Finite Group Databasebeta

← Group #11887623

Character table — Group #11887623

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order1222223344666666346666666888812121212121212126612121212242424242424242424242424242424244444224488884444441212121212121212448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-11-1-11
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11-111111111-1-111-1-1-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-111111-1-1-1-111-1-11-1-11
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-111-1-1-1-1-1111111-1-1-111-1
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1111-1-111-1-11-1-1-1-1-111
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-11-111-1-1-1-111-11111-11-1
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-11-1-11111-1-1-1111-11-11
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-1111-1-1-111-1-1
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-111-1-111-1-111-1-1-11-1-111-1-1
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1111-111-11-11
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111-1-1-1-1-11111-1-11-1111-11-1
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-111-1-111-1-111-11-1-1-1-111
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000-2-2-2-200000000000000000022000000
χ192222222-1222-12-1-12-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000220200-1-1-1-1000000000-1-10
χ202222222-1222-12-1-12-1222-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-2-20-2001111000000000110
χ212222222-1222-12-1-12-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-21111112200000000002-20-200-1-1-1-1000000000110
χ222222222-1222-12-1-12-1222-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-2-2111111-2-2111111-2-20000000000-2202001111000000000-1-10
χ23222222-1222-12-122-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000000000020220000-1-1-1-10000-100-1
χ24222222-1222-12-122-1-12-1-122-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-20000000000-20-2-20000111100001001
χ25222222-1222-12-122-1-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-2111100220000000000-202-20000-1-1-1-100001001
χ26222222-1222-12-122-1-12-1-122-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-111-2-2111111-2-2111100-2-2000000000020-22000011110000-100-1
χ272222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000000022-2-20000000000000000002-2000000
χ282222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-2222200000000000000000000-2-222000000000000000000-22000000
χ292222-2-22-1222-12-1-12-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-2111111220000000000-220-200-1-1110000000001-10
χ302222-2-22-1222-12-1-12-1-2-2-211-1-1-122-2-2-1-122-1-1-1-1111-21122-1-1-1-1-1-1-2-2111111-2-200000000002-2020011-1-1000000000-110
χ312222-2-22-1222-12-1-12-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-1220000000000-2-20200-1-111000000000-110
χ322222-2-22-1222-12-1-12-1-2-2-211-1-1-1-2-222-1-122-1-1-1-1111-211-2-211111122-1-1-1-1-1-1-2-20000000000220-20011-1-10000000001-10
χ332222-2-2-1222-12-122-1-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-2111100220000000000-20-220000-1-1110000100-1
χ342222-2-2-1222-12-122-1-1-211-2-2-1-1-122-2-222-1-1-1-1-1-111-2111-1-122-1-1-1-111-2-2111100-2-20000000000202-2000011-1-10000-1001
χ352222-2-2-1222-12-122-1-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-10022000000000020-2-20000-1-1110000-1001
χ362222-2-2-1222-12-122-1-1-211-2-2-1-1-1-2-22222-1-1-1-1-1-111-211111-2-21111-1-122-1-1-1-100-2-20000000000-2022000011-1-10000100-1
χ3722-2-22-2220022-2-2-2-2202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−200002-22-222−2−200000000000000002−20000
χ3822-2-22-2220022-2-2-2-2202-22-22-2-22−22−2000000002-200002−22−222−2−22−22−222−2−20000-22-22−2−2220000000000000000−220000
χ3922-2-22-2220022-2-2-2-2202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−22200002-22-2−2−2220000000000000000−220000
χ4022-2-22-2220022-2-2-2-2202-22-22-2-2−22−22000000002-20000−22−22−2−222−22−22−2−2220000-22-2222−2−200000000000000002−20000
χ4122-2-2-22220022-2-2-2-220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−22200002-2-22−2−22200000000000000002−20000
χ4222-2-2-22220022-2-2-2-220-22-222-2-22−2−2200000000-2200002−22−222−2−2−22−22−2−2220000-222-222−2−20000000000000000−220000
χ4322-2-2-22220022-2-2-2-220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−200002-2-2222−2−20000000000000000−220000
χ4422-2-2-22220022-2-2-2-220-22-222-2-2−222−200000000-220000−22−22−2−2222−22−222−2−20000-222-2−2−22200000000000000002−20000
χ452-2-2200222-2-2-2-22-22200000-2-2200002-22-222-2-200000000000000000000002i−2i2-200002i−2i2i−2i0000002i−2i002-20000000000
