Finite Group Databasebeta

← C5×#21843 #11944563

Subgroups — C5×#21843 #11944563

Order 1280.

970 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#544C211yesmaximal, characteristic
2C2×C5×#433C211yesmaximal, characteristic
3C5×#2314C211yesmaximal, characteristic
4C5×#1993C211yesmaximal, characteristic, complemented
5C5×#1992C211yesmaximal, characteristic, complemented
6C5×#1991C211yesmaximal, characteristic, complemented
7C5×#1990C211yesmaximal, characteristic, complemented
8C5×#1989C211yesmaximal, characteristic, complemented
9C5×#1989C211yesmaximal, characteristic, complemented
10C5×#1988C211yesmaximal, characteristic, complemented
11C5×#1987C211yesmaximal, characteristic, complemented
12C5×#1825C211yesmaximal, characteristic
13C5×#1825C211yesmaximal, characteristic
14C5×#1824C211yesmaximal, characteristic
15C5×#1823C211yesmaximal, characteristic
16C5×#544—24no—
17C5×#544C418yescomplemented
18C2×C5×C4⋊Q8—21no—
19C2×C5×C4⋊Q8C2211yescharacteristic
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C5×#125—21no—
22C2×C5×#125C2211yescharacteristic
23C2×C5×#125C2211yescharacteristic
24C2×C5×C22⋊Q8—21no—
25C2×C5×C22⋊Q8—21no—
26C2×C5×#117C2211yescharacteristic
27C2×C5×#117C2211yescharacteristic
28C22×C5×C4⋊C4C2211yescharacteristic
29C5×#433—24no—
30C2×C5×C4⋊C8C2211yescharacteristic
31C2×C5×C4⋊C8C2211yescharacteristic
32C2×C5×C22⋊C8C2211yescharacteristic
33C2×C5×C22⋊C8C2211yescharacteristic
34C2×C5×#97C2211yescharacteristic
35C2×C4×C5×C8C2211yescharacteristic
36C5×#388—21no—
37C5×#388—21no—
38C5×#387—21no—
39C5×#387—21no—
40C5×#384C2211yescharacteristic
41C5×#382C2211yescharacteristic
42C5×#380C2211yescharacteristic
43C5×#380C2211yescharacteristic
44C4×C5×C4⋊C4C2211yescharacteristic
45C4×C5×C4⋊C4C2211yescharacteristic
46C5×#340C2211yescharacteristic
47C5×#340C2211yescharacteristic
48C5×#340C2211yescharacteristic
49C5×#340C2211yescharacteristic
50C5×#340C2211yescharacteristic
51C5×#340C2211yescharacteristic
52C5×#340C2211yescharacteristic
53C5×#340C2211yescharacteristic
54C5×#340C2211yescharacteristic
55C5×#340C2211yescharacteristic
56C5×#340C2211yescharacteristic
57C5×#340C2211yescharacteristic
58C5×#340C2211yescharacteristic
59C5×#340C2211yescharacteristic
60C5×#340C2211yescharacteristic
61C5×#340C2211yescharacteristic
62#21843C511yesmaximal, characteristic, direct product factor, Sylow
63C22×C5×Q8—21no—
64C22×C5×Q8—21no—
65C23×C4×C5—21no—
66C23×C4×C5C2311yescharacteristic
67C22×C5×C8C2311yescharacteristic
68C22×C5×C8C2311yescharacteristic
69C22×C5×C8C2311yescharacteristic
70C22×C5×C8C2311yescharacteristic
71C5×C4⋊Q8—28no—
72C5×C4⋊Q8—22no—
73C5×C4⋊Q8—22no—
74C5×C4⋊Q8C2×C414yes—
75C5×C4⋊Q8C2×C414yes—
76C5×#125—28no—
77C5×#125—22no—
78C5×#125—22no—
79C5×#125C2×C414yes—
80C5×#125C2×C414yes—
81C5×C22⋊Q8—28no—
82C5×C22⋊Q8—28no—
83C5×#117—22no—
84C5×#117C2×C414yes—
