Finite Group Databasebeta

← Group #13181260

Character table — Group #13181260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222224444444444446666666699991212121212121212181822224444444444888888888888121212121212121218181818242424242424242436363333666666666612121212121212121212121218181818181818182727272736363636363636365454
order1244233466121212123666661212121212122222444422446666121212122436121263312661212121236666612121212121266661212121266121266661212121261222442664661212121266666612121212121222224444224466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111-111-11111111-1-1-1-11-1-111-1-11-11-11-11-111111-11-11-11-1-1-11111-111-11111111-1-1-1-11-1-111-1-11-11-11-11-111111-11-11-11-1-1-11111-111-11111111-1-1-1-11-1-111-1-11-11-11-11-111111-11-11-11-1-1-1
χ61111-111-11111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1-11-1-111-1-11111111-111-11111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1-11-1-111-1-11111111-111-11111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1-11-1-111-1-1111
χ71111-111-11111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-1111111-111-11111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-1111111-111-11111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-111
χ81111-111-11111111-1-1-1-11-1-111-1-1-11-11-11-111111-11-11-11-11-1-11111-111-11111111-1-1-1-11-1-111-1-1-11-11-11-111111-11-11-11-11-1-11111-111-11111111-1-1-1-11-1-111-1-1-11-11-11-111111-11-11-11-11-1-1
χ911-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1111-1-11-11-1-11-111-111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1111-1-11-11-1-11-111-111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1111-1-11-11-1-11-111-1
χ1011-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-1-11-111-1-1-1111-1-11-111-1-1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-1-11-111-1-1-1111-1-11-111-1-1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-1-11-111-1-1-1111-1-11-111-1-11
χ1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-111-11-1-11-1-111-111-11-1-11-1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-111-11-1-11-1-111-111-11-1-11-1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-111-11-1-11-1-111-111-11-1-11-11
χ1211-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-11-111-11-111-1-1-11-111-11-11-111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-11-111-11-111-1-1-11-111-11-11-111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-11-111-11-111-1-1-11-111-11-11-1
χ1311-1-1-111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-11
χ1411-1-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-11-111-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-11-111-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-11-1
χ1611-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-11111-11
χ17222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220022000000-1-100-1-100222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220022000000-1-100-1-100222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220022000000-1-100-1-100
χ18222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-200-2-200000011001100222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-200-2-200000011001100222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-200-2-200000011001100
χ1922222-122-12-1-122-1-12-1-1-1-12-1-1-1-1220022000000-1-100-1-1000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1220022000000-1-100-1-1000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1220022000000-1-100-1-10000
χ2022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-200-2-2000000110011000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-200-2-2000000110011000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-200-2-20000001100110000
χ212222-22-1-22-122-1-1-1-2111-1-21-1-111002-2002-2000000-1100-11002222-22-1-22-122-1-1-1-2111-1-21-1-111002-2002-2000000-1100-11002222-22-1-22-122-1-1-1-2111-1-21-1-111002-2002-2000000-1100-1100
χ222222-22-1-22-122-1-1-1-2111-1-21-1-11100-2200-220000001-1001-1002222-22-1-22-122-1-1-1-2111-1-21-1-11100-2200-220000001-1001-1002222-22-1-22-122-1-1-1-2111-1-21-1-11100-2200-220000001-1001-100
χ232222-2-12-2-12-1-122-11-211-11-2-1-1112-2002-2000000-1100-1100002222-2-12-2-12-1-122-11-211-11-2-1-1112-2002-2000000-1100-1100002222-2-12-2-12-1-122-11-211-11-2-1-1112-2002-2000000-1100-110000
