Finite Group Databasebeta

← Group #11724430

Character table — Group #11724430

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222244444466688121212121212121212121212181818272736363611222222444444666881212121212121212121212121818182727363636
order123336663336664443612121212121212121212121244422121212226666666666664446612121212121212121212121244422121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1111111-1-11111-1-11-1-1-1-11-1-11111111111111111-1111111-1-11111-1-11-1-1-1-11-1-1
χ3111111111111111-111111-1-11111-1-111-11-1-1-1-11-1111111111111111-111111-1-11111-1-111-11-1-1-1-11-1
χ4111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-11
χ511111111111111-11111-1-11111-1-11111-1-11-1-1-1-1111111111111111-11111-1-11111-1-11111-1-11-1-1-1-11
χ611111111111111-11-111-1-111-1-1-1-111-1-1-11-111-11-111111111111111-11-111-1-111-1-1-1-111-1-1-11-111-11-1
χ711111111111111-1-1111-1-1-1-111-1-1-1-1111-1-1111-1-111111111111111-1-1111-1-1-1-111-1-1-1-1111-1-1111-1-1
χ811111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111
χ92222-122-12-1-12-1-1022-1-1002-12-100-1-1-1-10020000-12222-122-12-1-12-1-1022-1-1002-12-100-1-1-1-10020000-1
χ102222-122-12-1-12-1-102-2-1-1002-1-2100-1-11100-2000012222-122-12-1-12-1-102-2-1-1002-1-2100-1-11100-200001
χ112222-122-12-1-12-1-10-22-1-100-212-10011-1-100-2000012222-122-12-1-12-1-10-22-1-100-212-10011-1-100-200001
χ122222-122-12-1-12-1-10-2-2-1-100-21-210011110020000-12222-122-12-1-12-1-10-2-2-1-100-21-210011110020000-1
χ13222-122-12-12-1-12-1202-1-12-100-12-1-100-1-1020000-10222-122-12-12-1-12-1202-1-12-100-12-1-100-1-1020000-10
χ14222-122-12-12-1-12-120-2-1-12-1001-2-1-100110-2000010222-122-12-12-1-12-120-2-1-12-1001-2-1-100110-2000010
χ15222-122-12-12-1-12-1-202-1-1-2100-121100-1-10-2000010222-122-12-12-1-12-1-202-1-1-2100-121100-1-10-2000010
χ16222-122-12-12-1-12-1-20-2-1-1-21001-2110011020000-10222-122-12-12-1-12-1-20-2-1-1-21001-2110011020000-10
χ1722-122-122-1-12-1-12220-1-1-12-1200-1-1-1-10020000-10022-122-122-1-12-1-12220-1-1-12-1200-1-1-1-10020000-100
χ1822-122-122-1-12-1-122-20-1-1-121-200-1-11100-2000010022-122-122-1-12-1-122-20-1-1-121-200-1-11100-20000100
χ1922-122-122-1-12-1-12-220-1-11-2-120011-1-100-2000010022-122-122-1-12-1-12-220-1-11-2-120011-1-100-20000100
χ2022-122-122-1-12-1-12-2-20-1-11-21-20011110020000-10022-122-122-1-12-1-12-2-20-1-11-21-20011110020000-100
χ212-2222-2-2-2222-2-2-20002-20000000000000002-20002-2222-2-2-2222-2-2-20002-20000000000000002-2000
χ222-2222-2-2-2222-2-2-20002-2000000000000000-220002-2222-2-2-2222-2-2-20002-2000000000000000-22000
χ23444-2-24-2-2-2-21-2-21004110000-2-200001100000000444-2-24-2-2-2-21-2-21004110000-2-200001100000000
χ24444-2-24-2-2-2-21-2-2100-4110000220000-1-100000000444-2-24-2-2-2-21-2-2100-4110000220000-1-100000000
χ2544-24-2-24-2-21-2-21-20401100-2-2000011000000000044-24-2-24-2-21-2-21-20401100-2-20000110000000000
χ2644-24-2-24-2-21-2-21-20-401100220000-1-1000000000044-24-2-24-2-21-2-21-20-401100220000-1-10000000000
χ2744-2-24-2-241-2-21-2-240011-2-200001100000000000044-2-24-2-241-2-21-2-240011-2-2000011000000000000
χ2844-2-24-2-241-2-21-2-2-40011220000-1-100000000000044-2-24-2-241-2-21-2-2-40011220000-1-1000000000000
χ294-444-2-4-424-2-2-422000-22000000000000000000004-444-2-4-424-2-2-422000-2200000000000000000000
χ304-44-24-42-4-24-22-42000-22000000000000000000004-44-24-42-4-24-22-42000-2200000000000000000000
χ314-44-2-2-422-2-2122-10001-100000000003i−3i000000004-44-2-2-422-2-2122-10001-100000000003i−3i00000000
χ324-44-2-2-422-2-2122-10001-10000000000−3i3i000000004-44-2-2-422-2-2122-10001-10000000000−3i3i00000000
χ334-4-2442-4-4-2-2422-4000-22000000000000000000004-4-2442-4-4-2-2422-4000-2200000000000000000000
χ344-4-24-22-42-21-22-120001-1000000003i−3i00000000004-4-24-22-42-21-22-120001-1000000003i−3i0000000000
χ354-4-24-22-42-21-22-120001-100000000−3i3i00000000004-4-24-22-42-21-22-120001-100000000−3i3i0000000000
χ364-4-2-2422-41-2-2-1220001-10000003i−3i0000000000004-4-2-2422-41-2-2-1220001-10000003i−3i000000000000
χ374-4-2-2422-41-2-2-1220001-1000000−3i3i0000000000004-4-2-2422-41-2-2-1220001-1000000−3i3i000000000000
