Finite Group Databasebeta

← C5×#14325 #11937045

Subgroups — C5×#14325 #11937045

Order 1280.

1650 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#394C211yesmaximal, characteristic
2C2×C5×#390C211yesmaximal, characteristic
3C2×C5×#387C211yesmaximal, characteristic, complemented
4C5×#1442C211yesmaximal, characteristic, complemented
5C5×#1441C211yesmaximal, characteristic, complemented
6C5×#1440C212yesmaximal, complemented
7C5×#1439C212yesmaximal, complemented
8C5×#1438C211yesmaximal, characteristic
9C5×#1437C212yesmaximal, complemented
10C5×#1437C212yesmaximal, complemented
11C4×C5×#95C211yesmaximal, characteristic, complemented
12C23×C5×D4C2211yescharacteristic
13C22×C5×C4⋊C4C2211yescharacteristic
14C22×C5×C4⋊C4C2211yescharacteristic
15C22×C5×C4⋊C4C2211yescharacteristic
16C22×C5×C22⋊C4C2212yes—
17C22×C5×C22⋊C4C2212yes—
18C22×C5×C22⋊C4C2212yes—
19C22×C5×C22⋊C4C2212yes—
20C22×C5×C22⋊C4C2212yes—
21C22×C5×C22⋊C4C2212yes—
22C22×C42×C5C2212yes—
23C22×C42×C5C2211yescharacteristic
24C5×#394C418yescomplemented
25C5×#390—24no—
26C5×#387—24no—
27C2×C5×#95C2211yescharacteristic
28C2×C5×#95C2211yescharacteristic
29C2×C5×#95C2211yescharacteristic
30C2×C5×#95C2211yescharacteristic
31C2×C5×#95C2211yescharacteristic
32C2×C5×#95C2212yes—
33C2×C5×#95C2212yes—
34C2×C5×#95C2212yes—
35C2×C5×#95C2212yes—
36C2×C5×#95C2212yes—
37C2×C5×#95C2211yescharacteristic
38#14325C511yesmaximal, characteristic, direct product factor, Sylow
39C25×C5C2312yes—
40C22×C5×D4—22no—
41C22×C5×D4—22no—
42C22×C5×D4—42no—
43C22×C5×D4—42no—
44C22×C5×D4C2×C414yes—
45C23×C4×C5C2311yescharacteristic
46C23×C4×C5C2312yes—
47C23×C4×C5C2311yescharacteristic
48C23×C4×C5C2312yes—
49C23×C4×C5C2311yescharacteristic
50C23×C4×C5C2311yescharacteristic
51C23×C4×C5C2311yescharacteristic
52C23×C4×C5C2312yes—
53C23×C4×C5C2311yescharacteristic
54C23×C4×C5C2311yescharacteristic
55C2×C5×C4⋊C4—22no—
56C2×C5×C4⋊C4—22no—
57C2×C5×C4⋊C4—22no—
58C2×C5×C4⋊C4—22no—
59C2×C5×C4⋊C4—42no—
60C2×C5×C4⋊C4—42no—
61C2×C5×C4⋊C4C2×C414yes—
62C2×C5×C22⋊C4—24no—
63C2×C5×C22⋊C4—24no—
64C2×C5×C22⋊C4—24no—
65C2×C5×C22⋊C4—24no—
66C2×C5×C22⋊C4—24no—
67C2×C5×C22⋊C4—24no—
68C2×C5×C22⋊C4—42no—
69C2×C5×C22⋊C4—42no—
70C2×C5×C22⋊C4—42no—
71C2×C5×C22⋊C4—42no—
72C2×C5×C22⋊C4—42no—
73C2×C5×C22⋊C4—42no—
74C2×C5×C22⋊C4—42no—
75C2×C5×C22⋊C4—42no—
76C2×C5×C22⋊C4—42no—
77C2×C5×C22⋊C4—42no—
78C2×C5×C22⋊C4C2×C418yes—
79C2×C5×C22⋊C4C2×C418yes—
80C2×C42×C5—24no—
81C2×C42×C5—42no—
82C2×C42×C5—42no—
83C2×C42×C5—42no—
84C2×C42×C5D414yes—
85C5×#95—22no—
86C5×#95—22no—
87C5×#95—22no—
88C5×#95—22no—
89C5×#95—24no—
90C5×#95—22no—
91C5×#95—42no—
92C5×#95—42no—
93C5×#95—42no—
