Finite Group Databasebeta

← C151×#21421 #50326346

Subgroups — C151×#21421 #50326346

Order 38656.

1222 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#529×C151C211yesmaximal, characteristic
2#2283×C151C211yesmaximal, characteristic, complemented
3C4×#117×C151C211yesmaximal, characteristic, complemented
4#1996×C151C212yesmaximal, complemented
5#1964×C151C212yesmaximal
6#1899×C151C214yesmaximal, complemented
7C4×#99×C151C214yesmaximal, complemented
8#529×C151—21no—
9#529×C151—21no—
10#529×C151—21no—
11#529×C151—21no—
12#529×C151—21no—
13#529×C151—21no—
14#529×C151—21no—
15#529×C151—21no—
16C2×#126×C151C412yescomplemented
17C2×#125×C151C411yescharacteristic, complemented
18C2×#124×C151C411yescharacteristic, complemented
19C2×#123×C151C2212yes—
20C2×C22⋊Q8×C151C2211yescharacteristic
21C2×#121×C151C2211yescharacteristic
22C2×C4×Q8×C151C411yescharacteristic, complemented
23C2×C4×D4×C151C411yescharacteristic, complemented
24C2×C4×D4×C151C2212yes—
25C2×#117×C151C412yescomplemented
26C2×#117×C151C2212yes—
27C22×C42×C151C2211yescharacteristic
28C2×#99×C151C2218yes—
29#383×C151—21no—
30#382×C151—21no—
31#381×C151C2212yes—
32#380×C151C2212yes—
33C4×C4⋊C4×C151—21no—
34C4×C4⋊C4×C151—21no—
35C4×C4⋊C4×C151—21no—
36C4×C22⋊C4×C151C2212yes—
37C4×C22⋊C4×C151C2212yes—
38C4×C22⋊C4×C151C2212yes—
39#376×C151—21no—
40#376×C151—21no—
41C43×C151—21no—
42#342×C151C2218yes—
43C22×Q8×C151C2×C411yescharacteristic
44C22×D4×C151C2×C411yescharacteristic
45C22×D4×C151C2312yes—
46C23×C4×C151C2×C412yes—
47C23×C4×C151C2311yescharacteristic
48C23×C4×C151C2311yescharacteristic
49C23×C4×C151C2311yescharacteristic
50#126×C151—22no—
51#126×C151—22no—
52#126×C151—22no—
53#126×C151—22no—
54#125×C151—21no—
55#125×C151—21no—
56#125×C151—21no—
57#125×C151—21no—
58#124×C151—21no—
59#124×C151—21no—
60#124×C151—21no—
61#124×C151—21no—
62#123×C151—22no—
63#123×C151—22no—
64#123×C151—22no—
65#123×C151—22no—
66C22⋊Q8×C151—21no—
67C22⋊Q8×C151—21no—
68C22⋊Q8×C151—21no—
69C22⋊Q8×C151—21no—
70#121×C151—21no—
71#121×C151—21no—
72#121×C151—21no—
73#121×C151—21no—
74C4×Q8×C151—21no—
75C4×Q8×C151—21no—
76C4×Q8×C151—21no—
77C4×Q8×C151—21no—
78C4×D4×C151—22no—
79C4×D4×C151—22no—
80C4×D4×C151—22no—
81C4×D4×C151—22no—
82C4×D4×C151—21no—
83C4×D4×C151—21no—
84C4×D4×C151—21no—
85C4×D4×C151—21no—
86#117×C151—28no—
87#117×C151—22no—
88#117×C151—22no—
89#117×C151—22no—
90#117×C151—22no—
91C2×C4⋊C4×C151—22no—
92C2×C4⋊C4×C151—22no—
93C2×C4⋊C4×C151C2×C412yes—
94C2×C4⋊C4×C151C2×C412yes—
95C2×C4⋊C4×C151C2×C411yescharacteristic
96C2×C4⋊C4×C151C2×C412yes—
97C2×C4⋊C4×C151C2×C411yescharacteristic
98C2×C4⋊C4×C151C2×C412yes—
99C2×C22⋊C4×C151C2×C412yes—
100C2×C22⋊C4×C151C2×C412yes—
101C2×C22⋊C4×C151C2×C412yes—
102C2×C22⋊C4×C151C2×C412yes—
103C2×C22⋊C4×C151C2314yes—
104C2×C22⋊C4×C151C2312yes—
105C2×C22⋊C4×C151C2314yes—
106C2×C42×C151—22no—
107C2×C42×C151—22no—
108C2×C42×C151—22no—
109C2×C42×C151—22no—
110C2×C42×C151C2×C412yes—
111C2×C42×C151C2×C411yescharacteristic
112C2×C42×C151C2×C411yescharacteristic
113C2×C42×C151C2×C411yescharacteristic
114C2×C42×C151C2×C411yescharacteristic
115C2×C42×C151D411yescharacteristic
116C2×C42×C151D411yescharacteristic
117C2×C42×C151D411yescharacteristic
118C2×C42×C151D411yescharacteristic
