Finite Group Databasebeta

← Group #11895691

Character table — Group #11895691

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order12223344666666888836661212121224242424242424244444121212122466121212122424242444444488881212121212122424242424242424666121212444412121212488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-11-1-111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-111-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-11-111-1-1-1111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1111-1-1-1-1-11-111-1-1-1111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-11-1-111-111-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-111-1111-1-11-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1111111-1-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-200000000-2-20000-2-2-2-2220000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-200000000-220000-2-222-2-200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-2000000002-2000022-2-22200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-2000000002200002222-2-20000000000000022000000-2000000
χ2122222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100220000222222-1-1-1-1-1-1000002002200-1-1-1-10000-1-1-1-1-1-1-1-1-1-100220000000-1-100
χ2222222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100220000-2-2-2-2-2-2-1-1-1-1-1-1000002002200-1-1-1-10000-1-1-1-111111100-2-200000001100
χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-20000222222-1-1-1-1-1-100000-200-2-200111100001111-1-1-1-1-1-100-2-200000001100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000-200-2-20011110000111111111100220000000-1-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200002-222-2-2-1-1111100000200-2-200-1-1-1-100001111-1-1-1111002-20000000-1100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100220000-22-2-222-1-1111100000200-2-200-1-1-1-100001111111-1-1-100-2200000001-100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200002-222-2-2-1-1111100000-200220011110000-1-1-1-1-1-1-111100-2200000001-100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-20000-22-2-222-1-1111100000-200220011110000-1-1-1-1111-1-1-1002-20000000-1100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-122-1-1-1-1-1-1-1-1-1-12222202200-1-10000-1-1-1-100002-1-12-1-10000-1-1-1-10000000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200-1-1-1-1-2-21111-1-1-1-1-1-1-2-2-2-2202200-1-10000-1-1-1-10000-211-211000011110000000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200111122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20-2-200110000111100002-1-12-1-1000011110000000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2001111-2-21111-1-1-1-1-1-12222-20-2-20011000011110000-211-2110000-1-1-1-10000000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-12-2-1-111-1-11111-2-22220-2-200-1-10000111100002-1-1-211000011-1-10000000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22200-1-1-1-1-2211-1-1-1-1111122-2-220-2-200-1-1000011110000-2112-1-10000-1-1110000000
χ352222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-20011112-2-1-111-1-1111122-2-2-202200110000-1-1-1-100002-1-1-2110000-1-1110000000
χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2001111-2211-1-1-1-11111-2-222-202200110000-1-1-1-10000-2112-1-1000011-1-10000000
χ3722-2-222-22-2-222-2-22i2i−2i−2i2-22-2-2-2222i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i2-22i−2i0000000000000000000000000000002-22i−2i0000000
χ3822-2-222-22-2-222-2-22i2i−2i−2i2-22-2-2-2222i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i-22−2i2i000000000000000000000000000000-22−2i2i0000000
χ3922-2-222-22-2-222-2-2−2i−2i2i2i2-22-2-2-222−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i2-2−2i2i0000000000000000000000000000002-2−2i2i0000000
