Finite Group Databasebeta

← Group #11889236

Character table — Group #11889236

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order122233446666662234466688121212126666121212121212242424242424242424446612121212121266121244244466881212121212122424242428844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111-1-111-1-11111-1-11-11-111-1111-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-111-1-1-111-1-1111111-1-1-11-11-1-11-1-1-1111111-1-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-11
χ611111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11-1-11111-1-1-111-1-111-1-1-1111-1
χ711111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-111-1-1-1-1111-1-111-1-111-1111-1
χ811111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111111-1-1-11
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-111-1-1-11-111-1-11111-1-1-111-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-11-1-1111-11-1-111-1-1-1-111-111-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111-1-11-1
χ1311111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1
χ1411111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-11-1-11111-1-111-1-1-111
χ1511111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-111-1-1-1-1-1-11-11-1111-111-1-1-1-111-1-1-1-1-111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1111-1-1
χ17222222-2-22222220020022200-2-2-2-200000000-2-20000000022-2-222-2-2-2-222000022000000000000000000-20000
χ18222222-2-22222220020022200-2-2-2-200000000-2-2000000002-22-22222-2-2-2-20000-2-200000000000000000020000
χ19222222-2-22222220020022200-2-2-2-200000000-2-200000000-22-22-2-2-2-222220000-2-200000000000000000020000
χ20222222-2-22222220020022200-2-2-2-200000000-2-200000000-2-222-2-22222-2-2000022000000000000000000-20000
χ2122222-122-12-1-12222-122-1-1-122-122-122-1-1-1-122-1-122-1-1-1-1-1-12002-1-100-1-100-1-1-1-1002020-1-102-1-1000000-1-100000
χ2222222-122-12-1-12222-122-1-1-122-122-122-1-1-1-122-1-122-1-1-1-1-1-1-200-211001100-1-1-1-100-20-20110-2110000001100000
χ2322222-122-12-1-12222-1-2-2-1-1-1-2-2-122-122-1-111-2-2-1-1-2-21111112002-1-100-1-100-1-1110020-20-1-10-2110000001100000
χ2422222-122-12-1-12222-1-2-2-1-1-1-2-2-122-122-1-111-2-2-1-1-2-2111111-200-211001100-1-11100-20201102-1-1000000-1-100000
χ2522222-122-12-1-122-2-2-122-1-1-1-2-2-122-1-2-211-1-122-1-1-2-21111112002-1-100-1-10011-1-100-2020110-2-1-10000001100000
χ2622222-122-12-1-122-2-2-122-1-1-1-2-2-122-1-2-211-1-122-1-1-2-2111111-200-21100110011-1-10020-20-1-10211000000-1-100000
χ2722222-122-12-1-122-2-2-1-2-2-1-1-122-122-1-2-21111-2-2-1-122-1-1-1-1-1-12002-1-100-1-100111100-20-20110211000000-1-100000
χ2822222-122-12-1-122-2-2-1-2-2-1-1-122-122-1-2-21111-2-2-1-122-1-1-1-1-1-1-200-2110011001111002020-1-10-2-1-10000001100000
χ292222-12222-122-1-122-122-1-1-1222-1-12-1-12222-1-1-1-1-1-122-1-1-1-1022000-1-100-1-1-1-1-1-1000202002000-1-1-1-1-1-10000000
χ302222-12222-122-1-122-122-1-1-1222-1-12-1-12222-1-1-1-1-1-122-1-1-1-10-2-2000110011-1-1-1-1000-20-200-20001111110000000
χ312222-12222-122-1-122-1-2-2-1-1-1-2-22-1-12-1-122-2-211-1-111-2-21111022000-1-100-1-1-1-11100020-200-200011-1-1110000000
