Finite Group Databasebeta

← Group #11868067

Character table — Group #11868067

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order124424233466121212126612126612122244888822448888242424242424242424888888661212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-1-1-11-11-1
χ41111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-11-11
χ5111111-111-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ6111111-111-11111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ7111111-111-11111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-111111-11-1
χ8111111-111-11111111111-1-1-1-11111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ911-1-1-11111-111-1-1-1-1-1-11111-1-11-1-1111-1-111-1-11-11-111-1-111-1-1-111-111-1-111-1-1
χ1011-1-1-11111-111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111-11-11-1-111-1-111-111-111-1-1-1-111
χ1111-1-1-11111-111-1-1-1-1-1-11111-1-11-1-11-1-1111-1-111-1-1111-1-1-1-111-11-11-1-1111-1-11
χ1211-1-1-11111-111-1-1-1-1-1-11111-1-11-1-11-1-111-111-1-111-1-1-11111-1-1-11-11-1-111-111-1
χ1311-1-1-11-111111-1-1-1-1-1-111-1-1111-1-1111-1-111-1-1-11-11-1-111-1-1111-11-1-1-11111-1-1
χ1411-1-1-11-111111-1-1-1-1-1-111-1-1111-1-1111-1-1-1-1111-11-111-1-111-1-11-11-1-1-111-1-111
χ1511-1-1-11-111111-1-1-1-1-1-111-1-1111-1-11-1-1111-1-11-111-1-1-11111-1-11-1-1111-1-11-1-11
χ1611-1-1-11-111111-1-1-1-1-1-111-1-1111-1-11-1-111-111-11-1-1111-1-1-1-1111-1-1111-1-1-111-1
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ18222222-222-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-20220222222-2-2-2-200002-22-20000000000000000000000002i−2i2i−2i0000
χ202222-2-20220222222-2-2-2-200002-22-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-20220222222-2-2-2-20000-22-222222000000000000000000-2-200000000
χ222222-2-20220222222-2-2-2-20000-22-22-2-2-2-20000000000000000002200000000
χ2322-2-22-2022022-2-2-2-222-2-2000022-2-20000000000000000000000002i−2i−2i2i0000
χ2422-2-22-2022022-2-2-2-222-2-2000022-2-2000000000000000000000000−2i2i2i−2i0000
χ2522-2-22-2022022-2-2-2-222-2-20000-2-22222-2-2000000000000000000-2200000000
χ2622-2-22-2022022-2-2-2-222-2-20000-2-222-2-2220000000000000000002-200000000
χ2722-2-2-22222-222-2-2-2-2-2-22222-2-2-222-2000000000000000000002-20000000000
χ2822-2-2-22-222222-2-2-2-2-2-222-2-222-222-200000000000000000000-220000000000
χ2944444441-241-211-2-21-21-21-21-200000000020200220000-1-1-1-1000000000-10-1
χ3044444441-241-211-2-21-21-21-21-2000000000-20-200-2-200001111000000000101
χ314444444-214-21-2-211-21-21-21-210000000020202200-1-1-1-1000000000000-10-10
χ324444444-214-21-2-211-21-21-21-2100000000-20-20-2-20011110000000000001010
χ33444444-41-2-41-211-2-21-21-2-12-1200000000020200-2-200001111000000000-10-1
χ34444444-41-2-41-211-2-21-21-2-12-12000000000-20-200220000-1-1-1-1000000000101
χ35444444-4-21-4-21-2-211-21-212-12-1000000002020-2-2001111000000000000-10-10
χ36444444-4-21-4-21-2-211-21-212-12-100000000-20-202200-1-1-1-10000000000001010
χ3744-4-4-4441-2-41-2-1-122-121-21-2-1200000000020-2002-20000-1-111000000000-101
χ3844-4-4-4441-2-41-2-1-122-121-21-2-12000000000-20200-22000011-1-100000000010-1
χ3944-4-4-444-21-4-2122-1-12-1-21-212-10000000020-202-200-1-111000000000000-1010
χ4044-4-4-444-21-4-2122-1-12-1-21-212-100000000-2020-220011-1-100000000000010-10
χ4144-4-4-44-41-241-2-1-122-121-2-121-200000000020-200-22000011-1-1000000000-101
χ4244-4-4-44-41-241-2-1-122-121-2-121-2000000000-202002-20000-1-11100000000010-1
χ4344-4-4-44-4-214-2122-1-12-1-212-1-210000000020-20-220011-1-1000000000000-1010
χ4444-4-4-44-4-214-2122-1-12-1-212-1-2100000000-20202-200-1-11100000000000010-10
χ454-44i−4i000440-4-44i−4i4i−4i00000000000022−22−2i22i20000000000000000000000000000
χ464-44i−4i000440-4-44i−4i4i−4i000000000000−22222i2−2i20000000000000000000000000000
χ474-4−4i4i000440-4-4−4i4i−4i4i00000000000022−222i2−2i20000000000000000000000000000
χ484-4−4i4i000440-4-4−4i4i−4i4i000000000000−2222−2i22i20000000000000000000000000000
χ498888-8-802-402-422-4-4-24-240000000000000000000000000000000000000000
χ508888-8-80-420-42-4-4224-24-20000000000000000000000000000000000000000
χ5188-8-88-802-402-4-2-2442-4-240000000000000000000000000000000000000000
χ5288-8-88-80-420-4244-2-2-424-20000000000000000000000000000000000000000
χ538-88i−8i0002-40-242i−2i−4i4i0000000000000000000000000000i6−i66−6000000000000
χ548-88i−8i0002-40-242i−2i−4i4i0000000000000000000000000000−i6i6−66000000000000
χ558-88i−8i000-4204-2−4i4i2i−2i000000000000000000000000i6−i66−60000000000000000
χ568-88i−8i000-4204-2−4i4i2i−2i000000000000000000000000−i6i6−660000000000000000
χ578-8−8i8i0002-40-24−2i2i4i−4i0000000000000000000000000000i6−i6−66000000000000
χ588-8−8i8i0002-40-24−2i2i4i−4i0000000000000000000000000000−i6i66−6000000000000
χ598-8−8i8i000-4204-24i−4i−2i2i000000000000000000000000i6−i6−660000000000000000
χ608-8−8i8i000-4204-24i−4i−2i2i000000000000000000000000−i6i66−60000000000000000

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