Finite Group Databasebeta

← Group #11921645

Character table — Group #11921645

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222444666688881212121212121212121216161616161616161616242424242424242424243636363648484848727272
order1222366641212444436662244881212121236661212121212124668121224242424448812121212448
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111-1-1111111111-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-1111111-1-11-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-11-11111-1-11-1-1
χ611111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1111-1-1-111-1-1-111
χ711111111-1-1-1-1-111111111-1111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-11-1-1-1-111-111
χ811111111-1-1-1-1-1111111-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-111-1111-1-1111-1-1
χ9222222222222222-1-1-1-10022002222-1-1-1-1-1-1-1-1-1-100000000002200-1-1-1-1000
χ1022222222222-2-222-1-1-1-1002-2002222-1-1-1-1-1-1-1-1-1-10000000000-2-2001111000
χ1122222222-2-2-22222-1-1-1-100-2-200-2-222-1-1-1-111111100000000002-200-1-111000
χ1222222222-2-2-2-2-222-1-1-1-100-2200-2-222-1-1-1-11111110000000000-220011-1-1000
χ132222-1-1-1-12-1-100222222222022-1-1-1-1-1-1-1-122-1-1-1-12-1-12-1-1-1-1-1-100000000000
χ142222-1-1-1-12-1-100222222-2-220-2-2-1-1-1-1-1-1-1-122-1-1-1-1-211-211111100000000000
χ152222-1-1-1-1-2110022222222-202211-1-1-1-1-1-1-2-21111-2-1-1-211-1-11100000000000
χ162222-1-1-1-1-21100222222-2-2-20-2-211-1-1-1-1-1-1-2-211112112-1-111-1-100000000000
χ1722-2-22-22-2000002-222-2-22-2002-2002-222-2-200000002-20002-20000000000000
χ1822-2-22-22-2000002-222-2-2-2200-22002-222-2-20000000-22000-220000000000000
χ1922-2-2-11-1103−3002-222-2-22-2002-23−3-11-1-1110033−3−30-1103−3-113−300000000000
χ2022-2-2-11-1103−3002-222-2-2-2200-223−3-11-1-1110033−3−301-10−331-1−3300000000000
χ2122-2-2-11-110−33002-222-2-22-2002-2−33-11-1-11100−3−3330-110−33-11−3300000000000
χ2222-2-2-11-110−33002-222-2-2-2200-22−33-11-1-11100−3−33301-103−31-13−300000000000
χ233333333333333-1-1000011-13-1-1-1-1-1-10000000000111-111-1-1-1-1-1-1-1-1000011-1
χ243333333333333-1-10000-1-1-1311-1-1-1-10000000000-1-1-11-1-11111-1-1110000-1-11
χ2533333333333-3-3-1-1000011-1-3-1-1-1-1-1-10000000000111-111-1-1-1-111110000-1-11
χ2633333333333-3-3-1-10000-1-1-1-311-1-1-1-10000000000-1-1-11-1-1111111-1-1000011-1
χ2733333333-3-3-333-1-10000111-3-1-111-1-10000000000-1111-1-1-1-111-11-1-100001-11
χ2833333333-3-3-333-1-10000-1-11-31111-1-100000000001-1-1-11111-1-1-11110000-11-1
χ2933333333-3-3-3-3-3-1-100001113-1-111-1-10000000000-1111-1-1-1-1111-1110000-11-1
χ3033333333-3-3-3-3-3-1-10000-1-1131111-1-100000000001-1-1-11111-1-11-1-1-100001-11
χ314444-2-2-2-24-2-20044-2-2-2-2004000-2-2-2-21111-2-21111000000000000000000000
χ324444-2-2-2-2-4220044-2-2-2-200-400022-2-2111122-1-1-1-1000000000000000000000
χ3344-4-44-44-4000004-4-2-222000000004-4-2-222000000000000000000000000000
χ3444-4-4-22-22023−23004-4-2-22200000023−23-2211-1-100−3−333000000000000000000000
χ3544-4-4-22-220−2323004-4-2-222000000−2323-2211-1-10033−3−3000000000000000000000
χ364-44-44-4-440000000-222-20000000000-22-22000000000000000000−2i22i20000000
χ374-44-44-4-440000000-222-20000000000-22-220000000000000000002i2−2i20000000
χ384-4-4444-4-40004i−4i001-11-100000000001-1-11−i3i3−i3i3−i3i300000000000000i−i3−3000
χ394-4-4444-4-40004i−4i001-11-100000000001-1-11i3−i3i3−i3i3−i300000000000000i−i−33000
χ404-4-4444-4-40004i−4i00-22-220000000000-222-200000000000000000000−2i2i00000
χ414-4-4444-4-4000−4i4i001-11-100000000001-1-11−i3i3−i3i3−i3i300000000000000−ii−33000
χ424-4-4444-4-4000−4i4i001-11-100000000001-1-11i3−i3i3−i3i3−i300000000000000−ii3−3000
χ434-4-4444-4-4000−4i4i00-22-220000000000-222-2000000000000000000002i−2i00000
χ446666-3-3-3-36-3-300-2-2000022-20-2-2111100000000002-1-1-2-1-1111100000000000
χ456666-3-3-3-36-3-300-2-20000-2-2-202211110000000000-211211-1-1-1-100000000000
χ466666-3-3-3-3-63300-2-200002220-2-2-1-1110000000000-2-1-121111-1-100000000000
χ476666-3-3-3-3-63300-2-20000-2-22022-1-1110000000000211-2-1-1-1-11100000000000
χ4866-6-66-66-600000-2200002-200-2200-22000000000002-2000-220000000000000
χ4966-6-66-66-600000-220000-22002-200-2200000000000-220002-20000000000000
χ5066-6-6-33-33033−3300-2200002-200-22−331-100000000000-1103−31-1−3300000000000
χ5166-6-6-33-33033−3300-220000-22002-2−331-1000000000001-10−33-113−300000000000
χ5266-6-6-33-330−333300-2200002-200-223−31-100000000000-110−331-13−300000000000
χ5366-6-6-33-330−333300-220000-22002-23−31-1000000000001-103−3-11−3300000000000
χ548-88-88-8-8800000002-2-2200000000002-22-2000000000000000000000000000
χ558-88-8-444-400000002-2-220000000000-11-11003i−3i−3i3i000000000000000000000
χ568-88-8-444-400000002-2-220000000000-11-1100−3i3i3i−3i000000000000000000000
χ578-88-8-444-40000000-444-400000000002-22-2000000000000000000000000000
χ588-8-88-4-44400000002-22-20000000000-111-1−2i32i3i3−i3i3−i3000000000000000000000
χ598-8-88-4-44400000002-22-20000000000-111-12i3−2i3−i3i3−i3i3000000000000000000000
χ608-8-88-4-4440000000-44-4400000000002-2-22000000000000000000000000000

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