Finite Group Databasebeta

← Group #11884406

Character table — Group #11884406

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666234446666612121212121212121212121226666666666612121212121212121212228888442446666882424242424242424244121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-111-1-1
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
χ511111111111111111-1-111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11-1-111111-11111-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-11111
χ911111111111111-11-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-111-1-1-1-111-1-111-1-11-1-1-111-1
χ1011111111111111-11-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-11-1-1-11111-1-1-1111-1-11
χ1111111111111111-11-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-111-1111-1-1-1-111-111-11-11
χ1211111111111111-11-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-11-1-11111-1-111-1-1111-1-11-11-1
χ1311111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1-1-1111-1-1-1-111-1111-11-1
χ1411111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-11-111-1-111-1-111-1-1111-1-1-11-11
χ1511111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111111-11-1-111-1-111-1-111-1-11-1-11-1-11
χ1611111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-11111-1-1-111-111-1
χ17222222-2-222222222-20022222-2-2-2-2-2-2-2-2-2-2-2-20200002200000000-2-200000000002200000000000000000-2-220000
χ18222222-2-222222222-20022222-2-2-2-2-2-2-2-2-2-2-2-20200002200000000-2-20000000000-2-20000000000000000022-20000
χ19222222-2-2222222-22200-2-2222-222222222-2-2-20-20000-2-200000000-2-200000000002200000000000000000-22-20000
χ20222222-2-2222222-22200-2-2222-222222222-2-2-20-20000-2-200000000-2-20000000000-2-2000000000000000002-220000
χ2122222-1222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000200-1-1-1-1020000-1-1-1-10000000
χ2222222-1222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-20011110-2000011110000000
χ2322222-1222-1-1-1222-12-2-2-1-1-1-1-1-1-1-122-1-1-1-122-1-22-2-211-1-1111111-2-2-1-1111122-2-20000200-1-1-1-10-2000011110000000
χ2422222-1222-1-1-1222-12-2-2-1-1-1-1-1-1-1-122-1-1-1-122-1-22-2-211-1-1111111-2-2-1-11111-2-2220000-2001111020000-1-1-1-10000000
χ2522222-1222-1-1-122-2-1-22211-1-1-1-111-2-2111122-1-2-2-2-211111111-1-122-1-1-1-1-1-122220000-200-1-1110-20000-1-1110000000
χ2622222-1222-1-1-122-2-1-22211-1-1-1-111-2-2111122-1-2-2-2-211111111-1-122-1-1-1-1-1-1-2-2-2-2000020011-1-102000011-1-10000000
χ2722222-1222-1-1-122-2-1-2-2-211-1-1-1-111-2-2111122-12-222-1-111-1-1-1-111-2-2-1-1111122-2-20000-200-1-11102000011-1-10000000
χ2822222-1222-1-1-122-2-1-2-2-211-1-1-1-111-2-2111122-12-222-1-111-1-1-1-111-2-2-1-11111-2-222000020011-1-10-20000-1-1110000000
χ292222-1222-1222-1-12-122222-1-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200022000020-1-1-1-10000000-1-100
χ302222-1222-1222-1-12-122222-1-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2000-2-20000-20111100000001100
χ312222-1222-1222-1-12-12-2-222-1-1-1222-1-1-1-1-1-1-1-12-2-111-2-2-1-11111-2-211-1-11111000022000-2-2000020-1-1-1-100000001100
χ322222-1222-1222-1-12-12-2-222-1-1-1222-1-1-1-1-1-1-1-12-2-111-2-2-1-11111-2-211-1-111110000-2-2000220000-2011110000000-1-100
χ332222-1222-1222-1-1-2-1-222-2-2-1-1-12-2-2111111-1-12-2111-2-211111122-1-1-1-1-1-1-1-10000220002-20000-20-1-11100000001-100
