Finite Group Databasebeta

← C5×#14230 #11936950

Subgroups — C5×#14230 #11936950

Order 1280.

1822 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×#399C211yesmaximal, characteristic
2C2×C5×#389C211yesmaximal, characteristic, complemented
3C2×C5×#387C212yesmaximal, complemented
4C2×C5×#385C212yesmaximal
5C2×C4×C5×C22⋊C4C211yesmaximal, characteristic
6C5×#1445C211yesmaximal, characteristic, complemented
7C5×#1444C211yesmaximal, characteristic, complemented
8C5×#1439C211yesmaximal, characteristic
9C5×#1437C212yesmaximal
10C5×C4⋊#95C212yesmaximal, complemented
11C4×C5×#95C211yesmaximal, characteristic, complemented
12C24×C4×C5C2211yescharacteristic
13C22×C5×C4⋊C4C2212yes—
14C22×C5×C4⋊C4C2212yes—
15C22×C5×C4⋊C4C2212yes—
16C22×C5×C4⋊C4C2211yescharacteristic
17C22×C5×C4⋊C4C2211yescharacteristic
18C22×C5×C22⋊C4C2212yes—
19C22×C5×C22⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2212yes—
21C22×C5×C22⋊C4C2211yescharacteristic
22C22×C42×C5C2211yescharacteristic
23C22×C42×C5C2212yes—
24C22×C42×C5C2211yescharacteristic
25C5×#399C418yescomplemented
26C5×#389—24no—
27C5×#387—28no—
28C5×#385—28no—
29C4×C5×C22⋊C4—24no—
30C2×C5×#95C2211yescharacteristic
31C2×C5×#95C2211yescharacteristic
32C2×C5×#95C2212yes—
33C2×C5×#95C2212yes—
34C2×C5×#95C2212yes—
35C2×C5×#95C2212yes—
36C2×C5×#95C2212yes—
37C2×C5×#95C2211yescharacteristic
38C2×C5×#95C2211yescharacteristic
39C2×C5×#95C2212yes—
40#14230C511yesmaximal, characteristic, direct product factor, Sylow
41C25×C5C2311yescharacteristic
42C23×C4×C5—22no—
43C23×C4×C5—22no—
44C23×C4×C5—22no—
45C23×C4×C5—24no—
46C23×C4×C5—42no—
47C23×C4×C5C2312yes—
48C23×C4×C5C2311yescharacteristic
49C23×C4×C5C2312yes—
50C23×C4×C5C2312yes—
51C23×C4×C5C2311yescharacteristic
52C23×C4×C5C2311yescharacteristic
53C23×C4×C5C2312yes—
54C23×C4×C5C2311yescharacteristic
55C23×C4×C5C2311yescharacteristic
56C23×C4×C5C2311yescharacteristic
57C2×C5×C4⋊C4—24no—
58C2×C5×C4⋊C4—22no—
59C2×C5×C4⋊C4—24no—
60C2×C5×C4⋊C4—22no—
61C2×C5×C4⋊C4—24no—
62C2×C5×C4⋊C4—24no—
63C2×C5×C4⋊C4—24no—
64C2×C5×C4⋊C4—22no—
65C2×C5×C4⋊C4—24no—
66C2×C5×C4⋊C4—24no—
67C2×C5×C4⋊C4—42no—
68C2×C5×C4⋊C4—42no—
69C2×C5×C4⋊C4C2×C418yescomplemented
70C2×C5×C4⋊C4C2×C414yescomplemented
71C2×C5×C22⋊C4—22no—
72C2×C5×C22⋊C4—22no—
73C2×C5×C22⋊C4—24no—
74C2×C5×C22⋊C4—24no—
75C2×C5×C22⋊C4—22no—
76C2×C5×C22⋊C4—22no—
77C2×C5×C22⋊C4—24no—
78C2×C5×C22⋊C4—24no—
79C2×C5×C22⋊C4—42no—
80C2×C5×C22⋊C4C2×C414yes—
81C2×C5×C22⋊C4C2×C418yes—
82C2×C5×C22⋊C4Q814yes—
83C2×C42×C5—22no—
84C2×C42×C5—24no—
85C2×C42×C5—24no—
86C2×C42×C5—24no—
87C2×C42×C5—42no—
88C2×C42×C5—42no—
89C2×C42×C5D414yes—
90C5×#95—22no—
91C5×#95—22no—
92C5×#95—24no—
93C5×#95—24no—
94C5×#95—24no—
95C5×#95—24no—
96C5×#95—24no—
97C5×#95—22no—
