Finite Group Databasebeta

← Group #11868174

Character table — Group #11868174

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222444444444444466668888888888888881212121212121212121216161616161624242424242424242424242424243636363648487272
order122334466663666688121212122424224424661212121224242424242424246688881212666121212446881212121212242424242488242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111111-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1111111-1-1
χ91111111111111111-1-11111-1-111111-111-1-111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11-111-1111-1-1-1-1-1-111-1-11-11-1
χ101111111111111111-1-11111-1-111111-111-1-111-1-1-1-1-1-1-1-1-111-1-11111111-1-1-11-1-1-11-111-1-1-1-111-1-111-11-11
χ111111111111111111-1-11111-1-11111-11-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-111-1-1-11-11
χ121111111111111111-1-11111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-11-11-1-1-1-111-1-111-1-1111-11-1
χ131111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1111-11-1-11111-1-1-1-1111-1-11
χ141111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11-1-1-111111111-1-1-111-1
χ151111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-11-11111-1-111-1-1-1-111-111-1
χ161111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-1111111-1-11-1-11
χ1722222-2-222222222200-2-2-2-20022-2-2000000-2-200000000022002i−2i-2-20000000000000000002i−2i002i−2i0000
χ1822222-2-222222222200-2-2-2-20022-2-2000000-2-20000000002200−2i2i-2-2000000000000000000−2i2i00−2i2i0000
χ1922222-2-222222222200-2-2-2-200-2-222000000-2-2000000000-2-2002i−2i220000000000000000002i−2i00−2i2i0000
χ2022222-2-222222222200-2-2-2-200-2-222000000-2-2000000000-2-200−2i2i22000000000000000000−2i2i002i−2i0000
χ212222-12222-12-1-1-1-1-1222-12-1-1-10000222222-1-122-1-1-1-1-12200002200-1-1-1-1-1-100-122-1000000-1-10000-1-100
χ222222-12222-12-1-1-1-1-1222-12-1-1-10000222222-1-122-1-1-1-1-1-2-20000-2-200-1-1-1-1-1-1001-2-210000001100001100
χ232222-12222-12-1-1-1-1-1222-12-1-1-10000-2-2-2-2-2-2-1-122-1-1-1-1-1220000220011111100-1-2-2-1000000-1-100001100
χ242222-12222-12-1-1-1-1-1222-12-1-1-10000-2-2-2-2-2-2-1-122-1-1-1-1-1-2-20000-2-200111111001221000000110000-1-100
χ252222-12222-12-1-1-1-1-1-2-22-12-11100002-222-2-2-1-1-2-211111220000-2-200-1-1-111100-12-2-1000000110000-1100
χ262222-12222-12-1-1-1-1-1-2-22-12-11100002-222-2-2-1-1-2-211111-2-200002200-1-1-1111001-221000000-1-100001-100
χ272222-12222-12-1-1-1-1-1-2-22-12-1110000-22-2-222-1-1-2-211111220000-2-200111-1-1-100-1-22-10000001100001-100
χ282222-12222-12-1-1-1-1-1-2-22-12-1110000-22-2-222-1-1-2-211111-2-200002200111-1-1-10012-21000000-1-10000-1100
χ29222-1222-1-12-1-12-1-1-122-12-1222222222-1-1-1-1-1-1-1-12-1-1-1-100-1-12200-1-12-1-12-1-1220000-1-1-1-1-1-10000000000
χ30222-1222-1-12-1-12-1-1-122-12-12222222-2-21111-1-1-1-12-1-1-1-100-1-12200-1-1-211-211-2-200001111-1-10000000000
