Finite Group Databasebeta

← Group #13147762

Character table — Group #13147762

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order122234444446661212121212121212336666661212121212121212366612121212121212121212121212121212121212122444444444446612121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-11-1-11-11-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ81111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ911111-1-111-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-111-11111-1-111-1-1-1-111-1-111-1-111-1-1
χ1011111-1-111-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-11-1-1111-1-111-1-111-1-111-1-1-1-111-1-111
χ1111111-1-111-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-1-111-1-111-1-111-1-111-1-111-1-111
χ1211111-1-111-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-11-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ1311111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1511111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ1611111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1722222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222000020000-1-100000000-1-1-1-1-1-100000000
χ1822222222222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000-20000110000000011111100000000
χ192222222222222222222222-12-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022000220000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2000-2-2000000000000000011111111
χ212222222-2-2-2-22222222-2-2-2-22-12-1-1-122-2-2-2-21111-1-1-1-1-1-11122-2-2-1-1-1-11111111122-20000-20000-1-100000000-1-1111100000000
χ222222222-2-2-2-22222222-2-2-2-22-12-1-1-122-2-2-2-21111-1-1-1-1-1-11122-2-2-1-1-1-111111111-2-22000020000110000000011-1-1-1-100000000
χ232222222-2-2-2-22222222-2-2-2-2-12-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-111-1-1-1-111111111000002-20002-20000000000000000-1-1-1-11111
χ242222222-2-2-2-22222222-2-2-2-2-12-1222-1-11111-2-2-2-2-1-1-1-122-2-2-1-111-1-1-1-11111111100000-22000-2200000000000000001111-1-1-1-1
χ2522222-2-222-2-2222-2-2-2-222-2-22-12-1-1-12222221111-1-1-1-111-1-1-2-2-2-21111-1-1-1-111112-220000-20000-1-10000000011-1-11100000000
χ2622222-2-222-2-2222-2-2-2-222-2-22-12-1-1-12222221111-1-1-1-111-1-1-2-2-2-21111-1-1-1-11111-22-20000200001100000000-1-111-1-100000000
χ2722222-2-222-2-2222-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-11111000002-2000-22000000000000000011-1-111-1-1
χ2822222-2-222-2-2222-2-2-2-222-2-2-12-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-1111100000-220002-20000000000000000-1-111-1-111
χ2922222-2-2-2-222222-2-2-2-2-2-2222-12-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111-2-22211111111-1-1-1-12-2-2000020000-1-1000000001111-1-100000000
χ3022222-2-2-2-222222-2-2-2-2-2-2222-12-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111-2-22211111111-1-1-1-1-2220000-200001100000000-1-1-1-11100000000
χ3122222-2-2-2-222222-2-2-2-2-2-222-12-1222-1-111112222-1-1-1-1-2-2-2-211-1-111111111-1-1-1-10000022000-2-2000000000000000011-1-1-1-111
