Finite Group Databasebeta

← Group #11870669

Character table — Group #11870669

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424444412121212412121212121212122424242424242244488881212121224242424121212121244246666121212242424488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-111-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-111111-1-1-1-111-1-1-1-111111-1-1-11-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-111-1-1-1-11-1-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-111-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-111-1-1-1111-1-11-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-111111-1-11111-1-111-1-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-2000000-2-22200000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000002000000-2-2-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20000002222000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200000022-2-20000000002200000020000-2000000
χ2122222-122-1-122-122222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-1220000022-1-100-1-1-1-12-1-1-1-10020-1-1-1-1000000000000
χ2222222-122-1-122-122222-122-1-1-1-2-22-1-1211112200-1-1-1-1-222-1-111-1-1-2-211112200000-2-2-1-1001111-2-1-11100-20-1-111000000000000
χ2322222-122-1-122-122222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-20000022-1-100-1-1-1-1-2111100-201111000000000000
χ2422222-122-1-122-122222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-12-2-211-1-1-1-1-2-21111-2-200000-2-2-1-1001111211-1-1002011-1-1000000000000
χ2522222-122-1-122-12-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-1-2-200000-2-2110011112-1-1-1-100-201111000000000000
χ2622222-122-1-122-12-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-222-1-111-1-1-2-21111-2-200000221100-1-1-1-1-2-1-111002011-1-1000000000000
χ2722222-122-1-122-12-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-12200000-2-211001111-211110020-1-1-1-1000000000000
χ2822222-122-1-122-12-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-20011112-2-211-1-1-1-1-2-211112200000221100-1-1-1-1211-1-100-20-1-111000000000000
χ292222-122222-1-12-10000-122-1-1-122-122-12222002200002-1-12222-1-1-1-1-1-1-1-100222220000-1-10000-1-1-1-1-100020000-1-1-1-1-100000-10
χ302222-122222-1-12-10000-122-1-1-122-122-1222200-2-200002-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-20000110000-1-1-1-1-1000-20000111110000010
χ312222-122222-1-12-10000-122-1-1-1-2-2-122-1-2-2-2-200220000-2-1-122-2-2-1-111111100222-2-20000-1-100001-1-111000-20000-1-1-1110000010
χ322222-122222-1-12-10000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-2-1-122-2-2-1-111111100-2-2-22200001100001-1-11100020000111-1-100000-10
χ332222-122222-1-12-10000-1-2-2-1-1-122-122-1222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1002-2-2220000-1-1000011111000-20000-111-1-10000010
χ342222-122222-1-12-10000-1-2-2-1-1-122-122-1222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-100-222-2-2000011000011111000200001-1-11100000-10
χ352222-122222-1-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-200220000211-2-222-1-1111111002-2-2-2-20000-1-10000-111-1-100020000-1111100000-10
χ362222-122222-1-12-10000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-20000211-2-222-1-111111100-222220000110000-111-1-1000-200001-1-1-1-10000010
χ3722-2-22200-2-22-22-222-2-2200-2-222−2000022−2−2002i−2i22-2-20000000002−222−2−200000−i2i22−2002i−2i22−2−2000002i−2i000000000−i2i2000−i2i200
χ3822-2-22200-2-22-22-222-2-2200-2-222−2000022−2−200−2i2i22-2-20000000002−222−2−200000i2−i22−200−2i2i22−2−200000−2i2i000000000i2−i2000i2−i200
