Finite Group Databasebeta

← Group #13164491

Character table — Group #13164491

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11111122222222233333366666666666666666121212121212121212121212181818181818181818181818242424242424363636363636363636363636363636363636484848484848484848
order1233664441212121212122266663444666666612121212121212121212121212121212121244441212121212121212333666222444666666121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ31111111-1-111-1-1-1-111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1
χ41111111-1-111-1-1-1-111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-11111-1-11111111-1-1-1-1-1-1
χ5111111-11-1-1-111-1-11111111-11-11111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-1
χ6111111-11-1-1-111-1-11111111-11-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1111-1-11111-1-111-1-1-1111-1-1-1
χ7111111-1-11-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ8111111-1-11-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-1-1-1111
χ922222222222222222222222222222222222222222222222222000000000000-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1
χ10222222222222222222222-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-12-1-10000000000000000002-1-12-1-12-1-1
χ11222222222222222222222-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-12-1-12-1000000000000000000-12-1-12-1-12-1
χ12222222222222222222222-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-12-1-12000000000000000000-1-12-1-12-1-12
χ132222222-2-222-2-2-2-222222222-2-2222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1000000000000000000-1-1-1111111
χ142222222-2-222-2-2-2-2222222-12-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000002-1-12-1-10000000000000000002-1-1-211-211
χ152222222-2-222-2-2-2-2222222-12-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000-12-1-12-1000000000000000000-12-11-211-21
χ162222222-2-222-2-2-2-2222222-12-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000-1-12-1-12000000000000000000-1-1211-211-2
χ17222222-22-2-2-222-2-22222222-22-22222222-2-222-2-2-2-2-2-22222-2-2-2-2000000000000-1-1-1-1-1-1000000000000000000111-1-1-1111
χ18222222-22-2-2-222-2-2222222-1-22-2-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000002-1-12-1-1000000000000000000-2112-1-1-211
χ19222222-22-2-2-222-2-2222222-1-22-2-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000000000-12-1-12-10000000000000000001-21-12-11-21
χ20222222-22-2-2-222-2-2222222-1-22-2-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000000000-1-12-1-1200000000000000000011-2-1-1211-2
χ21222222-2-22-2-2-2-2222222222-2-222222222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000-1-1-1-1-1-1000000000000000000111111-1-1-1
χ22222222-2-22-2-2-2-222222222-1-2-22-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000002-1-12-1-1000000000000000000-211-2112-1-1
χ23222222-2-22-2-2-2-222222222-1-2-22-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000000000-12-1-12-10000000000000000001-211-21-12-1
χ24222222-2-22-2-2-2-222222222-1-2-22-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000000000-1-12-1-1200000000000000000011-211-2-1-12
χ252-222-2-2000000000-22-2-2222000222-2-2-2-20000000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i222-2-2-2000000000000000000000000000
χ262-222-2-2000000000-22-2-2222000222-2-2-2-2000000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i222-2-2-2000000000000000000000000000
χ27333333333333333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-13-1-1-1-1-1-13-1-1-13-1-1-13-1-1-111-1-11111-1-1-1-1000000111-1-1-1111111-1-1-1-1-1-1000000000
χ28333333333333333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-13-1-1-1-1-1-13-1-1-13-1-1-13-1-1-1-1-111-1-1-1-11111000000-1-1-1111-1-1-1-1-1-1111111000000000
χ293333333-3-333-3-3-3-3-1-1-1-1-1-13-111-1-1-1-1-1-13-1-111113-1-1-1-3111-311111-1-11111-1-1-1-10000001-1-1-11111-1-1-1-1-1-11111000000000
χ303333333-3-333-3-3-3-3-1-1-1-1-1-13-111-1-1-1-1-1-13-1-111113-1-1-1-3111-3111-1-111-1-1-1-11111000000-1111-1-1-1-1111111-1-1-1-1000000000
χ31333333-33-3-3-333-3-3-1-1-1-1-1-131-11-1-1-1-1-1-1311-1-111-31113-1-1-1-311111-1-11111-1-1-1-1000000-11-11-11-1-111-1-111-1-111000000000
