Finite Group Databasebeta

← Group #11889698

Character table — Group #11889698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order12223344666666223446668812121212666612121212121224242424242424242444661212121212126612122244448812121212121212122424242448824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-11-111-1-111-1-11111-1-11-11-1-11-1-11111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-11-1-111-1-1111111-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-11-1-11-1
χ611111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-11-111-1-111-1-111-1-1-111-11
χ711111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111-111-11
χ811111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1111111-1-1-1-111111-1-11-1
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-111-1-1-11111-1-1-1-1-1-1-1-11-1-1-11
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-1-1111-1
χ1111111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111-1-1-1111-1-111-1-1-1-111-1111-1
χ1211111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111111-1-1-11
χ1311111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ1411111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111-1-1-111
χ1511111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-11-1-1-11111-1-111-1-1-1-1-111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111-1-1
χ17222222-2-22222220020022200-2-2-2-200000000-2-20000000022-2-22222-2-2-2-2000022000000000000000000-20000
χ18222222-2-22222220020022200-2-2-2-200000000-2-2000000002-2-2222-2-2-2-2220000-2-200000000000000000020000
χ19222222-2-22222220020022200-2-2-2-200000000-2-200000000-222-2-2-22222-2-20000-2-200000000000000000020000
χ20222222-2-22222220020022200-2-2-2-200000000-2-200000000-2-222-2-2-2-22222000022000000000000000000-20000
χ2122222-122-122-1-1222-122-1-1-122-122-122-1-1-1-122-1-122-1-1-1-1-1-12020-1-100-1-100-1-1-1-10020200200-1-1-1-10000-1-100000
χ2222222-122-122-1-1222-122-1-1-122-122-122-1-1-1-122-1-122-1-1-1-1-1-1-20-2011001100-1-1-1-100-20-200-200111100001100000
χ2322222-122-122-1-1222-1-2-2-1-1-1-2-2-122-122-1-111-2-2-1-1-2-21111112020-1-100-1-100-1-1110020-200-20011-1-100001100000
χ2422222-122-122-1-1222-1-2-2-1-1-1-2-2-122-122-1-111-2-2-1-1-2-2111111-20-2011001100-1-11100-20200200-1-1110000-1-100000
χ2522222-122-122-1-12-2-2-122-1-1-1-2-2-122-1-2-211-1-122-1-1-2-21111112020-1-100-1-10011-1-100-20200-200-1-11100001100000
χ2622222-122-122-1-12-2-2-122-1-1-1-2-2-122-1-2-211-1-122-1-1-2-2111111-20-201100110011-1-10020-20020011-1-10000-1-100000
χ2722222-122-122-1-12-2-2-1-2-2-1-1-122-122-1-2-21111-2-2-1-122-1-1-1-1-1-12020-1-100-1-100111100-20-20020011110000-1-100000
χ2822222-122-122-1-12-2-2-1-2-2-1-1-122-122-1-2-21111-2-2-1-122-1-1-1-1-1-1-20-201100110011110020200-200-1-1-1-100001100000
χ292222-12222-1-122-122-122-1-1-1222-1-12-1-12222-1-1-1-1-1-122-1-1-1-1020200-1-100-1-1-1-1-1-100020220-1-10000-1-1-1-10000000
χ302222-12222-1-122-122-122-1-1-1222-1-12-1-12222-1-1-1-1-1-122-1-1-1-10-20-200110011-1-1-1-1000-20-2-2011000011110000000
χ312222-12222-1-122-122-1-2-2-1-1-1-2-22-1-12-1-122-2-211-1-111-2-21111020200-1-100-1-1-1-111000-202-20110000-1-1110000000
χ322222-12222-1-122-122-1-2-2-1-1-1-2-22-1-12-1-122-2-211-1-111-2-211110-20-200110011-1-11100020-220-1-1000011-1-10000000
