Finite Group Databasebeta

← C5×#18274 #11940994

Subgroups — C5×#18274 #11940994

Order 1280.

1058 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3561C211yesmaximal, characteristic, complemented
2C5×#3110C211yesmaximal, characteristic, complemented
3C5×#3105C211yesmaximal, characteristic, complemented
4C5×#2540C211yesmaximal, characteristic, complemented
5C5×#1618C212yesmaximal, complemented
6C5×#1614C212yesmaximal, complemented
7C5×#1600C212yesmaximal, complemented
8C5×#1596C212yesmaximal, complemented
9C5×#1509C211yesmaximal, characteristic, complemented
10C5×#1503C211yesmaximal, characteristic, complemented
11C5×#1469C211yesmaximal, characteristic, complemented
12C5×#563—21no—
13C5×#562—21no—
14C5×#556—21no—
15C5×#551—22no—
16C5×D4×Q8—21no—
17C5×#548—21no—
18C5×#546—21no—
19C5×#543C2212yes—
20C5×#542—21no—
21C5×#542—22no—
22C5×#538C2212yes—
23C5×#536—21no—
24C5×#533C2211yescharacteristic
25C5×#529C2211yescharacteristic
26C2×C5×#124C2211yescharacteristic
27C2×C5×C22⋊Q8—21no—
28C2×C5×#121—21no—
29C2×C4×C5×D4C2211yescharacteristic
30C5×#484C2211yescharacteristic
31C5×#484C2212yes—
32C5×#481C2211yescharacteristic
33C5×#478—21no—
34C5×#474—21no—
35C5×#463—21no—
36C5×#461—21no—
37C5×#450C2211yescharacteristic
38C5×#450C2212yes—
39C5×#447C2211yescharacteristic
40C5×#440—22no—
41C4×C5×SD16—21no—
42C4×C5×D8—21no—
43C5×#432C2211yescharacteristic
44C5×#431C2211yescharacteristic
45C5×#399C2212yes—
46C5×#392C2212yes—
47C5×#390—22no—
48C4×C5×C4⋊C4C2211yescharacteristic
49C5×#328C2212yes—
50C5×#328C2212yes—
51C5×#328C2212yes—
52C5×#327C2212yes—
53C5×#323C2212yes—
54C5×#323C2212yes—
55#18274C511yesmaximal, characteristic, direct product factor, Sylow
56C2×C5×#41—21no—
57C22×C5×Q8—21no—
58C22×C5×Q8D411yescharacteristic
59C22×C5×D4—22no—
60C22×C5×D4D411yescharacteristic
61C22×C5×D4C2311yescharacteristic
62C23×C4×C5—21no—
63C2×C5×SD16—21no—
64C2×C5×SD16—22no—
65C2×C5×D8—21no—
66C5×C4⋊Q8—21no—
67C5×C4⋊Q8—22no—
68C5×C4⋊Q8D411yescharacteristic, complemented
69C5×C4⋊Q8D411yescharacteristic, complemented
70C5×#126—22no—
71C5×#126—22no—
72C5×#126—22no—
73C5×#126—21no—
74C5×#125—21no—
75C5×#125D411yescharacteristic, complemented
76C5×#124—21no—
77C5×#124—22no—
78C5×#124—22no—
79C5×#124—21no—
80C5×#124—21no—
81C5×#124—21no—
82C5×#124—21no—
83C5×#124D411yescharacteristic, complemented
84C5×#123—22no—
85C5×#123—22no—
86C5×#123—22no—
87C5×#123—21no—
88C5×#123—22no—
89C5×C22⋊Q8—22no—
90C5×C22⋊Q8—21no—
91C5×C22⋊Q8—22no—
92C5×C22⋊Q8—22no—
93C5×C22⋊Q8—22no—
94C5×C22⋊Q8—21no—
95C5×C22⋊Q8—22no—
96C5×C22⋊Q8—22no—
97C5×C22⋊Q8—22no—
98C5×C22⋊Q8—44no—
99C5×C22⋊Q8C2311yescharacteristic
100C5×C22⋊Q8C2312yes—
101C5×#121—21no—
102C5×#121—22no—
103C5×#121—22no—
104C5×#121—44no—
105C5×#121C2311yescharacteristic
106C5×#120—22no—
107C4×C5×Q8—21no—
108C4×C5×Q8—21no—
109C4×C5×Q8D411yescharacteristic, complemented
110C4×C5×Q8D412yescomplemented
111C4×C5×D4—21no—
112C4×C5×D4—22no—