98C5×#95C2×C414yescomplemented
99C5×#95D418yes—
100C2×#399C2×C511yescharacteristic
101C2×#389C2×C511yescharacteristic, complemented
102C2×#387C2×C512yescomplemented
103C2×#385C2×C512yes—
104C2×C4×C22⋊C4C2×C511yescharacteristic
105#1445C2×C511yescharacteristic, complemented
106#1444C2×C511yescharacteristic, complemented
107#1439C2×C511yescharacteristic
108#1437C2×C512yes—
109C4⋊#95C2×C512yescomplemented
110C4×#95C2×C511yescharacteristic, complemented
111C24×C5—21no—
112C24×C5—22no—
113C24×C5—21no—
114C24×C5—22no—
115C24×C5—21no—
116C24×C5—21no—
117C24×C5—22no—
118C24×C5—22no—
119C24×C5C22×C412yes—
120C24×C5C2×Q812yes—
121C24×C5#4112yes—
122C24×C5C2411yescharacteristic
123C22×C4×C5—22no—
124C22×C4×C5—22no—
125C22×C4×C5—22no—
126C22×C4×C5—21no—
127C22×C4×C5—21no—
128C22×C4×C5—22no—
129C22×C4×C5—22no—
130C22×C4×C5—22no—
131C22×C4×C5—22no—
132C22×C4×C5—22no—
133C22×C4×C5—22no—
134C22×C4×C5—28no—
135C22×C4×C5—21no—
136C22×C4×C5—21no—
137C22×C4×C5—22no—
138C22×C4×C5—22no—
139C22×C4×C5—22no—
140C22×C4×C5—22no—
141C22×C4×C5—22no—
142C22×C4×C5—22no—
143C22×C4×C5—21no—
144C22×C4×C5—22no—
145C22×C4×C5—22no—
146C22×C4×C5—21no—
147C22×C4×C5—22no—
148C22×C4×C5—21no—
149C22×C4×C5—22no—
150C22×C4×C5—22no—
151C22×C4×C5—22no—
152C22×C4×C5—22no—
153C22×C4×C5—21no—
154C22×C4×C5—22no—
155C22×C4×C5—22no—
156C22×C4×C5—22no—
157C22×C4×C5—22no—
158C22×C4×C5—22no—
159C22×C4×C5—22no—
160C22×C4×C5—22no—
161C22×C4×C5—22no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5—48no—
167C22×C4×C5—48no—
168C22×C4×C5—44no—
169C22×C4×C5—44no—
170C22×C4×C5C22×C412yes—
171C22×C4×C5C22×C414yes—
172C22×C4×C5C22×C414yes—
173C22×C4×C5C22×C412yes—
174C22×C4×C5C2×D414yes—
175C22×C4×C5C2×D412yes—
176C22×C4×C5C2×D414yes—
177C22×C4×C5C2×D412yes—
178C22×C4×C5C2×D412yes—
179C22×C4×C5C2×D414yes—
180C22×C4×C5C2×Q812yes—
181C22×C4×C5C2×Q812yes—
182C22×C4×C5#4112yes—
183C22×C4×C5#4114yes—
184C22×C4×C5#4112yes—
185C22×C4×C5#4112yes—
186C5×C4⋊C4—216no—
187C5×C4⋊C4—28no—
188C5×C4⋊C4—48no—
189C5×C4⋊C4—44no—
190C5×C4⋊C4—48no—
191C5×C22⋊C4—28no—
192C5×C22⋊C4—216no—
193C5×C22⋊C4—28no—
194C5×C22⋊C4—48no—
195C42×C5—44no—
196C42×C5—48no—
197C42×C5—44no—
198C24×C4C22×C511yescharacteristic
199C22×C4⋊C4C22×C512yes—
200C22×C4⋊C4C22×C512yes—
201C22×C4⋊C4C22×C512yes—
202C22×C4⋊C4C22×C511yescharacteristic
203C22×C4⋊C4C22×C511yescharacteristic
204C22×C22⋊C4C22×C512yes—
205C22×C22⋊C4C22×C512yes—
206C22×C22⋊C4C22×C511yescharacteristic
207C22×C22⋊C4C22×C511yescharacteristic
208C22×C42C22×C511yescharacteristic
209C22×C42C22×C512yes—
210C22×C42C22×C511yescharacteristic
211#399C4×C518yescomplemented
212#389—24no—
213#387—28no—
214#385—28no—
215C4×C22⋊C4—24no—
216C2×#95C22×C511yescharacteristic
217C2×#95C22×C511yescharacteristic