85C5×#117C2×C414yes—
86C5×#117D414yes—
87C2×C5×C4⋊C4—21no—
88C2×C5×C4⋊C4—22no—
89C2×C5×C4⋊C4—21no—
90C2×C5×C4⋊C4—21no—
91C2×C5×C4⋊C4—21no—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2×C414yes—
98C2×C5×C4⋊C4D411yescharacteristic
99C2×C5×C4⋊C4D411yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C4⋊C4C2311yescharacteristic
104C2×C5×C4⋊C4C2311yescharacteristic
105C2×C5×C4⋊C4C2311yescharacteristic
106C2×C5×C4⋊C4C2311yescharacteristic
107C2×C5×C4⋊C4C2311yescharacteristic
108C2×C5×C22⋊C4—21no—
109C2×C5×C22⋊C4—21no—
110C2×C5×C22⋊C4—21no—
111C2×C5×C22⋊C4D411yescharacteristic
112C2×C5×C22⋊C4D411yescharacteristic
113C2×C42×C5—21no—
114C2×C42×C5—21no—
115C2×C42×C5—21no—
116C2×C42×C5C2311yescharacteristic
117C2×C42×C5C2311yescharacteristic
118C5×C4⋊C8—22no—
119C5×C4⋊C8—22no—
120C5×C22⋊C8—22no—
121C5×C22⋊C8—22no—
122C5×#97—22no—
123C4×C5×C8—22no—
124C5×#95—21no—
125C5×#95—21no—
126C5×#95—21no—
127C5×#95—21no—
128C5×#95—21no—
129C5×#95—21no—
130C2×#544C2×C511yescharacteristic
131C2×#433C2×C511yescharacteristic
132#2314C2×C511yescharacteristic
133#1993C2×C511yescharacteristic, complemented
134#1992C2×C511yescharacteristic, complemented
135#1991C2×C511yescharacteristic, complemented
136#1990C2×C511yescharacteristic, complemented
137#1989C2×C511yescharacteristic, complemented
138#1989C2×C511yescharacteristic, complemented
139#1988C2×C511yescharacteristic, complemented
140#1987C2×C511yescharacteristic, complemented
141#1825C2×C511yescharacteristic
142#1825C2×C511yescharacteristic
143#1824C2×C511yescharacteristic
144#1823C2×C511yescharacteristic
145C24×C5C2×D411yescharacteristic
146C2×C5×Q8—24no—
147C2×C5×Q8—24no—
148C2×C5×Q8—81no—
149C2×C5×Q8—81no—
150C2×C5×Q8—81no—
151C2×C5×Q8—81no—
152C22×C4×C5—21no—
153C22×C4×C5—21no—
154C22×C4×C5—21no—
155C22×C4×C5—21no—
156C22×C4×C5—21no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—24no—
161C22×C4×C5—21no—
162C22×C4×C5—21no—
163C22×C4×C5—21no—
164C22×C4×C5—21no—
165C22×C4×C5—81no—
166C22×C4×C5—81no—
167C22×C4×C5C22×C412yes—
168C22×C4×C5C2×D411yescharacteristic
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×D411yescharacteristic
171C22×C4×C5C2×D411yescharacteristic
172C22×C4×C5C2×D411yescharacteristic
173C22×C4×C5C2×D412yes—
174C22×C4×C5C2411yescharacteristic
175C2×C5×C8—21no—
176C2×C5×C8—21no—
177C2×C5×C8—21no—
178C2×C5×C8—21no—
179C2×C5×C8—21no—
180C2×C5×C8—21no—
181C2×C5×C8—21no—
182C2×C5×C8—21no—
183C2×C5×C8—21no—
184C2×C5×C8—21no—
185C2×C5×C8—21no—
186C2×C5×C8—21no—
187C5×C4⋊C4—24no—
188C5×C4⋊C4—24no—
189C5×C4⋊C4—24no—
190C5×C4⋊C4—24no—
191C5×C4⋊C4—24no—
192C5×C4⋊C4—24no—
193C5×C4⋊C4—24no—
194C5×C4⋊C4—21no—
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—21no—
206C5×C4⋊C4—81no—
207C5×C4⋊C4—81no—
208C5×C4⋊C4C22⋊C414yes—
209C5×C4⋊C4C22⋊C414yes—
210C5×C4⋊C4C22×C412yes—
211C5×C4⋊C4C22×C412yes—
