Finite Group Databasebeta

← Group #11922975

Character table — Group #11922975

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222444444446688888888888812121212121616161616161616161616161616161616162424243636363636367272727272
order12223446664412121212121244333666666666444121212121212121212121212121212121212121212121244888844488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1
χ41111111111-1-111-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ511111-1-11111-1-1-111-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-1-11-11-1
χ611111-1-11111-1-1-111-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1111-11-11
χ711111-1-1111-11-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-11
χ811111-1-1111-11-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-11111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200000000000
χ102222222222-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-222-1-1-1-1-1-11111111111112-2-200000000000
χ1122222-2-22222-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-222111111-1-1-1-1-1-1111111-22-200000000000
χ1222222-2-2222-22-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222111111111111-1-1-1-1-1-1-2-2200000000000
χ132222-122-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-100000000000
χ142222-122-1-1-122-1-1-1-1-1-122-12-1-1-122-1-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-100000000000
χ152222-122-1-1-122-1-1-1-1-1-122-1-12-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-100000000000
χ162222-122-1-1-1-2-2-1-11111222-1-122-1-1-1-12-1-12-2-2-1-122-1-1-1-1-2-21111-2-21111-11100000000000
χ172222-122-1-1-1-2-2-1-1111122-12-1-1-122-1-1-12-12-2-2-1-1-1-122-1-111-2-21111-2-211-11100000000000
χ182222-122-1-1-1-2-2-1-1111122-1-12-1-1-1-122-1-122-2-2-1-1-1-1-1-1221111-2-21111-2-2-11100000000000
χ192222-1-2-2-1-1-12-211-1-111222-1-122-1-1-1-12-1-1-22-2-1-1-2-2111122-1-1-1-1-2-211111-1100000000000
χ202222-1-2-2-1-1-12-211-1-11122-12-1-1-122-1-1-12-1-22-2-1-111-2-211-1-122-1-111-2-2111-1100000000000
χ212222-1-2-2-1-1-12-211-1-11122-1-12-1-1-1-122-1-12-22-2-1-11111-2-2-1-1-1-1221111-2-21-1100000000000
χ222222-1-2-2-1-1-1-221111-1-1222-1-122-1-1-1-12-1-1-2-22-1-1-2-21111-2-2111122-1-1-1-111-100000000000
χ232222-1-2-2-1-1-1-221111-1-122-12-1-1-122-1-1-12-1-2-22-1-111-2-21111-2-211-1-122-1-111-100000000000
χ242222-1-2-2-1-1-1-221111-1-122-1-12-1-1-1-122-1-12-2-22-1-11111-2-21111-2-2-1-1-1-12211-100000000000
χ2522-2-22002-2-2000000002-22222-22-22-2-2-2-20002-20000000000000000000002-22-20000000
χ2622-2-22002-2-2000000002-22222-22-22-2-2-2-20002-2000000000000000000000-22-220000000
χ27333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-111-1-1-1-1111-1-1
χ28333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-1-1-11111-1-1-111
χ293333333333-3-333-3-3-3-3-1-1000000000000-111-1-1000000000000000000-11111-1-1-1-11-1-111
χ303333333333-3-333-3-3-3-3-1-1000000000000-111-1-1000000000000000000-111-1-11111-111-1-1
χ3133333-3-33333-3-3-333-3-3-1-10000000000001-11-1-10000000000000000001-1111-1-111-11-1-11
χ3233333-3-33333-3-3-333-3-3-1-10000000000001-11-1-10000000000000000001-11-1-111-1-11-111-1
χ3333333-3-3333-33-3-3-3-333-1-100000000000011-1-1-100000000000000000011-111-1-111-1-111-1
χ3433333-3-3333-33-3-3-3-333-1-100000000000011-1-1-100000000000000000011-1-1-111-1-111-1-11
χ3544-4-44004-4-4000000004-4-2-2-2-22-22-222220004-400000000000000000000000000000000
