Finite Group Databasebeta

← Group #72323803

Character table — Group #72323803

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122244444444444444888888888888161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128128128128128
order1222222222222222222222222222222224444442222244444444444444444444444444444444444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1111111111-1-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1111-1111-1111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-111-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−iii−i−i
χ1011111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1111-1111-1111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-111-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii−i−iii
χ1111111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-111-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-111iiii−i−i−i−iii−i−i-1-111−ii−ii−i−iii
χ1211111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-111-1111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-111−i−i−i−iiiii−i−iii-1-111i−ii−iii−i−i
χ1311111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1-1-11-1-1-11-1111-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i-111-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i−i−iii
χ1411111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1-1-11-1-1-11-1111-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii-111-1-1iiii−i−i−i−i−i−iii-1-111−ii−iiii−i−i
χ1511111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1-11111iiii−i−i−i−i-1-1-111−i−i−i−iiiiiii−i−i11-1-1−ii−iiii−i−i
χ1611111111-1-1-111-1-1-1-11-11111-1-1-11111-11-1111-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1-11111−i−i−i−iiiii-1-1-111iiii−i−i−i−i−i−iii11-1-1i−ii−i−i−iii
χ172222222222222222222222222222222-2-222-222-2222002200-2-2-2-2-222220000-2-2-2-2-2-2-2-200000000-20000000000000000000000000000
χ182222222222222222222222222222222-2-222-222-22-2-200-2-200-2-2-2-2-2-2-2-2-200002222222200000000-20000000000000000000000000000
χ1922222222222222222222222222-2-2-2-2222-2-22-2-22-200000000-22-22-2000000000000000022222222-2000000000000-2-2-2-2000000000000
χ2022222222222222222222222222-2-2-2-2222-2-22-2-22-200000000-22-22-20000000000000000-2-2-2-2-2-2-2-2-20000000000002222000000000000
χ2122222222222222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2000000002-22-220000000000000000000000002000022-2-222-2-20000000000000000
χ2222222222222222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2000000002-22-2200000000000000000000000020000-2-222-2-2220000000000000000
χ232222222222222-2-2-2-222-2-2-2-22-2-22222222-2-22222-200220022-2-22-22000022220000000000000000-2-2-2-2-2000000000000000000000000
χ242222222222222-2-2-2-222-2-2-2-22-2-22222222-2-22222-200-2-200-2-2-2-22-220000-2-2-2-20000000000000000-22222000000000000000000000000
χ252222222222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-222-2-20000000022-22-2000000000000000000000000200000000000000002-22-200000000
χ262222222222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2-222-2-20000000022-22-200000000000000000000000020000000000000000-22-2200000000
χ272222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2222222-2-222000000002-2-2-2-200000000000000000000000020000000000000000000022-2-20000
χ282222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2222222-2-222000000002-2-2-2-2000000000000000000000000200000000000000000000-2-2220000
χ292222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-22-2-222-2-2-2-2200000000-22222000000000000000000000000-20000000000000000000000002i−2i2i−2i
χ302222222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-22-2-222-2-2-2-2200000000-22222000000000000000000000000-2000000000000000000000000−2i2i−2i2i
χ3122222222-2-2-22222222-2-2-2-2-2-2222222-22-2-2-22-2-2-22002-2002-2-2-222-2000022-2-200000000000000002-2-222000000000000000000000000
χ3222222222-2-2-22222222-2-2-2-2-2-2222222-22-2-2-22-2-2-2200-2200-22-2-222-20000-2-2220000000000000000222-2-2000000000000000000000000
χ3322222222-2-2-22222222-2-2-2-2-2-2222222-2-22-2-2-2-2-2220000000022-2-22000000000000000000000000-200000000000000002-2-2200000000
χ3422222222-2-2-22222222-2-2-2-2-2-2222222-2-22-2-2-2-2-2220000000022-2-22000000000000000000000000-20000000000000000-222-200000000
χ3522222222-2-2-22222222-2-2-2-2-2-222-2-2-2-2-22-222222-2-2000000002-2-222000000000000000000000000-2000000000000000000002i−2i−2i2i0000
