Finite Group Databasebeta

← Group #11895693

Character table — Group #11895693

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121212121212161616161616181824242424242436363648487272
order122233446666668888366612121212242424242424242444441212121244121212121212242424244444448888121212121212242424242424242412121212121244241212121248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111111111111111111111111111-1-111111111111111111111111-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
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
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-1111-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1111-1-11-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1-11-1-1111111-1-1-1-1-1-111111-1-1-111-1-11-111-1-1-1111-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1111-1-1-1-1-11-1-111-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-1-11-1-111-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-11-111-1-1-1111-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-11111-1111-1-11-1-1-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111111111-1111-1-1111-1-1-1111-1-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022222222000000-2-2000000-200-2000022-2-2-2-20000000000000022000000-2000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-2000000200-2000022-2-22200000000000000-2-20000002000000
χ19222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-2000000-20020000-2-222-2-200000000000000-2-20000002000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2-2-2000000-2-200000020020000-2-222220000000000000022000000-2000000
χ2122222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-122000000222222-1-1-1-1-1-10000022200-1-1-1-100-1-1-1-10000-1-1-1-1-1-100220000000-1-100
χ2222222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-122000000-2-2-2-2-2-2-1-1-1-1-1-10000022200-1-1-1-100-1-1-1-1000011111100-2-200000001100
χ2322222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-1-2-2000000222222-1-1-1-1-1-100000-2-2-20011110011110000-1-1-1-1-1-100-2-200000001100
χ2422222-1222-1-12-122222-1-1-1-1-12-122222-1-1-1-1-2-2000000-2-2-2-2-2-2-1-1-1-1-1-100000-2-2-2001111001111000011111100220000000-1-100
χ2522222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-21111220000002-222-2-2-1-11111000002-2-200-1-1-1-10011110000-1111-1-1002-20000000-1100
χ2622222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-2111122000000-22-2-222-1-11111000002-2-200-1-1-1-100111100001-1-1-11100-2200000001-100
χ2722222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-20000002-222-2-2-1-1111100000-22200111100-1-1-1-10000-1111-1-100-2200000001-100
χ2822222-1222-1-12-12-2-2-2-2-1-1-1-1-12-12-2-2-2-21111-2-2000000-22-2-222-1-1111100000-22200111100-1-1-1-100001-1-1-111002-20000000-1100
χ292222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-122220022-1-1-1-122-1-1-1-1-1-1-1-1-1-122222000220000-1-10000-1-1-1-122-1-1-1-10000-1-1-1-10000000
χ302222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-122220022-1-1-1-1-2-21111-1-1-1-1-1-1-2-22-2-2000220000-1-10000-1-1-1-1-2-21111000011110000000
