Finite Group Databasebeta

← Group #11889230

Character table — Group #11889230

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666622234666666666661212121212122666666666666666612121212124488884444488121212122424242424242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ51111111111111111-11-1-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-111111111-11-1-1-111-1-111-1-111-1-11-1-11-1-11
χ61111111111111111-11-1-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1-1-11111-1-1-111-111-1
χ71111111111111111-11-1-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1-11111-1-1-1-111-1111-11-1
χ81111111111111111-11-1-1-1-1-111-1-1-1-111-1-1111-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111-1-111-1-111-1-1111-1-1-11-11
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-1-11-111111111-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-11111
χ1311111111111111-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-1-1-11-1111-1-111-1-1-1-111-111-11-11
χ1411111111111111-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-111-11-11111-1-1-1-111-1-1111-1-11-11-1
χ1511111111111111-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-11111111-11-1-1-1-11111-1-111-1-11-1-1-111-1
χ1611111111111111-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-1-1-111-11-1-1-111-1-11111-1-1-1111-1-11
χ17222222-2-22222220022-222222222222-2-2-2-2-2-200000000000000000-2-2-2-2-20000002200000000000000000-2-220000
χ18222222-2-22222220022-222222222222-2-2-2-2-2-200000000000000000-2-2-2-2-2000000-2-20000000000000000022-20000
χ19222222-2-222222200-222-2-2-2-222-2-2-2-22-222-2-2-2000000000000000002-2-2220000002200000000000000000-22-20000
χ20222222-2-222222200-222-2-2-2-222-2-2-2-22-222-2-2-2000000000000000002-2-222000000-2-2000000000000000002-220000
χ2122222-1222-12-1-12222-1222-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12222000020002-1-1-1-10000-1-1-1-10000000
χ2222222-1222-12-1-12222-1222-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-20000-2000-21111000011110000000
χ2322222-1222-12-1-1222-2-1-2-2-211-1-11111-1-11122-1-222-1-1-2-211-1-1-1-11111-2-1-11122220000-2000-2-1-1110000-1-1110000000
χ2422222-1222-12-1-1222-2-1-2-2-211-1-11111-1-11122-1-222-1-1-2-211-1-1-1-11111-2-1-111-2-2-2-200002000211-1-1000011-1-10000000
χ2522222-1222-12-1-12-2-22-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-211-2-211111111112-1-1-1-122-2-200002000-2-1-1-1-1000011110000000
χ2622222-1222-12-1-12-2-22-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-211-2-211111111112-1-1-1-1-2-2220000-2000211110000-1-1-1-10000000
χ2722222-1222-12-1-12-2-2-2-1-2-2-211-1-11111-1-11122-12-2-21122-1-11111-1-1-1-1-2-1-11122-2-20000-20002-1-111000011-1-10000000
χ2822222-1222-12-1-12-2-2-2-1-2-2-211-1-11111-1-11122-12-2-21122-1-11111-1-1-1-1-2-1-111-2-22200002000-211-1-10000-1-1110000000
χ292222-1222-12-122-1222-12-1-122-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100002200022200000-1-1-1-10000000-1-100
χ302222-1222-12-122-1222-12-1-122-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-2-200000111100000001100
χ312222-1222-12-122-122-2-1-211-2-2-1-11111-12-2-2-1-12-2-1-12211-2-2-1-1-1-111111-1-1110000220002-2-200000-1-1110000000-1100
χ322222-1222-12-122-122-2-1-211-2-2-1-11111-12-2-2-1-12-2-1-12211-2-2-1-1-1-111111-1-1110000-2-2000-2220000011-1-100000001-100
χ332222-1222-12-122-1-2-22-12-1-122-1-1-1-1-1-1-1222-1-12-211-2-211-2-211111111-1-1-1-1-1000022000-2-2200000-1-1-1-100000001100
