Finite Group Databasebeta

← Group #11888693

Character table — Group #11888693

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121244448121212121212242424242424242422244448812121212121212121212446668121212242424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-111-1-1-1-1-111111111-111-1-1111-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111-111-111-1-111-1111-1-1-1-1111-111-1-1-111-1-111-1-1-11
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1111-1-11-11-1-1-1111-1-1-1-111-1-11-11-1
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-111-11111-1-1-11-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111-1-1-111111-1-1-1-1-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-111-1-1-1-1-1-11-111
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-1111-1-111111-1-11111111-1-111-1-1-11-1-111-1-1-1-11-1-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-11-1111-1-1-1111111-1-1-111-1
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1111-1-111-1-1-11-1-1111-1-1-1-11111-11
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-111-1-1-111111111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-1-1-1111-1-1-1-1111-1111111-1-11-1-11
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200200-200222200000000-200000-20000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-200200-2-22200000000-200000200002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200200-20022-2-200000000200000-200002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200-200200-2-2-2-20000000020000020000-22000000
χ2122222-122-122-1-12-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-1022200222-1-1002-1-1-1-1-1200-1-1000-100-1-10000-1000
χ2222222-122-122-1-12-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-10-2-2-200-2-2-211002-1-1-1-1-1-200110001001100001000
χ2322222-122-122-1-12-1-1-1-1-122-1002-2-22211-1-1-2-2111111022-200-2221100-2-1-1-111-200-1-1000100-1-100001000
χ2422222-122-122-1-12-1-1-1-1-122-1002-2-22211-1-1-2-21111110-2-22002-2-2-1-100-2-1-1-11120011000-100110000-1000
χ2522222-122-122-1-12-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-21111110222002-2-2-1-1002111-1-1-200-1-1000-1001100001000
χ2622222-122-122-1-12-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-21111110-2-2-200-22211002111-1-120011000100-1-10000-1000
χ2722222-122-122-1-12-1-1-1-1-122-100-2-22-2-211-1-122-1-1-1-1-1-1022-200-2-2-21100-211111200-1-1000100110000-1000
χ2822222-122-122-1-12-1-1-1-1-122-100-2-22-2-211-1-122-1-1-1-1-1-10-2-2200222-1-100-211111-20011000-100-1-100001000
χ292222-12222-1-122-1-1-1-1-12-1-1222222-1-122-1-1-1-122-1-1-1-120002200000-1-1-12-1-1-1-102-1002-1-10-1-10000000-100
χ302222-12222-1-122-1-1-1-1-12-1-12222-2-2-1-1-2-2-1-111-2-2111120002200000-1-112-1-1110-2-100-2-1-10110000000100
χ312222-12222-1-122-1-1-1-1-12-1-1222-22-21122-1-111-2-211112000-2-200000-1-1-1-211-1-102-100-2110110000000-100
χ322222-12222-1-122-1-1-1-1-12-1-1222-2-2211-2-2-1-1-1-122-1-1-1-12000-2-200000-1-11-211110-2-1002110-1-10000000100
χ332222-12222-1-122-1-1-1-1-12-1-12-2-2222-1-122-1-1-1-122-1-1-1-1-2000-2-20000011-12-1-1-1-10-2100-2110110000000100
χ342222-12222-1-122-1-1-1-1-12-1-12-2-22-2-2-1-1-2-2-1-111-2-21111-2000-2-2000001112-1-111021002110-1-10000000-100
χ352222-12222-1-122-1-1-1-1-12-1-12-2-2-22-21122-1-111-2-21111-2000220000011-1-211-1-10-21002-1-10-1-10000000100
χ362222-12222-1-122-1-1-1-1-12-1-12-2-2-2-2211-2-2-1-1-1-122-1-1-1-1-20002200000111-2111102100-2-1-10110000000-100
χ372-2-22222-22-2-2-2-222-22-22-22-20000000002-20000000002-202i−2i00000000000000002-202i−2i00000002i−2i0000
χ382-2-22222-22-2-2-2-222-22-22-22-20000000002-20000000002-20−2i2i00000000000000002-20−2i2i0000000−2i2i0000
χ392-2-22222-22-2-2-2-222-22-22-22-20000000002-2000000000-2202i−2i0000000000000000-2202i−2i0000000−2i2i0000
