Finite Group Databasebeta

← Group #11889251

Character table — Group #11889251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122233444466666612121212222366666121212121212121212124666666666661212121212121212121244888824242424242424244448812121212242424242444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111
χ7111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1-11-111-1-111-1-1-1-111-11-11
χ10111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-1111-1-1-1-11111-1-11-11-1
χ11111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1-111-1-1-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-111-11-1-111-1-111-1-1111-1-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111111-1-1-1111-1-1-1-111-1-111-111-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-111-111-1-111-1-111-1-11-1-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-11-1-111-1-11111-1-1-11-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1111-1-1-11111-1-1-1-1111-11-1
χ1722222222-2-22222222222-2002-2-2222-2222222-2-2-20-20000-2-200000000-2-200000000000000000000000000000002-2-220000
χ1822222222-2-22222222222-2002-2-2222-2222222-2-2-20-20000-2-200000000-2-20000000000000000000000000000000-222-20000
χ19222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-20200002200000000-2-200000000000000000000000000000002-22-20000
χ20222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-20200002200000000-2-20000000000000000000000000000000-22-220000
χ2122222-122222-12-1-12-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-102000-1-1-1-1000000000000
χ2222222-122222-12-1-12-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111110-20001111000000000000
χ2322222-122222-12-1-12-1-1-1-12-2-2-1-1-1-1-1-1-122-1-1-1-122-1-22-2-211-1-1111111-2-2-1-1111122-2-2-2-21111111102000-1-1-1-1000000000000
χ2422222-122222-12-1-12-1-1-1-12-2-2-1-1-1-1-1-1-122-1-1-1-122-1-22-2-211-1-1111111-2-2-1-11111-2-22222-1-1-1-1-1-1-1-10-20001111000000000000
χ2522222-1-2-2222-12-1-121111-222-111-1-1-1-1-2-2111122-1-2-222-1-111-1-1-1-111-2-2-1-111112222-2-2-1-1-1-111110-2000-1-111000000000000
χ2622222-1-2-2222-12-1-121111-222-111-1-1-1-1-2-2111122-1-2-222-1-111-1-1-1-111-2-2-1-11111-2-2-2-2221111-1-1-1-10200011-1-1000000000000
χ2722222-1-2-2222-12-1-121111-2-2-2-111-1-1-1-1-2-2111122-12-2-2-211111111-1-122-1-1-1-1-1-122-2-2221111-1-1-1-10-2000-1-111000000000000
χ2822222-1-2-2222-12-1-121111-2-2-2-111-1-1-1-1-2-2111122-12-2-2-211111111-1-122-1-1-1-1-1-1-2-222-2-2-1-1-1-111110200011-1-1000000000000
χ292222-122222-12-122-12222222-122-1-1-12-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000202220000-1-1-1-10000-1-100
χ302222-122222-12-122-12222222-122-1-1-12-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000-20-2-2-20000111100001100
χ312222-122222-12-122-122222-2-2-122-1-1-12-1-1-1-1-1-1-1-12-2-111-2-2-1-11111-2-211-1-1111100000000000000202-2-2000011110000-1-100
χ322222-122222-12-122-122222-2-2-122-1-1-12-1-1-1-1-1-1-1-12-2-111-2-2-1-11111-2-211-1-1111100000000000000-20-2220000-1-1-1-100001100
χ332222-12-2-222-12-122-1-2-2-2-2-222-1-2-2-1-1-12111111-1-12-21-1-12211-1-1-1-1-2-211-1-111110000000000000020-22-20000-1-11100001-100
χ342222-12-2-222-12-122-1-2-2-2-2-222-1-2-2-1-1-12111111-1-12-21-1-12211-1-1-1-1-2-211-1-1111100000000000000-202-22000011-1-10000-1100
χ352222-12-2-222-12-122-1-2-2-2-2-2-2-2-1-2-2-1-1-12111111-1-122111-2-211111122-1-1-1-1-1-1-1-10000000000000020-2-22000011-1-100001-100
χ362222-12-2-222-12-122-1-2-2-2-2-2-2-2-1-2-2-1-1-12111111-1-122111-2-211111122-1-1-1-1-1-1-1-100000000000000-2022-20000-1-1110000-1100
χ3722-2-222002-2-22-2-2-22000002-2200-2-2220000002-2-2002-22-20022-2-200002-200002i−2i2i−2i002i2i−2i−2i0000000002i−2i00000000000000
