Finite Group Databasebeta

← Group #13149465

Character table — Group #13149465

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121212121212121212121212222244444444666612121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-11-111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111-1-11111111111-1-11111-1-1-1-11-11-1-1-111-1-111-11-11-1-1-1-111111111-1-1-1-1111-1-1-1-11
χ6111111111-1-11111111111-1-11111-1-1-1-11-11-1-1-111-1-111-1-11-111-11-1-1-1-111-1-111-1-1-1-11-1111-1
χ7111111111-1-11111111111-1-11111-1-1-1-11-11-1-1-111-1-1-1-11111-111-1-1-111-1-1111111-1-1-11-1-11-1
χ8111111111-1-11111111111-1-11111-1-1-1-11-11-1-1-111-1-1-1-11-1-1-11-11111-1-1-1-1-1-1-1-11111-1111-11
χ911111111-11-1-1-111111111-111111-1-111-11-1-1-1-1-1-1111-111-1-1-11-111-11111-1-1-1-1-1-1-1-1-111-111
χ1011111111-11-1-1-111111111-111111-1-111-11-1-1-1-1-1-1111-11-1111-1-1-1-11-1-1111111-1-111-11-11-1-1
χ1111111111-11-1-1-111111111-111111-1-111-11-1-1-1-1-1-111-11-111-1-1-111-1111-1-1-1-11111111-11-1-1-1
χ1211111111-11-1-1-111111111-111111-1-111-11-1-1-1-1-1-111-11-1-1-11111-11-1-1-1-1-111-1-111-1-11-1-1111
χ1311111111-1-11-1-1111111111-1111111-1-1-1-1-1111-1-1-1-11-1-111-11-11-11-11111-1-11111-1-1-1-1-11-11
χ1411111111-1-11-1-1111111111-1111111-1-1-1-1-1111-1-1-1-11-1-1-1-11-1111-11-1-11111-1-11111-1-11-11-1
χ1511111111-1-11-1-1111111111-1111111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1-1111-1-1-1-1-1-1-1-11111-111-1
χ1611111111-1-11-1-1111111111-1111111-1-1-1-1-1111-1-1-1-1-111-111-1-1-111-1-1-1-1-11111-1-1-1-1111-1-11
χ1722222222222222-1-1-12-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-122200000200000-1-10000-1-100-1-10000
χ1822222222222222-1-1-12-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-2-200000-2000001100001100110000
χ192222222222222-1222-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1000020020022000000-1-100-1-10000-1-1
χ202222222222222-1222-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-200-200-2-2000000110011000011
χ21222222222-2-2222-1-1-12-122-2-2-1-1-1-111-2-2-112-211-1-11122-200000-200000-1-100001100-110000
χ22222222222-2-2222-1-1-12-122-2-2-1-1-1-111-2-2-112-211-1-111-2-2200000200000110000-1-1001-10000
χ23222222222-2-222-1222-12-1-1-2-2-1-1-1-1-2-2112-2-1111-1-1110000200200-2-2000000-1-100110000-11
χ24222222222-2-222-1222-12-1-1-2-2-1-1-1-1-2-2112-2-1111-1-1110000-200-200220000001100-1-100001-1
χ2522222222-22-2-2-22-1-1-12-122-22-1-1-1-111221-1-2-21111-1-12-2200000-200000-1-1000011001-10000
χ2622222222-22-2-2-22-1-1-12-122-22-1-1-1-111221-1-2-21111-1-1-22-200000200000110000-1-100-110000
χ2722222222-22-2-2-2-1222-12-1-1-22-1-1-1-1-2-2-1-1-22111111-1-10000200-200-22000000-1-100-1-1000011
χ2822222222-22-2-2-2-1222-12-1-1-22-1-1-1-1-2-2-1-1-22111111-1-10000-2002002-20000001100110000-1-1
χ2922222222-2-22-2-22-1-1-12-1222-2-1-1-1-1-1-1-2-211-22-1-111112-2-200000200000-1-10000-1-100110000
χ3022222222-2-22-2-22-1-1-12-1222-2-1-1-1-1-1-1-2-211-22-1-11111-22200000-2000001100001100-1-10000
χ3122222222-2-22-2-2-1222-12-1-12-2-1-1-1-12211-2-21-1-1-111110000200-2002-2000000-1-1001100001-1
χ3222222222-2-22-2-2-1222-12-1-12-2-1-1-1-12211-2-21-1-1-111110000-200200-220000001100-1-10000-11
