Finite Group Databasebeta

← Group #72318510

Character table — Group #72318510

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222244444444444444444488888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222224444442222222222244444444444442222222222244444444444444444444444444444444444444444444444444488884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11111111-1-11-1-111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111
χ711111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111
χ811111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1
χ9111111111111111111111-1-111111-1-111111111-1-1-11111-1-1-11111111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1
χ10111111111111111111111-1-111111-1-111111111-1-1-11111-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ11111111111111111111111-1-111111-1-111111111-1-1-11111-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ12111111111111111111111-1-111111-1-111111111-1-1-11111-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1
χ13111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11111-111-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ14111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1111111-1-1-1-1
χ15111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-111-111-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1
χ16111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-111-1-1-1-11111111111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1711111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-11111111-1-1-11111-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111111-11-11-11-11-11-11-1-1-111-1-1-1-11111-1-11-11-1
χ1811111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-11111111-1-1-11111-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-11-11-11-11-111-1-11-1-1-1-111-1-111-1-111-11-11
χ1911111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-111-1-1-1-11-1-11-111-1-11-111-11111-1-111-1-1-1-1111-1-11
χ2011111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-1-1-1-111-11-1-111-1-11-1111-1-11111-1-111-1-1-111-1
χ2111111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-111-111-1-111111-1-111-1-111-1-1-1-1-1-11-11-11-11-11-11-11-111-1-11111-1-1-1-111-11-11
χ2211111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111-111-111-1-111111-1-111-1-1-1-111-1-1-1-1-11-11-11-11-111-1-111111-1-111-1-111-1-11-11-1
χ2311111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-111-11111-1-1111-1-1-1-111-1-11111111-1-11-111-1-11-111-1-1-1-1-111-1-11111-1-1-111-1
χ2411111111-1-1-1-11111111-1-11111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111-11111-1-1111-1-1-1-11111-1-11111-111-11-1-111-1-11-11-1-111-1-1-1-111-1-1111-1-11
χ2511111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-111-1-11-11-111-11111-1-1-1-1-1-111-1-1-11-11
χ2611111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-11-1-111-11-1-11-1111-1-111-1-1-1-1-1-1111-11-1
χ2711111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-11-111-11-11-1-1-111-1-11111-1-111-111-1
χ2811111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1-11-1-1-1-111111111-1-11-1-11
χ2911111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-111-1-11-11-111-1-1-1-1-1111111-1-1111-11-1
χ3011111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1111-1-11-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-111-11-1-11-11-1-111-1-1111111-1-1-11-11
χ3111111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-11111-1-111-1-1111111-111-1-11-111-11-11-111-1-111-1-1-1-111-1-11-1-11
χ3211111111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-11111-1-11111-1-111111-1-111-11-1-111-1-111111-1-1-1-1-1-1-1-111-111-1
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χ34222222222222222222-222222-2-2-2222-2-2-2-222-2-22220000222-2-2-2-2-2-20000-20000-2-20000-200-200-2-2-2-2-2000022220000000000000000002200000000000000000000
χ35222222222222222222-222-2-22-2-2-22-2-2-2-2-2-222-2-2-2-2-20000-2-2-22222-2-2000020000-2-2000020020022-2-220000-2-2-2-20000000000000000002200000000000000000000
χ36222222222222222222-222-2-22-2-2-22-2-2-2-2-2-222-2-2-2-2-20000-2-2-2-2-2-2-2-2-2000020000220000200200-2-222200002222000000000000000000-2-200000000000000000000
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χ382222222222222222-2-222222-2222-222-2-2-2-2-2-2222-2-200002-2-20000-2-200002000000-2-2-2-2-2002000000-20000000000000000-2-2000022000022000000000000000000
χ392222222222222222-2-2222-2-2-2222-2-2-2-2-2-2-2-2-222-2220000-2220000-2-20000-20000002222200-200000020000000000000000-2-20000220000-2-2000000000000000000
χ402222222222222222-2-2222-2-2-2222-2-2-2-2-2-2-2-2-222-2220000-2220000-2-20000-2000000-2-2-2-2200-200000020000000000000000220000-2-2000022000000000000000000
χ412222222222222222-2-2-22222-2-2-2-2-2222222-2-2-2-22-2-200002-2-20000220000-20000000000200-20000002000000002222000000-2-2-2-200220000000000000000000000
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χ4522222222-2-2-2-2222222-2-2-2222-2-2-22-2-2-2-2-2-2-2-2222220000-2-2-22222220000-20000-2-20000200200-2-222-20000-2-222000000000000000000-2200000000000000000000
χ4622222222-2-2-2-2222222-2-2-2222-2-2-22-2-2-2-2-2-2-2-2222220000-2-2-2-2-2-2-2220000-2000022000020020022-2-2-2000022-2-20000000000000000002-200000000000000000000
