Finite Group Databasebeta

← Group #11897599

Character table — Group #11897599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order1222334466666622366688121212124666612122424242424242424444412121212661212121244444488121212121212242424242248812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1111111-1-11-11-11-11-111-1-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111111111-1-1-11-11-11-11-1-111-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-111-1-111-111-1-1-1-11111-111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-11-1-111-1-11-1-11111-1-111-1111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11-1-1111
χ911111111111111-1-11111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-1-111-1-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-11-11-1-11-1111-1-1-1-11111-1-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-11-1-11-111-1-1-111-1-111-1-1-1111-11
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-111-11-1-1111-1-111-1-1-1-1-111-111
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111111-1-1-1-1-1
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-2-2-2-2-2-200000022000000220000000000-200000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-2-22-2-222000000-2-20000002-20000000000200000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-222-222-2-2000000-2-2000000-220000000000200000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-222222200000022000000-2-20000000000-200000
χ2122222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1020200-1-1-1-12-1-1-1000202020-100-1-100-1-1000000-10
χ2222222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-20-20011-1-12-1-1-1000-20-20-2010011001100000010
χ2322222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111020200-1-1-1-1-2111000-2020-20-100-1-1001100000010
χ2422222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-20-20011-1-1-211100020-20201001100-1-1000000-10
χ2522222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020200-1-111-2111000-20-2020-1001100-1-100000010
χ2622222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-20-2001111-21110002020-20100-1-10011000000-10
χ2722222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-2111111020200-1-1112-1-1-100020-20-20-100110011000000-10
χ2822222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-21111110-20-20011112-1-1-1000-202020100-1-100-1-100000010
χ292222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-12020-1-100-1-1-12-1-100202020-10-1-100-1-10000000-100
χ302222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-201100-1-1-12-1-100-20-20-20101100110000000100
χ312222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-211112020-1-100-1-11-21100-2020-20-10-1-100110000000100
χ322222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-201100-1-11-2110020-2020101100-1-10000000-100
χ332222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-12020-1-100111-21100-20-2020-101100-1-10000000100
χ342222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-201100111-211002020-2010-1-100110000000-100
χ352222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-211112020-1-10011-12-1-10020-20-20-101100110000000-100
χ362222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-20110011-12-1-100-20202010-1-100-1-10000000100
χ3722-2-222-2222-2-2-2-22-22-22-20022-2-202-22-22-200000000000000002-200000000000000000000002-202-2000
χ3822-2-222-2222-2-2-2-22-22-22-20022-2-202-22-22-200000000000000002-20000000000000000000000-220-22000
χ3922-2-222-2222-2-2-2-2-222-22-20022-2-20-22-222-20000000000000000-2200000000000000000000002-20-22000
χ4022-2-222-2222-2-2-2-2-222-22-20022-2-20-22-222-20000000000000000-220000000000000000000000-2202-2000
χ4144444-2-4-44-24-24-200-2-2-2-200-42-42000002200000000040-40022000000000000000-20000000000000000
χ4244444-2-4-44-24-24-200-2-2-2-200-42-420000022000000000-40400-2-200000000000000020000000000000000
χ434444-24-4-4-24-24-2400-2-2-2-2002-42-400000220000000040-40220000000000000000-200000000000000000
χ444444-24-4-4-24-24-2400-2-2-2-2002-42-4000002200000000-4040-2-20000000000000000200000000000000000
χ454444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-211110000000011-2-21100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000001122-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-2111100000000-1-122-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-100000000-1-1-2-21100000000000000000000000000
χ4944-4-4444-444-4-4-4-4004-44-400-4-44400000-44000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-4200-22-2200-424-2000002-2000000000000000000000000000000000023−23000000000000
χ5144-4-44-24-44-2-42-4200-22-2200-424-2000002-20000000000000000000000000000000000−2323000000000000
χ5244-4-44-2-444-2-42-424-4-22-22004-2-4204-4-22-220000000000000000-22000000000000000000000000000000
χ5344-4-44-2-444-2-42-42-44-22-22004-2-420-442-2-2200000000000000002-2000000000000000000000000000000
χ5444-4-4-244-4-242-42-400-22-22002-4-24000002-20000000000000000000000000000000023−2300000000000000
χ5544-4-4-244-4-242-42-400-22-22002-4-24000002-200000000000000000000000000000000−232300000000000000
χ5644-4-4-24-44-242-42-44-4-22-2200-242-40-224-4-220000000000000000-22000000000000000000000000000000
χ5744-4-4-24-44-242-42-4-44-22-2200-242-402-2-44-2200000000000000002-2000000000000000000000000000000
χ5844-4-4-2-2-44-2-222224-41-11-100-2-2220-22-221-100003i3i−3i−3i000000001-1003i−3i00000000000000000000000000
χ5944-4-4-2-2-44-2-222224-41-11-100-2-2220-22-221-10000−3i−3i3i3i000000001-100−3i3i00000000000000000000000000
χ6044-4-4-2-2-44-2-22222-441-11-100-2-22202-22-21-100003i3i−3i−3i00000000-1100−3i3i00000000000000000000000000
χ6144-4-4-2-2-44-2-22222-441-11-100-2-22202-22-21-10000−3i−3i3i3i00000000-11003i−3i00000000000000000000000000
χ624-44-44400-4-444-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ634-44-44400-4-444-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ644-44-44-200-424-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000023−230000000000000000000000i6−i600000000
χ654-44-44-200-424-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000−23230000000000000000000000−i6i600000000
χ664-44-44-200-424-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000023−230000000000000000000000−i6i600000000
χ674-44-44-200-424-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000−23230000000000000000000000i6−i600000000
χ684-44-4-24002-4-242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000023−230000000000000000000000i6−i60000000000
χ694-44-4-24002-4-242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000−23230000000000000000000000−i6i60000000000
χ704-44-4-24002-4-242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000023−230000000000000000000000−i6i60000000000
χ714-44-4-24002-4-242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000−23230000000000000000000000i6−i60000000000
χ724-4-444400-4-4-4-444004-4-44000000000000000000000000000000000004-4000000000000000000000000
χ734-4-444400-4-4-4-444004-4-4400000000000000000000000000000000000-44000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4-44444002-22-20044-4-400000-22000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4440022-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ788-8-888-400-84-848-400-444-40000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-84-8-4800-444-40000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-4002-2-220000000000000000032−32−32320000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-4002-2-2200000000000000000−323232−320000000000000000000000000000000000000000

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