Finite Group Databasebeta

← Group #14514867

Character table — Group #14514867

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size110152020243011015202024302203040404860220304040486022030404048604406080809612044060808096120
order122365422266104444121220488824244088882424408222661044441212204
χ11111111111111111111111111111111111111111111111111
χ21-111-11-11-111-11-11-111-11-11-111-11-11-111-11-11-111-11-11-111-11-1
χ34201-1-104201-1-104201-1-104201-1-104201-1-104201-1-104201-1-10
χ44-2011-104-2011-104-2011-104-2011-104-2011-104-2011-104-2011-10
χ5511-110-1511-110-1511-110-1511-110-1511-110-1511-110-1511-110-1
χ65-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-101
χ760-2001060-2001060-2001060-2001060-2001060-2001060-20010
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ91-111-11-11-111-11-11-111-11-11-111-11-11-111-11-1-11-1-11-11-11-1-11-11
χ104201-1-104201-1-104201-1-104201-1-104201-1-10-4-20-1110-4-20-1110
χ114-2011-104-2011-104-2011-104-2011-104-2011-10-420-1-110-420-1-110
χ12511-110-1511-110-1511-110-1511-110-1511-110-1-5-1-11-101-5-1-11-101
χ135-11-1-1015-11-1-1015-11-1-1015-11-1-1015-11-1-101-51-1110-1-51-1110-1
χ1460-2001060-2001060-2001060-2001060-20010-60200-10-60200-10
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ161-111-11-11-111-11-11-111-11-1-11-1-11-11-11-1-11-111-111-11-1-11-1-11-11
χ174201-1-104201-1-104201-1-10-4-20-1110-4-20-11104201-1-10-4-20-1110
χ184-2011-104-2011-104-2011-10-420-1-110-420-1-1104-2011-10-420-1-110
χ19511-110-1511-110-1511-110-1-5-1-11-101-5-1-11-101511-110-1-5-1-11-101
χ205-11-1-1015-11-1-1015-11-1-101-51-1110-1-51-1110-15-11-1-101-51-1110-1
χ2160-2001060-2001060-20010-60200-10-60200-1060-20010-60200-10
χ22111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ231-111-11-11-111-11-11-111-11-1-11-1-11-11-11-1-11-11-11-1-11-111-111-11-1
χ244201-1-104201-1-104201-1-10-4-20-1110-4-20-1110-4-20-11104201-1-10
χ254-2011-104-2011-104-2011-10-420-1-110-420-1-110-420-1-1104-2011-10
χ26511-110-1511-110-1511-110-1-5-1-11-101-5-1-11-101-5-1-11-101511-110-1
χ275-11-1-1015-11-1-1015-11-1-101-51-1110-1-51-1110-1-51-1110-15-11-1-101
χ2860-2001060-2001060-20010-60200-10-60200-10-60200-1060-20010
χ2922222222222222-2-2-2-2-2-2-20000000000000000000000000000
χ302-222-22-22-222-22-2-22-2-22-220000000000000000000000000000
χ318402-2-208402-2-20-8-40-22200000000000000000000000000000
χ328-4022-208-4022-20-840-2-2200000000000000000000000000000
χ331022-220-21022-220-2-10-2-22-2020000000000000000000000000000
χ3410-22-2-20210-22-2-202-102-2220-20000000000000000000000000000
χ35120-40020120-40020-120400-200000000000000000000000000000
χ362222222-2-2-2-2-2-2-20000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i200000000000000
χ372-222-22-2-22-2-22-220000000i2−i2i2i2−i2i2−i2−i2i2−i2−i2i2−i2i200000000000000
χ388402-2-20-8-40-222000000004i22i20i2−i2−i20−4i2−2i20−i2i2i2000000000000000
χ398-4022-20-840-2-22000000004i2−2i20i2i2−i20−4i22i20−i2−i2i2000000000000000
χ401022-220-2-10-2-22-20200000005i2i2i2−i2i20−i2−5i2−i2−i2i2−i20i200000000000000
χ4110-22-2-202-102-2220-200000005i2−i2i2−i2−i20i2−5i2i2−i2i2i20−i200000000000000
χ42120-40020-120400-2000000006i20−2i200i20−6i202i200−i2000000000000000
χ432222222-2-2-2-2-2-2-20000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i200000000000000
χ442-222-22-2-22-2-22-220000000−i2i2−i2−i2i2−i2i2i2−i2i2i2−i2i2−i200000000000000
χ458402-2-20-8-40-22200000000−4i2−2i20−i2i2i204i22i20i2−i2−i2000000000000000
χ468-4022-20-840-2-2200000000−4i22i20−i2−i2i204i2−2i20i2i2−i2000000000000000
χ471022-220-2-10-2-22-2020000000−5i2−i2−i2i2−i20i25i2i2i2−i2i20−i200000000000000
χ4810-22-2-202-102-2220-20000000−5i2i2−i2i2i20−i25i2−i2i2−i2−i20i200000000000000
χ49120-40020-120400-200000000−6i202i200−i206i20−2i200i2000000000000000

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