113C4×C5×D4—21no—
114C4×C5×D4—22no—
115C4×C5×D4—21no—
116C4×C5×D4—21no—
117C4×C5×D4—21no—
118C4×C5×D4—21no—
119C4×C5×D4D411yescharacteristic, complemented
120C5×#117—22no—
121C5×#117—21no—
122C5×#117—21no—
123C2×C5×C4⋊C4—21no—
124C2×C5×C4⋊C4—22no—
125C2×C5×C4⋊C4C2311yescharacteristic
126C2×C5×C22⋊C4—22no—
127C2×C5×C22⋊C4—22no—
128C2×C5×C22⋊C4—21no—
129C2×C5×C22⋊C4—22no—
130C2×C5×C22⋊C4D412yes—
131C2×C5×C22⋊C4C2312yes—
132C2×C42×C5—21no—
133C2×C42×C5C2311yescharacteristic
134C5×#107—21no—
135C5×#107—22no—
136C5×#106—21no—
137C5×C4⋊C8—21no—
138C5×C4⋊C8—21no—
139C5×#103—21no—
140C5×#103—22no—
141C5×#102—21no—
142C5×#102—21no—
143C5×#102—21no—
144C5×#102—22no—
145C5×C22⋊C8C2312yes—
146C5×C22⋊C8C2311yescharacteristic
147C5×C22⋊C8C2311yescharacteristic
148C5×#97—21no—
149C4×C5×C8—21no—
150C5×#95C2312yes—
151#3561C2×C511yescharacteristic, complemented
152#3110C2×C511yescharacteristic, complemented
153#3105C2×C511yescharacteristic, complemented
154#2540C2×C511yescharacteristic, complemented
155#1618C2×C512yescomplemented
156#1614C2×C512yescomplemented
157#1600C2×C512yescomplemented
158#1596C2×C512yescomplemented
159#1509C2×C511yescharacteristic, complemented
160#1503C2×C511yescharacteristic, complemented
161#1469C2×C511yescharacteristic, complemented
162C24×C5—21no—
163C24×C5C2×D412yes—
164C5×#41—82no—
165C2×C5×Q8—22no—
166C2×C5×Q8—21no—
167C2×C5×Q8—21no—
168C2×C5×Q8—21no—
169C2×C5×Q8—42no—
170C2×C5×Q8—82no—
171C2×C5×Q8C2×D411yescharacteristic
172C2×C5×Q8C2×D412yes—
173C2×C5×D4—21no—
174C2×C5×D4—22no—
175C2×C5×D4—22no—
176C2×C5×D4—21no—
177C2×C5×D4—21no—
178C2×C5×D4—21no—
179C2×C5×D4—21no—
180C2×C5×D4—42no—
181C2×C5×D4—44no—
182C2×C5×D4—42no—
183C2×C5×D4—44no—
184C2×C5×D4—82no—
185C2×C5×D4C2×D411yescharacteristic
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—21no—
191C22×C4×C5—21no—
192C22×C4×C5—42no—
193C22×C4×C5—42no—
194C22×C4×C5—41no—
195C22×C4×C5—41no—
196C22×C4×C5C2×D411yescharacteristic
197C22×C4×C5C2×D411yescharacteristic
198C22×C4×C5C2×D412yes—
199C22×C4×C5C2411yescharacteristic
200C5×SD16—42no—
201C5×SD16—44no—
202C5×D8—42no—
203C2×C5×C8—21no—
204C2×C5×C8—21no—
205C2×C5×C8—22no—
206C5×C4⋊C4—24no—
207C5×C4⋊C4—22no—
208C5×C4⋊C4—22no—
209C5×C4⋊C4—22no—
210C5×C4⋊C4—22no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—21no—
215C5×C4⋊C4—21no—
216C5×C4⋊C4—21no—
217C5×C4⋊C4—22no—
218C5×C4⋊C4—21no—
219C5×C4⋊C4—22no—
220C5×C4⋊C4—21no—
221C5×C4⋊C4—21no—
222C5×C4⋊C4—44no—
223C5×C4⋊C4C2×D411yescharacteristic
224C5×C4⋊C4C2×D411yescharacteristic
225C5×C4⋊C4C2×D412yes—
226C5×C22⋊C4—22no—
227C5×C22⋊C4—22no—
228C5×C22⋊C4—22no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4—22no—
231C5×C22⋊C4—21no—
232C5×C22⋊C4—22no—
233C5×C22⋊C4—22no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—21no—
236C5×C22⋊C4—21no—
237C5×C22⋊C4—21no—
238C5×C22⋊C4—22no—
239C5×C22⋊C4—22no—
240C5×C22⋊C4—21no—
241C5×C22⋊C4—44no—
242C5×C22⋊C4—44no—
243C5×C22⋊C4—41no—
