Finite Group Databasebeta

← C2×#10612904 #12971328

Subgroups — C2×#10612904 #12971328

Order 1280.

1822 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×D5×#125C211yesmaximal, characteristic, complemented
2C2×#65891C211yesmaximal, characteristic
3C2×C5×#478C211yesmaximal, characteristic, complemented
4C2×#65352C211yesmaximal, characteristic, complemented
5C2×#65298C211yesmaximal, characteristic, complemented
6#10612904C2116yesmaximal, direct product factor
7C2×#65173C211yesmaximal, characteristic, complemented
8C2×#65167C211yesmaximal, characteristic, complemented
9C2×#65151C211yesmaximal, characteristic, complemented
10C2×#65147C211yesmaximal, characteristic, complemented
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×#65122C211yesmaximal, characteristic, complemented
13C2×#65066C211yesmaximal, characteristic
14C2×#65063C211yesmaximal, characteristic
15C2×#65057C211yesmaximal, characteristic, complemented
16C2×#65057C211yesmaximal, characteristic, complemented
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×#4084C2211yescharacteristic
20C2×#4082C2211yescharacteristic
21C2×C4×C22⋊D5—21no—
22C2×#4072—21no—
23D5×#125—24no—
24D5×#125C2218yescomplemented
25#65891—24no—
26#65891C2218yes—
27C2×#4043C2211yescharacteristic
28C2×D5×C4⋊C4—21no—
29C2×D5×C4⋊C4—21no—
30C2×D5×C4⋊C4C2211yescharacteristic
31C2×D5×C4⋊C4C2211yescharacteristic
32C2×#4036C2211yescharacteristic
33C2×#4036C2211yescharacteristic
34C2×#4036C2211yescharacteristic
35C2×#4035—21no—
36C2×#4035—21no—
37C2×#4029—21no—
38C2×#4025—21no—
39C2×C42×D5C2211yescharacteristic
40C2×#4016C2211yescharacteristic
41C2×C4×Dic10C2211yescharacteristic
42C5×#478C2218yescomplemented
43C2×C5×#107C2211yescharacteristic
44C2×C5×#106C2211yescharacteristic
45C2×C5×C4⋊C8C2211yescharacteristic
46C2×C5×#102C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×#3964C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×#3952C2211yescharacteristic
51C2×#3952C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3948C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×C8×Dic5C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65352C2218yescomplemented
59#65298C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65173C2218yescomplemented
68#65167C2218yescomplemented
69#65151C2218yescomplemented
70#65147C2218yescomplemented
71#65122C2218yescomplemented
72#65118C2218yescomplemented
73#65066C2218yes—
74#65063C2218yes—
75#65057C2218yescomplemented
76#65057C2218yescomplemented
77C2×#3232—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C23×C4×C5—21no—
80C22×C22⋊D5—21no—
81C22×C4×D5—21no—
82C22×C4×D5—21no—
83C22×C4×D5D411yescharacteristic
84C22×C4×D5D411yescharacteristic
85C22×C4×D5C2311yescharacteristic
86C22×Dic10C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C5×#125—22no—
90C5×#125C2314yes—
91C4×C5×D4—22no—
92C4×C5×D4C2314yes—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C22⋊C4—21no—
99C2×C42×C5C2311yescharacteristic