χ312222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-1222200-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2000-2-20000110000111122-1-1-1-1000011110000000
χ322222-1222-122-12-12222-1-1-1-12-12-1-1-1-1-1222200-2-21111-2-21111-1-1-1-1-1-122-222000-2-200001100001111-2-211110000-1-1-1-10000000
χ332222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-20022-1-1-1-12-2-1-111-1-11111-2-2222000-2-20000-1-1000011112-211-1-1000011-1-10000000
χ342222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-20022-1-1-1-1-2211-1-1-1-11111222-2-2000-2-20000-1-100001111-22-1-1110000-1-1110000000
χ352222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-211112-2-1-111-1-1111122-2-2-2000220000110000-1-1-1-12-211-1-10000-1-1110000000
χ362222-1222-122-12-1-2-2-2-2-1-1-1-12-12-11111-2-2-2-200-2-21111-2211-1-1-1-11111-2-2-222000220000110000-1-1-1-1-22-1-111000011-1-10000000
χ3722-2-222-22-22-22-2-22i2i−2i−2i2-2-22-2-2222i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i2-202i−2i000000000000000000000000000002-22i−2i0000000
χ3822-2-222-22-22-22-2-22i2i−2i−2i2-2-22-2-2222i2i−2i−2i2i2i−2i−2i000000000000002-22i2i−2i−2i-220−2i2i00000000000000000000000000000-22−2i2i0000000
χ3922-2-222-22-22-22-2-2−2i−2i2i2i2-2-22-2-222−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i2-20−2i2i000000000000000000000000000002-2−2i2i0000000
χ4022-2-222-22-22-22-2-2−2i−2i2i2i2-2-22-2-222−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i−2i2i2i-2202i−2i00000000000000000000000000000-222i−2i0000000
χ4122-2-2-12-2212-2-1-212i2i−2i−2i-111-1-212-1−i−iii2i2i−2i−2i000033−3−300−i3i33−3-11−i−iii2-202i−2i0000000003−30000−i3−i3i3i3003−3−i3i30000-11−ii0000000
χ4222-2-2-12-2212-2-1-212i2i−2i−2i-111-1-212-1−i−iii2i2i−2i−2i000033−3−300i3−i3−33-11−i−iii-220−2i2i0000000003−30000−i3−i3i3i300−33i3−i300001-1i−i0000000
χ4322-2-2-12-2212-2-1-212i2i−2i−2i-111-1-212-1−i−iii2i2i−2i−2i0000−3−33300−i3i33−3-11−i−iii-220−2i2i000000000−330000i3i3−i3−i3003−3−i3i300001-1i−i0000000
χ4422-2-2-12-2212-2-1-212i2i−2i−2i-111-1-212-1−i−iii2i2i−2i−2i0000−3−33300i3−i3−33-11−i−iii2-202i−2i000000000−330000i3i3−i3−i300−33i3−i30000-11−ii0000000
χ4522-2-2-12-2212-2-1-21−2i−2i2i2i-111-1-212-1ii−i−i−2i−2i2i2i000033−3−300−i3i3−33-11ii−i−i-2202i−2i0000000003−30000i3i3−i3−i300−33−i3i300001-1−ii0000000
χ4622-2-2-12-2212-2-1-21−2i−2i2i2i-111-1-212-1ii−i−i−2i−2i2i2i000033−3−300i3−i33−3-11ii−i−i2-20−2i2i0000000003−30000i3i3−i3−i3003−3i3−i30000-11i−i0000000
χ4722-2-2-12-2212-2-1-21−2i−2i2i2i-111-1-212-1ii−i−i−2i−2i2i2i0000−3−33300−i3i3−33-11ii−i−i2-20−2i2i000000000−330000−i3−i3i3i300−33−i3i30000-11i−i0000000
χ4822-2-2-12-2212-2-1-21−2i−2i2i2i-111-1-212-1ii−i−i−2i−2i2i2i0000−3−33300i3−i33−3-11ii−i−i-2202i−2i000000000−330000−i3−i3i3i3003−3i3−i300001-1−ii0000000
χ492-2-2222002-2-2-22-22−22−222-2-200002−22−22−22−22i−2i2-22-22-2000000002−22−2000000−i2i22−22i−2i0000−i2−i2i2i22−22−20000002i−2i0000000−i2i20000
χ502-2-2222002-2-2-22-22−22−222-2-200002−22−22−22−22i−2i-22-22-22000000002−22−2000000−i2i2−222i−2i0000−i2−i2i2i2−22−22000000−2i2i0000000i2−i20000
χ512-2-2222002-2-2-22-22−22−222-2-200002−22−22−22−2−2i2i2-22-22-2000000002−22−2000000i2−i22−2−2i2i0000i2i2−i2−i22−22−2000000−2i2i0000000i2−i20000
