Finite Group Databasebeta

← Group #13145729

Character table — Group #13145729

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636727272727272
order122222333446666666666666121212123333346666666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444488881212121212121212242424242424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1111-1-11111-1-11111-1-11-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-1
χ61111-1-1111-1-11111-1-11111-1-11-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-1-111
χ71111-1-1111-1-11111-1-11111-1-11-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111
χ81111-1-1111-1-11111-1-11111-1-11-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-111-1-1
χ9222222222-2-22222222222222-2-2-2-222222-2222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ1022222222-122222222-122-122-122222-1-1-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-1
χ1122222222-122222222-122-122-122222-1-1-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21111
χ1222222222-1-2-2222222-122-122-1-2-2-2-22-1-1-1-1-222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-211-2-2-2-21111111111111111-2-2-2-2111111111111111100000000000000000000000000−i3i3−i3i3
χ1322222222-1-2-2222222-122-122-1-2-2-2-22-1-1-1-1-222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-211-2-2-2-21111111111111111-2-2-2-2111111111111111100000000000000000000000000i3−i3i3−i3
χ142222222-122222-1-12222-12222-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ152222222-122222-1-12222-12222-1-1-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ162222222-12-2-222-1-12222-122221111-12-1-1-1-2-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111000000000000000033−3−333−3−3000000
χ172222222-12-2-222-1-12222-122221111-12-1-1-1-2-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-21111111111110000000000000000−3−333−3−333000000
χ18222222-12222-1-122-1-12-122-1-122222-1-12-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ19222222-12222-1-122-1-12-122-1-122222-1-12-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ20222222-122-2-2-1-122-1-12-122-1-12-2-2-2-2-1-12-1-1-22222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-2-2-211-2-211111111-2-2-2-21111111111111111-2-2-2-21111111100000000−i3−i3i3i3−i3−i3i3i300000000000000
χ21222222-122-2-2-1-122-1-12-122-1-12-2-2-2-2-1-12-1-1-22222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-2-2-211-2-211111111-2-2-2-21111111111111111-2-2-2-21111111100000000i3i3−i3−i3i3i3−i3−i300000000000000
χ222222-2-2222222222-2-22222-2-22222222222-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222000000000000000000000000000000
χ232222-2-222-1222222-2-2-122-1-2-2-122222-1-1-1-1-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-21122-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3i3−i3
χ242222-2-222-1222222-2-2-122-1-2-2-122222-1-1-1-1-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-21122-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3−i3i3
χ252222-2-222-1-2-22222-2-2-122-1-2-2-1-2-2-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-1-1-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000000000000000000002-2-1-111
χ262222-2-222-1-2-22222-2-2-122-1-2-2-1-2-2-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-1-1-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000000000000000000000-2211-1-1
χ272222-2-22-122222-1-1-2-222-12-2-22-1-1-1-1-12-1-1-1-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-2-222221111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i3000000
χ282222-2-22-122222-1-1-2-222-12-2-22-1-1-1-1-12-1-1-1-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-211-2-222221111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i3000000
χ292222-2-22-12-2-222-1-1-2-222-12-2-221111-12-1-1-1211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100002i2i−2i−2i00000000−i−i−i−iiiii000000
χ302222-2-22-12-2-222-1-1-2-222-12-2-221111-12-1-1-1211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000−2i−2i2i2i00000000iiii−i−i−i−i000000
χ312222-2-2-12222-1-122112-1221122222-1-12-1-1-2-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-2-2-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000033−3−3−3−33300000000000000
χ322222-2-2-12222-1-122112-1221122222-1-12-1-1-2-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-2-2-1-12211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−3−33333−3−300000000000000
χ332222-2-2-122-2-2-1-122112-122112-2-2-2-2-1-12-1-12-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-1222211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111112i2i−2i−2i0000−i−i−i−iiiii00000000000000
χ342222-2-2-122-2-2-1-122112-122112-2-2-2-2-1-12-1-12-2-2-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-1222211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111−2i−2i2i2i0000iiii−i−i−i−i00000000000000
