Finite Group Databasebeta

← C5×#18456 #11941176

Subgroups — C5×#18456 #11941176

Order 1280.

996 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
1C5×#3536C211yesmaximal, characteristic, complemented
2C5×#3194C211yesmaximal, characteristic, complemented
3C5×#3186C211yesmaximal, characteristic, complemented
4C5×#2816C211yesmaximal, characteristic, complemented
5C5×#1610C212yesmaximal, complemented
6C5×#1609C212yesmaximal, complemented
7C5×#1598C212yesmaximal, complemented
8C5×#1597C212yesmaximal, complemented
9C5×#1516C211yesmaximal, characteristic, complemented
10C5×#1510C211yesmaximal, characteristic, complemented
11C5×#1472C211yesmaximal, characteristic, complemented
12C5×#562—22no—
13C5×#554—21no—
14C5×#548—21no—
15C5×#547—21no—
16C5×#546—21no—
17C5×#546—22no—
18C5×#543—21no—
19C5×#542—21no—
20C5×#539C2212yes—
21C5×#538—21no—
22C5×#537—21no—
23C5×#537C2212yes—
24C5×#525C2211yescharacteristic
25C2×C5×C22⋊Q8C2211yescharacteristic
26C2×C5×#121C2211yescharacteristic
27C2×C5×#121C2211yescharacteristic
28C5×#483C2211yescharacteristic, complemented
29C5×#482—21no—
30C5×#480—21no—
31C5×#480C2212yes—
32C5×#480C2211yescharacteristic, complemented
33C5×#469—21no—
34C5×#468—21no—
35C5×#466—22no—
36C5×#450C2211yescharacteristic, complemented
37C5×#449—21no—
38C5×#447—21no—
39C5×#447C2212yes—
40C5×#447C2211yescharacteristic, complemented
41C5×#407C2211yescharacteristic
42C2×C5×C22⋊C8C2211yescharacteristic
43C5×#399—21no—
44C5×#398C2212yescomplemented
45C5×#394—22no—
46C5×#394C2212yescomplemented
47C5×#393—21no—
48C5×#381C2211yescharacteristic
49C5×#328C2212yescomplemented
50C5×#327C2212yes—
51C5×#327C2212yes—
52C5×#327C2212yescomplemented
53C5×#324C2212yescomplemented
54C5×#324C2212yescomplemented
55#18456C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—21no—
57C2×C5×#41—22no—
58C2×C5×#41D411yescharacteristic
59C22×C5×Q8D411yescharacteristic
60C22×C5×D4—21no—
61C22×C5×D4—21no—
62C22×C5×D4D411yescharacteristic
63C22×C5×D4C2311yescharacteristic
64C23×C4×C5C2311yescharacteristic
65C2×C5×SD16—21no—
66C2×C5×D8—22no—
67C2×C5×D8—21no—
68C2×C5×M16—21no—
69C22×C5×C8—21no—
70C5×C4⋊Q8—21no—
71C5×#126—22no—
72C5×#125—22no—
73C5×#124—22no—
74C5×#124—21no—
75C5×#124—22no—
76C5×#123—22no—
77C5×#123—22no—
78C5×#123—22no—
79C5×#123—21no—
80C5×#123—22no—
81C5×C22⋊Q8—21no—
82C5×C22⋊Q8—22no—
83C5×C22⋊Q8—22no—
84C5×C22⋊Q8—22no—
85C5×C22⋊Q8—22no—
86C5×C22⋊Q8—21no—
87C5×C22⋊Q8—21no—
88C5×C22⋊Q8—21no—
89C5×C22⋊Q8—21no—
90C5×C22⋊Q8—22no—
91C5×C22⋊Q8—22no—
92C5×C22⋊Q8D411yescharacteristic
93C5×C22⋊Q8C2311yescharacteristic
94C5×#121—21no—
95C5×#121—22no—
96C5×#121—22no—
97C5×#121—22no—
98C5×#121—22no—
99C5×#121—21no—
100C5×#121—21no—
101C5×#121—22no—
102C5×#121—21no—
103C5×#121—21no—
104C5×#121—21no—
105C5×#121—21no—
106C5×#121D412yes—
107C5×#121D411yescharacteristic
108C5×#121C2312yes—
109C5×#121C2311yescharacteristic
110C5×#120—22no—
111C5×#120—21no—
112C4×C5×Q8—21no—
113C4×C5×D4—22no—
