Finite Group Databasebeta

← Group #11773696

Character table — Group #11773696

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222244444444444444444444888888888888888888888888999999991818181818181818181818181818181818181818363636363636363636363636
order1222444488882334666666881212121212121212666612121212242424242424242424242424242424244444444488888888888888888888448888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111-111-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111-111-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111-111-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ8111111111111-111-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ911111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1111111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii
χ1211111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i
χ1311111111-1-1-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ1611111111-1-1-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii
χ171111-1-1-1-1ii−i−i111-1111111i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ181111-1-1-1-1ii−i−i111-1111111i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii-1-111−i−iii1-1i−i-11−ii-11−ii
χ191111-1-1-1-1ii−i−i111-1111111i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i-1-111−i−iii11-1-1-11−iii−i-11−ii1-1
χ201111-1-1-1-1ii−i−i111-1111111i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii11-1-1ii−i−i-1-111-11−ii−ii1-1i−i-11
χ211111-1-1-1-1ii−i−i-1111111111−ii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii
χ221111-1-1-1-1ii−i−i-1111111111−ii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ231111-1-1-1-1ii−i−i-1111111111−ii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i-1-111−i−iii11-1-11-1i−i−ii1-1i−i-11
χ241111-1-1-1-1ii−i−i-1111111111−ii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii11-1-1ii−i−i-1-1111-1i−ii−i-11−ii1-1
χ251111-1-1-1-1−i−iii111-1111111−ii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ261111-1-1-1-1−i−iii111-1111111−ii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i-1-111ii−i−i1-1−ii-11i−i-11i−i
χ271111-1-1-1-1−i−iii111-1111111−ii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii-1-111-11i−ii−i1-1−ii-11
χ281111-1-1-1-1−i−iii111-1111111−ii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii-1-111ii−i−i11-1-1-11i−i−ii-11i−i1-1
χ291111-1-1-1-1−i−iii-1111111111i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i
χ301111-1-1-1-1−i−iii-1111111111i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ311111-1-1-1-1−i−iii-1111111111i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii-1-1111-1−ii−ii-11i−i1-1
χ321111-1-1-1-1−i−iii-1111111111i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii-1-111ii−i−i11-1-11-1−iii−i1-1−ii-11
χ3322-2-222-2-22-22-20220-2-2-2-22200-2-2-2-222220000000022-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000000000000000000000
χ3422-2-222-2-22-22-20220-2-2-2-22200-2-2-2-222220000000022-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000000000000000000000
χ3522-2-222-2-2-22-220220-2-2-2-22200-2-2-2-2222200000000-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i0000000000000000000000000000
χ3622-2-222-2-2-22-220220-2-2-2-22200-2-2-2-2222200000000-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i0000000000000000000000000000
χ3722-2-2-2-2222i−2i−2i2i0220-2-2-2-222002222-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000000000
χ3822-2-2-2-2222i−2i−2i2i0220-2-2-2-222002222-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000000000000000
χ3922-2-2-2-222−2i2i2i−2i0220-2-2-2-222002222-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i2-2-220000000000000000000000000000
χ4022-2-2-2-222−2i2i2i−2i0220-2-2-2-222002222-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i-222-20000000000000000000000000000
