Finite Group Databasebeta

← Group #11884485

Character table — Group #11884485

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order122233446666662346661212121212124466661212121212448888121212121212121244224668812122424242424242424222446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1111111-1-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-1-111-1-1-1111
χ911111111111111-11-11111-1-11111-1-1-1-1-1-111-1-111-1-1111-11-111-1-1-1-1-1-11-1-11-11111-1-111-1-111-111-11-1
χ1011111111111111-11-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1-111-11-1-1-1111111-1-1-1-111-1-11-1-11-11
χ1111111111111111-11-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-11-111-1-1111-1111-1-1-1-1-1-11111-1-1-1-11-1-1-111
χ1211111111111111-11-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-11-111-1-1-1-111-111-11-1-1-1-111-1-11111-1111-1-1
χ1311111111111111-11-11111-1-1111-11-1-1-1-1-111-1-1111111-11-11-1-11111-11-1-1-1-1-111-1-11111-1-1111-1-11-1-1
χ1411111111111111-11-11111-1-1111-11-1-1-1-1-111-1-11111-1-1-11-11-1-111-1-1-1-11-1-1-1111-1-111-1-111-1-1-111-111
χ1511111111111111-11-11111-1-1111-11-1-1-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1111-1-1-111-1-111-1-1-1-1-1111-11
χ1611111111111111-11-11111-1-1111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111111-111111-1-111-1-1-1-111111-1-1-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-2002222-2-2-2-2-200000000000000220000000000000000000-2-22000
χ18222222-2-222222222-2222-2-2-2-2-2-2002222-2-2-2-2-200000000000000-2-2000000000000000000022-2000
χ19222222-2-2222222-222222-222-2-2-200-2-2-2-22-2-22200000000000000220000000000000000000-22-2000
χ20222222-2-2222222-222222-222-2-2-200-2-2-2-22-2-22200000000000000-2-200000000000000000002-22000
χ2122222-1222-12-1-122-12-1-1-1-12222-1222-1-1-1-1-1-1-1-10000222-1-12-1-1-1-1000220002000000-1-1-1-100000-1-10
χ2222222-1222-12-1-122-12-1-1-1-12222-1222-1-1-1-1-1-1-1-10000-2-22-1-12-1-1-1-1000-2-2000-2000000111100000110
χ2322222-1222-12-1-122-12-1-1-1-12222-1-2-22-1-1-1-1-1-1-1-1000022-211-21111000-2-20002000000-1-1-1-100000110
χ2422222-1222-12-1-122-12-1-1-1-12222-1-2-22-1-1-1-1-1-1-1-10000-2-2-211-2111100022000-2000000111100000-1-10
χ2522222-1222-12-1-12-2-1-2-1-1-1-1-2-222-12-2-21111-1-11100002221-1-2-1-111000-22000-2000000-1-111000001-10
χ2622222-1222-12-1-12-2-1-2-1-1-1-1-2-222-12-2-21111-1-1110000-2-221-1-2-1-1110002-2000200000011-1-100000-110
χ2722222-1222-12-1-12-2-1-2-1-1-1-1-2-222-1-22-21111-1-111000022-2-11211-1-10002-2000-2000000-1-11100000-110
χ2822222-1222-12-1-12-2-1-2-1-1-1-1-2-222-1-22-21111-1-1110000-2-2-2-11211-1-1000-22000200000011-1-1000001-10
χ292222-1222-12-122-12-12-1-1-12-1-1-1-1222-12-1-12-1-1-1-1222200-122-1-1-1-1-100200-1-120-1-1-1-1-1-1000000000000
χ302222-1222-12-122-12-12-1-1-12-1-1-1-1222-12-1-12-1-1-1-1-2-2-2-200-122-1-1-1-1-100-20011-20111111000000000000
χ312222-1222-12-122-12-12-1-1-12-1-1-1-12-2-2-12-1-12-1-1-1-122-2-2001-2-21111100200-1-1-20-1-11111000000000000
χ322222-1222-12-122-12-12-1-1-12-1-1-1-12-2-2-12-1-12-1-1-1-1-2-222001-2-21111100-200112011-1-1-1-1000000000000
χ332222-1222-12-122-1-2-1-2-1-1-1211-1-122-21-211-2-1-11122-2-200-1-221-1-11100-2001120-1-1-1-111000000000000
χ342222-1222-12-122-1-2-1-2-1-1-1211-1-122-21-211-2-1-111-2-22200-1-221-1-11100200-1-1-201111-1-1000000000000
χ352222-1222-12-122-1-2-1-2-1-1-1211-1-12-221-211-2-1-11122220012-2-111-1-100-20011-20-1-111-1-1000000000000
χ362222-1222-12-122-1-2-1-2-1-1-1211-1-12-221-211-2-1-111-2-2-2-20012-2-111-1-100200-1-12011-1-111000000000000
χ372-2-2222-22-2-2-22-22020-2-22-2002-2200000002-2002-2002-2000000000000000002-200002-2002-2000000
χ382-2-2222-22-2-2-22-22020-2-22-2002-2200000002-2002-200-22000000000000000002-20000-2200-22000000
