Finite Group Databasebeta

← Group #13180563

Character table — Group #13180563

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112244446888899121212121212181818182424242424242424363636365454547272112244446888899121212121212181818182424242424242424363636365454547272
order12363366433662222666644666666661212221212444662266666646666222266664466666666121222121244466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-111-1-1-1-1111-111-1-1111-1-1-11-1-11-11111111111111111-111-1-1-1-1111-111-1-1111-1-1-11-1-11-1
χ3111111111111111-11-1-111-1-111-11-1-11111-11-1-11-1-1-11111111111111111-11-1-111-1-111-11-1-11111-11-1-11-1-1-11
χ4111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1
χ511111111-11111111111111111111111-1-1-1-111-1-1-1-1-111111111-11111111111111111111111-1-1-1-111-1-1-1-1-1
χ611111111-11111111-111-1-1-1-1111-111-1-1-1-1-11-1-1-111-1111111111-11111111-111-1-1-1-1111-111-1-1-1-1-11-1-1-111-11
χ711111111-1111111-11-1-111-1-111-11-1-111-1-11-1-1-1-1111-111111111-1111111-11-1-111-1-111-11-1-111-1-11-1-1-1-1111-1
χ811111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111
χ92222222222222-2-200000000-2-2000000220000-200002222222222222-2-200000000-2-2000000220000-20000
χ1022222222-22222-2-200000000-2-2000000-2-200002000022222222-22222-2-200000000-2-2000000-2-2000020000
χ1122-1-122220-1-1-1-12222-1-1-1-122-1-122-1-1-1-10000-1-10000022-1-122220-1-1-1-12222-1-1-1-122-1-122-1-1-1-10000-1-100000
χ1222-1-122220-1-1-1-1222-2-1-111-2-2-1-12-2-1-1110000110000022-1-122220-1-1-1-1222-2-1-111-2-2-1-12-2-1-11100001100000
χ1322-1-122220-1-1-1-122-2211-1-1-2-2-1-1-2211-1-10000110000022-1-122220-1-1-1-122-2211-1-1-2-2-1-1-2211-1-100001100000
χ1422-1-122220-1-1-1-122-2-2111122-1-1-2-211110000-1-10000022-1-122220-1-1-1-122-2-2111122-1-1-2-211110000-1-100000
χ152-22-222-2-2022-2-22-20000002-2-2200000000002-2000002-22-222-2-2022-2-22-20000002-2-2200000000002-200000
χ162-22-222-2-2022-2-22-2000000-22-220000000000-22000002-22-222-2-2022-2-22-2000000-22-220000000000-2200000
χ172-22-222-2-2022-2-2-22000000002-200000000000002-2002-22-222-2-2022-2-2-22000000002-200000000000002-200
χ182-22-222-2-2022-2-2-22000000002-20000000000000-22002-22-222-2-2022-2-2-22000000002-20000000000000-2200
χ192-2-1122-2-20-1-1112-200i3−i3i3−i32-21-100i3−i3i3−i30000-11000002-2-1122-2-20-1-1112-200i3−i3i3−i32-21-100i3−i3i3−i30000-1100000
χ202-2-1122-2-20-1-1112-200i3−i3−i3i3-221-100i3−i3−i3i300001-1000002-2-1122-2-20-1-1112-200i3−i3−i3i3-221-100i3−i3−i3i300001-100000
χ212-2-1122-2-20-1-1112-200−i3i3i3−i3-221-100−i3i3i3−i300001-1000002-2-1122-2-20-1-1112-200−i3i3i3−i3-221-100−i3i3i3−i300001-100000
χ222-2-1122-2-20-1-1112-200−i3i3−i3i32-21-100−i3i3−i3i30000-11000002-2-1122-2-20-1-1112-200−i3i3−i3i32-21-100−i3i3−i3i30000-1100000
χ2344441-21-241-21-20002002200000-100-1-11-202000000-144441-21-241-21-20002002200000-100-1-11-202000000-1
χ2444441-21-241-21-2000-200-2-200000100111-20-2000000144441-21-241-21-2000-200-2-200000100111-20-20000001
χ2544441-21-2-41-21-20002002200000-100-1-1-120-2000000144441-21-2-41-21-20002002200000-100-1-1-120-20000001
χ2644441-21-2-41-21-2000-200-2-20000010011-1202000000-144441-21-2-41-21-2000-200-2-20000010011-1202000000-1
