Finite Group Databasebeta

← Group #11789681

Character table — Group #11789681

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order122222334444666666344446666666121212121212121212121212661212121212121212121212121212121212128888224466668888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ71111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111
χ911-1-11-1111-11-11-11-1-1-11i−ii−i1-11-11-1-1111-1-1-111-1-11-11-1iii−i−i−ii−i1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1i−i1-1ii−i−iii−i−i11-1-1i−i11-1-1
χ1011-1-11-1111-11-11-11-1-1-11i−ii−i1-11-11-1-1111-1-1-111-1-11-11-1iii−i−i−ii−i1-1iiii−i−i−i−iii−i−i-11−ii-1-111−ii-11−i−iii−i−iii-1-111i−i11-1-1
χ1111-1-11-1111-11-11-11-1-1-11i−ii−i1-11-11-1-1111-1-1-111-1-11-11-1iii−i−i−ii−i1-1iiii−i−i−i−i−i−iii1-1−ii11-1-1i−i-11−i−iiiii−i−i-1-111−ii-1-111
χ1211-1-11-1111-11-11-11-1-1-11i−ii−i1-11-11-1-1111-1-1-111-1-11-11-1iii−i−i−ii−i1-1iiii−i−i−i−i−i−iii-11i−i-1-111−ii1-1ii−i−i−i−iii11-1-1−ii-1-111
χ1311-1-11-1111-11-11-11-1-1-11−ii−ii1-11-11-1-1111-1-1-111-1-11-11-1−i−i−iiii−ii1-1−i−i−i−iiiiiii−i−i1-1i−i11-1-1−ii-11ii−i−i−i−iii-1-111i−i-1-111
χ1411-1-11-1111-11-11-11-1-1-11−ii−ii1-11-11-1-1111-1-1-111-1-11-11-1−i−i−iiii−ii1-1−i−i−i−iiiiiii−i−i-11−ii-1-111i−i1-1−i−iiiii−i−i11-1-1i−i-1-111
χ1511-1-11-1111-11-11-11-1-1-11−ii−ii1-11-11-1-1111-1-1-111-1-11-11-1−i−i−iiii−ii1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−ii1-1−i−iii−i−iii11-1-1−ii11-1-1
χ1611-1-11-1111-11-11-11-1-1-11−ii−ii1-11-11-1-1111-1-1-111-1-11-11-1−i−i−iiii−ii1-1−i−i−i−iiiii−i−iii-11i−i-1-111i−i-11ii−i−iii−i−i-1-111−ii11-1-1
χ1722222222-2-2-2-2222222200002222222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-2000000000000000000000000000000000000002i−2i2i−2i
χ1822222222-2-2-2-2222222200002222222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-200000000000000000000000000000000000000−2i2i−2i2i
χ192222222-1222222-1-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-1-1-1-1-100002200-1-1-1-122000000-1-1-1-10000000000
χ202222222-1222222-1-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-1-1-1-1-10000-2-2001111-2-200000011110000000000
χ212222222-1222222-1-1-12-1-2-2-2-222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-211-211-2-2-1-11111111100002200-1-1-1-1-2-200000011110000000000
χ222222222-1222222-1-1-12-1-2-2-2-222-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-211-211-2-2-1-1111111110000-2-200111122000000-1-1-1-10000000000
χ23222222-122222-1-1222-1-12222-1-122-1-1-1-122-1-12-1-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000002200000022-1-1-1-10000-1-1-1-1000000
χ24222222-122222-1-1222-1-12222-1-122-1-1-1-122-1-12-1-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2000000-2-2111100001111000000
χ25222222-122222-1-1222-1-1-2-2-2-2-1-122-1-1-1-122-1-12-1-1-1-1-12-1-11-2-21-2-211-1-11111111100000022000000-2-2-1-1-1-100001111000000
χ26222222-122222-1-1222-1-1-2-2-2-2-1-122-1-1-1-122-1-12-1-1-1-1-12-1-11-2-21-2-211-1-111111111000000-2-20000002211110000-1-1-1-1000000
