Finite Group Databasebeta

← Group #11878591

Character table — Group #11878591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order1222334466666636661212121222666681212242424242424242422448888121212126666664444661212121224242424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-111-1-111-1-11111111-11-11-111-1-111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-111-1-111111111-11-11-11-1-111-1-111-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-1-1111-1-111-1-1-1-1111-11-1-1
χ611111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-11-111-1-111-1-11-1-1-1-1-1-1-111-1-111-111
χ711111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111-111-1-1-1-111-11111111-1-1-1-1-1-1-111
χ811111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-111-1-1111111-111-1-1
χ91111111111111111111111-11-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-111-11111-1-1-1-1-1-111-11-11-1
χ101111111111111111111111-11-1-111-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-11-1-111-1-1111-11111-1-111-1-1-1-11-11
χ111111111111111111111111-11-1-111-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-11-1-11111-1-1-11-1-1-1-111-1-1-1-1111-11
χ121111111111111111111111-11-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-1-11-1-1-1-1111111111-1-11-1
χ131111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ141111111111111111111111-1-1-1-1-1-1111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1-1111-1
χ151111111111111111111111-1-1-1-1-1-111111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-111-1-11-111-1
χ161111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-20000-2-2-2-200000000002200000000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-220000-2-22200000000002-2000000002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2000022-2-20000000000-22000000002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222000022220000000000-2-200000000-2200000
χ2122222-1222-12-12-1-1-1-1-12-12-12222-1-12-1-122-1-1-1-1-1-120202200-1-100-12-1-1-1-12020-10-1-100-1-10000-10000
χ2222222-1222-12-12-1-1-1-1-12-12-12222-1-12-1-122-1-1-1-1-1-1-20-20-2-2001100-12-1-1-1-1-20-2010110011000010000
χ2322222-1222-12-12-1-1-1-1-12-12-12-22211-2-1-1-2-21111112020-2-200-1-100-1-2-1-11120-20-101100110000-10000
χ2422222-1222-12-12-1-1-1-1-12-12-12-22211-2-1-1-2-2111111-20-2022001100-1-2-1-111-202010-1-100-1-1000010000
χ2522222-1222-12-12-1-1-1-1-12-12-1-22-2-2-1-1-2-1-1-2-21111112020-2-200-1-1001211-1-1-2020-10-1-10011000010000
χ2622222-1222-12-12-1-1-1-1-12-12-1-22-2-2-1-1-2-1-1-2-2111111-20-20220011001211-1-120-20101100-1-10000-10000
χ2722222-1222-12-12-1-1-1-1-12-12-1-2-2-2-2112-1-122-1-1-1-1-1-120202200-1-1001-21111-20-20-101100-1-1000010000
χ2822222-1222-12-12-1-1-1-1-12-12-1-2-2-2-2112-1-122-1-1-1-1-1-1-20-20-2-20011001-21111202010-1-100110000-10000
χ292222-1222-12-12-12-1-1-1-1-12-1222-1-1222-1-1-1-122-1-1-1-10202002200-1-12-1-1-1-1-102020-100-1-100-1-1000-1000
χ302222-1222-12-12-12-1-1-1-1-12-1222-1-1222-1-1-1-122-1-1-1-10-20-200-2-200112-1-1-1-1-10-20-201001100110001000
χ312222-1222-12-12-12-1-1-1-1-12-122-2-1-1-2-2-2-1-111-2-21111020200-2-200-1-121-1-1110-2020-100-1-100110001000
χ322222-1222-12-12-12-1-1-1-1-12-122-2-1-1-2-2-2-1-111-2-211110-20-20022001121-1-111020-201001100-1-1000-1000
χ332222-1222-12-12-12-1-1-1-1-12-12-221122-2-1-111-2-21111020200-2-200-1-1-2-111-1-1020-20-100110011000-1000
χ342222-1222-12-12-12-1-1-1-1-12-12-221122-2-1-111-2-211110-20-200220011-2-111-1-10-2020100-1-100-1-10001000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-211-2-22-1-1-1-122-1-1-1-10202002200-1-1-2111110-20-20-1001100-1-10001000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-211-2-22-1-1-1-122-1-1-1-10-20-200-2-20011-21111102020100-1-10011000-1000
χ3744444-2-4-44-24-24-2-2-2-2-2-42-420000000220000000040-40000022000000000000-20000000000000000
χ3844444-2-4-44-24-24-2-2-2-2-2-42-4200000002200000000-40400000-2-200000000000020000000000000000
