Finite Group Databasebeta

← Group #11786695

Character table — Group #11786695

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444444441212121212121212668812121212121224242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1
χ911-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-11-11-1ii−i−i11-1-11111-1-1-1-11-1i−i1-1ii−i−iii−i−ii−ii−ii−i
χ1011-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-11-11-1−i−iii11-1-11111-1-1-1-11-1−ii1-1−i−iii−i−iii−ii−ii−ii
χ1111-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1-11-11ii−i−i-1-111-1-1-1-11111-11i−i-11ii−i−iii−i−i−ii−ii−ii
χ1211-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1-11-11−i−iii-1-111-1-1-1-11111-11−ii-11−i−iii−i−iiii−ii−ii−i
χ1311-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-11111111-11-1ii−i−i-1-111-1-1-1-111111-1−ii1-1ii−i−i−i−iiii−ii−i−ii
χ1411-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-11111111-11-1−i−iii-1-111-1-1-1-111111-1i−i1-1−i−iiiii−i−i−ii−iii−i
χ1511-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111-11-11ii−i−i11-1-11111-1-1-1-1-11−ii-11ii−i−i−i−iii−ii−iii−i
χ1611-1-1-11111-11-1-1-1-111-1-1-11111-1-1-1-1111-11-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111-11-11−i−iii11-1-11111-1-1-1-1-11i−i-11−i−iiiii−i−ii−ii−i−ii
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-22-20000000000000000002-22-20000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-22-22000000000000000000-22-220000000000
χ192222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-1-1-100-1-100000000000000
χ202222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111111001100000000000000
χ212222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-211111111-1-100-1-100000000000000
χ222222222-122222-1-12-12-1-1-1-1-122-1-1-1-1-122-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002222-1-1-1-1-1-1-1-111001100000000000000
χ23222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000002200-1-1-1-1-1-1-1-1000000
χ24222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-20011111111000000
χ25222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000222200000000000000-2-200-1-1-1-11111000000
χ26222222-122222-122-12-12222-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000000022001111-1-1-1-1000000
χ27222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-1001100003−333−3−33−333−3−300002-22-2000000000000000000-11-113−33−3000000
χ28222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-1001100003−333−3−33−333−3−30000-22-220000000000000000001-11-1−33−33000000
χ29222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-100110000−33−3−333−33−3−33300002-22-2000000000000000000-11-11−33−33000000
χ30222222-12-2-2-2-2-122-12-1-2-2-2-2-1-1-12-1-1-1211-2-2111111-1-100110000−33−3−333−33−3−3330000-22-220000000000000000001-11-13−33−3000000
χ312222-2-2222-2-22222222-2-2-2-22-2-2-2222-22-222-2-2-2-2-22-2-20022000000000000000022-2-200000000000000002200-2-200000000000000
χ322222-2-2222-2-22222222-2-2-2-22-2-2-2222-22-222-2-2-2-2-22-2-200220000000000000000-2-2220000000000000000-2-2002200000000000000
χ332222-2-222-222-222222222222-2-2-2222-2-22-2-222222-2-2-200-2-20000000000000000000000000000000000000000000000000022-2-200
χ342222-2-222-222-222222222222-2-2-2222-2-22-2-222222-2-2-200-2-200000000000000000000000000000000000000000000000000-2-22200
χ352222-2-22-12-2-222-1-12-121111-1-2-21-1-1-112-2-1-111-21121100-1-13−33−3003−33−3003−33−322-2-20000000033−3−333−3−3-1-1001100000000000000
χ362222-2-22-12-2-222-1-12-121111-1-2-21-1-1-112-2-1-111-21121100-1-13−33−3003−33−3003−33−3-2-22200000000−3−333−3−3331100-1-100000000000000
χ372222-2-22-12-2-222-1-12-121111-1-2-21-1-1-112-2-1-111-21121100-1-1−33−3300−33−3300−33−3322-2-200000000−3−333−3−333-1-1001100000000000000
χ382222-2-22-12-2-222-1-12-121111-1-2-21-1-1-112-2-1-111-21121100-1-1−33−3300−33−3300−33−33-2-2220000000033−3−333−3−31100-1-100000000000000
