Finite Group Databasebeta

← #657952

Subgroups — #657952

Order 512.

3312 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2487C211yesmaximal, characteristic
2C2×#2487C211yesmaximal, characteristic
3C2×#2345C211yesmaximal, characteristic, complemented
4C22×#384C211yesmaximal, characteristic, complemented
5#15789C214yesmaximal, complemented
6#15765C214yesmaximal, complemented
7#15137C212yesmaximal, complemented
8#15131C212yesmaximal, complemented
9#14729C212yesmaximal
10#14728C212yesmaximal, complemented
11#14697C211yesmaximal, characteristic, complemented
12#14043C212yesmaximal, complemented
13#14019C212yesmaximal
14#14005C212yesmaximal, complemented
15#13924C211yesmaximal, characteristic, complemented
16#13876C212yesmaximal, complemented
17C4×#386C211yesmaximal, characteristic
18C22×C4×D4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C23×C4⋊C4C2212yes—
23C23×C42C2211yescharacteristic
24#2487—28no—
25#2487—28no—
26C2×#400C2212yes—
27C2×#400C2212yes—
28C2×#399C2212yes—
29C2×#399C2212yes—
30C2×#398C2214yes—
31C2×#396C2214yes—
32#2345—28no—
33C2×#389C2212yes—
34C2×#389C2212yes—
35C2×#389C2211yescharacteristic
36C2×#389C2212yes—
37C2×#389C2211yescharacteristic
38C2×#389C2214yes—
39C2×#388C2214yes—
40C2×#387C2214yes—
41C2×#386C2211yescharacteristic
42C2×#386C2212yes—
43C2×#386C2212yes—
44C2×#386C2211yescharacteristic
45C2×#385C2212yes—
46C2×#385C2212yes—
47C2×#385C2212yes—
48C2×#384—28no—
49C2×#384C2212yes—
50C2×#384C2212yes—
51C2×#384C2214yes—
52C2×#380C2211yescharacteristic
53C2×#380C2212yes—
54C2×#380C2211yescharacteristic
55C2×#380C2212yes—
56C2×#380C2211yescharacteristic
57C2×#380C2211yescharacteristic
58C2×C4×C4⋊C4C2212yes—
59C2×C4×C22⋊C4C2212yes—
60C2×C4×C22⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2212yes—
62#1445C2214yes—
63#1444C2214yes—
64#1444C2214yes—
65#1442C2214yes—
66#1442C2214yes—
67#1441C2214yes—
68#1441C2214yes—
69#1441C2214yes—
70#1441C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1437C2212yes—
74#1436C2214yes—
75#1436C2214yes—
76#1436C2212yes—
77#1436C2214yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2211yescharacteristic
85C22⋊#95C2211yescharacteristic
86C4×#95C2212yes—
87C23×D4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2312yes—
93C24×C4C2312yes—
94C2×C4×D4—24no—
95C2×C4×D4—24no—
96C2×C4×D4—24no—
97C22×C4⋊C4—24no—
98C22×C4⋊C4—24no—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—28no—
101C22×C4⋊C4—28no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—48no—
105C22×C4⋊C4—48no—
106C22×C4⋊C4D418yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C42—24no—
137C22×C42—28no—
138C22×C42C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141C22×C42C2312yes—
142C22×C42C2314yes—
143#400—28no—
144#400—28no—
145#399—28no—
146#399—28no—
147#398—48no—
148#396—48no—
149#389—28no—
150#389—28no—
151#389—24no—
152#389—24no—
153#389—28no—
154#389—48no—
155#388—48no—
156#387—216no—
157#386—28no—
158#386—24no—
159#386—28no—
160#386Q818yes—
161#385—28no—
162#385—28no—
163#385—28no—
164#384—28no—
165#384—28no—
166#384—216no—
167#380—24no—
168#380—28no—
169#380—24no—
170#380—24no—
171#380—28no—
172#380D418yes—
173C4×C4⋊C4—28no—
174C4×C22⋊C4—24no—
175C4×C22⋊C4—28no—
176C4×C22⋊C4—28no—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C25C2411yescharacteristic
202C25C2411yescharacteristic
203C22×D4—22no—
204C22×D4—22no—
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4C2×Q814yes—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4C2×D414yes—
235C23×C4C2×D414yes—
236C23×C4C2×D418yes—
237C23×C4C2×Q814yes—
238C23×C4#4114yes—
239C23×C4#4114yes—
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2414yes—
245C23×C4C2411yescharacteristic
246C23×C4C2414yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C4×D4—416no—
256C2×C4⋊C4—232no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—432no—
298C2×C4⋊C4—432no—
299C2×C4⋊C4—416no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4C2×D414yes—
307C2×C4⋊C4C2×D414yes—
308C2×C4⋊C4C2×D418yes—
309C2×C4⋊C4C2×D418yes—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—22no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—22no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4C2×D418yes—
339C2×C22⋊C4C2×Q814yes—
340C2×C22⋊C4C2×Q818yes—
341C2×C42—232no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—24no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—24no—
353C2×C42—28no—
354C2×C42—44no—
355C2×C42—44no—
356C2×C42#4118yes—
357#95—24no—
358#95—28no—
359#95—28no—
360#95—24no—
361#95—24no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—28no—
367#95—24no—
368#95—24no—
369#95—28no—
370#95—24no—
371#95—28no—
372#95—28no—
373#95—24no—
