Finite Group Databasebeta

← Group #13148480

Character table — Group #13148480

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222444446666666688121212121212121224242424242424242424363636363636363636363636363636363636363636363636727272727272
order122236662446633666666121236661212121266661212121212122444444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11
χ311111111111111111111111111111111111111111-11-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1-111-1111111-1-111-1-1-1-1-11-11
χ6111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1-111-11-1-1111-1-1-1-111-1-1-1-111-1-111
χ7111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-11-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ8111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11111-1-1-1111111-1-111-1-11-11-1
χ911111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-111-11-11-1-1-11-111111-1-1-1-1-1-1-1-1-11111-1
χ1011111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-11-1111-1-1-11-11-111-1-1111111-1-11-11-1-1-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-1-111-1-1111-1-11-1-1-1-1-111-1-1-1-1111-1-1111
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-11-111-1-1-1-1-1-11-11111-11-1-111-1-1111111-11-1-1-11
χ1311111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-111111-1-1-1-1111-1-11111-1-111-1-1111-1-11-1-1
χ1411111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-1111-1-1-111-11-1-11111-1-111-1-11111-11-1-11-1
χ1511111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-111-11-11-1-11-11-111-1-1-1-11111-1-1-1-1-1111-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-1-11-1-111-1-111111-1-11-1-1-1-111-1-1-1-111-1-11-11-111
χ1722222222222222-1-1-1222-122-1-1-1-122-1-12-1-1-1-12-1-1-1-1200200220000-1-100000000-1-100-100-1
χ1822222222222222-1-1-1222-122-1-1-1-122-1-12-1-1-1-12-1-1-1-1-200-200-2-20000110000000011001001
χ192222222222222-1222-1-1-1222-1-1-1-1-1-122-12-1-12-1-1-1-1-1020022002000000000-1-1-1-100000-1-10
χ202222222222222-1222-1-1-1222-1-1-1-1-1-122-12-1-12-1-1-1-1-10-200-2-200-2000000000111100000110
χ21222222222-2-2222-1-1-1222-1-2-2-1-1-1-1-2-2112-1-1-11-21111200-2002-20000-1-1000000001100100-1
χ22222222222-2-2222-1-1-1222-1-2-2-1-1-1-1-2-2112-1-1-11-21111-200200-2200001100000000-1-100-1001
χ23222222222-2-222-1222-1-1-12-2-2-1-1-1-111-2-2-12-1-1-21111102002-200-200000000011-1-100000-110
χ24222222222-2-222-1222-1-1-12-2-2-1-1-1-111-2-2-12-1-1-2111110-200-22002000000000-1-111000001-10
χ2522222222-22-2-2-22-1-1-1222-12-2-1-1-1-12211-2111-1-2-1-111200200-2-20000-1-1000000001100-1001
χ2622222222-22-2-2-22-1-1-1222-12-2-1-1-1-12211-2111-1-2-1-111-200-2002200001100000000-1-100100-1
χ2722222222-22-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-21-21121-1-1110200-2200-2000000000111100000-1-10
χ2822222222-22-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-21-21121-1-1110-2002-2002000000000-1-1-1-100000110
χ2922222222-2-22-2-22-1-1-1222-1-22-1-1-1-1-2-2-1-1-21111211-1-1200-200-220000-1-100000000-1-1001001
χ3022222222-2-22-2-22-1-1-1222-1-22-1-1-1-1-2-2-1-1-21111211-1-1-2002002-2000011000000001100-100-1
χ3122222222-2-22-2-2-1222-1-1-12-22-1-1-1-111221-211-2-111-1-10200-2-2002000000000-1-11100000-110
χ3222222222-2-22-2-2-1222-1-1-12-22-1-1-1-111221-211-2-111-1-10-2002200-200000000011-1-1000001-10
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
χ3744-4-44-44-400000444-44-4-4-4004-44-400000000000000000000000000000000000000000000
χ3844-4-44-44-4000004-2-224-4-4200-22-2200000000000000000000000000000000000023−23000000
χ3944-4-44-44-4000004-2-224-4-4200-22-22000000000000000000000000000000000000−2323000000
χ4044-4-44-44-400000-244-4-222-400-22-220000000000000000000000000000000023−230000000000
χ4144-4-44-44-400000-244-4-222-400-22-2200000000000000000000000000000000−23230000000000
χ424-44-444-4-40000044-44-4-44-40044-4-400000000000000000000000000000000000000000000
χ434-44-444-4-4000004-22-2-4-44200-2-2220023−230000000023−23000000000000000000000000000000
χ444-44-444-4-4000004-22-2-4-44200-2-22200−232300000000−2323000000000000000000000000000000
χ454-44-444-4-400000-24-4422-2-400-2-22223−230000000023−2300000000000000000000000000000000
χ464-44-444-4-400000-24-4422-2-400-2-222−232300000000−232300000000000000000000000000000000
χ474-44-444-4-400000-2-22-222-220011-1-123−2323−23003-300−33−33000000000000000000000000000000
χ484-44-444-4-400000-2-22-222-220011-1-123−23−232300-3300−333−3000000000000000000000000000000
χ494-44-444-4-400000-2-22-222-220011-1-1−232323−2300-33003−3−33000000000000000000000000000000
χ504-44-444-4-400000-2-22-222-220011-1-1−2323−2323003-3003−33−3000000000000000000000000000000
χ514-4-444-4-440000044-4-4-44-44004-4-4400000000000000000000000000000000000000000000
χ524-4-444-4-44000004-222-44-4-200-222-200000000000000000000000000−2i32i30000000000000000
χ534-4-444-4-44000004-222-44-4-200-222-2000000000000000000000000002i3−2i30000000000000000
χ544-4-444-4-4400000-24-4-42-22400-222-2000000000000000000000000000000000023−2300000000
χ554-4-444-4-4400000-24-4-42-22400-222-20000000000000000000000000000000000−232300000000
χ566666-3-3-3-3666-3-300000000-3-300000000000000000000200000022200-1-1-1-1000000-1-10000
χ576666-3-3-3-3666-3-300000000-3-300000000000000000000-2000000-2-2-2001111000000110000
χ586666-3-3-3-36-6-6-3-30000000033000000000000000000002000000-2-22001111000000-1-10000
χ596666-3-3-3-36-6-6-3-3000000003300000000000000000000-200000022-200-1-1-1-1000000110000
χ606666-3-3-3-3-66-63300000000-33000000000000000000002000000-22-20011-1-1000000-110000
χ616666-3-3-3-3-66-63300000000-3300000000000000000000-20000002-2200-1-1110000001-10000
χ626666-3-3-3-3-6-6633000000003-30000000000000000000020000002-2-200-1-111000000-110000
χ636666-3-3-3-3-6-6633000000003-300000000000000000000-2000000-2220011-1-10000001-10000
χ6488-8-88-88-800000-4-4-44-4444002-22-200000000000000000000000000000000000000000000
χ658-8-888-8-8800000-4-4444-44-4002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-66-660000000000000000000000000000000000000000000000023−2300000000000000
χ671212-12-12-66-6600000000000000000000000000000000000000000000000−232300000000000000
χ6812-1212-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000
χ6912-1212-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000
χ7012-12-1212-666-60000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7112-12-1212-666-600000000000000000000000000000000000000000000000002i3−2i3000000000000

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