Finite Group Databasebeta

← Group #13165963

Character table — Group #13165963

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1166688121166688122212121216162422121212161624221212121616242212121216162422121212161624221212121616242212121216162422121212161624995454547272108995454547272108
order1248836222488662361224243663612242436636122424366361224243666612242466666122424666661224246666612242466644488121244448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
χ42-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ52-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ911111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11
χ1122200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110
χ122-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10
χ1433-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001
χ1533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1
χ164-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110
χ1711111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ18111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11iii−i−iii−i−i−i−iii−i−ii
χ1922200-1-10-2-2-20011022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii0
χ202-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i0
χ212-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i0
χ2233-11100-1-3-31-1-100133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i
χ2333-1-1-1001-3-311100-133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-13i3i−i−i−i00i−3i−3iiii00−i
χ244-40001-10-44000-1104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110-44000-1104i−4i000i−i0−4i4i000−ii0
χ2511111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ26111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−i
χ2722200-1-10-2-2-20011022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i0
χ282-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii0
χ292-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii0
χ3033-11100-1-3-31-1-100133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i
χ3133-1-1-1001-3-311100-133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i
χ324-40001-10-44000-1104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110-44000-110−4i4i000−ii04i−4i000i−i0
χ33222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222-2-222-2222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-110000000000000000
χ3544400-2-2044400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-20-2-2-200110-2-2-200110-2-2-2001100000000000000000
χ364-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-100000000000000000
χ374-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-100000000000000000
χ3866-22200-266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-10010000000000000000
χ3966-2-2-200266-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-2002-3-311100-1-3-311100-1-3-311100-10000000000000000
χ408-80002-208-80002-208-80002-20-44000-110-44000-110-44000-1108-80002-20-44000-110-44000-110-44000-1100000000000000000
χ412222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ42222-2-222-2222-2-222-2-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-110000000000000000
χ4344400-2-2044400-2-20-2-2-20011044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-20-2-2-200110-2-2-2001100000000000000000
χ444-402i2−2i2-2204-402i2−2i2-220-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-100000000000000000
χ454-40−2i22i2-2204-40−2i22i2-220-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-100000000000000000
χ4666-22200-266-22200-2-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-10010000000000000000
χ4766-2-2-200266-2-2-2002-3-311100-166-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-2002-3-311100-1-3-311100-10000000000000000
χ488-80002-208-80002-20-44000-1108-80002-20-44000-110-44000-110-44000-1108-80002-20-44000-110-44000-1100000000000000000
χ492222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000
χ50222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-110000000000000000
χ5144400-2-2044400-2-20-2-2-200110-2-2-20011044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-20-2-2-2001100000000000000000
χ524-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-100000000000000000
χ534-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-100000000000000000
χ5466-22200-266-22200-2-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-10010000000000000000
χ5566-2-2-200266-2-2-2002-3-311100-1-3-311100-166-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-2002-3-311100-10000000000000000
χ568-80002-208-80002-20-44000-110-44000-1108-80002-20-44000-110-44000-110-44000-1108-80002-20-44000-1100000000000000000
χ572222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222220000000000000000
χ58222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-20000000000000000
χ5944400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-200000000000000000
