Finite Group Databasebeta

← C5×#25206 #11947926

Subgroups — C5×#25206 #11947926

Order 1280.

858 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#484C211yesmaximal, characteristic
2C2×C5×#467C211yesmaximal, characteristic
3C5×#2502C211yesmaximal, characteristic
4C5×#2360C211yesmaximal, characteristic
5C5×#2083C211yesmaximal, characteristic, complemented
6C5×#2072C211yesmaximal, characteristic, complemented
7C5×#2068C211yesmaximal, characteristic, complemented
8C5×#2056C211yesmaximal, characteristic, complemented
9C5×#1947C211yesmaximal, characteristic, complemented
10C5×#1928C211yesmaximal, characteristic, complemented
11C5×#1878C211yesmaximal, characteristic, complemented
12C5×#1872C211yesmaximal, characteristic
13C5×#1850C211yesmaximal, characteristic
14C5×#1803C211yesmaximal, characteristic, complemented
15C2×C5×#340C211yesmaximal, characteristic
16C22×C5×Q16C2211yescharacteristic
17C23×C5×C8C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C5×#484—24no—
24C5×#467—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#107C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×C4⋊C8C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#103C2211yescharacteristic
35C2×C5×#103C2211yescharacteristic
36C2×C5×C22⋊C8C2211yescharacteristic
37C5×#398—21no—
38C5×#398—21no—
39C5×#391C2211yescharacteristic
40C5×#391C2211yescharacteristic
41C5×#391C2211yescharacteristic
42C5×#389—21no—
43C5×#389C2211yescharacteristic
44C5×#387—21no—
45C5×#385—21no—
46C5×#385—21no—
47C5×#385—21no—
48C5×#384C2211yescharacteristic
49C5×#384C2211yescharacteristic
50C4×C5×C4⋊C4C2211yescharacteristic
51C4×C5×C22⋊C4—21no—
52C4×C5×C22⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#25206C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×Q8C2311yescharacteristic
64C23×C4×C5—21no—
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C2×C5×Q16—22no—
68C2×C5×Q16—22no—
69C2×C5×Q16—41no—
70C22×C5×C8—22no—
71C22×C5×C8—22no—
72C22×C5×C8—41no—
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C5×C22⋊Q8—22no—
78C5×C22⋊Q8—22no—
79C5×C22⋊Q8—22no—
80C5×C22⋊Q8D414yes—
81C4×C5×Q8—22no—
82C4×C5×Q8—41no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—22no—
85C2×C5×C4⋊C4—22no—
86C2×C5×C4⋊C4—22no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—41no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C5×C22⋊C4D411yescharacteristic
106C2×C5×C22⋊C4D411yescharacteristic
107C2×C42×C5—21no—
108C2×C42×C5—21no—
109C2×C42×C5C2311yescharacteristic
110C2×C42×C5C2311yescharacteristic
111C5×#107—22no—
112C5×#107—22no—
113C5×#107—22no—
114C5×C4⋊C8—22no—
115C5×C4⋊C8—41no—
116C5×#103—22no—
117C5×#103—22no—
118C5×#103—22no—
119C5×#103—22no—
120C5×#103—22no—
121C5×#103—41no—
122C5×C22⋊C8—22no—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95D411yescharacteristic
132C5×#95D411yescharacteristic
133C2×#484C2×C511yescharacteristic
134C2×#467C2×C511yescharacteristic
135#2502C2×C511yescharacteristic
136#2360C2×C511yescharacteristic
137#2083C2×C511yescharacteristic, complemented
138#2072C2×C511yescharacteristic, complemented
139#2068C2×C511yescharacteristic, complemented
140#2056C2×C511yescharacteristic, complemented
141#1947C2×C511yescharacteristic, complemented
142#1928C2×C511yescharacteristic, complemented
143#1878C2×C511yescharacteristic, complemented
144#1872C2×C511yescharacteristic
145#1850C2×C511yescharacteristic
146#1803C2×C511yescharacteristic, complemented
147C2×#340C2×C511yescharacteristic
148C24×C5C2×D411yescharacteristic
149C2×C5×Q8—21no—
150C2×C5×Q8—21no—
151C2×C5×Q8—21no—
152C2×C5×Q8—21no—
153C2×C5×Q8—21no—
154C2×C5×Q8—21no—
155C2×C5×Q8—21no—
156C2×C5×Q8—21no—
157C2×C5×Q8—21no—
158C2×C5×Q8—21no—
159C2×C5×Q8—21no—
160C2×C5×Q8C2×D412yes—
161C22×C4×C5—21no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
169C22×C4×C5—21no—
170C22×C4×C5—21no—
171C22×C4×C5—21no—
172C22×C4×C5—21no—
173C22×C4×C5—42no—
174C22×C4×C5—42no—
175C22×C4×C5—42no—
176C22×C4×C5—81no—
177C22×C4×C5—81no—
178C22×C4×C5—81no—
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D412yes—