χ412-22-22i−2i2i−2i0000022022-2-2-2-2002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-22i−2i2i−2i00002-22i−2i00002-22i−2i0000000000000000
χ422-22-22i−2i2i−2i0000022022-2-2-2-2002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-22i−2i2i−2i0000-22−2i2i0000-22−2i2i0000000000000000
χ432-22-22i−2i2i−2i0000022022-2-2-2-2002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22−2i2i−2i2i00002i−2i-220000−2i2i2-20000000000000000
χ442-22-22i−2i2i−2i0000022022-2-2-2-2002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22−2i2i−2i2i0000−2i2i2-200002i−2i-220000000000000000
χ452-22-2−2i2i−2i2i0000022022-2-2-2-200−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-2−2i2i−2i2i00002-2−2i2i00002-2−2i2i0000000000000000
χ462-22-2−2i2i−2i2i0000022022-2-2-2-200−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-2−2i2i−2i2i0000-222i−2i0000-222i−2i0000000000000000
χ472-22-2−2i2i−2i2i0000022022-2-2-2-200−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-222i−2i2i−2i00002i−2i2-20000−2i2i-220000000000000000
χ482-22-2−2i2i−2i2i0000022022-2-2-2-200−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-222i−2i2i−2i0000−2i2i-2200002i−2i2-20000000000000000
χ492-2-222i−2i−2i2i00000220-2-222-2-200−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i-222-2000000002i−2i2-200002-22i−2i000000000000
χ502-2-222i−2i−2i2i00000220-2-222-2-200−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i-222-200000000−2i2i-220000-22−2i2i000000000000
χ512-2-222i−2i−2i2i00000220-2-222-2-200−2i−2i2i2i2i2i−2i−2i000000000000000000000000−2i2i2i−2i2-2-22000000002-2−2i2i00002i−2i-22000000000000
χ522-2-222i−2i−2i2i00000220-2-222-2-200−2i−2i2i2i2i2i−2i−2i000000000000000000000000−2i2i2i−2i2-2-2200000000-222i−2i0000−2i2i2-2000000000000
χ532-2-22−2i2i2i−2i00000220-2-222-2-2002i2i−2i−2i−2i−2i2i2i0000000000000000000000002i−2i−2i2i2-2-22000000002-22i−2i0000−2i2i-22000000000000
χ542-2-22−2i2i2i−2i00000220-2-222-2-2002i2i−2i−2i−2i−2i2i2i0000000000000000000000002i−2i−2i2i2-2-2200000000-22−2i2i00002i−2i2-2000000000000
χ552-2-22−2i2i2i−2i00000220-2-222-2-2002i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i-222-2000000002i−2i-220000-222i−2i000000000000
χ562-2-22−2i2i2i−2i00000220-2-222-2-2002i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i-222-200000000−2i2i2-200002-2−2i2i000000000000
χ5744444444444441-241-21-21-2441-21-21-21-211-2-211-2-21-21-21-21-211-2-211-2-20000000000000000000000000000000000000000
χ584444444444444-214-21-21-2144-21-21-21-21-2-211-2-211-21-21-21-21-2-211-2-2110000000000000000000000000000000000000000
χ59444444444444-41-2-41-21-21-2-4-41-21-21-21-2-1-122-1-1221-21-21-21-2-1-122-1-1220000000000000000000000000000000000000000
χ60444444444444-4-21-4-21-21-21-4-4-21-21-21-2122-1-122-1-1-21-21-21-2122-1-122-1-10000000000000000000000000000000000000000
χ6144444444-4-4-4-441-241-21-21-2-4-41-21-21-21-211-2-211-2-2-12-12-12-12-1-122-1-1220000000000000000000000000000000000000000
χ6244444444-4-4-4-44-214-21-21-21-4-4-21-21-21-21-2-211-2-2112-12-12-12-122-1-122-1-10000000000000000000000000000000000000000
χ6344444444-4-4-4-4-41-2-41-21-21-2441-21-21-21-2-1-122-1-122-12-12-12-1211-2-211-2-20000000000000000000000000000000000000000
χ6444444444-4-4-4-4-4-21-4-21-21-2144-21-21-21-2122-1-122-1-12-12-12-12-1-2-211-2-2110000000000000000000000000000000000000000
χ654444-4-4-4-44i4i−4i−4i41-2-41-21-21-24i−4i-12-12-12-1211-2-2-1-122i−2ii−2i−i2i−i2iii−2i−2i−i−i2i2i0000000000000000000000000000000000000000
χ664444-4-4-4-44i4i−4i−4i4-21-4-21-21-214i−4i2-12-12-12-1-2-21122-1-1−2ii−2ii2i−i2i−i−2i−2iii2i2i−i−i0000000000000000000000000000000000000000
χ674444-4-4-4-44i4i−4i−4i-41-241-21-21-2−4i4i-12-12-12-12-1-12211-2-2i−2ii−2i−i2i−i2i−i−i2i2iii−2i−2i0000000000000000000000000000000000000000
