Finite Group Databasebeta

← Group #11790496

Character table — Group #11790496

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121244448824242424242424244488121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-11111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i1-11111-1-1-1-1i−i1-1i−ii−iii−i−i11-1-1ii−i−i1-1
χ1011-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-11111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii1-11111-1-1-1-1i−i-11−ii−iiii−i−i-1-111−i−iii-11
χ1111-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-11111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i1-11111-1-1-1-1−ii-11i−ii−i−i−iii-1-111ii−i−i-11
χ1211-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-11111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii1-11111-1-1-1-1−ii1-1−ii−ii−i−iii11-1-1−i−iii1-1
χ1311-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-111-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i-11-1-1-1-11111−ii1-1i−ii−i−i−iii11-1-1−i−iii-11
χ1411-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-111-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii-11-1-1-1-11111−ii-11−ii−ii−i−iii-1-111ii−i−i1-1
χ1511-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-111-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i-11-1-1-1-11111i−i-11i−ii−iii−i−i-1-111−i−iii1-1
χ1611-1-11-111-11-1111-1-1-111-1-1-111-111-1-1-11-111-1-1-1-111-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii-11-1-1-1-11111i−i1-1−ii−iiii−i−i11-1-1ii−i−i-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-12-122-1-12-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-12-122-1-12-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2111100001111000000
χ212222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-12-122-1-12-10000-2-21111-2-2-2-2-1-1-1-1111111112222000000000000-2-2-1-1-1-100001111000000
χ222222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-12-122-1-12-10000-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-20000000000002211110000-1-1-1-1000000
χ23222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-122-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ24222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-122-122222-2-2-2-2-2-21111-1-1-1-111111111000022-1-1-1-1-1-1-1-1-2-200000011110000000000
χ25222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200000011110000000000
χ26222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-2-2-21111-1-1-1-1111111110000-2-21111111122000000-1-1-1-10000000000
χ272222-2-2222-2-22-2-22-2-2222222-2-2-2-22-2-2222-22-22-2-22000000000000002-22-20000000022-2-20000000000000022-2-200000000000000
χ282222-2-2222-2-22-2-22-2-2222222-2-2-2-22-2-2222-22-22-2-22000000000000002-22-200000000-2-22200000000000000-2-22200000000000000
χ292222-2-222-222-2-2-22-2-2222222-2-2-2-22-2-222-22-22-222-222220000000000-22-22000000000000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-222-2-2-22-2-2222222-2-2-2-22-2-222-22-22-222-2-2-2-2-20000000000-22-2200000000000022-2-222-2-2220000000000000000000000
χ312222-2-22-12-2-22-2-22-2-22-1-1-12-11111-111-1-1212-2-11-2-1000000−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i322-2-200000000000000-1-1110000−i3i3−i3i3000000
χ322222-2-22-12-2-22-2-22-2-22-1-1-12-11111-111-1-1212-2-11-2-1000000−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i3-2-2220000000000000011-1-10000i3−i3i3−i3000000
χ332222-2-22-12-2-22-2-22-2-22-1-1-12-11111-111-1-1212-2-11-2-1000000i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i322-2-200000000000000-1-1110000i3−i3i3−i3000000
χ342222-2-22-12-2-22-2-22-2-22-1-1-12-11111-111-1-1212-2-11-2-1000000i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i3-2-2220000000000000011-1-10000−i3i3−i3i3000000
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χ362222-2-2-12-222-211-111-1222-1-1-2-211-111-1-1121-1-22-1-22222000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i30000-2-2-1-111-1-11100000000i3−i3i3−i30000000000
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χ382222-2-2-12-222-211-111-1222-1-1-2-211-111-1-1121-1-22-1-2-2-2-2-2000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i300002211-1-111-1-100000000−i3i3−i3i30000000000
χ3922-2-22-2222-22-222-2-2-222-2-2-222-222-2-2-22-2-2-22222-2-200000000000000-2-222000000000000000000000000000000000000002-2-2200
χ4022-2-22-2222-22-222-2-2-222-2-2-222-222-2-2-22-2-2-22222-2-200000000000000-2-22200000000000000000000000000000000000000-222-200
χ4122-2-22-22-1-22-2222-2-2-22-111-2-1-11-1-1111-112-1-2-2112-100002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii2i−2i2i−2i0000000000002-2−ii−ii0000-1-111000000
χ4222-2-22-22-1-22-2222-2-2-22-111-2-1-11-1-1111-112-1-2-2112-100002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii−2i2i−2i2i000000000000-22i−ii−i000011-1-1000000
χ4322-2-22-22-1-22-2222-2-2-22-111-2-1-11-1-1111-112-1-2-2112-10000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i2i−2i000000000000-22−ii−ii000011-1-1000000
χ4422-2-22-22-1-22-2222-2-2-22-111-2-1-11-1-1111-112-1-2-2112-10000−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i−2i2i0000000000002-2i−ii−i0000-1-111000000
χ4522-2-22-2-12-22-22-1-1111-12-2-21-12-2-1-1111-11-1211-2-2-1222-2-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii00002-2-1-1-1-111112i−2i000000−i−iii0000000000
χ4622-2-22-2-12-22-22-1-1111-12-2-21-12-2-1-1111-11-1211-2-2-1222-2-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i00002-2-1-1-1-11111−2i2i000000ii−i−i0000000000
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χ4822-2-22-2-12-22-22-1-1111-12-2-21-12-2-1-1111-11-1211-2-2-12-2-222−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i0000-221111-1-1-1-12i−2i000000−i−iii0000000000
χ4922-2-2-222222-2-2-2-2-22222-2-2-22-22-2-2-2222-2-222-22-22-222-2-20000000000-222-2000000000000-2222-2-2-2-2220000000000000000000000
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χ5422-2-2-222-1-2-222-2-2-2222-111-2-11-1111-1-1-1121-221-1-2-10000003−3−330000-111-133−3−3−3−333−2i2i2i−2i00000000000000i−i−ii0000i3−i3−i3i3000000
χ5522-2-2-222-1-2-222-2-2-2222-111-2-11-1111-1-1-1121-221-1-2-1000000−333−30000-111-1−3−33333−3−32i−2i−2i2i00000000000000−iii−i0000i3−i3−i3i3000000
χ5622-2-2-222-1-2-222-2-2-2222-111-2-11-1111-1-1-1121-221-1-2-1000000−333−30000-111-1−3−33333−3−3−2i2i2i−2i00000000000000i−i−ii0000−i3i3i3−i3000000
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χ934-4-4400-240000−2i32i322i3−2i32-4-44-2-200−2i32i322i3−2i32-20000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ944-4-4400-240000−2i32i322i3−2i32-4-44-2-200−2i32i322i3−2i32-200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-4400-2400002i3−2i32−2i32i32-4-44-2-2002i3−2i32−2i32i32-20000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-4400-2400002i3−2i32−2i32i32-4-44-2-2002i3−2i32−2i32i32-200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-8008-4000000800-84-44-8-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000−4i34i3-4−4i34i344-4442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i3-44i3−4i344-444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000-800-844-48-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i344i3−4i3444-4-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34−4i34i3444-4-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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