Finite Group Databasebeta

← Group #11878861

Character table — Group #11878861

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222223344666666666634666666666121212121212444444226666666666666666121212121248888121212121212121222446666242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-1111-111-1-111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-111-1
χ101111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-1111-111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11
χ111111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-111-11-1-111-1-111-1-1-1-11111-111-1-1-111-1-11111-1-1-1-1-11-11-1-11111-1-111-1-11-1-11
χ121111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11111-1-111-11-1-111-1-111-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-111-1-1-111-1-111-1-111-111-1
χ131111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-11-111-1-111-1-11111-1-1-1-1-111-1-1111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-11-11
χ141111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-11-111-1-111-1-11111-1-1-1-1-111-1-11-1-111-1-1-1-11111-11-11-1-111-1-11111-1-11-11-1
χ151111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-1-11-1-111-1-111-1-1-1-11111-111-1-1111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-1111-11-1
χ161111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-111-1-111-1-1-11-1-111-1-111-1-1-1-11111-111-1-11-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-11-11
χ1722222222-2-222222222222-2222222222-2-2-2-2-2-22222-2-2000000000000000000-2-2-2-2-2-2000022-2-222-2-200000000000000000000
χ1822222222-2-222222222222-2222222222-2-2-2-2-2-2-2-2-2-222000000000000000000-2-2-2-2-220000-2-222-2-22200000000000000000000
χ192222222-1222-1-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-120000-1-1-1-1-1-1-1-12200-1-1-1-1000000000000
χ202222222-1222-1-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-21111111111112-1-1-1-120000-1-1-1-1-1-1-1-1-2-2001111000000000000
χ212222222-1222-1-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2000011111111-2-2001111000000000000
χ222222222-1222-1-1-1-1-12-1-12-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-21111111111112-1-1-1-1-20000111111112200-1-1-1-1000000000000
χ232222222-1-2-22-1-1-1-1-12-1-12-1-222-1-1-1-1-1-1-11111-2-22222-2-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-21111-20000-1-111-1-1110000−i3i3−i3i3000000000000
χ242222222-1-2-22-1-1-1-1-12-1-12-1-222-1-1-1-1-1-1-11111-2-22222-2-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-21111-20000-1-111-1-1110000i3−i3i3−i3000000000000
χ252222222-1-2-22-1-1-1-1-12-1-12-1-222-1-1-1-1-1-1-11111-2-2-2-2-2-222000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-211112000011-1-111-1-10000i3−i3i3−i3000000000000
χ262222222-1-2-22-1-1-1-1-12-1-12-1-222-1-1-1-1-1-1-11111-2-2-2-2-2-222000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-211112000011-1-111-1-10000−i3i3−i3i3000000000000
χ27222222-1222-122222-122-1-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1022220000000000220000-1-1-1-10000-1-100
χ28222222-1222-122222-122-1-12-1-1-1-1-1-1-1-1-12222-1-100000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000000000-2-20000111100001100
