Finite Group Databasebeta

← Group #11791382

Character table — Group #11791382

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
χ91-1-111-1111-11-1-1-1-1-1111ii−i−i11-1-11-1-11111-1-111-1-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i11-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−i
χ101-1-111-1111-11-1-1-1-1-1111ii−i−i11-1-11-1-11111-1-111-1-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i11-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−i
χ111-1-111-1111-11-1-1-1-1-1111ii−i−i11-1-11-1-11111-1-111-1-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i-1-1111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ121-1-111-1111-11-1-1-1-1-1111ii−i−i11-1-11-1-11111-1-111-1-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i-1-111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ131-1-111-1111-11-1-1-1-1-1111−i−iii11-1-11-1-11111-1-111-1-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii11-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii
χ141-1-111-1111-11-1-1-1-1-1111−i−iii11-1-11-1-11111-1-111-1-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii11-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii
χ151-1-111-1111-11-1-1-1-1-1111−i−iii11-1-11-1-11111-1-111-1-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii-1-1111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ161-1-111-1111-11-1-1-1-1-1111−i−iii11-1-11-1-11111-1-111-1-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii-1-111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-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
χ192222222-1222222-1-12-1-122222-12-1-1-1-122-1-12-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ202222222-1222222-1-12-1-122222-12-1-1-1-122-1-12-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ212222222-1222222-1-12-1-1-2-2-2-22-12-1-1-1-122-1-12-1-1-1-1-12-1-1-1-2-211-2-211-1-1111111110000002200-2-20000-1-1-1-100001111000000
χ222222222-1222222-1-12-1-1-2-2-2-22-12-1-1-1-122-1-12-1-1-1-1-12-1-1-1-2-211-2-211-1-111111111000000-2-20022000011110000-1-1-1-1000000
χ23222222-122222-1-122-12-12222-12-12-1-1-1-1-122-12-1-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ24222222-122222-1-122-12-12222-12-12-1-1-1-1-122-12-1-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ25222222-122222-1-122-12-1-2-2-2-2-12-12-1-1-1-1-122-12-1-1-1-1-12-1-111-2-211-2-2-1-11111111100002200-2-200-1-1-1-1000011110000000000
χ26222222-122222-1-122-12-1-2-2-2-2-12-12-1-1-1-1-122-12-1-1-1-1-12-1-111-2-211-2-2-1-1111111110000-2-200220011110000-1-1-1-10000000000
χ272222-2-22222-2-222222222-22-2-2-2-2-22222-22-2-2-2-2-2-2-222-2-22-22-22-22-22222-2-222-2-20000000000000000000000000000000000
χ282222-2-22222-2-22222222-22-22-2-2-2-22222-22-2-2-2-2-2-2-222-2-2-22-22-22-2222-2-222-2-2220000000000000000000000000000000000
χ292222-2-222-2-22222222220000-2-2-2-2222-22-22222222-2-2-2-200000000-2-2000000002222000000000000000000000000-2-20000
χ302222-2-222-2-22222222220000-2-2-2-2222-22-22222222-2-2-2-200000000-2-200000000-2-2-2-2000000000000000000000000220000
χ312222-2-22-122-2-222-1-12-1-12-22-2-21-21-1-1-12-2-11-2111112-1112-2-112-2-11-1-1-1-111-1-1110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ322222-2-22-122-2-222-1-12-1-12-22-2-21-21-1-1-12-2-11-2111112-1112-2-112-2-11-1-1-1-111-1-1110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ332222-2-22-122-2-222-1-12-1-1-22-22-21-21-1-1-12-2-11-2111112-111-221-1-221-1-1-111-1-111-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ342222-2-22-122-2-222-1-12-1-1-22-22-21-21-1-1-12-2-11-2111112-111-221-1-221-1-1-111-1-111-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ352222-2-2-1222-2-2-1-122-12-12-22-21-21-2-1-1-1-112-21-21111-1211-112-2-112-2-1-1-1-111-