Finite Group Databasebeta

← Group #11896061

Character table — Group #11896061

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666663446661212121244481212121212122424242424242424444881212121212121212121224448121212121212242424244444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-111-1-1111111-111-11111-1-1-111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1111111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-11-1-1111-1-1-1-1-111-111-1111-1-1
χ5111111111111111111111111-1-111111111111111111-1111-1-1111111111-1-11-1-1-1-1111-1-111-1-1-1-1-1-11-1-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-11-111-1-1-111111-1-1-111-111-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-111111-1-11-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11111-1-1-11-1-11-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-11-11-11-1-1-111-1-111-1-1-1-111-111
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-111111-1-1111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-11111-1-1-111-1-1-11-11
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1111-11-11-1111-1-111-1-1-1-1-1-1111-11
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111-111-11111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-1111-1-111-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-111-1-1-1-111
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-11-1-111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-200222200000000000-200-2000000200-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022-2-200000000000-2002000000-200200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-22200000000000200-2000000-200200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-22200-2-2-2-2000000000002002000000200-200000
χ2122222-1222-1-12-12-122-1-1-1-12-120022-1-122-1-122-1-1-1-1-1-12022200-1-1-12-1-1-1-120020000-1-1-100-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-1-12-120022-1-122-1-122-1-1-1-1-1-1-20-2-2-20011-12-1-1-1-1-200-200001110011000000100
χ2322222-1222-1-12-12-122-1-1-1-12-1200-2-2-1-122-1-1-2-2111111202-2-200-1-11-2-1-111-20020000-1-1-10011000000100
χ2422222-1222-1-12-12-122-1-1-1-12-1200-2-2-1-122-1-1-2-2111111-20-22200111-2-1-111200-2000011100-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-12002-211-2-2-1-1-2-2111111202-2-200-1-1-1211-1-1200-20000-1110011000000-100
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-12002-211-2-2-1-1-2-2111111-20-2220011-1211-1-1-200200001-1-100-1-1000000100
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-1200-2211-2-2-1-122-1-1-1-1-1-12022200-1-11-21111-200-20000-11100-1-1000000100
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-1200-2211-2-2-1-122-1-1-1-1-1-1-20-2-2-200111-21111200200001-1-10011000000-100
χ292222-1222-122-12-1-122-1-1-12-12-1222222-1-1-1-1-1-122-1-1-1-102000-1-1002-1-1-1-1-102202-1-1-1000-1-1000000000-10
χ302222-1222-122-12-1-122-1-1-12-12-122-2-222-1-1-1-111-2-2111102000-1-100-21-1-1110-220-2-1-1-10001100000000010
χ312222-1222-122-12-1-122-1-1-12-12-1-2-22222-1-1-1-1-1-122-1-1-1-10-200011002-1-1-1-1-10-2-20-21110001100000000010
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-2-222-1-1-1-111-2-211110-20001100-21-1-11102-202111000-1-1000000000-10
χ332222-1222-122-12-1-1-2-2-1-1-12-12-1222-2-2-211-1-111-2-2111102000-1-1002-111-1-102-20-2-11100011000000000-10
χ342222-1222-122-12-1-1-2-2-1-1-12-12-122-22-2-211-1-1-1-122-1-1-1-102000-1-100-2111110-2-202-111000-1-100000000010
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2-22-2-2-211-1-111-2-211110-200011002-111-1-10-22021-1-1000-1-100000000010
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-22-2-211-1-1-1-122-1-1-1-10-20001100-2111110220-21-1-100011000000000-10
χ3722-2-2222-2-2-22-2-2222-2-2-22-2-22200002-22-2-2200000000000000000002-20000000000000000002i−2i02i−2i000
χ3822-2-2222-2-2-22-2-2222-2-2-22-2-22200002-22-2-2200000000000000000002-2000000000000000000−2i2i0−2i2i000
