Finite Group Databasebeta

← C5×#26390 #11949110

Subgroups — C5×#26390 #11949110

Order 1280.

926 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#478C211yesmaximal, characteristic, complemented
2C2×C5×#442C211yesmaximal, characteristic
3C5×#2454C211yesmaximal, characteristic, complemented
4C5×D4×C4⋊C4C211yesmaximal, characteristic, complemented
5C5×#2093C211yesmaximal, characteristic, complemented
6C5×#2084C211yesmaximal, characteristic, complemented
7C5×#2065C211yesmaximal, characteristic, complemented
8C5×#2059C211yesmaximal, characteristic, complemented
9C5×#1944C211yesmaximal, characteristic, complemented
10C5×#1917C211yesmaximal, characteristic, complemented
11C5×#1879C211yesmaximal, characteristic
12C5×#1879C211yesmaximal, characteristic
13C5×#1864C211yesmaximal, characteristic, complemented
14C5×#1864C211yesmaximal, characteristic, complemented
15C5×#1862C211yesmaximal, characteristic, complemented
16C22×C5×D8C2211yescharacteristic
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×C4×C5×D4C2211yescharacteristic
22C22×C5×C4⋊C4—21no—
23C5×#478—24no—
24C5×#442—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×#106C2211yescharacteristic
29C2×C5×#106C2211yescharacteristic
30C2×C5×C4⋊C8C2211yescharacteristic
31C2×C5×#102C2211yescharacteristic
32C2×C5×#102C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×#97C2211yescharacteristic
38C5×#399—21no—
39C5×#396—21no—
40C5×#390C2211yescharacteristic
41C5×#390C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#389C2211yescharacteristic
46C5×#385—21no—
47C5×#385—21no—
48C5×#385—21no—
49C5×#384C2211yescharacteristic
50C5×#380—21no—
51C5×#380—21no—
52C4×C5×C4⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26390C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×D4C2311yescharacteristic
63C22×C5×D4C2311yescharacteristic
64C23×C4×C5—21no—
65C23×C4×C5—21no—
66C23×C4×C5—21no—
67C23×C4×C5—21no—
68C2×C5×D8—22no—
69C2×C5×D8—22no—
70C2×C5×D8Q814yes—
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C5×#125—22no—
76C5×#125—41no—
77C4×C5×D4—22no—
78C4×C5×D4—22no—
79C4×C5×D4—22no—
80C4×C5×D4—22no—
81C4×C5×D4—22no—
82C4×C5×D4—41no—
83C4×C5×D4—41no—
84C4×C5×D4—41no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
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—44no—
94C2×C5×C4⋊C4D411yescharacteristic
95C2×C5×C4⋊C4D411yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
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×C5×C22⋊C4—21no—
108C2×C5×C22⋊C4—21no—
109C2×C5×C22⋊C4—21no—
110C2×C42×C5C2311yescharacteristic
111C2×C42×C5C2311yescharacteristic
112C2×C42×C5C2311yescharacteristic
113C5×#107—22no—
114C5×#107—41no—
115C5×#106—22no—
116C5×#106—22no—
117C5×#106—22no—
118C5×C4⋊C8—22no—
119C5×#102—22no—
120C5×#102—22no—
121C5×#102—22no—
122C5×#102—22no—
123C5×#102—41no—
124C5×#102D414yes—
125C5×#97—22no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95D411yescharacteristic
131C5×#95D411yescharacteristic
132C2×#478C2×C511yescharacteristic, complemented
133C2×#442C2×C511yescharacteristic
134#2454C2×C511yescharacteristic, complemented
135D4×C4⋊C4C2×C511yescharacteristic, complemented
136#2093C2×C511yescharacteristic, complemented
137#2084C2×C511yescharacteristic, complemented
138#2065C2×C511yescharacteristic, complemented
139#2059C2×C511yescharacteristic, complemented
140#1944C2×C511yescharacteristic, complemented
141#1917C2×C511yescharacteristic, complemented
142#1879C2×C511yescharacteristic
143#1879C2×C511yescharacteristic
144#1864C2×C511yescharacteristic, complemented
145#1864C2×C511yescharacteristic, complemented
146#1862C2×C511yescharacteristic, complemented
147C24×C5—21no—
148C24×C5—21no—
149C2×C5×D4—21no—
150C2×C5×D4—21no—
151C2×C5×D4—21no—
152C2×C5×D4—21no—
153C2×C5×D4—21no—
154C2×C5×D4—21no—
155C2×C5×D4—21no—
156C2×C5×D4—21no—
157C2×C5×D4C2×D412yes—
158C2×C5×D4C2×Q812yes—
159C2×C5×D4C2×Q812yes—
160C2×C5×D4#4112yes—
161C22×C4×C5—24no—
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—42no—
169C22×C4×C5—42no—
170C22×C4×C5—42no—
171C22×C4×C5—42no—
172C22×C4×C5—42no—
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×D411yescharacteristic
