Finite Group Databasebeta

← #28624899

Subgroups — #28624899

Order 15104.

1012 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838030C211yesmaximal, characteristic
2C2×#16837709C211yesmaximal, characteristic, complemented
3C2×#16837697C211yesmaximal, characteristic, complemented
4#21425434C211yesmaximal, characteristic, complemented
5#21425424C211yesmaximal, characteristic, complemented
6#21425247C211yesmaximal, characteristic, complemented
7#21425237C211yesmaximal, characteristic, complemented
8#21425053C211yesmaximal, characteristic, complemented
9#21425048C211yesmaximal, characteristic, complemented
10#21424409C211yesmaximal, characteristic
11#21424404C211yesmaximal, characteristic
12#21424293C211yesmaximal, characteristic
13#21424283C211yesmaximal, characteristic
14#21424080C211yesmaximal, characteristic
15C59×#2323C211yesmaximal, characteristic
16#16838030—24no—
17#16838030—24no—
18C2×#14273727C2211yescharacteristic
19C2×#14273727C2211yescharacteristic
20C2×#14273726—21no—
21C2×#14273719C2211yescharacteristic
22C2×#14273719C2211yescharacteristic
23C2×#14273718—21no—
24C2×#14273704—21no—
25C2×#14273704—21no—
26C2×#14273686C2211yescharacteristic
27C22×C4⋊Dic59C2211yescharacteristic
28#16837709—24no—
29#16837697—24no—
30C2×#14273660C2211yescharacteristic
31C2×#14273660C2211yescharacteristic
32C2×#14273660C2211yescharacteristic
33C2×#14273658C2211yescharacteristic
34C2×C4⋊(C59⋊C8)C2211yescharacteristic
35C2×C4⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273651C2211yescharacteristic
37C2×#14273651C2211yescharacteristic
38C2×#14273651C2211yescharacteristic
39C2×#14273651C2211yescharacteristic
40C2×C22⋊(C59⋊C8)C2211yescharacteristic
41C2×C22⋊(C59⋊C8)C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837157C2211yescharacteristic
51#16837157C2211yescharacteristic
52C2×C22⋊Q8×C59C2211yescharacteristic
53C2×C4×Q8×C59C2211yescharacteristic
54C2×#117×C59C2211yescharacteristic
55C59×#391C2211yescharacteristic
56C59×#389—21no—
57C59×#389C2211yescharacteristic
58C59×#388—21no—
59C59×#388—21no—
60C59×#387—21no—
61C59×#380C2211yescharacteristic
62C4×C4⋊C4×C59C2211yescharacteristic
63C22×Dic118—21no—
64C22×Dic118—21no—
65C23×Dic59—21no—
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70#14273727—22no—
71#14273727—22no—
72#14273727—22no—
73#14273727D414yes—
74#14273726—28no—
75#14273719—22no—
76#14273719—22no—
77#14273719—22no—
78#14273719D414yes—
79#14273718—28no—
80#14273704—28no—
81#14273704—28no—
82#14273686—22no—
83#14273686—22no—
84C2×C4⋊Dic59—21no—
85C2×C4⋊Dic59—21no—
86C2×C4⋊Dic59—21no—
87C2×C4⋊Dic59—22no—
88C2×C4⋊Dic59—22no—
89C2×C4⋊Dic59C2311yescharacteristic
90C2×C4⋊Dic59C2311yescharacteristic
91C2×C4⋊Dic59C2311yescharacteristic
92C2×C4⋊Dic59C2311yescharacteristic
93C2×Dic59⋊C4—21no—
94C2×Dic59⋊C4—21no—
95C2×Dic59⋊C4—21no—
96C2×Dic59⋊C4—21no—
97C2×C22⋊Dic59—21no—
98C2×C4×Dic59—21no—
99#14273660—22no—
100#14273660—22no—
101#14273660—22no—
102#14273658—22no—
103C4⋊(C59⋊C8)—22no—
104C4⋊(C59⋊C8)—22no—
105#14273651—22no—
106#14273651—22no—
107#14273651—22no—
108#14273651—22no—
109C22⋊(C59⋊C8)—22no—
110C22⋊(C59⋊C8)—22no—
111C22×Q8×C59C2311yescharacteristic
112C23×C4×C59C2311yescharacteristic
113C22⋊Q8×C59—22no—
114C22⋊Q8×C59Q814yescomplemented
115C4×Q8×C59—22no—
116C4×Q8×C59—22no—
117#117×C59—22no—
118#117×C59—22no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—21no—
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59D411yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59—21no—
133C2×C42×C59C2311yescharacteristic
134C2×C42×C59C2311yescharacteristic
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138#95×C59—21no—
139#95×C59—21no—
140C24×C59C2×D411yescharacteristic
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59C2×Q812yes—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×Q812yes—
161C22×C4×C59#4112yes—
162C22×C4×C59C2411yescharacteristic
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—24no—
168C22×Dic59—81no—
169C22×Dic59—81no—
170C2×Dic118—24no—
171C2×Dic118—24no—
172C2×Dic118—81no—
173C2×Dic118—81no—
174C2×Dic118—81no—
175C2×Dic118—81no—
