Finite Group Databasebeta

← Group #11895758

Character table — Group #11895758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666622366612121212442666681212242424242424242444488121212126666662244812121212121224242424444488664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-11111111-11-111-111-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1111111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-111-1-11-111-1-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-11111111111111111-11111-1-111111111-11-11-1-11-1-111-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11-1-111-11-1-11111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-1111-1-11-11-1-1-111-1-111-1-1-1-1111-11
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
χ1211111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-11-1111-1-111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111-1-1111111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-11111-1-111-1-1-1-1-1-11-11-1-1-1111-1-1-1-111-1-111-1-11-11
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
χ17222222-2-2222222002222-2-2-2-222000000-2-200000000-22-200222200000000000-2-2000000002-20000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-220022-2-200000000000-2200000000-220000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-200-2-222000000000002-200000000-220000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-2200-2-2-2-20000000000022000000002-20000000
χ2122222-1222-12-12-122-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-10222200-1-12-1-1-1-1-1020200-100-1-100-1-10000000-10
χ2222222-1222-12-12-122-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-10-2-2-2-200112-1-1-1-1-10-20-200100110011000000010
χ2322222-1222-12-12-122-1-1-1-12-12-100-222-1-1-2-1-1-2-2111111022-2-200-1-1-21-1-1110-20200-100-1-10011000000010
χ2422222-1222-12-12-122-1-1-1-12-12-100-222-1-1-2-1-1-2-21111110-2-2220011-21-1-111020-2001001100-1-10000000-10
χ2522222-1222-12-12-1-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-2111111022-2-200-1-12-111-1-1020-200-1001100110000000-10
χ2622222-1222-12-12-1-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-21111110-2-22200112-111-1-10-20200100-1-100-1-1000000010
χ2722222-1222-12-12-1-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-10222200-1-1-2111110-20-200-1001100-1-1000000010
χ2822222-1222-12-12-1-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-10-2-2-2-20011-211111020200100-1-100110000000-10
χ292222-1222-12-12-1222-1-1-1-1-12-12222-1-1222-1-1-1-122-1-1-1-120000-1-100-12-1-1-1-120202-10-1-100-1-100000000-100
χ302222-1222-12-12-1222-1-1-1-1-12-1222-2-1-122-2-1-111-2-2111120000-1-1001-2-1-111-2020-2-10-1-1001100000000100
χ312222-1222-12-12-1222-1-1-1-1-12-12-2-22-1-1222-1-1-1-122-1-1-1-1-200001100-12-1-1-1-1-20-20-21011001100000000100
χ322222-1222-12-12-1222-1-1-1-1-12-12-2-2-2-1-122-2-1-111-2-21111-2000011001-2-1-11120-202101100-1-100000000-100
χ332222-1222-12-12-12-2-2-1-1-1-1-12-1222211-2-2-2-1-111-2-2111120000-1-100-1211-1-120-20-2-1011001100000000-100
χ342222-1222-12-12-12-2-2-1-1-1-1-12-1222-211-2-22-1-1-1-122-1-1-1-120000-1-1001-21111-20-202-101100-1-100000000100
χ352222-1222-12-12-12-2-2-1-1-1-1-12-12-2-2211-2-2-2-1-111-2-21111-200001100-1211-1-1-2020210-1-100-1-100000000100
χ362222-1222-12-12-12-2-2-1-1-1-1-12-12-2-2-211-2-22-1-1-1-122-1-1-1-1-2000011001-211112020-210-1-1001100000000-100
χ3722-2-2222-222-2-2-2-22-22-2-22-2-2220002-22-20-2200000000000000000002-200000000000000000002i−2i2i−2i000
χ3822-2-2222-222-2-2-2-22-22-2-22-2-2220002-22-20-2200000000000000000002-20000000000000000000−2i2i−2i2i000
χ3922-2-2222-222-2-2-2-2-222-2-22-2-222000-22-220-220000000000000000000-2200000000000000000002i−2i−2i2i000
