Finite Group Databasebeta

← C5×#26352 #11949072

Subgroups — C5×#26352 #11949072

Order 1280.

904 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#474C211yesmaximal, characteristic, complemented
2C2×C5×#428C211yesmaximal, characteristic, complemented
3C5×#2439C211yesmaximal, characteristic, complemented
4C5×#2361C211yesmaximal, characteristic
5C5×#2092C211yesmaximal, characteristic, complemented
6C5×#2088C211yesmaximal, characteristic, complemented
7C5×#2067C211yesmaximal, characteristic, complemented
8C5×#2057C211yesmaximal, characteristic, complemented
9C5×#1949C211yesmaximal, characteristic, complemented
10C5×#1921C211yesmaximal, characteristic, complemented
11C5×#1895C211yesmaximal, characteristic
12C5×#1875C211yesmaximal, characteristic
13C5×#1864C211yesmaximal, characteristic, complemented
14C5×#1852C211yesmaximal, characteristic, complemented
15C5×#1851C211yesmaximal, characteristic, complemented
16C22×C5×M16C2211yescharacteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×#121C2211yescharacteristic
19C2×C4×C5×D4—21no—
20C2×C4×C5×D4C2211yescharacteristic
21C2×C5×#117C2211yescharacteristic
22C22×C5×C4⋊C4C2211yescharacteristic
23C5×#474—24no—
24C5×#428—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#107C2211yescharacteristic
28C2×C5×#107C2211yescharacteristic
29C2×C5×#106C2211yescharacteristic
30C2×C5×#106C2211yescharacteristic
31C2×C5×C4⋊C8C2211yescharacteristic
32C2×C5×C4⋊C8C2211yescharacteristic
33C2×C5×#102C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×C22⋊C8C2211yescharacteristic
38C5×#396—21no—
39C5×#393—21no—
40C5×#391—21no—
41C5×#390C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#389C2211yescharacteristic
44C5×#389C2211yescharacteristic
45C5×#388—21no—
46C5×#387—21no—
47C5×#386—21no—
48C5×#385—21no—
49C5×#382C2211yescharacteristic
50C5×#380C2211yescharacteristic
51C4×C5×C4⋊C4C2211yescharacteristic
52C4×C5×C22⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26352C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8—21no—
63C22×C5×D4—21no—
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C23×C4×C5—21no—
67C23×C4×C5C2311yescharacteristic
68C2×C5×M16—22no—
69C2×C5×M16—22no—
70C2×C5×M16—22no—
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C22×C5×C8C2311yescharacteristic
75C5×C4⋊Q8—22no—
76C5×C4⋊Q8—41no—
77C5×#121—22no—
78C5×#121Q814yescomplemented
79C4×C5×D4—22no—
80C4×C5×D4—41no—
81C4×C5×D4—44no—
82C5×#117—22no—
83C5×#117—41no—
84C2×C5×C4⋊C4—22no—
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—41no—
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C22⋊C4—21no—
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4D411yescharacteristic
105C2×C5×C22⋊C4D411yescharacteristic
106C2×C42×C5—21no—
107C2×C42×C5—21no—
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C5×#107—22no—
111C5×#107—22no—
112C5×#107—41no—
113C5×#107D414yescomplemented
114C5×#106—22no—
115C5×#106—22no—
116C5×C4⋊C8—22no—
117C5×C4⋊C8—22no—
118C5×#102—22no—
119C5×#102—22no—
120C5×#102—22no—
121C5×#102—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×#95D411yescharacteristic
131C5×#95D411yescharacteristic
132C2×#474C2×C511yescharacteristic, complemented