χ3522-2-2002222i−2i2-22-2002-2-2-200-22i2i−2i−2i22222000002-22-22-222-2-200000000000000000000-2-2-2-2-20000002i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i1+i−1−i1−i−1+i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ3622-2-2002222i−2i2-22-2002-2-2-200-22i2i−2i−2i22222000002-22-22-222-2-200000000000000000000-2-2-2-2-20000002i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−1−i1+i−1+i1−i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ3722-2-200222−2i2i2-22-2002-2-2-200-2−2i−2i2i2i22222000002-22-22-222-2-200000000000000000000-2-2-2-2-2000000−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i1−i−1+i1+i−1−i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ3822-2-200222−2i2i2-22-2002-2-2-200-2−2i−2i2i2i22222000002-22-22-222-2-200000000000000000000-2-2-2-2-2000000−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−1+i1−i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ3922-2-200-1222i−2i-112-2−i3i321-2-2−i3i3-22i2i−2i−2i-1-12-1-100000-11-112-2-1-111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311-2113−30000−ii2i−2i33−3−333−3−300003333−3−3−3−3−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii1+i−1−i1−i−1+i0000−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000000000
χ4022-2-200-1222i−2i-112-2−i3i321-2-2−i3i3-22i2i−2i−2i-1-12-1-100000-11-112-2-1-111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311-2113−30000−ii2i−2i33−3−333−3−300003333−3−3−3−3−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−1−i1+i−1+i1−i0000ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000000000
χ4122-2-200-1222i−2i-112-2i3−i321-2-2i3−i3-22i2i−2i−2i-1-12-1-100000-11-112-2-1-111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311-211−330000−ii2i−2i−3−333−3−3330000−3−3−3−33333−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii1+i−1−i1−i−1+i0000−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000000000
χ4222-2-200-1222i−2i-112-2i3−i321-2-2i3−i3-22i2i−2i−2i-1-12-1-100000-11-112-2-1-111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311-211−330000−ii2i−2i−3−333−3−3330000−3−3−3−33333−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−1−i1+i−1+i1−i0000ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000000000
χ4322-2-200-122−2i2i-112-2−i3i321-2-2−i3i3-2−2i−2i2i2i-1-12-1-100000-11-112-2-1-111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311-211−330000i−i−2i2i−3−333−3−3330000−3−3−3−33333ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i1−i−1+i1+i−1−i0000−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ4422-2-200-122−2i2i-112-2−i3i321-2-2−i3i3-2−2i−2i2i2i-1-12-1-100000-11-112-2-1-111−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311-211−330000i−i−2i2i−3−333−3−3330000−3−3−3−33333ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i−1+i1−i−1−i1+i0000ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ4522-2-200-122−2i2i-112-2i3−i321-2-2i3−i3-2−2i−2i2i2i-1-12-1-100000-11-112-2-1-111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311-2113−30000i−i−2i2i33−3−333−3−300003333−3−3−3−3ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i1−i−1+i1+i−1−i0000−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ4622-2-200-122−2i2i-112-2i3−i321-2-2i3−i3-2−2i−2i2i2i-1-12-1-100000-11-112-2-1-111i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311-2113−30000i−i−2i2i33−3−333−3−300003333−3−3−3−3ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i−1+i1−i−1−i1+i0000ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
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χ1314-4-444-44-2-200-442-2442-422-4-4-223−2323−23-2-21110-22-222-22-2-11-1-111-22-22-22-2211-1-111-1-111-1-122-1-1-10023−2300000023−2323−230000−3−333−3−333−3−33323−2323−230000−33−33−3−333−3−333000000000000000000000000000000
χ1324-4-444-44-2-200-442-2442-422-4-4-2−2323−2323-2-21110-22-222-22-2-11-1-111-22-22-22-2211-1-111-1-111-1-122-1-1-100−2323000000−2323−2323000033−3−333−3−333−3−3−2323−232300003−33−333−3−333−3−3000000000000000000000000000000
χ1334-4-444-4-244002-2-44-2-2-42-4-42240000-2-24-2-204-44-42-22-2-4422-2-2-22-22-22-2244-4-4-2-222-2-22222-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-4-24-2002-2-44-2-222-4222-20000-21-21104-4-222-2-112-2-1-111-22-221-11-1-2-22211-1-111-1-12-12-1-1000000000000003i−3i−3i3i00003i−3i−3i3i3i−3i−3i3i0000−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ1354-4-444-4-24-2002-2-44-2-222-4222-20000-21-21104-4-222-2-112-2-1-111-22-221-11-1-2-22211-1-111-1-12-12-1-100000000000000−3i3i3i−3i0000−3i3i3i−3i−3i3i3i−3i00003i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ1364-4-444-4-2-24002-22-2-2-2-422-422423−2323−231-2-2110-224-4-112-22-2-1-1111-11-1-22-22-2-22211-1-111-1-1-122-1-10023−23000000−33−3300002323−23−23−3−333−3−333−33−33000023−2323−23−3−333−3−333000000000000000000000000000000
