Finite Group Databasebeta

← C5×#26902 #11949622

Subgroups — C5×#26902 #11949622

Order 1280.

872 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#475C211yesmaximal, characteristic, complemented
2C2×C4×C5×SD16C211yesmaximal, characteristic
3C5×#2452C211yesmaximal, characteristic
4C5×#2365C211yesmaximal, characteristic, complemented
5C5×#2055C211yesmaximal, characteristic
6C5×#2043C211yesmaximal, characteristic, complemented
7C5×#2024C211yesmaximal, characteristic, complemented
8C5×#2013C211yesmaximal, characteristic
9C5×#1933C211yesmaximal, characteristic, complemented
10C5×#1926C211yesmaximal, characteristic
11C5×#1919C211yesmaximal, characteristic, complemented
12C5×#1916C211yesmaximal, characteristic, complemented
13C5×#1880C211yesmaximal, characteristic
14C5×#1877C211yesmaximal, characteristic
15C5×#1865C211yesmaximal, characteristic, complemented
16C22×C5×SD16C2211yescharacteristic
17C22×C5×SD16C2211yescharacteristic
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C5×C4⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8—21no—
21C2×C4×C5×Q8C2211yescharacteristic
22C2×C4×C5×Q8C2211yescharacteristic
23C2×C4×C5×D4C2211yescharacteristic
24C5×#475—24no—
25C4×C5×SD16—24no—
26C2×C5×#106C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#103C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C4×C5×C8C2211yescharacteristic
38C5×#396—21no—
39C5×#393—21no—
40C5×#391C2211yescharacteristic
41C5×#391C2211yescharacteristic
42C5×#390C2211yescharacteristic
43C5×#390C2211yescharacteristic
44C5×#389—21no—
45C5×#389C2211yescharacteristic
46C5×#389C2211yescharacteristic
47C5×#387—21no—
48C5×#387—21no—
49C5×#385—21no—
50C4×C5×C4⋊C4—21no—
51C4×C5×C4⋊C4C2211yescharacteristic
52C4×C5×C4⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26902C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8—21no—
63C22×C5×Q8C2311yescharacteristic
64C22×C5×Q8C2311yescharacteristic
65C22×C5×D4C2311yescharacteristic
66C23×C4×C5—21no—
67C2×C5×SD16—22no—
68C2×C5×SD16—22no—
69C2×C5×SD16—22no—
70C2×C5×SD16—22no—
71C2×C5×SD16—22no—
72C2×C5×SD16—41no—
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C22×C5×C8C2311yescharacteristic
76C22×C5×C8C2311yescharacteristic
77C5×C4⋊Q8—22no—
78C5×C4⋊Q8—22no—
79C5×C4⋊Q8—22no—
80C5×C4⋊Q8—41no—
81C5×C22⋊Q8—44no—
82C4×C5×Q8—22no—
83C4×C5×Q8—22no—
84C4×C5×Q8—41no—
85C4×C5×Q8—41no—
86C4×C5×D4—22no—
87C4×C5×D4—41no—
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⋊C4D411yescharacteristic
96C2×C5×C4⋊C4D411yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4—21no—
107C2×C42×C5—21no—
108C2×C42×C5—21no—
109C2×C42×C5—21no—
110C2×C42×C5C2311yescharacteristic
111C2×C42×C5C2311yescharacteristic
112C2×C42×C5C2311yescharacteristic
113C5×#106—22no—
114C5×#106D414yes—
115C5×C4⋊C8—22no—
116C5×#103—22no—
117C5×#103—22no—
118C5×#103—22no—
119C5×#103—22no—
120C5×#103—22no—
121C5×#103—41no—
122C5×#102—22no—
123C5×#102—22no—
124C4×C5×C8—22no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95—21no—
132C5×#95D411yescharacteristic
133C5×#95D411yescharacteristic
134C2×#475C2×C511yescharacteristic, complemented
135C2×C4×SD16C2×C511yescharacteristic
136#2452C2×C511yescharacteristic
