Finite Group Databasebeta

← C151×#18028 #50322953

Subgroups — C151×#18028 #50322953

Order 38656.

616 conjugacy classes of subgroups.

The subgroup lattice has 590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3101×C151C211yesmaximal, characteristic
2#2986×C151C211yesmaximal, characteristic, complemented
3#2974×C151C211yesmaximal, characteristic
4#1592×C151C211yesmaximal, characteristic, complemented
5#1590×C151C211yesmaximal, characteristic, complemented
6#1588×C151C211yesmaximal, characteristic, complemented
7#1585×C151C211yesmaximal, characteristic, complemented
8#1583×C151C211yesmaximal, characteristic, complemented
9#1582×C151C211yesmaximal, characteristic, complemented
10SD16⋊C8×C151C211yesmaximal, characteristic, complemented
11C8×SD16×C151C211yesmaximal, characteristic, complemented
12#1572×C151C211yesmaximal, characteristic, complemented
13#1497×C151C211yesmaximal, characteristic, complemented
14#1478×C151C211yesmaximal, characteristic
15#1454×C151C211yesmaximal, characteristic, complemented
16#533×C151C2211yescharacteristic
17C2×C4×D4×C151C2211yescharacteristic
18#483×C151C411yescharacteristic
19#483×C151C411yescharacteristic
20#476×C151C411yescharacteristic
21#476×C151C411yescharacteristic
22#461×C151C411yescharacteristic
23#461×C151C411yescharacteristic
24#450×C151C411yescharacteristic
25#450×C151C411yescharacteristic
26#446×C151—21no—
27#446×C151C2211yescharacteristic, complemented
28#446×C151C2211yescharacteristic, complemented
29C8×Q8×C151—21no—
30C8×Q8×C151C2211yescharacteristic, complemented
31C8×Q8×C151C2211yescharacteristic, complemented
32C4×SD16×C151C2211yescharacteristic
33C4×SD16×C151C2211yescharacteristic
34C4×SD16×C151C2211yescharacteristic
35C4×SD16×C151C2211yescharacteristic
36#436×C151C2211yescharacteristic
37#436×C151C2211yescharacteristic
38#435×C151—21no—
39#435×C151—21no—
40C8×D4×C151C2211yescharacteristic
41C8×D4×C151C2211yescharacteristic
42#433×C151—21no—
43#433×C151—21no—
44#432×C151C2211yescharacteristic
45#431×C151C2211yescharacteristic
46#431×C151C2211yescharacteristic
47#431×C151C2211yescharacteristic
48#431×C151C2211yescharacteristic
49#407×C151—21no—
50C2×C22⋊C8×C151—21no—
51#335×C151C2211yescharacteristic, complemented
52#335×C151C2211yescharacteristic, complemented
53#334×C151C2211yescharacteristic, complemented
54#334×C151C2211yescharacteristic, complemented
55Q8⋊C8×C151C2211yescharacteristic, complemented
56Q8⋊C8×C151C2211yescharacteristic, complemented
57Q8⋊C8×C151C2211yescharacteristic, complemented
58Q8⋊C8×C151C2211yescharacteristic, complemented
59D4⋊C8×C151C2211yescharacteristic
60D4⋊C8×C151C2211yescharacteristic
61D4⋊C8×C151C2211yescharacteristic
62D4⋊C8×C151C2211yescharacteristic
63#322×C151C2211yescharacteristic, complemented
64#322×C151C2211yescharacteristic, complemented
65#322×C151C2211yescharacteristic, complemented
66C82×C151C2211yescharacteristic, complemented
67C22×D4×C151C2×C411yescharacteristic
68C23×C4×C151—21no—
69C2×SD16×C151C2×C411yescharacteristic
70C2×SD16×C151C2×C411yescharacteristic
71C2×SD16×C151C2×C411yescharacteristic
