Finite Group Databasebeta

← Group #11784875

Character table — Group #11784875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242222224444666666881212121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1
χ91-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−i1-111-1-1i−i1-1ii−i−iii−i−i1-11-1ii−i−i
χ101-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11−ii-1111-1-1i−i-11−i−iiiii−i−i-11-11−i−iii
χ111-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-11-1i−i1-1-1-111−ii1-1ii−i−i−i−iii-11-11−i−iii
χ121-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11-11−ii-11-1-111−ii-11−i−iii−i−iii1-11-1ii−i−i
χ131-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii1-111-1-1−ii1-1−i−iii−i−iii1-11-1−i−iii
χ141-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11i−i-1111-1-1−ii-11ii−i−i−i−iii-11-11ii−i−i
χ151-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-11-1−ii1-1-1-111i−i1-1−i−iiiii−i−i-11-11ii−i−i
χ161-1-111-11111-1-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11-11i−i-11-1-111i−i-11ii−i−iii−i−i1-11-1−i−iii
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-2000000002-22-200000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-2200000000-22-2200000000000000000000
χ192222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000000-1-1-1-122000000-1-1-1-100000000
χ202222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000001111-2-2000000111100000000
χ212222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111222200000000-1-1-1-1-2-2000000111100000000
χ222222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-200000000111122000000-1-1-1-100000000
χ232222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−32-22-200000000-11-11000000003−33−300000000
χ242222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−3-22-22000000001-11-100000000−33−3300000000
χ252222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−33332-22-200000000-11-1100000000−33−3300000000
χ262222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−3333-22-22000000001-11-1000000003−33−300000000
χ27222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-10000222222-1-1000000-1-1-1-1-1-1000000000000
χ28222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-10000-2-2-2-2-2-211000000111111000000000000
χ29222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-21100002222-2-2-1-1000000-1-11111000000000000
χ30222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-2110000-2-2-2-2221100000011-1-1-1-1000000000000
χ312222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000000022-2-20022000000-2-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-200000000000000000000-2-22200-2-2000000220000000000000000
χ332222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000000022-2-20000
χ342222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-2-2220000
χ352222-2-2-122-22-2-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000022-2-200-1-100000011−i3i3−i3i3000000000000
χ362222-2-2-122-22-2-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000-2-2220011000000-1-1i3−i3i3−i3000000000000
χ372222-2-2-122-22-2-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000022-2-200-1-100000011i3−i3i3−i3000000000000
χ382222-2-2-122-22-2-1222-1-1-111-2-2-1-1-12-2-111-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000-2-2220011000000-1-1−i3i3−i3i3000000000000
χ392-2-222-222-2-222-2-2-222-222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000002-2-22000000002-2-2200000000000000000000
χ402-2-222-222-2-222-2-2-222-222-22-2-2-22-2-2-2-22-2-2222222-200-220000000000000000-222-200000000-222-200000000000000000000
χ412-2-222-22-122-2-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-200000000-1-1112i−2i000000−i−iii00000000
χ422-2-222-22-122-2-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-2220000000011-1-1−2i2i000000ii−i−i00000000
χ432-2-222-22-122-2-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-200000000-1-111−2i2i000000ii−i−i00000000
χ442-2-222-22-122-2-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-2220000000011-1-12i−2i000000−i−iii00000000
χ452-2-222-22-1-2-222-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i32-2-2200000000-111-100000000−i3i3i3−i300000000
χ462-2-222-22-1-2-222-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3-222-2000000001-1-1100000000i3−i3−i3i300000000
χ472-2-222-22-1-2-222-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i32-2-2200000000-111-100000000i3−i3−i3i300000000
