Finite Group Databasebeta

← Group #72252290

Character table — Group #72252290

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size112222222222244444444444444444444448888888888888888888888888888888888888888888888888888888888242424242424242436363636363648484848484848484848484848484848484848487272727272
order122223344446622223666666666121212121212121222446666666666666666666666666666666666121212121212121212121212121212121212121222444444222222668888121212121212242424242424242444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-11-111-1-11-111-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1
χ611111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-11-1-1-1111-111-1-1-1-1-1-11111-11111
χ711111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1111-1-1-11-1-1111111-1-1-1-1-11111
χ811111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111111-1-1-1-1
χ91111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1111-11-111-1-1-1-111-1-111-1-1-111-1-1
χ101111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1111-11-1-111-1-1-11111-1-1-1-1111-1-111
χ111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-1-1-111-11-111-1-1111-1-1-1-11111-1-11-1-111
χ121111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-111-1-111-111-1-1
χ131111111111111-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-11-1111-1-1-1-1-1-111-1-111-1-1-111
χ141111111111111-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-11-1-1-111-1-1-1-1111-1-111-11-1-1-111-1-11111-1-1111-1-1
χ151111111111111-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1111-1-1-1-1-1-111-111-1-11-1111-1-111-1-1-1-111111-1-1
χ161111111111111-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-111
χ172222222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-200002222-2-2-2-200000000222222-2-2-2-20000000000000000-2-2-2-2000000000000000022-2-22200000000000000000000-20000
χ182222222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-200002222-2-2-2-200000000222222-2-2-2-20000000000000000-2-2-2-20000000000000000-2-222-2-20000000000000000000020000
χ192222222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-222220000000022-2-2-2-222220000000000000000-2-2-2-2000000000000000022-2-2-2-20000000000000000000020000
χ202222222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-222220000000022-2-2-2-222220000000000000000-2-2-2-20000000000000000-2-2222200000000000000000000-20000
χ21222222-122222-12222-122-1-1-1-12-1-122-1-122-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200220000000-100220-100-1-10000-1-1-1-100000
χ22222222-122222-12222-122-1-1-1-12-1-122-1-122-1-1222222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-20000000100-2-20100110000111100000
χ23222222-122222-12222-122-1-1-1-12-1-122-1-122-1-1-2-2-2-222-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-1-1-111111111-2-211-2-211-1-1-1-111111111020200220000000-100-2-20-100-1-10000111100000
χ24222222-122222-12222-122-1-1-1-12-1-122-1-122-1-1-2-2-2-222-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-1-1-111111111-2-211-2-211-1-1-1-1111111110-20-200-2-20000000100220100110000-1-1-1-100000
χ25222222-122222-1-2-2-2-2-122-1-1-1-12-1-122-1-122-1-12-22-2-2-211-2-21122-1-1-2-211-1-111111111-1-1-1-1111122-1-1-2-211-1-1-1-1-1-1-1-11111020200-2-20000000-1002-20-100110000-1-11100000