100C2×C22⋊Dic5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103#4084—22no—
104#4084C2314yes—
105#4082—22no—
106#4082C2314yes—
107C4×C22⋊D5—28no—
108C2×#685—21no—
109#4072—28no—
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5C2311yescharacteristic
115C2×C4⋊Dic5C2311yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×#683—21no—
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×C4×Dic5—21no—
126C2×C4×Dic5D411yescharacteristic
127C2×C4×Dic5D411yescharacteristic
128C2×C4×Dic5C2311yescharacteristic
129C22×#168C2311yescharacteristic
130C22×#168C2311yescharacteristic
131#4043—22no—
132#4043C2314yes—
133D5×C4⋊C4—28no—
134D5×C4⋊C4—28no—
135D5×C4⋊C4—22no—
136D5×C4⋊C4—22no—
137D5×C4⋊C4C2314yes—
138D5×C4⋊C4C2314yes—
139#4036—22no—
140#4036—22no—
141#4036—22no—
142#4036C2314yes—
143#4036C2314yes—
144#4036C2314yes—
145#4035—28no—
146#4035—28no—
147#4029—28no—
148#4025—28no—
149C42×D5D414yes—
150C42×D5C2314yes—
151#4016—22no—
152#4016C2314yes—
153C4×Dic10—22no—
154C4×Dic10C2314yes—
155C5×#107C2314yes—
156C5×#106C2314yes—
157C5×C4⋊C8C2314yes—
158C5×#102C2314yes—
159C5×#102C2314yes—
160#3964C2314yes—
161#3964C2314yes—
162#3952C2314yes—
163#3952C2314yes—
164#3950C2314yes—
165#3949C2314yes—
166#3948C2314yes—
167#3948C2314yes—
168C8×Dic5C2314yes—
169C8×Dic5C2314yes—
170#3942C2314yes—
171#3942C2314yes—
172#3940C2314yes—
173#3940C2314yes—
174#3939C2314yes—
175#3939C2314yes—
176C4⋊#168C2314yes—
177C2×#529—51no—
178C22×#125—51no—
179#3232—516no—
180C2×#499—51no—
181C2×#499—51no—
182C2×#488—51no—
183C2×#488—51no—
184C2×#484—51no—
185C2×#481—51no—
186C2×#483—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#479—51no—
190C2×#478—51no—
191C2×#478D511yescharacteristic, complemented
192C2×#431—51no—
193C24×C5—21no—
194C23×D5C2×D411yescharacteristic
195C2×C5×D4—21no—
196C2×C5×D4—22no—
197C2×C5×D4—22no—
198C2×C5×D4C2412yes—
199C22×C4×C5—21no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—24no—
203C22×C4×C5—44no—
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2411yescharacteristic
207C2×C22⋊D5—24no—
208C2×C22⋊D5—44no—
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216C2×C4×D5—24no—
217C2×C4×D5—22no—
218C2×C4×D5—22no—
219C2×C4×D5—24no—
220C2×C4×D5—24no—
221C2×C4×D5—42no—
222C2×C4×D5—44no—
223C2×C4×D5—44no—
224C2×C4×D5C2×D414yes—
225C2×C4×D5C2×D412yes—
226C2×C4×D5C2×D414yes—
227C2×C4×D5C2412yes—
228C2×Dic10—22no—
229C2×Dic10—22no—
230C2×Dic10—21no—
231C2×Dic10C2412yes—
232C2×C5×C8—22no—
233C2×C5×C8—22no—
234C2×C5×C8C2412yes—
235C2×C5×C8C2412yes—
236C5×C4⋊C4—24no—
237C5×C4⋊C4—24no—
238C5×C4⋊C4—21no—
239C5×C4⋊C4—21no—
240C5×C4⋊C4—21no—
241C5×C4⋊C4C2412yes—
242C5×C4⋊C4C2412yes—
243C5×C4⋊C4C2412yes—
244C5×C22⋊C4—24no—
245C42×C5C2×D412yes—
246C42×C5C2412yes—
247C22⋊Dic5—24no—
248C22⋊Dic5—24no—
249C22⋊Dic5—24no—
250#685—24no—
251C4⋊Dic5—21no—
252C4⋊Dic5—21no—
253C4⋊Dic5—21no—
254C4⋊Dic5—24no—
255C4⋊Dic5—24no—
256C4⋊Dic5—24no—
257C4⋊Dic5—24no—
258C4⋊Dic5C2412yes—
259C4⋊Dic5C2412yes—