176C4⋊C4×C59—22no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—24no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—42no—
185C4⋊C4×C59—81no—
186C4⋊C4×C59C2×Q812yes—
187C22⋊C4×C59—24no—
188C22⋊C4×C59—22no—
189C22⋊C4×C59—22no—
190C22⋊C4×C59—81no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—42no—
194C42×C59—81no—
195C42×C59C2×D412yes—
196C42×C59C2×D412yes—
197C22⋊Dic59—24no—
198C4⋊Dic59—24no—
199C4⋊Dic59—24no—
200C4⋊Dic59—24no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59C2×D412yes—
206C4⋊Dic59C2×D412yes—
207C4⋊Dic59C2×D412yes—
208C4⋊Dic59C2×D412yes—
209Dic59⋊C4—24no—
210Dic59⋊C4—24no—
211Dic59⋊C4—24no—
212Dic59⋊C4—24no—
213C4×Dic59—24no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59C22⋊Q812yes—
233C23×C59C22×D411yescharacteristic
234Q8×C59—22no—
235Q8×C59—22no—
236Q8×C59—41no—
237Q8×C59—41no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59#12012yes—
267C2×C4×C59#12012yes—
268C2×C4×C59C22⋊Q812yes—
269C2×C4×C59C22×D411yescharacteristic
270C2×C4×C59C22×D411yescharacteristic
271C2×C4×C59C22×Q811yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C592−1+411yescharacteristic
274C2×C4×C592−1+411yescharacteristic
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—84no—
288Dic118—84no—
289Dic118—84no—
290C59⋊C8—41no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293C59⋊C8—41no—
294#24311—591nomaximal, Sylow
295C22×C59—22no—
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—41no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59C2×#12011yescharacteristic
303C22×C59C2×C22⋊Q811yescharacteristic
304C22×C59#53611yescharacteristic
305C22×C59#57611yescharacteristic
306C22×C59#57711yescharacteristic
307C22×C59#57811yescharacteristic
308C22×C59#57811yescharacteristic
309C4×C59—22no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—42no—
313C4×C59—42no—
314C4×C59—41no—
315C4×C59—41no—
316C4×C59—81no—
317C4×C59—81no—
318C4×C59#54811yescharacteristic
319C4×C59#54811yescharacteristic
320C4×C59D4×Q811yescharacteristic
321C4×C59D4×Q811yescharacteristic
322Dic59—42no—
323Dic59—42no—
324Dic59—42no—
325Dic59—42no—
326C2×#544—591no—
327C2×#479—591no—
328C2×#477—591no—
329#2323D5911yescharacteristic
330#2059—591no—
331#2057—591no—
332#2026—591no—
333#2024—591no—
334#1989—591no—
335#1988—591no—
336#1873—591no—
337#1872—591no—
338#1854—591no—
339#1852—591no—
340#1798—591no—
341C2×C59—42no—
342C2×C59#240911yescharacteristic
343C2×C59#301111yescharacteristic
344C2×C59#301211yescharacteristic
345C2×C59#308211yescharacteristic
346C2×C59#308311yescharacteristic
347C2×C59#324211yescharacteristic
348C2×C59#324311yescharacteristic
349#544—1184no—
350#544—1184no—
351C2×C4⋊Q8—591no—
352C2×C4⋊Q8—591no—
353C2×C4⋊Q8—1181no—
354C2×#125—591no—
355C2×#125—591no—
356C2×#125—1181no—
357C2×C22⋊Q8—1181no—
358C2×C22⋊Q8—1181no—
359C2×C22⋊Q8C2×D5911yescharacteristic
360C2×C4×Q8C2×D5911yescharacteristic
361C2×#117—591no—
362C2×#117C2×D5911yescharacteristic
363C22×C4⋊C4—591no—
364#479—1184no—
365#477—1184no—
366C2×#107—591no—
367C2×#107—591no—
368C2×#107—591no—
369C2×#106—591no—
370C2×C4⋊C8—591no—
371C2×C4⋊C8—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103—591no—
376C2×C22⋊C8—591no—
377C2×C22⋊C8—591no—
378#391C2×D5911yescharacteristic
379#389—21no—
380#389C2×D5911yescharacteristic
381#388—21no—
382#388—21no—
383#387—21no—
384#380C2×D5911yescharacteristic
385C4×C4⋊C4C2×D5911yescharacteristic
386#340—591no—
387#340—591no—
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#340—591no—
393#340—591no—
394#336—591no—
395#336—591no—
396C59#2431111yescharacteristic, complemented, Sylow
397C22×Q8—1181no—
398C22×Q8—1181no—
399C22×Q8C22×D5911yescharacteristic
400C23×C4—1181no—
401C23×C4C22×D5911yescharacteristic
402C22×C8—591no—
403C22×C8—591no—
404C22×C8—591no—
405C22×C8—591no—
406C4⋊Q8—594no—
407C4⋊Q8—1182no—
408C4⋊Q8—1182no—
409C4⋊Q8—1188no—
410C4⋊Q8—1182no—
411#125—594no—
412#125—1182no—
413#125—1182no—
414#125—1188no—
415#125—1182no—
416C22⋊Q8—22no—
417C22⋊Q8—1188no—
418C22⋊Q8—1188no—
419C22⋊Q8Dic11814yescomplemented
420C4×Q8—22no—
421C4×Q8—22no—
422#117—22no—
423#117—22no—
424#117—1182no—
