Finite Group Databasebeta

← Group #10592148

Character table — Group #10592148

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444446666666688888824241111222222222244444466666666888888242411112222222222444444666666668888882424
order12222234444666661212121288888888441212121244366666312121212666661212121224242424242424241212121212121212366666312121212666661212121224242424242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1
χ61111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11
χ71111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-11
χ81111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-20000000000000000
χ10222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ11222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100
χ12222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300
χ13222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300
χ142222-2-22-222-2222-2-2-2-22200000000000000002222-2-22-222-2222-2-2-2-22200000000000000002222-2-22-222-2222-2-2-2-2220000000000000000
χ152222-2-2-12-2-22-1-1-111-1-111000000002-2-1-111002222-2-2-12-2-22-1-1-111-1-111000000002-2-1-111002222-2-2-12-2-22-1-1-111-1-111000000002-2-1-11100
χ162222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-1002222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-1002222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-100
χ172222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i3002222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i3002222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i300
χ182222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i3002222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i3002222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i300
χ1922-2-22-2200002-2-22-2000022−2−222−2−20000000022-2-22-2200002-2-22-2000022−2−222−2−20000000022-2-22-2200002-2-22-2000022−2−222−2−200000000
χ2022-2-22-2200002-2-22-20000−2−222−2−2220000000022-2-22-2200002-2-22-20000−2−222−2−2220000000022-2-22-2200002-2-22-20000−2−222−2−22200000000
χ2122-2-2-22200002-2-2-22000022−2−2−2−2220000000022-2-2-22200002-2-2-22000022−2−2−2−2220000000022-2-2-22200002-2-2-22000022−2−2−2−22200000000
χ2222-2-2-22200002-2-2-220000−2−22222−2−20000000022-2-2-22200002-2-2-220000−2−22222−2−20000000022-2-2-22200002-2-2-220000−2−22222−2−200000000
χ232-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i2000000002-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i2000000002-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i200000000
χ242-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i2000000002-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i2000000002-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i200000000
χ252-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i2000000002-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i2000000002-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i200000000
χ262-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i2000000002-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i2000000002-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i200000000
χ272-2-22002200-2-2-22002-20000002i−2i−2i2i000000002-2-22002200-2-2-22002-20000002i−2i−2i2i000000002-2-22002200-2-2-22002-20000002i−2i−2i2i00000000
χ282-2-22002200-2-2-22002-2000000−2i2i2i−2i000000002-2-22002200-2-2-22002-2000000−2i2i2i−2i000000002-2-22002200-2-2-22002-2000000−2i2i2i−2i00000000
χ292-2-22002-2002-2-2200-22002-2-220000000000002-2-22002-2002-2-2200-22002-2-220000000000002-2-22002-2002-2-2200-22002-2-22000000000000
χ302-2-22002-2002-2-2200-2200-222-20000000000002-2-22002-2002-2-2200-2200-222-20000000000002-2-22002-2002-2-2200-2200-222-2000000000000
χ3144-4-44-4-20000-222-220000000000000000000044-4-44-4-20000-222-220000000000000000000044-4-44-4-20000-222-2200000000000000000000
χ3244-4-4-44-20000-2222-20000000000000000000044-4-4-44-20000-2222-20000000000000000000044-4-4-44-20000-2222-200000000000000000000
χ334-44-400-204i−4i02-220000−2i2i00000000000000004-44-400-204i−4i02-220000−2i2i00000000000000004-44-400-204i−4i02-220000−2i2i0000000000000000
χ344-44-400-20−4i4i02-2200002i−2i00000000000000004-44-400-20−4i4i02-2200002i−2i00000000000000004-44-400-20−4i4i02-2200002i−2i0000000000000000
χ354-4-4400-2400-422-200-220000000000000000004-4-4400-2400-422-200-220000000000000000004-4-4400-2400-422-200-22000000000000000000
χ364-4-4400-2-400422-2002-20000000000000000004-4-4400-2-400422-2002-20000000000000000004-4-4400-2-400422-2002-2000000000000000000
χ37111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-1−1+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−i321−i321−i321−i321−i321−i321−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−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1+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−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ411111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ421111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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
χ431111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ441111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ452222222-2-2-2-222222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
χ46222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i3−1−i31+i321+i321+i321+i3200
χ47222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ48222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000003+i32−3−i323+i32−3−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−3+i323−i32−3+i323−i3200
χ49222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−3−i323+i32−3−i323+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000003−i32−3+i323−i32−3+i3200
χ502222-2-22-222-2222-2-2-2-2220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000000000000000
