Finite Group Databasebeta

← Group #11836005

Character table — Group #11836005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111111122222222222222224444444488888888888888888888888888812121212121212121212121224242424242424242424242424242424242436363636363672
order12222222336666666666666636666666444121212121212121212121212121212121212121212121212222222224444446666666612121212121212122244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-11
χ6111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1
χ7111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1
χ8111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11
χ911111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1
χ1011111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111
χ1111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111
χ1211111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-11111-1-1-1
χ1311111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-111-1-11111-1-111-1-1-1-111-1-111-1
χ1411111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11
χ1511111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11
χ1611111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-1-111-1-1111111-1-111-1
χ17222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220022020000-1-1-1-10000-1-1-1-10000000
χ18222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20-200001111000011110000000
χ19222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-12-2-222-1-1-2-211-2-211-1-1-1-111111111000022-2-200220-20000-1-1110000-1-1110000000
χ20222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-12-2-222-1-1-2-211-2-211-1-1-1-1111111110000-2-22200-2-202000011-1-1000011-1-10000000
χ21222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1-22-2-2-21122-1-1-2-2111111-1-1-1-11111000022-2-200-2-2020000-1-111000011-1-10000000
χ22222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1-22-2-2-21122-1-1-2-2111111-1-1-1-111110000-2-22200220-2000011-1-10000-1-1110000000
χ23222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1-2-22-2-211-2-21122-1-111111111-1-1-1-10000222200-2-20-20000-1-1-1-1000011110000000
χ24222222222-1222-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1-2-22-2-211-2-21122-1-111111111-1-1-1-10000-2-2-2-2002202000011110000-1-1-1-10000000
χ2522222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000220020-1-1-1-10000-1-1-1-100000000000
χ2622222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200-2011110000111100000000000
χ2722222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-12-2-2-1-12211-2-211-2-2-1-1-1-11111111122-2-200002200-20-1-1110000-1-11100000000000
χ2822222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-12-2-2-1-12211-2-211-2-2-1-1-1-111111111-2-2220000-2-2002011-1-1000011-1-100000000000
χ2922222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1-22-211-2-2-1-12211-2-21111-1-1-1-1111122220000-2-200-20-1-1-1-10000111100000000000
χ3022222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1-22-211-2-2-1-12211-2-21111-1-1-1-11111-2-2-2-2000022002011110000-1-1-1-100000000000
χ3122222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1-2-2211-2-211-2-2-1-12211111111-1-1-1-122-2-20000-2-20020-1-111000011-1-100000000000
χ3222222222-12-1-1-1222-12-12-1-122-1-1-1-1-1-1-1-1-2-2211-2-211-2-2-1-12211111111-1-1-1-1-2-22200002200-2011-1-10000-1-11100000000000
χ3322-222-2-2-22222-222-2-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000000002i−2i2i−2i00000000002i−2i002i−2i002-200000
χ3422-222-2-2-22222-222-2-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000000002i−2i−2i2i00000000002i−2i00−2i2i00-2200000
χ3522-222-2-2-22222-222-2-2-2-2-22-22-22222-2-2-2-200000000000000000000000000000000000−2i2i2i−2i0000000000−2i2i002i−2i00-2200000