χ522-2-2222002-2-2-22-22−22−222-2-200002−22−22−22−2−2i2i-22-22-22000000002−22−2000000i2−i2−22−2i2i0000i2i2−i2−i2−22−220000002i−2i0000000−i2i20000
χ532-2-2222002-2-2-22-2−22−2222-2-20000−22−22−22−222i−2i2-22-22-200000000−22−22000000i2−i2−222i−2i0000i2i2−i2−i2−22−220000002i−2i0000000i2−i20000
χ542-2-2222002-2-2-22-2−22−2222-2-20000−22−22−22−222i−2i-22-22-2200000000−22−22000000i2−i22−22i−2i0000i2i2−i2−i22−22−2000000−2i2i0000000−i2i20000
χ552-2-2222002-2-2-22-2−22−2222-2-20000−22−22−22−22−2i2i2-22-22-200000000−22−22000000−i2i2−22−2i2i0000−i2−i2i2i2−22−22000000−2i2i0000000−i2i20000
χ562-2-2222002-2-2-22-2−22−2222-2-20000−22−22−22−22−2i2i-22-22-2200000000−22−22000000−i2i22−2−2i2i0000−i2−i2i2i22−22−20000002i−2i0000000i2−i20000
χ5744444-2-4-44-2-24-240000-2-2-2-22-42-4000000004400000000000022000000000-40000-2-2220000000000000000000000000000000
χ5844444-2-4-44-2-24-240000-2-2-2-22-42-400000000-4-4000000000000220000000004000022-2-20000000000000000000000000000000
χ594444-24-4-4-244-24-20000-2-2-2-2-42-42000000000044-2-2-2-200000022000000-4000000000002200000000000000000000000000000
χ604444-24-4-4-244-24-20000-2-2-2-2-42-420000000000-4-4222200000022000000400000000000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2111111000000000000000000000000-2-21111000000000000000
χ624444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4222211111100000000000000000000000022-1-1-1-1000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-1000000000000000000000000-22-1-111000000000000000
χ644444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-10000000000000000000000002-211-1-1000000000000000
χ6544-4-4444-4-44-44-4-400004-4-4444-4-40000000000000000000000-440000000000000000000000000000000000000000000000000
χ6644-4-44-24-4-4-2242-40000-222-2-242-400000000000000000000002-20000000000000000000023−2323−230000000000000000000000000
χ6744-4-44-24-4-4-2242-40000-222-2-242-400000000000000000000002-200000000000000000000−2323−23230000000000000000000000000
χ6844-4-44-2-44-4-2242-44i4i−4i−4i-222-22-4-244i4i−4i−4i−2i−2i2i2i00000000000000-22−2i−2i2i2i000000000000000000000000000000000000000000000
χ6944-4-44-2-44-4-2242-4−4i−4i4i4i-222-22-4-24−4i−4i4i4i2i2i−2i−2i00000000000000-222i2i−2i−2i000000000000000000000000000000000000000000000
χ7044-4-4-244-424-4-2-420000-222-24-2-420000000000002323−23−230000002-2000000000000000000−232300000000000000000000000000000
χ7144-4-4-244-424-4-2-420000-222-24-2-42000000000000−23−2323230000002-200000000000000000023−2300000000000000000000000000000
χ7244-4-4-2-2-442-22-2224i4i−4i−4i1-1-1122-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2i32i323−231-1ii−i−i00000000000000000000000000−33i3−i3000000000000000
χ7344-4-4-2-2-442-22-2224i4i−4i−4i1-1-1122-2-2−2i−2i2i2i−2i−2i2i2i00000000002i3−2i3−23231-1ii−i−i000000000000000000000000003−3−i3i3000000000000000
χ7444-4-4-2-2-442-22-222−4i−4i4i4i1-1-1122-2-22i2i−2i−2i2i2i−2i−2i0000000000−2i32i3−23231-1−i−iii000000000000000000000000003−3i3−i3000000000000000
χ7544-4-4-2-2-442-22-222−4i−4i4i4i1-1-1122-2-22i2i−2i−2i2i2i−2i−2i00000000002i3−2i323−231-1−i−iii00000000000000000000000000−33−i3i3000000000000000
χ764-44-44400-4-44-4-44−2i22i22i2−2i24-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000