χ3222222-2-2-2-222222-2-2-2-2-2-222-12-1222-1-111112222-1-1-1-1-2-2-2-211-1-111111111-1-1-1-100000-2-2000220000000000000000-1-11111-1-1
χ332-2-2222i−2i2i−2i2-2-22-22i2i−2i−2i2i−2i2-222-22-2-22-22i2i−2i−2i22-2-222-2-22i−2i2i−2i2i−2i2-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000000000000000000000
χ342-2-2222i−2i2i−2i2-2-22-22i2i−2i−2i2i−2i2-22-1-2-1112-22i2i−2i−2i-1-111-1-111−ii−ii2i−2i2-2−i−iii−i−iii-1-111000000000000−i3i3000000003−33−3−i3i300000000
χ352-2-2222i−2i2i−2i2-2-22-22i2i−2i−2i2i−2i2-22-1-2-1112-22i2i−2i−2i-1-111-1-111−ii−ii2i−2i2-2−i−iii−i−iii-1-111000000000000i3−i300000000−33−33i3−i300000000
χ362-2-2222i−2i2i−2i2-2-22-22i2i−2i−2i2i−2i2-2-1212-2-2-11−i−iii22-2-2-1-1112i−2i2i−2i−ii-11−i−iii−i−iii-1-1110000000000000000000000000000−i3i33−33−3−i3i3
χ372-2-2222i−2i2i−2i2-2-22-22i2i−2i−2i2i−2i2-2-1212-2-2-11−i−iii22-2-2-1-1112i−2i2i−2i−ii-11−i−iii−i−iii-1-1110000000000000000000000000000i3−i3−33−33i3−i3
χ382-2-2222i−2i−2i2i-22-22-22i2i−2i−2i−2i2i-2222-22-2-22-2−2i−2i2i2i-2-22222-2-22i−2i−2i2i2i−2i-222i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000000000000000
χ392-2-2222i−2i−2i2i-22-22-22i2i−2i−2i−2i2i-222-1-2-1112-2−2i−2i2i2i11-1-1-1-111−iii−i2i−2i-22−i−iiiii−i−i11-1-1000000000000−i3i3000000003−3−33i3−i300000000
χ402-2-2222i−2i−2i2i-22-22-22i2i−2i−2i−2i2i-222-1-2-1112-2−2i−2i2i2i11-1-1-1-111−iii−i2i−2i-22−i−iiiii−i−i11-1-1000000000000i3−i300000000−333−3−i3i300000000
χ412-2-2222i−2i−2i2i-22-22-22i2i−2i−2i−2i2i-22-1212-2-2-11ii−i−i-2-222-1-1112i−2i−2i2i−ii1-1−i−iiiii−i−i11-1-10000000000000000000000000000−i3i33−3−33i3−i3
χ422-2-2222i−2i−2i2i-22-22-22i2i−2i−2i−2i2i-22-1212-2-2-11ii−i−i-2-222-1-1112i−2i−2i2i−ii1-1−i−iiiii−i−i11-1-10000000000000000000000000000i3−i3−333−3−i3i3
χ432-2-222−2i2i2i−2i-22-22-2−2i−2i2i2i2i−2i-2222-22-2-22-22i2i−2i−2i-2-22222-2-2−2i2i2i−2i−2i2i-22−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000000000000000
χ442-2-222−2i2i2i−2i-22-22-2−2i−2i2i2i2i−2i-222-1-2-1112-22i2i−2i−2i11-1-1-1-111i−i−ii−2i2i-22ii−i−i−i−iii11-1-1000000000000−i3i300000000−333−3i3−i300000000
χ452-2-222−2i2i2i−2i-22-22-2−2i−2i2i2i2i−2i-222-1-2-1112-22i2i−2i−2i11-1-1-1-111i−i−ii−2i2i-22ii−i−i−i−iii11-1-1000000000000i3−i3000000003−3−33−i3i300000000
χ462-2-222−2i2i2i−2i-22-22-2−2i−2i2i2i2i−2i-22-1212-2-2-11−i−iii-2-222-1-111−2i2i2i−2ii−i1-1ii−i−i−i−iii11-1-10000000000000000000000000000−i3i3−333−3i3−i3
χ472-2-222−2i2i2i−2i-22-22-2−2i−2i2i2i2i−2i-22-1212-2-2-11−i−iii-2-222-1-111−2i2i2i−2ii−i1-1ii−i−i−i−iii11-1-10000000000000000000000000000i3−i33−3−33−i3i3
χ482-2-222−2i2i−2i2i2-2-22-2−2i−2i2i2i−2i2i2-222-22-2-22-2−2i−2i2i2i22-2-222-2-2−2i2i−2i2i−2i2i2-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000000000000000
χ492-2-222−2i2i−2i2i2-2-22-2−2i−2i2i2i−2i2i2-22-1-2-1112-2−2i−2i2i2i-1-111-1-111i−ii−i−2i2i2-2ii−i−iii−i−i-1-111000000000000−i3i300000000−33−33−i3i300000000
χ502-2-222−2i2i−2i2i2-2-22-2−2i−2i2i2i−2i2i2-22-1-2-1112-2−2i−2i2i2i-1-111-1-111i−ii−i−2i2i2-2ii−i−iii−i−i-1-111000000000000i3−i3000000003−33−3i3−i300000000