χ3822-2-222002-2-22-2-2-22000002-2200-2-2220000002-2-2002-22-20022-2-200002-20000−2i2i−2i2i00−2i−2i2i2i000000000−2i2i00000000000000
χ3922-2-222002-2-22-2-2-2200000-22200-2-2220000002-2-200-22-2200-2-22200002-200002i−2i−2i2i00−2i−2i2i2i0000000002i−2i00000000000000
χ4022-2-222002-2-22-2-2-2200000-22200-2-2220000002-2-200-22-2200-2-22200002-20000−2i2i2i−2i002i2i−2i−2i000000000−2i2i00000000000000
χ4122-2-22-1002-2-2-1-2112−i3−i3i3i302-2-1−i3i311-1-100−i3−i3i3i32-21002-2-11−i3i3-1-111−i3i300-11−i3−i3i3i32i−2i2i−2i00−i−iii33−3−300000−ii3−3000000000000
χ4222-2-22-1002-2-2-1-2112−i3−i3i3i302-2-1−i3i311-1-100−i3−i3i3i32-21002-2-11−i3i3-1-111−i3i300-11−i3−i3i3i3−2i2i−2i2i00ii−i−i−3−33300000i−i−33000000000000
χ4322-2-22-1002-2-2-1-2112−i3−i3i3i30-22-1−i3i311-1-100−i3−i3i3i32-2100-221-1−i3i311-1-1i3−i300-11i3i3−i3−i32i−2i−2i2i00ii−i−i−3−33300000−ii3−3000000000000
χ4422-2-22-1002-2-2-1-2112−i3−i3i3i30-22-1−i3i311-1-100−i3−i3i3i32-2100-221-1−i3i311-1-1i3−i300-11i3i3−i3−i3−2i2i2i−2i00−i−iii33−3−300000i−i−33000000000000
χ4522-2-22-1002-2-2-1-2112i3i3−i3−i302-2-1i3−i311-1-100i3i3−i3−i32-21002-2-11i3−i3-1-111i3−i300-11i3i3−i3−i32i−2i2i−2i00−i−iii−3−33300000−ii−33000000000000
χ4622-2-22-1002-2-2-1-2112i3i3−i3−i302-2-1i3−i311-1-100i3i3−i3−i32-21002-2-11i3−i3-1-111i3−i300-11i3i3−i3−i3−2i2i−2i2i00ii−i−i33−3−300000i−i3−3000000000000
χ4722-2-22-1002-2-2-1-2112i3i3−i3−i30-22-1i3−i311-1-100i3i3−i3−i32-2100-221-1i3−i311-1-1−i3i300-11−i3−i3i3i32i−2i−2i2i00ii−i−i33−3−300000−ii−33000000000000
χ4822-2-22-1002-2-2-1-2112i3i3−i3−i30-22-1i3−i311-1-100i3i3−i3−i32-2100-221-1i3−i311-1-1−i3i300-11−i3−i3i3i3−2i2i2i−2i00−i−iii−3−33300000i−i3−3000000000000
χ4944444-244-4-44-24-2-24-2-2-2-2-400-222-2-2-2244-2-2-2-2-4-420-40000220000000022000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-24-2-242222400-2-2-2-2-2-22-4-42222-4-42040000-2-20000000022000000000000000000000000000000000000000
χ514444-2444-4-4-24-244-24444-400-2-4-4-2-2-2-4-2-2-2-2-2-222-4020000220000000022000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-244-2-4-4-4-4400-244-2-2-2-422222222-40-20000-2-20000000022000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-24441-2-2111-2-2-21111-2-2-24-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-24-4-41-2-2111-2-2-21111-2-2-2-4-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001221112-2-21111222020000-1-13-33-30000-1-13-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001221112-2-21111222020000-1-1-33-330000-1-1-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222-444122111-222-1-1-1-1-2-2-2-42-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-22222-4-4-4122111-222-1-1-1-1-2-2-2422222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-2111222-1-1-1-12220-20000113-33-30000-1-1-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-2111222-1-1-1-12220-2000011-33-330000-1-13-33-300000000000000000000000000000000000
χ6144-4-44400-44-44-4-4-440000000400-4-44-4000000-4440000000000000000-44000000000000000000000000000000000000000
χ6244-4-44-200-44-4-2-4224−2i3−2i32i32i3000-22i3−2i322-2200−2i3−2i32i32i3-44-20000002i3−2i3000000002-2000000000000000000000000000000000000000
χ6344-4-44-200-44-4-2-42242i32i3−2i3−2i3000-2−2i32i322-22002i32i3−2i3−2i3-44-2000000−2i32i3000000002-2000000000000000000000000000000000000000
χ6444-4-4-24004-4242-4-4-2000004-4-20022-24000000-22-400-224-400-2-2220000-22000000000000000000000000000000000000000
χ6544-4-4-24004-4242-4-4-200000-44-20022-24000000-22-4002-2-440022-2-20000-22000000000000000000000000000000000000000
χ6644-4-4-2400-44242-4-4-20000000-20022-2-40000002-2400000000000000−2i32i32-2−2i32i32i3−2i300000000000000000000000000000000000
χ6744-4-4-2400-44242-4-4-20000000-20022-2-40000002-24000000000000002i3−2i32-22i3−2i3−2i32i300000000000000000000000000000000000