114C4×C5×D4—21no—
115C4×C5×D4—21no—
116C4×C5×D4—21no—
117C4×C5×D4—22no—
118C5×#117D411yescharacteristic
119C2×C5×C4⋊C4—21no—
120C2×C5×C4⋊C4—22no—
121C2×C5×C4⋊C4D411yescharacteristic
122C2×C5×C4⋊C4D411yescharacteristic
123C2×C5×C4⋊C4C2311yescharacteristic
124C2×C5×C4⋊C4C2312yes—
125C2×C5×C22⋊C4—22no—
126C2×C5×C22⋊C4—21no—
127C2×C5×C22⋊C4—21no—
128C2×C5×C22⋊C4—21no—
129C2×C5×C22⋊C4—22no—
130C2×C5×C22⋊C4—22no—
131C2×C5×C22⋊C4D412yes—
132C5×#107—22no—
133C5×#107—21no—
134C5×#106—21no—
135C5×#103—21no—
136C5×#102—22no—
137C5×#102—21no—
138C5×#102—22no—
139C5×#102—21no—
140C5×#102—21no—
141C5×C22⋊C8—21no—
142C5×C22⋊C8—21no—
143C5×C22⋊C8C2311yescharacteristic
144C5×C22⋊C8C2311yescharacteristic
145C5×C22⋊C8C2312yes—
146C5×#95—21no—
147C5×#95—22no—
148C5×#95C2312yes—
149#3536C2×C511yescharacteristic, complemented
150#3194C2×C511yescharacteristic, complemented
151#3186C2×C511yescharacteristic, complemented
152#2816C2×C511yescharacteristic, complemented
153#1610C2×C512yescomplemented
154#1609C2×C512yescomplemented
155#1598C2×C512yescomplemented
156#1597C2×C512yescomplemented
157#1516C2×C511yescharacteristic, complemented
158#1510C2×C511yescharacteristic, complemented
159#1472C2×C511yescharacteristic, complemented
160C24×C5—21no—
161C24×C5—21no—
162C24×C5C2×D411yescharacteristic
163C5×#41—82no—
164C5×#41—82no—
165C5×#41—81no—
166C5×#41—82no—
167C2×C5×Q8—22no—
168C2×C5×Q8—21no—
169C2×C5×Q8—21no—
170C2×C5×Q8—81no—
171C2×C5×Q8C2×D411yescharacteristic
172C2×C5×D4—21no—
173C2×C5×D4—21no—
174C2×C5×D4—22no—
175C2×C5×D4—22no—
176C2×C5×D4—22no—
177C2×C5×D4—21no—
178C2×C5×D4—22no—
179C2×C5×D4—21no—
180C2×C5×D4—21no—
181C2×C5×D4—21no—
182C2×C5×D4—41no—
183C2×C5×D4—41no—
184C2×C5×D4—81no—
185C2×C5×D4—81no—
186C2×C5×D4—82no—
187C2×C5×D4—82no—
188C2×C5×D4C2×D411yescharacteristic
189C2×C5×D4C2×D412yes—
190C22×C4×C5—22no—
191C22×C4×C5—22no—
192C22×C4×C5—22no—
193C22×C4×C5—21no—
194C22×C4×C5—21no—
195C22×C4×C5—22no—
196C22×C4×C5—21no—
197C22×C4×C5—81no—
198C22×C4×C5C2×D412yes—
199C22×C4×C5C2×D412yes—
200C22×C4×C5C2×D411yescharacteristic
201C22×C4×C5C2×D411yescharacteristic
202C22×C4×C5C2×D411yescharacteristic
203C22×C4×C5C2×D411yescharacteristic
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2411yescharacteristic
206C5×SD16—81no—
207C5×D8—82no—
208C5×D8—81no—
209C5×M16—81no—
210C2×C5×C8—22no—
211C2×C5×C8—21no—
212C2×C5×C8—21no—
213C2×C5×C8—81no—
214C5×C4⋊C4—22no—
215C5×C4⋊C4—22no—
216C5×C4⋊C4—22no—
217C5×C4⋊C4—22no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—21no—
220C5×C4⋊C4—21no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4—22no—
223C5×C4⋊C4—22no—
224C5×C4⋊C4—21no—
225C5×C4⋊C4—21no—
226C5×C4⋊C4—21no—
227C5×C4⋊C4—82no—
228C5×C4⋊C4C2×D412yes—
229C5×C4⋊C4C2×D411yescharacteristic
230C5×C4⋊C4C2×D411yescharacteristic
231C5×C22⋊C4—22no—
232C5×C22⋊C4—22no—
233C5×C22⋊C4—22no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—22no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—22no—