χ29222222-1222-122222-122-1-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-21111-2-2-2-211111111-1-1-1-1-1022220000000000-2-20000-1-1-1-100001100
χ30222222-1222-122222-122-1-12-1-1-1-1-1-1-1-1-12222-1-1000000-2-21111-2-2-2-211111111-1-1-1-1-10-2-2-2-2000000000022000011110000-1-100
χ312222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-22-2-222-2-222-2-2-2-20000000000000000002-2-2222000022-2-2-2-22200000000000000000000
χ322222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-22-2-222-2-2-2-222220000000000000000002-2-222-20000-2-22222-2-200000000000000000000
χ332222-2-22-12221111-12-1-12-1-2-2-2-1-11111-1-1-1112222-2-2222-222-2-2-1-111-1-1-1-11111-2-1-111-20000-1-1-1-111112-200-1-111000000000000
χ342222-2-22-12221111-12-1-12-1-2-2-2-1-11111-1-1-1112222-2-222-22-2-22211-1-11111-1-1-1-1-2-1-111-20000-1-1-1-11111-220011-1-1000000000000
χ352222-2-22-12221111-12-1-12-1-2-2-2-1-11111-1-1-11122-2-222-2-22-222-2-2-1-111-1-1-1-11111-2-1-111200001111-1-1-1-1-220011-1-1000000000000
χ362222-2-22-12221111-12-1-12-1-2-2-2-1-11111-1-1-11122-2-222-2-2-22-2-22211-1-11111-1-1-1-1-2-1-111200001111-1-1-1-12-200-1-111000000000000
χ372222-2-22-1-2-221111-12-1-12-12-2-2-1-11111-111-1-1-2-222-2-2-2-2000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3211-1-120000-1-11111-1-10000−i3i3i3−i3000000000000
χ382222-2-22-1-2-221111-12-1-12-12-2-2-1-11111-111-1-1-2-222-2-2-2-2000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3211-1-120000-1-11111-1-10000i3−i3−i3i3000000000000
χ392222-2-22-1-2-221111-12-1-12-12-2-2-1-11111-111-1-1-2-2-2-22222000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3211-1-1-2000011-1-1-1-1110000i3−i3−i3i3000000000000
χ402222-2-22-1-2-221111-12-1-12-12-2-2-1-11111-111-1-1-2-2-2-22222000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3211-1-1-2000011-1-1-1-1110000−i3i3i3−i3000000000000
χ412222-2-2-1222-1-2-2-2-22-122-1-1-211-1-11111-122-2-2-1-10000002-2-1-11122-2-2-1-1-1-111111-1-111022-2-200000000002-20000-1-11100001-100
χ422222-2-2-1222-1-2-2-2-22-122-1-1-211-1-11111-122-2-2-1-10000002-2-1-11122-2-2-1-1-1-111111-1-1110-2-2220000000000-22000011-1-10000-1100
χ432222-2-2-1222-1-2-2-2-22-122-1-1-211-1-11111-122-2-2-1-1000000-2211-1-1-2-2221111-1-1-1-11-1-111022-2-20000000000-220000-1-1110000-1100
χ442222-2-2-1222-1-2-2-2-22-122-1-1-211-1-11111-122-2-2-1-1000000-2211-1-1-2-2221111-1-1-1-11-1-1110-2-22200000000002-2000011-1-100001-100
χ4522-2-22-22200222-2-2-2-22-2-2202-22-222-2-2-20000002-22-200000000000000000000000000−i2i2−i2i22-2002-20000000000−i2i2−i2i2−i2i2−i2i20000
χ4622-2-22-22200222-2-2-2-22-2-2202-22-222-2-2-20000002-22-200000000000000000000000000i2−i2i2−i22-2002-20000000000i2−i2i2−i2i2−i2i2−i20000
χ4722-2-22-22200222-2-2-2-22-2-2202-22-222-2-2-2000000-22-2200000000000000000000000000−i2i2−i2i2-2200-220000000000−i2i2−i2i2i2−i2i2−i20000
χ4822-2-22-22200222-2-2-2-22-2-2202-22-222-2-2-2000000-22-2200000000000000000000000000i2−i2i2−i2-2200-220000000000i2−i2i2−i2−i2i2−i2i20000
χ4922-2-2-2222002-2-222-2-22-2-220-222-2-2-222-20000002-2-2200000000000000000000000000−i2i2i2−i22-200-220000000000−i2i2i2−i2−i2i2i2−i20000
χ5022-2-2-2222002-2-222-2-22-2-220-222-2-2-222-20000002-2-2200000000000000000000000000i2−i2−i2i22-200-220000000000i2−i2−i2i2i2−i2−i2i20000