χ462-2-2200222-2-2-2-22-22200000-2-2200002-22-222-2-200000000000000000000002i−2i-220000−2i2i−2i2i0000002i−2i00-220000000000
χ472-2-2200222-2-2-2-22-22200000-2-2200002-22-222-2-20000000000000000000000−2i2i2-20000−2i2i−2i2i000000−2i2i002-20000000000
χ482-2-2200222-2-2-2-22-22200000-2-2200002-22-222-2-20000000000000000000000−2i2i-2200002i−2i2i−2i000000−2i2i00-220000000000
χ494444444-2-4-44-24-2-24-2-444-2-2-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000000
χ50444444-24-4-4-24-244-2-2-4-2-244-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-21114444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ52444444-2-244-2-2-2-2-2-214-2-2-2-2111-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ554444-4-44-2-4-44-24-2-24-24-4-422-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-24-244-2-2422-4-4-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-2-2-2-2-21-4222211144-4-4-2-2-2-21111-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-4-4-2-244-2-2-2-2-2-21-42222111-4-444-2-2-2-21111-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-44-44-2004-2-422-4-204-4-22-22222−2222−2200000000-22000022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000
χ6244-4-44-44-2004-2-422-4-204-4-22-222−2222−222200000000-220000−22222−222−2−2−22222−222−2−20000000000000000000000000000000000
χ6344-4-44-4-2400-242-4-42-20-224-4-22222−2222−2200000000-220000−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000
χ6444-4-44-4-2400-242-4-42-20-224-4-222−2222−222200000000-2200002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000
χ6544-4-44-4-2-200-2-2222210-22-221-1-122−2222−2200003i−3i3i−3i1-1003i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ6644-4-44-4-2-200-2-2222210-22-221-1-122−2222−220000−3i3i−3i3i1-100−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ6744-4-44-4-2-200-2-2222210-22-221-1-1−2222−222200003i−3i3i−3i1-1003i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ6844-4-44-4-2-200-2-2222210-22-221-1-1−2222−22220000−3i3i−3i3i1-100−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ6944-4-4-444-2004-2-422-4-20-442-2-22222−22−2222000000002-2000022−22−22−2−222−22222−222−2−20000000000000000000000000000000000
χ7044-4-4-444-2004-2-422-4-20-442-2-222−222222−22000000002-20000−22222−222−2−222−22−22−2−2220000000000000000000000000000000000
χ7144-4-4-44-2400-242-4-42-202-2-44-22222−22−2222000000002-20000−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000
χ7244-4-4-44-2400-242-4-42-202-2-44-222−222222−22000000002-200002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000
χ7344-4-4-44-2-200-2-22222102-22-21-1-122−22−222200003i−3i3i−3i-1100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ7444-4-4-44-2-200-2-22222102-22-21-1-122−22−22220000−3i3i−3i3i-11003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ7544-4-4-44-2-200-2-22222102-22-21-1-1−222222−2200003i−3i3i−3i-1100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ7644-4-4-44-2-200-2-22222102-22-21-1-1−222222−220000−3i3i−3i3i-11003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ774-44-4004400-4-44-44-4400000-44-4000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ784-44-4004400-4-44-44-4400000-44-40000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ794-4-440044-44-4-4-44-44400000-4-440000-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ804-4-44004-24-4-42-4-224-20000022-20000-224-4-2-22200000000000000000000004i−4i0000000000000000−2i2i00000000000000
χ814-4-44004-24-4-42-4-224-20000022-20000-224-4-2-2220000000000000000000000−4i4i00000000000000002i−2i00000000000000
χ824-4-44004-2-44-42-4-224-20000022-200002-2-4422-2-200000000000000000000000000000000000000000023−23000000000000
χ834-4-44004-2-44-42-4-224-20000022-200002-2-4422-2-2000000000000000000000000000000000000000000−2323000000000000
χ844-4-4400-244-42-424-4-2-20000022-200004-4-22-2-2220000000000000000000000004-4000000000000000000-220000000000
χ854-4-4400-244-42-424-4-2-20000022-200004-4-22-2-222000000000000000000000000-440000000000000000002-20000000000
χ864-4-4400-24-442-424-4-2-20000022-20000-442-222-2-20000000000000000000000000000000000000000000000−2i32i300000000
χ874-4-4400-24-442-424-4-2-20000022-20000-442-222-2-200000000000000000000000000000000000000000000002i3−2i300000000
χ888-88-8008-400-8484-4-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-48004-8-4-884-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-40044-44-44200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40044-44-44200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-48-8444-44-4200000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000000
χ938-8-8800-4-4-88444-44-4200000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.