χ322222-12222-122-1-122-1-2-2-1-1-1-2-22-1-12-1-122-2-211-1-111-2-211110-2-2000110011-1-111000-202002000-1-111-1-10000000
χ332222-12222-122-1-1-2-2-122-1-1-1-2-22-1-1211-2-222-1-1-1-111-2-21111022000-1-100-1-111-1-1000-20200-2000-1-111110000000
χ342222-12222-122-1-1-2-2-122-1-1-1-2-22-1-1211-2-222-1-1-1-111-2-211110-2-200011001111-1-100020-200200011-1-1-1-10000000
χ352222-12222-122-1-1-2-2-1-2-2-1-1-1222-1-1211-2-2-2-211-1-1-1-122-1-1-1-1022000-1-100-1-11111000-20-20020001111-1-10000000
χ362222-12222-122-1-1-2-2-1-2-2-1-1-1222-1-1211-2-2-2-211-1-1-1-122-1-1-1-10-2-2000110011111100020200-2000-1-1-1-1110000000
χ372-2-22222-2-2-22-22-22-222i−2i-22-22i−2i2-22-22-22-22i−2i2i−2i2-22i−2i2i−2i2i2i−2i−2i0000000000002-22i−2i0000000000000000000000000
χ382-2-22222-2-2-22-22-22-22−2i2i-22-2−2i2i2-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i−2i−2i2i2i0000000000002-2−2i2i0000000000000000000000000
χ392-2-22222-2-2-22-22-2-2222i−2i-22-2−2i2i2-22-2-22-222i−2i2i−2i2-2−2i2i−2i2i−2i−2i2i2i000000000000-222i−2i0000000000000000000000000
χ402-2-22222-2-2-22-22-2-222−2i2i-22-22i−2i2-22-2-22-22−2i2i−2i2i2-22i−2i2i−2i2i2i−2i−2i000000000000-22−2i2i0000000000000000000000000
χ412-2-222-12-21-2-112-22-2-12i−2i1-112i−2i-1-2212-2-11−ii2i−2i-112i−2i−ii−i−iii0000−i3i300−i3i300-11−ii000000−i3i3003−30000003−300000
χ422-2-222-12-21-2-112-22-2-12i−2i1-112i−2i-1-2212-2-11−ii2i−2i-112i−2i−ii−i−iii0000i3−i300i3−i300-11−ii000000i3−i300−33000000−3300000
χ432-2-222-12-21-2-112-22-2-1−2i2i1-11−2i2i-1-2212-2-11i−i−2i2i-11−2i2ii−iii−i−i0000−i3i300−i3i300-11i−i000000−i3i300−33000000−3300000
χ442-2-222-12-21-2-112-22-2-1−2i2i1-11−2i2i-1-2212-2-11i−i−2i2i-11−2i2ii−iii−i−i0000i3−i300i3−i300-11i−i000000i3−i3003−30000003−300000
χ452-2-222-12-21-2-112-2-22-12i−2i1-11−2i2i-1-221-221-1−ii2i−2i-11−2i2ii−iii−i−i0000−i3i300−i3i3001-1−ii000000i3−i3003−3000000−3300000
χ462-2-222-12-21-2-112-2-22-12i−2i1-11−2i2i-1-221-221-1−ii2i−2i-11−2i2ii−iii−i−i0000i3−i300i3−i3001-1−ii000000−i3i300−330000003−300000
χ472-2-222-12-21-2-112-2-22-1−2i2i1-112i−2i-1-221-221-1i−i−2i2i-112i−2i−ii−i−iii0000−i3i300−i3i3001-1i−i000000i3−i300−330000003−300000
χ482-2-222-12-21-2-112-2-22-1−2i2i1-112i−2i-1-221-221-1i−i−2i2i-112i−2i−ii−i−iii0000i3−i300i3−i3001-1i−i000000−i3i3003−3000000−3300000
χ492-2-22-122-2-212-2-112-2-12i−2i1-112i−2i21-1-2-112-22i−2i−ii-11−ii2i−2i−i−iii0000003−3003−3-11−ii000000000000−i3i33−3−i3i30000000
χ502-2-22-122-2-212-2-112-2-12i−2i1-112i−2i21-1-2-112-22i−2i−ii-11−ii2i−2i−i−iii000000−3300−33-11−ii000000000000i3−i3−33i3−i30000000
χ512-2-22-122-2-212-2-112-2-1−2i2i1-11−2i2i21-1-2-112-2−2i2ii−i-11i−i−2i2iii−i−i0000003−3003−3-11i−i000000000000i3−i33−3i3−i30000000
χ522-2-22-122-2-212-2-112-2-1−2i2i1-11−2i2i21-1-2-112-2−2i2ii−i-11i−i−2i2iii−i−i000000−3300−33-11i−i000000000000−i3i3−33−i3i30000000
χ532-2-22-122-2-212-2-11-22-12i−2i1-11−2i2i21-1-21-1-222i−2i−ii-11i−i−2i2iii−i−i0000003−3003−31-1−ii000000000000−i3i3−33i3−i30000000
χ542-2-22-122-2-212-2-11-22-12i−2i1-11−2i2i21-1-21-1-222i−2i−ii-11i−i−2i2iii−i−i000000−3300−331-1−ii000000000000i3−i33−3−i3i30000000
