Finite Group Databasebeta

← C5×#22936 #11945656

Subgroups — C5×#22936 #11945656

Order 1280.

930 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#481C211yesmaximal, characteristic
2C5×#2361C211yesmaximal, characteristic
3C5×#2345C211yesmaximal, characteristic, complemented
4C5×#1944C211yesmaximal, characteristic, complemented
5C5×#1936C211yesmaximal, characteristic, complemented
6C5×#1925C211yesmaximal, characteristic, complemented
7C5×#1920C211yesmaximal, characteristic, complemented
8C5×#1919C211yesmaximal, characteristic, complemented
9C5×#1893C211yesmaximal, characteristic
10C5×#1862C211yesmaximal, characteristic, complemented
11C5×#1852C211yesmaximal, characteristic, complemented
12C5×#1776C211yesmaximal, characteristic, complemented
13C5×#1762C211yesmaximal, characteristic, complemented
14C5×#1752C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C2×C5×#121C2211yescharacteristic
18C2×C4×C5×D4—21no—
19C2×C4×C5×D4C2211yescharacteristic
20C22×C5×C4⋊C4C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C5×#481C418yescomplemented
23C2×C5×#107C2211yescharacteristic
24C2×C5×#107C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×#102C2211yescharacteristic
28C2×C5×#102C2211yescharacteristic
29C2×C5×#102C2211yescharacteristic
30C2×C5×#102C2211yescharacteristic
31C2×C5×C22⋊C8C2211yescharacteristic
32C2×C5×#97C2211yescharacteristic
33C2×C5×#97C2211yescharacteristic
34C5×#390C2211yescharacteristic
35C5×#389C2211yescharacteristic
36C5×#389C2211yescharacteristic
37C5×#389C2211yescharacteristic
38C5×#388—21no—
39C5×#387—21no—
40C5×#387—21no—
41C5×#386—21no—
42C5×#385—21no—
43C5×#380—21no—
44C5×#380C2211yescharacteristic
45C4×C5×C4⋊C4C2211yescharacteristic
46C4×C5×C4⋊C4C2211yescharacteristic
47C4×C5×C4⋊C4C2211yescharacteristic
48C4×C5×C22⋊C4—21no—
49C4×C5×C22⋊C4C2211yescharacteristic
50C5×#340C2211yescharacteristic
51C5×#340C2211yescharacteristic
52C5×#340C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60#22936C511yesmaximal, characteristic, direct product factor, Sylow
61C22×C5×D4—21no—
62C22×C5×D4C2311yescharacteristic
63C23×C4×C5—21no—
64C23×C4×C5—21no—
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C22×C5×C8—22no—
68C22×C5×C8—22no—
69C22×C5×C8—41no—
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C5×#121—22no—
75C5×#121C2×C414yes—
76C4×C5×D4—22no—
77C4×C5×D4—41no—
78C4×C5×D4—44no—
79C2×C5×C4⋊C4—21no—
80C2×C5×C4⋊C4—22no—
81C2×C5×C4⋊C4—22no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—41no—
87C2×C5×C4⋊C4C2×C414yescomplemented
88C2×C5×C4⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C22⋊C4—21no—
96C2×C5×C22⋊C4—21no—
97C2×C5×C22⋊C4—21no—
98C2×C5×C22⋊C4—21no—
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4D411yescharacteristic
101C2×C5×C22⋊C4D411yescharacteristic
102C2×C42×C5—21no—
103C2×C42×C5—21no—
104C2×C42×C5—21no—
105C2×C42×C5C2311yescharacteristic
106C2×C42×C5C2311yescharacteristic
107C5×#107—22no—
108C5×#107—41no—
109C5×#106C2×C414yescomplemented
110C5×#106C2×C414yescomplemented
111C5×#102—22no—
112C5×#102—41no—
113C5×#102C2×C414yescomplemented
114C5×#102C2×C414yescomplemented
115C5×C22⋊C8C2×C414yescomplemented
116C5×#97—22no—
117C5×#97—41no—
118C5×#95—21no—
119C5×#95—21no—
120C5×#95—21no—
121C5×#95—21no—
122C5×#95—21no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95D411yescharacteristic
126C5×#95D411yescharacteristic
127C2×#481C2×C511yescharacteristic
128#2361C2×C511yescharacteristic
129#2345C2×C511yescharacteristic, complemented
130#1944C2×C511yescharacteristic, complemented
131#1936C2×C511yescharacteristic, complemented
132#1925C2×C511yescharacteristic, complemented
133#1920C2×C511yescharacteristic, complemented
