Finite Group Databasebeta

← Group #11887114

Character table — Group #11887114

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222223344666666666634446666666661212121212128888412121212121212121212121212121212121212121222888888242424242424242422442246666242424244461244
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
χ51111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-11-111-1
χ101111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11-111-1-1-1-1111-11-1-11
χ111111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11111-1-11-1-11-11
χ121111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-111-111-11-1
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-11
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1-111-1-1111-1-111-1
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-11-11-11-1
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-111-11-11-11
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ192222222-122-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-122-122222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ202222222-122-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000-20011110000000000
χ212222222-122-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-12222-22-2-211-2-211-1-1-1-111111111-2-2002200-1-1-1-1-1-1-1-10000-20011110000000000
χ222222222-122-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-22-2-211-2-211-1-1-1-1111111112200-2-200111111110000200-1-1-1-10000000000
χ23222222-122222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000000220000-1-1-1-100-1-100
χ24222222-122222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000-2-200001111001100
χ25222222-122222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-111-2-211-2-2-1-1-1-111111111002200220000000000000-2-20000-1-1-1-1001100
χ26222222-122222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-111-2-211-2-2-1-1-1-11111111100-2-200-2-20000000000000220000111100-1-100
χ272222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-2-200000200000000-2-22200000000000000000000000022-2-200000000000-220000
χ282222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-2-200000200000000-2-222000000000000000000000000-2-222000000000002-20000
χ292222-2-22-122-111112-12-12-1-222-2-2-11111-1-1-11122-12222-2-222-1-1-2-211-1-111-1-1-1-111112200-2-200-1-1-1-111110000-200-1-1110000000000
χ302222-2-22-122-111112-12-12-1-222-2-2-11111-1-1-11122-1-2-2-2-2-2-222-1-1-2-211-1-111-1-1-1-11111-2-20022001111-1-1-1-1000020011-1-10000000000
χ312222-2-22-122-111112-12-12-1-2-2-2-2-2-11111-1-1-11122-122222-2-2-21122-1-1-1-1111111-1-1-1-1-2-200-2-200-1-1-1-11111000020011-1-10000000000
χ322222-2-22-122-111112-12-12-1-2-2-2-2-2-11111-1-1-11122-1-2-2-2-22-2-2-21122-1-1-1-1111111-1-1-1-1220022001111-1-1-1-10000-200-1-1110000000000
χ332222-2-2-12222-2-2-2-2-12-12-1-1-22211-11111-1-12-2-2-1-120000-21-1-12211-2-2-1-111-1-1-1-11111002200-2-20000000000000-220000-1-111001-100
χ342222-2-2-12222-2-2-2-2-12-12-1-1-22211-11111-1-12-2-2-1-120000-21-1-12211-2-2-1-111-1-1-1-1111100-2-2002200000000000002-2000011-1-100-1100
χ352222-2-2-12222-2-2-2-2-12-12-1-1-2-2-211-11111-1-12-2-2-1-1200002111-2-2-1-122-1-1111111-1-1-1-1002200-2-200000000000002-20000-1-11100-1100
χ362222-2-2-12222-2-2-2-2-12-12-1-1-2-2-211-11111-1-12-2-2-1-1200002111-2-2-1-122-1-1111111-1-1-1-100-2-200220000000000000-22000011-1-1001-100
χ3722-2-22-22200222-2-2-2-2-2-2220002-2222-2-2-2-2000000−i2−i2i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22-20000000−i2i2−i2i2000000
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χ4122-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-2000000−i2−i2i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i2-222-20000000−i2i2i2−i2000000
