Finite Group Databasebeta

← Group #11878797

Character table — Group #11878797

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order12223344446666662366612121212121212121212121224666666666666121212121212121212128888888844444422442424242424242424466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ7111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ8111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ9111111-1-111111111-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-111-1-11-1
χ10111111-1-111111111-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-11-11
χ11111111-1-111111111-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-111-1-11
χ12111111-1-111111111-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1111-1
χ13111111-1-111111111-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-111-11
χ14111111-1-111111111-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-111-111-1-1-1-1111-111-11-1
χ15111111-1-111111111-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-111-1-111-1
χ16111111-1-111111111-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-111-1-1-1-111-1-111-111-1-1-11
χ1722222222-2-2222222-2222222222222-2-2-2-200-2-20000-2-200000000-2-200000000000022-2-222000000000000-2000000
χ1822222222-2-2222222-2222222222222-2-2-2-200-2-20000-2-200000000-2-2000000000000-2-222-2-20000000000002000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200002200000000-2-200000000000022-2-2-2-20000000000002000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200002200000000-2-2000000000000-2-22222000000000000-2000000
χ2122222-122222-12-12-12-1-1-1-122-1-1-1-1-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000002020000-1-1-1-100-10-100
χ2222222-122222-12-12-12-1-1-1-122-1-1-1-1-1-122-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-2000011110010100
χ2322222-122222-12-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-22-1-2-211-1-11111-2-211-1-11111000022220000000-20-20000-1-1-1-10010100
χ2422222-122222-12-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-22-1-2-211-1-11111-2-211-1-111110000-2-2-2-200000002020000111100-10-100
χ2522222-1-2-2222-12-12-1-2-1-1-1-1-2-211111122-1-12-2-2122-1-111-1-1-1-1-2-211-1-11111000022-2-2000000020-20000-1-11100-10100
χ2622222-1-2-2222-12-12-1-2-1-1-1-1-2-211111122-1-12-2-2122-1-111-1-1-1-1-2-211-1-111110000-2-2220000000-202000011-1-10010-100
χ2722222-1-2-2222-12-12-1-2-1-1-1-1-2-211111122-1-1-22-21-2-21111111122-1-1-1-1-1-1-1-1000022-2-20000000-2020000-1-1110010-100
χ2822222-1-2-2222-12-12-1-2-1-1-1-1-2-211111122-1-1-22-21-2-21111111122-1-1-1-1-1-1-1-10000-2-222000000020-2000011-1-100-10100
χ292222-122222-12-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200000000002020-1-1-1-100000-10-1000
χ302222-122222-12-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000000000-20-20111100000101000
χ312222-122222-12-12-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1211-2-2-1-1111111-2-2-1-1111122220000000000-20-20-1-1-1-100000101000
χ322222-122222-12-12-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1211-2-2-1-1111111-2-2-1-11111-2-2-2-200000000002020111100000-10-1000
χ332222-12-2-222-12-12-12-2-1-1-1-111-2-21111-1-1222-21-2-1-12211-1-1-1-111-2-2-1-1111122-2-2000000000020-20-1-11100000-101000
χ342222-12-2-222-12-12-12-2-1-1-1-111-2-21111-1-1222-21-2-1-12211-1-1-1-111-2-2-1-11111-2-2220000000000-202011-1-10000010-1000
χ352222-12-2-222-12-12-12-2-1-1-1-111-2-21111-1-122-221-211-2-2111111-1-122-1-1-1-1-1-122-2-20000000000-2020-1-1110000010-1000
χ362222-12-2-222-12-12-12-2-1-1-1-111-2-21111-1-122-221-211-2-2111111-1-122-1-1-1-1-1-1-2-222000000000020-2011-1-100000-101000
χ3722-2-2222i−2i0022-2-2-2-2022-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000002−2−i2i22−2−i2i22-2002i−2i00002−2−i2i22−2−i2i20000000
χ3822-2-2222i−2i0022-2-2-2-2022-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000002−2−i2i2−22i2−i2-2200−2i2i00002−2−i2i2−22i2−i20000000
χ3922-2-2222i−2i0022-2-2-2-2022-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000−22i2−i22−2−i2i2-2200−2i2i0000−22i2−i22−2−i2i20000000
χ4022-2-2222i−2i0022-2-2-2-2022-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000−22i2−i2−22i2−i22-2002i−2i0000−22i2−i2−22i2−i20000000
χ4122-2-222−2i2i0022-2-2-2-2022-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000002−2i2−i22−2i2−i22-200−2i2i00002−2i2−i22−2i2−i20000000
χ4222-2-222−2i2i0022-2-2-2-2022-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000002−2i2−i2−22−i2i2-22002i−2i00002−2i2−i2−22−i2i20000000
χ4322-2-222−2i2i0022-2-2-2-2022-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000−22−i2i22−2i2−i2-22002i−2i0000−22−i2i22−2i2−i20000000
χ4422-2-222−2i2i0022-2-2-2-2022-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000−22−i2i2−22−i2i22-200−2i2i0000−22−i2i2−22−i2i20000000
