Finite Group Databasebeta

← Group #72218363

Character table — Group #72218363

Order 6144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11113333666666668824242424242424242424242424242424242432323232969696969696969696969696969696969696969696969696969696969696969696969696128128128128128128128128128128128128128128128128
order122222224444444444448888888888888888444422224444444488888888161616161616161616161616161616163666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ3111111111111111111111111111111111111-1-1-1-1-1-11-11-11-1-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-11-11-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-11-11-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-111-11-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ92222222222222222222222222222222222222222220000002200000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10222222222222222222222222222222222222-2-2-2-2-2-2000000-2-200000000000000000000000000-1-1-1-1-1-1-1-111111111
χ112222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-222000000-2-200000000000000000000000000-1-1-1-11111-1-1-1-11111
χ122222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-20000002200000000000000000000000000-1-1-1-111111111-1-1-1-1
χ132-22-22-22-2-2-22222-2-22i−2i2i−2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000000000000000000000000022-2-22i2i−2i−2i00000000
χ142-22-22-22-2-2-22222-2-22i−2i2i−2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-20000000000000000000000000000000000000000-1-111−i−iii−i3−i3i3i333−3−3
χ152-22-22-22-2-2-22222-2-22i−2i2i−2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-20000000000000000000000000000000000000000-1-111−i−iiii3i3−i3−i3−3−333
χ162-22-22-22-2-2-22222-2-2−2i2i−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-2000000000000000000000000000000000000000022-2-2−2i−2i2i2i00000000
χ172-22-22-22-2-2-22222-2-2−2i2i−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000000000000000000000000000-1-111ii−i−i−i3−i3i3i3−3−333
χ182-22-22-22-2-2-22222-2-2−2i2i−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000000000000000000000000000-1-111ii−i−ii3i3−i3−i333−3−3
χ1933333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2033333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ2133333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3111-11-11-1111-111-1-111-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ2233333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-311-11-11-1111-11-1-111-1-11111111111-1-1-1-1-1-1-1-10000000000000000
χ233333333333333333-3-3-3-3-1-1-1-111111111-1-1-1-133-3-3-1-11-1-11-11111-111-1-1-1-111-1-1-1-11111-1-1-1-111110000000000000000
χ243333333333333333-3-3-3-3-1-1-1-111111111-1-1-1-133-3-3-1-1-111-11-111-11-1-11111-1-11111-1-1-1-11111-1-1-1-10000000000000000
χ253333333333333333-3-3-3-3-1-1-1-111111111-1-1-1-1-3-3331111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ263333333333333333-3-3-3-3-1-1-1-111111111-1-1-1-1-3-33311-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111110000000000000000
χ2744-4-4-4-44444-4-444-4-4000000000000000000004i−4i000000000000000000000000000000000000001-11-1−i3i3−i3i3i−ii−i3−33−3
χ2844-4-4-4-44444-4-444-4-4000000000000000000004i−4i000000000000000000000000000000000000001-11-1i3−i3i3−i3i−ii−i−33−33
χ2944-4-4-4-44444-4-444-4-4000000000000000000004i−4i00000000000000000000000000000000000000-22-220000−2i2i−2i2i0000
χ3044-4-4-4-44444-4-444-4-400000000000000000000−4i4i000000000000000000000000000000000000001-11-1−i3i3−i3i3−ii−ii−33−33
χ3144-4-4-4-44444-4-444-4-400000000000000000000−4i4i000000000000000000000000000000000000001-11-1i3−i3i3−i3−ii−ii3−33−3