χ31222-1222-1-12-1-12-1-1-122-12-1222-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-10011-2-200112-1-12-1-1-2-200001111110000000000
χ32222-1222-1-12-1-12-1-1-122-12-1222-2-2-2-2-2-21111-1-1-1-12-1-1-1-10011-2-20011-211-211220000-1-1-1-1110000000000
χ33222-1222-1-12-1-12-1-1-1-2-2-12-12-2-222222-2-1-111-1-111-2111100-1-1-2-200-1-12-1-1-2112-20000-1-111110000000000
χ34222-1222-1-12-1-12-1-1-1-2-2-12-12-2-22222-2211-1-1-1-111-2111100-1-1-2-200-1-1-2112-1-1-22000011-1-1110000000000
χ35222-1222-1-12-1-12-1-1-1-2-2-12-12-2-2-2-2-2-22-2-1-111-1-111-2111100112200112-1-1-211-22000011-1-1-1-10000000000
χ36222-1222-1-12-1-12-1-1-1-2-2-12-12-2-2-2-2-2-2-2211-1-1-1-111-211110011220011-2112-1-12-20000-1-111-1-10000000000
χ3722-2222-2-2-2222-2-2-222-2-222-2222-22-2000000-222-2-222-2-2002-22-2002-200000000000000002-20000000000
χ3822-2222-2-2-2222-2-2-222-2-222-222-22-22000000-222-2-222-2-200-22-2200-220000000000000000-220000000000
χ3922-2222-2-2-2222-2-2-22-22-222-2-2-22-22-2000000-22-222-2-222002-2-22002-20000000000000000-220000000000
χ4022-2222-2-2-2222-2-2-22-22-222-2-2-2-22-22000000-22-222-2-22200-222-200-2200000000000000002-20000000000
χ4122-222-22-2-2222-2-2-22002-2-22002-2-220000002-200000002-22-20000-2200000000200-2000000002-2000000
χ4222-222-22-2-2222-2-2-22002-2-22002-2-220000002-20000000-222-20000-2200000000-200200000000-22000000
χ4322-222-22-2-2222-2-2-22002-2-2200-222-20000002-200000002-2-2200002-200000000200-200000000-22000000
χ4422-222-22-2-2222-2-2-22002-2-2200-222-20000002-20000000-22-2200002-200000000-2002000000002-2000000
χ4522-2-122-2112-1-1-211-12-212-1-2222-22-200−i3i3−i3i31-1-11-2-1-11100-112-200-110−i3i30−i3i3000000−i3i3−i3i3-110000000000
χ4622-2-122-2112-1-1-211-12-212-1-2222-22-200i3−i3i3−i31-1-11-2-1-11100-112-200-110i3−i30i3−i3000000i3−i3i3−i3-110000000000
χ4722-2-122-2112-1-1-211-12-212-1-222-22-2200−i3i3−i3i31-1-11-2-1-111001-1-22001-10−i3i30−i3i3000000i3−i3i3−i31-10000000000
χ4822-2-122-2112-1-1-211-12-212-1-222-22-2200i3−i3i3−i31-1-11-2-1-111001-1-22001-10i3−i30i3−i3000000−i3i3−i3i31-10000000000
χ4922-2-122-2112-1-1-211-1-2212-1-2-2-22-22-200−i3i3i3−i31-11-1211-1-100-11-2200-110−i3i30i3−i3000000−i3i3i3−i31-10000000000
χ5022-2-122-2112-1-1-211-1-2212-1-2-2-22-22-200i3−i3−i3i31-11-1211-1-100-11-2200-110i3−i30−i3i3000000i3−i3−i3i31-10000000000
χ5122-2-122-2112-1-1-211-1-2212-1-2-2-2-22-2200−i3i3i3−i31-11-1211-1-1001-12-2001-10−i3i30i3−i3000000i3−i3−i3i3-110000000000
χ5222-2-122-2112-1-1-211-1-2212-1-2-2-2-22-2200i3−i3−i3i31-11-1211-1-1001-12-2001-10i3−i30−i3i3000000−i3i3i3−i3-110000000000
χ534444-2-4-444-24-2-2-2-2-200-42-420000000000002200000000000004i−4i00000000000000000000−2i2i00000000
χ544444-2-4-444-24-2-2-2-2-200-42-42000000000000220000000000000−4i4i000000000000000000002i−2i00000000
