Finite Group Databasebeta

← Group #11808303

Character table — Group #11808303

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122222222222224444444444446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1
χ17222222222-122-1-12-12-1222-1-1-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002200000022222200-1-1000000-1-1-1-1-1-1000000
χ18222222222-122-1-12-12-1222-1-1-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2000000-2-2-2-2-2-20011000000111111000000
χ19222222222-122-1-12-12-1222-1-1-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-11111111100000000002200000022-2-2-2-200-1-1000000-1-11111000000
χ20222222222-122-1-12-12-1222-1-1-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-1111111110000000000-2-2000000-2-22222001100000011-1-1-1-1000000
χ21222222222-122-1-12-12-1222-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111000000000022000000-2-222-2-200-1-100000011-1-111000000
χ22222222222-122-1-12-12-1222-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000000000-2-200000022-2-2220011000000-1-111-1-1000000
χ23222222222-122-1-12-12-1222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000000022000000-2-2-2-22200-1-10000001111-1-1000000
χ24222222222-122-1-12-12-1222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000000000-2-20000002222-2-20011000000-1-1-1-111000000
χ2522222222-12-1-122-12-12-1-1-1222-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002200222222000000-1-100-1-1-1-1-1-1000000000000
χ2622222222-12-1-122-12-12-1-1-1222-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-2-2-2-2-20000001100111111000000000000
χ2722222222-12-1-122-12-12-1-1-1222-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000220022-2-2-2-2000000-1-100-1-11111000000000000
χ2822222222-12-1-122-12-12-1-1-1222-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000-2-200-2-22222000000110011-1-1-1-1000000000000
χ2922222222-12-1-122-12-12-1-1-1222-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-11111000000002200-2-222-2-2000000-1-10011-1-111000000000000
χ3022222222-12-1-122-12-12-1-1-1222-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111100000000-2-20022-2-2220000001100-1-111-1-1000000000000
χ3122222222-12-1-122-12-12-1-1-1222-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-1000000002200-2-2-2-222000000-1-1001111-1-1000000000000
χ3222222222-12-1-122-12-12-1-1-1222-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100000000-2-2002222-2-20000001100-1-1-1-111000000000000
χ33222-2-2-2-22222222-2-222-2-2-2-2-2-2200000022-2-2-2-220000000000000000000000002222-2-2-2-200002i−2i00002i−2i000000002i−2i00002i−2i0000000000
χ34222-2-2-2-22222222-2-222-2-2-2-2-2-2200000022-2-2-2-220000000000000000000000002222-2-2-2-20000−2i2i0000−2i2i00000000−2i2i0000−2i2i0000000000
χ35222-2-2-2-22222222-2-222-2-2-2-2-2-2200000022-2-2-2-22000000000000000000000000-2-2-2-2222200002i−2i0000−2i2i000000002i−2i0000−2i2i0000000000
χ36222-2-2-2-22222222-2-222-2-2-2-2-2-2200000022-2-2-2-22000000000000000000000000-2-2-2-222220000−2i2i00002i−2i00000000−2i2i00002i−2i0000000000
χ3722-222-2-2-2222-22-2-2-2-2-222-222-220000002-222-2-2-200000000000000000000000022-2-222-2-2000000002i−2i00002i−2i000000002i−2i00002i−2i000000
χ3822-222-2-2-2222-22-2-2-2-2-222-222-220000002-222-2-2-200000000000000000000000022-2-222-2-200000000−2i2i0000−2i2i00000000−2i2i0000−2i2i000000
χ3922-222-2-2-2222-22-2-2-2-2-222-222-220000002-222-2-2-2000000000000000000000000-2-222-2-222000000002i−2i0000−2i2i000000002i−2i0000−2i2i000000
χ4022-222-2-2-2222-22-2-2-2-2-222-222-220000002-222-2-2-2000000000000000000000000-2-222-2-22200000000−2i2i00002i−2i00000000−2i2i00002i−2i000000
χ4122-2-2-222-2222-22-222-2-2-2-22-2-222002i−2i002-2-2-222-200002i−2i2i−2i000000002i2i−2i−2i000022-2-2-2-22200000000000000000000000000000000002i−2i00
χ4222-2-2-222-2222-22-222-2-2-2-22-2-222002i−2i002-2-2-222-200002i−2i2i−2i000000002i2i−2i−2i0000-2-22222-2-20000000000000000000000000000000000−2i2i00
χ4322-2-2-222-2222-22-222-2-2-2-22-2-22200−2i2i002-2-2-222-20000−2i2i−2i2i00000000−2i−2i2i2i000022-2-2-2-2220000000000000000000000000000000000−2i2i00