244C5×C22⋊C4—41no—
245C42×C5—22no—
246C42×C5—22no—
247C42×C5—21no—
248C42×C5—81no—
249C42×C5C2×D411yescharacteristic
250C42×C5C2×D411yescharacteristic
251C42×C5C2×D411yescharacteristic
252C42×C5C2×D411yescharacteristic
253#563—21no—
254#562—21no—
255#556—21no—
256#551—22no—
257D4×Q8—21no—
258#548—21no—
259#546—21no—
260#543C22×C512yes—
261#542—21no—
262#542—22no—
263#538C22×C512yes—
264#536—21no—
265#533C22×C511yescharacteristic
266#529C22×C511yescharacteristic
267C2×#124C22×C511yescharacteristic
268C2×C22⋊Q8—21no—
269C2×#121—21no—
270C2×C4×D4C22×C511yescharacteristic
271#484C22×C511yescharacteristic
272#484C22×C512yes—
273#481C22×C511yescharacteristic
274#478—21no—
275#474—21no—
276#463—21no—
277#461—21no—
278#450C22×C511yescharacteristic
279#450C22×C512yes—
280#447C22×C511yescharacteristic
281#440—22no—
282C4×SD16—21no—
283C4×D8—21no—
284#432C22×C511yescharacteristic
285#431C22×C511yescharacteristic
286#399C22×C512yes—
287#392C22×C512yes—
288#390—22no—
289C4×C4⋊C4C22×C511yescharacteristic
290#328C22×C512yes—
291#328C22×C512yes—
292#328C22×C512yes—
293#327C22×C512yes—
294#323C22×C512yes—
295#323C22×C512yes—
296C23×C5—22no—
297C23×C5—22no—
298C23×C5—21no—
299C23×C5—22no—
300C23×C5—22no—
301C23×C5—41no—
302C23×C5—41no—
303C23×C5—41no—
304C23×C5—42no—
305C23×C5—42no—
306C23×C5—41no—
307C23×C5—41no—
308C23×C5—41no—
309C23×C5C22×D411yescharacteristic
310C5×Q8—41no—
311C5×Q8—42no—
312C5×Q8—42no—
313C5×Q8—42no—
314C5×Q8—81no—
315C5×Q8—82no—
316C5×D4—22no—
317C5×D4—22no—
318C5×D4—41no—
319C5×D4—41no—
320C5×D4—41no—
321C5×D4—41no—
322C5×D4—41no—
323C5×D4—42no—
324C5×D4—81no—
325C5×D4—82no—
326C5×D4—82no—
327C5×D4—88no—
328C2×C4×C5—21no—
329C2×C4×C5—21no—
330C2×C4×C5—22no—
331C2×C4×C5—24no—
332C2×C4×C5—21no—
333C2×C4×C5—22no—
334C2×C4×C5—21no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—21no—
338C2×C4×C5—41no—
339C2×C4×C5—42no—
340C2×C4×C5—42no—
341C2×C4×C5—42no—
342C2×C4×C5—42no—
343C2×C4×C5—41no—
344C2×C4×C5—41no—
345C2×C4×C5—41no—
346C2×C4×C5—82no—
347C2×C4×C5—82no—
348C2×C4×C5—82no—
349C2×C4×C5—82no—
350C2×C4×C5—82no—
351C2×C4×C5#12011yescharacteristic
352C2×C4×C5#12011yescharacteristic
353C2×C4×C5#12011yescharacteristic
354C2×C4×C5#12011yescharacteristic
355C2×C4×C5C22×D411yescharacteristic
356C2×C4×C5C22×D411yescharacteristic
357C5×C8—41no—
358C5×C8—41no—
359C5×C8—42no—
360C2×#41—21no—
361C22×Q8—21no—
362C22×Q8C5×D411yescharacteristic
363C22×D4—22no—
364C22×D4C5×D411yescharacteristic
365C22×D4C23×C511yescharacteristic
366C23×C4—21no—
367C2×SD16—21no—
368C2×SD16—22no—
369C2×D8—21no—
370C4⋊Q8—21no—
371C4⋊Q8—22no—
372C4⋊Q8C5×D411yescharacteristic, complemented
373C4⋊Q8C5×D411yescharacteristic, complemented
374#126—22no—
375#126—22no—
376#126—22no—
377#126—21no—
378#125—21no—
379#125C5×D411yescharacteristic, complemented
380#124—21no—
381#124—22no—
382#124—22no—
383#124—21no—
384#124—21no—
385#124—21no—
386#124—21no—