χ3922-2-2222-2-2-22-2-222-22-2-22-2-2220000-22-22-220000000000000000000-220000000000000000002i−2i0−2i2i000
χ4022-2-2222-2-2-22-2-222-22-2-22-2-2220000-22-22-220000000000000000000-22000000000000000000−2i2i02i−2i000
χ4144444-2-4-44-2-24-24-200-2-2-22-42-400000000220000000040-40000-2-2000000000000002000000000000000
χ4244444-2-4-44-2-24-24-200-2-2-22-42-4000000002200000000-40400002200000000000000-2000000000000000
χ434444-24-4-4-244-24-2-200-2-2-2-42-424400000022000000000-4000-2-200000000000002000000000000000000
χ444444-24-4-4-244-24-2-200-2-2-2-42-42-4-4000000220000000004000220000000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444-44-4-44-4-44400-4-4444-4-4000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-4-42-2-424-24-422-22-4-240000-224-42-20000000000000000000-2200000000000000000000000000
χ5144-4-44-24-4-42-2-424-2-4422-22-4-2400002-2-442-200000000000000000002-200000000000000000000000000
χ5244-4-44-2-44-42-2-424-20022-2-242-400000000-220000000000000000000000000000000023−230000000000000
χ5344-4-44-2-44-42-2-424-20022-2-242-400000000-2200000000000000000000000000000000−23230000000000000
χ5444-4-4-244-42-442-4-2-24-422-2-424-200004-4-222-20000000000000000000-2200000000000000000000000000
χ5544-4-4-244-42-442-4-2-2-4422-2-424-20000-442-22-200000000000000000002-200000000000000000000000000
χ5644-4-4-24-442-442-4-2-20022-24-2-4200000000-220000000000000000000000000000023−230000000000000000
χ5744-4-4-24-442-442-4-2-20022-24-2-4200000000-2200000000000000000000000000000−23230000000000000000
χ5844-4-4-2-24-422-222-214-4-1-1122-2-20000-22-22-11000033-3-3000000000001-13-3000000000000000000000000
χ5944-4-4-2-24-422-222-214-4-1-1122-2-20000-22-22-110000-3-333000000000001-1-33000000000000000000000000
χ6044-4-4-2-24-422-222-21-44-1-1122-2-200002-22-2-11000033-3-300000000000-11-33000000000000000000000000
χ6144-4-4-2-24-422-222-21-44-1-1122-2-200002-22-2-110000-3-33300000000000-113-3000000000000000000000000
χ624-44-4440044-4-4-4-44004-4-400004-40000000000000000000004-400000000000000000000000000000000
χ634-44-4440044-4-4-4-44004-4-40000-44000000000000000000000-4400000000000000000000000000000000
χ644-44-4-2400-24-42-42-200-22200004-400000000i6−i600i6−i6i6−i600000-220000000000000000000i6−i600000000000
χ654-44-4-2400-24-42-42-200-22200004-400000000−i6i600−i6i6−i6i600000-220000000000000000000−i6i600000000000
χ664-44-4-2400-24-42-42-200-2220000-4400000000i6−i600i6−i6i6−i6000002-20000000000000000000−i6i600000000000
χ674-44-4-2400-24-42-42-200-2220000-4400000000−i6i600−i6i6−i6i6000002-20000000000000000000i6−i600000000000
χ684-4-444400-4-4-444-4400-44-40000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ694-4-444400-4-4-444-4400-44-400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ704-4-444-200-4224-2-4-2002-220000000000000000i6−i6i6−i6−i6i6000−2i22i20023−230000000000000000000i2−i2000000000
χ714-4-444-200-4224-2-4-2002-220000000000000000i6−i6i6−i6−i6i60002i2−2i200−23230000000000000000000−i2i2000000000
χ724-4-444-200-4224-2-4-2002-220000000000000000−i6i6−i6i6i6−i6000−2i22i200−23230000000000000000000i2−i2000000000
χ734-4-444-200-4224-2-4-2002-220000000000000000−i6i6−i6i6i6−i60002i2−2i20023−230000000000000000000−i2i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-8844-444-4200-2-22-4-444000000002-200000000000000000000000000000000000000000000000
χ768-88-88-4008-44-84-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400-4-444442002-2-2000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ788-88-8-4-400-4-444442002-2-200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ798-8-88-48004-8-8-484-4004-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-4-44200-22-200000000000000002i6−2i6−i6i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-400444-4-44200-22-20000000000000000−2i62i6i6−i6−i6i6000000000000000000000000000000000000000

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