Finite Group Databasebeta

← Group #11923076

Character table — Group #11923076

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444466668888888888881212121212121212121216161616161616161616161616161616161636363636727272727272
order12223446664412121212121222443336666666662266666612121212121212121212121212121212121212128888444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111-1-1-111-1-1-1-1111111111111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11-11-1
χ611111-1-11111-1-1-111-1-1-1-1111111111111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11
χ711111-1-1111-11-1-1-1-111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-11
χ811111-1-1111-11-1-1-1-111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-11-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-1-1-1-1-1-11111111111110000000000
χ1122222-2-22222-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-2-222111111-1-1-1-1-1-11111110000000000
χ1222222-2-2222-22-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-22222111111111111-1-1-1-1-1-10000000000
χ132222-122-1-1-122-1-1-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-122-1-1-1-1-1-12222-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-10000000000
χ152222-122-1-1-122-1-1-1-1-1-12222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000000000
χ162222-122-1-1-1-2-2-1-1111122222-1-122-1-1-1-12-1-1-2-2-1-11111-1-122-1-1-1-1-2-21111-2-211110000000000
χ172222-122-1-1-1-2-2-1-111112222-12-1-1-122-1-1-12-1-2-2-1-11111-1-1-1-122-1-111-2-21111-2-2110000000000
χ182222-122-1-1-1-2-2-1-111112222-1-12-1-1-1-122-1-12-2-2-1-11111-1-1-1-1-1-1221111-2-21111-2-20000000000
χ192222-1-2-2-1-1-12-211-1-111-2-2222-1-122-1-1-1-12-1-12-211-1-111-1-1-2-2111122-1-1-1-1-2-211110000000000
χ202222-1-2-2-1-1-12-211-1-111-2-222-12-1-1-122-1-1-12-12-211-1-111-1-111-2-211-1-122-1-111-2-2110000000000
χ212222-1-2-2-1-1-12-211-1-111-2-222-1-12-1-1-1-122-1-122-211-1-111-1-11111-2-2-1-1-1-1221111-2-20000000000
χ222222-1-2-2-1-1-1-221111-1-1-2-2222-1-122-1-1-1-12-1-1-221111-1-1-1-1-2-21111-2-2111122-1-1-1-10000000000
χ232222-1-2-2-1-1-1-221111-1-1-2-222-12-1-1-122-1-1-12-1-221111-1-1-1-111-2-21111-2-211-1-122-1-10000000000
χ242222-1-2-2-1-1-1-221111-1-1-2-222-1-12-1-1-1-122-1-12-221111-1-1-1-11111-2-21111-2-2-1-1-1-1220000000000
χ252-2-2222-2-2-22002-200002-22-2222-2-2-2-2-2-2222002-200002-22-22-22-20000000000000000000000
χ262-2-2222-2-2-22002-200002-22-2-1-1-1111111-1-1-1002-200002-2-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000
χ272-2-2222-2-2-22002-200002-22-2-1-1-1111111-1-1-1002-200002-2-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000
χ282-2-222-22-2-2200-220000-222-2222-2-2-2-2-2-222200-2200002-2-22-22-220000000000000000000000
χ292-2-222-22-2-2200-220000-222-2-1-1-1111111-1-1-100-2200002-21-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i30000000000
χ302-2-222-22-2-2200-220000-222-2-1-1-1111111-1-1-100-2200002-21-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i30000000000
χ312-2-22-12-211-100-11−i3i3−i3i32-22-22-1-1-2-211112-1-100-11−i3i3−i3i3-112-2-11-1100−i3i3i3−i300−i3i3i3−i30000000000
χ322-2-22-12-211-100-11−i3i3−i3i32-22-2-12-111-2-211-12-100-11−i3i3−i3i3-11-112-2-11i3−i300−i3i3i3−i300−i3i30000000000
χ332-2-22-12-211-100-11−i3i3−i3i32-22-2-1-121111-2-2-1-1200-11−i3i3−i3i3-11-11-112-2−i3i3i3−i300−i3i3i3−i3000000000000
χ342-2-22-12-211-100-11i3−i3i3−i32-22-22-1-1-2-211112-1-100-11i3−i3i3−i3-112-2-11-1100i3−i3−i3i300i3−i3−i3i30000000000
χ352-2-22-12-211-100-11i3−i3i3−i32-22-2-12-111-2-211-12-100-11i3−i3i3−i3-11-112-2-11−i3i300i3−i3−i3i300i3−i30000000000