387#124C5×D411yescharacteristic, complemented
388#123—22no—
389#123—22no—
390#123—22no—
391#123—21no—
392#123—22no—
393C22⋊Q8—22no—
394C22⋊Q8—21no—
395C22⋊Q8—22no—
396C22⋊Q8—22no—
397C22⋊Q8—22no—
398C22⋊Q8—21no—
399C22⋊Q8—22no—
400C22⋊Q8—22no—
401C22⋊Q8—22no—
402C22⋊Q8—44no—
403C22⋊Q8C23×C511yescharacteristic
404C22⋊Q8C23×C512yes—
405#121—21no—
406#121—22no—
407#121—22no—
408#121—44no—
409#121C23×C511yescharacteristic
410#120—22no—
411C4×Q8—21no—
412C4×Q8—21no—
413C4×Q8C5×D411yescharacteristic, complemented
414C4×Q8C5×D412yescomplemented
415C4×D4—21no—
416C4×D4—22no—
417C4×D4—21no—
418C4×D4—22no—
419C4×D4—21no—
420C4×D4—21no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4C5×D411yescharacteristic, complemented
424#117—22no—
425#117—21no—
426#117—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4C23×C511yescharacteristic
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4C5×D412yes—
435C2×C22⋊C4C23×C512yes—
436C2×C42—21no—
437C2×C42C23×C511yescharacteristic
438#107—21no—
439#107—22no—
440#106—21no—
441C4⋊C8—21no—
442C4⋊C8—21no—
443#103—21no—
444#103—22no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—22no—
449C22⋊C8C23×C512yes—
450C22⋊C8C23×C511yescharacteristic
451C22⋊C8C23×C511yescharacteristic
452#97—21no—
453C4×C8—21no—
454#95C23×C512yes—
455C22×C5—21no—
456C22×C5—21no—
457C22×C5—42no—
458C22×C5—42no—
459C22×C5—41no—
460C22×C5—42no—
461C22×C5—41no—
462C22×C5—42no—
463C22×C5—42no—
464C22×C5—42no—
465C22×C5—41no—
466C22×C5—82no—
467C22×C5—82no—
468C22×C5—81no—
469C22×C5—81no—
470C22×C5—81no—
471C22×C5—81no—
472C22×C5C2×#12011yescharacteristic
473C22×C5#57711yescharacteristic
474C22×C5#57811yescharacteristic
475C4×C5—21no—
476C4×C5—21no—
477C4×C5—21no—
478C4×C5—21no—
479C4×C5—21no—
480C4×C5—44no—
481C4×C5—41no—
482C4×C5—41no—
483C4×C5—42no—
484C4×C5—42no—
485C4×C5—41no—
486C4×C5—42no—
487C4×C5—81no—
488C4×C5#45312yes—
489C24—21no—
490C24C2×C5×D412yes—
491#41—82no—
492C2×Q8—22no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—42no—
497C2×Q8—82no—
498C2×Q8C2×C5×D411yescharacteristic
499C2×Q8C2×C5×D412yes—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—42no—
508C2×D4—44no—
509C2×D4—42no—
510C2×D4—44no—
511C2×D4—82no—
512C2×D4C2×C5×D411yescharacteristic
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4C2×C5×D411yescharacteristic
524C22×C4C2×C5×D411yescharacteristic
525C22×C4C2×C5×D412yes—
526C22×C4C24×C511yescharacteristic
527SD16—42no—
528SD16—44no—
529D8—42no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—22no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—44no—
550C4⋊C4C2×C5×D411yescharacteristic
551C4⋊C4C2×C5×D411yescharacteristic
552C4⋊C4C2×C5×D412yes—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—41no—
571C22⋊C4—41no—
572C42—22no—
573C42—22no—
574C42—21no—
575C42—81no—
576C42C2×C5×D411yescharacteristic
577C42C2×C5×D411yescharacteristic
578C42C2×C5×D411yescharacteristic
579C42C2×C5×D411yescharacteristic