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5#4112yes—
186C22×C4×C5C2411yescharacteristic
187C5×Q16—44no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8—21no—
192C2×C5×C8—21no—
193C2×C5×C8—21no—
194C2×C5×C8—21no—
195C2×C5×C8—21no—
196C2×C5×C8—21no—
197C2×C5×C8—21no—
198C2×C5×C8—21no—
199C2×C5×C8—44no—
200C2×C5×C8#4112yes—
201C5×C4⋊C4—24no—
202C5×C4⋊C4—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—21no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—42no—
213C5×C4⋊C4—42no—
214C5×C4⋊C4—42no—
215C5×C4⋊C4—42no—
216C5×C4⋊C4—81no—
217C5×C4⋊C4—81no—
218C5×C4⋊C4—81no—
219C5×C4⋊C4—81no—
220C5×C4⋊C4—81no—
221C5×C4⋊C4C2×D412yes—
222C5×C4⋊C4#4112yes—
223C5×C22⋊C4—24no—
224C5×C22⋊C4—22no—
225C5×C22⋊C4—42no—
226C5×C22⋊C4Q1614yescomplemented
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—42no—
232C42×C5—81no—
233C22×Q16C22×C511yescharacteristic
234C23×C8C22×C511yescharacteristic
235C2×C22⋊Q8C22×C511yescharacteristic
236C2×C22⋊Q8C22×C511yescharacteristic
237C2×C4×Q8C22×C511yescharacteristic
238C22×C4⋊C4C22×C511yescharacteristic
239C22×C4⋊C4C22×C511yescharacteristic
240#484—24no—
241#467—24no—
242C2×#107C22×C511yescharacteristic
243C2×#107C22×C511yescharacteristic
244C2×#107C22×C511yescharacteristic
245C2×C4⋊C8C22×C511yescharacteristic
246C2×C4⋊C8C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#103C22×C511yescharacteristic
252C2×#103C22×C511yescharacteristic
253C2×C22⋊C8C22×C511yescharacteristic
254#398—21no—
255#398—21no—
256#391C22×C511yescharacteristic
257#391C22×C511yescharacteristic
258#391C22×C511yescharacteristic
259#389—21no—
260#389C22×C511yescharacteristic
261#387—21no—
262#385—21no—
263#385—21no—
264#385—21no—
265#384C22×C511yescharacteristic
266#384C22×C511yescharacteristic
267C4×C4⋊C4C22×C511yescharacteristic
268C4×C22⋊C4—21no—
269C4×C22⋊C4C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277#336C22×C511yescharacteristic
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5#12112yes—
283C23×C5C2×Q1612yes—
284C23×C5#13712yes—
285C23×C5C22×D411yescharacteristic
286C5×Q8—22no—
287C5×Q8—22no—
288C5×Q8—41no—
289C5×Q8—41no—
290C5×Q8—41no—
291C5×Q8—41no—
292C5×Q8—41no—
293C5×Q8—41no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—21no—
307C2×C4×C5—22no—
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—41no—
331C2×C4×C5—41no—
332C2×C4×C5—41no—
333C2×C4×C5—41no—
334C2×C4×C5—84no—
335C2×C4×C5—84no—
336C2×C4×C5#12112yes—
337C2×C4×C5C2×Q1612yes—
338C2×C4×C5C2×Q1612yes—
339C2×C4×C5C22×D411yescharacteristic
340C2×C4×C5C2×#4111yescharacteristic
341C2×C4×C5C2×#4111yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5H(5,𝔽2)11yescharacteristic
344C2×C4×C52−1+411yescharacteristic
345C5×C8—22no—
346C5×C8—41no—
347C5×C8—41no—
348C5×C8—41no—
349C22×Q8C23×C511yescharacteristic
350C22×Q8C23×C511yescharacteristic
351C23×C4—21no—
352C23×C4—21no—
353C23×C4C23×C511yescharacteristic
354C2×Q16—22no—
355C2×Q16—22no—
356C2×Q16—41no—
357C22×C8—22no—
358C22×C8—22no—
359C22×C8—41no—
360C22×C8C23×C511yescharacteristic
361C22×C8C23×C511yescharacteristic
362C22×C8C23×C511yescharacteristic
363C22×C8C23×C511yescharacteristic
364C22⋊Q8—22no—
365C22⋊Q8—22no—
366C22⋊Q8—22no—
367C22⋊Q8C5×D414yes—
368C4×Q8—22no—
369C4×Q8—41no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4C23×C511yescharacteristic
385C2×C4⋊C4C23×C511yescharacteristic
386C2×C4⋊C4C23×C511yescharacteristic
387C2×C4⋊C4C23×C511yescharacteristic
388C2×C4⋊C4C23×C511yescharacteristic
389C2×C4⋊C4C23×C511yescharacteristic
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4C5×D411yescharacteristic
393C2×C22⋊C4C5×D411yescharacteristic
394C2×C42—21no—
395C2×C42—21no—
396C2×C42C23×C511yescharacteristic
397C2×C42C23×C511yescharacteristic
398#107—22no—
399#107—22no—
400#107—22no—
401C4⋊C8—22no—
402C4⋊C8—41no—
403#103—22no—
404#103—22no—
405#103—22no—
406#103—22no—
407#103—22no—
408#103—41no—
409C22⋊C8—22no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95C5×D411yescharacteristic
419#95C5×D411yescharacteristic
420C22×C5—22no—
421C22×C5—22no—
422C22×C5—22no—
423C22×C5—22no—
