Finite Group Databasebeta

← Group #11792375

Character table — Group #11792375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212126688121224242424242424242424242424242424244444668812121212121212121212242424242444
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-2000000000022-2-200000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-220000000000-2-22200000000
χ11222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100-1-1-1-1-1-1000000000000
χ12222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2001100111111000000000000
χ13222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122-2-200-1-100-1-11111000000000000
χ14222222-12222-1-12-122-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-22200110011-1-1-1-1000000000000
χ1522222-12222222-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-10000
χ1622222-12222222-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200-2-2000000111111110000
χ1722222-12222222-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-21111111100002200-2-2000000-1-1-1-111110000
χ1822222-12222222-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-200220000001111-1-1-1-10000
χ1922222-12-2-2-2-222-1211-1-1-122-1-1-1-111-2-2-2111-211-1-1001133−3−300003333−3−3−3−300002-20000000000-1-11133−3−30000
χ2022222-12-2-2-2-222-1211-1-1-122-1-1-1-111-2-2-2111-211-1-1001133−3−300003333−3−3−3−30000-22000000000011-1-1−3−3330000
χ2122222-12-2-2-2-222-1211-1-1-122-1-1-1-111-2-2-2111-211-1-10011−3−3330000−3−3−3−3333300002-20000000000-1-111−3−3330000
χ2222222-12-2-2-2-222-1211-1-1-122-1-1-1-111-2-2-2111-211-1-10011−3−3330000−3−3−3−333330000-22000000000011-1-133−3−30000
χ23222-2-22222-2-22222-2-222-2-2-2222-22222-2-2-2-2-2-2-2-2-200220000000000000000000000000000000000000000002i−2i
χ24222-2-22222-2-22222-2-222-2-2-2222-22222-2-2-2-2-2-2-2-2-20022000000000000000000000000000000000000000000−2i2i
χ25222-2-222-2-22222222222-2-2-2222-2-2-2-2-22222222-2-200-2-200000000000000002-200002200-2-20000000000000000
χ26222-2-222-2-22222222222-2-2-2222-2-2-2-2-22222222-2-200-2-20000000000000000-220000-2-200220000000000000000
χ27222-2-22-1-2-222-1-12-122-12-211-1-1-1-2-2-211-1-1-12-1-1-11100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-20000-1-10011−i3−i3i3i3000000000000
χ28222-2-22-1-2-222-1-12-122-12-211-1-1-1-2-2-211-1-1-12-1-1-11100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2200001100-1-1i3i3−i3−i3000000000000
χ29222-2-22-1-2-222-1-12-122-12-211-1-1-1-2-2-211-1-1-12-1-1-11100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-20000-1-10011i3i3−i3−i3000000000000
χ30222-2-22-1-2-222-1-12-122-12-211-1-1-1-2-2-211-1-1-12-1-1-11100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2200001100-1-1−i3−i3i3i3000000000000
χ3122-22-2222-22-2-2-222-2-22-2-22-2-2-2222-22-2-2-2-222222-2002-20000000000000000002-2000000002-22-2000000000000
χ3222-22-2222-22-2-2-222-2-22-2-22-2-2-2222-22-2-2-2-222222-2002-2000000000000000000-2200000000-22-22000000000000
χ3322-22-222-22-22-2-222222-2-22-2-2-222-22-22222-2-2-2-22-200-2200000000000000000000000000000000000000002-200
χ3422-22-222-22-22-2-222222-2-22-2-2-222-22-22222-2-2-2-22-200-220000000000000000000000000000000000000000-2200
χ3522-22-22-12-22-2112-1-2-2-1-2-2-1111-122-2-111112-1-1-1-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-200−i3i300−i3i3-11-11000000000000
χ3622-22-22-12-22-2112-1-2-2-1-2-2-1111-122-2-111112-1-1-1-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300-2200i3−i300i3−i31-11-1000000000000
χ3722-22-22-12-22-2112-1-2-2-1-2-2-1111-122-2-111112-1-1-1-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002-200i3−i300i3−i3-11-11000000000000
χ3822-22-22-12-22-2112-1-2-2-1-2-2-1111-122-2-111112-1-1-1-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-2200−i3i300−i3i31-11-1000000000000
χ3922-2-22222-2-22-2-222222-22-22-2-22-22-22-2222-2-2-2-2-22002-20000000000000000000000002-200000000002-22-20000
χ4022-2-22222-2-22-2-222222-22-22-2-22-22-22-2222-2-2-2-2-22002-2000000000000000000000000-220000000000-22-220000
χ4122-2-2222-222-2-2-222-2-22-22-22-2-22-2-22-22-2-2-22222-222-2-222-22-22-2-222-2-222-2-220000000000000000000000000000
χ4222-2-2222-222-2-2-222-2-22-22-22-2-22-2-22-22-2-2-22222-22-22-22-22-22-222-2-222-2-222-20000000000000000000000000000
χ4322-2-222-1-222-2112-1-2-2-1-221-111-1-2-221-11112-1-1-11-12-21-12-22-2-111-1-111-1-111-1000000−i3i300i3−i3−i3i3i3−i3000000000000
χ4422-2-222-1-222-2112-1-2-2-1-221-111-1-2-221-11112-1-1-11-12-21-12-22-2-111-1-111-1-111-1000000i3−i300−i3i3i3−i3−i3i3000000000000