133C2×#428C2×C511yescharacteristic, complemented
134#2439C2×C511yescharacteristic, complemented
135#2361C2×C511yescharacteristic
136#2092C2×C511yescharacteristic, complemented
137#2088C2×C511yescharacteristic, complemented
138#2067C2×C511yescharacteristic, complemented
139#2057C2×C511yescharacteristic, complemented
140#1949C2×C511yescharacteristic, complemented
141#1921C2×C511yescharacteristic, complemented
142#1895C2×C511yescharacteristic
143#1875C2×C511yescharacteristic
144#1864C2×C511yescharacteristic, complemented
145#1852C2×C511yescharacteristic, complemented
146#1851C2×C511yescharacteristic, complemented
147C24×C5—21no—
148C24×C5C2×D411yescharacteristic
149C2×C5×Q8—42no—
150C2×C5×Q8—42no—
151C2×C5×Q8—81no—
152C2×C5×D4—24no—
153C2×C5×D4—21no—
154C2×C5×D4—21no—
155C2×C5×D4—21no—
156C2×C5×D4—21no—
157C2×C5×D4—21no—
158C2×C5×D4—42no—
159C2×C5×D4—42no—
160C2×C5×D4C2×Q812yes—
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—42no—
173C22×C4×C5—42no—
174C22×C4×C5—42no—
175C22×C4×C5—42no—
176C22×C4×C5—81no—
177C22×C4×C5—81no—
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2×D411yescharacteristic
180C22×C4×C5C2×D411yescharacteristic
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2×Q812yes—
184C22×C4×C5#4112yes—
185C22×C4×C5C2411yescharacteristic
186C5×M16—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×C8#4112yes—
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—21no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—42no—
213C5×C4⋊C4—42no—
214C5×C4⋊C4—81no—
215C5×C4⋊C4C2×D412yes—
216C5×C4⋊C4C2×D412yes—
217C5×C4⋊C4C2×Q812yes—
218C5×C22⋊C4—24no—
219C5×C22⋊C4—22no—
220C5×C22⋊C4—41no—
221C5×C22⋊C4—42no—
222C5×C22⋊C4—42no—
223C5×C22⋊C4—42no—
224C5×C22⋊C4—81no—
225C5×C22⋊C4—81no—
226C42×C5—21no—
227C42×C5—21no—
228C42×C5—21no—
229C42×C5—21no—
230C42×C5—42no—
231C42×C5—42no—
232C22×M16C22×C511yescharacteristic
233C2×C4⋊Q8C22×C511yescharacteristic
234C2×#121C22×C511yescharacteristic
235C2×C4×D4—21no—
236C2×C4×D4C22×C511yescharacteristic
237C2×#117C22×C511yescharacteristic
238C22×C4⋊C4C22×C511yescharacteristic
239#474—24no—
240#428—24no—
241C2×#107C22×C511yescharacteristic
242C2×#107C22×C511yescharacteristic
243C2×#107C22×C511yescharacteristic
244C2×#107C22×C511yescharacteristic
245C2×#106C22×C511yescharacteristic
246C2×#106C22×C511yescharacteristic
247C2×C4⋊C8C22×C511yescharacteristic
248C2×C4⋊C8C22×C511yescharacteristic
249C2×#102C22×C511yescharacteristic
250C2×#102C22×C511yescharacteristic
251C2×#102C22×C511yescharacteristic
252C2×#102C22×C511yescharacteristic
253C2×C22⋊C8C22×C511yescharacteristic
254#396—21no—
255#393—21no—
256#391—21no—
257#390C22×C511yescharacteristic
258#389C22×C511yescharacteristic
259#389C22×C511yescharacteristic
260#389C22×C511yescharacteristic
261#388—21no—
262#387—21no—
263#386—21no—
264#385—21no—
265#382C22×C511yescharacteristic
266#380C22×C511yescharacteristic
267C4×C4⋊C4C22×C511yescharacteristic
268C4×C22⋊C4C22×C511yescharacteristic
269#340C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#336C22×C511yescharacteristic
276#336C22×C511yescharacteristic
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—22no—
284C23×C5—41no—
285C23×C5—41no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5C22⋊Q812yes—
