Finite Group Databasebeta

← C5×#26385 #11949105

Subgroups — C5×#26385 #11949105

Order 1280.

850 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#475C211yesmaximal, characteristic, complemented
2C2×C5×#440C211yesmaximal, characteristic
3C5×#2452C211yesmaximal, characteristic
4C5×#2351C211yesmaximal, characteristic, complemented
5C5×#2092C211yesmaximal, characteristic
6C5×#2085C211yesmaximal, characteristic, complemented
7C5×#2067C211yesmaximal, characteristic
8C5×#2057C211yesmaximal, characteristic, complemented
9C5×#1943C211yesmaximal, characteristic, complemented
10C5×#1917C211yesmaximal, characteristic, complemented
11C5×#1880C211yesmaximal, characteristic
12C5×#1880C211yesmaximal, characteristic
13C5×#1864C211yesmaximal, characteristic
14C5×#1863C211yesmaximal, characteristic, complemented
15C5×#1863C211yesmaximal, characteristic, complemented
16C22×C5×SD16C2211yescharacteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×C22⋊Q8—21no—
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×C4×C5×Q8C2211yescharacteristic
22C2×C4×C5×D4C2211yescharacteristic
23C5×#475—24no—
24C5×#440—24no—
25C2×C5×#107C2211yescharacteristic
26C2×C5×#107C2211yescharacteristic
27C2×C5×#107C2211yescharacteristic
28C2×C5×#106C2211yescharacteristic
29C2×C5×#106C2211yescharacteristic
30C2×C5×C4⋊C8C2211yescharacteristic
31C2×C5×#103C2211yescharacteristic
32C2×C5×#103C2211yescharacteristic
33C2×C5×#103C2211yescharacteristic
34C2×C5×#102C2211yescharacteristic
35C2×C5×#102C2211yescharacteristic
36C2×C5×#102C2211yescharacteristic
37C2×C5×#97C2211yescharacteristic
38C5×#396—21no—
39C5×#393—21no—
40C5×#390C2211yescharacteristic
41C5×#390C2211yescharacteristic
42C5×#389—21no—
43C5×#389—21no—
44C5×#389C2211yescharacteristic
45C5×#389C2211yescharacteristic
46C5×#389C2211yescharacteristic
47C5×#389C2211yescharacteristic
48C5×#385—21no—
49C5×#382—21no—
50C5×#382C2211yescharacteristic
51C4×C5×C4⋊C4—21no—
52C4×C5×C4⋊C4C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#336C2211yescharacteristic
58C5×#336C2211yescharacteristic
59C5×#336C2211yescharacteristic
60C5×#336C2211yescharacteristic
61#26385C511yesmaximal, characteristic, direct product factor, Sylow
62C22×C5×Q8—21no—
63C22×C5×Q8C2311yescharacteristic
64C22×C5×D4C2311yescharacteristic
65C23×C4×C5—21no—
66C2×C5×SD16—22no—
67C2×C5×SD16—22no—
68C2×C5×SD16Q814yescomplemented
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C22×C5×C8C2311yescharacteristic
72C22×C5×C8C2311yescharacteristic
73C5×C4⋊Q8—22no—
74C5×C4⋊Q8—41no—
75C5×C22⋊Q8—44no—
76C4×C5×Q8—22no—
77C4×C5×Q8—22no—
78C4×C5×Q8—22no—
79C4×C5×Q8—22no—
80C4×C5×Q8—41no—
81C4×C5×Q8—41no—
82C4×C5×D4—22no—
83C4×C5×D4—41no—
84C2×C5×C4⋊C4—21no—
85C2×C5×C4⋊C4—21no—
86C2×C5×C4⋊C4—21no—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—21no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4D411yescharacteristic
93C2×C5×C4⋊C4D411yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C5×C22⋊C4—21no—
104C2×C5×C22⋊C4—21no—
105C2×C42×C5—21no—
106C2×C42×C5—21no—
107C2×C42×C5—21no—
108C2×C42×C5C2311yescharacteristic
109C2×C42×C5C2311yescharacteristic
110C2×C42×C5C2311yescharacteristic
111C5×#107—22no—
112C5×#107—22no—
113C5×#107—41no—
114C5×#106—22no—
115C5×#106—22no—
116C5×C4⋊C8—22no—
117C5×#103—22no—
118C5×#103—22no—
119C5×#103D414yes—
120C5×#102—22no—
121C5×#102—22no—
122C5×#102—41no—
123C5×#97—22no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C5×#95D411yescharacteristic
131C5×#95D411yescharacteristic