χ392-2-2222-22-2-2-22-22020-2-22-2002-2200000002-200-22002-200000000000000000-2200002-200-22000000
χ402-2-2222-22-2-2-22-22020-2-22-2002-2200000002-200-2200-2200000000000000000-220000-22002-2000000
χ4144444-2-4-44-24-2-244-2-4-2-2-22-4-4-4-42004-2-2-22222200000000000000000000000000000000000000000
χ4244444-2-4-44-24-2-24-4-24-2-2-2244-4-4200-4222-222-2-200000000000000000000000000000000000000000
χ434444-24-4-4-24-244-24-2-4-2-2-2-42222-400-24-2-2-4222200000000000000000000000000000000000000000
χ444444-24-4-4-24-244-2-4-24-2-2-2-4-2-222-4002-422422-2-200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-244-2-211-21111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2-4-4-2-211-211110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-41-4111-222-2-2-24-422-1-1211-1-1000000-22-2211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-41-4111-222-2-2-2-4422-1-1211-1-10000002-22-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2112-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2112-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2-4141112-2-22220022-1-1-2-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-4141112-2-22220022-1-1-2-1-1110000000000-333-3000000000000000000000000000
χ5344-4-4440044-4-4-4-40404-4-400000000000000000000000000000004i−4i0000000000000000000000000
χ5444-4-4440044-4-4-4-40404-4-40000000000000000000000000000000−4i4i0000000000000000000000000
χ554-44-44400-4-44-44-4040-44-4000000000000000000022−220000000000000000000000022−22000000000000
χ564-44-44400-4-44-44-4040-44-40000000000000000000−222200000000000000000000000−2222000000000000
χ574-44-4-24002-4-2-4420-202-22023−2300000000000023−230022−220000000000000000000006−6−22000000000000
χ584-44-4-24002-4-2-4420-202-22023−2300000000000023−2300−2222000000000000000000000−662−2000000000000
χ594-44-4-24002-4-2-4420-202-220−2323000000000000−23230022−22000000000000000000000−66−22000000000000
χ604-44-4-24002-4-2-4420-202-220−2323000000000000−232300−22220000000000000000000006−62−2000000000000
χ614-4-44444-4-4-4-44-44040-4-44400-44-40000000-440000000000000000000000000000000000000000000
χ624-4-444-24-4-42-4-2240-2022-2-200-44200000002-200000000000000000000000000000000023−2300000000
χ634-4-444-24-4-42-4-2240-2022-2-200-44200000002-2000000000000000000000000000000000−232300000000
χ644-4-444-2-44-42-4-2240-2022-22004-4-20000000-220000004-400000000000000000000000-220000000000
χ654-4-444-2-44-42-4-2240-2022-22004-4-20000000-22000000-44000000000000000000000002-20000000000
χ664-4-44-244-42-424-4-20-2022-24002-2-400000002-2000000000000000000000−2i32i300000000000000000000
χ674-4-44-244-42-424-4-20-2022-24002-2-400000002-20000000000000000000002i3−2i300000000000000000000
χ684-4-44-24-442-424-4-20-2022-2-400-2240000000-22004-4000000000000000000000-220000000000000000
χ694-4-44-24-442-424-4-20-2022-2-400-2240000000-2200-440000000000000000000002-20000000000000000
χ7088-8-88-4008-4-844-80-40-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4800-484-8-840-40-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4-444440202-2-200000000006-60000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-444440202-2-20000000000-660000000000000000000000000000000000000000000000
χ748-88-88-400-8484-4-80-404-440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-40044-44-44020-22-2043−43000000000000−232300000000000000000000000000000000000000000
χ768-88-8-4-40044-44-44020-22-20−434300000000000023−2300000000000000000000000000000000000000000
χ778-8-88-4-48-8444-44-4020-2-22-4004-440000000-220000000000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-4020-2-22400-44-400000002-20000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).