Finite Group Databasebeta

← Group #13148690

Character table — Group #13148690

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order122236662446633666666121236661212121266661212121212122222244444446666661212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-11-1111111-1-111-1-1-1-1-11-11
χ6111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-11-11-1-111111-1-111-1-111-11-1-11-1
χ7111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-11-1-1-1-111-1-1-1-1111-1111-1
χ8111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-111-1-1-1-1-1-1-11111-1-1111-1-11
χ911111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-11-1111-1-11-1-1-1111-1-111-1-1111111-1-1-1-1
χ1011111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-11-11-1-111-11-11-111-1-1-1-111-1-1-1-11-1-1111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-1-11-111-1-1-1111-1-1-11111-1-1-1-1-1-1-111-111
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-1-11-1-1-1111-11-11-1-111-1-1111111-1-111-1-1
χ1311111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-1111-1-11-1-11111-1-111-1-1111111-1-1-1-11-11-1
χ1411111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-1111-1-1-111-1-1-111111-1-1-1-1-1-1-1-111-1111-11
χ1511111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-111-1111-1-11-1-1-111-1-1111111-1-1111-1-1-1-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-111-111-111-111-1-1-1-1-111-1-1-1-111-1-111-111-1
χ1722222222222222-1-122-1-1222-1-1-1-122-1-12-1-1-1-12-1-1-1-10002222000000000-1-1-1-100000-10-100
χ1822222222222222-1-122-1-1222-1-1-1-122-1-12-1-1-1-12-1-1-1-1000-2-2-2-200000000011110000010100
χ192222222222222-122-1-122-122-1-1-1-1-1-122-12-1-12-1-1-1-1-100000002202200000000-1-1-1-10000-1-1
χ202222222222222-122-1-122-122-1-1-1-1-1-122-12-1-12-1-1-1-1-10000000-2-20-2-2000000001111000011
χ21222222222-2-2222-1-122-1-12-2-2-1-1-1-1-2-2112-1-1-11-211110002-22-2000000000-1-1110000010-100
χ22222222222-2-2222-1-122-1-12-2-2-1-1-1-1-2-2112-1-1-11-21111000-22-2200000000011-1-100000-10100
χ23222222222-2-222-122-1-122-1-2-2-1-1-1-111-2-2-12-1-1-21111100000002-202-200000000-1-11100001-1
χ24222222222-2-222-122-1-122-1-2-2-1-1-1-111-2-2-12-1-1-2111110000000-220-220000000011-1-10000-11
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-12211-2111-1-2-1-11100022-2-2000000000-1-11100000-10100
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-12211-2111-1-2-1-111000-2-22200000000011-1-10000010-100
χ2722222222-22-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-21-21121-1-11100000002-20-2200000000-1-1-1-1000011
χ2822222222-22-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-21-21121-1-1110000000-2202-20000000011110000-1-1
χ2922222222-2-22-2-22-1-122-1-12-22-1-1-1-1-2-2-1-1-21111211-1-10002-2-22000000000-1-1-1-10000010100
χ3022222222-2-22-2-22-1-122-1-12-22-1-1-1-1-2-2-1-1-21111211-1-1000-222-2000000000111100000-10-100
χ3122222222-2-22-2-2-122-1-122-1-22-1-1-1-111221-211-2-111-1-10000000220-2-200000000-1-1110000-11
χ3222222222-2-22-2-2-122-1-122-1-22-1-1-1-111221-211-2-111-1-10000000-2-20220000000011-1-100001-1
χ334444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-211-2-21111000000000000000000000000000000
χ34444444444-4-444-2-2-2-2-2-2-2-2-4-411112222-2-21122-1-1-1-1000000000000000000000000000000
χ3544444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22222-1-1-2211-1-1000000000000000000000000000000
χ3644444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-222-1-12-2-1-111000000000000000000000000000000
χ3744-4-444-4-40000044-44-44-4-4004-44-400000000000000000000000000000000000000000000
χ3844-4-444-4-4000004-224-4-22-400-22-22000000000000000000000000000000−2i32i3000000000000
χ3944-4-444-4-4000004-224-4-22-400-22-220000000000000000000000000000002i3−2i3000000000000
χ4044-4-444-4-400000-24-4-224-4200-22-22000000000000000000000000000000000023−2300000000
χ4144-4-444-4-400000-24-4-224-4200-22-220000000000000000000000000000000000−232300000000
χ424-44-44-44-40000044-4-44-44-4004-4-4400000000000000000000000000000000000000000000
χ434-44-44-44-4000004-22-442-2-400-222-200000000000000000000000000000000−2i32i30000000000
χ444-44-44-44-4000004-22-442-2-400-222-2000000000000000000000000000000002i3−2i30000000000
χ454-44-44-44-400000-24-42-2-44200-222-200000000000000000000000000000000000023−23000000
χ464-44-44-44-400000-24-42-2-44200-222-2000000000000000000000000000000000000−2323000000
χ474-4-444-4-4400000444-4-4-4-440044-4-400000000000000000000000000000000000000000000
χ484-4-444-4-44000004-2-2-4-422400-2-2220023−230000000023−23000000000000000000000000000000
χ494-4-444-4-44000004-2-2-4-422400-2-22200−232300000000−2323000000000000000000000000000000
χ504-4-444-4-4400000-24422-4-4-200-2-22223−230000000023−2300000000000000000000000000000000
χ514-4-444-4-4400000-24422-4-4-200-2-222−232300000000−232300000000000000000000000000000000
χ524-4-444-4-4400000-2-2-22222-20011-1-123−2323−23003-300−33−33000000000000000000000000000000
χ534-4-444-4-4400000-2-2-22222-20011-1-123−23−232300-3300−333−3000000000000000000000000000000
χ544-4-444-4-4400000-2-2-22222-20011-1-1−232323−2300-33003−3−33000000000000000000000000000000
χ554-4-444-4-4400000-2-2-22222-20011-1-1−2323−2323003-3003−33−3000000000000000000000000000000
χ566666-3-3-3-3666-3-300000000-3-3000000000000000000222000000200-1-1-1-100000000-10-1000
χ576666-3-3-3-3666-3-300000000-3-3000000000000000000-2-2-2000000-200111100000000101000
χ586666-3-3-3-36-6-6-3-3000000003300000000000000000022-2000000-200-1-1-1-100000000101000
χ596666-3-3-3-36-6-6-3-30000000033000000000000000000-2-22000000200111100000000-10-1000
χ606666-3-3-3-3-66-63300000000-330000000000000000002-22000000-200-1-11100000000-101000
χ616666-3-3-3-3-66-63300000000-33000000000000000000-22-200000020011-1-10000000010-1000
χ626666-3-3-3-3-6-6633000000003-30000000000000000002-2-2000000200-1-1110000000010-1000
χ636666-3-3-3-3-6-6633000000003-3000000000000000000-222000000-20011-1-100000000-101000
χ6488-8-888-8-800000-4-44-44-444002-22-200000000000000000000000000000000000000000000
χ658-88-88-88-800000-4-444-44-44002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-6-666000000000000000000000000000000000000000000000−2i32i30000000000000000
χ671212-12-12-6-6660000000000000000000000000000000000000000000002i3−2i30000000000000000
χ6812-1212-12-66-6600000000000000000000000000000000000000000000000−2i32i300000000000000
χ6912-1212-12-66-66000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7012-12-1212-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000
χ7112-12-1212-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000

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