132C2×#475C2×C511yescharacteristic, complemented
133C2×#440C2×C511yescharacteristic
134#2452C2×C511yescharacteristic
135#2351C2×C511yescharacteristic, complemented
136#2092C2×C511yescharacteristic
137#2085C2×C511yescharacteristic, complemented
138#2067C2×C511yescharacteristic
139#2057C2×C511yescharacteristic, complemented
140#1943C2×C511yescharacteristic, complemented
141#1917C2×C511yescharacteristic, complemented
142#1880C2×C511yescharacteristic
143#1880C2×C511yescharacteristic
144#1864C2×C511yescharacteristic
145#1863C2×C511yescharacteristic, complemented
146#1863C2×C511yescharacteristic, complemented
147C24×C5—21no—
148C2×C5×Q8—21no—
149C2×C5×Q8—21no—
150C2×C5×Q8—21no—
151C2×C5×Q8—42no—
152C2×C5×Q8—42no—
153C2×C5×Q8—81no—
154C2×C5×Q8C2×D412yes—
155C2×C5×Q8C2×Q812yes—
156C2×C5×Q8#4112yes—
157C2×C5×D4—21no—
158C2×C5×D4—21no—
159C2×C5×D4—21no—
160C2×C5×D4—21no—
161C2×C5×D4—21no—
162C2×C5×D4C2×Q812yes—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—21no—
166C22×C4×C5—21no—
167C22×C4×C5—21no—
168C22×C4×C5—21no—
169C22×C4×C5—21no—
170C22×C4×C5—42no—
171C22×C4×C5—42no—
172C22×C4×C5—81no—
173C22×C4×C5C2×D411yescharacteristic
174C22×C4×C5C2×D411yescharacteristic
175C22×C4×C5C2×D411yescharacteristic
176C22×C4×C5C2×D411yescharacteristic
177C22×C4×C5C2×D411yescharacteristic
178C22×C4×C5C2×D411yescharacteristic
179C22×C4×C5C2411yescharacteristic
180C5×SD16—28no—
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—21no—
185C2×C5×C8—21no—
186C2×C5×C8—21no—
187C2×C5×C8—21no—
188C2×C5×C8—21no—
189C2×C5×C8—21no—
190C2×C5×C8—21no—
191C2×C5×C8C2×D412yes—
192C2×C5×C8C2×Q812yes—
193C5×C4⋊C4—24no—
194C5×C4⋊C4—22no—
195C5×C4⋊C4—21no—
196C5×C4⋊C4—21no—
197C5×C4⋊C4—21no—
198C5×C4⋊C4—21no—
199C5×C4⋊C4—21no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
202C5×C4⋊C4—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—21no—
205C5×C4⋊C4—41no—
206C5×C4⋊C4—42no—
207C5×C4⋊C4—42no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—42no—
210C5×C4⋊C4—42no—
211C5×C4⋊C4—42no—
212C5×C4⋊C4—42no—
213C5×C4⋊C4C2×D412yes—
214C5×C4⋊C4#4112yes—
215C5×C22⋊C4—42no—
216C5×C22⋊C4—42no—
217C5×C22⋊C4—42no—
218C5×C22⋊C4—42no—
219C5×C22⋊C4—81no—
220C42×C5—24no—
221C42×C5—21no—
222C42×C5—21no—
223C42×C5—21no—
224C42×C5—21no—
225C42×C5—21no—
226C42×C5—21no—
227C42×C5—42no—
228C42×C5—42no—
229C22×SD16C22×C511yescharacteristic
230C2×C4⋊Q8C22×C511yescharacteristic
231C2×C22⋊Q8—21no—
232C2×C4×Q8C22×C511yescharacteristic
233C2×C4×Q8C22×C511yescharacteristic
234C2×C4×Q8C22×C511yescharacteristic
235C2×C4×D4C22×C511yescharacteristic
236#475—24no—
237#440—24no—
238C2×#107C22×C511yescharacteristic
239C2×#107C22×C511yescharacteristic
240C2×#107C22×C511yescharacteristic
241C2×#106C22×C511yescharacteristic
242C2×#106C22×C511yescharacteristic
243C2×C4⋊C8C22×C511yescharacteristic
244C2×#103C22×C511yescharacteristic
245C2×#103C22×C511yescharacteristic
246C2×#103C22×C511yescharacteristic
247C2×#102C22×C511yescharacteristic
248C2×#102C22×C511yescharacteristic
249C2×#102C22×C511yescharacteristic
250C2×#97C22×C511yescharacteristic
251#396—21no—
252#393—21no—
253#390C22×C511yescharacteristic
254#390C22×C511yescharacteristic
255#389—21no—
256#389—21no—
257#389C22×C511yescharacteristic
258#389C22×C511yescharacteristic
259#389C22×C511yescharacteristic
260#389C22×C511yescharacteristic
261#385—21no—
262#382—21no—
263#382C22×C511yescharacteristic
264C4×C4⋊C4—21no—
265C4×C4⋊C4C22×C511yescharacteristic
266#340C22×C511yescharacteristic
267#340C22×C511yescharacteristic