119C2×C42×C151D411yescharacteristic
120C2×C42×C151D411yescharacteristic
121C2×C42×C151D411yescharacteristic
122C2×C42×C151D411yescharacteristic
123#99×C151—216no—
124#95×C151—22no—
125#95×C151—22no—
126#95×C151—22no—
127#95×C151—22no—
128#95×C151—22no—
129#95×C151—22no—
130C24×C151C22×C412yes—
131C24×C151C2411yescharacteristic
132C2×Q8×C151—21no—
133C2×Q8×C151—21no—
134C2×Q8×C151—42no—
135C2×D4×C151—22no—
136C2×D4×C151—22no—
137C2×D4×C151—28no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151—42no—
141C22×C4×C151—24no—
142C22×C4×C151—24no—
143C22×C4×C151—22no—
144C22×C4×C151—22no—
145C22×C4×C151—24no—
146C22×C4×C151—42no—
147C22×C4×C151—42no—
148C22×C4×C151—44no—
149C22×C4×C151C22×C412yes—
150C22×C4×C151C22×C411yescharacteristic
151C22×C4×C151C22×C411yescharacteristic
152C22×C4×C151C22×C411yescharacteristic
153C22×C4×C151C22×C411yescharacteristic
154C22×C4×C151C22×C412yes—
155C22×C4×C151C22×C412yes—
156C22×C4×C151C22×C411yescharacteristic
157C22×C4×C151C22×C411yescharacteristic
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2×D411yescharacteristic
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×D411yescharacteristic
164C22×C4×C151C2×D411yescharacteristic
165C22×C4×C151C2×D411yescharacteristic
166C22×C4×C151C2×D411yescharacteristic
167C22×C4×C151C2×D411yescharacteristic
168C22×C4×C151C2×D411yescharacteristic
169C22×C4×C151C2×D411yescharacteristic
170C4⋊C4×C151—28no—
171C4⋊C4×C151—22no—
172C4⋊C4×C151—22no—
173C4⋊C4×C151—22no—
174C4⋊C4×C151—22no—
175C4⋊C4×C151—21no—
176C4⋊C4×C151—21no—
177C4⋊C4×C151—22no—
178C4⋊C4×C151—22no—
179C4⋊C4×C151—21no—
180C4⋊C4×C151—21no—
181C4⋊C4×C151—22no—
182C4⋊C4×C151—22no—
183C4⋊C4×C151—44no—
184C22⋊C4×C151—22no—
185C22⋊C4×C151—22no—
186C22⋊C4×C151—24no—
187C22⋊C4×C151—22no—
188C22⋊C4×C151—22no—
189C22⋊C4×C151—22no—
190C22⋊C4×C151—22no—
191C22⋊C4×C151—22no—
192C22⋊C4×C151—22no—
193C22⋊C4×C151—22no—
194C22⋊C4×C151—22no—
195C22⋊C4×C151—28no—
196C22⋊C4×C151#4118yes—
197C42×C151—28no—
198C42×C151—22no—
199C42×C151—22no—
200C42×C151—44no—
201C42×C151—44no—
202C42×C151—44no—
203C42×C151C22⋊C411yescharacteristic
204C42×C151C22⋊C411yescharacteristic
205C42×C151C22⋊C411yescharacteristic
206C42×C151C22⋊C411yescharacteristic
207C42×C151C22⋊C411yescharacteristic
208C42×C151C22⋊C411yescharacteristic
209C42×C151C22⋊C411yescharacteristic
210C42×C151C22⋊C411yescharacteristic
211C42×C151C22⋊C411yescharacteristic
212C42×C151C22⋊C411yescharacteristic
213C42×C151C22⋊C411yescharacteristic
214C42×C151C22⋊C411yescharacteristic
215C42×C151C22⋊C411yescharacteristic
216C42×C151C22⋊C411yescharacteristic
217C42×C151C22⋊C411yescharacteristic
218C42×C151C22⋊C411yescharacteristic
219C23×C151—22no—
220C23×C151—24no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—42no—
224C23×C151—42no—
225C23×C151C23×C411yescharacteristic
226C23×C151C22×D411yescharacteristic
227C23×C151C22×D411yescharacteristic
228C23×C151C2×#4114yes—
229Q8×C151—42no—
230Q8×C151—42no—
231D4×C151—42no—
232D4×C151—44no—
233D4×C151—44no—
234D4×C151—42no—
235C2×C4×C151—22no—
236C2×C4×C151—22no—
237C2×C4×C151—22no—
238C2×C4×C151—22no—
239C2×C4×C151—22no—
240C2×C4×C151—22no—
241C2×C4×C151—22no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—22no—
