Finite Group Databasebeta

← C5×#34295 #11957015

Subgroups — C5×#34295 #11957015

Order 1280.

3200 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#550C211yesmaximal, characteristic
2C2×C5×#520C211yesmaximal, characteristic, complemented
3C2×C4×C5×#41C211yesmaximal, characteristic, complemented
4C5×#2366C213yesmaximal, complemented
5C5×#2363C213yesmaximal, complemented
6C5×#2361C213yesmaximal, complemented
7C5×#2352C213yesmaximal, complemented
8C5×#2351C211yesmaximal, characteristic, complemented
9C5×#2341C211yesmaximal, characteristic, complemented
10C5×#2341C211yesmaximal, characteristic, complemented
11C5×#2328C213yesmaximal, complemented
12C5×#2324C213yesmaximal, complemented
13C4×C5×#121C213yesmaximal, complemented
14C5×#2290C213yesmaximal, complemented
15C5×#2276C211yesmaximal, characteristic, complemented
16C22×C5×#41C2211yescharacteristic
17C22×C5×#41C2211yescharacteristic
18C5×#550C4116yescomplemented
19C2×C5×#127C2213yes—
20C2×C5×#121C2213yes—
21C2×C5×#121C2213yes—
22C5×#520—28no—
23C4×C5×#41—28no—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×Q8C2211yescharacteristic
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2211yescharacteristic
28C2×C4×C5×Q8C2211yescharacteristic
29C2×C4×C5×D4C2213yes—
30C2×C4×C5×D4C2213yes—
31C2×C4×C5×D4C2213yes—
32C2×C4×C5×D4C2213yes—
33C2×C4×C5×D4C2216yes—
34C2×C4×C5×D4C2213yes—
35C2×C5×#117C2213yes—
36C2×C5×#117C2213yes—
37C22×C5×C4⋊C4C2213yes—
38C22×C42×C5C2213yes—
39C5×#390C2213yes—
40C5×#390C2213yes—
41C5×#390C2216yes—
42C5×#390C2213yes—
43C5×#390C2213yes—
44C5×#389C2213yes—
45C5×#389C2213yes—
46C5×#388C2213yes—
47C5×#388C2213yes—
48C5×#388C2216yes—
49C5×#387C2211yescharacteristic
50C5×#387C2213yes—
51C5×#386C2213yes—
52C5×#386C2213yes—
53C5×#386C2216yes—
54C5×#386C2216yes—
55C5×#386C2216yes—
56C5×#385C2213yes—
57C5×#385C2213yes—
58C5×#382C2213yes—
59C5×#380C2213yes—
60C5×#380C2213yes—
61C4×C5×C4⋊C4C2213yes—
62C4×C5×C4⋊C4C2213yes—
63C4×C5×C4⋊C4C2213yes—
64C4×C5×C4⋊C4C2213yes—
65C4×C5×C22⋊C4C2213yes—
66C4×C5×C22⋊C4C2213yes—
67C4×C5×C22⋊C4C2216yes—
68C5×#376C2213yes—
69#34295C511yesmaximal, characteristic, direct product factor, Sylow
70C2×C5×#41—24no—
71C2×C5×#41—24no—
72C2×C5×#41—24no—
73C2×C5×#41—24no—
74C2×C5×#41C2×C418yescomplemented
75C2×C5×#41C2×C418yescomplemented
76C22×C5×Q8C2311yescharacteristic
77C22×C5×D4C2313yes—
78C22×C5×D4C2313yes—
79C22×C5×D4C2313yes—
80C22×C5×D4C2316yes—
81C23×C4×C5C2313yes—
82C23×C4×C5C2313yes—
83C23×C4×C5C2313yes—
84C23×C4×C5C2316yes—
85C23×C4×C5C2313yes—
86C5×#127C2×C4124yescomplemented
87C5×#121C2×C4124yescomplemented
88C5×#121C2×C4124yescomplemented
89C4×C5×Q8—24no—
90C4×C5×Q8—24no—
91C4×C5×Q8—24no—
92C4×C5×Q8C2×C418yescomplemented
93C4×C5×Q8D418yescomplemented