χ26222222-122222-1-2-2-2-2-122-1-1-1-12-1-122-1-122-1-12-22-2-2-211-2-21122-1-1-2-211-1-111111111-1-1-1-1111122-1-1-2-211-1-1-1-1-1-1-1-111110-20-200220000000100-220100-1-1000011-1-100000
χ27222222-122222-1-2-2-2-2-122-1-1-1-12-1-122-1-122-1-1-22-22-2-211-2-211-2-21122-1-1-1-1111111111111-1-1-1-1-2-21122-1-1-1-1-1-11111-1-1-1-1020200-2-20000000-100-220-10011000011-1-100000
χ28222222-122222-1-2-2-2-2-122-1-1-1-12-1-122-1-122-1-1-22-22-2-211-2-211-2-21122-1-1-1-1111111111111-1-1-1-1-2-21122-1-1-1-1-1-11111-1-1-1-10-20-2002200000001002-20100-1-10000-1-11100000
χ2922222-122222-122222-1-1-122-1-1-12-1-1-122-1-1222222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-120202200000000-102200-10-1-100-1-1-1-1000000000
χ3022222-122222-122222-1-1-122-1-1-12-1-1-122-1-1222222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-20000000010-2-2001011001111000000000
χ3122222-122222-122222-1-1-122-1-1-12-1-1-122-1-122-2-2-2-2-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-1-1-11111111111-2-211-2-2-1-1-1-11111111120202200000000-10-2-200-10-1-1001111000000000
χ3222222-122222-122222-1-1-122-1-1-12-1-1-122-1-122-2-2-2-2-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-1-1-11111111111-2-211-2-2-1-1-1-111111111-20-20-2-200000000102200101100-1-1-1-1000000000
χ3322222-122222-12-2-2-2-2-1-1-122-1-1-12-1-1-122-1-1222-22-211-2-211-2-2-1-12211-2-2-1-111111111-1-1-1-11111-1-12211-2-2-1-1-1-1-1-1-1-111112020-2-200000000-102-200-101100-1-111000000000
χ3422222-122222-12-2-2-2-2-1-1-122-1-1-12-1-1-122-1-1222-22-211-2-211-2-2-1-12211-2-2-1-111111111-1-1-1-11111-1-12211-2-2-1-1-1-1-1-1-1-11111-20-20220000000010-220010-1-10011-1-1000000000
χ3522222-122222-12-2-2-2-2-1-1-122-1-1-12-1-1-122-1-122-22-2211-2-211-2-211-2-2-1-122-1-1111111111111-1-1-1-111-2-2-1-122-1-1-1-11111-1-1-1-12020-2-200000000-10-2200-10110011-1-1000000000
χ3622222-122222-12-2-2-2-2-1-1-122-1-1-12-1-1-122-1-122-22-2211-2-211-2-211-2-2-1-122-1-1111111111111-1-1-1-111-2-2-1-122-1-1-1-11111-1-1-1-1-20-202200000000102-20010-1-100-1-111000000000
χ3722-22-22222-2-2222-22-22-2-2-2-2-2-222222-2-2-2-22200002-22-22-22-2000000002-222-2-222-2-2000000000000000022-2-200000000020-2002-20000000200000-2002-20000000000000
χ3822-22-22222-2-2222-22-22-2-2-2-2-2-222222-2-2-2-22200002-22-22-22-2000000002-222-2-222-2-2000000000000000022-2-2000000000-20200-220000000-200000200-220000000000000
χ3922-22-22222-2-222-22-222-2-2-2-2-2-222222-2-2-2-2220000-22-22-22-22000000002-2-2-222-2-222000000000000000022-2-200000000020-200-220000000200000-200-220000000000000
χ4022-22-22222-2-222-22-222-2-2-2-2-2-222222-2-2-2-2220000-22-22-22-22000000002-2-2-222-2-222000000000000000022-2-2000000000-202002-20000000-2000002002-20000000000000
χ4122-22-222-2-222222-2-222-2-2-2-2-2-2222-2-22222-2-200002-22-2-22-22000000002-222-2-2-2-2220000000000000000-2-2220000000020-202-200000000200000-202-2000000000000000
χ4222-22-222-2-222222-2-222-2-2-2-2-2-2222-2-22222-2-200002-22-2-22-22000000002-222-2-2-2-2220000000000000000-2-22200000000-2020-2200000000-20000020-22000000000000000
χ4322-22-222-2-22222-222-22-2-2-2-2-2-2222-2-22222-2-20000-22-222-22-2000000002-2-2-22222-2-20000000000000000-2-2220000000020-20-2200000000200000-20-22000000000000000
χ4422-22-222-2-22222-222-22-2-2-2-2-2-2222-2-22222-2-20000-22-222-22-2000000002-2-2-22222-2-20000000000000000-2-22200000000-20202-200000000-200000202-2000000000000000