χ342222-1222-12-122-1-2-22-12-1-122-1-1-1-1-1-1-1222-1-12-211-2-211-2-211111111-1-1-1-1-10000-2-200022-20000011110000000-1-100
χ352222-1222-12-122-1-2-2-2-1-211-2-2-1-11111-12-2-2-1-12211-2-2-1-1221111-1-1-1-11-1-111000022000-22-200000-1-11100000001-100
χ362222-1222-12-122-1-2-2-2-1-211-2-2-1-11111-12-2-2-1-12211-2-2-1-1221111-1-1-1-11-1-1110000-2-20002-220000011-1-10000000-1100
χ372-2-22222-2-22-2-2-222-20200000-2-2000022002-2-202-22-2000022-2-2000002-2002i−2i2i−2i0000000002i−2i0000002i−2i000000000
χ382-2-22222-2-22-2-2-222-20200000-2-2000022002-2-202-22-2000022-2-2000002-200−2i2i−2i2i000000000−2i2i000000−2i2i000000000
χ392-2-22222-2-22-2-2-22-220200000-2-2000022002-2-20-22-220000-2-222000002-2002i−2i−2i2i0000000002i−2i000000−2i2i000000000
χ402-2-22222-2-22-2-2-22-220200000-2-2000022002-2-20-22-220000-2-222000002-200−2i2i2i−2i000000000−2i2i0000002i−2i000000000
χ412-2-222-12-2-2-1-21122-20-1000−i3i311−i3−i3i3i3-1-1−i3i32-2102-2-1100−i3i3-1-111−i3−i3i3i30-11−i3i32i−2i2i−2i000000000−ii3−30000−ii3−30000000
χ422-2-222-12-2-2-1-21122-20-1000−i3i311−i3−i3i3i3-1-1−i3i32-2102-2-1100−i3i3-1-111−i3−i3i3i30-11−i3i3−2i2i−2i2i000000000i−i−330000i−i−330000000
χ432-2-222-12-2-2-1-21122-20-1000i3−i311i3i3−i3−i3-1-1i3−i32-2102-2-1100i3−i3-1-111i3i3−i3−i30-11i3−i32i−2i2i−2i000000000−ii−330000−ii−330000000
χ442-2-222-12-2-2-1-21122-20-1000i3−i311i3i3−i3−i3-1-1i3−i32-2102-2-1100i3−i3-1-111i3i3−i3−i30-11i3−i3−2i2i−2i2i000000000i−i3−30000i−i3−30000000
χ452-2-222-12-2-2-1-2112-220-1000−i3i311−i3−i3i3i3-1-1−i3i32-210-221-100i3−i311-1-1i3i3−i3−i30-11−i3i32i−2i−2i2i000000000−ii3−30000i−i−330000000
χ462-2-222-12-2-2-1-2112-220-1000−i3i311−i3−i3i3i3-1-1−i3i32-210-221-100i3−i311-1-1i3i3−i3−i30-11−i3i3−2i2i2i−2i000000000i−i−330000−ii3−30000000
χ472-2-222-12-2-2-1-2112-220-1000i3−i311i3i3−i3−i3-1-1i3−i32-210-221-100−i3i311-1-1−i3−i3i3i30-11i3−i32i−2i−2i2i000000000−ii−330000i−i3−30000000
χ482-2-222-12-2-2-1-2112-220-1000i3−i311i3i3−i3−i3-1-1i3−i32-210-221-100−i3i311-1-1−i3−i3i3i30-11i3−i3−2i2i2i−2i000000000i−i3−30000−ii−330000000
χ4944444-2-4-44-24-2-24004-2-444-2-2-2-2-2-2-2-2-2222-4-4200000000000000000-4222200000000000000000000000000000000
χ5044444-2-4-44-24-2-2400-4-24-4-422-2-22222-22-2-2-4-4200000000000000000422-2-200000000000000000000000000000000
χ514444-24-4-4-24-244-2004-2-4-2-244-2-2-2-2-2-2-2-4-4-422-4000000000000000002222200000000000000000000000000000000
χ524444-24-4-4-24-244-200-4-2422-4-4-2-22222-2-44422-400000000000000000-222-2-200000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244414-2-2-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-211111111-2111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-244-41-4222211-1-1-1-11-222-2-2-2-4-2-2-2-222221111-1-1-1-1211-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4414-2-2-2-21111111-2-2-2-2-2-2-422222222-1-1-1-1-1-1-1-1-2111100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-41-4222211-1-1-1-11-222-2-2-242222-2-2-2-2-1-1-1-11111211-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20041-4-2-2-2-211111112222220000000003-33-33-33-32-1-1-1-100000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20041-4-2-2-2-21111111222222000000000-33-33-33-332-1-1-1-100000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-200-414222211-1-1-1-112-2-22220000000003-33-3-33-33-2-1-11100000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-200-414222211-1-1-1-112-2-2222000000000-33-333-33-3-2-1-11100000000000000000000000000000000
χ6144-4-44400-4-444-4-40004000004-40000-400000000000000000000000000000000004i−4i000000000000000000000000