χ1374-4-444-4-2-24002-22-2-2-2-422-4224−2323−23231-2-2110-224-4-112-22-2-1-1111-11-1-22-22-2-22211-1-111-1-1-122-1-100−23230000003−33−30000−23−23232333−3−333−3−33−33−30000−2323−232333−3−333−3−3000000000000000000000000000000
χ1384-4-444-4-2-2-2002-22-2-2-2222222-223−2323−23111−1−3i32−1+3i320-22-22-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-11-111-1-1−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i321+3i321−3i32-1-1-11+3i321−3i320023−23000000−33−333i−3i−3i3i−3−333ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−33−33−3i3i3i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000000
χ1394-4-444-4-2-2-2002-22-2-2-2222222-223−2323−23111−1+3i32−1−3i320-22-22-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-11-111-1-1−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i320023−23000000−33−33−3i3i3i−3i−3−333−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−33−333i−3i−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000000
χ1404-4-444-4-2-2-2002-22-2-2-2222222-2−2323−2323111−1−3i32−1+3i320-22-22-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-11-111-1-1−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i321+3i321−3i32-1-1-11+3i321−3i3200−23230000003−33−3−3i3i3i−3i33−3−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223−33−33i−3i−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000000
χ1414-4-444-4-2-2-2002-22-2-2-2222222-2−2323−2323111−1+3i32−1−3i320-22-22-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-11-111-1-1−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i321−3i321+3i32-1-1-11−3i321+3i3200−23230000003−33−33i−3i−3i3i33−3−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ223−33−3−3i3i3i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000000
χ1424-4-44-4444-200-44-44-4-42-4-4244-200004-2-2-2-20-442-2-442-22-222-2-2-44-442-22-222-2-222-2-222-2-2-4222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-444-2-200-442-2-4-42-42244-223−2323−23-2-211102-22-22-22-2-11-1-1112-22-22-22-2-1-111-1-111-1-11122-1-1-100−2323000000−2323−2323000033−3−333−3−333−3−323−2323−230000−33−33−3−333−3−333000000000000000000000000000000
χ1444-4-44-444-2-200-442-2-4-42-42244-2−2323−2323-2-211102-22-22-22-2-11-1-1112-22-22-22-2-1-111-1-111-1-11122-1-1-10023−2300000023−2323−230000−3−333−3−333−3−333−2323−232300003−33−333−3−333−3−3000000000000000000000000000000
χ1454-4-44-44-244002-2-4422-42-4-4-2-240000-2-24-2-20-44-442-22-2-4422-2-22-22-22-22-2-4-44422-2-222-2-222-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-44-24-2002-2-442222-42-2-2-20000-21-2110-442-22-2-112-2-1-1112-22-2-11-1122-2-2-1-111-1-1112-12-1-1000000000000003i−3i−3i3i00003i−3i−3i3i3i−3i−3i3i00003i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ1474-4-44-44-24-2002-2-442222-42-2-2-20000-21-2110-442-22-2-112-2-1-1112-22-2-11-1122-2-2-1-111-1-1112-12-1-100000000000000−3i3i3i−3i0000−3i3i3i−3i−3i3i3i−3i0000−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ1484-4-44-44-2-24002-22-222-422-4-2-2423−2323−231-2-21102-2-44-112-22-2-1-111-11-112-22-222-2-2-1-111-1-111-122-1-100−23230000003−33−30000−23−23232333−3−333−3−3−33−33000023−2323−23−3−333−3−333000000000000000000000000000000
χ1494-4-44-44-2-24002-22-222-422-4-2-24−2323−23231-2-21102-2-44-112-22-2-1-111-11-112-22-222-2-2-1-111-1-111-122-1-10023−23000000−33−3300002323−23−23−3−333−3−3333−33−30000−2323−232333−3−333−3−3000000000000000000000000000000
χ1504-4-44-44-2-2-2002-22-2222222-2-2-223−2323−23111−1−3i32−1+3i3202-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-11-11-1-1111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i3200−23230000003−33−3−3i3i3i−3i33−3−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−33−33−3i3i3i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000000
χ1514-4-44-44-2-2-2002-22-2222222-2-2-223−2323−23111−1+3i32−1−3i3202-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-11-11-1-1111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i3200−23230000003−33−33i−3i−3i3i33−3−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−33−333i−3i−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000000
χ1524-4-44-44-2-2-2002-22-2222222-2-2-2−2323−2323111−1−3i32−1+3i3202-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-11-11-1-1111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i320023−23000000−33−333i−3i−3i3i−3−333ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ223−33−33i−3i−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000000
χ1534-4-44-44-2-2-2002-22-2222222-2-2-2−2323−2323111−1+3i32−1−3i3202-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-11-11-1-1111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i320023−23000000−33−33−3i3i3i−3i−3−333−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223−33−3−3i3i3i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.