χ55444-24-4-4-2-24-2-24-2-2-2002-42-40044-4-400000022000000000-2-20000220000000000000000000000000000
χ56444-24-4-4-2-24-2-24-2-2-2002-42-400-4-44400000022000000000220000-2-20000000000000000000000000000
χ57444-2-244-2-2-2-21-211144-2-2-2-2-2-2000044-2-2-2-211-2-2-211110000000000-211-2110000000000000000000000
χ58444-2-244-2-2-2-21-211144-2-2-2-2-2-20000-4-4222211-2-2-2111100000000002-1-12-1-10000000000000000000000
χ59444-2-244-2-2-2-21-2111-4-4-2-2-2-22200004-4-2-22211222-1-1-1-10000000000-2112-1-10000000000000000000000
χ60444-2-244-2-2-2-21-2111-4-4-2-2-2-2220000-4422-2-211222-1-1-1-100000000002-1-1-2110000000000000000000000
χ6144-44-24-4-4-4-24-2222-24-4-4-242-2-200000000002-24-42-2-22200000000000000000000000000000000000000
χ6244-44-24-4-4-4-24-2222-2-44-4-2422200000000002-2-44-222-2-200000000000000000000000000000000000000
χ6344-44-2-44-4-4-24-2222-20042-4-2000000000000-2200000004-40000000000000000-20020000000000000000
χ6444-44-2-44-4-4-24-2222-20042-4-2000000000000-220000000-440000000000000000200-20000000000000000
χ6544-4-24-44224-2-2-422-200-2-424004-4-44000000-22000000000-2200002-20000000000000000000000000000
χ6644-4-24-44224-2-2-422-200-2-42400-444-4000000-220000000002-20000-220000000000000000000000000000
χ6744-4-2-24-422-2-212-1-114-42-2-22-2-2000000−2i32i3−2i32i3-11-22211-1-100000000000i3−i30i3−i30000000000000000000000
χ6844-4-2-24-422-2-212-1-114-42-2-22-2-20000002i3−2i32i3−2i3-11-22211-1-100000000000−i3i30−i3i30000000000000000000000
χ6944-4-2-24-422-2-212-1-11-442-2-2222000000−2i32i32i3−2i3-112-2-2-1-11100000000000i3−i30−i3i30000000000000000000000
χ7044-4-2-24-422-2-212-1-11-442-2-22220000002i3−2i3−2i32i3-112-2-2-1-11100000000000−i3i30i3−i30000000000000000000000
χ71888-4-4-8-8-4-4-4-42-4222004444000000000000-2-2000000000000000000000000000000000000000000000
χ7288-8-4-4-8844-4-424-2-2200-444-40000000000002-2000000000000000000000000000000000000000000000
χ738-80880000-8-88000-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-400004-8-4000400000026−2600000000000000026−260000000000000000000000000000000000000000
χ758-808-400004-8-40004000000−2626000000000000000−26260000000000000000000000000000000000000000
χ768-80-4800−4i34i3-84-40−4i34i3400000000000000000000000000000000000000000000000000000000000000000
χ778-80-48004i3−4i3-84-404i3−4i3400000000000000000000000000000000000000000000000000000000000000000
χ788-80-4-400−4i34i344202i3−2i3-200000026−26000000000000000−66−3i23i200000000000000000000000000000000000000
χ798-80-4-400−4i34i344202i3−2i3-2000000−26260000000000000006−63i2−3i200000000000000000000000000000000000000
χ808-80-4-4004i3−4i34420−2i32i3-200000026−26000000000000000−663i2−3i200000000000000000000000000000000000000
χ818-80-4-4004i3−4i34420−2i32i3-2000000−26260000000000000006−6−3i23i200000000000000000000000000000000000000

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