χ3644-4-4-200-222000000004-44-2-24-4-22-22-422000-2200000000000000000000000000000000
χ3744-4-4-200-222000000004-4-24-2-224-4-222-42000-2200000000000000000000000000000000
χ3844-4-4-200-222000000004-4-2-24-22-224-422-4000-2200000000000000000000000000000000
χ394-44-4400-4-440000000000-2-2-22-22-22-2222000000000000000000000000000000−2i22i200000
χ404-44-4400-4-440000000000-2-2-22-22-22-22220000000000000000000000000000002i2−2i200000
χ414-4-4444-4-44-4004-4000000111-1-1-1-1-1-1111000001-11-11-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000
χ424-4-4444-4-44-4004-4000000111-1-1-1-1-1-1111000001-11-11-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000
χ434-4-4444-4-44-4004-4000000-2-2-2222222-2-2-200000-22-22-2200000000000000000000000000
χ444-4-444-44-44-400-44000000111-1-1-1-1-1-111100000-11-11-11−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300000000000000
χ454-4-444-44-44-400-44000000111-1-1-1-1-1-111100000-11-11-11i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300000000000000
χ464-4-444-44-44-400-44000000-2-2-2222222-2-2-2000002-22-22-200000000000000000000000000
χ474-4-44-24-42-2200-22−2i32i3−2i32i30011-2-1-1-1-12211-2000001-11-1-22−i3i3i3−i300−i3i3i3−i30000000000000000
χ484-4-44-24-42-2200-22−2i32i3−2i32i3001-21-1-122-1-11-21000001-1-221-1i3−i300−i3i3i3−i300−i3i300000000000000
χ494-4-44-24-42-2200-22−2i32i3−2i32i300-21122-1-1-1-1-21100000-221-11-100−i3i3i3−i300−i3i3i3−i300000000000000
χ504-4-44-24-42-2200-222i3−2i32i3−2i30011-2-1-1-1-12211-2000001-11-1-22i3−i3−i3i300i3−i3−i3i30000000000000000
χ514-4-44-24-42-2200-222i3−2i32i3−2i3001-21-1-122-1-11-21000001-1-221-1−i3i300i3−i3−i3i300i3−i300000000000000
χ524-4-44-24-42-2200-222i3−2i32i3−2i300-21122-1-1-1-1-21100000-221-11-100i3−i3−i3i300i3−i3−i3i300000000000000
χ534-4-44-2-442-22002-2−2i32i32i3−2i30011-2-1-1-1-12211-200000-11-112-2−i3i3i3−i300i3−i3−i3i30000000000000000
χ544-4-44-2-442-22002-2−2i32i32i3−2i3001-21-1-122-1-11-2100000-112-2-11i3−i300−i3i3−i3i300i3−i300000000000000
χ554-4-44-2-442-22002-2−2i32i32i3−2i300-21122-1-1-1-1-211000002-2-11-1100−i3i3i3−i300i3−i3−i3i300000000000000
χ564-4-44-2-442-22002-22i3−2i3−2i32i30011-2-1-1-1-12211-200000-11-112-2i3−i3−i3i300−i3i3i3−i30000000000000000
χ574-4-44-2-442-22002-22i3−2i3−2i32i3001-21-1-122-1-11-2100000-112-2-11−i3i300i3−i3i3−i300−i3i300000000000000
χ584-4-44-2-442-22002-22i3−2i3−2i32i300-21122-1-1-1-1-211000002-2-11-1100i3−i3−i3i300−i3i3i3−i300000000000000
χ596666-366-3-3-366-3-3-3-3-3-3-2-2000000000000-2-2-21100000000000000000011100000000000
χ606666-366-3-3-3-6-6-3-33333-2-2000000000000-222110000000000000000001-1-100000000000
χ616666-3-6-6-3-3-36-633-3-333-2-20000000000002-2211000000000000000000-11-100000000000
χ626666-3-6-6-3-3-3-663333-3-3-2-200000000000022-211000000000000000000-1-1100000000000
χ6366-6-66006-6-600000000-22000000000000000-220000000000000000000002-2-220000000
χ6466-6-66006-6-600000000-22000000000000000-22000000000000000000000-222-20000000
χ658-88-8800-8-880000000000222-22-22-22-2-2-20000000000000000000000000000000000000
χ668-88-8-40044-4000000000022-4-22-224-4-2-240000000000000000000000000000000000000
χ678-88-8-40044-400000000002-42-224-4-22-24-20000000000000000000000000000000000000
χ688-88-8-40044-40000000000-4224-4-22-224-2-20000000000000000000000000000000000000
χ691212-12-12-600-66600000000-440000000000000002-200000000000000000000000000000000

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