Finite Group Databasebeta

← Group #13161231

Character table — Group #13161231

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order122233333446666666666666663333666666666666121212121212121212124444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888266666666242424248888412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-200000000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000
χ11222222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ12222222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122222-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2111111000000000000
χ13222222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2-222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000-2-2-2111111000000000000
χ14222222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2111111-2-21111110000222-1-1-1-1-1-1000000000000
χ15222222-1-1-1-2-222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-222-2-200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-1-1-1-1-1-1-2-21111110000000−i3−i3−i3i3i3i3000000000000
χ16222222-1-1-1-2-222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-222-2-200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-1-1-2-21111110000000i3i3i3−i3−i3−i3000000000000
χ17222222-1-1-1-2-222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-22200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211111122-1-1-1-1-1-10000000i3i3i3−i3−i3−i3000000000000
χ18222222-1-1-1-2-222222-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-22200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211111122-1-1-1-1-1-10000000−i3−i3−i3i3i3i3000000000000
χ1922222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122222222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002-1-12-1-12-1-1000000000000
χ2022222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122222-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000-211-211-211000000000000
χ2122222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2-2-2222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-111-2-2111111-2-211110000-211-211-211000000000000
χ2222222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2-2-2-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-2111111-2-2111111-2-2111100002-1-12-1-12-1-1000000000000
χ2322222-12-1-1-2-222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222-2-2000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-1-122-1-1-1-111-2-2111100000−i3i30−i3i30−i3i3000000000000
χ2422222-12-1-1-2-222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-1-122-1-1-1-111-2-2111100000i3−i30i3−i30i3−i3000000000000
χ2522222-12-1-1-2-222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-222000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-21111-1-122-1-1-1-100000i3−i30i3−i30i3−i3000000000000
χ2622222-12-1-1-2-222-1-1-1222-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-222000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-21111-1-122-1-1-1-100000−i3i30−i3i30−i3i3000000000000
χ2722222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122222222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100002-1-1-12-1-1-12000000000000
χ2822222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122222-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-10000-2111-2111-2000000000000
χ2922222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2-2-2222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1221111-2-2111111-2-2110000-2111-2111-2000000000000
χ3022222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2-2-2-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-21111-2-2111111-2-21100002-1-1-12-1-1-12000000000000
χ3122222-1-12-1-2-222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222-2-2000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-1-1-1-122-1-11111-2-21100000−i3i3i30−i3−i3i30000000000000
χ3222222-1-12-1-2-222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222-2-2000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-1-1-1-122-1-11111-2-21100000i3−i3−i30i3i3−i30000000000000
χ3322222-1-12-1-2-222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-222000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3001111-2-211-1-1-1-122-1-100000i3−i3−i30i3i3−i30000000000000
χ3422222-1-12-1-2-222-1-1-1-1-1-1222-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-222000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3001111-2-211-1-1-1-122-1-100000−i3i3i30−i3−i3i30000000000000
χ3522222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200002-1-1-1-12-12-1000000000000
χ3622222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-211-1-1-1-1-1-122-1-1-1-1-1-1220000-21111-21-21000000000000
χ3722222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-2-2-2-2222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1111111-2-2111111-2-20000-21111-21-21000000000000
χ3822222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-2-2-2-2-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-211111111-2-2111111-2-200002-1-1-1-12-12-1000000000000