134#1919C2×C511yescharacteristic, complemented
135#1893C2×C511yescharacteristic
136#1862C2×C511yescharacteristic, complemented
137#1852C2×C511yescharacteristic, complemented
138#1776C2×C511yescharacteristic, complemented
139#1762C2×C511yescharacteristic, complemented
140#1752C2×C511yescharacteristic, complemented
141C2×#340C2×C511yescharacteristic, complemented
142C24×C5—21no—
143C24×C5C2×D411yescharacteristic
144C2×C5×D4—24no—
145C2×C5×D4—21no—
146C2×C5×D4—21no—
147C2×C5×D4—21no—
148C2×C5×D4—21no—
149C2×C5×D4—21no—
150C2×C5×D4—42no—
151C2×C5×D4—42no—
152C2×C5×D4C22×C412yes—
153C22×C4×C5—21no—
154C22×C4×C5—21no—
155C22×C4×C5—21no—
156C22×C4×C5—21no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—21no—
161C22×C4×C5—24no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—42no—
166C22×C4×C5—42no—
167C22×C4×C5—42no—
168C22×C4×C5—42no—
169C22×C4×C5—81no—
170C22×C4×C5—81no—
171C22×C4×C5—81no—
172C22×C4×C5—81no—
173C22×C4×C5C22×C412yes—
174C22×C4×C5C2×D411yescharacteristic
175C22×C4×C5C2×D411yescharacteristic
176C22×C4×C5C2×D411yescharacteristic
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5#4112yes—
180C22×C4×C5C2411yescharacteristic
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—21no—
185C2×C5×C8—21no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—44no—
191C2×C5×C8C22×C412yes—
192C2×C5×C8C22×C412yes—
193C2×C5×C8#4112yes—
194C5×C4⋊C4—24no—
195C5×C4⋊C4—21no—
196C5×C4⋊C4—21no—
197C5×C4⋊C4—21no—
198C5×C4⋊C4—21no—
199C5×C4⋊C4—21no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
202C5×C4⋊C4—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—42no—
206C5×C4⋊C4—42no—
207C5×C4⋊C4—81no—
208C5×C4⋊C4—81no—
209C5×C4⋊C4C22×C412yes—
210C5×C4⋊C4C22×C412yes—
211C5×C4⋊C4C22×C412yes—
212C5×C4⋊C4#4112yes—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—22no—
215C5×C22⋊C4—24no—
216C5×C22⋊C4—42no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—81no—
220C42×C5—21no—
221C42×C5—21no—
222C42×C5—21no—
223C42×C5—21no—
224C42×C5—42no—
225C42×C5—81no—
226C42×C5—81no—
227C23×C8C22×C511yescharacteristic
228C2×#121C22×C511yescharacteristic
229C2×C4×D4—21no—
230C2×C4×D4C22×C511yescharacteristic
231C22×C4⋊C4C22×C511yescharacteristic
232C22×C4⋊C4C22×C511yescharacteristic
233#481C4×C518yescomplemented
234C2×#107C22×C511yescharacteristic
235C2×#107C22×C511yescharacteristic
236C2×#106C22×C511yescharacteristic
237C2×#106C22×C511yescharacteristic
238C2×#102C22×C511yescharacteristic
239C2×#102C22×C511yescharacteristic
240C2×#102C22×C511yescharacteristic
241C2×#102C22×C511yescharacteristic
242C2×C22⋊C8C22×C511yescharacteristic
243C2×#97C22×C511yescharacteristic
244C2×#97C22×C511yescharacteristic
245#390C22×C511yescharacteristic
246#389C22×C511yescharacteristic
247#389C22×C511yescharacteristic
248#389C22×C511yescharacteristic
249#388—21no—
250#387—21no—
251#387—21no—
252#386—21no—
253#385—21no—
254#380—21no—
255#380C22×C511yescharacteristic
256C4×C4⋊C4C22×C511yescharacteristic
257C4×C4⋊C4C22×C511yescharacteristic
258C4×C4⋊C4C22×C511yescharacteristic
259C4×C22⋊C4—21no—
260C4×C22⋊C4C22×C511yescharacteristic
261#340C22×C511yescharacteristic
262#340C22×C511yescharacteristic
263#340C22×C511yescharacteristic
264#340C22×C511yescharacteristic
265#340C22×C511yescharacteristic
266#340C22×C511yescharacteristic
267#340C22×C511yescharacteristic
268#340C22×C511yescharacteristic
269#336C22×C511yescharacteristic
270#336C22×C511yescharacteristic
271C23×C5—21no—
272C23×C5—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—22no—
276C23×C5—41no—
277C23×C5—41no—
278C23×C5—41no—
279C23×C5—41no—
280C23×C5—41no—
281C23×C5—41no—
282C23×C5C4×D412yes—
283C23×C5AGL(1,ℤ/8)12yes—
284C23×C5#13712yes—
