Finite Group Databasebeta

← Group #11872745

Character table — Group #11872745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212246666666612121212121212121212121222224444888824242424242424246666881212121224242424244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1-11
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1111-1-1-1-111-1-1111-1
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111-1-1-11111-1-1-1-1111-1
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111111-1-11111-1-1-11
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1-1-11111-1-11-1
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-11-111-1-111-1-1-1-111-11
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111-11
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1111111-1-111-1-11-1
χ1722222222-2-2-2-222222222222222-2-222-2-22222-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-222222222222222-2-222-2-22222-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000-222-200
χ19222222-2-222-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-200000000000000-2-222000000000000000000000000000000000000002-22-200
χ20222222-2-222-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-200000000000000-2-22200000000000000000000000000000000000000-22-2200
χ2122222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10022002200000000000000-1-122-1-100-1-1-1-1000000
χ2222222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-20000000000000011-2-211001111000000
χ2322222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-2-2-211111111-2-2-1-1-1-111110022002200000000000000-1-1-2-2-1-1001111000000
χ2422222-122222222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-2-2-211111111-2-2-1-1-1-1111100-2-200-2-20000000000000011221100-1-1-1-1000000
χ2522222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-21111111122-1-12-222-1-1-1-1-1-111-2-2-1-1111111002200-2-200000000000000-1-12-21100-1-111000000
χ2622222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-21111111122-1-12-222-1-1-1-1-1-111-2-2-1-111111100-2-200220000000000000011-22-1-10011-1-1000000
χ2722222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-21111111122-1-1-22-2-2111111-1-122-1-111-1-1-1-1002200-2-200000000000000-1-1-22110011-1-1000000
χ2822222-1-2-2-2-22222-1-1-12-2-2-2-2-1-1-1-1-2-21111111122-1-1-22-2-2111111-1-122-1-111-1-1-1-100-2-2002200000000000000112-2-1-100-1-111000000
χ292222-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-1-1-1000000-1-10000000000
χ302222-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111111000000110000000000
χ312222-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-211-2-21111-2-211-1-1-1-1111122002200-2-2-2-211111111-1-1000000-1-10000000000
χ322222-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-211-2-21111-2-211-1-1-1-11111-2-200-2-2002222-1-1-1-1-1-1-1-111000000110000000000
χ332222-12-2-2-2-222-1-1222-11111-1-1-1-111-2-2-2-21111-1-1222-2-1-122-1-1-1-1-2-211-1-11111112200-2-20022-2-2-1-1-1-11111-1-1000000110000000000
χ342222-12-2-2-2-222-1-1222-11111-1-1-1-111-2-2-2-21111-1-1222-2-1-122-1-1-1-1-2-211-1-1111111-2-2002200-2-2221111-1-1-1-111000000-1-10000000000
χ352222-12-2-2-2-222-1-1222-11111-1-1-1-111-2-2-2-21111-1-122-2211-2-2111122-1-1-1-111-1-1-1-12200-2-200-2-2221111-1-1-1-1-1-1000000110000000000
χ362222-12-2-2-2-222-1-1222-11111-1-1-1-111-2-2-2-21111-1-122-2211-2-2111122-1-1-1-111-1-1-1-1-2-200220022-2-2-1-1-1-1111111000000-1-10000000000
χ3722-2-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i0000002-2002i−2i000000000000002-2002i−2i000000000000
χ3822-2-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-2000000000000002-22i−2i000000-2200−2i2i00000000000000-2200−2i2i000000000000
χ3922-2-2222i−2i−2i2i-222-22-2-2-22i2i−2i−2i22-2-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i00002-2002i−2i000000000000002-20000002i−2i0000000000
χ4022-2-2222i−2i−2i2i-222-22-2-2-22i2i−2i−2i22-2-2−2i2i2i−2i−2i2i2i2i−2i−2i-22-2200000000000000-22−2i2i0000-2200−2i2i00000000000000-22000000−2i2i0000000000
χ4122-2-222−2i2i2i−2i-222-22-2-2-2−2i−2i2i2i22-2-22i−2i−2i2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i00002-200−2i2i000000000000002-2000000−2i2i0000000000