94C4×C5×D4—212no—
95C4×C5×D4—212no—
96C4×C5×D4—212no—
97C4×C5×D4—212no—
98C4×C5×D4—412no—
99C4×C5×D4C2×C4124yescomplemented
100C5×#117—212no—
101C5×#117—212no—
102C2×C5×C4⋊C4—212no—
103C2×C5×C4⋊C4C2313yes—
104C2×C5×C4⋊C4C2313yes—
105C2×C5×C4⋊C4C2313yes—
106C2×C5×C4⋊C4C2313yes—
107C2×C5×C4⋊C4C2311yescharacteristic
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C4⋊C4C2311yescharacteristic
112C2×C5×C4⋊C4C2313yes—
113C2×C5×C22⋊C4C2313yes—
114C2×C5×C22⋊C4C2313yes—
115C2×C5×C22⋊C4C2316yes—
116C2×C5×C22⋊C4C2313yes—
117C2×C5×C22⋊C4C2316yes—
118C2×C5×C22⋊C4C2313yes—
119C2×C5×C22⋊C4C2313yes—
120C2×C5×C22⋊C4C2313yes—
121C2×C5×C22⋊C4C2316yes—
122C2×C5×C22⋊C4C2313yes—
123C2×C5×C22⋊C4C2313yes—
124C2×C42×C5—212no—
125C2×C42×C5C2313yes—
126C2×C42×C5C2313yes—
127C2×C42×C5C2313yes—
128C2×C42×C5C2313yes—
129C2×C42×C5C2311yescharacteristic
130C2×C42×C5C2316yes—
131C2×C42×C5C2313yes—
132C2×C42×C5C2313yes—
133C5×#95C2311yescharacteristic
134C5×#95C2313yes—
135C5×#95C2313yes—
136C5×#95C2313yes—
137C5×#95C2313yes—
138C5×#95C2311yescharacteristic
139C5×#95C2311yescharacteristic
140C5×#95C2313yes—
141C5×#95C2316yes—
142C5×#95C2311yescharacteristic
143C5×#95C2313yes—
144C2×#550C2×C511yescharacteristic
145C2×#520C2×C511yescharacteristic, complemented
146C2×C4×#41C2×C511yescharacteristic, complemented
147#2366C2×C513yescomplemented
148#2363C2×C513yescomplemented
149#2361C2×C513yescomplemented
150#2352C2×C513yescomplemented
151#2351C2×C511yescharacteristic, complemented
152#2341C2×C511yescharacteristic, complemented
153#2341C2×C511yescharacteristic, complemented
154#2328C2×C513yescomplemented
155#2324C2×C513yescomplemented
156C4×#121C2×C513yescomplemented
157#2290C2×C513yescomplemented
158#2276C2×C511yescharacteristic, complemented
159C24×C5C2413yes—
160C24×C5C2413yes—
161C5×#41—232no—
162C5×#41—232no—
163C2×C5×Q8C22×C414yes—
164C2×C5×Q8C2×D414yes—
165C2×C5×Q8#4114yes—
166C2×C5×D4—26no—
167C2×C5×D4—26no—
168C2×C5×D4—26no—
169C2×C5×D4—26no—
170C2×C5×D4—46no—
171C2×C5×D4—46no—
172C2×C5×D4—43no—
173C2×C5×D4—43no—
174C2×C5×D4C22×C4112yes—
175C2×C5×D4C22×C4112yes—
176C2×C5×D4C22×C4112yes—
177C2×C5×D4C22×C4124yes—
178C22×C4×C5—26no—
179C22×C4×C5—26no—
180C22×C4×C5—26no—
181C22×C4×C5—26no—
182C22×C4×C5—26no—
183C22×C4×C5—26no—
184C22×C4×C5—26no—
185C22×C4×C5—212no—
186C22×C4×C5—43no—
187C22×C4×C5—43no—
188C22×C4×C5—43no—
189C22×C4×C5—46no—
190C22×C4×C5—46no—
191C22×C4×C5C22×C4112yes—
192C22×C4×C5C22×C4112yes—
193C22×C4×C5C2411yescharacteristic
194C22×C4×C5C2413yes—
195C22×C4×C5C2411yescharacteristic
196C22×C4×C5C2413yes—
197C22×C4×C5C2413yes—
198C22×C4×C5C2411yescharacteristic
199C22×C4×C5C2413yes—
200C22×C4×C5C2411yescharacteristic
201C22×C4×C5C2411yescharacteristic
202C22×C4×C5C2413yes—
