Finite Group Databasebeta

← Group #11865824

Character table — Group #11865824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12224444334466666612121212121212121212121212121212224444442244444422446666661212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-11-11111-1-111-1-1-1-111-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-1111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-11-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-111111111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-111-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-111-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-222-2-222-2-20000000022-2-222-2-20000000000000000000000000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-222-2-222000000002222-2-2-2-20000000000000000000000000000
χ2122-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000002-22i−2i00000000000000000000002−2−i2i22−2−i2i2
χ2222-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000002-22i−2i0000000000000000000000−22i2−i2−22i2−i2
χ2322-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000-22−2i2i00000000000000000000002−2−i2i2−22i2−i2
χ2422-2-22i2i−2i−2i22002-22-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000-22−2i2i0000000000000000000000−22i2−i22−2−i2i2
χ2522-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000002-2−2i2i00000000000000000000002−2i2−i22−2i2−i2
χ2622-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000002-2−2i2i0000000000000000000000−22−i2i2−22−i2i2
χ2722-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000-222i−2i00000000000000000000002−2i2−i2−22−i2i2
χ2822-2-2−2i−2i2i2i22002-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000-222i−2i0000000000000000000000−22−i2i22−2i2−i2
χ292-2-222-22-22200-2-2-22-222-22-22-22-200000000002i−2i2i−2i002-200002-20000000000002i−2i2i−2i000000000000
χ302-2-222-22-22200-2-2-22-222-22-22-22-20000000000−2i2i−2i2i002-200002-2000000000000−2i2i−2i2i000000000000
χ312-2-222-22-22200-2-2-22-222-22-22-22-2000000002-200002-2-220000-2200002-200002-20000000000000000
χ322-2-222-22-22200-2-2-22-222-22-22-22-200000000-220000-22-220000-220000-220000-220000000000000000
χ332-2-22-22-222200-2-2-22-22-22-22-22-2200000000002i−2i−2i2i00-2200002-20000000000002i−2i−2i2i000000000000
χ342-2-22-22-222200-2-2-22-22-22-22-22-220000000000−2i2i2i−2i00-2200002-2000000000000−2i2i2i−2i000000000000
χ352-2-22-22-222200-2-2-22-22-22-22-22-22000000002-20000-222-20000-2200002-20000-220000000000000000
χ362-2-22-22-222200-2-2-22-22-22-22-22-2200000000-2200002-22-20000-220000-2200002-20000000000000000
χ37444444441-244-2-2111-21111-2-2-2-2-2-2-2-2111122222222000000000000-1-10000-1-1-1-1-1-1000000000000
χ38444444441-244-2-2111-21111-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2000000000000110000111111000000000000
χ39444444441-2-4-4-2-2111-21111-2-2-2-22222-1-1-1-122-2-2-2-222000000000000-1-10000-1-11111000000000000
χ40444444441-2-4-4-2-2111-21111-2-2-2-22222-1-1-1-1-2-22222-2-200000000000011000011-1-1-1-1000000000000
χ4144444444-214411-2-2-21-2-2-2-211111111-2-2-2-20000000000000000222200-1-1-1-1000000-1-1-1-100000000
χ4244444444-214411-2-2-21-2-2-2-211111111-2-2-2-20000000000000000-2-2-2-2001111000000111100000000
χ4344444444-21-4-411-2-2-21-2-2-2-21111-1-1-1-1222200000000000000002-22-200-1-111000000-1-11100000000
χ4444444444-21-4-411-2-2-21-2-2-2-21111-1-1-1-122220000000000000000-22-220011-1-100000011-1-100000000
χ454444-4-4-4-41-24-4-2-2111-2-1-1-1-12222-2-22211-1-12222-2-2-2-2000000000000-1-1000011-1-111000000000000