72C2×SD16×C151C2×C411yescharacteristic
73C2×M16×C151—21no—
74C2×M16×C151—21no—
75C22×C8×C151—21no—
76C22×C8×C151—21no—
77C4⋊Q8×C151C2×C411yescharacteristic
78C4⋊Q8×C151C2×C411yescharacteristic
79#125×C151—21no—
80C22⋊Q8×C151—21no—
81C22⋊Q8×C151C2×C411yescharacteristic
82C22⋊Q8×C151C2×C411yescharacteristic
83C4×Q8×C151—21no—
84C4×Q8×C151C2311yescharacteristic
85C4×Q8×C151C2311yescharacteristic
86C4×D4×C151—21no—
87C4×D4×C151—21no—
88C4×D4×C151C2×C411yescharacteristic
89C4×D4×C151C2×C411yescharacteristic
90C4×D4×C151C2311yescharacteristic
91C4×D4×C151C2311yescharacteristic
92#117×C151—21no—
93C2×C4⋊C4×C151C2×C411yescharacteristic
94C2×C22⋊C4×C151—21no—
95C2×C42×C151C2311yescharacteristic
96#106×C151C2×C411yescharacteristic
97#106×C151C2×C411yescharacteristic
98#106×C151C2×C411yescharacteristic
99#106×C151C2×C411yescharacteristic
100C4⋊C8×C151—21no—
101C4⋊C8×C151—21no—
102C4⋊C8×C151—21no—
103C4⋊C8×C151—21no—
104C4⋊C8×C151—21no—
105C4⋊C8×C151C2×C411yescharacteristic
106C4⋊C8×C151C2×C411yescharacteristic
107C4⋊C8×C151D411yescharacteristic
108C4⋊C8×C151D411yescharacteristic
109C4⋊C8×C151C2311yescharacteristic
110C4⋊C8×C151C2311yescharacteristic
111C4⋊C8×C151C2311yescharacteristic
112C4⋊C8×C151C2311yescharacteristic
113#103×C151C2×C411yescharacteristic
114#103×C151C2×C411yescharacteristic
115#103×C151C2×C411yescharacteristic
116#103×C151C2×C411yescharacteristic
117#102×C151C2×C411yescharacteristic
118#102×C151C2×C411yescharacteristic
119#102×C151C2×C411yescharacteristic
120#102×C151C2×C411yescharacteristic
121C22⋊C8×C151—21no—
122C22⋊C8×C151—21no—
123C22⋊C8×C151—21no—
124C22⋊C8×C151—21no—
125C22⋊C8×C151—21no—
126C22⋊C8×C151—21no—
127C22⋊C8×C151—21no—
128C22⋊C8×C151C2×C411yescharacteristic
129C22⋊C8×C151C2×C411yescharacteristic
130C22⋊C8×C151D411yescharacteristic
131C22⋊C8×C151D411yescharacteristic
132#97×C151—21no—
133#97×C151—21no—
134#97×C151—21no—
135C4×C8×C151—21no—
136C4×C8×C151—21no—
137C4×C8×C151—21no—
138C4×C8×C151C2311yescharacteristic
139C4×C8×C151C2311yescharacteristic
140C4×C8×C151C2311yescharacteristic
141C4×C8×C151C2311yescharacteristic
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C24×C151—21no—
145C2×Q8×C151—21no—
146C2×Q8×C151C22×C411yescharacteristic
147C2×Q8×C151C22×C411yescharacteristic
148C2×D4×C151—22no—
149C2×D4×C151—21no—
150C2×D4×C151—41no—
151C2×D4×C151C22×C411yescharacteristic
152C2×D4×C151C22×C411yescharacteristic
153C22×C4×C151—21no—
154C22×C4×C151—21no—
155C22×C4×C151—21no—
156C22×C4×C151—21no—
157C22×C4×C151—21no—
158C22×C4×C151—81no—
159C22×C4×C151—81no—
160C22×C4×C151C22×C411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151#4111yescharacteristic
163SD16×C151—22no—
164SD16×C151—22no—
165SD16×C151—41no—
166SD16×C151—41no—
167M16×C151—81no—
168M16×C151—81no—
169C2×C8×C151—21no—
170C2×C8×C151—21no—
171C2×C8×C151—21no—
172C2×C8×C151—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—81no—
176C2×C8×C151—81no—
177C2×C8×C151C22×C411yescharacteristic
178C2×C8×C151C22×C411yescharacteristic
179C2×C8×C151C22×C411yescharacteristic
180C2×C8×C151C22×C411yescharacteristic
181C2×C8×C151C2×D411yescharacteristic
