Finite Group Databasebeta

← Group #11887047

Character table — Group #11887047

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order1222334466666688883666121212122424242424242424224466662466121212122424242422444488881212121212122424242424242424666121212222466121248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-11-1-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111-111-1-11-1-11-1-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-1-111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-111-11-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-111-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-11-1-1-111-1111-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-11-111-1-11111-1-111-1-1-1-11111111-1-1-1-1-11-1-1-111-1111-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-1-1111-1-1-111-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111-1-1-111-11-1-1111-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1111111-111-1-11-1-11-11-1
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-2000000-2-2000000-2-2-2-2220000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000002-200000022-2-2-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000-22000000-2-2222200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-2000000220000002222-2-20000000000000022000000-2000000
χ2122222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-1220222002200-1-1000000-1-1-1-12-1-12-1-10000-1-1-1-10000000
χ2222222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-12200-1-1-1-1-2-21111-1-1-1-1-1-1-2-202-2-2002200-1-1000000-1-1-1-1-211-211000011110000000
χ2322222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-1-2-200111122-1-1-1-1-1-1-1-1-1-1-2-20-2-2-200-2-2001100000011112-1-12-1-1000011110000000
χ2422222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-1-2-2001111-2-21111-1-1-1-1-1-1220-22200-2-200110000001111-211-2110000-1-1-1-10000000
χ2522222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-12-2-1-111-1-111112202-2-200-2-200-1-100000011112-1-1-2110000-1-1110000000
χ2622222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-1-1-1-1-2211-1-1-1-11111-2-2022200-2-200-1-10000001111-2112-1-1000011-1-10000000
χ2722222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-20011112-2-1-111-1-11111-2-20-22200220011000000-1-1-1-12-1-1-211000011-1-10000000
χ2822222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2001111-2211-1-1-1-11111220-2-2-200220011000000-1-1-1-1-2112-1-10000-1-1110000000
χ292222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200220000222222-1-1-1-1-1-10020002200-1-100-1-1-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ302222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200220000-2-2-2-2-2-2-1-1-1-1-1-10020002200-1-100-1-1-1-1-1-1000011111100-2-200000001100
χ312222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200-2-20000222222-1-1-1-1-1-100-2000-2-20011001111110000-1-1-1-1-1-100-2-200000001100
χ322222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100-2000-2-2001100111111000011111100220000000-1-100
χ332222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-2002200002-222-2-2-1-11111002000-2-200-1-100-1-111110000-1-1-1111002-20000000-1100
χ342222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200220000-22-2-222-1-11111002000-2-200-1-100-1-111110000111-1-1-100-2200000001-100
χ352222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-200002-222-2-2-1-1111100-20002200110011-1-1-1-10000-1-1-111100-2200000001-100
χ362222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-20000-22-2-222-1-1111100-20002200110011-1-1-1-10000111-1-1-1002-20000000-1100
χ372-22-2222-2-22-22-2-22i2i−2i−2i2-22-22-22-22i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i2-2002i−2i00000000000000000000000000002-22i−2i0000000
χ382-22-2222-2-22-22-2-22i2i−2i−2i2-22-22-22-22i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i-2200−2i2i0000000000000000000000000000-22−2i2i0000000
