Finite Group Databasebeta

← Group #11781857

Character table — Group #11781857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212122424242424242424242424244848487272144
order1222334444666666121212123466612121212121212121212121288121212121224242424242424242424242424242424888824242424242424248888242424242424242441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1
χ92222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002-20
χ102222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-220
χ11222222-22-22222222-2-2-2-22-2222-22-2-2-2-2-2-2-222200-222-2-2000000000000000022-2-22222-2-2-2-2000000000000000000
χ12222222-22-22222222-2-2-2-22-2222-22-2-2-2-2-2-2-222200-222-2-20000000000000000-2-222-2-2-2-22222000000000000000000
χ13222222-2-2-2-2222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2002-2-2220000000000000000000000000000002i−2i00002i2i−2i−2i000000
χ14222222-2-2-2-2222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2002-2-222000000000000000000000000000000−2i2i0000−2i−2i2i2i000000
χ1522222-12222222-1-1-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-12-1-1000
χ1622222-12222222-1-1-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111-211000
χ1722222-12222222-1-1-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000220000-1-1-1-1-211000
χ1822222-12222222-1-1-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000-2-2000011112-1-1000
χ1922222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1112211111-2-2100-111-1-10000333333−3−3−3−3−3−3000000000000002i−2i0000−i−iii0−i3i3000
χ2022222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1112211111-2-2100-111-1-10000333333−3−3−3−3−3−300000000000000−2i2i0000ii−i−i0i3−i3000
χ2122222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1112211111-2-2100-111-1-10000−3−3−3−3−3−3333333000000000000002i−2i0000−i−iii0i3−i3000
χ2222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1112211111-2-2100-111-1-10000−3−3−3−3−3−333333300000000000000−2i2i0000ii−i−i0−i3i3000
χ232222-122222-1-1-1222-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ242222-122222-1-1-1222-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-20011110000000000
χ252222-122222-1-1-1222-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-211112222-1-1-1-1-1-1-1-1-2-20011110000000000
χ262222-122222-1-1-1222-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-21111-2-2-2-2111111112200-1-1-1-10000000000
χ272222-12-22-22-1-1-12221111-1-2-1-1-1-221111-211-1-1200-2-1-11133−3−30033−3−30033−3−322-2-2-1-1-1-11111000033−3−30000000000
χ282222-12-22-22-1-1-12221111-1-2-1-1-1-221111-211-1-1200-2-1-11133−3−30033−3−30033−3−3-2-2221111-1-1-1-10000−3−3330000000000
χ292222-12-22-22-1-1-12221111-1-2-1-1-1-221111-211-1-1200-2-1-111−3−33300−3−33300−3−33322-2-2-1-1-1-111110000−3−3330000000000
χ302222-12-22-22-1-1-12221111-1-2-1-1-1-221111-211-1-1200-2-1-111−3−33300−3−33300−3−333-2-2221111-1-1-1-1000033−3−30000000000
χ312-22-2220-2022-2-22-2-20000202-2-20-200000002-22−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2000022-2-2−i2i200−i2i2−i2i20000000000
χ322-22-2220-2022-2-22-2-20000202-2-20-200000002-22−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-220000-2-222i2−i200i2−i2i2−i20000000000
χ332-22-2220-2022-2-22-2-20000202-2-20-200000002-22i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2000022-2-2i2−i200i2−i2i2−i20000000000
χ342-22-2220-2022-2-22-2-20000202-2-20-200000002-22i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-220000-2-222−i2i200−i2i2−i2i20000000000
χ352-22-2-120-202-1112-2-23−33−3-10-1110-23−33−303−3-112−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002-233−3−3-1-111−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ362-22-2-120-202-1112-2-23−33−3-10-1110-23−33−303−3-112−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300-22−3−33311-1-1i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ372-22-2-120-202-1112-2-23−33−3-10-1110-23−33−303−3-112i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002-233−3−3-1-111i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ382-22-2-120-202-1112-2-23−33−3-10-1110-23−33−303−3-112i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300-22−3−33311-1-1−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ392-22-2-120-202-1112-2-2−33−33-10-1110-2−33−330−33-112−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7002-2−3−333-1-111−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ402-22-2-120-202-1112-2-2−33−33-10-1110-2−33−330−33-112−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700-2233−3−311-1-1i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ412-22-2-120-202-1112-2-2−33−33-10-1110-2−33−330−33-112i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7002-2−3−333-1-111i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ422-22-2-120-202-1112-2-2−33−33-10-1110-2−33−330−33-112i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700-2233−3−311-1-1−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ4344444-24-44-4444-2-2-24444-2-4-2-2-2-22-4-4-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000
χ4444444-2-44-44444-2-2-2-4-4-4-4-2-4-2-2-22-2-4-42222244-2002-2-2220000000000000000000000000000000000000000000000