218C2×#95C22×C512yes—
219C2×#95C22×C512yes—
220C2×#95C22×C512yes—
221C2×#95C22×C512yes—
222C2×#95C22×C512yes—
223C2×#95C22×C511yescharacteristic
224C2×#95C22×C511yescharacteristic
225C2×#95C22×C512yes—
226C23×C5—24no—
227C23×C5—22no—
228C23×C5—22no—
229C23×C5—24no—
230C23×C5—22no—
231C23×C5—22no—
232C23×C5—22no—
233C23×C5—22no—
234C23×C5—24no—
235C23×C5—24no—
236C23×C5—24no—
237C23×C5—24no—
238C23×C5—41no—
239C23×C5—41no—
240C23×C5—42no—
241C23×C5—41no—
242C23×C5—41no—
243C23×C5—42no—
244C23×C5—42no—
245C23×C5—42no—
246C23×C5—42no—
247C23×C5—42no—
248C23×C5C4×Q814yes—
249C23×C5C23×C411yescharacteristic
250C23×C5C22×D411yescharacteristic
251C23×C5C22×D412yes—
252C23×C5C22×Q811yescharacteristic
253C23×C5C2×#4111yescharacteristic
254C23×C5C2×#4112yes—
255C23×C5C2×#4111yescharacteristic
256C23×C5C2×#4111yescharacteristic
257C23×C5C2×#4111yescharacteristic
258C23×C5H(5,𝔽2)12yes—
259C23×C52−1+412yes—
260C2×C4×C5—24no—
261C2×C4×C5—24no—
262C2×C4×C5—24no—
263C2×C4×C5—22no—
264C2×C4×C5—22no—
265C2×C4×C5—22no—
266C2×C4×C5—22no—
267C2×C4×C5—22no—
268C2×C4×C5—22no—
269C2×C4×C5—24no—
270C2×C4×C5—24no—
271C2×C4×C5—24no—
272C2×C4×C5—24no—
273C2×C4×C5—24no—
274C2×C4×C5—24no—
275C2×C4×C5—24no—
276C2×C4×C5—24no—
277C2×C4×C5—24no—
278C2×C4×C5—22no—
279C2×C4×C5—24no—
280C2×C4×C5—24no—
281C2×C4×C5—24no—
282C2×C4×C5—24no—
283C2×C4×C5—22no—
284C2×C4×C5—22no—
285C2×C4×C5—24no—
286C2×C4×C5—24no—
287C2×C4×C5—24no—
288C2×C4×C5—24no—
289C2×C4×C5—24no—
290C2×C4×C5—416no—
291C2×C4×C5—42no—
292C2×C4×C5—41no—
293C2×C4×C5—41no—
294C2×C4×C5—42no—
295C2×C4×C5—41no—
296C2×C4×C5—41no—
297C2×C4×C5—42no—
298C2×C4×C5—42no—
299C2×C4×C5—42no—
300C2×C4×C5—42no—
301C2×C4×C5—41no—
302C2×C4×C5—41no—
303C2×C4×C5—42no—
304C2×C4×C5—42no—
305C2×C4×C5—42no—
306C2×C4×C5—42no—
307C2×C4×C5—42no—
308C2×C4×C5—42no—
309C2×C4×C5—42no—
310C2×C4×C5—42no—
311C2×C4×C5—42no—
312C2×C4×C5—42no—
313C2×C4×C5—42no—
314C2×C4×C5—42no—
315C2×C4×C5C4×D414yes—
316C2×C4×C5C4×D418yes—
317C2×C4×C5C22⋊Q814yes—
318C2×C4×C5#12714yes—
319C25C23×C511yescharacteristic
320C23×C4—22no—
321C23×C4—22no—
322C23×C4—22no—
323C23×C4—24no—
324C23×C4—42no—
325C23×C4C23×C512yes—
326C23×C4C23×C512yes—
327C23×C4C23×C511yescharacteristic
328C23×C4C23×C512yes—
329C23×C4C23×C511yescharacteristic
330C23×C4C23×C511yescharacteristic
331C23×C4C23×C512yes—
332C23×C4C23×C511yescharacteristic
333C23×C4C23×C511yescharacteristic
334C23×C4C23×C511yescharacteristic
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—42no—
346C2×C4⋊C4—42no—
347C2×C4⋊C4C2×C4×C518yescomplemented
348C2×C4⋊C4C2×C4×C514yescomplemented
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4C2×C4×C518yes—
359C2×C22⋊C4C2×C4×C514yes—
360C2×C22⋊C4C5×Q814yes—