1-111000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ362222-2-2-1222-2-2-1-122-12-12-22-21-21-2-1-1-1-112-21-21111-1211-112-2-112-2-1-1-1-111-1-111000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ372222-2-2-1222-2-2-1-122-12-1-22-221-21-2-1-1-1-112-21-21111-12111-1-221-1-22-1-111-1-111-1-1000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ382222-2-2-1222-2-2-1-122-12-1-22-221-21-2-1-1-1-112-21-21111-12111-1-221-1-22-1-111-1-111-1-1000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ392-2-222-222-22-22-2-2-2-2222000022-2-22-2-2-2-2-2-222-2-222222-200000000-22000000000000000000000000000000000000002-2-22
χ402-2-222-222-22-22-2-2-2-2222000022-2-22-2-2-2-2-2-222-2-222222-200000000-2200000000000000000000000000000000000000-222-2
χ412-2-222-22-12-22-2-2-2112-1-12i2i−2i−2i2-1-21-11122-1-1-21-1-111-21-112i2i−i−i−2i−2iii-11−i−i−i−iiiii0000002-2002i−2i0000-1-1110000−i−iii000000
χ422-2-222-22-12-22-2-2-2112-1-12i2i−2i−2i2-1-21-11122-1-1-21-1-111-21-112i2i−i−i−2i−2iii-11−i−i−i−iiiii000000-2200−2i2i000011-1-10000ii−i−i000000
χ432-2-222-22-12-22-2-2-2112-1-1−2i−2i2i2i2-1-21-11122-1-1-21-1-111-21-11−2i−2iii2i2i−i−i-11iiii−i−i−i−i0000002-200−2i2i0000-1-1110000ii−i−i000000
χ442-2-222-22-12-22-2-2-2112-1-1−2i−2i2i2i2-1-21-11122-1-1-21-1-111-21-11−2i−2iii2i2i−i−i-11iiii−i−i−i−i000000-22002i−2i000011-1-10000−i−iii000000
χ452-2-222-2-122-22-211-2-2-12-12i2i−2i−2i-121-2-111-1-1221-2-1-1111-2-11−i−i2i2iii−2i−2i-11−i−i−i−iiiii00002-2002i−2i00-1-1110000−i−iii0000000000
χ462-2-222-2-122-22-211-2-2-12-12i2i−2i−2i-121-2-111-1-1221-2-1-1111-2-11−i−i2i2iii−2i−2i-11−i−i−i−iiiii0000-2200−2i2i0011-1-10000ii−i−i0000000000
χ472-2-222-2-122-22-211-2-2-12-1−2i−2i2i2i-121-2-111-1-1221-2-1-1111-2-11ii−2i−2i−i−i2i2i-11iiii−i−i−i−i00002-200−2i2i00-1-1110000ii−i−i0000000000
χ482-2-222-2-122-22-211-2-2-12-1−2i−2i2i2i-121-2-111-1-1221-2-1-1111-2-11ii−2i−2i−i−i2i2i-11iiii−i−i−i−i0000-22002i−2i0011-1-10000−i−iii0000000000
χ492-2-22-22222-2-22-2-2-2-22222i−2i−2i2i-2-2222-2-22-22-222-2-222-2-2-222i−2i2i−2i−2i2i−2i2i2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ502-2-22-22222-2-22-2-2-2-2222−2i2i2i−2i-2-2222-2-22-22-222-2-222-2-2-22−2i2i−2i2i2i−2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ512-2-22-2222-222-2-2-2-2-22220000-2-2222-2-2-22-22-2-222-2-222-2200000000-220000000022-2-2000000000000000000000000-220000
χ522-2-22-2222-222-2-2-2-2-22220000-2-2222-2-2-22-22-2-222-2-222-2200000000-2200000000-2-2220000000000000000000000002-20000
χ532-2-22-222-12-2-22-2-2112-1-12i−2i−2i2i-212-1-1112-2-112-111-1-1-211-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i0000000000000000−i3i3i3−i300003−3−33000000
χ542-2-22-222-12-2-22-2-2112-1-12i−2i−2i2i-212-1-1112-2-112-111-1-1-211-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i0000000000000000i3−i3−i3i30000−333−3000000
χ552-2-22-222-12-2-22-2-2112-1-1−2i2i2i−2i-212-1-1112-2-112-111-1-1-211-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii0000000000000000−i3i3i3−i30000−333−3000000
χ562-2-22-222-12-2-22-2-2112-1-1−2i2i2i−2i-212-1-1112-2-112-111-1-1-211-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii0000000000000000i3−i3−i3i300003−3−33000000
χ572-2-22-22-122-2-2211-2-2-12-12i−2i−2i2i1-2-12-111-112-2-1211-1-11-21-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i000000000000−i3i3i3−i300003−3−330000000000
χ582-2-22-22-122-2-2211-2-2-12-12i−2i−2i2i1-2-12-111-112-2-1211-1-11-21-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i000000000000i3−i3−i3i30000−333−30000000000
χ592-2-22-22-122-2-2211-2-2-12-1−2i2i2i−2i1-2-12-111-112-2-1211-1-11-21-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii000000000000−i3i3i3−i30000−333−30000000000