χ4022-2-222-22-2-222-2-2−2i−2i2i2i2-22-2-2-222−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i-222i−2i000000000000000000000000000000-222i−2i0000000
χ4122-2-2-12-221-2-121-22i2i−2i−2i-11-111-2-12−i−iii2i2i−2i−2i000033−3−300−i3i33−3-11−i−iii2-22i−2i0000003−30000−i3−i3i3i300000−i3i303−30000-11−ii0000000
χ4222-2-2-12-221-2-121-22i2i−2i−2i-11-111-2-12−i−iii2i2i−2i−2i000033−3−300i3−i3−33-11−i−iii-22−2i2i0000003−30000−i3−i3i3i300000i3−i30−3300001-1i−i0000000
χ4322-2-2-12-221-2-121-22i2i−2i−2i-11-111-2-12−i−iii2i2i−2i−2i0000−3−33300−i3i33−3-11−i−iii-22−2i2i000000−330000i3i3−i3−i300000−i3i303−300001-1i−i0000000
χ4422-2-2-12-221-2-121-22i2i−2i−2i-11-111-2-12−i−iii2i2i−2i−2i0000−3−33300i3−i3−33-11−i−iii2-22i−2i000000−330000i3i3−i3−i300000i3−i30−330000-11−ii0000000
χ4522-2-2-12-221-2-121-2−2i−2i2i2i-11-111-2-12ii−i−i−2i−2i2i2i000033−3−300−i3i3−33-11ii−i−i-222i−2i0000003−30000i3i3−i3−i300000−i3i30−3300001-1−ii0000000
χ4622-2-2-12-221-2-121-2−2i−2i2i2i-11-111-2-12ii−i−i−2i−2i2i2i000033−3−300i3−i33−3-11ii−i−i2-2−2i2i0000003−30000i3i3−i3−i300000i3−i303−30000-11i−i0000000
χ4722-2-2-12-221-2-121-2−2i−2i2i2i-11-111-2-12ii−i−i−2i−2i2i2i0000−3−33300−i3i3−33-11ii−i−i2-2−2i2i000000−330000−i3−i3i3i300000−i3i30−330000-11i−i0000000
χ4822-2-2-12-221-2-121-2−2i−2i2i2i-11-111-2-12ii−i−i−2i−2i2i2i0000−3−33300i3−i33−3-11ii−i−i-222i−2i000000−330000−i3−i3i3i300000i3−i303−300001-1−ii0000000
χ492-2-22220022-2-2-2-22−22−22-2-2200002−22−22−22−22i−2i2i−2i2i−2i2i−2i000000002−22−2000000−i2i2−i2i200002i−2i−i2i2−i2i2−i2−i2i2i20000002-200000002−20000
χ502-2-22220022-2-2-2-22−22−22-2-2200002−22−22−22−22i−2i−2i2i2i−2i2i−2i000000002−22−2000000−i2i2i2−i20000−2i2i−i2i2−i2i2i2i2−i2−i2000000-220000000−220000
χ512-2-22220022-2-2-2-22−22−22-2-2200002−22−22−22−2−2i2i2i−2i−2i2i−2i2i000000002−22−2000000i2−i2−i2i200002i−2ii2−i2i2−i2−i2−i2i2i2000000-220000000−220000
χ522-2-22220022-2-2-2-22−22−22-2-2200002−22−22−22−2−2i2i−2i2i−2i2i−2i2i000000002−22−2000000i2−i2i2−i20000−2i2ii2−i2i2−i2i2i2−i2−i20000002-200000002−20000
χ532-2-22220022-2-2-2-2−22−222-2-220000−22−22−22−222i−2i2i−2i2i−2i2i−2i00000000−22−22000000i2−i2i2−i200002i−2ii2−i2i2−i2i2i2−i2−i20000002-20000000−220000
χ542-2-22220022-2-2-2-2−22−222-2-220000−22−22−22−222i−2i−2i2i2i−2i2i−2i00000000−22−22000000i2−i2−i2i20000−2i2ii2−i2i2−i2−i2−i2i2i2000000-2200000002−20000
χ552-2-22220022-2-2-2-2−22−222-2-220000−22−22−22−22−2i2i2i−2i−2i2i−2i2i00000000−22−22000000−i2i2i2−i200002i−2i−i2i2−i2i2i2i2−i2−i2000000-2200000002−20000
χ562-2-22220022-2-2-2-2−22−222-2-220000−22−22−22−22−2i2i−2i2i−2i2i−2i2i00000000−22−22000000−i2i2−i2i20000−2i2i−i2i2−i2i2−i2−i2i2i20000002-20000000−220000
χ5744444-2-4-44-24-24-20000-2-2-2-2-42-42000000000044000000000022000000000-400000022-2-200000000000000000000000000000
χ5844444-2-4-44-24-24-20000-2-2-2-2-42-420000000000-4-40000000000220000000004000000-2-22200000000000000000000000000000
χ594444-24-4-4-24-24-240000-2-2-2-22-42-4000000004400-2-2-2-20000002200000000-40000022000000000000000000000000000000000
χ604444-24-4-4-24-24-240000-2-2-2-22-42-400000000-4-40022220000002200000000400000-2-2000000000000000000000000000000000
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
χ6544-4-4444-4-4-444-4-400004-44-444-4-40000000000000000000000-440000000000000000000000000000000000000000000000000
χ6644-4-44-24-4-424-2-420000-22-224-2-4200000000000000000000002-200000000000000000000000023−2323−23000000000000000000000
χ6744-4-44-24-4-424-2-420000-22-224-2-4200000000000000000000002-2000000000000000000000000−2323−2323000000000000000000000
χ6844-4-44-2-44-424-2-424i4i−4i−4i-22-22-424-24i4i−4i−4i−2i−2i2i2i00000000000000-22−2i−2i2i2i000000000000000000000000000000000000000000000
χ6944-4-44-2-44-424-2-42−4i−4i4i4i-22-22-424-2−4i−4i4i4i2i2i−2i−2i00000000000000-222i2i−2i−2i000000000000000000000000000000000000000000000
χ7044-4-4-244-42-4-242-40000-22-22-242-40000000000002323−23−230000002-200000000000000−2323000000000000000000000000000000000
