Finite Group Databasebeta

← Group #11778331

Character table — Group #11778331

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444444444488888888888888888888888824242424242424242424242424242424363648484848727272
order122222336666663446666666666612121212441212121212121212121212121212121212121212121222448888242424242424242444661212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-11-11-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-11-11-1-111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-11-11-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-1
χ9222222222222222-2-222222222222-2-2-2-200-2-200000000-2-2-2-2000000000000000000000000220000-200
χ10222222222222222-2-222222222222-2-2-2-200-2-200000000-2-2-2-2000000000000000000000000-2-20000200
χ112222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-122-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200220000-1-1-1-1000-10-1000
χ122222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-122-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-200001111000101000
χ132222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-2-2-21111-1-1-1-111111111020200-2-200001111000-10-1000
χ142222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-2-2-21111-1-1-1-1111111110-20-200220000-1-1-1-1000101000
χ15222222-12-12-1-122-122-1-122-1-1-1-1-1-1-1-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-120202200-1-1-1-1000000-10-10000
χ16222222-12-12-1-122-122-1-122-1-1-1-1-1-1-1-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-20011110000001010000
χ17222222-12-12-1-122-122-1-122-1-1-1-1-1-1-1-1-122-2-2-121111-2-2-2-2-1-1-1-1111111112020-2-2001111000000-10-10000
χ18222222-12-12-1-122-122-1-122-1-1-1-1-1-1-1-1-122-2-2-121111-2-2-2-2-1-1-1-111111111-20-202200-1-1-1-10000001010000
χ192222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-200-220000000022-2-20000000020-200000000000000020-20000
χ202222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-200-220000000022-2-200000000-202000000000000000-2020000
χ212222-2-2222222222-22-2-2-2-222-2-2-2-22-2-222002-200000000-2-22200000000020-200000000000000020-2000
χ222222-2-2222222222-22-2-2-2-222-2-2-2-22-2-222002-200000000-2-222000000000-202000000000000000-202000
χ232222-2-22-12-122-1-1-1-22-2-211-1-11111-1-2-2-1-100210000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i3020-200000000−i3−i3i3i3000-101000
χ242222-2-22-12-122-1-1-1-22-2-211-1-11111-1-2-2-1-100210000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i30-20200000000i3i3−i3−i300010-1000
χ252222-2-22-12-122-1-1-1-22-2-211-1-11111-1-2-2-1-100210000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i3020-200000000i3i3−i3−i3000-101000
χ262222-2-22-12-122-1-1-1-22-2-211-1-11111-1-2-2-1-100210000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i30-20200000000−i3−i3i3i300010-1000
χ272222-2-2-12-12-1-122-12-211-2-2-1-11111-1-1-1-2-20012−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i320-200000−i3−i3i3i3000000-1010000
χ282222-2-2-12-12-1-122-12-211-2-2-1-11111-1-1-1-2-20012−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3-20200000i3i3−i3−i300000010-10000
χ292222-2-2-12-12-1-122-12-211-2-2-1-11111-1-1-1-2-20012i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i320-200000i3i3−i3−i3000000-1010000
χ302222-2-2-12-12-1-122-12-211-2-2-1-11111-1-1-1-2-20012i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3-20200000−i3−i3i3i300000010-10000
χ312-2-222-222-2-22-22-22002-22-22-222-2-2-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20000000
χ322-2-222-222-2-22-22-22002-22-22-222-2-2-200000000000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2-220000000
χ332-2-222-222-2-22-22-22002-22-22-222-2-2-200000000000000000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2-220000000
χ342-2-222-222-2-22-22-22002-22-22-222-2-2-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20000000
χ354444444-24-244-2-2-2-4-444-2-2-2-2-2-2-2-2-2-4-42200-42000000002222000000000000000000000000000000000
χ36444444-24-24-2-244-2-4-4-2-244-2-2-2-2-2-2-222-4-4002-4000000002222000000000000000000000000000000000
χ37444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000
χ38444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000
χ39444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211111112222002200000000-1-1-1-133-3-3-3-3330000000000000000000000000
χ40444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211111112222002200000000-1-1-1-1-3-33333-3-30000000000000000000000000
χ414444-4-44-24-244-2-2-24-4-4-422-2-22222-2442200-4-200000000-2-222000000000000000000000000000000000
χ424444-4-4-24-24-2-244-2-4422-4-4-2-22222-2224400-2-40000000022-2-2000000000000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-222002-2−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-222002-22i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000