203C22×C4×C5C2411yescharacteristic
204C22×C4×C5C2411yescharacteristic
205C22×C4×C5C2413yes—
206C5×C4⋊C4—26no—
207C5×C4⋊C4—26no—
208C5×C4⋊C4—22no—
209C5×C4⋊C4—26no—
210C5×C4⋊C4—26no—
211C5×C4⋊C4—26no—
212C5×C4⋊C4—43no—
213C5×C4⋊C4C22×C414yes—
214C5×C4⋊C4C22×C4112yes—
215C5×C4⋊C4C2×D4112yes—
216C5×C22⋊C4—26no—
217C5×C22⋊C4—212no—
218C5×C22⋊C4—26no—
219C5×C22⋊C4—26no—
220C5×C22⋊C4—43no—
221C5×C22⋊C4—46no—
222C5×C22⋊C4—43no—
223C5×C22⋊C4—43no—
224C5×C22⋊C4—46no—
225C5×C22⋊C4C22×C4112yes—
226C5×C22⋊C4C22×C4112yes—
227C42×C5—22no—
228C42×C5—26no—
229C42×C5—26no—
230C42×C5—26no—
231C42×C5—26no—
232C42×C5—46no—
233C42×C5C22×C4112yes—
234C42×C5C2×D4112yes—
235C22×#41C22×C511yescharacteristic
236C22×#41C22×C511yescharacteristic
237#550C4×C5116yescomplemented
238C2×#127C22×C513yes—
239C2×#121C22×C513yes—
240C2×#121C22×C513yes—
241#520—28no—
242C4×#41—28no—
243C2×C4×Q8C22×C511yescharacteristic
244C2×C4×Q8C22×C511yescharacteristic
245C2×C4×Q8C22×C511yescharacteristic
246C2×C4×Q8C22×C511yescharacteristic
247C2×C4×Q8C22×C511yescharacteristic
248C2×C4×D4C22×C513yes—
249C2×C4×D4C22×C513yes—
250C2×C4×D4C22×C513yes—
251C2×C4×D4C22×C513yes—
252C2×C4×D4C22×C516yes—
253C2×C4×D4C22×C513yes—
254C2×#117C22×C513yes—
255C2×#117C22×C513yes—
256C22×C4⋊C4C22×C513yes—
257C22×C42C22×C513yes—
258#390C22×C513yes—
259#390C22×C516yes—
260#390C22×C513yes—
261#390C22×C513yes—
262#390C22×C513yes—
263#389C22×C513yes—
264#389C22×C513yes—
265#388C22×C516yes—
266#388C22×C513yes—
267#388C22×C513yes—
268#387C22×C513yes—
269#387C22×C511yescharacteristic
270#386C22×C516yes—
271#386C22×C513yes—
272#386C22×C516yes—
273#386C22×C516yes—
274#386C22×C513yes—
275#385C22×C513yes—
276#385C22×C513yes—
277#382C22×C513yes—
278#380C22×C513yes—
279#380C22×C513yes—
280C4×C4⋊C4C22×C513yes—
281C4×C4⋊C4C22×C513yes—
282C4×C4⋊C4C22×C513yes—
283C4×C4⋊C4C22×C513yes—
284C4×C22⋊C4C22×C513yes—
285C4×C22⋊C4C22×C513yes—
286C4×C22⋊C4C22×C516yes—
287#376C22×C513yes—
288C23×C5—23no—
289C23×C5—23no—
290C23×C5—23no—
291C23×C5—23no—
292C23×C5—23no—
293C23×C5—23no—
294C23×C5—23no—
295C23×C5—23no—
296C23×C5—23no—
297C23×C5—23no—
298C23×C5—23no—
299C23×C5—23no—
300C23×C5C23×C416yes—
301C23×C5C23×C416yes—
302C23×C5C2511yescharacteristic
303C5×Q8C4×D4116yescomplemented
304C5×D4—224no—
305C5×D4—224no—
306C5×D4—412no—
307C5×D4—424no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—23no—
314C2×C4×C5—23no—
315C2×C4×C5—23no—
316C2×C4×C5—21no—
317C2×C4×C5—21no—
318C2×C4×C5—21no—
319C2×C4×C5—23no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
322C2×C4×C5—224no—
323C2×C4×C5—224no—
324C2×C4×C5—21no—
325C2×C4×C5—23no—
326C2×C4×C5—23no—
327C2×C4×C5—21no—
328C2×C4×C5—23no—
329C2×C4×C5—23no—
330C2×C4×C5—23no—
331C2×C4×C5—21no—
332C2×C4×C5—23no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—23no—