χ4722222222-2-2-2-2222222-2-2-2-2-22-2-2-2222-2-2-2-2-2-222-2-2-20000222222222000020000220000-200-200-2-2-2-220000-2-2220000000000000000002-200000000000000000000
χ4822222222-2-2-2-2222222-2-2-2-2-22-2-2-2222-2-2-2-2-2-222-2-2-20000222-2-2-2-222000020000-2-20000-200-20022222000022-2-2000000000000000000-2200000000000000000000
χ4922222222-2-2-2-22222-2-22-2-222-2222-2-2-2-2-2-2-222-2-22-2-20000-2220000220000200000022-2-2200-2000000-200000000000000002-20000-220000-22000000000000000000
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χ894-4-444-4-440000-44-444-440000-4-44-4400-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000004-40000
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χ934-4-444-4-440000-44-44-44400004-44-4-4004-44-400000000000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ944-4-444-4-440000-44-44-44400004-44-4-4004-44-40000000000000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ954-4-444-4-440000-44-44-44-4000044-44-400-44-4400000004-4-440000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-440000-44-44-44-4000044-44-400-44-440000000-444-4000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
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χ984-4-4-4-444444-4-444-4-4000-440000000000000000004-4-2-22204-400000022-2-20-22-2200000002-20-22000002-22-200000000000000000000000000000000000000000000
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χ1004-4-4-4-444444-4-444-4-4000-44000000000000000000-44-2-2220-4400000022-2-20-222-20000000-2202-2000002-2-2200000000000000000000000000000000000000000000
χ1014-4-4-4-444444-4-4-4-4444444-400-4-4-44-400-444-4-444-400000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-444444-4-4-4-44444-44-400-444-4-4004-4-44-44-44000000000000004-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4444-4-44444-4-40004-40000000000000000004-422-2-20-44000000-2-2220-222-200000002-20-22000002-2-2200000000000000000000000000000000000000000000
χ1044-4-4-4-4444-4-44444-4-40004-40000000000000000004-4-2-2220-4400000022-2-202-2-220000000-2202-200000-222-200000000000000000000000000000000000000000000
χ1054-4-4-4-4444-4-44444-4-40004-4000000000000000000-4422-2-204-4000000-2-2220-22-220000000-2202-2000002-22-200000000000000000000000000000000000000000000
χ1064-4-4-4-4444-4-44444-4-40004-4000000000000000000-44-2-22204-400000022-2-202-22-200000002-20-2200000-22-2200000000000000000000000000000000000000000000
χ1074-4-4-4-4444-4-444-4-444444-4400-4-4-44-400-444-44-4-44000000000000004-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-4-444-4-44444-4-4400-444-4-4004-4-444-44-400000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ109888-8-8-8-880000-888-800000000000000000000000004-44-4000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ110888-8-8-8-880000-888-80000000000000000000000000-44-440000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ11188-88-88-8-800000000000000000000000000000000000000004i−4i4i−4i0000000000000004-40000000000000000000004i−4i000000000000000000000000000000000000
χ11288-88-88-8-800000000000000000000000000000000000000004i−4i4i−4i000000000000000-44000000000000000000000−4i4i000000000000000000000000000000000000
χ11388-88-88-8-80000000000000000000000000000000000000000−4i4i−4i4i0000000000000004-4000000000000000000000−4i4i000000000000000000000000000000000000
χ11488-88-88-8-80000000000000000000000000000000000000000−4i4i−4i4i000000000000000-440000000000000000000004i−4i000000000000000000000000000000000000
χ11588-8-88-88-88-88-80000000000000000000000000000000000000000000000000004-40000000000004-40000000000000000000000000000000000000000000000000
χ11688-8-88-88-88-88-8000000000000000000000000000000000000000000000000000-44000000000000-440000000000000000000000000000000000000000000000000
χ11788-8-88-88-8-88-880000000000000000000000000000000000000000000000000004-4000000000000-440000000000000000000000000000000000000000000000000
χ11888-8-88-88-8-88-88000000000000000000000000000000000000000000000000000-440000000000004-40000000000000000000000000000000000000000000000000
χ1198-888-8-88-88-8-880000000008-8000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-888-8-88-88-8-88000000000-8800000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-888-8-88-8-888-80000000008-800000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-888-8-88-8-888-8000000000-88000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-888-8-800000000000000000000000000000000000000004i−4i−4i4i00000000000004-40000000000000000000004i−4i00000000000000000000000000000000000000
χ1248-88-888-8-800000000000000000000000000000000000000004i−4i−4i4i0000000000000-44000000000000000000000−4i4i00000000000000000000000000000000000000
χ1258-88-888-8-80000000000000000000000000000000000000000−4i4i4i−4i00000000000004-4000000000000000000000−4i4i00000000000000000000000000000000000000
χ1268-88-888-8-80000000000000000000000000000000000000000−4i4i4i−4i0000000000000-440000000000000000000004i−4i00000000000000000000000000000000000000
χ1278-8-888-8-8800008-88-800000000000000000000000004-4-44000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888-8-8800008-88-80000000000000000000000000-444-40000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000

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