Finite Group Databasebeta

← Group #13180773

Character table — Group #13180773

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11222222222222222226666881212121212121212121212121212121212121212121212121212121616161616161616161616161616161616181824242424242424245454108108108108144144
order12333346666121212121212121224883624666681212121224242424242424242424242424242424333366661212121212121212122266661212121244228866
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111-1-111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-11-11-11-1
χ6111111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-11-11
χ7111111-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-11-111-1
χ8111111-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-11-1-11
χ922222222222222222222200-1-1002222022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000220000-1-1
χ1022222222222222222222200-1-1002222022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-2000011
χ11222222-22222-2-2-2-2-2-2-2-2-2200-1-100-2-2-2-2022220000000000000000-1-1-1-1-1-1-1-11111111112-2000000002-20000-11
χ12222222-22222-2-2-2-2-2-2-2-2-2200-1-100-2-2-2-2022220000000000000000-1-1-1-1-1-1-1-1111111111-2200000000-2200001-1
χ13222-1-1-122-1-1-122-1-1-1-1-1-1222222222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1002-1-1-12-1-1-100000000
χ14222-1-1-122-1-1-122-1-1-1-1-1-122-2-222-2-22-1-1-1-22-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-100-2111-211100000000
χ15222-1-1-1-22-1-1-1-2-2111111-2222222-2-2111-22-1-1-122-1-1-1-1-1-1-2-21111112-1-1-12-1-1-1-2-2-2111111002-1-1-1-211100000000
χ16222-1-1-1-22-1-1-1-2-2111111-22-2-222-22-211122-1-1-1-2-211111122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-211111100-21112-1-1-100000000
χ1722-12-1-12-12-1-1-1-122-1-1-1-122222222-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-100-12-1-1-12-1-100000000
χ1822-12-1-12-12-1-1-1-122-1-1-1-122-2-222-2-2-12-1-1-2-12-1-111-2-2111111-2-21111-12-1-1-12-1-12-1-122-1-1-1-1001-2111-21100000000
χ1922-12-1-1-2-12-1-111-2-21111-2222222-21-211-2-12-1-1-1-122-1-1-1-111-2-21111-12-1-1-12-1-1-211-2-2111100-12-1-11-21100000000
χ2022-12-1-1-2-12-1-111-2-21111-22-2-222-221-2112-12-1-111-2-21111-1-122-1-1-1-1-12-1-1-12-1-1-211-2-21111001-211-12-1-100000000
χ2122-1-12-12-1-12-1-1-1-1-122-1-122222222-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-100-1-12-1-1-12-100000000
χ2222-1-12-12-1-12-1-1-1-1-122-1-122-2-222-2-2-1-12-1-2-1-12-11111-2-2111111-2-211-1-12-1-1-12-12-1-1-1-122-1-10011-2111-2100000000
χ2322-1-12-1-2-1-12-11111-2-211-2222222-211-21-2-1-12-1-1-1-1-122-1-11111-2-211-1-12-1-1-12-1-21111-2-21100-1-12-111-2100000000
χ2422-1-12-1-2-1-12-11111-2-211-22-2-222-2211-212-1-12-11111-2-211-1-1-1-122-1-1-1-12-1-1-12-1-21111-2-2110011-21-1-12-100000000
χ2522-1-1-122-1-1-12-1-1-1-1-1-12222222222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12200-1-1-12-1-1-1200000000
χ2622-1-1-122-1-1-12-1-1-1-1-1-12222-2-222-2-2-1-1-12-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-122-1-1-1-1-1-12200111-2111-200000000
χ2722-1-1-12-2-1-1-12111111-2-2-2222222-2111-2-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-12-1-1-12-2111111-2-200-1-1-12111-200000000
χ2822-1-1-12-2-1-1-12111111-2-2-22-2-222-22111-22-1-1-12111111-2-2-1-1-1-1-1-122-1-1-12-1-1-12-2111111-2-200111-2-1-1-1200000000
χ293333333333333333333-1-11100-1-1-1-1-1-11-1-1-1-111111111111111110000000000000000033-1-1-1-1-1-1-1-1-1-1-1-11100
χ303333333333333333333-1-11100-1-1-1-1-1-11-1-1-1-1111111111111111100000000000000000-3-3-1-1-1-1-1-1-1-11111-1-100
χ313333333333333333333-1-1-1-10011-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000003311111111-1-111-1-100