χ334444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2111111000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-411112222-22-22-1-111-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-2-44111122-2-22-222-1-1-1-111000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-24-41111-2-222222-211-1-1-1-1000000000000000000000000000000
χ3744-4-444-4-400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-2-2242-4-400-2-222000000000000000000000000000000000023−2300000000
χ3944-4-444-4-4000004-2-2242-4-400-2-2220000000000000000000000000000000000−232300000000
χ4044-4-444-4-400000-244-4-2-42200-2-22200000000000000000000000000000000−2i32i30000000000
χ4144-4-444-4-400000-244-4-2-42200-2-222000000000000000000000000000000002i3−2i30000000000
χ424-44-44-4-440000044-44-4-44-4004-4-4400000000000000000000000000000000000000000000
χ434-44-44-4-44000004-22-2-424-400-222-20000000000000000000000000000−2i32i300000000000000
χ444-44-44-4-44000004-22-2-424-400-222-200000000000000000000000000002i3−2i300000000000000
χ454-44-44-4-4400000-24-442-4-2200-222-200000000000000000000000000000000000023−23000000
χ464-44-44-4-4400000-24-442-4-2200-222-2000000000000000000000000000000000000−2323000000
χ474-4-444-44-40000044-4-4-44-44004-44-400000000000000000000000000000000000000000000
χ484-4-444-44-4000004-222-4-2-4400-22-22−2i32i3000000−2i32i30000000000000000000000000000000000
χ494-4-444-44-4000004-222-4-2-4400-22-222i3−2i30000002i3−2i30000000000000000000000000000000000
χ504-4-444-44-400000-24-4-4242-200-22-220023−230000000023−23000000000000000000000000000000
χ514-4-444-44-400000-24-4-4242-200-22-2200−232300000000−2323000000000000000000000000000000
χ524-4-444-44-400000-2-2222-22-2001-11-1−2i32i323−230000i3−i33i−3i−33000000000000000000000000000000
χ534-4-444-44-400000-2-2222-22-2001-11-1−2i32i3−23230000i3−i3−3i3i3−3000000000000000000000000000000
χ544-4-444-44-400000-2-2222-22-2001-11-12i3−2i323−230000−i3i3−3i3i−33000000000000000000000000000000
χ554-4-444-44-400000-2-2222-22-2001-11-12i3−2i3−23230000−i3i33i−3i3−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000000202200200-1-100-1-100000000-1-100
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000000-20-2-200-200110011000000001100
χ586666-3-3-3-36-6-6-3-30000000033000000000000000000000202-200-200-1-100-1-1000000001100
χ596666-3-3-3-36-6-6-3-30000000033000000000000000000000-20-220020011001100000000-1-100
χ606666-3-3-3-3-66-633000000003-300000000000000000000020-2-200200-1-1001100000000-1100
χ616666-3-3-3-3-66-633000000003-3000000000000000000000-202200-2001100-1-1000000001-100
χ626666-3-3-3-3-6-663300000000-3300000000000000000000020-2200-200-1-10011000000001-100
χ636666-3-3-3-3-6-663300000000-33000000000000000000000-202-2002001100-1-100000000-1100
χ6488-8-888-8-800000-4-4-44-44440022-2-200000000000000000000000000000000000000000000
χ658-88-88-8-8800000-4-44-444-44002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-6-666000000000000000000000000000000000000000000000−2i32i30000000000000000
χ671212-12-12-6-6660000000000000000000000000000000000000000000002i3−2i30000000000000000
χ6812-1212-12-666-60000000000000000000000000000000000000000000000000−2i32i3000000000000
χ6912-1212-12-666-600000000000000000000000000000000000000000000000002i3−2i3000000000000
χ7012-12-1212-66-6600063−630000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-66-66000−63630000000000000000000000000000000000000000000000000000000000

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