χ604-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-2200000000000000000
χ614-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-2200000000000000000
χ6266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-20000000000000000
χ6366-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-20020000000000000000
χ648-80002-208-80002-20-44000-110-44000-110-44000-1108-80002-20-44000-110-44000-110-44000-1108-80002-200000000000000000
χ6522222222-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000000000000000
χ66222-2-222-2-2-2-222-2-22222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-2-2-222-2-22111-1-111-1111-1-111-1111-1-111-10000000000000000
χ6744400-2-20-4-4-40022044400-2-20-2-2-200110-2-2-200110-2-2-200110-4-4-40022022200-1-1022200-1-1022200-1-100000000000000000
χ684-402i2−2i2-220-440−2i22i22-204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-10-440−2i22i22-202-20i2−i2-1102-20i2−i2-1102-20i2−i2-1100000000000000000
χ694-40−2i22i2-220-4402i2−2i22-204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-10-4402i2−2i22-202-20−i2i2-1102-20−i2i2-1102-20−i2i2-1100000000000000000
χ7066-22200-2-6-62-2-200266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-1001-6-62-2-200233-11100-133-11100-133-11100-10000000000000000
χ7166-2-2-2002-6-622200-266-2-2-2002-3-311100-1-3-311100-1-3-311100-1-6-622200-233-1-1-100133-1-1-100133-1-1-10010000000000000000
χ728-80002-20-88000-2208-80002-20-44000-110-44000-110-44000-110-88000-2204-40001-104-40001-104-40001-100000000000000000
χ7322222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000000000000000
χ74222-2-222-2-2-2-222-2-22-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-11111-1-111-1-2-2-222-2-22111-1-111-1111-1-111-10000000000000000
χ7544400-2-20-4-4-400220-2-2-20011044400-2-20-2-2-200110-2-2-20011022200-1-10-4-4-40022022200-1-1022200-1-100000000000000000
χ764-402i2−2i2-220-440−2i22i22-20-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-102-20i2−i2-110-440−2i22i22-202-20i2−i2-1102-20i2−i2-1100000000000000000
χ774-40−2i22i2-220-4402i2−2i22-20-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-102-20−i2i2-110-4402i2−2i22-202-20−i2i2-1102-20−i2i2-1100000000000000000
χ7866-22200-2-6-62-2-2002-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-100133-11100-1-6-62-2-200233-11100-133-11100-10000000000000000
χ7966-2-2-2002-6-622200-2-3-311100-166-2-2-2002-3-311100-1-3-311100-133-1-1-1001-6-622200-233-1-1-100133-1-1-10010000000000000000
χ808-80002-20-88000-220-44000-1108-80002-20-44000-110-44000-1104-40001-10-88000-2204-40001-104-40001-100000000000000000
χ8122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-2111111110000000000000000
χ82222-2-222-2-2-2-222-2-22-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-11111-1-111-1111-1-111-1-2-2-222-2-22111-1-111-10000000000000000
χ8344400-2-20-4-4-400220-2-2-200110-2-2-20011044400-2-20-2-2-20011022200-1-1022200-1-10-4-4-40022022200-1-100000000000000000
χ844-402i2−2i2-220-440−2i22i22-20-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-102-20i2−i2-1102-20i2−i2-110-440−2i22i22-202-20i2−i2-1100000000000000000
χ854-40−2i22i2-220-4402i2−2i22-20-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-102-20−i2i2-1102-20−i2i2-110-4402i2−2i22-202-20−i2i2-1100000000000000000
χ8666-22200-2-6-62-2-2002-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-100133-11100-133-11100-1-6-62-2-200233-11100-10000000000000000
χ8766-2-2-2002-6-622200-2-3-311100-1-3-311100-166-2-2-2002-3-311100-133-1-1-100133-1-1-1001-6-622200-233-1-1-10010000000000000000
χ888-80002-20-88000-220-44000-110-44000-1108-80002-20-44000-1104-40001-104-40001-10-88000-2204-40001-100000000000000000
χ8922222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222111111111111111111111111-2-2-2-2-2-2-2-20000000000000000
χ90222-2-222-2-2-2-222-2-22-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-2111-1-111-1111-1-111-1111-1-111-1-2-2-222-2-220000000000000000
χ9144400-2-20-4-4-400220-2-2-200110-2-2-200110-2-2-20011044400-2-2022200-1-1022200-1-1022200-1-10-4-4-4002200000000000000000
χ924-402i2−2i2-220-440−2i22i22-20-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-2202-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-440−2i22i22-200000000000000000
χ934-40−2i22i2-220-4402i2−2i22-20-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-2202-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-4402i2−2i22-200000000000000000
χ9466-22200-2-6-62-2-2002-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-233-11100-133-11100-133-11100-1-6-62-2-20020000000000000000
χ9566-2-2-2002-6-622200-2-3-311100-1-3-311100-1-3-311100-166-2-2-200233-1-1-100133-1-1-100133-1-1-1001-6-622200-20000000000000000
χ968-80002-20-88000-220-44000-110-44000-110-44000-1108-80002-204-40001-104-40001-104-40001-10-88000-2200000000000000000

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