Finite Group Databasebeta

← Group #72282685

Character table — Group #72282685

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222224444444444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464
order12222222224422222222222244444442222222222222244444444444422222222224444444444444444444244444444444444488888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1111111-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-111
χ911111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1
χ1111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1211111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ1311111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-111
χ1411111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1
χ1511111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1
χ1611111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11111-1-1-1-11111-111-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ171111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-111-1-111-1-1-11-1-11111-1-1111-111-1-111-1-11-1-11-11-111-1-11-11-111-1-11-11-11-11-11-11-111-1-11-11-11-11-111-1-111-1-11-11-1
χ181111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-111-1-111-1-1-11-1-11111-1-1111-111-1-111-1-11-1-11-11-111-1-11-11-111-1-1-11-11-111-1-111-111-1-1-11-11-11-11-1-111-1-111-11-11
χ191111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-111-1-1-1-111-11-1-111-1-111111-111-1-1-1-111-11-1-111-1-1-1111-11-1-1-1111-11-11-11-11-1-11-1-1111-11-11-11-1-1-111-1-111-11-11
χ201111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-111-1-1-1-111-11-1-111-1-111111-111-1-1-1-111-11-1-111-1-1-1111-11-1-1-111-11-11-111-1-11-11-1-111-11-11-11-1111-1-111-1-11-11-1
χ211111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-11111-1-11-111-11-111-1-1-11-11-1-11111-1-1-11-111-1-11-1-1111-1-111-1-1111-1-1-1-111-111-1
χ221111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-11111-1-11-111-11-111-1-1-11-11-1-111-1-1111-1-11-11-11-1-111-111-1-111-1-1-11111-1-11-1-11
χ231111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-1-1-111-1-111-11-1-1-1-1-1-111111-1-1-111-1-111-111-111-1-1-111-11-1111-1-111-1-1-11-111-11-111-1-11-1-111-1-11-1-11111-1-11-1-11
χ241111-1-1-1-111111-1-1-1-111-1-1111-1-11-1-111111-1-1-1-1-111-1-111-11-1-1-1-1-1-111111-1-1-111-1-111-111-111-1-1-111-11-1111-1-1-1-1111-1-11-111-111-1-1-111-1-111-111-1-1-1-111-111-1
χ251111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-111111-1-111-1-1-11-1-11111-1-111-11-1-111-1-1111-1-11-1-11-1-1111-11-111-1-11-11-11-1-111-11-1-1-111-11-11-11-11-1-111-1-1111-11-1
χ261111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-111111-1-111-1-1-11-1-11111-1-111-11-1-111-1-1111-1-11-1-11-1-1111-11-111-1-1-11-11-11-11-111-1-1-1111-11-11-11-111-1-111-1-1-11-11
χ271111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-111111-1-1-1-111-11-1-111-1-11111-11-1-11111-1-1-11-1-11-1111-1-11-11-1-1-1111-11-11-1-111-1-1111-1-1-11-11-11-1111-1-111-1-1-11-11
χ281111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-111111-1-1-1-111-11-1-111-1-11111-11-1-11111-1-1-11-1-11-1111-1-11-11-1-1-111-11-11-11-11-11-1111-1-11-11-11-11-1-1-111-1-1111-11-1
χ291111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-1111-1-11111-1-1-11-1-1-1-111-1-111-1111-1-1-1-1111-111-1-11-1-111-11-11-1-11111-1-1-111-11-1-1111-1-1-111-1-111-1-1-11111-1-1-111-1
χ301111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-1111-1-11111-1-1-11-1-1-1-111-1-111-1111-1-1-1-1111-111-1-11-1-111-11-11-1-111-1-1111-11-1-11-1111-1-11-1-111-1-1111-1-1-1-1111-1-11
χ311111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-1111-1-111-1-111-11-1-1-1-1-1-11111-1111-1-111-1-1-111-11-1111-1-1-11-1111-1-111-1-1-111-11-11-1-1-111-111-1-111-111-1-1-1-1111-1-11
χ321111-1-1-1-111111-1-1-1-1-1-111111-1-11-1-111-1-1-1111-1-111-1-111-11-1-1-1-1-1-11111-1111-1-111-1-1-111-11-1111-1-1-11-1111-1-1-1-1111-11-1-111-1-1-1111-1-111-1-11-1-11111-1-1-111-1
χ33222222222222222-2-22222-22-222-2-2-22-22-2-22-2-200000000-2-22-2000000-22220000000000000-2-20000000000000220-2-20000000000002200-2-2000000000000
χ34222222222222222-2-22222-22-222-2-2-22-22-2-22-2-200000000-2-22-2000000-22220000000000000-2-20000000000000-2-2022000000000000-2-20022000000000000
χ35222222222222222-2-2-2-2-2-2-22-222-2-2-22-2-222-22200000000-2-22-2000000-22-2-20000000000000220000000000000220-2-2000000000000-2-20022000000000000
χ36222222222222222-2-2-2-2-2-2-22-222-2-2-22-2-222-22200000000-2-22-2000000-22-2-20000000000000220000000000000-2-20220000000000002200-2-2000000000000
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χ38222222222222-2-2-22222222-2222-2-2-22-2222222-2-2-2-20000-22-22-2-20000-2-2-2-2-2-2-2-2000000-200-2-2000022220000000000220000000000000000000000000000
χ39222222222222-2-2-222-2-2-2-22-2222-2-2-22-2-2-2-2-2-2-222220000-22-22220000-2-222-2-2-2-2000000200220000-2-2-2-20000000000220000000000000000000000000000
