Finite Group Databasebeta

← Group #13164499

Character table — Group #13164499

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111111122222266666666666666666666121212121212121212121212242424242424242424242424242424242424242424242424363636363636363636363636363636363636363636363636
order1233446612121212246612122234466666661212121212121212666666121212121212333666666666121212121212121212121212224466668888121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-11-11-1111-1-1-1-11-1-111-1-111111-1-1-1111-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-11-11-1111-1-1-1-11-1-111-1-111111-1-1-1111-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ51111-1-111-1-1-1-11-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11-11-1-1-11111-1-111-1-1
χ61111-1-111-1-1-1-11-111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1111-1-1-1-111-1-111
χ71111-1-111-1-1-1-1-11-1-111-111-11-1-111-1-11-1-1-1-11111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-111111-1-11-1-1-1-111-1-1-1-111
χ81111-1-111-1-1-1-1-11-1-111-111-11-1-111-1-11-1-1-1-11111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-11111-1-11111-1-1
χ922222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1022222222222222222222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-1000000000000000000000000
χ1122222222222222222222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-122-1-1000000000000000000000000
χ1222222222222222222222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-12-1-1-1-122-1-1-1-122000000000000000000000000
χ13222222222222-2-2-2-2-2-22-22-2222-2-2-2-22-2-222-2-222222-2-2-2222-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-1111111000000000000000000000000
χ14222222222222-2-2-2-2-2-22-2-1-2222-2-211-1-2-2-1-11122-1-1-1111-1-1-11112-1-1-2-211112-1-122-1-1-1-1-2-21111000000000000000000000000
χ15222222222222-2-2-2-2-2-22-2-1-2222-2-211-1-2-2-1-11122-1-1-1111-1-1-1111-12-111-2-211-12-1-1-122-1-111-2-211000000000000000000000000
χ16222222222222-2-2-2-2-2-22-2-1-2222-2-211-1-2-2-1-11122-1-1-1111-1-1-1111-1-121111-2-2-1-12-1-1-1-1221111-2-2000000000000000000000000
χ172222-2-222-2-2-2-22-222-2-2-2-2222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ182222-2-222-2-2-2-22-222-2-2-2-2-122-2-2-2-2-1-1-122111122111111-1-1-1-1-1-12-1-122-1-1-1-12-1-1-2-21111-2-21111000000000000000000000000
χ192222-2-222-2-2-2-22-222-2-2-2-2-122-2-2-2-2-1-1-122111122111111-1-1-1-1-1-1-12-1-1-122-1-1-12-111-2-21111-2-211000000000000000000000000
χ202222-2-222-2-2-2-22-222-2-2-2-2-122-2-2-2-2-1-1-122111122111111-1-1-1-1-1-1-1-12-1-1-1-122-1-121111-2-21111-2-2000000000000000000000000
χ212222-2-222-2-2-2-2-22-2-222-222-22-2-222-2-22-2-2-2-22222-2-2-2222222-2-2-2-1-1-1111111-1-1-1111111-1-1-1-1-1-1000000000000000000000000
χ222222-2-222-2-2-2-2-22-2-222-22-1-22-2-22211-1-2-211-1-122111-1-1-1-1-1-11112-1-1-2-211112-1-1-2-2111122-1-1-1-1000000000000000000000000
χ232222-2-222-2-2-2-2-22-2-222-22-1-22-2-22211-1-2-211-1-122111-1-1-1-1-1-1111-12-111-2-211-12-111-2-211-1-122-1-1000000000000000000000000
χ242222-2-222-2-2-2-2-22-2-222-22-1-22-2-22211-1-2-211-1-122111-1-1-1-1-1-1111-1-121111-2-2-1-121111-2-2-1-1-1-122000000000000000000000000
χ25333333333333333333-1-13-1-1-1-1-1-1333-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000011111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ26333333333333333333-1-13-1-1-1-1-1-1333-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ27333333333333-3-3-3-3-3-3-1131-1-1-111-3-331133-3-3-1-1-1-1-1111-1-1-11110000000000000000000000001-11-111-1-1-1-11111-1-1-1-1-1-11111
