Finite Group Databasebeta

← Group #11884430

Character table — Group #11884430

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666662223466666666666666612121212442666666666666661212121212122448812121212244468121212121224242424448861228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-11-111-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-11-11-1-11-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-11-11111-1-1-1-111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-1-1111-1-111-1-1-1-11111-1-111111-1-1-1
χ61111111111111111-11-11111-1-1-1-111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-1-1-1-1111
χ71111111111111111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1111-1-111-1-1-1-1-1-11-111
χ81111111111111111-11-11111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-11111-1-1-1-1111111-11-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-11-11-11-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-11-11-11-11111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-11111-1-111-1-11-1-111-1-111-111-11-1-111-1-111-1-1-1-111-111-1
χ1411111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-11111-1-111-1-11-1-1-1-1-1-11111-1-111-111-1-1-1-11111-1-11-1-11
χ1511111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-111-1-1-1111111-1-1-1-111-1-11-1-11111-1-111-1-1-11-11
χ1611111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-111-1-1-111-1-111-1-11-1-11-111-1-111-1-111-1-1111-11-1
χ17222222-2-22222220022-2000022222222222-2-2-2-222000000000000000-2-2-2-2-2-2-2-220022220000-20-20000000000000000
χ18222222-2-22222220022-2000022222222222-2-2-2-2-2-2000000000000000-2-2-2-2-2-222-200-2-2-2-200002020000000000000000
χ19222222-2-222222200-2220000-2-2-2-222-2-2-2-22-2-2-2-22200000000000000022-2-222-22-200-2-2220000-2020000000000000000
χ20222222-2-222222200-2220000-2-2-2-222-2-2-2-22-2-2-2-2-2-200000000000000022-2-2222-220022-2-2000020-20000000000000000
χ2122222-122-1-12-122222-12222222-1-1-1-1-1-1-1-1-122-1-100222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-100022000020200200000-1-1-1-10000-1-100
χ2222222-122-1-12-122222-12222222-1-1-1-1-1-1-1-1-122-1-100222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1000-2-20000-20-200-200000111100001100
χ2322222-122-1-12-12222-2-1-22222-2-211-1-11111-122-1-100-2-2-2-1-111-1-1-1-111111-2-1-11100022000020-200-200000-1-1110000-1100
χ2422222-122-1-12-12222-2-1-22222-2-211-1-11111-122-1-100-2-2-2-1-111-1-1-1-111111-2-1-111000-2-20000-2020020000011-1-100001-100
χ2522222-122-1-12-122-2-22-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-100-2-2-2111111111111-12-1-1-1-1000220000-20-200200000-1-1-1-100001100
χ2622222-122-1-12-122-2-22-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-100-2-2-2111111111111-12-1-1-1-1000-2-2000020200-20000011110000-1-100
χ2722222-122-1-12-122-2-2-2-1-2-2-2-2-2-2-211-1-11111-122-1-10022211-1-11111-1-1-1-11-2-1-111000220000-20200-200000-1-11100001-100
χ2822222-122-1-12-122-2-2-2-1-2-2-2-2-2-2-211-1-11111-122-1-10022211-1-11111-1-1-1-11-2-1-111000-2-2000020-20020000011-1-10000-1100
χ292222-122222-12-1-1222-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122222-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-122200-1-1-1-10202-10-1-1-1-1-1000000000000
χ302222-122222-12-1-1222-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-2-22-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-2-2-20011110-20-21011111000000000000
χ312222-122222-12-1-122-2-1-2-1-1-1-111-2-2-1-11111-1-1-12222-21122-2-2-1-1-1-11111-21-1-1112-2-20011-1-10-202-10111-1-1000000000000
χ322222-122222-12-1-122-2-1-2-1-1-1-111-2-2-1-11111-1-1-122-2-2-21122-2-2-1-1-1-11111-21-1-111-22200-1-111020-210-1-1-111000000000000
χ332222-122222-12-1-1-2-22-121111-1-122-1-1-1-1-1-1-1-1-12222-211-2-2-2-2111111112-1-1-1-1-122200-1-1-1-10-20-2-10-11111000000000000
