Finite Group Databasebeta

← Group #11876916

Character table — Group #11876916

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12223344444466666636661212121212121212121212121212121244121212121212121212121212121212121212121288888888444424446612121212121224242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111111-11-111-1-1-1-11111-1-111-1-1-1-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-111-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-11-11-1-11111-1-1-1-111-1-111-1-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-11111-11-11-1-11111-1-111-1-111-1-1-1-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111111-11-111-1-1-1-111-1-111-1-111-1-1-11
χ1722222222-2-2-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000-2-222000000000000000022-2-2000000000000000000002-200
χ1822222222-2-2-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000-2-2220000000000000000-2-22200000000000000000000-2200
χ19222222-2-222-2-2222222222222-2-222-2-22222-2-2-2-20000000000-2-2-2-2000000000000000022-2-200000000000000000000-2200
χ20222222-2-222-2-2222222222222-2-222-2-22222-2-2-2-20000000000-2-2-2-20000000000000000-2-222000000000000000000002-200
χ2122222-1222222-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-100-1-100-1-1-1-100000000
χ2222222-1222222-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011001100111100000000
χ2322222-1222222-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-111111111222200000000-2-20011001100-1-1-1-100000000
χ2422222-1222222-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-111111111-2-2-2-2000000002200-1-100-1-100111100000000
χ2522222-1-2-2-2-222-12-122-1-1-1-1-111-2-2-2-2111111-1-1222-2-1-1-2-22211-1-111-1-1-1-1111122-2-2000000002-200-1-1001100-1-11100000000
χ2622222-1-2-2-2-222-12-122-1-1-1-1-111-2-2-2-2111111-1-1222-2-1-1-2-22211-1-111-1-1-1-11111-2-22200000000-22001100-1-10011-1-100000000
χ2722222-1-2-2-2-222-12-122-1-1-1-1-111-2-2-2-2111111-1-122-221122-2-2-1-1-1-1111111-1-1-1-122-2-200000000-22001100-1-100-1-11100000000
χ2822222-1-2-2-2-222-12-122-1-1-1-1-111-2-2-2-2111111-1-122-221122-2-2-1-1-1-1111111-1-1-1-1-2-222000000002-200-1-100110011-1-100000000
χ292222-122222222-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200-1-100-1-10000-1-1-1-10000
χ302222-122222222-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200110011000011110000
χ312222-122222222-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-11111111100002222000000-2-2001100110000-1-1-1-10000
χ322222-122222222-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-2-2-2-21111-2-2-1-1-1-1111111110000-2-2-2-20000002200-1-100-1-1000011110000
χ332222-12-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2111122-1-12-22211-1-1-2-2-1-111-1-1-1-11111000022-2-20000002-2001100-1-10000-1-1110000
χ342222-12-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2111122-1-12-22211-1-1-2-2-1-111-1-1-1-111110000-2-222000000-2200-1-10011000011-1-10000
χ352222-12-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2111122-1-1-22-2-2-1-11122-1-1111111-1-1-1-1000022-2-2000000-2200-1-100110000-1-1110000
χ362222-12-2-2-2-2222-12-1-12-1-1-1-1-2-21111-2-2111122-1-1-22-2-2-1-11122-1-1111111-1-1-1-10000-2-2220000002-2001100-1-1000011-1-10000
χ3722-2-2222i−2i2i−2i2-2-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i0000000000002-22i−2i000000000000000000002-22i−2i0000
χ3822-2-2222i−2i2i−2i2-2-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i000000000000-22−2i2i00000000000000000000-22−2i2i0000