χ392-22-2222-2-22-22-2-2−2i−2i2i2i2-22-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i2-200−2i2i00000000000000000000000000002-2−2i2i0000000
χ402-22-2222-2-22-22-2-2−2i−2i2i2i2-22-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i-22002i−2i0000000000000000000000000000-222i−2i0000000
χ412-22-22-12-212-2-11-22i2i−2i−2i-11-11-1-2212i2i−2i−2i−i−iii0000−i3−i3i3i300−i3i33−3-11−i−iii2-2002i−2i000000−i3i300000033−3−30−i3i303−30000-11−ii0000000
χ422-22-22-12-212-2-11-22i2i−2i−2i-11-11-1-2212i2i−2i−2i−i−iii0000−i3−i3i3i300i3−i3−33-11−i−iii-2200−2i2i000000−i3i300000033−3−30i3−i30−3300001-1i−i0000000
χ432-22-22-12-212-2-11-22i2i−2i−2i-11-11-1-2212i2i−2i−2i−i−iii0000i3i3−i3−i300−i3i33−3-11−i−iii-2200−2i2i000000i3−i3000000−3−3330−i3i303−300001-1i−i0000000
χ442-22-22-12-212-2-11-22i2i−2i−2i-11-11-1-2212i2i−2i−2i−i−iii0000i3i3−i3−i300i3−i3−33-11−i−iii2-2002i−2i000000i3−i3000000−3−3330i3−i30−330000-11−ii0000000
χ452-22-22-12-212-2-11-2−2i−2i2i2i-11-11-1-221−2i−2i2i2iii−i−i0000−i3−i3i3i300−i3i3−33-11ii−i−i2-200−2i2i000000−i3i3000000−3−3330−i3i30−330000-11i−i0000000
χ462-22-22-12-212-2-11-2−2i−2i2i2i-11-11-1-221−2i−2i2i2iii−i−i0000−i3−i3i3i300i3−i33−3-11ii−i−i-22002i−2i000000−i3i3000000−3−3330i3−i303−300001-1−ii0000000
χ472-22-22-12-212-2-11-2−2i−2i2i2i-11-11-1-221−2i−2i2i2iii−i−i0000i3i3−i3−i300−i3i3−33-11ii−i−i-22002i−2i000000i3−i300000033−3−30−i3i30−3300001-1−ii0000000
χ482-22-22-12-212-2-11-2−2i−2i2i2i-11-11-1-221−2i−2i2i2iii−i−i0000i3i3−i3−i300i3−i33−3-11ii−i−i2-200−2i2i000000i3−i300000033−3−30i3−i303−30000-11i−i0000000
χ492-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-22-22-22-2000000002−22−20000002−22−200002-222−2−22−22−20000002-200000002−20000
χ502-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-2-222-22-2000000002−22−2000000−222−20000-22−2−2222−22−2000000-220000000−220000
χ512-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-222-2-22-22000000002−22−20000002−2−2200002-222−2−2−22−22000000-220000000−220000
χ522-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-22-22-22-22000000002−22−2000000−22−220000-22−2−222−22−220000002-200000002−20000
χ532-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-22-22-22-200000000−22−22000000−22−2200002-2−2−222−22−220000002-20000000−220000
χ542-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-2-222-22-200000000−22−220000002−2−220000-2222−2−2−22−22000000-2200000002−20000
χ552-2-222200-2-2-2-222−22−222-2-220000−22−22−22−22-222-2-22-2200000000−22−22000000−222−200002-2−2−2222−22−2000000-2200000002−20000
χ562-2-222200-2-2-2-222−22−222-2-220000−22−22−22−22-22-22-22-2200000000−22−220000002−22−20000-2222−2−22−22−20000002-20000000−220000
χ5744444-2-4-4-244-2-240000-2-2-2-22-4-42000000004400-2-2-2-2000000220000000-400000000220000000000000000000000000000000
χ5844444-2-4-4-244-2-240000-2-2-2-22-4-4200000000-4-4002222000000220000000400000000-2-20000000000000000000000000000000
χ594444-24-4-44-2-244-20000-2-2-2-2-422-4000000000044000000000022000000-400000002200-2-200000000000000000000000000000
χ604444-24-4-44-2-244-20000-2-2-2-2-422-40000000000-4-400000000002200000040000000-2-2002200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-211-211000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000000002-1-12-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-1000000000000000000000000-2112-1-1000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-1-1-211000000000000000
χ6544-4-444004-44-4-4-4−2i22i22i2−2i244-4-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ6644-4-444004-44-4-4-42i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ6744-4-44-200-2-4422-4−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i20000−2i32i32i3−2i300000000i2−i2−i2i200000000000000000000−666−6000000000000000000000
χ6844-4-44-200-2-4422-4−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i200002i3−2i3−2i32i300000000i2−i2−i2i2000000000000000000006−6−66000000000000000000000
