Finite Group Databasebeta

← Group #11897682

Character table — Group #11897682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212444481212121212122424242424242424224444488121212121212121212124466812121212242424244488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-11-1-1-111-1-11111111-1-1-11-111111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-11-11111-1-11-111-1-1-1-111-1-1111-1-111-1-111-1-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-111-1-1-11-1-1-11111-1-1-1-111-1-1-11-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11111-11-1-1111-111-11-1-11-1-1-1-111-1-11-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11-1-11111-1-1-1-1-1-11-1-111-1-11111-11
χ7111111111111111111111111-1-11-1-1-1-1111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1
χ91111111111111111111111-1-11111111111111111111-1-11-1111-1-111111111-1111-11-1-1-1-1-111-1-1-1-1-11-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-111-1-11-1111-1-1-1-1111111-1-11-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-111-1-111-1-111-1-1-111-1-1-1-111111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-111-11-1-111-1-1111111-111-1-1-1-111-1-1-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-111-11-1-11-111-1111111-1-1-111-1
χ151111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1111-1111-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-20000000000002-2-20022-2-200000000000200-200002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-2000000000000-2-2200222200000000000-200-20000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000000022-200-2-2-2-20000000000020020000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-2000000000000-22200-2-22200000000000-200200002-2000000
χ2122222-122-12-122-1-1-1-1-1-12-120022222-1-1-1-122-1-1-1-1-1-122002022200-1-1-12-1-1-1-102-1-10-100000-1-100000-100
χ2222222-122-12-122-1-1-1-1-1-12-120022222-1-1-1-122-1-1-1-1-1-1-2-200-20-2-2-20011-12-1-1-1-10-21101000001100000100
χ2322222-122-12-122-1-1-1-1-1-12-12002-2-22211-1-1-2-21111112200-20-2220011-1-2-1-1110-2-1-10100000-1-100000100
χ2422222-122-12-122-1-1-1-1-1-12-12002-2-22211-1-1-2-2111111-2-200202-2-200-1-1-1-2-1-11102110-1000001100000-100
χ2522222-122-12-122-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-1-2-21111112200202-2-200-1-11211-1-10-2-1-10-1000001100000100
χ2622222-122-12-122-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-1-2-2111111-2-200-20-22200111211-1-102110100000-1-100000-100
χ2722222-122-12-122-1-1-1-1-1-12-1200-2-22-2-211-1-122-1-1-1-1-1-12200-20-2-2-200111-2111102-1-101000001100000-100
χ2822222-122-12-122-1-1-1-1-1-12-1200-2-22-2-211-1-122-1-1-1-1-1-1-2-2002022200-1-11-211110-2110-100000-1-100000100
χ292222-12222-12-1-12-1-1-1-12-12-122222-1-122-1-1-1-122-1-1-1-1002202000-1-1002-1-1-1-1-1200020-1-1-1-1-1000000-1000
χ302222-12222-12-1-12-1-1-1-12-12-1222-2-2-1-1-2-2-1-111-2-21111002202000-1-10021-1-111-2000-20-1-1-1110000001000
χ312222-12222-12-1-12-1-1-1-12-12-122-22-21122-1-111-2-2111100-2-202000-1-100-2-111-1-12000-2011-111000000-1000
χ322222-12222-12-1-12-1-1-1-12-12-122-2-2211-2-2-1-1-1-122-1-1-1-100-2-202000-1-100-211111-20002011-1-1-10000001000
χ332222-12222-12-1-12-1-1-1-12-12-1-2-2222-1-122-1-1-1-122-1-1-1-100-2-20-200011002-1-1-1-1-1-2000-20111110000001000
χ342222-12222-12-1-12-1-1-1-12-12-1-2-22-2-2-1-1-2-2-1-111-2-2111100-2-20-2000110021-1-111200020111-1-1000000-1000
χ352222-12222-12-1-12-1-1-1-12-12-1-2-2-22-21122-1-111-2-2111100220-20001100-2-111-1-1-200020-1-11-1-10000001000
χ362222-12222-12-1-12-1-1-1-12-12-1-2-2-2-2211-2-2-1-1-1-122-1-1-1-100220-20001100-2111112000-20-1-1111000000-1000
χ3722-2-222-222-2-22-2-22-22-222-2-20000000002-2000000002-22-2000000000000000002-2002-200000002-20000
χ3822-2-222-222-2-22-2-22-22-222-2-20000000002-2000000002-2-22000000000000000002-200-220000000-220000
