Finite Group Databasebeta

← Group #10591874

Character table — Group #10591874

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224
order122234466644881212242424242226612124448843666312126661212242412122424242466666121212121224241236663121266612122424121224242424666661212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-1-1-111111-1-1-1111111111111-1-111-1-1-1-111-1-1-111111-1-1-1111111111111-1-111-1-1-1-111-1-1-111111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11
χ71111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1
χ922222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-200000
χ1022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-200000200000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-211-1-10000002222-122-1-1-122-2-2-1-1111100-211-1-10000002222-122-1-1-122-2-2-1-1111100-211-1-1000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-11111002-1-1110000002222-122-1-1-1-2-2-2-2-1-11111002-1-1110000002222-122-1-1-1-2-2-2-2-1-11111002-1-111000000
χ1522-2-222-2-22-20000-220000000000002i−2i00022-2-222-2-22-20000-220000000000002i−2i00022-2-222-2-22-20000-220000000000002i−2i000
χ1622-2-222-2-22-20000-22000000000000−2i2i00022-2-222-2-22-20000-22000000000000−2i2i00022-2-222-2-22-20000-22000000000000−2i2i000
χ1722-2-22-22-22-22i−2i002-20000000002i−2i00000022-2-22-22-22-22i−2i002-20000000002i−2i00000022-2-22-22-22-22i−2i002-20000000002i−2i000000
χ1822-2-22-22-22-2−2i2i002-2000000000−2i2i00000022-2-22-22-22-2−2i2i002-2000000000−2i2i00000022-2-22-22-22-2−2i2i002-2000000000−2i2i000000
χ1922-2-2-1-221-112i−2i00-1133−3−3000−i3i3−ii00000022-2-2-1-221-112i−2i00-1133−3−3000−i3i3−ii00000022-2-2-1-221-112i−2i00-1133−3−3000−i3i3−ii000000
χ2022-2-2-1-221-112i−2i00-11−3−333000i3−i3−ii00000022-2-2-1-221-112i−2i00-11−3−333000i3−i3−ii00000022-2-2-1-221-112i−2i00-11−3−333000i3−i3−ii000000
χ2122-2-2-1-221-11−2i2i00-1133−3−3000i3−i3i−i00000022-2-2-1-221-11−2i2i00-1133−3−3000i3−i3i−i00000022-2-2-1-221-11−2i2i00-1133−3−3000i3−i3i−i000000
χ2222-2-2-1-221-11−2i2i00-11−3−333000−i3i3i−i00000022-2-2-1-221-11−2i2i00-11−3−333000−i3i3i−i00000022-2-2-1-221-11−2i2i00-11−3−333000−i3i3i−i000000
χ232-22-22002-2-200−i2i200−i2i2−i2i22-200000000−i2i202-22-22002-2-200−i2i200−i2i2−i2i22-200000000−i2i202-22-22002-2-200−i2i200−i2i2−i2i22-200000000−i2i20
χ242-22-22002-2-200−i2i200−i2i2−i2i2-2200000000i2−i202-22-22002-2-200−i2i200−i2i2−i2i2-2200000000i2−i202-22-22002-2-200−i2i200−i2i2−i2i2-2200000000i2−i20
χ252-22-22002-2-200i2−i200i2−i2i2−i22-200000000i2−i202-22-22002-2-200i2−i200i2−i2i2−i22-200000000i2−i202-22-22002-2-200i2−i200i2−i2i2−i22-200000000i2−i20
χ262-22-22002-2-200i2−i200i2−i2i2−i2-2200000000−i2i202-22-22002-2-200i2−i200i2−i2i2−i2-2200000000−i2i202-22-22002-2-200i2−i200i2−i2i2−i2-2200000000−i2i20
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-24-42-2200002-20000000000000000044-4-4-24-42-2200002-20000000000000000044-4-4-24-42-2200002-200000000000000000
χ294-44-4-200-22200−2i22i200i2−i2i2−i200000000000004-44-4-200-22200−2i22i200i2−i2i2−i200000000000004-44-4-200-22200−2i22i200i2−i2i2−i20000000000000
χ304-44-4-200-222002i2−2i200−i2i2−i2i200000000000004-44-4-200-222002i2−2i200−i2i2−i2i200000000000004-44-4-200-222002i2−2i200−i2i2−i2i20000000000000
χ314-4-44400-4-44000000000000000000000004-4-44400-4-44000000000000000000000004-4-44400-4-4400000000000000000000000
χ324-4-44-20022-2000000i6−i6−i6i600000000000004-4-44-20022-2000000i6−i6−i6i600000000000004-4-44-20022-2000000i6−i6−i6i60000000000000
χ334-4-44-20022-2000000−i6i6i6−i600000000000004-4-44-20022-2000000−i6i6i6−i600000000000004-4-44-20022-2000000−i6i6i6−i60000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511111111111111111111-1-111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ36111111111111-1-111-1-1-1-111-1-1-111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ37111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32
χ381111111111-1-11111111111-1-1-1-1-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ391111111111-1-111111111-1-1-1-1-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ401111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ411111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ4222222-2-22220000-2-200002200000-200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i30000−1+i3−1+i3000001−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i30000−1−i3−1−i3000001+i300000
χ4322222-2-22220000-2-20000-2-200000200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i300000−1+i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i300000−1−i300000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i31+i321+i321+i321+i32000000
χ452222-122-1-1-122-2-2-1-1111100-211-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i3−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i3−1−i32−1−i321+i321+i32000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i3−1−i32−1−i32−1−i32−1−i32000000
χ472222-122-1-1-1-2-2-2-2-1-11111002-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i31−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i31+i321+i32−1−i32−1−i32000000
χ4822-2-222-2-22-20000-220000000000002i−2i000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i300001−i3−1+i30000000000002ζ14−2ζ14000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i300001+i3−1−i30000000000002ζ22−2ζ22000
