Finite Group Databasebeta

← Group #13161192

Character table — Group #13161192

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order122233333446666666666666663333666666666666121212121212121212122244412121212121212121212121212121212121212121212121212121212121212121212666666661212121212121212888841212121212121212242424248888412122
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
χ11222222-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ12222222-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122222-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2111111000000000000
χ13222222-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2-222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000-2-2-2111111000000000000
χ14222222-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2111111-2-21111110000222-1-1-1-1-1-1000000000000
χ15222222-1-1-1-2-222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-222-2-200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-1-1-1-1-1-1-2-21111110000000−i3−i3−i3i3i3i3000000000000
χ16222222-1-1-1-2-222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-222-2-200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-1-1-2-21111110000000i3i3i3−i3−i3−i3000000000000
χ17222222-1-1-1-2-222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-22200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211111122-1-1-1-1-1-10000000i3i3i3−i3−i3−i3000000000000
χ18222222-1-1-1-2-222-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-22200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211111122-1-1-1-1-1-10000000−i3−i3−i3i3i3i3000000000000
χ1922222-12-1-1222-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122222222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002-1-12-1-12-1-1000000000000
χ2022222-12-1-1222-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122222-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000-211-211-211000000000000
χ2122222-12-1-1222-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2-2-2222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-111-2-2111111-2-211110000-211-211-211000000000000
χ2222222-12-1-1222-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2-2-2-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-2111111-2-2111111-2-2111100002-1-12-1-12-1-1000000000000
χ2322222-12-1-1-2-22-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222-2-2000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-1-122-1-1-1-111-2-2111100000−i3i30−i3i30−i3i3000000000000
χ2422222-12-1-1-2-22-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-1-122-1-1-1-111-2-2111100000i3−i30i3−i30i3−i3000000000000
χ2522222-12-1-1-2-22-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-222000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-21111-1-122-1-1-1-100000i3−i30i3−i30i3−i3000000000000
χ2622222-12-1-1-2-22-12-1-12-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-222000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-21111-1-122-1-1-1-100000−i3i30−i3i30−i3i3000000000000
χ2722222-1-12-1222-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122222222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100002-1-1-12-1-1-12000000000000
χ2822222-1-12-1222-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122222-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-10000-2111-2111-2000000000000
χ2922222-1-12-1222-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2-2-2222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1221111-2-2111111-2-2110000-2111-2111-2000000000000
χ3022222-1-12-1222-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2-2-2-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-21111-2-2111111-2-21100002-1-1-12-1-1-12000000000000
χ3122222-1-12-1-2-22-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222-2-2000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-1-1-1-122-1-11111-2-21100000−i3i3i30−i3−i3i30000000000000
χ3222222-1-12-1-2-22-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222-2-2000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-1-1-1-122-1-11111-2-21100000i3−i3−i30i3i3−i30000000000000
χ3322222-1-12-1-2-22-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-222000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3001111-2-211-1-1-1-122-1-100000i3−i3−i30i3i3−i30000000000000
χ3422222-1-12-1-2-22-1-12-12-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-222000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3001111-2-211-1-1-1-122-1-100000−i3i3i30−i3−i3i30000000000000
χ3522222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200002-1-1-1-12-12-1000000000000
χ3622222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222222-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-211-1-1-1-1-1-122-1-1-1-1-1-1220000-21111-21-21000000000000
χ3722222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-2-2-2-2222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1111111-2-2111111-2-20000-21111-21-21000000000000
χ3822222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-2-2-2-2-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-211111111-2-2111111-2-200002-1-1-1-12-12-1000000000000
χ3922222-1-1-12-2-22-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222-2-2000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-1-1-1-1-1-122111111-2-200000−i3i3−i3i30i30−i3000000000000
χ4022222-1-1-12-2-22-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222-2-2000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-1-1-1-1-1-122111111-2-200000i3−i3i3−i30−i30i3000000000000
χ4122222-1-1-12-2-22-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-222000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3111111-2-2-1-1-1-1-1-12200000i3−i3i3−i30−i30i3000000000000
χ4222222-1-1-12-2-22-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-222000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3111111-2-2-1-1-1-1-1-12200000−i3i3−i3i30i30−i3000000000000
χ432222-1222222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ442222-1222222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ452222-1222222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222000000000-1-1-1-10000-2110
χ462222-1222222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-2000000000111100002-1-10
χ4722-2-222222002-2-2-2-2-22-22-22-22-2-222222-22-22-22-2-2-2-2-20000000000002i−2i00000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i22−2−200000000022−2−2−i2−i2i2i20000
χ4822-2-222222002-2-2-2-2-22-22-22-22-2-222222-22-22-22-2-2-2-2-20000000000002i−2i00000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i−2−222000000000−2−222i2i2−i2−i20000
χ4922-2-222222002-2-2-2-2-22-22-22-22-2-222222-22-22-22-2-2-2-2-2000000000000−2i2i0000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i22−2−200000000022−2−2i2i2−i2−i20000
χ5022-2-222222002-2-2-2-2-22-22-22-22-2-222222-22-22-22-2-2-2-2-2000000000000−2i2i0000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2−222000000000−2−222−i2−i2i2i20000
χ512-22-2222222-2-2-2-2-2-22-22-22-22-22-22222-2-2-2-2-2-2-2-2222222-22-22-22-2-20000000000000002-22-22-22-2000000000000000000000000000000002i−2i2i−2i0000000002i−2i2i−2i00000000
χ522-22-2222222-2-2-2-2-2-22-22-22-22-22-22222-2-2-2-2-2-2-2-2222222-22-22-22-2-20000000000000002-22-22-22-200000000000000000000000000000000−2i2i−2i2i000000000−2i2i−2i2i00000000
χ532-22-222222-22-2-2-2-2-22-22-22-22-22-22222-2-2-2-2-2-2-2-22222-2-22-22-22-222000000000000000-22-22-22-2200000000000000000000000000000000000000000000000002-22-20000
χ542-22-222222-22-2-2-2-2-22-22-22-22-22-22222-2-2-2-2-2-2-2-22222-2-22-22-22-222000000000000000-22-22-22-220000000000000000000000000000000000000000000000000-22-220000
χ552-22-2-122222-21-2-2-2-2-1-22-22-22-221-1-1-1-111111111-1-1-1-1-12-22-22-22-2100000−i3i300000000-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000002i−2i2i−2i000000000−ii−ii000003−30
χ562-22-2-122222-21-2-2-2-2-1-22-22-22-221-1-1-1-111111111-1-1-1-1-12-22-22-22-2100000−i3i300000000-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000−2i2i−2i2i000000000i−ii−i00000−330
χ572-22-2-122222-21-2-2-2-2-1-22-22-22-221-1-1-1-111111111-1-1-1-1-12-22-22-22-2100000i3−i300000000-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000002i−2i2i−2i000000000−ii−ii00000−330
χ582-22-2-122222-21-2-2-2-2-1-22-22-22-221-1-1-1-111111111-1-1-1-1-12-22-22-22-2100000i3−i300000000-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000−2i2i−2i2i000000000i−ii−i000003−30
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χ12588-8-8-48-4-4-400-4-844448-8-44-44-444-4222-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-4-4-4-48004-4-4-484444444-8-8-4222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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