χ6244-4-44400-4-444-4-40004000004-40000-40000000000000000000000000000000000−4i4i000000000000000000000000
χ634-44-444004-4-4-44-4000400000-440000-400000000000000000000000000000000−2i22i200000000000−2i22i20000000000000
χ644-44-444004-4-4-44-4000400000-440000-4000000000000000000000000000000002i2−2i2000000000002i2−2i20000000000000
χ654-44-4-2400-2-42-442000-20−2i32i3002-2−2i32i3−2i32i3200000000000000000000000000000000−2i22i200000000000i2−i26−600000000000
χ664-44-4-2400-2-42-442000-20−2i32i3002-2−2i32i3−2i32i32000000000000000000000000000000002i2−2i200000000000−i2i2−6600000000000
χ674-44-4-2400-2-42-442000-202i3−2i3002-22i3−2i32i3−2i3200000000000000000000000000000000−2i22i200000000000i2−i2−6600000000000
χ684-44-4-2400-2-42-442000-202i3−2i3002-22i3−2i32i3−2i32000000000000000000000000000000002i2−2i200000000000−i2i26−600000000000
χ694-4-4444-44-44-4-4-44000400000-4-400004-400-444000000000000000000-440000000000000000000000000000000000
χ704-4-444-2-44-4-2-4224000-2000−2i32i322−2i3−2i32i32i3-222i3−2i3-44-20000000000000000002-22i3−2i300000000000000000000000000000000
χ714-4-444-2-44-4-2-4224000-20002i3−2i3222i32i3−2i3−2i3-22−2i32i3-44-20000000000000000002-2−2i32i300000000000000000000000000000000
χ724-4-44-244-4242-4-4-24-40-200000220000-2400-22-40-224-40000-2-22200000-220000000000000000000000000000000000
χ734-4-44-244-4242-4-4-2-440-200000220000-2400-22-402-2-44000022-2-200000-220000000000000000000000000000000000
χ744-4-44-24-44242-4-4-2000-200000220000-2-4002-2400000−2i32i3000000−2i32i32i3−2i302-20000000000000000000000000000000000
χ754-4-44-24-44242-4-4-2000-200000220000-2-4002-24000002i3−2i30000002i3−2i3−2i32i302-20000000000000000000000000000000000
χ764-4-44-2-24-42-2222-24-401000−2i32i3-1-1i3i3−i3−i31-2−2i32i3-2220-22-2200−2i32i311-1-1i3i3−i3−i301-1i3−i300000000000000000000000000000000
χ774-4-44-2-24-42-2222-24-4010002i3−2i3-1-1−i3−i3i3i31-22i3−2i3-2220-22-22002i3−2i311-1-1−i3−i3i3i301-1−i3i300000000000000000000000000000000
χ784-4-44-2-24-42-2222-2-4401000−2i32i3-1-1i3i3−i3−i31-2−2i32i3-22202-22-2002i3−2i3-1-111−i3−i3i3i301-1i3−i300000000000000000000000000000000
χ794-4-44-2-24-42-2222-2-44010002i3−2i3-1-1−i3−i3i3i31-22i3−2i3-22202-22-200−2i32i3-1-111i3i3−i3−i301-1−i3i300000000000000000000000000000000
χ804-4-44-2-2-442-2222-20001000−2i32i3-1-1i3i3−i3−i3122i3−2i32-2-200000−2i32i300-333-3i3−i3−i3i30-11−i3i300000000000000000000000000000000
χ814-4-44-2-2-442-2222-20001000−2i32i3-1-1i3i3−i3−i3122i3−2i32-2-2000002i3−2i3003-3-33−i3i3i3−i30-11−i3i300000000000000000000000000000000
χ824-4-44-2-2-442-2222-200010002i3−2i3-1-1−i3−i3i3i312−2i32i32-2-200000−2i32i3003-3-33i3−i3−i3i30-11i3−i300000000000000000000000000000000
χ834-4-44-2-2-442-2222-200010002i3−2i3-1-1−i3−i3i3i312−2i32i32-2-2000002i3−2i300-333-3−i3i3i3−i30-11i3−i300000000000000000000000000000000
χ8488-8-88-400-848-44-8000-400000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-48004-8-48-84000-400000-4400004000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-4-4440002000002-26-6-66-2000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-4-4440002000002-2-666-6-2000000000000000000000000000000000000000000000000000000000000
χ888-88-88-40084-84-4-8000-4000004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-4400020−4i34i300-222i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-44000204i3−4i300-22−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000

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