χ4222-2-222−2i2i2i−2i-222-22-2-2-2−2i−2i2i2i22-2-22i−2i−2i2i2i−2i−2i−2i2i2i-22-2200000000000000-222i−2i0000-22002i−2i00000000000000-220000002i−2i0000000000
χ4322-2-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i0000002-200−2i2i000000000000002-200−2i2i000000000000
χ4422-2-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-2000000000000002-2−2i2i000000-22002i−2i00000000000000-22002i−2i000000000000
χ4522-2-22-12i−2i2i−2i2-22-2-111-22i2i−2i−2i-1-1112i−2i−ii−ii−i−iii2-2-110000−i3i3−i3−i3i3i33−300-11−ii33−3−3002-2002i−2i00000000000000-1100−ii00−i3i33−3000000
χ4622-2-22-12i−2i2i−2i2-22-2-111-22i2i−2i−2i-1-1112i−2i−ii−ii−i−iii2-2-110000−i3i3−i3−i3i3i33−300-11−ii33−3−300-2200−2i2i000000000000001-100i−i00i3−i3−33000000
χ4722-2-22-12i−2i2i−2i2-22-2-111-22i2i−2i−2i-1-1112i−2i−ii−ii−i−iii2-2-110000i3−i3i3i3−i3−i3−3300-11−ii−3−333002-2002i−2i00000000000000-1100−ii00i3−i3−33000000
χ4822-2-22-12i−2i2i−2i2-22-2-111-22i2i−2i−2i-1-1112i−2i−ii−ii−i−iii2-2-110000i3−i3i3i3−i3−i3−3300-11−ii−3−33300-2200−2i2i000000000000001-100i−i00−i3i33−3000000
χ4922-2-22-1−2i2i−2i2i2-22-2-111-2−2i−2i2i2i-1-111−2i2ii−ii−iii−i−i2-2-110000−i3i3−i3−i3i3i3−3300-11i−i−3−333002-200−2i2i00000000000000-1100i−i00−i3i3−33000000
χ5022-2-22-1−2i2i−2i2i2-22-2-111-2−2i−2i2i2i-1-111−2i2ii−ii−iii−i−i2-2-110000−i3i3−i3−i3i3i3−3300-11i−i−3−33300-22002i−2i000000000000001-100−ii00i3−i33−3000000
χ5122-2-22-1−2i2i−2i2i2-22-2-111-2−2i−2i2i2i-1-111−2i2ii−ii−iii−i−i2-2-110000i3−i3i3i3−i3−i33−300-11i−i33−3−3002-200−2i2i00000000000000-1100i−i00i3−i33−3000000
χ5222-2-22-1−2i2i−2i2i2-22-2-111-2−2i−2i2i2i-1-111−2i2ii−ii−iii−i−i2-2-110000i3−i3i3i3−i3−i33−300-11i−i33−3−300-22002i−2i000000000000001-100−ii00−i3i3−33000000
χ5322-2-2-122i−2i−2i2i-22-112-2-21−i−iii-1-111i−i2i−2i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i3003−31-1i−i3−33−32-2002i−2i000000−i3−i3i3i333−3−3-11000000−ii0000000000
χ5422-2-2-122i−2i−2i2i-22-112-2-21−i−iii-1-111i−i2i−2i−2i2i−i−iii1-1-2200−i3i300−i3i3−i3i3003−31-1i−i3−33−3-2200−2i2i000000i3i3−i3−i3−3−3331-1000000i−i0000000000
χ5522-2-2-122i−2i−2i2i-22-112-2-21−i−iii-1-111i−i2i−2i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i300−331-1i−i−33−332-2002i−2i000000i3i3−i3−i3−3−333-11000000−ii0000000000
χ5622-2-2-122i−2i−2i2i-22-112-2-21−i−iii-1-111i−i2i−2i−2i2i−i−iii1-1-2200i3−i300i3−i3i3−i300−331-1i−i−33−33-2200−2i2i000000−i3−i3i3i333−3−31-1000000i−i0000000000
χ5722-2-2-12−2i2i2i−2i-22-112-2-21ii−i−i-1-111−ii−2i2i2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i300−331-1−ii−33−332-200−2i2i000000−i3−i3i3i3−3−333-11000000i−i0000000000
χ5822-2-2-12−2i2i2i−2i-22-112-2-21ii−i−i-1-111−ii−2i2i2i−2iii−i−i1-1-2200−i3i300−i3i3−i3i300−331-1−ii−33−33-22002i−2i000000i3i3−i3−i333−3−31-1000000−ii0000000000
χ5922-2-2-12−2i2i2i−2i-22-112-2-21ii−i−i-1-111−ii−2i2i2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i3003−31-1−ii3−33−32-200−2i2i000000i3i3−i3−i333−3−3-11000000i−i0000000000
χ6022-2-2-12−2i2i2i−2i-22-112-2-21ii−i−i-1-111−ii−2i2i2i−2iii−i−i1-1-2200i3−i300i3−i3i3−i3003−31-1−ii3−33−3-22002i−2i000000−i3−i3i3i3−3−3331-1000000−ii0000000000
χ6144444-244-4-4-4-444-2-2-244444-2-2-2-2-4-4-2-222-2-2-2-2-4-42200000000000000222200000000000000000000000000000000000000000000
χ6244444-2-4-444-4-444-2-2-24-4-4-4-4-2-2-2-24422-2-22222-4-4220000000000000022-2-200000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-2-2444-2-2-2-2-2-2-2-2-22244-4-4-2-2-2-222-4-400000000000000222200000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-2-2444-22222-2-2-2-2-2-2-4-444222222-4-40000000000000022-2-200000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-244-2-2-2-21111-2-2-2-2111111110000000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-4-42222-1-1-1-122221111-1-1-1-10000000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2111122-2-222111122220000003-3-330000-1-1-1-13-3-330000000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2111122-2-22211112222000000-333-30000-1-1-1-1-333-30000000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-222221111-2-222-2-2-1-1-1-122220000003-3-330000-1-111-333-30000000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-222221111-2-222-2-2-1-1-1-12222000000-333-30000-1-1113-3-330000000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-24-4-2-2-2-21111222211-1-1-1-1-1-10000000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-2-442222-1-1-1-1-2-2-2-211-1-111110000000000000000000000000000000000000000