χ272222-2-22222-2-2222222222-2-2-2-2-2-2222-22-22-2-2-2-2-2-222-2-222-222-2-2-22222-2-222-2-20000000000000000000000000000000000
χ282222-2-22222-2-22222222-2-222-2-2-2-2222-22-22-2-2-2-2-2-222-2-2-2-22-2-222222-2-222-2-2220000000000000000000000000000000000
χ292222-2-222-2-22222222220000-2-2-2-22222-22-2222222-2-2-2-200000000-2-2000000002222000000000000000000000000-2-20000
χ302222-2-222-2-22222222220000-2-2-2-22222-22-2222222-2-2-2-200000000-2-200000000-2-2-2-2000000000000000000000000220000
χ312222-2-22-122-2-222-1-1-12-122-2-2-2-211-1-1-1-2-112-2111112-1112-112-11-2-2-1-1-1-111-1-11100000000−i3i3−i3i300000000−i3i3−i3i30000000000
χ322222-2-22-122-2-222-1-1-12-122-2-2-2-211-1-1-1-2-112-2111112-1112-112-11-2-2-1-1-1-111-1-11100000000i3−i3i3−i300000000i3−i3i3−i30000000000
χ332222-2-22-122-2-222-1-1-12-1-2-222-2-211-1-1-1-2-112-2111112-111-21-1-21-122-1-111-1-111-1-100000000−i3i3−i3i300000000i3−i3i3−i30000000000
χ342222-2-22-122-2-222-1-1-12-1-2-222-2-211-1-1-1-2-112-2111112-111-21-1-21-122-1-111-1-111-1-100000000i3−i3i3−i300000000−i3i3−i3i30000000000
χ352222-2-2-1222-2-2-1-1222-1-122-2-211-2-2-1-1-112-2-11-21111-1211-12-2-12-211-1-1-1-111-1-1110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ362222-2-2-1222-2-2-1-1222-1-122-2-211-2-2-1-1-112-2-11-21111-1211-12-2-12-211-1-1-1-111-1-1110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ372222-2-2-1222-2-2-1-1222-1-1-2-22211-2-2-1-1-112-2-11-21111-12111-221-22-1-1-1-111-1-111-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ382222-2-2-1222-2-2-1-1222-1-1-2-22211-2-2-1-1-112-2-11-21111-12111-221-22-1-1-1-111-1-111-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ3922-2-22-222-22-222-22-2-2-2200002-22-22-2-2-2-2-2222-2-222-222-200000000-22000000000000000000000000000000000000002i−2i−2i2i
χ4022-2-22-222-22-222-22-2-2-2200002-22-22-2-2-2-2-2222-2-222-222-200000000-2200000000000000000000000000000000000000−2i2i2i−2i
χ4122-2-22-22-12-22-22-2-111-2-12i−2i2i−2i2-2-11-1112-1-1-2-21-1-11121-112i−i−i−2iii2i−2i-11−i−i−i−iiiii00002-200-1-1112i−2i000000−i−iii0000000000
χ4222-2-22-22-12-22-22-2-111-2-12i−2i2i−2i2-2-11-1112-1-1-2-21-1-11121-112i−i−i−2iii2i−2i-11−i−i−i−iiiii0000-220011-1-1−2i2i000000ii−i−i0000000000
χ4322-2-22-22-12-22-22-2-111-2-1−2i2i−2i2i2-2-11-1112-1-1-2-21-1-11121-11−2iii2i−i−i−2i2i-11iiii−i−i−i−i00002-200-1-111−2i2i000000ii−i−i0000000000
χ4422-2-22-22-12-22-22-2-111-2-1−2i2i−2i2i2-2-11-1112-1-1-2-21-1-11121-11−2iii2i−i−i−2i2i-11iiii−i−i−i−i0000-220011-1-12i−2i000000−i−iii0000000000
χ4522-2-22-2-122-22-2-112-2-21-12i−2i2i−2i-112-2-111-12211-2-1-111-1-2-11−i2i2ii−2i−2i−ii-11−i−i−i−iiiii0000002i−2i0000002-2−i−iii0000-1-111000000
χ4622-2-22-2-122-22-2-112-2-21-12i−2i2i−2i-112-2-111-12211-2-1-111-1-2-11−i2i2ii−2i−2i−ii-11−i−i−i−iiiii000000−2i2i000000-22ii−i−i000011-1-1000000
χ4722-2-22-2-122-22-2-112-2-21-1−2i2i−2i2i-112-2-111-12211-2-1-111-1-2-11i−2i−2i−i2i2ii−i-11iiii−i−i−i−i0000002i−2i000000-22−i−iii000011-1-1000000
