⋊C4—44no—
198C5×C4⋊C4—44no—
199C5×C4⋊C4—44no—
200C5×C4⋊C4—44no—
201C5×C22⋊C4—28no—
202C5×C22⋊C4—48no—
203C5×C22⋊C4—44no—
204C24×C4C22×C511yescharacteristic
205C24×C4C22×C512yes—
206C22×C4⋊C4C22×C511yescharacteristic
207C22×C4⋊C4C22×C511yescharacteristic
208C22×C4⋊C4C22×C512yes—
209C22×C4⋊C4C22×C512yes—
210C22×C4⋊C4C22×C511yescharacteristic
211C22×C4⋊C4C22×C511yescharacteristic
212C22×C22⋊C4C22×C511yescharacteristic
213C22×C22⋊C4C22×C512yes—
214C22×C22⋊C4C22×C511yescharacteristic
215#398—24no—
216#385—24no—
217#380—24no—
218#380—28no—
219C2×#95—24no—
220C2×#95C22×C512yes—
221C2×#95C22×C512yes—
222C2×#95C22×C512yes—
223C2×#95C22×C512yes—
224C2×#95C22×C512yes—
225C2×#95C22×C511yescharacteristic
226C2×#95C22×C512yes—
227C2×#95C22×C511yescharacteristic
228C2×#95C22×C511yescharacteristic
229C2×#95C22×C512yes—
230C2×#95C22×C512yes—
231C2×#95C22×C511yescharacteristic
232C23×C5—22no—
233C23×C5—24no—
234C23×C5—22no—
235C23×C5—24no—
236C23×C5—22no—
237C23×C5—22no—
238C23×C5—24no—
239C23×C5—24no—
240C23×C5—22no—
241C23×C5—24no—
242C23×C5—24no—
243C23×C5—22no—
244C23×C5—22no—
245C23×C5—24no—
246C23×C5—24no—
247C23×C5—24no—
248C23×C5—22no—
249C23×C5—24no—
250C23×C5#12114yes—
251C23×C5C22⋊Q818yes—
252C23×C5#12314yes—
253C23×C5#12518yes—
254C23×C5C4⋊Q814yes—
255C23×C5C22×D411yescharacteristic
256C23×C5C22×D411yescharacteristic
257C23×C5C22×D411yescharacteristic
258C23×C5C22×Q812yes—
259C23×C5C2×#4111yescharacteristic
260C23×C5C2×#4111yescharacteristic
261C23×C5C2×#4112yes—
262C23×C5C2×#4112yes—
263C23×C5H(5,𝔽2)12yes—
264C23×C5H(5,𝔽2)11yescharacteristic
265C23×C52−1+411yescharacteristic
266C2×C4×C5—24no—
267C2×C4×C5—22no—
268C2×C4×C5—22no—
269C2×C4×C5—24no—
270C2×C4×C5—24no—
271C2×C4×C5—24no—
272C2×C4×C5—24no—
273C2×C4×C5—24no—
274C2×C4×C5—24no—
275C2×C4×C5—24no—
276C2×C4×C5—22no—
277C2×C4×C5—22no—
278C2×C4×C5—22no—
279C2×C4×C5—24no—
280C2×C4×C5—24no—
281C2×C4×C5—22no—
282C2×C4×C5—22no—
283C2×C4×C5—24no—
284C2×C4×C5—22no—
285C2×C4×C5—24no—
286C2×C4×C5—22no—
287C2×C4×C5—416no—
288C2×C4×C5—432no—
289C2×C4×C5—41no—
290C2×C4×C5—41no—
291C2×C4×C5—41no—
292C2×C4×C5—41no—
293C2×C4×C5—42no—
294C2×C4×C5—42no—
295C2×C4×C5—42no—
296C2×C4×C5—42no—
297C2×C4×C5—41no—
298C2×C4×C5—42no—
299C2×C4×C5—42no—
300C2×C4×C5—41no—
301C2×C4×C5—42no—
302C2×C4×C5—42no—
303C2×C4×C5—42no—
304C2×C4×C5—41no—
305C2×C4×C5—42no—
306C2×C4×C5—41no—
307C2×C4×C5—41no—
308C2×C4×C5—41no—
309C2×C4×C5—42no—
310C2×C4×C5—41no—
311C2×C4×C5—42no—
312C2×C4×C5—42no—
313C2×C4×C5—41no—
314C2×C4×C5—42no—
315C2×C4×C5—42no—
316C2×C4×C5—42no—
317C2×C4×C5—42no—
318C2×C4×C5—42no—
319C2×C4×C5—42no—
320C2×C4×C5—42no—
321C2×C4×C5—42no—
322C2×C4×C5—42no—
323C2×C4×C5—42no—
324C2×C4×C5—42no—
325C2×C4×C5—42no—
326C2×C4×C5#12114yes—
327C2×C4×C5C22⋊Q818yes—
328C25C23×C511yescharacteristic
329C23×C4—24no—
330C23×C4—24no—
331C23×C4—24no—
332C23×C4—22no—
333C23×C4—24no—
334C23×C4—22no—
335C23×C4—24no—
