Finite Group Databasebeta

← Group #11870671

Character table — Group #11870671

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242444441212121241212121212121212242424242424222448888121212122424242412121212124424666661212242444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111111111111111111111-1-1-111-1-111-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1
χ61111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-11-1-1-1-1111111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111-1-1111-1-111-1-111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111111-111-1-1-1-11-11-1-11111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-111-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111111-1-111-1-1-11111-1-1-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-111111-1-11111-1-1-111-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-2000022-2-222220000000-2-200000000-2000000-2-2220000000002200-200000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000002000000-2-2-2-2000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20000002222000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200000022-2-20000000002200200000000-2000000
χ2122222-122-1-122-122222-122-1-1-122-12-12-1-1-1-10022-1-1-1-1222-1-1-1-1-1-122-1-1-1-1220002200-1-100-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ2222222-122-1-122-122222-122-1-1-1-2-2-12-1211110022-1-1-1-1-222-1-111-1-1-2-2111122000-2-200-1-1001111-2-1-11100-200-1-11100000000000
χ2322222-122-1-122-122222-1-2-2-1-1-122-12-12-1-1-1-10022-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-20002200-1-100-1-1-1-1-2111100-200111100000000000
χ2422222-122-1-122-122222-1-2-2-1-1-1-2-2-12-1211110022-1-1-1-12-2-211-1-1-1-1-2-21111-2-2000-2-200-1-1001111211-1-10020011-1-100000000000
χ2522222-122-1-122-12-2-2-2-2-122-1-1-122-12-12-1-1-1-100-2-21111222-1-1-1-1-1-122-1-1-1-1-2-2000-2-200110011112-1-1-1-100-200111100000000000
χ2622222-122-1-122-12-2-2-2-2-122-1-1-1-2-2-12-12111100-2-21111-222-1-111-1-1-2-21111-2-200022001100-1-1-1-1-2-1-1110020011-1-100000000000
χ2722222-122-1-122-12-2-2-2-2-1-2-2-1-1-122-12-12-1-1-1-100-2-21111-2-2-21111-1-122-1-1-1-122000-2-20011001111-2111100200-1-1-1-100000000000
χ2822222-122-1-122-12-2-2-2-2-1-2-2-1-1-1-2-2-12-12111100-2-211112-2-211-1-1-1-1-2-211112200022001100-1-1-1-1211-1-100-200-1-11100000000000
χ292222-122222-1-12-10000-122-1-1-1222-12-12222220000002-1-12222-1-1-1-1-1-1-1-100222002200-1-10000-1-1-1-1-10002-10000-1-1-1-100000-10
χ302222-122222-1-12-10000-122-1-1-1222-12-12222-2-20000002-1-12222-1-1-1-1-1-1-1-100-2-2-200-2-200110000-1-1-1-1-1000-21000011110000010
χ312222-122222-1-12-10000-122-1-1-1-2-22-12-1-2-2-2-222000000-2-1-122-2-2-1-11111110022200-2-200-1-100001-1-111000-2-10000-1-1110000010
χ322222-122222-1-12-10000-122-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2-1-122-2-2-1-111111100-2-2-20022001100001-1-11100021000011-1-100000-10
χ332222-122222-1-12-10000-1-2-2-1-1-1222-12-1222222000000-211-2-2-2-2-1-1-1-1-1-1-1-1002-2-2002200-1-1000011111000-2-1000011-1-10000010
χ342222-122222-1-12-10000-1-2-2-1-1-1222-12-12222-2-2000000-211-2-2-2-2-1-1-1-1-1-1-1-100-22200-2-20011000011111000210000-1-11100000-10
χ352222-122222-1-12-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-222000000211-2-222-1-1111111002-2-200-2-200-1-10000-111-1-10002-10000111100000-10
χ362222-122222-1-12-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-2-2-2000000211-2-222-1-111111100-222002200110000-111-1-1000-210000-1-1-1-10000010
χ3722-2-22200-2-22-22-222-2-2200-2-222−2000022−2−22i−2i0022-2-20000000002−222−2−2000002−2−i2i2002i−2i22−2−2000002i−2i000000000−i2i2000−i2i200