χ3922222-1-1-12-2-222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222-2-2000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-1-1-1-1-1-122111111-2-200000−i3i3−i3i30i30−i3000000000000
χ4022222-1-1-12-2-222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222-2-2000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-1-1-1-1-1-122111111-2-200000i3−i3i3−i30−i30i3000000000000
χ4122222-1-1-12-2-222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-222000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3111111-2-2-1-1-1-1-1-12200000i3−i3i3−i30−i30i3000000000000
χ4222222-1-1-12-2-222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-222000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3111111-2-2-1-1-1-1-1-12200000−i3i3−i3i30i30−i3000000000000
χ432222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ442222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ452222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222000000000-1-1-1-10000-2110
χ462222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-2000000000111100002-1-10
χ4722-2-2222222-2-222-2-22-2-22-2-22-2-2-22222-2-2-2-2-2-2-2-22222-22-22-22-22-220000000000000002-22-22-22-200000000000000000000000000000000000000000000000002i2i−2i−2i0000
χ4822-2-2222222-2-222-2-22-2-22-2-22-2-2-22222-2-2-2-2-2-2-2-22222-22-22-22-22-220000000000000002-22-22-22-20000000000000000000000000000000000000000000000000−2i−2i2i2i0000
χ4922-2-222222-22-222-2-22-2-22-2-22-2-2-22222-2-2-2-2-2-2-2-222222-22-22-22-22-2000000000000000-22-22-22-22000000000000000000000000000000002i2i−2i−2i0000000002i2i−2i−2i00000000
χ5022-2-222222-22-222-2-22-2-22-2-22-2-2-22222-2-2-2-2-2-2-2-222222-22-22-22-22-2000000000000000-22-22-22-2200000000000000000000000000000000−2i−2i2i2i000000000−2i−2i2i2i00000000
χ5122-2-2-12222-221-12-2-22-2-22-2-22-2-21-1-1-1-111111111-1-1-1-1-1-22-22-22-22100000−i3i3000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000002i2i−2i−2i000000000−i−iii000003−30
χ5222-2-2-12222-221-12-2-22-2-22-2-22-2-21-1-1-1-111111111-1-1-1-1-1-22-22-22-22100000−i3i3000000001-11-11-11-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000−2i−2i2i2i000000000ii−i−i00000−330
χ5322-2-2-12222-221-12-2-22-2-22-2-22-2-21-1-1-1-111111111-1-1-1-1-1-22-22-22-22100000i3−i3000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000002i2i−2i−2i000000000−i−iii00000−330
χ5422-2-2-12222-221-12-2-22-2-22-2-22-2-21-1-1-1-111111111-1-1-1-1-1-22-22-22-22100000i3−i3000000001-11-11-11-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000−2i−2i2i2i000000000ii−i−i000003−30
χ552-22-22222200-2-2-22-2-22-2-22-2-22-2222222-22-22-22-2-2-2-2-20000000000002i−2i00000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i−i2i2−i2i2000000000−i2i2−i2i22−22−20000
χ562-22-22222200-2-2-22-2-22-2-22-2-22-2222222-22-22-22-2-2-2-2-20000000000002i−2i00000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2ii2−i2i2−i2000000000i2−i2i2−i2−22−220000
χ572-22-22222200-2-2-22-2-22-2-22-2-22-2222222-22-22-22-2-2-2-2-2000000000000−2i2i0000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−i2i2−i2i2000000000−i2i2−i2i2−22−220000
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χ592-2-2222222002-2-2-22-2-22-2-22-2-22-22222-22-22-22-22-2-2-2-200000000002i−2i00000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000002−2−220000000002−2−22−i2i2i2−i20000
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χ9344-4-4-2-24-2-24-42-2-2224-4-4-222-22221-211-1-122-1-1-1-11-2112-224-4-22-22-20000000000000001-1-221-11-13-3-33003-3-33003-3-3300000000000000000000000000000000000000000
χ9444-4-4-2-24-2-24-42-2-2224-4-4-222-22221-211-1-122-1-1-1-11-2112-224-4-22-22-20000000000000001-1-221-11-1-333-300-333-300-333-300000000000000000000000000000000000000000
χ9544-4-4-2-24-2-2-442-2-2224-4-4-222-22221-211-1-122-1-1-1-11-211-22-2-442-22-2200000−2i32i300000000-112-2-11-11i3−i3i3−i3−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i300000000000000000000000000000000000000000
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χ9844-4-4-2-2-24-24-42-2-222-2224-4-4-222211-21-1-1-1-122-1-111-212-22-224-4-22-20000000000000001-11-1-221-1-333-33-300-33-333-30000000000000000000000000000000000000000000
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χ1184-4-444-24-2-2004-422-2-4-4422-222-2-4-24-2-22-2-442-22-22-4220000000000−4i4i00000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000
χ1194-4-444-2-24-2004-422-222-2-4-4422-2-4-2-24-22-22-2-442-222-4200000000004i−4i0000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000
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χ1258-88-8-48-4-4-40044-88-84-444-444-44-4-4222-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-48-4-400444-44-88-84-444-44-42-4222-2-442-22-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4-48-400444-444-44-88-84-44-422-422-22-2-442-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1298-8-88-48-4-4-400-44-8-8844-444-444-44-42224-4-22-22-224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1318-8-88-4-4-48-400-4444-444-4-8-8844-4422-42-22-224-4-22-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-4-4800-4444-444-444-4-8-884222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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