Finite Group Databasebeta

← Group #11887258

Character table — Group #11887258

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12222233446666666666223466666666612121212121288882666666666666666612121212124488888824242424242424244444444121212122424242424121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-11111111-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1-11-111-1
χ101111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-11111111-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-1111-11-1-11
χ111111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-11-1-11-11
χ121111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-111-111-11-1
χ131111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-11111-1-1-111-1-11
χ141111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-1111-1-111-1
χ151111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-1111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-11-11-11-1
χ161111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-1-1-111-11-11-11
χ1722222222-2-22222222222002-2222222222-2-2-2-2-2-2000000000000000000000-2-2-2-2-20000000000000000222200000000000-2-20000
χ1822222222-2-22222222222002-2222222222-2-2-2-2-2-2000000000000000000000-2-2-2-2-20000000000000000-2-2-2-200000000000220000
χ192222222-1222-122222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-120000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000000220000-1-1-1-100-1-100
χ202222222-1222-122222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-120000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000-2-200001111001100
χ212222222-1222-122222-1-12-2-2-12-1-1-1-1-1-1-1-1-1222-1-120000-2-2-211-2-21111111111-1-1-1-1-1002200220000000000000-2-20000-1-1-1-1001100
χ222222222-1222-122222-1-12-2-2-12-1-1-1-1-1-1-1-1-1222-1-120000-2-2-211-2-21111111111-1-1-1-1-100-2-200-2-20000000000000220000111100-1-100
χ23222222-1222-12-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-12-1-1-1-122002200-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ24222222-1222-12-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-22-1-122-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-200-2-200111111110000-20011110000000000
χ25222222-1222-12-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-12222-211-2-211-2-2111111112-1-1-1-1-2-2002200-1-1-1-1-1-1-1-10000-20011110000000000
χ26222222-1222-12-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-211-2-211-2-2111111112-1-1-1-12200-2-200111111110000200-1-1-1-10000000000
χ272222-2-222-2-222-2-2-2-222220022-2-222-2-2-2-22-222-2-2-20000000000000000000002-2-222000000000000000022-2-2000000000002-20000
χ282222-2-222-2-222-2-2-2-222220022-2-222-2-2-2-22-222-2-2-20000000000000000000002-2-2220000000000000000-2-22200000000000-220000
χ292222-2-22-1222-1-2-2-2-22-1-1222-1-211-1-11111-12-2-2-1-120000-222-1-1-2-211-1-1-1-111111-1-111002200-2-20000000000000-220000-1-111001-100
χ302222-2-22-1222-1-2-2-2-22-1-1222-1-211-1-11111-12-2-2-1-120000-222-1-1-2-211-1-1-1-111111-1-11100-2-2002200000000000002-2000011-1-100-1100
χ312222-2-22-1222-1-2-2-2-22-1-12-2-2-1-211-1-11111-12-2-2-1-1200002-2-21122-1-11111-1-1-1-11-1-111002200-2-200000000000002-20000-1-11100-1100
χ322222-2-22-1222-1-2-2-2-22-1-12-2-2-1-211-1-11111-12-2-2-1-1200002-2-21122-1-11111-1-1-1-11-1-11100-2-200220000000000000-22000011-1-1001-100
χ332222-2-2-1222-121111-122-122-1-2-2-2-1-11111-1-11122-12222-2-1-12211-2-2-1-1-1-11111-2-1-1112200-2-200-1-1-1-111110000-200-1-1110000000000
χ342222-2-2-1222-121111-122-122-1-2-2-2-1-11111-1-11122-1-2-2-2-2-2-1-12211-2-2-1-1-1-11111-2-1-111-2-20022001111-1-1-1-1000020011-1-10000000000
