Finite Group Databasebeta

← Group #11897668

Character table — Group #11897668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222224444444444444448888888881212121212121212121212121212161616161616161624242424242424242424242424363636363636484872
order12223344446666663466612121212121212121212441212121212121222888824242424242424241212121212121212444668812122424242444444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-11
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1
χ71111111111111111111111111111111-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111
χ9111111-1-1111111111-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11-11-111-1-1-11-1111-1-1-111-1-1111-11-11-1-1
χ10111111-1-1111111111-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-111-1-1-1-1-11-11-111
χ11111111-1-1111111111-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1-1-1111-1-111-1-1-11-111-11
χ12111111-1-1111111111-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-11-11-1-1-1111-1-111111-11-1-11-1
χ13111111-1-1111111111-11111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-11111-1-1-1-1-11-11-1-111-1-1111-11-1-1-1-11111-11-11-11-1
χ14111111-1-1111111111-11111-1-1-1-1-1-1111-11-111-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-11-111-11-1-1-1-111-1-11-11-11-11
χ15111111-1-1111111111-11111-1-1-1-1-1-1111-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1111-11-1-11-11111-1-1-1-11-11-1-111
χ16111111-1-1111111111-11111-1-1-1-1-1-1111-11-111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-1-1-11-11111-1-111-11-111-1-1
χ1722222222-2-22222222-2222-22222-2-2-2-2-200-2-2-222-2-2000000000000000000000000000000000000022-2-2000
χ1822222222-2-22222222-2222-22222-2-2-2-2-200-2-2-222-2-20000000000000000000000000000000000000-2-222000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-2002-2-2-2-22200000000000000000000000000000000000002-2-22000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-2002-2-2-2-2220000000000000000000000000000000000000-222-2000
χ2122222-1222222-1-1-12-12-1-1-1-122-1-12222-122-1-1-1-1-1-1-122000000000000-1-122-1-1-1-1200-1-122-1-1-1-1-1-1000000000
χ2222222-1222222-1-1-12-12-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-2-2000000000000-1-122-1-1-1-1-20011-2-2111111000000000
χ2322222-1222222-1-1-12-12-1-1-1-122-1-12222-1-2-2-1-1-1-1-1-1-12200000000000011-2-21111200-1-1-2-2-1-11111000000000
χ2422222-1222222-1-1-12-12-1-1-1-122-1-12222-1-2-2-1-1-1-1-1-1-1-2-200000000000011-2-21111-200112211-1-1-1-1000000000
χ2522222-1-2-22222-1-1-12-1-2-1-1-1-1-2-211-2-222-12-21-1-1111122000000000000-112-2-1-111-200-1-12-211-1-111000000000
χ2622222-1-2-22222-1-1-12-1-2-1-1-1-1-2-211-2-222-12-21-1-11111-2-2000000000000-112-2-1-11120011-22-1-111-1-1000000000
χ2722222-1-2-22222-1-1-12-1-2-1-1-1-1-2-211-2-222-1-221-1-11111220000000000001-1-2211-1-1-200-1-1-221111-1-1000000000
χ2822222-1-2-22222-1-1-12-1-2-1-1-1-1-2-211-2-222-1-221-1-11111-2-20000000000001-1-2211-1-1200112-2-1-1-1-111000000000
χ292222-122222-1-1222-1-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-122-1-1-1-1-1-10220000000000000000-1-10
χ302222-122222-1-1222-1-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-100-2-2-2-21111111122-1-1-1-1-1-10-2-20000000000000000110
χ312222-122222-1-1222-1-12-1-1-12-1-122-1-1-1-12-2-22-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-2-21111110-2-20000000000000000110
χ322222-122222-1-1222-1-12-1-1-12-1-122-1-1-1-12-2-22-1-1-1-1-1-100-2-2-2-211111111-2-21111110220000000000000000-1-10
χ332222-12-2-222-1-1222-1-1-2-1-1-1211-2-211-1-122-2-2-1-111110022-2-2-1-1-1-111112-2-11-1-11102-20000000000000000-110
χ342222-12-2-222-1-1222-1-1-2-1-1-1211-2-211-1-122-2-2-1-1111100-2-2221111-1-1-1-12-2-11-1-1110-2200000000000000001-10
χ352222-12-2-222-1-1222-1-1-2-1-1-1211-2-211-1-12-22-2-1-111110022-2-2-1-1-1-11111-221-111-1-10-2200000000000000001-10
χ362222-12-2-222-1-1222-1-1-2-1-1-1211-2-211-1-12-22-2-1-1111100-2-2221111-1-1-1-1-221-111-1-102-20000000000000000-110
χ3722-2-222002-22-22-2-2-2202-2-220000002-2-20002-200002-22-20022-2-20000000000000002-2000000002-20000000
χ3822-2-222002-22-22-2-2-2202-2-220000002-2-20002-200002-2-2200-2-2220000000000000002-200000000-220000000
χ3922-2-222002-22-22-2-2-2202-2-220000002-2-20002-20000-222-20022-2-2000000000000000-2200000000-220000000
χ4022-2-222002-22-22-2-2-2202-2-220000002-2-20002-20000-22-2200-2-222000000000000000-22000000002-20000000
χ4144444-244-4-444-2-2-24-2-4-2-2-2244-2-2-4-4-4-4200222-2-22200000000000000000000000000000000000000000000