137#2365C2×C511yescharacteristic, complemented
138#2055C2×C511yescharacteristic
139#2043C2×C511yescharacteristic, complemented
140#2024C2×C511yescharacteristic, complemented
141#2013C2×C511yescharacteristic
142#1933C2×C511yescharacteristic, complemented
143#1926C2×C511yescharacteristic
144#1919C2×C511yescharacteristic, complemented
145#1916C2×C511yescharacteristic, complemented
146#1880C2×C511yescharacteristic
147#1877C2×C511yescharacteristic
148#1865C2×C511yescharacteristic, complemented
149C24×C5—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×Q8—42no—
161C2×C5×Q8—42no—
162C2×C5×Q8—81no—
163C2×C5×Q8#4112yes—
164C2×C5×Q8#4112yes—
165C2×C5×D4—21no—
166C2×C5×D4—21no—
167C2×C5×D4—21no—
168C2×C5×D4—21no—
169C2×C5×D4—21no—
170C2×C5×D4#4112yes—
171C22×C4×C5—21no—
172C22×C4×C5—21no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—21no—
177C22×C4×C5—21no—
178C22×C4×C5—42no—
179C22×C4×C5—42no—
180C22×C4×C5—81no—
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2×D411yescharacteristic
186C22×C4×C5C2×D411yescharacteristic
187C22×C4×C5C2411yescharacteristic
188C5×SD16—28no—
189C5×SD16—44no—
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—21no—
200C2×C5×C8—21no—
201C2×C5×C8C2×D412yes—
202C5×C4⋊C4—24no—
203C5×C4⋊C4—24no—
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—41no—
213C5×C4⋊C4—42no—
214C5×C4⋊C4—42no—
215C5×C4⋊C4—42no—
216C5×C4⋊C4—42no—
217C5×C4⋊C4—42no—
218C5×C4⋊C4SD1614yescomplemented
219C5×C4⋊C4C2×D412yes—
220C5×C4⋊C4C2×D412yes—
221C5×C22⋊C4—42no—
222C5×C22⋊C4—42no—
223C5×C22⋊C4—42no—
224C5×C22⋊C4—42no—
225C5×C22⋊C4—81no—
226C42×C5—21no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—21no—
232C42×C5—42no—
233C42×C5—42no—
234C42×C5—42no—
235C22×SD16C22×C511yescharacteristic
236C22×SD16C22×C511yescharacteristic
237C2×C4⋊Q8C22×C511yescharacteristic
238C2×C4⋊Q8C22×C511yescharacteristic
239C2×C22⋊Q8—21no—
240C2×C4×Q8C22×C511yescharacteristic
241C2×C4×Q8C22×C511yescharacteristic
242C2×C4×D4C22×C511yescharacteristic
243#475—24no—
244C4×SD16—24no—
245C2×#106C22×C511yescharacteristic
246C2×#106C22×C511yescharacteristic
247C2×C4⋊C8C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#103C22×C511yescharacteristic
252C2×#103C22×C511yescharacteristic
253C2×#103C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×#102C22×C511yescharacteristic
256C2×C4×C8C22×C511yescharacteristic
257#396—21no—
258#393—21no—
259#391C22×C511yescharacteristic
260#391C22×C511yescharacteristic
261#390C22×C511yescharacteristic
262#390C22×C511yescharacteristic
263#389—21no—
264#389C22×C511yescharacteristic
265#389C22×C511yescharacteristic
266#387—21no—
267#387—21no—
268#385—21no—
269C4×C4⋊C4—21no—
270C4×C4⋊C4C22×C511yescharacteristic
271C4×C4⋊C4C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277#336C22×C511yescharacteristic
278#336C22×C511yescharacteristic
279#336C22×C511yescharacteristic
280C23×C5—22no—
281C23×C5—41no—
282C23×C5—41no—
283C23×C5—41no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5C22×D411yescharacteristic
288C5×Q8—22no—
289C5×Q8—22no—
290C5×Q8—22no—
291C5×Q8—22no—
292C5×Q8—41no—
293C5×Q8—41no—
294C5×Q8—41no—
295C5×Q8—41no—
296C5×Q8—84no—
297C5×D4—22no—
298C5×D4—22no—
