Finite Group Databasebeta

← Group #11865320

Character table — Group #11865320

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order124422233444666666121212121212121222344666666666666666666666666666121212121212121212121212121212121212121212121212121212122222444444446666121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ611111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ911-1-111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111-1-111-1-11-11-11-11-11-1
χ1011-1-111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1111-1-1-1-1111-1-11-11-11-11
χ1111-1-111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11111-1-1-111-1-11-11-11
χ1211-1-111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1-111-1-111-11-111-11-11-1
χ1311-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-11-1-11-111-11-1-1-111-1-1111-11-11-11-1-11
χ1411-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-111-11-1-11-1-11111-1-11-1-11-11-111-1
χ1511-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-11-1-11-111-111-1-1-1-111-111-1-11-111-1
χ1611-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-11-111-11-1-11-1111-1-111-1-1-11-111-11-1-11
χ1722222222-122222-1-12-12222-1-1-1-122-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022002200-1-10000-1-1-1-100-1-1000000
χ1822222222-122222-1-12-12222-1-1-1-122-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-20011000011110011000000
χ1922222222-122222-1-12-12222-1-1-1-1-2-2-1-2-222-1-1-2-2-2-21111-1-1-1-1-1-111111111-122-1-1-2-2-2-21111-1-1-1-1-1-1-1-1111111110022002200-2-200-1-10000111100-1-1000000
χ2022222222-122222-1-12-12222-1-1-1-1-2-2-1-2-222-1-1-2-2-2-21111-1-1-1-1-1-111111111-122-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111100-2-200-2-2002200110000-1-1-1-10011000000
χ212222222-12222-1-122-12-1-1-1-1222222-122-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022002200-1-100-1-1-1-10000-1-100000000
χ222222222-12222-1-122-12-1-1-1-1222222-122-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2001100111100001100000000
χ232222222-12222-1-122-12-1-1-1-12222-2-2-1-2-2-1-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1221111-2-2-2-2-1-1-1-1-1-1-1-11111111122002200-2-200-1-10011110000-1-100000000
χ242222222-12222-1-122-12-1-1-1-12222-2-2-1-2-2-1-1221111-2-2-2-2-1-1-1-1-1-111111111-1-1-1221111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-200-2-20022001100-1-1-1-100001100000000
χ2522222-2-2222-2-222-2-222222222-2-200200-2-22-20000000022-2-2-2-2000000002-2-22-2000000002222-2-2-2-2000000002-200-220000002-20000000000-2200000000
χ2622222-2-2222-2-222-2-222222222-2-200200-2-22-20000000022-2-2-2-2000000002-2-22-2000000002222-2-2-2-200000000-22002-2000000-2200000000002-200000000
χ2722222-2-2-122-2-2-1-1-2-2-12-1-1-1-122-2-200-100112-2−i3−i3i3i30000-1-11111−i3−i3−i3−i3i3i3i3i3-1112-2−i3−i3i3i30000-1-1-1-11111−i3−i3−i3−i3i3i3i3i32-200-22000000-1100−i3i3−i3i300001-100000000
χ2822222-2-2-122-2-2-1-1-2-2-12-1-1-1-122-2-200-100112-2−i3−i3i3i30000-1-11111−i3−i3−i3−i3i3i3i3i3-1112-2−i3−i3i3i30000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-22002-20000001-100i3−i3i3−i30000-1100000000
χ2922222-2-2-122-2-2-1-1-2-2-12-1-1-1-122-2-200-100112-2i3i3−i3−i30000-1-11111i3i3i3i3−i3−i3−i3−i3-1112-2i3i3−i3−i30000-1-1-1-11111i3i3i3i3−i3−i3−i3−i32-200-22000000-1100i3−i3i3−i300001-100000000