χ4244444-2-4-4-4-444-2-2-24-24-2-2-22-4-42244-4-4200-22222-2-200000000000000000000000000000000000000000000
χ434444-2444-4-4-2-2444-2-2-4-2-2-2-4-2-2442222-400-422-2-22200000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-2-2444-2-24-2-2-2-422-4-4-2-222-40042222-2-200000000000000000000000000000000000000000000
χ454444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-244-211111100000000000000-2-2-2-211110000000000000000000000
χ464444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-4-2111111000000000000002222-1-1-1-10000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222222002-1-111-1-10000000000000000003-33-30000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222222002-1-111-1-1000000000000000000-33-330000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-24-4211-1-1-1-100000000000000-22-2211-1-10000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-2-44211-1-1-1-1000000000000002-22-2-1-1110000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-222200-2-1-1-1-1110000000000000000003-3-330000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-222200-2-1-1-1-111000000000000000000-333-30000000000000000000000
χ5344-4-44400-444-44-4-4-4404-4-4-4000000-444000-44000000000000000000000000000000000000000000000000
χ5444-4-44-2004-44-4-222-4-20-222-20000004-42000-2200004-400000000000000000000000-2200000000000000000
χ5544-4-44-2004-44-4-222-4-20-222-20000004-42000-220000-44000000000000000000000002-200000000000000000
χ5644-4-44-200-444-4-222-4-20-2222000000-44-20002-200000000000000000000000000000000023−230000000000000
χ5744-4-44-200-444-4-222-4-20-2222000000-44-20002-2000000000000000000000000000000000−23230000000000000
χ5844-4-4-24004-4-224-4-42-20-2224000000-22-4000-220000004-400-2-2220000000000000000000000000000000000
χ5944-4-4-24004-4-224-4-42-20-2224000000-22-4000-22000000-440022-2-20000000000000000000000000000000000
χ6044-4-4-2400-44-224-4-42-20-222-40000002-240002-200000000000000−2i3−2i32i32i3000000000000000000000000000000
χ6144-4-4-2400-44-224-4-42-20-222-40000002-240002-2000000000000002i32i3−2i3−2i3000000000000000000000000000000
χ624-44-4444-400-44-4-44-440-44-404-44-400000000004-40000000000000000000000000000000000000000000000
χ634-44-444-4400-44-4-44-440-44-40-44-440000000000-440000000000000000000000000000000000000000000000
χ644-44-44-24-400-4422-2-4-202-2204-4-220000000000-220000000000000000000000000000000006−66−6000000000
χ654-44-44-24-400-4422-2-4-202-2204-4-220000000000-22000000000000000000000000000000000−66−66000000000
χ664-44-44-2-4400-4422-2-4-202-220-442-200000000002-20000000000000000000000000000000006−6−66000000000
χ674-44-44-2-4400-4422-2-4-202-220-442-200000000002-2000000000000000000000000000000000−666−6000000000
χ684-44-4-244-4002-2-4-442-202-220-224-40000000000-2200000000i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000
χ694-44-4-244-4002-2-4-442-202-220-224-40000000000-2200000000−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000
χ704-44-4-24-44002-2-4-442-202-2202-2-4400000000002-200000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000
χ714-44-4-24-44002-2-4-442-202-2202-2-4400000000002-200000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000
χ724-4-44440000-4-4-44-4440-4-440000000000000000000000022−22000022−22−2222000000000000000000000000000000
χ734-4-44440000-4-4-44-4440-4-4400000000000000000000000−22220000−222222−22000000000000000000000000000000
χ744-4-44-24000022-44-4-2-2022-200000−2i32i30000000000−2i32i3000022−22i6−i6−i6i6−222−2000000000000000000000000000000
χ754-4-44-24000022-44-4-2-2022-200000−2i32i30000000000−2i32i30000−2222−i6i6i6−i62−2−22000000000000000000000000000000
χ764-4-44-24000022-44-4-2-2022-2000002i3−2i300000000002i3−2i3000022−22−i6i6i6−i6−222−2000000000000000000000000000000
χ774-4-44-24000022-44-4-2-2022-2000002i3−2i300000000002i3−2i30000−2222i6−i6−i6i62−2−22000000000000000000000000000000
χ7888-8-8-4-4008-8-44-4444202-2-2-4000000-4440002-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-88-44-4444202-2-240000004-4-4000-22000000000000000000000000000000000000000000000000
χ808-88-8-4-48-8004-444-4420-22-20-44-4400000000002-20000000000000000000000000000000000000000000000
χ818-88-8-4-4-88004-444-4420-22-204-44-40000000000-220000000000000000000000000000000000000000000000
χ828-8-888-40000-8-84-448-4044-4000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40000444-44-420-2-2200000−4i34i300000000002i3−2i300000000000000000000000000000000000000000000
χ848-8-88-4-40000444-44-420-2-22000004i3−4i30000000000−2i32i300000000000000000000000000000000000000000000

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