χ7344-4-44-24i−4i−4i4i-444-4-222-44i4i−4i−4i-2-222−4i4i−2i2i2i−2i−2i−2i2i2i-442-2000000000000002-22i−2i00000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i4i−4i-444-4-222-4−4i−4i4i4i-2-2224i−4i2i−2i−2i2i2i2i−2i−2i-442-2000000000000002-2−2i2i00000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-224-4-42−2i−2i2i2i-2-222−2i2i4i−4i4i−4i−2i−2i2i2i-224-400000000000000-22−2i2i00000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-224-4-422i2i−2i−2i-2-2222i−2i−4i4i−4i4i2i2i−2i−2i-224-400000000000000-222i−2i00000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i−2i2i−2i2iii−i−i-22-220000−2i32i3i3i3−i3−i323−23001-1i−i−3−3330000000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i−2i2i−2i2iii−i−i-22-2200002i3−2i3−i3−i3i3i3−2323001-1i−i33−3−30000000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-22-2222−2i−2i2i2i11-1-12i−2i−2i2i2i−2iii−i−i2-22-200−2i32i300i3−i3i3−i30023−23-11−ii−33−330000000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-22-2222−2i−2i2i2i11-1-12i−2i−2i2i2i−2iii−i−i2-22-2002i3−2i300−i3i3−i3i300−2323-11−ii3−33−30000000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-22-22222i2i−2i−2i11-1-1−2i2i2i−2i−2i2i−i−iii2-22-200−2i32i300i3−i3i3−i300−2323-11i−i3−33−30000000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-22-22222i2i−2i−2i11-1-1−2i2i2i−2i−2i2i−i−iii2-22-2002i3−2i300−i3i3−i3i30023−23-11i−i−33−330000000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i2i−2i2i−2i−i−iii-22-220000−2i32i3i3i3−i3−i3−2323001-1−ii33−3−30000000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i2i−2i2i−2i−i−iii-22-2200002i3−2i3−i3−i3i3i323−23001-1−ii−3−3330000000000000000000000000000000000000000
χ854-44-444000000-4-4-44-4400004-4-44000000000000000000000000000000000000000000000022−22000022−2222−2200000000000000000000
χ864-44-444000000-4-4-44-4400004-4-440000000000000000000000000000000000000000000000−22220000−2222−222200000000000000000000
χ874-44-4-2400000022-44-4-2−2i32i3−2i32i3-222-2000000−2i32i3−2i32i300000000000000000000000000000000000022−22i6−i6i6−i6−22−2200000000000000000000
χ884-44-4-2400000022-44-4-2−2i32i3−2i32i3-222-2000000−2i32i3−2i32i3000000000000000000000000000000000000−2222−i6i6−i6i62−22−200000000000000000000
χ894-44-4-2400000022-44-4-22i3−2i32i3−2i3-222-20000002i3−2i32i3−2i300000000000000000000000000000000000022−22−i6i6−i6i6−22−2200000000000000000000
χ904-44-4-2400000022-44-4-22i3−2i32i3−2i3-222-20000002i3−2i32i3−2i3000000000000000000000000000000000000−2222i6−i6i6−i62−22−200000000000000000000
χ914-4-4444000000-44-4-44-400004-44-40000000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4444000000-44-4-44-400004-44-400000000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-44-240000002-2-4-44223−23−2323-22-2200000023−23−2323000000000000000000000000000000000022−2200−222−2−666−600000000000000000000
χ944-4-44-240000002-2-4-44223−23−2323-22-2200000023−23−23230000000000000000000000000000000000−2222002−2−226−6−6600000000000000000000
χ954-4-44-240000002-2-4-442−232323−23-22-22000000−232323−23000000000000000000000000000000000022−2200−222−26−6−6600000000000000000000
χ964-4-44-240000002-2-4-442−232323−23-22-22000000−232323−230000000000000000000000000000000000−2222002−2−22−666−600000000000000000000
χ978-88-88-4000000-8-84-4480000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000000444-44-4−4i34i3−4i34i32-2-220000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000000444-44-44i3−4i34i3−4i32-2-22000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-8844-4-80000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004-444-4443−43−43432-22-2000000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004-444-44−434343−432-22-200000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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