212C5×C4⋊C4C22×C412yes—
213C5×C4⋊C4C22×C412yes—
214C5×C22⋊C4—24no—
215C5×C22⋊C4—81no—
216C5×C22⋊C4—81no—
217C5×C22⋊C4C22⋊C414yes—
218C5×C22⋊C4C22⋊C414yes—
219C42×C5—24no—
220C42×C5—81no—
221C42×C5—81no—
222C42×C5C22×C412yes—
223C42×C5C22×C412yes—
224C42×C5C2×D412yes—
225C42×C5C2×D412yes—
226#544—24no—
227#544C4×C518yescomplemented
228C2×C4⋊Q8—21no—
229C2×C4⋊Q8C22×C511yescharacteristic
230C2×C4⋊Q8C22×C511yescharacteristic
231C2×#125—21no—
232C2×#125C22×C511yescharacteristic
233C2×#125C22×C511yescharacteristic
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×#117C22×C511yescharacteristic
237C2×#117C22×C511yescharacteristic
238C22×C4⋊C4C22×C511yescharacteristic
239#433—24no—
240C2×C4⋊C8C22×C511yescharacteristic
241C2×C4⋊C8C22×C511yescharacteristic
242C2×C22⋊C8C22×C511yescharacteristic
243C2×C22⋊C8C22×C511yescharacteristic
244C2×#97C22×C511yescharacteristic
245C2×C4×C8C22×C511yescharacteristic
246#388—21no—
247#388—21no—
248#387—21no—
249#387—21no—
250#384C22×C511yescharacteristic
251#382C22×C511yescharacteristic
252#380C22×C511yescharacteristic
253#380C22×C511yescharacteristic
254C4×C4⋊C4C22×C511yescharacteristic
255C4×C4⋊C4C22×C511yescharacteristic
256#340C22×C511yescharacteristic
257#340C22×C511yescharacteristic
258#340C22×C511yescharacteristic
259#340C22×C511yescharacteristic
260#340C22×C511yescharacteristic
261#340C22×C511yescharacteristic
262#340C22×C511yescharacteristic
263#340C22×C511yescharacteristic
264#340C22×C511yescharacteristic
265#340C22×C511yescharacteristic
266#340C22×C511yescharacteristic
267#340C22×C511yescharacteristic
268#340C22×C511yescharacteristic
269#340C22×C511yescharacteristic
270#340C22×C511yescharacteristic
271#340C22×C511yescharacteristic
272C23×C5—21no—
273C23×C5—21no—
274C23×C5—21no—
275C23×C5—21no—
276C23×C5—21no—
277C23×C5—21no—
278C23×C5C2×C22⋊C412yes—
279C23×C5C22×D411yescharacteristic
280C5×Q8—84no—
281C5×Q8—84no—
282C2×C4×C5—21no—
283C2×C4×C5—21no—
284C2×C4×C5—21no—
285C2×C4×C5—21no—
286C2×C4×C5—21no—
287C2×C4×C5—21no—
288C2×C4×C5—21no—
289C2×C4×C5—21no—
290C2×C4×C5—21no—
291C2×C4×C5—21no—
292C2×C4×C5—22no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—22no—
299C2×C4×C5—22no—
300C2×C4×C5—41no—
301C2×C4×C5—41no—
302C2×C4×C5—41no—
303C2×C4×C5—41no—
304C2×C4×C5—41no—
305C2×C4×C5—41no—
306C2×C4×C5—41no—
307C2×C4×C5—41no—
308C2×C4×C5—41no—
309C2×C4×C5—41no—
310C2×C4×C5—41no—
311C2×C4×C5—41no—
312C2×C4×C5—41no—
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—84no—
321C2×C4×C5C2×C22⋊C412yes—
322C2×C4×C5C2×C22⋊C412yes—
323C2×C4×C5C2×C22⋊C412yes—
324C2×C4×C5C2×C22⋊C412yes—
325C2×C4×C5C2×C22⋊C412yes—
326C2×C4×C5C23×C411yescharacteristic
327C2×C4×C5C22×D411yescharacteristic
328C2×C4×C52−1+411yescharacteristic
329C2×C4×C52−1+411yescharacteristic
330C2×C4×C52−1+411yescharacteristic
331C2×C4×C52−1+411yescharacteristic
332C5×C8—41no—