291C23×C5C22×D411yescharacteristic
292C5×Q8—84no—
293C5×D4—22no—
294C5×D4—22no—
295C5×D4—48no—
296C5×D4—41no—
297C5×D4—41no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—22no—
309C2×C4×C5—22no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
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—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—41no—
335C2×C4×C5—41no—
336C2×C4×C5—84no—
337C2×C4×C5—84no—
338C2×C4×C5C22⋊Q812yes—
339C2×C4×C5AGL(1,ℤ/8)12yes—
340C2×C4×C5C22×D411yescharacteristic
341C2×C4×C5C22×Q811yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C2×C4×C5H(5,𝔽2)11yescharacteristic
345C2×C4×C52−1+411yescharacteristic
346C5×C8—22no—
347C5×C8—22no—
348C5×C8—41no—
349C5×C8—41no—
350C22×Q8—21no—
351C22×D4—21no—
352C22×D4C23×C511yescharacteristic
353C23×C4—21no—
354C23×C4—21no—
355C23×C4C23×C511yescharacteristic
356C2×M16—22no—
357C2×M16—22no—
358C2×M16—22no—
359C22×C8C23×C511yescharacteristic
360C22×C8C23×C511yescharacteristic
361C22×C8C23×C511yescharacteristic
362C22×C8C23×C511yescharacteristic
363C4⋊Q8—22no—
364C4⋊Q8—41no—
365#121—22no—
366#121C5×Q814yescomplemented
367C4×D4—22no—
368C4×D4—41no—
369C4×D4—44no—
370#117—22no—
371#117—41no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—41no—
379C2×C4⋊C4C23×C511yescharacteristic
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C4⋊C4C23×C511yescharacteristic
382C2×C4⋊C4C23×C511yescharacteristic
383C2×C4⋊C4C23×C511yescharacteristic
384C2×C4⋊C4C23×C511yescharacteristic
385C2×C4⋊C4C23×C511yescharacteristic
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
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—41no—
401#107C5×D414yescomplemented
402#106—22no—
403#106—22no—
404C4⋊C8—22no—
405C4⋊C8—22no—
406#102—22no—
407#102—22no—
408#102—22no—
409#102—41no—
410C22⋊C8—22no—
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—41no—
424C22×C5—41no—
425C22×C5—41no—
426C22×C5—41no—
427C22×C5—42no—
428C22×C5—42no—
429C22×C5—42no—
430C22×C5—81no—
431C22×C5—81no—
432C22×C5—81no—
433C22×C5—81no—
434C22×C5C2×C22⋊Q811yescharacteristic
435C22×C5D4211yescharacteristic
436C22×C5#54711yescharacteristic
437C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
438C22×C5#57511yescharacteristic
439C22×C5#57611yescharacteristic
440C22×C5#57811yescharacteristic
441C4×C5—22no—
442C4×C5—22no—
443C4×C5—42no—
444C4×C5—41no—
445C4×C5—41no—
446C4×C5—42no—
447C4×C5—42no—
448C4×C5—41no—
449C4×C5—81no—
450C4×C5—81no—
451C4×C5—81no—
452C4×C5—81no—
453C4×C5#52511yescharacteristic
454C4×C5#53911yescharacteristic
455C4×C5D4×Q811yescharacteristic
456C4×C5#55411yescharacteristic
457C24—21no—
458C24C2×C5×D411yescharacteristic
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×D4—24no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4C2×C5×Q812yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4C2×C5×D411yescharacteristic
489C22×C4C2×C5×D411yescharacteristic
490C22×C4C2×C5×D411yescharacteristic
491C22×C4C2×C5×D411yescharacteristic
492C22×C4C2×C5×D411yescharacteristic
493C22×C4C2×C5×Q812yes—
494C22×C4C5×#4112yes—
495C22×C4C24×C511yescharacteristic
496M16—28no—
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×C8—21no—
