Finite Group Databasebeta

← Group #72341502

Character table — Group #72341502

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size11222444444444444448888888888888888161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464
order12222222222222244442222224444444444222222244444444444442444444444444444444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ311111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111-1-111-1-111-111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111-1-111-1-111-111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ711111111111111111111111111111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111
χ811111111111111111111111111111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111111111111111111-1-1111111-1-111-1-111111-1111111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111111111-1-1111111-1-111-1-111111-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1111111111111111111111111-1-1111111-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ1211111111111111111111111-1-1111111-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1311111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ1411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ1511111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1
χ1611111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ171111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-1-111-111-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-1
χ181111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-1-111-111-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-1
χ191111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-11111-111-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111-11
χ201111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-11111-111-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111-11
χ211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-11
χ221111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-11
χ231111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-11111-1-11-1
χ241111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-11111-1-11-1
χ251111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-1-1-1111-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-11
χ261111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-1-1-1111-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-11
χ271111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-111-1-1111-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1
χ281111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-111-1-1111-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1
χ291111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-11-1-1111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111-1-1111-1
χ301111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-11-1-1111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111-1-1111-1
χ311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111-1-11-1-1111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-11
χ321111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111-1-11-1-1111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-11
χ3322222222222-2-2-2-22222-2-2-2-22222-2-22222-2-2-2-2200002220000-2-22-2-2-22-22-2000000000000000000000000000000000000000000
χ3422222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-200002-2-20000-2-22222-22-22000000000000000000000000000000000000000000
χ3522222222222-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-22220000-222000022-2-2-2-2-22-22000000000000000000000000000000000000000000
χ3622222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-22222-20000-2-2-2000022-22222-22-2000000000000000000000000000000000000000000
χ372222222-2-2-2-222222222-2-2-2-222-2-22222-2-22222200002-2-20000-2-2-2-2-222-2-22000000000000000000000000000000000000000000
χ382222222-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-2-222-200002220000-2-2-222-2-222-2000000000000000000000000000000000000000000
χ392222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-220000-2-2-20000222-2-22-222-2000000000000000000000000000000000000000000
χ402222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-20000-222000022222-22-2-22000000000000000000000000000000000000000000
χ4122222-2-2222222-2-22-22-222-2-222-2-22-20022002-200000-20000002-2-20000000000000002-22-22-22-200000000000000000000000000
χ4222222-2-2222222-2-22-22-222-2-222-2-22-20022002-200000-20000002-2-2000000000000000-22-22-22-2200000000000000000000000000
χ4322222-2-2222222-2-22-22-222-2-2-2-2-2-22-200-2-200-22000002000000-2220000000000000002-22-2-22-2200000000000000000000000000
χ4422222-2-2222222-2-22-22-222-2-2-2-2-2-22-200-2-200-22000002000000-222000000000000000-22-222-22-200000000000000000000000000
χ4522222-2-22222-2-2222-22-2-2-22222-2-2-22002200-2200000-2000000-22-200000002-22-22-22-20000000000000000000000000000000000
χ4622222-2-22222-2-2222-22-2-2-22222-2-2-22002200-2200000-2000000-22-20000000-22-22-22-220000000000000000000000000000000000
χ4722222-2-22222-2-2222-22-2-2-222-2-2-2-2-2200-2-2002-20000020000002-2200000002-22-2-22-220000000000000000000000000000000000
χ4822222-2-22222-2-2222-22-2-2-222-2-2-2-2-2200-2-2002-20000020000002-220000000-22-222-22-20000000000000000000000000000000000
χ4922222-2-222-2-22222-22-222-22-2002-2-2-222002200-2000002-200000002-2-2000000000000000000002-22-200002-22-200000000000000
χ5022222-2-222-2-22222-22-222-22-2002-2-2-222002200-2000002-200000002-2-200000000000000000000-22-220000-22-2200000000000000
χ5122222-2-222-2-22222-22-222-22-2002-2-2-2-2-200-2-200200000-220000000-222000000000000000000002-22-20000-22-2200000000000000
χ5222222-2-222-2-22222-22-222-22-2002-2-2-2-2-200-2-200200000-220000000-22200000000000000000000-22-2200002-22-200000000000000