245C2×C4×C151—22no—
246C2×C4×C151—22no—
247C2×C4×C151—22no—
248C2×C4×C151—22no—
249C2×C4×C151—22no—
250C2×C4×C151—24no—
251C2×C4×C151—28no—
252C2×C4×C151—41no—
253C2×C4×C151—41no—
254C2×C4×C151—41no—
255C2×C4×C151—41no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
258C2×C4×C151—44no—
259C2×C4×C151—44no—
260C2×C4×C151—44no—
261C2×C4×C151—44no—
262C2×C4×C151—42no—
263C2×C4×C151—42no—
264C2×C4×C151—44no—
265C2×C4×C151—44no—
266C2×C4×C151—44no—
267C2×C4×C151C2×C22⋊C411yescharacteristic
268C2×C4×C151C2×C22⋊C411yescharacteristic
269C2×C4×C151C2×C22⋊C411yescharacteristic
270C2×C4×C151C2×C22⋊C411yescharacteristic
271C2×C4×C151C2×C22⋊C411yescharacteristic
272C2×C4×C151C2×C22⋊C411yescharacteristic
273C2×C4×C151C2×C22⋊C411yescharacteristic
274C2×C4×C151C2×C22⋊C411yescharacteristic
275C2×C4×C151C2×C22⋊C411yescharacteristic
276C2×C4×C151C2×C22⋊C411yescharacteristic
277C2×C4×C151C2×C22⋊C411yescharacteristic
278C2×C4×C151C2×C22⋊C411yescharacteristic
279C22×C151—21no—
280C22×C151—21no—
281C22×C151—21no—
282C22×C151—21no—
283C22×C151—21no—
284C22×C151—21no—
285C22×C151—44no—
286C22×C151—42no—
287C22×C151—42no—
288C22×C151—42no—
289C22×C151—84no—
290C22×C151C22×C22⋊C411yescharacteristic
291C22×C151C4×#4112yes—
292C22×C151#52512yes—
293C22×C151#53212yes—
294C4×C151—21no—
295C4×C151—21no—
296C4×C151—21no—
297C4×C151—21no—
298C4×C151—21no—
299C4×C151—21no—
300C4×C151—21no—
301C4×C151—21no—
302C4×C151—21no—
303C4×C151—21no—
304C4×C151—48no—
305C4×C151—42no—
306C4×C151—42no—
307C4×C151—42no—
308C4×C151—84no—
309C4×C151#41012yes—
310C4×C151#41012yes—
311C2×C151—22no—
312C2×C151—22no—
313C2×C151—22no—
314C2×C151—82no—
315C2×C151#229711yescharacteristic
316C2×C151C2×#41011yescharacteristic
317C2×C151C2×#41011yescharacteristic
318#21421C15111yesmaximal, characteristic, direct product factor, Sylow
319C151#2142111yescharacteristic, direct product factor, Sylow
320C2×#529C2×C15111yescharacteristic
321#2283C2×C15111yescharacteristic, complemented
322C4×#117C2×C15111yescharacteristic, complemented
323#1996C2×C15112yescomplemented
324#1964C2×C15112yes—
325#1899C2×C15114yescomplemented
326C4×#99C2×C15114yescomplemented
327#529—21no—
328#529—21no—
329#529—21no—
330#529—21no—
331#529—21no—
332#529—21no—
333#529—21no—
334#529—21no—
335C2×#126C4×C15112yescomplemented
336C2×#125C4×C15111yescharacteristic, complemented
337C2×#124C4×C15111yescharacteristic, complemented
338C2×#123C22×C15112yes—
339C2×C22⋊Q8C22×C15111yescharacteristic
340C2×#121C22×C15111yescharacteristic
341C2×C4×Q8C4×C15111yescharacteristic, complemented
342C2×C4×D4C4×C15111yescharacteristic, complemented
343C2×C4×D4C22×C15112yes—
344C2×#117C4×C15112yescomplemented
345C2×#117C22×C15112yes—
346C22×C42C22×C15111yescharacteristic
347C2×#99C22×C15118yes—
348#383—21no—
349#382—21no—
350#381C22×C15112yes—
351#380C22×C15112yes—
352C4×C4⋊C4—21no—
353C4×C4⋊C4—21no—
354C4×C4⋊C4—21no—
355C4×C22⋊C4C22×C15112yes—
356C4×C22⋊C4C22×C15112yes—
357C4×C22⋊C4C22×C15112yes—
358#376—21no—
359#376—21no—
360C43—21no—
361#342C22×C15118yes—
362C22×Q8C2×C4×C15111yescharacteristic
363C22×D4C2×C4×C15111yescharacteristic
364C22×D4C23×C15112yes—
365C23×C4C2×C4×C15112yes—
366C23×C4C23×C15111yescharacteristic
