Finite Group Databasebeta

← Group #11808465

Character table — Group #11808465

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order12224444334466666612121212121212121212121212121212222244442222224444444444666666121212121212121212124444444444
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11-1-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-111111-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111111-111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222000000000000000000000000000000002-200000000
χ2122-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i2i−2i−2i002-2000000002i−2i0000002-2000000002i−2i0000000000
χ2222-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i2i−2i−2i00-2200000000−2i2i000000-2200000000−2i2i0000000000
χ2322-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i−2i2i2i2-2000000002i−2i0000002-2000000002i−2i000000000000
χ2422-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i−2i2i2i-2200000000−2i2i000000-2200000000−2i2i000000000000
χ2522-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i−2i2i2i002-200000000−2i2i0000002-200000000−2i2i0000000000
χ2622-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i−2i2i2i00-22000000002i−2i000000-22000000002i−2i0000000000
χ2722-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i2i−2i−2i2-200000000−2i2i0000002-200000000−2i2i000000000000
χ2822-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i2i−2i−2i-22000000002i−2i000000-22000000002i−2i000000000000
χ292-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i000000002-2-222i−2i2i−2i00000000000000000000000000000000002-22i−2i0000
χ302-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i000000002-2-222i−2i2i−2i0000000000000000000000000000000000-22−2i2i0000
χ312-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000-222-2−2i2i−2i2i000000000000000000000000000000000000002-22i−2i
χ322-22-22i−2i2i−2i2200-22-22-2-22i−2i2i−2i2i−2i2i−2i00000000-222-2−2i2i−2i2i00000000000000000000000000000000000000-22−2i2i
χ332-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-2-22−2i2i−2i2i00000000000000000000000000000000002-2−2i2i0000
χ342-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i000000002-2-22−2i2i−2i2i0000000000000000000000000000000000-222i−2i0000
χ352-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-222-22i−2i2i−2i000000000000000000000000000000000000002-2−2i2i
χ362-22-2−2i2i−2i2i2200-22-22-2-2−2i2i−2i2i−2i2i−2i2i00000000-222-22i−2i2i−2i00000000000000000000000000000000000000-222i−2i
χ372-2-222-2-222200-2-2-2-2222-2-222-2-220000000022-2-22-2-220000002i−2i2i−2i000000000000002i−2i2i−2i00000000000000
χ382-2-222-2-222200-2-2-2-2222-2-222-2-220000000022-2-22-2-22000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000
χ392-2-222-2-222200-2-2-2-2222-2-222-2-2200000000-2-222-222-200002-2000000002-22-200002-2000000000000000000
χ402-2-222-2-222200-2-2-2-2222-2-222-2-2200000000-2-222-222-20000-2200000000-22-220000-22000000000000000000
χ412-2-22-222-22200-2-2-2-222-222-2-222-20000000022-2-2-222-20000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ422-2-22-222-22200-2-2-2-222-222-2-222-20000000022-2-2-222-2000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ432-2-22-222-22200-2-2-2-222-222-2-222-200000000-2-2222-2-2200002-200000000-222-20000-22000000000000000000
χ442-2-22-222-22200-2-2-2-222-222-2-222-200000000-2-2222-2-220000-22000000002-2-2200002-2000000000000000000
χ45444444441-244-2-2111-21111-2-2-2-2-2-2-2-21111000000000000222222000022-1-10000-1-1-1-1-1-100000000000000
χ46444444441-244-2-2111-21111-2-2-2-2-2-2-2-21111000000000000-2-2-2-2-2-20000-2-211000011111100000000000000
χ47444444441-2-4-4-2-2111-21111-2-2-2-22222-1-1-1-100000000000022-2-2-2-2000022-1-10000-1-1111100000000000000
χ48444444441-2-4-4-2-2111-21111-2-2-2-22222-1-1-1-1000000000000-2-222220000-2-211000011-1-1-1-100000000000000
χ4944444444-214411-2-2-21-2-2-2-211111111-2-2-2-200000000222200000022220000-1-1-1-1000000-1-1-1-10000000000