χ774-44-44400-4-44-4-442i2−2i2−2i22i24-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000
χ784-44-44-200-42-2-424−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i200000000000023−2300i6−i6−i6i60000000000000000000000000
χ794-44-44-200-42-2-424−2i22i22i2−2i2-22-220000−2i22i22i2−2i2i2−i2−i2i20000000000000000i2−i2−i2i2000000000000−232300−i6i6i6−i60000000000000000000000000
χ804-44-44-200-42-2-4242i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i200000000000023−2300−i6i6i6−i60000000000000000000000000
χ814-44-44-200-42-2-4242i2−2i2−2i22i2-22-2200002i2−2i2−2i22i2−i2i2i2−i20000000000000000−i2i2i2−i2000000000000−232300i6−i6−i6i60000000000000000000000000
χ824-44-4-24002-442-4-2−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i2000023−23−232300000000i2−i2−i2i200000000000000000000i6−i6−i6i6000000000000000000000
χ834-44-4-24002-442-4-2−2i22i22i2−2i2-22-220000i2−i2−i2i2−2i22i22i2−2i20000−232323−2300000000i2−i2−i2i200000000000000000000−i6i6i6−i6000000000000000000000
χ844-44-4-24002-442-4-22i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i2000023−23−232300000000−i2i2i2−i200000000000000000000−i6i6i6−i6000000000000000000000
χ854-44-4-24002-442-4-22i2−2i2−2i22i2-22-220000−i2i2i2−i22i2−2i2−2i22i20000−232323−2300000000−i2i2i2−i200000000000000000000i6−i6−i6i6000000000000000000000
χ864-4-444-200422-4-2-422−2222−22-2-222000022−2222−22−22−224i−4i00000000000000−22−22000000−2i22i200−2i2i0000i2i2−i2−i20000000000000000000000000
χ874-4-444-200422-4-2-422−2222−22-2-222000022−2222−22−22−22−4i4i00000000000000−22−220000002i2−2i2002i−2i0000−i2−i2i2i20000000000000000000000000
χ884-4-444-200422-4-2-4−2222−2222-2-2220000−2222−22222−22−24i−4i000000000000002−22−20000002i2−2i200−2i2i0000−i2−i2i2i20000000000000000000000000
χ894-4-444-200422-4-2-4−2222−2222-2-2220000−2222−22222−22−2−4i4i000000000000002−22−2000000−2i22i2002i−2i0000i2i2−i2−i20000000000000000000000000
χ904-4-44-2400-2-4-424222−2222−22-2-2220000−22−2222−2222−22004-4-22-2200000000−22−220000000022−220000000000−22−22000000000000000000000
χ914-4-44-2400-2-4-424222−2222−22-2-2220000−22−2222−2222−2200-442-22-200000000−22−2200000000−222200000000002−22−2000000000000000000000
χ924-4-44-2400-2-4-4242−2222−2222-2-22200002−22−2−2222−2222004-4-22-22000000002−22−200000000−222200000000002−22−2000000000000000000000
χ934-4-44-2400-2-4-4242−2222−2222-2-22200002−22−2−2222−222200-442-22-2000000002−22−20000000022−220000000000−22−22000000000000000000000
χ948888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-84-44-44400002-2-22-4-4440000000000000000000000-220000000000000000000000000000000000000000000000000
χ968-88-8-4-40044-444-4−4i24i24i2−4i22-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−i2i2i2−i2000000000000000000000000000000000000000000000
χ978-88-8-4-40044-444-44i2−4i2−4i24i22-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000i2−i2−i2i2000000000000000000000000000000000000000000000
χ988-8-88-4-400-4444-4442−4242−4222-2-20000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000000
χ998-8-88-4-400-4444-44−4242−424222-2-2000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000000

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