χ482-2-222-22-1-2-222-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3-222-2000000001-1-1100000000−i3i3i3−i300000000
χ492-2-222-2-1222-2-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii00002-22-22i−2i-11000000-11−i−iii000000000000
χ502-2-222-2-1222-2-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii0000-22-22−2i2i1-10000001-1ii−i−i000000000000
χ512-2-222-2-1222-2-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i00002-22-2−2i2i-11000000-11ii−i−i000000000000
χ522-2-222-2-1222-2-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i0000-22-222i−2i1-10000001-1−i−iii000000000000
χ532-2-22-22222-2-22-2-2-222-22-22-22-2-222-22-2222-2-2-2-22-2200-22000000000000000000002-2-22002-2000000-220000000000000000
χ542-2-22-22222-2-22-2-2-222-22-22-22-2-222-22-2222-2-2-2-22-2200-2200000000000000000000-222-200-220000002-20000000000000000
χ552-2-22-2222-222-2-2-2-222-22-22-22-2-22-22-22-2-2-22222-2-22002-2000000000000000000000000000000000000000000002-2-220000
χ562-2-22-2222-222-2-2-2-222-22-22-22-2-22-22-22-2-2-22222-2-22002-200000000000000000000000000000000000000000000-222-20000
χ572-2-22-22-122-2-221-2-22-11-11-1-2211-12-2-11-1-1-1-211121-1001-13−303−303−3−330−330−3300002-2-2200-110000001-13−3−33000000000000
χ582-2-22-22-122-2-221-2-22-11-11-1-2211-12-2-11-1-1-1-211121-1001-13−303−303−3−330−330−330000-222-2001-1000000-11−333−3000000000000
χ592-2-22-22-122-2-221-2-22-11-11-1-2211-12-2-11-1-1-1-211121-1001-1−330−330−333−303−303−300002-2-2200-110000001-1−333−3000000000000
χ602-2-22-22-122-2-221-2-22-11-11-1-2211-12-2-11-1-1-1-211121-1001-1−330−330−333−303−303−30000-222-2001-1000000-113−3−33000000000000
χ61444444-24-4-4-4-4-2444-2-2-2-2-244-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000000000
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
χ664444-4-44-24-44-44-2-2-244-2-4-422-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000000000
χ674444-4-44-2-44-444-2-2-244-2-4-422-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2444-2-2-222-4-4-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000000000
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
χ7344-4-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ7444-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ754-44-400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000000000000000000000000000002-2-22
χ764-44-400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000000000000000000000000000-222-2
χ774-4-444-4-24-4-4442-4-44-22-2-224-422-2-4-422-2224-2-2-24-22002-20000000000000000000000000000000000000000000000000000
χ784-4-444-4-2-244-4-4222-2-221-22-22-1-11-2-2-2-221122-1-121-14i−4i1-1−2i−2i−2iii−2iii2i2i2i−i−i2i−i−i000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4222-2-221-22-22-1-11-2-2-2-221122-1-121-1−4i4i1-12i2i2i−i−i2i−i−i−2i−2i−2iii−2iii000000000000000000000000000000000000
χ804-4-444-4-2-2-4-444222-2-221-22-22-1-112222-2-1-1-2-211-21-100-1100−2i3i3i32i3−i3−i3002i3−i3−i3−2i3i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-4-444222-2-221-22-22-1-112222-2-1-1-2-211-21-100-11002i3−i3−i3−2i3i3i300−2i3i3i32i3−i3−i3000000000000000000000000000000000000
χ824-4-44-444-24-4-44-422-24-4-2-442-222-2-224-44-2-22-422-22-2002-20000000000000000000000000000000000000000000000000000
χ834-4-44-444-2-444-4-422-24-4-2-442-222-22-2-44-422-24-2-222-200-220000000000000000000000000000000000000000000000000000
χ844-4-44-44-24-444-42-4-44-22-22-2-4422-2-442-22224-2-2-2-42-200-220000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-44222-2-2212-22-2-1-11-22-22-21122-1-1-2-1100-1123−230−330−33−232303−303−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-44222-2-2212-22-2-1-11-22-22-21122-1-1-2-1100-11−232303−303−323−230−330−33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-4222-2-2212-22-2-1-112-22-22-1-1-2-2112-11001-10003-30-33000-3303-3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-4222-2-2212-22-2-1-112-22-22-1-1-2-2112-11001-1000-3303-30003-30-33000000000000000000000000000000000000
χ8988-8-8008-400008-444-8-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-8-844-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-44444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-44444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-84-44-88-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-88-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044-444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044-444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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