238C5×C22⋊C4—22no—
239C5×C22⋊C4—21no—
240C5×C22⋊C4—21no—
241C5×C22⋊C4—22no—
242C5×C22⋊C4—21no—
243C5×C22⋊C4—22no—
244C5×C22⋊C4—21no—
245C5×C22⋊C4—41no—
246C5×C22⋊C4—41no—
247C5×C22⋊C4—82no—
248C5×C22⋊C4—82no—
249C5×C22⋊C4—81no—
250C42×C5—22no—
251C42×C5—21no—
252#562—22no—
253#554—21no—
254#548—21no—
255#547—21no—
256#546—21no—
257#546—22no—
258#543—21no—
259#542—21no—
260#539C22×C512yes—
261#538—21no—
262#537—21no—
263#537C22×C512yes—
264#525C22×C511yescharacteristic
265C2×C22⋊Q8C22×C511yescharacteristic
266C2×#121C22×C511yescharacteristic
267C2×#121C22×C511yescharacteristic
268#483C22×C511yescharacteristic, complemented
269#482—21no—
270#480—21no—
271#480C22×C512yes—
272#480C22×C511yescharacteristic, complemented
273#469—21no—
274#468—21no—
275#466—22no—
276#450C22×C511yescharacteristic, complemented
277#449—21no—
278#447—21no—
279#447C22×C512yes—
280#447C22×C511yescharacteristic, complemented
281#407C22×C511yescharacteristic
282C2×C22⋊C8C22×C511yescharacteristic
283#399—21no—
284#398C22×C512yescomplemented
285#394—22no—
286#394C22×C512yescomplemented
287#393—21no—
288#381C22×C511yescharacteristic
289#328C22×C512yescomplemented
290#327C22×C512yes—
291#327C22×C512yes—
292#327C22×C512yescomplemented
293#324C22×C512yescomplemented
294#324C22×C512yescomplemented
295C23×C5—22no—
296C23×C5—22no—
297C23×C5—21no—
298C23×C5—41no—
299C23×C5—41no—
300C23×C5—42no—
301C23×C5—42no—
302C23×C5—42no—
303C23×C5—41no—
304C23×C5—42no—
305C23×C5—81no—
306C23×C5—81no—
307C23×C5#12011yescharacteristic
308C23×C5#12011yescharacteristic
309C23×C5C22×D411yescharacteristic
310C5×Q8—41no—
311C5×Q8—42no—
312C5×Q8—81no—
313C5×Q8—82no—
314C5×D4—42no—
315C5×D4—41no—
316C5×D4—42no—
317C5×D4—42no—
318C5×D4—41no—
319C5×D4—41no—
320C5×D4—42no—
321C5×D4—42no—
322C5×D4—42no—
323C5×D4—42no—
324C5×D4—82no—
325C5×D4—81no—
326C5×D4—82no—
327C5×D4—82no—
328C5×D4—82no—
329C5×D4—82no—
330C2×C4×C5—21no—
331C2×C4×C5—22no—
332C2×C4×C5—21no—
333C2×C4×C5—22no—
334C2×C4×C5—21no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—41no—
339C2×C4×C5—41no—
340C2×C4×C5—41no—
341C2×C4×C5—41no—
342C2×C4×C5—41no—
343C2×C4×C5—41no—
344C2×C4×C5—42no—
345C2×C4×C5—42no—
346C2×C4×C5—42no—
347C2×C4×C5—42no—
348C2×C4×C5—41no—
349C2×C4×C5—42no—
350C2×C4×C5—42no—
351C2×C4×C5—81no—
352C2×C4×C5—82no—
353C2×C4×C5—82no—
354C2×C4×C5—82no—
355C2×C4×C5#12011yescharacteristic
356C2×C4×C5#12011yescharacteristic
357C2×C4×C5C22×D411yescharacteristic
358C2×C4×C5C22×D411yescharacteristic
359C5×C8—42no—
360C5×C8—41no—
361C5×C8—41no—
362C2×#41—21no—
363C2×#41—22no—
364C2×#41C5×D411yescharacteristic
365C22×Q8C5×D411yescharacteristic
366C22×D4—21no—
367C22×D4—21no—
368C22×D4C5×D411yescharacteristic
369C22×D4C23×C511yescharacteristic
370C23×C4C23×C511yescharacteristic
371C2×SD16—21no—
372C2×D8—22no—
373C2×D8—21no—
374C2×M16—21no—
375C22×C8—21no—
376C4⋊Q8—21no—
377#126—22no—
378#125—22no—
379#124—22no—
380#124—21no—
381#124—22no—
382#123—22no—