268#340C22×C511yescharacteristic
269#340C22×C511yescharacteristic
270#336C22×C511yescharacteristic
271#336C22×C511yescharacteristic
272#336C22×C511yescharacteristic
273#336C22×C511yescharacteristic
274C23×C5—22no—
275C23×C5—41no—
276C23×C5—41no—
277C23×C5—41no—
278C23×C5—41no—
279C23×C5—41no—
280C23×C5—41no—
281C23×C5C22×D411yescharacteristic
282C5×Q8—22no—
283C5×Q8—22no—
284C5×Q8—22no—
285C5×Q8—84no—
286C5×Q8C22⋊Q814yescomplemented
287C5×D4—22no—
288C5×D4—22no—
289C5×D4—41no—
290C5×D4—41no—
291C2×C4×C5—22no—
292C2×C4×C5—21no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—21no—
296C2×C4×C5—21no—
297C2×C4×C5—21no—
298C2×C4×C5—22no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—21no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—21no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
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—84no—
330C2×C4×C5AGL(1,ℤ/8)12yes—
331C2×C4×C5C22×D411yescharacteristic
332C2×C4×C5C22×Q811yescharacteristic
333C2×C4×C5C2×#4111yescharacteristic
334C2×C4×C5C2×#4111yescharacteristic
335C2×C4×C5H(5,𝔽2)11yescharacteristic
336C2×C4×C52−1+411yescharacteristic
337C5×C8—22no—
338C5×C8—22no—
339C5×C8—41no—
340C5×C8—41no—
341C22×Q8—21no—
342C22×Q8C23×C511yescharacteristic
343C22×D4C23×C511yescharacteristic
344C23×C4—21no—
345C2×SD16—22no—
346C2×SD16—22no—
347C2×SD16C5×Q814yescomplemented
348C22×C8C23×C511yescharacteristic
349C22×C8C23×C511yescharacteristic
350C22×C8C23×C511yescharacteristic
351C22×C8C23×C511yescharacteristic
352C4⋊Q8—22no—
353C4⋊Q8—41no—
354C22⋊Q8—44no—
355C4×Q8—22no—
356C4×Q8—22no—
357C4×Q8—22no—
358C4×Q8—22no—
359C4×Q8—41no—
360C4×Q8—41no—
361C4×D4—22no—
362C4×D4—41no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4C5×D411yescharacteristic
372C2×C4⋊C4C5×D411yescharacteristic
373C2×C4⋊C4C23×C511yescharacteristic
374C2×C4⋊C4C23×C511yescharacteristic
375C2×C4⋊C4C23×C511yescharacteristic
376C2×C4⋊C4C23×C511yescharacteristic
377C2×C4⋊C4C23×C511yescharacteristic
378C2×C4⋊C4C23×C511yescharacteristic
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42C23×C511yescharacteristic
388C2×C42C23×C511yescharacteristic
389C2×C42C23×C511yescharacteristic
390#107—22no—
391#107—22no—
392#107—41no—
393#106—22no—
394#106—22no—
395C4⋊C8—22no—
396#103—22no—
397#103—22no—
398#103C5×D414yes—
399#102—22no—
400#102—22no—
401#102—41no—
402#97—22no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95C5×D411yescharacteristic
410#95C5×D411yescharacteristic
411C22×C5—42no—
412C22×C5—42no—
413C22×C5—42no—
414C22×C5—81no—
415C22×C5—81no—
416C22×C5—81no—
417C22×C5—81no—
418C22×C5#52511yescharacteristic
419C22×C5D4211yescharacteristic
420C22×C5D4×Q811yescharacteristic
421C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
422C22×C5#57511yescharacteristic
423C22×C5#57711yescharacteristic
424C22×C5#57811yescharacteristic
425C4×C5—24no—
426C4×C5—22no—
427C4×C5—41no—
428C4×C5—42no—
429C4×C5—41no—
430C4×C5—41no—
431C4×C5—42no—
432C4×C5—41no—
433C4×C5—41no—
434C4×C5—81no—
435C4×C5—81no—
436C4×C5—81no—
437C4×C5—81no—
438C4×C5C2×C22⋊Q811yescharacteristic
439C4×C5#53911yescharacteristic
440C4×C5#54711yescharacteristic
441C4×C5#55411yescharacteristic
442C24—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—21no—
446C2×Q8—42no—
447C2×Q8—42no—
448C2×Q8—81no—
449C2×Q8C2×C5×D412yes—
450C2×Q8C2×C5×Q812yes—
451C2×Q8C5×#4112yes—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4C2×C5×Q812yes—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—81no—
468C22×C4C2×C5×D411yescharacteristic