299C5×D4—41no—
300C5×D4—41no—
301C2×C4×C5—21no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—22no—
309C2×C4×C5—22no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—21no—
315C2×C4×C5—21no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
319C2×C4×C5—21no—
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—41no—
335C2×C4×C5—41no—
336C2×C4×C5—41no—
337C2×C4×C5—84no—
338C2×C4×C5C2×SD1612yes—
339C2×C4×C5C2×SD1612yes—
340C2×C4×C5C2×SD1612yes—
341C2×C4×C5C22×D411yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C2×C4×C5C2×#4111yescharacteristic
345C2×C4×C5H(5,𝔽2)11yescharacteristic
346C2×C4×C52−1+411yescharacteristic
347C5×C8—22no—
348C5×C8—41no—
349C5×C8—41no—
350C5×C8—41no—
351C22×Q8—21no—
352C22×Q8C23×C511yescharacteristic
353C22×Q8C23×C511yescharacteristic
354C22×D4C23×C511yescharacteristic
355C23×C4—21no—
356C2×SD16—22no—
357C2×SD16—22no—
358C2×SD16—22no—
359C2×SD16—22no—
360C2×SD16—22no—
361C2×SD16—41no—
362C22×C8C23×C511yescharacteristic
363C22×C8C23×C511yescharacteristic
364C22×C8C23×C511yescharacteristic
365C22×C8C23×C511yescharacteristic
366C4⋊Q8—22no—
367C4⋊Q8—22no—
368C4⋊Q8—22no—
369C4⋊Q8—41no—
370C22⋊Q8—44no—
371C4×Q8—22no—
372C4×Q8—22no—
373C4×Q8—41no—
374C4×Q8—41no—
375C4×D4—22no—
376C4×D4—41no—
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—21no—
384C2×C4⋊C4C5×D411yescharacteristic
385C2×C4⋊C4C5×D411yescharacteristic
386C2×C4⋊C4C23×C511yescharacteristic
387C2×C4⋊C4C23×C511yescharacteristic
388C2×C4⋊C4C23×C511yescharacteristic
389C2×C4⋊C4C23×C511yescharacteristic
390C2×C4⋊C4C23×C511yescharacteristic
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42C23×C511yescharacteristic
400C2×C42C23×C511yescharacteristic
401C2×C42C23×C511yescharacteristic
402#106—22no—
403#106C5×D414yes—
404C4⋊C8—22no—
405#103—22no—
406#103—22no—
407#103—22no—
408#103—22no—
409#103—22no—
410#103—41no—
411#102—22no—
412#102—22no—
413C4×C8—22no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95C5×D411yescharacteristic
422#95C5×D411yescharacteristic
423C22×C5—42no—
424C22×C5—42no—
425C22×C5—42no—
426C22×C5—81no—
427C22×C5—81no—
428C22×C5—81no—
429C22×C5—81no—
430C22×C5#52511yescharacteristic
431C22×C5D4211yescharacteristic
432C22×C5#54811yescharacteristic
433C22×C5C22×SD1611yescharacteristic
434C22×C5#57511yescharacteristic
435C22×C5#57711yescharacteristic
436C22×C5#57811yescharacteristic
437C4×C5—22no—
438C4×C5—22no—
439C4×C5—22no—
440C4×C5—41no—
441C4×C5—42no—
442C4×C5—42no—
443C4×C5—41no—
444C4×C5—41no—
445C4×C5—42no—
446C4×C5—42no—
447C4×C5—81no—
448C4×C5—81no—
449C4×C5—81no—
450C4×C5#52511yescharacteristic
451C4×C5#53911yescharacteristic
452C4×C5#54811yescharacteristic
453C4×C5#55111yescharacteristic
454C24—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×Q8—21no—
464C2×Q8—21no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—81no—
468C2×Q8C5×#4112yes—
469C2×Q8C5×#4112yes—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4C5×#4112yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4C2×C5×D411yescharacteristic
487C22×C4C2×C5×D411yescharacteristic
488C22×C4C2×C5×D411yescharacteristic
489C22×C4C2×C5×D411yescharacteristic
490C22×C4C2×C5×D411yescharacteristic