χ512-2-222−2i2i−2i2i2-2-22-2−2i−2i2i2i−2i2i2-2-1212-2-2-11ii−i−i22-2-2-1-111−2i2i−2i2ii−i-11ii−i−iii−i−i-1-1110000000000000000000000000000−i3i3−33−33−i3i3
χ522-2-222−2i2i−2i2i2-2-22-2−2i−2i2i2i−2i2i2-2-1212-2-2-11ii−i−i22-2-2-1-111−2i2i−2i2ii−i-11ii−i−iii−i−i-1-1110000000000000000000000000000i3−i33−33−3i3−i3
χ534444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ544444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2222222221111-2-222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-4-444-4-4444-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-22222111122-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5644444-4-4-4-444444-4-4-4-4-4-444-2-2-2-2-2-2-2-22222-2-2-2-21111222222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5744-4-440000004-4-40000000044-4-44-4-44000000004-44-400000000000000000000000000000000000000000000000000000000
χ5844-4-440000004-4-4000000004-2-42-22-44000023−2323−23-22-22000000000000000023−2323−23000000000000000000000000000000000000
χ5944-4-440000004-4-4000000004-2-42-22-440000−2323−2323-22-220000000000000000−2323−2323000000000000000000000000000000000000
χ6044-4-440000004-4-400000000-242-44-42-223−2323−230000-22-2200000000000023−2323−230000000000000000000000000000000000000000
χ6144-4-440000004-4-400000000-242-44-42-2−2323−23230000-22-22000000000000−2323−23230000000000000000000000000000000000000000
χ6244-4-440000004-4-400000000-2-222-222-223−2323−2323−2323−231-11-1000000003-33-3−33−33−33−33000000000000000000000000000000000000
χ6344-4-440000004-4-400000000-2-222-222-223−2323−23−2323−23231-11-100000000-33-33−33−333−33−3000000000000000000000000000000000000
χ6444-4-440000004-4-400000000-2-222-222-2−2323−232323−2323−231-11-100000000-33-333−33−3−33−33000000000000000000000000000000000000
χ6544-4-440000004-4-400000000-2-222-222-2−2323−2323−2323−23231-11-1000000003-33-33−33−33−33−3000000000000000000000000000000000000
χ664-44-44000000-4-4400000000444-4-44-4-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ674-44-44000000-4-44000000004-2422-2-4-4000023−23−2323-222-2000000000000000023−23−2323000000000000000000000000000000000000
χ684-44-44000000-4-44000000004-2422-2-4-40000−232323−23-222-20000000000000000−232323−23000000000000000000000000000000000000
χ694-44-44000000-4-4400000000-24-2-4-4422−2i32i32i3−2i30000-222-2000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ704-44-44000000-4-4400000000-24-2-4-44222i3−2i3−2i32i30000-222-20000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ714-44-44000000-4-4400000000-2-2-222-222−2i32i32i3−2i323−23−23231-1-1100000000−3i3i3i−3ii3−i3−i3i3−333−3000000000000000000000000000000000000
χ724-44-44000000-4-4400000000-2-2-222-222−2i32i32i3−2i3−232323−231-1-11000000003i−3i−3i3ii3−i3−i3i33−3−33000000000000000000000000000000000000
χ734-44-44000000-4-4400000000-2-2-222-2222i3−2i3−2i32i323−23−23231-1-11000000003i−3i−3i3i−i3i3i3−i3−333−3000000000000000000000000000000000000
χ744-44-44000000-4-4400000000-2-2-222-2222i3−2i3−2i32i3−232323−231-1-1100000000−3i3i3i−3i−i3i3i3−i33−3−33000000000000000000000000000000000000