χ3022222-2-2-122-2-2-1-1-2-2-12-1-1-1-122-2-200-100112-2i3i3−i3−i30000-1-11111i3i3i3i3−i3−i3−i3−i3-1112-2i3i3−i3−i30000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-22002-20000001-100−i3i3−i3i30000-1100000000
χ312222-22-222-22-2-2-2222222-2-22222002002-2-2-200000000-2-222-2-20000000022-2-2-20000000022-2-222-2-200000000002-200-220000002-20000000000-22000000
χ322222-22-222-22-2-2-2222222-2-22222002002-2-2-200000000-2-222-2-20000000022-2-2-20000000022-2-222-2-20000000000-22002-2000000-2200000000002-2000000
χ332222-22-22-1-22-2-2-2-1-12-122-2-2-1-1-1-100-1002-2110000−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2110000−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i3002-200-22000000-110000−i3i3−i3i3001-1000000
χ342222-22-22-1-22-2-2-2-1-12-122-2-2-1-1-1-100-1002-2110000−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2110000−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i300-22002-20000001-10000i3−i3i3−i300-11000000
χ352222-22-22-1-22-2-2-2-1-12-122-2-2-1-1-1-100-1002-2110000i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2110000i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i3002-200-22000000-110000i3−i3i3−i3001-1000000
χ362222-22-22-1-22-2-2-2-1-12-122-2-2-1-1-1-100-1002-2110000i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2110000i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i300-22002-20000001-10000−i3i3−i3i300-11000000
χ372222-2-2222-2-22-2-2-2-22222-2-222-2-200200-22-2200000000-2-2-2-222000000002-22-220000000022-2-2-2-2220000000000000000000000000000000000002-2-2200
χ382222-2-2222-2-22-2-2-2-22222-2-222-2-200200-22-2200000000-2-2-2-222000000002-22-220000000022-2-2-2-222000000000000000000000000000000000000-222-200
χ3922-2-22222-1-2-2-222-1-12-1-2-2-2-2111122-1-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211111111111111111111002-2002-2002-200-110000-1-11100-11000000
χ4022-2-22222-1-2-2-222-1-12-1-2-2-2-2111122-1-2-222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-21111111111111111111100-2200-2200-22001-1000011-1-1001-1000000
χ4122-2-22222-1-2-2-222-1-12-1-2-2-2-21111-2-2-12222-1-1-2-2-2-21111-1-1-1-1-1-111111111-1-2-2112222-1-1-1-111111111-1-1-1-1-1-1-1-1002-2002-200-2200-11000011-1-100-11000000
χ4222-2-22222-1-2-2-222-1-12-1-2-2-2-21111-2-2-12222-1-1-2-2-2-21111-1-1-1-1-1-111111111-1-2-2112222-1-1-1-111111111-1-1-1-1-1-1-1-100-2200-22002-2001-10000-1-111001-1000000
χ4322-2-2222-12-2-2-2-1-122-121111-2-2-2-222-1-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-21111-2-2-2-211111111111111112-2002-2002-200-1100-1-1110000-1100000000
χ4422-2-2222-12-2-2-2-1-122-121111-2-2-2-222-1-2-2-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-21111-2-2-2-21111111111111111-2200-2200-22001-10011-1-100001-100000000
χ4522-2-2222-12-2-2-2-1-122-121111-2-2-2-2-2-2-122-1-1221111-2-2-2-2-1-1-1-1-1-111111111-111-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-12-2002-200-2200-110011-1-10000-1100000000
χ4622-2-2222-12-2-2-2-1-122-121111-2-2-2-2-2-2-122-1-1221111-2-2-2-2-1-1-1-1-1-111111111-111-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1-2200-22002-2001-100-1-11100001-100000000
χ4722-2-22-2-222-22222-2-222-2-2-2-2-2-22200200-2-22-20000000022-2-2-2-200000000222-2200000000-2-2-2-22222000000002200-2-2000000220000000000-2-200000000
χ4822-2-22-2-222-22222-2-222-2-2-2-2-2-22200200-2-22-20000000022-2-2-2-200000000222-2200000000-2-2-2-2222200000000-2-20022000000-2-200000000002200000000