χ362-2-22-12-211-100-11i3−i3i3−i32-22-2-1-121111-2-2-1-1200-11i3−i3i3−i3-11-11-112-2i3−i3−i3i300i3−i3−i3i3000000000000
χ372-2-22-1-2211-1001-1−i3i3i3−i3-222-22-1-1-2-211112-1-1001-1−i3i3i3−i3-11-221-11-100−i3i3i3−i300i3−i3−i3i30000000000
χ382-2-22-1-2211-1001-1−i3i3i3−i3-222-2-12-111-2-211-12-1001-1−i3i3i3−i3-111-1-221-1i3−i300−i3i3−i3i300i3−i30000000000
χ392-2-22-1-2211-1001-1−i3i3i3−i3-222-2-1-121111-2-2-1-12001-1−i3i3i3−i3-111-11-1-22−i3i3i3−i300i3−i3−i3i3000000000000
χ402-2-22-1-2211-1001-1i3−i3−i3i3-222-22-1-1-2-211112-1-1001-1i3−i3−i3i3-11-221-11-100i3−i3−i3i300−i3i3i3−i30000000000
χ412-2-22-1-2211-1001-1i3−i3−i3i3-222-2-12-111-2-211-12-1001-1i3−i3−i3i3-111-1-221-1−i3i300i3−i3i3−i300−i3i30000000000
χ422-2-22-1-2211-1001-1i3−i3−i3i3-222-2-1-121111-2-2-1-12001-1i3−i3−i3i3-111-11-1-22i3−i3−i3i300−i3i3i3−i3000000000000
χ43333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111
χ44333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-1
χ453333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-10000000000000000001111-1-111-1-1
χ463333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-1000000000000000000-1-1-1-111-1-111
χ4733333-3-33333-3-3-333-3-311-1-1000000000000-1111-1-111-1-100000000000000000011-1-1-11-111-1
χ4833333-3-33333-3-3-333-3-311-1-1000000000000-1111-1-111-1-1000000000000000000-1-1111-11-1-11
χ4933333-3-3333-33-3-3-3-33311-1-10000000000001-11111-1-1-1-100000000000000000011-1-1-111-1-11
χ5033333-3-3333-33-3-3-3-33311-1-10000000000001-11111-1-1-1-1000000000000000000-1-1111-1-111-1
χ5144-4-44004-4-4000000000000-2-2-22-22-22-2222000000000000000000000000000000−2i22i2000000
χ5244-4-44004-4-4000000000000-2-2-22-22-22-22220000000000000000000000000000002i2−2i2000000
χ534-44-4400-44-4000000000000-2-2-2-22-22-222220000000000000000000000000000−2i22i200000000
χ544-44-4400-44-4000000000000-2-2-2-22-22-2222200000000000000000000000000002i2−2i200000000
χ556666-366-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-2111111110000000000000000000000000000
χ566666-366-3-3-3-6-6-3-33333-2-2-2-20000000000002211-1-1-1-1110000000000000000000000000000
χ576666-3-6-6-3-3-36-633-3-33322-2-2000000000000-22-1-111-1-1110000000000000000000000000000
χ586666-3-6-6-3-3-3-663333-3-322-2-20000000000002-2-1-1-1-111110000000000000000000000000000
χ596-6-6666-6-6-66006-60000-22-2200000000000000-220000-220000000000000000000000000000
χ606-6-666-66-6-6600-6600002-2-22000000000000002-20000-220000000000000000000000000000
χ616-6-66-36-633-300-33−3i33i3−3i33i3-22-22000000000000001-1i3−i3i3−i31-10000000000000000000000000000
χ626-6-66-36-633-300-333i3−3i33i3−3i3-22-22000000000000001-1−i3i3−i3i31-10000000000000000000000000000
χ636-6-66-3-6633-3003-3−3i33i33i3−3i32-2-2200000000000000-11i3−i3−i3i31-10000000000000000000000000000
χ646-6-66-3-6633-3003-33i3−3i3−3i33i32-2-2200000000000000-11−i3i3i3−i31-10000000000000000000000000000
χ6588-8-88008-8-8000000000000222-22-22-22-2-2-200000000000000000000000000000000000000
χ6688-8-8-400-44400000000000022-4-22-224-4-2-2400000000000000000000000000000000000000
χ6788-8-8-400-4440000000000002-42-224-4-22-24-200000000000000000000000000000000000000
χ6888-8-8-400-444000000000000-4224-4-22-224-2-200000000000000000000000000000000000000
χ698-88-8800-88-80000000000002222-22-22-2-2-2-200000000000000000000000000000000000000
χ708-88-8-4004-4400000000000022-42-22-2-44-2-2400000000000000000000000000000000000000
χ718-88-8-4004-440000000000002-422-2-442-2-24-200000000000000000000000000000000000000
χ728-88-8-4004-44000000000000-422-442-22-24-2-200000000000000000000000000000000000000

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