χ342222-1222-1222-1-1-2-1-222-2-2-1-1-12-2-2111111-1-12-2111-2-211111122-1-1-1-1-1-1-1-10000-2-2000-2200002011-1-10000000-1100
χ352222-1222-1222-1-1-2-1-2-2-2-2-2-1-1-12-2-2111111-1-1221-1-12211-1-1-1-1-2-211-1-11111000022000-220000-20-1-1110000000-1100
χ362222-1222-1222-1-1-2-1-2-2-2-2-2-1-1-12-2-2111111-1-1221-1-12211-1-1-1-1-2-211-1-111110000-2-20002-200002011-1-100000001-100
χ372-22-222-22-2-2-22-220202-200-2-22-2000000002-220000000000002-22-22-222-2-22-22-200000002-2000000002-2000000000
χ382-22-222-22-2-2-22-220202-200-2-22-2000000002-220000000000002-22-22-222-2-2-22-220000000-2200000000-22000000000
χ392-22-222-22-2-2-22-22020-2200-2-22-2000000002-22000000000000-22-222-2-2-2222-2-2200000002-200000000-22000000000
χ402-22-222-22-2-2-22-22020-2200-2-22-2000000002-22000000000000-22-222-2-2-222-222-20000000-22000000002-2000000000
χ412-22-22-1-22-211-1-220-102-2−i3i311-11−i3i300−i3−i3i3i32-2-10000−i3i3−i3i3−i3−i3i3i3-112-2-11-1-1112-22-20000000-11−i3i3000000-11−i3i30000000
χ422-22-22-1-22-211-1-220-102-2−i3i311-11−i3i300−i3−i3i3i32-2-10000−i3i3−i3i3−i3−i3i3i3-112-2-11-1-111-22-2200000001-1i3−i30000001-1i3−i30000000
χ432-22-22-1-22-211-1-220-102-2i3−i311-11i3−i300i3i3−i3−i32-2-10000i3−i3i3−i3i3i3−i3−i3-112-2-11-1-1112-22-20000000-11i3−i3000000-11i3−i30000000
χ442-22-22-1-22-211-1-220-102-2i3−i311-11i3−i300i3i3−i3−i32-2-10000i3−i3i3−i3i3i3−i3−i3-112-2-11-1-111-22-2200000001-1−i3i30000001-1−i3i30000000
χ452-22-22-1-22-211-1-220-10-22−i3i311-11−i3i300−i3−i3i3i32-2-10000i3−i3−i3i3i3i3−i3−i31-1-22-1111-1-12-2-220000000-11−i3i30000001-1i3−i30000000
χ462-22-22-1-22-211-1-220-10-22−i3i311-11−i3i300−i3−i3i3i32-2-10000i3−i3−i3i3i3i3−i3−i31-1-22-1111-1-1-222-200000001-1i3−i3000000-11−i3i30000000
χ472-22-22-1-22-211-1-220-10-22i3−i311-11i3−i300i3i3−i3−i32-2-10000−i3i3i3−i3−i3−i3i3i31-1-22-1111-1-12-2-220000000-11i3−i30000001-1−i3i30000000
χ482-22-22-1-22-211-1-220-10-22i3−i311-11i3−i300i3i3−i3−i32-2-10000−i3i3i3−i3−i3−i3i3i31-1-22-1111-1-1-222-200000001-1−i3i3000000-11i3−i30000000
χ4944444-2-4-44-2-2-2444-2-400-2-2-2-2-2222-4-42222-4-42040000-2-20000000022000000000000000000000000000000000000
χ5044444-2-4-44-2-2-244-4-240022-2-2-22-2-244-2-2-2-2-4-420-40000220000000022000000000000000000000000000000000000
χ514444-24-4-4-2444-2-24-2-40044-2-2-2-4-4-422222222-40-20000-2-20000000022000000000000000000000000000000000000
χ524444-24-4-4-2444-2-2-4-2400-4-4-2-2-2-444-2-2-2-2-2-222-4020000220000000022000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-241444-2-2111-2-2-2-2-21111-2-2-24-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2414-4-4-2-2111-2-2-2-2-21111-2-2-2-4-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-41-44422111-22222-1-1-1-1-2-2-2-422222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-4-4-422111-22222-1-1-1-1-2-2-242-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-241-400-2-211122222-1-1-1-12220-20000113-33-30000-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-241-400-2-211122222-1-1-1-12220-2000011-33-330000-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-41400221112-2-2-2-21111222020000-1-13-33-30000-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-41400221112-2-2-2-21111222020000-1-1-33-330000-1-13-33-300000000000000000000000000000000
χ6144-4-4440044-4-4-4-404000004-4-400000000000000000000000000000000000000004i−4i000000000000000000000000
