Finite Group Databasebeta

← Group #11886700

Character table — Group #11886700

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444444488888888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1223344662234466666121212121212266666666666666661212121212121212122488242444468881212121212242424248812242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111-111-111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1111111-1-1-1
χ61111111111-111-111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-111-1-1-1-11-111-11-111111-1-1-1-1-1-1-1-1-1111
χ71111111111-111-111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-11111-11-1-11-11-1-1-1-1-1111-1-1-1-111-111
χ81111111111-111-111111111111-11-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-11-111-1-1-1-1111111111-1-11-1-1
χ9111111111-111-111-1-1111-1-1111-1-11-1-11-1-11-1-111-1-1-1-1-11111-1-111111111-11-11-11-11-1-1-1-11-1-111-1-11-111-1
χ10111111111-111-111-1-1111-1-1111-1-11-1-11-1-11-1-111-1-1-1-1-11111-1-111111111-1-111-1-111-1-1111-1-1-1-111-11-1-11
χ11111111111-111-111-1-1111-1-1111-1-11-1-11-1-11-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1111-11-11
χ12111111111-111-111-1-1111-1-1111-1-11-1-11-1-11-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-11-11-11111-11111-1-1-11-11-1
χ13111111111-1-11-1-11-1-1111-1-11111-1-111-1111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-1-11111-1-11-1-111-11111-1-11-1-1-11
χ14111111111-1-11-1-11-1-1111-1-11111-1-111-1111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1111-1
χ15111111111-1-11-1-11-1-1111-1-11111-1-111-1111-1-1-1-11111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111111-1-1-1-1111-1-11-1
χ16111111111-1-11-1-11-1-1111-1-11111-1-111-1111-1-1-1-11111-1-1-111-1-1-1-1-1-111111-1-1-1-111-111-1-11-1-111-1-1-111-11
χ172222-1222-122-122-1-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1200-1200-1-1-100-1-1-1000000000
χ182222-1222-122-122-1-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-2001-20011100111000000000
χ192222-1222-12-2-12-2-1-1-12-1-1-1-122-1-22-2-2-2111-1-1-11111112-21-1-1-1-11122-2-211200-1-200-1-1-100111000000000
χ202222-1222-12-2-12-2-1-1-12-1-1-1-122-1-22-2-2-2111-1-1-11111112-21-1-1-1-111-2-222-1-1-200120011100-1-1-1000000000
χ212222-1222-1-22-1-22-1112-1-11122-1-2-22-2-2-111-111-1-11111-22-1-1-111-1-12222-1-1-200-1-200-11100-111000000000
χ222222-1222-1-22-1-22-1112-1-11122-1-2-22-2-2-111-111-1-11111-22-1-1-111-1-1-2-2-2-21120012001-1-1001-1-1000000000
χ232222-1222-1-2-2-1-2-2-1112-1-11122-12-2-2221-1-1-11111-1-1-1-1-2-21-1-1111122-2-211-200-1200-111001-1-1000000000
χ242222-1222-1-2-2-1-2-2-1112-1-11122-12-2-2221-1-1-11111-1-1-1-1-2-21-1-11111-2-222-1-12001-2001-1-100-111000000000
χ25222-1222-1222-122222-1-1222-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-10000000220022000-1-10000000-1-1-100
χ26222-1222-1222-122222-1-1222-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-10000000-2-200-2-200011000000011100
χ27222-1222-122-2-12-2222-1-1222-1-12-2-1111-2-2-2-1-1-1111111-11-2-1-1-1-11100000002-200-22000110000000-1-1100