χ342222-122222-12-1-1-2-22-121111-1-122-1-1-1-1-1-1-1-1-122-2-2-211-2-2-2-2111111112-1-1-1-1-1-2-2-20011110202101-1-1-1-1000000000000
χ352222-122222-12-1-1-2-2-2-1-2111111-2-2-1-11111-1-1-122222-1-1-2-2221111-1-1-1-1-21-1-1112-2-20011-1-1020-2-101-1-111000000000000
χ362222-122222-12-1-1-2-2-2-1-2111111-2-2-1-11111-1-1-122-2-22-1-1-2-2221111-1-1-1-1-21-1-111-22200-1-1110-20210-111-1-1000000000000
χ372222-12-2-222-12-1-1002-1-2−i3−i3i3i3-1-122-1-1-1-1-1-1-111-2-2220−i3i30000−i3−i3i3i3−i3−i3i3i3-211111-2-2200-1-1-1-10000101−i3i3−i3i3000000000000
χ382222-12-2-222-12-1-1002-1-2−i3−i3i3i3-1-122-1-1-1-1-1-1-111-2-2-2-20−i3i30000−i3−i3i3i3−i3−i3i3i3-21111122-20011110000-10-1i3−i3i3−i3000000000000
χ392222-12-2-222-12-1-1002-1-2i3i3−i3−i3-1-122-1-1-1-1-1-1-111-2-2220i3−i30000i3i3−i3−i3i3i3−i3−i3-211111-2-2200-1-1-1-10000101i3−i3i3−i3000000000000
χ402222-12-2-222-12-1-1002-1-2i3i3−i3−i3-1-122-1-1-1-1-1-1-111-2-2-2-20i3−i30000i3i3−i3−i3i3i3−i3−i3-21111122-20011110000-10-1−i3i3−i3i3000000000000
χ412222-12-2-222-12-1-100-2-12−i3−i3i3i311-2-2-1-11111-111-2-2220i3−i30000−i3−i3i3i3i3i3−i3−i32-111-1-1-22-20011-1-1000010-1i3−i3−i3i3000000000000
χ422222-12-2-222-12-1-100-2-12−i3−i3i3i311-2-2-1-11111-111-2-2-2-20i3−i30000−i3−i3i3i3i3i3−i3−i32-111-1-12-2200-1-1110000-101−i3i3i3−i3000000000000
χ432222-12-2-222-12-1-100-2-12i3i3−i3−i311-2-2-1-11111-111-2-2220−i3i30000i3i3−i3−i3−i3−i3i3i32-111-1-1-22-20011-1-1000010-1−i3i3i3−i3000000000000
χ442222-12-2-222-12-1-100-2-12i3i3−i3−i311-2-2-1-11111-111-2-2-2-20−i3i30000i3i3−i3−i3−i3−i3i3i32-111-1-12-2200-1-1110000-101i3−i3−i3i3000000000000
χ452-2-2222-22-22-2-2-222-20202-22-20000-2-2000022-22-2000002-2002-22-20000002-2000000000000000000000000002-22-20000
χ462-2-2222-22-22-2-2-222-20202-22-20000-2-2000022-22-2000002-2002-22-20000002-200000000000000000000000000-22-220000
χ472-2-2222-22-22-2-2-22-22020-22-220000-2-2000022-22-200000-2200-22-220000002-2000000000000000000000000002-2-220000
χ482-2-2222-22-22-2-2-22-22020-22-220000-2-2000022-22-200000-2200-22-220000002-200000000000000000000000000-222-20000
χ4944444-2-4-4-2-24-244004-2-4000044-2-2-2-2-2-2-2-2-2-4-422000000000000000002-4222200000000000000000000000000000000
χ5044444-2-4-4-2-24-24400-4-240000-4-422-2-22222-2-4-42200000000000000000-2422-2-200000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2-2-21111111-2-2-2-2004-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-244-41-4-2-2-2-2222211-1-1-1-11-2-2-2-200-422-2-2221111-1-1-1-12211-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-44142222-2-2-2-21111111-2-2-2-200-4222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-4-41-42222222211-1-1-1-11-2-2-2-2004-2-222-2-2-1-1-1-111112211-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20041-4−2i3−2i32i32i3-2-2-2-211111112222000−2i32i30000i3i3−i3−i3i3i3−i3−i322-1-1-1-100000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20041-42i32i3−2i3−2i3-2-2-2-2111111122220002i3−2i30000−i3−i3i3i3−i3−i3i3i322-1-1-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-200-414−2i3−2i32i32i3222211-1-1-1-1122220002i3−2i30000i3i3−i3−i3−i3−i3i3i3-2-2-1-11100000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-200-4142i32i3−2i3−2i3222211-1-1-1-112222000−2i32i30000−i3−i3i3i3i3i3−i3−i3-2-2-1-11100000000000000000000000000000000
χ5944-4-444004-44-4-4-400040000000004-40000-400004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ6044-4-444004-44-4-4-400040000000004-40000-40000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-4-24004-4-2-422000-200000−2i32i300-22−2i3−2i32i32i3200004i−4i0000000000000000000000000023−23−2i2i00000000000000000000000
χ6244-4-4-24004-4-2-422000-200000−2i32i300-22−2i3−2i32i32i320000−4i4i00000000000000000000000000−23232i−2i00000000000000000000000