χ40222222222222-2-2-222-2-2-2-22-2222-2-2-22-2-2-2-2-2-2-2-2-2-2-20000-22-22-2-20000-2-2222222000000-20022000022220000000000-2-20000000000000000000000000000
χ41222222222222-2-2-2-2-22222-2-2-222222222-2-22-2-2000000002-2-2-20000002-2-2-200000000000002200000000000020020000-2-20000002200-2-200000000000000
χ42222222222222-2-2-2-2-22222-2-2-222222222-2-22-2-2000000002-2-2-20000002-2-2-2000000000000022000000000000-200-2000022000000-2-2002200000000000000
χ43222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-222-222000000002-2-2-20000002-2220000000000000-2-200000000000020020000-2-2000000-2-2002200000000000000
χ44222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-222-222000000002-2-2-20000002-2220000000000000-2-2000000000000-200-20000220000002200-2-200000000000000
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χ572222-2-2-2-22222-2222222-2-2-2-2-2-2-22-2-2222-2-2-22200000000-2-2220000002-2-2200000000000002-2000000000000200-20000-220000002-200-2200000000000000
χ582222-2-2-2-22222-2222222-2-2-2-2-2-2-22-2-2222-2-2-22200000000-2-2220000002-2-2200000000000002-2000000000000-200200002-2000000-22002-200000000000000
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χ924444-4-4-4-444-4-4-444440000-4-4-4444-4-4-440000000000000044-4-4000000-4400000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-44-4-440044-44-400004-4-40044-40-4000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000
χ944-4-444-44-4-440044-44-400004-4-40044-40-400000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000
χ954-4-444-44-4-440044-4-440000-4-4400-4-440400000000004-44-40000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-44-4-440044-4-440000-4-4400-4-44040000000000-44-44000000-44-440000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-4400-4-444-4000044-400-4-4404000000000000000000000000000000000000000000000000000000000000000000000000000000022−2222−2200000000
χ984-4-444-44-4-4400-4-444-4000044-400-4-44040000000000000000000000000000000000000000000000000000000000000000000000000000000−2222−222200000000
χ994-4-444-44-4-4400-4-44-440000-4440044-40-40000000000000000000000000000000000000000000000000004-44-4000000000000000000000000000000000000
χ1004-4-444-44-4-4400-4-44-440000-4440044-40-4000000000000000000000000000000000000000000000000000-44-44000000000000000000000000000000000000
χ1014-4-44-44-44-44004-444-40000-4-4400-44-40400000000004-4-440000004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-44004-444-40000-4-4400-44-4040000000000-444-4000000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-44-44004-44-4400004-4-4004-440-4000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000
χ1044-4-44-44-44-44004-44-4400004-4-4004-440-400000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000
χ1054-4-44-44-44-4400-44-44-40000-444004-440-40000000000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ1064-4-44-44-44-4400-44-44-40000-444004-440-4000000000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000
χ1074-4-44-44-44-4400-44-4-44000044-400-44-404000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ1084-4-44-44-44-4400-44-4-44000044-400-44-4040000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ1098-88-80000008-800000008-800000000000000004-400000000004-400000000004-400000000000000000000000000000000000000000000000000000000000
χ1108-88-80000008-800000008-80000000000000000-440000000000-440000000000-4400000000000000000000000000000000000000000000000000000000000
χ1118-88-80000008-80000000-8800000000000000004-400000000004-40000000000-4400000000000000000000000000000000000000000000000000000000000
χ1128-88-80000008-80000000-880000000000000000-440000000000-4400000000004-400000000000000000000000000000000000000000000000000000000000
χ1138-88-8000000-88000008-80000000000000000004-40000000000-44000000004-40000000000000000000000000000000000000000000000000000000000000
χ1148-88-8000000-88000008-8000000000000000000-4400000000004-400000000-440000000000000000000000000000000000000000000000000000000000000
χ1158-88-8000000-8800000-880000000000000000004-40000000000-4400000000-440000000000000000000000000000000000000000000000000000000000000
χ1168-88-8000000-8800000-88000000000000000000-4400000000004-4000000004-40000000000000000000000000000000000000000000000000000000000000
χ1178-8-888-8-888-800000000000000000000000000000004-44-4000000-44-440000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-888-8-888-80000000000000000000000000000000-44-440000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-888-88-800000000000000000000000000000004-4-44000000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-888-88-80000000000000000000000000000000-444-40000004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ1211616-16-16000000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1221616-16-1600000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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