Finite Group Databasebeta

← Group #11788682

Character table — Group #11788682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666666666366666666612121212121212128888441212121212121212121212121212121212121212224488242424242424242444668812121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ91-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11ii−i−i1-111-1-111-1-111-1-11111-1-1-1-11-11-1i−iiiii−i−i−i−ii−i1-11-1ii−i−i1-111-1-1ii−i−ii−i
χ101-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11ii−i−i1-111-1-111-1-111-1-11111-1-1-1-1-11-11i−iiiii−i−i−i−ii−i-11-11ii−i−i-11-1-111−i−iii−ii
χ111-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11ii−i−i-11-1-111-1-11111-1-1-1-1-1-111111-11-1i−iiiii−i−i−i−i−ii1-1-11−i−iii1-1-1-111ii−i−i−ii
χ121-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11ii−i−i-11-1-111-1-11111-1-1-1-1-1-11111-11-11i−iiiii−i−i−i−i−ii-111-1−i−iii-1111-1-1−i−iiii−i
χ131-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11−i−iii1-111-1-111-1-111-1-11111-1-1-1-11-11-1−ii−i−i−i−iiiii−ii1-11-1−i−iii1-111-1-1−i−iii−ii
χ141-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11−i−iii1-111-1-111-1-111-1-11111-1-1-1-1-11-11−ii−i−i−i−iiiii−ii-11-11−i−iii-11-1-111ii−i−ii−i
χ151-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11−i−iii-11-1-111-1-11111-1-1-1-1-1-111111-11-1−ii−i−i−i−iiiiii−i1-1-11ii−i−i1-1-1-111−i−iiii−i
χ161-11-11-11111-1-111-1-1-1-1-11-1111-111-1-1-1-1111-11-1-1-11−i−iii-11-1-111-1-11111-1-1-1-1-1-11111-11-11−ii−i−i−i−iiiiii−i-111-1ii−i−i-1111-1-1ii−i−i−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1220000-1-1-1-1-1-1000000
χ202222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011-2-20000111111000000
χ212222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-2-2-2-2-21111-1-1-1-1111111112222000000000000-1-1-2-20000-1-11111000000
χ222222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000000000001122000011-1-1-1-1000000
χ23222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ24222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-122222-2-21111-2-2-2-2-1-1-1-111111111000022-1-1-1-1-1-1-1-1-2-200001111000000000000
χ25222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200001111000000000000
χ26222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000-2-211111111220000-1-1-1-1000000000000
χ272222-2-2222-2-22-2-22-2-2222222-2-2-2-222-2-222-2-222-22-2222200000000002-22-2000000000000-2-222-2-222-2-20000000000000000000000
χ282222-2-2222-2-22-2-22-2-2222222-2-2-2-222-2-222-2-222-22-2-2-2-2-200000000002-22-200000000000022-2-222-2-2220000000000000000000000
χ292222-2-222-222-2-2-22-2-2222222-2-2-2-222-2-22-222-2-22-2200000000000000-22-220000000022-2-200000000000022000000-2-20000000000
χ302222-2-222-222-2-2-22-2-2222222-2-2-2-222-2-22-222-2-22-2200000000000000-22-2200000000-2-222000000000000-2-2000000220000000000
χ312222-2-22-1-222-2-2-22-2-2-1-122-1-11111-1-111-1-22211-1-2-10000000000−i3i3−i3i31-11-1−i3−i3i3i3−i3−i3i3i322-2-2000000000000-1-100000011−i3i3−i3i3000000
χ322222-2-22-1-222-2-2-22-2-2-1-122-1-11111-1-111-1-22211-1-2-10000000000−i3i3−i3i31-11-1−i3−i3i3i3−i3−i3i3i3-2-22200000000000011000000-1-1i3−i3i3−i3000000
χ332222-2-22-1-222-2-2-22-2-2-1-122-1-11111-1-111-1-22211-1-2-10000000000i3−i3i3−i31-11-1i3i3−i3−i3i3i3−i3−i322-2-2000000000000-1-100000011i3−i3i3−i3000000
χ342222-2-22-1-222-2-2-22-2-2-1-122-1-11111-1-111-1-22211-1-2-10000000000i3−i3i3−i31-11-1i3i3−i3−i3i3i3−i3−i3-2-22200000000000011000000-1-1−i3i3−i3i3000000
χ352222-2-2-122-2-2211-11122-1-12-1-2-211-1-111-1-11122-2-1-2222200−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i30000-2-2-1-111-1-111000000−i3i3−i3i3000000000000
χ362222-2-2-122-2-2211-11122-1-12-1-2-211-1-111-1-11122-2-1-2222200i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i30000-2-2-1-111-1-111000000i3−i3i3−i3000000000000
χ372222-2-2-122-2-2211-11122-1-12-1-2-211-1-111-1-11122-2-1-2-2-2-2-200−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i300002211-1-111-1-1000000i3−i3i3−i3000000000000
χ382222-2-2-122-2-2211-11122-1-12-1-2-211-1-111-1-11122-2-1-2-2-2-2-200i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i300002211-1-111-1-1000000−i3i3−i3i3000000000000
