Finite Group Databasebeta

← Group #11790498

Character table — Group #11790498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663444466666661212121212121212121212126612121212121212121212121212121212121288884444888812121212121212122424242424242424888888
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911-1-11-111-111-111-1-1-1-11i−ii−i11-1-11-1-111-1-1-1-111-1-1111-1ii−i−iii−i−i1-1iiii−i−i−i−i11-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-11-1ii−i−i
χ1011-1-11-111-111-111-1-1-1-11i−ii−i11-1-11-1-111-1-1-1-111-1-1111-1ii−i−iii−i−i1-1iiii−i−i−i−i11-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-1111-1ii−i−i
χ1111-1-11-111-111-111-1-1-1-11i−ii−i11-1-11-1-111-1-1-1-111-1-1111-1ii−i−iii−i−i1-1iiii−i−i−i−i-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11−i−iii
χ1211-1-11-111-111-111-1-1-1-11i−ii−i11-1-11-1-111-1-1-1-111-1-1111-1ii−i−iii−i−i1-1iiii−i−i−i−i-1-111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11−i−iii
χ1311-1-11-111-111-111-1-1-1-11−ii−ii11-1-11-1-111-1-1-1-111-1-1111-1−i−iii−i−iii1-1−i−i−i−iiiii11-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-1111-1−i−iii
χ1411-1-11-111-111-111-1-1-1-11−ii−ii11-1-11-1-111-1-1-1-111-1-1111-1−i−iii−i−iii1-1−i−i−i−iiiii11-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-11-1−i−iii
χ1511-1-11-111-111-111-1-1-1-11−ii−ii11-1-11-1-111-1-1-1-111-1-1111-1−i−iii−i−iii1-1−i−i−i−iiiii-1-111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11ii−i−i
χ1611-1-11-111-111-111-1-1-1-11−ii−ii11-1-11-1-111-1-1-1-111-1-1111-1−i−iii−i−iii1-1−i−i−i−iiiii-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11ii−i−i
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
χ192222222-122222-12-12-1-122222-12-1-1-1-12-122-1-1-1-1-1-12-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ202222222-122222-12-12-1-122222-12-1-1-1-12-122-1-1-1-1-1-12-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ212222222-122222-12-12-1-1-2-2-2-22-12-1-1-1-12-122-1-1-1-1-1-12-1-1-1-21-21-21-21-1-1111111110000002200-2-20000-1-1-1-100001111000000
χ222222222-122222-12-12-1-1-2-2-2-22-12-1-1-1-12-122-1-1-1-1-1-12-1-1-1-21-21-21-21-1-111111111000000-2-20022000011110000-1-1-1-1000000
χ23222222-122222-12-12-12-12222-12-12-1-1-1-12-1-122-1-1-1-1-12-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ24222222-122222-12-12-12-12222-12-12-1-1-1-12-1-122-1-1-1-1-12-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ25222222-122222-12-12-12-1-2-2-2-2-12-12-1-1-1-12-1-122-1-1-1-1-12-1-11-21-21-21-2-1-11111111100002200-2-200-1-1-1-1000011110000000000
χ26222222-122222-12-12-12-1-2-2-2-2-12-12-1-1-1-12-1-122-1-1-1-1-12-1-11-21-21-21-2-1-1111111110000-2-200220011110000-1-1-1-10000000000
χ272222-2-22222-2-2222222222-2-2-2-2-2-2222-2-22-22-2-2-2-2-222-2-22222-2-2-2-22222-2-222-2-20000000000000000000000000000000000
χ282222-2-22222-2-22222222-2-222-2-2-2-2222-2-22-22-2-2-2-2-222-2-2-2-2-2-2222222-2-222-2-2220000000000000000000000000000000000
χ292222-2-222-2-22222222220000-2-2-2-222222-22-222222-2-2-2-200000000-2-2000000002222000000000000000000000000-2-20000
χ302222-2-222-2-22222222220000-2-2-2-222222-22-222222-2-2-2-200000000-2-200000000-2-2-2-2000000000000000000000000220000
