Finite Group Databasebeta

← Group #11922107

Character table — Group #11922107

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222266668888121212121212121216161616242424242424243636367211112222666688881212121212121212161616162424242424242436363672
order12223666444436668812122424242436662661212121228842222666644446666881212242424246666266121212122884
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
χ311111111-1-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1
χ411111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
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
χ622222222-2-222-1-1-1-100220000-1-1-1-10001111-200022222222-2-222-1-1-1-100220000-1-1-1-10001111-2000
χ72222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-1000000002222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-100000000
χ82222-1-1-1-100222222-2-2-1-11111-1-1-1-1-211000000002222-1-1-1-100222222-2-2-1-11111-1-1-1-1-21100000000
χ922-2-222-2-22i−2i00-11-11−i2i200−i2−i2i2i2-111-1000ii−i−i02−2022-2-222-2-22i−2i00-11-11−i2i200−i2−i2i2i2-111-1000ii−i−i02−20
χ1022-2-222-2-22i−2i00-11-11i2−i200i2i2−i2−i2-111-1000ii−i−i0−22022-2-222-2-22i−2i00-11-11i2−i200i2i2−i2−i2-111-1000ii−i−i0−220
χ1122-2-222-2-2−2i2i00-11-11−i2i200−i2−i2i2i2-111-1000−i−iii0−22022-2-222-2-2−2i2i00-11-11−i2i200−i2−i2i2i2-111-1000−i−iii0−220
χ1222-2-222-2-2−2i2i00-11-11i2−i200i2i2−i2−i2-111-1000−i−iii02−2022-2-222-2-2−2i2i00-11-11i2−i200i2i2−i2−i2-111-1000−i−iii02−20
χ132-22-22-2-22002-22-2-2200-22000022-2-2000000000002-22-22-2-22002-22-2-2200-22000022-2-200000000000
χ142-22-22-2-22002-2-111-100-220000-1-111000−i3i3−i3i300002-22-22-2-22002-2-111-100-220000-1-111000−i3i3−i3i30000
χ152-22-22-2-22002-2-111-100-220000-1-111000i3−i3i3−i300002-22-22-2-22002-2-111-100-220000-1-111000i3−i3i3−i30000
χ162-22-2-111-1002-22-2-22001-1−i3i3−i3i3-1-1110−i3i3000000002-22-2-111-1002-22-2-22001-1−i3i3−i3i3-1-1110−i3i300000000
χ172-22-2-111-1002-22-2-22001-1i3−i3i3−i3-1-1110i3−i3000000002-22-2-111-1002-22-2-22001-1i3−i3i3−i3-1-1110i3−i300000000
χ183333333333-1-1000011-1-111110000-1-1-10000-111-13333333333-1-1000011-1-111110000-1-1-10000-111-1
χ193333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-113333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-11
χ2033333333-3-3-1-1000011-1-111110000-1-1-100001-1-1133333333-3-3-1-1000011-1-111110000-1-1-100001-1-11
χ2133333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-133333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-1
χ224444-2-2-2-20044-2-2-2-200-2-200001111000000000004444-2-2-2-20044-2-2-2-200-2-20000111100000000000
χ2344-4-444-4-44i−4i001-11-1000000001-1-11000−i−iii000044-4-444-4-44i−4i001-11-1000000001-1-11000−i−iii0000
χ2444-4-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i000044-4-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i0000
