Finite Group Databasebeta

← Group #13180273

Character table — Group #13180273

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11666881222121212161624331818182424362212121216162444242424323248663636364848723318181824243666363636484872995454547272108
order124883623612242436622488662361224243663612242436666122424666224886626612242466622488662
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
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−i2-110
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−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11
χ1122200-1-1022200-1-10-2-2-20011022200-1-1022200-1-10-2-2-20011022200-1-1022200-1-10-2-2-200110
χ122-20i2−i2-1102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-10
χ1433-11100-133-11100-1-3-31-1-100133-11100-133-11100-1-3-31-1-100133-11100-133-11100-1-3-31-1-1001
χ1533-1-1-100133-1-1-1001-3-311100-133-1-1-100133-1-1-1001-3-311100-133-1-1-100133-1-1-1001-3-311100-1
χ164-40001-104-40001-10-44000-1104-40001-104-40001-10-44000-1104-40001-104-40001-10-44000-110
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ18222-2-222-2-1-1-111-1-1100000000222-2-222-2-1-1-111-1-1100000000222-2-222-2-1-1-111-1-1100000000
χ1944400-2-20-2-2-2001100000000044400-2-20-2-2-2001100000000044400-2-20-2-2-20011000000000
χ204-402i2−2i2-220-220−i2i21-10000000004-402i2−2i2-220-220−i2i21-10000000004-402i2−2i2-220-220−i2i21-1000000000
χ214-40−2i22i2-220-220i2−i21-10000000004-40−2i22i2-220-220i2−i21-10000000004-40−2i22i2-220-220i2−i21-1000000000
χ2266-22200-2-3-31-1-10010000000066-22200-2-3-31-1-10010000000066-22200-2-3-31-1-100100000000
χ2366-2-2-2002-3-311100-10000000066-2-2-2002-3-311100-10000000066-2-2-2002-3-311100-100000000
χ248-80002-20-44000-110000000008-80002-20-44000-110000000008-80002-20-44000-11000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11
χ2722200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110
χ282-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10
χ292-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10
χ3033-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001
χ3133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1
χ324-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110
χ331111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ34111-1-111-1111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11111-1-111-1
χ3522200-1-1022200-1-10-2-2-20011022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-20011022200-1-10
χ362-20i2−i2-1102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-102-20i2−i2-110
χ372-20−i2i2-1102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-102-20−i2i2-110
χ3833-11100-133-11100-1-3-31-1-100133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-100133-11100-1
χ3933-1-1-100133-1-1-1001-3-311100-133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-133-1-1-1001
χ404-40001-104-40001-10-44000-1104-40001-104-40001-10-44000-110-44000-110-44000-1104-40001-10
χ4122222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-21111111100000000
χ42222-2-222-2-1-1-111-1-1100000000222-2-222-2-1-1-111-1-1100000000-2-2-222-2-22111-1-111-100000000
χ4344400-2-20-2-2-2001100000000044400-2-20-2-2-20011000000000-4-4-40022022200-1-1000000000
χ444-402i2−2i2-220-220−i2i21-10000000004-402i2−2i2-220-220−i2i21-1000000000-440−2i22i22-202-20i2−i2-11000000000
χ454-40−2i22i2-220-220i2−i21-10000000004-40−2i22i2-220-220i2−i21-1000000000-4402i2−2i22-202-20−i2i2-11000000000
χ4666-22200-2-3-31-1-10010000000066-22200-2-3-31-1-100100000000-6-62-2-200233-11100-100000000
χ4766-2-2-2002-3-311100-10000000066-2-2-2002-3-311100-100000000-6-622200-233-1-1-100100000000
χ488-80002-20-44000-110000000008-80002-20-44000-11000000000-88000-2204-40001-1000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222-2-222-2222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11000000000000000000000000
χ5144400-2-2044400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-200110000000000000000000000000
χ524-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-10000000000000000000000000
χ534-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-10000000000000000000000000
χ5466-22200-266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-1001000000000000000000000000
χ5566-2-2-200266-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-1000000000000000000000000
χ568-80002-208-80002-208-80002-20-44000-110-44000-110-44000-110000000000000000000000000
χ572222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ58222-2-222-2222-2-222-2-2-2-222-2-22-1-1-111-1-11-1-1-111-1-11111-1-111-1000000000000000000000000
χ5944400-2-2044400-2-20-4-4-400220-2-2-200110-2-2-20011022200-1-10000000000000000000000000
χ604-402i2−2i2-2204-402i2−2i2-220-440−2i22i22-20-220−i2i21-10-220−i2i21-102-20i2−i2-110000000000000000000000000
χ614-40−2i22i2-2204-40−2i22i2-220-4402i2−2i22-20-220i2−i21-10-220i2−i21-102-20−i2i2-110000000000000000000000000
χ6266-22200-266-22200-2-6-62-2-2002-3-31-1-1001-3-31-1-100133-11100-1000000000000000000000000
χ6366-2-2-200266-2-2-2002-6-622200-2-3-311100-1-3-311100-133-1-1-1001000000000000000000000000
χ648-80002-208-80002-20-88000-220-44000-110-44000-1104-40001-10000000000000000000000000
χ6544444444-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ66444-4-444-4-2-2-222-2-2200000000-2-2-222-2-22111-1-111-100000000000000000000000000000000
χ6788800-4-40-4-4-40022000000000-4-4-40022022200-1-1000000000000000000000000000000000
χ688-804i2−4i2-440-440−2i22i22-2000000000-440−2i22i22-202-20i2−i2-11000000000000000000000000000000000
χ698-80−4i24i2-440-4402i2−2i22-2000000000-4402i2−2i22-202-20−i2i2-11000000000000000000000000000000000
χ701212-44400-4-6-62-2-200200000000-6-62-2-200233-11100-100000000000000000000000000000000
χ711212-4-4-4004-6-622200-200000000-6-622200-233-1-1-100100000000000000000000000000000000
χ7216-160004-40-88000-22000000000-88000-2204-40001-1000000000000000000000000000000000

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