χ5322222-2-222-2-2-2-2-2-2-22-22-22-22002-2222200-2-200-2000002-20000000-2220000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000
χ5422222-2-222-2-2-2-2-2-2-22-22-22-22002-2222200-2-200-2000002-20000000-222000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ5522222-2-222-2-2-2-2-2-2-22-22-22-22002-222-2-2002200200000-2200000002-2-20000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000
χ5622222-2-222-2-2-2-2-2-2-22-22-22-22002-222-2-2002200200000-2200000002-2-2000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000
χ5722222-2-2-2-2222222-22-22-22-2200-22-2-222002200-200000-220000000-22-20000000000000000000000002-2-2200002-2-220000000000
χ5822222-2-2-2-2222222-22-22-22-2200-22-2-222002200-200000-220000000-22-2000000000000000000000000-222-20000-222-20000000000
χ5922222-2-2-2-2222222-22-22-22-2200-22-2-2-2-200-2-2002000002-200000002-220000000000000000000000002-2-220000-222-20000000000
χ6022222-2-2-2-2222222-22-22-22-2200-22-2-2-2-200-2-2002000002-200000002-22000000000000000000000000-222-200002-2-220000000000
χ6122222-2-2-2-222-2-2-2-2-22-222-22-200-22222200-2-200-200000-2200000002-22000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000000000
χ6222222-2-2-2-222-2-2-2-2-22-222-22-200-22222200-2-200-200000-2200000002-2200000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ6322222-2-2-2-222-2-2-2-2-22-222-22-200-2222-2-20022002000002-20000000-22-2000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ6422222-2-2-2-222-2-2-2-2-22-222-22-200-2222-2-20022002000002-20000000-22-200000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ6522222-2-2-2-2-2-222-2-22-22-2-2-22222222-200-2-2002-200000-2000000-22200000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ6622222-2-2-2-2-2-222-2-22-22-2-2-22222222-200-2-2002-200000-2000000-2220000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ6722222-2-2-2-2-2-222-2-22-22-2-2-222-2-2222-2002200-220000020000002-2-200000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ6822222-2-2-2-2-2-222-2-22-22-2-2-222-2-2222-2002200-220000020000002-2-20000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ6922222-2-2-2-2-2-2-2-2222-22-222-2-22222-2200-2-200-2200000-20000002-220000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ7022222-2-2-2-2-2-2-2-2222-22-222-2-22222-2200-2-200-2200000-20000002-22000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ7122222-2-2-2-2-2-2-2-2222-22-222-2-2-2-222-220022002-2000002000000-22-20000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ7222222-2-2-2-2-2-2-2-2222-22-222-2-2-2-222-220022002-2000002000000-22-2000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ73444444444-4-444-4-4-4-4-4-44-4-4400-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-444-4-4-4-4-444-400-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ754444444-4-44444-4-4-4-4-4-4-444-4004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ764444444-4-444-4-444-4-4-4-44-4-44004-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ7744-44-40000004-44-40-40400000000004-4004-40002-22-20002-22-200000000000000000000000000000000000000000000002-22-200
χ7844-44-40000004-44-40-40400000000004-4004-4000-22-22000-22-220000000000000000000000000000000000000000000000-22-2200
χ7944-44-40000004-44-40-4040000000000-4400-440002-22-20002-22-20000000000000000000000000000000000000000000000-22-2200
χ8044-44-40000004-44-40-4040000000000-4400-44000-22-22000-22-2200000000000000000000000000000000000000000000002-22-200
χ8144-44-4000000-44-440-40400000000004-400-440002-2-220002-2-2200000000000000000000000000000000000000000000002-2-2200
χ8244-44-4000000-44-440-40400000000004-400-44000-222-2000-222-20000000000000000000000000000000000000000000000-222-200
χ8344-44-4000000-44-440-4040000000000-44004-40002-2-220002-2-220000000000000000000000000000000000000000000000-222-200
χ8444-44-4000000-44-440-4040000000000-44004-4000-222-2000-222-200000000000000000000000000000000000000000000002-2-2200
χ8544-4-44004-44-40000-404000004-40000004-4000002-22-2000-22-220000000000000000000000000000000000000000002-22-2000000
χ8644-4-44004-44-40000-404000004-40000004-400000-22-220002-22-2000000000000000000000000000000000000000000-22-22000000
χ8744-4-44004-44-40000-40400000-44000000-44000002-22-2000-22-22000000000000000000000000000000000000000000-22-22000000
χ8844-4-44004-44-40000-40400000-44000000-4400000-22-220002-22-20000000000000000000000000000000000000000002-22-2000000
χ8944-4-4400-44-440000-404000004-4000000-44000002-2-22000-222-20000000000000000000000000000000000000000002-2-22000000
χ9044-4-4400-44-440000-404000004-4000000-4400000-222-20002-2-22000000000000000000000000000000000000000000-222-2000000
χ9144-4-4400-44-440000-40400000-440000004-4000002-2-22000-222-2000000000000000000000000000000000000000000-222-2000000
χ9244-4-4400-44-440000-40400000-440000004-400000-222-20002-2-220000000000000000000000000000000000000000002-2-22000000
χ93888-8-88-80000000000000000000000000000000004400000-4-40000000000000000000000000000000000000000000000000000
χ94888-8-88-8000000000000000000000000000000000-4-400000440000000000000000000000000000000000000000000000000000
χ95888-8-8-8800000000000000000000000000000004400000-4-4000000000000000000000000000000000000000000000000000000
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χ9788-88-80000008-8-88080-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-88-8000000-888-8080-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-88008-8-88000080-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8800-888-8000080-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10132-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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