Finite Group Databasebeta

← Group #11867183

Character table — Group #11867183

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466668888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order12223344666666366688121212122424242422444412122424242424242466888812122424242412121212121212122244224461224248866121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111-1-111111111111111-1-1-1-11-11-1-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111
χ51111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1-11-11-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-111
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1-1-1111-1
χ10111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1-11111-111-1-11
χ11111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1111111-1-111-1-1-1-111-1-1-11
χ12111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11-1-11-1-111111-1-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-111-1-1-1-11-1-1111-1-1111-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-111111111-1-1-1-111-1-111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-1-1-1-111-111-1-111-111-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-11111-1-111-1-111-1-1-1-111-11
χ17222222-2-2222222222200-2-2-2-2000022-2-200-2-20000002-2220000-2-200000000000022-2-200002-20000000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200-2-2000000-22220000-2-2000000000000-2-2220000-220000000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200-2-20000002-2-2-2000022000000000000-2-22200002-20000000000
χ20222222-2-2222222222200-2-2-2-20000-2-22200-2-2000000-22-2-200002200000000000022-2-20000-220000000000
χ2122222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-1222222-1-122-1-1-1-100-1-12200-1-1-1-1-1-1-12-12-1-1-1-100002020000000-10-1000
χ2222222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-12222-2-2-1-122-1-1-1-100-1-12200-1-1-1-1-1-11-21-211110000-20-20000000101000
χ2322222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-222-1-122-1-1-1-10011-2-200111111-12-12-1-1-1-10000-20-20000000101000
χ2422222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10011-2-2001111111-21-2111100002020000000-10-1000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1111122222-2-1-1-2-2111100-1-1-2-200-1-1111112-1-211-1-10000-202000000010-1000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-111112222-22-1-1-2-2111100-1-1-2-200-1-11111-1-212-1-111000020-20000000-101000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-11111-2-2-2-22-2-1-1-2-211110011220011-1-1-1-112-1-211-1-1000020-20000000-101000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-11111-2-2-2-2-22-1-1-2-211110011220011-1-1-1-1-1-212-1-1110000-202000000010-1000
χ292222-1222-12-122-1-1-1-1-122-12-122222000022-1-1-1-1-1-1-1-1220000220000002-12-1-1-1-1-100000202-1-1-1-1000-10-100
χ302222-1222-12-122-1-1-1-1-122-12-122222000022-1-1-1-1-1-1-1-1-2-20000-2-20000002-12-1-1-1-1-100000-20-2111100010100
χ312222-1222-12-122-1-1-1-1-122-12-1222220000-2-2-1-1-1-1-1-1-1-122000022000000-21-21111100000-20-2-1-1-1-100010100
χ322222-1222-12-122-1-1-1-1-122-12-1222220000-2-2-1-1-1-1-1-1-1-1-2-20000-2-2000000-21-211111000002021111000-10-100
χ332222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-200002-2-1-1111111220000-2-2000000-2-12111-1-100000-202-1-11100010-100
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-200002-2-1-1111111-2-2000022000000-2-12111-1-10000020-211-1-1000-10100
χ352222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-20000-22-1-1111111220000-2-200000021-2-1-1-1110000020-2-1-111000-10100
χ362222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-20000-22-1-1111111-2-200002200000021-2-1-1-11100000-20211-1-100010-100
χ372-22-2222-2-2-222-2-22-2-222i−2i22-2-22i2i−2i−2i0000002-22i−2i2i2i−2i−2i00000000000000000000002-22-2000000002i−2i000000
χ382-22-2222-2-2-222-2-22-2-222i−2i22-2-22i2i−2i−2i0000002-22i−2i2i2i−2i−2i0000000000000000000000-22-2200000000−2i2i000000
χ392-22-2222-2-2-222-2-22-2-22−2i2i22-2-2−2i−2i2i2i0000002-2−2i2i−2i−2i2i2i00000000000000000000002-22-200000000−2i2i000000
χ402-22-2222-2-2-222-2-22-2-22−2i2i22-2-2−2i−2i2i2i0000002-2−2i2i−2i−2i2i2i0000000000000000000000-22-22000000002i−2i000000
χ412-22-222-22-2-222-2-22-2-2200-2-2220000000000-2200000000002-22-20022-2-2000000002-2-220000002-200000000
