Finite Group Databasebeta

← Group #11884401

Character table — Group #11884401

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666663446661212121244281212121212122424242424242424244881212121266661212244466681212122424242422248812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-11-1111-1111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-111-111-11-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-1111111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111-1-1-1-1111111-1-1-111-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-1-11-1-1-111111-1-11-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-1-11-111-1-1-11-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-111-11-1-1-1-111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-11111-1-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1-11-11111-1-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-1111-11111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1111111-1-1-1-1-1-1-1-111-1-1-111-11-1-1-1-111-111-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11-1-111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-20022220000000000-2000-2000000-200200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-2200-2-2220000000000-20002000000200-200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-20022-2-200000000002000-2000000200-200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-2200-2-2-2-2000000000020002000000-200200000
χ2122222-122-12-1-122-122-1-1-12-1-122222-1-122-1-1-1-122-1-1-1-12000000-1-12-1-1-1-1-12200-1-1-12000-1-100000000-100
χ2222222-122-12-1-122-122-1-1-12-1-1222-2-2-1-122-1-111-2-211112000000-1-1-2111-1-12-200-1-1-1-20001100000000100
χ2322222-122-12-1-122-122-1-1-12-1-12-2-222-1-122-1-1-1-122-1-1-1-1-2000000112-1-1-1-1-1-2-200111-20001100000000100
χ2422222-122-12-1-122-122-1-1-12-1-12-2-2-2-2-1-122-1-111-2-21111-200000011-2111-1-1-22001112000-1-100000000-100
χ2522222-122-12-1-122-1-2-2-1-1-12-1-12222-211-2-2-1-111-2-211112000000-1-12-1-1-111-2200-111-20001100000000-100
χ2622222-122-12-1-122-1-2-2-1-1-12-1-1222-2211-2-2-1-1-1-122-1-1-1-12000000-1-1-211111-2-200-1112000-1-100000000100
χ2722222-122-12-1-122-1-2-2-1-1-12-1-12-2-22-211-2-2-1-111-2-21111-2000000112-1-1-1112-2001-1-12000-1-100000000100
χ2822222-122-12-1-122-1-2-2-1-1-12-1-12-2-2-2211-2-2-1-1-1-122-1-1-1-1-200000011-21111122001-1-1-20001100000000-100
χ292222-12222-122-1-1-122-1-1-1-122-1002222-1-1-1-122-1-1-1-1-1-102222-1-100-12-1-1-1-100220000-1-1-100-1-10000000-10
χ302222-12222-122-1-1-122-1-1-1-122-1002222-1-1-1-122-1-1-1-1-1-10-2-2-2-21100-12-1-1-1-100-2-200001110011000000010
χ312222-12222-122-1-1-122-1-1-1-122-100-2-222-1-1-1-1-2-2111111022-2-2-1-1001-211-1-1002-20000-1-1-10011000000010
χ322222-12222-122-1-1-122-1-1-1-122-100-2-222-1-1-1-1-2-21111110-2-22211001-211-1-100-22000011100-1-10000000-10
χ332222-12222-122-1-1-1-2-2-1-1-1-122-1002-2-2-211-1-1-2-2111111022-2-2-1-100-12-1-11100-220000-11100110000000-10
χ342222-12222-122-1-1-1-2-2-1-1-1-122-1002-2-2-211-1-1-2-21111110-2-2221100-12-1-111002-200001-1-100-1-1000000010
χ352222-12222-122-1-1-1-2-2-1-1-1-122-100-22-2-211-1-122-1-1-1-1-1-102222-1-1001-2111100-2-20000-11100-1-1000000010
χ362222-12222-122-1-1-1-2-2-1-1-1-122-100-22-2-211-1-122-1-1-1-1-1-10-2-2-2-211001-21111002200001-1-100110000000-10
χ372-2-2222-22-2-22-22-222-2-2-22-22-2200002-22-2-220000000000000000000002-200000000000000002-202-2000
χ382-2-2222-22-2-22-22-222-2-2-22-22-2200002-22-2-220000000000000000000002-20000000000000000-220-22000
χ392-2-2222-22-2-22-22-22-22-2-22-22-220000-22-22-22000000000000000000000-2200000000000000002-20-22000
χ402-2-2222-22-2-22-22-22-22-2-22-22-220000-22-22-22000000000000000000000-220000000000000000-2202-2000