χ3622222222-2-2-22222222-2-2-2-2-2-222-2-2-2-2-22-222222-2-2000000002-2-222000000000000000000000000-200000000000000000000−2i2i2i−2i0000
χ3722222222-2-2-22222222-2-2-2-2-2-222-2-2-2-2-2-2222-2222-200000000-222-2-200000000000000000000000020000000000000000000000002-2-22
χ3822222222-2-2-22222222-2-2-2-2-2-222-2-2-2-2-2-2222-2222-200000000-222-2-20000000000000000000000002000000000000000000000000-222-2
χ3922222222-2-2-222-2-2-2-22-22222-2-2-22222-2-2222-2-2-22-222002200-2-2-222-2-2-2-20000-2-2-2-222220000000020000000000000000000000000000
χ4022222222-2-2-222-2-2-2-22-22222-2-2-22222-2-2222-2-2-22-2-2-200-2-200-2-2-222222200002222-2-2-2-20000000020000000000000000000000000000
χ4122222222-2-2-222-2-2-2-22-22222-2-2-2-2-2-2-2-22-2-2-2222-2200000000-22-2-2200000000000000002i2i2i2i−2i−2i−2i−2i2000000000000−2i−2i2i2i000000000000
χ4222222222-2-2-222-2-2-2-22-22222-2-2-2-2-2-2-2-22-2-2-2222-2200000000-22-2-220000000000000000−2i−2i−2i−2i2i2i2i2i20000000000002i2i−2i−2i000000000000
χ4322222222-2-2-222-2-2-2-22-22222-2-2-2-2-2-2-2-2-22-2-2-22222000000002-222-2000000000000000000000000-200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4422222222-2-2-222-2-2-2-22-22222-2-2-2-2-2-2-2-2-22-2-2-22222000000002-222-2000000000000000000000000-20000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ454444444-444-4-4-40000-4-4000040044-4-4-4000004-400000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000002i−2i2i−2i000000000000
χ464444444-444-4-4-40000-4-4000040044-4-4-4000004-40000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000−2i2i−2i2i000000000000
χ474444444-444-4-4-40000-4-40000400-4-444-400000-4400000000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000−2i2i−2i2i000000000000
χ484444444-444-4-4-40000-4-40000400-4-444-400000-440000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000002i−2i2i−2i000000000000
χ494444444-4-4-44-4-40000-440000-40044-4-4400000-44000000000000000000000000000000022-2-2-2-22200000000000002-2-22000000000000
χ504444444-4-4-44-4-40000-440000-40044-4-4400000-440000000000000000000000000000000-2-22222-2-20000000000000-222-2000000000000
χ514444444-4-4-44-4-40000-440000-400-4-4444000004-4000000000000000000000000000000022-2-2-2-2220000000000000-222-2000000000000
χ524444444-4-4-44-4-40000-440000-400-4-4444000004-40000000000000000000000000000000-2-22222-2-200000000000002-2-22000000000000
χ5344444-4-4444-4-4-400004-40000-400000044-400-400402200-2-2000000022-2-2000022-2-222-2-20000000000000000000000000000000000000
χ5444444-4-4444-4-4-400004-40000-400000044-400-40040-2-200220000000-2-2220000-2-222-2-2220000000000000000000000000000000000000
χ5544444-4-4444-4-4-400004-40000-40000004-4400400-402200-2-2000000022-2-20000-2-222-2-2220000000000000000000000000000000000000
χ5644444-4-4444-4-4-400004-40000-40000004-4400400-40-2-200220000000-2-222000022-2-222-2-20000000000000000000000000000000000000
χ5744444-4-44-4-44-4-400004400004000000-44400-400-402200-2-20000000-2-222000022-2-2-2-2220000000000000000000000000000000000000
χ5844444-4-44-4-44-4-400004400004000000-44400-400-40-2-20022000000022-2-20000-2-22222-2-20000000000000000000000000000000000000
χ5944444-4-44-4-44-4-400004400004000000-4-4-400400402200-2-20000000-2-2220000-2-22222-2-20000000000000000000000000000000000000
χ6044444-4-44-4-44-4-400004400004000000-4-4-40040040-2-20022000000022-2-2000022-2-2-2-2220000000000000000000000000000000000000
χ6144444-4-4-44444444-4-4-4444-4-4-44-40000-400000000000220022000000000-2-2-2-2000000000000000002-22-2000000000000000000000000
χ6244444-4-4-44444444-4-4-4444-4-4-44-40000-400000000000-2-200-2-2000000000222200000000000000000-22-22000000000000000000000000
χ6344444-4-4-444444-4-444-44-4-444-4-440000-400000000000220022000000000-2-2-2-200000000000000000-22-22000000000000000000000000
χ6444444-4-4-444444-4-444-44-4-444-4-440000-400000000000-2-200-2-20000000002222000000000000000002-22-2000000000000000000000000
χ6544444-4-4-4-4-4-44444-4-4-4-4-4-44444-400004000000000002-2002-2000000000-2-22200000000000000000-222-2000000000000000000000000
χ6644444-4-4-4-4-4-44444-4-4-4-4-4-44444-40000400000000000-2200-2200000000022-2-2000000000000000002-2-22000000000000000000000000
χ6744444-4-4-4-4-4-444-4-444-4-444-4-44-4400004000000000002-2002-2000000000-2-222000000000000000002-2-22000000000000000000000000
χ6844444-4-4-4-4-4-444-4-444-4-444-4-44-440000400000000000-2200-2200000000022-2-200000000000000000-222-2000000000000000000000000
