Finite Group Databasebeta

← Group #11868984

Character table — Group #11868984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212446612121212121212121212121212121212121222224444888824242424242424246666881212121224242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-111-1-111-1-11-11-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-11-11-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-11-11-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-11-1-111-1-1111-11-11-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1111-1-1-1-1111-11-1-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-1-111-1-111-11-111-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1111-111-1-111-1-1-11-111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-1-11111-1-11-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000000000000000000000000000-222-200
χ192222222-122222-1-1-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122220000000000000000-1-1-1-1220000-1-1-1-1000000
χ202222222-122222-1-1-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000001111-2-200001111000000
χ212222222-122222-1-1-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-2-2-1-11111-2-2-2-2-1-11111111122220000000000000000-1-1-1-1-2-200001111000000
χ222222222-122222-1-1-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-1-2-2-1-11111-2-2-2-2-1-111111111-2-2-2-200000000000000001111220000-1-1-1-1000000
χ23222222-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ24222222-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111100000011110000000000
χ25222222-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-21111-1-11111111100002222-2-2-2-211111111000000-1-1-1-10000000000
χ26222222-122222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-21111-1-1111111110000-2-2-2-22222-1-1-1-1-1-1-1-100000011110000000000
χ272222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-200-2-200000000-2-200000000000000000000000000000000000000000022-2-200
χ282222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-200-2-200000000-2-2000000000000000000000000000000000000000000-2-22200
χ292222-2-22-12-2-222-1-1-122-2-2-2-2-1-2-211-1-1-12-11111112-12-211-1-11122-2-2-1-1-1-1-1-1111122-2-20000000000000000-1-1112-20000-1-111000000
χ302222-2-22-12-2-222-1-1-122-2-2-2-2-1-2-211-1-1-12-11111112-12-211-1-11122-2-2-1-1-1-1-1-11111-2-222000000000000000011-1-1-22000011-1-1000000
χ312222-2-22-12-2-222-1-1-122-2-2-2-2-1-2-211-1-1-12-11111112-1-221111-1-1-2-222-1-11111-1-1-1-122-2-20000000000000000-1-111-22000011-1-1000000
χ322222-2-22-12-2-222-1-1-122-2-2-2-2-1-2-211-1-1-12-11111112-1-221111-1-1-2-222-1-11111-1-1-1-1-2-222000000000000000011-1-12-20000-1-111000000
χ332222-2-2-122-2-22-1222-1-11111-111-2-2-1-1-1-12-2-21111-122-21122-2-2-1-111-1-1-1-1-1-11111000022-2-222-2-2-1-1-1-11111000000-1-1110000000000
χ342222-2-2-122-2-22-1222-1-11111-111-2-2-1-1-1-12-2-21111-122-21122-2-2-1-111-1-1-1-1-1-111110000-2-222-2-2221111-1-1-1-100000011-1-10000000000
χ352222-2-2-122-2-22-1222-1-11111-111-2-2-1-1-1-12-2-21111-12-2211-2-22211-1-1-1-11111-1-1-1-1000022-2-2-2-2221111-1-1-1-1000000-1-1110000000000
χ362222-2-2-122-2-22-1222-1-11111-111-2-2-1-1-1-12-2-21111-12-2211-2-22211-1-1-1-11111-1-1-1-10000-2-22222-2-2-1-1-1-1111100000011-1-10000000000
χ3722-2-22-22222-2-222-2-2-2-222-2-222-22-22-2-2222-222-2-2-2-2002-2000000002-2000000002-22-200000000000000002-22-20000000000000000
χ3822-2-22-22222-2-222-2-2-2-222-2-222-22-22-2-2222-222-2-2-2-2002-2000000002-200000000-22-220000000000000000-22-220000000000000000
χ3922-2-22-222-2-22222-2-2-2-2-2-22222-22-22-2-2-2-2-22-2-22222002-200000000-220000000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ4022-2-22-222-2-22222-2-2-2-2-2-22222-22-22-2-2-2-2-22-2-22222002-200000000-22000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ4122-2-22-22-122-2-22-111-2-222-2-2-12-2-11-1112-1-11-1-111-2100-113−33−30000-1133−3−333−3−32-22-20000000000000000-11-110000003−33−3000000
