Finite Group Databasebeta

← Group #72252028

Character table — Group #72252028

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222444444444444444444444488888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232326464646464646464
order12222222224444222222222222224444444422222224444444444444444444222222224444444444444444444444444444444424444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111111111-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ1111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111
χ1211111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111
χ171111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-1111-11-11-11-1-1-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-11-111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-1-1-11-11-11-11-1111-11-11-1-1-11111-1-1-1-111-1-111-11-111-1-11-1111-1-111-1-1-11-11-11-11
χ191111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1111-11-11-11-11-1-11-1-11-1111-1-111-1-111-1-111-1-11-11-11-11-11-1-1-111-1-111-11-11-11-11
χ201111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-1-1-11-11-11-11111-1-11-11-1-11111-1-1-1-111-1-111-11-111-1-11-11-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11111-1-111-1-11-1-1-111-1-11-1-11111-1-111-1-1-1-1111-1-11-111-1-1111-1-1-1-1111-11-1-11-11
χ221111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11-1-11-1-111-1-1111-111-1-1111-1-111-1-1-1-11111-1-1-111-1-11-111-111-1-1-1-111-11-111-11-1
χ231111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-111-111-1-111-1-1-1-11-111-1-1-11111-1-111-1-1-1-1111-1-11-111-1-11-1-11111-1-1-11-111-11-1
χ241111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-111-1-111-111-11-111-111-1-111-1-1-1-11111-1-1-111-1-11-111-1-1-11111-1-11-11-1-11-11
χ251111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1111111111-11-11-1111-11-11-11-1-1-11-11-11-111-1-1-1-111-1-111-1-111-11-11-111-11-1-1-111-1-1111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1111111111-11-11-1-1-11-11-11-11-1111-11-11-1-1-111-1-11111-1-111-1-11-11-1-11-11-11-1-111-1-111-111-1-111-1
χ271111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1111111111-1-11-1111-11-11-11-11-1-11-1-11-1111-1-1-1-111-1-111-1-111-11-11-111-11-111-1-111-1-1-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1111111111-1-11-11-1-1-11-11-11-11111-1-11-11-1-111-1-11111-1-111-1-11-11-1-11-11-1111-1-111-1-11-1-111-1-11
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1111111-1-1-1-11111-111-1-11111-1-111-1-11-1-1-111-1-11-1-111-1-111-1-11111-1-1-111-11-11-1-11-1-11111-1-11-1-11-111-1
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1111111-1-1-1-11111-111-1-11-1-11-1-111-1-1111-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-1-11111-1-1-111-11-1-11
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1111111-1-1-1-11111-11-111-111-111-1-111-1-1-1-11-111-1-1-111-1-111-1-11111-1-1-111-11-11-1-1111-1-1-1-111-111-11-1-11
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1111111-1-1-1-11111-11-111-1-1-1-111-1-111-111-11-111-111-1-1-1-11111-1-1-1-1111-1-111-1-111-111-1-1-1-1111-1-11-111-1
χ33222222222222220000000022-2-2-2-222-2-222-2-2-22-2000022-2-2-200002-20000-2-2222-20000000000000000-220000000000002222-2-2-2-2-2-2220000000000000000000000
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χ36222222222222220000000022-2-2-2-222-2-222-2-2-22-20000-2-222-200002-2000022-2-2-220000-2-200000000-2-22-20000222200000000000000000022-2-20000000000000000
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χ4322222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-20000000022220000000000002200000000000000000000
χ4422222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22-2-22222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222000000000000000022000000002222000000000000-2-200000000000000000000
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χ542222222222-2-2-2-222222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2222222-2-2-2-22-200000000000000002-200000000-2-2220000000000002-200000000000000000000
χ552222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-2-2-22222-22222-2-22222-2-2-2-2-220000000000000000-220000000022-2-20000000000002-200000000000000000000
χ562222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-2-222222222-2222222-2-2-2-2-2-2-2-22-200000000000000002-20000000022-2-2000000000000-2200000000000000000000
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χ9844-4-404-40004i−4i4i−4i-2-222-2-222004-4000000004i−4i000-2-22200000−2i2i−2i2i00−2i−2i2i2i0000000000-2200000000−2i2i000000-22−2i2i00002-22i−2i2-22i−2i00000000000000000000000000
χ9944-4-404-40004i−4i4i−4i-2-222-2-22200-4400000000−4i4i00022-2-200000−2i2i−2i2i002i2i−2i−2i00000000002-2000000002i−2i000000-22−2i2i0000-22−2i2i2-22i−2i00000000000000000000000000
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χ10144-4-404-4000−4i4i−4i4i22-2-222-2-2004-400000000−4i4i00022-2-200000−2i2i−2i2i00−2i−2i2i2i00000000002-200000000−2i2i0000002-2−2i2i00002-2−2i2i2-2−2i2i00000000000000000000000000
χ10244-4-404-4000−4i4i−4i4i22-2-222-2-2004-400000000−4i4i00022-2-200000−2i2i−2i2i00−2i−2i2i2i0000000000-22000000002i−2i000000-222i−2i0000-222i−2i-222i−2i00000000000000000000000000
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χ10444-4-404-4000−4i4i−4i4i22-2-222-2-200-44000000004i−4i000-2-22200000−2i2i−2i2i002i2i−2i−2i0000000000-22000000002i−2i0000002-2−2i2i0000-222i−2i2-2−2i2i00000000000000000000000000
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χ10644-4-404-4000−4i4i−4i4i-2-222-2-222004-400000000−4i4i000-2-222000002i−2i2i−2i002i2i−2i−2i0000000000-22000000002i−2i000000-222i−2i00002-2−2i2i2-2−2i2i00000000000000000000000000
χ10744-4-404-4000−4i4i−4i4i-2-222-2-22200-44000000004i−4i00022-2-2000002i−2i2i−2i00−2i−2i2i2i00000000002-200000000−2i2i000000-222i−2i0000-222i−2i2-2−2i2i00000000000000000000000000
χ10844-4-404-4000−4i4i−4i4i-2-222-2-22200-44000000004i−4i00022-2-2000002i−2i2i−2i00−2i−2i2i2i0000000000-22000000002i−2i0000002-2−2i2i00002-2−2i2i-222i−2i00000000000000000000000000
χ10988-8-80-880008i−8i−8i8i44-4-4-4-444000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-80-880008i−8i−8i8i-4-44444-4-400000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-80-88000−8i8i8i−8i44-4-4-4-44400000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-80-88000−8i8i8i−8i-4-44444-4-4000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-880000-800004-44-44-44-400000000008i−8i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-880000-800004-44-44-44-40000000000−8i8i00000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-880000-80000-44-44-44-4400000000008i−8i00000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-880000-80000-44-44-44-440000000000−8i8i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-80000800004-44-4-44-448-80000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-80000800004-44-4-44-44-88000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-8000080000-44-444-44-48-8000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-8000080000-44-444-44-4-880000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-880008-80000000000000000000008-800000004-4-44000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-880008-80000000000000000000008-80000000-444-400000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-880008-8000000000000000000000-8800000004-4-4400000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-880008-8000000000000000000000-880000000-444-4000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88000-880000000008-8-8800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88000-88000000000-888-800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88000-88000008-8-8800000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88000-8800000-888-800000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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