Finite Group Databasebeta

← Group #11870673

Character table — Group #11870673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666634444466612121212121212121212121212121212121212121212121212121212121212121212444488888888444424442424242424242424222446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111111-11-1
χ9111111-1-1111111111-111-1-1111-1-11-1-11-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-111-1-11-1-11
χ10111111-1-1111111111-111-1-1111-1-11-1-11-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-111-1-1-111-1
χ11111111-1-1111111111-111-1-1111-1-11-1-11-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-1111-1-11111-1-1
χ12111111-1-1111111111-111-1-1111-1-11-1-11-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-11-1-111-1-111
χ13111111-1-1111111111-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-111-111-1
χ14111111-1-1111111111-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-1-1111-11-1-1-111-1-111-1-1-1111-1-11
χ15111111-1-1111111111-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-1-111
χ16111111-1-1111111111-1-1-111111-1-11-1-11-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-111-1-1
χ1722222222-2-22222222-2000022222-222-22222-2-2-20000-20000-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-2000022222-222-22222-2-2-20000-20000-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22000020000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ2122222-12222-12-122-1-122222-1-1-1-1-1222-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-10-10
χ2222222-12222-12-122-1-122222-1-1-1-1-1222-1-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001010
χ2322222-12222-12-122-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-111-2-22-2-211-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000001010
χ2422222-12222-12-122-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-111-2-22-2-211-1-1-1-1111111110000-2-2-2-20000000022001111000000000-10-10
χ2522222-1-2-222-12-122-1-1-222-2-2-1-1-1112-2-2-111112-11-1-1-2-2-22211-1-111-1-1-1-11111000022-2-2000000002-200-1-111000000000-1010
χ2622222-1-2-222-12-122-1-1-222-2-2-1-1-1112-2-2-111112-11-1-1-2-2-22211-1-111-1-1-1-111110000-2-22200000000-220011-1-100000000010-10
χ2722222-1-2-222-12-122-1-1-2-2-222-1-1-1112-2-2-111112-111122-2-2-2-1-1-1-1111111-1-1-1-1000022-2-200000000-2200-1-11100000000010-10
χ2822222-1-2-222-12-122-1-1-2-2-222-1-1-1112-2-2-111112-111122-2-2-2-1-1-1-1111111-1-1-1-10000-2-222000000002-20011-1-1000000000-1010
χ292222-1222222-12-1-12-122222-1-1-122-1-1-12-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-1000000-10-1
χ302222-1222222-12-1-12-122222-1-1-122-1-1-12-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000101
χ312222-1222222-12-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-2-211-111-2-2-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000000101
χ322222-1222222-12-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-2-211-111-2-2-1-1-1-11111111100000000-2-2-2-20000002200001111000000-10-1
χ332222-12-2-2222-12-1-12-1-222-2-2-1-1-1-2-2-11121111-12-222111-1-1-2-2-1-111-1-1-1-111110000000022-2-20000002-20000-1-11100000010-1
χ342222-12-2-2222-12-1-12-1-222-2-2-1-1-1-2-2-11121111-12-222111-1-1-2-2-1-111-1-1-1-1111100000000-2-222000000-22000011-1-1000000-101
χ352222-12-2-2222-12-1-12-1-2-2-222-1-1-1-2-2-11121111-12-2-2-2-1-111122-1-1111111-1-1-1-10000000022-2-2000000-220000-1-111000000-101
χ362222-12-2-2222-12-1-12-1-2-2-222-1-1-1-2-2-11121111-12-2-2-2-1-111122-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-100000010-1
