Finite Group Databasebeta

← Group #11889390

Character table — Group #11889390

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order12223344666666344446668812121212121212121212121212122424242424242424244466121212121212121212122244448812121212121212122424242448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111-1-11-11-1-1111-1-1-1-111-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-111-1-1-11111-1-11111-1-1-11-111-1-1-11111-1-111-1-1-1-1-1-1-1
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
χ511111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11-1
χ611111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-1-111-11
χ711111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-111-11-1-111-1-111-1-111-111-11
χ811111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-111-1-1-1-1111111111-1-11-1
χ9111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-111-1-1-1-1-1-1-11111-1-1-1-11-1-1-11
χ10111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-1-1-1111-1-1-111-1-11111-1-1-1111-1
χ11111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-1-1111-1-111-1-1-1-111-1111-1
χ12111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-111111-1-1-11
χ13111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ14111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-11-11-1-11111-1-1-1-111-1-1-111
χ15111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-111-1-1-11111-1-1-1-1-1-1-1-11-11-11-111-1-1-1-11111-1-1-1-1-111
χ16111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111-1-1
χ17222222-2-22222222000022200-2-2-2-200000000-2-20000000022-2-222-2-222-2-20000-2-200000000000000000020000
χ18222222-2-22222222000022200-2-2-2-200000000-2-2000000002-22-22222-2-2-2-2000022000000000000000000-20000
χ19222222-2-22222222000022200-2-2-2-200000000-2-200000000-22-22-2-2-2-22222000022000000000000000000-20000
χ20222222-2-22222222000022200-2-2-2-200000000-2-200000000-2-222-2-222-2-2220000-2-200000000000000000020000
χ2122222-122-12-122-1-12222-1-1-122-122-1-1-12222-1-1-1-122-1-1-1-1-1-12002-1-10000-1-1-1-1-1-100202002-1-10000-1-100-1-100000
χ2222222-122-12-122-1-12222-1-1-122-122-1-1-12222-1-1-1-122-1-1-1-1-1-1-200-211000011-1-1-1-100-20-200-211000011001100000
χ2322222-122-12-122-1-122-2-2-1-1-1-2-2-122-1-1-122-2-211-1-1-2-21111112002-1-10000-1-1-1-1110020-200-2-1-1000011001100000
χ2422222-122-12-122-1-122-2-2-1-1-1-2-2-122-1-1-122-2-211-1-1-2-2111111-200-211000011-1-11100-202002110000-1-100-1-100000
χ2522222-122-12-122-1-1-2-222-1-1-1-2-2-122-111-2-222-1-1-1-1-2-21111112002-1-10000-1-111-1-100-20200-2110000-1-1001100000
χ2622222-122-12-122-1-1-2-222-1-1-1-2-2-122-111-2-222-1-1-1-1-2-2111111-200-21100001111-1-10020-2002-1-100001100-1-100000
χ2722222-122-12-122-1-1-2-2-2-2-1-1-122-122-111-2-2-2-211-1-122-1-1-1-1-1-12002-1-10000-1-1111100-20-20021100001100-1-100000
χ2822222-122-12-122-1-1-2-2-2-2-1-1-122-122-111-2-2-2-211-1-122-1-1-1-1-1-1-200-21100001111110020200-2-1-10000-1-1001100000
χ292222-12222-12-1-12-12222-1-1-1222-1-1222-1-1-1-122-1-1-1-122-1-1-1-1022000-1-1-1-100-1-1-1-10002022000-1-1-1-100-1-10000000
χ302222-12222-12-1-12-12222-1-1-1222-1-1222-1-1-1-122-1-1-1-122-1-1-1-10-2-2000111100-1-1-1-1000-20-2-2000111100110000000
χ312222-12222-12-1-12-122-2-2-1-1-1-2-22-1-1222-1-111-2-2-1-111-2-21111022000-1-1-1-100-1-111000-202-2000-1-11100110000000