χ274444-21-214-21-21002022000000-10-1-100-212000000-104444-21-214-21-21002022000000-10-1-100-212000000-10
χ284444-21-214-21-2100-20-2-2000000101100-21-2000000104444-21-214-21-2100-20-2-2000000101100-21-200000010
χ294444-21-21-4-21-21002022000000-10-1-1002-1-2000000104444-21-21-4-21-21002022000000-10-1-1002-1-200000010
χ304444-21-21-4-21-2100-20-2-20000001011002-12000000-104444-21-21-4-21-2100-20-2-20000001011002-12000000-10
χ3144-2-244440-2-2-2-2-4-400000000220000000000000000044-2-244440-2-2-2-2-4-4000000002200000000000000000
χ324-4-2244-4-40-2-222-4400000000-22000000000000000004-4-2244-4-40-2-222-4400000000-2200000000000000000
χ3388-4-42-42-40-12-12000400-2-200000-200110000000000088-4-42-42-40-12-12000400-2-200000-2001100000000000
χ3488-4-42-42-40-12-12000-4002200000200-1-10000000000088-4-42-42-40-12-12000-4002200000200-1-100000000000
χ3588-4-4-42-4202-12-10040-2-2000000-2011000000000000088-4-4-42-4202-12-10040-2-2000000-20110000000000000
χ3688-4-4-42-4202-12-100-402200000020-1-1000000000000088-4-4-42-4202-12-100-402200000020-1-10000000000000
χ378-88-82-4-2402-4-24000000000000000000000000000008-88-82-4-2402-4-2400000000000000000000000000000
χ388-88-8-424-20-424-2000000000000000000000000000008-88-8-424-20-424-200000000000000000000000000000
χ398-8-442-4-240-121-20000002i3−2i300000000−i3i3000000000008-8-442-4-240-121-20000002i3−2i300000000−i3i300000000000
χ408-8-442-4-240-121-2000000−2i32i300000000i3−i3000000000008-8-442-4-240-121-2000000−2i32i300000000i3−i300000000000
χ418-8-44-424-202-1-2100002i3−2i300000000−i3i300000000000008-8-44-424-202-1-2100002i3−2i300000000−i3i30000000000000
χ428-8-44-424-202-1-210000−2i32i300000000i3−i300000000000008-8-44-424-202-1-210000−2i32i300000000i3−i30000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111-111-1-1-1-1111-111-1-1111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11-1-111-1-1-1111-111-11
χ45111111111111111-11-1-111-1-111-11-1-11111-11-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-111-1-1-1-11-111-1111-1
χ46111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-111
χ4711111111-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111
χ4811111111-11111111-111-1-1-1-1111-111-1-1-1-1-11-1-1-111-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-11-1-111111-1111-1-11-1
χ4911111111-1111111-11-1-111-1-111-11-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-111-1-111-1-11-111-1-111-11111-1-1-11
χ5011111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1111-1-1
χ512222222222222-2-200000000-2-2000000220000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2220000000022000000-2-2000020000
χ5222222222-22222-2-200000000-2-2000000-2-2000020000-2-2-2-2-2-2-2-22-2-2-2-2220000000022000000220000-20000
χ5322-1-122220-1-1-1-12222-1-1-1-122-1-122-1-1-1-10000-1-100000-2-211-2-2-2-201111-2-2-2-21111-2-211-2-2111100001100000
χ5422-1-122220-1-1-1-1222-2-1-111-2-2-1-12-2-1-11100001100000-2-211-2-2-2-201111-2-2-2211-1-12211-2211-1-10000-1-100000
χ5522-1-122220-1-1-1-122-2211-1-1-2-2-1-1-2211-1-100001100000-2-211-2-2-2-201111-2-22-2-1-11122112-2-1-1110000-1-100000
χ5622-1-122220-1-1-1-122-2-2111122-1-1-2-211110000-1-100000-2-211-2-2-2-201111-2-222-1-1-1-1-2-21122-1-1-1-100001100000
