Finite Group Databasebeta

← Group #72266300

Character table — Group #72266300

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127
size11112222444444444448888888888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128128128128128
order1222222222222222222222222222222222222222222244442222222244444444444444442444444444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i
χ611111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii
χ711111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−i−i−iiiii
χ811111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiiiii−i−i−i−i
χ9111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ10111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ12111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ1711111111111111111-1-1111111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ1811111111111111111-1-1111111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111-11-11−ii−ii−ii−ii
χ1911111111111111111-1-1111111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11-11-1−ii−ii−ii−ii
χ2011111111111111111-1-1111111-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111-11-11i−ii−ii−ii−i
χ2111111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iiii−i−ii-11-111-11-1
χ2211111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iiiii−i−i−iii−i1-11-1-11-11
χ2311111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−i−i−iiii−i−ii1-11-1-11-11
χ2411111111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−i−iii−i-11-111-11-1
χ2511111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-111-1-1-11-11i−i−iii−i−ii
χ2611111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111-1-1111-11-1−iii−i−iii−i
χ2711111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-111-1-1-11-11−iii−i−iii−i
χ2811111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111-1-1111-11-1i−i−iii−i−ii
χ2911111111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii−iii−i-111-11-1-11
χ3011111111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11-111-1
χ3111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11-111-1
χ3211111111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111111-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii-111-11-1-11
χ33222222222222222222222-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-22-222-2-222-2-200000000000000000000000000000000000000000000
χ34222222222222222222222-2-2-2-22222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222222-22-2-222-2-22200000000000000000000000000000000000000000000
χ35222222222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-22-2-2-222-2-22200000000000000000000000000000000000000000000
χ36222222222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222222-2222-2-222-2-200000000000000000000000000000000000000000000
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χ3922222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-22222-2-222-2-222-2-22222-2-22222-2-2-2-2-22222-2-200000000000000000000000000000000000000000000
χ4022222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-22222-2-2-2-2-2-222222-2-2-2-22200000000000000000000000000000000000000000000
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χ954444-4-444-4-44-44-4-444004-4000000000-4-44400004-4004-40000000000-4400004-40000000000000-4400000000000000000000000000000000000000000000000000
χ964444-4-444-4-44-44-4-444004-4000000000-4-4440000-4400-4400000000004-400004-400000000000004-400000000000000000000000000000000000000000000000000
χ978888-8-8-8-888-8-8800000000000008-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988888-8-8-8-888-8-880000000000000-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998888-8-8-8-88-888-800000000000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008888-8-8-8-88-888-80000000000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8000000000008-800000000000000000004400-4-40000000000004-400000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ1028-88-88-8000000000008-800000000000000000004400-4-40000000000004-40000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ1038-88-88-8000000000008-80000000000000000000-4-40044000000000000-4400000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ1048-88-88-8000000000008-80000000000000000000-4-40044000000000000-440000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ1058-88-88-800000000000-8800000000000000000004400-4-4000000000000-4400000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ1068-88-88-800000000000-8800000000000000000004400-4-4000000000000-440000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ1078-88-88-800000000000-880000000000000000000-4-400440000000000004-400000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ1088-88-88-800000000000-880000000000000000000-4-400440000000000004-40000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ1098-8-88008-800000008-800004-44-400000008-800000000004-44-4004-400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-800000008-800004-44-40000000-8800000000004-44-400-440000000000-44000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-800000008-80000-44-4400000008-80000000000-44-4400-440000000000-44000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88008-800000008-80000-44-440000000-880000000000-44-44004-400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88008-80000000-8800004-44-4000008-8000000000000-44-44004-40000000000-44000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88008-80000000-8800004-44-400000-88000000000000-44-4400-4400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88008-80000000-880000-44-44000008-80000000000004-44-400-4400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88008-80000000-880000-44-4400000-880000000000004-44-4004-40000000000-44000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-88000008-80000004-4-44000000000008-80000004-4-4400004-40000000000004-400000000000000000000000000000000000000000000000000000000000
χ1188-8-8800-88000008-80000004-4-4400000000000-880000004-4-440000-44000000000000-4400000000000000000000000000000000000000000000000000000000000
χ1198-8-8800-88000008-8000000-444-4000000000008-8000000-444-40000-44000000000000-4400000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-88000008-8000000-444-400000000000-88000000-444-400004-40000000000004-400000000000000000000000000000000000000000000000000000000000
χ1218-8-8800-8800000-880000004-4-440000000008-800000000-444-400004-4000000000000-4400000000000000000000000000000000000000000000000000000000000
χ1228-8-8800-8800000-880000004-4-44000000000-8800000000-444-40000-440000000000004-400000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-8800000-88000000-444-40000000008-8000000004-4-440000-440000000000004-400000000000000000000000000000000000000000000000000000000000
χ1248-8-8800-8800000-88000000-444-4000000000-88000000004-4-4400004-4000000000000-4400000000000000000000000000000000000000000000000000000000000
χ12516-1616-16-1616000000000000000000000000000000008-800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12616-1616-16-161600000000000000000000000000000000-88008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1273232-32-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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