χ28222-1222-122-2-12-2222-1-1222-1-12-2-1111-2-2-2-1-1-1111111-11-2-1-1-1-1110000000-22002-2000-1-1000000011-100
χ29222-1222-12-22-1-222-2-2-1-12-2-2-1-12-21-1112-2-2-111-1-111111-12-1-111-1-100000002-2002-2000110000000-11-100
χ30222-1222-12-22-1-222-2-2-1-12-2-2-1-12-21-1112-2-2-111-1-111111-12-1-111-1-10000000-2200-22000-1-100000001-1100
χ31222-1222-12-2-2-1-2-22-2-2-1-12-2-2-1-12211-1-1-222-11111-1-1-1-111-2-1-1111100000002200-2-2000-1-10000000-11100
χ32222-1222-12-2-2-1-2-22-2-2-1-12-2-2-1-12211-1-1-222-11111-1-1-1-111-2-1-111110000000-2-200220001100000001-1-100
χ3322-2222-2220220-2-200-22-2002-2200200200-2002200000-2-22-200-2-22-22-2-2-20002000-20000200000000000
χ3422-2222-2220220-2-200-22-2002-2200200200-2002200000-2-22-200-2-2-22-2222000-200020000-200000000000
χ3522-2222-2220-2202-200-22-2002-2200-200-200-200-2-200000222-200222-2-22220002000-20000-200000000000
χ3622-2222-2220-2202-200-22-2002-2200-200-200-200-2-200000222-20022-222-2-2-2000-200020000200000000000
χ3722-222-2222202-20-222-222-2-2-22-202000000-222000000-200-22-2-2000000000000000000000002-22-200000
χ3822-222-2222202-20-222-222-2-2-22-202000000-222000000-200-22-2-200000000000000000000000-22-2200000
χ3922-222-2222-20220-2-2-2-22222-22-20-2000000-2-2-2000000200-2222000000000000000000000002-2-2200000
χ4022-222-2222-20220-2-2-2-22222-22-20-2000000-2-2-2000000200-222200000000000000000000000-222-200000
χ4122-22-12-22-102-10-21−i3i3-2-11−i3i32-2-100200-1−i3i31−i3i3-1-1−i3−i3i3i30-21-11−i3i3112-22-211000-10001−i3i300-1−i3i3000000000
χ4222-22-12-22-102-10-21−i3i3-2-11−i3i32-2-100200-1−i3i31−i3i3-1-1−i3−i3i3i30-21-11−i3i311-22-22-1-10001000-1i3−i3001i3−i3000000000
χ4322-22-12-22-102-10-21i3−i3-2-11i3−i32-2-100200-1i3−i31i3−i3-1-1i3i3−i3−i30-21-11i3−i3112-22-211000-10001i3−i300-1i3−i3000000000
χ4422-22-12-22-102-10-21i3−i3-2-11i3−i32-2-100200-1i3−i31i3−i3-1-1i3i3−i3−i30-21-11i3−i311-22-22-1-10001000-1−i3i3001−i3i3000000000
χ4522-22-12-22-10-2-1021−i3i3-2-11−i3i32-2-100-2001i3−i31−i3i311i3i3−i3−i302-1-11−i3i3-1-12-2-22-1-1000-10001−i3i3001i3−i3000000000
χ4622-22-12-22-10-2-1021−i3i3-2-11−i3i32-2-100-2001i3−i31−i3i311i3i3−i3−i302-1-11−i3i3-1-1-222-2110001000-1i3−i300-1−i3i3000000000
χ4722-22-12-22-10-2-1021i3−i3-2-11i3−i32-2-100-2001−i3i31i3−i311−i3−i3i3i302-1-11i3−i3-1-12-2-22-1-1000-10001i3−i3001−i3i3000000000
χ4822-22-12-22-10-2-1021i3−i3-2-11i3−i32-2-100-2001−i3i31i3−i311−i3−i3i3i302-1-11i3−i3-1-1-222-2110001000-1−i3i300-1i3−i3000000000
χ4944444-4-4440040040044-400-4-4-400000000400000000000-4-40000000000000000000000000000000000
χ504444-2-4-44-200-200-2−2i32i34-222i3−2i3-4-4200000000-2−2i32i3000000000222i3−2i300000000000000000000000000000000
χ514444-2-4-44-200-200-22i3−2i34-22−2i32i3-4-4200000000-22i3−2i300000000022−2i32i300000000000000000000000000000000
χ52444-24-4-4-2400-200400-2-2-40022-4000−2i32i3000-20000−2i32i3−2i32i3000220000000000000000000000000000000000
χ53444-24-4-4-2400-200400-2-2-40022-40002i3−2i3000-200002i3−2i32i3−2i3000220000000000000000000000000000000000