χ422-22-222-22-2-222-2-22-2-2200-2-2220000000000-2200000000002-2-220022-2-200000000-222-2000000-2200000000
χ432-22-222-22-2-222-2-22-2-2200-2-2220000000000-220000000000-222-200-2-22200000000-222-20000002-200000000
χ442-22-222-22-2-222-2-22-2-2200-2-2220000000000-220000000000-22-2200-2-222000000002-2-22000000-2200000000
χ4544444-2-4-44-24-2-24-2-2-2-200-42-42000044-4-4002200000000-2-200002200000000000000000000000000000000
χ4644444-2-4-44-24-2-24-2-2-2-200-42-420000-4-444002200000000220000-2-200000000000000000000000000000000
χ474444-24-4-4-24-244-2-2-2-2-2002-42-40000000000220000004-40000000000000000000000000000-220000000000
χ484444-24-4-4-24-244-2-2-2-2-2002-42-4000000000022000000-4400000000000000000000000000002-20000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200004411-2-2111100000000000000-2-2-2-2111100000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000-4-411-2-21111000000000000002222-1-1-1-100000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200004-41122-1-1-1-1000000000000002-2-22-1-11100000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000-441122-1-1-1-100000000000000-222-211-1-100000000000000000000
χ5344-4-444004-4-4-44-444-4-40000000000004i−4i0000000000000000004i−4i00000000000000000000000000000000
χ5444-4-444004-4-4-44-444-4-4000000000000−4i4i000000000000000000−4i4i00000000000000000000000000000000
χ5544-4-44-20042-42-2-4-2-222000000i6−i6i6−i6004i−4i000000i6−i6i6−i600000000−2i2i6−66−60000000000000000000000000000
χ5644-4-44-20042-42-2-4-2-222000000i6−i6i6−i600−4i4i000000i6−i6i6−i6000000002i−2i−66−660000000000000000000000000000
χ5744-4-44-20042-42-2-4-2-222000000−i6i6−i6i6004i−4i000000−i6i6−i6i600000000−2i2i−66−660000000000000000000000000000
χ5844-4-44-20042-42-2-4-2-222000000−i6i6−i6i600−4i4i000000−i6i6−i6i6000000002i−2i6−66−60000000000000000000000000000
χ594-44-44-24-4-424-22-4-222-24i−4i4-2-42−2i−2i2i2i000000-224i−4i−2i−2i2i2i000000000000000000000000000000000000000000
χ604-44-44-24-4-424-22-4-222-2−4i4i4-2-422i2i−2i−2i000000-22−4i4i2i2i−2i−2i000000000000000000000000000000000000000000
χ614-44-44-2-44-424-22-4-222-200-424-200000000002-200000000004-40000-2-2220000000000000000000000000000
χ624-44-44-2-44-424-22-4-222-200-424-200000000002-20000000000-44000022-2-20000000000000000000000000000
χ634-44-4-244-42-4-24-42-222-24i−4i-242-44i4i−4i−4i000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ644-44-4-244-42-4-24-42-222-2−4i4i-242-4−4i−4i4i4i000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ654-44-4-24-442-4-24-42-222-2002-4-2400000000002-20000000000004-4000000000000000000000000-2200000000
χ664-44-4-24-442-4-24-42-222-2002-4-2400000000002-2000000000000-440000000000000000000000002-200000000
χ674-44-4-2-24-422-2-2221-1-114i−4i-2-222−2i−2i2i2i0000001-1−2i2iii−i−i0000000000000000003i−3i3-300000000000000000000
χ684-44-4-2-24-422-2-2221-1-114i−4i-2-222−2i−2i2i2i0000001-1−2i2iii−i−i000000000000000000−3i3i-3300000000000000000000
χ694-44-4-2-24-422-2-2221-1-11−4i4i-2-2222i2i−2i−2i0000001-12i−2i−i−iii0000000000000000003i−3i-3300000000000000000000
χ704-44-4-2-24-422-2-2221-1-11−4i4i-2-2222i2i−2i−2i0000001-12i−2i−i−iii000000000000000000−3i3i3-300000000000000000000
χ714-4-444400-44-4-4-444-44-400000000004-4000000000000004-400000000000000000000000000000000000000
χ724-4-444400-44-4-4-444-44-40000000000-4400000000000000-4400000000000000000000000000000000000000
χ734-4-444-200-4-2-4224-22-220000006−6−664-4000000006−6−6600-220000006−6−660000000000000000000000000000
χ744-4-444-200-4-2-4224-22-220000006−6−66-44000000006−6−66002-2000000−666−60000000000000000000000000000
χ754-4-444-200-4-2-4224-22-22000000−666−64-400000000−666−600-22000000−666−60000000000000000000000000000
χ764-4-444-200-4-2-4224-22-22000000−666−6-4400000000−666−6002-20000006−6−660000000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-84-884-4-444000000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4444-4422-2-20000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8088-8-8-4-400-4444-4422-2-2000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ818-88-8-4-4-8844-4-4442-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000
χ828-8-88-4800484-8-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4444-42-22-200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-4004-4444-42-22-2000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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