χ4222-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-2000000−i2−i2i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i22-2-220000000i2−i2−i2i2000000
χ4322-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-2000000i2i2−i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i22-2-220000000−i2i2i2−i2000000
χ4422-2-2-2222002-2-222-2-2-2-222000-222-2-222-2-2000000i2i2−i2−i2000000000000000000000000i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i2-222-20000000i2−i2−i2i2000000
χ452-22-200222-2-2000022-2-2-2202i−2i00-200002-22002-2-22i−2i2i−2i002i−2i2i−2i00002-2002i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-22-200222-2-2000022-2-2-2202i−2i00-200002-22002-2-2−2i2i−2i2i002i−2i2i−2i00002-2002i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-22-200222-2-2000022-2-2-220−2i2i00-200002-22002-2-22i−2i2i−2i00−2i2i−2i2i00002-200−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-22-200222-2-2000022-2-2-220−2i2i00-200002-22002-2-2−2i2i−2i2i00−2i2i−2i2i00002-200−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-22-2002-12-21−i3i3−i3i32-1-21-2-102i−2i001−i3i3−i3i3-11-1−i3i32-212i−2i2i−2i002i−2i−ii003−3-11−i3i3−i−iii33−3−32-2000000−ii−ii3−33−30000000-11−i3i30000000000
χ502-22-2002-12-21−i3i3−i3i32-1-21-2-102i−2i001−i3i3−i3i3-11-1−i3i32-21−2i2i−2i2i002i−2i−ii003−3-11−i3i3−i−iii33−3−3-22000000i−ii−i−33−3300000001-1i3−i30000000000
χ512-22-2002-12-21−i3i3−i3i32-1-21-2-10−2i2i001−i3i3−i3i3-11-1−i3i32-212i−2i2i−2i00−2i2ii−i00−33-11−i3i3ii−i−i−3−333-22000000−ii−ii3−33−300000001-1i3−i30000000000
χ522-22-2002-12-21−i3i3−i3i32-1-21-2-10−2i2i001−i3i3−i3i3-11-1−i3i32-21−2i2i−2i2i00−2i2ii−i00−33-11−i3i3ii−i−i−3−3332-2000000i−ii−i−33−330000000-11−i3i30000000000
χ532-22-2002-12-21i3−i3i3−i32-1-21-2-102i−2i001i3−i3i3−i3-11-1i3−i32-212i−2i2i−2i002i−2i−ii00−33-11i3−i3−i−iii−3−3332-2000000−ii−ii−33−330000000-11i3−i30000000000
χ542-22-2002-12-21i3−i3i3−i32-1-21-2-102i−2i001i3−i3i3−i3-11-1i3−i32-21−2i2i−2i2i002i−2i−ii00−33-11i3−i3−i−iii−3−333-22000000i−ii−i3−33−300000001-1−i3i30000000000
χ552-22-2002-12-21i3−i3i3−i32-1-21-2-10−2i2i001i3−i3i3−i3-11-1i3−i32-212i−2i2i−2i00−2i2ii−i003−3-11i3−i3ii−i−i33−3−3-22000000−ii−ii−33−3300000001-1−i3i30000000000
χ562-22-2002-12-21i3−i3i3−i32-1-21-2-10−2i2i001i3−i3i3−i3-11-1i3−i32-21−2i2i−2i2i00−2i2ii−i003−3-11i3−i3ii−i−i33−3−32-2000000i−ii−i3−33−30000000-11i3−i30000000000
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χ924-4-44004400-40000-4-444-4400000-40000-4400000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44004400-40000-4-444-4400000-40000-44000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-44004-2002−2i32i32i3−2i3-424-2-4-2000002−2i32i32i3−2i32-200000022−22−2222000000000000000000000000000000−222−2−i6i6i6−i6000000000000000000000
χ954-4-44004-2002−2i32i32i3−2i3-424-2-4-2000002−2i32i32i3−2i32-2000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i6000000000000000000000
χ964-4-44004-20022i3−2i3−2i32i3-424-2-4-20000022i3−2i3−2i32i32-200000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i6000000000000000000000
χ974-4-44004-20022i3−2i3−2i32i3-424-2-4-20000022i3−2i3−2i32i32-2000000−222222−220000000000000000000000000000002−2−22−i6i6i6−i6000000000000000000000
χ9888-8-88-8-4-400-4-4-4444444-42000-44222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-400-444-4-44444-420004-42-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800-800004-8-484-400000400004-4000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4004−4i34i34i3−4i344-4-44200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40044i3−4i3−4i34i344-4-44200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000

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