Finite Group Databasebeta

← Group #11787810

Character table — Group #11787810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424222244444466668812121212121212122424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ911-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-111-1-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-1111-1-1i−i−i−iii-1-111ii−i−i−i−iii-1-111
χ1111-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1-1-111−iiii−i−i11-1-1−i−iii−i−iii-1-111
χ1211-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11-1-111−ii−i−iii-1-111−i−iiiii−i−i11-1-1
χ1311-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-1111-1-1−iiii−i−i-1-111−i−iiiii−i−i-1-111
χ1411-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-111-1-1−ii−i−iii11-1-1−i−iii−i−iii11-1-1
χ1511-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11-1-111i−iii−i−i-1-111ii−i−i−i−iii11-1-1
χ1611-1-1-111111-1-1-1-11-1-1111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1-1-111i−i−i−iii11-1-1ii−i−iii−i−i-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-20000002-22-20000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-22000000-22-220000000000000000000000
χ192222222-12222-1-1-1222-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000-1-1-1-12200000000-1-1-1-100000000
χ202222222-12222-1-1-1222-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000001111-2-200000000111100000000
χ212222222-12222-1-1-1222-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111112222000000-1-1-1-1-2-200000000111100000000
χ222222222-12222-1-1-1222-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-200000011112200000000-1-1-1-100000000
χ232222222-1-2-2-2-2-1-1-1222-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−32-22-2000000-11-1100000000003−33−300000000
χ242222222-1-2-2-2-2-1-1-1222-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−3-22-220000001-11-10000000000−33−3300000000
χ252222222-1-2-2-2-2-1-1-1222-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−33332-22-2000000-11-110000000000−33−3300000000
χ262222222-1-2-2-2-2-1-1-1222-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−3333-22-220000001-11-100000000003−33−300000000
χ27222222-122222222-1-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-10000222222000000-1-1-1-1-1-1-1-1000000000000
χ28222222-122222222-1-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-10000-2-2-2-2-2-200000011111111000000000000
χ29222222-122222222-1-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-21100002222-2-2000000-1-1-1-11111000000000000
χ30222222-122222222-1-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-2110000-2-2-2-2220000001111-1-1-1-1000000000000
χ312222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-2000000000000000000002-22-2000000002-22-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-200000000000000000000-22-2200000000-22-220000000000000000
χ332222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002-22-20000
χ342222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-22-220000
χ352222-2-2-122-22-2222-1-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300002-22-200000000-11-11−i3i3−i3i3000000000000
χ362222-2-2-122-22-2222-1-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000-22-22000000001-11-1i3−i3i3−i3000000000000
χ372222-2-2-122-22-2222-1-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300002-22-200000000-11-11i3−i3i3−i3000000000000
χ382222-2-2-122-22-2222-1-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000-22-22000000001-11-1−i3i3−i3i3000000000000
χ3922-2-22-2222-2-22-2-22-2-222-22-22-2-222-22-2222-2-2-2-22-2200-22000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000000000
χ4022-2-22-2222-2-22-2-22-2-222-22-22-2-222-22-2222-2-2-2-22-2200-2200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000000000
χ4122-2-22-222-222-2-2-22-2-222-22-22-2-22-22-22-2-2-22222-2-22002-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ4222-2-22-222-222-2-2-22-2-222-22-22-2-22-22-22-2-2-22222-2-22002-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ4322-2-22-2-122-2-22-2-2211-1-11-1-2211-12-2-11-1-1-1-211121-1001-13−303−303−3−330−330−3300002i−2i−2i2i00000000−iii−i−i3i3i3−i3000000000000
χ4422-2-22-2-122-2-22-2-2211-1-11-1-2211-12-2-11-1-1-1-211121-1001-13−303−303−3−330−330−330000−2i2i2i−2i00000000i−i−iii3−i3−i3i3000000000000
χ4522-2-22-2-122-2-22-2-2211-1-11-1-2211-12-2-11-1-1-1-211121-1001-1−330−330−333−303−303−300002i−2i−2i2i00000000−iii−ii3−i3−i3i3000000000000
χ4622-2-22-2-122-2-22-2-2211-1-11-1-2211-12-2-11-1-1-1-211121-1001-1−330−330−333−303−303−30000−2i2i2i−2i00000000i−i−ii−i3i3i3−i3000000000000
χ4722-2-2-2222-2-222-2-22-2-2222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000002-2-220000002-2-220000000000000000000000
χ4822-2-2-2222-2-222-2-22-2-2222-22-2-2-22-2-2-2-22-2-2222222-200-220000000000000000-222-2000000-222-20000000000000000000000