336C2×C4×C5—23no—
337C2×C4×C5—23no—
338C2×C4×C5—21no—
339C2×C4×C5—412no—
340C2×C4×C5—412no—
341C2×C4×C5—812no—
342C2×C4×C5C23×C412yes—
343C2×C4×C5C23×C416yes—
344C2×C4×C5C23×C412yes—
345C2×C4×C5C23×C412yes—
346C2×C4×C5C23×C416yes—
347C2×C4×C5C22×D412yes—
348C2×C4×C5C22×D416yes—
349C2×C4×C5C22×D416yes—
350C2×C4×C5C2×#4116yes—
351C2×C4×C5H(5,𝔽2)12yes—
352C2×#41—24no—
353C2×#41—24no—
354C2×#41—24no—
355C2×#41—24no—
356C2×#41C2×C4×C518yescomplemented
357C2×#41C2×C4×C518yescomplemented
358C22×Q8C23×C511yescharacteristic
359C22×D4C23×C513yes—
360C22×D4C23×C513yes—
361C22×D4C23×C516yes—
362C22×D4C23×C513yes—
363C23×C4C23×C513yes—
364C23×C4C23×C513yes—
365C23×C4C23×C513yes—
366C23×C4C23×C516yes—
367C23×C4C23×C513yes—
368#127C2×C4×C5124yescomplemented
369#121C2×C4×C5124yescomplemented
370#121C2×C4×C5124yescomplemented
371C4×Q8—24no—
372C4×Q8—24no—
373C4×Q8—24no—
374C4×Q8C2×C4×C518yescomplemented
375C4×Q8C5×D418yescomplemented
376C4×D4—212no—
377C4×D4—212no—
378C4×D4—212no—
379C4×D4—212no—
380C4×D4—412no—
381C4×D4C2×C4×C5124yescomplemented
382#117—212no—
383#117—212no—
384C2×C4⋊C4—212no—
385C2×C4⋊C4C23×C513yes—
386C2×C4⋊C4C23×C513yes—
387C2×C4⋊C4C23×C511yescharacteristic
388C2×C4⋊C4C23×C513yes—
389C2×C4⋊C4C23×C513yes—
390C2×C4⋊C4C23×C513yes—
391C2×C4⋊C4C23×C513yes—
392C2×C4⋊C4C23×C511yescharacteristic
393C2×C4⋊C4C23×C513yes—
394C2×C4⋊C4C23×C513yes—
395C2×C22⋊C4C23×C513yes—
396C2×C22⋊C4C23×C516yes—
397C2×C22⋊C4C23×C513yes—
398C2×C22⋊C4C23×C513yes—
399C2×C22⋊C4C23×C516yes—
400C2×C22⋊C4C23×C516yes—
401C2×C22⋊C4C23×C513yes—
402C2×C22⋊C4C23×C513yes—
403C2×C22⋊C4C23×C513yes—
404C2×C22⋊C4C23×C513yes—
405C2×C22⋊C4C23×C513yes—
406C2×C42—212no—
407C2×C42C23×C513yes—
408C2×C42C23×C513yes—
409C2×C42C23×C513yes—
410C2×C42C23×C513yes—
411C2×C42C23×C511yescharacteristic
412C2×C42C23×C516yes—
413C2×C42C23×C513yes—
414C2×C42C23×C513yes—
415#95C23×C511yescharacteristic
416#95C23×C513yes—
417#95C23×C513yes—
418#95C23×C513yes—
419#95C23×C513yes—
420#95C23×C511yescharacteristic
421#95C23×C511yescharacteristic
422#95C23×C513yes—
423#95C23×C516yes—
424#95C23×C511yescharacteristic
425#95C23×C513yes—
426C22×C5—26no—
427C22×C5—26no—
428C22×C5—26no—
429C22×C5—26no—
430C22×C5—26no—
431C22×C5—26no—
432C22×C5—43no—
433C22×C5—43no—
434C22×C5—43no—
435C22×C5—43no—
436C22×C5—43no—
437C22×C5—43no—
438C22×C5—43no—
439C22×C5—43no—
440C22×C5C24×C411yescharacteristic
441C22×C5C23×D411yescharacteristic
442C22×C5C22×#4111yescharacteristic
443C22×C5C2×H(5,𝔽2)11yescharacteristic
444C22×C5#58511yescharacteristic
445C22×C5#58511yescharacteristic
446C22×C5#58511yescharacteristic
447C4×C5—22no—
448C4×C5—22no—
449C4×C5—22no—
450C4×C5—26no—
451C4×C5—22no—
452C4×C5—22no—
453C4×C5—26no—
454C4×C5—41no—
