Finite Group Databasebeta

← Group #13164476

Character table — Group #13164476

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111122233333366666666666666666662424242424242424242424243636363636363636363636361111112223333336666666666666666666242424242424242424242424363636363636363636363636
order1233664121222666634666666612121212121212121212333666121212121212224466661212121222666641212226666646666666121212121212121212126666661212121212122244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111-1-1-11111111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1111111-1-1-11111111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1
χ4111111-1-1-11111111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111111111-1-1-11111111-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111
χ52222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ6222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-1000000000000222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-1000000000000
χ7222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1000000000000222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1000000000000
χ8222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122000000000000222222222222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122000000000000
χ9222222-2-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111000000000000222222-2-2-22222222-22222222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111000000000000
χ10222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-2111111112-1-12-1-1-2-21111000000000000222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-2111111112-1-12-1-1-2-21111000000000000
χ11222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-211111111-12-1-12-111-2-211000000000000222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-211111111-12-1-12-111-2-211000000000000
χ12222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-211111111-1-12-1-121111-2-2000000000000222222-2-2-2222222-1-2-1-1-1-1-1-1-1-2-211111111-1-12-1-121111-2-2000000000000
χ132-222-2-2000-22-2-22220222-2-2-2-20000000000222-2-2-20000000000000000002-222-2-2000-22-2-22220222-2-2-2-20000000000222-2-2-2000000000000000000
χ142-222-2-2000-22-2-22220222-2-2-2-20000000000-1-1-11113−33−33−30000000000002-222-2-2000-22-2-22220222-2-2-2-20000000000-1-1-11113−33−33−3000000000000
χ152-222-2-2000-22-2-22220222-2-2-2-20000000000-1-1-1111−33−33−330000000000002-222-2-2000-22-2-22220222-2-2-2-20000000000-1-1-1111−33−33−33000000000000
χ162-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−32-1-1-211003−3−330000000000002-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−32-1-1-211003−3−33000000000000
χ172-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−3-12-11-21−33003−30000000000002-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−3-12-11-21−33003−3000000000000
χ182-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−3-1-1211-23−3−33000000000000002-222-2-2000-22-2-222-10-1-1-11111003333−3−3−3−3-1-1211-23−3−3300000000000000
χ192-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−333332-1-1-21100−333−30000000000002-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−333332-1-1-21100−333−3000000000000
χ202-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−33333-12-11-213−300−330000000000002-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−33333-12-11-213−300−33000000000000
χ212-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−33333-1-1211-2−333−3000000000000002-222-2-2000-22-2-222-10-1-1-1111100−3−3−3−33333-1-1211-2−333−300000000000000
χ22333333333-1-1-1-1-1-13-1-1-1-1-1-1-13-1-13-1-1-13-1-1-100000000000011-1-11111-1-1-1-1333333333-1-1-1-1-1-13-1-1-1-1-1-1-13-1-13-1-1-13-1-1-100000000000011-1-11111-1-1-1-1
χ23333333333-1-1-1-1-1-13-1-1-1-1-1-1-13-1-13-1-1-13-1-1-1000000000000-1-111-1-1-1-11111333333333-1-1-1-1-1-13-1-1-1-1-1-1-13-1-13-1-1-13-1-1-1000000000000-1-111-1-1-1-11111
χ24333333-3-3-3-1-1-1-1-1-131-1-1-1-1-1-1311-3111-31110000000000001-1-1111-1-1-1-111333333-3-3-3-1-1-1-1-1-131-1-1-1-1-1-1311-3111-31110000000000001-1-1111-1-1-1-111
χ25333333-3-3-3-1-1-1-1-1-131-1-1-1-1-1-1311-3111-3111000000000000-111-1-1-11111-1-1333333-3-3-3-1-1-1-1-1-131-1-1-1-1-1-1311-3111-3111000000000000-111-1-1-11111-1-1