χ3244-4-4-4-44444-4-444-4-400000000000000000000−4i4i00000000000000000000000000000000000000-22-2200002i−2i2i−2i0000
χ334-4-44-444-4-4-4-4-4444400000000000000000000004-40000000000000000000000000000000000001-1-113−3−333−3−33-111-1
χ344-4-44-444-4-4-4-4-4444400000000000000000000004-40000000000000000000000000000000000001-1-11−333−3−333−3-111-1
χ354-4-44-444-4-4-4-4-4444400000000000000000000004-4000000000000000000000000000000000000-222-2000000002-2-22
χ364-4-44-444-4-4-4-4-444440000000000000000000000-440000000000000000000000000000000000001-1-113−3−33−333−31-1-11
χ374-4-44-444-4-4-4-4-444440000000000000000000000-440000000000000000000000000000000000001-1-11−333−33−3−331-1-11
χ384-4-44-444-4-4-4-4-444440000000000000000000000-44000000000000000000000000000000000000-222-200000000-222-2
χ3966666666-2-2-2-2-2-2-2-266-2-22-22-222-2-222-2-22-22-2000000020202000200-2-200-2-200000000000000000000000000000000
χ4066666666-2-2-2-2-2-2-2-266-2-22-22-222-2-222-2-22-22-20000000-20-20-2000-20022002200000000000000000000000000000000
χ4166666666-2-2-2-2-2-2-2-266-2-2-22-22-2-222-2-222-22-220000002020200020-2-200-2-20000000000000000000000000000000000
χ4266666666-2-2-2-2-2-2-2-266-2-2-22-22-2-222-2-222-22-22000000-20-20-2000-202200220000000000000000000000000000000000
χ4366666666-2-2-2-2-2-2-2-2-6-6222-22-2-2-222-2-2222-22-2000000020-20-2000200-2-2002200000000000000000000000000000000
χ4466666666-2-2-2-2-2-2-2-2-6-6222-22-2-2-222-2-2222-22-20000000-20202000-2002200-2-200000000000000000000000000000000
χ4566666666-2-2-2-2-2-2-2-2-6-622-22-2222-2-222-2-2-22-2200000020-20-200020-2-200220000000000000000000000000000000000
χ4666666666-2-2-2-2-2-2-2-2-6-622-22-2222-2-222-2-2-22-22000000-20202000-202200-2-20000000000000000000000000000000000
χ476-66-66-66-622-2-2-2-2226i−6i−2i2i2-2-222i2i−2i−2i−2i−2i2i2i2-2-220000000000000000000000000000000022-2-22i2i−2i−2i0000000000000000
χ486-66-66-66-622-2-2-2-2226i−6i−2i2i2-2-222i2i−2i−2i−2i−2i2i2i2-2-2200000000000000000000000000000000-2-222−2i−2i2i2i0000000000000000
χ496-66-66-66-622-2-2-2-2226i−6i−2i2i-222-2−2i−2i2i2i2i2i−2i−2i-222-20000000000000000000000002i2i−2i−2i22-2-2000000000000000000000000
χ506-66-66-66-622-2-2-2-2226i−6i−2i2i-222-2−2i−2i2i2i2i2i−2i−2i-222-2000000000000000000000000−2i−2i2i2i-2-222000000000000000000000000
χ516-66-66-66-622-2-2-2-222−6i6i2i−2i2-2-22−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000000000000000000022-2-2−2i−2i2i2i0000000000000000
χ526-66-66-66-622-2-2-2-222−6i6i2i−2i2-2-22−2i−2i2i2i2i2i−2i−2i2-2-2200000000000000000000000000000000-2-2222i2i−2i−2i0000000000000000
χ536-66-66-66-622-2-2-2-222−6i6i2i−2i-222-22i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000002i2i−2i−2i-2-222000000000000000000000000
χ546-66-66-66-622-2-2-2-222−6i6i2i−2i-222-22i2i−2i−2i−2i−2i2i2i-222-2000000000000000000000000−2i−2i2i2i22-2-2000000000000000000000000
χ556-66-66-66-6-6-66666-6-66i−6i6i−6i-2-222−2i−2i−2i−2i2i2i2i2i-2-22200000000000000000000000000000000000000000000000000000000
χ566-66-66-66-6-6-66666-6-6−6i6i−6i6i-2-2222i2i2i2i−2i−2i−2i−2i-2-22200000000000000000000000000000000000000000000000000000000
χ5712121212-4-4-4-44-44-44-44-40000040-4000000000-40400000040000000-400000000000000000000000000000000000000000
χ5812121212-4-4-4-44-44-44-44-40000040-4000000000-404000000-40000000400000000000000000000000000000000000000000
χ5912121212-4-4-4-44-44-44-44-400000-40400000000040-40000000040-4000000000000000000000000000000000000000000000
χ6012121212-4-4-4-44-44-44-44-400000-40400000000040-400000000-404000000000000000000000000000000000000000000000
χ6112121212-4-4-4-4-44-44-44-44000040-4000000000-4040000000040000000-40000000000000000000000000000000000000000