χ4822-2-22-2-122-22-2-112-2-21-1−2i2i−2i2i-112-2-111-12211-2-1-111-1-2-11i−2i−2i−i2i2ii−i-11iiii−i−i−i−i000000−2i2i0000002-2ii−i−i0000-1-111000000
χ4922-2-2-22222-2-222-22-2-2-222i−2i−2i2i-22-222-2-2-22-2-222-2-2222-2-222i2i−2i−2i−2i2i−2i2i2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ5022-2-2-22222-2-222-22-2-2-22−2i2i2i−2i-22-222-2-2-22-2-222-2-2222-2-22−2i−2i2i2i2i−2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ5122-2-2-2222-222-22-22-2-2-220000-22-222-2-22-222-2-222-2-2-22-2200000000-22000000002i2i−2i−2i000000000000000000000000−2i2i0000
χ5222-2-2-2222-222-22-22-2-2-220000-22-222-2-22-222-2-222-2-2-22-2200000000-2200000000−2i−2i2i2i0000000000000000000000002i−2i0000
χ5322-2-2-222-12-2-222-2-111-2-12i−2i−2i2i-221-1-111-2-11-22-111-1-1211-12i−ii−2ii−i−2i2i-11−i−iiiii−i−i00000000−i3i3i3−i3000000003−3−330000000000
χ5422-2-2-222-12-2-222-2-111-2-12i−2i−2i2i-221-1-111-2-11-22-111-1-1211-12i−ii−2ii−i−2i2i-11−i−iiiii−i−i00000000i3−i3−i3i300000000−333−30000000000
χ5522-2-2-222-12-2-222-2-111-2-1−2i2i2i−2i-221-1-111-2-11-22-111-1-1211-1−2ii−i2i−ii2i−2i-11ii−i−i−i−iii00000000−i3i3i3−i300000000−333−30000000000
χ5622-2-2-222-12-2-222-2-111-2-1−2i2i2i−2i-221-1-111-2-11-22-111-1-1211-1−2ii−i2i−ii2i−2i-11ii−i−i−i−iii00000000i3−i3−i3i3000000003−3−330000000000
χ5722-2-2-22-122-2-22-112-2-21-12i−2i−2i2i1-1-22-11112-21-1211-1-1-1-21-1−i2i−2ii−2i2ii−i-11−i−iiiii−i−i00000000000000003−3−330000−i3i3i3−i3000000
χ5822-2-2-22-122-2-22-112-2-21-12i−2i−2i2i1-1-22-11112-21-1211-1-1-1-21-1−i2i−2ii−2i2ii−i-11−i−iiiii−i−i0000000000000000−333−30000i3−i3−i3i3000000
χ5922-2-2-22-122-2-22-112-2-21-1−2i2i2i−2i1-1-22-11112-21-1211-1-1-1-21-1i−2i2i−i2i−2i−ii-11ii−i−i−i−iii00000000000000003−3−330000i3−i3−i3i3000000
χ6022-2-2-22-122-2-22-112-2-21-1−2i2i2i−2i1-1-22-11112-21-1211-1-1-1-21-1i−2i2i−i2i−2i−ii-11ii−i−i−i−iii0000000000000000−333−30000−i3i3i3−i3000000
χ614444444-2-4-4-4-444-2-2-24-2000044-2-2-2-2-2-422-4-422222-42-2-20000000022000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-2-20000-2-244-2-2-22-4-422-422222-4-2-20000000022000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-214444-2-2-2-2111-2-2-2-2-2-21111-2-211-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-2111-2-2-2-2-2-21111-2-2112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-210000-2-2-2-2111222222-1-1-1-1221100000000-1-13-33-33-33-30000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-210000-2-2-2-2111222222-1-1-1-1221100000000-1-1-33-33-33-330000000000000000000000000000000000
χ674444-4-44-2-4-44444-2-2-24-20000-4-422-2-2-242-2-44-2-2-2-2-2-42220000000022000000000000000000000000000000000000000000