χ323333333333333333333-1-1-1-10011-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-3-31111111111-1-11100
χ33333333-33333-3-3-3-3-3-3-3-31-11100-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000003-3-1-1-1-11111-11-111-100
χ34333333-33333-3-3-3-3-3-3-3-31-11100-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000-33-1-1-1-111111-11-1-1100
χ35333333-33333-3-3-3-3-3-3-3-31-1-1-1001-111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000003-31111-1-1-1-1-111-1-1100
χ36333333-33333-3-3-3-3-3-3-3-31-1-1-1001-111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000-331111-1-1-1-11-1-111-100
χ37444-2-2-244-2-2-244-2-2-2-2-2-24400-2-2004-2-2-204-2-2-20000000000000000-2111-2111-2-2-2111111000000000000000000
χ38444-2-2-2-44-2-2-2-4-4222222-4400-2-200-422204-2-2-20000000000000000-2111-2111222-1-1-1-1-1-1000000000000000000
χ3944-24-2-24-24-2-2-2-244-2-2-2-24400-2-200-24-2-20-24-2-200000000000000001-2111-211-211-2-21111000000000000000000
χ4044-24-2-2-4-24-2-222-4-42222-4400-2-2002-4220-24-2-200000000000000001-2111-2112-1-122-1-1-1-1000000000000000000
χ4144-2-24-24-2-24-2-2-2-2-244-2-24400-2-200-2-24-20-2-24-2000000000000000011-2111-21-21111-2-211000000000000000000
χ4244-2-24-2-4-2-24-22222-4-422-4400-2-20022-420-2-24-2000000000000000011-2111-212-1-1-1-122-1-1000000000000000000
χ4344-2-2-244-2-2-24-2-2-2-2-2-2444400-2-200-2-2-240-2-2-240000000000000000111-2111-2-2111111-2-2000000000000000000
χ4444-2-2-24-4-2-2-24222222-4-4-4400-2-200222-40-2-2-240000000000000000111-2111-22-1-1-1-1-1-122000000000000000000
χ454-444440-4-4-4-40000000000−2i22i2-2200000000000−2i22i2−2i22i2−2i22i2−2i22i200000000-2-2-2-22222000000000000000000000000000
χ464-444440-4-4-4-400000000002i2−2i2-22000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000-2-2-2-22222000000000000000000000000000
χ474-44-2-2-20-42220023−2323−2323−2300−2i22i2-2200000000000−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6-21112-1-1-10003−33−33−3000000000000000000
χ484-44-2-2-20-42220023−2323−2323−23002i2−2i2-22000000000002i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6-21112-1-1-10003−33−33−3000000000000000000
χ494-44-2-2-20-422200−2323−2323−232300−2i22i2-2200000000000−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6-21112-1-1-1000−33−33−33000000000000000000
χ504-44-2-2-20-422200−2323−2323−2323002i2−2i2-22000000000002i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6-21112-1-1-1000−33−33−33000000000000000000
χ514-4-24-2-202-42223−230023−23−232300−2i22i2-2200000000000i2−i2−2i22i2i2−i2i2−i2i6−i600i6−i6−i6i61-211-12-1-103−3003−3−33000000000000000000
χ524-4-24-2-202-42223−230023−23−2323002i2−2i2-2200000000000−i2i22i2−2i2−i2i2−i2i2−i6i600−i6i6i6−i61-211-12-1-103−3003−3−33000000000000000000
χ534-4-24-2-202-422−232300−232323−2300−2i22i2-2200000000000i2−i2−2i22i2i2−i2i2−i2−i6i600−i6i6i6−i61-211-12-1-10−3300−333−3000000000000000000
χ544-4-24-2-202-422−232300−232323−23002i2−2i2-2200000000000−i2i22i2−2i2−i2i2−i2i2i6−i600i6−i6−i6i61-211-12-1-10−3300−333−3000000000000000000
χ554-4-2-24-2022-4223−23−23230023−2300−2i22i2-2200000000000i2−i2i2−i2−2i22i2i2−i2i6−i6−i6i600i6−i611-21-1-12-103−3−33003−3000000000000000000
χ564-4-2-24-2022-4223−23−23230023−23002i2−2i2-2200000000000−i2i2−i2i22i2−2i2−i2i2−i6i6i6−i600−i6i611-21-1-12-103−3−33003−3000000000000000000
χ574-4-2-24-2022-42−232323−2300−232300−2i22i2-2200000000000i2−i2i2−i2−2i22i2i2−i2−i6i6i6−i600−i6i611-21-1-12-10−333−300−33000000000000000000
χ584-4-2-24-2022-42−232323−2300−2323002i2−2i2-2200000000000−i2i2−i2i22i2−2i2−i2i2i6−i6−i6i600i6−i611-21-1-12-10−333−300−33000000000000000000