χ454444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-200-220000−2i3−2i32i32i3-1-111i3i3i3i3−i3−i3−i3−i30000000000000000000000000
χ464444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-200-2200002i32i3−2i3−2i3-1-111−i3−i3−i3−i3i3i3i3i30000000000000000000000000
χ4744-4-4004444-4-4-4-44000000-440000-40000000000000000000000000000000000000000000000000002-2
χ4844-4-4004444-4-4-4-44000000-440000-4000000000000000000000000000000000000000000000000000-22
χ494-44-40044-4-4-44-444000000-4-40000400002-2002-22-22-22-200002-22-22-22-20000000000000000000000000
χ504-44-40044-4-4-44-444000000-4-4000040000-2200-22-22-22-220000-22-22-22-220000000000000000000000000
χ514-44-4004-2-42-442-2-2000000220000-200−2i32i32-2002-22-2−1−i31+i3−1+i31−i300−2i32i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000000
χ524-44-4004-2-42-442-2-2000000220000-200−2i32i3-2200-22-221+i3−1−i31−i3−1+i300−2i32i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000000
χ534-44-4004-2-42-442-2-2000000220000-2002i3−2i32-2002-22-2−1+i31−i3−1−i31+i3002i3−2i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000000
χ544-44-4004-2-42-442-2-2000000220000-2002i3−2i3-2200-22-221−i3−1+i31+i3−1−i3002i3−2i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000000
χ554-44-400-242-42-2-44-2000000220000-2−2i32i3002-200−1−i31+i3−1+i31−i32-22-2−2i32i300−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000
χ564-44-400-242-42-2-44-2000000220000-2−2i32i300-22001+i3−1−i31−i3−1+i3-22-22−2i32i3001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000
χ574-44-400-242-42-2-44-2000000220000-22i3−2i3002-200−1+i31−i3−1−i31+i32-22-22i3−2i300−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000
χ584-44-400-242-42-2-44-2000000220000-22i3−2i300-22001−i3−1+i31+i3−1−i3-22-222i3−2i3001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000
χ594-44-400-2-2222-22-21000000-1-13-33-31−2i32i3−2i32i32-200−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3i3−i3i3−i32+i3−2−i3-11-112−i3−2+i30000000000000000000000000
χ604-44-400-2-2222-22-21000000-1-13-33-31−2i32i3−2i32i3-22001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3i3−i3i3−i3−2−i32+i31-11-1−2+i32−i30000000000000000000000000
χ614-44-400-2-2222-22-21000000-1-13-33-312i3−2i32i3−2i32-200−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−i3i3−i3i32−i3−2+i3-11-112+i3−2−i30000000000000000000000000
χ624-44-400-2-2222-22-21000000-1-13-33-312i3−2i32i3−2i3-22001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3−i3i3−i3i3−2+i32−i31-11-1−2−i32+i30000000000000000000000000
χ634-44-400-2-2222-22-21000000-1-1-33-331−2i32i32i3−2i32-200−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3i3−i3−i3i3-112−i3−2+i32+i3−2−i3-110000000000000000000000000
χ644-44-400-2-2222-22-21000000-1-1-33-331−2i32i32i3−2i3-22001+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3i3−i3−i3i31-1−2+i32−i3−2−i32+i31-10000000000000000000000000
χ654-44-400-2-2222-22-21000000-1-1-33-3312i3−2i3−2i32i32-200−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−i3i3i3−i3-112+i3−2−i32−i3−2+i3-110000000000000000000000000
χ664-44-400-2-2222-22-21000000-1-1-33-3312i3−2i3−2i32i3-22001−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3−i3i3i3−i31-1−2−i32+i3−2+i32−i31-10000000000000000000000000
χ674-4-444-44-2-424-4-22-2004-4-22-22-2-22220000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ684-4-444-44-2-424-4-22-2004-4-22-22-2-222200000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ694-4-444-4-242-4-224-4-200-224-4-22-2-222200000000000000000000000000000000−2i22i200i2−i2i2−i20000000000000
χ704-4-444-4-242-4-224-4-200-224-4-22-2-2222000000000000000000000000000000002i2−2i200−i2i2−i2i20000000000000
χ714-4-44-4444-4-44-44-4400-44-444-4-4-444-400000000000000000000000000000000000000000000000000000
χ724-4-44-444-2-424-4-22-200-442-2-2222-2-2200000000000000000000000000000000000000006−6−66000000000
χ734-4-44-444-2-424-4-22-200-442-2-2222-2-220000000000000000000000000000000000000000−666−6000000000
χ744-4-44-44-242-4-224-4-2002-2-44-2222-2-220000000000000000000000000000000000006−6−660000000000000
χ754-4-44-44-242-4-224-4-2002-2-44-2222-2-22000000000000000000000000000000000000−666−60000000000000
χ7688-8-8008-48-4-8-844-40000004-40000400000000000000000000000000000000000000000000000000000
χ7788-8-800-48-4844-8-8-40000004-40000400000000000000000000000000000000000000000000000000000
χ7888-8-800-4-4-4-444442000000-226-6-66-200000000000000000000000000000000000000000000000000000
χ7988-8-800-4-4-4-444442000000-22-666-6-200000000000000000000000000000000000000000000000000000
χ808-8-888-8-4-444-44-44200-44-442-222-2-2-200000000000000000000000000000000000000000000000000000
χ818-8-88-88-4-444-44-442004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000

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