χ3622-222-2-2-22222-222-2-2-2-2-22-22-22222-2-2-2-200000000000000000000000000000000000−2i2i−2i2i0000000000−2i2i00−2i2i002-200000
χ372-2-22-222-2222-2-2-2-22-2-222-222-222-2-22-2-22000000000000000000000000000002-22-200000000002-22-20000000000002-2000
χ382-2-22-222-2222-2-2-2-22-2-222-222-222-2-22-2-22000000000000000000000000000002-2-2200000000002-2-22000000000000-22000
χ392-2-22-222-2222-2-2-2-22-2-222-222-222-2-22-2-2200000000000000000000000000000-222-20000000000-222-2000000000000-22000
χ402-2-22-222-2222-2-2-2-22-2-222-222-222-2-22-2-2200000000000000000000000000000-22-220000000000-22-220000000000002-2000
χ412-2-2-222-2222-2-222-2-2-2-2222-2-222-22-2-22-220000000000000000000000000002-200002-20000002-200002-20000000000002-20
χ422-2-2-222-2222-2-222-2-2-2-2222-2-222-22-2-22-220000000000000000000000000002-20000-220000002-20000-22000000000000-220
χ432-2-2-222-2222-2-222-2-2-2-2222-2-222-22-2-22-22000000000000000000000000000-2200002-2000000-2200002-2000000000000-220
χ442-2-2-222-2222-2-222-2-2-2-2222-2-222-22-2-22-22000000000000000000000000000-220000-22000000-220000-220000000000002-20
χ4544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111444-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ4644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114-4-4-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ4744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-44-42222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000
χ4844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4422222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000
χ49444-4-44-4-444-44-4-44-44444-4-4-4-44-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000
χ50444-4-44-4-44-2-44-42-224-24-2-4-422-222-222-2-20000000000000−2i32i300000000−2i3−2i32i32i30000000000000000000000000000000000000
χ51444-4-44-4-44-2-44-42-224-24-2-4-422-222-222-2-200000000000002i3−2i3000000002i32i3−2i3−2i30000000000000000000000000000000000000
χ52444-4-44-4-4-242-22-44-4-24-2422-4-4-222-222-2-20000000−2i32i30000000000−2i3−2i32i32i300000000000000000000000000000000000000000
χ53444-4-44-4-4-242-22-44-4-24-2422-4-4-222-222-2-200000002i3−2i300000000002i32i3−2i3−2i300000000000000000000000000000000000000000
χ54444-4-44-4-4-2-22-222-22-2-2-2-222221-1-11-1-1110000000−2i32i30000−2i32i333-3-3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000
χ55444-4-44-4-4-2-22-222-22-2-2-2-222221-1-11-1-1110000000−2i32i300002i3−2i3-3-333i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000
χ56444-4-44-4-4-2-22-222-22-2-2-2-222221-1-11-1-11100000002i3−2i30000−2i32i3-3-333−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ57444-4-44-4-4-2-22-222-22-2-2-2-222221-1-11-1-11100000002i3−2i300002i3−2i333-3-3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000
χ5844-444-4-4-44-244-4-2-22-42-424-4-22-2-2-2-2222200000000000000000000000000000000000004i−4i00000000000000−2i2i000000000
χ5944-444-4-4-44-244-4-2-22-42-424-4-22-2-2-2-222220000000000000000000000000000000000000−4i4i000000000000002i−2i000000000
χ6044-444-4-4-4-24-2-2244-42-42-4-224-4-2-2-2-22222000000000000000000000000000000000004i−4i000000000000−2i2i0000000000000
χ6144-444-4-4-4-24-2-2244-42-42-4-224-4-2-2-2-2222200000000000000000000000000000000000−4i4i0000000000002i−2i0000000000000
χ6244-4-4-4-44444-444-444-4-4-4-4-44-444-4-4444-4-40000000000000000000000000000000000000000000000000000000000000000
χ6344-4-4-4-4444-2-4442-2-2-42-42-442-2-222-2-2-222000000000000000000000000000000000000000000000000000000023−230000000
χ6444-4-4-4-4444-2-4442-2-2-42-42-442-2-222-2-2-2220000000000000000000000000000000000000000000000000000000−23230000000
χ6544-4-4-4-444-242-2-2-4442-42-42-2-44-222-2-2-22200000000000000000000000000000000000000000000000000023−2300000000000
χ6644-4-4-4-444-242-2-2-4442-42-42-2-44-222-2-2-222000000000000000000000000000000000000000000000000000−232300000000000