χ394444-24-4-4-24-24-24-2-2-2-22-42-400000002200000000040-40000002200000000000-2000000000000000
χ404444-24-4-4-24-24-24-2-2-2-22-42-4000000022000000000-404000000-2-2000000000002000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-244-2-2-2-2411-2-2-2-21111000000000000-2-21111000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-222-4112222-1-1-1-1000000000000-2211-1-1000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-2-2-4112222-1-1-1-10000000000002-2-1-111000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-42222411-2-2-2-2111100000000000022-1-1-1-1000000000000000000000
χ4544-4-444004-4-44-4-444-4-4000000000000000000000000000−2i22i20000000000000000000000−2i22i20000000
χ4644-4-444004-4-44-4-444-4-40000000000000000000000000002i2−2i200000000000000000000002i2−2i20000000
χ4744-4-4-2400-2-4242-4-2-2220000000000000i6−i600i6i6−i6−i6000000−2i22i20023−23000000000000000000i2−i20000000
χ4844-4-4-2400-2-4242-4-2-2220000000000000i6−i600i6i6−i6−i60000002i2−2i200−2323000000000000000000−i2i20000000
χ4944-4-4-2400-2-4242-4-2-2220000000000000−i6i600−i6−i6i6i6000000−2i22i200−2323000000000000000000i2−i20000000
χ5044-4-4-2400-2-4242-4-2-2220000000000000−i6i600−i6−i6i6i60000002i2−2i20023−23000000000000000000−i2i20000000
χ514-44-44400-444-4-4-44-44-40000000000000000000000000−2i22i20000000000000000000000−2i22i2000000000
χ524-44-44400-444-4-4-44-44-400000000000000000000000002i2−2i200000000000000000000002i2−2i2000000000
χ534-44-44-200-4-242-42-22-22000000000000000i6−i6i6−i6i6−i60000−2i22i20023−23000000000000000000i2−i2000000000
χ544-44-44-200-4-242-42-22-22000000000000000i6−i6i6−i6i6−i600002i2−2i200−2323000000000000000000−i2i2000000000
χ554-44-44-200-4-242-42-22-22000000000000000−i6i6−i6i6−i6i60000−2i22i200−2323000000000000000000i2−i2000000000
χ564-44-44-200-4-242-42-22-22000000000000000−i6i6−i6i6−i6i600002i2−2i20023−23000000000000000000−i2i2000000000
χ574-4-44444-4-4-4-4-4444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-4-4444-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ594-4-444-24-4-42-424-2-222-2-424-20000000-2200000000000000000000000000000000−2i32i30000000000000
χ604-4-444-24-4-42-424-2-222-2-424-20000000-22000000000000000000000000000000002i3−2i30000000000000
χ614-4-444-2-44-42-424-2-222-24-2-420000−2i32i302-2000000000000000000000000−2i32i3000000000000000000000
χ624-4-444-2-44-42-424-2-222-24-2-4200002i3−2i302-20000000000000000000000002i3−2i3000000000000000000000
χ634-4-44-244-42-42-4-24-222-22-4-240000000-220000000000000000000000000000000000−2i32i300000000000
χ644-4-44-244-42-42-4-24-222-22-4-240000000-2200000000000000000000000000000000002i3−2i300000000000
χ654-4-44-24-442-42-4-24-222-2-242-400−2i32i30002-20000000000000000000000−2i32i300000000000000000000000
χ664-4-44-24-442-42-4-24-222-2-242-4002i3−2i30002-200000000000000000000002i3−2i300000000000000000000000
χ674-4-44-2-2-442222-2-21-1-11-2-22200−2i32i3−2i32i30-1100003-3-3300000000000000i3−i3i3−i3000000000000000000000
χ684-4-44-2-2-442222-2-21-1-11-2-22200−2i32i32i3−2i30-110000-333-300000000000000i3−i3−i3i3000000000000000000000
χ694-4-44-2-2-442222-2-21-1-11-2-222002i3−2i3−2i32i30-110000-333-300000000000000−i3i3i3−i3000000000000000000000
χ704-4-44-2-2-442222-2-21-1-11-2-222002i3−2i32i3−2i30-1100003-3-3300000000000000−i3i3−i3i3000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-88-40084-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-444-44422-2-200000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7488-8-8-4-400-444-44422-2-20000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ758-88-8-480048-4-84-8-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-4-44442-22-20000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ778-88-8-4-4004-4-44442-22-2000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ788-8-88-4-48-84444-4-42-2-2244-4-400000002-200000000000000000000000000000000000000000000000

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