χ32333333-33-3-3-333-3-3-1-1-1-1-1-131-11-1-1-1-1-1-1311-1-111-31113-1-1-1-3111-1-111-1-1-1-111110000001-11-11-111-1-111-1-111-1-1000000000
χ33333333-3-33-3-3-3-333-1-1-1-1-1-1311-1-1-1-1-1-1-131111-1-1-3111-31113-1-1-111-1-11111-1-1-1-1000000-1-1111-1-1-1-1-1111111-1-1000000000
χ34333333-3-33-3-3-3-333-1-1-1-1-1-1311-1-1-1-1-1-1-131111-1-1-3111-31113-1-1-1-1-111-1-1-1-1111100000011-1-1-111111-1-1-1-1-1-111000000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3203330000000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3203330000000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000
χ3733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320-1-1-12−1−i3−1+i32−1−i3−1+i301+i321−i321+i321−i321+i321−i3202−1−i3−1+i302−1−i3−1+i302−1−i3−1+i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000000111-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32000000000
χ3833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i320-1-1-12−1−i3−1+i32−1−i3−1+i301+i321−i321+i321−i321+i321−i3202−1−i3−1+i302−1−i3−1+i302−1−i3−1+i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i3203-3-30000000−3−3i32−3+3i323+3i323−3i323+3i323−3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-11-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i3203-3-30000000−3−3i32−3+3i323+3i323−3i323+3i323−3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000-111-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000000
χ4133−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320-1112−1−i3−1+i32−1−i3−1+i301+i321−i32−1−i32−1+i32−1−i32−1+i3202−1−i3−1+i30-21+i31−i30-21+i31−i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i320000001-1-1-111−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000000
χ4233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-11+i321−i321+i321−i320-1112−1−i3−1+i32−1−i3−1+i301+i321−i32−1−i32−1+i32−1−i32−1+i3202−1−i3−1+i30-21+i31−i30-21+i31−i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000-1111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-33-300000003+3i323−3i32−3−3i32−3+3i323+3i323−3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-11-1-11-11+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32000000000
χ4433−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-33-300000003+3i323−3i32−3−3i32−3+3i323+3i323−3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000001-111-11−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000000
χ4533−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i3201-112−1−i3−1+i32−1−i3−1+i30−1−i32−1+i321+i321−i32−1−i32−1+i320-21+i31−i302−1−i3−1+i30-21+i31−i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000000-11-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32000000000
χ4633−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i3201-112−1−i3−1+i32−1−i3−1+i30−1−i32−1+i321+i321−i32−1−i32−1+i320-21+i31−i302−1−i3−1+i30-21+i31−i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i320000001-11-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320-3-3300000003+3i323−3i323+3i323−3i32−3−3i32−3+3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1-11-1-111+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32000000000
χ4833−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320-3-3300000003+3i323−3i323+3i323−3i32−3−3i32−3+3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000011-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000000
χ4933−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32011-12−1−i3−1+i32−1−i3−1+i30−1−i32−1+i32−1−i32−1+i321+i321−i320-21+i31−i30-21+i31−i302−1−i3−1+i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32000000-1-1111-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32000000000
χ5033−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32011-12−1−i3−1+i32−1−i3−1+i30−1−i32−1+i32−1−i32−1+i321+i321−i320-21+i31−i30-21+i31−i302−1−i3−1+i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200000011-1-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32000000000
χ5133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3203330000000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000
χ5233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3203330000000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000
