Finite Group Databasebeta

← C5×#29769 #11952489

Subgroups — C5×#29769 #11952489

Order 1280.

808 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#485C211yesmaximal, characteristic, complemented
2C2×C5×#482C211yesmaximal, characteristic
3C5×#2620C211yesmaximal, characteristic
4C5×#2317C211yesmaximal, characteristic, complemented
5C5×#2084C211yesmaximal, characteristic, complemented
6C5×#2083C211yesmaximal, characteristic, complemented
7C5×#2068C211yesmaximal, characteristic, complemented
8C5×#2067C211yesmaximal, characteristic, complemented
9C5×#2066C211yesmaximal, characteristic, complemented
10C5×#2065C211yesmaximal, characteristic, complemented
11C5×#2042C211yesmaximal, characteristic, complemented
12C5×#2042C211yesmaximal, characteristic, complemented
13C5×#1874C211yesmaximal, characteristic
14C5×#1872C211yesmaximal, characteristic, complemented
15C5×#1798C211yesmaximal, characteristic, complemented
16C2×C5×#124C2211yescharacteristic
17C2×C5×C22⋊Q8C2211yescharacteristic
18C2×C5×#121C2211yescharacteristic
19C2×C5×#117C2211yescharacteristic
20C2×C5×#117C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C5×#485—24no—
23C5×#482—24no—
24C2×C5×#107C2211yescharacteristic
25C2×C5×#107C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×C4⋊C8C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×#102C2211yescharacteristic
38C2×C5×C22⋊C8C2211yescharacteristic
39C2×C5×C22⋊C8C2211yescharacteristic
40C5×#396—21no—
41C5×#396—21no—
42C5×#394—21no—
43C5×#394—21no—
44C5×#391C2211yescharacteristic
45C5×#390C2211yescharacteristic
46C5×#389C2211yescharacteristic
47C5×#389C2211yescharacteristic
48C5×#389C2211yescharacteristic
49C5×#389C2211yescharacteristic
50C5×#385—21no—
51C5×#385—21no—
52C5×#384—21no—
53C5×#384C2211yescharacteristic
54C5×#382—21no—
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#29769C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×D4—21no—
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C22×C5×C8C2311yescharacteristic
68C22×C5×C8C2311yescharacteristic
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C5×#124—41no—
72C5×#124—41no—
73C5×C22⋊Q8—22no—
74C5×C22⋊Q8—22no—
75C5×#121—22no—
76C5×#121—22no—
77C5×#117—22no—
78C5×#117—41no—
79C5×#117—41no—
80C5×#117D414yes—
81C2×C5×C4⋊C4—21no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4—21no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—41no—
90C2×C5×C4⋊C4—41no—
91C2×C5×C4⋊C4D411yescharacteristic
92C2×C5×C4⋊C4D411yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
105C2×C5×C22⋊C4—21no—
106C2×C5×C22⋊C4D411yescharacteristic
107C2×C5×C22⋊C4D411yescharacteristic
108C2×C42×C5—21no—
109C2×C42×C5C2311yescharacteristic
110C2×C42×C5C2311yescharacteristic
111C5×#107—22no—
112C5×#107—22no—
113C5×#106—22no—
114C5×#106—22no—
115C5×C4⋊C8—41no—
116C5×C4⋊C8—41no—
117C5×#103—22no—
118C5×#103—22no—
119C5×#103—41no—
120C5×#103—41no—
121C5×#102—22no—
122C5×#102—22no—
123C5×#102—41no—
124C5×#102—41no—
125C5×C22⋊C8—22no—
126C5×C22⋊C8—22no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95—21no—
132C5×#95—21no—
133C2×#485C2×C511yescharacteristic, complemented
134C2×#482C2×C511yescharacteristic
135#2620C2×C511yescharacteristic
136#2317C2×C511yescharacteristic, complemented
137#2084C2×C511yescharacteristic, complemented
138#2083C2×C511yescharacteristic, complemented
139#2068C2×C511yescharacteristic, complemented
140#2067C2×C511yescharacteristic, complemented
141#2066C2×C511yescharacteristic, complemented
142#2065C2×C511yescharacteristic, complemented
143#2042C2×C511yescharacteristic, complemented
144#2042C2×C511yescharacteristic, complemented
145#1874C2×C511yescharacteristic
146#1872C2×C511yescharacteristic, complemented
147#1798C2×C511yescharacteristic, complemented
148C24×C5—21no—
149C24×C5C2×D411yescharacteristic
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×D4—21no—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4—42no—
163C2×C5×D4—81no—
164C2×C5×D4—81no—
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—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—42no—
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×D412yes—
185C22×C4×C5#4112yes—
186C22×C4×C5C2411yescharacteristic