χ392-22-22-222-2-22222-2-2-2-2-22-2222-222-2-2-2-22-2-22-2222-200000000000000-2-222000000000000000000000000000000000000002-2-2200
χ402-22-22-222-2-22222-2-2-2-2-22-2222-222-2-2-2-22-2-22-2222-200000000000000-2-22200000000000000000000000000000000000000-222-200
χ412-22-22-22-122-2-222-2-2-2112-2-1-1-11-1-11111-122-2-111-2-100002-222-2-2-1-111-1-111-1-1-1-111112-22-2000000000000-112-20000-11-1-111000000
χ422-22-22-22-122-2-222-2-2-2112-2-1-1-11-1-11111-122-2-111-2-100002-222-2-2-1-111-1-111-1-1-1-11111-22-220000000000001-1-2200001-111-1-1000000
χ432-22-22-22-122-2-222-2-2-2112-2-1-1-11-1-11111-122-2-111-2-10000-22-2-22211-1-1-1-1111111-1-1-1-12-22-2000000000000-11-220000-1111-1-1000000
χ442-22-22-22-122-2-222-2-2-2112-2-1-1-11-1-11111-122-2-111-2-10000-22-2-22211-1-1-1-1111111-1-1-1-1-22-220000000000001-12-200001-1-1-111000000
χ452-22-22-2-1222-2-2-1-1111-2-2-112-12-2-1-11111-1-1-112-2-2122i2i−2i−2i2-2-1-11122-2-2-1-111-1-1-1-1111100002i−2i−i−i−i−iiiii2i−2i0000−i−iii000000000000
χ462-22-22-2-1222-2-2-1-1111-2-2-112-12-2-1-11111-1-1-112-2-2122i2i−2i−2i-2211-1-1-2-222-1-1111111-1-1-1-100002i−2i−i−i−i−iiiii−2i2i0000ii−i−i000000000000
χ472-22-22-2-1222-2-2-1-1111-2-2-112-12-2-1-11111-1-1-112-2-212−2i−2i2i2i2-2-1-11122-2-2-1-111-1-1-1-111110000−2i2iiiii−i−i−i−i−2i2i0000ii−i−i000000000000
χ482-22-22-2-1222-2-2-1-1111-2-2-112-12-2-1-11111-1-1-112-2-212−2i−2i2i2i-2211-1-1-2-222-1-1111111-1-1-1-10000−2i2iiiii−i−i−i−i2i−2i0000−i−iii000000000000
χ492-22-2-22222-22-2-2-2-222-2-22-222-22-2-2-2-22222-222-22-2-22i2i−2i−2i00000000002-2-22000000000000−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ502-22-2-22222-22-2-2-2-222-2-22-222-22-2-2-2-22222-222-22-2-2−2i−2i2i2i00000000002-2-220000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ512-22-2-2222-22-22-2-2-222-2-22-222-22-2-2-2-2222-22-2-22-22200000000000000-222-2000000002-2-220000000000002-2000000-220000000000
χ522-22-2-2222-22-22-2-2-222-2-22-222-22-2-2-2-2222-22-2-22-22200000000000000-222-200000000-222-2000000000000-220000002-20000000000
χ532-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-10000000000−i3i3i3−i31-1-11−i3−i3i3i3i3i3−i3−i32-2-22000000000000-110000001-1−i3i3i3−i3000000
χ542-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-10000000000−i3i3i3−i31-1-11−i3−i3i3i3i3i3−i3−i3-222-20000000000001-1000000-11i3−i3−i3i3000000
χ552-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-10000000000i3−i3−i3i31-1-11i3i3−i3−i3−i3−i3i3i32-2-22000000000000-110000001-1i3−i3−i3i3000000
χ562-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-10000000000i3−i3−i3i31-1-11i3i3−i3−i3−i3−i3i3i3-222-20000000000001-1000000-11−i3i3i3−i3000000
χ572-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-22i2i−2i−2i00−i3i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i30000−2i2i−i−iiiii−i−i0000003−3−33000000000000
χ582-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-22i2i−2i−2i00i3−i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i30000−2i2i−i−iiiii−i−i000000−333−3000000000000
χ592-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-2−2i−2i2i2i00−i3i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i300002i−2iii−i−i−i−iii000000−333−3000000000000
χ602-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-2−2i−2i2i2i00i3−i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i300002i−2iii−i−i−i−iii0000003−3−33000000000000
χ614444444-2-4-4-4-444444-2-244-2-2-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000000000222200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2-2-2-244-2-24-244-2-2-2-2-2-2-2222-4-4-42-400000000000000222200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-20000-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200000000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200000000000000-1-1-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-24-4-44-4-44-4-4-2-244-2-22222-2-222-24-4-4-2-224200000000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-444-422-22244-2-24-2-4-422-2-222-22-2-2-4-4424000000000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-4422-222-2-2-2-2-2122-1-111-1-11-222-2-22-22000000−2i32i3−2i32i300001-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-4-4422-222-2-2-2-2-2122-1-111-1-11-222-2-22-220000002i3−2i32i3−2i300001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-444-422-222-2-2-2-2-2122-1-111-1-112-2-222-22-20000000000−2i32i3−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-422-222-2-2-2-2-2122-1-111-1-112-2-222-22-200000000002i3−2i32i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ7344-4-400440000004004-4-4-4-4400004-400-40000000022−2222−22000000000000000000000000000022−220022−22000000000000000000000000