χ2633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32030000000−3−3i32−3+3i32000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32030000000−3−3i32−3+3i32000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32030000000−3−3i32−3+3i3200000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32030000000−3−3i32−3+3i3200000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ2833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320-12−1−i3−1+i32−1−i3−1+i301+i321−i3202−1−i3−1+i302−1−i3−1+i300000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320-12−1−i3−1+i32−1−i3−1+i301+i321−i3202−1−i3−1+i302−1−i3−1+i300000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320-12−1−i3−1+i32−1−i3−1+i301+i321−i3202−1−i3−1+i302−1−i3−1+i3000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320-12−1−i3−1+i32−1−i3−1+i301+i321−i3202−1−i3−1+i302−1−i3−1+i3000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-300000003+3i323−3i32000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-300000003+3i323−3i32000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-300000003+3i323−3i3200000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3233−3−3i32−3+3i32−3−3i32−3+3i320-300000003+3i323−3i3200000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32012−1−i3−1+i32−1−i3−1+i30−1−i32−1+i320-21+i31−i30-21+i31−i30000000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32012−1−i3−1+i32−1−i3−1+i30−1−i32−1+i320-21+i31−i30-21+i31−i30000000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ3333−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32012−1−i3−1+i32−1−i3−1+i30−1−i32−1+i320-21+i31−i30-21+i31−i3000000000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32012−1−i3−1+i32−1−i3−1+i30−1−i32−1+i320-21+i31−i30-21+i31−i3000000000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32030000000−3+3i32−3−3i32000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32030000000−3+3i32−3−3i32000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32030000000−3+3i32−3−3i3200000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32030000000−3+3i32−3−3i3200000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ3633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320-12−1+i3−1−i32−1+i3−1−i301−i321+i3202−1+i3−1−i302−1+i3−1−i300000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320-12−1+i3−1−i32−1+i3−1−i301−i321+i3202−1+i3−1−i302−1+i3−1−i300000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ3733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320-12−1+i3−1−i32−1+i3−1−i301−i321+i3202−1+i3−1−i302−1+i3−1−i3000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320-12−1+i3−1−i32−1+i3−1−i301−i321+i3202−1+i3−1−i302−1+i3−1−i3000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ3833−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-300000003−3i323+3i32000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-300000003−3i323+3i32000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ3933−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-300000003−3i323+3i3200000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3233−3+3i32−3−3i32−3+3i32−3−3i320-300000003−3i323+3i3200000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ4033−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32012−1+i3−1−i32−1+i3−1−i30−1+i32−1−i320-21−i31+i30-21−i31+i30000000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32012−1+i3−1−i32−1+i3−1−i30−1+i32−1−i320-21−i31+i30-21−i31+i30000000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4133−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32012−1+i3−1−i32−1+i3−1−i30−1+i32−1−i320-21−i31+i30-21−i31+i3000000000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32012−1+i3−1−i32−1+i3−1−i30−1+i32−1−i320-21−i31+i30-21−i31+i3000000000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ42666666666-2-2-2-2-2-2-3-2111111-3-2-2-3111-3111000000000000000000000000666666666-2-2-2-2-2-2-3-2111111-3-2-2-3111-3111000000000000000000000000
χ43666666-6-6-6-2-2-2-2-2-2-32111111-3223-1-1-13-1-1-1000000000000000000000000666666-6-6-6-2-2-2-2-2-2-32111111-3223-1-1-13-1-1-1000000000000000000000000
χ4466−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31−i31+i31−i30-2-21+i31−i3-21+i31−i301+i31−i30-21+i31−i30-21+i31−i300000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31−i31+i31−i30-2-21+i31−i3-21+i31−i301+i31−i30-21+i31−i30-21+i31−i3000000000000000000000000
χ4566−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3-2-21+i31−i31+i31−i302-21+i31−i3-21+i31−i30−1−i3−1+i302−1−i3−1+i302−1−i3−1+i300000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3-2-21+i31−i31+i31−i302-21+i31−i3-21+i31−i30−1−i3−1+i302−1−i3−1+i302−1−i3−1+i3000000000000000000000000
