Finite Group Databasebeta

← C5×#23709 #11946429

Subgroups — C5×#23709 #11946429

Order 1280.

874 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×#441C211yesmaximal, characteristic, complemented
2C2×C5×#432C211yesmaximal, characteristic
3C4×C5×C22⋊Q8C211yesmaximal, characteristic
4C4×C5×C22⋊Q8C211yesmaximal, characteristic
5C5×#2088C211yesmaximal, characteristic, complemented
6C5×#2077C211yesmaximal, characteristic
7C5×#2068C211yesmaximal, characteristic, complemented
8C5×#2066C211yesmaximal, characteristic, complemented
9C5×#2056C211yesmaximal, characteristic, complemented
10C5×#2036C211yesmaximal, characteristic
11C5×#2035C211yesmaximal, characteristic
12C5×#2001C211yesmaximal, characteristic
13C5×#1776C211yesmaximal, characteristic, complemented
14C5×#1763C211yesmaximal, characteristic, complemented
15C5×#1763C211yesmaximal, characteristic, complemented
16C22×C5×Q16C2211yescharacteristic
17C2×C5×C22⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C22×C42×C5C2211yescharacteristic
22C5×#441—24no—
23C5×#432—24no—
24C2×C5×#107C2211yescharacteristic
25C2×C5×#106C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×C4⋊C8C2211yescharacteristic
28C2×C5×C4⋊C8C2211yescharacteristic
29C2×C5×#103C2211yescharacteristic
30C2×C5×#103C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#103C2211yescharacteristic
35C2×C5×C22⋊C8C2211yescharacteristic
36C2×C5×C22⋊C8C2211yescharacteristic
37C2×C5×#97C2211yescharacteristic
38C2×C5×#97C2211yescharacteristic
39C5×#391C2211yescharacteristic
40C5×#391C2211yescharacteristic
41C5×#389C2211yescharacteristic
42C5×#389C2211yescharacteristic
43C5×#387—21no—
44C5×#387—21no—
45C5×#385—21no—
46C5×#385—21no—
47C5×#380C2211yescharacteristic
48C5×#380C2211yescharacteristic
49C4×C5×C4⋊C4—21no—
50C4×C5×C4⋊C4—21no—
51C4×C5×C4⋊C4C2211yescharacteristic
52C4×C5×C4⋊C4C2211yescharacteristic
53C4×C5×C22⋊C4—21no—
54C4×C5×C22⋊C4—21no—
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#340C2211yescharacteristic
60C5×#340C2211yescharacteristic
61#23709C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8C2311yescharacteristic
63C22×C5×Q8C2311yescharacteristic
64C23×C4×C5D411yescharacteristic
65C23×C4×C5D411yescharacteristic
66C23×C4×C5C2311yescharacteristic
67C2×C5×Q16—22no—
68C2×C5×Q16—22no—
69C2×C5×Q16—22no—
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C5×C22⋊Q8—22no—
75C5×C22⋊Q8—22no—
76C5×C22⋊Q8—22no—
77C5×C22⋊Q8—22no—
78C4×C5×Q8—22no—
79C4×C5×Q8—22no—
80C4×C5×Q8—22no—
81C4×C5×Q8—22no—
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⋊C4C2311yescharacteristic
89C2×C5×C4⋊C4C2311yescharacteristic
90C2×C5×C4⋊C4C2311yescharacteristic
91C2×C5×C4⋊C4C2311yescharacteristic
92C2×C5×C4⋊C4C2311yescharacteristic
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C22⋊C4—21no—
95C2×C5×C22⋊C4—21no—
96C2×C5×C22⋊C4—21no—
97C2×C5×C22⋊C4—21no—
98C2×C42×C5—22no—
99C2×C42×C5—22no—
100C2×C42×C5—21no—
101C2×C42×C5—21no—
102C2×C42×C5—21no—
103C2×C42×C5—21no—
104C2×C42×C5D411yescharacteristic
105C2×C42×C5D411yescharacteristic
106C2×C42×C5C2311yescharacteristic
107C2×C42×C5C2311yescharacteristic
108C5×#107—22no—
109C5×#106—22no—
110C5×#106—22no—
111C5×C4⋊C8—22no—
112C5×C4⋊C8—22no—
113C5×#103—22no—
114C5×#103—22no—
115C5×#103—22no—
116C5×#103—22no—