χ4144444-2-4-4-24-2-244-200-2-2-2-422-4440000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-24-2-244-200-2-2-2-422-4-4-400000022000000004000000220000000000-20000000000000000000
χ434444-24-4-44-244-2-2-200-2-2-22-4-4200000000220000000004-400-2-200000000000000002000000000000000
χ444444-24-4-44-244-2-2-200-2-2-22-4-420000000022000000000-4400220000000000000000-2000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-100000000022-1-111000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-211-1-1000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-40000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-200-2422-4-4-200-22200004i−4i000000006−60066−6−60000000−2i2i00000000000000000i6−i600000000000
χ5244-4-44-200-2422-4-4-200-22200004i−4i00000000−6600−6−6660000000−2i2i00000000000000000−i6i600000000000
χ5344-4-44-200-2422-4-4-200-2220000−4i4i000000006−60066−6−600000002i−2i00000000000000000−i6i600000000000
χ5444-4-44-200-2422-4-4-200-2220000−4i4i00000000−6600−6−66600000002i−2i00000000000000000i6−i600000000000
χ554-44-44400-4-4-44-44400-44-4000000000000000000000000022−220000000000000000000000022−22000000000
χ564-44-44400-4-4-44-44400-44-40000000000000000000000000−222200000000000000000000000−2222000000000
χ574-44-4-2400-42-442-2-2002-2200000000000000006−66−66−600022−2223−23000000000000000000000−22000000000
χ584-44-4-2400-42-442-2-2002-2200000000000000006−66−66−6000−2222−23230000000000000000000002−2000000000
χ594-44-4-2400-42-442-2-2002-220000000000000000−66−66−6600022−22−2323000000000000000000000−22000000000
χ604-44-4-2400-42-442-2-2002-220000000000000000−66−66−66000−222223−230000000000000000000002−2000000000
χ614-4-44444-4-4-44-44-4400-4-444-44-4000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-42-4-224-4-20022-242-2-400000000-220000000000000000000000000000−2i32i300000000000000000
χ634-4-444-24-42-4-224-4-20022-242-2-400000000-2200000000000000000000000000002i3−2i300000000000000000
χ644-4-444-2-442-4-224-4-24-422-2-4-2240000-224-42-2000000000000000000000-22000000000000000000000000
χ654-4-444-2-442-4-224-4-2-4422-2-4-22400002-2-442-20000000000000000000002-2000000000000000000000000
χ664-4-44-244-4-424-4-22-20022-2-2-44200000000-220000000000000000000000000000000023−230000000000000
χ674-4-44-244-4-424-4-22-20022-2-2-44200000000-2200000000000000000000000000000000−23230000000000000
χ684-4-44-24-44-424-4-22-24-422-224-4-200004-4-222-2000000000000000000000-22000000000000000000000000
χ694-4-44-24-44-424-4-22-2-4422-224-4-20000-442-22-20000000000000000000002-2000000000000000000000000
χ704-4-44-2-2-4422-22-2214-4-1-112-22-20000-22-22-1100003-3-33000000000003-31-1000000000000000000000000
χ714-4-44-2-2-4422-22-2214-4-1-112-22-20000-22-22-110000-333-300000000000-331-1000000000000000000000000
χ724-4-44-2-2-4422-22-221-44-1-112-22-200002-22-2-1100003-3-3300000000000-33-11000000000000000000000000
χ734-4-44-2-2-4422-22-221-44-1-112-22-200002-22-2-110000-333-3000000000003-3-11000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-48008-4-8-844-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444442002-2-20000000000000026−2600−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-200000000000000−26260066−6−6000000000000000000000000000000000000000
χ788-88-88-4004-84-4-88-4004-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-4200-22-2000000000000000026−26−66−66000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4200-22-20000000000000000−26266−66−6000000000000000000000000000000000000000
χ818-8-88-4-48-844-44-44200-2-22-44-44000000002-200000000000000000000000000000000000000000000000

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