χ242222-2-12-2-12-1-122-11-211-11-2-1-111-2200-220000001-1001-100002222-2-12-2-12-1-122-11-211-11-2-1-111-2200-220000001-1001-100002222-2-12-2-12-1-122-11-211-11-2-1-111-2200-220000001-1001-10000
χ2522-2-222-1-22-1-2-211-12-1-1-1-1-211111002-200-22000000-11001-10022-2-222-1-22-1-2-211-12-1-1-1-1-211111002-200-22000000-11001-10022-2-222-1-22-1-2-211-12-1-1-1-1-211111002-200-22000000-11001-100
χ2622-2-222-1-22-1-2-211-12-1-1-1-1-21111100-22002-20000001-100-110022-2-222-1-22-1-2-211-12-1-1-1-1-21111100-22002-20000001-100-110022-2-222-1-22-1-2-211-12-1-1-1-1-21111100-22002-20000001-100-1100
χ2722-2-22-12-2-1211-2-2-1-12-1-1-11-211112-200-22000000-11001-1000022-2-22-12-2-1211-2-2-1-12-1-1-11-211112-200-22000000-11001-1000022-2-22-12-2-1211-2-2-1-12-1-1-11-211112-200-22000000-11001-10000
χ2822-2-22-12-2-1211-2-2-1-12-1-1-11-21111-22002-20000001-100-11000022-2-22-12-2-1211-2-2-1-12-1-1-11-21111-22002-20000001-100-11000022-2-22-12-2-1211-2-2-1-12-1-1-11-21111-22002-20000001-100-110000
χ2922-2-2-22-122-1-2-211-1-2111-12-111-1-1002200-2-2000000-1-100110022-2-2-22-122-1-2-211-1-2111-12-111-1-1002200-2-2000000-1-100110022-2-2-22-122-1-2-211-1-2111-12-111-1-1002200-2-2000000-1-1001100
χ3022-2-2-22-122-1-2-211-1-2111-12-111-1-100-2-200220000001100-1-10022-2-2-22-122-1-2-211-1-2111-12-111-1-100-2-200220000001100-1-10022-2-2-22-122-1-2-211-1-2111-12-111-1-100-2-200220000001100-1-100
χ3122-2-2-2-122-1211-2-2-11-211-1-1211-1-12200-2-2000000-1-10011000022-2-2-2-122-1211-2-2-11-211-1-1211-1-12200-2-2000000-1-10011000022-2-2-2-122-1211-2-2-11-211-1-1211-1-12200-2-2000000-1-100110000
χ3222-2-2-2-122-1211-2-2-11-211-1-1211-1-1-2-200220000001100-1-1000022-2-2-2-122-1211-2-2-11-211-1-1211-1-1-2-200220000001100-1-1000022-2-2-2-122-1211-2-2-11-211-1-1211-1-1-2-200220000001100-1-10000
χ332-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i00000000002-22i−2i00000000002-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i00000000002-22i−2i00000000002-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i00000000002-22i−2i0000000000
χ342-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i0000000000-22−2i2i00000000002-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i0000000000-22−2i2i00000000002-22i−2i0220-2-22i−2i2i−2i20000-2002i−2i0000000000-22−2i2i0000000000
χ352-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i00000000002-2−2i2i00000000002-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i00000000002-2−2i2i00000000002-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i00000000002-2−2i2i0000000000
χ362-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i0000000000-222i−2i00000000002-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i0000000000-222i−2i00000000002-2−2i2i0220-2-2−2i2i−2i2i20000-200−2i2i0000000000-222i−2i0000000000
χ3744444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000000000
χ384444-4-2-2-4-2-2-2-2-2-2122-1-112211-1-100000000000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-112211-1-100000000000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-112211-1-10000000000000000000000
χ3944-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-10000000000000000000000
χ4044-4-4-4-2-24-2-22222122-1-11-2-2-1-111000000000000000000000044-4-4-4-2-24-2-22222122-1-11-2-2-1-111000000000000000000000044-4-4-4-2-24-2-22222122-1-11-2-2-1-1110000000000000000000000
χ414-44i−4i04-20-424i−4i−2i2i-20000200−2i2i0000000000000000000000004-44i−4i04-20-424i−4i−2i2i-20000200−2i2i0000000000000000000000004-44i−4i04-20-424i−4i−2i2i-20000200−2i2i000000000000000000000000
χ424-44i−4i0-2402-4−2i2i4i−4i-20000200−2i2i0000000000000000000000004-44i−4i0-2402-4−2i2i4i−4i-20000200−2i2i0000000000000000000000004-44i−4i0-2402-4−2i2i4i−4i-20000200−2i2i000000000000000000000000
χ434-44i−4i0-2-2022−2i2i−2i2i1003-3-100i−i3i−3i00000000000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-100i−i3i−3i00000000000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-100i−i3i−3i0000000000000000000000
χ444-44i−4i0-2-2022−2i2i−2i2i100-33-100i−i−3i3i00000000000000000000004-44i−4i0-2-2022−2i2i−2i2i100-33-100i−i−3i3i00000000000000000000004-44i−4i0-2-2022−2i2i−2i2i100-33-100i−i−3i3i0000000000000000000000