χ4422-2-2-222-2222-22-222-2-2-2-22-2-22200−2i2i002-2-2-222-20000−2i2i−2i2i00000000−2i−2i2i2i0000-2-22222-2-200000000000000000000000000000000002i−2i00
χ452-222-22-2-222-22-22-2-2-2-22-222-222000000-222-22-2-20000000000000000000000002-22-22-22-20000002i−2i00002i−2i000000002i−2i00002i−2i00000000
χ462-222-22-2-222-22-22-2-2-2-22-222-222000000-222-22-2-20000000000000000000000002-22-22-22-2000000−2i2i0000−2i2i00000000−2i2i0000−2i2i00000000
χ472-222-22-2-222-22-22-2-2-2-22-222-222000000-222-22-2-2000000000000000000000000-22-22-22-220000002i−2i0000−2i2i000000002i−2i0000−2i2i00000000
χ482-222-22-2-222-22-22-2-2-2-22-222-222000000-222-22-2-2000000000000000000000000-22-22-22-22000000−2i2i00002i−2i00000000−2i2i00002i−2i00000000
χ492-22-22-22-222-22-2222-2-2-22-2-22-2200002i−2i-22-22-22-2000000002i−2i2i−2i000000002i2i−2i−2i2-22-2-22-220000000000000000000000000000000000002i−2i
χ502-22-22-22-222-22-2222-2-2-22-2-22-2200002i−2i-22-22-22-2000000002i−2i2i−2i000000002i2i−2i−2i-22-222-22-2000000000000000000000000000000000000−2i2i
χ512-22-22-22-222-22-2222-2-2-22-2-22-220000−2i2i-22-22-22-200000000−2i2i−2i2i00000000−2i−2i2i2i2-22-2-22-22000000000000000000000000000000000000−2i2i
χ522-22-22-22-222-22-2222-2-2-22-2-22-220000−2i2i-22-22-22-200000000−2i2i−2i2i00000000−2i−2i2i2i-22-222-22-20000000000000000000000000000000000002i−2i
χ532-2-22-2-22222-2-2-2-222222-2-22-2-222-20000-2-22-2-2222-22-20000000022-2-2000000002-2-222-2-22000000000000000000000000000000002-20000
χ542-2-22-2-22222-2-2-2-222222-2-22-2-222-20000-2-22-2-2222-22-20000000022-2-200000000-222-2-222-200000000000000000000000000000000-220000
χ552-2-22-2-22222-2-2-2-222222-2-22-2-22-220000-2-22-2-222-22-2200000000-2-222000000002-2-222-2-2200000000000000000000000000000000-220000
χ562-2-22-2-22222-2-2-2-222222-2-22-2-22-220000-2-22-2-222-22-2200000000-2-22200000000-222-2-222-2000000000000000000000000000000002-20000
χ572-2-2-222-2222-2-2-2-2-2-222-222-2222000000-2-2-222-220000000000000000000000002-2-22-222-22-22-20000000000002-22-2000000000000000000
χ582-2-2-222-2222-2-2-2-2-2-222-222-2222000000-2-2-222-220000000000000000000000002-2-22-222-2-22-22000000000000-22-22000000000000000000
χ592-2-2-222-2222-2-2-2-2-2-222-222-2222000000-2-2-222-22000000000000000000000000-222-22-2-222-2-220000000000002-2-22000000000000000000
χ602-2-2-222-2222-2-2-2-2-2-222-222-2222000000-2-2-222-22000000000000000000000000-222-22-2-22-222-2000000000000-222-2000000000000000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ65444-4-4-4-444-244-2-2-424-2-4-4-4222-2000000-2-22222-20000000000000000000000000000000000000000004i−4i00000000000000−2i2i0000000000
χ66444-4-4-4-444-244-2-2-424-2-4-4-4222-2000000-2-22222-2000000000000000000000000000000000000000000−4i4i000000000000002i−2i0000000000
χ67444-4-4-4-44-24-2-2442-4-24222-4-4-4-2000000-2-22222-20000000000000000000000000000000000004i−4i00000000000000−2i2i0000000000000000
χ68444-4-4-4-44-24-2-2442-4-24222-4-4-4-2000000-2-22222-2000000000000000000000000000000000000−4i4i000000000000002i−2i0000000000000000
χ6944-444-4-4-44-24-4-22-42-4244-4-2-22-2000000-22-2-222200000000000000000000000000000000000000000000004i−4i00000000000000−2i2i000000
χ7044-444-4-4-44-24-4-22-42-4244-4-2-22-2000000-22-2-22220000000000000000000000000000000000000000000000−4i4i000000000000002i−2i000000
χ7144-444-4-4-4-24-224-42-42-4-2-2244-4-2000000-22-2-222200000000000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ7244-444-4-4-4-24-224-42-42-4-2-2244-4-2000000-22-2-22220000000000000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ7344-4-4-444-44-24-4-224-2-42-4-4422-2-2004i−4i00-2222-2-2200004i−4i−2i2i00000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ7444-4-4-444-44-24-4-224-2-42-4-4422-2-200−4i4i00-2222-2-220000−4i4i2i−2i000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ7544-4-4-444-4-24-224-4-242-422-2-4-44-2004i−4i00-2222-2-220000−2i2i4i−4i00000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ7644-4-4-444-4-24-224-4-242-422-2-4-44-200−4i4i00-2222-2-2200002i−2i−4i4i000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ7744-4-4-444-4-2-2-22-22-2-22222-222-21004i−4i001-1-1-111-10000−2i2i−2i2i00003-33-3ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ7844-4-4-444-4-2-2-22-22-2-22222-222-21004i−4i001-1-1-111-10000−2i2i−2i2i0000-33-33ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ7944-4-4-444-4-2-2-22-22-2-22222-222-2100−4i4i001-1-1-111-100002i−2i2i−2i00003-33-3−i−iii−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8044-4-4-444-4-2-2-22-22-2-22222-222-2100−4i4i001-1-1-111-100002i−2i2i−2i0000-33-33−i−iii3i−3i3i−3i0000000000000000000000000000000000000000000000