χ28333333333333-3-3-3-3-3-3-1131-1-1-111-3-331133-3-3-1-1-1-1-1111-1-1-1111000000000000000000000000-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ293333-3-333-3-3-3-33-333-3-3113-1-11111333-1-1-3-3-3-3-1-1111111-1-1-1-1-1-10000000000000000000000001-1-1111-1-1-11-11-1-111-1-111-1-111
χ303333-3-333-3-3-3-33-333-3-3113-1-11111333-1-1-3-3-3-3-1-1111111-1-1-1-1-1-1000000000000000000000000-111-1-1-1111-11-111-1-111-1-111-1-1
χ313333-3-333-3-3-3-3-33-3-3331-131-111-1-1-3-3311-3-333-1-1111-1-1-1-1-1-111100000000000000000000000011-1-11111-111-1-1-1-1-1-1-11111-1-1
χ323333-3-333-3-3-3-3-33-3-3331-131-111-1-1-3-3311-3-333-1-1111-1-1-1-1-1-1111000000000000000000000000-1-111-1-1-1-11-1-11111111-1-1-1-111
χ3333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233033−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i320000−3−3i32−3+3i320000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ3433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233033−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i320000−3−3i32−3+3i32000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ3533−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-10-1-11+i321−i321+i321−i320001+i321−i3200001+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000000000000000001111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ3633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-10-1-11+i321−i321+i321−i320001+i321−i3200001+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000-1-1-1-11+i321−i321+i321−i3211111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ3733−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-30-33−3−3i32−3+3i323+3i323−3i320003+3i323−3i320000−3−3i32−3+3i320000000000000000000000000000000000001-11-1−1−i32−1+i321+i321−i3211-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ3833−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-30-33−3−3i32−3+3i323+3i323−3i320003+3i323−3i320000−3−3i32−3+3i32000000000000000000000000000000000000-11-111+i321−i32−1−i32−1+i32-1-1111+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3933−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1101-11+i321−i32−1−i32−1+i32000−1−i32−1+i3200001+i321−i322−1−i3−1+i3-21+i31−i32−1−i3−1+i3-21+i31−i30000000000000000000000001-11-1−1−i32−1+i321+i321−i32-1-111−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ4033−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1101-11+i321−i32−1−i32−1+i32000−1−i32−1+i3200001+i321−i322−1−i3−1+i3-21+i31−i32−1−i3−1+i3-21+i31−i3000000000000000000000000-11-111+i321−i32−1−i32−1+i3211-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ4133−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323-3−3−3i32−3+3i323+3i323−3i32110-1-1−1−i32−1+i32−1−i32−1+i320001+i321−i3200001+i321−i32-21+i31−i3-21+i31−i32−1−i3−1+i32−1−i3−1+i30000000000000000000000001-1-11−1−i32−1+i321+i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ4233−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323-3−3−3i32−3+3i323+3i323−3i32110-1-1−1−i32−1+i32−1−i32−1+i320001+i321−i3200001+i321−i32-21+i31−i3-21+i31−i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000-111-11+i321−i32−1−i32−1+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ4333−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-3-30333+3i323−3i323+3i323−3i32000−3−3i32−3+3i320000−3−3i32−3+3i320000000000000000000000000000000000001-1-11−1−i32−1+i321+i321−i321-11-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ4433−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-3-30333+3i323−3i323