χ322222-12222-12-1-12-122-2-2-1-1-1-2-22-1-1222-1-111-2-2-1-111-2-211110-2-2000111100-1-11100020-2200011-1-100-1-10000000
χ332222-12222-12-1-12-1-2-222-1-1-1-2-22-1-12-2-211-1-122-1-111-2-21111022000-1-1-1-10011-1-100020-2-200011-1-100110000000
χ342222-12222-12-1-12-1-2-222-1-1-1-2-22-1-12-2-211-1-122-1-111-2-211110-2-200011110011-1-1000-2022000-1-11100-1-10000000
χ352222-12222-12-1-12-1-2-2-2-2-1-1-1222-1-12-2-21111-2-2-1-1-1-122-1-1-1-1022000-1-1-1-1001111000-20-22000111100-1-10000000
χ362222-12222-12-1-12-1-2-2-2-2-1-1-1222-1-12-2-21111-2-2-1-1-1-122-1-1-1-10-2-20001111001111000202-2000-1-1-1-100110000000
χ372-2-22222-2-2-2-22-2222i−2i2-2-2-222i−2i2-22-22i−2i2i−2i2-22-22-22i−2i2i−2i2i2i−2i−2i0000000000002i−2i2-20000000000000000000000000
χ382-2-22222-2-2-2-22-2222i−2i-22-2-22−2i2i2-22-22i−2i2i−2i-22-222-2−2i2i−2i2i−2i−2i2i2i0000000000002i−2i-220000000000000000000000000
χ392-2-22222-2-2-2-22-222−2i2i2-2-2-22−2i2i2-22-2−2i2i−2i2i2-22-22-2−2i2i−2i2i−2i−2i2i2i000000000000−2i2i2-20000000000000000000000000
χ402-2-22222-2-2-2-22-222−2i2i-22-2-222i−2i2-22-2−2i2i−2i2i-22-222-22i−2i2i−2i2i2i−2i−2i000000000000−2i2i-220000000000000000000000000
χ412-2-222-12-21-212-2-1-12i−2i2-211-12i−2i-1-221−ii2i−2i2-2-11-112i−2i−ii−i−iii0000−i3i30000−i3i3−ii-11000000003−30000−i3i3003−300000
χ422-2-222-12-21-212-2-1-12i−2i2-211-12i−2i-1-221−ii2i−2i2-2-11-112i−2i−ii−i−iii0000i3−i30000i3−i3−ii-1100000000−330000i3−i300−3300000
χ432-2-222-12-21-212-2-1-12i−2i-2211-1−2i2i-1-221−ii2i−2i-221-1-11−2i2ii−iii−i−i0000−i3i30000−i3i3−ii1-1000000003−30000i3−i300−3300000
χ442-2-222-12-21-212-2-1-12i−2i-2211-1−2i2i-1-221−ii2i−2i-221-1-11−2i2ii−iii−i−i0000i3−i30000i3−i3−ii1-100000000−330000−i3i3003−300000
χ452-2-222-12-21-212-2-1-1−2i2i2-211-1−2i2i-1-221i−i−2i2i2-2-11-11−2i2ii−iii−i−i0000−i3i30000−i3i3i−i-1100000000−330000−i3i300−3300000
χ462-2-222-12-21-212-2-1-1−2i2i2-211-1−2i2i-1-221i−i−2i2i2-2-11-11−2i2ii−iii−i−i0000i3−i30000i3−i3i−i-11000000003−30000i3−i3003−300000
χ472-2-222-12-21-212-2-1-1−2i2i-2211-12i−2i-1-221i−i−2i2i-221-1-112i−2i−ii−i−iii0000−i3i30000−i3i3i−i1-100000000−330000i3−i3003−300000
χ482-2-222-12-21-212-2-1-1−2i2i-2211-12i−2i-1-221i−i−2i2i-221-1-112i−2i−ii−i−iii0000i3−i30000i3−i3i−i1-1000000003−30000−i3i300−3300000
χ492-2-22-122-2-21-2-112-12i−2i2-211-12i−2i21-1-22i−2i−ii-112-2-11−ii2i−2i−i−iii0000003−33−300−ii-110000000000−i3i33−300−i3i30000000
χ502-2-22-122-2-21-2-112-12i−2i2-211-12i−2i21-1-22i−2i−ii-112-2-11−ii2i−2i−i−iii000000−33−3300−ii-110000000000i3−i3−3300i3−i30000000
χ512-2-22-122-2-21-2-112-12i−2i-2211-1−2i2i21-1-22i−2i−ii1-1-22-11i−i−2i2iii−i−i0000003−33−300−ii1-10000000000−i3i3−3300i3−i30000000
χ522-2-22-122-2-21-2-112-12i−2i-2211-1−2i2i21-1-22i−2i−ii1-1-22-11i−i−2i2iii−i−i000000−33−3300−ii1-10000000000i3−i33−300−i3i30000000
χ532-2-22-122-2-21-2-112-1−2i2i2-211-1−2i2i21-1-2−2i2ii−i-112-2-11i−i−2i2iii−i−i0000003−33−300i−i-110000000000i3−i33−300i3−i30000000
χ542-2-22-122-2-21-2-112-1−2i2i2-211-1−2i2i21-1-2−2i2ii−i-112-2-11i−i−2i2iii−i−i000000−33−3300i−i-110000000000−i3i3−3300−i3i30000000
χ552-2-22-122-2-21-2-112-1−2i2i-2211-12i−2i21-1-2−2i2ii−i1-1-22-11−ii2i−2i−i−iii0000003−33−300i−i1-10000000000i3−i3−3300−i3i30000000
χ562-2-22-122-2-21-2-112-1−2i2i-2211-12i−2i21-1-2−2i2ii−i1-1-22-11−ii2i−2i−i−iii000000−33−3300i−i1-10000000000−i3i33−300i3−i30000000