χ3922-2-22-22222-2-2-2-2-222-222-2-22-222-2-22-2222-222-2-2-2-2-22002-200000000000000002-2-2200000000000000002-200-2200000000000000
χ4022-2-22-22222-2-2-2-2-222-222-2-22-222-2-22-2222-222-2-2-2-2-22002-20000000000000000-222-20000000000000000-22002-200000000000000
χ4122-2-22-222-2-222-2-2-222-2-2-2222-222-2-22-2-2-2-22-2-22222-2200-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ4222-2-22-222-2-222-2-2-222-2-2-2222-222-2-22-2-2-2-22-2-22222-2200-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4322-2-22-22-122-2-2-2112-1-2-1-111-1-22-111-1122-11-1-1-211-21-100-113−3−33003−33−300−33−332-2-220000000033−3−3−3−333-11001-100000000000000
χ4422-2-22-22-122-2-2-2112-1-2-1-111-1-22-111-1122-11-1-1-211-21-100-113−3−33003−33−300−33−33-222-200000000−3−33333−3−31-100-1100000000000000
χ4522-2-22-22-122-2-2-2112-1-2-1-111-1-22-111-1122-11-1-1-211-21-100-11−333−300−33−33003−33−32-2-2200000000−3−33333−3−3-11001-100000000000000
χ4622-2-22-22-122-2-2-2112-1-2-1-111-1-22-111-1122-11-1-1-211-21-100-11−333−300−33−33003−33−3-222-20000000033−3−3−3−3331-100-1100000000000000
χ4722-2-2-2222-22-22-2-2-222-222-2-222-2-2-2-222-22-2222-2-2-222-200-22000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ4822-2-2-2222-22-22-2-2-222-222-2-222-2-2-2-222-22-2222-2-2-222-200-2200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ4922-2-2-222-12-22-2-2112-1-211-1-1-12-2111-1-12-2-11112-1-1-2-112-2-11-1-11122-1-1-1-1-2-211112-22-2000022-2-2-1-1-1-11111-1100-1100000000000000
χ5022-2-2-222-12-22-2-2112-1-211-1-1-12-2111-1-12-2-11112-1-1-2-112-2-11-1-11122-1-1-1-1-2-21111-22-220000-2-2221111-1-1-1-11-1001-100000000000000
χ5122-2-2-222-12-22-2-2112-1-211-1-1-12-2111-1-12-2-11112-1-1-2-11-22-1111-1-1-2-2111122-1-1-1-12-22-20000-2-2221111-1-1-1-1-1100-1100000000000000
χ5222-2-2-222-12-22-2-2112-1-211-1-1-12-2111-1-12-2-11112-1-1-2-11-22-1111-1-1-2-2111122-1-1-1-1-22-22000022-2-2-1-1-1-111111-1001-100000000000000
χ5322-2-2-22-122-22-21-2-2-121-2-222-1-11-211-12-112-211-1-1-11-112-2-1122-2-2-1-1-1-1-1-111111100002i2i−2i−2i000000000000002i−2i00−i−iii−i−iii000000
χ5422-2-2-22-122-22-21-2-2-121-2-222-1-11-211-12-112-211-1-1-11-112-2-1122-2-2-1-1-1-1-1-11111110000−2i−2i2i2i00000000000000−2i2i00ii−i−iii−i−i000000
χ5522-2-2-22-122-22-21-2-2-121-2-222-1-11-211-12-112-211-1-1-11-11-22-11-2-222111111-1-1-1-1-1-100002i2i−2i−2i00000000000000−2i2i00−i−iiiii−i−i000000
χ5622-2-2-22-122-22-21-2-2-121-2-222-1-11-211-12-112-211-1-1-11-11-22-11-2-222111111-1-1-1-1-1-10000−2i−2i2i2i000000000000002i−2i00ii−i−i−i−iii000000
χ5722-2-2-22-12-22-221-2-2-12122-2-2-1-11-211-121-1-22-1-1111-1-11001-100003−333−3−3−33−3−33300002i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ5822-2-2-22-12-22-221-2-2-12122-2-2-1-11-211-121-1-22-1-1111-1-11001-100003−333−3−3−33−3−3330000−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
χ5922-2-2-22-12-22-221-2-2-12122-2-2-1-11-211-121-1-22-1-1111-1-11001-10000−33−3−3333−333−3−300002i−2i−2i2i000000000000000000−iii−i−i3i3i3−i3000000
χ6022-2-2-22-12-22-221-2-2-12122-2-2-1-11-211-121-1-22-1-1111-1-11001-10000−33−3−3333−333−3−30000−2i2i2i−2i000000000000000000i−i−iii3−i3−i3i3000000
χ614444444-2-4-4-4-44-2-24-242222-244-2-2-2-2-2-4-42222-422-4-2-2002200000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-1000023−23−3−33323−23−3−3330000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-22222-1-12-1-121100-1-10000−232333−3−3−232333−3−30000000000000000000000000000000000000000
χ664444-4-44-2-444-44-2-24-24-2-2-2-2-2-4-42-2-2-22-4422-2-24-2-2-422002200000000000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-244-24-2-4-4-4-4-222-4-2-2-2-4-224422222-22200-2-200000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-244-24-24444-222-4-2-2-2-42-2-4-4-2-2-2-2-2222002200000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2222212221112-22-2-2-1-12-1-1-2-1-1001123−2323−2300−33−3300−33−330000000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2222212221112-22-2-2-1-12-1-1-2-1-10011−2323−2323003−33−3003−33−30000000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122211122-22211-2112-1-100-1-10000003-3-33003-3-330000000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-2122211122-22211-2112-1-100-1-1000000-333-300-333-30000000000000000000000000000000000000000
