Finite Group Databasebeta

← Group #11878577

Character table — Group #11878577

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444444444488888888888888888888888888242424242424242436363636363636364848484848484848
order1222334466666623466612121212121212126666881212121224242424242424242424242424242424224444442244888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-11-11-11-11-1
χ611111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1-111111-11-1-11-11
χ711111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-11111-11-111-11-1
χ811111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111111-1-1-1-1-11-11-11-11
χ911111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1-111-11-111-1-111-1-11-1-11
χ1011111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-11-11-1-11111-1-1-111-1
χ1111111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-11-11-1-111-1-1111-1-11
χ1211111111111111-11-111111111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11-11-111-1-1-1-111-111-1
χ1311111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-11-11-1-1-1111-1-1111-1-1
χ1411111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-11-1111-1-11-1-11-1-111
χ1511111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-11-1111-1-1-111-111-1-1
χ1611111111111111-11-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1111-11-1-1-111-111-1-1-111
χ17222222-2-222222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-20000000000000000000000002-2-22000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-2000000000000000000000000-222-2000000000000
χ19222222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2-2-200222200000000000000000000000022-2-2000000000000
χ20222222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2-2-2002222000000000000000000000000-2-222000000000000
χ2122222-122-122-1-122-12-1-1-1-12-1-1-12-1-12-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000000000-1-1-1-10000
χ2222222-122-122-1-122-12-1-1-1-12-1-1-12-1-12-1-1-122-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000000011110000
χ2322222-122-122-1-122-12-1-1-1-12-1-1-12-1-12-1-1-1-2-2-12-1-1-2-2111111-2-21111112-22-2000000000000-11-110000
χ2422222-122-122-1-122-12-1-1-1-12-1-1-12-1-12-1-1-1-2-2-12-1-1-2-2111111-2-2111111-22-220000000000001-11-10000
χ2522222-122-122-1-12-2-1-2-1-1-1-12-1-1-12-1-1-21112-21-21122-1-1-1-1-1-1-2-211111122-2-2000000000000-1-1110000
χ2622222-122-122-1-12-2-1-2-1-1-1-12-1-1-12-1-1-21112-21-21122-1-1-1-1-1-1-2-2111111-2-22200000000000011-1-10000
χ2722222-122-122-1-12-2-1-2-1-1-1-12-1-1-12-1-1-2111-221-211-2-211111122-1-1-1-1-1-12-2-22000000000000-111-10000
χ2822222-122-122-1-12-2-1-2-1-1-1-12-1-1-12-1-1-2111-221-211-2-211111122-1-1-1-1-1-1-222-20000000000001-1-110000
χ292222-12222-1-122-12-12-1-1-12-1-1-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000000000-1-1-1-1
χ302222-12222-1-122-12-12-1-1-12-1-1-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000000001111
χ312222-12222-1-122-12-12-1-1-12-1-1-12-1-1-1-12-1-1-2-22-1-1-111-2-2111111-2-2111100002-22-2000000000000-11-11
χ322222-12222-1-122-12-12-1-1-12-1-1-12-1-1-1-12-1-1-2-22-1-1-111-2-2111111-2-211110000-22-220000000000001-11-1
χ332222-12222-1-122-1-2-1-2-1-1-12-1-1-12-1-1-11-2112-2-2111-1-122-1-1-1-111-2-2111100002-2-22000000000000-111-1
χ342222-12222-1-122-1-2-1-2-1-1-12-1-1-12-1-1-11-2112-2-2111-1-122-1-1-1-111-2-211110000-222-20000000000001-1-11
χ352222-12222-1-122-1-2-1-2-1-1-12-1-1-12-1-1-11-211-22-211111-2-21111-1-122-1-1-1-1000022-2-2000000000000-1-111
χ362222-12222-1-122-1-2-1-2-1-1-12-1-1-12-1-1-11-211-22-211111-2-21111-1-122-1-1-1-10000-2-22200000000000011-1-1
χ3744444-2-4-4-244-2-244-2-4-2-2-22-4222-4224-2-2-2002-4220000000000000000000000000000000000000000
χ3844444-2-4-4-244-2-24-4-24-2-2-22-4222-422-422200-24-2-20000000000000000000000000000000000000000
χ394444-24-4-44-2-244-24-2-4-2-2-2-4222-4222-24-2-200-42220000000000000000000000000000000000000000