455C4×C5—43no—
456C4×C5—43no—
457C4×C5—43no—
458C4×C5—41no—
459C4×C5C2×C4×D4112yes—
460C24C24×C513yes—
461C24C24×C513yes—
462#41—232no—
463#41—232no—
464C2×Q8C22×C4×C514yes—
465C2×Q8C2×C5×D414yes—
466C2×Q8C5×#4114yes—
467C2×D4—26no—
468C2×D4—26no—
469C2×D4—26no—
470C2×D4—26no—
471C2×D4—46no—
472C2×D4—46no—
473C2×D4—43no—
474C2×D4—43no—
475C2×D4C22×C4×C5112yes—
476C2×D4C22×C4×C5112yes—
477C2×D4C22×C4×C5112yes—
478C2×D4C22×C4×C5124yes—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—26no—
482C22×C4—26no—
483C22×C4—26no—
484C22×C4—26no—
485C22×C4—26no—
486C22×C4—212no—
487C22×C4—43no—
488C22×C4—43no—
489C22×C4—43no—
490C22×C4—46no—
491C22×C4—46no—
492C22×C4C22×C4×C5112yes—
493C22×C4C22×C4×C5112yes—
494C22×C4C24×C511yescharacteristic
495C22×C4C24×C513yes—
496C22×C4C24×C513yes—
497C22×C4C24×C513yes—
498C22×C4C24×C511yescharacteristic
499C22×C4C24×C511yescharacteristic
500C22×C4C24×C511yescharacteristic
501C22×C4C24×C513yes—
502C22×C4C24×C511yescharacteristic
503C22×C4C24×C511yescharacteristic
504C22×C4C24×C513yes—
505C22×C4C24×C511yescharacteristic
506C22×C4C24×C513yes—
507C4⋊C4—26no—
508C4⋊C4—26no—
509C4⋊C4—22no—
510C4⋊C4—26no—
511C4⋊C4—26no—
512C4⋊C4—26no—
513C4⋊C4—43no—
514C4⋊C4C22×C4×C514yes—
515C4⋊C4C22×C4×C5112yes—
516C4⋊C4C2×C5×D4112yes—
517C22⋊C4—26no—
518C22⋊C4—212no—
519C22⋊C4—26no—
520C22⋊C4—26no—
521C22⋊C4—46no—
522C22⋊C4—43no—
523C22⋊C4—46no—
524C22⋊C4—43no—
525C22⋊C4—43no—
526C22⋊C4C22×C4×C5112yes—
527C22⋊C4C22×C4×C5112yes—
528C42—22no—
529C42—26no—
530C42—26no—
531C42—26no—
532C42—26no—
533C42—46no—
534C42C22×C4×C5112yes—
535C42C2×C5×D4112yes—
536C2×C5—46no—
537C2×C5—46no—
538C2×C5C22×C4×D411yescharacteristic
539C2×C5#342811yescharacteristic
540C2×C5C4×H(5,𝔽2)11yescharacteristic
541C2×C5#348711yescharacteristic
542C2×C5#348811yescharacteristic
543C2×C5#351711yescharacteristic
544C2×C5#352411yescharacteristic
545C23—23no—
546C23—23no—
547C23—23no—
548C23—23no—
549C23—23no—
550C23—23no—
551C23—23no—
552C23—23no—
553C23—23no—
554C23—23no—
555C23—23no—
556C23—23no—
557C23C23×C4×C516yes—
558C23C23×C4×C516yes—
559C23C25×C511yescharacteristic
560Q8C4×C5×D4116yescomplemented
561D4—224no—
562D4—224no—
563D4—412no—
564D4—424no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—23no—
571C2×C4—23no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—21no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—21no—
585C2×C4—23no—
586C2×C4—23no—
587C2×C4—23no—
588C2×C4—21no—
589C2×C4—23no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—23no—
593C2×C4—23no—
594C2×C4—23no—
595C2×C4—21no—
596C2×C4—412no—
597C2×C4—412no—
598C2×C4—812no—
599C2×C4C23×C4×C512yes—
600C2×C4C23×C4×C516yes—
601C2×C4C23×C4×C512yes—
602C2×C4C23×C4×C512yes—
603C2×C4C23×C4×C516yes—
