Finite Group Databasebeta

← Group #11895963

Character table — Group #11895963

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order12223344446666661212121234446661212121212121212121212122666666661212121212121212121212121244888824242424242424244448812121212242424244444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
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
χ51111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1
χ61111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11111-1-1-1-1-11-11-111-1-111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11111-1-1-1-1-1-11-1111-1-1-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-11-1-1-11111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111-11-11-1-111-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-1111-1-1-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-111-1-111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-11111-1-11-11-1-11-11
χ1722222222-2-222222222222-200222-2-2-2222222-2-2-2000000000-20000-2-2-2-2000000000000000000000000000000022-2-20000
χ1822222222-2-222222222222-200222-2-2-2222222-2-2-2000000000-20000-2-2-2-20000000000000000000000000000000-2-2220000
χ19222222-2-2-2-2222222-2-2-2-22200222-222-2-2-2-2-2-2-2-2-200000000020000-2-22200000000000000000000000000000002-2-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-222-2-2-2-2-2-2-2-2-200000000020000-2-2220000000000000000000000000000000-222-20000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200001111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111211-2-2-1-1-1-1111122-2-2-2-21111111120000-1-1-1-1000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-12-1-122-1-1-1-1-1-12-2-2-2111111211-2-2-1-1-1-11111-2-22222-1-1-1-1-1-1-1-1-200001111000000000000
χ2522222-1-2-22222-1-1-121111-1-222-1-1-1211-2-21111-1-12-2-2-2111111-2-1-122-1-111-1-1-1-12222-2-2-1-1-1-11111-20000-1-111000000000000
χ2622222-1-2-22222-1-1-121111-1-222-1-1-1211-2-21111-1-12-2-2-2111111-2-1-122-1-111-1-1-1-1-2-2-2-2221111-1-1-1-12000011-1-1000000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1211-2-21111-1-12222-1-1-1-1-1-1-211-2-2-1-111111122-2-2221111-1-1-1-1-20000-1-111000000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1211-2-21111-1-12222-1-1-1-1-1-1-211-2-2-1-1111111-2-222-2-2-1-1-1-111112000011-1-1000000000000
χ292222-122222-1-1222-12222-1222-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000000000022220000-1-1-1-10000-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-20000111100001100
χ312222-122222-1-1222-12222-12-2-2-1-1-1-122-1-1-1-1-1-122-1-211-2-21111-1-2-211-1-1-1-1111100000000000000022-2-2000011110000-1-100
χ322222-122222-1-1222-12222-12-2-2-1-1-1-122-1-1-1-1-1-122-1-211-2-21111-1-2-211-1-1-1-11111000000000000000-2-2220000-1-1-1-100001100
χ332222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-1-1-2-211111122-1-211-2-21111122-1-1-1-111-1-1-1-10000000000000002-22-20000-1-1110000-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-1-1-2-211111122-1-211-2-21111122-1-1-1-111-1-1-1-1000000000000000-22-22000011-1-100001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-12-1-122-1-1-1-11-2-211-1-11111110000000000000002-2-22000011-1-10000-1100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-12-1-122-1-1-1-11-2-211-1-1111111000000000000000-222-20000-1-11100001-100
χ3722-2-22200-222-2-22-2-20000202i−2i2-2-2-2000000002-2200000000002i−2i2i−2i2-2002i2i−2i−2i2-22i−2i002i2i−2i−2i0000000002-200000000000000