367C23×C4C23×C15111yescharacteristic
368C23×C4C23×C15111yescharacteristic
369#126—22no—
370#126—22no—
371#126—22no—
372#126—22no—
373#125—21no—
374#125—21no—
375#125—21no—
376#125—21no—
377#124—21no—
378#124—21no—
379#124—21no—
380#124—21no—
381#123—22no—
382#123—22no—
383#123—22no—
384#123—22no—
385C22⋊Q8—21no—
386C22⋊Q8—21no—
387C22⋊Q8—21no—
388C22⋊Q8—21no—
389#121—21no—
390#121—21no—
391#121—21no—
392#121—21no—
393C4×Q8—21no—
394C4×Q8—21no—
395C4×Q8—21no—
396C4×Q8—21no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—21no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405#117—28no—
406#117—22no—
407#117—22no—
408#117—22no—
409#117—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4C2×C4×C15112yes—
413C2×C4⋊C4C2×C4×C15112yes—
414C2×C4⋊C4C2×C4×C15111yescharacteristic
415C2×C4⋊C4C2×C4×C15112yes—
416C2×C4⋊C4C2×C4×C15111yescharacteristic
417C2×C4⋊C4C2×C4×C15112yes—
418C2×C22⋊C4C2×C4×C15112yes—
419C2×C22⋊C4C2×C4×C15112yes—
420C2×C22⋊C4C2×C4×C15112yes—
421C2×C22⋊C4C2×C4×C15112yes—
422C2×C22⋊C4C23×C15114yes—
423C2×C22⋊C4C23×C15112yes—
424C2×C22⋊C4C23×C15114yes—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42C2×C4×C15112yes—
430C2×C42C2×C4×C15111yescharacteristic
431C2×C42C2×C4×C15111yescharacteristic
432C2×C42C2×C4×C15111yescharacteristic
433C2×C42C2×C4×C15111yescharacteristic
434C2×C42D4×C15111yescharacteristic
435C2×C42D4×C15111yescharacteristic
436C2×C42D4×C15111yescharacteristic
437C2×C42D4×C15111yescharacteristic
438C2×C42D4×C15111yescharacteristic
439C2×C42D4×C15111yescharacteristic
440C2×C42D4×C15111yescharacteristic
441C2×C42D4×C15111yescharacteristic
442#99—216no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449C24C22×C4×C15112yes—
450C24C24×C15111yescharacteristic
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8—42no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—28no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—42no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—44no—
468C22×C4C22×C4×C15112yes—
469C22×C4C22×C4×C15111yescharacteristic
470C22×C4C22×C4×C15111yescharacteristic
471C22×C4C22×C4×C15111yescharacteristic
472C22×C4C22×C4×C15111yescharacteristic
473C22×C4C22×C4×C15112yes—
474C22×C4C22×C4×C15112yes—
475C22×C4C22×C4×C15111yescharacteristic
476C22×C4C22×C4×C15111yescharacteristic
477C22×C4C2×D4×C15111yescharacteristic
478C22×C4C2×D4×C15111yescharacteristic
479C22×C4C2×D4×C15111yescharacteristic
480C22×C4C2×D4×C15111yescharacteristic
481C22×C4C2×D4×C15111yescharacteristic
482C22×C4C2×D4×C15111yescharacteristic
483C22×C4C2×D4×C15111yescharacteristic
484C22×C4C2×D4×C15111yescharacteristic
485C22×C4C2×D4×C15111yescharacteristic
486C22×C4C2×D4×C15111yescharacteristic
487C22×C4C2×D4×C15111yescharacteristic
488C22×C4C2×D4×C15111yescharacteristic
489C4⋊C4—28no—
490C4⋊C4—22no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—44no—
503C22⋊C4—22no—
504C22⋊C4—22no—
505C22⋊C4—24no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—28no—
515C22⋊C4#41×C15118yes—
516C42—28no—
517C42—22no—
518C42—22no—
519C42—44no—
520C42—44no—
521C42—44no—
522C42C22⋊C4×C15111yescharacteristic
523C42C22⋊C4×C15111yescharacteristic
524C42C22⋊C4×C15111yescharacteristic
525C42C22⋊C4×C15111yescharacteristic