χ4022-2-2222-222-2-2-2-2-222-2-22-2-222000-22-220-220000000000000000000-220000000000000000000−2i2i2i−2i000
χ4144444-2-4-44-24-24-200-2-2-2-2-42-4200000000220000000004-40000-2-2000000000000200000000000000000
χ4244444-2-4-44-24-24-200-2-2-2-2-42-420000000022000000000-44000022000000000000-200000000000000000
χ434444-24-4-4-24-24-2400-2-2-2-22-42-4440000002200000000-40000-2-200000000000002000000000000000000
χ444444-24-4-4-24-24-2400-2-2-2-22-42-4-4-4000000220000000040000220000000000000-2000000000000000000
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
χ4944-4-444-4444-4-4-4-4004-4-4444-4-4000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-424-4-222-2-424-20004-4-2202-20000000000000000000-2200000000000000000000000000
χ5144-4-44-24-44-2-42-42-44-222-2-424-2000-442-202-200000000000000000002-200000000000000000000000000
χ5244-4-44-2-444-2-42-4200-222-24-2-4200000000-220000000000000000000000000000000023−230000000000000
χ5344-4-44-2-444-2-42-4200-222-24-2-4200000000-2200000000000000000000000000000000−23230000000000000
χ5444-4-4-244-4-242-42-44-4-222-22-4-24000-224-402-20000000000000000000-2200000000000000000000000000
χ5544-4-4-244-4-242-42-4-44-222-22-4-240002-2-4402-200000000000000000002-200000000000000000000000000
χ5644-4-4-24-44-242-42-400-222-2-242-400000000-2200000000000000000000000000000023−23000000000000000
χ5744-4-4-24-44-242-42-400-222-2-242-400000000-22000000000000000000000000000000−2323000000000000000
χ5844-4-4-2-24-4-2-222224-41-1-1122-2-2000-22-220-11000033-3-3000000000001-13-3000000000000000000000000
χ5944-4-4-2-24-4-2-222224-41-1-1122-2-2000-22-220-110000-3-333000000000001-1-33000000000000000000000000
χ6044-4-4-2-24-4-2-22222-441-1-1122-2-20002-22-20-11000033-3-300000000000-11-33000000000000000000000000
χ6144-4-4-2-24-4-2-22222-441-1-1122-2-20002-22-20-110000-3-33300000000000-113-3000000000000000000000000
χ624-44-44400-4-44-4-440044-4-4000000000000000000000000022−220000000000000000000000022−22000000000
χ634-44-44400-4-44-4-440044-4-40000000000000000000000000−222200000000000000000000000−2222000000000
χ644-44-44-200-4242-4-200-2-2220000000000000000i6−i6i6−i6i6−i600022−2200−2i32i30000000000000000000−22000000000
χ654-44-44-200-4242-4-200-2-2220000000000000000i6−i6i6−i6i6−i6000−2222002i3−2i300000000000000000002−2000000000
χ664-44-44-200-4242-4-200-2-2220000000000000000−i6i6−i6i6−i6i600022−22002i3−2i30000000000000000000−22000000000
χ674-44-44-200-4242-4-200-2-2220000000000000000−i6i6−i6i6−i6i6000−222200−2i32i300000000000000000002−2000000000
χ684-4-444400-4-4-444-4004-44-400004-40000000000000000000004-400000000000000000000000000000000
χ694-4-444400-4-4-444-4004-44-40000-44000000000000000000000-4400000000000000000000000000000000
χ704-4-44-24002-424-2-400-22-2200004-400000000i6−i600i6−i6−i6i600000-220000000000000000000i6−i600000000000
χ714-4-44-24002-424-2-400-22-2200004-400000000−i6i600−i6i6i6−i600000-220000000000000000000−i6i600000000000
χ724-4-44-24002-424-2-400-22-220000-4400000000i6−i600i6−i6−i6i6000002-20000000000000000000−i6i600000000000
χ734-4-44-24002-424-2-400-22-220000-4400000000−i6i600−i6i6i6−i6000002-20000000000000000000i6−i600000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-44444002-2-22-4-444000000002-200000000000000000000000000000000000000000000000
χ768-88-8-48004-8-4-84800-4-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-444-40022-2-200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ788-88-8-4-40044-444-40022-2-20000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ798-8-888-400-84-8-48400-44-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-4-44002-22-2000000000000002i6−2i600−i6i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-400444-4-44002-22-200000000000000−2i62i600i6−i6−i6i6000000000000000000000000000000000000000

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