χ3922-2-22200-2-22-22-222-2-2200-2-22−220000−2−222002i−2i22-2-2000000000−22−2−22200000i2−i2−22002i−2i−2−222000002i−2i000000000i2−i2000i2−i200
χ4022-2-22200-2-22-22-222-2-2200-2-22−220000−2−22200−2i2i22-2-2000000000−22−2−22200000−i2i2−2200−2i2i−2−22200000−2i2i000000000−i2i2000−i2i200
χ4122-2-22200-2-22-22-2-2-222200-2-222−2000022−2−2002i−2i-2-2220000000002−222−2−200000−i2i2−22002i−2i−2−22200000−2i2i000000000−i2i2000i2−i200
χ4222-2-22200-2-22-22-2-2-222200-2-222−2000022−2−200−2i2i-2-2220000000002−222−2−200000i2−i2−2200−2i2i−2−222000002i−2i000000000i2−i2000−i2i200
χ4322-2-22200-2-22-22-2-2-222200-2-22−220000−2−222002i−2i-2-222000000000−22−2−22200000i2−i22−2002i−2i22−2−200000−2i2i000000000i2−i2000−i2i200
χ4422-2-22200-2-22-22-2-2-222200-2-22−220000−2−22200−2i2i-2-222000000000−22−2−22200000−i2i22−200−2i2i22−2−2000002i−2i000000000−i2i2000i2−i200
χ452-2-22222-22-2-22-2-22i−2i2i−2i22i−2i-22-200-22-2200002i−2i002i−2i2i−2i02i−2i2i−2i00-220000002-200000002i−2i00000002i−2i0000002-200000000000000
χ462-2-22222-22-2-22-2-22i−2i2i−2i2−2i2i-22-200-22-2200002i−2i002i−2i2i−2i0−2i2i−2i2i00-22000000-2200000002i−2i0000000−2i2i000000-2200000000000000
χ472-2-22222-22-2-22-2-2−2i2i−2i2i22i−2i-22-200-22-220000−2i2i00−2i2i−2i2i02i−2i2i−2i00-22000000-220000000−2i2i00000002i−2i000000-2200000000000000
χ482-2-22222-22-2-22-2-2−2i2i−2i2i2−2i2i-22-200-22-220000−2i2i00−2i2i−2i2i0−2i2i−2i2i00-220000002-20000000−2i2i0000000−2i2i0000002-200000000000000
χ492-2-2222-222-2-22-2-22i−2i2i−2i200-22-2002-22-20000−2i2i002i−2i2i−2i00000002-20000000002-20000−2i2i000000000000000000002-20002i−2i0000
χ502-2-2222-222-2-22-2-22i−2i2i−2i200-22-2002-22-20000−2i2i002i−2i2i−2i00000002-2000000000-220000−2i2i00000000000000000000-22000−2i2i0000
χ512-2-2222-222-2-22-2-2−2i2i−2i2i200-22-2002-22-200002i−2i00−2i2i−2i2i00000002-20000000002-200002i−2i000000000000000000002-2000−2i2i0000
χ522-2-2222-222-2-22-2-2−2i2i−2i2i200-22-2002-22-200002i−2i00−2i2i−2i2i00000002-2000000000-2200002i−2i00000000000000000000-220002i−2i0000
χ532-2-222-12-2-11-221-22i−2i2i−2i-12i−2i1-1100-2-112−i3i3−i3i32i−2i00−ii−ii02i−2i−ii3−31-100−i3i3−i3i32-20000000−ii003−33−30−ii3−30000-11−i3i3000000000000
χ542-2-222-12-2-11-221-22i−2i2i−2i-12i−2i1-1100-2-112i3−i3i3−i32i−2i00−ii−ii02i−2i−ii−331-100i3−i3i3−i32-20000000−ii00−33−330−ii−330000-11i3−i3000000000000
χ552-2-222-12-2-11-221-22i−2i2i−2i-1−2i2i1-1100-2-112−i3i3−i3i32i−2i00−ii−ii0−2i2ii−i−331-100−i3i3−i3i3-220000000−ii003−33−30i−i−3300001-1i3−i3000000000000
χ562-2-222-12-2-11-221-22i−2i2i−2i-1−2i2i1-1100-2-112i3−i3i3−i32i−2i00−ii−ii0−2i2ii−i3−31-100i3−i3i3−i3-220000000−ii00−33−330i−i3−300001-1−i3i3000000000000
χ572-2-222-12-2-11-221-2−2i2i−2i2i-12i−2i1-1100-2-112−i3i3−i3i3−2i2i00i−ii−i02i−2i−ii3−31-100−i3i3−i3i3-220000000i−i00−33−330−ii3−300001-1i3−i3000000000000
χ582-2-222-12-2-11-221-2−2i2i−2i2i-12i−2i1-1100-2-112i3−i3i3−i3−2i2i00i−ii−i02i−2i−ii−331-100i3−i3i3−i3-220000000i−i003−33−30−ii−3300001-1−i3i3000000000000
χ592-2-222-12-2-11-221-2−2i2i−2i2i-1−2i2i1-1100-2-112−i3i3−i3i3−2i2i00i−ii−i0−2i2ii−i−331-100−i3i3−i3i32-20000000i−i00−33−330i−i−330000-11−i3i3000000000000
χ602-2-222-12-2-11-221-2−2i2i−2i2i-1−2i2i1-1100-2-112i3−i3i3−i3−2i2i00i−ii−i0−2i2ii−i3−31-100i3−i3i3−i32-20000000i−i003−33−30i−i3−30000-11i3−i3000000000000
χ6144444-2-4-4-2-244-244444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-4-2-244-24-4-4-4-4-200-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-444-2-24-20000-200-2-2-2002-4-4200000044000000000002200000000-400000000-2-200000000000000000200000000000
