Finite Group Databasebeta

← Group #11922091

Character table — Group #11922091

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222266668888121212121212121216161616242424242424243636367211112222666688881212121212121212161616162424242424242436363672
order122236664444366688121224242424366641212121212124884222266664444666688121224242424666641212121212124884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-11111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-1
χ3111111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ5222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000
χ6222222222-2-22-1-1-1-100220000-1-1-1-10001111-2000222222222-2-22-1-1-1-100220000-1-1-1-10001111-2000
χ72222-1-1-1-12002222222-1-1-1-1-1-1-1-1-1-12-1-1000000002222-1-1-1-12002222222-1-1-1-1-1-1-1-1-1-12-1-100000000
χ82222-1-1-1-120022222-2-2-1-11111-1-1-1-1-211000000002222-1-1-1-120022222-2-2-1-11111-1-1-1-1-21100000000
χ922-2-22-22-2200-222-2-2002-2000022-2-20000000000022-2-22-22-2200-222-2-2002-2000022-2-200000000000
χ1022-2-22-22-2200-2-1-111002-20000-1-11100033−3−3000022-2-22-22-2200-2-1-111002-20000-1-11100033−3−30000
χ1122-2-22-22-2200-2-1-111002-20000-1-111000−3−333000022-2-22-22-2200-2-1-111002-20000-1-111000−3−3330000
χ1222-2-2-11-11200-222-2-200-1133−3−3-1-11103−30000000022-2-2-11-11200-222-2-200-1133−3−3-1-11103−300000000
χ1322-2-2-11-11200-222-2-200-11−3−333-1-1110−330000000022-2-2-11-11200-222-2-200-11−3−333-1-1110−3300000000
χ142-2-2222-2-202i−2i0-11-112−2002−22−2-111-1000i−ii−i0−i2i202-2-2222-2-202i−2i0-11-112−2002−22−2-111-1000i−ii−i0−i2i20
χ152-2-2222-2-202i−2i0-11-11−2200−22−22-111-1000i−ii−i0i2−i202-2-2222-2-202i−2i0-11-11−2200−22−22-111-1000i−ii−i0i2−i20
χ162-2-2222-2-20−2i2i0-11-112−2002−22−2-111-1000−ii−ii0i2−i202-2-2222-2-20−2i2i0-11-112−2002−22−2-111-1000−ii−ii0i2−i20
χ172-2-2222-2-20−2i2i0-11-11−2200−22−22-111-1000−ii−ii0−i2i202-2-2222-2-20−2i2i0-11-11−2200−22−22-111-1000−ii−ii0−i2i20
χ1833333333-133-1000011-1-111110000-1-1-10000-111-133333333-133-1000011-1-111110000-1-1-10000-111-1
χ1933333333-133-10000-1-1-1-1-1-1-1-100001110000-1-1-1133333333-133-10000-1-1-1-1-1-1-1-100001110000-1-1-11
χ2033333333-1-3-3-1000011-1-111110000-1-1-100001-1-1133333333-1-3-3-1000011-1-111110000-1-1-100001-1-11
χ2133333333-1-3-3-10000-1-1-1-1-1-1-1-100001110000111-133333333-1-3-3-10000-1-1-1-1-1-1-1-100001110000111-1
χ224444-2-2-2-24004-2-2-2-200-2-200001111000000000004444-2-2-2-24004-2-2-2-200-2-20000111100000000000
χ2344-4-4-22-22400-4-2-22200-22000011-1-10000000000044-4-4-22-22400-4-2-22200-22000011-1-100000000000
χ244-44-44-4-4400001-1-11000000001-11-1000−i3i3i3−i300004-44-44-4-4400001-1-11000000001-11-1000−i3i3i3−i30000
χ254-44-44-4-4400001-1-11000000001-11-1000i3−i3−i3i300004-44-44-4-4400001-1-11000000001-11-1000i3−i3−i3i30000