94C5×#95—42no—
95C5×#95C2×C414yes—
96C2×#394C2×C511yescharacteristic
97C2×#390C2×C511yescharacteristic
98C2×#387C2×C511yescharacteristic, complemented
99#1442C2×C511yescharacteristic, complemented
100#1441C2×C511yescharacteristic, complemented
101#1440C2×C512yescomplemented
102#1439C2×C512yescomplemented
103#1438C2×C511yescharacteristic
104#1437C2×C512yescomplemented
105#1437C2×C512yescomplemented
106C4×#95C2×C511yescharacteristic, complemented
107C24×C5—22no—
108C24×C5—22no—
109C24×C5—22no—
110C24×C5—22no—
111C24×C5—22no—
112C24×C5—22no—
113C24×C5—22no—
114C24×C5—22no—
115C24×C5—22no—
116C24×C5—22no—
117C24×C5—22no—
118C24×C5—22no—
119C24×C5—22no—
120C24×C5—22no—
121C24×C5C22×C414yes—
122C24×C5C2411yescharacteristic
123C2×C5×D4—28no—
124C2×C5×D4—48no—
125C2×C5×D4—44no—
126C2×C5×D4—44no—
127C2×C5×D4—48no—
128C22×C4×C5—22no—
129C22×C4×C5—21no—
130C22×C4×C5—22no—
131C22×C4×C5—22no—
132C22×C4×C5—21no—
133C22×C4×C5—21no—
134C22×C4×C5—21no—
135C22×C4×C5—22no—
136C22×C4×C5—22no—
137C22×C4×C5—21no—
138C22×C4×C5—21no—
139C22×C4×C5—22no—
140C22×C4×C5—22no—
141C22×C4×C5—22no—
142C22×C4×C5—22no—
143C22×C4×C5—22no—
144C22×C4×C5—22no—
145C22×C4×C5—22no—
146C22×C4×C5—22no—
147C22×C4×C5—21no—
148C22×C4×C5—21no—
149C22×C4×C5—21no—
150C22×C4×C5—21no—
151C22×C4×C5—22no—
152C22×C4×C5—22no—
153C22×C4×C5—22no—
154C22×C4×C5—22no—
155C22×C4×C5—22no—
156C22×C4×C5—22no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—22no—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—22no—
163C22×C4×C5—22no—
164C22×C4×C5—22no—
165C22×C4×C5—22no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—22no—
171C22×C4×C5—22no—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5C22×C412yes—
177C22×C4×C5C22×C412yes—
178C22×C4×C5C22×C414yes—
179C22×C4×C5C22×C412yes—
180C22×C4×C5C2×D412yes—
181C22×C4×C5C2×D412yes—
182C22×C4×C5C2×D412yes—
183C22×C4×C5#4114yes—
184C22×C4×C5#4112yes—
185C22×C4×C5#4114yes—
186C5×C4⋊C4—28no—
187C5×C4⋊C4—44no—
188C5×C4⋊C4—44no—
189C5×C22⋊C4—48no—
190C5×C22⋊C4—48no—
191C5×C22⋊C4—48no—
192C5×C22⋊C4—48no—
193C5×C22⋊C4—48no—
194C5×C22⋊C4—48no—
195C42×C5—44no—
196C42×C5—48no—
197C23×D4C22×C511yescharacteristic
198C22×C4⋊C4C22×C511yescharacteristic
199C22×C4⋊C4C22×C511yescharacteristic
200C22×C4⋊C4C22×C511yescharacteristic
201C22×C22⋊C4C22×C512yes—
202C22×C22⋊C4C22×C512yes—
203C22×C22⋊C4C22×C512yes—
204C22×C22⋊C4C22×C512yes—
205C22×C22⋊C4C22×C512yes—
206C22×C22⋊C4C22×C512yes—
207C22×C42C22×C512yes—
208C22×C42C22×C511yescharacteristic
209#394C4×C518yescomplemented
210#390—24no—
211#387—24no—
212C2×#95C22×C511yescharacteristic
213C2×#95C22×C512yes—
214C2×#95C22×C511yescharacteristic