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2411yescharacteristic
186C5×D8—28no—
187C2×C5×C8—21no—
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×C8C2×D412yes—
198C2×C5×C8C2×Q812yes—
199C5×C4⋊C4—22no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
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—41no—
211C5×C4⋊C4—42no—
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⋊C4C2×D412yes—
220C5×C4⋊C4#4112yes—
221C5×C22⋊C4—24no—
222C5×C22⋊C4—42no—
223C5×C22⋊C4—42no—
224C5×C22⋊C4—42no—
225C5×C22⋊C4—42no—
226C5×C22⋊C4—81no—
227C5×C22⋊C4—81no—
228C5×C22⋊C4—81no—
229C42×C5—21no—
230C42×C5—21no—
231C42×C5—21no—
232C42×C5—21no—
233C42×C5—21no—
234C42×C5—21no—
235C22×D8C22×C511yescharacteristic
236C2×#125C22×C511yescharacteristic
237C2×C4×D4C22×C511yescharacteristic
238C2×C4×D4C22×C511yescharacteristic
239C2×C4×D4C22×C511yescharacteristic
240C2×C4×D4C22×C511yescharacteristic
241C22×C4⋊C4—21no—
242#478—24no—
243#442—24no—
244C2×#107C22×C511yescharacteristic
245C2×#107C22×C511yescharacteristic
246C2×#106C22×C511yescharacteristic
247C2×#106C22×C511yescharacteristic
248C2×#106C22×C511yescharacteristic
249C2×C4⋊C8C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#102C22×C511yescharacteristic
253C2×#102C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×#102C22×C511yescharacteristic
256C2×#97C22×C511yescharacteristic
257#399—21no—
258#396—21no—
259#390C22×C511yescharacteristic
260#390C22×C511yescharacteristic
261#389C22×C511yescharacteristic
262#389C22×C511yescharacteristic
263#389C22×C511yescharacteristic
264#389C22×C511yescharacteristic
265#385—21no—
266#385—21no—
267#385—21no—
268#384C22×C511yescharacteristic
269#380—21no—
270#380—21no—
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—22no—
282C23×C5—22no—
283C23×C5—22no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5—41no—
292C23×C5—41no—
293C23×C5—41no—
294C23×C5C22×D411yescharacteristic
295C5×D4—22no—
296C5×D4—22no—
297C5×D4—22no—
298C5×D4—22no—
299C5×D4—22no—
300C5×D4—41no—
301C5×D4—41no—
302C5×D4C22⋊Q814yes—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—22no—
312C2×C4×C5—21no—
313C2×C4×C5—21no—
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—21no—
321C2×C4×C5—21no—
322C2×C4×C5—48no—
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—41no—
338C2×C4×C5—41no—
339C2×C4×C5—84no—
340C2×C4×C5—84no—
341C2×C4×C5—84no—
342C2×C4×C5AGL(1,ℤ/8)12yes—
343C2×C4×C5C22×D411yescharacteristic
344C2×C4×C5C22×Q811yescharacteristic
345C2×C4×C5C2×#4111yescharacteristic
346C2×C4×C5C2×#4111yescharacteristic
347C2×C4×C5H(5,𝔽2)11yescharacteristic
348C2×C4×C52−1+411yescharacteristic
349C5×C8—22no—
350C5×C8—22no—
351C5×C8—41no—
352C5×C8—41no—
353C22×D4C23×C511yescharacteristic
354C22×D4C23×C511yescharacteristic
355C23×C4—21no—
356C23×C4—21no—
357C23×C4—21no—
358C23×C4—21no—
359C2×D8—22no—
360C2×D8—22no—
361C2×D8C5×Q814yes—
362C22×C8C23×C511yescharacteristic
363C22×C8C23×C511yescharacteristic
364C22×C8C23×C511yescharacteristic
365C22×C8C23×C511yescharacteristic
366#125—22no—
367#125—41no—
368C4×D4—22no—
369C4×D4—22no—
370C4×D4—22no—
371C4×D4—22no—
372C4×D4—22no—
373C4×D4—41no—
374C4×D4—41no—
375C4×D4—41no—
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—21no—
384C2×C4⋊C4—44no—
385C2×C4⋊C4C5×D411yescharacteristic
386C2×C4⋊C4C5×D411yescharacteristic
387C2×C4⋊C4C23×C511yescharacteristic
388C2×C4⋊C4C23×C511yescharacteristic
389C2×C4⋊C4C23×C511yescharacteristic
390C2×C4⋊C4C23×C511yescharacteristic
391C2×C4⋊C4C23×C511yescharacteristic
392C2×C4⋊C4C23×C511yescharacteristic
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C42C23×C511yescharacteristic
402C2×C42C23×C511yescharacteristic
403C2×C42C23×C511yescharacteristic
404#107—22no—
405#107—41no—
406#106—22no—
407#106—22no—
408#106—22no—
409C4⋊C8—22no—
410#102—22no—
411#102—22no—
412#102—22no—
413#102—22no—
414#102—41no—
415#102C5×D414yes—
416#97—22no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95C5×D411yescharacteristic
422#95C5×D411yescharacteristic
423C22×C5—24no—
424C22×C5—42no—
425C22×C5—42no—
426C22×C5—42no—
427C22×C5—42no—
428C22×C5—42no—
429C22×C5—42no—
430C22×C5—42no—
431C22×C5—42no—
