Finite Group Databasebeta

← Group #11864592

Character table — Group #11864592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order122233446666662222234666666666661212121266666666666666661212121212128888224424448824242424242424242224446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-1-11-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-1111111111-1-11-1-111-1-111-1-1-1-1-111-11-1-11
χ61111111111111111-1-1-11-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-111111-1-111-11-1
χ71111111111111111-1-1-11-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-111-1-1-11111-1-1111-1-11-11-11
χ81111111111111111-1-1-11-1-1-1-1-111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-111-111-1-111-1-111-1-1-111-1-111-1
χ911111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-111-1-111111111-111-1-1-111-1-111-1-111-1-1-1-1-111-1
χ1011111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-11111-11-11
χ1111111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-11-11-1-1-11111-1-1-1-111111-11-1
χ1211111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-111-1-11111-1-1-1-11-1-11
χ1311111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1
χ1411111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-111-1-1-111
χ1511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-111-111-1-1
χ1611111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111
χ17222222-2-2222222000022-222222222222-2-2-2-20000000000000000-2-2-2-2-2-2000022-2-20000000000000000-20020000
χ18222222-2-2222222000022-222222222222-2-2-2-20000000000000000-2-2-2-2-2-20000-2-2220000000000000000200-20000
χ19222222-2-22222220000-222-2-2-2-222-2-2-2-22-2-2-2-2000000000000000022-2-222000022-2-20000000000000000200-20000
χ20222222-2-22222220000-222-2-2-2-222-2-2-2-22-2-2-2-2000000000000000022-2-2220000-2-2220000000000000000-20020000
χ2122222-1222-1-12-1222222-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-1222-1-12-1222222-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-1222-1-12-1222-2-2-2-1-2-2-211-1-11111-1-1-12222-2-2-1-111-1-1-1-111111-2-1-111220000002-200-20-1-1110000000000-1100
χ2422222-1222-1-12-1222-2-2-2-1-2-2-211-1-11111-1-1-12222-2-2-1-111-1-1-1-111111-2-1-111-2-2000000-22002011-1-100000000001-100
χ2522222-1222-1-12-12-2-222-2-1-2-2-211-1-11111-1-1-122-2-22211-1-11111-1-1-1-11-2-1-11122000000-2200-20-1-11100000000001-100
χ2622222-1222-1-12-12-2-222-2-1-2-2-211-1-11111-1-1-122-2-22211-1-11111-1-1-1-11-2-1-111-2-20000002-2002011-1-10000000000-1100
χ2722222-1222-1-12-12-2-2-2-22-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111111111-12-1-1-1-122000000-2-20020-1-1-1-100000000001100
χ2822222-1222-1-12-12-2-2-2-22-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111111111-12-1-1-1-1-2-20000002200-2011110000000000-1-100
χ292222-1222-122-12-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-122-12-122222-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-122-12-122-2-2-2-1-211-2-2-1-11111-122-1-1-1-11122-2-2-1-1-1-11111-21-1-1110022000000-220-20000-1-111000000001-1
χ322222-1222-122-12-122-2-2-2-1-211-2-2-1-11111-122-1-1-1-11122-2-2-1-1-1-11111-21-1-11100-2-20000002-202000011-1-100000000-11
χ332222-1222-122-12-1-2-222-2-1-211-2-2-1-11111-122-1-111-1-1-2-2221111-1-1-1-1-21-1-11100220000002-20-20000-1-11100000000-11
χ342222-1222-122-12-1-2-222-2-1-211-2-2-1-11111-122-1-111-1-1-2-2221111-1-1-1-1-21-1-11100-2-2000000-2202000011-1-1000000001-1
χ352222-1222-122-12-1-2-2-2-22-12-1-122-1-1-1-1-1-1-122-1-11111-2-2-2-2111111112-1-1-1-1-10022000000-2-2020000-1-1-1-10000000011
χ362222-1222-122-12-1-2-2-2-22-12-1-122-1-1-1-1-1-1-122-1-11111-2-2-2-2111111112-1-1-1-1-100-2-2000000220-20000111100000000-1-1
χ372-2-22222-2-2-22-2-22002-20200000-2-2000022-22-2002-2002-2000022-2-2002-20000002-22-2000000000000002-200000000
χ382-2-22222-2-2-22-2-22002-20200000-2-2000022-22-2002-2002-2000022-2-2002-2000000-22-2200000000000000-2200000000
χ392-2-22222-2-2-22-2-2200-220200000-2-2000022-22-200-2200-220000-2-222002-20000002-22-200000000000000-2200000000
χ402-2-22222-2-2-22-2-2200-220200000-2-2000022-22-200-2200-220000-2-222002-2000000-22-22000000000000002-200000000
χ412-2-2222-22-2-22-2-222-2000200000-2-200002-22-222-2002-20022-2-2000000-220000002-2-22000000000000000002-200000
χ422-2-2222-22-2-22-2-222-2000200000-2-200002-22-222-2002-20022-2-2000000-22000000-222-200000000000000000-2200000
χ432-2-2222-22-2-22-2-22-22000200000-2-200002-22-22-2200-2200-2-222000000-220000002-2-2200000000000000000-2200000
χ442-2-2222-22-2-22-2-22-22000200000-2-200002-22-22-2200-2200-2-222000000-22000000-222-2000000000000000002-200000
χ4544444-2-4-44-2-24-2400004-2-444-2-2-2-2-2-2-2-2-222-4-400000000000000002-4222200000000000000000000000000000000
χ4644444-2-4-44-2-24-240000-4-24-4-422-2-22222-222-4-40000000000000000-2422-2-200000000000000000000000000000000
