Finite Group Databasebeta

← Group #11792376

Character table — Group #11792376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466121212123666666666121212121212121212126688121224242424242424242424242424242424244444668812121212121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-111-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-2000000000022-2-200000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-220000000000-2-22200000000
χ11222222-122222-1-1-122-122-1-1-1-1-12-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200-1-100-1-1-1-1-1-1000000000000
χ12222222-122222-1-1-122-122-1-1-1-1-12-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2001100111111000000000000
χ13222222-122222-1-1-122-122-1-1-1-1-12-122-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-21111111122-2-200-1-100-1-11111000000000000
χ14222222-122222-1-1-122-122-1-1-1-1-12-122-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-22200110011-1-1-1-1000000000000
χ1522222-122222-1222-1-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-10000
χ1622222-122222-1222-1-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2000000111111110000
χ1722222-122222-1222-1-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100002200-2-2000000-1-1-1-111110000
χ1822222-122222-1222-1-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-200220000001111-1-1-1-10000
χ1922222-12-2-2-2-2-12-2-211-1-1-122-1-1-1-1211-2-2-211111-1-10011000033−3−33333−3−3−3−300002-20000000000-1-11133−3−30000
χ2022222-12-2-2-2-2-12-2-211-1-1-122-1-1-1-1211-2-2-211111-1-10011000033−3−33333−3−3−3−30000-22000000000011-1-1−3−3330000
χ2122222-12-2-2-2-2-12-2-211-1-1-122-1-1-1-1211-2-2-211111-1-100110000−3−333−3−3−3−3333300002-20000000000-1-111−3−3330000
χ2222222-12-2-2-2-2-12-2-211-1-1-122-1-1-1-1211-2-2-211111-1-100110000−3−333−3−3−3−333330000-22000000000011-1-133−3−30000
χ23222-2-22222-2-222-2-2-2-222-22-2222-2-22222-2-2-2-2-2-2-2-200220000000000000000002i−2i000000002i2i−2i−2i000000000000
χ24222-2-22222-2-222-2-2-2-222-22-2222-2-22222-2-2-2-2-2-2-2-20022000000000000000000−2i2i00000000−2i−2i2i2i000000000000
χ25222-2-222-2-22222222222-22-2222-2-2-2-2-2-2222222-2-200-2-20000000000000000000000000000000000000000200-2
χ26222-2-222-2-22222222222-22-2222-2-2-2-2-2-2222222-2-200-2-20000000000000000000000000000000000000000-2002
χ27222-2-22-122-2-22-111-2-2-12-2-11-1-1-1-2122-1-1111-2111100-1-133−3−3000033−3−333−3−3002i−2i00−i3i300−i3i3−i−iii000000000000
χ28222-2-22-122-2-22-111-2-2-12-2-11-1-1-1-2122-1-1111-2111100-1-133−3−3000033−3−333−3−300−2i2i00i3−i300i3−i3ii−i−i000000000000
χ29222-2-22-122-2-22-111-2-2-12-2-11-1-1-1-2122-1-1111-2111100-1-1−3−3330000−3−333−3−333002i−2i00i3−i300i3−i3−i−iii000000000000
χ30222-2-22-122-2-22-111-2-2-12-2-11-1-1-1-2122-1-1111-2111100-1-1−3−3330000−3−333−3−33300−2i2i00−i3i300−i3i3ii−i−i000000000000
χ3122-22-2222-22-22222-2-22-22-2-2-2-22-222-22-2-2-2-22222-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ3222-22-2222-22-22222-2-22-22-2-2-2-22-222-22-2-2-2-22222-2-222-2-22-22-22-22-22-22-22-220000000000000000000000000000
χ3322-22-222-22-2222-2-2222-22-2-2-2-22-22-22-22222-2-2-22-200-220000000000000000000000002-200000000002-22-20000
χ3422-22-222-22-2222-2-2222-22-2-2-2-22-22-22-22222-2-2-22-200-22000000000000000000000000-220000000000-22-220000
χ3522-22-22-12-22-22-1-1-1-2-2-1-221111-1-2-12-2-111112-1-1-112-2-11-11-112-22-2-11-11-11-11000000−i3i300i3−i3−i3i3−i3i3000000000000
χ3622-22-22-12-22-22-1-1-1-2-2-1-221111-1-2-12-2-111112-1-1-112-2-11-11-112-22-2-11-11-11-11000000i3−i300−i3i3i3−i3i3−i3000000000000
χ3722-22-22-12-22-22-1-1-1-2-2-1-221111-1-2-12-2-111112-1-1-11-22-111-11-1-22-221-11-11-11-1000000−i3i300i3−i3i3−i3i3−i3000000000000
χ3822-22-22-12-22-22-1-1-1-2-2-1-221111-1-2-12-2-111112-1-1-11-22-111-11-1-22-221-11-11-11-1000000i3−i300−i3i3−i3i3−i3i3000000000000
χ3922-22-2-122-22-2-122211-11-1-2-211-112-112-2-211-1-1-1-112-2-112-22-2-11-11-11-11-11-1100000000000000003−33−33−3−330000
χ4022-22-2-122-22-2-122211-11-1-2-211-112-112-2-211-1-1-1-112-2-112-22-2-11-11-11-11-11-110000000000000000−33−33−333−30000
χ4122-22-2-122-22-2-122211-11-1-2-211-112-112-2-211-1-1-1-11-22-11-22-221-11-11-11-11-11-100000000000000003−33−3−333−30000
χ4222-22-2-122-22-2-122211-11-1-2-211-112-112-2-211-1-1-1-11-22-11-22-221-11-11-11-11-11-10000000000000000−33−333−3−330000
χ4322-22-2-12-22-22-12-2-2-1-1-11-1-2-211-1121-1-222-1-1111-11001-100003−3−333−33−3−33−33000000002-2000000−333−3-11-110000
χ4422-22-2-12-22-22-12-2-2-1-1-11-1-2-211-1121-1-222-1-1111-11001-100003−3−333−33−3−33−3300000000-220000003−3−331-11-10000
