Finite Group Databasebeta

← Group #11866195

Character table — Group #11866195

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666622366612121212266668121224242424242424244444444488881212121266666622442212121212121224242424226648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-11-1111-1-111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-11-1-1-111-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002-2002-20000222200000022-2-200-2-200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-200000000002-200-22000022-2-2000000-2-22200-2200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-22002-20000-2-222000000-2-222002-200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-2200-220000-2-2-2-200000022-2-2002200000000000000
χ2122222-1222-12-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-100002222002200-1-12-1-1-1-1-10000020-100-1-100-1-1000-100
χ2222222-1222-12-12-122-1-1-1-12-12-1222-1-12-1-122-1-1-1-1-1-10000-2-2-2-200-2-200112-1-1-1-1-100000-20100110011000100
χ2322222-1222-12-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110000222200-2-200-1-1-21-1-11100000-20-100-1-10011000100
χ2422222-1222-12-12-122-1-1-1-12-12-1-222-1-1-2-1-1-2-21111110000-2-2-2-200220011-21-1-11100000201001100-1-1000-100
χ2522222-1222-12-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-2111111000022-2-2002200112-111-1-100000-20100-1-100-1-1000100
χ2622222-1222-12-12-1-2-2-1-1-1-12-12-12-2-211-2-1-1-2-21111110000-2-22200-2-200-1-12-111-1-10000020-100110011000-100
χ2722222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-1000022-2-200-2-20011-2111110000020100-1-10011000-100
χ2822222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2-2112-1-122-1-1-1-1-1-10000-2-222002200-1-1-21111100000-20-1001100-1-1000100
χ292222-1222-12-12-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1222200002200-1-100-12-1-1-1-1000020-10-1-100-1-10000-1000
χ302222-1222-12-12-1222-1-1-1-1-12-122-1-1222-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001100-12-1-1-1-10000-201011001100001000
χ312222-1222-12-12-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-2111122220000-2-200-1-1001-2-1-1110000-20-10-1-1001100001000
χ322222-1222-12-12-1222-1-1-1-1-12-12-2-1-122-2-1-111-2-21111-2-2-2-20000220011001-2-1-111000020101100-1-10000-1000
χ332222-1222-12-12-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-2111122-2-2000022001100-1211-1-10000-2010-1-100-1-100001000
χ342222-1222-12-12-12-2-2-1-1-1-1-12-12211-2-2-2-1-111-2-21111-2-2220000-2-200-1-100-1211-1-1000020-101100110000-1000
χ352222-1222-12-12-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-122-2-20000-2-20011001-2111100002010-1-100110000-1000
χ362222-1222-12-12-12-2-2-1-1-1-1-12-12-211-2-22-1-1-1-122-1-1-1-1-2-22200002200-1-1001-211110000-20-101100-1-100001000
χ372-2-22222-222-2-2-2-2002-2-2222-2-20000002-2000000002i−2i002i−2i00000000000000002-22-200002i−2i2i−2i0000000000
χ382-2-22222-222-2-2-2-2002-2-2222-2-20000002-2000000002i−2i00−2i2i0000000000000000-22-2200002i−2i−2i2i0000000000
χ392-2-22222-222-2-2-2-2002-2-2222-2-20000002-200000000−2i2i002i−2i0000000000000000-22-220000−2i2i2i−2i0000000000
χ402-2-22222-222-2-2-2-2002-2-2222-2-20000002-200000000−2i2i00−2i2i00000000000000002-22-20000−2i2i−2i2i0000000000
χ412-2-2222-2222-2-2-2-22-22-2-22-2-22202-22-20-22000000000000000000000000002-2002-2-220000000000002-20000
χ422-2-2222-2222-2-2-2-22-22-2-22-2-22202-22-20-22000000000000000000000000002-200-222-2000000000000-220000
χ432-2-2222-2222-2-2-2-2-222-2-22-2-2220-22-220-2200000000000000000000000000-22002-2-22000000000000-220000
χ442-2-2222-2222-2-2-2-2-222-2-22-2-2220-22-220-2200000000000000000000000000-2200-222-20000000000002-20000