χ3922-2-222-222-2-22-2-22-22-222-2-20000000002-200000000-222-200000000000000000-22002-20000000-220000
χ4022-2-222-222-2-22-2-22-22-222-2-20000000002-200000000-22-2200000000000000000-2200-2200000002-20000
χ4144444-2-4-4-24-244-2-2-2-2-22-42-40000000002200000000000040-400002200000000000-2000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-22-42-400000000022000000000000-4040000-2-2000000000002000000000000000
χ434444-24-4-44-24-2-24-2-2-2-2-42-42440000000220000000000000-4000-2-200000000000000002000000000000
χ444444-24-4-44-24-2-24-2-2-2-2-42-42-4-400000002200000000000004000220000000000000000-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-4444-44-4-44-4-44-44-4-4-444000000000-44000000000000000000000000000000000000000000000000
χ5044-4-44-24-4-2-424-42-22-222-4-24000000023−232-2000000000000000000000000023−23000000000000000000000
χ5144-4-44-24-4-2-424-42-22-222-4-240000000−23232-20000000000000000000000000−2323000000000000000000000
χ5244-4-44-2-44-2-424-42-22-22-242-4000000000-22000000004-40000000000000000000-2200000000000000000
χ5344-4-44-2-44-2-424-42-22-22-242-4000000000-2200000000-4400000000000000000002-200000000000000000
χ5444-4-4-244-442-4-22-4-22-22-424-20000023−23002-20000000000000000000000023−2300000000000000000000000
χ5544-4-4-244-442-4-22-4-22-22-424-200000−2323002-200000000000000000000000−232300000000000000000000000
χ5644-4-4-24-4442-4-22-4-22-224-2-42000000000-2200000000004-4000000000000000000000-220000000000000
χ5744-4-4-24-4442-4-22-4-22-224-2-42000000000-220000000000-440000000000000000000002-20000000000000
χ5844-4-4-2-24-4-222-2221-11-122-2-20000023−2323−23-11000033-3-3000000000000000−33−33000000000000000000000
χ5944-4-4-2-24-4-222-2221-11-122-2-20000023−23−2323-110000-3-333000000000000000−333−3000000000000000000000
χ6044-4-4-2-24-4-222-2221-11-122-2-200000−232323−23-110000-3-3330000000000000003−3−33000000000000000000000
χ6144-4-4-2-24-4-222-2221-11-122-2-200000−2323−2323-11000033-3-30000000000000003−33−3000000000000000000000
χ624-44-44400-444-4-4-444-4-400004-4000000000000000000000000004-400000000000000000000000000000
χ634-44-44400-444-4-4-444-4-40000-4400000000000000000000000000-4400000000000000000000000000000
χ644-44-4-2400-4-2422-4-2-22200004-4000000000i6−i600i6−i6i6−i6000000000-2200000000000000000i6−i60000000000
χ654-44-4-2400-4-2422-4-2-22200004-4000000000−i6i600−i6i6−i6i6000000000-2200000000000000000−i6i60000000000
χ664-44-4-2400-4-2422-4-2-2220000-44000000000i6−i600i6−i6i6−i60000000002-200000000000000000−i6i60000000000
χ674-44-4-2400-4-2422-4-2-2220000-44000000000−i6i600−i6i6−i6i60000000002-200000000000000000i6−i60000000000
χ684-4-444400-4-4-4-4444-4-4400000000000000000000000000000022−2200000000000000000000022−2200000000
χ694-4-444400-4-4-4-4444-4-44000000000000000000000000000000−2222000000000000000000000−222200000000
χ704-4-444-2002-42-44-2-222-200000000000000000i6−i6i6−i6−i6i6000000022−2200−2i32i300000000000000000−2200000000
χ714-4-444-2002-42-44-2-222-200000000000000000i6−i6i6−i6−i6i60000000−2222002i3−2i3000000000000000002−200000000
χ724-4-444-2002-42-44-2-222-200000000000000000−i6i6−i6i6i6−i6000000022−22002i3−2i300000000000000000−2200000000
χ734-4-444-2002-42-44-2-222-200000000000000000−i6i6−i6i6i6−i60000000−222200−2i32i3000000000000000002−200000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-444-4442-22-2-4-4440000000002-2000000000000000000000000000000000000000000000000
χ768-88-88-40048-4-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-4004-4-444422-2-20000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ788-88-8-4-4004-4-444422-2-2000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ798-8-88-4800-84-84-48-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42-2-22000000000000000002i6−2i6−i6i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42-2-2200000000000000000−2i62i6i6−i6−i6i60000000000000000000000000000000000000000

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