491C22×C4C2×C5×D411yescharacteristic
492C22×C4C24×C511yescharacteristic
493SD16—28no—
494SD16—44no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8C2×C5×D412yes—
507C4⋊C4—24no—
508C4⋊C4—24no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—41no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4C5×SD1614yescomplemented
524C4⋊C4C2×C5×D412yes—
525C4⋊C4C2×C5×D412yes—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—42no—
538C42—42no—
539C42—42no—
540C2×C5—82no—
541C2×C5#246311yescharacteristic
542C2×C5#310311yescharacteristic
543C2×C5#312111yescharacteristic
544C2×C5#326911yescharacteristic
545C2×C5D4×SD1611yescharacteristic
546C2×C5#335911yescharacteristic
547C2×C5#337611yescharacteristic
548C23—22no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×C5×D411yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—22no—
559Q8—22no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—84no—
565D4—22no—
566D4—22no—
567D4—41no—
568D4—41no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
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—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—84no—
606C2×C4C2×C5×SD1612yes—
607C2×C4C2×C5×SD1612yes—
608C2×C4C2×C5×SD1612yes—
609C2×C4C22×C5×D411yescharacteristic
610C2×C4C2×C5×#4111yescharacteristic
611C2×C4C2×C5×#4111yescharacteristic
612C2×C4C2×C5×#4111yescharacteristic
613C2×C4C5×H(5,𝔽2)11yescharacteristic
614C2×C4C5×2−1+411yescharacteristic
615C8—22no—
616C8—41no—
617C8—41no—
618C8—41no—
619C5#2690211yescharacteristic, direct product factor, Sylow
620C22—42no—
621C22—42no—
622C22—42no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22C5×#52511yescharacteristic
628C22C5×D4211yescharacteristic
629C22C5×#54811yescharacteristic
630C22C22×C5×SD1611yescharacteristic
631C22C5×#57511yescharacteristic
632C22C5×#57711yescharacteristic
633C22C5×#57811yescharacteristic
634C4—22no—
635C4—22no—
636C4—22no—
637C4—41no—
638C4—41no—
639C4—42no—
640C4—42no—
641C4—41no—
642C4—42no—
643C4—42no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4C5×#52511yescharacteristic
648C4C5×#53911yescharacteristic
649C4C5×#54811yescharacteristic
650C4C5×#55111yescharacteristic
651C2—82no—
652C2C5×#246311yescharacteristic
653C2C5×#310311yescharacteristic
654C2C5×#312111yescharacteristic
655C2C5×#326911yescharacteristic
656C2C5×D4×SD1611yescharacteristic
657C2C5×#335911yescharacteristic
658C2C5×#337611yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#475C2semidirect
4. C5×#2365C2semidirect
6. C5×#2043C2semidirect
7. C5×#2024C2semidirect
9. C5×#1933C2semidirect
11. C5×#1919C2semidirect
12. C5×#1916C2semidirect
15. C5×#1865C2semidirect
61. #26902C5direct (N × H)
134. C2×#475C2×C5semidirect
137. #2365C2×C5semidirect
139. #2043C2×C5semidirect
140. #2024C2×C5semidirect
142. #1933C2×C5semidirect
144. #1919C2×C5semidirect
145. #1916C2×C5semidirect
148. #1865C2×C5semidirect
218. C5×C4⋊C4SD16semidirect
523. C4⋊C4C5×SD16semidirect
619. C5#26902direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4752
C2×C4×C5×SD162
C5×#24522
C5×#23652
C5×#20552
C5×#20432
C5×#20242
C5×#20132
C5×#19332
C5×#19262
C5×#19192
C5×#19162
C5×#18802
C5×#18772
C5×#18652
#269025