333C5×C8—41no—
334C5×C8—41no—
335C5×C8—41no—
336C22×Q8—21no—
337C22×Q8—21no—
338C23×C4—21no—
339C23×C4C23×C511yescharacteristic
340C22×C8C23×C511yescharacteristic
341C22×C8C23×C511yescharacteristic
342C22×C8C23×C511yescharacteristic
343C22×C8C23×C511yescharacteristic
344C4⋊Q8—28no—
345C4⋊Q8—22no—
346C4⋊Q8—22no—
347C4⋊Q8C2×C4×C514yes—
348C4⋊Q8C2×C4×C514yes—
349#125—28no—
350#125—22no—
351#125—22no—
352#125C2×C4×C514yes—
353#125C2×C4×C514yes—
354C22⋊Q8—28no—
355C22⋊Q8—28no—
356#117—22no—
357#117C2×C4×C514yes—
358#117C2×C4×C514yes—
359#117C5×D414yes—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
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⋊C4C2×C4×C514yes—
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×C4⋊C4C23×C511yescharacteristic
380C2×C4⋊C4C23×C511yescharacteristic
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4C5×D411yescharacteristic
385C2×C22⋊C4C5×D411yescharacteristic
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42C23×C511yescharacteristic
390C2×C42C23×C511yescharacteristic
391C4⋊C8—22no—
392C4⋊C8—22no—
393C22⋊C8—22no—
394C22⋊C8—22no—
395#97—22no—
396C4×C8—22no—
397#95—21no—
398#95—21no—
399#95—21no—
400#95—21no—
401#95—21no—
402#95—21no—
403C22×C5—22no—
404C22×C5—22no—
405C22×C5—22no—
406C22×C5—41no—
407C22×C5—41no—
408C22×C5—41no—
409C22×C5—41no—
410C22×C5C22×C22⋊C411yescharacteristic
411C22×C5#53611yescharacteristic
412C22×C5#53611yescharacteristic
413C22×C5#57611yescharacteristic
414C22×C5#57711yescharacteristic
415C22×C5#57711yescharacteristic
416C22×C5#57811yescharacteristic
417C4×C5—22no—
418C4×C5—22no—
419C4×C5—22no—
420C4×C5—22no—
421C4×C5—22no—
422C4×C5—42no—
423C4×C5—42no—
424C4×C5—42no—
425C4×C5—42no—
426C4×C5—81no—
427C4×C5—81no—
428C4×C5—81no—
429C4×C5—81no—
430C4×C5#51911yescharacteristic
431C4×C5#51911yescharacteristic
432C4×C5#53611yescharacteristic
433C4×C5#53611yescharacteristic
434C24C2×C5×D411yescharacteristic
435C2×Q8—24no—
436C2×Q8—24no—
437C2×Q8—81no—
438C2×Q8—81no—
439C2×Q8—81no—
440C2×Q8—81no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4C22×C4×C512yes—
457C22×C4C2×C5×D411yescharacteristic
458C22×C4C2×C5×D411yescharacteristic
459C22×C4C2×C5×D411yescharacteristic
460C22×C4C2×C5×D411yescharacteristic
461C22×C4C2×C5×D411yescharacteristic
462C22×C4C2×C5×D412yes—
463C22×C4C24×C511yescharacteristic
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C4⋊C4—24no—
477C4⋊C4—24no—
478C4⋊C4—24no—
479C4⋊C4—24no—
480C4⋊C4—24no—
481C4⋊C4—24no—
482C4⋊C4—24no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—81no—
496C4⋊C4—81no—
497C4⋊C4C5×C22⋊C414yes—
498C4⋊C4C5×C22⋊C414yes—
499C4⋊C4C22×C4×C512yes—
500C4⋊C4C22×C4×C512yes—
501C4⋊C4C22×C4×C512yes—
502C4⋊C4C22×C4×C512yes—
503C22⋊C4—24no—
504C22⋊C4—81no—
505C22⋊C4—81no—
506C22⋊C4C5×C22⋊C414yes—
507C22⋊C4C5×C22⋊C414yes—
508C42—24no—
509C42—81no—