χ5122-2-2-2222002-2-222-2-22-2-220-222-2-2-222-2000000-222-200000000000000000000000000−i2i2i2−i2-22002-20000000000−i2i2i2−i2i2−i2−i2i20000
χ5222-2-2-2222002-2-222-2-22-2-220-222-2-2-222-2000000-222-200000000000000000000000000i2−i2−i2i2-22002-20000000000i2−i2−i2i2−i2i2i2−i20000
χ53444444-24-4-4-244444-244-2-2-4-2-2-2-2-2-2-2-2-2-4-4-4-42200000000000000000000000022222000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-200000044-2-2-2-2-2-2-2-211111111-21111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2000000-4-422222222-1-1-1-1-1-1-1-1-21111000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-21111111222222000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i32-1-1-1-1000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-211111112222220000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32-1-1-1-1000000000000000000000000000000000
χ584444-4-4-24-4-4-2-4-4-4-44-244-2-2422-2-22222-2-4-44422000000000000000000000000-222-2-2000000000000000000000000000000000
χ594444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-2-222-2-20000004-4-2-222-2-2221111-1-1-1-1211-1-1000000000000000000000000000000000
χ604444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-2-222-2-2000000-4422-2-222-2-2-1-1-1-11111211-1-1000000000000000000000000000000000
χ614444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1122-2-222000000000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-2-1-111000000000000000000000000000000000
χ624444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1122-2-2220000000000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-2-1-111000000000000000000000000000000000
χ6344-4-44-44-2004-2-2222-4-22-4-204-4-22-2-22220000004-44-4000000000000000000000000000000-2200-220000000000000000000000
χ6444-4-44-44-2004-2-2222-4-22-4-204-4-22-2-2222000000-44-440000000000000000000000000000002-2002-20000000000000000000000
χ6544-4-44-4-2400-244-4-4-424-42-20-22-22-2-2222000000000000000000000000000000000000−2i22i2−2i22i20000000000000000i2−i2i2−i200000000
χ6644-4-44-4-2400-244-4-4-424-42-20-22-22-2-22220000000000000000000000000000000000002i2−2i22i2−2i20000000000000000−i2i2−i2i200000000
χ6744-4-4-444-200422-2-22-4-22-4-20-44-2222-2-220000004-4-44000000000000000000000000000000-22002-20000000000000000000000
χ6844-4-4-444-200422-2-22-4-22-4-20-44-2222-2-22000000-444-40000000000000000000000000000002-200-220000000000000000000000
χ6944-4-4-44-2400-2-4-444-424-42-202-2-2222-2-22000000000000000000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i200000000
χ7044-4-4-44-2400-2-4-444-424-42-202-2-2222-2-220000000000000000000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i200000000
χ714-44-400444-4-400004-4-4-444000-4-4000044-4004-400000000000000000000000004-400000000000000000000000000000000000
χ724-44-40044-44-400004-4-4-444000-4-400004-4400-440000000000000000000000000-4400000000000000000000000000000000000
χ734-44-4004-24-4-4−2i32i3−2i32i3-2-4224-200022−2i32i3−2i32i3-2-22−2i32i34-40000000000000000000000000-22−2i32i3000000000000000000000000000000000
χ744-44-4004-24-4-42i3−2i32i3−2i3-2-4224-2000222i3−2i32i3−2i3-2-222i3−2i34-40000000000000000000000000-222i3−2i3000000000000000000000000000000000
χ754-44-4004-2-44-4−2i32i3−2i32i3-2-4224-200022−2i32i3−2i32i3-22-22i3−2i3-4400000000000000000000000002-22i3−2i3000000000000000000000000000000000