χ7344-4-44-44-2-4-444-4224-2-422-2-2-2-44-222-22-4-42-2224-2-242-2002-200000000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-42-4-4-24244-4-4-22-2422-2-4-2-24-4-2-222222-200-2200000000000000000000000000000000000000000000000000000000
χ7544-4-44-4-24-4-4442-4-4-242-4-444-22-2422-2-422-4422-2-2-2-22-2002-200000000000000000000000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4222-2-22-2-22212-2-2-1-112-2-2-22112-1-12-11001-123−23−232300−33−33003−33−30000000000000000000000000000000000000000
χ7744-4-44-4-2-244-4-4222-2-22-2-22212-2-2-1-112-2-2-22112-1-12-11001-1−232323−23003−33−300−33−330000000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444222-2-2222-2-212-2-2-1-112222-2-1-1-211-2-1100-110000003-3-3300-333-30000000000000000000000000000000000000000
χ7944-4-44-4-2-2-4-444222-2-2222-2-212-2-2-1-112222-2-1-1-211-2-1100-11000000-333-3003-3-330000000000000000000000000000000000000000
χ8044-4-4-444-2-44-44-4224-2-4-2-222-24-4222-2-2-442-2-2-2-4224-22002-200000000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4222-2-2222-2-21-222-1-11-2-22-22-1-1-21121-14-41-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4222-2-2222-2-21-222-1-11-2-22-22-1-1-21121-1-441-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44222-2-22-2-2221-222-1-11-22-22-2112-1-1-21-100-11000023−23−3−333−232333−3−30000000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44222-2-22-2-2221-222-1-11-22-22-2112-1-1-21-100-110000−232333−3−323−23−3−3330000000000000000000000000000000000000000
χ854-44-40044000044-4-4-4-4000040004-4-4000000000000000000000000000000000000000002-22-22-22-22-22-200000000000000000000
χ864-44-40044000044-4-4-4-4000040004-4-400000000000000000000000000000000000000000-22-22-22-22-22-2200000000000000000000
χ874-44-4004-200004-22-42-423−2323−23-2000-2220000023−23023−2300000000000000000000000000000002-22-2−1−31+3−1+31−3−1−31+3−1+31−300000000000000000000
χ884-44-4004-200004-22-42-423−2323−23-2000-2220000023−23023−230000000000000000000000000000000-22-221+3−1−31−3−1+31+3−1−31−3−1+300000000000000000000
χ894-44-4004-200004-22-42-4−2323−2323-2000-22200000−23230−232300000000000000000000000000000002-22-2−1+31−3−1−31+3−1+31−3−1−31+300000000000000000000
χ904-44-4004-200004-22-42-4−2323−2323-2000-22200000−23230−23230000000000000000000000000000000-22-221−3−1+31+3−1−31−3−1+31+3−1−300000000000000000000
χ914-4-4400440000-4-44-4-4400004000-44-4000000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-4-44-4-4400004000-44-400000000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-44004-20000-42-2-42423−23−2323-20002-220000023−230−232300000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ944-4-44004-20000-42-2-42423−23−2323-20002-220000023−230−23230000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ954-4-44004-20000-42-2-424−232323−23-20002-2200000−2323023−2300000000000000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000
χ964-4-44004-20000-42-2-424−232323−23-20002-2200000−2323023−230000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ978-88-800-480000-48-84-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4-4444443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4-44444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-884-8-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044-444-443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044-444-4−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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