336C23×C4—42no—
337C23×C4—42no—
338C23×C4—42no—
339C23×C4C5×D414yes—
340C23×C4C5×Q818yes—
341C23×C4C23×C511yescharacteristic
342C23×C4C23×C512yes—
343C23×C4C23×C512yes—
344C23×C4C23×C511yescharacteristic
345C23×C4C23×C511yescharacteristic
346C23×C4C23×C511yescharacteristic
347C23×C4C23×C511yescharacteristic
348C23×C4C23×C512yes—
349C23×C4C23×C511yescharacteristic
350C23×C4C23×C512yes—
351C2×C4⋊C4—24no—
352C2×C4⋊C4—24no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—42no—
364C2×C4⋊C4—42no—
365C2×C4⋊C4—42no—
366C2×C4⋊C4—42no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4C5×D414yes—
375#95—22no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—22no—
381#95—22no—
382#95—24no—
383#95—24no—
384#95—42no—
385#95—42no—
386#95C5×D414yes—
387C22×C5—28no—
388C22×C5—24no—
389C22×C5—24no—
390C22×C5—24no—
391C22×C5—24no—
392C22×C5—28no—
393C22×C5—28no—
394C22×C5—28no—
395C22×C5—24no—
396C22×C5—24no—
397C22×C5#39818yescomplemented
398C22×C5C2×#12111yescharacteristic
399C22×C5C2×#12111yescharacteristic
400C22×C5C2×C22⋊Q812yes—
401C22×C5C2×C22⋊Q812yes—
402C22×C5C2×#12311yescharacteristic
403C22×C5C2×#12512yes—
404C22×C5C2×C4⋊Q811yescharacteristic
405C22×C5#53211yescharacteristic
406C22×C5#53312yes—
407C22×C5#53411yescharacteristic
408C22×C5#53711yescharacteristic
409C22×C5#54312yes—
410C22×C5#54412yes—
411C22×C5D4211yescharacteristic
412C22×C5#54612yes—
413C22×C5#54612yes—
414C22×C5#54711yescharacteristic
415C22×C5#54811yescharacteristic
416C22×C5#55112yes—
417C22×C5#55112yes—
418C22×C5#55212yes—
419C22×C5#55311yescharacteristic
420C22×C5#55312yes—
421C4×C5—24no—
422C4×C5—28no—
423C4×C5—42no—
424C4×C5—42no—
425C4×C5—44no—
426C4×C5—42no—
427C4×C5—81no—
428C4×C5—82no—
429C4×C5—81no—
430C4×C5—82no—
431C24—21no—
432C24—21no—
433C24—22no—
434C24—22no—
435C24—21no—
436C24—21no—
437C24C2×C5×D412yes—
438C24C2×C5×D412yes—
439C24C2×C5×Q814yes—
440C24C5×#4112yes—
441C24C5×#4114yes—
442C24C24×C511yescharacteristic
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—216no—
450C22×C4—28no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—28no—
472C22×C4—216no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—44no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4C2×C5×D412yes—
506C22×C4C2×C5×D412yes—
507C22×C4C2×C5×D412yes—
508C22×C4C2×C5×D412yes—
509C22×C4C2×C5×D412yes—
510C22×C4C2×C5×D414yes—
511C22×C4C2×C5×Q814yes—
512C22×C4C2×C5×Q814yes—
513C22×C4C5×#4112yes—
514C22×C4C5×#4114yes—
515C4⋊C4—48no—
516C4⋊C4—48no—
517C4⋊C4—44no—
518C4⋊C4—44no—
519C4⋊C4—44no—
520C4⋊C4—44no—
521C22⋊C4—28no—
522C22⋊C4—48no—
523C22⋊C4—44no—
524C2×C5—28no—
525C2×C5C2×#39811yescharacteristic
526C2×C5#241211yescharacteristic
527C2×C5#241611yescharacteristic
528C2×C5#243712yes—
529C2×C5#243812yes—
530C2×C5#244212yes—
531C2×C5#249811yescharacteristic
532C2×C5#254311yescharacteristic
533C2×C5#256912yes—
534C2×C5#265911yescharacteristic