χ6212121212-4-4-4-4-44-44-44-44000040-4000000000-40400000000-4000000040000000000000000000000000000000000000000
χ6312121212-4-4-4-4-44-44-44-440000-40400000000040-4000000000040-400000000000000000000000000000000000000000000
χ6412121212-4-4-4-4-44-44-44-440000-40400000000040-40000000000-40400000000000000000000000000000000000000000000
χ651212-12-1244-4-44-4-444-4-4400000000004i−4i004i−4i00000000000000000000000000002i−2i2i−2i2-22-2000000000000000000000000
χ661212-12-1244-4-44-4-444-4-4400000000004i−4i004i−4i0000000000000000000000000000−2i2i−2i2i-22-22000000000000000000000000
χ671212-12-1244-4-44-4-444-4-440000000000−4i4i00−4i4i00000000000000000000000000002i−2i2i−2i-22-22000000000000000000000000
χ681212-12-1244-4-44-4-444-4-440000000000−4i4i00−4i4i0000000000000000000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ691212-12-1244-4-4-444-4-444-4000000004i−4i004i−4i000000000000000000000000000000000000002-22-22i−2i2i−2i0000000000000000
χ701212-12-1244-4-4-444-4-444-4000000004i−4i004i−4i00000000000000000000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ711212-12-1244-4-4-444-4-444-400000000−4i4i00−4i4i000000000000000000000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ721212-12-1244-4-4-444-4-444-400000000−4i4i00−4i4i00000000000000000000000000000000000000-22-222i−2i2i−2i0000000000000000
χ731212-12-12-12-121212-4-444-4-444000000000000000000000000000000004-4000000000000000000000000000000000000000000
χ741212-12-12-12-121212-4-444-4-44400000000000000000000000000000000-44000000000000000000000000000000000000000000
χ7512-1212-12-44-444-4-44-444-40000404000000000-40-400000000000000000004i−4i000000000000000000000000000000000000
χ7612-1212-12-44-444-4-44-444-40000404000000000-40-40000000000000000000−4i4i000000000000000000000000000000000000
χ7712-1212-12-44-444-4-44-444-40000-40-4000000000404000000000000000000000004-400000000000000000000000000000000
χ7812-1212-12-44-444-4-44-444-40000-40-400000000040400000000000000000000000-4400000000000000000000000000000000
χ7912-1212-12-44-44-444-44-4-4400000404000000000-40-400000000000000004i−4i00000000000000000000000000000000000000
χ8012-1212-12-44-44-444-44-4-4400000404000000000-40-40000000000000000−4i4i00000000000000000000000000000000000000
χ8112-1212-12-44-44-444-44-4-4400000-40-4000000000404000000000000000000004-40000000000000000000000000000000000
χ8212-1212-12-44-44-444-44-4-4400000-40-400000000040400000000000000000000-440000000000000000000000000000000000
χ8312-12-12124-4-444-44-4-44-44000000004-400-44000000000000000000000000000000000000002-2-222-2-220000000000000000
χ8412-12-12124-4-444-44-4-44-44000000004-400-4400000000000000000000000000000000000000-222-2-222-20000000000000000
χ8512-12-12124-4-444-44-4-44-4400000000-44004-4000000000000000000000000000000000000002-2-22-222-20000000000000000
χ8612-12-12124-4-444-44-4-44-4400000000-44004-400000000000000000000000000000000000000-222-22-2-220000000000000000
χ8712-12-12124-4-44-44-444-44-400000000004-400-4400000000000000000000000000002-2-222-2-22000000000000000000000000
χ8812-12-12124-4-44-44-444-44-400000000004-400-440000000000000000000000000000-222-2-222-2000000000000000000000000
χ8912-12-12124-4-44-44-444-44-40000000000-44004-400000000000000000000000000002-2-22-222-2000000000000000000000000
χ9012-12-12124-4-44-44-444-44-40000000000-44004-40000000000000000000000000000-222-22-2-22000000000000000000000000
χ9112-12-1212-121212-124444-4-4-4-40000000000000000000000004-400000000000000000000000000000000000000000000000000
χ9212-12-1212-121212-124444-4-4-4-4000000000000000000000000-4400000000000000000000000000000000000000000000000000

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