Finite Group Databasebeta

← Group #11878528

Character table — Group #11878528

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order1222334466666636661212121224668121212122424242424242424224488881212121266612121224446666121224242424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-111-1-111-1-11111111-11-1-1111-1-111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-111-1-111111111-11-111-1-1-111-1-111-1-1-11-1-1-1
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
χ511111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-111-1-111-1-1-1-1111-11-1-1
χ611111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111-1-1-1-1-111-11-1-1-1-1-1-111-1-111-111
χ711111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111111-1-1-111-1-11-1111111-1-1-1-1-1-1-111
χ811111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1-11-1-111-1-1111111-111-1-1
χ91111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-111111-1-1-1-1-1-111-11-11-1
χ101111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-111111-1-1-111111-1-111-1-1-1-11-11
χ111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1111-1-1111-1-1-1-1-111-1-1-1-1111-11
χ121111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-111-1-1-1-1-1111111111-1-11-1
χ131111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ141111111111111111111111-1-1-1-11-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-1-1-1-1111-1
χ151111111111111111111111-1-1-1-11-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-11-111-1-1-1-111-1-11-111-1
χ161111111111111111111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-20000-2-2-2-200000000002200000000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-220000-2-2220000000000-22000000002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2000022-2-200000000002-2000000002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222000022220000000000-2-200000000-2200000
χ2122222-1222-12-1-12-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-120202200-1-100-1-1-12-1-120200-1-1-100-1-10000-10000
χ2222222-1222-12-1-12-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-1-20-20-2-2001100-1-1-12-1-1-20-2001110011000010000
χ2322222-1222-12-1-12-1-1-1-1-12-122-222-211-1-1-2-21111112020-2-200-1-100-1-1-1-211-20200-11100110000-10000
χ2422222-1222-12-1-12-1-1-1-1-12-122-222-211-1-1-2-2111111-20-2022001100-1-1-1-21120-2001-1-100-1-1000010000
χ2522222-1222-12-1-12-1-1-1-1-12-12-22-2-2-2-1-1-1-1-2-21111112020-2-200-1-1001112-1-120-200-1-1-10011000010000
χ2622222-1222-12-1-12-1-1-1-1-12-12-22-2-2-2-1-1-1-1-2-2111111-20-20220011001112-1-1-2020011100-1-10000-10000
χ2722222-1222-12-1-12-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-120202200-1-100111-211-20-200-11100-1-1000010000
χ2822222-1222-12-1-12-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-1-20-20-2-2001100111-211202001-1-100110000-10000
χ292222-1222-12-122-1-1-1-1-12-12-122-1-1222-1-1-1-122-1-1-1-10202002200-1-12-1-1-1-1-10202-1000-1-100-1-1000-1000
χ302222-1222-12-122-1-1-1-1-12-12-122-1-1222-1-1-1-122-1-1-1-10-20-200-2-200112-1-1-1-1-10-20-210001100110001000
χ312222-1222-12-122-1-1-1-1-12-12-12-2-1-1-2-2-2-1-111-2-21111020200-2-200-1-12-1-1111020-2-1000-1-100110001000
χ322222-1222-12-122-1-1-1-1-12-12-12-2-1-1-2-2-2-1-111-2-211110-20-2002200112-1-11110-20210001100-1-1000-1000
χ332222-1222-12-122-1-1-1-1-12-12-1-2211-222-1-111-2-21111020200-2-200-1-1-211-1-1-10-202-1000110011000-1000
χ342222-1222-12-122-1-1-1-1-12-12-1-2211-222-1-111-2-211110-20-200220011-211-1-1-1020-21000-1-100-1-10001000
χ352222-1222-12-122-1-1-1-1-12-12-1-2-2112-2-2-1-1-1-122-1-1-1-10202002200-1-1-2111110-20-2-10001100-1-10001000
χ362222-1222-12-122-1-1-1-1-12-12-1-2-2112-2-2-1-1-1-122-1-1-1-10-20-200-2-20011-21111102021000-1-10011000-1000
χ3744444-2-4-44-24-2-24-2-2-2-22-42-40000000220000000040-400000220000000000000-2000000000000000