χ552-2-22-122-2-212-2-11-22-1−2i2i1-112i−2i21-1-21-1-22−2i2ii−i-11−ii2i−2i−i−iii0000003−3003−31-1i−i000000000000i3−i3−33−i3i30000000
χ562-2-22-122-2-212-2-11-22-1−2i2i1-112i−2i21-1-21-1-22−2i2ii−i-11−ii2i−2i−i−iii000000−3300−331-1i−i000000000000−i3i33−3i3−i30000000
χ5744444-2-4-4-24-2-24400-200-2-2-2002-4-42000000002200000000400-4-2-200220000000000000000000000000000000
χ5844444-2-4-4-24-2-24400-200-2-2-2002-4-42000000002200000000-40042200-2-20000000000000000000000000000000
χ594444-24-4-44-244-2-200-200-2-2-200-422-400000000220000000004-40002200-2-200000000000000000000000000000
χ604444-24-4-44-244-2-200-200-2-2-200-422-40000000022000000000-44000-2-2002200000000000000000000000000000
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
χ6544-4-444004-4-4-4-4400400-4-440000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6644-4-444004-4-4-4-4400400-4-4400000000000000000000000000000000000000000000000000000000000002i2−2i200
χ674-44-44400-44-44-4-4004004-4-400000000000000000000000000000000000000004i−4i00000000000000000000000
χ684-44-44400-44-44-4-4004004-4-40000000000000000000000000000000000000000−4i4i00000000000000000000000
χ694-4-4444-44-4-44-44-400400-44-400-44-4400000000-440000000000000000000000000000000000000000000000000
χ704-4-444-2-442-4-224-400-2002-220024-4-2000000002-2000000000000−2i32i3002i3−2i30000000000000000000000000000000
χ714-4-444-2-442-4-224-400-2002-220024-4-2000000002-20000000000002i3−2i300−2i32i30000000000000000000000000000000
χ724-4-44-24-44-424-4-2200-2002-2200-4-224000000002-20000000000000023−2300−232300000000000000000000000000000
χ734-4-44-24-44-424-4-2200-2002-2200-4-224000000002-200000000000000−23230023−2300000000000000000000000000000
χ744-4-44-2-24-422-22-224-414i−4i-11-14i−4i-22-22-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i0000000000001-1i−i0000000000000000000000000
χ754-4-44-2-24-422-22-224-41−4i4i-11-1−4i4i-22-22-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii0000000000001-1−ii0000000000000000000000000
χ764-4-44-2-24-422-22-22-4414i−4i-11-1−4i4i-22-222-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii000000000000-11i−i0000000000000000000000000
χ774-4-44-2-24-422-22-22-441−4i4i-11-14i−4i-22-222-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i000000000000-11−ii0000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-40020022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-88-400-4-844-8800-40044-400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-480084-8-84-400-40044-400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-400200-2-220000000000000000000032−3232−3200000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-400200-2-2200000000000000000000−3232−323200000000000000000000000000000000000000000
χ838-88-88-400484-4-8-800-400-44400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-8-4-884400-400-44400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444002002-2-200000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-4004-44-444002002-2-2000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-4400200-22-2004-44-400000000-220000000000000000000000000000000000000000000000000

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