χ6244-4-4440044-4-4-4-404000004-4-40000000000000000000000000000000000000000−4i4i000000000000000000000000
χ634-44-4444-4-4-4-44-440400000-4-44400000000-44-40000000000000000-44000000000000000000000000000000000000
χ644-44-44-24-4-422-2-440-2000−2i32i322-2-22i3−2i3002i32i3−2i3−2i3-442000000−2i32i3000000002-2000000000000000000000000000000000000
χ654-44-44-24-4-422-2-440-20002i3−2i322-2-2−2i32i300−2i3−2i32i32i3-4420000002i3−2i3000000002-2000000000000000000000000000000000000
χ664-44-4-244-42-4-442-20-20000022-24000000002-2-400−2i32i30000−2i32i32i3−2i300002-2000000000000000000000000000000000000
χ674-44-4-244-42-4-442-20-20000022-24000000002-2-4002i3−2i300002i3−2i3−2i32i300002-2000000000000000000000000000000000000
χ684-44-4-24-442-4-442-20-204-40022-2-400000000-2240000000000004-4-22-22-2-22200000000000000000000000000000000
χ694-44-4-24-442-4-442-20-20-440022-2-400000000-224000000000000-442-2-2222-2-200000000000000000000000000000000
χ704-44-4-2-24-4222-22-201000−2i32i3-1-11-22i3−2i300−i3−i3i3i32-2200−2i32i300i3−i3i3−i3−i3i30000-11-333-300000000000000000000000000000000
χ714-44-4-2-24-4222-22-201000−2i32i3-1-11-22i3−2i300−i3−i3i3i32-22002i3−2i300i3−i3−i3i3i3−i30000-113-3-3300000000000000000000000000000000
χ724-44-4-2-24-4222-22-2010002i3−2i3-1-11-2−2i32i300i3i3−i3−i32-2200−2i32i300−i3i3i3−i3−i3i30000-113-3-3300000000000000000000000000000000
χ734-44-4-2-24-4222-22-2010002i3−2i3-1-11-2−2i32i300i3i3−i3−i32-22002i3−2i300−i3i3−i3i3i3−i30000-11-333-300000000000000000000000000000000
χ744-44-4-2-2-44222-22-20104-4−2i32i3-1-112−2i32i300i3i3−i3−i3-22-20000−2i32i3i3−i3i3i3−i3−i3-22-221-111-1-100000000000000000000000000000000
χ754-44-4-2-2-44222-22-20104-42i3−2i3-1-1122i3−2i300−i3−i3i3i3-22-200002i3−2i3−i3i3−i3−i3i3i3-22-221-111-1-100000000000000000000000000000000
χ764-44-4-2-2-44222-22-2010-44−2i32i3-1-112−2i32i300i3i3−i3−i3-22-200002i3−2i3i3−i3−i3−i3i3i32-22-21-1-1-11100000000000000000000000000000000
χ774-44-4-2-2-44222-22-2010-442i3−2i3-1-1122i3−2i300−i3−i3i3i3-22-20000−2i32i3−i3i3i3i3−i3−i32-22-21-1-1-11100000000000000000000000000000000
χ784-4-444400-4-44-44-40400000-44-40000000000000000000000000000000000000022−220000000000022−220000000000000
χ794-4-444400-4-44-44-40400000-44-400000000000000000000000000000000000000−222200000000000−22220000000000000
χ804-4-44-24002-44-4-220-2000002-2200023−2323−2323−230000000000000000000000000000022−2200000000000−226−600000000000
χ814-4-44-24002-44-4-220-2000002-2200023−2323−2323−2300000000000000000000000000000−2222000000000002−2−6600000000000
χ824-4-44-24002-44-4-220-2000002-22000−2323−2323−23230000000000000000000000000000022−2200000000000−22−6600000000000
χ834-4-44-24002-44-4-220-2000002-22000−2323−2323−232300000000000000000000000000000−2222000000000002−26−600000000000
χ8488-8-88-4008-444-8-80-400000-444000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-48-8-8440-400000-444000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-4444402000002-2-2000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-4-4444402000002-2-200000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000
χ888-8-888-400-84-448-80-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-44-440200000-22-200043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40044-44-440200000-22-2000−434323−2323−23000000000000000000000000000000000000000000000000000000000

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