χ264-44-44-4-440000-222-200000000-22-22000000000004-44-44-4-440000-222-200000000-22-2200000000000
χ274-44-4-222-20000-222-200006−6−661-11-1000000000004-44-4-222-20000-222-200006−6−661-11-100000000000
χ284-44-4-222-20000-222-20000−666−61-11-1000000000004-44-4-222-20000-222-20000−666−61-11-100000000000
χ294-4-4444-4-404i−4i01-11-1000000001-1-11000−ii−ii00004-4-4444-4-404i−4i01-11-1000000001-1-11000−ii−ii0000
χ304-4-4444-4-40−4i4i01-11-1000000001-1-11000i−ii−i00004-4-4444-4-40−4i4i01-11-1000000001-1-11000i−ii−i0000
χ314-4-44-2-2220000-22-2222−2200−22−221-1-11000000000004-4-44-2-2220000-22-2222−2200−22−221-1-1100000000000
χ324-4-44-2-2220000-22-22−2222002−22−21-1-11000000000004-4-44-2-2220000-22-22−2222002−22−21-1-1100000000000
χ336666-3-3-3-3-200-200002211-1-1-1-10000-211000000006666-3-3-3-3-200-200002211-1-1-1-10000-21100000000
χ346666-3-3-3-3-200-20000-2-211111100002-1-1000000006666-3-3-3-3-200-20000-2-211111100002-1-100000000
χ3566-6-66-66-6-2002000000-22000000000000000000066-6-66-66-6-2002000000-220000000000000000000
χ3666-6-6-33-33-20020000001-133−3−300000−330000000066-6-6-33-33-20020000001-133−3−300000−3300000000
χ3766-6-6-33-33-20020000001-1−3−333000003−30000000066-6-6-33-33-20020000001-1−3−333000003−300000000
χ388-88-8-444-400002-2-2200000000-11-11000000000008-88-8-444-400002-2-2200000000-11-1100000000000
χ398-8-88-4-44400002-22-200000000-111-1000000000008-8-88-4-44400002-22-200000000-111-100000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1-111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1111
χ42111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ43111111111-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1
χ44222222222222-1-1-1-100220000-1-1-1-1000-1-1-1-12000-2-2-2-2-2-2-2-2-2-2-2-2111100-2-2000011110001111-2000
χ45222222222-2-22-1-1-1-100220000-1-1-1-10001111-2000-2-2-2-2-2-2-2-2-222-2111100-2-200001111000-1-1-1-12000
χ462222-1-1-1-12002222222-1-1-1-1-1-1-1-1-1-12-1-100000000-2-2-2-21111-200-2-2-2-2-2-2-21111111111-21100000000
χ472222-1-1-1-120022222-2-2-1-11111-1-1-1-1-21100000000-2-2-2-21111-200-2-2-2-2-22211-1-1-1-111112-1-100000000
χ4822-2-22-22-2200-222-2-2002-2000022-2-200000000000-2-222-22-22-2002-2-22200-220000-2-22200000000000
χ4922-2-22-22-2200-2-1-111002-20000-1-11100033−3−30000-2-222-22-22-200211-1-100-22000011-1-1000−3−3330000
χ5022-2-22-22-2200-2-1-111002-20000-1-111000−3−3330000-2-222-22-22-200211-1-100-22000011-1-100033−3−30000
χ5122-2-2-11-11200-222-2-200-1133−3−3-1-11103−300000000-2-2221-11-1-2002-2-222001-1−3−33311-1-10−3300000000
χ5222-2-2-11-11200-222-2-200-11−3−333-1-1110−3300000000-2-2221-11-1-2002-2-222001-133−3−311-1-103−300000000
χ532-2-2222-2-202i−2i0-11-112−2002−22−2-111-1000i−ii−i0−i2i20-222-2-2-2220−2i2i01-11-1−2200−22−221-1-11000−ii−ii0i2−i20