χ2544-4-4-2-2220000-22-22−2i22i200i2i2−i2−i21-1-110000000000044-4-4-2-2220000-22-22−2i22i200i2i2−i2−i21-1-1100000000000
χ2644-4-4-2-2220000-22-222i2−2i200−i2−i2i2i21-1-110000000000044-4-4-2-2220000-22-222i2−2i200−i2−i2i2i21-1-1100000000000
χ274-44-4-222-2004-4-222-2002-2000011-1-1000000000004-44-4-222-2004-4-222-2002-2000011-1-100000000000
χ284-4-444-44-4000011-1-1000000001-11-10003−3−3300004-4-444-44-4000011-1-1000000001-11-10003−3−330000
χ294-4-444-44-4000011-1-1000000001-11-1000−333−300004-4-444-44-4000011-1-1000000001-11-1000−333−30000
χ304-4-444-44-40000-2-22200000000-22-22000000000004-4-444-44-40000-2-22200000000-22-2200000000000
χ314-4-44-22-220000-2-22200006−6−661-11-1000000000004-4-44-22-220000-2-22200006−6−661-11-100000000000
χ324-4-44-22-220000-2-2220000−666−61-11-1000000000004-4-44-22-220000-2-2220000−666−61-11-100000000000
χ336666-3-3-3-300-2-200002211-1-1-1-10000-211000000006666-3-3-3-300-2-200002211-1-1-1-10000-21100000000
χ346666-3-3-3-300-2-20000-2-211111100002-1-1000000006666-3-3-3-300-2-20000-2-211111100002-1-100000000
χ356-66-66-6-6600-220000002-200000000000000000006-66-66-6-6600-220000002-20000000000000000000
χ366-66-6-333-300-22000000-11−i3i3−i3i300000i3−i3000000006-66-6-333-300-22000000-11−i3i3−i3i300000i3−i300000000
χ376-66-6-333-300-22000000-11i3−i3i3−i300000−i3i3000000006-66-6-333-300-22000000-11i3−i3i3−i300000−i3i300000000
χ3888-8-8-4-44400002-22-200000000-111-10000000000088-8-8-4-44400002-22-200000000-111-100000000000
χ398-8-88-44-44000022-2-200000000-11-11000000000008-8-88-44-44000022-2-200000000-11-1100000000000
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
χ4211111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4311111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1
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
χ4522222222-2-222-1-1-1-100220000-1-1-1-10001111-2000-2-2-2-2-2-2-2-222-2-2111100-2-200001111000-1-1-1-12000
χ462222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-12-1-100000000-2-2-2-2111100-2-2-2-2-2-2-2-21111111111-21100000000
χ472222-1-1-1-100222222-2-2-1-11111-1-1-1-1-21100000000-2-2-2-2111100-2-2-2-2-2-22211-1-1-1-111112-1-100000000
χ4822-2-222-2-22i−2i00-11-11−i2i200−i2−i2i2i2-111-1000ii−i−i02−20-2-222-2-222−2i2i001-11-1i2−i200i2i2−i2−i21-1-11000−i−iii0−220
χ4922-2-222-2-22i−2i00-11-11i2−i200i2i2−i2−i2-111-1000ii−i−i0−220-2-222-2-222−2i2i001-11-1−i2i200−i2−i2i2i21-1-11000−i−iii02−20
χ5022-2-222-2-2−2i2i00-11-11−i2i200−i2−i2i2i2-111-1000−i−iii0−220-2-222-2-2222i−2i001-11-1i2−i200i2i2−i2−i21-1-11000ii−i−i02−20
χ5122-2-222-2-2−2i2i00-11-11i2−i200i2i2−i2−i2-111-1000−i−iii02−20-2-222-2-2222i−2i001-11-1−i2i200−i2−i2i2i21-1-11000ii−i−i0−220
χ522-22-22-2-22002-22-2-2200-22000022-2-200000000000-22-22-222-200-22-222-2002-20000-2-22200000000000