χ54444-2-244-2-244144-2-2-2-21-2-2-2-2-2-24-2-2-2-2-2-2-2111111111-2-2-2111111000000000000000000000000000000
χ55444-2-244-2-24-414-4-2-2-2-21-2-2-2-2-2-2-4-2222222111-1-1-1-1-1-1-2221111-1-1000000000000000000000000000000
χ56444-2-244-2-2-441-44-222-21-222-2-2-2-42-222-2221-1-111-1-1-1-12-2-211-1-111000000000000000000000000000000
χ57444-2-244-2-2-4-41-4-4-222-21-222-2-2-2422-2-22-2-21-1-1-1-1111122211-1-1-1-1000000000000000000000000000000
χ58444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i3222000−2i32i30001i3−i33-3i3−i3i3−i3000-1-1−i3i33-3000000000000000000000000000000
χ59444-2-2-4-4-2-200100-2−2i32i3-2122i3−2i32220002i3−2i30001i3−i3-33−i3i3−i3i3000-1-1−i3i3-33000000000000000000000000000000
χ60444-2-2-4-4-2-200100-22i3−2i3-212−2i32i3222000−2i32i30001−i3i3-33i3−i3i3−i3000-1-1i3−i3-33000000000000000000000000000000
χ61444-2-2-4-4-2-200100-22i3−2i3-212−2i32i32220002i3−2i30001−i3i33-3−i3i3−i3i3000-1-1i3−i33-3000000000000000000000000000000
χ6244-44-2-444-240-2-402-2-2-4-2-222-442040000002-2-2000000-4002-22200000000000000000000000000000000
χ6344-44-2-444-2-40-240222-4-2-2-2-2-4420-40000002220000004002-2-2-200000000000000000000000000000000
χ6444-4-244-4-2404-20-4-4002-2-400-22400-200400200-2-2000002-4-220022000000000000000000000000000000
χ6544-4-244-4-240-4-204-4002-2-400-22400200-4002002200000-24-2200-2-2000000000000000000000000000000
χ6644-4-24-44-2440-2-40-4442-24-4-42-2-40-20000002-2-20000002002-22200000000000000000000000000000000
χ6744-4-24-44-24-40-240-4-4-42-24442-2-402000000222000000-2002-2-2-200000000000000000000000000000000
χ6844-4-2-24-4-2-20410-42−2i32i3212−2i32i3-22-200-200-2−2i32i3-1i3−i311i3i3−i3−i30221-1i3−i3-1-1000000000000000000000000000000
χ6944-4-2-24-4-2-20410-422i3−2i32122i3−2i3-22-200-200-22i3−2i3-1−i3i311−i3−i3i3i30221-1−i3i3-1-1000000000000000000000000000000
χ7044-4-2-24-4-2-20-41042−2i32i3212−2i32i3-22-20020022i3−2i3-1i3−i3-1-1−i3−i3i3i30-2-21-1i3−i311000000000000000000000000000000
χ7144-4-2-24-4-2-20-410422i3−2i32122i3−2i3-22-2002002−2i32i3-1−i3i3-1-1i3i3−i3−i30-2-21-1−i3i311000000000000000000000000000000
χ7244-4-2-2-44-2-2401-402-2-221-2222-220-2000000-1113-3-333-3200-11-1-1-33000000000000000000000000000000
χ7344-4-2-2-44-2-2401-402-2-221-2222-220-2000000-111-333-3-33200-11-1-13-3000000000000000000000000000000
χ7444-4-2-2-44-2-2-4014022221-2-2-22-2202000000-1-1-13-33-3-33-200-1111-33000000000000000000000000000000
χ7544-4-2-2-44-2-2-4014022221-2-2-22-2202000000-1-1-1-33-333-3-200-11113-3000000000000000000000000000000
χ768-808800-8-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ778-808-400-8400-4000000400000000000000000000000000000000000026−26000000000000000000000000
χ788-808-400-8400-40000004000000000000000000000000000000000000−2626000000000000000000000000
χ798-80-48004-800-4000000400000000000000000000000000000000000000000000000023−23000000000000
χ808-80-48004-800-40000004000000000000000000000000000000000000000000000000−2323000000000000
χ8116-160-8-80088004000000-400000000000000000000000000000000000000000000000000000000000000

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