χ6844-4-4-2-2004-42-2222-2−2i3−2i32i32i304-41−2i32i3-1-11-200i3i3−i3−i3-22200-22-22i3−i311-1-1−2i32i3001-1i3i3−i3−i300000000000000000000000000000000000
χ6944-4-4-2-2004-42-2222-2−2i3−2i32i32i30-441−2i32i3-1-11-200i3i3−i3−i3-222002-22-2i3−i3-1-1112i3−2i3001-1−i3−i3i3i300000000000000000000000000000000000
χ7044-4-4-2-2004-42-2222-22i32i3−2i3−2i304-412i3−2i3-1-11-200−i3−i3i3i3-22200-22-22−i3i311-1-12i3−2i3001-1−i3−i3i3i300000000000000000000000000000000000
χ7144-4-4-2-2004-42-2222-22i32i3−2i3−2i30-4412i3−2i3-1-11-200−i3−i3i3i3-222002-22-2−i3i3-1-111−2i32i3001-1i3i3−i3−i300000000000000000000000000000000000
χ7244-4-4-2-200-442-2222-2−2i3−2i32i32i300012i3−2i3-1-11200i3i3−i3−i32-2-2000000−i3i33-3-33002i3−2i3-11−i3i3i3−i300000000000000000000000000000000000
χ7344-4-4-2-200-442-2222-2−2i3−2i32i32i300012i3−2i3-1-11200i3i3−i3−i32-2-2000000−i3i3-333-300−2i32i3-11i3−i3−i3i300000000000000000000000000000000000
χ7444-4-4-2-200-442-2222-22i32i3−2i3−2i30001−2i32i3-1-11200−i3−i3i3i32-2-2000000i3−i33-3-3300−2i32i3-11i3−i3−i3i300000000000000000000000000000000000
χ7544-4-4-2-200-442-2222-22i32i3−2i3−2i30001−2i32i3-1-11200−i3−i3i3i32-2-2000000i3−i3-333-3002i3−2i3-11−i3i3i3−i300000000000000000000000000000000000
χ764-44-4444i−4i00-4-444-4-44i−4i4i−4i0004004-4-404i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ774-44-444−4i4i00-4-444-4-4−4i4i−4i4i0004004-4-40−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ784-44-44-24i−4i00-424-22-4−2i2i−2i2i000-200-22204i−4i−2i2i−2i2i00000000000000000000000000000006−66−6i6−i6i6−i6000000000000000000000
χ794-44-44-24i−4i00-424-22-4−2i2i−2i2i000-200-22204i−4i−2i2i−2i2i0000000000000000000000000000000−66−66−i6i6−i6i6000000000000000000000
χ804-44-44-2−4i4i00-424-22-42i−2i2i−2i000-200-2220−4i4i2i−2i2i−2i00000000000000000000000000000006−66−6−i6i6−i6i6000000000000000000000
χ814-44-44-2−4i4i00-424-22-42i−2i2i−2i000-200-2220−4i4i2i−2i2i−2i0000000000000000000000000000000−66−66i6−i6i6−i6000000000000000000000
χ824-44-4-244i−4i002-4-24-424i−4i4i−4i000-200-2220−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000006−6i6−i600000000
χ834-44-4-244i−4i002-4-24-424i−4i4i−4i000-200-2220−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000−66−i6i600000000
χ844-44-4-24−4i4i002-4-24-42−4i4i−4i4i000-200-22202i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000006−6−i6i600000000
χ854-44-4-24−4i4i002-4-24-42−4i4i−4i4i000-200-22202i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000−66i6−i600000000
χ864-4-444400004-4-4-44-40000000400-44-4000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000
χ874-4-444400004-4-4-44-40000000400-44-40000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000
χ884-4-444-2000042-42-2-423−23−2323000-2002-2200023−23−232300000000000000000000000000000−2i22i2i6−i6−i6i6i2−i2−i2i2000000000000000000000
χ894-4-444-2000042-42-2-423−23−2323000-2002-2200023−23−2323000000000000000000000000000002i2−2i2−i6i6i6−i6−i2i2i2−i2000000000000000000000
χ904-4-444-2000042-42-2-4−232323−23000-2002-22000−232323−2300000000000000000000000000000−2i22i2−i6i6i6−i6i2−i2−i2i2000000000000000000000
χ914-4-444-2000042-42-2-4−232323−23000-2002-22000−232323−23000000000000000000000000000002i2−2i2i6−i6−i6i6−i2i2i2−i2000000000000000000000
χ928-88-8-4-48i−8i0044-4-444−4i4i−4i4i0002002-2-20−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4−8i8i0044-4-4444i−4i4i−4i0002002-2-204i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-4-84-8840000000-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000-4444-4443−43−4343000200-22-2000−232323−23000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000-4444-44−434343−43000200-22-200023−23−2323000000000000000000000000000000000000000000000000000000000000

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