χ4522-2-222-1-222-2112-1-2-2-1-221-111-1-2-221-11112-1-1-11-1-221-1-22-221-1-111-1-111-1-11000000−i3i300i3−i3i3−i3−i3i3000000000000
χ4622-2-222-1-222-2112-1-2-2-1-221-111-1-2-221-11112-1-1-11-1-221-1-22-221-1-111-1-111-1-11000000i3−i300−i3i3−i3i3i3−i3000000000000
χ4722-2-22-122-2-22-2-2-12-1-1-11-1-2211-11-112-22-1-11-2111-100-113−3−3300003−3−33−333−3000000002-20000003−33−3-11-110000
χ4822-2-22-122-2-22-2-2-12-1-1-11-1-2211-11-112-22-1-11-2111-100-113−3−3300003−3−33−333−300000000-22000000−33−331-11-10000
χ4922-2-22-122-2-22-2-2-12-1-1-11-1-2211-11-112-22-1-11-2111-100-11−333−30000−333−33−3−33000000002-2000000−33−33-11-110000
χ5022-2-22-122-2-22-2-2-12-1-1-11-1-2211-11-112-22-1-11-2111-100-11−333−30000−333−33−3−3300000000-220000003−33−31-11-10000
χ5122-2-22-12-222-2-2-2-1211-11-1-2211-111-1-22-211-12-1-11-12-21-1-11-112-2-22-111-1-111-100000000000000003−3−33−333−30000
χ5222-2-22-12-222-2-2-2-1211-11-1-2211-111-1-22-211-12-1-11-12-21-1-11-112-2-22-111-1-111-10000000000000000−333−33−3−330000
χ5322-2-22-12-222-2-2-2-1211-11-1-2211-111-1-22-211-12-1-11-1-221-11-11-1-222-21-1-111-1-1100000000000000003−3−333−3−330000
χ5422-2-22-12-222-2-2-2-1211-11-1-2211-111-1-22-211-12-1-11-1-221-11-11-1-222-21-1-111-1-110000000000000000−333−3−333−30000
χ55444444-2-4-4-4-4-2-24-2-4-4-244-2-2-2-2-24-4-422222-4222-2-2002200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-122-1-11100-1-12323−23−230000−3−3−3−333330000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-122-1-11100-1-1−23−23232300003333−3−3−3−30000000000000000000000000000
χ60444-4-44-244-4-4-2-24-2-4-4-24-422-2-2-2-444-2-2222-42222200-2-200000000000000000000000000000000000000000000
χ61444-4-4-2444-4-444-2422-2-22-4-4-2-2-22-2-244-4222-4222200-2-200000000000000000000000000000000000000000000
χ62444-4-4-24-4-44444-24-2-2-2-22-4-4-2-2-2222-4-44-2-2-24-2-222002200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-2221-22221112-2-2-2-22-1-122-1-1-1-10011000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-2221-22221112-2-2-2-22-1-122-1-1-1-1001100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ65444-4-4-2-2-4-444-2-2-2-2-2-21-222211122222-211-2-211-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-444-2-2-2-2-2-21-222211122222-211-2-211-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ6744-44-44-2-44-44224-244-2-4-4-2222-24-442-2-2-2-2-4222-22002-200000000000000000000000000000000000000000000
χ6844-44-4-244-44-4-4-4-2422-2224-422-2-2-224-4-422-24-2-2-2200-2200000000000000000000000000000000000000000000
χ6944-44-4-24-44-44-4-4-24-2-2-2224-422-2-22-2-444-2-22-422-22002-200000000000000000000000000000000000000000000
χ7044-44-4-2-24-44-422-2-222122-22-1-11-2-22-222-1-1-2-2111-1001-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-24-44-422-2-222122-22-1-11-2-22-222-1-1-2-2111-1001-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7244-44-4-2-2-44-4422-2-2-2-2122-22-1-11-22-22-2-21122-1-11-100-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ7344-44-4-2-2-44-4422-2-2-2-2122-22-1-11-22-22-2-21122-1-11-100-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ7444-4-444-24-4-44224-244-2-442-222-2-44-4-22-2-2-2-42222-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-212-22-2-1-112-22-22-21122-1-1-11001-123−23−23230000−333−33−3−330000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-212-22-2-1-112-22-22-21122-1-1-11001-1−232323−2300003−3−33−333−30000000000000000000000000000
χ7744-4-44-2-2-444-422-2-22212-22-2-1-1122-22-22-1-1-2-211-114-4-11-22-22-222-21-1-111-1-110000000000000000000000000000
χ7844-4-44-2-2-444-422-2-22212-22-2-1-1122-22-22-1-1-2-211-11-44-112-22-22-2-22-111-1-111-10000000000000000000000000000
χ798-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ818-80008-400004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000004-843−43-4000000400000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-480000004-8−4343-40000004000000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−43200002i3−2i3-2000000−2323006i−6i00000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−4343200002i3−2i3-200000023−2300−6i6i00000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−4320000−2i32i3-2000000−232300−6i6i00000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−434320000−2i32i3-200000023−23006i−6i00000000000000000000000000000000000000000000000000

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