χ3822-2-22200-222-2-22-2-20000202i−2i2-2-2-2000000002-2200000000002i−2i2i−2i2-2002i2i−2i−2i-22−2i2i00−2i−2i2i2i000000000-2200000000000000
χ3922-2-22200-222-2-22-2-2000020−2i2i2-2-2-2000000002-220000000000−2i2i−2i2i2-200−2i−2i2i2i2-2−2i2i00−2i−2i2i2i0000000002-200000000000000
χ4022-2-22200-222-2-22-2-2000020−2i2i2-2-2-2000000002-220000000000−2i2i−2i2i2-200−2i−2i2i2i-222i−2i002i2i−2i−2i000000000-2200000000000000
χ4122-2-22-100-222-21-11-233−3−3-102i−2i-111-23−30033−3−3-112000−i3i3−i3−i3i3i30−ii2i−2i-113−3−i−iii2-22i−2i00−i−iii−i3−i3i3i300000-113−3000000000000
χ4222-2-22-100-222-21-11-233−3−3-102i−2i-111-23−30033−3−3-112000−i3i3−i3−i3i3i30−ii2i−2i-113−3−i−iii-22−2i2i00ii−i−ii3i3−i3−i3000001-1−33000000000000
χ4322-2-22-100-222-21-11-233−3−3-10−2i2i-111-23−30033−3−3-112000i3−i3i3i3−i3−i30i−i−2i2i-113−3ii−i−i2-2−2i2i00ii−i−ii3i3−i3−i300000-113−3000000000000
χ4422-2-22-100-222-21-11-233−3−3-10−2i2i-111-23−30033−3−3-112000i3−i3i3i3−i3−i30i−i−2i2i-113−3ii−i−i-222i−2i00−i−iii−i3−i3i3i3000001-1−33000000000000
χ4522-2-22-100-222-21-11-2−3−333-102i−2i-111-2−3300−3−333-112000i3−i3i3i3−i3−i30−ii2i−2i-11−33−i−iii2-22i−2i00−i−iiii3i3−i3−i300000-11−33000000000000
χ4622-2-22-100-222-21-11-2−3−333-102i−2i-111-2−3300−3−333-112000i3−i3i3i3−i3−i30−ii2i−2i-11−33−i−iii-22−2i2i00ii−i−i−i3−i3i3i3000001-13−3000000000000
χ4722-2-22-100-222-21-11-2−3−333-10−2i2i-111-2−3300−3−333-112000−i3i3−i3−i3i3i30i−i−2i2i-11−33ii−i−i2-2−2i2i00ii−i−i−i3−i3i3i300000-11−33000000000000
χ4822-2-22-100-222-21-11-2−3−333-10−2i2i-111-2−3300−3−333-112000−i3i3−i3−i3i3i30i−i−2i2i-11−33ii−i−i-222i−2i00−i−iiii3i3−i3−i3000001-13−3000000000000
χ4944444-244-4-444-2-2-24-2-2-2-2-2-400-2-2-2-42244-2-2-2-222-4000000000-400002222000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-242222-2400-2-2-2-4-2-2-4-4222222-40000000004000022-2-2000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-24444-2-400-2-2-22-4-4-2-2-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-4-4-4-4-2400-2-2-2244222222-4-42000000000-2000022-2-2000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111222-2-21111222000003-33-320000-1-1-1-13-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111222-2-2111122200000-33-3320000-1-1-1-1-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-222221-444111-22222-1-1-1-1-2-2-2-42222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-22222-1-1-1-1-2-2-24-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2222214001112-2-222-1-1-1-1222000003-33-3-20000-1-111-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2222214001112-2-222-1-1-1-122200000-33-33-20000-1-1113-33-300000000000000000000000000000000000
χ6144-4-444004-44-4-44-4-4000040004-4-4400000000-44-400000000000000-4400000000000000000000000000000000000000000
χ6244-4-44-2004-44-42-22-42323−23−23-2000-2224−2323002323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000000
χ6344-4-44-2004-44-42-22-4−23−232323-2000-222423−2300−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000000
χ6444-4-4-24004-4-22-44-420000-2000-222-200000000-4420−2i32i300−2i32i32i3−2i3000002-200000000000000000000000000000000000000000
χ6544-4-4-24004-4-22-44-420000-2000-222-200000000-44202i3−2i3002i3−2i3−2i32i3000002-200000000000000000000000000000000000000000
χ6644-4-4-2400-44-22-44-420000-204i−4i-2222000000004-4-200000000004i−4i−2i2i-2200−2i−2i2i2i00000000000000000000000000000000000
χ6744-4-4-2400-44-22-44-420000-20−4i4i-2222000000004-4-20000000000−4i4i2i−2i-22002i2i−2i−2i00000000000000000000000000000000000