χ3888-4-4-4-4-4-4222222000-1-10000000000000000000088-4-4-4-4-4-4222222000-1-100000000000000000000
χ398-8-4-4-4444222-2-2-2000-11000000000000000000008-8-4-4-4444222-2-2-2000-1100000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1111111-1-11111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-11111-111
χ42111111111111111-111111-1-11111-1-111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11-11111-11
χ43111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-111-1
χ4411111111111111-11111-1-11111-1-11111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-11111-1
χ4511111111111111-11-111-1-111-1-1-1-111-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1111-11-1-11-11
χ4611111111111111-1-1111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-111-1-1-111
χ4711111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111-1-1-111-1-1-1
χ482222-122-12-1-12-1-1022-1-1002-12-100-1-1-1-10020000-1-2-2-2-21-2-21-211-2110-2-21100-21-2100111100-200001
χ492222-122-12-1-12-1-102-2-1-1002-1-2100-1-11100-200001-2-2-2-21-2-21-211-2110-221100-212-10011-1-10020000-1
χ502222-122-12-1-12-1-10-22-1-100-212-10011-1-100-200001-2-2-2-21-2-21-211-21102-211002-1-2100-1-1110020000-1
χ512222-122-12-1-12-1-10-2-2-1-100-21-210011110020000-1-2-2-2-21-2-21-211-21102211002-12-100-1-1-1-100-200001
χ52222-122-12-12-1-12-1202-1-12-100-12-1-100-1-1020000-10-2-2-21-2-21-21-211-21-20-211-21001-21100110-2000010
χ53222-122-12-12-1-12-120-2-1-12-1001-2-1-100110-2000010-2-2-21-2-21-21-211-21-20211-2100-121100-1-1020000-10
χ54222-122-12-12-1-12-1-202-1-1-2100-121100-1-10-2000010-2-2-21-2-21-21-211-2120-2112-1001-2-1-10011020000-10
χ55222-122-12-12-1-12-1-20-2-1-1-21001-2110011020000-10-2-2-21-2-21-21-211-21202112-100-12-1-100-1-10-2000010
χ5622-122-122-1-12-1-12220-1-1-12-1200-1-1-1-10020000-100-2-21-2-21-2-211-211-2-2-20111-21-200111100-20000100
χ5722-122-122-1-12-1-122-20-1-1-121-200-1-11100-20000100-2-21-2-21-2-211-211-2-220111-2-120011-1-10020000-100
χ5822-122-122-1-12-1-12-220-1-11-2-120011-1-100-20000100-2-21-2-21-2-211-211-22-2011-121-200-1-1110020000-100
χ5922-122-122-1-12-1-12-2-20-1-11-21-20011110020000-100-2-21-2-21-2-211-211-222011-12-1200-1-1-1-100-20000100
χ602-2222-2-2-2222-2-2-20002-20000000000000002-2000-22-2-2-2222-2-2-2222000-22000000000000000-22000
χ612-2222-2-2-2222-2-2-20002-2000000000000000-22000-22-2-2-2222-2-2-2222000-220000000000000002-2000
χ62444-2-24-2-2-2-21-2-21004110000-2-200001100000000-4-4-422-42222-122-100-4-1-10000220000-1-100000000
χ63444-2-24-2-2-2-21-2-2100-4110000220000-1-100000000-4-4-422-42222-122-1004-1-10000-2-200001100000000
χ6444-24-2-24-2-21-2-21-20401100-2-20000110000000000-4-42-422-422-122-120-40-1-100220000-1-10000000000
χ6544-24-2-24-2-21-2-21-20-401100220000-1-10000000000-4-42-422-422-122-12040-1-100-2-20000110000000000
χ6644-2-24-2-241-2-21-2-240011-2-2000011000000000000-4-422-422-4-122-122-400-1-1220000-1-1000000000000
χ6744-2-24-2-241-2-21-2-2-40011220000-1-1000000000000-4-422-422-4-122-122400-1-1-2-2000011000000000000
χ684-444-2-4-424-2-2-422000-2200000000000000000000-44-4-4244-2-4224-2-20002-200000000000000000000
χ694-44-24-42-4-24-22-42000-2200000000000000000000-44-42-44-242-42-24-20002-200000000000000000000
χ704-44-2-2-422-2-2122-10001-100000000003i−3i00000000-44-4224-2-222-1-2-21000-110000000000−3i3i00000000
χ714-44-2-2-422-2-2122-10001-10000000000−3i3i00000000-44-4224-2-222-1-2-21000-1100000000003i−3i00000000
χ724-4-2442-4-4-2-2422-4000-2200000000000000000000-442-4-4-24422-4-2-240002-200000000000000000000
χ734-4-24-22-42-21-22-120001-1000000003i−3i0000000000-442-42-24-22-12-21-2000-1100000000−3i3i0000000000
χ744-4-24-22-42-21-22-120001-100000000−3i3i0000000000-442-42-24-22-12-21-2000-11000000003i−3i0000000000
χ754-4-2-2422-41-2-2-1220001-10000003i−3i000000000000-4422-4-2-24-1221-2-2000-11000000−3i3i000000000000
χ764-4-2-2422-41-2-2-1220001-1000000−3i3i000000000000-4422-4-2-24-1221-2-2000-110000003i−3i000000000000
χ7788-4-4-4-4-4-4222222000-1-100000000000000000000-8-8444444-2-2-2-2-2-20001100000000000000000000
χ788-8-4-4-4444222-2-2-2000-1100000000000000000000-88444-4-4-4-2-2-22220001-100000000000000000000

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