Finite Group Databasebeta

← Group #11790852

Character table — Group #11790852

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order122222443346666666666661212121212121212222244224444441212121212121212444444444661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-11-11-111-1-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-111111-11-1
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-11111-11-11
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-11-1-11i−ii−iii−i−iii−i−i1ii−i−iii−i−i1-1-11
χ101111-1-11111-111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-11-1-11−ii−ii−i−iii−i−iii1−i−iii−i−iii1-1-11
χ111111-1-11111-111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-111-1i−ii−iii−i−iii−i−i1−i−iii−i−iii-111-1
χ121111-1-11111-111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-111-1−ii−ii−i−iii−i−iii1ii−i−iii−i−i-111-1
χ131111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1111111-1-11111-1-1i−i−iiii−i−i−i−iii-1ii−i−i−i−iii11-1-1
χ141111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1111111-1-11111-1-1−iii−i−i−iiiii−i−i-1−i−iiiii−i−i11-1-1
χ151111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1111111-1-111-1-111i−i−iiii−i−i−i−iii-1−i−iiiii−i−i-1-111
χ161111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1111111-1-111-1-111−iii−i−i−iiiii−i−i-1ii−i−i−i−iii-1-111
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000002000000000000
χ192222-2-22222-222-2-2222-2-22-2-22222-2-2-2-2-2-222220000000000000000-2000000000000
χ202222-2-2-2-222222-2-2222-2-22-2-2-2-2-2-22222-2-222-2-200000000000000002000000000000
χ212-22-22-2002202-222-2-2-2-2-222-2000000002-22-2000000000000000000000002i−2i2i−2i0000
χ222-22-22-2002202-222-2-2-2-2-222-2000000002-22-200000000000000000000000−2i2i−2i2i0000
χ232-22-22-2002202-222-2-2-2-2-222-200000000-22-2200000000000000000002i−2i2i−2i00000000
χ242-22-22-2002202-222-2-2-2-2-222-200000000-22-220000000000000000000−2i2i−2i2i00000000
χ252-22-2-22002202-2-2-2-2-2-2222-22000000002-2-22000000000000000000000002-2-220000
χ262-22-2-22002202-2-2-2-2-2-2222-22000000002-2-2200000000000000000000000-222-20000
χ272-22-2-22002202-2-2-2-2-2-2222-2200000000-222-200000000000000000002-2-2200000000
χ282-22-2-22002202-2-2-2-2-2-2222-2200000000-222-20000000000000000000-222-200000000
χ29444444441-241111-21-211-2-2-211-2-211-2-200000000002222-1-1-1-1-1-1-1-10000000000000
χ30444444441-241111-21-211-2-2-211-2-211-2-20000000000-2-2-2-2111111110000000000000
χ3144444444-214-2-2-2-21-21-2-2111-2-211-2-2110000002222000000000000000000000-1-1-1-1
χ3244444444-214-2-2-2-21-21-2-2111-2-211-2-211000000-2-2-2-20000000000000000000001111
χ33444444-4-41-2-41111-21-211-2-2-2-1-122-1-122000000000022-2-2-1-1-1-111110000000000000
χ34444444-4-41-2-41111-21-211-2-2-2-1-122-1-1220000000000-2-2221111-1-1-1-10000000000000
χ35444444-4-4-21-4-2-2-2-21-21-2-211122-1-122-1-10000002-22-2000000000000000000000-11-11
χ36444444-4-4-21-4-2-2-2-21-21-2-211122-1-122-1-1000000-22-220000000000000000000001-11-1
χ374444-4-4441-2-411-1-1-21-2-1-1-22211-2-2-1-12200000000002i−2i2i−2i−i−iii−i−iii0000000000000
χ384444-4-4441-2-411-1-1-21-2-1-1-22211-2-2-1-1220000000000−2i2i−2i2iii−i−iii−i−i0000000000000
χ394444-4-444-21-4-2-2221-21221-1-1-2-21122-1-10000002-2-22000000000000000000000-111-1
χ404444-4-444-21-4-2-2221-21221-1-1-2-21122-1-1000000-222-20000000000000000000001-1-11
χ414444-4-4-4-41-2411-1-1-21-2-1-1-222-1-12211-2-200000000002i−2i−2i2i−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-2411-1-1-21-2-1-1-222-1-12211-2-20000000000−2i2i2i−2iii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-2-2221-21221-1-122-1-1-2-21100000022-2-2000000000000000000000-1-111
χ444444-4-4-4-4-214-2-2221-21221-1-122-1-1-2-211000000-2-22200000000000000000000011-1-1
χ4544-4-4004i−4i1-20-113-3-2-123-3200i−i2i−2i3i−3i0000000000000000−i3i3−i3i33−33−30000000000000
χ4644-4-4004i−4i1-20-113-3-2-123-3200i−i2i−2i3i−3i0000000000000000i3−i3i3−i3−33−330000000000000
χ4744-4-4004i−4i1-20-11-33-2-12-33200i−i2i−2i−3i3i00000000000000003−3−33i3−i3−i3i30000000000000
χ4844-4-4004i−4i1-20-11-33-2-12-33200i−i2i−2i−3i3i0000000000000000−333−3−i3i3i3−i30000000000000
χ4944-4-4004i−4i440-44004-4-400-4004i−4i−4i4i000000000000000000000000000000000000000
χ5044-4-400−4i4i1-20-113-3-2-123-3200−ii−2i2i−3i3i0000000000000000−i3i3−i3i3−33−330000000000000
χ5144-4-400−4i4i1-20-113-3-2-123-3200−ii−2i2i−3i3i0000000000000000i3−i3i3−i33−33−30000000000000
χ5244-4-400−4i4i1-20-11-33-2-12-33200−ii−2i2i3i−3i00000000000000003−3−33−i3i3i3−i30000000000000
χ5344-4-400−4i4i1-20-11-33-2-12-33200−ii−2i2i3i−3i0000000000000000−333−3i3−i3−i3i30000000000000
χ5444-4-400−4i4i440-44004-4-400-400−4i4i4i−4i000000000000000000000000000000000000000
χ554-4-440000440-4-400-44400-4000000000000004-400000000000000000000000000000
χ564-4-440000440-4-400-44400-400000000000000-4400000000000000000000000000000
χ5788-8-8008i−8i-4204-40024-200-200−4i4i−2i2i000000000000000000000000000000000000000
χ5888-8-800−8i8i-4204-40024-200-2004i−4i2i−2i000000000000000000000000000000000000000
χ598-88-88-8002-402-2224-24-2-2-4-440000000000000000000000000000000000000000000
χ608-88-88-800-420-44-4-4-24-24422-20000000000000000000000000000000000000000000
χ618-88-8-88002-402-2-2-24-2422-44-40000000000000000000000000000000000000000000
χ628-88-8-8800-420-4444-24-2-4-42-220000000000000000000000000000000000000000000
χ638-8-8800002-40-2-26-642-4-664000000000000000000000000000000000000000000000
χ648-8-8800002-40-2-2-6642-46-64000000000000000000000000000000000000000000000
χ658-8-880000-4204400-2-4200-2000000006-600000000000000000000000000000000000
χ668-8-880000-4204400-2-4200-200000000-6600000000000000000000000000000000000

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