425#117—1182no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—591no—
433C2×C4⋊C4—1182no—
434C2×C4⋊C4—1182no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22⋊D5911yescharacteristic
443C2×C4⋊C4C22⋊D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4C22⋊D5911yescharacteristic
451C2×C22⋊C4C22⋊D5911yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—1181no—
455C2×C42C22×D5911yescharacteristic
456C2×C42C22×D5911yescharacteristic
457#107—1182no—
458#107—1182no—
459#107—1182no—
460#106—1182no—
461C4⋊C8—1182no—
462C4⋊C8—1182no—
463#103—1182no—
464#103—1182no—
465#103—1182no—
466#103—1182no—
467C22⋊C8—1182no—
468C22⋊C8—1182no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474C24C2×C22⋊D5911yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—1184no—
481C2×Q8—1184no—
482C2×Q8—4721no—
483C2×Q8—4721no—
484C2×Q8—4721no—
485C2×Q8—4721no—
486C2×Q8C2×Dic11812yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—1184no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—4721no—
501C22×C4—4721no—
502C22×C4C2×Dic11812yes—
503C22×C4#1174568512yes—
504C22×C4C2×C22⋊D5911yescharacteristic
505C22×C4C2×C22⋊D5911yescharacteristic
506C22×C4C2×C22⋊D5911yescharacteristic
507C22×C4C2×C22⋊D5911yescharacteristic
508C22×C4C2×C22⋊D5911yescharacteristic
509C22×C4C23×D5911yescharacteristic
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—24no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—42no—
531C4⋊C4—81no—
532C4⋊C4—592no—
533C4⋊C4—592no—
534C4⋊C4—592no—
535C4⋊C4—592no—
536C4⋊C4—1184no—
537C4⋊C4—1184no—
538C4⋊C4—1184no—
539C4⋊C4—1184no—
540C4⋊C4—1184no—
541C4⋊C4—1184no—
542C4⋊C4—1184no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4C2×Dic11812yes—
548C22⋊C4—24no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—81no—
552C22⋊C4—1184no—
553C42—21no—
554C42—21no—
555C42—42no—
556C42—81no—
557C42—1184no—
558C42D4×D5912yes—
559C42D4×D5912yes—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23#1427370612yes—
567C23C22×C22⋊D5911yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572Q8—4724no—
573Q8—4724no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—1182no—
603C2×C4—1182no—
604C2×C4—1182no—
605C2×C4—1182no—
606C2×C4—4724no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4#1427369512yes—
616C2×C4#1427369512yes—
617C2×C4#1427370612yes—
618C2×C4C2×D4×D5911yescharacteristic
619C2×C4C2×D4×D5911yescharacteristic
620C2×C4C22×Dic11811yescharacteristic
621C2×C4C2×#1174568511yescharacteristic
622C2×C4#1427377411yescharacteristic
623C2×C4#1427377411yescharacteristic
624C8—2361no—
625C8—2361no—
626C8—2361no—
627C8—2361no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×#1427369511yescharacteristic
636C22C2×#1427370611yescharacteristic
637C22#1683797311yescharacteristic
638C22#1683820511yescharacteristic
639C22#1683821011yescharacteristic
640C22#1683821711yescharacteristic
641C22#1683821711yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—42no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—81no—
650C4—81no—
651C4—2362no—
652C4—2362no—
653C4—2362no—
654C4—2362no—
655C4#1683806111yescharacteristic
656C4#1683806111yescharacteristic
657C4D4×Dic11811yescharacteristic
658C4D4×Dic11811yescharacteristic
659C2—42no—
660C2#2142746111yescharacteristic
661C2#2143338911yescharacteristic
662C2#2143339711yescharacteristic
663C2#2143393811yescharacteristic
664C2#2143394711yescharacteristic
665C2#2143535811yescharacteristic
666C2#2143537311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2323C2
socleC23×C59C22×D4
prime radicalC24×C59C2×D4
hypercenter#2323D59
hypocenterC59#24311
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#16837709C2semidirect
3. C2×#16837697C2semidirect
4. #21425434C2semidirect
5. #21425424C2semidirect
6. #21425247C2semidirect
7. #21425237C2semidirect
8. #21425053C2semidirect
9. #21425048C2semidirect
114. C22⋊Q8×C59Q8semidirect
396. C59#24311semidirect
419. C22⋊Q8Dic118semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168380302
C2×#168377092
C2×#168376972
#214254342
#214254242
#214252472
#214252372
#214250532
#214250482
#214244092
#214244042
#214242932
#214242832
#214240802
C59×#23232
#2431159