117C5×#103—22no—
118C5×#103—22no—
119C5×C22⋊C8—22no—
120C5×C22⋊C8—22no—
121C5×#97—22no—
122C5×#97D414yes—
123C5×#95—21no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95—21no—
131C5×#95—21no—
132C5×#95—21no—
133C2×#441C2×C511yescharacteristic, complemented
134C2×#432C2×C511yescharacteristic
135C4×C22⋊Q8C2×C511yescharacteristic
136C4×C22⋊Q8C2×C511yescharacteristic
137#2088C2×C511yescharacteristic, complemented
138#2077C2×C511yescharacteristic
139#2068C2×C511yescharacteristic, complemented
140#2066C2×C511yescharacteristic, complemented
141#2056C2×C511yescharacteristic, complemented
142#2036C2×C511yescharacteristic
143#2035C2×C511yescharacteristic
144#2001C2×C511yescharacteristic
145#1776C2×C511yescharacteristic, complemented
146#1763C2×C511yescharacteristic, complemented
147#1763C2×C511yescharacteristic, complemented
148C24×C5C2×D411yescharacteristic
149C2×C5×Q8—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#4112yes—
160C2×C5×Q8#4112yes—
161C22×C4×C5—22no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—22no—
167C22×C4×C5—22no—
168C22×C4×C5—22no—
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—21no—
177C22×C4×C5—21no—
178C22×C4×C5—21no—
179C22×C4×C5—41no—
180C22×C4×C5—41no—
181C22×C4×C5C2×D411yescharacteristic
182C22×C4×C5C2×D411yescharacteristic
183C22×C4×C5C2×D411yescharacteristic
184C22×C4×C5C2×D411yescharacteristic
185C22×C4×C5C2×D411yescharacteristic
186C22×C4×C5C2411yescharacteristic
187C5×Q16—28no—
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×C8C2×D412yes—
199C2×C5×C8C2×D412yes—
200C5×C4⋊C4—24no—
201C5×C4⋊C4—24no—
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—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—42no—
213C5×C4⋊C4—42no—
214C5×C4⋊C4—42no—
215C5×C4⋊C4—42no—
216C5×C4⋊C4#4112yes—
217C5×C4⋊C4#4112yes—
218C5×C22⋊C4—24no—
219C5×C22⋊C4—24no—
220C5×C22⋊C4—42no—
221C5×C22⋊C4—42no—
222C42×C5—22no—
223C42×C5—22no—
224C42×C5—21no—
225C42×C5—21no—
226C42×C5—42no—
227C42×C5—42no—
228C42×C5—42no—
229C42×C5—42no—
230C42×C5C2×D412yes—
231C42×C5#4112yes—
232C22×Q16C22×C511yescharacteristic
233C2×C22⋊Q8C22×C511yescharacteristic
234C2×C22⋊Q8C22×C511yescharacteristic
235C2×C4×Q8C22×C511yescharacteristic
236C2×C4×Q8C22×C511yescharacteristic
237C22×C42C22×C511yescharacteristic
238#441—24no—
239#432—24no—
240C2×#107C22×C511yescharacteristic
241C2×#106C22×C511yescharacteristic
242C2×#106C22×C511yescharacteristic
243C2×C4⋊C8C22×C511yescharacteristic
244C2×C4⋊C8C22×C511yescharacteristic
245C2×#103C22×C511yescharacteristic
246C2×#103C22×C511yescharacteristic
247C2×#103C22×C511yescharacteristic
248C2×#103C22×C511yescharacteristic
249C2×#103C22×C511yescharacteristic
250C2×#103C22×C511yescharacteristic
251C2×C22⋊C8C22×C511yescharacteristic
252C2×C22⋊C8C22×C511yescharacteristic
253C2×#97C22×C511yescharacteristic
254C2×#97C22×C511yescharacteristic
255#391C22×C511yescharacteristic
256#391C22×C511yescharacteristic
257#389C22×C511yescharacteristic
258#389C22×C511yescharacteristic
259#387—21no—
260#387—21no—
261#385—21no—
262#385—21no—
263#380C22×C511yescharacteristic
264#380C22×C511yescharacteristic
265C4×C4⋊C4—21no—
266C4×C4⋊C4—21no—
267C4×C4⋊C4C22×C511yescharacteristic
268C4×C4⋊C4C22×C511yescharacteristic
269C4×C22⋊C4—21no—
270C4×C22⋊C4—21no—