χ3922-2-2222i−2i−2i2i-22-2-22-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i000000002-22i−2i000000000000000000002-22i−2i00000000
χ4022-2-2222i−2i−2i2i-22-2-22-22-22-22-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i00000000-22−2i2i00000000000000000000-22−2i2i00000000
χ4122-2-222−2i2i2i−2i-22-2-22-22-22-22-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i000000002-2−2i2i000000000000000000002-2−2i2i00000000
χ4222-2-222−2i2i2i−2i-22-2-22-22-22-22-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i00000000-222i−2i00000000000000000000-222i−2i00000000
χ4322-2-222−2i2i−2i2i2-2-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i0000000000002-2−2i2i000000000000000000002-2−2i2i0000
χ4422-2-222−2i2i−2i2i2-2-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i000000000000-222i−2i00000000000000000000-222i−2i0000
χ4522-2-22-12i−2i−2i2i-221-2-1-221-11-11i−i2i−2i−2i2i−iiii−i−i1-1-2200−i3i300003−31-1−ii−i3−i3i3i333−3−32-22i−2i000000000000−i3i3003−300-11−ii00000000
χ4622-2-22-12i−2i−2i2i-221-2-1-221-11-11i−i2i−2i−2i2i−iiii−i−i1-1-2200−i3i300003−31-1−ii−i3−i3i3i333−3−3-22−2i2i000000000000i3−i300−33001-1i−i00000000
χ4722-2-22-12i−2i−2i2i-221-2-1-221-11-11i−i2i−2i−2i2i−iiii−i−i1-1-2200i3−i30000−331-1−iii3i3−i3−i3−3−3332-22i−2i000000000000i3−i300−3300-11−ii00000000
χ4822-2-22-12i−2i−2i2i-221-2-1-221-11-11i−i2i−2i−2i2i−iiii−i−i1-1-2200i3−i30000−331-1−iii3i3−i3−i3−3−333-22−2i2i000000000000−i3i3003−3001-1i−i00000000
χ4922-2-22-1−2i2i2i−2i-221-2-1-221-11-11−ii−2i2i2i−2ii−i−i−iii1-1-2200−i3i30000−331-1i−i−i3−i3i3i3−3−3332-2−2i2i000000000000−i3i300−3300-11i−i00000000
χ5022-2-22-1−2i2i2i−2i-221-2-1-221-11-11−ii−2i2i2i−2ii−i−i−iii1-1-2200−i3i30000−331-1i−i−i3−i3i3i3−3−333-222i−2i000000000000i3−i3003−3001-1−ii00000000
χ5122-2-22-1−2i2i2i−2i-221-2-1-221-11-11−ii−2i2i2i−2ii−i−i−iii1-1-2200i3−i300003−31-1i−ii3i3−i3−i333−3−32-2−2i2i000000000000i3−i3003−300-11i−i00000000
χ5222-2-22-1−2i2i2i−2i-221-2-1-221-11-11−ii−2i2i2i−2ii−i−i−iii1-1-2200i3−i300003−31-1i−ii3i3−i3−i333−3−3-222i−2i000000000000−i3i300−33001-1−ii00000000
χ5322-2-2-122i−2i2i−2i2-2-2121-1-2-11-112i−2i−ii−ii2i−2i−i−iii2-2-1100003−3−i3i300-11−ii−i3i3−i3i33−33−300002-22i−2i00000000003−300−i3i30000-11−ii0000
χ5422-2-2-122i−2i2i−2i2-2-2121-1-2-11-112i−2i−ii−ii2i−2i−i−iii2-2-1100003−3−i3i300-11−ii−i3i3−i3i33−33−30000-22−2i2i0000000000−3300i3−i300001-1i−i0000
χ5522-2-2-122i−2i2i−2i2-2-2121-1-2-11-112i−2i−ii−ii2i−2i−i−iii2-2-110000−33i3−i300-11−iii3−i3i3−i3−33−3300002-22i−2i0000000000−3300i3−i30000-11−ii0000
χ5622-2-2-122i−2i2i−2i2-2-2121-1-2-11-112i−2i−ii−ii2i−2i−i−iii2-2-110000−33i3−i300-11−iii3−i3i3−i3−33−330000-22−2i2i00000000003−300−i3i300001-1i−i0000
χ5722-2-2-12−2i2i−2i2i2-2-2121-1-2-11-11−2i2ii−ii−i−2i2iii−i−i2-2-1100003−3i3−i300-11i−ii3−i3i3−i33−33−300002-2−2i2i00000000003−300i3−i30000-11i−i0000
χ5822-2-2-12−2i2i−2i2i2-2-2121-1-2-11-11−2i2ii−ii−i−2i2iii−i−i2-2-1100003−3i3−i300-11i−ii3−i3i3−i33−33−30000-222i−2i0000000000−3300−i3i300001-1−ii0000
χ5922-2-2-12−2i2i−2i2i2-2-2121-1-2-11-11−2i2ii−ii−i−2i2iii−i−i2-2-110000−33−i3i300-11i−i−i3i3−i3i3−33−3300002-2−2i2i0000000000−3300−i3i30000-11i−i0000
χ6022-2-2-12−2i2i−2i2i2-2-2121-1-2-11-11−2i2ii−ii−i−2i2iii−i−i2-2-110000−33−i3i300-11i−i−i3i3−i3i3−33−330000-222i−2i00000000003−300i3−i300001-1−ii0000
χ6144444-244-4-4-4-4-24-244-2-2-2-2-22244-4-4-2-2222222-4-4000000000022-2-200000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-24-244-2-2-2-2-2-2-2-4-44422-2-2-2-222-4-40000000000222200000000000000000000000000000000000000000000
χ634444-2444-4-4-4-44-24-2-24-2-2-2-2-4-4-2-222442222-4-422000000000022-2-200000000000000000000000000000000000000000000
