Finite Group Databasebeta

← Group #11788626

Character table — Group #11788626

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242244888888882244666666121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ91-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−iii−i−i1-1i−i1-111-1-11-1ii−i−iii−i−ii−i1-1
χ101-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−iii−i−iii-11i−i1-1-1-1111-1ii−i−i−i−iii−ii-11
χ111-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11ii−i−i−i−iii1-1−ii-1111-1-1-11−i−iiiii−i−i−ii-11
χ121-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iiiii−i−i-11−ii-11-1-111-11−i−iii−i−iiii−i1-1
χ131-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1ii−i−iii−i−i-11−ii1-1-1-1111-1−i−iiiii−i−ii−i-11
χ141-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii−i−iii1-1−ii1-111-1-11-1−i−iii−i−iii−ii1-1
χ151-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i−i−iii-11i−i-11-1-111-11ii−i−iii−i−i−ii1-1
χ161-11-11-1111-11-1-1-1-111-111-11-1-1-111111-111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−iiiii−i−i1-1i−i-1111-1-1-11ii−i−i−i−iiii−i-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ192222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000220000-1-1-1-1000000-1-1-1-10000
χ202222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000-2-20000111100000011110000
χ212222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111000022220000-2-200001111000000-1-1-1-10000
χ222222222-122222-1-1-122-122-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-20000220000-1-1-1-100000011110000
χ232222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−300002i−2i2i−2i0000000000−i3i3−i3i3000000−ii−ii0000
χ242222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100333−3−3−300333−3−3−30000−2i2i−2i2i0000000000i3−i3i3−i3000000i−ii−i0000
χ252222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−333300002i−2i2i−2i0000000000i3−i3i3−i3000000−ii−ii0000
χ262222222-1-2-2-2-22-1-1-122-122-1-1-1-1-111-2-2-2111-2111-1-1001100−3−3−333300−3−3−33330000−2i2i−2i2i0000000000−i3i3−i3i3000000i−ii−i0000
χ27222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-12222000000000022-1-10000-1-1-1-1-1-100000000
χ28222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-122-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-2-2-20000000000-2-211000011111100000000
χ29222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-21122220000000000-2-2-1-10000-1-1111100000000
χ30222222-122222-1222-1-1-1-1-122-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-111-211-21111-211-211-2-2-2-200000000002211000011-1-1-1-100000000
χ312222-2-2222-2-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-20022000000000000000000000000222200000000000000000000-2-200
χ322222-2-2222-2-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-20022000000000000000000000000-2-2-2-2000000000000000000002200
χ332222-2-222-222-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-2000000000000000022-2-2000000000000220000-2-2000000000000
χ342222-2-222-222-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-20000000000000000-2-222000000000000-2-2000022000000000000
χ352222-2-2-12-222-2-1222-1-1-111-2-2-1-1-1-221-11-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i322-2-2000000000000-1-1000011−i3i3−i3i300000000
χ362222-2-2-12-222-2-1222-1-1-111-2-2-1-1-1-221-11-1-12-1-1-1-2110011−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-222000000000000110000-1-1i3−i3i3−i300000000
χ372222-2-2-12-222-2-1222-1-1-111-2-2-1-1-1-221-11-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i322-2-2000000000000-1-1000011i3−i3i3−i300000000
χ382222-2-2-12-222-2-1222-1-1-111-2-2-1-1-1-221-11-1-12-1-1-1-2110011i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-222000000000000110000-1-1−i3i3−i3i300000000
χ392-22-22-222-22-22-2-2-222-222-22-2-2-22-2-2-2-22-2-2222222-200-22000000000000000000002-2-22000000000000000000002-2-220000
χ402-22-22-222-22-22-2-2-222-222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000000000-222-200000000000000000000-222-20000
χ412-22-22-22-12-22-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i00002-20000-1-111000000−i−iii0000
χ422-22-22-22-12-22-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i0000-22000011-1-1000000ii−i−i0000
χ432-22-22-22-12-22-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i0000-22000011-1-1000000−i−iii0000
χ442-22-22-22-12-22-2-211-12-2-12-2-1111-1-1-122-2-1-11-2111-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i00002-20000-1-111000000ii−i−i0000
χ452-22-22-22-1-22-22-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300002-2-220000000000−i3i3i3−i3000000-111-10000
χ462-22-22-22-1-22-22-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000-222-20000000000i3−i3−i3i30000001-1-110000