χ4922-2-22-2-2-12-222-1-1-2-2-121111-2-22200-100112-2−i3−i3i3i30000-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1-22i3i3−i3−i300001111-1-1-1-1i3i3i3i3−i3−i3−i3−i32200-2-2000000-1-100−i3i3i3−i300001100000000
χ5022-2-22-2-2-12-222-1-1-2-2-121111-2-22200-100112-2−i3−i3i3i30000-1-11111−i3−i3−i3−i3i3i3i3i3-1-1-1-22i3i3−i3−i300001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2-200220000001100i3−i3−i3i30000-1-100000000
χ5122-2-22-2-2-12-222-1-1-2-2-121111-2-22200-100112-2i3i3−i3−i30000-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1-22−i3−i3i3i300001111-1-1-1-1−i3−i3−i3−i3i3i3i3i32200-2-2000000-1-100i3−i3−i3i300001100000000
χ5222-2-22-2-2-12-222-1-1-2-2-121111-2-22200-100112-2i3i3−i3−i30000-1-11111i3i3i3i3−i3−i3−i3−i3-1-1-1-22−i3−i3i3i300001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2-200220000001100−i3i3i3−i30000-1-100000000
χ5322-2-2-22-2222-22-2-22222-2-222-2-2-2-2002002-2-2-200000000-2-222-2-2000000002-222200000000-2-222-2-22200000000002200-2-2000000220000000000-2-2000000
χ5422-2-2-22-2222-22-2-22222-2-222-2-2-2-2002002-2-2-200000000-2-222-2-2000000002-222200000000-2-222-2-2220000000000-2-20022000000-2-2000000000022000000
χ5522-2-2-22-22-12-22-2-2-1-12-1-2-222111100-1002-2110000−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-22-1-10000i3i3−i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3002200-2-2000000-1-10000−i3i3i3−i30011000000
χ5622-2-2-22-22-12-22-2-2-1-12-1-2-222111100-1002-2110000−i3−i3i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-22-1-10000i3i3−i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i300-2-20022000000110000i3−i3−i3i300-1-1000000
χ5722-2-2-22-22-12-22-2-2-1-12-1-2-222111100-1002-2110000i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-22-1-10000−i3−i3i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i3002200-2-2000000-1-10000i3−i3−i3i30011000000
χ5822-2-2-22-22-12-22-2-2-1-12-1-2-222111100-1002-2110000i3i3−i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-22-1-10000−i3−i3i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i300-2-20022000000110000−i3i3i3−i300-1-1000000
χ5922-2-2-2-222222-2-2-2-2-222-2-222-2-22200200-22-2200000000-2-2-2-2220000000022-22-200000000-2-22222-2-200000000000000000000000000000000000022-2-200
χ6022-2-2-2-222222-2-2-2-2-222-2-222-2-22200200-22-2200000000-2-2-2-2220000000022-22-200000000-2-22222-2-2000000000000000000000000000000000000-2-22200
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-222222222111111-1-1-1-1-1-1-1-11-2-2-2-22222222211111111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6344444-4-44-24-4-444224-24444-2-22200-200-4-4-2200000000-2-2222200000000-2-4-4-2200000000-2-2-2-22222000000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-222-2-2-2-2-2-2-2-2220010022-22−2i3−2i32i32i3000011-1-1-1-1i3i3i3i3−i3−i3−i3−i3122-22−2i3−2i32i32i300001111-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-222-2-2-2-2-2-2-2-2220010022-222i32i3−2i3−2i3000011-1-1-1-1−i3−i3−i3−i3i3i3i3i3122-222i32i3−2i3−2i300001111-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-44-4-24-44-42244-24-2-222444400-200-22-4-40000000022-2-22200000000-2-22-4-400000000-2-222-2-222000000000000000000000000000000000000000000
χ674444-44-4-2-2-44-422-2-2-2-2-2-222-2-2-2-200100-22220000−2i3−2i32i32i3-1-111-1-1i3i3−i3−i3i3i3−i3−i31-22220000−2i3−2i32i32i311-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.