χ602-2-22-22-122-2-2211-2-2-12-1−2i2i2i−2i1-2-12-111-112-2-1211-1-11-21-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii000000000000i3−i3−i3i300003−3−330000000000
χ614444444-2-4-4-4-444-2-24-2-200004-24-2-2-2-2-4-422-422222-42-2-20000000022000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-244-24-20000-24-24-2-2-222-4-42-422222-4-2-20000000022000000000000000000000000000000000000000000
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
χ674444-4-44-2-4-44444-2-24-2-20000-42-42-2-2-2-442-24-2-2-2-2-2-42220000000022000000000000000000000000000000000000000000
χ684444-4-4-24-4-444-2-244-24-200002-42-4-2-2-22-2-44-24-2-2-2-22-4220000000022000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-214-44-42222111-22-2222-1-1-1-1-2-2-1-1-22-22-22-221111-1-111-1-10000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21-44-442222111-22-2222-1-1-1-1-2-2-1-12-22-22-22-211-1-111-1-1110000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-21000022221112-22-2-2-2111122-1-100000000-1-13-3-333-3-330000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-21000022221112-22-2-2-2111122-1-100000000-1-1-333-3-333-30000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400000000-44-40000000000000000000000000000000022−2222−22000000000000000000000000000000
χ7444-4-4004400004-44-4-4-4400000000-44-400000000000000000000000000000000−2222−2222000000000000000000000000000000
χ754-44-400440000-44-44-4-4400000000-4-440000000000000000000000000000000022−22−2222000000000000000000000000000000
χ764-44-400440000-44-44-4-4400000000-4-4400000000000000000000000000000000−222222−22000000000000000000000000000000
χ774-4-444-44-2-44-44-4-4224-2-200004-2-42-222-4-4224-222-2-24-2-22000000002-2000000000000000000000000000000000000000000
χ784-4-444-4-24-44-4422-4-4-24-20000-242-4-22222-4-4-2422-2-2-24-22000000002-2000000000000000000000000000000000000000000
χ794-4-444-4-2-24-44-42222-2-214i4i−4i−4i-2-2221-1-1-2-2-2-22211-1-1221-1−2i−2i−2i−2i2i2i2i2i1-1iiii−i−i−i−i0000000000000000000000000000000000
χ804-4-444-4-2-24-44-42222-2-21−4i−4i4i4i-2-2221-1-1-2-2-2-22211-1-1221-12i2i2i2i−2i−2i−2i−2i1-1−i−i−i−iiiii0000000000000000000000000000000000
χ814-4-444-4-2-2-44-442222-2-210000-2-2221-1-12222-2-2-1-111-2-21-100000000-113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ824-4-444-4-2-2-44-442222-2-210000-2-2221-1-12222-2-2-1-111-2-21-100000000-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ834-4-44-444-2-444-4-4-4224-2-20000-424-2-222-442-2-42-2-2224-22-2000000002-2000000000000000000000000000000000000000000
χ844-4-44-44-24-444-422-4-4-24-200002-4-24-2222-2-442-4-2-222-242-2000000002-2000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-442222-2-214i−4i−4i4i22-2-21-1-1-22-22-2-2-1-11122-11−2i2i−2i2i2i−2i2i−2i1-1ii−i−i−i−iii0000000000000000000000000000000000
χ864-4-44-44-2-24-4-442222-2-21−4i4i4i−4i22-2-21-1-1-22-22-2-2-1-11122-112i−2i2i−2i−2i2i−2i2i1-1−i−iiiii−i−i0000000000000000000000000000000000
χ874-4-44-44-2-2-444-42222-2-21000022-2-21-1-12-22-22211-1-1-2-2-1100000000-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ884-4-44-44-2-2-444-42222-2-21000022-2-21-1-12-22-22211-1-1-2-2-1100000000-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ8988-8-8008-400008-8-44-84-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-84-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200000000-22-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200000000-22-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-884-4-84-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-884-8-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-44-444200000000-2-220000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44-444200000000-2-22000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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