604C2×C4C22×C5×D412yes—
605C2×C4C22×C5×D416yes—
606C2×C4C22×C5×D416yes—
607C2×C4C2×C5×#4116yes—
608C2×C4C5×H(5,𝔽2)12yes—
609C5#3429511yescharacteristic, direct product factor, Sylow
610C22—26no—
611C22—26no—
612C22—26no—
613C22—26no—
614C22—26no—
615C22—26no—
616C22—43no—
617C22—43no—
618C22—43no—
619C22—43no—
620C22—43no—
621C22—43no—
622C22—43no—
623C22—43no—
624C22C24×C4×C511yescharacteristic
625C22C23×C5×D411yescharacteristic
626C22C22×C5×#4111yescharacteristic
627C22C2×C5×H(5,𝔽2)11yescharacteristic
628C22C5×#58511yescharacteristic
629C22C5×#58511yescharacteristic
630C22C5×#58511yescharacteristic
631C4—22no—
632C4—22no—
633C4—22no—
634C4—26no—
635C4—22no—
636C4—22no—
637C4—26no—
638C4—43no—
639C4—41no—
640C4—43no—
641C4—43no—
642C4—41no—
643C4C2×C4×C5×D4112yes—
644C2—46no—
645C2—46no—
646C2C22×C4×C5×D411yescharacteristic
647C2C5×#342811yescharacteristic
648C2C4×C5×H(5,𝔽2)11yescharacteristic
649C2C5×#348711yescharacteristic
650C2C5×#348811yescharacteristic
651C2C5×#351711yescharacteristic
652C2C5×#352411yescharacteristic
subgroupG/H
center, socleC23×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC23C25×C5
prime radicalC2×C5×#550C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#520C2semidirect
3. C2×C4×C5×#41C2semidirect
4. C5×#2366C2semidirect
5. C5×#2363C2semidirect
6. C5×#2361C2semidirect
7. C5×#2352C2semidirect
8. C5×#2351C2semidirect
9. C5×#2341C2semidirect
10. C5×#2341C2semidirect
11. C5×#2328C2semidirect
12. C5×#2324C2semidirect
13. C4×C5×#121C2semidirect
14. C5×#2290C2semidirect
15. C5×#2276C2semidirect
18. C5×#550C4semidirect
69. #34295C5direct (N × H)
74. C2×C5×#41C2×C4semidirect
75. C2×C5×#41C2×C4semidirect
86. C5×#127C2×C4semidirect
87. C5×#121C2×C4semidirect
88. C5×#121C2×C4semidirect
92. C4×C5×Q8C2×C4semidirect
93. C4×C5×Q8D4semidirect
99. C4×C5×D4C2×C4semidirect
145. C2×#520C2×C5semidirect
146. C2×C4×#41C2×C5semidirect
147. #2366C2×C5semidirect
148. #2363C2×C5semidirect
149. #2361C2×C5semidirect
150. #2352C2×C5semidirect
151. #2351C2×C5semidirect
152. #2341C2×C5semidirect
153. #2341C2×C5semidirect
154. #2328C2×C5semidirect
155. #2324C2×C5semidirect
156. C4×#121C2×C5semidirect
157. #2290C2×C5semidirect
158. #2276C2×C5semidirect
237. #550C4×C5semidirect
303. C5×Q8C4×D4semidirect
356. C2×#41C2×C4×C5semidirect
357. C2×#41C2×C4×C5semidirect
368. #127C2×C4×C5semidirect
369. #121C2×C4×C5semidirect
370. #121C2×C4×C5semidirect
374. C4×Q8C2×C4×C5semidirect
375. C4×Q8C5×D4semidirect
381. C4×D4C2×C4×C5semidirect
560. Q8C4×C5×D4semidirect
609. C5#34295direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5502
C2×C5×#5202
C2×C4×C5×#412
C5×#23662
C5×#23632
C5×#23612
C5×#23522
C5×#23512
C5×#23412
C5×#23282
C5×#23242
C4×C5×#1212
C5×#22902
C5×#22762
#342955