χ352222-2-2-1222-121111-122-1-2-2-1-2-2-2-1-11111-1-11122-12222211-2-2-1-1221111-1-1-1-1-2-1-111-2-200-2-200-1-1-1-11111000020011-1-10000000000
χ362222-2-2-1222-121111-122-1-2-2-1-2-2-2-1-11111-1-11122-1-2-2-2-2211-2-2-1-1221111-1-1-1-1-2-1-111220022001111-1-1-1-10000-200-1-1110000000000
χ3722-2-22-22200-2222-2-2-2-2-2200202-22-222-2-2-200000022−2−2000000000000000000000000−i2i22−2−i2i222−2−222−2−22i−2i2i−2i0000000−i2i2−i2i2000000
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χ4122-2-2-222200-22-2-222-2-2-220020-222-2-2-222-200000022−2−2000000000000000000000000−i2i2−22i2−i222−2−2−2−2222i−2i−2i2i0000000−i2i2i2−i2000000
χ4222-2-2-222200-22-2-222-2-2-220020-222-2-2-222-200000022−2−2000000000000000000000000i2−i2−22−i2i222−2−2−2−222−2i2i2i−2i0000000i2−i2−i2i2000000
χ4322-2-2-222200-22-2-222-2-2-220020-222-2-2-222-2000000−2−222000000000000000000000000−i2i22−2i2−i2−2−22222−2−2−2i2i2i−2i0000000−i2i2i2−i2000000
χ4422-2-2-222200-22-2-222-2-2-220020-222-2-2-222-2000000−2−222000000000000000000000000i2−i22−2−i2i2−2−22222−2−22i−2i−2i2i0000000i2−i2−i2i2000000
χ452-2-2200222-2-2-200002-22-22-22000-2-2000022002-2-22i−2i2i−2i02-22-2000022-2-2000002-2002i−2i0000002i−2i2i−2i000000000002i−2i000000000000
χ462-2-2200222-2-2-200002-22-22-22000-2-2000022002-2-2−2i2i−2i2i02-22-2000022-2-2000002-200−2i2i000000−2i2i−2i2i00000000000−2i2i000000000000
χ472-2-2200222-2-2-200002-22-2-222000-2-2000022002-2-22i−2i2i−2i0-22-220000-2-222000002-200−2i2i0000002i−2i2i−2i00000000000−2i2i000000000000
χ482-2-2200222-2-2-200002-22-2-222000-2-2000022002-2-2−2i2i−2i2i0-22-220000-2-222000002-2002i−2i000000−2i2i−2i2i000000000002i−2i000000000000
χ492-2-2200-122-21-2−i3i3−i3i3-1-2212-2-100011−i3i3−i3i3-1-1−i3i32-212i−2i2i−2i0-112-2−i3i300-1-111−i3−i3i3i30-11−i3i32i−2i000000−ii−ii3−33−30000000−ii3−30000000000
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χ512-2-2200-122-21-2−i3i3−i3i3-1-221-22-100011−i3i3−i3i3-1-1−i3i32-212i−2i2i−2i01-1-22i3−i30011-1-1i3i3−i3−i30-11−i3i3−2i2i000000−ii−ii3−33−30000000i−i−330000000000
χ522-2-2200-122-21-2−i3i3−i3i3-1-221-22-100011−i3i3−i3i3-1-1−i3i32-21−2i2i−2i2i01-1-22i3−i30011-1-1i3i3−i3−i30-11−i3i32i−2i000000i−ii−i−33−330000000−ii3−30000000000
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χ542-2-2200-122-21-2i3−i3i3−i3-1-2212-2-100011i3−i3i3−i3-1-1i3−i32-21−2i2i−2i2i0-112-2i3−i300-1-111i3i3−i3−i30-11i3−i3−2i2i000000i−ii−i3−33−30000000i−i3−30000000000
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χ944-4-4400-2-2-4422−2i32i3−2i32i3-22-22001000-1-1i3−i3i3−i3122i3−2i32-2-200000000000−2i32i3-333-3i3−i3−i3i30-11−i3i30000000000000000000000000000000000000
χ954-4-4400-2-2-4422−2i32i3−2i32i3-22-22001000-1-1i3−i3i3−i3122i3−2i32-2-2000000000002i3−2i33-3-33−i3i3i3−i30-11−i3i30000000000000000000000000000000000000
χ964-4-4400-2-2-44222i3−2i32i3−2i3-22-22001000-1-1−i3i3−i3i312−2i32i32-2-200000000000−2i32i33-3-33i3−i3−i3i30-11i3−i30000000000000000000000000000000000000
χ974-4-4400-2-2-44222i3−2i32i3−2i3-22-22001000-1-1−i3i3−i3i312−2i32i32-2-2000000000002i3−2i3-333-3−i3i3i3−i30-11i3−i30000000000000000000000000000000000000
χ9888-8-88-8-4-4004-4-4-444444-40020-442-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-4004-444-4-4444-400204-42-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400840000-8-44-800-40004-400004000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400-44−4i34i34i3−4i34-444002000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400-444i3−4i3−4i34i34-444002000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000

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