χ472-22-22-22-1-22-22-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300002-2-220000000000i3−i3−i3i3000000-111-10000
χ482-22-22-22-1-22-22-211-12-2-12-2-1111-111-2-2211-12-1-1-1-11001-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000-222-20000000000−i3i3i3−i30000001-1-110000
χ492-22-22-2-122-22-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii2-22-200000000002i−2i-110000-11−i−iii00000000
χ502-22-22-2-122-22-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-112i−2i-11−i−i2i−i−i2i−i−iii−2iii−2iii-22-220000000000−2i2i1-100001-1ii−i−i00000000
χ512-22-22-2-122-22-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i2-22-20000000000−2i2i-110000-11ii−i−i00000000
χ522-22-22-2-122-22-21-2-22-11-1-112-211-122-1-11-1-1-2111-2-11−2i2i-11ii−2iii−2iii−i−i2i−i−i2i−i−i-22-2200000000002i−2i1-100001-1−i−iii00000000
χ532-22-2-222222-2-2-2-2-222-22-22-22-2-222-22-2-2-2-22222-2-22002-20000000000000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-22-2-222222-2-2-2-2-222-22-22-22-2-222-22-2-2-2-22222-2-22002-2000000000000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-22-2-2222-2-222-2-2-222-22-22-22-2-22-22-22222-2-2-2-22-2200-2200000000000000002-2-220000000000002-20000-22000000000000
χ562-22-2-2222-2-222-2-2-222-22-22-22-2-22-22-22222-2-2-2-22-2200-220000000000000000-222-2000000000000-2200002-2000000000000
χ572-22-2-22-12-2-2221-2-22-11-11-1-2211-1-221-1-1-1-1-211121-1001-13−303−303−3−330−330−332-2-22000000000000-1100001-13−3−3300000000
χ582-22-2-22-12-2-2221-2-22-11-11-1-2211-1-221-1-1-1-1-211121-1001-13−303−303−3−330−330−33-222-20000000000001-10000-11−333−300000000
χ592-22-2-22-12-2-2221-2-22-11-11-1-2211-1-221-1-1-1-1-211121-1001-1−330−330−333−303−303−32-2-22000000000000-1100001-1−333−300000000
χ602-22-2-22-12-2-2221-2-22-11-11-1-2211-1-221-1-1-1-1-211121-1001-1−330−330−333−303−303−3-222-20000000000001-10000-113−3−3300000000
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
χ664444-4-44-24-4-444-2-2-244-2-4-422-2-2-2-224-44222-422-22200-2-20000000000000000000000000000000000000000000000000000
χ674444-4-44-2-444-44-2-2-244-2-4-422-2-2-22-2-44-4-2-2-24-2-222200220000000000000000000000000000000000000000000000000000
χ684444-4-4-244-4-44-2444-2-2-222-4-4-2-2-24-4-22-222-422242200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-100110003i−3i0−3i3i0003i−3i0−3i3i000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-10011000−3i3i03i−3i000−3i3i03i−3i000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-1−2i32i30i3−i30i3−i3−2i32i30i3−i30i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-12i3−2i30−i3i30−i3i32i3−2i30−i3i30−i3i3000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ7444-4-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ754-44-44-4-24-44-442-4-44-22-2-224-422-2-4-422-2224-2-2-24-22002-20000000000000000000000000000000000000000000000000000
χ764-44-44-4-2-24-44-4222-2-221-22-22-1-11-2-2-2-221122-1-121-14i−4i1-1−2i−2i−2iii−2iii2i2i2i−i−i2i−i−i000000000000000000000000000000000000
χ774-44-44-4-2-24-44-4222-2-221-22-22-1-11-2-2-2-221122-1-121-1−4i4i1-12i2i2i−i−i2i−i−i−2i−2i−2iii−2iii000000000000000000000000000000000000
χ784-44-44-4-2-2-44-44222-2-221-22-22-1-112222-2-1-1-2-211-21-100-1100−2i3i3i32i3−i3−i3002i3−i3−i3−2i3i3i3000000000000000000000000000000000000
χ794-44-44-4-2-2-44-44222-2-221-22-22-1-112222-2-1-1-2-211-21-100-11002i3−i3−i3−2i3i3i300−2i3i3i32i3−i3−i3000000000000000000000000000000000000
χ804-44-4-444-244-4-4-422-24-4-2-442-222-2-224-4-422-24-2-222-200-220000000000000000000000000000000000000000000000000000
χ814-44-4-444-2-4-444-422-24-4-2-442-222-22-2-444-2-22-422-22-2002-20000000000000000000000000000000000000000000000000000
χ824-44-4-44-2444-4-42-4-44-22-22-2-4422-24-4-222224-2-2-2-42-200-220000000000000000000000000000000000000000000000000000
χ834-44-4-44-2-244-4-4222-2-2212-22-2-1-11-22-222-1-1-2-2112-11001-10003-30-33000-3303-3000000000000000000000000000000000000
χ844-44-4-44-2-244-4-4222-2-2212-22-2-1-11-22-222-1-1-2-2112-11001-1000-3303-30003-30-33000000000000000000000000000000000000
χ854-44-4-44-2-2-4-444222-2-2212-22-2-1-112-22-2-21122-1-1-2-1100-1123−230−330−33−232303−303−3000000000000000000000000000000000000
χ864-44-4-44-2-2-4-444222-2-2212-22-2-1-112-22-2-21122-1-1-2-1100-11−232303−303−323−230−330−33000000000000000000000000000000000000
χ874-4-4400440000-4-44-4-4440000-44-400000000000000000000000000000000000000000022−22−2222000000000000000000000000
χ884-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000−222222−22000000000000000000000000
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
χ938-8-88008-40000-84-44-88-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-88-84-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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