526C42C22⋊C4×C15111yescharacteristic
527C42C22⋊C4×C15111yescharacteristic
528C42C22⋊C4×C15111yescharacteristic
529C42C22⋊C4×C15111yescharacteristic
530C42C22⋊C4×C15111yescharacteristic
531C42C22⋊C4×C15111yescharacteristic
532C42C22⋊C4×C15111yescharacteristic
533C42C22⋊C4×C15111yescharacteristic
534C42C22⋊C4×C15111yescharacteristic
535C42C22⋊C4×C15111yescharacteristic
536C42C22⋊C4×C15111yescharacteristic
537C42C22⋊C4×C15111yescharacteristic
538C23—22no—
539C23—24no—
540C23—41no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23C23×C4×C15111yescharacteristic
545C23C22×D4×C15111yescharacteristic
546C23C22×D4×C15111yescharacteristic
547C23C2×#41×C15114yes—
548Q8—42no—
549Q8—42no—
550D4—42no—
551D4—44no—
552D4—44no—
553D4—42no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—28no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—44no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—44no—
581C2×C4—42no—
582C2×C4—42no—
583C2×C4—44no—
584C2×C4—44no—
585C2×C4—44no—
586C2×C4C2×C22⋊C4×C15111yescharacteristic
587C2×C4C2×C22⋊C4×C15111yescharacteristic
588C2×C4C2×C22⋊C4×C15111yescharacteristic
589C2×C4C2×C22⋊C4×C15111yescharacteristic
590C2×C4C2×C22⋊C4×C15111yescharacteristic
591C2×C4C2×C22⋊C4×C15111yescharacteristic
592C2×C4C2×C22⋊C4×C15111yescharacteristic
593C2×C4C2×C22⋊C4×C15111yescharacteristic
594C2×C4C2×C22⋊C4×C15111yescharacteristic
595C2×C4C2×C22⋊C4×C15111yescharacteristic
596C2×C4C2×C22⋊C4×C15111yescharacteristic
597C2×C4C2×C22⋊C4×C15111yescharacteristic
598C22—21no—
599C22—21no—
600C22—21no—
601C22—21no—
602C22—21no—
603C22—21no—
604C22—44no—
605C22—42no—
606C22—42no—
607C22—42no—
608C22—84no—
609C22C22×C22⋊C4×C15111yescharacteristic
610C22C4×#41×C15112yes—
611C22#525×C15112yes—
612C22#532×C15112yes—
613C4—21no—
614C4—21no—
615C4—21no—
616C4—21no—
617C4—21no—
618C4—21no—
619C4—21no—
620C4—21no—
621C4—21no—
622C4—21no—
623C4—48no—
624C4—42no—
625C4—42no—
626C4—42no—
627C4—84no—
628C4#410×C15112yes—
629C4#410×C15112yes—
630C2—22no—
631C2—22no—
632C2—22no—
633C2—82no—
634C2#2297×C15111yescharacteristic
635C2C2×#410×C15111yescharacteristic
636C2C2×#410×C15111yescharacteristic
subgroupG/H
centerC2×C4×C151C2×C22⋊C4
commutatorC23C23×C4×C151
Frattini, cosocleC24C24×C151
socleC22×C151C22×C22⋊C4
prime radicalC2×#121×C151C22
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C151 ◁ C22×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2283×C151C2semidirect
3. C4×#117×C151C2semidirect
4. #1996×C151C2semidirect
6. #1899×C151C2semidirect
7. C4×#99×C151C2semidirect
16. C2×#126×C151C4semidirect
17. C2×#125×C151C4semidirect
18. C2×#124×C151C4semidirect
22. C2×C4×Q8×C151C4semidirect
23. C2×C4×D4×C151C4semidirect
25. C2×#117×C151C4semidirect
318. #21421C151direct (N × H)
319. C151#21421direct (N × H)
321. #2283C2×C151semidirect
322. C4×#117C2×C151semidirect
323. #1996C2×C151semidirect
325. #1899C2×C151semidirect
326. C4×#99C2×C151semidirect
335. C2×#126C4×C151semidirect
336. C2×#125C4×C151semidirect
337. C2×#124C4×C151semidirect
341. C2×C4×Q8C4×C151semidirect
342. C2×C4×D4C4×C151semidirect
344. C2×#117C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#529×C1512
#2283×C1512
C4×#117×C1512
#1996×C1512
#1964×C1512
#1899×C1512
C4×#99×C1512
#21421151