χ332222-12222-1-122-1-2-2-122-1-1-1-2-22-1-1211-2-222-1-1-1-111-2-21111020200-1-100-1-111-1-100020-2-20-1-1000011110000000
χ342222-12222-1-122-1-2-2-122-1-1-1-2-22-1-1211-2-222-1-1-1-111-2-211110-20-20011001111-1-1000-20220110000-1-1-1-10000000
χ352222-12222-1-122-1-2-2-1-2-2-1-1-1222-1-1211-2-2-2-211-1-1-1-122-1-1-1-1020200-1-100-1-11111000-20-22011000011-1-10000000
χ362222-12222-1-122-1-2-2-1-2-2-1-1-1222-1-1211-2-2-2-211-1-1-1-122-1-1-1-10-20-2001100111111000202-20-1-10000-1-1110000000
χ372-22-2222-2-2-22-22-22-222i−2i-22-22i−2i2-22-22-22-22i−2i2i−2i2-22i−2i2i−2i2i2i−2i−2i0000000000002-22i−2i0000000000000000000000000
χ382-22-2222-2-2-22-22-22-22−2i2i-22-2−2i2i2-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i−2i−2i2i2i0000000000002-2−2i2i0000000000000000000000000
χ392-22-2222-2-2-22-22-2-2222i−2i-22-2−2i2i2-22-2-22-222i−2i2i−2i2-2−2i2i−2i2i−2i−2i2i2i000000000000-222i−2i0000000000000000000000000
χ402-22-2222-2-2-22-22-2-222−2i2i-22-22i−2i2-22-2-22-22−2i2i−2i2i2-22i−2i2i−2i2i2i−2i−2i000000000000-22−2i2i0000000000000000000000000
χ412-22-22-12-21-221-1-22-2-12i−2i1-112i−2i-1-2212-2-11−ii2i−2i-112i−2i−ii−i−iii0000−i3i300−i3i300-11−ii00000000003−3−i3i300003−300000
χ422-22-22-12-21-221-1-22-2-12i−2i1-112i−2i-1-2212-2-11−ii2i−2i-112i−2i−ii−i−iii0000i3−i300i3−i300-11−ii0000000000−33i3−i30000−3300000
χ432-22-22-12-21-221-1-22-2-1−2i2i1-11−2i2i-1-2212-2-11i−i−2i2i-11−2i2ii−iii−i−i0000−i3i300−i3i300-11i−i0000000000−33−i3i30000−3300000
χ442-22-22-12-21-221-1-22-2-1−2i2i1-11−2i2i-1-2212-2-11i−i−2i2i-11−2i2ii−iii−i−i0000i3−i300i3−i300-11i−i00000000003−3i3−i300003−300000
χ452-22-22-12-21-221-1-2-22-12i−2i1-11−2i2i-1-221-221-1−ii2i−2i-11−2i2ii−iii−i−i0000−i3i300−i3i3001-1−ii00000000003−3i3−i30000−3300000
χ462-22-22-12-21-221-1-2-22-12i−2i1-11−2i2i-1-221-221-1−ii2i−2i-11−2i2ii−iii−i−i0000i3−i300i3−i3001-1−ii0000000000−33−i3i300003−300000
χ472-22-22-12-21-221-1-2-22-1−2i2i1-112i−2i-1-221-221-1i−i−2i2i-112i−2i−ii−i−iii0000−i3i300−i3i3001-1i−i0000000000−33i3−i300003−300000
χ482-22-22-12-21-221-1-2-22-1−2i2i1-112i−2i-1-221-221-1i−i−2i2i-112i−2i−ii−i−iii0000i3−i300i3−i3001-1i−i00000000003−3−i3i30000−3300000
χ492-22-2-122-2-21-1-2212-2-12i−2i1-112i−2i21-1-2-112-22i−2i−ii-11−ii2i−2i−i−iii0000003−3003−3-11−ii00000000−i3i300003−3−i3i30000000
χ502-22-2-122-2-21-1-2212-2-12i−2i1-112i−2i21-1-2-112-22i−2i−ii-11−ii2i−2i−i−iii000000−3300−33-11−ii00000000i3−i30000−33i3−i30000000
χ512-22-2-122-2-21-1-2212-2-1−2i2i1-11−2i2i21-1-2-112-2−2i2ii−i-11i−i−2i2iii−i−i0000003−3003−3-11i−i00000000i3−i300003−3i3−i30000000
χ522-22-2-122-2-21-1-2212-2-1−2i2i1-11−2i2i21-1-2-112-2−2i2ii−i-11i−i−2i2iii−i−i000000−3300−33-11i−i00000000−i3i30000−33−i3i30000000
χ532-22-2-122-2-21-1-221-22-12i−2i1-11−2i2i21-1-21-1-222i−2i−ii-11i−i−2i2iii−i−i0000003−3003−31-1−ii00000000−i3i30000−33i3−i30000000
χ542-22-2-122-2-21-1-221-22-12i−2i1-11−2i2i21-1-21-1-222i−2i−ii-11i−i−2i2iii−i−i000000−3300−331-1−ii00000000i3−i300003−3−i3i30000000
χ552-22-2-122-2-21-1-221-22-1−2i2i1-112i−2i21-1-21-1-22−2i2ii−i-11−ii2i−2i−i−iii0000003−3003−31-1i−i00000000i3−i30000−33−i3i30000000
χ562-22-2-122-2-21-1-221-22-1−2i2i1-112i−2i21-1-21-1-22−2i2ii−i-11−ii2i−2i−i−iii000000−3300−331-1i−i00000000−i3i300003−3i3−i30000000
χ5744444-2-4-4-244-2-2400-200-2-2-2002-4-4200000000220000000040-40-2-200220000000000000000000000000000000
