Finite Group Databasebeta

← Group #11792212

Character table — Group #11792212

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222233444466666636666666121212121212121212121212446612121212121212121212121212121212121224444466881212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000002-200000000000022-2-20000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000-22000000000000-2-2220000000000
χ112222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1000000-1-1-1-1-1-10000000000
χ122222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200110000001111110000000000
χ132222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-2-2-21111-1-11111111122-2-200-1-1000000-1-111110000000000
χ142222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-2-2-21111-1-111111111-2-222001100000011-1-1-1-10000000000
χ152222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-10000−i3−i3i3i311−i3−i3−i3−i3i3i3i3i3002-200−i3i3000000−i3i3-1-1110000000000
χ162222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-10000−i3−i3i3i311−i3−i3−i3−i3i3i3i3i300-2200i3−i3000000i3−i311-1-10000000000
χ172222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-10000i3i3−i3−i311i3i3i3i3−i3−i3−i3−i3002-200i3−i3000000i3−i3-1-1110000000000
χ182222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-10000i3i3−i3−i311i3i3i3i3−i3−i3−i3−i300-2200−i3i3000000−i3i311-1-10000000000
χ19222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1000000-1-1-1-1000000
χ20222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-200-2-211110000001111000000
χ21222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-11111-2-2-2-2-1-11111111100002200-2-2-1-1-1-10000001111000000
χ22222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-11111-2-2-2-2-1-1111111110000-2-200221111000000-1-1-1-1000000
χ232222-2-2222-22-22222222-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-222-2-22-22-22222-2-222-2-2000000000000000000000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-2-222-2-2-2-2-2-22-22-2-2-2-222-22-2222-2-222-2-222000000000000000000000000000000
χ252222-2-222-22-222222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-2000000002-2000022000000-2-200000000000000
χ262222-2-222-22-222222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-200000000-220000-2-20000002200000000000000
χ272222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-21122-2-2-11-11-1-1-1-111-1-111000000−i3i3000000i3−i3−i3i3−i3i30000000000
χ282222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-21122-2-2-11-11-1-1-1-111-1-111000000i3−i3000000−i3i3i3−i3i3−i30000000000
χ292222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-2221-11-1-1-111-1-111-1-1000000−i3i3000000i3−i3i3−i3i3−i30000000000
χ302222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-2221-11-1-1-111-1-111-1-1000000i3−i3000000−i3i3−i3i3−i3i30000000000
χ312222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-200110000−i3i3i3−i311−i3−i3i3i3i3i3−i3−i32-20000-1-100000011−i3i3i3−i30000000000
χ322222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-200110000−i3i3i3−i311−i3−i3i3i3i3i3−i3−i3-22000011000000-1-1i3−i3−i3i30000000000
χ332222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-200110000i3−i3−i3i311i3i3−i3−i3−i3−i3i3i32-20000-1-100000011i3−i3−i3i30000000000
χ342222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-200110000i3−i3−i3i311i3i3−i3−i3−i3−i3i3i3-22000011000000-1-1−i3i3i3−i30000000000
χ352222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-1112-22-2-1-1-1-111-1-1110000000000−i3−i3i3i3000000−i3−i3i3i3000000
χ362222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-1112-22-2-1-1-1-111-1-1110000000000i3i3−i3−i3000000i3i3−i3−i3000000
χ372222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-1-221111-1-1-22-22-1-111-1-111-1-10000000000−i3−i3i3i3000000i3i3−i3−i3000000
χ382222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-1-221111-1-1-22-22-1-111-1-111-1-10000000000i3i3−i3−i3000000−i3−i3i3i3000000
χ392-2-222-22222-2-2-2-2-2-22222-22-22-2-222-22-22-222-2-2-2002-2000000002-200000000000000002i−2i00000000002i−2i2i−2i000000
χ402-2-222-22222-2-2-2-2-2-22222-22-22-2-222-22-22-222-2-2-2002-2000000002-20000000000000000−2i2i0000000000−2i2i−2i2i000000
χ412-2-222-222-2-222-2-2-2-22222-22-22-2-2-2-22-22-22-2-2222002-200000000-220000000000000000000000000000000000002-2
χ422-2-222-222-2-222-2-2-2-22222-22-22-2-2-2-22-22-22-2-2222002-200000000-22000000000000000000000000000000000000-22
χ432-2-222-2-1222-2-211-2-2-12-1-112-2-111-1-112-22-2-1-111100-113−33−30000-113−33−33−33−3000000002i−2i−i3i3−i3i3000000−ii−ii000000
χ442-2-222-2-1222-2-211-2-2-12-1-112-2-111-1-112-22-2-1-111100-113−33−30000-113−33−33−33−300000000−2i2ii3−i3i3−i3000000i−ii−i000000