χ764-44-4004-2-44-42i3−2i32i3−2i3-2-4224-2000222i3−2i32i3−2i3-22-2−2i32i3-4400000000000000000000000002-2−2i32i3000000000000000000000000000000000
χ774-44-400-244-42000042-4-4-2-2000220000-24-400-2200000000−2i32i3000000−2i32i3−2i32i300000-2200000000000000000000000000000000000
χ784-44-400-244-42000042-4-4-2-2000220000-24-400-22000000002i3−2i30000002i3−2i32i3−2i300000-2200000000000000000000000000000000000
χ794-44-400-24-442000042-4-4-2-2000220000-2-44002-20000000000−2i32i300000000−2i32i3−2i32i302-200000000000000000000000000000000000
χ804-44-400-24-442000042-4-4-2-2000220000-2-44002-200000000002i3−2i3000000002i3−2i32i3−2i302-200000000000000000000000000000000000
χ814-44-400-2-24-42−2i32i3−2i32i3-2222-21000-1-1i3−i3i3−i31-22−2i32i3-2200000000−2i32i3000000i3−i3i3−i33-3-3301-1i3−i3000000000000000000000000000000000
χ824-44-400-2-24-42−2i32i3−2i32i3-2222-21000-1-1i3−i3i3−i31-22−2i32i3-22000000002i3−2i3000000−i3i3−i3i3-333-301-1i3−i3000000000000000000000000000000000
χ834-44-400-2-24-422i3−2i32i3−2i3-2222-21000-1-1−i3i3−i3i31-222i3−2i3-2200000000−2i32i3000000i3−i3i3−i3-333-301-1−i3i3000000000000000000000000000000000
χ844-44-400-2-24-422i3−2i32i3−2i3-2222-21000-1-1−i3i3−i3i31-222i3−2i3-22000000002i3−2i3000000−i3i3−i3i33-3-3301-1−i3i3000000000000000000000000000000000
χ854-44-400-2-2-442−2i32i3−2i32i3-2222-21000-1-1i3−i3i3−i312-22i3−2i32-20000000000−2i32i300003-3-33i3−i3i3−i30-11−i3i3000000000000000000000000000000000
χ864-44-400-2-2-442−2i32i3−2i32i3-2222-21000-1-1i3−i3i3−i312-22i3−2i32-200000000002i3−2i30000-333-3−i3i3−i3i30-11−i3i3000000000000000000000000000000000
χ874-44-400-2-2-4422i3−2i32i3−2i3-2222-21000-1-1−i3i3−i3i312-2−2i32i32-20000000000−2i32i30000-333-3i3−i3i3−i30-11i3−i3000000000000000000000000000000000
χ884-44-400-2-2-4422i3−2i32i3−2i3-2222-21000-1-1−i3i3−i3i312-2−2i32i32-200000000002i3−2i300003-3-33−i3i3−i3i30-11i3−i3000000000000000000000000000000000
χ894-4-44004400-40000-44-44-44000-440000-400000000004-40000000000000000000000000000004-4000000000000000000000000
χ904-4-44004400-40000-44-44-44000-440000-40000000000-44000000000000000000000000000000-44000000000000000000000000
χ914-4-44004-200-4−2i32i32i3−2i3242-2-4-20002-2−2i32i32i3−2i3200000000004-4000000000000000000000000000000-2200−2i32i300000000000000000000
χ924-4-44004-200-4−2i32i32i3−2i3242-2-4-20002-2−2i32i32i3−2i320000000000-440000000000000000000000000000002-2002i3−2i300000000000000000000
χ934-4-44004-200-42i3−2i3−2i32i3242-2-4-20002-22i3−2i3−2i32i3200000000004-4000000000000000000000000000000-22002i3−2i300000000000000000000
χ944-4-44004-200-42i3−2i3−2i32i3242-2-4-20002-22i3−2i3−2i32i320000000000-440000000000000000000000000000002-200−2i32i300000000000000000000
χ9588-8-88-8-4-400-4-4-44444-44420-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88-4-400-444-4-444-444204-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800-480040000-8-4-884-40004-40000400000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-4004−4i34i34i3−4i34-44-442000-222i3−2i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-40044i3−4i3−4i34i34-44-442000-22−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000000

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