469C22×C4C2×C5×D411yescharacteristic
470C22×C4C2×C5×D411yescharacteristic
471C22×C4C2×C5×D411yescharacteristic
472C22×C4C2×C5×D411yescharacteristic
473C22×C4C2×C5×D411yescharacteristic
474C22×C4C24×C511yescharacteristic
475SD16—28no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8C2×C5×D412yes—
487C2×C8C2×C5×Q812yes—
488C4⋊C4—24no—
489C4⋊C4—22no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—41no—
501C4⋊C4—42no—
502C4⋊C4—42no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4C2×C5×D412yes—
509C4⋊C4C5×#4112yes—
510C22⋊C4—42no—
511C22⋊C4—42no—
512C22⋊C4—42no—
513C22⋊C4—42no—
514C22⋊C4—81no—
515C42—24no—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—42no—
523C42—42no—
524C2×C5—82no—
525C2×C5#244911yescharacteristic
526C2×C5#311511yescharacteristic
527C2×C5#312111yescharacteristic
528C2×C5#326511yescharacteristic
529C2×C5#327711yescharacteristic
530C2×C5#338611yescharacteristic
531C2×C5#338811yescharacteristic
532C23—22no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23C22×C5×D411yescharacteristic
540Q8—22no—
541Q8—22no—
542Q8—22no—
543Q8—84no—
544Q8C5×C22⋊Q814yescomplemented
545D4—22no—
546D4—22no—
547D4—41no—
548D4—41no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
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—84no—
588C2×C4C5×AGL(1,ℤ/8)12yes—
589C2×C4C22×C5×D411yescharacteristic
590C2×C4C22×C5×Q811yescharacteristic
591C2×C4C2×C5×#4111yescharacteristic
592C2×C4C2×C5×#4111yescharacteristic
593C2×C4C5×H(5,𝔽2)11yescharacteristic
594C2×C4C5×2−1+411yescharacteristic
595C8—22no—
596C8—22no—
597C8—41no—
598C8—41no—
599C5#2638511yescharacteristic, direct product factor, Sylow
600C22—42no—
601C22—42no—
602C22—42no—
603C22—81no—
604C22—81no—
605C22—81no—
606C22—81no—
607C22C5×#52511yescharacteristic
608C22C5×D4211yescharacteristic
609C22C5×D4×Q811yescharacteristic
610C22C2×C5×AGL(1,ℤ/8)11yescharacteristic
611C22C5×#57511yescharacteristic
612C22C5×#57711yescharacteristic
613C22C5×#57811yescharacteristic
614C4—22no—
615C4—24no—
616C4—41no—
617C4—42no—
618C4—41no—
619C4—41no—
620C4—41no—
621C4—42no—
622C4—41no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4—81no—
627C4C2×C5×C22⋊Q811yescharacteristic
628C4C5×#53911yescharacteristic
629C4C5×#54711yescharacteristic
630C4C5×#55411yescharacteristic
631C2—82no—
632C2C5×#244911yescharacteristic
633C2C5×#311511yescharacteristic
634C2C5×#312111yescharacteristic
635C2C5×#326511yescharacteristic
636C2C5×#327711yescharacteristic
637C2C5×#338611yescharacteristic
638C2C5×#338811yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutator, Frattini, cosocleC22×C4C24×C5
prime radicalC22×C5×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C4×C5×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C5×#475C2semidirect
4. C5×#2351C2semidirect
6. C5×#2085C2semidirect
8. C5×#2057C2semidirect
9. C5×#1943C2semidirect
10. C5×#1917C2semidirect
14. C5×#1863C2semidirect
15. C5×#1863C2semidirect
61. #26385C5direct (N × H)
68. C2×C5×SD16Q8semidirect
132. C2×#475C2×C5semidirect
135. #2351C2×C5semidirect
137. #2085C2×C5semidirect
139. #2057C2×C5semidirect
140. #1943C2×C5semidirect
141. #1917C2×C5semidirect
145. #1863C2×C5semidirect
146. #1863C2×C5semidirect
286. C5×Q8C22⋊Q8semidirect
347. C2×SD16C5×Q8semidirect
544. Q8C5×C22⋊Q8semidirect
599. C5#26385direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#4752
C2×C5×#4402
C5×#24522
C5×#23512
C5×#20922
C5×#20852
C5×#20672
C5×#20572
C5×#19432
C5×#19172
C5×#18802
C5×#18642
C5×#18632
#263855