χ512222-2-2-12-2-22-1-1-111-1-111000000002-2-1-11100−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1+i31−i31−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1−i31+i31+i321+i32−1−i32−1−i3200
χ522222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-100−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000001−i3−1+i3−1+i32−1+i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000001+i3−1−i3−1−i32−1−i321+i321+i3200
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χ84222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−3+i323−i32−3+i323−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000003+i32−3−i323+i32−3−i3200
χ85222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000003−i32−3+i323−i32−3+i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−3−i323+i32−3−i323+i3200
χ862222-2-22-222-2222-2-2-2-2220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000000000000000
χ872222-2-2-12-2-22-1-1-111-1-111000000002-2-1-11100−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1+i31−i31−i321−i32−1+i32−1+i3200
χ882222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-100−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000001+i3−1−i3−1−i32−1−i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000001−i3−1+i3−1+i32−1+i321−i321−i3200
χ892222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−3+i323−i323−i32−3+i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000003+i32−3−i32−3−i323+i3200
χ902222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000003−i32−3+i32−3+i323−i3200−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000−3−i323+i323+i32−3−i3200
χ9122-2-22-2200002-2-22-2000022−2−222−2−200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i31+i3−1−i31+i30000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i31−i3−1+i31−i30000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ9222-2-22-2200002-2-22-20000−2−222−2−22200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i31+i3−1−i31+i30000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i31−i3−1+i31−i30000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ9322-2-2-22200002-2-2-22000022−2−2−2−22200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i30000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i30000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ9422-2-2-22200002-2-2-220000−2−22222−2−200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i30000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i30000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ952-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i200000000−1−i31+i3−1−i31+i300−1−i302ζ22−2ζ2201+i3−1−i31+i300002ζ22−2ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−1+i31−i300−1+i302ζ14−2ζ1401−i3−1+i31−i300002ζ14−2ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ962-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i200000000−1−i31+i3−1−i31+i300−1−i302ζ22−2ζ2201+i3−1−i31+i300002ζ22−2ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−1+i31−i300−1+i302ζ14−2ζ1401−i3−1+i31−i300002ζ14−2ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ972-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i200000000−1−i31+i3−1−i31+i300−1−i30−2ζ222ζ2201+i3−1−i31+i30000−2ζ222ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−1+i31−i300−1+i30−2ζ142ζ1401−i3−1+i31−i30000−2ζ142ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ982-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i200000000−1−i31+i3−1−i31+i300−1−i30−2ζ222ζ2201+i3−1−i31+i30000−2ζ222ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−1+i31−i300−1+i30−2ζ142ζ1401−i3−1+i31−i30000−2ζ142ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ992-2-22002200-2-2-22002-20000002i−2i−2i2i00000000−1−i31+i31+i3−1−i300−1−i3−1−i3001+i31+i31+i3−1−i300−1−i31+i30000002ζ22−2ζ22−2ζ222ζ2200000000−1+i31−i31−i3−1+i300−1+i3−1+i3001−i31−i31−i3−1+i300−1+i31−i30000002ζ14−2ζ14−2ζ142ζ1400000000
χ1002-2-22002200-2-2-22002-2000000−2i2i2i−2i00000000−1−i31+i31+i3−1−i300−1−i3−1−i3001+i31+i31+i3−1−i300−1−i31+i3000000−2ζ222ζ222ζ22−2ζ2200000000−1+i31−i31−i3−1+i300−1+i3−1+i3001−i31−i31−i3−1+i300−1+i31−i3000000−2ζ142ζ142ζ14−2ζ1400000000
χ1012-2-22002-2002-2-2200-22002-2-22000000000000−1−i31+i31+i3−1−i300−1−i31+i300−1−i31+i31+i3−1−i3001+i3−1−i300−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i3−1+i300−1+i31−i300−1+i31−i31−i3−1+i3001−i3−1+i300−1+i31−i31−i3−1+i3000000000000
χ1022-2-22002-2002-2-2200-2200-222-2000000000000−1−i31+i31+i3−1−i300−1−i31+i300−1−i31+i31+i3−1−i3001+i3−1−i3001+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i3−1+i300−1+i31−i300−1+i31−i31−i3−1+i3001−i3−1+i3001−i3−1+i3−1+i31−i3000000000000
χ10344-4-44-4-20000-222-2200000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i300001+i3−1−i3−1−i31+i3−1−i300000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i300001−i3−1+i3−1+i31−i3−1+i300000000000000000000
χ10444-4-4-44-20000-2222-200000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i300001+i3−1−i3−1−i3−1−i31+i300000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i300001−i3−1+i3−1+i3−1+i31−i300000000000000000000
χ1054-44-400-204i−4i02-220000−2i2i0000000000000000−2−2i32+2i3−2−2i32+2i3001+i304ζ22−4ζ220−1−i31+i3−1−i30000−2ζ222ζ220000000000000000−2+2i32−2i3−2+2i32−2i3001−i304ζ14−4ζ140−1+i31−i3−1+i30000−2ζ142ζ140000000000000000
χ1064-44-400-20−4i4i02-2200002i−2i0000000000000000−2−2i32+2i3−2−2i32+2i3001+i30−4ζ224ζ220−1−i31+i3−1−i300002ζ22−2ζ220000000000000000−2+2i32−2i3−2+2i32−2i3001−i30−4ζ144ζ140−1+i31−i3−1+i300002ζ14−2ζ140000000000000000
χ1074-4-4400-2400-422-200-22000000000000000000−2−2i32+2i32+2i3−2−2i3001+i3−2−2i3002+2i3−1−i3−1−i31+i3001+i3−1−i3000000000000000000−2+2i32−2i32−2i3−2+2i3001−i3−2+2i3002−2i3−1+i3−1+i31−i3001−i3−1+i3000000000000000000
χ1084-4-4400-2-400422-2002-2000000000000000000−2−2i32+2i32+2i3−2−2i3001+i32+2i300−2−2i3−1−i3−1−i31+i300−1−i31+i3000000000000000000−2+2i32−2i32−2i3−2+2i3001−i32−2i300−2+2i3−1+i3−1+i31−i300−1+i31−i3000000000000000000

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