+3i323−3i32000−3−3i32−3+3i320000−3−3i32−3+3i32000000000000000000000000000000000000-111-11+i321−i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ4533−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-333+3i323−3i32−3−3i32−3+3i321-101-1−1−i32−1+i321+i321−i32000−1−i32−1+i3200001+i321−i32-21+i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i300000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i32-111-11+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ4633−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-333+3i323−3i32−3−3i32−3+3i321-101-1−1−i32−1+i321+i321−i32000−1−i32−1+i3200001+i321−i32-21+i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3000000000000000000000000-1-1111+i321−i321+i321−i321-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ4733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-330-333+3i323−3i32−3−3i32−3+3i320003+3i323−3i320000−3−3i32−3+3i3200000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321-1-111+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ4833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-330-333+3i323−3i32−3−3i32−3+3i320003+3i323−3i320000−3−3i32−3+3i32000000000000000000000000000000000000-1-1111+i321−i321+i321−i32-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ4933−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233033−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i320000−3+3i32−3−3i320000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ5033−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233033−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i320000−3+3i32−3−3i32000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ5133−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-10-1-11−i321+i321−i321+i320001−i321+i3200001−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000000000000000001111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ5233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-10-1-11−i321+i321−i321+i320001−i321+i3200001−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000-1-1-1-11−i321+i321−i321+i3211111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ5333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-30-33−3+3i32−3−3i323−3i323+3i320003−3i323+3i320000−3+3i32−3−3i320000000000000000000000000000000000001-11-1−1+i32−1−i321−i321+i3211-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ5433−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-30-33−3+3i32−3−3i323−3i323+3i320003−3i323+3i320000−3+3i32−3−3i32000000000000000000000000000000000000-11-111−i321+i32−1+i32−1−i32-1-1111−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ5533−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1101-11−i321+i32−1+i32−1−i32000−1+i32−1−i3200001−i321+i322−1+i3−1−i3-21−i31+i32−1+i3−1−i3-21−i31+i30000000000000000000000001-11-1−1+i32−1−i321−i321+i32-1-111−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ5633−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1101-11−i321+i32−1+i32−1−i32000−1+i32−1−i3200001−i321+i322−1+i3−1−i3-21−i31+i32−1+i3−1−i3-21−i31+i3000000000000000000000000-11-111−i321+i32−1+i32−1−i3211-1-11−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ5733−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323-3−3+3i32−3−3i323−3i323+3i32110-1-1−1+i32−1−i32−1+i32−1−i320001−i321+i3200001−i321+i32-21−i31+i3-21−i31+i32−1+i3−1−i32−1+i3−1−i30000000000000000000000001-1-11−1+i32−1−i321−i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ5833−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323-3−3+3i32−3−