Finite Group Databasebeta

← Group #11895801

Character table — Group #11895801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212442481212121224242424242424242244488121266661212122246681212122424242444448866124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-11-11-1-1-11-1-111-1-1-1-1-1-111-1111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1111-1111-1-1-1-11-1-11-1-1-1-111
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-1111-11-111-11-1-111-1-1-111-1111-1-1-1
χ7111111111111111111111111-1-11-1-11111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1
χ8111111111111111111111111-1-11-1-11111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-11-111
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
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-11111-1-1-1-11-1111-111-1-111-1-1-1-1111-1-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-11111-1-1-111111111-1-1-1-11-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-11-1-11-111-1-111-111-111-111-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-11-1-1-111111-1-11-1-111-11
χ151111111111111111111111-1-1-1-11-1-11111111111111-1111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-111-1-1-1-11-11
χ161111111111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000002-2-200220000000000000-22-20000200-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-20000000000-2-2200220000000000000-2-220000-2002000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000000022-200-2-2000000000000022-20000-2002000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-20000000000-22200-2-200000000000002-220000200-2000000
χ2122222-1222-1-12-12-1-1-1-1-122-122222-1-1-1-122-1-1-1-1-1-12202000-1-12-1-1-12-1-1200-1-12-10000-1-10000000-100
χ2222222-1222-1-12-12-1-1-1-1-122-1222-2-211-1-1-2-2111111-2-202000-1-12-1-1-1-21120011-2-10000110000000-100
χ2322222-1222-1-12-12-1-1-1-1-122-122-22-2-1-1-1-1-2-21111112202000-1-1-21112-1-1-200-1-1-2-10000110000000100
χ2422222-1222-1-12-12-1-1-1-1-122-122-2-2211-1-122-1-1-1-1-1-1-2-202000-1-1-2111-211-200112-10000-1-10000000100
χ2522222-1222-1-12-12-1-1-1-1-122-1-2-2222-1-1-1-122-1-1-1-1-1-1-2-20-2000112-1-1-12-1-1-20011-210000110000000100
χ2622222-1222-1-12-12-1-1-1-1-122-1-2-22-2-211-1-1-2-2111111220-2000112-1-1-1-211-200-1-1210000-1-10000000100
χ2722222-1222-1-12-12-1-1-1-1-122-1-2-2-22-2-1-1-1-1-2-2111111-2-20-200011-21112-1-120011210000-1-10000000-100
χ2822222-1222-1-12-12-1-1-1-1-122-1-2-2-2-2211-1-122-1-1-1-1-1-1220-200011-2111-211200-1-1-210000110000000-100
χ292222-1222-122-12-1-1-1-1-12-1-120022222-1-1-1-122-1-1-1-1002022200-12-1-1-1-1-10220000-1-1-1-100000000-10-10
χ302222-1222-122-12-1-1-1-1-12-1-120022222-1-1-1-122-1-1-1-100-20-2-2-200-12-1-1-1-1-10-2-200001111000000001010
χ312222-1222-122-12-1-1-1-1-12-1-12002-2-2-2-2-1-111-2-2111100202-2-200-12-1-111102-20000-1-11100000000-1010
χ322222-1222-122-12-1-1-1-1-12-1-12002-2-2-2-2-1-111-2-2111100-20-22200-12-1-11110-22000011-1-10000000010-10
χ332222-1222-122-12-1-1-1-1-12-1-1200-22-222-1-111-2-2111100202-2-2001-211-1-1-10-220000-1-1110000000010-10
χ342222-1222-122-12-1-1-1-1-12-1-1200-22-222-1-111-2-2111100-20-222001-211-1-1-102-2000011-1-100000000-1010
χ352222-1222-122-12-1-1-1-1-12-1-1200-2-22-2-2-1-1-1-122-1-1-1-10020222001-2111110-2-20000-1-1-1-1000000001010
χ362222-1222-122-12-1-1-1-1-12-1-1200-2-22-2-2-1-1-1-122-1-1-1-100-20-2-2-2001-2111110220000111100000000-10-10
χ3722-2-222-2222-2-2-2-22-22-2-22-220000000-22000000002-20002i−2i0000000000002-200002i−2i0002i−2i0000000
χ3822-2-222-2222-2-2-2-22-22-2-22-220000000-22000000002-2000−2i2i0000000000002-20000−2i2i000−2i2i0000000