χ452-2-222-2-1222-2-211-2-2-12-1-112-2-111-1-112-22-2-1-111100-11−33−330000-11−33−33−33−33000000002i−2ii3−i3i3−i3000000−ii−ii000000
χ462-2-222-2-1222-2-211-2-2-12-1-112-2-111-1-112-22-2-1-111100-11−33−330000-11−33−33−33−3300000000−2i2i−i3i3−i3i3000000i−ii−i000000
χ472-2-22-22222-2-22-2-2-2-2222-22-222-2-22-222-2-22-2-222-200-22000000002-20000000000002-200002-2-220000000000000000
χ482-2-22-22222-2-22-2-2-2-2222-22-222-2-22-222-2-22-2-222-200-22000000002-2000000000000-220000-222-20000000000000000
χ492-2-22-2222-222-2-2-2-2-2222-22-222-2-2-22-2-222-222-2-2200-2200000000-220000000000000000000000000000000022-2-200
χ502-2-22-2222-222-2-2-2-2-2222-22-222-2-2-22-2-222-222-2-2200-2200000000-2200000000000000000000000000000000-2-22200
χ512-2-22-22-122-2-2211-2-2-12-11-1-22-111-11-12-2-2211-1-11001-13−3−330000-113−3−333−3−3300002-20000-111-10000003−3−33000000
χ522-2-22-22-122-2-2211-2-2-12-11-1-22-111-11-12-2-2211-1-11001-13−3−330000-113−3−333−3−330000-2200001-1-11000000−333−3000000
χ532-2-22-22-122-2-2211-2-2-12-11-1-22-111-11-12-2-2211-1-11001-1−333−30000-11−333−3−333−300002-20000-111-1000000−333−3000000
χ542-2-22-22-122-2-2211-2-2-12-11-1-22-111-11-12-2-2211-1-11001-1−333−30000-11−333−3−333−30000-2200001-1-110000003−3−33000000
χ55444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2222-4-4-4-42222200-2-2000000002200000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-1200110000−2i3−2i32i32i3-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-12001100002i32i3−2i3−2i3-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-4-4-24-44-44-2-244-24-222-4-4-2-2-22-2-2-4-444-2-2-2-220022000000002200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2-222-1-1-1-1-24-4-1-1-2-222-22-221111-1-111-1-1000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2-222-1-1-1-1-2-44-1-122-2-22-22-211-1-111-1-111000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-222-2-21111200-1-10000−2i32i32i3−2i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-222-2-21111200-1-100002i3−2i3−2i32i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ6544-4-4004400004-44-4-4-440000-44-400000000000000000000000000000000000000000000000000000000002-22-200
χ6644-4-4004400004-44-4-4-440000-44-40000000000000000000000000000000000000000000000000000000000-22-2200
χ674-44-400440000-44-44-4-440000-4-4400000000000000000000000000000000000000000000000000000000002-2-2200
χ684-44-400440000-44-44-4-440000-4-440000000000000000000000000000000000000000000000000000000000-222-200
χ694-4-444-44-244-4-4-4-4224-2-24-4-22-22244-4-22-22-2-222-400-2200000000-2200000000000000000000000000000000000000
χ704-4-444-44-2-4-444-4-4224-2-24-4-22-222-4-442-22-222-2-2400-22000000002-200000000000000000000000000000000000000
χ714-4-444-4-24-4-44422-4-4-24-2-224-4-22222-2-44-4422-2-2-200-22000000002-200000000000000000000000000000000000000
χ724-4-444-4-2-244-4-42222-2-21-22-221-1-1-2-22-22-2211-1-12001-123−2323−2300001-1−33−33−33−33000000000000000000000000000000
χ734-4-444-4-2-244-4-42222-2-21-22-221-1-1-2-22-22-2211-1-12001-1−2323−232300001-13−33−33−33−3000000000000000000000000000000
χ744-4-444-4-2-2-4-4442222-2-21-22-221-1-122-22-22-2-1-111-2001-100000000-113i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ754-4-444-4-2-2-4-4442222-2-21-22-221-1-122-22-22-2-1-111-2001-100000000-11−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ764-4-44-444-24-4-44-4-4224-2-2-442-2-2224-44-222-222-2-2-4002-200000000-2200000000000000000000000000000000000000
χ774-4-44-444-2-444-4-4-4224-2-2-442-2-222-44-42-2-22-2-2224002-2000000002-200000000000000000000000000000000000000
χ784-4-44-44-24-444-422-4-4-24-22-2-44-2222-22-444-4-2-222-2002-2000000002-200000000000000000000000000000000000000
χ794-4-44-44-2-24-4-442222-2-212-22-21-1-1-22-2-222-2-1-111200-1123−23−232300001-1−333−3−333−3000000000000000000000000000000
χ804-4-44-44-2-24-4-442222-2-212-22-21-1-1-22-2-222-2-1-111200-11−232323−2300001-13−3−333−3−33000000000000000000000000000000
χ814-4-44-44-2-2-444-42222-2-212-22-21-1-12-222-2-2211-1-1-200-1100000000-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ824-4-44-44-2-2-444-42222-2-212-22-21-1-12-222-2-2211-1-1-200-1100000000-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ8388-8-8008-400008-8-44-84-400004-440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-84-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-444420000-22-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-444420000-22-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-884-4-84-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-884-8-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-44-44420000-2-2200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-44-44420000-2-220000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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