χ814-444-44-4-44-2-442-2-42-424-44-22-2-20000002-2-22-222000000000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000
χ824-444-44-4-44-2-442-2-42-424-44-22-2-20000002-2-22-22200000000000000000000000000000000000000000000−4i4i000000000000002i−2i00000000
χ834-444-44-4-4-242-2-442-42-4-22-24-44-20000002-2-22-222000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000000000
χ844-444-44-4-4-242-2-442-42-4-22-24-44-20000002-2-22-22200000000000000000000000000000000000000−4i4i000000000000002i−2i00000000000000
χ854-44-44-44-44-2-442-24-2-42-44-42-22-200004i−4i2-22-22-22000000004i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ864-44-44-44-44-2-442-24-2-42-44-42-22-20000−4i4i2-22-22-2200000000−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ874-44-44-44-4-242-2-44-242-42-22-44-4-200004i−4i2-22-22-2200000000−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ884-44-44-44-4-242-2-44-242-42-22-44-4-20000−4i4i2-22-22-22000000002i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ894-44-44-44-4-2-22-22-2-2-2222-222-22100004i−4i-11-11-11-100000000−2i2i−2i2i3-3-333i−3i3i−3iii−i−i0000000000000000000000000000000000000000000000
χ904-44-44-44-4-2-22-22-2-2-2222-222-22100004i−4i-11-11-11-100000000−2i2i−2i2i-333-3−3i3i−3i3iii−i−i0000000000000000000000000000000000000000000000
χ914-44-44-44-4-2-22-22-2-2-2222-222-2210000−4i4i-11-11-11-1000000002i−2i2i−2i3-3-33−3i3i−3i3i−i−iii0000000000000000000000000000000000000000000000
χ924-44-44-44-4-2-22-22-2-2-2222-222-2210000−4i4i-11-11-11-1000000002i−2i2i−2i-333-33i−3i3i−3i−i−iii0000000000000000000000000000000000000000000000
χ934-4-44-4-4444-2-4-4224-24-24-4-4-222-24-4000022-222-2-24-4-2200000000-2-222000000000000000000000000000000000000000000000000000000
χ944-4-44-4-4444-2-4-4224-24-24-4-4-222-2-44000022-222-2-2-442-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ954-4-44-4-444-2422-4-4-24-24-2224-4-4-24-4000022-222-2-2-224-400000000-2-222000000000000000000000000000000000000000000000000000000
χ964-4-44-4-444-2422-4-4-24-24-2224-4-4-2-44000022-222-2-22-2-440000000022-2-2000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-22222-2-2-2-2-222-22214-40000-1-11-1-111-22-220000000011-1-13-3-333-3-330000000000000000000000000000000000000000000000
χ984-4-44-4-444-2-22222-2-2-2-2-222-22214-40000-1-11-1-111-22-220000000011-1-1-333-3-333-30000000000000000000000000000000000000000000000
χ994-4-44-4-444-2-22222-2-2-2-2-222-2221-440000-1-11-1-1112-22-200000000-1-1113-3-33-333-30000000000000000000000000000000000000000000000
χ1004-4-44-4-444-2-22222-2-2-2-2-222-2221-440000-1-11-1-1112-22-200000000-1-111-333-33-3-330000000000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-422-424-2-4442-2-2-2000000222-2-22-200000000000000000000000000000000004-400000000000000-22000000000000000000
χ1024-4-4-444-444-2-4-422-424-2-4442-2-2-2000000222-2-22-20000000000000000000000000000000000-44000000000000002-2000000000000000000
χ1034-4-4-444-44-2422-4-42-4-242-2-2-444-2000000222-2-22-2000000000000000000000000000000004-400000000000000-2200000000000000000000
χ1044-4-4-444-44-2422-4-42-4-242-2-2-444-2000000222-2-22-200000000000000000000000000000000-44000000000000002-200000000000000000000
χ105888-8-8-8-88-4-4-4-4-4-444-4-4444444200000022-2-2-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10688-888-8-8-8-4-4-44-444444-4-44-4-4420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-44-44-44444-44-4-44-42000000-222-22-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-4444444-4-44-4-44-4-42000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000000000

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