Finite Group Databasebeta

← Group #11897597

Character table — Group #11897597

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212444481212121224242424242424242244488121212121212121212444668121212242424242244881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-1111-1111-1-1-1-1-1-111-1-11-1-11
χ41111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-111111-1-111-1-1-11-111-11-1-111-1-111-1-111-1-11-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-111-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-111-1-1111-11-1-1-11-1-111-1-1-1-1-1-11111-11
χ7111111111111111111111111-1-11-1-11111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ8111111111111111111111111-1-11-1-11111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-111
χ91111111111111111111111-1-1111111111111111-1-11-1111-1-11111111-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11-1-111-1-11-11-1-11-111-1-11111-1-11111-1-1
χ121111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-11-1-1-11111-1-111-1-1-1111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-111-11-1111-111-1-111-1-1-1-111-1-111
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-111-1-111-1-11111-1-1-111111111-1-11-1-1-1
χ151111111111111111111111-1-1-1-11-1-11111111111111-1111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-1-11-11
χ161111111111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000002-2-200220000000000000-2-220000002-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-20000000000-2-2200220000000000000-22-2000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000000022-200-2-200000000000002-22000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-20000000000-22200-2-2000000000000022-20000002-2000000
χ2122222-1222-1-122-1-1-1-1-1-122-122222-1-1-1-122-1-1-1-1-1-12202000-1-122-1-1-1-1-1200-1-12-10000-1-10000000-100
χ2222222-1222-1-122-1-1-1-1-1-122-1222-2-2-1-1-1-1-2-21111112202000-1-12-21-1-111-200-1-1-2-10000110000000100
χ2322222-1222-1-122-1-1-1-1-1-122-122-22-211-1-1-2-2111111-2-202000-1-1-22-111-1-120011-2-10000110000000-100
χ2422222-1222-1-122-1-1-1-1-1-122-122-2-2211-1-122-1-1-1-1-1-1-2-202000-1-1-2-211111-200112-10000-1-10000000100
χ2522222-1222-1-122-1-1-1-1-1-122-1-2-2222-1-1-1-122-1-1-1-1-1-1-2-20-20001122-1-1-1-1-1-20011-210000110000000100
χ2622222-1222-1-122-1-1-1-1-1-122-1-2-22-2-2-1-1-1-1-2-2111111-2-20-2000112-21-1-11120011210000-1-10000000-100
χ2722222-1222-1-122-1-1-1-1-1-122-1-2-2-22-211-1-1-2-2111111220-200011-22-111-1-1-200-1-1210000-1-10000000100
χ2822222-1222-1-122-1-1-1-1-1-122-1-2-2-2-2211-1-122-1-1-1-1-1-1220-200011-2-211111200-1-1-210000110000000-100
χ292222-1222-122-1-12-1-1-1-12-1-120022222-1-1-1-122-1-1-1-1002022200-1-12-1-1-1-10220000-1-1-1-100000000-10-10
χ302222-1222-122-1-12-1-1-1-12-1-120022222-1-1-1-122-1-1-1-100-20-2-2-200-1-12-1-1-1-10-2-200001111000000001010
χ312222-1222-122-1-12-1-1-1-12-1-12002-2-222-1-111-2-2111100202-2-200-11-2-1-1110-220000-1-11100000000-1010
χ322222-1222-122-1-12-1-1-1-12-1-12002-2-222-1-111-2-2111100-20-22200-11-2-1-11102-2000011-1-10000000010-10
χ332222-1222-122-1-12-1-1-1-12-1-1200-22-2-2-2-1-111-2-2111100202-2-2001-1211-1-102-20000-1-1110000000010-10
χ342222-1222-122-1-12-1-1-1-12-1-1200-22-2-2-2-1-111-2-2111100-20-222001-1211-1-10-22000011-1-100000000-1010
χ352222-1222-122-1-12-1-1-1-12-1-1200-2-22-2-2-1-1-1-122-1-1-1-100202220011-211110-2-20000-1-1-1-1000000001010
χ362222-1222-122-1-12-1-1-1-12-1-1200-2-22-2-2-1-1-1-122-1-1-1-100-20-2-2-20011-211110220000111100000000-10-10
χ3722-2-2222-222-2-2-2-22-22-22-22-200000002-2000000002-20002-20000000000002-200002-2002-200000000