χ6844-4-4-2-2004-4-222-2222323−23−2310001-1-1-2−232300−3−3332-220−2i32i300i3−i3−i3i300000-113−3−3i3i3i−3i00000000000000000000000000000000000
χ6944-4-4-2-2004-4-222-2222323−23−2310001-1-1-2−232300−3−3332-2202i3−2i300−i3i3i3−i300000-113−33i−3i−3i3i00000000000000000000000000000000000
χ7044-4-4-2-2004-4-222-222−23−23232310001-1-1-223−230033−3−32-220−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i00000000000000000000000000000000000
χ7144-4-4-2-2004-4-222-222−23−23232310001-1-1-223−230033−3−32-2202i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i00000000000000000000000000000000000
χ7244-4-4-2-200-44-222-2222323−23−23104i−4i1-1-1223−2300−3−333-22-2000−2i32i3i3i3−i3−i30−2i2i−2i2i1-1−33ii−i−i00000000000000000000000000000000000
χ7344-4-4-2-200-44-222-2222323−23−2310−4i4i1-1-1223−2300−3−333-22-20002i3−2i3−i3−i3i3i302i−2i2i−2i1-1−33−i−iii00000000000000000000000000000000000
χ7444-4-4-2-200-44-222-222−23−232323104i−4i1-1-12−23230033−3−3-22-20002i3−2i3−i3−i3i3i30−2i2i−2i2i1-13−3ii−i−i00000000000000000000000000000000000
χ7544-4-4-2-200-44-222-222−23−23232310−4i4i1-1-12−23230033−3−3-22-2000−2i32i3i3i3−i3−i302i−2i2i−2i1-13−3−i−iii00000000000000000000000000000000000
χ764-44-4440000-44-4-44-400004000-44-400000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000
χ774-44-4440000-44-4-44-400004000-44-4000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000
χ784-44-44-20000-4422-2-423−2323−23-20002-220000023−2323−2300000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i2000000000000000000000
χ794-44-44-20000-4422-2-423−2323−23-20002-220000023−2323−23000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i2000000000000000000000
χ804-44-44-20000-4422-2-4−2323−2323-20002-2200000−2323−232300000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i2000000000000000000000
χ814-44-44-20000-4422-2-4−2323−2323-20002-2200000−2323−2323000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i2000000000000000000000
χ824-4-44444-400-4-44-4-444-4-444000-4-440004-44-4-44000000000000000000000000000000000000000000000000000000000000
χ834-4-4444-4400-4-44-4-44-444-44000-4-44000-44-444-4000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-400-4-4-2224-222-2-200022-20004-4-222-200000000000000000000000000000006−6−66−666−6000000000000000000000
χ854-4-444-24-400-4-4-2224-222-2-200022-20004-4-222-20000000000000000000000000000000−666−66−6−66000000000000000000000
χ864-4-444-2-4400-4-4-22242-2-22-200022-2000-442-2-2200000000000000000000000000000006−6−666−6−66000000000000000000000
χ874-4-444-2-4400-4-4-22242-2-22-200022-2000-442-2-220000000000000000000000000000000−666−6−666−6000000000000000000000
χ884-4-44-244-400224-4-4-24-4-44-200022-2000-22-222-2000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ894-4-44-244-400224-4-4-24-4-44-200022-2000-22-222-2000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ904-4-44-24-4400224-4-4-2-444-4-200022-20002-22-2-22000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ914-4-44-24-4400224-4-4-2-444-4-200022-20002-22-2-22000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ928-88-8-4800004-4-8-8840000-40004-44000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400004-444-4443−4343−432000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400004-444-44−4343−43432000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-80044-444-4-444-42000-2-22000-442-2-22000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-880044-444-44-4-442000-2-220004-4-222-2000000000000000000000000000000000000000000000000000000000000

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