χ7144-4-4-244-42-4-242-40000-22-22-242-4000000000000−23−2323230000002-20000000000000023−23000000000000000000000000000000000
χ7244-4-4-2-2-4422-2-2224i4i−4i−4i1-11-122-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2i32i323−231-1ii−i−i0000000000000000000000000i3−i30−33000000000000000
χ7344-4-4-2-2-4422-2-2224i4i−4i−4i1-11-122-2-2−2i−2i2i2i−2i−2i2i2i00000000002i3−2i3−23231-1ii−i−i0000000000000000000000000−i3i303−3000000000000000
χ7444-4-4-2-2-4422-2-222−4i−4i4i4i1-11-122-2-22i2i−2i−2i2i2i−2i−2i0000000000−2i32i3−23231-1−i−iii0000000000000000000000000i3−i303−3000000000000000
χ7544-4-4-2-2-4422-2-222−4i−4i4i4i1-11-122-2-22i2i−2i−2i2i2i−2i−2i00000000002i3−2i323−231-1−i−iii0000000000000000000000000−i3i30−33000000000000000
χ764-44-44400-4-4-4-444−2i22i22i2−2i244-4-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ774-44-44400-4-4-4-4442i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ784-44-44-200-42-424-2−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i200000000000023−23000000i6−i6−i6i6000000000000000000000
χ794-44-44-200-42-424-2−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i2000000000000−2323000000−i6i6i6−i6000000000000000000000
χ804-44-44-200-42-424-22i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i200000000000023−23000000−i6i6i6−i6000000000000000000000
χ814-44-44-200-42-424-22i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i2000000000000−2323000000i6−i6−i6i6000000000000000000000
χ824-44-4-24002-42-4-24−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i20000−2i32i32i3−2i300000000i2−i2−i2i20000000000000000−666−60000000000000000000000000
χ834-44-4-24002-42-4-24−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200002i3−2i3−2i32i300000000i2−i2−i2i200000000000000006−6−660000000000000000000000000
χ844-44-4-24002-42-4-242i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i20000−2i32i32i3−2i300000000−i2i2i2−i200000000000000006−6−660000000000000000000000000
χ854-44-4-24002-42-4-242i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200002i3−2i3−2i32i300000000−i2i2i2−i20000000000000000−666−60000000000000000000000000
χ864-4-444-2004-2-42-4222−2222−22-222-2000022−2222−22−22−22004i−4i000000000000−22−2200000000−2i22i20000−2i2i0000i2i2−i2−i2000000000000000000000
χ874-4-444-2004-2-42-4222−2222−22-222-2000022−2222−22−22−2200−4i4i000000000000−22−22000000002i2−2i200002i−2i0000−i2−i2i2i2000000000000000000000
χ884-4-444-2004-2-42-42−2222−2222-222-20000−2222−22222−22−2004i−4i0000000000002−22−2000000002i2−2i20000−2i2i0000−i2−i2i2i2000000000000000000000
χ894-4-444-2004-2-42-42−2222−2222-222-20000−2222−22222−22−200−4i4i0000000000002−22−200000000−2i22i200002i−2i0000i2i2−i2−i2000000000000000000000
χ904-4-44-2400-242-42-422−2222−22-222-20000−22−2222−2222−224i−4i00−2i2i−2i2i00000000−22−22000000−2i22i200000000i2−i2i2−i20000000000000000000000000
χ914-4-44-2400-242-42-422−2222−22-222-20000−22−2222−2222−22−4i4i002i−2i2i−2i00000000−22−220000002i2−2i200000000−i2i2−i2i20000000000000000000000000
χ924-4-44-2400-242-42-4−2222−2222-222-200002−22−2−2222−22224i−4i00−2i2i−2i2i000000002−22−20000002i2−2i200000000−i2i2−i2i20000000000000000000000000
χ934-4-44-2400-242-42-4−2222−2222-222-200002−22−2−2222−2222−4i4i002i−2i2i−2i000000002−22−2000000−2i22i200000000i2−i2i2−i20000000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-844-4-44400002-22-2-4-4440000000000000000000000-220000000000000000000000000000000000000000000000000
χ968-88-8-4-4004444-4-4−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-4004444-4-44i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ988-8-88-4-400-4-4444442−4242−422-2-220000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-400-4-44444−4242−42422-2-22000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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