χ3844444-2-4-44-24-2-24-2-2-2-22-42-400000002200000000-40400000-2-200000000000002000000000000000
χ394444-24-4-4-24-244-2-2-2-2-2-42-4200000002200000000040-4000000220000000000-20000000000000000
χ404444-24-4-4-24-244-2-2-2-2-2-42-42000000022000000000-404000000-2-2000000000020000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-244-2-24-2-211-2-2-2-21111000000000000-211-211000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-2-422112222-1-1-1-1000000000000-2112-1-1000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-4-2-2112222-1-1-1-10000000000002-1-1-211000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-42242211-2-2-2-211110000000000002-1-12-1-1000000000000000000000
χ4544-4-4440044-4-4-4-444-4-4000000000000000000000000022−22000000000000000000000022−22000000000
χ4644-4-4440044-4-4-4-444-4-40000000000000000000000000−22220000000000000000000000−2222000000000
χ4744-4-44-2004-2-422-4-2-2220000000000000006−666−6−6000022−220023−23000000000000000000−22000000000
χ4844-4-44-2004-2-422-4-2-2220000000000000006−666−6−60000−222200−23230000000000000000002−2000000000
χ4944-4-44-2004-2-422-4-2-222000000000000000−66−6−666000022−2200−2323000000000000000000−22000000000
χ5044-4-44-2004-2-422-4-2-222000000000000000−66−6−6660000−22220023−230000000000000000002−2000000000
χ514-44-4444-4-4-4-44-444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ524-44-444-44-4-4-44-444-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ534-44-44-24-4-42-4-224-222-22-4-240000000-2200000000000000000000000000000000−2i32i30000000000000
χ544-44-44-24-4-42-4-224-222-22-4-240000000-22000000000000000000000000000000002i3−2i30000000000000
χ554-44-44-2-44-42-4-224-222-2-242-400000−2i32i32-2000000000000000000000000−2i32i3000000000000000000000
χ564-44-44-2-44-42-4-224-222-2-242-4000002i3−2i32-20000000000000000000000002i3−2i3000000000000000000000
χ574-44-4-244-42-424-4-2-222-2-424-20000000-220000000000000000000000000000000000−2i32i300000000000
χ584-44-4-244-42-424-4-2-222-2-424-20000000-2200000000000000000000000000000000002i3−2i300000000000
χ594-44-4-24-442-424-4-2-222-24-2-4200−2i32i30002-2000000000000000000000−2i32i3000000000000000000000000
χ604-44-4-24-442-424-4-2-222-24-2-42002i3−2i30002-20000000000000000000002i3−2i3000000000000000000000000
χ614-44-4-2-2-44222-22-21-1-11-2-22200−2i32i30−2i32i3-1100003-33-30000000000000i3−i30i3−i3000000000000000000000
χ624-44-4-2-2-44222-22-21-1-11-2-22200−2i32i302i3−2i3-110000-33-330000000000000i3−i30−i3i3000000000000000000000
χ634-44-4-2-2-44222-22-21-1-11-2-222002i3−2i30−2i32i3-110000-33-330000000000000−i3i30i3−i3000000000000000000000
χ644-44-4-2-2-44222-22-21-1-11-2-222002i3−2i302i3−2i3-1100003-33-30000000000000−i3i30−i3i3000000000000000000000
χ654-4-444400-4-44-44-44-44-400000000000000000000000000022−22000000000000000000000022−220000000
χ664-4-444400-4-44-44-44-44-4000000000000000000000000000−22220000000000000000000000−22220000000
χ674-4-44-24002-4-2-442-22-2200000000000006−6006−6−6600000022−220023−23000000000000000000−220000000
χ684-4-44-24002-4-2-442-22-2200000000000006−6006−6−66000000−222200−23230000000000000000002−20000000
χ694-4-44-24002-4-2-442-22-220000000000000−6600−666−600000022−2200−2323000000000000000000−220000000
χ704-4-44-24002-4-2-442-22-220000000000000−6600−666−6000000−22220023−230000000000000000002−20000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-8-4800-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-200000000000000026−26−6−666000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ758-88-8-4-48-8444-44-42-2-2244-4-400000002-200000000000000000000000000000000000000000000000
χ768-8-888-400-8484-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-44-442-22-2000000000000026−2600−666−6000000000000000000000000000000000000000
χ788-8-88-4-40044-44-442-22-20000000000000−2626006−6−66000000000000000000000000000000000000000

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