383#123—22no—
384#123—22no—
385#123—21no—
386#123—22no—
387C22⋊Q8—21no—
388C22⋊Q8—22no—
389C22⋊Q8—22no—
390C22⋊Q8—22no—
391C22⋊Q8—22no—
392C22⋊Q8—21no—
393C22⋊Q8—21no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396C22⋊Q8—22no—
397C22⋊Q8—22no—
398C22⋊Q8C5×D411yescharacteristic
399C22⋊Q8C23×C511yescharacteristic
400#121—21no—
401#121—22no—
402#121—22no—
403#121—22no—
404#121—22no—
405#121—21no—
406#121—21no—
407#121—22no—
408#121—21no—
409#121—21no—
410#121—21no—
411#121—21no—
412#121C5×D412yes—
413#121C5×D411yescharacteristic
414#121C23×C512yes—
415#121C23×C511yescharacteristic
416#120—22no—
417#120—21no—
418C4×Q8—21no—
419C4×D4—22no—
420C4×D4—21no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—22no—
424#117C5×D411yescharacteristic
425C2×C4⋊C4—21no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4C5×D411yescharacteristic
428C2×C4⋊C4C5×D411yescharacteristic
429C2×C4⋊C4C23×C511yescharacteristic
430C2×C4⋊C4C23×C512yes—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4C5×D412yes—
438#107—22no—
439#107—21no—
440#106—21no—
441#103—21no—
442#102—22no—
443#102—21no—
444#102—22no—
445#102—21no—
446#102—21no—
447C22⋊C8—21no—
448C22⋊C8—21no—
449C22⋊C8C23×C511yescharacteristic
450C22⋊C8C23×C511yescharacteristic
451C22⋊C8C23×C512yes—
452#95—21no—
453#95—22no—
454#95C23×C512yes—
455C22×C5—21no—
456C22×C5—21no—
457C22×C5—21no—
458C22×C5—21no—
459C22×C5—21no—
460C22×C5—21no—
461C22×C5—21no—
462C22×C5—21no—
463C22×C5—41no—
464C22×C5—42no—
465C22×C5—41no—
466C22×C5—42no—
467C22×C5—41no—
468C22×C5—42no—
469C22×C5—82no—
470C22×C5—84no—
471C22×C5—81no—
472C22×C5—81no—
473C22×C5—81no—
474C22×C5—162no—
475C22×C5C2×#12011yescharacteristic
476C22×C5#57612yes—
477C4×C5—21no—
478C4×C5—21no—
479C4×C5—21no—
480C4×C5—21no—
481C4×C5—42no—
482C4×C5—42no—
483C4×C5—41no—
484C4×C5—41no—
485C4×C5—41no—
486C4×C5—42no—
487C4×C5—82no—
488C4×C5—81no—
489C24—21no—
490C24—21no—
491C24C2×C5×D411yescharacteristic
492#41—82no—
493#41—82no—
494#41—81no—
495#41—82no—
496C2×Q8—22no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—81no—
500C2×Q8C2×C5×D411yescharacteristic
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—41no—
512C2×D4—41no—
513C2×D4—81no—
514C2×D4—81no—
515C2×D4—82no—
516C2×D4—82no—
517C2×D4C2×C5×D411yescharacteristic
518C2×D4C2×C5×D412yes—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—21no—
526C22×C4—81no—
527C22×C4C2×C5×D412yes—
528C22×C4C2×C5×D412yes—
529C22×C4C2×C5×D411yescharacteristic
530C22×C4C2×C5×D411yescharacteristic
531C22×C4C2×C5×D411yescharacteristic
532C22×C4C2×C5×D411yescharacteristic
533C22×C4C2×C5×D411yescharacteristic
534C22×C4C24×C511yescharacteristic
535SD16—81no—
536D8—82no—
537D8—81no—
538M16—81no—
539C2×C8—22no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—81no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—82no—
557C4⋊C4C2×C5×D411yescharacteristic
558C4⋊C4C2×C5×D412yes—
559C4⋊C4C2×C5×D411yescharacteristic