374#95—24no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95C2×D418yes—
380#95C2×Q818yes—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—21no—
386C24—21no—
387C24—22no—
388C24—21no—
389C24—21no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—21no—
395C24C22×D412yes—
396C24C22×D412yes—
397C24C22×Q812yes—
398C24C22×Q812yes—
399C24C2×#4112yes—
400C24C2×#4112yes—
401C242−1+412yes—
402C242−1+412yes—
403C24C2511yescharacteristic
404C2×D4—28no—
405C2×D4—28no—
406C2×D4—28no—
407C2×D4—44no—
408C2×D4—44no—
409C2×D4—44no—
410C2×D4—44no—
411C22×C4—28no—
412C22×C4—28no—
413C22×C4—28no—
414C22×C4—28no—
415C22×C4—216no—
416C22×C4—216no—
417C22×C4—28no—
418C22×C4—28no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—216no—
432C22×C4—216no—
433C22×C4—216no—
434C22×C4—216no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—216no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4—88no—
510C22×C4#121116yes—
511C22×C4C22×D418yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×Q812yes—
519C22×C4C22×Q814yes—
520C22×C4C22×Q814yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4114yes—
523C22×C4C2×#4114yes—
524C22×C4C2×#4114yes—
525C22×C4C2×#4112yes—
526C22×C4C2×#4114yes—
527C22×C4H(5,𝔽2)14yes—
528C22×C4H(5,𝔽2)14yes—
529C22×C42−1+414yes—
530C4⋊C4—216no—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—216no—
534C4⋊C4—416no—
535C4⋊C4—416no—
536C4⋊C4—416no—
537C4⋊C4—416no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—416no—
544C4⋊C4—84no—
545C4⋊C4—84no—
546C4⋊C4—88no—
547C4⋊C4—88no—
548C22⋊C4—216no—
549C22⋊C4—28no—
550C22⋊C4—216no—
551C22⋊C4—44no—
552C22⋊C4—44no—
553C22⋊C4—48no—
554C22⋊C4—44no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—88no—
559C42—216no—
560C42—216no—
561C42—44no—
562C42—48no—
563C42—88no—
564C23—22no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—41no—
591C23—41no—
592C23—42no—
593C23—42no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23C2×#12114yes—
604C23#53314yes—
605C23#54114yes—
606C23#54714yes—
607C23#54814yes—
608C23D4×Q814yes—
609C23D4×Q814yes—
610C23C23×D411yescharacteristic
611C23C23×D411yescharacteristic
612C23C23×Q811yescharacteristic
613C23C22×#4111yescharacteristic
614C23C22×#4112yes—
615C23C22×#4111yescharacteristic
616C23C2×H(5,𝔽2)12yes—
617C23C2×H(5,𝔽2)12yes—
618C23C2×2−1+412yes—
619C23C2×2−1+411yescharacteristic
620C23C2×2−1+411yescharacteristic
621D4—416no—
622C2×C4—232no—
623C2×C4—232no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—232no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—816no—
707C2×C4—816no—
708C2×C4—88no—
709C2×C4C2×#12114yes—
710C2×C4C2×#12114yes—
711C2×C4#52514yes—
712C2×C4#53614yes—
713C2×C4#54718yes—
714C2×C4#55218yes—
715C2×C4#55318yes—
716C2×C4#55418yes—
717C22—24no—
718C22—28no—
719C22—24no—
720C22—28no—
721C22—24no—
722C22—28no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—28no—
727C22—44no—
728C22—42no—
729C22—42no—
730C22—44no—
731C22—42no—
732C22—81no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—82no—
738C22#242918yes—
739C22C22×#12111yescharacteristic
740C22C2×#52511yescharacteristic
741C22C2×#53311yescharacteristic
742C22C2×#53611yescharacteristic
743C22C2×#54111yescharacteristic
744C22C2×#54711yescharacteristic
745C22C2×#54712yes—
746C22C2×#54811yescharacteristic
747C22C2×D4×Q811yescharacteristic
748C22C2×D4×Q811yescharacteristic
749C22C2×#55212yes—
750C22C2×#55312yes—
751C22C2×#55412yes—
752C22#348411yescharacteristic
753C22#348411yescharacteristic
754C22#349212yes—
755C22#349212yes—
756C22#349812yes—
757C22#350312yes—
758C22#350812yes—
759C22#351112yes—
760C22#355212yes—
761C22#355212yes—
762C4—24no—
763C4—28no—
764C4—28no—
765C4—42no—
766C4—48no—
767C4—44no—
768C4—44no—
769C4—44no—
770C4—82no—
771C4—82no—
772C4—81no—
773C4—81no—
774C4—84no—
775C4—82no—
776C4#241318yes—
777C2—28no—
778C2—82no—
779C2C2×#242911yescharacteristic
780C2C2×#241311yescharacteristic
781C2#3552811yescharacteristic
782C2#3618912yes—
783C2#3654611yescharacteristic
784C2#3658111yescharacteristic
785C2#3788212yes—
786C2#3959211yescharacteristic
787C2#3972011yescharacteristic
788C2#5930412yes—
789C2#5931412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2345C2semidirect
4. C22×#384C2semidirect
5. #15789C2semidirect
6. #15765C2semidirect
7. #15137C2semidirect
8. #15131C2semidirect
10. #14728C2semidirect
11. #14697C2semidirect
12. #14043C2semidirect
14. #14005C2semidirect
15. #13924C2semidirect
16. #13876C2semidirect

Maximal subgroups

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

subgroupindex
C2×#24872
C2×#23452
C22×#3842
#157892
#157652
#151372
#151312
#147292
#147282
#146972
#140432
#140192
#140052
#139242
#138762
C4×#3862