χ4922-2-222-2-22-20000-22000000000000−2i2i000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i300001−i3−1+i3000000000000−2ζ142ζ14000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i300001+i3−1−i3000000000000−2ζ222ζ22000
χ5022-2-22-22-22-22i−2i002-20000000002i−2i000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ14−2ζ1400−1+i31−i30000000002ζ14−2ζ14000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ22−2ζ2200−1−i31+i30000000002ζ22−2ζ22000000
χ5122-2-22-22-22-2−2i2i002-2000000000−2i2i000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ142ζ1400−1+i31−i3000000000−2ζ142ζ14000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ222ζ2200−1−i31+i3000000000−2ζ222ζ22000000
χ5222-2-2-1-221-112i−2i00-1133−3−3000−i3i3−ii000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i322ζ14−2ζ14001−i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220003+i32−3−i32−ζ14ζ14000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i322ζ22−2ζ22001+i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000−3+i323−i32−ζ22ζ22000000
χ5322-2-2-1-221-112i−2i00-11−3−333000i3−i3−ii000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i322ζ14−2ζ14001−i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000−3−i323+i32−ζ14ζ14000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i322ζ22−2ζ22001+i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220003−i32−3+i32−ζ22ζ22000000
χ5422-2-2-1-221-11−2i2i00-1133−3−3000i3−i3i−i000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i32−2ζ142ζ14001−i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000−3−i323+i32ζ14−ζ14000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i32−2ζ222ζ22001+i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220003−i32−3+i32ζ22−ζ22000000
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χ7622222-2-22220000-2-20000-2-200000200000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i300000−1−i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i300000−1+i300000
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χ8822-2-2-1-221-11−2i2i00-11−3−333000−i3i3i−i000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i32−2ζ222ζ22001+i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000−3+i323−i32ζ22−ζ22000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i32−2ζ142ζ14001−i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220003+i32−3−i32ζ14−ζ14000000
χ892-22-22002-2-200−i2i200−i2i2−i2i22-200000000−i2i20−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300ζ7+ζ13−ζ7−ζ1300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i31+i300000000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300ζ5+ζ23−ζ5−ζ2300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i31−i300000000ζ5+ζ23−ζ5−ζ230
χ902-22-22002-2-200−i2i200−i2i2−i2i2-2200000000i2−i20−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300ζ7+ζ13−ζ7−ζ1300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ131+i3−1−i300000000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300ζ5+ζ23−ζ5−ζ2300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ231−i3−1+i300000000−ζ5−ζ23ζ5+ζ230
χ912-22-22002-2-200i2−i200i2−i2i2−i22-200000000i2−i20−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300−ζ7−ζ13ζ7+ζ1300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i31+i300000000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300−ζ5−ζ23ζ5+ζ2300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i31−i300000000−ζ5−ζ23ζ5+ζ230
χ922-22-22002-2-200i2−i200i2−i2i2−i2-2200000000−i2i20−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i300−ζ7−ζ13ζ7+ζ1300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ131+i3−1−i300000000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i300−ζ5−ζ23ζ5+ζ2300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ231−i3−1+i300000000ζ5+ζ23−ζ5−ζ230
χ934444-2-4-4-2-2-200002200000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i30000−1−i3−1−i300000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i30000−1+i3−1+i300000000000000000
χ9444-4-4-24-42-2200002-200000000000000000−2−2i3−2−2i32+2i32+2i31+i3−2−2i32+2i3−1−i31+i3−1−i30000−1−i31+i300000000000000000−2+2i3−2+2i32−2i32−2i31−i3−2+2i32−2i3−1+i31−i3−1+i30000−1+i31−i300000000000000000
χ954-44-4-200-22200−2i22i200i2−i2i2−i20000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i3002ζ7+2ζ13−2ζ7−2ζ1300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i3002ζ5+2ζ23−2ζ5−2ζ2300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000000000
χ964-44-4-200-222002i2−2i200−i2i2−i2i20000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i300−2ζ7−2ζ132ζ7+2ζ1300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i300−2ζ5−2ζ232ζ5+2ζ2300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000000
χ974-4-44400-4-4400000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000000
χ984-4-44-20022-2000000i6−i6−i6i60000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i3000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ230000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i3000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ230000000000000
χ994-4-44-20022-2000000−i6i6i6−i60000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i30000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ230000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i3000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000000000000

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