Finite Group Databasebeta

← Group #11878491

Character table — Group #11878491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444444444488888888888888888888888888242424242424242436363636363636364848484848484848
order1222334466666623466612121212121212126666881212121224242424242424242424242424242424224444442244888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-111-1-11-1-1-1-1-1-1-1-1-11-11-111-1-1
χ3111111111111111111111111111111111111111111111111111111-11-1-111-11-1-1-1-1-1-1-1-1-11-11-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1111111-1-11-11-1
χ611111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111111-1-1-1-11-1-111-1-11
χ711111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11111-1-1-1-1-111-1-111-1
χ811111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-11-11
χ911111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-1-111-11-111-1-111-11-11-1-1
χ1011111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-11-11-1-1111-1-1-1-1111
χ1111111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-11-11-1-111-11111-1-1-1
χ1211111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111-11-11-111-1-1-1-11-11-111
χ1311111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1111-1-1111-1-1-1-11
χ1411111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1111-11-1-1-1111-111-1-11-1
χ1511111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-11-1-11-11-1-1-111-11-1-111-11
χ1611111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-11-1111-1-1-1-1-11111-1
χ17222222-2-222222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-20000000000000000000000002-2-22000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-2000000000000000000000000-222-2000000000000
χ19222222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2-2-200222200000000000000000000000022-2-2000000000000
χ20222222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2-2-2002222000000000000000000000000-2-222000000000000
χ2122222-1222-12-12-12-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-102002202000000000-10-100-1-1
χ2222222-1222-12-12-12-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10-200-2-20-20000000001010011
χ2322222-1222-12-12-12-12-1-1-12-1-1-12-1-1-12-1-1-1-2-22-1-1-1-2-2111111-2-211111102002-20-2000000000-10100-11
χ2422222-1222-12-12-12-12-1-1-12-1-1-12-1-1-12-1-1-1-2-22-1-1-1-2-2111111-2-21111110-200-220200000000010-1001-1
χ2522222-1222-12-12-1-2-1-2-1-1-12-1-1-12-1-1-1-21112-2-211122-1-1-1-1-1-1-2-21111110200-2-202000000000-10-10011
χ2622222-1222-12-12-1-2-1-2-1-1-12-1-1-12-1-1-1-21112-2-211122-1-1-1-1-1-1-2-21111110-200220-200000000010100-1-1
χ2722222-1222-12-12-1-2-1-2-1-1-12-1-1-12-1-1-1-2111-22-2111-2-211111122-1-1-1-1-1-10200-220-2000000000-101001-1
χ2822222-1222-12-12-1-2-1-2-1-1-12-1-1-12-1-1-1-2111-22-2111-2-211111122-1-1-1-1-1-10-2002-20200000000010-100-11
χ292222-1222-12-12-122-12-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12022002000000000-10-10-1-100
χ302222-1222-12-12-122-12-1-1-1-12-1-1-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-20-2-200-200000000010101100
χ312222-1222-12-12-122-12-1-1-1-12-1-1-12-1-1-12-1-1-2-2-12-1-111-2-2111111-2-21111202-200-2000000000-1010-1100
χ322222-1222-12-12-122-12-1-1-1-12-1-1-12-1-1-12-1-1-2-2-12-1-111-2-2111111-2-21111-20-2200200000000010-101-100
χ332222-1222-12-12-12-2-1-2-1-1-1-12-1-1-12-1-11-2112-21-211-1-122-1-1-1-111-2-2111120-2200-2000000000-10101-100
χ342222-1222-12-12-12-2-1-2-1-1-1-12-1-1-12-1-11-2112-21-211-1-122-1-1-1-111-2-21111-202-200200000000010-10-1100
χ352222-1222-12-12-12-2-1-2-1-1-1-12-1-1-12-1-11-211-221-21111-2-21111-1-122-1-1-1-120-2-2002000000000-10-101100
χ362222-1222-12-12-12-2-1-2-1-1-1-12-1-1-12-1-11-211-221-21111-2-21111-1-122-1-1-1-1-202200-20000000001010-1-100
χ3744444-2-4-44-24-24-24-2-4-2-2-2-4222-42224-2-2-200-42220000000000000000000000000000000000000000