χ4544444-2-4-44-24-24-200-2-2-2-2-42-4200000022000000000000004-4000000-2-20000000000000200000000000000
χ4644444-2-4-44-24-24-200-2-2-2-2-42-420000002200000000000000-44000000220000000000000-200000000000000
χ474444-24-4-4-24-24-2400-2-2-2-22-42-40000002200000000004-400000000-2-2000000000000002000000000000000
χ484444-24-4-4-24-24-2400-2-2-2-22-42-4000000220000000000-44000000002200000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-4-44-4-440044-4-400000000000000000000000000000022−2200000000000000000000000022−22000000
χ5444-4-44400-4-44-4-440044-4-4000000000000000000000000000000−2222000000000000000000000000−2222000000
χ5544-4-44-200-4242-4-200-2-22200000000000000i6−i6i6i6−i6−i6000000000022−2200−2i32i300000000000000000000−22000000
χ5644-4-44-200-4242-4-200-2-22200000000000000i6−i6i6i6−i6−i60000000000−2222002i3−2i3000000000000000000002−2000000
χ5744-4-44-200-4242-4-200-2-22200000000000000−i6i6−i6−i6i6i6000000000022−22002i3−2i300000000000000000000−22000000
χ5844-4-44-200-4242-4-200-2-22200000000000000−i6i6−i6−i6i6i60000000000−222200−2i32i3000000000000000000002−2000000
χ594-44-44400-4-4-444-4004-44-4000000000000000000000000000022−2200000000000000000000000022−2200000000
χ604-44-44400-4-4-444-4004-44-40000000000000000000000000000−2222000000000000000000000000−222200000000
χ614-44-4-24002-424-2-400-22-22000000000000i6−i600i6−i6i6−i60000000022−2200−2i32i300000000000000000000−2200000000
χ624-44-4-24002-424-2-400-22-22000000000000i6−i600i6−i6i6−i600000000−2222002i3−2i3000000000000000000002−200000000
χ634-44-4-24002-424-2-400-22-22000000000000−i6i600−i6i6−i6i60000000022−22002i3−2i300000000000000000000−2200000000
χ644-44-4-24002-424-2-400-22-22000000000000−i6i600−i6i6−i6i600000000−222200−2i32i3000000000000000000002−200000000
χ654-4-444-24-44-2-42-4200-222-24-2-42000000-220000000000004i−4i00000000000000000000000000−2i2i0000000000
χ664-4-444-24-44-2-42-4200-222-24-2-42000000-22000000000000−4i4i000000000000000000000000002i−2i0000000000
χ674-4-444-2-444-2-42-424-4-222-2-424-204-4-2202-200000000000000000000000000-22000000000000000000000000
χ684-4-444-2-444-2-42-42-44-222-2-424-20-442-202-2000000000000000000000000002-2000000000000000000000000
χ694-4-44-244-4-242-42-400-222-2-242-4000000-22000000004i−4i0000000000000000000000000000−2i2i000000000000
χ704-4-44-244-4-242-42-400-222-2-242-4000000-2200000000−4i4i00000000000000000000000000002i−2i000000000000
χ714-4-44-24-44-242-42-44-4-222-22-4-240-224-402-200000000000000000000000000-22000000000000000000000000
χ724-4-44-24-44-242-42-4-44-222-22-4-2402-2-4402-2000000000000000000000000002-2000000000000000000000000
χ734-4-44-2-2-44-2-222224-41-1-1122-2-20-22-220-1100003-3-330000000000000000001-13-30000000000000000000000
χ744-4-44-2-2-44-2-222224-41-1-1122-2-20-22-220-110000-333-30000000000000000001-1-330000000000000000000000
χ754-4-44-2-2-44-2-22222-441-1-1122-2-202-22-20-1100003-3-33000000000000000000-11-330000000000000000000000
χ764-4-44-2-2-44-2-22222-441-1-1122-2-202-22-20-110000-333-3000000000000000000-113-30000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-8-4-84800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-444-40022-2-2000000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-40022-2-200000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000000
χ818-88-88-400-84-8-48400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44002-22-20000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44002-22-2000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-48-8-4-44444002-2-22-4-4440000002-20000000000000000000000000000000000000000000000000000

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