χ3922-2-222-2222-2-2-2-22-22-2-22-220000000-2200000000-220002i−2i000000000000-2200002i−2i000−2i2i0000000
χ4022-2-222-2222-2-2-2-22-22-2-22-220000000-2200000000-22000−2i2i000000000000-220000−2i2i0002i−2i0000000
χ4144444-2-4-44-2-24-24-2-2-2-22-4-4244000002200000000000-4000-2-2000000000000020000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-22-4-42-4-40000022000000000004000220000000000000-20000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2-422-4000000022000000000040-4000000000000000000-2200000000000000
χ444444-24-4-4-244-24-2-2-2-2-2-422-40000000220000000000-4040000000000000000002-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-211-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-2-2112-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-100000000022-1-1-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-2111100000000022-1-12-1-100000000000000000000000
χ4944-4-4444-444-4-4-4-44-44-44-44-400000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-42-4-22-22-2-4420000023−23-22000000000000000000000023−2300000000000000000000000
χ5144-4-44-24-44-22-42-4-22-22-2-44200000−2323-220000000000000000000000−232300000000000000000000000
χ5244-4-44-2-444-22-42-4-22-2224-4-200000002-2000000004-400000000000000000-22000000000000000000
χ5344-4-44-2-444-22-42-4-22-2224-4-200000002-200000000-44000000000000000002-2000000000000000000
χ5444-4-4-244-4-24-42-42-22-2242-2-40000000-2223−23002323−23−23000000000000000000000000000000000000000
χ5544-4-4-244-4-24-42-42-22-2242-2-40000000-22−232300−23−232323000000000000000000000000000000000000000
χ5644-4-4-24-44-24-42-42-22-22-4-22400000002-200000000000004i−4i000000000000000000−2i2i000000000000
χ5744-4-4-24-44-24-42-42-22-22-4-22400000002-20000000000000−4i4i0000000000000000002i−2i000000000000
χ5844-4-4-2-24-4-2-222221-11-1-22-220000023−231-123−2300−3−333000000000003-30−3300000000000000000000000
χ5944-4-4-2-24-4-2-222221-11-1-22-220000023−231-1−23230033−3−300000000000-330−3300000000000000000000000
χ6044-4-4-2-24-4-2-222221-11-1-22-2200000−23231-123−2300−3−33300000000000-3303−300000000000000000000000
χ6144-4-4-2-24-4-2-222221-11-1-22-2200000−23231-1−23230033−3−3000000000003-303−300000000000000000000000
χ624-44-44400-4-4-444-44-4-4400004-400000000000000000000004-4000000000000000000000000000000
χ634-44-44400-4-4-444-44-4-440000-440000000000000000000000-44000000000000000000000000000000
χ644-44-44-200-4224-2-4-222-200004-4000000000i6−i6i6−i6i6−i60000000-22000000000000000000i6−i60000000000
χ654-44-44-200-4224-2-4-222-200004-4000000000−i6i6−i6i6−i6i60000000-22000000000000000000−i6i60000000000
χ664-44-44-200-4224-2-4-222-20000-44000000000i6−i6i6−i6i6−i600000002-2000000000000000000−i6i60000000000
χ674-44-44-200-4224-2-4-222-20000-44000000000−i6i6−i6i6−i6i600000002-2000000000000000000i6−i60000000000
χ684-4-444400-4-44-4-4444-4-400000000000000000000000000000000000000000000000000000022−220000
χ694-4-444400-4-44-4-4444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4-4-88-4-444442-22-24-44-40000000-2200000000000000000000000000000000000000000000000
χ728-88-8-48004-8-8-484-444-4000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400444-4-442-2-220000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ748-88-8-4-400444-4-442-2-22000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ758-8-888-400-84-4-848-4-444000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-884-8-4-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-444-422-2-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ788-8-88-4-40044-444-422-2-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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