χ6944-4-44-200-2-4422-42i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i20000−2i32i32i3−2i300000000−i2i2i2−i2000000000000000000006−6−66000000000000000000000
χ7044-4-44-200-2-4422-42i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i200002i3−2i3−2i32i300000000−i2i2i2−i200000000000000000000−666−6000000000000000000000
χ7144-4-4-240042-2-4-42−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i20000000000000000i2−i2−i2i20000000000−2i32i300006−66−60000000000000000000000000
χ7244-4-4-240042-2-4-42−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i20000000000000000i2−i2−i2i200000000002i3−2i30000−66−660000000000000000000000000
χ7344-4-4-240042-2-4-422i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i20000000000−2i32i30000−66−660000000000000000000000000
χ7444-4-4-240042-2-4-422i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000000000000000−i2i2i2−i200000000002i3−2i300006−66−60000000000000000000000000
χ754-44-444-44-44-44-4-400004-44-4-44-440000000000000000000000-440000000000000000000000000000000000000000000000000
χ764-44-44-2-4424-4-22-40000-22-2224-4-2000000000000−2i3−2i32i32i30000002-200000000000000002i3−2i30000000000000000000000000000000
χ774-44-44-2-4424-4-22-40000-22-2224-4-20000000000002i32i3−2i3−2i30000002-20000000000000000−2i32i30000000000000000000000000000000
χ784-44-4-244-4-4-224-424i4i−4i−4i-22-2242-2-4−2i−2i2i2i4i4i−4i−4i00000000000000-22−2i−2i2i2i000000000000000000000000000000000000000000000
χ794-44-4-244-4-4-224-42−4i−4i4i4i-22-2242-2-42i2i−2i−2i−4i−4i4i4i00000000000000-222i2i−2i−2i000000000000000000000000000000000000000000000
χ804-44-4-24-44-4-224-420000-22-22-4-22400000000000000000000002-20000000000000000000023−23−23230000000000000000000000000
χ814-44-4-24-44-4-224-420000-22-22-4-22400000000000000000000002-200000000000000000000−232323−230000000000000000000000000
χ824-44-4-2-24-42-22-2224i4i−4i−4i1-11-1-22-22−2i−2i2i2i−2i−2i2i2i0000000000−2i32i323−231-1ii−i−i0000000000000000000000000i3−i30−33000000000000000
χ834-44-4-2-24-42-22-2224i4i−4i−4i1-11-1-22-22−2i−2i2i2i−2i−2i2i2i00000000002i3−2i3−23231-1ii−i−i0000000000000000000000000−i3i303−3000000000000000
χ844-44-4-2-24-42-22-222−4i−4i4i4i1-11-1-22-222i2i−2i−2i2i2i−2i−2i0000000000−2i32i3−23231-1−i−iii0000000000000000000000000i3−i303−3000000000000000
χ854-44-4-2-24-42-22-222−4i−4i4i4i1-11-1-22-222i2i−2i−2i2i2i−2i−2i00000000002i3−2i323−231-1−i−iii0000000000000000000000000−i3i30−33000000000000000
χ864-4-444-2002-4-42-2422−2222−22-222-2000022−2222−22−22−224-400-22-2200000000−22−220000000022−220000000000−22−22000000000000000000000
χ874-4-444-2002-4-42-2422−2222−22-222-2000022−2222−22−22−22-44002-22-200000000−22−2200000000−222200000000002−22−2000000000000000000000
χ884-4-444-2002-4-42-24−2222−2222-222-20000−2222−22222−22−24-400-22-22000000002−22−200000000−222200000000002−22−2000000000000000000000
χ894-4-444-2002-4-42-24−2222−2222-222-20000−2222−22222−22−2-44002-22-2000000002−22−20000000022−220000000000−22−22000000000000000000000
χ904-4-44-2400-422-44-222−2222−22-222-20000−22−2222−2222−22004-4000000000000−22−2200000022−22000000-22−2−2220000000000000000000000000
χ914-4-44-2400-422-44-222−2222−22-222-20000−22−2222−2222−2200-44000000000000−22−22000000−22220000002-222−2−20000000000000000000000000
χ924-4-44-2400-422-44-2−2222−2222-222-200002−22−2−2222−2222004-40000000000002−22−2000000−2222000000-2222−2−20000000000000000000000000
χ934-4-44-2400-422-44-2−2222−2222-222-200002−22−2−2222−222200-440000000000002−22−200000022−220000002-2−2−2220000000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44-4444−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-44444i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ978-88-8-4-4-884-44-44400002-22-24-44-40000000000000000000000-220000000000000000000000000000000000000000000000000
χ988-8-88-4-4004444-4-442−4242−422-2-220000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-4004444-4-4−4242−42422-2-22000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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