Finite Group Databasebeta

← Group #13180757

Character table — Group #13180757

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1166688122212121216162422121212161624221212121616242212121216162499545454727210811666881222121212161624221212121616242212121216162422121212161624995454547272108
order124883623612242436636122424366361224243663612242436622488662224886626612242466666122424666661224246666612242466622488662
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
χ91111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11
χ1122200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-20011022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110
χ122-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10
χ1433-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-100133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001
χ1533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1
χ164-40001-104-40001-104-40001-104-40001-104-40001-10-44000-1104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-1100000000222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-1100000000
χ1944400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-2001100000000044400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-20011000000000
χ204-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-10000000004-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-1000000000
χ214-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-10000000004-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-1000000000
χ2266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-10010000000066-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100100000000
χ2366-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-10000000066-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-100000000
χ248-80002-208-80002-20-44000-110-44000-110-44000-110000000008-80002-208-80002-20-44000-110-44000-110-44000-11000000000
χ2522222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ26222-2-222-2-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-1100000000222-2-222-2-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-1100000000
χ2744400-2-20-2-2-20011044400-2-20-2-2-200110-2-2-2001100000000044400-2-20-2-2-20011044400-2-20-2-2-200110-2-2-20011000000000
χ284-402i2−2i2-220-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-10000000004-402i2−2i2-220-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-1000000000
χ294-40−2i22i2-220-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-10000000004-40−2i22i2-220-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-1000000000
χ3066-22200-2-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-10010000000066-22200-2-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-100100000000
χ3166-2-2-2002-3-311100-166-2-2-2002-3-311100-1-3-311100-10000000066-2-2-2002-3-311100-166-2-2-2002-3-311100-1-3-311100-100000000
χ328-80002-20-44000-1108-80002-20-44000-110-44000-110000000008-80002-20-44000-1108-80002-20-44000-110-44000-11000000000
χ3322222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000
χ34222-2-222-2-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-1100000000222-2-222-2-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-1100000000
χ3544400-2-20-2-2-200110-2-2-20011044400-2-20-2-2-2001100000000044400-2-20-2-2-200110-2-2-20011044400-2-20-2-2-20011000000000
χ364-402i2−2i2-220-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-10000000004-402i2−2i2-220-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-1000000000
χ374-40−2i22i2-220-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-10000000004-40−2i22i2-220-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-1000000000
χ3866-22200-2-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-10010000000066-22200-2-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-100100000000
χ3966-2-2-2002-3-311100-1-3-311100-166-2-2-2002-3-311100-10000000066-2-2-2002-3-311100-1-3-311100-166-2-2-2002-3-311100-100000000
χ408-80002-20-44000-110-44000-1108-80002-20-44000-110000000008-80002-20-44000-110-44000-1108-80002-20-44000-11000000000
χ4122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000
χ42222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-200000000222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-200000000
χ4344400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-200000000044400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-2000000000
χ444-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-220000000004-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-22000000000
χ454-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-220000000004-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-22000000000
χ4666-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-20000000066-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-200000000
χ4766-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-20020000000066-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-200200000000
χ488-80002-20-44000-110-44000-110-44000-1108-80002-20000000008-80002-20-44000-110-44000-110-44000-1108-80002-2000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11
χ5122200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-200110