χ6944-44-40004-444-400-4-40-4004-4004000000000000002-2002-200000002-22-20000000000002i−2i2i−2i2i−2i2i−2i000002i−2i002i−2i000000000000000000
χ7044-44-40004-444-400-4-40-4004-4004000000000000002-2002-200000002-22-2000000000000−2i2i−2i2i−2i2i−2i2i00000−2i2i00−2i2i000000000000000000
χ7144-44-40004-444-400-4-40-4004-400400000000000000-2200-220000000-22-220000000000002i−2i2i−2i2i−2i2i−2i00000−2i2i00−2i2i000000000000000000
χ7244-44-40004-444-400-4-40-4004-400400000000000000-2200-220000000-22-22000000000000−2i2i−2i2i−2i2i−2i2i000002i−2i002i−2i000000000000000000
χ7344-44-40004-4-4-444400044-4000-40000000000000002-200-2200000002-2-220000000000002-2-222-2-2200000002-2002-20000000000000000
χ7444-44-40004-4-4-444400044-4000-40000000000000002-200-2200000002-2-22000000000000-222-2-222-20000000-2200-220000000000000000
χ7544-44-40004-4-4-444400044-4000-4000000000000000-22002-20000000-222-20000000000002-2-222-2-220000000-2200-220000000000000000
χ7644-44-40004-4-4-444400044-4000-4000000000000000-22002-20000000-222-2000000000000-222-2-222-200000002-2002-20000000000000000
χ7744-44-4000-444-44-4-4000-44-400040000000000000002-200-220000000-222-20000000000002i−2i−2i2i−2i2i2i−2i00000002i−2i00−2i2i0000000000000000
χ7844-44-4000-444-44-4-4000-44-400040000000000000002-200-220000000-222-2000000000000−2i2i2i−2i2i−2i−2i2i0000000−2i2i002i−2i0000000000000000
χ7944-44-4000-444-44-4-4000-44-40004000000000000000-22002-200000002-2-220000000000002i−2i−2i2i−2i2i2i−2i0000000−2i2i002i−2i0000000000000000
χ8044-44-4000-444-44-4-4000-44-40004000000000000000-22002-200000002-2-22000000000000−2i2i2i−2i2i−2i−2i2i00000002i−2i00−2i2i0000000000000000
χ8144-44-4000-44-44-4004404004-400-4000000000000002-2002-20000000-22-220000000000002-22-2-22-22000002-200-22000000000000000000
χ8244-44-4000-44-44-4004404004-400-4000000000000002-2002-20000000-22-22000000000000-22-222-22-200000-22002-2000000000000000000
χ8344-44-4000-44-44-4004404004-400-400000000000000-2200-2200000002-22-20000000000002-22-2-22-2200000-22002-2000000000000000000
χ8444-44-4000-44-44-4004404004-400-400000000000000-2200-2200000002-22-2000000000000-22-222-22-2000002-200-22000000000000000000
χ8588-88-80008-888-800880-800-8800-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-88-80008-8-8-88-8-80008-880008000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-88-8000-888-8888000-8-88000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-88-8000-88-88-800-8-80800-8800800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-888-80000000000000000000008-800000000000004000-4000000000004-4000000000000000000000000000000000000000000000
χ9088-8-888-80000000000000000000008-80000000000000-4000400000000000-44000000000000000000000000000000000000000000000
χ9188-8-888-8000000000000000000000-880000000000004000-400000000004-400000000000000000000000000000000000000000000000
χ9288-8-888-8000000000000000000000-88000000000000-400040000000000-4400000000000000000000000000000000000000000000000
χ9388-8-88-8800000000000000000008-80000000000000004000-400000000000-44000000000000000000000000000000000000000000000
χ9488-8-88-8800000000000000000008-8000000000000000-40004000000000004-4000000000000000000000000000000000000000000000
χ9588-8-88-880000000000000000000-88000000000000004000-40000000000-4400000000000000000000000000000000000000000000000
χ9688-8-88-880000000000000000000-8800000000000000-4000400000000004-400000000000000000000000000000000000000000000000
χ97161616-16-1600000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000
χ98161616-16-160000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000
χ9916-16000008000008-88-8-80000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000
χ10016-16000008000008-88-8-8000000000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000
χ10116-1600000800000-88-88-80000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000
χ10216-1600000800000-88-88-8000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000
χ10316-1600000-8000008-8-88800000000000000000000000000000000000000000004-400004-40000000000000000000000000000000000000
χ10416-1600000-8000008-8-8880000000000000000000000000000000000000000000-440000-440000000000000000000000000000000000000
χ10516-1600000-800000-888-8800000000000000000000000000000000000000000004-40000-440000000000000000000000000000000000000
χ10616-1600000-800000-888-880000000000000000000000000000000000000000000-4400004-40000000000000000000000000000000000000

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