χ684444-4-4-24-4-444-2-2444-2-2000022-4-4-2-2-2-2-442-24-2-2-2-22-4220000000022000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2144-4-422221112-22-222-1-1-1-1-2-2-1-1-2-22-2-22221111-1-111-1-10000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21-4-44422221112-22-222-1-1-1-1-2-2-1-122-222-2-2-211-1-111-1-1110000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-2100002222111-22-22-2-2111122-1-100000000-1-13-3-333-3-330000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-2100002222111-22-22-2-2111122-1-100000000-1-1-333-3-333-30000000000000000000000000000000000
χ7344-4-44-44-2-44-444-4-222-4-200004-4-22-222-42244-222-2-2-4-2-22000000002-2000000000000000000000000000000000000000000
χ7444-4-44-4-24-44-44-224-4-42-20000-224-4-2222-4-4-2-2422-2-224-22000000002-2000000000000000000000000000000000000000000
χ7544-4-44-4-2-24-44-4-22-222214i−4i4i−4i-22-221-1-1-2-2-222211-1-1-221-1−2i−2i−2i2i2i2i−2i2i1-1iiii−i−i−i−i0000000000000000000000000000000000
χ7644-4-44-4-2-24-44-4-22-22221−4i4i−4i4i-22-221-1-1-2-2-222211-1-1-221-12i2i2i−2i−2i−2i2i−2i1-1−i−i−i−iiiii0000000000000000000000000000000000
χ7744-4-44-4-2-2-44-44-22-222210000-22-221-1-1222-2-2-2-1-1112-21-100000000-113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7844-4-44-4-2-2-44-44-22-222210000-22-221-1-1222-2-2-2-1-1112-21-100000000-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7944-4-4-444-2-444-44-4-222-4-20000-442-2-22242-24-42-2-222-4-22-2000000002-2000000000000000000000000000000000000000000
χ8044-4-4-44-24-444-4-224-4-42-200002-2-44-222-2-44-22-4-2-222242-2000000002-2000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-44-22-222214i−4i−4i4i2-22-21-1-12-222-2-2-1-111-22-11−2i−2i2i2i2i−2i2i−2i1-1ii−i−i−i−iii0000000000000000000000000000000000
χ8244-4-4-44-2-24-4-44-22-22221−4i4i4i−4i2-22-21-1-12-222-2-2-1-111-22-112i2i−2i−2i−2i2i−2i2i1-1−i−iiiii−i−i0000000000000000000000000000000000
χ8344-4-4-44-2-2-444-4-22-2222100002-22-21-1-1-22-2-22211-1-12-2-1100000000-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-4-44-2-2-444-4-22-2222100002-22-21-1-1-22-2-22211-1-12-2-1100000000-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ854-44-400440000-44-44-4-4400000000-44-400000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ864-44-400440000-44-44-4-4400000000-44-4000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ874-4-4400440000-4-4-4-444400000000-4-440000000000000000000000000000000022−22−2222000000000000000000000000000000
χ884-4-4400440000-4-4-4-444400000000-4-4400000000000000000000000000000000−222222−22000000000000000000000000000000
χ898-88-8008-40000-884-44-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-4-88-84-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-400004-44-444200000000-22-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-44-444200000000-22-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-844-48-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48000044-8-88-4-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004444-4-4200000000-2-220000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004444-4-4200000000-2-22000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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