Finite Group Databasebeta

← Group #11888618

Character table — Group #11888618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666622366612121212442666681212242424242424242422488121212126666664444668121212122424242444448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-11111111-11-11-1111-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-111-11111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11-1-111-1-111-1-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-11111111111111111-11111-1-111111111-11-11-11-1-1-111-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-111-11-1-1-1-111-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-11-1-11111-1-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11-11111-1-111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-11111-1-111-1-1-1-1-1-11-11-1-11-111-1-1-1-111-1-111-1-11-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-200000000-22-20022-2-20000000000-220000000002-20000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-220022220000000000-2-2000000000-220000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-2000000000022000000000-220000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-2200-2-22200000000002-20000000002-20000000
χ2122222-1222-12-12-122-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-10222200-1-12-1-1-1-1-102020-1000-1-100-1-10000000-10
χ2222222-1222-12-12-122-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-10-2-2-2-200112-1-1-1-1-10-20-201000110011000000010
χ2322222-1222-12-12-122-1-1-1-12-12-100-222-1-1-2-1-1-2-2111111022-2-200-1-1-21-1-111020-20-1000-1-10011000000010
χ2422222-1222-12-12-122-1-1-1-12-12-100-222-1-1-2-1-1-2-21111110-2-2220011-21-1-1110-202010001100-1-10000000-10
χ2522222-1222-12-12-1-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-2111111022-2-200-1-12-111-1-10-2020-10001100110000000-10
χ2622222-1222-12-12-1-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-21111110-2-22200112-111-1-1020-201000-1-100-1-1000000010
χ2722222-1222-12-12-1-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-10222200-1-1-2111110-20-20-10001100-1-1000000010
χ2822222-1222-12-12-1-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-10-2-2-2-20011-211111020201000-1-100110000000-10
χ292222-1222-12-12-1222-1-1-1-1-12-12222-1-1222-1-1-1-122-1-1-1-120000-1-100-12-1-1-1-12020-102-1-100-1-100000000-100
χ302222-1222-12-12-1222-1-1-1-1-12-1222-2-1-122-2-1-111-2-2111120000-1-1001-2-1-11120-20-10-2-1-1001100000000100
χ312222-1222-12-12-1222-1-1-1-1-12-12-2-22-1-1222-1-1-1-122-1-1-1-1-200001100-12-1-1-1-1-20-2010-211001100000000100
χ322222-1222-12-12-1222-1-1-1-1-12-12-2-2-2-1-122-2-1-111-2-21111-2000011001-2-1-111-20201021100-1-100000000-100
χ332222-1222-12-12-12-2-2-1-1-1-1-12-1222211-2-2-2-1-111-2-2111120000-1-100-1211-1-1-2020-10-211001100000000-100
χ342222-1222-12-12-12-2-2-1-1-1-1-12-1222-211-2-22-1-1-1-122-1-1-1-120000-1-1001-21111-20-20-1021100-1-100000000100
χ352222-1222-12-12-12-2-2-1-1-1-1-12-12-2-2211-2-2-2-1-111-2-21111-200001100-1211-1-120-20102-1-100-1-100000000100
χ362222-1222-12-12-12-2-2-1-1-1-1-12-12-2-2-211-2-22-1-1-1-122-1-1-1-1-2000011001-21111202010-2-1-1001100000000-100
χ3722-2-2222-2-2-2-2-2222-22-2-2222-2-20002-22-20-2200000000000000000002-200000000000000000002i−2i2i−2i000
χ3822-2-2222-2-2-2-2-2222-22-2-2222-2-20002-22-20-2200000000000000000002-20000000000000000000−2i2i−2i2i000
χ3922-2-2222-2-2-2-2-222-222-2-2222-2-2000-22-220-220000000000000000000-2200000000000000000002i−2i−2i2i000
χ4022-2-2222-2-2-2-2-222-222-2-2222-2-2000-22-220-220000000000000000000-220000000000000000000−2i2i2i−2i000
χ4144444-2-4-44-24-24-200-2-2-2-2-42-4200000000220000000004-400002200000000000-2000000000000000000
χ4244444-2-4-44-24-24-200-2-2-2-2-42-420000000022000000000-440000-2-2000000000002000000000000000000