285C23×C5C22×D411yescharacteristic
286C5×D4—22no—
287C5×D4—22no—
288C5×D4—48no—
289C5×D4—41no—
290C5×D4—41no—
291C2×C4×C5—21no—
292C2×C4×C5—21no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—22no—
299C2×C4×C5—22no—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—41no—
314C2×C4×C5—41no—
315C2×C4×C5—41no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
318C2×C4×C5—41no—
319C2×C4×C5—41no—
320C2×C4×C5—41no—
321C2×C4×C5—41no—
322C2×C4×C5—41no—
323C2×C4×C5—41no—
324C2×C4×C5—41no—
325C2×C4×C5—41no—
326C2×C4×C5—41no—
327C2×C4×C5—41no—
328C2×C4×C5—41no—
329C2×C4×C5—41no—
330C2×C4×C5—84no—
331C2×C4×C5—84no—
332C2×C4×C5—84no—
333C2×C4×C5C4×D412yes—
334C2×C4×C5C23×C411yescharacteristic
335C2×C4×C5C2×#4111yescharacteristic
336C2×C4×C5C2×#4111yescharacteristic
337C2×C4×C5C2×#4111yescharacteristic
338C2×C4×C5H(5,𝔽2)11yescharacteristic
339C2×C4×C52−1+411yescharacteristic
340C5×C8—22no—
341C5×C8—22no—
342C5×C8—22no—
343C5×C8—41no—
344C22×D4—21no—
345C22×D4C23×C511yescharacteristic
346C23×C4—21no—
347C23×C4—21no—
348C23×C4—21no—
349C23×C4C23×C511yescharacteristic
350C22×C8—22no—
351C22×C8—22no—
352C22×C8—41no—
353C22×C8C23×C511yescharacteristic
354C22×C8C23×C511yescharacteristic
355C22×C8C23×C511yescharacteristic
356C22×C8C23×C511yescharacteristic
357#121—22no—
358#121C2×C4×C514yes—
359C4×D4—22no—
360C4×D4—41no—
361C4×D4—44no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—41no—
370C2×C4⋊C4C2×C4×C514yescomplemented
371C2×C4⋊C4C23×C511yescharacteristic
372C2×C4⋊C4C23×C511yescharacteristic
373C2×C4⋊C4C23×C511yescharacteristic
374C2×C4⋊C4C23×C511yescharacteristic
375C2×C4⋊C4C23×C511yescharacteristic
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C4⋊C4C23×C511yescharacteristic
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4C5×D411yescharacteristic
384C2×C22⋊C4C5×D411yescharacteristic
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42C23×C511yescharacteristic
389C2×C42C23×C511yescharacteristic
390#107—22no—
391#107—41no—
392#106C2×C4×C514yescomplemented
393#106C2×C4×C514yescomplemented
394#102—22no—
395#102—41no—
396#102C2×C4×C514yescomplemented
397#102C2×C4×C514yescomplemented
398C22⋊C8C2×C4×C514yescomplemented
399#97—22no—
400#97—41no—
401#95—21no—
402#95—21no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95C5×D411yescharacteristic
409#95C5×D411yescharacteristic
410C22×C5—22no—
411C22×C5—22no—
412C22×C5—22no—
413C22×C5—22no—
414C22×C5—22no—
415C22×C5—22no—
416C22×C5—42no—
417C22×C5—42no—
418C22×C5—42no—
419C22×C5—81no—
420C22×C5—81no—
421C22×C5—81no—
422C22×C5—81no—
423C22×C5#44014yes—
424C22×C5C2×C4×D411yescharacteristic
425C22×C5#54611yescharacteristic
426C22×C5#54711yescharacteristic
427C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
428C22×C5C2×#13711yescharacteristic
429C22×C5#57611yescharacteristic
430C22×C5#57711yescharacteristic
431C4×C5—22no—
432C4×C5—41no—
433C4×C5—41no—
434C4×C5—42no—
435C4×C5—42no—
436C4×C5—42no—
437C4×C5—41no—
438C4×C5—41no—
439C4×C5—42no—
440C4×C5—81no—
441C4×C5—81no—
442C4×C5—81no—
443C4×C5C4×#4111yescharacteristic
444C4×C5#52011yescharacteristic
445C4×C5#55111yescharacteristic
446C4×C5#55211yescharacteristic
447C24—21no—
448C24C2×C5×D411yescharacteristic
449C2×D4—24no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4C22×C4×C512yes—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—81no—
475C22×C4—81no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4C22×C4×C512yes—
479C22×C4C2×C5×D411yescharacteristic
480C22×C4C2×C5×D411yescharacteristic
481C22×C4C2×C5×D411yescharacteristic
482C22×C4C2×C5×D411yescharacteristic
483C22×C4C2×C5×D411yescharacteristic
484C22×C4C5×#4112yes—
485C22×C4C24×C511yescharacteristic