χ4922-2-2-222-122-2-211-1-2-22-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-2000000-1-1112i−2i00000000−i−iii00000000
χ5022-2-2-222-122-2-211-1-2-22-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-22200000011-1-1−2i2i00000000ii−i−i00000000
χ5122-2-2-222-122-2-211-1-2-22-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-2000000-1-111−2i2i00000000ii−i−i00000000
χ5222-2-2-222-122-2-211-1-2-22-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-22200000011-1-12i−2i00000000−i−iii00000000
χ5322-2-2-222-1-2-22211-1-2-22-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i32-2-22000000-111-10000000000−i3i3i3−i300000000
χ5422-2-2-222-1-2-22211-1-2-22-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3-222-20000001-1-110000000000i3−i3−i3i300000000
χ5522-2-2-222-1-2-22211-1-2-22-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i32-2-22000000-111-10000000000i3−i3−i3i300000000
χ5622-2-2-222-1-2-22211-1-2-22-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3-222-20000001-1-110000000000−i3i3i3−i300000000
χ5722-2-2-22-1222-2-2-2-2211-1-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii00002i2i−2i−2i2-2000000−i−iii-1-111000000000000
χ5822-2-2-22-1222-2-2-2-2211-1-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii0000−2i−2i2i2i-22000000ii−i−i11-1-1000000000000
χ5922-2-2-22-1222-2-2-2-2211-1-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i00002i2i−2i−2i-22000000−i−iii11-1-1000000000000
χ6022-2-2-22-1222-2-2-2-2211-1-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i0000−2i−2i2i2i2-2000000ii−i−i-1-111000000000000
χ61444444-24-4-4-4-4444-2-2-2-2-2-244-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-211-211-2-2-211-211000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-411222-1-12-1-1222-1-12-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-10023−3−3−23330023−3−3−2333000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-100−233323−3−300−233323−3−3000000000000000000000000000000000000
χ664444-4-44-24-44-4-2-2-2444-2-4-422-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000000000
χ674444-4-44-2-44-44-2-2-2444-2-4-422-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44444-2-2-2-222-4-4-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-1−2i32i30i3−i30i3−i3−2i32i30i3−i30i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-12i3−2i30−i3i30−i3i32i3−2i30−i3i30−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-100110003i−3i0−3i3i0003i−3i0−3i3i000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-10011000−3i3i03i−3i000−3i3i03i−3i000000000000000000000000000000000000
χ7344-4-44-44-24-4-4422-2-4-44-2-442-222-2-224-44-2-22-422-22-2002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-44-2-444-422-2-4-44-2-442-222-22-2-44-422-24-2-222-200-220000000000000000000000000000000000000000000000000000
χ7544-4-44-4-24-444-4-4-4422-2-22-2-4422-2-442-22224-2-2-2-42-200-220000000000000000000000000000000000000000000000000000
χ7644-4-44-4-2-24-4-4422-222-212-22-2-1-11-22-22-21122-1-1-2-1100-1123−230−330−33−232303−303−3000000000000000000000000000000000000
χ7744-4-44-4-2-24-4-4422-222-212-22-2-1-11-22-22-21122-1-1-2-1100-11−232303−303−323−230−330−33000000000000000000000000000000000000
χ7844-4-44-4-2-2-444-422-222-212-22-2-1-112-22-22-1-1-2-2112-11001-10003-30-33000-3303-3000000000000000000000000000000000000
χ7944-4-44-4-2-2-444-422-222-212-22-2-1-112-22-22-1-1-2-2112-11001-1000-3303-30003-30-33000000000000000000000000000000000000
χ8044-4-4-44-24-4-444-4-4422-2-2-224-422-2-4-422-2224-2-2-24-22002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-244-4-422-222-21-22-22-1-11-2-2-2-221122-1-121-14i−4i1-1−2i−2i−2iii−2iii2i2i2i−i−i2i−i−i000000000000000000000000000000000000
χ8244-4-4-44-2-244-4-422-222-21-22-22-1-11-2-2-2-221122-1-121-1−4i4i1-12i2i2i−i−i2i−i−i−2i−2i−2iii−2iii000000000000000000000000000000000000
χ8344-4-4-44-2-2-4-44422-222-21-22-22-1-112222-2-1-1-2-211-21-100-1100−2i3i3i32i3−i3−i3002i3−i3−i3−2i3i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-4-44422-222-21-22-22-1-112222-2-1-1-2-211-21-100-11002i3−i3−i3−2i3i3i300−2i3i3i32i3−i3−i3000000000000000000000000000000000000
χ854-44-4004400004-4-44-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ864-44-4004400004-4-44-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ874-4-4400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ884-4-4400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ898-88-8008-40000-4448-8-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800008-8-8-444-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-444-444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-444-444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400004-44-88-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-88-84-44-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-4420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-4420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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