χ594-4-2-2-240222-423−2323−23−23230000−2i22i2-2200000000000i2−i2i2−i2i2−i2−2i22i2i6−i6i6−i6−i6i600111-2-1-1-1203−33−3−3300000000000000000000
χ604-4-2-2-240222-423−2323−23−232300002i2−2i2-2200000000000−i2i2−i2i2−i2i22i2−2i2−i6i6−i6i6i6−i600111-2-1-1-1203−33−3−3300000000000000000000
χ614-4-2-2-240222-4−2323−232323−230000−2i22i2-2200000000000i2−i2i2−i2i2−i2−2i22i2−i6i6−i6i6i6−i600111-2-1-1-120−33−333−300000000000000000000
χ624-4-2-2-240222-4−2323−232323−2300002i2−2i2-2200000000000−i2i2−i2i2−i2i22i2−2i2i6−i6i6−i6−i6i600111-2-1-1-120−33−333−300000000000000000000
χ63666-3-3-366-3-3-366-3-3-3-3-3-3-2-22200-2-2-21112-211122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000-2111-211100000000
χ64666-3-3-366-3-3-366-3-3-3-3-3-3-2-2-2-20022-2111-2-2111-2-2111111-2-211111100000000000000000002-1-1-12-1-1-100000000
χ65666-3-3-3-66-3-3-3-6-63333332-22200-222-1-1-1-2-211122-1-1-1-1-1-1-2-21111110000000000000000000-21112-1-1-100000000
χ66666-3-3-3-66-3-3-3-6-63333332-2-2-2002-22-1-1-12-2111-2-211111122-1-1-1-1-1-100000000000000000002-1-1-1-211100000000
χ6766-36-3-36-36-3-3-3-366-3-3-3-3-2-22200-2-21-21121-211-1-122-1-1-1-1-1-122-1-1-1-100000000000000000001-2111-21100000000
χ6866-36-3-36-36-3-3-3-366-3-3-3-3-2-2-2-200221-211-21-21111-2-2111111-2-211110000000000000000000-12-1-1-12-1-100000000
χ6966-36-3-3-6-36-3-333-6-633332-22200-22-12-1-1-21-211-1-122-1-1-1-111-2-2111100000000000000000001-211-12-1-100000000
χ7066-36-3-3-6-36-3-333-6-633332-2-2-2002-2-12-1-121-21111-2-21111-1-122-1-1-1-10000000000000000000-12-1-11-21100000000
χ7166-3-36-36-3-36-3-3-3-3-366-3-3-2-22200-2-211-21211-21-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000011-2111-2100000000
χ7266-3-36-36-3-36-3-3-3-3-366-3-3-2-2-2-2002211-21-211-211111-2-2111111-2-2110000000000000000000-1-12-1-1-12-100000000
χ7366-3-36-3-6-3-36-33333-6-6332-22200-22-1-12-1-211-21-1-1-1-122-1-11111-2-211000000000000000000011-21-1-12-100000000
χ7466-3-36-3-6-3-36-33333-6-6332-2-2-2002-2-1-12-1211-211111-2-211-1-1-1-122-1-10000000000000000000-1-12-111-2100000000
χ7566-3-3-366-3-3-36-3-3-3-3-3-366-2-22200-2-2111-22111-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000000111-2111-200000000
χ7666-3-3-366-3-3-36-3-3-3-3-3-366-2-2-2-20022111-2-2111-2111111-2-2111111-2-20000000000000000000-1-1-12-1-1-1200000000
χ7766-3-3-36-6-3-3-36333333-6-62-22200-22-1-1-12-2111-2-1-1-1-1-1-122111111-2-20000000000000000000111-2-1-1-1200000000
χ7866-3-3-36-6-3-3-36333333-6-62-2-2-2002-2-1-1-122111-2111111-2-2-1-1-1-1-1-1220000000000000000000-1-1-12111-200000000
χ798-888880-8-8-8-80000000000002-20000000000000000000000000002222-2-2-2-2000000000000000000000000000
χ808-88-4-4-40-84440043−4343−4343−4300002-20000000000000000000000000002-1-1-1-2111000−33−33−33000000000000000000
χ818-88-4-4-40-844400−4343−4343−434300002-20000000000000000000000000002-1-1-1-21110003−33−33−3000000000000000000
χ828-8-48-4-404-84443−430043−43−434300002-2000000000000000000000000000-12-1-11-2110−3300−333−3000000000000000000
χ838-8-48-4-404-844−434300−434343−4300002-2000000000000000000000000000-12-1-11-21103−3003−3−33000000000000000000
χ848-8-4-48-4044-8443−43−43430043−4300002-2000000000000000000000000000-1-12-111-210−333−300−33000000000000000000
χ858-8-4-48-4044-84−434343−4300−434300002-2000000000000000000000000000-1-12-111-2103−3−33003−3000000000000000000
χ868-8-4-4-480444-843−4343−43−43430000002-2000000000000000000000000000-1-1-12111-20−33−333−300000000000000000000
χ878-8-4-4-480444-8−4343−434343−430000002-2000000000000000000000000000-1-1-12111-203−33−3−3300000000000000000000

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