χ5744444-2-4-4-24-244-2-20000-2-2-2002-4-42000000002200000000400-4-2-200002200000000000000000000000000000
χ5844444-2-4-4-24-244-2-20000-2-2-2002-4-42000000002200000000-4004220000-2-200000000000000000000000000000
χ594444-24-4-44-24-2-24-20000-2-2-200-422-400000000220000000004-400022-2-20000000000000000000000000000000
χ604444-24-4-44-24-2-24-20000-2-2-200-422-40000000022000000000-44000-2-2220000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21444411144-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2111100000000000011110000000000000000000000000
χ624444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-2-2-2-2-22222112222-1-1-1-100000000000011-1-10000000000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-22222-2-2-2-2112222-1-1-1-1000000000000-1-1110000000000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4-4-411144-2-2-2-22222222211-2-2-2-21111000000000000-1-1-1-10000000000000000000000000
χ6544-4-44400-4-44-44-4400004-4-4000000000000000000000000000000000000000000000000000000000000022−2200
χ6644-4-44400-4-44-44-4400004-4-40000000000000000000000000000000000000000000000000000000000000−222200
χ674-44-4440044-4-4-4-440000-44-400000000000000000000000000000000000000004-400000000000000000000000
χ684-44-4440044-4-4-4-440000-44-40000000000000000000000000000000000000000-4400000000000000000000000
χ694-4-4444-44-4-4-44-4440000-4-4400-44-4400000000-440000000000000000000000000000000000000000000000000
χ704-4-444-2-442-424-4-2-2000022-20024-4-2000000002-2000000000000−2i32i300002i3−2i300000000000000000000000000000
χ714-4-444-2-442-424-4-2-2000022-20024-4-2000000002-20000000000002i3−2i30000−2i32i300000000000000000000000000000
χ724-4-44-24-44-42-4-224-2000022-200-4-224000000002-20000000000000023−23−23230000000000000000000000000000000
χ734-4-44-24-44-42-4-224-2000022-200-4-224000000002-200000000000000−232323−230000000000000000000000000000000
χ744-4-44-2-24-4222-22-214i−4i4-4-1-114i−4i-22-22−2i2i−2i2i-22-221-1−2i2i−2i2iii−i−i000000000000i−i1-10000000000000000000000000
χ754-4-44-2-24-4222-22-214i−4i-44-1-11−4i4i-22-22−2i2i−2i2i2-22-21-12i−2i2i−2i−i−iii000000000000i−i-110000000000000000000000000
χ764-4-44-2-24-4222-22-21−4i4i4-4-1-11−4i4i-22-222i−2i2i−2i-22-221-12i−2i2i−2i−i−iii000000000000−ii1-10000000000000000000000000
χ774-4-44-2-24-4222-22-21−4i4i-44-1-114i−4i-22-222i−2i2i−2i2-22-21-1−2i2i−2i2iii−i−i000000000000−ii-110000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-42000022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-88-4004-8-4-884-40000-44400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-8484-4-8-40000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-40044-44-44200002-2-20000000000000000000032−3232−3200000000000000000000000000000000000000000
χ8288-8-8-4-40044-44-44200002-2-200000000000000000000−3232−323200000000000000000000000000000000000000000
χ838-88-88-400-484-8-84-400004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48008-4-844-8-400004-4400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-4-4444420000-22-200000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-400-4-4444420000-22-2000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-420000-2-22004-44-400000000-220000000000000000000000000000000000000000000000000

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