424C22×C5—22no—
425C22×C5—22no—
426C22×C5#46214yes—
427C22×C5C2×#12111yescharacteristic
428C22×C5#54611yescharacteristic
429C22×C5#54711yescharacteristic
430C22×C5C22×Q1611yescharacteristic
431C22×C5C2×#13711yescharacteristic
432C22×C5#57611yescharacteristic
433C22×C5#57711yescharacteristic
434C4×C5—22no—
435C4×C5—22no—
436C4×C5—22no—
437C4×C5—41no—
438C4×C5—42no—
439C4×C5—42no—
440C4×C5—41no—
441C4×C5—42no—
442C4×C5—81no—
443C4×C5—81no—
444C4×C5—81no—
445C4×C5—81no—
446C4×C5—81no—
447C4×C5#52911yescharacteristic
448C4×C5#53911yescharacteristic
449C4×C5#54611yescharacteristic
450C4×C5#54711yescharacteristic
451C24C2×C5×D411yescharacteristic
452C2×Q8—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8C2×C5×D412yes—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4C2×C5×D411yescharacteristic
483C22×C4C2×C5×D411yescharacteristic
484C22×C4C2×C5×D411yescharacteristic
485C22×C4C2×C5×D412yes—
486C22×C4C2×C5×D411yescharacteristic
487C22×C4C2×C5×D411yescharacteristic
488C22×C4C5×#4112yes—
489C22×C4C24×C511yescharacteristic
490Q16—44no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—44no—
503C2×C8C5×#4112yes—
504C4⋊C4—24no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—81no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4—81no—
524C4⋊C4C2×C5×D412yes—
525C4⋊C4C5×#4112yes—
526C22⋊C4—24no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4C5×Q1614yescomplemented
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—81no—
536C2×C5—24no—
537C2×C5#242511yescharacteristic
538C2×C5C2×#46211yescharacteristic
539C2×C5#304511yescharacteristic
540C2×C5#329911yescharacteristic
541C2×C5#331411yescharacteristic
542C2×C5#333811yescharacteristic
543C2×C5#334411yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23C5×#12112yes—
549C23C2×C5×Q1612yes—
550C23C5×#13712yes—
551C23C22×C5×D411yescharacteristic
552Q8—22no—
553Q8—22no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
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×C4C5×#12112yes—
603C2×C4C2×C5×Q1612yes—
604C2×C4C2×C5×Q1612yes—
605C2×C4C22×C5×D411yescharacteristic
606C2×C4C2×C5×#4111yescharacteristic
607C2×C4C2×C5×#4111yescharacteristic
608C2×C4C2×C5×#4111yescharacteristic
609C2×C4C5×H(5,𝔽2)11yescharacteristic
610C2×C4C5×2−1+411yescharacteristic
611C8—22no—
612C8—41no—
613C8—41no—
614C8—41no—
615C5#2520611yescharacteristic, direct product factor, Sylow
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22C5×#46214yes—
623C22C2×C5×#12111yescharacteristic
624C22C5×#54611yescharacteristic
625C22C5×#54711yescharacteristic
626C22C22×C5×Q1611yescharacteristic
627C22C2×C5×#13711yescharacteristic
628C22C5×#57611yescharacteristic
629C22C5×#57711yescharacteristic
630C4—22no—
631C4—22no—
632C4—22no—
633C4—42no—
634C4—41no—
635C4—42no—
636C4—41no—
637C4—42no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C5×#52911yescharacteristic
644C4C5×#53911yescharacteristic
645C4C5×#54611yescharacteristic
646C4C5×#54711yescharacteristic
647C2—24no—
648C2C5×#242511yescharacteristic
649C2C2×C5×#46211yescharacteristic
650C2C5×#304511yescharacteristic
651C2C5×#329911yescharacteristic
652C2C5×#331411yescharacteristic
653C2C5×#333811yescharacteristic
654C2C5×#334411yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC24×C5C2×D4
LCSG ▷ C22×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
5. C5×#2083C2semidirect
6. C5×#2072C2semidirect
7. C5×#2068C2semidirect
8. C5×#2056C2semidirect
9. C5×#1947C2semidirect
10. C5×#1928C2semidirect
11. C5×#1878C2semidirect
14. C5×#1803C2semidirect
61. #25206C5direct (N × H)
137. #2083C2×C5semidirect
138. #2072C2×C5semidirect
139. #2068C2×C5semidirect
140. #2056C2×C5semidirect
141. #1947C2×C5semidirect
142. #1928C2×C5semidirect
143. #1878C2×C5semidirect
146. #1803C2×C5semidirect
226. C5×C22⋊C4Q16semidirect
529. C22⋊C4C5×Q16semidirect
615. C5#25206direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4842
C2×C5×#4672
C5×#25022
C5×#23602
C5×#20832
C5×#20722
C5×#20682
C5×#20562
C5×#19472
C5×#19282
C5×#18782
C5×#18722
C5×#18502
C5×#18032
C2×C5×#3402
#252065