χ4522-22-2-12-22-22-12-2-2-1-1-11-1-2-211-1121-1-222-1-1111-11001-10000−333−3−33−333−33−3000000002-20000003−3−33-11-110000
χ4622-22-2-12-22-22-12-2-2-1-1-11-1-2-211-1121-1-222-1-1111-11001-10000−333−3−33−333−33−300000000-22000000−333−31-11-10000
χ4722-2-22222-2-2222-2-2222-2-2-22-2-222-22-22-2222-2-2-2-22002-200000000000000002-200002200-2-20000000000000000
χ4822-2-22222-2-2222-2-2222-2-2-22-2-222-22-22-2222-2-2-2-22002-20000000000000000-220000-2-200220000000000000000
χ4922-2-2222-222-22222-2-22-2-2-22-2-222-2-22-22-2-2-2222-2200-22000000000000000000000000000000000000000002-20
χ5022-2-2222-222-22222-2-22-2-2-22-2-222-2-22-22-2-2-2222-2200-2200000000000000000000000000000000000000000-220
χ5122-2-222-12-2-222-11122-1-2-21-111-1212-2-11-1-1-1-2111-100-113−3−3300003−3−333−3−332-20000-1-100113−3−33000000000000
χ5222-2-222-12-2-222-11122-1-2-21-111-1212-2-11-1-1-1-2111-100-113−3−3300003−3−333−3−33-2200001100-1-1−333−3000000000000
χ5322-2-222-12-2-222-11122-1-2-21-111-1212-2-11-1-1-1-2111-100-11−333−30000−333−3−333−32-20000-1-10011−333−3000000000000
χ5422-2-222-12-2-222-11122-1-2-21-111-1212-2-11-1-1-1-2111-100-11−333−30000−333−3−333−3-2200001100-1-13−3−33000000000000
χ55444444-2-4-4-4-44-222-4-4-244-2-2-2-2-24-2-4-422222-422-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-222222-1-12-1-11100-1-100002323−23−23−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-222222-1-12-1-11100-1-10000−23−2323233333−3−3−3−30000000000000000000000000000
χ60444-4-44-2-4-4444-2-2-244-24-4-22-2-2-2-42-4-422-2-2-24-2-222002200000000000000000000000000000000000000000000
χ61444-4-4-2444-4-4-24-4-422-2-224-4-2-2-22-4-2-244-4222222200-2-200000000000000000000000000000000000000000000
χ62444-4-4-24-4-444-2444-2-2-2-224-4-2-2-22-422-4-44-2-2-2-2-222002200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-222221-22-2211122-2-2-2-22-1-12-1-1-1-100112323−23−230000−3−333−3−3330000000000000000000000000000
χ64444-4-4-2-244-4-4-2-222221-22-2211122-2-2-2-22-1-12-1-1-1-10011−23−232323000033−3−333−3−30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-2-2-2-2-21-22-22111222222-211-211-1-100-1-10000000033-3-3-3-3330000000000000000000000000000
χ66444-4-4-2-2-4-444-2-2-2-2-2-21-22-22111222222-211-211-1-100-1-100000000-3-33333-3-30000000000000000000000000000
χ6744-44-44-2-44-444-22244-2-442222-2-4-2-442-2-2-2-2-422-22002-200000000000000000000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-22212-222-1-112-2-22-222-1-1-2111-14-41-1-22-22-22-221-11-11-11-10000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-22212-222-1-112-2-22-222-1-1-2111-1-441-12-22-22-22-2-11-11-11-110000000000000000000000000000
χ7044-44-4-2-2-44-44-2-222-2-212-222-1-112-22-22-2-2112-1-11-100-11000023−23−2323−33−333−33−30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-222-2-212-222-1-112-22-22-2-2112-1-11-100-110000−232323−233−33−3−33−330000000000000000000000000000
χ7244-4-444-2-444-44-2-2-2-4-4-2-4-42-222-242-442-22224-2-22-2002-200000000000000000000000000000000000000000000
χ7344-4-44-244-4-44-24-4-4-2-2-222-4422-2-2-4-224-44-2-22222-200-2200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-244422-222-4422-2-2-42-2-44-422-2-2-22-2002-200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-222-2-21222-2-1-11-22-22-22-2112-1-1-11001-123−23−23230000−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-222-2-21222-2-1-11-22-22-22-2112-1-1-11001-1−232323−2300003−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-2-2-2221222-2-1-11-222-22-22-1-1-211-1100-11000000003-3-33-333-30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-2-2-2221222-2-1-11-222-22-22-1-1-211-1100-1100000000-333-33-3-330000000000000000000000000000
χ798-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8443−4300-40000004000000000043−4300000000000000000000000000000000000000000000000000
χ818-80008-40000-84−434300-400000040000000000−434300000000000000000000000000000000000000000000000000
χ828-8000-4800004-80043−43-40000004000000043−4300000000000000000000000000000000000000000000000000000
χ838-8000-4800004-800−4343-400000040000000−434300000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200006-6-20000000−23230−232300000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−434320000-66-2000000023−230−232300000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−4320000-66-20000000−2323023−2300000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200006-6-2000000023−23023−2300000000000000000000000000000000000000000000000000

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