182C2×C8×C151C2×D411yescharacteristic
183C2×C8×C151C2×D411yescharacteristic
184C2×C8×C151C2×D411yescharacteristic
185C4⋊C4×C151—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—21no—
189C4⋊C4×C151—21no—
190C4⋊C4×C151—21no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—21no—
193C4⋊C4×C151C22×C411yescharacteristic
194C4⋊C4×C151C22×C411yescharacteristic
195C4⋊C4×C151C22×C411yescharacteristic
196C4⋊C4×C151C22×C411yescharacteristic
197C22⋊C4×C151—21no—
198C22⋊C4×C151—21no—
199C22⋊C4×C151—21no—
200C22⋊C4×C151—21no—
201C22⋊C4×C151—21no—
202C22⋊C4×C151—21no—
203C42×C151—21no—
204C42×C151—21no—
205C42×C151C22×C411yescharacteristic
206C42×C151C2×D411yescharacteristic
207C42×C151#4111yescharacteristic
208C42×C151C2411yescharacteristic
209C23×C151—21no—
210C23×C151—21no—
211C23×C151—42no—
212C23×C151—42no—
213C23×C151—81no—
214C23×C151C4×D411yescharacteristic
215Q8×C151—21no—
216Q8×C151—21no—
217Q8×C151—21no—
218Q8×C151—21no—
219Q8×C151—42no—
220D4×C151—21no—
221D4×C151—21no—
222D4×C151—21no—
223D4×C151—42no—
224D4×C151#13112yes—
225C2×C4×C151—21no—
226C2×C4×C151—21no—
227C2×C4×C151—21no—
228C2×C4×C151—21no—
229C2×C4×C151—21no—
230C2×C4×C151—21no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—41no—
236C2×C4×C151—41no—
237C2×C4×C151—41no—
238C2×C4×C151—41no—
239C2×C4×C151—41no—
240C2×C4×C151—81no—
241C2×C4×C151—81no—
242C2×C4×C151—81no—
243C2×C4×C151C4×D411yescharacteristic
244C2×C4×C151C4×D411yescharacteristic
245C2×C4×C151C4×D411yescharacteristic
246C2×C4×C151C23×C411yescharacteristic
247C2×C4×C151C22×D411yescharacteristic
248C2×C4×C151C2×#4111yescharacteristic
249C8×C151—21no—
250C8×C151—21no—
251C8×C151—21no—
252C8×C151—21no—
253C8×C151—21no—
254C8×C151—21no—
255C8×C151—21no—
256C8×C151—21no—
257C8×C151—41no—
258C8×C151—41no—
259C8×C151—41no—
260C8×C151—41no—
261C8×C151—41no—
262C8×C151—41no—
263C22×C151—21no—
264C22×C151—22no—
265C22×C151—21no—
266C22×C151—21no—
267C22×C151—41no—
268C22×C151—41no—
269C22×C151—41no—
270C22×C151—41no—
271C22×C151—41no—
272C22×C151—84no—
273C22×C151C2×C4×D411yescharacteristic
274C4×C151—21no—
275C4×C151—21no—
276C4×C151—21no—
277C4×C151—21no—
278C4×C151—41no—
279C4×C151—41no—
280C4×C151—41no—
281C4×C151—41no—
282C4×C151—41no—
283C4×C151—41no—
284C4×C151C2×#13111yescharacteristic
285C4×C151#56811yescharacteristic
286C4×C151#57711yescharacteristic
287C4×C151#57711yescharacteristic
288C2×C151—41no—
289C2×C151—42no—
290C2×C151—81no—
291C2×C151#293311yescharacteristic
292C2×C151#294911yescharacteristic
293C2×C151#295511yescharacteristic
294#18028C15111yesmaximal, characteristic, direct product factor, Sylow
295C151#1802811yescharacteristic, direct product factor, Sylow
296#3101C2×C15111yescharacteristic
297#2986C2×C15111yescharacteristic, complemented
298#2974C2×C15111yescharacteristic
299#1592C2×C15111yescharacteristic, complemented
300#1590C2×C15111yescharacteristic, complemented
301#1588C2×C15111yescharacteristic, complemented
302#1585C2×C15111yescharacteristic, complemented
303#1583C2×C15111yescharacteristic, complemented
304#1582C2×C15111yescharacteristic, complemented
