Finite Group Databasebeta

← Group #11921937

Character table — Group #11921937

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222222334466666668888121212121616161616161616161624242424242424242424242436364848484872727272
order122344612122261224466121236664461236661212121212128888242424242424242444121212122444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11-1111111-1-1-1-1111111-1-111-1-1-11-1-111-111-1-11-11-111-1-111-1-11-111-1-11-11-1
χ611-11-1111111-1-1-1-1111111-1-111-1-1-11-1-111-111-1-1-11-11-1-111-1-1111-111-1-1-11-11
χ711-11-1111111-1-1-1-1111111-1-11-11-1-11-1-111-111-1-11-11-111-1-111-1-1-11-1-111-11-11
χ811-11-1111111-1-1-1-1111111-1-11-11-1-11-1-111-111-1-1-11-11-1-111-1-111-11-1-1111-11-1
χ922222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1022222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ112222-2-22-2-2222-22-2-222-2-22222002-22222-2-2-2-2-2-20000000000000000000000
χ122222-2-22-2-2222-22-2-222-2-2-1-1-1-1002-2-1-1-1-111111100000000000000−i3i3−i3i30000
χ132222-2-22-2-2222-22-2-222-2-2-1-1-1-1002-2-1-1-1-111111100000000000000i3−i3i3−i30000
χ14222-122-1-1-122-1-1222-1-1-1-1222200-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222-122-1-1-122-1-1222-1-1-1-1222200-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000
χ16222-1-2-2-11122-112-2-2-1-111222200-11-1-1-1-1-2-2111100003−33−33−33−30000000000
χ17222-1-2-2-11122-112-2-2-1-111222200-11-1-1-1-1-2-211110000−33−33−33−330000000000
χ1822-222-22-2-222-22-22-222-2-22-2-2200-222-2-22-22-2-2220000000000000000000000
χ1922-222-22-2-222-22-22-222-2-2-111-100-22-111-11-111-1-100000000000000−i3i3i3−i30000
χ2022-222-22-2-222-22-22-222-2-2-111-100-22-111-11-111-1-100000000000000i3−i3−i3i30000
χ2122-22-2222222-2-2-2-222222-111-12-2-2-2-111-1-11-1-1110000000000002-2-1-1110000
χ2222-22-2222222-2-2-2-222222-111-1-22-2-2-111-1-11-1-111000000000000-2211-1-10000
χ2322-2-12-2-111221-1-22-2-1-1112-2-22001-1-111-1-2211-1-100003−3−333−3−330000000000
χ2422-2-12-2-111221-1-22-2-1-1112-2-22001-1-111-1-2211-1-10000−333−3−333−30000000000
χ2522-2-1-22-1-1-12211-2-22-1-1-1-12-2-220011-111-12-2-1-1112-22-2-1-111-1-1110000000000
χ2622-2-1-22-1-1-12211-2-22-1-1-1-12-2-220011-111-12-2-1-111-22-2211-1-111-1-10000000000
χ27333333333-1-133-1-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-1000011-1-1
χ28333333333-1-133-1-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-10000-1-111
χ29333333333-1-133-1-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-1110000-1-111
χ30333333333-1-133-1-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-1111111000011-1-1
χ3133-33-33333-1-1-3-311-1-1-1-1-100003-31100000000001-1-1111-1-1-1-111-1100001-1-11
χ3233-33-33333-1-1-3-311-1-1-1-1-100003-3110000000000-111-1-1-11111-1-1-110000-111-1
χ3333-33-33333-1-1-3-311-1-1-1-1-10000-331100000000001-1-1111-1-1-1-1111-10000-111-1
χ3433-33-33333-1-1-3-311-1-1-1-1-10000-33110000000000-111-1-1-11111-1-11-100001-1-11
χ35444-244-2-2-244-2-2444-2-2-2-2-2-2-2-200-2-21111-2-211110000000000000000000000
χ36444-2-4-4-22244-224-4-4-2-222-2-2-2-200-22111122-1-1-1-10000000000000000000000
χ3744-4-24-4-222442-2-44-4-2-222-222-2002-21-1-112-2-1-1110000000000000000000000
χ3844-4-2-44-2-2-24422-4-44-2-2-2-2-222-200221-1-11-2211-1-10000000000000000000000
χ394-40400-4004-4000004-400400-40000400-40000000000000000000000000000
χ404-40400-4004-4000004-400-2−2i32i320000-2−2i32i320000000000000000000000000000
χ414-40400-4004-4000004-400-22i3−2i320000-22i3−2i320000000000000000000000000000
χ424-40-200223−234-400000-2223−23400-40000-20020023−23000000000000000000000000
χ434-40-200223−234-400000-2223−23-2−2i32i3200001i3−i3-100−333i−3i0000000000000000000000
χ444-40-200223−234-400000-2223−23-22i3−2i3200001−i3i3-100−33−3i3i0000000000000000000000
χ454-40-2002−23234-400000-22−2323400-40000-200200−2323000000000000000000000000
χ464-40-2002−23234-400000-22−2323-2−2i32i3200001i3−i3-1003−3−3i3i0000000000000000000000
χ474-40-2002−23234-400000-22−2323-22i3−2i3200001−i3i3-1003−33i−3i0000000000000000000000
χ486666-6-66-6-6-2-26-6-222-2-222000000-2200000000000000000000000000000000
χ49666-366-3-3-3-2-2-3-3-2-2-2111100000011000000000022-2-2-1-1-1-111110000000000
χ50666-366-3-3-3-2-2-3-3-2-2-21111000000110000000000-2-2221111-1-1-1-10000000000
χ51666-3-6-6-333-2-2-33-22211-1-10000001-1000000000000003−33−3−33−330000000000
χ52666-3-6-6-333-2-2-33-22211-1-10000001-100000000000000−33−333−33−30000000000
χ5366-666-66-6-6-2-2-662-22-2-2220000002-200000000000000000000000000000000
χ5466-6-36-6-333-2-23-32-2211-1-1000000-11000000000000003−3−33−333−30000000000
χ5566-6-36-6-333-2-23-32-2211-1-1000000-1100000000000000−333−33−3−330000000000
χ5666-6-3-66-3-3-3-2-23322-21111000000-1-100000000002-2-22-1-11111-1-10000000000
χ5766-6-3-66-3-3-3-2-23322-21111000000-1-10000000000-222-211-1-1-1-1110000000000
χ5812-1201200-1200-4400000-44000000000000000000000000000000000000000000
χ5912-120-600663−63-44000002-2−23230000000000000000000000000000000000000000
χ6012-120-6006−6363-44000002-223−230000000000000000000000000000000000000000

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