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×C8—21no—
198C2×C5×C8—21no—
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—41no—
210C5×C4⋊C4—41no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—42no—
213C5×C4⋊C4—81no—
214C5×C4⋊C4—81no—
215C5×C4⋊C4—81no—
216C5×C4⋊C4—81no—
217C5×C4⋊C4—81no—
218C5×C4⋊C4—81no—
219C5×C4⋊C4C2×D412yes—
220C5×C4⋊C4C2×D412yes—
221C5×C22⋊C4—24no—
222C5×C22⋊C4—41no—
223C5×C22⋊C4—41no—
224C5×C22⋊C4—42no—
225C5×C22⋊C4—42no—
226C5×C22⋊C4—42no—
227C5×C22⋊C4—42no—
228C5×C22⋊C4—81no—
229C5×C22⋊C4—81no—
230C42×C5—24no—
231C42×C5—21no—
232C42×C5—21no—
233C42×C5—21no—
234C42×C5—21no—
235C2×#124C22×C511yescharacteristic
236C2×C22⋊Q8C22×C511yescharacteristic
237C2×#121C22×C511yescharacteristic
238C2×#117C22×C511yescharacteristic
239C2×#117C22×C511yescharacteristic
240C22×C4⋊C4C22×C511yescharacteristic
241#485—24no—
242#482—24no—
243C2×#107C22×C511yescharacteristic
244C2×#107C22×C511yescharacteristic
245C2×#106C22×C511yescharacteristic
246C2×#106C22×C511yescharacteristic
247C2×C4⋊C8C22×C511yescharacteristic
248C2×C4⋊C8C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×#103C22×C511yescharacteristic
252C2×#103C22×C511yescharacteristic
253C2×#102C22×C511yescharacteristic
254C2×#102C22×C511yescharacteristic
255C2×#102C22×C511yescharacteristic
256C2×#102C22×C511yescharacteristic
257C2×C22⋊C8C22×C511yescharacteristic
258C2×C22⋊C8C22×C511yescharacteristic
259#396—21no—
260#396—21no—
261#394—21no—
262#394—21no—
263#391C22×C511yescharacteristic
264#390C22×C511yescharacteristic
265#389C22×C511yescharacteristic
266#389C22×C511yescharacteristic
267#389C22×C511yescharacteristic
268#389C22×C511yescharacteristic
269#385—21no—
270#385—21no—
271#384—21no—
272#384C22×C511yescharacteristic
273#382—21no—
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#340C22×C511yescharacteristic
277#340C22×C511yescharacteristic
278#336C22×C511yescharacteristic
279#336C22×C511yescharacteristic
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—21no—
286C23×C5—41no—
287C23×C5—41no—
288C23×C5—41no—
289C23×C5—41no—
290C23×C5—41no—
291C23×C5—41no—
292C23×C5—41no—
293C23×C5#12112yes—
294C23×C5C22×D411yescharacteristic
295C5×Q8—41no—
296C5×Q8—41no—
297C5×Q8—41no—
298C5×Q8—41no—
299C5×D4—41no—
300C5×D4—41no—
301C5×D4—41no—
302C5×D4—41no—
303C5×D4—84no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—22no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
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—21no—
323C2×C4×C5—21no—
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—41no—
340C2×C4×C5—41no—
341C2×C4×C5—41no—
342C2×C4×C5—41no—
343C2×C4×C5—84no—
344C2×C4×C5#12112yes—
345C2×C4×C5C22×D411yescharacteristic
346C2×C4×C5C2×#4111yescharacteristic
347C2×C4×C5H(5,𝔽2)11yescharacteristic
348C2×C4×C5H(5,𝔽2)11yescharacteristic
349C2×C4×C52−1+411yescharacteristic
350C2×C4×C52−1+411yescharacteristic
351C5×C8—41no—
352C5×C8—41no—
353C5×C8—41no—
354C5×C8—41no—
355C22×Q8C23×C511yescharacteristic
356C22×D4—21no—
357C22×D4C23×C511yescharacteristic
358C23×C4—21no—
359C23×C4C23×C511yescharacteristic
360C22×C8C23×C511yescharacteristic
361C22×C8C23×C511yescharacteristic
362C22×C8C23×C511yescharacteristic
363C22×C8C23×C511yescharacteristic
364#124—41no—
365#124—41no—
366C22⋊Q8—22no—
367C22⋊Q8—22no—
368#121—22no—
369#121—22no—
370#117—22no—
371#117—41no—
372#117—41no—
373#117C5×D414yes—
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—41no—
383C2×C4⋊C4—41no—
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×C4⋊C4C23×C511yescharacteristic
392C2×C22⋊C4—21no—
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⋊C4C5×D411yescharacteristic
400C2×C22⋊C4C5×D411yescharacteristic
401C2×C42—21no—
402C2×C42C23×C511yescharacteristic
403C2×C42C23×C511yescharacteristic
404#107—22no—
405#107—22no—
406#106—22no—
407#106—22no—
408C4⋊C8—41no—
409C4⋊C8—41no—
410#103—22no—
411#103—22no—
412#103—41no—
413#103—41no—
414#102—22no—
415#102—22no—
416#102—41no—
417#102—41no—
418C22⋊C8—22no—
419C22⋊C8—22no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426C22×C5—22no—
427C22×C5—22no—
428C22×C5—22no—
429C22×C5—41no—
430C22×C5—41no—
431C22×C5—41no—
432C22×C5—41no—
433C22×C5—81no—
434C22×C5—81no—
435C22×C5—81no—
436C22×C5—81no—