χ684444-4-4-4-44i4i−4i−4i-4-214-21-21-21−4i4i2-12-12-12-122-1-1-2-211−2ii−2ii2i−i2i−i2i2i−i−i−2i−2iii0000000000000000000000000000000000000000
χ694444-4-4-4-4−4i−4i4i4i41-2-41-21-21-2−4i4i-12-12-12-1211-2-2-1-122−i2i−i2ii−2ii−2i−i−i2i2iii−2i−2i0000000000000000000000000000000000000000
χ704444-4-4-4-4−4i−4i4i4i4-21-4-21-21-21−4i4i2-12-12-12-1-2-21122-1-12i−i2i−i−2ii−2ii2i2i−i−i−2i−2iii0000000000000000000000000000000000000000
χ714444-4-4-4-4−4i−4i4i4i-41-241-21-21-24i−4i-12-12-12-12-1-12211-2-2−i2i−i2ii−2ii−2iii−2i−2i−i−i2i2i0000000000000000000000000000000000000000
χ724444-4-4-4-4−4i−4i4i4i-4-214-21-21-214i−4i2-12-12-12-122-1-1-2-2112i−i2i−i−2ii−2ii−2i−2iii2i2i−i−i0000000000000000000000000000000000000000
χ7344-4-444-4-44-44-401-20-12-121-200-12-121-21-23-3003-3001-2-121-2-123-3003-3000000000000000000000000000000000000000000
χ7444-4-444-4-44-44-401-20-12-121-200-12-121-21-2-3300-33001-2-121-2-12-3300-33000000000000000000000000000000000000000000
χ7544-4-444-4-44-44-40-2102-12-1-21002-12-1-21-21003-3003-3-212-1-212-1003-3003-30000000000000000000000000000000000000000
χ7644-4-444-4-44-44-40-2102-12-1-21002-12-1-21-2100-3300-33-212-1-212-100-3300-330000000000000000000000000000000000000000
χ7744-4-444-4-4-44-4401-20-12-121-200-12-121-21-23-3003-300-121-2-121-2-3300-33000000000000000000000000000000000000000000
χ7844-4-444-4-4-44-4401-20-12-121-200-12-121-21-2-3300-3300-121-2-121-23-3003-3000000000000000000000000000000000000000000
χ7944-4-444-4-4-44-440-2102-12-1-21002-12-1-21-21003-3003-32-1-212-1-2100-3300-330000000000000000000000000000000000000000
χ8044-4-444-4-4-44-440-2102-12-1-21002-12-1-21-2100-3300-332-1-212-1-21003-3003-30000000000000000000000000000000000000000
χ8144-4-4-4-4444i−4i−4i4i01-20-12-121-2001-21-2-12-123-300-3300i−2i−i2i−i2ii−2i3i−3i00−3i3i000000000000000000000000000000000000000000
χ8244-4-4-4-4444i−4i−4i4i01-20-12-121-2001-21-2-12-12-33003-300i−2i−i2i−i2ii−2i−3i3i003i−3i000000000000000000000000000000000000000000
χ8344-4-4-4-4444i−4i−4i4i0-2102-12-1-2100-21-212-12-1003-300-33−2ii2i−i2i−i−2ii003i−3i00−3i3i0000000000000000000000000000000000000000
χ8444-4-4-4-4444i−4i−4i4i0-2102-12-1-2100-21-212-12-100-33003-3−2ii2i−i2i−i−2ii00−3i3i003i−3i0000000000000000000000000000000000000000
χ8544-4-4-4-444−4i4i4i−4i01-20-12-121-2001-21-2-12-123-300-3300−i2ii−2ii−2i−i2i−3i3i003i−3i000000000000000000000000000000000000000000
χ8644-4-4-4-444−4i4i4i−4i01-20-12-121-2001-21-2-12-12-33003-300−i2ii−2ii−2i−i2i3i−3i00−3i3i000000000000000000000000000000000000000000
χ8744-4-4-4-444−4i4i4i−4i0-2102-12-1-2100-21-212-12-1003-300-332i−i−2ii−2ii2i−i00−3i3i003i−3i0000000000000000000000000000000000000000
χ8844-4-4-4-444−4i4i4i−4i0-2102-12-1-2100-21-212-12-100-33003-32i−i−2ii−2ii2i−i003i−3i00−3i3i0000000000000000000000000000000000000000
χ898-88-88i−8i8i−8i000002-402-4-24-24002i−4i−2i4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000000000000000
χ908-88-88i−8i8i−8i00000-420-424-24-200−4i2i4i−2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000000000
χ918-88-8−8i8i−8i8i000002-402-4-24-2400−2i4i2i−4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000000000
χ928-88-8−8i8i−8i8i00000-420-424-24-2004i−2i−4i2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000000000
χ938-8-888i−8i−8i8i000002-40-242-4-2400−2i4i2i−4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000000000000000
χ948-8-888i−8i−8i8i00000-4204-2-424-2004i−2i−4i2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000000000
χ958-8-88−8i8i8i−8i000002-40-242-4-24002i−4i−2i4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000000000
χ968-8-88−8i8i8i−8i00000-4204-2-424-200−4i2i4i−2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000000000

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