Finite Group Databasebeta

← Group #72231600

Character table — Group #72231600

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1122222224444444444448888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161624242424323232323232323232324848484848484848646464646496969696969696192192
order1222236662222226666662222222244446666666666222444444444666666666661212121212121212121212121212121212122244444412121212121222444444412121212444444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111111111111111111-11111111-1-11111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-11-1-11111-1-1
χ41111111111111111111111111-1-1111111111111111111-11111111-1-11111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1-1-111
χ511111111111111111111111-1-11111111111-1-1-1-11111-1-11-111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-111-1-1111-1-1-1-1-1-1
χ611111111111111111111111-1-11111111111-1-1-1-11111-1-11-111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ711111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-111-1-11-1-1111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1111-1-111-1111111-1-1
χ9111111111111111111111-1-11111111-1-1111111111111-11-1-1-111-1-1111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-11-111111-1-1-1-1-1-1-1-111-1-11-1
χ10111111111111111111111-1-11111111-1-1111111111111-11-1-1-111-1-1111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1-1-1-1-1-1-1-1-1-1111-1-111-11
χ11111111111111111111111-1-111-1-1111-1-1111111111111-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-1-11
χ12111111111111111111111-1-111-1-1111-1-1111111111111-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1111-1
χ13111111111111111111111-1-1-1-111111-1-1111-1-1-1-11111-1111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-1111111-1-111-1-1-1-1-111-11
χ14111111111111111111111-1-1-1-111111-1-1111-1-1-1-11111-1111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1-11-1-11111111-1-11-1
χ15111111111111111111111-1-1-1-1-1-1111-1-1111-1-1-1-11111-11-11-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-111-1-1-111-1-1111-1
χ16111111111111111111111-1-1-1-1-1-1111-1-1111-1-1-1-11111-11-11-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-111-111-1-11-1-111-1-1-11
χ172222222222222-2-22222222-200222-2-22-2-2-2-20000222200202-20000-2-2-22-200002222-2-2222-2-2-200000000000000002-2-2-200000000000002-200000000000
χ182222222222222-2-22222222-200-2-22-2-22-2-2-2-20000222200-202-2000022-22-20000-2-2-2-2-2-2222-2-2-20000000000000000-22220000000000000-2200000000000
χ192222222222222-2-2222222-2200222-2-2-22-2-2-2000022220020-220000-2-2-2-2200002222-2-2-2-2-22220000000000000000-22-2-20000000000000-2200000000000
χ202222222222222-2-2222222-2200-2-22-2-2-22-2-2-20000222200-20-22000022-2-220000-2-2-2-2-2-2-2-2-222200000000000000002-22200000000000002-200000000000
χ2122222222222-2-222222222002200-22-200-2222222-2-2-2-2200000-2-2000020022000000-2-2000000-2-2-2-20000002-22-2000000000000002-200000000002-20000
χ2222222222222-2-222222222002200-22-200-2222222-2-2-2-2200000-2-2000020022000000-2-2000000-2-2-2-2000000-22-2200000000000000-220000000000-220000
χ2322222222222-2-22222222200-2-200-22-200-222-2-2-2-2-2-2-2-2-200000220000200-2-2000000-2-200000022220000002-22-2000000000000002-20000000000-220000
χ2422222222222-2-22222222200-2-200-22-200-222-2-2-2-2-2-2-2-2-200000220000200-2-2000000-2-20000002222000000-22-2200000000000000-2200000000002-20000
χ25222222222-2-222222-2-22-2-2220000-2-2222-222000022-2-20000-2-2000000-222000000002-22-2-22-2-20000000000222200000000002020-2-20000000-200000000
χ26222222222-2-222222-2-22-2-2220000-2-2222-222000022-2-20000-2-2000000-222000000002-22-2-22-2-20000000000-2-2-2-20000000000-20-20220000000200000000
χ27222222222-2-222222-2-22-2-2-2-20000-2-22-2-2-222000022-2-2000022000000-2-2-2000000002-2-222-222000000000022220000000000-20-20-2-20000000200000000
χ28222222222-2-222222-2-22-2-2-2-20000-2-22-2-2-222000022-2-2000022000000-2-2-2000000002-2-222-2220000000000-2-2-2-200000000002020220000000-200000000
χ29222222222-2-222-2-22-2-22-2-22-20000-22-22-22-2-2000022-2-20000-2200000022-200000000-222-2-2-222000000000000000000000000020200-2-20000002-2000000