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—22no—
573C22⋊C4—21no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—81no—
579C42—22no—
580C42—21no—
581C2×C5—22no—
582C2×C5—41no—
583C2×C5—41no—
584C2×C5—81no—
585C2×C5—82no—
586C2×C5—161no—
587C2×C5#300811yescharacteristic
588C2×C5#302011yescharacteristic
589C2×C5#302611yescharacteristic
590C23—22no—
591C23—22no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—41no—
599C23—42no—
600C23—81no—
601C23—81no—
602C23C5×#12011yescharacteristic
603C23C5×#12011yescharacteristic
604C23C22×C5×D411yescharacteristic
605Q8—41no—
606Q8—42no—
607Q8—81no—
608Q8—82no—
609D4—42no—
610D4—41no—
611D4—42no—
612D4—42no—
613D4—41no—
614D4—41no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—82no—
620D4—81no—
621D4—82no—
622D4—82no—
623D4—82no—
624D4—82no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—81no—
647C2×C4—82no—
648C2×C4—82no—
649C2×C4—82no—
650C2×C4C5×#12011yescharacteristic
651C2×C4C5×#12011yescharacteristic
652C2×C4C22×C5×D411yescharacteristic
653C2×C4C22×C5×D411yescharacteristic
654C8—42no—
655C8—41no—
656C8—41no—
657C5#1845611yescharacteristic, direct product factor, Sylow
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—82no—
673C22—84no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—162no—
678C22C2×C5×#12011yescharacteristic
679C22C5×#57612yes—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—82no—
691C4—81no—
692C2—22no—
693C2—41no—
694C2—41no—
695C2—82no—
696C2—81no—
697C2—161no—
698C2C5×#300811yescharacteristic
699C2C5×#302011yescharacteristic
700C2C5×#302611yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C23×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3536C2semidirect
2. C5×#3194C2semidirect
3. C5×#3186C2semidirect
4. C5×#2816C2semidirect
5. C5×#1610C2semidirect
6. C5×#1609C2semidirect
7. C5×#1598C2semidirect
8. C5×#1597C2semidirect
9. C5×#1516C2semidirect
10. C5×#1510C2semidirect
11. C5×#1472C2semidirect
28. C5×#483C22semidirect
32. C5×#480C22semidirect
36. C5×#450C22semidirect
40. C5×#447C22semidirect
44. C5×#398C22semidirect
46. C5×#394C22semidirect
49. C5×#328C22semidirect
52. C5×#327C22semidirect
53. C5×#324C22semidirect
54. C5×#324C22semidirect
55. #18456C5direct (N × H)
149. #3536C2×C5semidirect
150. #3194C2×C5semidirect
151. #3186C2×C5semidirect
152. #2816C2×C5semidirect
153. #1610C2×C5semidirect
154. #1609C2×C5semidirect
155. #1598C2×C5semidirect
156. #1597C2×C5semidirect
157. #1516C2×C5semidirect
158. #1510C2×C5semidirect
159. #1472C2×C5semidirect
268. #483C22×C5semidirect
272. #480C22×C5semidirect
276. #450C22×C5semidirect
280. #447C22×C5semidirect
284. #398C22×C5semidirect
286. #394C22×C5semidirect
289. #328C22×C5semidirect
292. #327C22×C5semidirect
293. #324C22×C5semidirect
294. #324C22×C5semidirect
657. C5#18456direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35362
C5×#31942
C5×#31862
C5×#28162
C5×#16102
C5×#16092
C5×#15982
C5×#15972
C5×#15162
C5×#15102
C5×#14722
#184565