215C2×#95C22×C511yescharacteristic
216C2×#95C22×C511yescharacteristic
217C2×#95C22×C511yescharacteristic
218C2×#95C22×C512yes—
219C2×#95C22×C512yes—
220C2×#95C22×C512yes—
221C2×#95C22×C512yes—
222C2×#95C22×C511yescharacteristic
223C23×C5—24no—
224C23×C5—24no—
225C23×C5—24no—
226C23×C5—24no—
227C23×C5—24no—
228C23×C5—24no—
229C23×C5—24no—
230C23×C5—42no—
231C23×C5—42no—
232C23×C5—42no—
233C23×C5—42no—
234C23×C5—42no—
235C23×C5—42no—
236C23×C5—42no—
237C23×C5—42no—
238C23×C5—42no—
239C23×C5—42no—
240C23×C5—42no—
241C23×C5—42no—
242C23×C5—42no—
243C23×C5—42no—
244C23×C5—42no—
245C23×C5—42no—
246C23×C5—42no—
247C23×C5—42no—
248C23×C5—42no—
249C23×C5—42no—
250C23×C5—42no—
251C23×C5—42no—
252C23×C5—42no—
253C23×C5—42no—
254C23×C5—42no—
255C23×C5—42no—
256C23×C5—42no—
257C23×C5—42no—
258C23×C5C23×C411yescharacteristic
259C23×C5C22×D411yescharacteristic
260C23×C5C2×#4111yescharacteristic
261C23×C5C2×#4112yes—
262C23×C5C2×#4112yes—
263C23×C5H(5,𝔽2)12yes—
264C23×C5H(5,𝔽2)12yes—
265C23×C5H(5,𝔽2)11yescharacteristic
266C23×C5H(5,𝔽2)11yescharacteristic
267C23×C5H(5,𝔽2)11yescharacteristic
268C23×C52−1+411yescharacteristic
269C5×D4—416no—
270C2×C4×C5—24no—
271C2×C4×C5—22no—
272C2×C4×C5—22no—
273C2×C4×C5—22no—
274C2×C4×C5—22no—
275C2×C4×C5—24no—
276C2×C4×C5—24no—
277C2×C4×C5—24no—
278C2×C4×C5—22no—
279C2×C4×C5—22no—
280C2×C4×C5—24no—
281C2×C4×C5—22no—
282C2×C4×C5—24no—
283C2×C4×C5—24no—
284C2×C4×C5—24no—
285C2×C4×C5—22no—
286C2×C4×C5—24no—
287C2×C4×C5—22no—
288C2×C4×C5—22no—
289C2×C4×C5—22no—
290C2×C4×C5—24no—
291C2×C4×C5—24no—
292C2×C4×C5—41no—
293C2×C4×C5—41no—
294C2×C4×C5—41no—
295C2×C4×C5—41no—
296C2×C4×C5—42no—
297C2×C4×C5—42no—
298C2×C4×C5—42no—
299C2×C4×C5—42no—
300C2×C4×C5—42no—
301C2×C4×C5—42no—
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—41no—
309C2×C4×C5—42no—
310C2×C4×C5—41no—
311C2×C4×C5—41no—
312C2×C4×C5—41no—
313C2×C4×C5—42no—
314C2×C4×C5—42no—
315C2×C4×C5—41no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
318C2×C4×C5—42no—
319C2×C4×C5—42no—
320C2×C4×C5—42no—
321C2×C4×C5—42no—
322C2×C4×C5—42no—
323C2×C4×C5—42no—
324C2×C4×C5—42no—
325C2×C4×C5—42no—
326C2×C4×C5C4×D414yes—
327C2×C4×C5#12414yes—
328C25C23×C512yes—
329C22×D4—22no—
330C22×D4—22no—
331C22×D4—42no—
332C22×D4—42no—
333C22×D4C2×C4×C514yes—
334C23×C4C23×C511yescharacteristic
335C23×C4C23×C512yes—
336C23×C4C23×C511yescharacteristic
337C23×C4C23×C511yescharacteristic
338C23×C4C23×C511yescharacteristic
339C23×C4C23×C512yes—
340C23×C4C23×C511yescharacteristic
341C23×C4C23×C512yes—
342C23×C4C23×C511yescharacteristic
343C23×C4C23×C511yescharacteristic