χ30222222222-2-222-2-22-2-22-2-22-20000-22-22-22-2-2000022-2-20000-2200000022-200000000-222-2-2-2220000000000000000000000000-20-20022000000-22000000
χ31222222222-2-222-2-22-2-22-2-2-220000-22-2-222-2-2000022-2-200002-20000002-2200000000-22-2222-2-2000000000000000000000000020200-2-2000000-22000000
χ32222222222-2-222-2-22-2-22-2-2-220000-22-2-222-2-2000022-2-200002-20000002-2200000000-22-2222-2-20000000000000000000000000-20-200220000002-2000000
χ33222222222-2-2-2-2222-2-22-2-20000002-2-2002220000-2-22202020000-2-200-20000220000-22000000000022-2-2-2-22-22-200000000000000-220000000000002-200
χ34222222222-2-2-2-2222-2-22-2-20000002-2-2002220000-2-22202020000-2-200-20000220000-22000000000022-2-2-2-2-22-22000000000000002-2000000000000-2200
χ35222222222-2-2-2-2222-2-22-2-20000002-2-2002220000-2-2220-20-200002200-20000-2-20000-220000000000-2-222222-22-200000000000000-22000000000000-2200
χ36222222222-2-2-2-2222-2-22-2-20000002-2-2002220000-2-2220-20-200002200-20000-2-20000-220000000000-2-22222-22-22000000000000002-20000000000002-200
χ3722222-1-1-1-1222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1000000002-1-1-1-1000000000
χ3822222-1-1-1-1222222-1-1-1-1-1-12222-2-2222222-1-1-1-1-1-1-1-1-1-122-22222222-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-211111100000000-21111000000000
χ3922222-1-1-1-1222222-1-1-1-1-1-122-2-222222222-1-11111-1-1-1-1-2-22-222-2-2-2-222-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111110000-2-222-1-1111100000000-2-1-111000000000
χ4022222-1-1-1-1222222-1-1-1-1-1-122-2-2-2-2222222-1-11111-1-1-1-1-2-2-2-222-2-2-2-2-2-2-1-1-111111111-1-1-1-1-1-1-1-11111111111000022-2-211-1-1-1-100000000211-1-1000000000
χ4122222-1-1-1-1222222-1-1-1-1-1-1-2-22222222-2-22-1-1-1-1-1-1-1-1-1-12-22-2-2-222-2-222-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111000022-2-2-1-1-1-1-1-100000000-21111000000000
χ4222222-1-1-1-1222222-1-1-1-1-1-1-2-222-2-2222-2-22-1-1-1-1-1-1-1-1-1-12-2-2-2-2-222-2-2-2-2-111-1-1111111-1-1111111-1-1-1-11111110000-2-222111111000000002-1-1-1-1000000000
χ4322222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-222222-2-22-1-11111-1-1-1-1-2222-2-2-2-22222-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-10000-2-2-2-2-1-1111100000000211-1-1000000000
χ4422222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2222-2-22-1-11111-1-1-1-1-22-22-2-2-2-222-2-2-11111-1-11111-1-11111111111-1-1-1-1-1-10000222211-1-1-1-100000000-2-1-111000000000
χ4522222-1-1-1-12222-2-2-1-1-1-1-1-12-200222-2-22-2-211i3i3−i3−i3-1-1-1-100202-20000-2-21-11i3−i3i3−i3-1-1-1-111-1-1-1111i3i3−i3−i3i3−i3i3i3−i3−i30000002-211i3i3−i3−i3000000000-11i3−i3000000000
χ4622222-1-1-1-12222-2-2-1-1-1-1-1-12-200222-2-22-2-211−i3−i3i3i3-1-1-1-100202-20000-2-21-11−i3i3−i3i3-1-1-1-111-1-1-1111−i3−i3i3i3−i3i3−i3−i3i3i30000002-211−i3−i3i3i3000000000-11−i3i3000000000
χ4722222-1-1-1-12222-2-2-1-1-1-1-1-12-200-2-22-2-22-2-211i3i3−i3−i3-1-1-1-100-202-20000221-11i3−i3i3−i3111111-1-1-1111i3i3−i3−i3i3−i3i3i3−i3−i3000000-22-1-1−i3−i3i3i30000000001-1−i3i3000000000
χ4822222-1-1-1-12222-2-2-1-1-1-1-1-12-200-2-22-2-22-2-211−i3−i3i3i3-1-1-1-100-202-20000221-11−i3i3−i3i3111111-1-1-1111−i3−i3i3i3−i3i3−i3−i3i3i3000000-22-1-1i3i3−i3−i30000000001-1i3−i3000000000
χ4922222-1-1-1-12222-2-2-1-1-1-1-1-1-2200222-2-2-22-211i3i3−i3−i3-1-1-1-10020-220000-2-211-1i3−i3−i3i3-1-1-1-111111-1-1-1i3i3−i3−i3−i3i3−i3−i3i3i3000000-2211i3i3−i3−i30000000001-1−i3i3000000000
χ5022222-1-1-1-12222-2-2-1-1-1-1-1-1-2200222-2-2-22-211−i3−i3i3i3-1-1-1-10020-220000-2-211-1−i3i3i3−i3-1-1-1-111111-1-1-1−i3−i3i3i3i3−i3i3i3−i3−i3000000-2211−i3−i3i3i30000000001-1i3−i3000000000
χ5122222-1-1-1-12222-2-2-1-1-1-1-1-1-2200-2-22-2-2-22-211i3i3−i3−i3-1-1-1-100-20-2200002211-1i3−i3−i3i3111111111-1-1-1i3i3−i3−i3−i3i3−i3−i3i3i30000002-2-1-1−i3−i3i3i3000000000-11i3−i3000000000
χ5222222-1-1-1-12222-2-2-1-1-1-1-1-1-2200-2-22-2-2-22-211−i3−i3i3i3-1-1-1-100-20-2200002211-1−i3i3i3−i3111111111-1-1-1−i3−i3i3i3i3−i3i3i3−i3−i30000002-2-1-1i3i3−i3−i3000000000-11−i3i3000000000
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χ11916-16000-888i3−8i38-800000−4+4i3−4−4i304−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-16000-88−8i38i38-800000−4−4i3−4+4i304+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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