χ674-444-4-4-44444-44-4-4-444-4-4-4-44444-4-4-444-40000000000000000000000000000000000000000000000000000000000000000
χ684-444-4-4-444-24-442224-2-42-4-4-2-2-2-2222-2-2200000−2i32i300000000−2i32i3−2i32i3000000000000000000000000000000000000000000000
χ694-444-4-4-444-24-442224-2-42-4-4-2-2-2-2222-2-22000002i3−2i3000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000
χ704-444-4-4-44-24-22-2-4-4-4-242-42244-2-2222-2-220000000000023−23000000000023−2323−230000000000000000000000000000000000000
χ714-444-4-4-44-24-22-2-4-4-4-242-42244-2-2222-2-2200000000000−23230000000000−2323−23230000000000000000000000000000000000000
χ724-444-4-4-44-2-2-22-2222-2-22222-2-211-1-1-111-100000−2i32i3000023−2300i3−i3i3−i33i−3i3i−3i−33−330000000000000000000000000000000000000
χ734-444-4-4-44-2-2-22-2222-2-22222-2-211-1-1-111-100000−2i32i30000−232300i3−i3i3−i3−3i3i−3i3i3−33−30000000000000000000000000000000000000
χ744-444-4-4-44-2-2-22-2222-2-22222-2-211-1-1-111-1000002i3−2i3000023−2300−i3i3−i3i3−3i3i−3i3i−33−330000000000000000000000000000000000000
χ754-444-4-4-44-2-2-22-2222-2-22222-2-211-1-1-111-1000002i3−2i30000−232300−i3i3−i3i33i−3i3i−3i3−33−30000000000000000000000000000000000000
χ764-44-44-44-444-4-4-44-4444-4-444-4-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000
χ774-44-44-44-44-2-4-4-4-22-24-2-424422-22-22-22-2200000000023−230000000023−23−232300000000000000000000000000000000000000000
χ784-44-44-44-44-2-4-4-4-22-24-2-424422-22-22-22-22000000000−232300000000−232323−2300000000000000000000000000000000000000000
χ794-44-44-44-4-242224-44-242-4-2-2-4-4-22-22-22-22000−2i32i30000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ804-44-44-44-4-242224-44-242-4-2-2-4-4-22-22-22-220002i3−2i300000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ814-44-44-44-4-2-2222-22-2-2-222-2-2221-11-11-11-1000−2i32i3000023−230000i3−i3−i3i3−333−3−3i3i3i−3i0000000000000000000000000000000000000
χ824-44-44-44-4-2-2222-22-2-2-222-2-2221-11-11-11-1000−2i32i30000−23230000i3−i3−i3i33−3−333i−3i−3i3i0000000000000000000000000000000000000
χ834-44-44-44-4-2-2222-22-2-2-222-2-2221-11-11-11-10002i3−2i3000023−230000−i3i3i3−i3−333−33i−3i−3i3i0000000000000000000000000000000000000
χ844-44-44-44-4-2-2222-22-2-2-222-2-2221-11-11-11-10002i3−2i30000−23230000−i3i3i3−i33−3−33−3i3i3i−3i0000000000000000000000000000000000000
χ854-4-44-444-44-24-4-422-2-424-2-44-22-2-222-222-200000000000000000000000000000004-4000000000000-2200000000000000000
χ864-4-44-444-44-24-4-422-2-424-2-44-22-2-222-222-20000000000000000000000000000000-440000000000002-200000000000000000
χ874-4-44-444-4-24-222-4-442-4-242-24-4-2-222-222-2000000000000000000000000000004-4000000000000-220000000000000000000
χ884-4-44-444-4-24-222-4-442-4-242-24-4-2-222-222-200000000000000000000000000000-440000000000002-20000000000000000000
χ894-4-4-444-444-2-4-44-222-424-24-42-2-22-222-22-20000000000000000000000000000000004-4000000000000-22000000000000000
χ904-4-4-444-444-2-4-44-222-424-24-42-2-22-222-22-2000000000000000000000000000000000-440000000000002-2000000000000000
χ914-4-4-444-44-2422-24-4-42-4-24-22-44-22-222-22-20000000000000000000000000004-4000000000000-22000000000000000000000
χ924-4-4-444-44-2422-24-4-42-4-24-22-44-22-222-22-2000000000000000000000000000-440000000000002-2000000000000000000000
χ9388-888-8-8-8-4-4-4-44-4-444444-44-442222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-8-888-4-44-4-44-4-444444-44-42-2-2222-2-20000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-888-8-4-4-44444-444-4-44-4-4422-2-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ968-8-8-888-88-4-444-4-44444-4-4-444-42-22-2-22-220000000000000000000000000000000000000000000000000000000000000000

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