χ3822-2-22200-2-22-22-222-2-2200-2-222−2000022−2−2−2i2i0022-2-20000000002−222−2−2000002−2i2−i200−2i2i22−2−200000−2i2i000000000i2−i2000i2−i200
χ3922-2-22200-2-22-22-222-2-2200-2-22−220000−2−2222i−2i0022-2-2000000000−22−2−22200000−22i2−i2002i−2i−2−222000002i−2i000000000i2−i2000i2−i200
χ4022-2-22200-2-22-22-222-2-2200-2-22−220000−2−222−2i2i0022-2-2000000000−22−2−22200000−22−i2i200−2i2i−2−22200000−2i2i000000000−i2i2000−i2i200
χ4122-2-22200-2-22-22-2-2-222200-2-222−2000022−2−22i−2i00-2-2220000000002−222−2−200000−22−i2i2002i−2i−2−22200000−2i2i000000000−i2i2000i2−i200
χ4222-2-22200-2-22-22-2-2-222200-2-222−2000022−2−2−2i2i00-2-2220000000002−222−2−200000−22i2−i200−2i2i−2−222000002i−2i000000000i2−i2000−i2i200
χ4322-2-22200-2-22-22-2-2-222200-2-22−220000−2−2222i−2i00-2-222000000000−22−2−222000002−2i2−i2002i−2i22−2−200000−2i2i000000000i2−i2000−i2i200
χ4422-2-22200-2-22-22-2-2-222200-2-22−220000−2−222−2i2i00-2-222000000000−22−2−222000002−2−i2i200−2i2i22−2−2000002i−2i000000000−i2i2000i2−i200
χ452-22-2222-22-2-2-2-222i−2i2i−2i200-22-200-2-2220000002i−2i2i−2i2i−2i00000002-20000000002i−2i00002i−2i000000000000000000002i−2i0002-20000
χ462-22-2222-22-2-2-2-222i−2i2i−2i200-22-200-2-2220000002i−2i2i−2i2i−2i00000002-2000000000−2i2i00002i−2i00000000000000000000−2i2i000-220000
χ472-22-2222-22-2-2-2-22−2i2i−2i2i200-22-200-2-222000000−2i2i−2i2i−2i2i00000002-20000000002i−2i0000−2i2i000000000000000000002i−2i000-220000
χ482-22-2222-22-2-2-2-22−2i2i−2i2i200-22-200-2-222000000−2i2i−2i2i−2i2i00000002-2000000000−2i2i0000−2i2i00000000000000000000−2i2i0002-20000
χ492-22-222-222-2-2-2-222i−2i2i−2i22i−2i-22-20022-2-2000000−2i2i2i−2i2i−2i02i−2i2i−2i00-220000002-20000000−2i2i00000002i−2i00000002-20000000000000
χ502-22-222-222-2-2-2-222i−2i2i−2i2−2i2i-22-20022-2-2000000−2i2i2i−2i2i−2i0−2i2i−2i2i00-22000000-220000000−2i2i0000000−2i2i0000000-220000000000000
χ512-22-222-222-2-2-2-22−2i2i−2i2i22i−2i-22-20022-2-20000002i−2i−2i2i−2i2i02i−2i2i−2i00-22000000-2200000002i−2i00000002i−2i0000000-220000000000000
χ522-22-222-222-2-2-2-22−2i2i−2i2i2−2i2i-22-20022-2-20000002i−2i−2i2i−2i2i0−2i2i−2i2i00-220000002-200000002i−2i0000000−2i2i00000002-20000000000000
χ532-22-22-1-22-11-2-2122i−2i2i−2i-12i−2i1-1100-121-2−i3i3−i3i300−2i2i−ii−ii02i−2i−ii3−31-100−i3i3−i3i32-20000000i−i003−33−30−ii3−300000-11−i3i300000000000
χ542-22-22-1-22-11-2-2122i−2i2i−2i-12i−2i1-1100-121-2i3−i3i3−i300−2i2i−ii−ii02i−2i−ii−331-100i3−i3i3−i32-20000000i−i00−33−330−ii−3300000-11i3−i300000000000
χ552-22-22-1-22-11-2-2122i−2i2i−2i-1−2i2i1-1100-121-2−i3i3−i3i300−2i2i−ii−ii0−2i2ii−i−331-100−i3i3−i3i3-220000000i−i003−33−30i−i−33000001-1i3−i300000000000
χ562-22-22-1-22-11-2-2122i−2i2i−2i-1−2i2i1-1100-121-2i3−i3i3−i300−2i2i−ii−ii0−2i2ii−i3−31-100i3−i3i3−i3-220000000i−i00−33−330i−i3−3000001-1−i3i300000000000
χ572-22-22-1-22-11-2-212−2i2i−2i2i-12i−2i1-1100-121-2−i3i3−i3i3002i−2ii−ii−i02i−2i−ii3−31-100−i3i3−i3i3-220000000−ii00−33−330−ii3−3000001-1i3−i300000000000
χ582-22-22-1-22-11-2-212−2i2i−2i2i-12i−2i1-1100-121-2i3−i3i3−i3002i−2ii−ii−i02i−2i−ii−331-100i3−i3i3−i3-220000000−ii003−33−30−ii−33000001-1−i3i300000000000
χ592-22-22-1-22-11-2-212−2i2i−2i2i-1−2i2i1-1100-121-2−i3i3−i3i3002i−2ii−ii−i0−2i2ii−i−331-100−i3i3−i3i32-20000000−ii00−33−330i−i−3300000-11−i3i300000000000
χ602-22-22-1-22-11-2-212−2i2i−2i2i-1−2i2i1-1100-121-2i3−i3i3−i3002i−2ii−ii−i0−2i2ii−i3−31-100i3−i3i3−i32-20000000−ii003−33−30i−i3−300000-11i3−i300000000000
χ6144444-2-4-4-2-244-244444-200-2-2-2002-42-4000000-4-4-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-4-2-244-24-4-4-4-4-200-2-2-2002-42-4000000442222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-444-2-24-20000-200-2-2-200-42-4200004400000000000002200000000-400000000-2-200000000000002000000000000000