χ4222-2-22-22-122-2-22-111-2-222-2-2-12-2-11-1112-1-11-1-111-2100-113−33−30000-1133−3−333−3−3-22-2200000000000000001-11-1000000−33−33000000
χ4322-2-22-22-122-2-22-111-2-222-2-2-12-2-11-1112-1-11-1-111-2100-11−33−330000-11−3−333−3−3332-22-20000000000000000-11-11000000−33−33000000
χ4422-2-22-22-122-2-22-111-2-222-2-2-12-2-11-1112-1-11-1-111-2100-11−33−330000-11−3−333−3−333-22-2200000000000000001-11-10000003−33−3000000
χ4522-2-22-2-12-2-222-12-2-21111-1-1-1-112-2-1111-2-2211-1-1-1200-1100003−33−31-13−33−33−33−300002i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i3000000−ii−ii0000000000
χ4622-2-22-2-12-2-222-12-2-21111-1-1-1-112-2-1111-2-2211-1-1-1200-1100003−33−31-13−33−33−33−30000−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i3000000i−ii−i0000000000
χ4722-2-22-2-12-2-222-12-2-21111-1-1-1-112-2-1111-2-2211-1-1-1200-110000−33−331-1−33−33−33−3300002i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i3000000−ii−ii0000000000
χ4822-2-22-2-12-2-222-12-2-21111-1-1-1-112-2-1111-2-2211-1-1-1200-110000−33−331-1−33−33−33−330000−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i3000000i−ii−i0000000000
χ4922-2-2-22222-22-222-2-2-2-2-2-2222-22-222-2-222-22-2-222-2-200-22000000002-2000000002-2-2200000000000000002-2-220000000000000000
χ5022-2-2-22222-22-222-2-2-2-2-2-2222-22-222-2-222-22-2-222-2-200-22000000002-200000000-222-20000000000000000-222-20000000000000000
χ5122-2-2-2222-22-2222-2-2-2-222-2-22-22-222-2-2-2-22-222-2-22200-2200000000-220000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ5222-2-2-2222-22-2222-2-2-2-222-2-22-22-222-2-2-2-22-222-2-22200-2200000000-22000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ5322-2-2-222-12-22-22-111-2-2-2-222-1-221-1-1112-11-111-1-1-21001-13−3−330000-1133−3−3−3−3332-2-220000000000000000-111-10000003−3−33000000
χ5422-2-2-222-12-22-22-111-2-2-2-222-1-221-1-1112-11-111-1-1-21001-13−3−330000-1133−3−3−3−333-222-200000000000000001-1-11000000−333−3000000
χ5522-2-2-222-12-22-22-111-2-2-2-222-1-221-1-1112-11-111-1-1-21001-1−333−30000-11−3−33333−3−32-2-220000000000000000-111-1000000−333−3000000
χ5622-2-2-222-12-22-22-111-2-2-2-222-1-221-1-1112-11-111-1-1-21001-1−333−30000-11−3−33333−3−3-222-200000000000000001-1-110000003−3−33000000
χ5722-2-2-22-12-22-22-12-2-211-1-111-11-1-22-1111-22-2-1-111-12001-100003−3−331-13−33−3−33−3300002i−2i−2i2i0000−i3−i3i3i3i3i3−i3−i3000000−iii−i0000000000
χ5822-2-2-22-12-22-22-12-2-211-1-111-11-1-22-1111-22-2-1-111-12001-100003−3−331-13−33−3−33−330000−2i2i2i−2i0000i3i3−i3−i3−i3−i3i3i3000000i−i−ii0000000000
χ5922-2-2-22-12-22-22-12-2-211-1-111-11-1-22-1111-22-2-1-111-12001-10000−333−31-1−33−333−33−300002i−2i−2i2i0000i3i3−i3−i3−i3−i3i3i3000000−iii−i0000000000
χ6022-2-2-22-12-22-22-12-2-211-1-111-11-1-22-1111-22-2-1-111-12001-10000−333−31-1−33−333−33−30000−2i2i2i−2i0000−i3−i3i3i3i3i3−i3−i3000000i−i−ii0000000000
χ614444444-2-4-4-4-44-2-2-244-4-4-4-4-244-2-2-2-2-2-42222222-4200-2-20000000022000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2444-2-22222-2-2-244-2-2-22-4-4-422222-400-2-20000000022000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-24411-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-2-4-4112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-122001100000000-1-13-3-333-3-330000000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-1-1-122001100000000-1-1-333-3-333-30000000000000000000000000000000000000000
χ674444-4-44-2-444-44-2-2-2444444-2-4-422-2-2-2-42-2-2-2-2-2-2-4200220000000022000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2444-2-2-2-2-2-2-222-4-4-2-2-22-444-2-2-2-22-400220000000022000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-222-1-1-1-1-2-24-4-1-1-2-222-2-222111111-1-1-1-10000000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-222-1-1-1-1-2-2-44-1-122-2-222-2-211-1-1-1-111110000000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-21222211122-2-211112200-1-100000000-1-13-3-33-333-30000000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-21222211122-2-211112200-1-100000000-1-1-333-33-3-330000000000000000000000000000000000000000