χ3844444-2-4-44-24-24-2-4-24-2-2-2-4222-4222-4222004-2-2-20000000000000000000000000000000000000000
χ394444-24-4-4-24-24-244-2-4-2-2-22-4222-422-24-2-2002-4220000000000000000000000000000000000000000
χ404444-24-4-4-24-24-24-4-24-2-2-22-4222-4222-42200-24-2-20000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414111-2-211-2-211-2-21144-2-211-2-2-2-21111-2-2-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414111-2-211-2-211-2-211-4-4-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-4111-2-211-2-21122-1-14-422-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-4111-2-211-2-21122-1-1-4422-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-411122-1-122-1-1-2-2110022-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-411122-1-122-1-1-2-2110022-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-41411122-1-122-1-122-1-100-2-21100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41411122-1-122-1-122-1-100-2-2110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000
χ4944-4-4440044-4-4-4-40404-4-4000000000000000000000000000000000000000000000022−220000000000
χ5044-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000000000−22220000000000
χ514-44-44400-4-4-4-444040-44-400000000000000000000000000000000000000000000000022−2200000000
χ524-44-44400-4-4-4-444040-44-4000000000000000000000000000000000000000000000000−222200000000
χ534-4-44444-4-4-444-4-4040-4-44-4-4-4-4444400000000000000000000000000000000000000000000000000
χ544-4-4444-44-4-444-4-4040-4-444444-4-4-4-400000000000000000000000000000000000000000000000000
χ554-4-444-24-4-424-2-420-2022-2-42224-2-2-2000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000
χ564-4-444-24-4-424-2-420-2022-2-42224-2-2-20000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000
χ574-4-444-2-44-424-2-420-2022-24-2-2-2-42220000000000000000000023−2323−2323−23000000000000000000000000
χ584-4-444-2-44-424-2-420-2022-24-2-2-2-422200000000000000000000−2323−2323−2323000000000000000000000000
χ594-4-44-244-42-4-242-40-2022-22-422-24-2-2000000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000
χ604-4-44-244-42-4-242-40-2022-22-422-24-2-20000000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000
χ614-4-44-24-442-4-242-40-2022-2-24-2-22-422000000000023−230023−23−232300000000000000000000000000000000
χ624-4-44-24-442-4-242-40-2022-2-24-2-22-4220000000000−232300−232323−2300000000000000000000000000000000
χ634-4-44-2-24-422-2-222010-1-1122-1-1-2-211003-300003-300−2i32i3i3−i3i3−i3−2i32i300i3−i3−i3i3000000000000000000000000
χ644-4-44-2-24-422-2-222010-1-1122-1-1-2-211003-300003-3002i3−2i3−i3i3−i3i32i3−2i300−i3i3i3−i3000000000000000000000000
χ654-4-44-2-24-422-2-222010-1-1122-1-1-2-21100-330000-3300−2i32i3i3−i3i3−i32i3−2i300−i3i3i3−i3000000000000000000000000
χ664-4-44-2-24-422-2-222010-1-1122-1-1-2-21100-330000-33002i3−2i3−i3i3−i3i3−2i32i300i3−i3−i3i3000000000000000000000000
χ674-4-44-2-2-4422-2-222010-1-11-2-21122-1-1003-30000-3323−2300−333−30023−23−33−33000000000000000000000000
χ684-4-44-2-2-4422-2-222010-1-11-2-21122-1-1003-30000-33−2323003−3−3300−23233−33−3000000000000000000000000
χ694-4-44-2-2-4422-2-222010-1-11-2-21122-1-100-3300003-323−2300−333−300−23233−33−3000000000000000000000000
χ704-4-44-2-2-4422-2-222010-1-11-2-21122-1-100-3300003-3−2323003−3−330023−23−33−33000000000000000000000000
χ7188-8-88-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-444440202-2-2006i−6i006i−6i00000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4-444440202-2-200−6i6i00−6i6i00000000000000000000000000000000000000000000000000
χ758-88-88-400-84-848-40-404-440000000000000000000000000000000000000000000000000000000000
χ768-88-8-48004-84-8-480-404-440000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-4004444-4-4020-22-2006i−6i00−6i6i00000000000000000000000000000000000000000000000000
χ788-88-8-4-4004444-4-4020-22-200−6i6i006i−6i00000000000000000000000000000000000000000000000000

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