χ7444-4-400440000004004-4-4-4-4400004-400-400000000−2222−22220000000000000000000000000000−222200−2222000000000000000000000000
χ7544-4-400-240000−2i32i3-2−2i32i34-422-4-200−2i32i3-22−2i32i320000000022−2222−220000000000000000000000000000−22i6−i6−22i6−i60000000000000000000000
χ7644-4-400-240000−2i32i3-2−2i32i34-422-4-200−2i32i3-22−2i32i3200000000−2222−222200000000000000000000000000002−2−i6i62−2−i6i60000000000000000000000
χ7744-4-400-2400002i3−2i3-22i3−2i34-422-4-2002i3−2i3-222i3−2i320000000022−2222−220000000000000000000000000000−22−i6i6−22−i6i60000000000000000000000
χ7844-4-400-2400002i3−2i3-22i3−2i34-422-4-2002i3−2i3-222i3−2i3200000000−2222−222200000000000000000000000000002−2i6−i62−2i6−i60000000000000000000000
χ794-44-44-44-2-4-44444-4-4-4224-4-2-2-22-2-22222-2-4-442-2-2420000000000000022-2-200000000000000000000000000000000000000000000
χ804-44-44-4-24-4-444-2-2222-4-4-224-24-4-2-22222-222-2-444-2-40000000000000022-2-200000000000000000000000000000000000000000000
χ814-44-44-4-2-244-4-4-2-222222-22-21-2211-1-1-1-11-2-22-2222-200004-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ824-44-44-4-2-244-4-4-2-222222-22-21-2211-1-1-1-11-2-22-2222-20000-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ834-44-44-4-2-2-4-444-2-222222-22-21-2211-1-1-1-1122-22-2-2-2200000000000000-1-1113-3-33-333-3000000000000000000000000000000000000
χ844-44-44-4-2-2-4-444-2-222222-22-21-2211-1-1-1-1122-22-2-2-2200000000000000-1-111-333-33-3-33000000000000000000000000000000000000
χ854-44-4-444-24-44-4-4-4-444224-4-2-22-22222-2-2-24-44-22-2-4200000000000000-222-200000000000000000000000000000000000000000000
χ864-44-4-44-24-44-44222-2-2-4-4-224-2-442222-2-2-22-22-44-4-24000000000000002-2-2200000000000000000000000000000000000000000000
χ874-44-4-44-2-24-44-4222-2-222-22-212-2-1-1-1-1111-22-2-22-222000000−2i32i32i3−2i300001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ884-44-4-44-2-24-44-4222-2-222-22-212-2-1-1-1-1111-22-2-22-2220000002i3−2i3−2i32i300001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ894-44-4-44-2-2-44-44222-2-222-22-212-2-1-1-1-11112-222-22-2-20000000000−2i32i32i3−2i3-111-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ904-44-4-44-2-2-44-44222-2-222-22-212-2-1-1-1-11112-222-22-2-200000000002i3−2i3−2i32i3-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ914-4-440044000000-400-44-44-440000-4400-400000000−2i22i22i2−2i20000000000000000000000000000−2i22i2002i2−2i2000000000000000000000000
χ924-4-440044000000-400-44-44-440000-4400-4000000002i2−2i2−2i22i200000000000000000000000000002i2−2i200−2i22i2000000000000000000000000
χ934-4-4400-240000−2i32i322i3−2i3-442-2-4-200−2i32i32-22i3−2i3200000000−2i22i22i2−2i20000000000000000000000000000i2−i26−6−i2i2−660000000000000000000000
χ944-4-4400-240000−2i32i322i3−2i3-442-2-4-200−2i32i32-22i3−2i32000000002i2−2i2−2i22i20000000000000000000000000000−i2i2−66i2−i26−60000000000000000000000
χ954-4-4400-2400002i3−2i32−2i32i3-442-2-4-2002i3−2i32-2−2i32i3200000000−2i22i22i2−2i20000000000000000000000000000i2−i2−66−i2i26−60000000000000000000000
χ964-4-4400-2400002i3−2i32−2i32i3-442-2-4-2002i3−2i32-2−2i32i32000000002i2−2i2−2i22i20000000000000000000000000000−i2i26−6i2−i2−660000000000000000000000
χ9788-8-8008-4000000800-44-8-84-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3-4−4i34i3-444442002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i3-44i3−4i3-44444200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000-8004-4-884-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i344i3−4i34-44-442002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34−4i34i34-44-44200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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