χ312222-2-22-122-2-22-12-12-1-122-2-2-21-21-1-1-1-212-2-1111112-1112-12-1-21-21-1-1-1-111-1-1110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ322222-2-22-122-2-22-12-12-1-122-2-2-21-21-1-1-1-212-2-1111112-1112-12-1-21-21-1-1-1-111-1-1110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ332222-2-22-122-2-22-12-12-1-1-2-222-21-21-1-1-1-212-2-1111112-111-21-212-12-1-1-111-1-111-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ342222-2-22-122-2-22-12-12-1-1-2-222-21-21-1-1-1-212-2-1111112-111-21-212-12-1-1-111-1-111-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ352222-2-2-1222-2-2-12-12-12-122-2-21-21-2-1-1-11-2-112-21111-1211-12-121-21-2-1-1-1-111-1-111000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ362222-2-2-1222-2-2-12-12-12-122-2-21-21-2-1-1-11-2-112-21111-1211-12-121-21-2-1-1-1-111-1-111000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ372222-2-2-1222-2-2-12-12-12-1-2-2221-21-2-1-1-11-2-112-21111-12111-21-2-12-12-1-111-1-111-1-1000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ382222-2-2-1222-2-2-12-12-12-1-2-2221-21-2-1-1-11-2-112-21111-12111-21-2-12-12-1-111-1-111-1-1000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ3922-2-22-2222-2-2222-2-2-2-22000022-2-22-2-2-2-22222-2-222-2-22-200000000-22000000000000000000000000000000000000002-2-22
χ4022-2-22-2222-2-2222-2-2-2-22000022-2-22-2-2-2-22222-2-222-2-22-200000000-2200000000000000000000000000000000000000-222-2
χ4122-2-22-22-1-222-22-1-21-21-12i−2i2i−2i2-1-21-1112-1-2-211-1-1112-1-112i−i−2ii2i−i−2ii-11−i−i−i−iiiii0000002i−2i002-20000−i−iii0000-1-111000000
χ4222-2-22-22-1-222-22-1-21-21-12i−2i2i−2i2-1-21-1112-1-2-211-1-1112-1-112i−i−2ii2i−i−2ii-11−i−i−i−iiiii000000−2i2i00-220000ii−i−i000011-1-1000000
χ4322-2-22-22-1-222-22-1-21-21-1−2i2i−2i2i2-1-21-1112-1-2-211-1-1112-1-11−2ii2i−i−2ii2i−i-11iiii−i−i−i−i0000002i−2i00-220000−i−iii000011-1-1000000
χ4422-2-22-22-1-222-22-1-21-21-1−2i2i−2i2i2-1-21-1112-1-2-211-1-1112-1-11−2ii2i−i−2ii2i−i-11iiii−i−i−i−i000000−2i2i002-20000ii−i−i0000-1-111000000
χ4522-2-22-2-12-222-2-121-21-2-12i−2i2i−2i-121-2-111-1211-2-2-1-111-12-11−i2ii−2i−i2ii−2i-11−i−i−i−iiiii00002i−2i002-200−i−iii0000-1-1110000000000
χ4622-2-22-2-12-222-2-121-21-2-12i−2i2i−2i-121-2-111-1211-2-2-1-111-12-11−i2ii−2i−i2ii−2i-11−i−i−i−iiiii0000−2i2i00-2200ii−i−i000011-1-10000000000
χ4722-2-22-2-12-222-2-121-21-2-1−2i2i−2i2i-121-2-111-1211-2-2-1-111-12-11i−2i−i2ii−2i−i2i-11iiii−i−i−i−i00002i−2i00-2200−i−iii000011-1-10000000000
χ4822-2-22-2-12-222-2-121-21-2-1−2i2i−2i2i-121-2-111-1211-2-2-1-111-12-11i−2i−i2ii−2i−i2i-11iiii−i−i−i−i0000−2i2i002-200ii−i−i0000-1-1110000000000
χ4922-2-2-22222-22-222-2-2-2-220000-2-2222-2-2222-22-222-2-2-2-2-2200000000-220000000022-2-2000000000000000000000000-220000
χ5022-2-2-22222-22-222-2-2-2-220000-2-2222-2-2222-22-222-2-2-2-2-2200000000-2200000000-2-2220000000000000000000000002-20000
χ5122-2-2-2222-22-2222-2-2-2-222i−2i−2i2i-2-2222-2-2-2-2-22-22-2-22222-222i2i−2i−2i−2i−2i2i2i2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ5222-2-2-2222-22-2222-2-2-2-22−2i2i2i−2i-2-2222-2-2-2-2-22-22-2-22222-22−2i−2i2i2i2i2i−2i−2i2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ5322-2-2-222-1-22-222-1-21-21-12i−2i−2i2i-212-1-111-21-221-111-1-12-11-12i−i−2ii−2ii2i−i-11−i−iiiii−i−i00000000000000003−3−330000−i3i3i3−i3000000
χ5422-2-2-222-1-22-222-1-21-21-12i−2i−2i2i-212-1-111-21-221-111-1-12-11-12i−i−2ii−2ii2i−i-11−i−iiiii−i−i0000000000000000−333−30000i3−i3−i3i3000000
χ5522-2-2-222-1-22-222-1-21-21-1−2i2i2i−2i-212-1-111-21-221-111-1-12-11-1−2ii2i−i2i−i−2ii-11ii−i−i−i−iii00000000000000003−3−330000i3−i3−i3i3000000
χ5622-2-2-222-1-22-222-1-21-21-1−2i2i2i−2i-212-1-111-21-221-111-1-12-11-1−2ii2i−i2i−i−2ii-11ii−i−i−i−iii0000000000000000−333−30000−i3i3i3−i3000000
χ5722-2-2-22-12-22-22-121-21-2-12i−2i−2i2i1-2-12-1111-21-1-2211-1-1-121-1−i2ii−2ii−2i−i2i-11−i−iiiii−i−i0000000000003−3−330000−i3i3i3−i30000000000
χ5822-2-2-22-12-22-22-121-21-2-12i−2i−2i2i1-2-12-1111-21-1-2211-1-1-121-1−i2ii−2ii−2i−i2i-11−i−iiiii−i−i000000000000−333−30000i3−i3−i3i30000000000
χ5922-2-2-22-12-22-22-121-21-2-1−2i2i2i−2i1-2-12-1111-21-1-2211-1-1-121-1i−2i−i2i−i2ii−2i-11ii−i−i−i−iii0000000000003−3−330000i3−i3−i3i30000000000