χ474444-24-4-4-244-24-200004-2-4-2-244-2-2-2-2-2-2-2-4-4220000000000000000-42222200000000000000000000000000000000
χ484444-24-4-4-244-24-20000-4-2422-4-4-2-22222-2-4-42200000000000000004-222-2-200000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24444414-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-244-4-4-41-4222211-1-1-1-11-2-2-2-2-2-222-2-2221111-1-1-1-12211-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-444-41-4222211-1-1-1-11-2-2-2-222-2-222-2-2-1-1-1-111112211-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-4-4-4414-2-2-2-21111111-2-2-2-222222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-211111112222000000003-33-33-33-322-1-1-1-100000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-21111111222200000000-33-33-33-3322-1-1-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-112222000000003-33-3-33-33-2-2-1-11100000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-11222200000000-33-333-33-3-2-2-1-11100000000000000000000000000000000
χ5744-4-4440044-4-4-4-4000004000004-40000-40000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ5844-4-4440044-4-4-4-4000004000004-40000-400000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ5944-4-4-2400-24-42-4200000-20−2i32i300-22−2i3−2i32i32i320000000000000000000000000000−2i22i200000000000000i2−i26−60000000000
χ6044-4-4-2400-24-42-4200000-20−2i32i300-22−2i3−2i32i32i3200000000000000000000000000002i2−2i200000000000000−i2i2−660000000000
χ6144-4-4-2400-24-42-4200000-202i3−2i300-222i32i3−2i3−2i320000000000000000000000000000−2i22i200000000000000i2−i2−660000000000
χ6244-4-4-2400-24-42-4200000-202i3−2i300-222i32i3−2i3−2i3200000000000000000000000000002i2−2i200000000000000−i2i26−60000000000
χ634-44-44400-4-4-444-400000400000-440000-40000000000000000000000000022−2200000000000022−220000000000000000
χ644-44-44400-4-4-444-400000400000-440000-400000000000000000000000000−2222000000000000−22220000000000000000
χ654-44-44-200-4224-2-400000-2000−2i32i32-2−2i32i3−2i32i320000000000000000000000000022−22000000000000−22i6−i600000000000000
χ664-44-44-200-4224-2-400000-2000−2i32i32-2−2i32i3−2i32i3200000000000000000000000000−22220000000000002−2−i6i600000000000000
χ674-44-44-200-4224-2-400000-20002i3−2i32-22i3−2i32i3−2i320000000000000000000000000022−22000000000000−22−i6i600000000000000
χ684-44-44-200-4224-2-400000-20002i3−2i32-22i3−2i32i3−2i3200000000000000000000000000−22220000000000002−2i6−i600000000000000
χ694-4-444-24-4-42-2-424004-40-200000220000-2-224-4004-400-220000-2-22200-220000000000000000000000000000000000
χ704-4-444-24-4-42-2-42400-440-200000220000-2-224-400-44002-2000022-2-200-220000000000000000000000000000000000
χ714-4-444-2-44-42-2-4244-4000-200000220000-22-2-444-400-2200-2-2220000002-20000000000000000000000000000000000
χ724-4-444-2-44-42-2-424-44000-200000220000-22-2-44-44002-20022-2-20000002-20000000000000000000000000000000000
χ734-4-44-244-42-442-4-2004-40-200000220000-24-4-2200-22004-40000-2-22200-220000000000000000000000000000000000
χ744-4-44-244-42-442-4-200-440-200000220000-24-4-22002-200-44000022-2-200-220000000000000000000000000000000000
χ754-4-44-24-442-442-4-24-4000-200000220000-2-442-2-22004-400-2-2220000002-20000000000000000000000000000000000
χ764-4-44-24-442-442-4-2-44000-200000220000-2-442-22-200-440022-2-20000002-20000000000000000000000000000000000
χ774-4-44-2-24-422-222-2004-40100000-1-13-3-331-22-2200-2200-223-3-3311-1-1001-13-300000000000000000000000000000000
χ784-4-44-2-24-422-222-2004-40100000-1-1-333-31-22-2200-2200-22-333-311-1-1001-1-3300000000000000000000000000000000
χ794-4-44-2-24-422-222-200-440100000-1-13-3-331-22-22002-2002-2-333-3-1-111001-13-300000000000000000000000000000000
χ804-4-44-2-24-422-222-200-440100000-1-1-333-31-22-22002-2002-23-3-33-1-111001-1-3300000000000000000000000000000000
χ814-4-44-2-2-4422-222-24-4000100000-1-13-3-3312-22-2-2200-220011-1-13-3-3300-11-3300000000000000000000000000000000
χ824-4-44-2-2-4422-222-24-4000100000-1-1-333-312-22-2-2200-220011-1-1-333-300-113-300000000000000000000000000000000
χ834-4-44-2-2-4422-222-2-44000100000-1-13-3-3312-22-22-2002-200-1-111-333-300-11-3300000000000000000000000000000000
χ844-4-44-2-2-4422-222-2-44000100000-1-1-333-312-22-22-2002-200-1-1113-3-3300-113-300000000000000000000000000000000
χ8588-8-88-4008-44-84-800000-400000-44000040000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-444440000020−4i34i3002-22i32i3−2i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-4-4444400000204i3−4i3002-2−2i3−2i32i32i3-20000000000000000000000000000000000000000000000000000000000
χ888-88-8-48004-8-8-48400000-4000004-4000040000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400444-4-44000002000−4i34i3-222i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400444-4-440000020004i3−4i3-22−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000

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