χ5333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320-1-1-12−1+i3−1−i32−1+i3−1−i301−i321+i321−i321+i321−i321+i3202−1+i3−1−i302−1+i3−1−i302−1+i3−1−i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000111-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32000000000
χ5433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i320-1-1-12−1+i3−1−i32−1+i3−1−i301−i321+i321−i321+i321−i321+i3202−1+i3−1−i302−1+i3−1−i302−1+i3−1−i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000
χ5533−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i3203-3-30000000−3+3i32−3−3i323−3i323+3i323−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-11-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32000000000
χ5633−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i3203-3-30000000−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000-111-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000
χ5733−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320-1112−1+i3−1−i32−1+i3−1−i301−i321+i32−1+i32−1−i32−1+i32−1−i3202−1+i3−1−i30-21−i31+i30-21−i31+i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i320000001-1-1-111−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000000
χ5833−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-1-11−i321+i321−i321+i320-1112−1+i3−1−i32−1+i3−1−i301−i321+i32−1+i32−1−i32−1+i32−1−i3202−1+i3−1−i30-21−i31+i30-21−i31+i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32000000-1111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000000
χ5933−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-33-300000003−3i323+3i32−3+3i32−3−3i323−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-11-1-11-11−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32000000000
χ6033−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-33-300000003−3i323+3i32−3+3i32−3−3i323−3i323+3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000001-111-11−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000000
χ6133−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321+i321−i321+i3201-112−1+i3−1−i32−1+i3−1−i30−1+i32−1−i321−i321+i32−1+i32−1−i320-21−i31+i302−1+i3−1−i30-21−i31+i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000-11-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32000000000
χ6233−3+3i32−3−3i32−3+3i32−3−3i32-33-33−3i323+3i32−3+3i32−3−3i323−3i323+3i32-1-11−i321+i321−i321+i3201-112−1+i3−1−i32−1+i3−1−i30−1+i32−1−i321−i321+i32−1+i32−1−i320-21−i31+i302−1+i3−1−i30-21−i31+i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i320000001-11-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32000000000
χ6333−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320-3-3300000003−3i323+3i323−3i323+3i32−3+3i32−3−3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1-11-1-111−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32000000000
χ6433−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320-3-3300000003−3i323+3i323−3i323+3i32−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000011-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000000
χ6533−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32011-12−1+i3−1−i32−1+i3−1−i30−1+i32−1−i32−1+i32−1−i321−i321+i320-21−i31+i30-21−i31+i302−1+i3−1−i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32000000-1-1111-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32000000000
χ6633−3+3i32−3−3i32−3+3i32−3−3i32-3-333−3i323+3i323−3i323+3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32011-12−1+i3−1−i32−1+i3−1−i30−1+i32−1−i32−1+i32−1−i321−i321+i320-21−i31+i30-21−i31+i302−1+i3−1−i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200000011-1-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32000000000
χ674-444-4-4000000000-44-4-4444000444-4-4-4-4000000000000000000000000000000-2-2-2222000000000000000000000000000
χ684-444-4-4000000000-44-4-444-2000-2-2-222220000000000000000000000000000004-2-2-422000000000000000000000000000
χ694-444-4-4000000000-44-4-444-2000-2-2-22222000000000000000000000000000000-24-22-42000000000000000000000000000
χ704-444-4-4000000000-44-4-444-2000-2-2-22222000000000000000000000000000000-2-2422-4000000000000000000000000000
χ71666666666666666-2-2-2-2-2-2-3-2-2-2111111-3-2-2-2-2-2-2-3111-3111-3111000000000000000000000000000000000000000000000