χ6022-2-2-22-12-22-22-121-21-2-1−2i2i2i−2i1-2-12-1111-21-1-2211-1-1-121-1i−2i−i2i−i2ii−2i-11ii−i−i−i−iii000000000000−333−30000−i3i3i3−i30000000000
χ614444444-2-4-4-4-44-24-24-2-200004-24-2-2-2-2-42-4-4222222-42-2-20000000022000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-24-24-20000-24-24-2-2-22-422-4-422222-4-2-20000000022000000000000000000000000000000000000000000
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
χ674444-4-44-2-4-4444-24-24-2-20000-42-42-2-2-24-2-442-2-2-2-2-2-42220000000022000000000000000000000000000000000000000000
χ684444-4-4-24-4-444-24-24-24-200002-42-4-2-2-2-242-2-44-2-2-2-22-4220000000022000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2144-4-4222211122-22-22-1-1-1-1-2-2-1-1-2-2-2-222221111-1-111-1-10000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21-4-444222211122-22-22-1-1-1-1-2-2-1-12222-2-2-2-211-1-111-1-1110000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-2100002222111-2-22-22-2111122-1-100000000-1-13-3-333-3-330000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-2100002222111-2-22-22-2111122-1-100000000-1-1-333-3-333-30000000000000000000000000000000000
χ7344-4-44-44-24-4-444-2-42-42-200004-2-42-222-4244-2-222-2-2-42-22000000002-2000000000000000000000000000000000000000000
χ7444-4-44-4-244-4-44-242-42-4-20000-242-4-2222-4-2-24422-2-22-4-22000000002-2000000000000000000000000000000000000000000
χ7544-4-44-4-2-24-4-44-2-2222210000-2-2221-1-122-2-2-2-2-1-111221-100000000-113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7644-4-44-4-2-24-4-44-2-2222210000-2-2221-1-122-2-2-2-2-1-111221-100000000-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7744-4-44-4-2-2-444-4-2-2222214i−4i4i−4i-2-2221-1-1-2-2222211-1-1-2-21-1−2i−2i2i2i−2i−2i2i2i1-1iiii−i−i−i−i0000000000000000000000000000000000
χ7844-4-44-4-2-2-444-4-2-222221−4i4i−4i4i-2-2221-1-1-2-2222211-1-1-2-21-12i2i−2i−2i2i2i−2i−2i1-1−i−i−i−iiiii0000000000000000000000000000000000
χ7944-4-4-444-24-44-44-2-42-42-20000-424-2-2224-24-4-22-2-222-422-2000000002-2000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-242-42-4-200002-4-24-222-24-224-4-2-2222-42-2000000002-2000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-2-222221000022-2-21-1-1-2-2-22-2211-1-122-1100000000-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-2-222221000022-2-21-1-1-2-2-22-2211-1-122-1100000000-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-2-2222214i−4i−4i4i22-2-21-1-1222-22-2-1-111-2-2-11−2i−2i2i2i2i2i−2i−2i1-1ii−i−i−i−iii0000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-2-222221−4i4i4i−4i22-2-21-1-1222-22-2-1-111-2-2-112i2i−2i−2i−2i−2i2i2i1-1−i−iiiii−i−i0000000000000000000000000000000000
χ854-44-400440000-4-444-4-4400000000-44-40000000000000000000000000000000022−2222−22000000000000000000000000000000
χ864-44-400440000-4-444-4-4400000000-44-400000000000000000000000000000000−2222−2222000000000000000000000000000000
χ874-4-4400440000-4-4-4-444400000000-4-440000000000000000000000000000000022−22−2222000000000000000000000000000000
χ884-4-4400440000-4-4-4-444400000000-4-4400000000000000000000000000000000−222222−22000000000000000000000000000000
χ898-88-8008-40000-848-4-84-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-8-484-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-4000044-4-444200000000-22-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-4000044-4-444200000000-22-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-848-4-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-8-48-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
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).