437C22×C5—81no—
438C22×C5—81no—
439C22×C5—81no—
440C22×C5C2×#12111yescharacteristic
441C22×C5#53411yescharacteristic
442C22×C5#53611yescharacteristic
443C22×C5#57611yescharacteristic
444C22×C5#57711yescharacteristic
445C22×C5#57711yescharacteristic
446C22×C5#57811yescharacteristic
447C4×C5—22no—
448C4×C5—41no—
449C4×C5—41no—
450C4×C5—41no—
451C4×C5—41no—
452C4×C5—42no—
453C4×C5—42no—
454C4×C5—81no—
455C4×C5—81no—
456C4×C5—81no—
457C4×C5—81no—
458C4×C5—81no—
459C4×C5#53711yescharacteristic
460C4×C5#53711yescharacteristic
461C4×C5#53911yescharacteristic
462C4×C5#53911yescharacteristic
463C24—21no—
464C24C2×C5×D411yescharacteristic
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—42no—
478C2×D4—81no—
479C2×D4—81no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4C2×C5×D411yescharacteristic
495C22×C4C2×C5×D411yescharacteristic
496C22×C4C2×C5×D411yescharacteristic
497C22×C4C2×C5×D411yescharacteristic
498C22×C4C2×C5×D411yescharacteristic
499C22×C4C2×C5×D412yes—
500C22×C4C5×#4112yes—
501C22×C4C24×C511yescharacteristic
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×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—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—21no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4C2×C5×D412yes—
535C4⋊C4C2×C5×D412yes—
536C22⋊C4—24no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—24no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C2×C5—42no—
551C2×C5—161no—
552C2×C5#261811yescharacteristic
553C2×C5#304511yescharacteristic
554C2×C5#304611yescharacteristic
555C2×C5#319811yescharacteristic
556C2×C5#320111yescharacteristic
557C2×C5#324311yescharacteristic
558C2×C5#324411yescharacteristic
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C5×#12112yes—
573C23C22×C5×D411yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—84no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
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—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
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—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4C5×#12112yes—
624C2×C4C22×C5×D411yescharacteristic
625C2×C4C2×C5×#4111yescharacteristic
626C2×C4C5×H(5,𝔽2)11yescharacteristic
627C2×C4C5×H(5,𝔽2)11yescharacteristic
628C2×C4C5×2−1+411yescharacteristic
629C2×C4C5×2−1+411yescharacteristic
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C5#2976911yescharacteristic, direct product factor, Sylow
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C5×#12111yescharacteristic
650C22C5×#53411yescharacteristic
651C22C5×#53611yescharacteristic
652C22C5×#57611yescharacteristic
653C22C5×#57711yescharacteristic
654C22C5×#57711yescharacteristic
655C22C5×#57811yescharacteristic
656C4—22no—
657C4—42no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C5×#53711yescharacteristic
669C4C5×#53711yescharacteristic
670C4C5×#53911yescharacteristic
671C4C5×#53911yescharacteristic
672C2—42no—
673C2—161no—
674C2C5×#261811yescharacteristic
675C2C5×#304511yescharacteristic
676C2C5×#304611yescharacteristic
677C2C5×#319811yescharacteristic
678C2C5×#320111yescharacteristic
679C2C5×#324311yescharacteristic
680C2C5×#324411yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC2×C5×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C2×C5×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#485C2semidirect
4. C5×#2317C2semidirect
5. C5×#2084C2semidirect
6. C5×#2083C2semidirect
7. C5×#2068C2semidirect
8. C5×#2067C2semidirect
9. C5×#2066C2semidirect
10. C5×#2065C2semidirect
11. C5×#2042C2semidirect
12. C5×#2042C2semidirect
14. C5×#1872C2semidirect
15. C5×#1798C2semidirect
61. #29769C5direct (N × H)
133. C2×#485C2×C5semidirect
136. #2317C2×C5semidirect
137. #2084C2×C5semidirect
138. #2083C2×C5semidirect
139. #2068C2×C5semidirect
140. #2067C2×C5semidirect
141. #2066C2×C5semidirect
142. #2065C2×C5semidirect
143. #2042C2×C5semidirect
144. #2042C2×C5semidirect
146. #1872C2×C5semidirect
147. #1798C2×C5semidirect
634. C5#29769direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4852
C2×C5×#4822
C5×#26202
C5×#23172
C5×#20842
C5×#20832
C5×#20682
C5×#20672
C5×#20662
C5×#20652
C5×#20422
C5×#18742
C5×#18722
C5×#17982
#297695