305SD16⋊C8C2×C15111yescharacteristic, complemented
306C8×SD16C2×C15111yescharacteristic, complemented
307#1572C2×C15111yescharacteristic, complemented
308#1497C2×C15111yescharacteristic, complemented
309#1478C2×C15111yescharacteristic
310#1454C2×C15111yescharacteristic, complemented
311#533C22×C15111yescharacteristic
312C2×C4×D4C22×C15111yescharacteristic
313#483C4×C15111yescharacteristic
314#483C4×C15111yescharacteristic
315#476C4×C15111yescharacteristic
316#476C4×C15111yescharacteristic
317#461C4×C15111yescharacteristic
318#461C4×C15111yescharacteristic
319#450C4×C15111yescharacteristic
320#450C4×C15111yescharacteristic
321#446—21no—
322#446C22×C15111yescharacteristic, complemented
323#446C22×C15111yescharacteristic, complemented
324C8×Q8—21no—
325C8×Q8C22×C15111yescharacteristic, complemented
326C8×Q8C22×C15111yescharacteristic, complemented
327C4×SD16C22×C15111yescharacteristic
328C4×SD16C22×C15111yescharacteristic
329C4×SD16C22×C15111yescharacteristic
330C4×SD16C22×C15111yescharacteristic
331#436C22×C15111yescharacteristic
332#436C22×C15111yescharacteristic
333#435—21no—
334#435—21no—
335C8×D4C22×C15111yescharacteristic
336C8×D4C22×C15111yescharacteristic
337#433—21no—
338#433—21no—
339#432C22×C15111yescharacteristic
340#431C22×C15111yescharacteristic
341#431C22×C15111yescharacteristic
342#431C22×C15111yescharacteristic
343#431C22×C15111yescharacteristic
344#407—21no—
345C2×C22⋊C8—21no—
346#335C22×C15111yescharacteristic, complemented
347#335C22×C15111yescharacteristic, complemented
348#334C22×C15111yescharacteristic, complemented
349#334C22×C15111yescharacteristic, complemented
350Q8⋊C8C22×C15111yescharacteristic, complemented
351Q8⋊C8C22×C15111yescharacteristic, complemented
352Q8⋊C8C22×C15111yescharacteristic, complemented
353Q8⋊C8C22×C15111yescharacteristic, complemented
354D4⋊C8C22×C15111yescharacteristic
355D4⋊C8C22×C15111yescharacteristic
356D4⋊C8C22×C15111yescharacteristic
357D4⋊C8C22×C15111yescharacteristic
358#322C22×C15111yescharacteristic, complemented
359#322C22×C15111yescharacteristic, complemented
360#322C22×C15111yescharacteristic, complemented
361C82C22×C15111yescharacteristic, complemented
362C22×D4C2×C4×C15111yescharacteristic
363C23×C4—21no—
364C2×SD16C2×C4×C15111yescharacteristic
365C2×SD16C2×C4×C15111yescharacteristic
366C2×SD16C2×C4×C15111yescharacteristic
367C2×SD16C2×C4×C15111yescharacteristic
368C2×M16—21no—
369C2×M16—21no—
370C22×C8—21no—
371C22×C8—21no—
372C4⋊Q8C2×C4×C15111yescharacteristic
373C4⋊Q8C2×C4×C15111yescharacteristic
374#125—21no—
375C22⋊Q8—21no—
376C22⋊Q8C2×C4×C15111yescharacteristic
377C22⋊Q8C2×C4×C15111yescharacteristic
378C4×Q8—21no—
379C4×Q8C23×C15111yescharacteristic
380C4×Q8C23×C15111yescharacteristic
381C4×D4—21no—
382C4×D4—21no—
383C4×D4C2×C4×C15111yescharacteristic
384C4×D4C2×C4×C15111yescharacteristic
385C4×D4C23×C15111yescharacteristic
386C4×D4C23×C15111yescharacteristic
387#117—21no—
388C2×C4⋊C4C2×C4×C15111yescharacteristic
389C2×C22⋊C4—21no—
390C2×C42C23×C15111yescharacteristic
391#106C2×C4×C15111yescharacteristic
392#106C2×C4×C15111yescharacteristic