535C2×C5#285711yescharacteristic
536C23—22no—
537C23—24no—
538C23—22no—
539C23—24no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—24no—
544C23—22no—
545C23—24no—
546C23—24no—
547C23—22no—
548C23—22no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—22no—
554C23C5×#12114yes—
555C23C5×C22⋊Q818yes—
556C23C5×#12314yes—
557C23C5×#12518yes—
558C23C5×C4⋊Q814yes—
559C23C22×C5×D411yescharacteristic
560C23C22×C5×D411yescharacteristic
561C23C22×C5×D411yescharacteristic
562C23C22×C5×Q812yes—
563C23C2×C5×#4111yescharacteristic
564C23C2×C5×#4111yescharacteristic
565C23C2×C5×#4112yes—
566C23C2×C5×#4112yes—
567C23C5×H(5,𝔽2)12yes—
568C23C5×H(5,𝔽2)11yescharacteristic
569C23C5×2−1+411yescharacteristic
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—416no—
592C2×C4—432no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4C5×#12114yes—
631C2×C4C5×C22⋊Q818yes—
632C5#1476611yescharacteristic, direct product factor, Sylow
633C22—24no—
634C22—24no—
635C22—28no—
636C22—24no—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—28no—
641C22—28no—
642C22—28no—
643C22C5×#39818yescomplemented
644C22C2×C5×#12111yescharacteristic
645C22C2×C5×#12111yescharacteristic
646C22C2×C5×C22⋊Q812yes—
647C22C2×C5×C22⋊Q812yes—
648C22C2×C5×#12311yescharacteristic
649C22C2×C5×#12512yes—
650C22C2×C5×C4⋊Q811yescharacteristic
651C22C5×#53211yescharacteristic
652C22C5×#53312yes—
653C22C5×#53411yescharacteristic
654C22C5×#53711yescharacteristic
655C22C5×#54312yes—
656C22C5×#54412yes—
657C22C5×D4211yescharacteristic
658C22C5×#54612yes—
659C22C5×#54612yes—
660C22C5×#54711yescharacteristic
661C22C5×#54811yescharacteristic
662C22C5×#55112yes—
663C22C5×#55112yes—
664C22C5×#55212yes—
665C22C5×#55312yes—
666C22C5×#55311yescharacteristic
667C4—24no—
668C4—28no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—44no—
673C4—81no—
674C4—82no—
675C4—81no—
676C4—82no—
677C2—28no—
678C2C2×C5×#39811yescharacteristic
679C2C5×#241211yescharacteristic
680C2C5×#241611yescharacteristic
681C2C5×#243712yes—
682C2C5×#243812yes—
683C2C5×#244212yes—
684C2C5×#249811yescharacteristic
685C2C5×#254311yescharacteristic
686C2C5×#256912yes—
687C2C5×#265911yescharacteristic
688C2C5×#285711yescharacteristic
subgroupG/H
center, socleC24×C5C24
commutator, Frattini, cosocleC24C24×C5
prime radicalC25×C5C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#398C2semidirect
6. C5×#1445C2semidirect
7. C5×#1444C2semidirect
8. C5×#1442C2semidirect
9. C5×#1441C2semidirect
10. C5×#1441C2semidirect
40. #14766C5direct (N × H)
100. C2×#398C2×C5semidirect
105. #1445C2×C5semidirect
106. #1444C2×C5semidirect
107. #1442C2×C5semidirect
108. #1441C2×C5semidirect
109. #1441C2×C5semidirect
397. C22×C5#398semidirect
632. C5#14766direct (N × H)
643. C22C5×#398semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#3982
C2×C5×#3852
C2×C5×#3802
C22×C5×#952
C5×#14452
C5×#14442
C5×#14422
C5×#14412
C5×C22⋊#952
#147665