χ644444-24-4-444-4-44-24-2-24-2-2-2-24422-2-2-4-4-2-2-2-2-4-4220000000000222200000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2111122-2-222-2-2-1-1-1-122220000000000-1-1113-3-333-3-33000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2111122-2-222-2-2-1-1-1-122220000000000-1-111-333-3-333-3000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222-2-222111122220000000000-1-1-1-13-3-33-333-3000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222-2-222111122220000000000-1-1-1-1-333-33-3-33000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-1-1-1-1-2-2-2-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-1-1-1-1-2-2-2-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7344-4-44-24i−4i4i−4i4-42-4-2-442-22-22−2i2i4i−4i4i−4i−2i2i−2i−2i2i2i-224-40000000000-22−2i2i00000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-42-4-2-442-22-222i−2i−4i4i−4i4i2i−2i2i2i−2i−2i-224-40000000000-222i−2i00000000000000000000000000000000000000000000
χ7544-4-4-244i−4i−4i4i-44-4242-2-4-22-22−4i4i−2i2i2i−2i4i−4i2i2i−2i−2i-442-200000000002-2−2i2i00000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i4i−4i-44-4242-2-4-22-224i−4i2i−2i−2i2i−4i4i−2i−2i2i2i-442-200000000002-22i−2i00000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-422-22-221-11-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-22000023−23−2i32i3001-1i−ii3−i3i3−i3−33−33000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-422-22-221-11-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-220000−23232i3−2i3001-1i−i−i3i3−i3i33−33−3000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-4422-22-221-11-12i−2i−2i2i2i−2i−2i2i−i−iii2-22-200−2i32i3000023−23-11i−ii3i3−i3−i3−3−333000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-4422-22-221-11-12i−2i−2i2i2i−2i−2i2i−i−iii2-22-2002i3−2i30000−2323-11i−i−i3−i3i3i333−3−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-4422-22-221-11-1−2i2i2i−2i−2i2i2i−2iii−i−i2-22-200−2i32i30000−2323-11−iii3i3−i3−i333−3−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-4422-22-221-11-1−2i2i2i−2i−2i2i2i−2iii−i−i2-22-2002i3−2i3000023−23-11−ii−i3−i3i3i3−3−333000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-422-22-221-11-12i−2i2i−2i2i−2i2i−2i−i−iii-22-22000023−232i3−2i3001-1−ii−i3i3−i3i3−33−33000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-422-22-221-11-12i−2i2i−2i2i−2i2i−2i−i−iii-22-220000−2323−2i32i3001-1−iii3−i3i3−i33−33−3000000000000000000000000000000000000
χ854-44-444000000-44-4-4-444-4-440000000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ864-44-444000000-44-4-4-444-4-44000000000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ874-4-44440000004-4-44-4-444-4-400000000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ884-4-44440000004-4-44-4-444-4-40000000000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ898-88-88-4000000484-8-8-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-48000000-8-4-8448-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000004-4444-42-2-22000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000004-4444-42-2-2200000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-4-848-84-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800000084-8-44-8-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000000-444-44422-2-2000000006-6-6600000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000000-444-44422-2-200000000-666-600000000000000000000000000000000000000000000000000000000000000

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