Finite Group Databasebeta

← Group #11808252

Character table — Group #11808252

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order1222444423346666661212121212121212666612121212222244442222224444444444666666121212121212121212122444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-111-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-111-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ711111111-111-111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111
χ811111111-111-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1111-1-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-11-111-1-111-1-1
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1111-1-1-1-111
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-11-1-11111-1-1
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-11111-11-1-11111-1-1
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ1822222222-222-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ202222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002-200000000
χ2122-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i000000000000000000000000000000000000002i−2i2-2
χ2222-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i00000000000000000000000000000000000000−2i2i-22
χ2322-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i00000000000000000000000000000000002-22i−2i0000
χ2422-2-22i2i−2i−2i02202-22-2-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i0000000000000000000000000000000000-22−2i2i0000
χ2522-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i000000000000000000000000000000000000002i−2i-22
χ2622-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i00000000000000000000000000000000000000−2i2i2-2
χ2722-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i00000000000000000000000000000000002-2−2i2i0000
χ2822-2-2−2i−2i2i2i02202-22-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i0000000000000000000000000000000000-222i−2i0000
χ292-22-22i−2i2i−2i0220-22-22-2-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i0000002-22i−2i0000000000002-22i−2i0000000000000000
χ302-22-22i−2i2i−2i0220-22-22-2-22i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i000000-22−2i2i000000000000-22−2i2i0000000000000000
χ312-22-22i−2i2i−2i0220-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i00002-2000000002i−2i2-2000000002i−2i00000000000000
χ322-22-22i−2i2i−2i0220-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000-22-22−2i2i−2i2i0000-2200000000−2i2i-2200000000−2i2i00000000000000
χ332-22-2−2i2i−2i2i0220-22-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i0000002-2−2i2i0000000000002-2−2i2i0000000000000000
χ342-22-2−2i2i−2i2i0220-22-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i000000-222i−2i000000000000-222i−2i0000000000000000
χ352-22-2−2i2i−2i2i0220-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-22-222i−2i2i−2i00002-200000000−2i2i2-200000000−2i2i00000000000000
χ362-22-2−2i2i−2i2i0220-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-22-222i−2i2i−2i0000-22000000002i−2i-22000000002i−2i00000000000000
χ372-2-222-2-220220-2-2-2-2222-2-222-2-22000000002-2-222-2-222-2000000002-20000002-2000000002-2000000000000
χ382-2-222-2-220220-2-2-2-2222-2-222-2-22000000002-2-222-2-22-2200000000-22000000-2200000000-22000000000000
χ392-2-222-2-220220-2-2-2-2222-2-222-2-2200000000-222-2-222-2002-2000000002-20000002-2000000002-20000000000
χ402-2-222-2-220220-2-2-2-2222-2-222-2-2200000000-222-2-222-200-2200000000-22000000-2200000000-220000000000
χ412-2-22-222-20220-2-2-2-222-222-2-222-2000000002-2-22-222-22-200000000-220000002-200000000-22000000000000
χ422-2-22-222-20220-2-2-2-222-222-2-222-2000000002-2-22-222-2-22000000002-2000000-22000000002-2000000000000
χ432-2-22-222-20220-2-2-2-222-222-2-222-200000000-222-22-2-22002-200000000-220000002-200000000-220000000000
χ442-2-22-222-20220-2-2-2-222-222-2-222-200000000-222-22-2-2200-22000000002-2000000-22000000002-20000000000
χ454444444441-24-2-2111-21111-2-2-2-211-2-211-2-2000000000000222222000022-1-10000-1-1-1-1-1-100000000000000
χ464444444441-24-2-2111-21111-2-2-2-211-2-211-2-2000000000000-2-2-2-2-2-20000-2-211000011111100000000000000
χ47444444444-21411-2-2-21-2-2-2-21111-2-211-2-21100000000222200000022220000-1-1-1-1000000-1-1-1-10000000000
