Finite Group Databasebeta

← Group #11895948

Character table — Group #11895948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666344446661212121212121212121212121212266666666121212121212121212121212124488884444488121212122424242424242424444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-111
χ611111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-11111
χ9111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-111-1-111-1-111-1-11-1-11-11-1
χ10111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-11-1111-1-111-1-1-1-111-111-11-11
χ11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-11-1-1-111-1-11111-1-1-1111-1-11
χ12111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11111-1-111-1-111-1-1111-1-1-111-1
χ13111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-1-11111-1-1-111-111-1
χ14111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1111-1-11-1-11
χ15111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-111-1-11-1-1-11-11
χ16111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-11111-1-1-1-111-1111-11-1
χ17222222-2-222222222-200222-222-2-2-2-2-2-2-2-2-2-2-200000000020000-2-22200000000002200000000000000000-22-20000
χ18222222-2-222222222-200222-222-2-2-2-2-2-2-2-2-2-2-200000000020000-2-2220000000000-2-2000000000000000002-220000
χ19222222-2-22222222-2200222-2-2-222222222-2-2-2000000000-20000-2-2-2-200000000002200000000000000000-2-220000
χ20222222-2-22222222-2200222-2-2-222222222-2-2-2000000000-20000-2-2-2-20000000000-2-20000000000000000022-20000
χ2122222-1222-12-12-1-12222-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222000002020-1-1-1-1-1-1-1-100000000000
χ2222222-1222-12-12-1-12222-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-20-201111111100000000000
χ2322222-1222-12-12-1-122-2-2-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-21111112-2-211-1-1-1-1111122-2-20000020-20-1-1-1-1111100000000000
χ2422222-1222-12-12-1-122-2-2-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-21111112-2-211-1-1-1-11111-2-22200000-20201111-1-1-1-100000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1211-2-2111111-1-12-2-2-2111111-222-1-1-1-111-1-1-1-1222200000-20-20-1-111-1-11100000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1211-2-2111111-1-12-2-2-2111111-222-1-1-1-111-1-1-1-1-2-2-2-200000202011-1-111-1-100000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1211-2-2111111-1-12222-1-1-1-1-1-1-2-2-211-1-111111122-2-200000-2020-1-11111-1-100000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1211-2-2111111-1-12222-1-1-1-1-1-1-2-2-211-1-1111111-2-2220000020-2011-1-1-1-11100000000000
χ292222-1222-12-12-12-12222-1-1-1-122-1-122-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022002020200000000-1-1-1-1000-1-100
χ302222-1222-12-12-12-12222-1-1-1-122-1-122-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-20-20-20000000011110001100
χ312222-1222-12-12-12-122-2-2-1-1-1-122-1-122-1-1-1-122-1-211-2-21111-111-2-2-1-1-1-1111100002200-20-20200000000-1-1-1-10001100
χ322222-1222-12-12-12-122-2-2-1-1-1-122-1-122-1-1-1-122-1-211-2-21111-111-2-2-1-1-1-111110000-2-2002020-2000000001111000-1-100
χ332222-1222-12-12-12-1-2-222-1-1-1-1-2-211-2-2111122-1-211-2-211111-1-122-1-111-1-1-1-10000220020-20-200000000-1-111000-1100
χ342222-1222-12-12-12-1-2-222-1-1-1-1-2-211-2-2111122-1-211-2-211111-1-122-1-111-1-1-1-10000-2-200-202020000000011-1-10001-100
χ352222-1222-12-12-12-1-2-2-2-2-1-1-1-1-2-211-2-2111122-12-1-122-1-1-1-1111-2-2-1-111111100002200-2020-200000000-1-1110001-100
χ362222-1222-12-12-12-1-2-2-2-2-1-1-1-1-2-211-2-2111122-12-1-122-1-1-1-1111-2-2-1-11111110000-2-20020-2020000000011-1-1000-1100
χ3722-2-222-222-2-22-2-22002i−2i2-2-2-200000000002-2200000000002i−2i2i−2i2-2002i2i−2i−2i2-22i−2i0000000002-2002i−2i0000000000000
χ3822-2-222-222-2-22-2-22002i−2i2-2-2-200000000002-2200000000002i−2i2i−2i2-2002i2i−2i−2i-22−2i2i000000000-2200−2i2i0000000000000
χ3922-2-222-222-2-22-2-2200−2i2i2-2-2-200000000002-220000000000−2i2i−2i2i2-200−2i−2i2i2i2-2−2i2i0000000002-200−2i2i0000000000000
χ4022-2-222-222-2-22-2-2200−2i2i2-2-2-200000000002-220000000000−2i2i−2i2i2-200−2i−2i2i2i-222i−2i000000000-22002i−2i0000000000000
χ4122-2-22-1-2221-2-1-21-1002i−2i-111-23−3003−333−3−3-112000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii2-22i−2i000000000-113−3−ii−i3i300000000000
χ4222-2-22-1-2221-2-1-21-1002i−2i-111-23−3003−333−3−3-112000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii-22−2i2i0000000001-1−33i−ii3−i300000000000
χ4322-2-22-1-2221-2-1-21-1002i−2i-111-2−3300−33−3−333-112000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii2-22i−2i000000000-11−33−iii3−i300000000000
χ4422-2-22-1-2221-2-1-21-1002i−2i-111-2−3300−33−3−333-112000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii-22−2i2i0000000001-13−3i−i−i3i300000000000
