Finite Group Databasebeta

← Group #11878355

Character table — Group #11878355

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888812121212242424242424242424242424242436363636484848487272
order1222334466666623466612121212121212121212121224666666666666121212121212121212128888444488242424242424242422441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-11-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-11-1111
χ711111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-11-11-111
χ811111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-11-1111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-111-1-111-1-11-11-11-1-111-1
χ1011111111111111-11-1111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11-1-11-1111-1-1-1-111-11-1111-1-1-11
χ1111111111111111-11-1111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-111-11-1-1-11111-1-1-11-11-1-111-11
χ1211111111111111-11-1111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111-11-1-111-11-1
χ1311111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-11-1-111-1-111-1-11-11-1-111-1-11
χ1411111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1111-1-1-1-111-11-11-1-1111-1
χ1511111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-111-1-1-11111-1-1-11-1111-1-11-1
χ1611111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-111-1-111-1-1111-11-11-1-11-11
χ17222222-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2002200002200000000-2-200000000000000000000002-2-22000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2002200002200000000-2-20000000000000000000000-222-2000000
χ19222222-2-2222222-22222222222222-2-2-2-200-2-20000-2-200000000-2-2000000000000000000000022-2-2000000
χ20222222-2-2222222-22222222222222-2-2-2-200-2-20000-2-200000000-2-20000000000000000000000-2-222000000
χ2122222-1222-12-12-12-12-1-1-122-1-1-1-1-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220022020000-1-1-1-100000-10-100
χ2222222-1222-12-12-12-12-1-1-122-1-1-1-1-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-20-2000011110000010100
χ2322222-1222-12-12-12-12-1-1-122-1-1-1-1-1-122-1-1-2-22-1-2-211-1-11111-2-211-1-11111002200-2-2020000-1-1-1-10000010100
χ2422222-1222-12-12-12-12-1-1-122-1-1-1-1-1-122-1-1-2-22-1-2-211-1-11111-2-211-1-1111100-2-200220-20000111100000-10-100
χ2522222-1222-12-12-1-2-1-2-1-1-1-2-211111122-1-12-2-2122-1-111-1-1-1-1-2-211-1-111110022002-20-20000-1-1110000010-100
χ2622222-1222-12-12-1-2-1-2-1-1-1-2-211111122-1-12-2-2122-1-111-1-1-1-1-2-211-1-1111100-2-200-2202000011-1-100000-10100
χ2722222-1222-12-12-1-2-1-2-1-1-1-2-211111122-1-1-22-21-2-21111111122-1-1-1-1-1-1-1-1002200-220-20000-1-11100000-10100
χ2822222-1222-12-12-1-2-1-2-1-1-1-2-211111122-1-1-22-21-2-21111111122-1-1-1-1-1-1-1-100-2-2002-202000011-1-10000010-100
χ292222-1222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200220020-1-1-1-100000000-10-1000
χ302222-1222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200-20111100000000101000
χ312222-1222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-122-2-2-1211-2-2-1-1111111-2-2-1-111112200-2-20020-1-1-1-100000000101000
χ322222-1222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-122-2-2-1211-2-2-1-1111111-2-2-1-11111-2-2002200-20111100000000-10-1000
χ332222-1222-12-12-12-2-1-2-1-1-111-2-21111-1-1222-21-2-1-12211-1-1-1-111-2-2-1-1111122002-200-20-1-11100000000-101000
χ342222-1222-12-12-12-2-1-2-1-1-111-2-21111-1-1222-21-2-1-12211-1-1-1-111-2-2-1-11111-2-200-22002011-1-10000000010-1000
χ352222-1222-12-12-12-2-1-2-1-1-111-2-21111-1-122-221-211-2-2111111-1-122-1-1-1-1-1-12200-2200-20-1-1110000000010-1000
χ362222-1222-12-12-12-2-1-2-1-1-111-2-21111-1-122-221-211-2-2111111-1-122-1-1-1-1-1-1-2-2002-2002011-1-100000000-101000
χ3744444-2-4-44-24-24-24-2-4-2-2-2-4-4222222-4-422004-20000-2-2000000002200000000000000000000000000000000
χ3844444-2-4-44-24-24-2-4-24-2-2-244-2-2-2-2-2-2-4-42200-42000022000000002200000000000000000000000000000000
χ394444-24-4-4-24-24-244-2-4-2-2-222-4-4222222-4-400-240000-2-2000000002200000000000000000000000000000000