χ404444-24-4-44-2-244-2-4-24-2-2-2-4222-42222-422004-2-2-20000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414111-2-211-2-211-2-21144-2-211-2-2-2-21111-2-2-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414111-2-211-2-211-2-211-4-4-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-4111-2-211-2-21122-1-14-422-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-4111-2-211-2-21122-1-1-4422-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-411122-1-122-1-1-2-2110022-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-411122-1-122-1-1-2-2110022-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-41411122-1-122-1-122-1-100-2-21100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41411122-1-122-1-122-1-100-2-2110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000
χ4944-4-44400-44-44-4-40404-4-4000000000000000000000000000000000000000000000000−2i22i200000000
χ5044-4-44400-44-44-4-40404-4-40000000000000000000000000000000000000000000000002i2−2i200000000
χ514-44-44400-4-44-44-4040-44-40000000000000000000000000000000000000000000000−2i22i20000000000
χ524-44-44400-4-44-44-4040-44-400000000000000000000000000000000000000000000002i2−2i20000000000
χ534-4-44444-44-4-4-4-44040-4-44-4-4-4-4444400000000000000000000000000000000000000000000000000
χ544-4-4444-444-4-4-4-44040-4-444444-4-4-4-400000000000000000000000000000000000000000000000000
χ554-4-444-24-4-2-4-42240-2022-22-422-24-2-2000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000
χ564-4-444-24-4-2-4-42240-2022-22-422-24-2-20000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000
χ574-4-444-2-44-2-4-42240-2022-2-24-2-22-4220000000000000000000023−2323−2323−23000000000000000000000000
χ584-4-444-2-44-2-4-42240-2022-2-24-2-22-42200000000000000000000−2323−2323−2323000000000000000000000000
χ594-4-44-244-4422-4-4-20-2022-2-42224-2-2-2000000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000
χ604-4-44-244-4422-4-4-20-2022-2-42224-2-2-20000000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000
χ614-4-44-24-44422-4-4-20-2022-24-2-2-2-4222000000000023−230023−23−232300000000000000000000000000000000
χ624-4-44-24-44422-4-4-20-2022-24-2-2-2-42220000000000−232300−232323−2300000000000000000000000000000000
χ634-4-44-2-24-4-22222-2010-1-1122-1-1-2-211003-300003-300−2i32i3i3−i3i3−i3−2i32i300i3−i3−i3i3000000000000000000000000
χ644-4-44-2-24-4-22222-2010-1-1122-1-1-2-211003-300003-3002i3−2i3−i3i3−i3i32i3−2i300−i3i3i3−i3000000000000000000000000
χ654-4-44-2-24-4-22222-2010-1-1122-1-1-2-21100-330000-3300−2i32i3i3−i3i3−i32i3−2i300−i3i3i3−i3000000000000000000000000
χ664-4-44-2-24-4-22222-2010-1-1122-1-1-2-21100-330000-33002i3−2i3−i3i3−i3i3−2i32i300i3−i3−i3i3000000000000000000000000
χ674-4-44-2-2-44-22222-2010-1-11-2-21122-1-1003-30000-3323−2300−333−30023−23−33−33000000000000000000000000
χ684-4-44-2-2-44-22222-2010-1-11-2-21122-1-1003-30000-33−2323003−3−3300−23233−33−3000000000000000000000000
χ694-4-44-2-2-44-22222-2010-1-11-2-21122-1-100-3300003-323−2300−333−300−23233−33−3000000000000000000000000
χ704-4-44-2-2-44-22222-2010-1-11-2-21122-1-100-3300003-3−2323003−3−330023−23−33−33000000000000000000000000
χ7188-8-88-40048-8-44-80-40-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-8-448-840-40-4440000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-44-4440202-2-2006i−6i006i−6i00000000000000000000000000000000000000000000000000
χ7488-8-8-4-4004-44-4440202-2-200−6i6i00−6i6i00000000000000000000000000000000000000000000000000
χ758-88-88-4004-884-4-80-404-440000000000000000000000000000000000000000000000000000000000
χ768-88-8-4800-84-4-8840-404-440000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-44-44020-22-2006i−6i00−6i6i00000000000000000000000000000000000000000000000000
χ788-88-8-4-40044-44-44020-22-200−6i6i006i−6i00000000000000000000000000000000000000000000000000

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