χ464444-4-4-4-41-24-4-2-2111-2-1-1-1-12222-2-22211-1-1-2-2-2-22222000000000000110000-1-111-1-1000000000000
χ474444-4-4-4-41-2-44-2-2111-2-1-1-1-1222222-2-2-1-11122-2-222-2-2000000000000-1-100001111-1-1000000000000
χ484444-4-4-4-41-2-44-2-2111-2-1-1-1-1222222-2-2-1-111-2-222-2-222000000000000110000-1-1-1-111000000000000
χ494444-4-4-4-4-214-411-2-2-212222-1-1-1-111-1-1-2-222000000000000000022-2-200-1-1-1-1000000111100000000
χ504444-4-4-4-4-214-411-2-2-212222-1-1-1-111-1-1-2-2220000000000000000-2-222001111000000-1-1-1-100000000
χ514444-4-4-4-4-21-4411-2-2-212222-1-1-1-1-1-11122-2-200000000000000002-2-2200-1-11100000011-1-100000000
χ524444-4-4-4-4-21-4411-2-2-212222-1-1-1-1-1-11122-2-20000000000000000-222-20011-1-1000000-1-11100000000
χ534-44-44i−4i−4i4i4400-44-4-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ544-44-44i−4i−4i4i-2100-1122-2-1−2i2i2i−2ii−i−ii3-33i−3i00000000000000000000000000−i3i3−i3i30000003−33−300000000
χ554-44-44i−4i−4i4i-2100-1122-2-1−2i2i2i−2ii−i−ii3-33i−3i00000000000000000000000000i3−i3i3−i3000000−33−3300000000
χ564-44-44i−4i−4i4i-2100-1122-2-1−2i2i2i−2ii−i−ii-33−3i3i00000000000000000000000000−i3i3i3−i30000003−3−3300000000
χ574-44-44i−4i−4i4i-2100-1122-2-1−2i2i2i−2ii−i−ii-33−3i3i00000000000000000000000000i3−i3−i3i3000000−333−300000000
χ584-44-4−4i4i4i−4i4400-44-4-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ594-44-4−4i4i4i−4i-2100-1122-2-12i−2i−2i2i−iii−i3-3−3i3i00000000000000000000000000−i3i3−i3i3000000−33−3300000000
χ604-44-4−4i4i4i−4i-2100-1122-2-12i−2i−2i2i−iii−i3-3−3i3i00000000000000000000000000i3−i3i3−i30000003−33−300000000
χ614-44-4−4i4i4i−4i-2100-1122-2-12i−2i−2i2i−iii−i-333i−3i00000000000000000000000000−i3i3i3−i3000000−333−300000000
χ624-44-4−4i4i4i−4i-2100-1122-2-12i−2i−2i2i−iii−i-333i−3i00000000000000000000000000i3−i3−i3i30000003−3−3300000000
χ634-4-444-44-41-20022-11-1-21-11-1-22-2200003i−3i3i−3i2-22i−2i2i−2i2-2000000000000-110000-11−ii−ii000000000000
χ644-4-444-44-41-20022-11-1-21-11-1-22-2200003i−3i3i−3i-22−2i2i−2i2i-220000000000001-100001-1i−ii−i000000000000
χ654-4-444-44-41-20022-11-1-21-11-1-22-220000−3i3i−3i3i2-2−2i2i−2i2i2-2000000000000-110000-11i−ii−i000000000000
χ664-4-444-44-41-20022-11-1-21-11-1-22-220000−3i3i−3i3i-222i−2i2i−2i-220000000000001-100001-1−ii−ii000000000000
χ674-4-44-44-441-20022-11-1-2-11-112-22-200003i−3i−3i3i2-22i−2i−2i2i-22000000000000-1100001-1−iii−i000000000000
χ684-4-44-44-441-20022-11-1-2-11-112-22-200003i−3i−3i3i-22−2i2i2i−2i2-20000000000001-10000-11i−i−ii000000000000
χ694-4-44-44-441-20022-11-1-2-11-112-22-20000−3i3i3i−3i2-2−2i2i2i−2i-22000000000000-1100001-1i−i−ii000000000000
χ704-4-44-44-441-20022-11-1-2-11-112-22-20000−3i3i3i−3i-222i−2i−2i2i2-20000000000001-10000-11−iii−i000000000000
χ7188-8-88i8i−8i−8i2-400-442-2-242i2i−2i−2i−4i−4i4i4i0000000000000000000000000000000000000000000000000000
χ7288-8-88i8i−8i−8i-42002-2-444-2−4i−4i4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ7388-8-8−8i−8i8i8i2-400-442-2-24−2i−2i2i2i4i4i−4i−4i0000000000000000000000000000000000000000000000000000
χ7488-8-8−8i−8i8i8i-42002-2-444-24i4i−4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ758-88-88i−8i−8i8i2-4004-4-2-2242i−2i−2i2i−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i8i−8i2-4004-4-2-224−2i2i2i−2i4i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ778-8-888-88-8-4200-2-24-442-44-442-22-20000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-4200-2-24-4424-44-4-22-220000000000000000000000000000000000000000000000000000

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