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—44no—
496C2×C8C22×C4×C512yes—
497C2×C8C22×C4×C512yes—
498C2×C8C5×#4112yes—
499C4⋊C4—24no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4C22×C4×C512yes—
515C4⋊C4C22×C4×C512yes—
516C4⋊C4C22×C4×C512yes—
517C4⋊C4C5×#4112yes—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—24no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—81no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—42no—
530C42—81no—
531C42—81no—
532C2×C5—24no—
533C2×C5—82no—
534C2×C5#235911yescharacteristic
535C2×C5C2×#44011yescharacteristic
536C2×C5#294611yescharacteristic
537C2×C5#331611yescharacteristic
538C2×C5#331811yescharacteristic
539C2×C5#334511yescharacteristic
540C2×C5#334611yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—22no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23C4×C5×D412yes—
553C23C5×AGL(1,ℤ/8)12yes—
554C23C5×#13712yes—
555C23C22×C5×D411yescharacteristic
556D4—22no—
557D4—22no—
558D4—48no—
559D4—41no—
560D4—41no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4—84no—
603C2×C4C4×C5×D412yes—
604C2×C4C23×C4×C511yescharacteristic
605C2×C4C2×C5×#4111yescharacteristic
606C2×C4C2×C5×#4111yescharacteristic
607C2×C4C2×C5×#4111yescharacteristic
608C2×C4C5×H(5,𝔽2)11yescharacteristic
609C2×C4C5×2−1+411yescharacteristic
610C8—22no—
611C8—22no—
612C8—22no—
613C8—41no—
614C5#2293611yescharacteristic, direct product factor, Sylow
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C5×#44014yes—
629C22C2×C4×C5×D411yescharacteristic
630C22C5×#54611yescharacteristic
631C22C5×#54711yescharacteristic
632C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
633C22C2×C5×#13711yescharacteristic
634C22C5×#57611yescharacteristic
635C22C5×#57711yescharacteristic
636C4—22no—
637C4—41no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—42no—
643C4—42no—
644C4—42no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C4×C5×#4111yescharacteristic
649C4C5×#52011yescharacteristic
650C4C5×#55111yescharacteristic
651C4C5×#55211yescharacteristic
652C2—24no—
653C2—82no—
654C2C5×#235911yescharacteristic
655C2C2×C5×#44011yescharacteristic
656C2C5×#294611yescharacteristic
657C2C5×#331611yescharacteristic
658C2C5×#331811yescharacteristic
659C2C5×#334511yescharacteristic
660C2C5×#334611yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutatorC2×C4C23×C4×C5
Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
3. C5×#2345C2semidirect
4. C5×#1944C2semidirect
5. C5×#1936C2semidirect
6. C5×#1925C2semidirect
7. C5×#1920C2semidirect
8. C5×#1919C2semidirect
10. C5×#1862C2semidirect
11. C5×#1852C2semidirect
12. C5×#1776C2semidirect
13. C5×#1762C2semidirect
14. C5×#1752C2semidirect
15. C2×C5×#340C2semidirect
22. C5×#481C4semidirect
60. #22936C5direct (N × H)
87. C2×C5×C4⋊C4C2×C4semidirect
109. C5×#106C2×C4semidirect
110. C5×#106C2×C4semidirect
113. C5×#102C2×C4semidirect
114. C5×#102C2×C4semidirect
115. C5×C22⋊C8C2×C4semidirect
129. #2345C2×C5semidirect
130. #1944C2×C5semidirect
131. #1936C2×C5semidirect
132. #1925C2×C5semidirect
133. #1920C2×C5semidirect
134. #1919C2×C5semidirect
136. #1862C2×C5semidirect
137. #1852C2×C5semidirect
138. #1776C2×C5semidirect
139. #1762C2×C5semidirect
140. #1752C2×C5semidirect
141. C2×#340C2×C5semidirect
233. #481C4×C5semidirect
370. C2×C4⋊C4C2×C4×C5semidirect
392. #106C2×C4×C5semidirect
393. #106C2×C4×C5semidirect
396. #102C2×C4×C5semidirect
397. #102C2×C4×C5semidirect
398. C22⋊C8C2×C4×C5semidirect
614. C5#22936direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4812
C5×#23612
C5×#23452
C5×#19442
C5×#19362
C5×#19252
C5×#19202
C5×#19192
C5×#18932
C5×#18622
C5×#18522
C5×#17762
C5×#17622
C5×#17522
C2×C5×#3402
#229365