432C22×C5—42no—
433C22×C5—81no—
434C22×C5—81no—
435C22×C5—81no—
436C22×C5—81no—
437C22×C5#52511yescharacteristic
438C22×C5D4211yescharacteristic
439C22×C5D4×Q811yescharacteristic
440C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
441C22×C5#57511yescharacteristic
442C22×C5#57611yescharacteristic
443C22×C5#57711yescharacteristic
444C4×C5—22no—
445C4×C5—42no—
446C4×C5—41no—
447C4×C5—41no—
448C4×C5—41no—
449C4×C5—42no—
450C4×C5—41no—
451C4×C5—41no—
452C4×C5—81no—
453C4×C5—81no—
454C4×C5—81no—
455C4×C5—81no—
456C4×C5C2×C22⋊Q811yescharacteristic
457C4×C5#53911yescharacteristic
458C4×C5#54711yescharacteristic
459C4×C5#55411yescharacteristic
460C24—21no—
461C24—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C2×C5×D412yes—
471C2×D4C2×C5×Q812yes—
472C2×D4C2×C5×Q812yes—
473C2×D4C5×#4112yes—
474C22×C4—24no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×C5×D411yescharacteristic
493C22×C4C2×C5×D411yescharacteristic
494C22×C4C2×C5×D411yescharacteristic
495C22×C4C2×C5×D411yescharacteristic
496C22×C4C2×C5×D411yescharacteristic
497C22×C4C2×C5×D411yescharacteristic
498C22×C4C24×C511yescharacteristic
499D8—28no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8C2×C5×D412yes—
511C2×C8C2×C5×Q812yes—
512C4⋊C4—22no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C2×C5×D412yes—
533C4⋊C4C5×#4112yes—
534C22⋊C4—24no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C2×C5—44no—
549C2×C5—82no—
550C2×C5#244911yescharacteristic
551C2×C5#311411yescharacteristic
552C2×C5#311911yescharacteristic
553C2×C5#326711yescharacteristic
554C2×C5#327411yescharacteristic
555C2×C5#338411yescharacteristic
556C2×C5#338911yescharacteristic
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23C22×C5×D411yescharacteristic
572D4—22no—
573D4—22no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4C5×C22⋊Q814yes—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—48no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4—84no—
618C2×C4—84no—
619C2×C4C5×AGL(1,ℤ/8)12yes—
620C2×C4C22×C5×D411yescharacteristic
621C2×C4C22×C5×Q811yescharacteristic
622C2×C4C2×C5×#4111yescharacteristic
623C2×C4C2×C5×#4111yescharacteristic
624C2×C4C5×H(5,𝔽2)11yescharacteristic
625C2×C4C5×2−1+411yescharacteristic
626C8—22no—
627C8—22no—
628C8—41no—
629C8—41no—
630C5#2639011yescharacteristic, direct product factor, Sylow
631C22—24no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C5×#52511yescharacteristic
646C22C5×D4211yescharacteristic
647C22C5×D4×Q811yescharacteristic
648C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
649C22C5×#57511yescharacteristic
650C22C5×#57611yescharacteristic
651C22C5×#57711yescharacteristic
652C4—22no—
653C4—41no—
654C4—41no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—42no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C2×C5×C22⋊Q811yescharacteristic
665C4C5×#53911yescharacteristic
666C4C5×#54711yescharacteristic
667C4C5×#55411yescharacteristic
668C2—44no—
669C2—82no—
670C2C5×#244911yescharacteristic
671C2C5×#311411yescharacteristic
672C2C5×#311911yescharacteristic
673C2C5×#326711yescharacteristic
674C2C5×#327411yescharacteristic
675C2C5×#338411yescharacteristic
676C2C5×#338911yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D8C22
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×#478C2semidirect
3. C5×#2454C2semidirect
4. C5×D4×C4⋊C4C2semidirect
5. C5×#2093C2semidirect
6. C5×#2084C2semidirect
7. C5×#2065C2semidirect
8. C5×#2059C2semidirect
9. C5×#1944C2semidirect
10. C5×#1917C2semidirect
13. C5×#1864C2semidirect
14. C5×#1864C2semidirect
15. C5×#1862C2semidirect
61. #26390C5direct (N × H)
132. C2×#478C2×C5semidirect
134. #2454C2×C5semidirect
135. D4×C4⋊C4C2×C5semidirect
136. #2093C2×C5semidirect
137. #2084C2×C5semidirect
138. #2065C2×C5semidirect
139. #2059C2×C5semidirect
140. #1944C2×C5semidirect
141. #1917C2×C5semidirect
144. #1864C2×C5semidirect
145. #1864C2×C5semidirect
146. #1862C2×C5semidirect
630. C5#26390direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4782
C2×C5×#4422
C5×#24542
C5×D4×C4⋊C42
C5×#20932
C5×#20842
C5×#20652
C5×#20592
C5×#19442
C5×#19172
C5×#18792
C5×#18642
C5×#18622
#263905