χ522-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10
χ532-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10
χ5433-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001
χ5533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-1
χ564-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110-44000-110-44000-110-44000-110
χ571111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ58111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11111-1-111-1
χ5922200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-20011022200-1-10
χ602-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-102-20i2−i2-110
χ612-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-102-20−i2i2-110
χ6233-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-100133-11100-1
χ6333-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-133-1-1-1001
χ644-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110-44000-110-44000-110-44000-1104-40001-10
χ652222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000
χ66222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-1100000000-2-2-222-2-22-2-2-222-2-22111-1-111-1111-1-111-1111-1-111-100000000
χ6744400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-20011000000000-4-4-400220-4-4-40022022200-1-1022200-1-1022200-1-1000000000
χ684-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-1000000000-440−2i22i22-20-440−2i22i22-202-20i2−i2-1102-20i2−i2-1102-20i2−i2-11000000000
χ694-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-1000000000-4402i2−2i22-20-4402i2−2i22-202-20−i2i2-1102-20−i2i2-1102-20−i2i2-11000000000
χ7066-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100100000000-6-62-2-2002-6-62-2-200233-11100-133-11100-133-11100-100000000
χ7166-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-100000000-6-622200-2-6-622200-233-1-1-100133-1-1-100133-1-1-100100000000
χ728-80002-208-80002-20-44000-110-44000-110-44000-11000000000-88000-220-88000-2204-40001-104-40001-104-40001-1000000000
χ7322222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111111111111100000000
χ74222-2-222-2-1-1-111-1-11222-2-222-2-1-1-111-1-11-1-1-111-1-1100000000-2-2-222-2-22111-1-111-1-2-2-222-2-22111-1-111-1111-1-111-100000000
χ7544400-2-20-2-2-20011044400-2-20-2-2-200110-2-2-20011000000000-4-4-40022022200-1-10-4-4-40022022200-1-1022200-1-1000000000
χ764-402i2−2i2-220-220−i2i21-104-402i2−2i2-220-220−i2i21-10-220−i2i21-1000000000-440−2i22i22-202-20i2−i2-110-440−2i22i22-202-20i2−i2-1102-20i2−i2-11000000000
χ774-40−2i22i2-220-220i2−i21-104-40−2i22i2-220-220i2−i21-10-220i2−i21-1000000000-4402i2−2i22-202-20−i2i2-110-4402i2−2i22-202-20−i2i2-1102-20−i2i2-11000000000
χ7866-22200-2-3-31-1-100166-22200-2-3-31-1-1001-3-31-1-100100000000-6-62-2-200233-11100-1-6-62-2-200233-11100-133-11100-100000000
χ7966-2-2-2002-3-311100-166-2-2-2002-3-311100-1-3-311100-100000000-6-622200-233-1-1-1001-6-622200-233-1-1-100133-1-1-100100000000
χ808-80002-20-44000-1108-80002-20-44000-110-44000-11000000000-88000-2204-40001-10-88000-2204-40001-104-40001-1000000000
χ8122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111100000000
χ82222-2-222-2-1-1-111-1-11-1-1-111-1-11222-2-222-2-1-1-111-1-1100000000-2-2-222-2-22111-1-111-1111-1-111-1-2-2-222-2-22111-1-111-100000000
χ8344400-2-20-2-2-200110-2-2-20011044400-2-20-2-2-20011000000000-4-4-40022022200-1-1022200-1-10-4-4-40022022200-1-1000000000
χ844-402i2−2i2-220-220−i2i21-10-220−i2i21-104-402i2−2i2-220-220−i2i21-1000000000-440−2i22i22-202-20i2−i2-1102-20i2−i2-110-440−2i22i22-202-20i2−i2-11000000000
χ854-40−2i22i2-220-220i2−i21-10-220i2−i21-104-40−2i22i2-220-220i2−i21-1000000000-4402i2−2i22-202-20−i2i2-1102-20−i2i2-110-4402i2−2i22-202-20−i2i2-11000000000
χ8666-22200-2-3-31-1-1001-3-31-1-100166-22200-2-3-31-1-100100000000-6-62-2-200233-11100-133-11100-1-6-62-2-200233-11100-100000000
χ8766-2-2-2002-3-311100-1-3-311100-166-2-2-2002-3-311100-100000000-6-622200-233-1-1-100133-1-1-1001-6-622200-233-1-1-100100000000
χ888-80002-20-44000-110-44000-1108-80002-20-44000-11000000000-88000-2204-40001-104-40001-10-88000-2204-40001-1000000000
χ8922222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-200000000
χ90222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11222-2-222-200000000-2-2-222-2-22111-1-111-1111-1-111-1111-1-111-1-2-2-222-2-2200000000
χ9144400-2-20-2-2-200110-2-2-200110-2-2-20011044400-2-2000000000-4-4-40022022200-1-1022200-1-1022200-1-10-4-4-40022000000000
χ924-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-104-402i2−2i2-22000000000-440−2i22i22-202-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-440−2i22i22-2000000000
χ934-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-104-40−2i22i2-22000000000-4402i2−2i22-202-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-4402i2−2i22-2000000000
χ9466-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-100166-22200-200000000-6-62-2-200233-11100-133-11100-133-11100-1-6-62-2-200200000000
χ9566-2-2-2002-3-311100-1-3-311100-1-3-311100-166-2-2-200200000000-6-622200-233-1-1-100133-1-1-100133-1-1-1001-6-622200-200000000
χ968-80002-20-44000-110-44000-110-44000-1108-80002-2000000000-88000-2204-40001-104-40001-104-40001-10-88000-22000000000

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