χ644444-24-4-444-2-24-20000-200-2-2-2002-4-42000000-4-40000000000022000000004000000002200000000000000000-200000000000
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
χ6944-4-44-200224-4-2-444-4-4-20022-222−220000−2−2220000-2-22200000000022−22−2−222000000022−220000−2−2220000000000000000000000000
χ7044-4-44-200224-4-2-444-4-4-20022-2−2222000022−2−20000-2-222000000000−222222−2−20000000−2222000022−2−20000000000000000000000000
χ7144-4-44-200224-4-2-4-4-444-20022-222−220000−2−222000022-2-200000000022−22−2−2220000000−2222000022−2−20000000000000000000000000
χ7244-4-44-200224-4-2-4-4-444-20022-2−2222000022−2−2000022-2-2000000000−222222−2−2000000022−220000−2−2220000000000000000000000000
χ7344-4-4-2400-4-4-22420000-20022-222−2200002222−22−22004i−4i0000000000000−22−2−22200000−2i22i20000−2i2i00000000000000000000i2−i20000000
χ7444-4-4-2400-4-4-22420000-20022-222−2200002222−22−2200−4i4i0000000000000−22−2−222000002i2−2i200002i−2i00000000000000000000−i2i20000000
χ7544-4-4-2400-4-4-22420000-20022-2−22220000−22−222222004i−4i00000000000002−222−2−2000002i2−2i20000−2i2i00000000000000000000−i2i20000000
χ7644-4-4-2400-4-4-22420000-20022-2−22220000−22−22222200−4i4i00000000000002−222−2−200000−2i22i200002i−2i00000000000000000000i2−i20000000
χ774-44-44400-44-4-4-444i−4i−4i4i4004-4-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-44400-44-4-4-44−4i4i4i−4i4004-4-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-44-2002-2-4-4244i−4i−4i4i-200-222000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ804-44-44-2002-2-4-4244i−4i−4i4i-200-222000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ814-44-44-2002-2-4-424−4i4i4i−4i-200-222000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ824-44-44-2002-2-4-424−4i4i4i−4i-200-222000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ834-4-444-2-44-22-442-44i−4i4i−4i-2002-220042-2-40000−4i4i00−2i2i−2i2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ844-4-444-2-44-22-442-4−4i4i−4i4i-2002-220042-2-400004i−4i002i−2i2i−2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ854-4-44-244-44-42-2-420000-24i−4i2-220024-4-20000000000000−2i2i4i−4i002-2000000000000000000000000−2i2i0000000000000000000000
χ864-4-44-244-44-42-2-420000-2−4i4i2-220024-4-200000000000002i−2i−4i4i002-20000000000000000000000002i−2i0000000000000000000000
χ874-4-44-24-444-42-2-420000-2002-2200-2-4420000000000000000000-220000000004-400000000000000000000000000-22000000000
χ884-4-44-24-444-42-2-420000-2002-2200-2-4420000000000000000000-22000000000-44000000000000000000000000002-2000000000
χ894-4-44-2-24-4-222-222000014i−4i-11-1002-22-2−2i32i3−2i32i3000000000−2i2i−2i2i23−23-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ904-4-44-2-24-4-222-222000014i−4i-11-1002-22-22i3−2i32i3−2i3000000000−2i2i−2i2i−2323-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ914-4-44-2-24-4-222-22200001−4i4i-11-1002-22-2−2i32i3−2i32i30000000002i−2i2i−2i−2323-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ924-4-44-2-24-4-222-22200001−4i4i-11-1002-22-22i3−2i32i3−2i30000000002i−2i2i−2i23−23-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
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
χ968-88-8-4800-8844-8-40000-400-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4004-4444-400002002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ988-88-8-4-4004-4444-400002002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ998-8-88-4-4-88-444-4440000200-22-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000

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