260C4⋊Dic5C2412yes—
261#683—24no—
262#683—24no—
263#683—24no—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269C4×Dic5—24no—
270C4×Dic5C2×D412yes—
271C4×Dic5C2×D414yes—
272C4×Dic5C2×D414yes—
273C4×Dic5C2412yes—
274C2×#168—22no—
275C2×#168—22no—
276C2×#168C2412yes—
277C2×#168C2412yes—
278#529—58no—
279#529—104no—
280C2×#126—101no—
281C2×#125—58no—
282C2×#125—51no—
283C2×#125—51no—
284C2×#125—51no—
285C2×#125—51no—
286C2×#125—101no—
287C2×#125—101no—
288C2×#125—104no—
289C2×#125C2×D511yescharacteristic
290C2×#124—51no—
291C2×#123—101no—
292C2×C22⋊Q8—51no—
293C2×#121—51no—
294C2×C4×Q8—51no—
295C2×C4×D4—101no—
296C2×C4×D4C2×D511yescharacteristic
297C2×#117—101no—
298C22×C4⋊C4—51no—
299C22×C4⋊C4—51no—
300C22×C4⋊C4—101no—
301C22×C4⋊C4—101no—
302C22×C42—51no—
303#499—58no—
304#499—58no—
305#488—58no—
306#488—58no—
307#484—58no—
308#483—58no—
309#481—58no—
310#480—58no—
311#479—58no—
312#479—58no—
313#478—58no—
314#478C2×D518yescomplemented
315#431—58no—
316C2×#107—51no—
317C2×#107—51no—
318C2×#107—51no—
319C2×#107C2×D511yescharacteristic
320C2×#106—51no—
321C2×#106—51no—
322C2×#106—51no—
323C2×#106C2×D511yescharacteristic
324C2×C4⋊C8—51no—
325C2×C4⋊C8C2×D511yescharacteristic
326C2×#103—51no—
327C2×#103—51no—
328C2×#103—51no—
329C2×#103—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102C2×D511yescharacteristic
333C2×#102C2×D511yescharacteristic
334C2×C22⋊C8—51no—
335C2×C22⋊C8—51no—
336C2×C4×C8—51no—
337C2×C4×C8—51no—
338C23×C5—22no—
339C23×C5—42no—
340C23×C5—42no—
341C23×C5—42no—
342C23×C5C22×D411yescharacteristic
343C22×D5—22no—
344C22×D5—22no—
345C22×D5#13514yes—
346C22×D5C22×D412yes—
347C5×D4—22no—
348C5×D4—22no—
349C5×D4—42no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—48no—
356C2×C4×C5—42no—
357C2×C4×C5—42no—
358C2×C4×C5—42no—
359C2×C4×C5C22×D412yes—
360C2×C4×C5C22×D412yes—
361C2×C4×C5C22×D411yescharacteristic
362C2×C4×C52−1+412yes—
363C2×C4×C52−1+412yes—
364C2×C4×C5C2511yescharacteristic
365C22⋊D5—48no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—42no—
374C2×Dic5—42no—
375C2×Dic5—42no—
376C2×Dic5—42no—
377C2×Dic5C22×D412yes—
378C2×Dic5C22×D412yes—
379C2×Dic5C22×D412yes—
380C4×D5—28no—
381C4×D5—24no—
382C4×D5—22no—
383C4×D5—22no—
384C4×D5—44no—
385C4×D5—48no—
386C4×D5—48no—
387Dic10—22no—
388Dic10—22no—
389Dic10—42no—
390C5×C8—22no—
391C5×C8—22no—
392#168—22no—
393#168—22no—
394C22×Q8—51no—
395C22×D4—101no—
396C22×D4C22×D511yescharacteristic
397C23×C4—21no—
398C23×C4—51no—
399C23×C4—51no—
400C23×C4—51no—
401C23×C4—101no—
402C23×C4—101no—
403C22×C8—51no—
404C22×C8—51no—
405C22×C8C22×D511yescharacteristic
406C22×C8C22×D511yescharacteristic
407#126—108no—
408#125—22no—
409#125—54no—
410#125—54no—
411#125—54no—
412#125—54no—
413#125—108no—
414#125—108no—
415#125—102no—
416#125—102no—
417#125—102no—
418#125—102no—
419#125C22×D514yes—
420#124—54no—
421#124—102no—
422#123—108no—
423C22⋊Q8—54no—
424C22⋊Q8—102no—
425#121—54no—
426#121—102no—
427C4×Q8—54no—
428C4×Q8—102no—