χ7344-4-44-44-2-4-4444-222-4-4-4-444-24-4-22-222-422-222-2-24-200-22000000002-2000000000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-4-24-4-422-2-222-2-224-4-222-244-4-2-2222-400-2200000000-22000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-2-22222-2-2221-22-221-1-1-2-2-2211-1-122001-123−2323−2300001-1−3−333−3−3330000000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4-2-22222-2-2221-22-221-1-1-2-2-2211-1-122001-1−2323−232300001-133−3−333−3−30000000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-2-2222222-2-21-22-221-1-1222-2-1-111-2-2001-1000023−2323−23-11−33−33−33−330000000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444-2-2222222-2-21-22-221-1-1222-2-1-111-2-2001-10000−2323−2323-113−33−33−33−30000000000000000000000000000000000000000
χ7944-4-4-444-2-44-444-222-4-444-4-4-2-442-2-222-42-22-2-2224-2002-2000000002-2000000000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-24-4-42222-2-2-22-2-44-222-24-4422-2-22-4002-200000000-22000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-2-2222222-2-212-22-21-1-1-2-22-2-1-1112200-1123−23−232300001-1−3−33333−3−30000000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-2-2222222-2-212-22-21-1-1-2-22-2-1-1112200-11−232323−2300001-133−3−3−3−3330000000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-2-22222-2-22212-22-21-1-122-2211-1-1-2-200-11000023−23−2323-11−33−333−33−30000000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-2-22222-2-22212-22-21-1-122-2211-1-1-2-200-110000−232323−23-113−33−3−33−330000000000000000000000000000000000000000
χ854-44-400440000-4-44-44-4000040000-44-4000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ864-44-400440000-4-44-44-4000040000-44-40000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ874-44-400-2400002-44-4-2223−2323−23-200002-22000023−2323−230000000000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i200000000000000000000
χ884-44-400-2400002-44-4-2223−2323−23-200002-22000023−2323−2300000000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000
χ894-44-400-2400002-44-4-22−2323−2323-200002-220000−2323−23230000000000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i200000000000000000000
χ904-44-400-2400002-44-4-22−2323−2323-200002-220000−2323−232300000000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000
χ914-4-4400440000-4-4-44-44000040000-4-44000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4400440000-4-4-44-44000040000-4-440000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-4400-2400002-4-442-223−23−2323-2000022-2000023−23−23230000000000000000000000000000000022−2200−222−2−666−600000000000000000000
χ944-4-4400-2400002-4-442-223−23−2323-2000022-2000023−23−232300000000000000000000000000000000−2222002−2−226−6−6600000000000000000000
χ954-4-4400-2400002-4-442-2−232323−23-2000022-20000−232323−230000000000000000000000000000000022−2200−222−26−6−6600000000000000000000
χ964-4-4400-2400002-4-442-2−232323−23-2000022-20000−232323−2300000000000000000000000000000000−2222002−2−22−666−600000000000000000000
χ978-88-8008-40000-84-448-80000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−4320000-22-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−434320000-22-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-844-4-880000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−434320000-2-220000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−4320000-2-22000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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