3i323−3i323+3i32110-1-1−1+i32−1−i32−1+i32−1−i320001−i321+i3200001−i321+i32-21−i31+i3-21−i31+i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000-111-11−i321+i32−1+i32−1−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ5933−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-3-30333−3i323+3i323−3i323+3i32000−3+3i32−3−3i320000−3+3i32−3−3i320000000000000000000000000000000000001-1-11−1+i32−1−i321−i321+i321-11-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ6033−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-3-30333−3i323+3i323−3i323+3i32000−3+3i32−3−3i320000−3+3i32−3−3i32000000000000000000000000000000000000-111-11−i321+i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ6133−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-333−3i323+3i32−3+3i32−3−3i321-101-1−1+i32−1−i321−i321+i32000−1+i32−1−i3200001−i321+i32-21−i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i300000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i32-111-11−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ6233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-333−3i323+3i32−3+3i32−3−3i321-101-1−1+i32−1−i321−i321+i32000−1+i32−1−i3200001−i321+i32-21−i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3000000000000000000000000-1-1111−i321+i321−i321+i321-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ6333−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-330-333−3i323+3i32−3+3i32−3−3i320003−3i323+3i320000−3+3i32−3−3i3200000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321-1-111−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ6433−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-330-333−3i323+3i32−3+3i32−3−3i320003−3i323+3i320000−3+3i32−3−3i32000000000000000000000000000000000000-1-1111−i321+i321−i321+i32-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ654-4444i−4i-4-44i−4i4i−4i00000000400000000-4004i−4i0000000000000000111−i3i3−i3i3−i3i3-1-1-1i−ii−ii−i3−33−33−3000000000000000000000000
χ664-4444i−4i-4-44i−4i4i−4i00000000400000000-4004i−4i0000000000000000111i3−i3i3−i3i3−i3-1-1-1i−ii−ii−i−33−33−33000000000000000000000000
χ674-4444i−4i-4-44i−4i4i−4i00000000400000000-4004i−4i0000000000000000-2-2-2000000222−2i2i−2i2i−2i2i000000000000000000000000000000
χ684-4444i−4i-4-44i−4i4i−4i00000000-2000000−2i32i3200−2i2i23−230000000000000011-2−i3i3i3−i300-1-12i−ii−i−2i2i3−3−3300000000000000000000000000
χ694-4444i−4i-4-44i−4i4i−4i00000000-2000000−2i32i3200−2i2i23−23000000000000001-21i3−i300−i3i3-12-1i−i−2i2ii−i−33003−3000000000000000000000000
χ704-4444i−4i-4-44i−4i4i−4i00000000-2000000−2i32i3200−2i2i23−2300000000000000-21100−i3i3i3−i32-1-1−2i2ii−ii−i003−3−33000000000000000000000000
χ714-4444i−4i-4-44i−4i4i−4i00000000-20000002i3−2i3200−2i2i−23230000000000000011-2i3−i3−i3i300-1-12i−ii−i−2i2i−333−300000000000000000000000000
χ724-4444i−4i-4-44i−4i4i−4i00000000-20000002i3−2i3200−2i2i−2323000000000000001-21−i3i300i3−i3-12-1i−i−2i2ii−i3−300−33000000000000000000000000
χ734-4444i−4i-4-44i−4i4i−4i00000000-20000002i3−2i3200−2i2i−232300000000000000-21100i3−i3−i3i32-1-1−2i2ii−ii−i00−333−3000000000000000000000000
χ744-444−4i4i-4-4−4i4i−4i4i00000000400000000-400−4i4i0000000000000000111−i3i3−i3i3−i3i3-1-1-1−ii−ii−ii−33−33−33000000000000000000000000
χ754-444−4i4i-4-4−4i4i−4i4i00000000400000000-400−4i4i0000000000000000111i3−i3i3−i3i3−i3-1-1-1−ii−ii−ii3−33−33−3000000000000000000000000
χ764-444−4i4i-4-4−4i4i−4i4i00000000400000000-400−4i4i0000000000000000-2-2-20000002222i−2i2i−2i2i−2i000000000000000000000000000000