χ3722-2-222002-2-22-2-2-2220002-2-22-200200-20000-220002-20002-22-200000022-2-22i2i−2i−2i00000000002i−2i0000000000000002i−2i0000
χ3822-2-222002-2-22-2-2-2220002-2-22-200200-20000-220002-20002-22-200000022-2-2−2i−2i2i2i0000000000−2i2i000000000000000−2i2i0000
χ3922-2-222002-2-22-2-2-222000-22-22-200200-20000-22000-22000-222-2000000-2-2222i2i−2i−2i00000000002i−2i000000000000000−2i2i0000
χ4022-2-222002-2-22-2-2-222000-22-22-200200-20000-22000-22000-222-2000000-2-222−2i−2i2i2i0000000000−2i2i0000000000000002i−2i0000
χ4122-2-22200-22-22-2-2-22202i−2i00-22-200-200200002-202i−2i0002i−2i00-22002i2i−2i−2i00002i2i−2i−2i0000000000−2i2i00000000000002-2000000
χ4222-2-22200-22-22-2-2-22202i−2i00-22-200-200200002-202i−2i0002i−2i00-22002i2i−2i−2i0000−2i−2i2i2i00000000002i−2i0000000000000-22000000
χ4322-2-22200-22-22-2-2-2220−2i2i00-22-200-200200002-20−2i2i000−2i2i00-2200−2i−2i2i2i00002i2i−2i−2i0000000000−2i2i0000000000000-22000000
χ4422-2-22200-22-22-2-2-2220−2i2i00-22-200-200200002-20−2i2i000−2i2i00-2200−2i−2i2i2i0000−2i−2i2i2i00000000002i−2i00000000000002-2000000
χ452-22-2222i−2i00-2-22-22-2200000-2-222i−2i02i−2i02i2i−2i−2i0000000000000000000000002-22-22−2i2−i22−2i2−i22i−2i0000002−2i2−i22−2i2−i2000000000
χ462-22-2222i−2i00-2-22-22-2200000-2-222i−2i02i−2i02i2i−2i−2i0000000000000000000000002-22-2−22−i2i2−22−i2i22i−2i000000−22−i2i2−22−i2i2000000000
χ472-22-2222i−2i00-2-22-22-2200000-2-222i−2i02i−2i02i2i−2i−2i000000000000000000000000-22-222−2i2−i2−22−i2i2−2i2i0000002−2i2−i2−22−i2i2000000000
χ482-22-2222i−2i00-2-22-22-2200000-2-222i−2i02i−2i02i2i−2i−2i000000000000000000000000-22-22−22−i2i22−2i2−i2−2i2i000000−22−i2i22−2i2−i2000000000
χ492-22-222−2i2i00-2-22-22-2200000-2-22−2i2i0−2i2i0−2i−2i2i2i0000000000000000000000002-22-22−2−i2i22−2−i2i2−2i2i0000002−2−i2i22−2−i2i2000000000
χ502-22-222−2i2i00-2-22-22-2200000-2-22−2i2i0−2i2i0−2i−2i2i2i0000000000000000000000002-22-2−22i2−i2−22i2−i2−2i2i000000−22i2−i2−22i2−i2000000000
χ512-22-222−2i2i00-2-22-22-2200000-2-22−2i2i0−2i2i0−2i−2i2i2i000000000000000000000000-22-222−2−i2i2−22i2−i22i−2i0000002−2−i2i2−22i2−i2000000000
χ522-22-222−2i2i00-2-22-22-2200000-2-22−2i2i0−2i2i0−2i−2i2i2i000000000000000000000000-22-22−22i2−i22−2−i2i22i−2i000000−22i2−i22−2−i2i2000000000
χ5344444-244-4-4-24-244-2-2-40000-2-2-2-2-2-4442-2-2-2-2-4220000-400002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-24-244-2-240000-2-2-222-4-4-422222-42-200004000022-2-2000000000000000000000000000000000000000000000
χ554444-2444-4-44-24-2-24-2-40000-2-2-2442-2-2-4-2-2-2-22-4-40000200002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-44-24-2-24-240000-2-2-2-4-4222-422222-440000-2000022-2-2000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-22222-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-40000111-2-22-2-221111222000020000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-40000111-2-22-2-221111222000020000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-444-4-411122-222-2-1-1-1-1-2-22-2-2222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4-4-44411122-222-2-1-1-1-1-2-2222-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-20000-20000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-20000-20000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-2004-4242-4-4-2-20004-42-220040020000-4-20004-4000-22-22000000-2-2220000000000000000000000000000000000000
χ6644-4-44-2004-4242-4-4-2-2000-442-220040020000-4-2000-440002-2-2200000022-2-20000000000000000000000000000000000000