χ454-4−4i4i04-20-42−4i4i2i−2i-200002002i−2i0000000000000000000000004-4−4i4i04-20-42−4i4i2i−2i-200002002i−2i0000000000000000000000004-4−4i4i04-20-42−4i4i2i−2i-200002002i−2i000000000000000000000000
χ464-4−4i4i0-2402-42i−2i−4i4i-200002002i−2i0000000000000000000000004-4−4i4i0-2402-42i−2i−4i4i-200002002i−2i0000000000000000000000004-4−4i4i0-2402-42i−2i−4i4i-200002002i−2i000000000000000000000000
χ474-4−4i4i0-2-20222i−2i2i−2i1003-3-100−ii−3i3i00000000000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−ii−3i3i00000000000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−ii−3i3i0000000000000000000000
χ484-4−4i4i0-2-20222i−2i2i−2i100-33-100−ii3i−3i00000000000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-100−ii3i−3i00000000000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-100−ii3i−3i0000000000000000000000
χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11111
χ5111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111
χ5211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ531111-111-11111111-1-1-1-11-1-111-1-11-11-11-11-111111-11-11-11-1-1-11111-111-11111111-1-1-1-11-1-111-1-11-11-11-11-111111-11-11-11-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-111-11-11-11-11-1-1-1-1-11-11-11-1111
χ541111-111-11111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1-11-1-111-1-11111111-111-11111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1-11-1-111-1-1111-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-111-111-1-111-11111-111-1-111-1-1-1
χ551111-111-11111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-1111111-111-11111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-111-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-1111-1-111-1-1111111-1-111-1-11-1-1
χ561111-111-11111111-1-1-1-11-1-111-1-1-11-11-11-111111-11-11-11-11-1-11111-111-11111111-1-1-1-11-1-111-1-1-11-11-11-111111-11-11-11-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-1111-11-11-11-1-1-1-1-11-11-11-11-111
χ5711-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1111-1-11-11-1-11-111-111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-11-1-11-1111-1-11-11-1-11-111-1-1-111-1-1-11-1-11111-1-1-1-1-1-1111111-11-111-11-1-1-111-11-111-11-1-11
χ5811-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-1-11-111-1-1-1111-1-11-111-1-1111-1-1111-111-1-1-1-1111111-1-1-1-1-1-11-1-11-111-1-1-1111-1-11-111-1-11-1-111-1-1-11-1-11111-1-1-1-1-1-1111111-111-11-1-1111-1-1-111-11-1-111-1
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χ13388888-4-48-4-4-4-4-4-42-4-4222-4-422220000000000000000000000-4-4-4-4-422-4222222-122-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-8-4-4-8-4-4-4-4-4-4244-2-224422-2-20000000000000000000000-4-4-4-44224222222-1-2-211-1-2-2-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-88-4-4-8-4-444442-4-422244-2-2-2-20000000000000000000000-4-444-422422-2-2-2-2-122-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-8-4-48-4-44444244-2-22-4-4-2-2220000000000000000000000-4-444422-422-2-2-2-2-1-2-211-12211-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88i−8i08-40-848i−8i−4i4i-40000400−4i4i000000000000000000000000-44−4i4i0-4204-2−4i4i2i−2i20000-2002i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88i−8i0-4804-8−4i4i8i−8i-40000400−4i4i000000000000000000000000-44−4i4i02-40-242i−2i−4i4i20000-2002i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88i−8i0-4-4044−4i4i−4i4i2006-6-2002i−2i6i−6i0000000000000000000000-44−4i4i0220-2-22i−2i2i−2i-100-33100−ii−3i3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88i−8i0-4-4044−4i4i−4i4i200-66-2002i−2i−6i6i0000000000000000000000-44−4i4i0220-2-22i−2i2i−2i-1003-3100−ii3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8−8i8i08-40-84−8i8i4i−4i-400004004i−4i000000000000000000000000-444i−4i0-4204-24i−4i−2i2i20000-200−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8−8i8i0-4804-84i−4i−8i8i-400004004i−4i000000000000000000000000-444i−4i02-40-24−2i2i4i−4i20000-200−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8−8i8i0-4-40444i−4i4i−4i2006-6-200−2i2i−6i6i0000000000000000000000-444i−4i0220-2-2−2i2i−2i2i-100-33100i−i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8−8i8i0-4-40444i−4i4i−4i200-66-200−2i2i6i−6i0000000000000000000000-444i−4i0220-2-2−2i2i−2i2i-1003-3100i−i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000

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