χ4666−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31+i31−i31+i30-2-21−i31+i3-21−i31+i301−i31+i30-21−i31+i30-21−i31+i300000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31+i31−i31+i30-2-21−i31+i3-21−i31+i301−i31+i30-21−i31+i30-21−i31+i3000000000000000000000000
χ4766−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3-2-21−i31+i31−i31+i302-21−i31+i3-21−i31+i30−1+i3−1−i302−1+i3−1−i302−1+i3−1−i300000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3-2-21−i31+i31−i31+i302-21−i31+i3-21−i31+i30−1+i3−1−i302−1+i3−1−i302−1+i3−1−i3000000000000000000000000
χ486-666-6-60002-222-2-260-2-2-2222-600000000000000000000000000000000006-666-6-60002-222-2-260-2-2-2222-60000000000000000000000000000000000
χ496-666-6-60002-222-2-2-30111-1-1-130033−3−3−3−333330000000000000000000000006-666-6-60002-222-2-2-30111-1-1-130033−3−3−3−33333000000000000000000000000
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χ10266−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-2-21+i31−i31+i31−i30-2-21+i31−i3-21+i31−i301+i31−i30-21+i31−i30-21+i31−i3000000000000000000000000-6-63+3i33−3i33+3i33−3i3-63+3i33−3i322−1−i3−1+i3−1−i3−1+i3022−1−i3−1+i32−1−i3−1+i30−1−i3−1+i302−1−i3−1+i302−1−i3−1+i3000000000000000000000000
χ10366−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3-2-21+i31−i31+i31−i302-21+i31−i3-21+i31−i30−1−i3−1+i302−1−i3−1+i302−1−i3−1+i3000000000000000000000000-6-63+3i33−3i33+3i33−3i36−3−3i3−3+3i322−1−i3−1+i3−1−i3−1+i30-22−1−i3−1+i32−1−i3−1+i301+i31−i30-21+i31−i30-21+i31−i3000000000000000000000000
χ10466−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-2-21−i31+i31−i31+i30-2-21−i31+i3-21−i31+i301−i31+i30-21−i31+i30-21−i31+i3000000000000000000000000-6-63−3i33+3i33−3i33+3i3-63−3i33+3i322−1+i3−1−i3−1+i3−1−i3022−1+i3−1−i32−1+i3−1−i30−1+i3−1−i302−1+i3−1−i302−1+i3−1−i3000000000000000000000000
χ10566−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3-2-21−i31+i31−i31+i302-21−i31+i3-21−i31+i30−1+i3−1−i302−1+i3−1−i302−1+i3−1−i3000000000000000000000000-6-63−3i33+3i33−3i33+3i36−3+3i3−3−3i322−1+i3−1−i3−1+i3−1−i30-22−1+i3−1−i32−1+i3−1−i301−i31+i30-21−i31+i30-21−i31+i3000000000000000000000000
χ1066-666-6-60002-222-2-260-2-2-2222-60000000000000000000000000000000000-66-6-666000-22-2-222-60222-2-2-260000000000000000000000000000000000
χ1076-666-6-60002-222-2-2-30111-1-1-130033−3−3−3−33333000000000000000000000000-66-6-666000-22-2-22230-1-1-1111-300−3333333−3−3−3000000000000000000000000
χ1086-666-6-60002-222-2-2-30111-1-1-1300−3333333−3−3−3000000000000000000000000-66-6-666000-22-2-22230-1-1-1111-30033−3−3−3−33333000000000000000000000000
χ1096-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i3004−2−2i3−2+2i3-42+2i32−2i300000000000000000000000000000000000-663+3i33−3i3−3−3i3−3+3i3000-221+i31−i3−1−i3−1+i300-42+2i32−2i34−2−2i3−2+2i300000000000000000000000000000000000
χ1106-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i300-21+i31−i32−1−i3−1+i30000234ζ7+2ζ11−2ζ7−4ζ110−23−4ζ7−2ζ112ζ7+4ζ11000000000000000000000000-663+3i33−3i3−3−3i3−3+3i3000-221+i31−i3−1−i3−1+i3002−1−i3−1+i3-21+i31−i30000−23−4ζ7−2ζ112ζ7+4ζ110234ζ7+2ζ11−2ζ7−4ζ11000000000000000000000000
χ1116-6−3−3i3−3+3i33+3i33−3i30002-2−1−i3−1+i31+i31−i300-21+i31−i32−1−i3−1+i30000−23−4ζ7−2ζ112ζ7+4ζ110234ζ7+2ζ11−2ζ7−4ζ11000000000000000000000000-663+3i33−3i3−3−3i3−3+3i3000-221+i31−i3−1−i3−1+i3002−1−i3−1+i3-21+i31−i30000234ζ7+2ζ11−2ζ7−4ζ110−23−4ζ7−2ζ112ζ7+4ζ11000000000000000000000000
χ1126-6−3−3i3−3+3i33+3i33−3i3000-663+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000-663+3i33−3i3−3−3i3−3+3i30006-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000
χ1136-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i3004−2+2i3−2−2i3-42−2i32+2i300000000000000000000000000000000000-663−3i33+3i3−3+3i3−3−3i3000-221−i31+i3−1+i3−1−i300-42−2i32+2i34−2+2i3−2−2i300000000000000000000000000000000000
χ1146-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i300-21−i31+i32−1+i3−1−i3000023−2ζ7−4ζ114ζ7+2ζ110−232ζ7+4ζ11−4ζ7−2ζ11000000000000000000000000-663−3i33+3i3−3+3i3−3−3i3000-221−i31+i3−1+i3−1−i3002−1+i3−1−i3-21−i31+i30000−232ζ7+4ζ11−4ζ7−2ζ11023−2ζ7−4ζ114ζ7+2ζ11000000000000000000000000
χ1156-6−3+3i3−3−3i33−3i33+3i30002-2−1+i3−1−i31−i31+i300-21−i31+i32−1+i3−1−i30000−232ζ7+4ζ11−4ζ7−2ζ11023−2ζ7−4ζ114ζ7+2ζ11000000000000000000000000-663−3i33+3i3−3+3i3−3−3i3000-221−i31+i3−1+i3−1−i3002−1+i3−1−i3-21−i31+i3000023−2ζ7−4ζ114ζ7+2ζ110−232ζ7+4ζ11−4ζ7−2ζ11000000000000000000000000
χ1166-6−3+3i3−3−3i33−3i33+3i3000-663−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000-663−3i33+3i3−3+3i3−3−3i30006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000

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