χ4522-2-22-1-2221-2-1-21-100−2i2i-111-23−3003−333−3−3-112000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i2-2−2i2i000000000-113−3i−ii3−i300000000000
χ4622-2-22-1-2221-2-1-21-100−2i2i-111-23−3003−333−3−3-112000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i-222i−2i0000000001-1−33−ii−i3i300000000000
χ4722-2-22-1-2221-2-1-21-100−2i2i-111-2−3300−33−3−333-112000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i2-2−2i2i000000000-11−33i−i−i3i300000000000
χ4822-2-22-1-2221-2-1-21-100−2i2i-111-2−3300−33−3−333-112000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i-222i−2i0000000001-13−3−iii3−i300000000000
χ4944444-2-4-44-24-24-2-24-400-2-2-2-4-2-2-4-422222222-40000000004000022-2-2000000000000000000000000000000000000
χ5044444-2-4-44-24-24-2-2-4400-2-2-2-42244-2-2-2-2-2-222-4000000000-400002222000000000000000000000000000000000000
χ514444-24-4-4-24-24-24-24-400-2-2-224422-4-42222-4-42000000000-2000022-2-2000000000000000000000000000000000000
χ524444-24-4-4-24-24-24-2-4400-2-2-22-4-4-2-244-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2222222-1-1-1-1-2-2-2-42222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-4111-2222222-1-1-1-1-2-2-24-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-4001112-2-22222-1-1-1-1222000003-33-3-20000-1-1113-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-4001112-2-22222-1-1-1-122200000-33-33-20000-1-111-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-4400111222-2-2-2-21111222000003-33-320000-1-1-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-4400111222-2-2-2-2111122200000-33-3320000-1-1-1-13-33-300000000000000000000000000000000
χ6144-4-4444-44-4-44-4-4400004-4-440000000000-44-400000000000000-4400000000000000000000000000000000000000
χ6244-4-44-24-442-4-2-42-20000-222423−2300−2323−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000
χ6344-4-44-24-442-4-2-42-20000-2224−23230023−232323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000
χ6444-4-4-244-4-2-4242-4-20000-222-20000000000-4420−2i32i300−2i32i32i3−2i3000002-200000000000000000000000000000000000000
χ6544-4-4-244-4-2-4242-4-20000-222-20000000000-44202i3−2i3002i3−2i3−2i32i3000002-200000000000000000000000000000000000000
χ6644-4-4-24-44-2-4242-4-2004i−4i-222200000000004-4-20000000000−2i2i4i−4i-2200−2i−2i2i2i00000000000000000000000000000000
χ6744-4-4-24-44-2-4242-4-200−4i4i-222200000000004-4-200000000002i−2i−4i4i-22002i2i−2i−2i00000000000000000000000000000000
χ6844-4-4-2-24-4-222-222100001-1-1-223−2300−232333−3−32-220−2i32i300i3−i3−i3i300000-11−33−3i3i3i−3i00000000000000000000000000000000
χ6944-4-4-2-24-4-222-222100001-1-1-223−2300−232333−3−32-2202i3−2i300−i3i3i3−i300000-11−333i−3i−3i3i00000000000000000000000000000000
χ7044-4-4-2-24-4-222-222100001-1-1-2−23230023−23−3−3332-220−2i32i300i3−i3−i3i300000-113−33i−3i−3i3i00000000000000000000000000000000
χ7144-4-4-2-24-4-222-222100001-1-1-2−23230023−23−3−3332-2202i3−2i300−i3i3i3−i300000-113−3−3i3i3i−3i00000000000000000000000000000000
χ7244-4-4-2-2-44-222-2221004i−4i1-1-1223−230023−23−3−333-22-2000−2i32i3i3i3−i3−i30−2i2i−2i2i1-1−33ii−i−i00000000000000000000000000000000
χ7344-4-4-2-2-44-222-2221004i−4i1-1-12−232300−232333−3−3-22-20002i3−2i3−i3−i3i3i30−2i2i−2i2i1-13−3ii−i−i00000000000000000000000000000000
χ7444-4-4-2-2-44-222-222100−4i4i1-1-1223−230023−23−3−333-22-20002i3−2i3−i3−i3i3i302i−2i2i−2i1-1−33−i−iii00000000000000000000000000000000
χ7544-4-4-2-2-44-222-222100−4i4i1-1-12−232300−232333−3−3-22-2000−2i32i3i3i3−i3−i302i−2i2i−2i1-13−3−i−iii00000000000000000000000000000000
χ764-44-44400-444-4-4-440000-44-40000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ774-44-44400-444-4-4-440000-44-400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ784-44-4-240024-2-42-4-200002-2200023−230023−2323−2300000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ794-44-4-240024-2-42-4-200002-2200023−230023−2323−23000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ804-44-4-240024-2-42-4-200002-22000−232300−2323−232300000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ814-44-4-240024-2-42-4-200002-22000−232300−2323−2323000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ824-4-444400-4-4-4-44440000-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ834-4-444400-4-4-4-44440000-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ848-88-88-400-8-484-84-400004-4400000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4-444420000-22-200043−4300−2323−2323000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-4-444420000-22-2000−43430023−2323−23000000000000000000000000000000000000000000000000000000000
χ878-8-888-400-84-848-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-84-8-48-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-420000-2-2200000006-6-66000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-420000-2-220000000-666-6000000000000000000000000000000000000000000000000000000000

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