χ754-4-4444i−4i4i−4i4-4-44-44i4i−4i−4i4i−4i4-4-2-22-222-22−2i−2i2i2i-2-22211-1-1−2i2i−2i2i−2i2i-22ii−i−iii−i−i11-1-1000000000000000000000000000000000000
χ764-4-4444i−4i−4i4i-44-44-44i4i−4i−4i−4i4i-44-2-22-222-222i2i−2i−2i22-2-211-1-1−2i2i2i−2i−2i2i2-2ii−i−i−i−iii-1-111000000000000000000000000000000000000
χ774-4-444−4i4i4i−4i-44-44-4−4i−4i4i4i4i−4i-44-2-22-222-22−2i−2i2i2i22-2-211-1-12i−2i−2i2i2i−2i2-2−i−iiiii−i−i-1-111000000000000000000000000000000000000
χ784-4-444−4i4i−4i4i4-4-44-4−4i−4i4i4i−4i4i4-4-2-22-222-222i2i−2i−2i-2-22211-1-12i−2i2i−2i2i−2i-22−i−iii−i−iii11-1-1000000000000000000000000000000000000
χ796666-3666666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000022000220000-1-1-1-1-1-1-1-100000000000000
χ806666-3666666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000-2-2000-2-200001111111100000000000000
χ816666-366-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000002-20002-20000-1-1-1-1111100000000000000
χ826666-366-6-6-6-6-3-3-3-3-3-3-333330000000000000000000000000000000000000000000-22000-2200001111-1-1-1-100000000000000
χ836666-3-6-666-6-6-3-3-33333-3-33300000000000000000000000000000000000000000002-2000-220000-1-111-1-11100000000000000
χ846666-3-6-666-6-6-3-3-33333-3-3330000000000000000000000000000000000000000000-220002-2000011-1-111-1-100000000000000
χ856666-3-6-6-6-666-3-3-3333333-3-3000000000000000000000000000000000000000000022000-2-20000-1-11111-1-100000000000000
χ866666-3-6-6-6-666-3-3-3333333-3-30000000000000000000000000000000000000000000-2-200022000011-1-1-1-11100000000000000
χ876-6-66-36i−6i6i−6i6-63-33−3i−3i3i3i−3i3i-330000000000000000000000000000000000000000000000000000003−3−i3i3−i3i33−300000000000000
χ886-6-66-36i−6i6i−6i6-63-33−3i−3i3i3i−3i3i-33000000000000000000000000000000000000000000000000000000−33i3−i3i3−i3−3300000000000000
χ896-6-66-36i−6i−6i6i-663-33−3i−3i3i3i3i−3i3-30000000000000000000000000000000000000000000000000000003−3−i3i3i3−i3−3300000000000000
χ906-6-66-36i−6i−6i6i-663-33−3i−3i3i3i3i−3i3-3000000000000000000000000000000000000000000000000000000−33i3−i3−i3i33−300000000000000
χ916-6-66-3−6i6i6i−6i-663-333i3i−3i−3i−3i3i3-30000000000000000000000000000000000000000000000000000003−3i3−i3−i3i3−3300000000000000
χ926-6-66-3−6i6i6i−6i-663-333i3i−3i−3i−3i3i3-3000000000000000000000000000000000000000000000000000000−33−i3i3i3−i33−300000000000000
χ936-6-66-3−6i6i−6i6i6-63-333i3i−3i−3i3i−3i-330000000000000000000000000000000000000000000000000000003−3i3−i3i3−i33−300000000000000
χ946-6-66-3−6i6i−6i6i6-63-333i3i−3i−3i3i−3i-33000000000000000000000000000000000000000000000000000000−33−i3i3−i3i3−3300000000000000
χ951212-12-12-6000000-666−6i36i3−6i36i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12-6000000-6666i3−6i36i3−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-12-600000066-663−63−636300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-12-600000066-6−636363−6300000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).