429C4×D4—22no—
430C4×D4—108no—
431C4×D4C22×D514yes—
432#117—108no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—51no—
436C2×C4⋊C4—51no—
437C2×C4⋊C4—51no—
438C2×C4⋊C4—54no—
439C2×C4⋊C4—54no—
440C2×C4⋊C4—102no—
441C2×C4⋊C4—102no—
442C2×C4⋊C4—108no—
443C2×C4⋊C4—108no—
444C2×C4⋊C4—101no—
445C2×C4⋊C4—101no—
446C2×C4⋊C4—101no—
447C2×C4⋊C4—101no—
448C2×C4⋊C4—101no—
449C2×C4⋊C4—101no—
450C2×C4⋊C4—101no—
451C2×C4⋊C4—101no—
452C2×C4⋊C4—101no—
453C2×C4⋊C4—101no—
454C2×C4⋊C4—101no—
455C2×C4⋊C4—101no—
456C2×C4⋊C4C22×D511yescharacteristic
457C2×C4⋊C4C22×D511yescharacteristic
458C2×C4⋊C4C22×D511yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—101no—
461C2×C22⋊C4—101no—
462C2×C22⋊C4—101no—
463C2×C22⋊C4—101no—
464C2×C42—51no—
465C2×C42—51no—
466C2×C42—51no—
467C2×C42—54no—
468C2×C42—54no—
469C2×C42—101no—
470C2×C42C22×D511yescharacteristic
471#107—54no—
472#107—54no—
473#107—54no—
474#107C22×D514yes—
475#106—54no—
476#106—54no—
477#106—54no—
478#106C22×D514yes—
479C4⋊C8—54no—
480C4⋊C8C22×D514yes—
481#103—54no—
482#103—54no—
483#103—54no—
484#103—54no—
485#102—54no—
486#102—54no—
487#102C22×D514yes—
488#102C22×D514yes—
489C22⋊C8—54no—
490C22⋊C8—54no—
491C4×C8—54no—
492C4×C8—54no—
493C22×C5—42no—
494C22×C5—42no—
495C22×C5—42no—
496C22×C5—84no—
497C22×C5#53612yes—
498C22×C5C2×#13512yes—
499C22×C5#57512yes—
500C22×C5C23×D411yescharacteristic
501C2×D5—22no—
502C2×D5—28no—
503C2×D5—22no—
504C2×D5C2×#13514yes—
505C4×C5—22no—
506C4×C5—22no—
507C4×C5—42no—
508C4×C5—42no—
509C4×C5—42no—
510C4×C5#53612yes—
511C4×C5C2×2−1+411yescharacteristic
512C4×C5C2×2−1+411yescharacteristic
513Dic5—22no—
514Dic5—22no—
515Dic5—22no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5—42no—
520C24—21no—
521C24—51no—
522C2×Q8—52no—
523C2×Q8—101no—
524C2×Q8—102no—
525C2×Q8—102no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—104no—
530C2×D4—204no—
531C2×D4C23×D512yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—44no—
537C22×C4—51no—
538C22×C4—51no—
539C22×C4—51no—
540C22×C4—52no—
541C22×C4—54no—
542C22×C4—52no—
543C22×C4—54no—
544C22×C4—104no—
545C22×C4—104no—
546C22×C4—104no—
547C22×C4—102no—
548C22×C4—102no—
549C22×C4—101no—
550C22×C4—101no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—202no—
554C22×C4—204no—
555C22×C4—204no—
556C22×C4D4×D511yescharacteristic
557C22×C4D4×D511yescharacteristic
558C22×C4C23×D511yescharacteristic
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—52no—
562C2×C8—52no—
563C2×C8—102no—
564C2×C8—102no—
565C2×C8C23×D512yes—
566C2×C8C23×D512yes—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—52no—
573C4⋊C4—52no—
574C4⋊C4—52no—
575C4⋊C4—104no—
576C4⋊C4—104no—
577C4⋊C4—104no—
578C4⋊C4—104no—
579C4⋊C4—104no—
580C4⋊C4—104no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—101no—
585C4⋊C4—101no—
586C4⋊C4—101no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4C23×D512yes—
591C4⋊C4C23×D512yes—
592C4⋊C4C23×D512yes—
593C22⋊C4—24no—
594C22⋊C4—104no—
595C22⋊C4—104no—