χ774-444−4i4i-4-4−4i4i−4i4i00000000-2000000−2i32i32002i−2i−23230000000000000011-2−i3i3i3−i300-1-12−ii−ii2i−2i−333−300000000000000000000000000
χ784-444−4i4i-4-4−4i4i−4i4i00000000-2000000−2i32i32002i−2i−2323000000000000001-21i3−i300−i3i3-12-1−ii2i−2i−ii3−300−33000000000000000000000000
χ794-444−4i4i-4-4−4i4i−4i4i00000000-2000000−2i32i32002i−2i−232300000000000000-21100−i3i3i3−i32-1-12i−2i−ii−ii00−333−3000000000000000000000000
χ804-444−4i4i-4-4−4i4i−4i4i00000000-20000002i3−2i32002i−2i23−230000000000000011-2i3−i3−i3i300-1-12−ii−ii2i−2i3−3−3300000000000000000000000000
χ814-444−4i4i-4-4−4i4i−4i4i00000000-20000002i3−2i32002i−2i23−23000000000000001-21−i3i300i3−i3-12-1−ii2i−2i−ii−33003−3000000000000000000000000
χ824-444−4i4i-4-4−4i4i−4i4i00000000-20000002i3−2i32002i−2i23−2300000000000000-21100i3−i3−i3i32-1-12i−2i−ii−ii003−3−33000000000000000000000000
χ83666666666666666666-2-2-3-2-2-2-2-2-2-3-3-3-2-2-3-3-3-3-2-2111111111111000000000000000000000000000000000000000000000000
χ84666666666666-6-6-6-6-6-6-22-32-2-2-22233-322-3-333-2-2111-1-1-1111-1-1-1000000000000000000000000000000000000000000000000
χ856666-6-666-6-6-6-66-666-6-622-3-2-22222-3-3-3-2-23333-2-2-1-1-1-1-1-1111111000000000000000000000000000000000000000000000000
χ866666-6-666-6-6-6-6-66-6-6662-2-32-222-2-233-32233-3-3-2-2-1-1-1111111-1-1-1000000000000000000000000000000000000000000000000
χ8766−3−3i3−3+3i366−3−3i3−3+3i3−3−3i3−3−3i3−3+3i3−3+3i366−3−3i3−3+3i3−3−3i3−3+3i3-2-20-2-21+i31−i31+i31−i30001+i31−i300001+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000000000000000000000
χ8866−3−3i3−3+3i366−3−3i3−3+3i3−3−3i3−3−3i3−3+3i3−3+3i3-6-63+3i33−3i33+3i33−3i3-2202-21+i31−i3−1−i3−1+i3000−1−i3−1+i300001+i31−i3-21+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i3000000000000000000000000000000000000000000000000
χ8966−3−3i3−3+3i3-6-6−3−3i3−3+3i33+3i33+3i33−3i33−3i36-6−3−3i3−3+3i33+3i33−3i3220-2-2−1−i3−1+i3−1−i3−1+i30001+i31−i300001+i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3000000000000000000000000000000000000000000000000
χ9066−3−3i3−3+3i3-6-6−3−3i3−3+3i33+3i33+3i33−3i33−3i3-663+3i33−3i3−3−3i3−3+3i32-202-2−1−i3−1+i31+i31−i3000−1−i3−1+i300001+i31−i32−1−i3−1+i3-21+i31−i3-21+i31−i32−1−i3−1+i3000000000000000000000000000000000000000000000000
χ9166−3+3i3−3−3i366−3+3i3−3−3i3−3+3i3−3+3i3−3−3i3−3−3i366−3+3i3−3−3i3−3+3i3−3−3i3-2-20-2-21−i31+i31−i31+i30001−i31+i300001−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000000000000000000000
χ9266−3+3i3−3−3i366−3+3i3−3−3i3−3+3i3−3+3i3−3−3i3−3−3i3-6-63−3i33+3i33−3i33+3i3-2202-21−i31+i3−1+i3−1−i3000−1+i3−1−i300001−i31+i3-21−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i3000000000000000000000000000000000000000000000000
χ9366−3+3i3−3−3i3-6-6−3+3i3−3−3i33−3i33−3i33+3i33+3i36-6−3+3i3−3−3i33−3i33+3i3220-2-2−1+i3−1−i3−1+i3−1−i30001−i31+i300001−i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3000000000000000000000000000000000000000000000000
χ9466−3+3i3−3−3i3-6-6−3+3i3−3−3i33−3i33−3i33+3i33+3i3-663−3i33+3i3−3+3i3−3−3i32-202-2−1+i3−1−i31−i31+i3000−1+i3−1−i300001−i31+i32−1+i3−1−i3-21−i31+i3-21−i31+i32−1+i3−1−i3000000000000000000000000000000000000000000000000
χ9512-12−6−6i3−6+6i312i−12i6+6i36−6i312ζ11−12ζ1112ζ7−12ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-12−6−6i3−6+6i3−12i12i6+6i36−6i3−12ζ1112ζ11−12ζ712ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12−6+6i3−6−6i312i−12i6−6i36+6i312ζ7−12ζ712ζ11−12ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12−6+6i3−6−6i3−12i12i6−6i36+6i3−12ζ712ζ7−12ζ1112ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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