χ3822-2-2222-222-2-2-2-22-22-22-22-200000002-2000000002-2000-220000000000002-20000-2200-2200000000
χ3922-2-2222-222-2-2-2-22-22-22-22-200000002-200000000-220002-2000000000000-2200002-200-2200000000
χ4022-2-2222-222-2-2-2-22-22-22-22-200000002-200000000-22000-22000000000000-220000-22002-200000000
χ4144444-2-4-44-2-244-2-2-2-2-22-4-4244000002200000000000-4000-2-2000000000000020000000000000000
χ4244444-2-4-44-2-244-2-2-2-2-22-4-42-4-40000022000000000004000220000000000000-20000000000000000
χ434444-24-4-4-244-2-24-2-2-2-2-422-4000000022000000000040-40000000000000000002-200000000000000
χ444444-24-4-4-244-2-24-2-2-2-2-422-40000000220000000000-404000000000000000000-2200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-2112222-1-1-1-1000000000-22211-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422112222-1-1-1-10000000002-2-2-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-444-4444-4-4-4-44-44-4-44-440000000-4400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-4-42-22-22-2-4420000000-22000000004-400000000000000000-22000000000000000000
χ5144-4-44-24-44-22-4-42-22-22-2-4420000000-2200000000-44000000000000000002-2000000000000000000
χ5244-4-44-2-444-22-4-42-22-2224-4-20000023−232-20000000000000000000023−230000000000000000000000000
χ5344-4-44-2-444-22-4-42-22-2224-4-200000−23232-200000000000000000000−23230000000000000000000000000
χ5444-4-4-244-4-24-422-4-22-2242-2-40000000-2200000000000004-4000000000000000000-22000000000000
χ5544-4-4-244-4-24-422-4-22-2242-2-40000000-220000000000000-440000000000000000002-2000000000000
χ5644-4-4-24-44-24-422-4-22-22-4-22400000002-2−2i32i300−2i3−2i32i32i3000000000000000000000000000000000000000
χ5744-4-4-24-44-24-422-4-22-22-4-22400000002-22i3−2i3002i32i3−2i3−2i3000000000000000000000000000000000000000
χ5844-4-4-2-2-44-2-222221-11-12-22-20000023−23-11−2i32i300i3i3−i3−i3000000000000−333i−3i00000000000000000000000
χ5944-4-4-2-2-44-2-222221-11-12-22-20000023−23-112i3−2i300−i3−i3i3i3000000000000−33−3i3i00000000000000000000000
χ6044-4-4-2-2-44-2-222221-11-12-22-200000−2323-11−2i32i300i3i3−i3−i30000000000003−3−3i3i00000000000000000000000
χ6144-4-4-2-2-44-2-222221-11-12-22-200000−2323-112i3−2i300−i3−i3i3i30000000000003−33i−3i00000000000000000000000
χ624-44-44400-4-4-4-4444-4-4400004-400000000000000000000004-4000000000000000000000000000000
χ634-44-44400-4-4-4-4444-4-440000-440000000000000000000000-44000000000000000000000000000000
χ644-44-44-200-422-44-2-222-200004-4000000000i6−i6i6−i6i6−i60000000-22000000000000000000i6−i60000000000
χ654-44-44-200-422-44-2-222-200004-4000000000−i6i6−i6i6−i6i60000000-22000000000000000000−i6i60000000000
χ664-44-44-200-422-44-2-222-20000-44000000000i6−i6i6−i6i6−i600000002-2000000000000000000−i6i60000000000
χ674-44-44-200-422-44-2-222-20000-44000000000−i6i6−i6i6−i6i600000002-2000000000000000000i6−i60000000000
χ684-4-444400-4-444-4-444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-444400-4-444-4-444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4-48-8-4-444442-22-2-44-4400000002-200000000000000000000000000000000000000000000000
χ728-88-8-48004-8-84-48-444-4000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-4004444-4-42-2-220000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ748-88-8-4-4004444-4-42-2-22000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ758-8-888-400-84-48-84-4-444000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-88-44-8-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-4-44422-2-20000000000000000032−32−3232000000000000000000000000000000000000000
χ788-8-88-4-40044-4-44422-2-200000000000000000−323232−32000000000000000000000000000000000000000

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