361C2×C42—22no—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42C5×D414yes—
368#95—22no—
369#95—22no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—22no—
376#95C2×C4×C514yescomplemented
377#95C5×D418yes—
378C22×C5—28no—
379C22×C5—24no—
380C22×C5—42no—
381C22×C5—42no—
382C22×C5—42no—
383C22×C5—42no—
384C22×C5—44no—
385C22×C5—42no—
386C22×C5—42no—
387C22×C5—44no—
388C22×C5—44no—
389C22×C5C2×C4×D411yescharacteristic
390C22×C5C2×C4×D412yes—
391C22×C5C2×C4×Q811yescharacteristic
392C22×C5C4×#4111yescharacteristic
393C22×C5#52012yes—
394C22×C5C2×C22⋊Q811yescharacteristic
395C22×C5#52511yescharacteristic
396C22×C5#52911yescharacteristic
397C22×C5C2×#12711yescharacteristic
398C22×C5#53211yescharacteristic
399C22×C5#53212yes—
400C22×C5#53311yescharacteristic
401C22×C5#53411yescharacteristic
402C22×C5#53611yescharacteristic
403C22×C5#53912yes—
404C22×C5#54612yes—
405C22×C5#54612yes—
406C22×C5#54712yes—
407C22×C5D4×Q812yes—
408C22×C5#55112yes—
409C22×C5#55212yes—
410C22×C5#55212yes—
411C22×C5#55412yes—
412C4×C5—24no—
413C4×C5—24no—
414C4×C5—28no—
415C4×C5—24no—
416C4×C5—42no—
417C4×C5—44no—
418C4×C5—42no—
419C4×C5—42no—
420C4×C5—44no—
421C4×C5—82no—
422C24—21no—
423C24—22no—
424C24—21no—
425C24—22no—
426C24—21no—
427C24—21no—
428C24—22no—
429C24—22no—
430C24C22×C4×C512yes—
431C24C2×C5×Q812yes—
432C24C5×#4112yes—
433C24C24×C511yescharacteristic
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—28no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4C22×C4×C514yes—
482C22×C4C22×C4×C512yes—
483C22×C4C22×C4×C514yes—
484C22×C4C22×C4×C512yes—
485C22×C4C2×C5×D414yes—
486C22×C4C2×C5×D414yes—
487C22×C4C2×C5×D412yes—
488C22×C4C2×C5×D412yes—
489C22×C4C2×C5×D414yes—
490C22×C4C2×C5×D412yes—
491C22×C4C2×C5×Q812yes—
492C22×C4C2×C5×Q812yes—
493C22×C4C5×#4112yes—
494C22×C4C5×#4112yes—
495C22×C4C5×#4114yes—
496C22×C4C5×#4112yes—
497C4⋊C4—216no—
498C4⋊C4—28no—
499C4⋊C4—48no—
500C4⋊C4—44no—
501C4⋊C4—48no—
502C22⋊C4—28no—
503C22⋊C4—216no—
504C22⋊C4—28no—
505C22⋊C4—48no—
506C42—44no—
507C42—48no—
508C42—44no—
509C2×C5—44no—
510C2×C5C4×C22⋊Q811yescharacteristic
511C2×C5C4×#12711yescharacteristic
512C2×C5#232211yescharacteristic
513C2×C5#235912yes—
514C2×C5#236012yes—
515C2×C5#253911yescharacteristic
516C2×C5#254211yescharacteristic
517C2×C5#255312yes—
518C2×C5#255612yes—
519C2×C5#256411yescharacteristic
520C2×C5#261111yescharacteristic
521C23—22no—
522C23—24no—
523C23—22no—
524C23—24no—
525C23—22no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—41no—
534C23—42no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23C4×C5×Q814yes—
544C23C23×C4×C511yescharacteristic
545C23C22×C5×D411yescharacteristic
546C23C22×C5×D412yes—
547C23C22×C5×Q811yescharacteristic
548C23C2×C5×#4111yescharacteristic
549C23C2×C5×#4112yes—