χ4522-22-22-122-2-22-12-22-2-1-2-211112-1-12211-2-2-1-100002-2-112-2-1100i3−i300i3−i3-11-1-111-1-111i3i3−i3−i3i3i3−i3−i300i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i3020-2002-20000000-100000100-110000i3−i3i3−i300000
χ4622-22-22-122-2-22-12-22-2-1-2-211112-1-12211-2-2-1-100002-2-112-2-1100i3−i300i3−i3-11-1-111-1-111i3i3−i3−i3i3i3−i3−i300i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i30-20200-220000000100000-1001-10000−i3i3−i3i300000
χ4722-22-22-122-2-22-12-22-2-1-2-211112-1-12211-2-2-1-100002-2-112-2-1100−i3i300−i3i3-11-1-111-1-111−i3−i3i3i3−i3−i3i3i300−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i3020-2002-20000000-100000100-110000−i3i3−i3i300000
χ4822-22-22-122-2-22-12-22-2-1-2-211112-1-12211-2-2-1-100002-2-112-2-1100−i3i300−i3i3-11-1-111-1-111−i3−i3i3i3−i3−i3i3i300−i3i300−i3i3-1-111−i3−i3i3i3−i3−i3i3i30-20200-220000000100000-1001-10000i3−i3i3−i300000
χ4922-22-22-122-2-22-1-22-22-1-2-211112-1-12211-2-2-1-10000-221-1-221-100i3−i300−i3i3-1111-1-111-1-1i3i3−i3−i3−i3−i3i3i300i3−i300−i3i3-1-111i3i3−i3−i3−i3−i3i3i3020-200-220000000-1000001001-10000i3−i3−i3i300000
χ5022-22-22-122-2-22-1-22-22-1-2-211112-1-12211-2-2-1-10000-221-1-221-100i3−i300−i3i3-1111-1-111-1-1i3i3−i3−i3−i3−i3i3i300i3−i300−i3i3-1-111i3i3−i3−i3−i3−i3i3i30-202002-20000000100000-100-110000−i3i3i3−i300000
χ5122-22-22-122-2-22-1-22-22-1-2-211112-1-12211-2-2-1-10000-221-1-221-100−i3i300i3−i3-1111-1-111-1-1−i3−i3i3i3i3i3−i3−i300−i3i300i3−i3-1-111−i3−i3i3i3i3i3−i3−i3020-200-220000000-1000001001-10000−i3i3i3−i300000
χ5222-22-22-122-2-22-1-22-22-1-2-211112-1-12211-2-2-1-10000-221-1-221-100−i3i300i3−i3-1111-1-111-1-1−i3−i3i3i3i3i3−i3−i300−i3i300i3−i3-1-111−i3−i3i3i3i3i3−i3−i30-202002-20000000100000-100-110000i3−i3−i3i300000
χ5322-22-2-12-2-222-122-2-22-111-2-211-12-11122-1-1-2-20000-112-21-1-22i3−i300i3−i300-11-1-11111-1-1i3−i3i3−i3i3−i3i3−i3i3−i300i3−i30011-1-1i3−i3i3−i3i3−i3i3−i320-202-200000000-10000010-1100i3−i3i3−i3000000000
χ5422-22-2-12-2-222-122-2-22-111-2-211-12-11122-1-1-2-20000-112-21-1-22i3−i300i3−i300-11-1-11111-1-1i3−i3i3−i3i3−i3i3−i3i3−i300i3−i30011-1-1i3−i3i3−i3i3−i3i3−i3-2020-2200000000100000-101-100−i3i3−i3i3000000000
χ5522-22-2-12-2-222-122-2-22-111-2-211-12-11122-1-1-2-20000-112-21-1-22−i3i300−i3i300-11-1-11111-1-1−i3i3−i3i3−i3i3−i3i3−i3i300−i3i30011-1-1−i3i3−i3i3−i3i3−i3i320-202-200000000-10000010-1100−i3i3−i3i3000000000
χ5622-22-2-12-2-222-122-2-22-111-2-211-12-11122-1-1-2-20000-112-21-1-22−i3i300−i3i300-11-1-11111-1-1−i3i3−i3i3−i3i3−i3i3−i3i300−i3i30011-1-1−i3i3−i3i3−i3i3−i3i3-2020-2200000000100000-101-100i3−i3i3−i3000000000
χ5722-22-2-12-2-222-12-222-2-111-2-211-12-11122-1-1-2-200001-1-22-112-2i3−i300−i3i300-1111-1-1-1-111i3−i3i3−i3−i3i3−i3i3i3−i300−i3i30011-1-1i3−i3i3−i3−i3i3−i3i320-20-2200000000-100000101-100i3−i3−i3i3000000000
χ5822-22-2-12-2-222-12-222-2-111-2-211-12-11122-1-1-2-200001-1-22-112-2i3−i300−i3i300-1111-1-1-1-111i3−i3i3−i3−i3i3−i3i3i3−i300−i3i30011-1-1i3−i3i3−i3−i3i3−i3i3-20202-200000000100000-10-1100−i3i3i3−i3000000000
χ5922-22-2-12-2-222-12-222-2-111-2-211-12-11122-1-1-2-200001-1-22-112-2−i3i300i3−i300-1111-1-1-1-111−i3i3−i3i3i3−i3i3−i3−i3i300i3−i30011-1-1−i3i3−i3i3i3−i3i3−i320-20-2200000000-100000101-100−i3i3i3−i3000000000
χ6022-22-2-12-2-222-12-222-2-111-2-211-12-11122-1-1-2-200001-1-22-112-2−i3i300i3−i300-1111-1-1-1-111−i3i3−i3i3i3−i3i3−i3−i3i300i3−i30011-1-1−i3i3−i3i3i3−i3i3−i3-20202-200000000100000-10-1100i3−i3−i3i3000000000