χ726666666-6-666-6-6-6-6-2-2-2-2-2-2-3-222111111-3-2-22222-31113-1-1-13-1-1-1000000000000000000000000000000000000000000000
χ73666666-66-6-6-666-6-6-2-2-2-2-2-2-32-22111111-322-2-2223-1-1-1-31113-1-1-1000000000000000000000000000000000000000000000
χ74666666-6-66-6-6-6-666-2-2-2-2-2-2-322-2111111-32222-2-23-1-1-13-1-1-1-3111000000000000000000000000000000000000000000000
χ7566−3−3i3−3+3i3−3−3i3−3+3i3666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i30-2-2-2-21+i31−i3-21+i31−i301+i31−i31+i31−i31+i31−i30-21+i31−i30-21+i31−i30-21+i31−i3000000000000000000000000000000000000000000000
χ7666−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3-2-21+i31−i31+i31−i30-222-21+i31−i3-21+i31−i301+i31−i3−1−i3−1+i3−1−i3−1+i30-21+i31−i302−1−i3−1+i302−1−i3−1+i3000000000000000000000000000000000000000000000
χ7766−3−3i3−3+3i3−3−3i3−3+3i3-66-63+3i33−3i3−3−3i3−3+3i33+3i33−3i3-2-21+i31−i31+i31−i302-22-21+i31−i3-21+i31−i30−1−i3−1+i31+i31−i3−1−i3−1+i302−1−i3−1+i30-21+i31−i302−1−i3−1+i3000000000000000000000000000000000000000000000
χ7866−3−3i3−3+3i3−3−3i3−3+3i3-6-663+3i33−3i33+3i33−3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i3022-2-21+i31−i3-21+i31−i30−1−i3−1+i3−1−i3−1+i31+i31−i302−1−i3−1+i302−1−i3−1+i30-21+i31−i3000000000000000000000000000000000000000000000
χ7966−3+3i3−3−3i3−3+3i3−3−3i3666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i30-2-2-2-21−i31+i3-21−i31+i301−i31+i31−i31+i31−i31+i30-21−i31+i30-21−i31+i30-21−i31+i3000000000000000000000000000000000000000000000
χ8066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3-2-21−i31+i31−i31+i30-222-21−i31+i3-21−i31+i301−i31+i3−1+i3−1−i3−1+i3−1−i30-21−i31+i302−1+i3−1−i302−1+i3−1−i3000000000000000000000000000000000000000000000
χ8166−3+3i3−3−3i3−3+3i3−3−3i3-66-63−3i33+3i3−3+3i3−3−3i33−3i33+3i3-2-21−i31+i31−i31+i302-22-21−i31+i3-21−i31+i30−1+i3−1−i31−i31+i3−1+i3−1−i302−1+i3−1−i30-21−i31+i302−1+i3−1−i3000000000000000000000000000000000000000000000
χ8266−3+3i3−3−3i3−3+3i3−3−3i3-6-663−3i33+3i33−3i33+3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3022-2-21−i31+i3-21−i31+i30−1+i3−1−i3−1+i3−1−i31−i31+i302−1+i3−1−i302−1+i3−1−i30-21−i31+i3000000000000000000000000000000000000000000000
χ836-666-6-60000000002-222-2-26000-2-2-2222-60000000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000
χ846-666-6-60000000002-222-2-26000-2-2-2222-6000000000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000
χ856-6−3−3i3−3+3i33+3i33−3i30000000002-2−1−i3−1+i31+i31−i300004−2−2i3−2+2i3-42+2i32−2i300000000000000000002i−2i−2i2i2ζ112ζ7−2ζ11−2ζ7−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000
χ866-6−3−3i3−3+3i33+3i33−3i30000000002-2−1−i3−1+i31+i31−i300004−2−2i3−2+2i3-42+2i32−2i30000000000000000000−2i2i2i−2i−2ζ11−2ζ72ζ112ζ72ζ112ζ7−2ζ11−2ζ7000000000000000000000000000000000
χ876-6−3−3i3−3+3i33+3i33−3i3000000000-663+3i33−3i3−3−3i3−3+3i3000000000000000000000000000002i−2i2i−2i2ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ7000000000000000000000000000000000
χ886-6−3−3i3−3+3i33+3i33−3i3000000000-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000−2i2i−2i2i−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000
χ896-6−3+3i3−3−3i33−3i33+3i30000000002-2−1+i3−1−i31−i31+i300004−2+2i3−2−2i3-42−2i32+2i300000000000000000002i−2i−2i2i2ζ72ζ11−2ζ7−2ζ11−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000
χ906-6−3+3i3−3−3i33−3i33+3i30000000002-2−1+i3−1−i31−i31+i300004−2+2i3−2−2i3-42−2i32+2i30000000000000000000−2i2i2i−2i−2ζ7−2ζ112ζ72ζ112ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000000
χ916-6−3+3i3−3−3i33−3i33+3i3000000000-663−3i33+3i3−3+3i3−3−3i3000000000000000000000000000002i−2i2i−2i2ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000000
χ926-6−3+3i3−3−3i33−3i33+3i3000000000-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000−2i2i−2i2i−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000
χ9312-121212-12-120000000004-444-4-4-6000222-2-2-26000000000000000000000000000000000000000000000000000000000000000
χ9412-12−6−6i3−6+6i36+6i36−6i30000000004-4−2−2i3−2+2i32+2i32−2i30000-42+2i32−2i34−2−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000
χ9512-12−6+6i3−6−6i36−6i36+6i30000000004-4−2+2i3−2−2i32−2i32+2i30000-42−2i32+2i34−2+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.