χ6344-4-4-24004-4-2-422000-2000002i3−2i300-222i32i3−2i3−2i3200004i−4i00000000000000000000000000−2323−2i2i00000000000000000000000
χ6444-4-4-24004-4-2-422000-2000002i3−2i300-222i32i3−2i3−2i320000−4i4i0000000000000000000000000023−232i−2i00000000000000000000000
χ654-44-44400-4-4-444-40004000000000-440000-400000000000000000000000000000022−2200000000000000022−220000000000
χ664-44-44400-4-4-444-40004000000000-440000-4000000000000000000000000000000−2222000000000000000−22220000000000
χ674-44-44-20022-4-24-4000-20000000−2i32i32-2−2i32i3−2i32i3200000000000000000000000000000022−22000000000000000−22i6−i600000000
χ684-44-44-20022-4-24-4000-20000000−2i32i32-2−2i32i3−2i32i32000000000000000000000000000000−22220000000000000002−2−i6i600000000
χ694-44-44-20022-4-24-4000-200000002i3−2i32-22i3−2i32i3−2i3200000000000000000000000000000022−22000000000000000−22−i6i600000000
χ704-44-44-20022-4-24-4000-200000002i3−2i32-22i3−2i32i3−2i32000000000000000000000000000000−22220000000000000002−2i6−i600000000
χ714-4-44444-4-44-4-4-440004000000000-4-400004-44-440000000000000000000-440000000000000000000000000000000000
χ724-4-444-24-42-2-42-44000-2000000000220000-2-442-20000000−2i32i30000−2i32i3−2i32i3002-20000000000000000000000000000000000
χ734-4-444-24-42-2-42-44000-2000000000220000-2-442-200000002i3−2i300002i3−2i32i3−2i3002-20000000000000000000000000000000000
χ744-4-444-2-442-2-42-444-40-204-44-40000220000-24-4-2200000-2200-22-22000000-220000000000000000000000000000000000
χ754-4-444-2-442-2-42-44-440-20-44-440000220000-24-4-22000002-2002-22-2000000-220000000000000000000000000000000000
χ764-4-44-244-4-442-42-2000-20−2i32i32i3−2i30000220000-22-2-44000000000−2i32i32i3−2i30000002-20000000000000000000000000000000000
χ774-4-44-244-4-442-42-2000-202i3−2i3−2i32i30000220000-22-2-440000000002i3−2i3−2i32i30000002-20000000000000000000000000000000000
χ784-4-44-24-44-442-42-24-40-20-22-220000220000-2-224-4000004-400-22-22000000-220000000000000000000000000000000000
χ794-4-44-24-44-442-42-2-440-202-22-20000220000-2-224-400000-44002-22-2000000-220000000000000000000000000000000000
χ804-4-44-2-24-42-2222-200010−2i32i32i3−2i30000-1-13-3-3312-22-20000000−2i32i3i3−i3−i3i3i3−i3i3−i300-113-300000000000000000000000000000000
χ814-4-44-2-24-42-2222-200010−2i32i32i3−2i30000-1-1-333-312-22-200000002i3−2i3i3−i3−i3i3−i3i3−i3i300-11-3300000000000000000000000000000000
χ824-4-44-2-24-42-2222-2000102i3−2i3−2i32i30000-1-13-3-3312-22-200000002i3−2i3−i3i3i3−i3−i3i3−i3i300-113-300000000000000000000000000000000
χ834-4-44-2-24-42-2222-2000102i3−2i3−2i32i30000-1-1-333-312-22-20000000−2i32i3−i3i3i3−i3i3−i3i3−i300-11-3300000000000000000000000000000000
χ844-4-44-2-2-442-2222-24-4010-22-220000-1-13-3-331-22-2200000-22001-11-1-333-3001-1-3300000000000000000000000000000000
χ854-4-44-2-2-442-2222-24-4010-22-220000-1-1-333-31-22-2200000-22001-11-13-3-33001-13-300000000000000000000000000000000
χ864-4-44-2-2-442-2222-2-440102-22-20000-1-13-3-331-22-22000002-200-11-113-3-33001-1-3300000000000000000000000000000000
χ874-4-44-2-2-442-2222-2-440102-22-20000-1-1-333-31-22-22000002-200-11-11-333-3001-13-300000000000000000000000000000000
χ8888-8-88-400-4484-8-8000-4000000000-440000400000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-4444000200000−4i34i3002-22i32i3−2i3−2i3-200000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44-44440002000004i3−4i3002-2−2i3−2i32i32i3-200000000000000000000000000000000000000000000000000000000000
χ918-88-8-4800-8-848-44000-40000000004-40000400000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400444-4-4400020000000−4i34i3-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400444-4-44000200000004i3−4i3-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000

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