393#106C2×C4×C15111yescharacteristic
394#106C2×C4×C15111yescharacteristic
395C4⋊C8—21no—
396C4⋊C8—21no—
397C4⋊C8—21no—
398C4⋊C8—21no—
399C4⋊C8—21no—
400C4⋊C8C2×C4×C15111yescharacteristic
401C4⋊C8C2×C4×C15111yescharacteristic
402C4⋊C8D4×C15111yescharacteristic
403C4⋊C8D4×C15111yescharacteristic
404C4⋊C8C23×C15111yescharacteristic
405C4⋊C8C23×C15111yescharacteristic
406C4⋊C8C23×C15111yescharacteristic
407C4⋊C8C23×C15111yescharacteristic
408#103C2×C4×C15111yescharacteristic
409#103C2×C4×C15111yescharacteristic
410#103C2×C4×C15111yescharacteristic
411#103C2×C4×C15111yescharacteristic
412#102C2×C4×C15111yescharacteristic
413#102C2×C4×C15111yescharacteristic
414#102C2×C4×C15111yescharacteristic
415#102C2×C4×C15111yescharacteristic
416C22⋊C8—21no—
417C22⋊C8—21no—
418C22⋊C8—21no—
419C22⋊C8—21no—
420C22⋊C8—21no—
421C22⋊C8—21no—
422C22⋊C8—21no—
423C22⋊C8C2×C4×C15111yescharacteristic
424C22⋊C8C2×C4×C15111yescharacteristic
425C22⋊C8D4×C15111yescharacteristic
426C22⋊C8D4×C15111yescharacteristic
427#97—21no—
428#97—21no—
429#97—21no—
430C4×C8—21no—
431C4×C8—21no—
432C4×C8—21no—
433C4×C8C23×C15111yescharacteristic
434C4×C8C23×C15111yescharacteristic
435C4×C8C23×C15111yescharacteristic
436C4×C8C23×C15111yescharacteristic
437C4×C8C23×C15111yescharacteristic
438C4×C8C23×C15111yescharacteristic
439C24—21no—
440C2×Q8—21no—
441C2×Q8C22×C4×C15111yescharacteristic
442C2×Q8C22×C4×C15111yescharacteristic
443C2×D4—22no—
444C2×D4—21no—
445C2×D4—41no—
446C2×D4C22×C4×C15111yescharacteristic
447C2×D4C22×C4×C15111yescharacteristic
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—81no—
454C22×C4—81no—
455C22×C4C22×C4×C15111yescharacteristic
456C22×C4C2×D4×C15111yescharacteristic
457C22×C4#41×C15111yescharacteristic
458SD16—22no—
459SD16—22no—
460SD16—41no—
461SD16—41no—
462M16—81no—
463M16—81no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—81no—
471C2×C8—81no—
472C2×C8C22×C4×C15111yescharacteristic
473C2×C8C22×C4×C15111yescharacteristic
474C2×C8C22×C4×C15111yescharacteristic
475C2×C8C22×C4×C15111yescharacteristic
476C2×C8C2×D4×C15111yescharacteristic
477C2×C8C2×D4×C15111yescharacteristic
478C2×C8C2×D4×C15111yescharacteristic
479C2×C8C2×D4×C15111yescharacteristic
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4C22×C4×C15111yescharacteristic
489C4⋊C4C22×C4×C15111yescharacteristic
490C4⋊C4C22×C4×C15111yescharacteristic
491C4⋊C4C22×C4×C15111yescharacteristic
492C22⋊C4—21no—
493C22⋊C4—21no—
494C22⋊C4—21no—
495C22⋊C4—21no—
496C22⋊C4—21no—
497C22⋊C4—21no—
498C42—21no—
499C42—21no—
500C42C22×C4×C15111yescharacteristic
501C42C2×D4×C15111yescharacteristic
502C42#41×C15111yescharacteristic
503C42C24×C15111yescharacteristic
504C23—21no—
505C23—21no—
506C23—42no—
507C23—42no—
508C23—81no—
509C23C4×D4×C15111yescharacteristic
510Q8—21no—
511Q8—21no—
512Q8—21no—
513Q8—21no—
514Q8—42no—
515D4—21no—
516D4—21no—
517D4—21no—
518D4—42no—
519D4#131×C15112yes—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—41no—
531C2×C4—41no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—41no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4C4×D4×C15111yescharacteristic