271#340C22×C511yescharacteristic
272#340C22×C511yescharacteristic
273#340C22×C511yescharacteristic
274#340C22×C511yescharacteristic
275#340C22×C511yescharacteristic
276#340C22×C511yescharacteristic
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5#13712yes—
284C23×C5C22×D411yescharacteristic
285C5×Q8—22no—
286C5×Q8—22no—
287C5×Q8—22no—
288C5×Q8—22no—
289C5×Q8—41no—
290C5×Q8—41no—
291C5×Q8—41no—
292C5×Q8—41no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—44no—
310C2×C4×C5—44no—
311C2×C4×C5—41no—
312C2×C4×C5—41no—
313C2×C4×C5—41no—
314C2×C4×C5—41no—
315C2×C4×C5—41no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
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#12112yes—
336C2×C4×C5#12112yes—
337C2×C4×C5#13712yes—
338C2×C4×C5C22×D411yescharacteristic
339C2×C4×C5C2×#4111yescharacteristic
340C2×C4×C5C2×#4111yescharacteristic
341C2×C4×C5C2×#4111yescharacteristic
342C2×C4×C5C2×#4111yescharacteristic
343C2×C4×C5C2×#4111yescharacteristic
344C5×C8—22no—
345C5×C8—22no—
346C5×C8—41no—
347C5×C8—41no—
348C22×Q8C23×C511yescharacteristic
349C22×Q8C23×C511yescharacteristic
350C23×C4C5×D411yescharacteristic
351C23×C4C5×D411yescharacteristic
352C23×C4C23×C511yescharacteristic
353C2×Q16—22no—
354C2×Q16—22no—
355C2×Q16—22no—
356C22×C8C23×C511yescharacteristic
357C22×C8C23×C511yescharacteristic
358C22×C8C23×C511yescharacteristic
359C22×C8C23×C511yescharacteristic
360C22⋊Q8—22no—
361C22⋊Q8—22no—
362C22⋊Q8—22no—
363C22⋊Q8—22no—
364C4×Q8—22no—
365C4×Q8—22no—
366C4×Q8—22no—
367C4×Q8—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4C23×C511yescharacteristic
375C2×C4⋊C4C23×C511yescharacteristic
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C4⋊C4C23×C511yescharacteristic
378C2×C4⋊C4C23×C511yescharacteristic
379C2×C4⋊C4C23×C511yescharacteristic
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42C5×D411yescharacteristic
391C2×C42C5×D411yescharacteristic
392C2×C42C23×C511yescharacteristic
393C2×C42C23×C511yescharacteristic
394#107—22no—
395#106—22no—
396#106—22no—
397C4⋊C8—22no—
398C4⋊C8—22no—
399#103—22no—
400#103—22no—
401#103—22no—
402#103—22no—
403#103—22no—
404#103—22no—
405C22⋊C8—22no—
406C22⋊C8—22no—
407#97—22no—
408#97C5×D414yes—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419C22×C5—22no—
420C22×C5—22no—
421C22×C5—22no—
422C22×C5—41no—
423C22×C5—41no—
424C22×C5—41no—
425C22×C5—41no—
426C22×C5C2×#12111yescharacteristic
427C22×C5#52511yescharacteristic
428C22×C5#52511yescharacteristic
429C22×C5C2×#13711yescharacteristic
430C22×C5C2×#13711yescharacteristic
431C22×C5#57511yescharacteristic
432C22×C5#57511yescharacteristic
433C4×C5—22no—
434C4×C5—22no—
435C4×C5—22no—
436C4×C5—42no—
437C4×C5—42no—
438C4×C5—41no—
439C4×C5—42no—
440C4×C5—42no—
441C4×C5—41no—
442C4×C5—81no—
443C4×C5—81no—
444C4×C5—81no—
445C4×C5—81no—
446C4×C5#52511yescharacteristic
447C4×C5#52911yescharacteristic
448C4×C5#52911yescharacteristic
449C4×C5#53211yescharacteristic
450C24C2×C5×D411yescharacteristic
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8C5×#4112yes—
462C2×Q8C5×#4112yes—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
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—41no—
482C22×C4—41no—
483C22×C4C2×C5×D411yescharacteristic