χ572-22-222-2-2022-2-22-20000002-2-2200000000002-200000-22-22-2-2220-2-222-22000000-222-20000000000-2200000
χ582-22-222-2-2022-2-22-2000000-22-220000000000-2200000-22-22-2-2220-2-222-220000002-22-200000000002-200000
χ592-22-222-2-2022-2-2-22000000002-200000000000002-200-22-22-2-2220-2-2222-200000000-220000000000000-2200
χ602-22-222-2-2022-2-2-22000000002-20000000000000-2200-22-22-2-2220-2-2222-200000000-2200000000000002-200
χ612-2-1122-2-20-1-1112-200i3−i3i3−i32-21-100i3−i3i3−i30000-1100000-221-1-2-222011-1-1-2200−i3i3−i3i3-22-1100−i3i3−i3i300001-100000
χ622-2-1122-2-20-1-1112-200i3−i3−i3i3-221-100i3−i3−i3i300001-100000-221-1-2-222011-1-1-2200−i3i3i3−i32-2-1100−i3i3i3−i30000-1100000
χ632-2-1122-2-20-1-1112-200−i3i3i3−i3-221-100−i3i3i3−i300001-100000-221-1-2-222011-1-1-2200i3−i3−i3i32-2-1100i3−i3−i3i30000-1100000
χ642-2-1122-2-20-1-1112-200−i3i3−i3i32-21-100−i3i3−i3i30000-1100000-221-1-2-222011-1-1-2200i3−i3i3−i3-22-1100i3−i3i3−i300001-100000
χ6544441-21-241-21-20002002200000-100-1-11-202000000-1-4-4-4-4-12-12-4-12-12000-200-2-20000010011-120-20000001
χ6644441-21-241-21-2000-200-2-200000100111-20-20000001-4-4-4-4-12-12-4-12-120002002200000-100-1-1-1202000000-1
χ6744441-21-2-41-21-20002002200000-100-1-1-120-20000001-4-4-4-4-12-124-12-12000-200-2-200000100111-202000000-1
χ6844441-21-2-41-21-2000-200-2-20000010011-1202000000-1-4-4-4-4-12-124-12-120002002200000-100-1-11-20-20000001
χ694444-21-214-21-21002022000000-10-1-100-212000000-10-4-4-4-42-12-1-42-12-100-20-2-20000001011002-1-200000010
χ704444-21-214-21-2100-20-2-2000000101100-21-200000010-4-4-4-42-12-1-42-12-1002022000000-10-1-1002-12000000-10
χ714444-21-21-4-21-21002022000000-10-1-1002-1-200000010-4-4-4-42-12-142-12-100-20-2-2000000101100-212000000-10
χ724444-21-21-4-21-2100-20-2-20000001011002-12000000-10-4-4-4-42-12-142-12-1002022000000-10-1-100-21-200000010
χ7344-2-244440-2-2-2-2-4-4000000002200000000000000000-4-422-4-4-4-4022224400000000-2-200000000000000000
χ744-4-2244-4-40-2-222-4400000000-2200000000000000000-442-2-4-444022-2-24-4000000002-200000000000000000
χ7588-4-42-42-40-12-12000400-2-200000-2001100000000000-8-844-24-2401-21-2000-4002200000200-1-100000000000
χ7688-4-42-42-40-12-12000-4002200000200-1-100000000000-8-844-24-2401-21-2000400-2-200000-2001100000000000
χ7788-4-4-42-4202-12-10040-2-2000000-20110000000000000-8-8444-24-20-21-2100-402200000020-1-10000000000000
χ7888-4-4-42-4202-12-100-402200000020-1-10000000000000-8-8444-24-20-21-210040-2-2000000-20110000000000000
χ798-88-82-4-2402-4-2400000000000000000000000000000-88-88-242-40-242-400000000000000000000000000000
χ808-88-8-424-20-424-200000000000000000000000000000-88-884-2-4204-2-4200000000000000000000000000000
χ818-8-442-4-240-121-20000002i3−2i300000000−i3i300000000000-884-4-242-401-2-12000000−2i32i300000000i3−i300000000000
χ828-8-442-4-240-121-2000000−2i32i300000000i3−i300000000000-884-4-242-401-2-120000002i3−2i300000000−i3i300000000000
χ838-8-44-424-202-1-2100002i3−2i300000000−i3i30000000000000-884-44-2-420-212-10000−2i32i300000000i3−i30000000000000
χ848-8-44-424-202-1-210000−2i32i300000000i3−i30000000000000-884-44-2-420-212-100002i3−2i300000000−i3i30000000000000

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