Finite Group Databasebeta

← Group #11887123

Character table — Group #11887123

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12222233446666666666223466666666612121212121288882666666666666666612121212124488888824242424242424242244444121212122424242444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
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
χ611111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
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
χ91111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-11111111-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-1-11-11-11
χ101111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-11111111-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-11-11-1
χ111111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11111-1-11-1-111-1
χ121111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-111-111-1-11
χ131111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-111-11-1
χ141111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1111-1-11-11
χ151111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-11-1-11
χ161111-1-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-111-1-11111-1-1-1-11111-1-1111-1-111-1-1-1-111-11-111-1
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
χ192222222-1222-122222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-120000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
χ202222222-1222-122222-1-1222-12-1-1-1-1-1-1-1-1-1222-1-120000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-20-200001111001100
χ212222222-1222-122222-1-12-2-2-12-1-1-1-1-1-1-1-1-1222-1-120000-2-2-211-2-21111111111-1-1-1-1-100220022000000000000-20-20000-1-1-1-1001100
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χ23222222-1222-12-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-12-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
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χ25222222-1222-12-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-12222-211-2-211-2-2111111112-1-1-1-1-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ26222222-1222-12-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-211-2-211-2-2111111112-1-1-1-12200-2-200111111110000020-1-1-1-10000000000
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χ292222-2-22-1222-1-2-2-2-22-1-1222-1-211-1-11111-12-2-2-1-120000-222-1-1-2-211-1-1-1-111111-1-111002200-2-200000000000020-20000-1-111001-100
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χ312222-2-22-1222-1-2-2-2-22-1-12-2-2-1-211-1-11111-12-2-2-1-1200002-2-21122-1-11111-1-1-1-11-1-111002200-2-2000000000000-2020000-1-11100-1100
χ322222-2-22-1222-1-2-2-2-22-1-12-2-2-1-211-1-11111-12-2-2-1-1200002-2-21122-1-11111-1-1-1-11-1-11100-2-2002200000000000020-2000011-1-1001-100
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χ352222-2-2-1222-121111-122-1-2-2-1-2-2-2-1-11111-1-11122-12222211-2-2-1-1221111-1-1-1-1-2-1-111-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-2-2-1222-121111-122-1-2-2-1-2-2-2-1-11111-1-11122-1-2-2-2-2211-2-2-1-1221111-1-1-1-1-2-1-111220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-200222-2-2-200002-22-22-22000-2-2000022002-2-22i2i−2i−2i02-22-2000022-2-2000002-2002i−2i0000002i2i−2i−2i000000000002i−2i000000000000
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χ4322-2-200-122-21-2−i3−i3i3i3-1-221-22-100011−i3−i3i3i3-1-1−i3i32-212i2i−2i−2i01-1-22i3−i30011-1-1i3i3−i3−i30-11−i3i3−2i2i000000−i−iii33−3−30000000i−i−330000000000
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χ924-4-44004400-4-40000-44-44004000-440000-400000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44004400-4-40000-44-44004000-440000-4000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-4400-24002-4−2i32i32i3−2i324-4-200-20002-2−2i32i32i3−2i3200000022−22−2222000000000000000000000000000000−222−2−i6i6i6−i6000000000000000000000
χ954-4-4400-24002-4−2i32i32i3−2i324-4-200-20002-2−2i32i32i3−2i32000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i6000000000000000000000
χ964-4-4400-24002-42i3−2i3−2i32i324-4-200-20002-22i3−2i3−2i32i3200000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i6000000000000000000000
χ974-4-4400-24002-42i3−2i3−2i32i324-4-200-20002-22i3−2i3−2i32i32000000−222222−220000000000000000000000000000002−2−22−i6i6i6−i6000000000000000000000
χ988-88-88-8-4-400-4-4-44-4444440020-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-88-4-400-4-44-44-4444400204-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400-840000-8-44800-40004-400004000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40044−4i34i34i3−4i34-44-4002000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400444i3−4i3−4i34i34-44-4002000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000

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