484C22×C4C2×C5×D411yescharacteristic
485C22×C4C2×C5×D411yescharacteristic
486C22×C4C2×C5×D411yescharacteristic
487C22×C4C2×C5×D411yescharacteristic
488C22×C4C24×C511yescharacteristic
489Q16—28no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8C2×C5×D412yes—
501C2×C8C2×C5×D412yes—
502C4⋊C4—24no—
503C4⋊C4—24no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4C5×#4112yes—
519C4⋊C4C5×#4112yes—
520C22⋊C4—24no—
521C22⋊C4—24no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C42—22no—
525C42—22no—
526C42—21no—
527C42—21no—
528C42—42no—
529C42—42no—
530C42—42no—
531C42—42no—
532C42C2×C5×D412yes—
533C42C5×#4112yes—
534C2×C5—42no—
535C2×C5#239211yescharacteristic
536C2×C5#305611yescharacteristic
537C2×C5#305611yescharacteristic
538C2×C5#311111yescharacteristic
539C2×C5#311311yescharacteristic
540C2×C5#311611yescharacteristic
541C2×C5#311711yescharacteristic
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23C5×#13712yes—
549C23C22×C5×D411yescharacteristic
550Q8—22no—
551Q8—22no—
552Q8—22no—
553Q8—22no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—44no—
575C2×C4—44no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
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×C4C5×#12112yes—
601C2×C4C5×#12112yes—
602C2×C4C5×#13712yes—
603C2×C4C22×C5×D411yescharacteristic
604C2×C4C2×C5×#4111yescharacteristic
605C2×C4C2×C5×#4111yescharacteristic
606C2×C4C2×C5×#4111yescharacteristic
607C2×C4C2×C5×#4111yescharacteristic
608C2×C4C2×C5×#4111yescharacteristic
609C8—22no—
610C8—22no—
611C8—41no—
612C8—41no—
613C5#2370911yescharacteristic, direct product factor, Sylow
614C22—22no—
615C22—22no—
616C22—22no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22C2×C5×#12111yescharacteristic
622C22C5×#52511yescharacteristic
623C22C5×#52511yescharacteristic
624C22C2×C5×#13711yescharacteristic
625C22C2×C5×#13711yescharacteristic
626C22C5×#57511yescharacteristic
627C22C5×#57511yescharacteristic
628C4—22no—
629C4—22no—
630C4—22no—
631C4—41no—
632C4—42no—
633C4—42no—
634C4—41no—
635C4—42no—
636C4—42no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4C5×#52511yescharacteristic
642C4C5×#52911yescharacteristic
643C4C5×#52911yescharacteristic
644C4C5×#53211yescharacteristic
645C2—42no—
646C2C5×#239211yescharacteristic
647C2C5×#305611yescharacteristic
648C2C5×#305611yescharacteristic
649C2C5×#311111yescharacteristic
650C2C5×#311311yescharacteristic
651C2C5×#311611yescharacteristic
652C2C5×#311711yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC24×C5C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C22×C42×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#441C2semidirect
5. C5×#2088C2semidirect
7. C5×#2068C2semidirect
8. C5×#2066C2semidirect
9. C5×#2056C2semidirect
13. C5×#1776C2semidirect
14. C5×#1763C2semidirect
15. C5×#1763C2semidirect
61. #23709C5direct (N × H)
133. C2×#441C2×C5semidirect
137. #2088C2×C5semidirect
139. #2068C2×C5semidirect
140. #2066C2×C5semidirect
141. #2056C2×C5semidirect
145. #1776C2×C5semidirect
146. #1763C2×C5semidirect
147. #1763C2×C5semidirect
613. C5#23709direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4412
C2×C5×#4322
C4×C5×C22⋊Q82
C5×#20882
C5×#20772
C5×#20682
C5×#20662
C5×#20562
C5×#20362
C5×#20352
C5×#20012
C5×#17762
C5×#17632
#237095