Finite Group Databasebeta

← Group #11792205

Character table — Group #11792205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121224446688881212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-22-222-2-222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000
χ112222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-100000000000000
χ122222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211000011111100000000000000
χ132222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-1111111112-2-22-1-100001111-1-100000000000000
χ142222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-111111111-222-2110000-1-1-1-11100000000000000
χ152222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-111110000−i3i30000−i3−i3i3i3−i3i300000000000000
χ162222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-111110000i3−i30000i3i3−i3−i3i3−i300000000000000
χ172222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-10000−i3i30000i3i3−i3−i3−i3i300000000000000
χ182222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-10000i3−i30000−i3−i3i3i3i3−i300000000000000
χ19222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-1000000
χ20222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000011111111000000
χ21222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-11111111100000022-2-2000000-1-1-1-11111000000
χ22222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-111111111000000-2-2220000001111-1-1-1-1000000
χ23222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-11111000000000000000033−3−333−3−3000000
χ24222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-111110000000000000000−3−333−3−333000000
χ25222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-1000000000000000033−3−3−3−333000000
χ26222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-10000000000000000−3−33333−3−3000000
χ272222-2-2222-22-22222222-2-2-2-222-2-2-2-222-222-2-22-2000000000022-2-20000000002-200000002-22-20000000000000000
χ282222-2-2222-22-22222222-2-2-2-222-2-2-2-222-222-2-22-2000000000022-2-2000000000-220000000-22-220000000000000000
χ292222-2-222-22-222222222-2-2-2-222-2-2-2-22-22-2-222-220000000000-2-22200000000200-22200000000-2-200000000000000
χ302222-2-222-22-222222222-2-2-2-222-2-2-2-22-22-2-222-220000000000-2-22200000000-2002-2-2000000002200000000000000
χ312222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1-1112-2000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i302-20−i3i30000-11-11i3−i300000000000000
χ322222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1-1112-2000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i30-220i3−i300001-11-1−i3i300000000000000
χ332222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1-1112-2000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i302-20i3−i30000-11-11−i3i300000000000000
χ342222-2-22-12-22-2222-1-1-1-1-2-211-1-11111-12-2-1-1112-2000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i30-220−i3i300001-11-1i3−i300000000000000
χ352222-2-22-1-22-22222-1-1-1-1-2-211-1-11111-1-2211-1-1-22000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3200-2-1-10000−i3i3i3−i31100000000000000
χ362222-2-22-1-22-22222-1-1-1-1-2-211-1-11111-1-2211-1-1-22000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2002110000i3−i3−i3i3-1-100000000000000
χ372222-2-22-1-22-22222-1-1-1-1-2-211-1-11111-1-2211-1-1-22000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3200-2-1-10000i3−i3−i3i31100000000000000
χ382222-2-22-1-22-22222-1-1-1-1-2-211-1-11111-1-2211-1-1-22000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2002110000−i3i3i3−i3-1-100000000000000
χ392-2-222-22222-2-2-2-22-2-2222-22-2-2-222-2-22222-22-2-2-200000000002-22-2000000000000002i−2i000000002i−2i2i−2i0000000000
χ402-2-222-22222-2-2-2-22-2-2222-22-2-2-222-2-22222-22-2-2-200000000002-22-200000000000000−2i2i00000000−2i2i−2i2i0000000000
χ412-2-222-222-2-222-2-22-2-2222-22-2-2-222-2-22-2-2-22-22220000000000-22-2200000000000000002-200000000002-22-2000000
χ422-2-222-222-2-222-2-22-2-2222-22-2-2-222-2-22-2-2-22-22220000000000-22-220000000000000000-220000000000-22-22000000
χ432-2-222-2-1222-2-211-1-2-22-1-112-211-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i30000002i−2i00000000−ii−ii3−3−33000000
χ442-2-222-2-1222-2-211-1-2-22-1-112-211-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i3000000−2i2i00000000i−ii−i−333−3000000
χ452-2-222-2-1222-2-211-1-2-22-1-112-211-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i30000002i−2i00000000−ii−ii−333−3000000
χ462-2-222-2-1222-2-211-1-2-22-1-112-211-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i3000000−2i2i00000000i−ii−i3−3−33000000