580C2×C5—21no—
581C2×C5—21no—
582C2×C5—81no—
583C2×C5—82no—
584C2×C5—82no—
585C2×C5#301311yescharacteristic
586C2×C5C2×#45311yescharacteristic
587C2×C5#302511yescharacteristic
588C23—22no—
589C23—22no—
590C23—21no—
591C23—22no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23C22×C5×D411yescharacteristic
602Q8—41no—
603Q8—42no—
604Q8—42no—
605Q8—42no—
606Q8—81no—
607Q8—82no—
608D4—22no—
609D4—22no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—42no—
616D4—81no—
617D4—82no—
618D4—82no—
619D4—88no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—82no—
639C2×C4—82no—
640C2×C4—82no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4C5×#12011yescharacteristic
644C2×C4C5×#12011yescharacteristic
645C2×C4C5×#12011yescharacteristic
646C2×C4C5×#12011yescharacteristic
647C2×C4C22×C5×D411yescharacteristic
648C2×C4C22×C5×D411yescharacteristic
649C8—41no—
650C8—41no—
651C8—42no—
652C5#1827411yescharacteristic, direct product factor, Sylow
653C22—21no—
654C22—21no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—41no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—41no—
664C22—82no—
665C22—82no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22C2×C5×#12011yescharacteristic
671C22C5×#57711yescharacteristic
672C22C5×#57811yescharacteristic
673C4—21no—
674C4—21no—
675C4—21no—
676C4—21no—
677C4—21no—
678C4—44no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—81no—
686C4C5×#45312yes—
687C2—21no—
688C2—21no—
689C2—82no—
690C2—82no—
691C2—81no—
692C2C5×#301311yescharacteristic
693C2C2×C5×#45311yescharacteristic
694C2C5×#302511yescharacteristic
subgroupG/H
center, socleC22×C5C2×#120
commutator, Frattini, cosocleC22×C4C24×C5
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C5 ◁ C2×C42×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C5×#3561C2semidirect
2. C5×#3110C2semidirect
3. C5×#3105C2semidirect
4. C5×#2540C2semidirect
5. C5×#1618C2semidirect
6. C5×#1614C2semidirect
7. C5×#1600C2semidirect
8. C5×#1596C2semidirect
9. C5×#1509C2semidirect
10. C5×#1503C2semidirect
11. C5×#1469C2semidirect
55. #18274C5direct (N × H)
68. C5×C4⋊Q8D4semidirect
69. C5×C4⋊Q8D4semidirect
75. C5×#125D4semidirect
83. C5×#124D4semidirect
109. C4×C5×Q8D4semidirect
110. C4×C5×Q8D4semidirect
119. C4×C5×D4D4semidirect
151. #3561C2×C5semidirect
152. #3110C2×C5semidirect
153. #3105C2×C5semidirect
154. #2540C2×C5semidirect
155. #1618C2×C5semidirect
156. #1614C2×C5semidirect
157. #1600C2×C5semidirect
158. #1596C2×C5semidirect
159. #1509C2×C5semidirect
160. #1503C2×C5semidirect
161. #1469C2×C5semidirect
372. C4⋊Q8C5×D4semidirect
373. C4⋊Q8C5×D4semidirect
379. #125C5×D4semidirect
387. #124C5×D4semidirect
413. C4×Q8C5×D4semidirect
414. C4×Q8C5×D4semidirect
423. C4×D4C5×D4semidirect
652. C5#18274direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#35612
C5×#31102
C5×#31052
C5×#25402
C5×#16182
C5×#16142
C5×#16002
C5×#15962
C5×#15092
C5×#15032
C5×#14692
#182745