χ5844444-2-4-4-244-2-2400-200-2-2-2002-4-42000000002200000000-40402200-2-20000000000000000000000000000000
χ594444-24-4-44-2-244-200-200-2-2-200-422-4000000002200000000040-400-2-2002200000000000000000000000000000
χ604444-24-4-44-2-244-200-200-2-2-200-422-40000000022000000000-404002200-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24414411144-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2111100000000000011110000000000000000000000000
χ624444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-2-2-2-2-22222112222-1-1-1-100000000000011-1-10000000000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-22222-2-2-2-2112222-1-1-1-1000000000000-1-1110000000000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-22222222211-2-2-2-21111000000000000-1-1-1-10000000000000000000000000
χ6544-4-4440044-4-4-4-4004004-4-400000000000000000000000000000000000000004-400000000000000000000000
χ6644-4-4440044-4-4-4-4004004-4-40000000000000000000000000000000000000000-4400000000000000000000000
χ674-44-444-44-4-44-44-400400-44-400-44-4400000000-440000000000000000000000000000000000000000000000000
χ684-44-44-2-442-442-2-400-2002-220024-4-2000000002-2000000000000−2i32i3002i3−2i30000000000000000000000000000000
χ694-44-44-2-442-442-2-400-2002-220024-4-2000000002-20000000000002i3−2i300−2i32i30000000000000000000000000000000
χ704-44-4-24-44-42-2-44200-2002-2200-4-224000000002-20000000000000023−2300−232300000000000000000000000000000
χ714-44-4-24-44-42-2-44200-2002-2200-4-224000000002-200000000000000−23230023−2300000000000000000000000000000
χ724-44-4-2-24-422-22-224-414i−4i-11-14i−4i-22-22-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i0000000000001-1i−i0000000000000000000000000
χ734-44-4-2-24-422-22-224-41−4i4i-11-1−4i4i-22-22-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii0000000000001-1−ii0000000000000000000000000
χ744-44-4-2-24-422-22-22-4414i−4i-11-1−4i4i-22-222-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii000000000000-11i−i0000000000000000000000000
χ754-44-4-2-24-422-22-22-441−4i4i-11-14i−4i-22-222-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i000000000000-11−ii0000000000000000000000000
χ764-4-444400-4-4-44-4400400-4-44000000000000000000000000000000000000000000000000000000000000022−2200
χ774-4-444400-4-4-44-4400400-4-440000000000000000000000000000000000000000000000000000000000000−222200
χ788888-4-4-8-8-4-4-4-4-4-40020022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-88-400-48-844-800-400-44400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48008-44-8-8400-400-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-44444002002-2-200000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444002002-2-2000000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ838-88-8-4-4-8844-44-4400200-22-2004-44-400000000-220000000000000000000000000000000000000000000000000
χ848-8-888-4004-8-8-44800-40044-400000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8448-8-400-40044-400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-400200-2-220000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400444-44-400200-2-2200000000000000000000−323232−3200000000000000000000000000000000000000000

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