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4C2×C4×C514yes—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—42no—
360C2×C22⋊C4—42no—
361C2×C22⋊C4—42no—
362C2×C22⋊C4—42no—
363C2×C22⋊C4—42no—
364C2×C22⋊C4—42no—
365C2×C22⋊C4—42no—
366C2×C22⋊C4—42no—
367C2×C22⋊C4C2×C4×C518yes—
368C2×C22⋊C4C2×C4×C518yes—
369C2×C42—24no—
370C2×C42—42no—
371C2×C42—42no—
372C2×C42—42no—
373C2×C42C5×D414yes—
374#95—22no—
375#95—22no—
376#95—22no—
377#95—22no—
378#95—24no—
379#95—22no—
380#95—42no—
381#95—42no—
382#95—42no—
383#95—42no—
384#95C2×C4×C514yes—
385C22×C5—44no—
386C22×C5—44no—
387C22×C5—44no—
388C22×C5—44no—
389C22×C5—44no—
390C22×C5—44no—
391C22×C5—44no—
392C22×C5—82no—
393C22×C5—82no—
394C22×C5—82no—
395C22×C5—82no—
396C22×C5—82no—
397C22×C5—82no—
398C22×C5—82no—
399C22×C5—82no—
400C22×C5C2×C4×D411yescharacteristic
401C22×C5C4×#4112yes—
402C22×C5#51812yes—
403C22×C5#51811yescharacteristic
404C22×C5#52011yescharacteristic
405C22×C5C2×#12411yescharacteristic
406C22×C5#52912yes—
407C22×C5#53211yescharacteristic
408C22×C5#53411yescharacteristic
409C22×C5#53511yescharacteristic
410C22×C5#53511yescharacteristic
411C22×C5#53711yescharacteristic
412C22×C5#53812yes—
413C22×C5#53812yes—
414C22×C5#53812yes—
415C22×C5#53812yes—
416C22×C5#53912yes—
417C22×C5#54011yescharacteristic
418C22×C5#54012yes—
419C22×C5#54012yes—
420C22×C5#54012yes—
421C22×C5#54211yescharacteristic
422C22×C5#54212yes—
423C4×C5—24no—
424C4×C5—24no—
425C4×C5—42no—
426C4×C5—42no—
427C4×C5—44no—
428C4×C5—44no—
429C4×C5—42no—
430C4×C5—82no—
431C4×C5—81no—
432C4×C5—81no—
433C24—22no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24C22×C4×C514yes—
448C24C24×C511yescharacteristic
449C2×D4—28no—
450C2×D4—48no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—48no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
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—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4C22×C4×C514yes—
503C22×C4C22×C4×C512yes—
504C22×C4C22×C4×C512yes—
505C22×C4C22×C4×C512yes—
506C22×C4C2×C5×D412yes—
507C22×C4C2×C5×D412yes—
508C22×C4C2×C5×D412yes—
509C22×C4C5×#4114yes—
510C22×C4C5×#4112yes—
511C22×C4C5×#4114yes—
512C4⋊C4—28no—
513C4⋊C4—44no—
514C4⋊C4—44no—
515C22⋊C4—48no—
516C22⋊C4—48no—
517C22⋊C4—48no—
518C22⋊C4—48no—
519C22⋊C4—48no—
520C22⋊C4—48no—
521C42—44no—
522C42—48no—
523C2×C5—84no—
524C2×C5C4×#12411yescharacteristic
525C2×C5#232111yescharacteristic
526C2×C5#232411yescharacteristic
527C2×C5#233312yes—
528C2×C5#233512yes—
529C2×C5#263911yescharacteristic
530C2×C5#264111yescharacteristic
531C2×C5#264812yes—
532C2×C5#265112yes—
533C2×C5#266111yescharacteristic
534C2×C5#266211yescharacteristic