χ542-2-2222-2-202i−2i0-11-11−2200−22−22-111-1000i−ii−i0i2−i20-222-2-2-2220−2i2i01-11-12−2002−22−21-1-11000−ii−ii0−i2i20
χ552-2-2222-2-20−2i2i0-11-112−2002−22−2-111-1000−ii−ii0i2−i20-222-2-2-22202i−2i01-11-1−2200−22−221-1-11000i−ii−i0−i2i20
χ562-2-2222-2-20−2i2i0-11-11−2200−22−22-111-1000−ii−ii0−i2i20-222-2-2-22202i−2i01-11-12−2002−22−21-1-11000i−ii−i0i2−i20
χ5733333333-133-1000011-1-111110000-1-1-10000-111-1-3-3-3-3-3-3-3-31-3-310000-1-111-1-1-1-1000011100001-1-11
χ5833333333-133-10000-1-1-1-1-1-1-1-100001110000-1-1-11-3-3-3-3-3-3-3-31-3-310000111111110000-1-1-10000111-1
χ5933333333-1-3-3-1000011-1-111110000-1-1-100001-1-11-3-3-3-3-3-3-3-313310000-1-111-1-1-1-100001110000-111-1
χ6033333333-1-3-3-10000-1-1-1-1-1-1-1-100001110000111-1-3-3-3-3-3-3-3-313310000111111110000-1-1-10000-1-1-11
χ614444-2-2-2-24004-2-2-2-200-2-20000111100000000000-4-4-4-42222-400-4222200220000-1-1-1-100000000000
χ6244-4-4-22-22400-4-2-22200-22000011-1-100000000000-4-4442-22-2-400422-2-2002-20000-1-11100000000000
χ634-44-44-4-4400001-1-11000000001-11-1000−i3i3i3−i30000-44-44-444-40000-111-100000000-11-11000i3−i3−i3i30000
χ644-44-44-4-4400001-1-11000000001-11-1000i3−i3−i3i30000-44-44-444-40000-111-100000000-11-11000−i3i3i3−i30000
χ654-44-44-4-440000-222-200000000-22-2200000000000-44-44-444-400002-2-22000000002-22-200000000000
χ664-44-4-222-20000-222-200006−6−661-11-100000000000-44-442-2-2200002-2-220000−666−6-11-1100000000000
χ674-44-4-222-20000-222-20000−666−61-11-100000000000-44-442-2-2200002-2-2200006−6−66-11-1100000000000
χ684-4-4444-4-404i−4i01-11-1000000001-1-11000−ii−ii0000-444-4-4-4440−4i4i0-11-1100000000-111-1000i−ii−i0000
χ694-4-4444-4-40−4i4i01-11-1000000001-1-11000i−ii−i0000-444-4-4-44404i−4i0-11-1100000000-111-1000−ii−ii0000
χ704-4-44-2-2220000-22-2222−2200−22−221-1-1100000000000-444-422-2-200002-22-2−2222002−22−2-111-100000000000
χ714-4-44-2-2220000-22-22−2222002−22−21-1-1100000000000-444-422-2-200002-22-222−2200−22−22-111-100000000000
χ726666-3-3-3-3-200-200002211-1-1-1-10000-21100000000-6-6-6-6333320020000-2-2-1-1111100002-1-100000000
χ736666-3-3-3-3-200-20000-2-211111100002-1-100000000-6-6-6-633332002000022-1-1-1-1-1-10000-21100000000
χ7466-6-66-66-6-2002000000-220000000000000000000-6-666-66-66200-20000002-20000000000000000000
χ7566-6-6-33-33-20020000001-133−3−300000−3300000000-6-6663-33-3200-2000000-11−3−333000003−300000000
χ7666-6-6-33-33-20020000001-1−3−333000003−300000000-6-6663-33-3200-2000000-1133−3−300000−3300000000
χ778-88-8-444-400002-2-2200000000-11-1100000000000-88-884-4-440000-222-2000000001-11-100000000000
χ788-8-88-4-44400002-22-200000000-111-100000000000-888-844-4-40000-22-22000000001-1-1100000000000

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