507C2×C8C2×C5×D412yes—
508C2×C8C5×#4112yes—
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—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4C2×C5×D412yes—
526C4⋊C4C2×C5×D412yes—
527C4⋊C4C2×C5×Q812yes—
528C22⋊C4—24no—
529C22⋊C4—22no—
530C22⋊C4—41no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C42—42no—
542C2×C5—42no—
543C2×C5—82no—
544C2×C5#244911yescharacteristic
545C2×C5#307711yescharacteristic
546C2×C5#308311yescharacteristic
547C2×C5#326411yescharacteristic
548C2×C5#327711yescharacteristic
549C2×C5#334711yescharacteristic
550C2×C5#335311yescharacteristic
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C5×C22⋊Q812yes—
565C23C22×C5×D411yescharacteristic
566Q8—84no—
567D4—22no—
568D4—22no—
569D4—48no—
570D4—41no—
571D4—41no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
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—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4C5×C22⋊Q812yes—
613C2×C4C5×AGL(1,ℤ/8)12yes—
614C2×C4C22×C5×D411yescharacteristic
615C2×C4C22×C5×Q811yescharacteristic
616C2×C4C2×C5×#4111yescharacteristic
617C2×C4C2×C5×#4111yescharacteristic
618C2×C4C5×H(5,𝔽2)11yescharacteristic
619C2×C4C5×2−1+411yescharacteristic
620C8—22no—
621C8—22no—
622C8—41no—
623C8—41no—
624C5#2635211yescharacteristic, direct product factor, Sylow
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C2×C5×C22⋊Q811yescharacteristic
640C22C5×D4211yescharacteristic
641C22C5×#54711yescharacteristic
642C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
643C22C5×#57511yescharacteristic
644C22C5×#57611yescharacteristic
645C22C5×#57811yescharacteristic
646C4—22no—
647C4—22no—
648C4—42no—
649C4—42no—
650C4—41no—
651C4—42no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C5×#52511yescharacteristic
659C4C5×#53911yescharacteristic
660C4C5×D4×Q811yescharacteristic
661C4C5×#55411yescharacteristic
662C2—42no—
663C2—82no—
664C2C5×#244911yescharacteristic
665C2C5×#307711yescharacteristic
666C2C5×#308311yescharacteristic
667C2C5×#326411yescharacteristic
668C2C5×#327711yescharacteristic
669C2C5×#334711yescharacteristic
670C2C5×#335311yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
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
1. C2×C5×#474C2semidirect
2. C2×C5×#428C2semidirect
3. C5×#2439C2semidirect
5. C5×#2092C2semidirect
6. C5×#2088C2semidirect
7. C5×#2067C2semidirect
8. C5×#2057C2semidirect
9. C5×#1949C2semidirect
10. C5×#1921C2semidirect
13. C5×#1864C2semidirect
14. C5×#1852C2semidirect
15. C5×#1851C2semidirect
61. #26352C5direct (N × H)
78. C5×#121Q8semidirect
113. C5×#107D4semidirect
132. C2×#474C2×C5semidirect
133. C2×#428C2×C5semidirect
134. #2439C2×C5semidirect
136. #2092C2×C5semidirect
137. #2088C2×C5semidirect
138. #2067C2×C5semidirect
139. #2057C2×C5semidirect
140. #1949C2×C5semidirect
141. #1921C2×C5semidirect
144. #1864C2×C5semidirect
145. #1852C2×C5semidirect
146. #1851C2×C5semidirect
366. #121C5×Q8semidirect
401. #107C5×D4semidirect
624. C5#26352direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4742
C2×C5×#4282
C5×#24392
C5×#23612
C5×#20922
C5×#20882
C5×#20672
C5×#20572
C5×#19492
C5×#19212
C5×#18952
C5×#18752
C5×#18642
C5×#18522
C5×#18512
#263525