χ644444-24-4-444-2-24-20000-200-2-2-200-42-420000-4-400000000000002200000000400000000220000000000000-2000000000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-200224-4-2-444-4-4-20022-222−220000−2−2220000-2-22200000000022−22−2−2220000022−22000000−2−2220000000000000000000000000
χ7044-4-44-200224-4-2-444-4-4-20022-2−2222000022−2−20000-2-222000000000−222222−2−200000−222200000022−2−20000000000000000000000000
χ7144-4-44-200224-4-2-4-4-444-20022-222−220000−2−222000022-2-200000000022−22−2−22200000−222200000022−2−20000000000000000000000000
χ7244-4-44-200224-4-2-4-4-444-20022-2−2222000022−2−2000022-2-2000000000−222222−2−20000022−22000000−2−2220000000000000000000000000
χ7344-4-4-2400-4-4-22420000-20022-222−2200002222−22−224i−4i000000000000000−22−2−2220000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ7444-4-4-2400-4-4-22420000-20022-222−2200002222−22−22−4i4i000000000000000−22−2−22200000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ7544-4-4-2400-4-4-22420000-20022-2−22220000−22−2222224i−4i0000000000000002−222−2−200000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ7644-4-4-2400-4-4-22420000-20022-2−22220000−22−222222−4i4i0000000000000002−222−2−20000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ774-44-44-24-4-22-4-4244i−4i4i−4i-2002-22002-4-240000004i−4i−2i2i−2i2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ784-44-44-24-4-22-4-424−4i4i−4i4i-2002-22002-4-24000000−4i4i2i−2i2i−2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ794-44-4-244-44-422-4-20000-2002-2200-424-20000000000000000000-220000000004i−4i00000000000000000000000000−2i2i000000000
χ804-44-4-244-44-422-4-20000-2002-2200-424-20000000000000000000-22000000000−4i4i000000000000000000000000002i−2i000000000
χ814-44-4-24-444-422-4-20000-24i−4i2-22004-2-420000000000000−2i2i4i−4i002-2000000000000000000000000−2i2i0000000000000000000000
χ824-44-4-24-444-422-4-20000-2−4i4i2-22004-2-4200000000000002i−2i−4i4i002-20000000000000000000000002i−2i0000000000000000000000
χ834-44-4-2-2-44-22222-2000014i−4i-11-100-2-222−2i32i3−2i32i3000000000−2i2i−2i2i23−23-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ844-44-4-2-2-44-22222-2000014i−4i-11-100-2-2222i3−2i32i3−2i3000000000−2i2i−2i2i−2323-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ854-44-4-2-2-44-22222-200001−4i4i-11-100-2-222−2i32i3−2i32i30000000002i−2i2i−2i−2323-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ864-44-4-2-2-44-22222-200001−4i4i-11-100-2-2222i3−2i32i3−2i30000000002i−2i2i−2i23−23-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
χ874-4-444400-44-44-4-44i−4i−4i4i4004-4-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-444400-44-44-4-4−4i4i4i−4i4004-4-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-2002-2-442-44i−4i−4i4i-200-222000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ904-4-444-2002-2-442-44i−4i−4i4i-200-222000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ914-4-444-2002-2-442-4−4i4i4i−4i-200-222000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ924-4-444-2002-2-442-4−4i4i4i−4i-200-222000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-40044-44-440000200-2-2242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-40044-44-440000200-2-22−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-8-4-48-8-44444-40000200-22-20044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ978-8-88-4800-884-4-840000-400-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-44-44400002002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ998-8-88-4-4004-44-44400002002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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