χ454444-244-44-4-2-2-2444-2-2-2-2-2-4-2-2-24-422-2-24-2-222-400-422220000000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-2-2-24442222-24-2-2-2-4-4-2-222-42222-400422-2-20000000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-244-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-100000033-3-300-3-333000000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-1000000-3-3330033-3-3000000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-222221-41112-222-1-12-1-1-2-2-200211-1-12323−23−2300−3−33300−3−333000000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-222221-41112-222-1-12-1-1-2-2-200211-1-1−23−2323230033−3−30033−3−3000000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-222221411122-2-2-1-12-1-122200-2-1-11100002323−3−3−3−3−23−233333000000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-222221411122-2-2-1-12-1-122200-2-1-1110000−23−2333332323−3−3−3−3000000000000000000000000000000
χ5544-4-4440000-44-4-4-44000040-44-400000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000000
χ5644-4-4440000-44-4-4-44000040-44-4000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000000
χ5744-4-4-2400002-22-4-4423−23−2323-202-22000023−230−232300000000000000000000000000−2i22i200i2−i2i2−i2i6−i6i6−i6000000000000000000
χ5844-4-4-2400002-22-4-4423−23−2323-202-22000023−230−2323000000000000000000000000002i2−2i200−i2i2−i2i2−i6i6−i6i6000000000000000000
χ5944-4-4-2400002-22-4-44−232323−23-202-220000−2323023−2300000000000000000000000000−2i22i200i2−i2i2−i2−i6i6−i6i6000000000000000000
χ6044-4-4-2400002-22-4-44−232323−23-202-220000−2323023−23000000000000000000000000002i2−2i200−i2i2−i2i2i6−i6i6−i6000000000000000000
χ614-44-444040-44-4-44-4-40000404-4-4040000000-44-4000-44000000000000000000000000000000000000000000000000
χ624-44-44-2040-44-4-4-2220000-20-2220-20000000-4420002-2000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000
χ634-44-44-2040-44-4-4-2220000-20-2220-20000000-4420002-2000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000
χ644-44-44-20-4044-4-4-2220000-20-2220200000004-4-2−2i22i20-2200−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ654-44-44-20-4044-4-4-2220000-20-2220200000004-4-22i2−2i20-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ664-44-4-24040-4-2224-4-423−2323−23-20-22204−232323−23023−232-2-40002-2−23230000000000000000000000000000000000000000000000
χ674-44-4-24040-4-2224-4-4−2323−2323-20-2220423−23−23230−23232-2-40002-223−230000000000000000000000000000000000000000000000
χ684-44-4-2-2040-4-222-22223−2323−23101-1-10-2−2323−330−332-22000-113−30000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000
χ694-44-4-2-2040-4-222-22223−2323−23101-1-10-2−2323−330−332-22000-113−30000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000
χ704-44-4-2-2040-4-222-222−2323−2323101-1-10-223−233−303−32-22000-11−330000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000
χ714-44-4-2-2040-4-222-222−2323−2323101-1-10-223−233−303−32-22000-11−330000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000
χ724-44-4-2-20-404-222-22223−2323−23101-1-10223−23−330−33-22-2−2i22i201-1−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000000000000000000
χ734-44-4-2-20-404-222-22223−2323−23101-1-10223−23−330−33-22-22i2−2i201-1−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000000000
χ744-44-4-2-20-404-222-222−2323−2323101-1-102−23233−303−3-22-2−2i22i201-13−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000000000
χ754-44-4-2-20-404-222-222−2323−2323101-1-102−23233−303−3-22-22i2−2i201-13−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000000000000000
χ764-4-444440-40-4-44-44-444-4-440-4-44400044-4-4-400000000000000000000000000000000000000000000000000000000
χ774-4-4444-4040-4-44-44-4-4-44440-4-44-4000-4-444400000000000000000000000000000000000000000000000000000000
χ784-4-444-240-40-4-442-2244-4-4-2022-2-2000-2-22220000000000000000000000000000000000000000000000i6−i6i6−i6000000
χ794-4-444-240-40-4-442-2244-4-4-2022-2-2000-2-22220000000000000000000000000000000000000000000000−i6i6−i6i6000000
χ804-4-444-2-4040-4-442-22-4-444-2022-2200022-2-2-200000000000000000000000000000000000000000000006−6−66000000
χ814-4-444-2-4040-4-442-22-4-444-2022-2200022-2-2-20000000000000000000000000000000000000000000000−666−6000000
χ824-4-44-2440-4022-2-44-4-2-222-2022-24000-2-2-422000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ834-4-44-2440-4022-2-44-4-2-222-2022-24000-2-2-422000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ844-4-44-24-404022-2-44-422-2-2-2022-2-4000224-2-2000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ854-4-44-24-404022-2-44-422-2-2-2022-2-4000224-2-2000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ8688-8-88-40000-88-844-40000-404-4400000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-4444-443−43−434320-22-20000−2323023−2300000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4444-4−434343−4320-22-2000023−230−232300000000000000000000000000000000000000000000000000000000
χ898-8-88-4-480-8044-44-44-4-44420-2-22-4000224-2-200000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4-808044-44-4444-4-420-2-224000-2-2-42200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.