χ6744-4-44-200-44242-4-4-2-204i−4i002-2200-400-20000420−2i2i0004i−4i002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ6844-4-44-200-44242-4-4-2-20−4i4i002-2200-400-200004202i−2i000−4i4i002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ6944-4-4-24004-4-4-2-4224-20004-42-2200-200-4000024000-220004-4-22000000-2-2220000000000000000000000000000000000000
χ7044-4-4-24004-4-4-2-4224-2000-442-2200-200-40000240002-2000-44-2200000022-2-20000000000000000000000000000000000000
χ7144-4-4-2400-44-4-2-4224-204i−4i002-220020040000-2-404i−4i000−2i2i002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ7244-4-4-2400-44-4-2-4224-20−4i4i002-220020040000-2-40−4i4i0002i−2i002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ7344-4-4-2-2004-42-2222-210004-4-11-100-20023i−3i3i−3i2-2000-22000-221-13i−3i3i−3i−3i3i11-1-10000000000000000000000000000000000000
χ7444-4-4-2-2004-42-2222-210004-4-11-100-2002−3i3i−3i3i2-2000-22000-221-1−3i3i−3i3i3i−3i11-1-10000000000000000000000000000000000000
χ7544-4-4-2-2004-42-2222-21000-44-11-100-20023i−3i3i−3i2-20002-20002-21-13i−3i−3i3i3i−3i-1-1110000000000000000000000000000000000000
χ7644-4-4-2-2004-42-2222-21000-44-11-100-2002−3i3i−3i3i2-20002-20002-21-1−3i3i3i−3i−3i3i-1-1110000000000000000000000000000000000000
χ7744-4-4-2-200-442-2222-2104i−4i00-11-100200-23i−3i3i−3i-220−2i2i000−2i2i00-11−3i3iii−i−i3-3-330000000000000000000000000000000000000
χ7844-4-4-2-200-442-2222-2104i−4i00-11-100200-2−3i3i−3i3i-220−2i2i000−2i2i00-113i−3iii−i−i-333-30000000000000000000000000000000000000
χ7944-4-4-2-200-442-2222-210−4i4i00-11-100200-23i−3i3i−3i-2202i−2i0002i−2i00-11−3i3i−i−iii-333-30000000000000000000000000000000000000
χ8044-4-4-2-200-442-2222-210−4i4i00-11-100200-2−3i3i−3i3i-2202i−2i0002i−2i00-113i−3i−i−iii3-3-330000000000000000000000000000000000000
χ814-44-44-24i−4i002-4-2-442-20000022-2−2i2i04i−4i0−2i−2i2i2i000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ824-44-44-24i−4i002-4-2-442-20000022-2−2i2i04i−4i0−2i−2i2i2i0000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ834-44-44-2−4i4i002-4-2-442-20000022-22i−2i0−4i4i02i2i−2i−2i000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ844-44-44-2−4i4i002-4-2-442-20000022-22i−2i0−4i4i02i2i−2i−2i0000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ854-44-4-244i−4i00-4242-2-4-20000022-24i−4i0−2i2i0−2i−2i2i2i0000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ864-44-4-244i−4i00-4242-2-4-20000022-24i−4i0−2i2i0−2i−2i2i2i00000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ874-44-4-24−4i4i00-4242-2-4-20000022-2−4i4i02i−2i02i2i−2i−2i0000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ884-44-4-24−4i4i00-4242-2-4-20000022-2−4i4i02i−2i02i2i−2i−2i00000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ894-4-444400004-4-44-4-44000004-4-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-444400004-4-44-4-44000004-4-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ918-88-8-4-48i−8i0044-44-44200000-2-22−4i4i0−4i4i02i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4−8i8i0044-44-44200000-2-224i−4i04i−4i0−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000-4-848-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48000084-8-44-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000-444-4442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000-444-4442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000000000

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