χ4544444-244-4-44-24-24-2-4-2-2-2-244-2-2-2-2-2-2-4-42200-4200002200000000220000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-24-2-2-2-2-4-4222222-4-422004-20000-2-200000000220000000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-4-2-2-2-2-2-244-2-2-2-222-4-4002-400002200000000220000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-244-2-2-2-222-4-4222222-4-400-240000-2-200000000220000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-241111-2-2-2-21111-2-2-2-244-2-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-241111-2-2-2-21111-2-2-2-2-4-4-2-2222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-2-41111-2-2-2-21111222200220000-1-133-3-30000-1-133-3-3000000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-2-41111-2-2-2-21111222200220000-1-1-3-3330000-1-1-3-333000000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-2-411112222-1-1-1-1-2-2-2-24-422-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-2-411112222-1-1-1-1-2-2-2-2-44222222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2411112222-1-1-1-1222200-2-200001133-3-30000-1-1-3-333000000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2411112222-1-1-1-1222200-2-2000011-3-3330000-1-133-3-3000000000000000000000000000000000
χ5744-4-44-24i−4i004-2-42-420-2-2224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000022−22−2i22i200000000000000−22i2−i20000000
χ5844-4-44-24i−4i004-2-42-420-2-2224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000−22222i2−2i2000000000000002−2−i2i20000000
χ5944-4-44-2−4i4i004-2-42-420-2-222−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000022−222i2−2i200000000000000−22−i2i20000000
χ6044-4-44-2−4i4i004-2-42-420-2-222−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000−2222−2i22i2000000000000002−2i2−i20000000
χ6144-4-4-244i−4i00-242-42-40-2-222−2i2i4i−4i−2i−2i2i2i000000000000000000000000000022−22−2i22i200000000000000−22i2−i200000000000
χ6244-4-4-244i−4i00-242-42-40-2-222−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000−22222i2−2i2000000000000002−2−i2i200000000000
χ6344-4-4-24−4i4i00-242-42-40-2-2222i−2i−4i4i2i2i−2i−2i000000000000000000000000000022−222i2−2i200000000000000−22−i2i200000000000
χ6444-4-4-24−4i4i00-242-42-40-2-2222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000−2222−2i22i2000000000000002−2i2−i200000000000
χ654-44-444004-4-4-444-4-404-4-44000000004-44-40000000000000000004-40000000000000000000000000000000000000
χ664-44-44400-44-4-444-4-404-4-4400000000-44-44000000000000000000-440000000000000000000000000000000000000
χ674-44-44-2004-4-424-2-420-222-2000000004-4-220000000000000000−2i32i3-22−2i32i3−2i32i3000000000000000000000000000000000
χ684-44-44-2004-4-424-2-420-222-2000000004-4-2200000000000000002i3−2i3-222i3−2i32i3−2i3000000000000000000000000000000000
χ694-44-44-200-44-424-2-420-222-200000000-442-2000000−2i32i300−2i32i3−2i32i300002-20000000000000000000000000000000000000
χ704-44-44-200-44-424-2-420-222-200000000-442-20000002i3−2i3002i3−2i32i3−2i300002-20000000000000000000000000000000000000
χ714-44-4-24004-42-4-242-40-222-200000000-224-40000−2i32i30000−2i32i32i3−2i30000-220000000000000000000000000000000000000
χ724-44-4-24004-42-4-242-40-222-200000000-224-400002i3−2i300002i3−2i3−2i32i30000-220000000000000000000000000000000000000
χ734-44-4-2400-442-4-242-40-222-2000000002-2-4400000000000000−2i32i3002-2−2i32i32i3−2i3000000000000000000000000000000000
χ744-44-4-2400-442-4-242-40-222-2000000002-2-44000000000000002i3−2i3002-22i3−2i3−2i32i3000000000000000000000000000000000
χ754-44-4-2-2004-422-2-22201-1-1100003-33-3-22-220000−2i32i3003-3i3−i3−i3i300−2i32i31-1i3−i3i3−i3000000000000000000000000000000000
χ764-44-4-2-2004-422-2-22201-1-1100003-33-3-22-2200002i3−2i3003-3−i3i3i3−i3002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000
χ774-44-4-2-2004-422-2-22201-1-110000-33-33-22-220000−2i32i300-33i3−i3−i3i3002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000
χ784-44-4-2-2004-422-2-22201-1-110000-33-33-22-2200002i3−2i300-33−i3i3i3−i300−2i32i31-1i3−i3i3−i3000000000000000000000000000000000
χ794-44-4-2-200-4422-2-22201-1-1100003-33-32-22-2000000−2i32i3-33i3−i3i3−i3−2i32i300-11i3−i3−i3i3000000000000000000000000000000000
χ804-44-4-2-200-4422-2-22201-1-1100003-33-32-22-20000002i3−2i3-33−i3i3−i3i32i3−2i300-11−i3i3i3−i3000000000000000000000000000000000
χ814-44-4-2-200-4422-2-22201-1-110000-33-332-22-2000000−2i32i33-3i3−i3i3−i32i3−2i300-11−i3i3i3−i3000000000000000000000000000000000
χ824-44-4-2-200-4422-2-22201-1-110000-33-332-22-20000002i3−2i33-3−i3i3−i3i3−2i32i300-11i3−i3−i3i3000000000000000000000000000000000
χ834-4-44440000-4-4-4-44404-44-400000000000000000000000000000000000000000000004-4000000000000000000000
χ844-4-44440000-4-4-4-44404-44-40000000000000000000000000000000000000000000000-44000000000000000000000
χ8588-8-8-4-48i−8i00-4-44444022-2-2−4i4i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4−8i8i00-4-44444022-2-24i−4i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ878-8-888-40000-84-848-40-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800004-84-8-480-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-402-22-200006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-402-22-20000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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