Finite Group Databasebeta

← Group #11922219

Character table — Group #11922219

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222444666688881212121212121212121216161616161616161616242424242424242424243636363648484848727272
order12223666266224436664444881212121236666666664812121212242424244488661212448
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111-1-1111111-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-1111111-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111-1-1-111111111-111-1111-1-111-1-1111-1-1-1-1-1-111-1-111-1-1-111111-1-11-1-1
χ611111111-1-1-111111111-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-111-1-111-11-1-111-1-1-111
χ711111111-1-1-1-1-1111111111-1111-1-111-1-1111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-111-111
χ811111111-1-1-1-1-11111111-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-111-1-1111-111-1-1111-1-1
χ9222222222222222-1-1-1-12002002222-1-1-1-1-1-1-1-1-1-100000000002200-1-1-1-1000
χ1022222222222-2-222-1-1-1-1-2002002222-1-1-1-1-1-1-1-1-1-10000000000-2-2001111000
χ1122222222-2-2-22222-1-1-1-1-200-2002-2-22-111-1-1-111110000000000-2200-1-111000
χ1222222222-2-2-2-2-222-1-1-1-1200-2002-2-22-111-1-1-1111100000000002-20011-1-1000
χ132222-1-1-1-12-1-100222222022222-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000
χ142222-1-1-1-12-1-1002222220-2-22-2-2-1-1-1-1-122-1-1-1-1-1-1-1-2-21111111100000000000
χ152222-1-1-1-1-21100222222022-222-111-1-1-2-2-1-1-11111-2-2-1-111-1-11100000000000
χ162222-1-1-1-1-211002222220-2-2-2-2-2-111-1-1-2-2-1-1-111112211-1-111-1-100000000000
χ172-2-2222-2-2000002-222-2-202i−2i02i−2i200-22002-2-20000002i−2i002i−2i0000000000000
χ182-2-2222-2-2000002-222-2-20−2i2i0−2i2i200-22002-2-2000000−2i2i00−2i2i0000000000000
χ192-2-22-1-1110−i3i3002-222-2-202i−2i02i−2i-1−i3i31-100-111−i3−i3i3i300−ii3−3−ii3−300000000000
χ202-2-22-1-1110−i3i3002-222-2-20−2i2i0−2i2i-1−i3i31-100-111−i3−i3i3i300i−i−33i−i−3300000000000
χ212-2-22-1-1110i3−i3002-222-2-202i−2i02i−2i-1i3−i31-100-111i3i3−i3−i300−ii−33−ii−3300000000000
χ222-2-22-1-1110i3−i3002-222-2-20−2i2i0−2i2i-1i3−i31-100-111i3i3−i3−i300i−i3−3i−i3−300000000000
χ233333333333333-1-10000311-1-1-1-1-1-1-100000000001-11111-1-1-1-1-1-1-1-1000011-1
χ243333333333333-1-100003-1-1-111-1-1-1-10000000000-11-1-1-1-11111-1-1110000-1-11
χ2533333333333-3-3-1-10000-311-1-1-1-1-1-1-100000000001-11111-1-1-1-111110000-1-11
χ2633333333333-3-3-1-10000-3-1-1-111-1-1-1-10000000000-11-1-1-1-1111111-1-1000011-1
χ2733333333-3-3-333-1-10000-3111-1-1-111-10000000000-1111-1-1-1-1111-1-1-100001-11
χ2833333333-3-3-333-1-10000-3-1-1111-111-100000000001-1-1-11111-1-11-1110000-11-1
χ2933333333-3-3-3-3-3-1-100003111-1-1-111-10000000000-1111-1-1-1-111-11110000-11-1
χ3033333333-3-3-3-3-3-1-100003-1-1111-111-100000000001-1-1-11111-1-1-11-1-100001-11
χ314444-2-2-2-24-2-20044-2-2-2-2000400-2-2-2-21-2-21111111000000000000000000000
χ324444-2-2-2-2-4220044-2-2-2-2000-400-222-2122111-1-1-1-1000000000000000000000
χ3344-4-44-44-40000000-22-220000000000-20022-2000000000000000022−220000000
χ3444-4-44-44-40000000-22-220000000000-20022-20000000000000000−22220000000
χ354-44-44-4-440004-4001-1-1100000000001−i3i3-11-1−i3i3−i3i3000000000000001-1−i3i3000
χ364-44-44-4-440004-4001-1-1100000000001i3−i3-11-1i3−i3i3−i3000000000000001-1i3−i3000
χ374-44-44-4-440004-400-222-20000000000-2002-22000000000000000000-2200000
χ384-44-44-4-44000-44001-1-1100000000001−i3i3-11-1−i3i3−i3i300000000000000-11i3−i3000
χ394-44-44-4-44000-44001-1-1100000000001i3−i3-11-1i3−i3i3−i300000000000000-11−i3i3000
χ404-44-44-4-44000-4400-222-20000000000-2002-220000000000000000002-200000
χ414-4-4444-4-4000004-4-2-222000000400-4-200-2220000000000000000000000000
χ424-4-44-2-2220−2i32i3004-4-2-222000000-2−2i32i321001-1-1i3i3−i3−i3000000000000000000000
χ434-4-44-2-22202i3−2i3004-4-2-222000000-22i3−2i321001-1-1−i3−i3i3i3000000000000000000000
χ446666-3-3-3-36-3-300-2-20000022-2-2-2111100000000002-2-1-1-1-1111100000000000
χ456666-3-3-3-36-3-300-2-200000-2-2-22211110000000000-221111-1-1-1-100000000000
χ466666-3-3-3-3-63300-2-200000222-2-21-1-110000000000-22-1-11111-1-100000000000
χ476666-3-3-3-3-63300-2-200000-2-22221-1-1100000000002-211-1-1-1-11100000000000
χ486-6-6666-6-600000-22000002i−2i0−2i2i-20020000000000002i−2i00−2i2i0000000000000
χ496-6-6666-6-600000-2200000−2i2i02i−2i-2002000000000000−2i2i002i−2i0000000000000
χ506-6-66-3-3330−3i33i300-22000002i−2i0−2i2i1i3−i3-1000000000000−ii3−3i−i−3300000000000
χ516-6-66-3-3330−3i33i300-2200000−2i2i02i−2i1i3−i3-1000000000000i−i−33−ii3−300000000000
χ526-6-66-3-33303i3−3i300-22000002i−2i0−2i2i1−i3i3-1000000000000−ii−33i−i3−300000000000
χ536-6-66-3-33303i3−3i300-2200000−2i2i02i−2i1−i3i3-1000000000000i−i3−3−ii−3300000000000
χ5488-8-88-88-800000002-22-20000000000200-2-220000000000000000000000000
χ5588-8-8-44-4400000002-22-20000000000-10011-13-3-33000000000000000000000
χ5688-8-8-44-4400000002-22-20000000000-10011-1-333-3000000000000000000000
χ5788-8-8-44-440000000-44-440000000000200-2-220000000000000000000000000
χ588-88-8-444-400000002-2-220000000000-1−2i32i31-11i3−i3i3−i3000000000000000000000
χ598-88-8-444-400000002-2-220000000000-12i3−2i31-11−i3i3−i3i3000000000000000000000
χ608-88-8-444-40000000-444-40000000000200-22-20000000000000000000000000

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