χ48444444444-21411-2-2-21-2-2-2-21111-2-211-2-21100000000-2-2-2-2000000-2-2-2-20000111100000011110000000000
χ4944444444-41-2-4-2-2111-21111-2-2-2-2-1-122-1-12200000000000022-2-2-2-2000022-1-100001111-1-100000000000000
χ5044444444-41-2-4-2-2111-21111-2-2-2-2-1-122-1-122000000000000-2-222220000-2-2110000-1-1-1-11100000000000000
χ5144444444-4-21-411-2-2-21-2-2-2-2111122-1-122-1-10000000022-2-200000022-2-20000-1-111000000-1-1110000000000
χ5244444444-4-21-411-2-2-21-2-2-2-2111122-1-122-1-100000000-2-222000000-2-222000011-1-100000011-1-10000000000
χ534444-4-4-4-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-1220000000000002222-2-20000-2-2-1-10000-1-1111100000000000000
χ544444-4-4-4-441-2-4-2-2111-2-1-1-1-1222211-2-2-1-122000000000000-2-2-2-22200002211000011-1-1-1-100000000000000
χ554444-4-4-4-44-21-411-2-2-212222-1-1-1-1-2-21122-1-10000000022-2-2000000-2-2220000-1-11100000011-1-10000000000
χ564444-4-4-4-44-21-411-2-2-212222-1-1-1-1-2-21122-1-100000000-2-22200000022-2-2000011-1-1000000-1-1110000000000
χ574444-4-4-4-4-41-24-2-2111-2-1-1-1-12222-1-12211-2-200000000000022-2-2220000-2-2-1-1000011-1-11100000000000000
χ584444-4-4-4-4-41-24-2-2111-2-1-1-1-12222-1-12211-2-2000000000000-2-222-2-2000022110000-1-111-1-100000000000000
χ594444-4-4-4-4-4-21411-2-2-212222-1-1-1-122-1-1-2-211000000002222000000-2-2-2-20000-1-1-1-100000011110000000000
χ604444-4-4-4-4-4-21411-2-2-212222-1-1-1-122-1-1-2-21100000000-2-2-2-2000000222200001111000000-1-1-1-10000000000
χ614-44-44i−4i4i−4i01-202-2-11-12i−ii−i−2i2i−2i2i3-3003i−3i000000000000002-22-22i−2i00002i−2i-110000-11−ii−ii00000000000000
χ624-44-44i−4i4i−4i01-202-2-11-12i−ii−i−2i2i−2i2i3-3003i−3i00000000000000-22-22−2i2i0000−2i2i1-100001-1i−ii−i00000000000000
χ634-44-44i−4i4i−4i01-202-2-11-12i−ii−i−2i2i−2i2i-3300−3i3i000000000000002-2-22−2i2i00002i−2i-1100001-1i−i−ii00000000000000
χ644-44-44i−4i4i−4i01-202-2-11-12i−ii−i−2i2i−2i2i-3300−3i3i00000000000000-222-22i−2i0000−2i2i1-10000-11−iii−i00000000000000
χ654-44-4−4i4i−4i4i01-202-2-11-12−ii−ii2i−2i2i−2i3-300−3i3i000000000000002-22-2−2i2i0000−2i2i-110000-11i−ii−i00000000000000
χ664-44-4−4i4i−4i4i01-202-2-11-12−ii−ii2i−2i2i−2i3-300−3i3i00000000000000-22-222i−2i00002i−2i1-100001-1−ii−ii00000000000000
χ674-44-4−4i4i−4i4i01-202-2-11-12−ii−ii2i−2i2i−2i-33003i−3i000000000000002-2-222i−2i0000−2i2i-1100001-1−iii−i00000000000000
χ684-44-4−4i4i−4i4i01-202-2-11-12−ii−ii2i−2i2i−2i-33003i−3i00000000000000-222-2−2i2i00002i−2i1-10000-11i−i−ii00000000000000
χ694-4-444-4-440-210-1-122-21-222-21-1-11003-3003-3000000002-22-20000002-22-20000-11-11000000-11-110000000000
χ704-4-444-4-440-210-1-122-21-222-21-1-11003-3003-300000000-22-22000000-22-2200001-11-10000001-11-10000000000
χ714-4-444-4-440-210-1-122-21-222-21-1-1100-3300-33000000002-2-220000002-2-220000-111-1000000-111-10000000000
χ724-4-444-4-440-210-1-122-21-222-21-1-1100-3300-3300000000-222-2000000-222-200001-1-110000001-1-110000000000
χ734-4-44-444-40-210-1-122-212-2-22-111-1003-300-33000000002-2-22000000-222-20000-111-10000001-1-110000000000
χ744-4-44-444-40-210-1-122-212-2-22-111-1003-300-3300000000-222-20000002-2-2200001-1-11000000-111-10000000000
χ754-4-44-444-40-210-1-122-212-2-22-111-100-33003-3000000002-22-2000000-22-220000-11-110000001-11-10000000000
χ764-4-44-444-40-210-1-122-212-2-22-111-100-33003-300000000-22-220000002-22-200001-11-1000000-11-110000000000
χ7788-8-88i8i−8i−8i02-40-442-2-242i2i−2i−2i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000
χ7888-8-88i8i−8i−8i0-4202-2-444-2−4i−4i4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ7988-8-8−8i−8i8i8i02-40-442-2-24−2i−2i2i2i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000
χ8088-8-8−8i−8i8i8i0-4202-2-444-24i4i−4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ818-88-88i−8i8i−8i0-420-224-44-2−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ828-88-8−8i8i−8i8i0-420-224-44-24i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ838-8-888-8-8802-4044-2-22-42-2-22-444-40000000000000000000000000000000000000000000000000000000000
χ848-8-88-888-802-4044-2-22-4-222-24-4-440000000000000000000000000000000000000000000000000000000000

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