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23C23×C4×C511yescharacteristic
571C23C22×C5×D411yescharacteristic
572C23C2×C5×#4111yescharacteristic
573C23C2×C5×#4112yes—
574C23C2×C5×#4112yes—
575C23C5×H(5,𝔽2)12yes—
576C23C5×H(5,𝔽2)12yes—
577C23C5×H(5,𝔽2)11yescharacteristic
578C23C5×H(5,𝔽2)11yescharacteristic
579C23C5×H(5,𝔽2)11yescharacteristic
580C23C5×2−1+411yescharacteristic
581D4—416no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4C4×C5×D414yes—
639C2×C4C5×#12414yes—
640C5#1432511yescharacteristic, direct product factor, Sylow
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—82no—
649C22—82no—
650C22—82no—
651C22—82no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22C2×C4×C5×D411yescharacteristic
657C22C4×C5×#4112yes—
658C22C5×#51812yes—
659C22C5×#51811yescharacteristic
660C22C5×#52011yescharacteristic
661C22C2×C5×#12411yescharacteristic
662C22C5×#52912yes—
663C22C5×#53211yescharacteristic
664C22C5×#53411yescharacteristic
665C22C5×#53511yescharacteristic
666C22C5×#53511yescharacteristic
667C22C5×#53711yescharacteristic
668C22C5×#53812yes—
669C22C5×#53812yes—
670C22C5×#53812yes—
671C22C5×#53812yes—
672C22C5×#53912yes—
673C22C5×#54011yescharacteristic
674C22C5×#54012yes—
675C22C5×#54012yes—
676C22C5×#54012yes—
677C22C5×#54211yescharacteristic
678C22C5×#54212yes—
679C4—24no—
680C4—24no—
681C4—42no—
682C4—42no—
683C4—44no—
684C4—44no—
685C4—42no—
686C4—82no—
687C4—81no—
688C4—81no—
689C2—84no—
690C2C4×C5×#12411yescharacteristic
691C2C5×#232111yescharacteristic
692C2C5×#232411yescharacteristic
693C2C5×#233312yes—
694C2C5×#233512yes—
695C2C5×#263911yescharacteristic
696C2C5×#264111yescharacteristic
697C2C5×#264812yes—
698C2C5×#265112yes—
699C2C5×#266111yescharacteristic
700C2C5×#266211yescharacteristic
subgroupG/H
center, socleC24×C5C24
commutatorC23C23×C4×C5
Frattini, cosocleC24C24×C5
prime radicalC23×C5×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C5 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C5×#387C2semidirect
4. C5×#1442C2semidirect
5. C5×#1441C2semidirect
6. C5×#1440C2semidirect
7. C5×#1439C2semidirect
9. C5×#1437C2semidirect
10. C5×#1437C2semidirect
11. C4×C5×#95C2semidirect
24. C5×#394C4semidirect
38. #14325C5direct (N × H)
98. C2×#387C2×C5semidirect
99. #1442C2×C5semidirect
100. #1441C2×C5semidirect
101. #1440C2×C5semidirect
102. #1439C2×C5semidirect
104. #1437C2×C5semidirect
105. #1437C2×C5semidirect
106. C4×#95C2×C5semidirect
209. #394C4×C5semidirect
640. C5#14325direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3942
C2×C5×#3902
C2×C5×#3872
C5×#14422
C5×#14412
C5×#14402
C5×#14392
C5×#14382
C5×#14372
C4×C5×#952
#143255