550C23C2×C5×#4111yescharacteristic
551C23C2×C5×#4111yescharacteristic
552C23C2×C5×#4111yescharacteristic
553C23C5×H(5,𝔽2)12yes—
554C23C5×2−1+412yes—
555C2×C4—24no—
556C2×C4—24no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—416no—
586C2×C4—42no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—42no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—41no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4C4×C5×D414yes—
611C2×C4C4×C5×D418yes—
612C2×C4C5×C22⋊Q814yes—
613C2×C4C5×#12714yes—
614C5#1423011yescharacteristic, direct product factor, Sylow
615C22—24no—
616C22—28no—
617C22—42no—
618C22—42no—
619C22—44no—
620C22—44no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—44no—
626C22C2×C4×C5×D411yescharacteristic
627C22C2×C4×C5×D412yes—
628C22C2×C4×C5×Q811yescharacteristic
629C22C4×C5×#4111yescharacteristic
630C22C5×#52012yes—
631C22C2×C5×C22⋊Q811yescharacteristic
632C22C5×#52511yescharacteristic
633C22C5×#52911yescharacteristic
634C22C2×C5×#12711yescharacteristic
635C22C5×#53212yes—
636C22C5×#53211yescharacteristic
637C22C5×#53311yescharacteristic
638C22C5×#53411yescharacteristic
639C22C5×#53611yescharacteristic
640C22C5×#53912yes—
641C22C5×#54612yes—
642C22C5×#54612yes—
643C22C5×#54712yes—
644C22C5×D4×Q812yes—
645C22C5×#55112yes—
646C22C5×#55212yes—
647C22C5×#55212yes—
648C22C5×#55412yes—
649C4—24no—
650C4—24no—
651C4—24no—
652C4—28no—
653C4—42no—
654C4—42no—
655C4—44no—
656C4—42no—
657C4—44no—
658C4—82no—
659C2—44no—
660C2C4×C5×C22⋊Q811yescharacteristic
661C2C4×C5×#12711yescharacteristic
662C2C5×#232211yescharacteristic
663C2C5×#235912yes—
664C2C5×#236012yes—
665C2C5×#253911yescharacteristic
666C2C5×#254211yescharacteristic
667C2C5×#255312yes—
668C2C5×#255612yes—
669C2C5×#256411yescharacteristic
670C2C5×#261111yescharacteristic
subgroupG/H
center, socleC24×C5C24
commutatorC23C23×C4×C5
Frattini, cosocleC24C24×C5
prime radicalC25×C5C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C5×#389C2semidirect
3. C2×C5×#387C2semidirect
6. C5×#1445C2semidirect
7. C5×#1444C2semidirect
10. C5×C4⋊#95C2semidirect
11. C4×C5×#95C2semidirect
25. C5×#399C4semidirect
40. #14230C5direct (N × H)
69. C2×C5×C4⋊C4C2×C4semidirect
70. C2×C5×C4⋊C4C2×C4semidirect
98. C5×#95C2×C4semidirect
101. C2×#389C2×C5semidirect
102. C2×#387C2×C5semidirect
105. #1445C2×C5semidirect
106. #1444C2×C5semidirect
109. C4⋊#95C2×C5semidirect
110. C4×#95C2×C5semidirect
211. #399C4×C5semidirect
347. C2×C4⋊C4C2×C4×C5semidirect
348. C2×C4⋊C4C2×C4×C5semidirect
376. #95C2×C4×C5semidirect
614. C5#14230direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3992
C2×C5×#3892
C2×C5×#3872
C2×C5×#3852
C2×C4×C5×C22⋊C42
C5×#14452
C5×#14442
C5×#14392
C5×#14372
C5×C4⋊#952
C4×C5×#952
#142305