χ472-2-222-2-12-2-22211-1-2-22-1-112-211-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3i3−i3i3i3−i3i3−i3000000002-2000000−i3i3i3−i3-11-11000000
χ482-2-222-2-12-2-22211-1-2-22-1-112-211-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3i3−i3i3i3−i3i3−i300000000-22000000i3−i3−i3i31-11-1000000
χ492-2-222-2-12-2-22211-1-2-22-1-112-211-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3−i3i3−i3−i3i3−i3i3000000002-2000000i3−i3−i3i3-11-11000000
χ502-2-222-2-12-2-22211-1-2-22-1-112-211-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3−i3i3−i3−i3i3−i3i300000000-22000000−i3i3i3−i31-11-1000000
χ512-2-22-22222-2-22-2-22-2-222-22-22-2-2-2-22222-22-2-22-2200000000002-2-220000000000000000000000000000000000002-2
χ522-2-22-22222-2-22-2-22-2-222-22-22-2-2-2-22222-22-2-22-2200000000002-2-22000000000000000000000000000000000000-22
χ532-2-22-2222-222-2-2-22-2-222-22-22-2-2-2-2222-22-222-22-20000000000-222-20000000000000000000000000000000022-2-200
χ542-2-22-2222-222-2-2-22-2-222-22-22-2-2-2-2222-22-222-22-20000000000-222-200000000000000000000000000000000-2-22200
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-4422-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ594444-4-4-244-44-4-2-2-2444-222-4-4-2-22222-2-2244-4-4-220000000000-2-22200000000000000000000000000000000000000
χ604444-4-4-24-44-44-2-2-2444-222-4-4-2-22222-22-2-4-4442-2000000000022-2-200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-22-2-222-22000000−2i32i3−2i32i311-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-21222211-1-1-1-11-22-2-222-220000002i3−2i32i3−2i311-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-112-222-2-22-2000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-21222211-1-1-1-112-222-2-22-20000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ6544-4-4004400004-4-44-4-4400004-40000-40000000000000000000000000000000000000000000000000000002-22-200
χ6644-4-4004400004-4-44-4-4400004-40000-4000000000000000000000000000000000000000000000000000000-22-2200
χ674-44-400440000-44-4-44-440000-440000-40000000000000000000000000000000000000000000000000000002-2-2200
χ684-44-400440000-44-4-44-440000-440000-4000000000000000000000000000000000000000000000000000000-222-200
χ694-4-444-44-244-4-4-4-4422-2-24-4-2222-2-222-244-22-22-4-40000000000-22-2200000000000000000000000000000000000000
χ704-4-444-44-2-4-444-4-4422-2-24-4-2222-2-222-2-4-42-22-24400000000002-22-200000000000000000000000000000000000000
χ714-4-444-4-2-244-4-422-222-21-22-22-1-111-1-11-2-2-22-222200−2i32i3−2i32i300001-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ724-4-444-4-2-244-4-422-222-21-22-22-1-111-1-11-2-2-22-2222002i3−2i32i3−2i300001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ734-4-444-4-2-2-4-44422-222-21-22-22-1-111-1-11222-22-2-2-200−2i32i32i3−2i30000-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ744-4-444-4-2-2-4-44422-222-21-22-22-1-111-1-11222-22-2-2-2002i3−2i3−2i32i30000-11-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ754-4-44-444-24-4-44-4-4422-2-2-442-22222-2-2-24-4-222-2-440000000000-222-200000000000000000000000000000000000000
χ764-4-44-444-2-444-4-4-4422-2-2-442-22222-2-2-2-442-2-224-400000000002-2-2200000000000000000000000000000000000000
χ774-4-44-44-244-4-4422-2-4-44-22-2-442222-2-2-2-224-4-442-20000000000-222-200000000000000000000000000000000000000
χ784-4-44-44-24-444-422-2-4-44-22-2-442222-2-2-22-2-444-4-2200000000002-2-2200000000000000000000000000000000000000
χ794-4-44-44-2-24-4-4422-222-212-22-2-1-1-1-1111-22-222-22-200000000001-1-113-3-333-3-33000000000000000000000000000000
χ804-4-44-44-2-24-4-4422-222-212-22-2-1-1-1-1111-22-222-22-200000000001-1-11-333-3-333-3000000000000000000000000000000
χ814-4-44-44-2-2-444-422-222-212-22-2-1-1-1-11112-22-2-22-220000000000-111-13-3-33-333-3000000000000000000000000000000
χ824-4-44-44-2-2-444-422-222-212-22-2-1-1-1-11112-22-2-22-220000000000-111-1-333-33-3-33000000000000000000000000000000
χ8388-8-8008-400008-8-8-444-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-4448-8-8-40000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-444-444200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-444-444200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-88-84-44-400004-400004000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-44-88-8-400004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-444-4420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-444-4420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000

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