539C2×C4C4×D4×C15111yescharacteristic
540C2×C4C4×D4×C15111yescharacteristic
541C2×C4C23×C4×C15111yescharacteristic
542C2×C4C22×D4×C15111yescharacteristic
543C2×C4C2×#41×C15111yescharacteristic
544C8—21no—
545C8—21no—
546C8—21no—
547C8—21no—
548C8—21no—
549C8—21no—
550C8—21no—
551C8—21no—
552C8—41no—
553C8—41no—
554C8—41no—
555C8—41no—
556C8—41no—
557C8—41no—
558C22—21no—
559C22—22no—
560C22—21no—
561C22—21no—
562C22—41no—
563C22—41no—
564C22—41no—
565C22—41no—
566C22—41no—
567C22—84no—
568C22C2×C4×D4×C15111yescharacteristic
569C4—21no—
570C4—21no—
571C4—21no—
572C4—21no—
573C4—41no—
574C4—41no—
575C4—41no—
576C4—41no—
577C4—41no—
578C4—41no—
579C4C2×#131×C15111yescharacteristic
580C4#568×C15111yescharacteristic
581C4#577×C15111yescharacteristic
582C4#577×C15111yescharacteristic
583C2—41no—
584C2—42no—
585C2—81no—
586C2#2933×C15111yescharacteristic
587C2#2949×C15111yescharacteristic
588C2#2955×C15111yescharacteristic
subgroupG/H
centerC2×C4×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC42C24×C151
socleC22×C151C2×C4×D4
prime radicalC22×D4×C151C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C151 ◁ #431×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2986×C151C2semidirect
4. #1592×C151C2semidirect
5. #1590×C151C2semidirect
6. #1588×C151C2semidirect
7. #1585×C151C2semidirect
8. #1583×C151C2semidirect
9. #1582×C151C2semidirect
10. SD16⋊C8×C151C2semidirect
11. C8×SD16×C151C2semidirect
12. #1572×C151C2semidirect
13. #1497×C151C2semidirect
15. #1454×C151C2semidirect
27. #446×C151C22semidirect
28. #446×C151C22semidirect
30. C8×Q8×C151C22semidirect
31. C8×Q8×C151C22semidirect
51. #335×C151C22semidirect
52. #335×C151C22semidirect
53. #334×C151C22semidirect
54. #334×C151C22semidirect
55. Q8⋊C8×C151C22semidirect
56. Q8⋊C8×C151C22semidirect
57. Q8⋊C8×C151C22semidirect
58. Q8⋊C8×C151C22semidirect
63. #322×C151C22semidirect
64. #322×C151C22semidirect
65. #322×C151C22semidirect
66. C82×C151C22semidirect
294. #18028C151direct (N × H)
295. C151#18028direct (N × H)
297. #2986C2×C151semidirect
299. #1592C2×C151semidirect
300. #1590C2×C151semidirect
301. #1588C2×C151semidirect
302. #1585C2×C151semidirect
303. #1583C2×C151semidirect
304. #1582C2×C151semidirect
305. SD16⋊C8C2×C151semidirect
306. C8×SD16C2×C151semidirect
307. #1572C2×C151semidirect
308. #1497C2×C151semidirect
310. #1454C2×C151semidirect
322. #446C22×C151semidirect
323. #446C22×C151semidirect
325. C8×Q8C22×C151semidirect
326. C8×Q8C22×C151semidirect
346. #335C22×C151semidirect
347. #335C22×C151semidirect
348. #334C22×C151semidirect
349. #334C22×C151semidirect
350. Q8⋊C8C22×C151semidirect
351. Q8⋊C8C22×C151semidirect
352. Q8⋊C8C22×C151semidirect
353. Q8⋊C8C22×C151semidirect
358. #322C22×C151semidirect
359. #322C22×C151semidirect
360. #322C22×C151semidirect
361. C82C22×C151semidirect

Maximal subgroups

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

subgroupindex
#3101×C1512
#2986×C1512
#2974×C1512
#1592×C1512
#1590×C1512
#1588×C1512
#1585×C1512
#1583×C1512
#1582×C1512
SD16⋊C8×C1512
C8×SD16×C1512
#1572×C1512
#1497×C1512
#1478×C1512
#1454×C1512
#18028151