χ402-2-22222-22-2-2-2-222-22-22-22-20000000002-2000000000-220−2i2i0000000000000000-220−2i2i00000002i−2i0000
χ4144444-2-4-4-244-2-24-2-2-2-22-4-420000000002200000000000400-400-2-200000000000000002000000000000
χ4244444-2-4-4-244-2-24-2-2-2-22-4-420000000002200000000000-400400220000000000000000-2000000000000
χ434444-24-4-44-2-244-2-2-2-2-2-422-44400000002200000000-40000000000-2-2000000002000000000000000000
χ444444-24-4-44-2-244-2-2-2-2-2-422-4-4-400000002200000000400000000002200000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-100000000000002-211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-10000000000000-22-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-44400-44-44-4-44-4-4400004i−4i00000000000000000000000000004i−4i000000000000000000000000000
χ5044-4-44400-44-44-4-44-4-440000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000
χ5144-4-4-2400-4-224-42-222-200004i−4i000000000i6−i600i6i6−i6−i600000000000−2i2i0000000000000006−60000000000
χ5244-4-4-2400-4-224-42-222-200004i−4i000000000−i6i600−i6−i6i6i600000000000−2i2i000000000000000−660000000000
χ5344-4-4-2400-4-224-42-222-20000−4i4i000000000i6−i600i6i6−i6−i6000000000002i−2i000000000000000−660000000000
χ5444-4-4-2400-4-224-42-222-20000−4i4i000000000−i6i600−i6−i6i6i6000000000002i−2i0000000000000006−60000000000
χ554-44-44400-4-44-44-444-4-4000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ564-44-44400-4-44-44-444-4-40000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ574-44-44-2002-442-2-4-2-22200000000000000000i6−i6i6−i6i6−i60000000−2i22i223−230000000000000000000i2−i200000000
χ584-44-44-2002-442-2-4-2-22200000000000000000i6−i6i6−i6i6−i600000002i2−2i2−23230000000000000000000−i2i200000000
χ594-44-44-2002-442-2-4-2-22200000000000000000−i6i6−i6i6−i6i60000000−2i22i2−23230000000000000000000i2−i200000000
χ604-44-44-2002-442-2-4-2-22200000000000000000−i6i6−i6i6−i6i600000002i2−2i223−230000000000000000000−i2i200000000
χ614-4-4444-444-4-4-4-444-44-4-44-44000000000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-4-2-4-4224-22-22-2-442000000000-220000000004-40000000000000000000-220000000000000000
χ634-4-444-24-4-2-4-4224-22-22-2-442000000000-22000000000-4400000000000000000002-20000000000000000
χ644-4-444-2-44-2-4-4224-22-2224-4-2000000023−232-2000000000000000000000000023−23000000000000000000000
χ654-4-444-2-44-2-4-4224-22-2224-4-20000000−23232-20000000000000000000000000−2323000000000000000000000
χ664-4-44-244-4422-4-4-2-22-2242-2-4000000000-220000000000004i−4i0000000000000000000−2i2i0000000000000
χ674-4-44-244-4422-4-4-2-22-2242-2-4000000000-22000000000000−4i4i00000000000000000002i−2i0000000000000
χ684-4-44-24-44422-4-4-2-22-22-4-2240000023−23002-20000000000000000000000023−2300000000000000000000000
χ694-4-44-24-44422-4-4-2-22-22-4-22400000−2323002-200000000000000000000000−232300000000000000000000000
χ704-4-44-2-2-44-22222-21-11-12-22-20000023−2323−23-1100003-3-33000000000000000−33−33000000000000000000000
χ714-4-44-2-2-44-22222-21-11-12-22-20000023−23−2323-110000-333-3000000000000000−333−3000000000000000000000
χ724-4-44-2-2-44-22222-21-11-12-22-200000−232323−23-110000-333-30000000000000003−3−33000000000000000000000
χ734-4-44-2-2-44-22222-21-11-12-22-200000−2323−2323-1100003-3-330000000000000003−33−3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-40048-8-44-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-2-220000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-4442-2-22000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-4800-84-4-884-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-4422-2-2000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-40044-44-4422-2-200000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-48-8-44444-42-22-2-44-440000000002-2000000000000000000000000000000000000000000000000

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