χ532-22-22-2-22002-2-111-100-220000-1-111000−i3i3−i3i30000-22-22-222-200-221-1-11002-2000011-1-1000i3−i3i3−i30000
χ542-22-22-2-22002-2-111-100-220000-1-111000i3−i3i3−i30000-22-22-222-200-221-1-11002-2000011-1-1000−i3i3−i3i30000
χ552-22-2-111-1002-22-2-22001-1−i3i3−i3i3-1-1110−i3i300000000-22-221-1-1100-22-222-200-11i3−i3i3−i311-1-10i3−i300000000
χ562-22-2-111-1002-22-2-22001-1i3−i3i3−i3-1-1110i3−i300000000-22-221-1-1100-22-222-200-11−i3i3−i3i311-1-10−i3i300000000
χ573333333333-1-1000011-1-111110000-1-1-10000-111-1-3-3-3-3-3-3-3-3-3-3110000-1-111-1-1-1-1000011100001-1-11
χ583333333333-1-10000-1-1-1-1-1-1-1-100001110000-1-1-11-3-3-3-3-3-3-3-3-3-3110000111111110000-1-1-10000111-1
χ5933333333-3-3-1-1000011-1-111110000-1-1-100001-1-11-3-3-3-3-3-3-3-333110000-1-111-1-1-1-100001110000-111-1
χ6033333333-3-3-1-10000-1-1-1-1-1-1-1-100001110000111-1-3-3-3-3-3-3-3-333110000111111110000-1-1-10000-1-1-11
χ614444-2-2-2-20044-2-2-2-200-2-20000111100000000000-4-4-4-4222200-4-4222200220000-1-1-1-100000000000
χ6244-4-444-4-44i−4i001-11-1000000001-1-11000−i−iii0000-4-444-4-444−4i4i00-11-1100000000-111-1000ii−i−i0000
χ6344-4-444-4-4−4i4i001-11-1000000001-1-11000ii−i−i0000-4-444-4-4444i−4i00-11-1100000000-111-1000−i−iii0000
χ6444-4-4-2-2220000-22-22−2i22i200i2i2−i2−i21-1-1100000000000-4-44422-2-200002-22-22i2−2i200−i2−i2i2i2-111-100000000000
χ6544-4-4-2-2220000-22-222i2−2i200−i2−i2i2i21-1-1100000000000-4-44422-2-200002-22-2−2i22i200i2i2−i2−i2-111-100000000000
χ664-44-4-222-2004-4-222-2002-2000011-1-100000000000-44-442-2-2200-442-2-2200-220000-1-11100000000000
χ674-4-444-44-4000011-1-1000000001-11-10003−3−330000-444-4-44-440000-1-11100000000-11-11000−333−30000
χ684-4-444-44-4000011-1-1000000001-11-1000−333−30000-444-4-44-440000-1-11100000000-11-110003−3−330000
χ694-4-444-44-40000-2-22200000000-22-2200000000000-444-4-44-44000022-2-2000000002-22-200000000000
χ704-4-44-22-220000-2-22200006−6−661-11-100000000000-444-42-22-2000022-2-20000−666−6-11-1100000000000
χ714-4-44-22-220000-2-2220000−666−61-11-100000000000-444-42-22-2000022-2-200006−6−66-11-1100000000000
χ726666-3-3-3-300-2-200002211-1-1-1-10000-21100000000-6-6-6-6333300220000-2-2-1-1111100002-1-100000000
χ736666-3-3-3-300-2-20000-2-211111100002-1-100000000-6-6-6-633330022000022-1-1-1-1-1-10000-21100000000
χ746-66-66-6-6600-220000002-20000000000000000000-66-66-666-6002-2000000-220000000000000000000
χ756-66-6-333-300-22000000-11−i3i3−i3i300000i3−i300000000-66-663-3-33002-20000001-1i3−i3i3−i300000−i3i300000000
χ766-66-6-333-300-22000000-11i3−i3i3−i300000−i3i300000000-66-663-3-33002-20000001-1−i3i3−i3i300000i3−i300000000
χ7788-8-8-4-44400002-22-200000000-111-100000000000-8-88844-4-40000-22-22000000001-1-1100000000000
χ788-8-88-44-44000022-2-200000000-11-1100000000000-888-84-44-40000-2-222000000001-11-100000000000

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