χ404444-24-4-4-24-24-24-4-24-2-2-2-2-244-2-2-2-222-4-4002-4000022000000002200000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414111-2-2-2-21111-2-2-2-244-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414111-2-2-2-21111-2-2-2-2-4-4-2-2222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-41112222-1-1-1-1-2-2-2-24-422-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-41112222-1-1-1-1-2-2-2-2-44222222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-41112222-1-1-1-1222200-2-200001133-3-30000-1-133-3-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-41112222-1-1-1-1222200-2-2000011-3-3330000-1-1-3-3330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-414111-2-2-2-21111222200220000-1-133-3-30000-1-1-3-3330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-414111-2-2-2-21111222200220000-1-1-3-3330000-1-133-3-30000000000000000000000000000
χ4944-4-44400-444-4-4-40404-4-400000000000000000000000000000000000022−220000000022−220000000000000000
χ5044-4-44400-444-4-4-40404-4-4000000000000000000000000000000000000−222200000000−22220000000000000000
χ5144-4-4-240024-2-42-40-20-22223−23002323−23−23000000000000000000000000000022−2200000000−226−600000000000000
χ5244-4-4-240024-2-42-40-20-22223−23002323−23−230000000000000000000000000000−2222000000002−2−6600000000000000
χ5344-4-4-240024-2-42-40-20-222−232300−23−232323000000000000000000000000000022−2200000000−22−6600000000000000
χ5444-4-4-240024-2-42-40-20-222−232300−23−2323230000000000000000000000000000−2222000000002−26−600000000000000
χ554-44-4444-4-4-4-4-444040-4-44000000004-44-40000000000000000004-400000000000000000000000000000000
χ564-44-444-44-4-4-4-444040-4-4400000000-44-44000000000000000000-4400000000000000000000000000000000
χ574-44-44-24-4-42-424-20-2022-2000000004-4-22000000−2i32i300−2i32i3−2i32i30000-2200000000000000000000000000000000
χ584-44-44-24-4-42-424-20-2022-2000000004-4-220000002i3−2i3002i3−2i32i3−2i30000-2200000000000000000000000000000000
χ594-44-44-2-44-42-424-20-2022-200000000-442-20000000000000000−2i32i32-2−2i32i3−2i32i30000000000000000000000000000
χ604-44-44-2-44-42-424-20-2022-200000000-442-200000000000000002i3−2i32-22i3−2i32i3−2i30000000000000000000000000000
χ614-44-4-244-42-42-4-240-2022-200000000-224-400000000000000−2i32i300-22−2i32i32i3−2i30000000000000000000000000000
χ624-44-4-244-42-42-4-240-2022-200000000-224-4000000000000002i3−2i300-222i3−2i3−2i32i30000000000000000000000000000
χ634-44-4-24-442-42-4-240-2022-2000000002-2-440000−2i32i30000−2i32i32i3−2i300002-200000000000000000000000000000000
χ644-44-4-24-442-42-4-240-2022-2000000002-2-4400002i3−2i300002i3−2i3−2i32i300002-200000000000000000000000000000000
χ654-44-4-2-24-42222-2-2010-1-1100003-33-3-22-22000000−2i32i33-3i3−i3i3−i3−2i32i3001-1i3−i3−i3i30000000000000000000000000000
χ664-44-4-2-24-42222-2-2010-1-1100003-33-3-22-220000002i3−2i33-3−i3i3−i3i32i3−2i3001-1−i3i3i3−i30000000000000000000000000000
χ674-44-4-2-24-42222-2-2010-1-110000-33-33-22-22000000−2i32i3-33i3−i3i3−i32i3−2i3001-1−i3i3i3−i30000000000000000000000000000
χ684-44-4-2-24-42222-2-2010-1-110000-33-33-22-220000002i3−2i3-33−i3i3−i3i3−2i32i3001-1i3−i3−i3i30000000000000000000000000000
χ694-44-4-2-2-442222-2-2010-1-1100003-33-32-22-20000−2i32i300-33i3−i3−i3i3002i3−2i3-11−i3i3−i3i30000000000000000000000000000
χ704-44-4-2-2-442222-2-2010-1-1100003-33-32-22-200002i3−2i300-33−i3i3i3−i300−2i32i3-11i3−i3i3−i30000000000000000000000000000
χ714-44-4-2-2-442222-2-2010-1-110000-33-332-22-20000−2i32i3003-3i3−i3−i3i300−2i32i3-11i3−i3i3−i30000000000000000000000000000
χ724-44-4-2-2-442222-2-2010-1-110000-33-332-22-200002i3−2i3003-3−i3i3i3−i3002i3−2i3-11−i3i3−i3i30000000000000000000000000000
χ734-4-4444004-4-44-4-4040-44-400000000000000000000000000000000000000−2i22i20000000000−2i22i2000000000000
χ744-4-4444004-4-44-4-4040-44-4000000000000000000000000000000000000002i2−2i200000000002i2−2i2000000000000
χ754-4-444-20042-4-2-420-202-220023−2323−23−2323000000000000000000000000000000−2i22i20000000000i2−i2i6−i60000000000
χ764-4-444-20042-4-2-420-202-220023−2323−23−23230000000000000000000000000000002i2−2i20000000000−i2i2−i6i60000000000
χ774-4-444-20042-4-2-420-202-2200−2323−232323−23000000000000000000000000000000−2i22i20000000000i2−i2−i6i60000000000
χ784-4-444-20042-4-2-420-202-2200−2323−232323−230000000000000000000000000000002i2−2i20000000000−i2i2i6−i60000000000
χ7988-8-88-400-8-484-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-44440202-2-243−4300−23−23232300000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-44440202-2-2−4343002323−23−2300000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-4-8484-80-404-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-444020-22-20043−43−232323−2300000000000000000000000000000000000000000000000000000000
χ848-8-88-4-400-444-444020-22-200−434323−23−232300000000000000000000000000000000000000000000000000000000

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