596C22⋊C4—104no—
597C22⋊C4—104no—
598C42—54no—
599C42—52no—
600C42—54no—
601C42—52no—
602C42—104no—
603C42D4×D512yes—
604C42C23×D512yes—
605C2×C5—82no—
606C2×C5#323214yescomplemented
607C2×C5C2×#53611yescharacteristic
608C2×C5C22×#13511yescharacteristic
609C2×C5C2×#57511yescharacteristic
610D5—24no—
611C23—22no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—54no—
616C23—52no—
617C23—102no—
618C23—102no—
619C23C2×D4×D511yescharacteristic
620Q8—102no—
621Q8—102no—
622Q8—202no—
623D4—22no—
624D4—22no—
625D4—42no—
626D4—208no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—48no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—52no—
637C2×C4—52no—
638C2×C4—52no—
639C2×C4—108no—
640C2×C4—102no—
641C2×C4—102no—
642C2×C4—102no—
643C2×C4—104no—
644C2×C4—102no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—204no—
651C2×C4—208no—
652C2×C4—208no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4—202no—
656C2×C4—202no—
657C2×C4C2×D4×D512yes—
658C2×C4C2×D4×D512yes—
659C2×C4C2×D4×D511yescharacteristic
660C2×C4#414712yes—
661C2×C4#415012yes—
662C2×C4C24×D511yescharacteristic
663C8—22no—
664C8—22no—
665C8—102no—
666C8—102no—
667C5C2×#323211yescharacteristic, complemented, Sylow
668C22—42no—
669C22—42no—
670C22—42no—
671C22—54no—
672C22—84no—
673C22—102no—
674C22—108no—
675C22—102no—
676C22#6596212yes—
677C22D5×#13512yes—
678C22#6610712yes—
679C22C22×D4×D511yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—102no—
686C4—102no—
687C4—102no—
688C4—202no—
689C4—202no—
690C4—202no—
691C4—202no—
692C4#6596212yes—
693C4C2×#414711yescharacteristic
694C4C2×#415011yescharacteristic
695C2—82no—
696C2—104no—
697C2#1061290414yesdirect product factor
698C2C2×#6596211yescharacteristic
699C2C2×D5×#13511yescharacteristic
700C2C2×#6610711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#478C2
socleC23×C5C22×D4
prime radicalC2×#4084C22
hypercenterC2×#478D5
hypocenterC5C2×#3232
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×D5×#125C2semidirect
3. C2×C5×#478C2semidirect
4. C2×#65352C2semidirect
5. C2×#65298C2semidirect
6. #10612904C2direct (N × H)
7. C2×#65173C2semidirect
8. C2×#65167C2semidirect
9. C2×#65151C2semidirect
10. C2×#65147C2semidirect
11. C2×#65118C2semidirect
12. C2×#65122C2semidirect
15. C2×#65057C2semidirect
16. C2×#65057C2semidirect
24. D5×#125C22semidirect
42. C5×#478C22semidirect
58. #65352C22semidirect
59. #65298C22semidirect
67. #65173C22semidirect
68. #65167C22semidirect
69. #65151C22semidirect
70. #65147C22semidirect
71. #65122C22semidirect
72. #65118C22semidirect
75. #65057C22semidirect
76. #65057C22semidirect
191. C2×#478D5semidirect
314. #478C2×D5semidirect
606. C2×C5#3232semidirect
667. C5C2×#3232semidirect
697. C2#10612904direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D5×#1252
C2×#658912
C2×C5×#4782
C2×#653522
C2×#652982
#106129042
C2×#651732
C2×#651672
C2×#651512
C2×#651472
C2×#651182
C2×#651222
C2×#650662
C2×#650632
C2×#650572
C2×#32325