χ6122-2-22222-22-222000022-22-222-2-222-22-22-22-2020-20000000000002222-2-200000000000022220000-2-2-2-22-22-20000-2-2-2-2000000002-22-200000000000000000000000002-2
χ6222-2-22222-22-222000022-22-222-2-222-22-22-22-2020-20000000000002222-2-200000000000022220000-2-2-2-22-22-20000-2-2-2-200000000-22-220000000000000000000000000-22
χ6322-2-22222-22-222000022-22-222-2-222-22-22-22-20-202000000000000-2-2-2-2-2-2000000000000-2-2-2-2000022222-22-200002222000000002-22-20000000000000000000000000-22
χ6422-2-22222-22-222000022-22-222-2-222-22-22-22-20-202000000000000-2-2-2-2-2-2000000000000-2-2-2-2000022222-22-20000222200000000-22-2200000000000000000000000002-2
χ6522-2-2222-22-2222000022-22-222-2-22-22-22-22-2220-200000000022220000-2-20000000022220000-2-2-2-20000-22-22-2-2-2-20000000000002-2-22000000000000000000000002-200
χ6622-2-2222-22-2222000022-22-222-2-22-22-22-22-2220-200000000022220000-2-20000000022220000-2-2-2-20000-22-22-2-2-2-2000000000000-222-200000000000000000000000-2200
χ6722-2-2222-22-2222000022-22-222-2-22-22-22-22-22-202000000000-2-2-2-20000-2-200000000-2-2-2-2000022220000-22-2222220000000000002-2-2200000000000000000000000-2200
χ6822-2-2222-22-2222000022-22-222-2-22-22-22-22-22-202000000000-2-2-2-20000-2-200000000-2-2-2-2000022220000-22-222222000000000000-222-2000000000000000000000002-200
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χ96444-4-4-2-2-444-4-2-2000012-22-2-1-12212-2-22-222-2000000000000002i3−2i3−2i32i300-11-33-333-33-3−i3−i3i3i3i3−i3i3−i300−2i32i32i3−2i300-111-1i3i3−i3−i3−i3i3−i3i3000000000000000000000000000000000000000
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χ9944-44-44-2-4-4444-24-4-44-2-4-422224-2-2-4-4-2-2442200004-4-22-442-200000000-22-2-22222-2-2000000000000000022-2-200000000000000000000000000000000000000000000000
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χ10744-44-4-2-2-4-444-2-24-4-4412222-1-1-2-2122-2-2-2-2220000-22-222-22-22i3−2i3002i3−2i3001-111-1-1-1-111−i3i3−i3i3−i3i3−i3i32i3−2i3002i3−2i300-1-111−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000
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χ11844-4-44-24-44-44-240000-2-224-4-2-22-4-22-2-442-2-44-40400000000022-4-40000220000000022220000-2-24400002-22-2-2-2-2-20000000000000000000000000000000000000000000
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χ12144-4-44-2-24-44-4-2-200001-22-2211221-22-22-22-220-4040000000000002222-1-13-3-333-3-333-3-33-1-1-1-10000-2-2-2-21-11-1-333-31111000000000000000000000000000000000000000
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χ12344-4-44-2-2-44-44-2-200001-22-22112212-22-22-22-240-4000000000-2-2-2-20000-1-13-3-33-333-31111-333-322220000-11-11-1-1-1-13-3-33000000000000000000000000000000000000000
χ12444-4-44-2-2-44-44-2-200001-22-22112212-22-22-22-240-4000000000-2-2-2-20000-1-1-333-33-3-3311113-3-3322220000-11-11-1-1-1-1-333-3000000000000000000000000000000000000000
χ12544-4-44-2-2-44-44-2-200001-22-22112212-22-22-22-2-40400000000022220000-1-13-3-33-333-3-1-1-1-13-3-33-2-2-2-20000-11-111111-333-3000000000000000000000000000000000000000
χ12644-4-44-2-2-44-44-2-200001-22-22112212-22-22-22-2-40400000000022220000-1-1-333-33-3-33-1-1-1-1-333-3-2-2-2-20000-11-1111113-3-33000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).