510C42—81no—
511C42C22×C4×C512yes—
512C42C22×C4×C512yes—
513C42C2×C5×D412yes—
514C42C2×C5×D412yes—
515C2×C5—42no—
516C2×C5#231011yescharacteristic
517C2×C5#289711yescharacteristic
518C2×C5#289811yescharacteristic
519C2×C5#324111yescharacteristic
520C2×C5#324211yescharacteristic
521C2×C5#324311yescharacteristic
522C2×C5#324411yescharacteristic
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23C2×C5×C22⋊C412yes—
530C23C22×C5×D411yescharacteristic
531Q8—84no—
532Q8—84no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—84no—
572C2×C4C2×C5×C22⋊C412yes—
573C2×C4C2×C5×C22⋊C412yes—
574C2×C4C2×C5×C22⋊C412yes—
575C2×C4C2×C5×C22⋊C412yes—
576C2×C4C2×C5×C22⋊C412yes—
577C2×C4C23×C4×C511yescharacteristic
578C2×C4C22×C5×D411yescharacteristic
579C2×C4C5×2−1+411yescharacteristic
580C2×C4C5×2−1+411yescharacteristic
581C2×C4C5×2−1+411yescharacteristic
582C2×C4C5×2−1+411yescharacteristic
583C8—41no—
584C8—41no—
585C8—41no—
586C8—41no—
587C5#2184311yescharacteristic, direct product factor, Sylow
588C22—22no—
589C22—22no—
590C22—22no—
591C22—41no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22C22×C5×C22⋊C411yescharacteristic
596C22C5×#53611yescharacteristic
597C22C5×#53611yescharacteristic
598C22C5×#57611yescharacteristic
599C22C5×#57711yescharacteristic
600C22C5×#57711yescharacteristic
601C22C5×#57811yescharacteristic
602C4—22no—
603C4—22no—
604C4—22no—
605C4—22no—
606C4—22no—
607C4—42no—
608C4—42no—
609C4—42no—
610C4—42no—
611C4—81no—
612C4—81no—
613C4—81no—
614C4—81no—
615C4C5×#51911yescharacteristic
616C4C5×#51911yescharacteristic
617C4C5×#53611yescharacteristic
618C4C5×#53611yescharacteristic
619C2—42no—
620C2C5×#231011yescharacteristic
621C2C5×#289711yescharacteristic
622C2C5×#289811yescharacteristic
623C2C5×#324111yescharacteristic
624C2C5×#324211yescharacteristic
625C2C5×#324311yescharacteristic
626C2C5×#324411yescharacteristic
subgroupG/H
center, socleC23×C5C22×D4
commutatorC2×C4C23×C4×C5
Frattini, cosocleC22×C4C24×C5
prime radicalC24×C5C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C5 ◁ C2×C5×#117 ◁ G

Complements

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

NH ≅ G/Ntype
4. C5×#1993C2semidirect
5. C5×#1992C2semidirect
6. C5×#1991C2semidirect
7. C5×#1990C2semidirect
8. C5×#1989C2semidirect
9. C5×#1989C2semidirect
10. C5×#1988C2semidirect
11. C5×#1987C2semidirect
17. C5×#544C4semidirect
62. #21843C5direct (N × H)
133. #1993C2×C5semidirect
134. #1992C2×C5semidirect
135. #1991C2×C5semidirect
136. #1990C2×C5semidirect
137. #1989C2×C5semidirect
138. #1989C2×C5semidirect
139. #1988C2×C5semidirect
140. #1987C2×C5semidirect
227. #544C4×C5semidirect
587. C5#21843direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5442
C2×C5×#4332
C5×#23142
C5×#19932
C5×#19922
C5×#19912
C5×#19902
C5×#19892
C5×#19882
C5×#19872
C5×#18252
C5×#18242
C5×#18232
#218435