χ434444-24-4-4-24-24-2400-2-2-2-22-42-4440000002200000000-40000-2-200000000000020000000000000000000
χ444444-24-4-4-24-24-2400-2-2-2-22-42-4-4-400000022000000004000022000000000000-20000000000000000000
χ454444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2411-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-4112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-42222411-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444-44-4-4-4-444004-4-44-4-444000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-4-42-424-24-4-222-24-2-420004-4-2202-20000000000000000000-2200000000000000000000000000
χ5144-4-44-24-4-42-424-2-44-222-24-2-42000-442-202-200000000000000000002-200000000000000000000000000
χ5244-4-44-2-44-42-424-200-222-2-424-200000000-2200000000000000000000000000000000−2i32i30000000000000
χ5344-4-44-2-44-42-424-200-222-2-424-200000000-22000000000000000000000000000000002i3−2i30000000000000
χ5444-4-4-244-42-42-4-244-4-222-2-242-4000-224-402-20000000000000000000-2200000000000000000000000000
χ5544-4-4-244-42-42-4-24-44-222-2-242-40002-2-4402-200000000000000000002-200000000000000000000000000
χ5644-4-4-24-442-42-4-2400-222-22-4-2400000000-22000000000000000000000000000000−2i32i3000000000000000
χ5744-4-4-24-442-42-4-2400-222-22-4-2400000000-220000000000000000000000000000002i3−2i3000000000000000
χ5844-4-4-2-24-42222-2-24-41-1-11-2-222000-22-220-11000033-3-3000000000001-13-3000000000000000000000000
χ5944-4-4-2-24-42222-2-24-41-1-11-2-222000-22-220-110000-3-333000000000001-1-33000000000000000000000000
χ6044-4-4-2-24-42222-2-2-441-1-11-2-2220002-22-20-11000033-3-300000000000-11-33000000000000000000000000
χ6144-4-4-2-24-42222-2-2-441-1-11-2-2220002-22-20-110000-3-33300000000000-113-3000000000000000000000000
χ624-44-444004-4-44-4-40044-4-400004i−4i0000000000000000000004i−4i00000000000000000000000000000000
χ634-44-444004-4-44-4-40044-4-40000−4i4i000000000000000000000−4i4i00000000000000000000000000000000
χ644-44-4-2400-2-4242-400-2-22200004i−4i00000000i6−i600i6−i6i6−i600000−2i2i00000000000000000006−600000000000
χ654-44-4-2400-2-4242-400-2-22200004i−4i00000000−i6i600−i6i6−i6i600000−2i2i0000000000000000000−6600000000000
χ664-44-4-2400-2-4242-400-2-2220000−4i4i00000000i6−i600i6−i6i6−i6000002i−2i0000000000000000000−6600000000000
χ674-44-4-2400-2-4242-400-2-2220000−4i4i00000000−i6i600−i6i6−i6i6000002i−2i00000000000000000006−600000000000
χ684-4-444400-444-4-4-4004-44-40000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ694-4-444400-444-4-4-4004-44-400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ704-4-444-200-4-242-4200-22-220000000000000000i6−i6i6−i6−i6i6000−2i22i20023−230000000000000000000i2−i2000000000
χ714-4-444-200-4-242-4200-22-220000000000000000i6−i6i6−i6−i6i60002i2−2i200−23230000000000000000000−i2i2000000000
χ724-4-444-200-4-242-4200-22-220000000000000000−i6i6−i6i6i6−i6000−2i22i200−23230000000000000000000i2−i2000000000
χ734-4-444-200-4-242-4200-22-220000000000000000−i6i6−i6i6i6−i60002i2−2i20023−230000000000000000000−i2i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-884444-4-4002-2-2244-4-4000000002-200000000000000000000000000000000000000000000000
χ768-88-88-40084-8-4-8400-4-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400-444-4440022-2-2000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ788-88-8-4-400-444-4440022-2-200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ798-8-88-480048-4-84-800-44-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004-4-4444002-22-200000000000000002i6−2i6−i6i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-4004-4-4444002-22-20000000000000000−2i62i6i6−i6−i6i6000000000000000000000000000000000000000

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