χ5044444444-214411-2-2-21-2-2-2-211111111-2-2-2-200000000-2-2-2-2000000-2-2-2-20000111100000011110000000000
χ5144444444-21-4-411-2-2-21-2-2-2-21111-1-1-1-122220000000022-2-200000022-2-20000-1-111000000-1-1110000000000
χ5244444444-21-4-411-2-2-21-2-2-2-21111-1-1-1-1222200000000-2-222000000-2-222000011-1-100000011-1-10000000000
χ534444-4-4-4-41-24-4-2-2111-2-1-1-1-12222-2-22211-1-10000000000002222-2-20000-2-2-1-1000011-1-11100000000000000
χ544444-4-4-4-41-24-4-2-2111-2-1-1-1-12222-2-22211-1-1000000000000-2-2-2-222000022110000-1-111-1-100000000000000
χ554444-4-4-4-41-2-44-2-2111-2-1-1-1-1222222-2-2-1-11100000000000022-2-2220000-2-2-1-100001111-1-100000000000000
χ564444-4-4-4-41-2-44-2-2111-2-1-1-1-1222222-2-2-1-111000000000000-2-222-2-2000022110000-1-1-1-11100000000000000
χ574444-4-4-4-4-214-411-2-2-212222-1-1-1-111-1-1-2-222000000002222000000-2-2-2-20000-1-1-1-100000011110000000000
χ584444-4-4-4-4-214-411-2-2-212222-1-1-1-111-1-1-2-22200000000-2-2-2-2000000222200001111000000-1-1-1-10000000000
χ594444-4-4-4-4-21-4411-2-2-212222-1-1-1-1-1-11122-2-20000000022-2-2000000-2-2220000-1-11100000011-1-10000000000
χ604444-4-4-4-4-21-4411-2-2-212222-1-1-1-1-1-11122-2-200000000-2-22200000022-2-2000011-1-1000000-1-1110000000000
χ6144-4-44i4i−4i−4i-21001-1-222-1−2i−2i2i2iii−i−i3-33i−3i0000000000002-22-20000002i−2i2i−2i0000-11-11000000−ii−ii0000000000
χ6244-4-44i4i−4i−4i-21001-1-222-1−2i−2i2i2iii−i−i3-33i−3i000000000000-22-22000000−2i2i−2i2i00001-11-1000000i−ii−i0000000000
χ6344-4-44i4i−4i−4i-21001-1-222-1−2i−2i2i2iii−i−i-33−3i3i0000000000002-2-220000002i−2i−2i2i0000-111-1000000−iii−i0000000000
χ6444-4-44i4i−4i−4i-21001-1-222-1−2i−2i2i2iii−i−i-33−3i3i000000000000-222-2000000−2i2i2i−2i00001-1-11000000i−i−ii0000000000
χ6544-4-4−4i−4i4i4i-21001-1-222-12i2i−2i−2i−i−iii3-3−3i3i0000000000002-22-2000000−2i2i−2i2i0000-11-11000000i−ii−i0000000000
χ6644-4-4−4i−4i4i4i-21001-1-222-12i2i−2i−2i−i−iii3-3−3i3i000000000000-22-220000002i−2i2i−2i00001-11-1000000−ii−ii0000000000
χ6744-4-4−4i−4i4i4i-21001-1-222-12i2i−2i−2i−i−iii-333i−3i0000000000002-2-22000000−2i2i2i−2i0000-111-1000000i−i−ii0000000000
χ6844-4-4−4i−4i4i4i-21001-1-222-12i2i−2i−2i−i−iii-333i−3i000000000000-222-20000002i−2i−2i2i00001-1-11000000−iii−i0000000000
χ694-4-444-4-441-20022-1-11-21-1-11-222-200003i−3i3i−3i0000000000002-22i−2i2i−2i00002-2-110000-11−ii−ii00000000000000
χ704-4-444-4-441-20022-1-11-21-1-11-222-200003i−3i3i−3i000000000000-22−2i2i−2i2i0000-221-100001-1i−ii−i00000000000000
χ714-4-444-4-441-20022-1-11-21-1-11-222-20000−3i3i−3i3i0000000000002-2−2i2i−2i2i00002-2-110000-11i−ii−i00000000000000
χ724-4-444-4-441-20022-1-11-21-1-11-222-20000−3i3i−3i3i000000000000-222i−2i2i−2i0000-221-100001-1−ii−ii00000000000000
χ734-4-44-444-41-20022-1-11-2-111-12-2-2200003i−3i−3i3i0000000000002-22i−2i−2i2i0000-22-1100001-1−iii−i00000000000000
χ744-4-44-444-41-20022-1-11-2-111-12-2-2200003i−3i−3i3i000000000000-22−2i2i2i−2i00002-21-10000-11i−i−ii00000000000000
χ754-4-44-444-41-20022-1-11-2-111-12-2-220000−3i3i3i−3i0000000000002-2−2i2i2i−2i0000-22-1100001-1i−i−ii00000000000000
χ764-4-44-444-41-20022-1-11-2-111-12-2-220000−3i3i3i−3i000000000000-222i−2i−2i2i00002-21-10000-11−iii−i00000000000000
χ7788-8-88i8i−8i−8i2-400-442-2-242i2i−2i−2i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000
χ7888-8-8−8i−8i8i8i2-400-442-2-24−2i−2i2i2i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000
χ798-88-88i−8i8i−8i2-4004-4-22-242i−2i2i−2i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ808-88-88i−8i8i−8i-4200-224-44-2−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ818-88-8−8i8i−8i8i2-4004-4-22-24−2i2i−2i2i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ828-88-8−8i8i−8i8i-4200-224-44-24i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ838-8-888-8-88-4200-2-244-42-444-42-2-220000000000000000000000000000000000000000000000000000000000
χ848-8-88-888-8-4200-2-244-424-4-44-222-20000000000000000000000000000000000000000000000000000000000

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