Finite Group Databasebeta

← #946063

Subgroups — #946063

Order 512.

2464 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2504C211yesmaximal, characteristic
2C2×#2497C211yesmaximal, characteristic, complemented
3#17110C214yesmaximal, complemented
4#16335C214yesmaximal, complemented
5#16323C214yesmaximal, complemented
6#15345C214yesmaximal, complemented
7#15239C211yesmaximal, characteristic, complemented
8#15231C211yesmaximal, characteristic, complemented
9#15219C211yesmaximal, characteristic
10#15219C211yesmaximal, characteristic
11#15155C211yesmaximal, characteristic, complemented
12#15134C211yesmaximal, characteristic, complemented
13#14354C211yesmaximal, characteristic, complemented
14#14260C211yesmaximal, characteristic, complemented
15#14001C211yesmaximal, characteristic, complemented
16#13909C211yesmaximal, characteristic, complemented
17#13880C211yesmaximal, characteristic, complemented
18#13880C211yesmaximal, characteristic, complemented
19#13842C211yesmaximal, characteristic, complemented
20C22×#121C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22#2504—28no—
23#2497—28no—
24C2×#400C2212yes—
25C2×#399C2214yes—
26C2×#399C2214yes—
27C2×#397C2212yes—
28C2×#397C2212yes—
29C2×#396C2212yes—
30C2×#396C2214yes—
31C2×#390C2211yescharacteristic
32C2×#390C2211yescharacteristic
33C2×#390C2211yescharacteristic
34C2×#390C2211yescharacteristic
35C2×#390C2211yescharacteristic
36C2×#390C2211yescharacteristic
37C2×#389C2211yescharacteristic
38C2×#389C2211yescharacteristic
39C2×#388C2212yes—
40C2×#388C2214yes—
41C2×#387C2212yes—
42C2×#386C2212yes—
43C2×#386C2212yes—
44C2×#385C2214yes—
45C2×#385C2214yes—
46C2×#384C2211yescharacteristic
47C2×#384C2211yescharacteristic
48C2×#384C2211yescharacteristic
49C2×#384C2211yescharacteristic
50C2×#384C2211yescharacteristic
51C2×#382C2211yescharacteristic
52C2×#382C2211yescharacteristic
53C2×#382C2211yescharacteristic
54C2×#382C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C4⋊C4C2211yescharacteristic
59C2×C4×C22⋊C4C2211yescharacteristic
60C2×C4×C22⋊C4C2211yescharacteristic
61C2×C4×C22⋊C4C2211yescharacteristic
62C2×#376C2211yescharacteristic
63#1444C2214yes—
64#1444C2214yes—
65#1444C2214yes—
66#1444C2214yes—
67#1443C2212yes—
68#1443C2214yes—
69#1442C2212yes—
70#1442C2214yes—
71#1442C2214yes—
72#1441C2214yes—
73#1441C2214yes—
74#1440C2212yes—
75#1440C2214yes—
76#1440C2214yes—
77#1440C2214yes—
78#1439C2212yes—
79#1439C2214yes—
80#1439C2214yes—
81#1439C2214yes—
82#1438C2214yes—
83#1438C2214yes—
84#1436C2214yes—
85C4⋊#95C2211yescharacteristic
86C4⋊#95C2211yescharacteristic
87C4⋊#95C2211yescharacteristic
88C4⋊#95C2211yescharacteristic
89C4⋊#95C2211yescharacteristic
90C4⋊#95C2211yescharacteristic
91C4×#95C2211yescharacteristic
92C4×#95C2211yescharacteristic
93C23×D4C2311yescharacteristic
94C23×D4C2312yes—
95C24×C4C2311yescharacteristic
96C24×C4C2312yes—
97C2×#121—24no—
98C2×#121—42no—
99C2×#121—42no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—42no—
102C22×C4⋊C4—42no—
103C22×C4⋊C4C2311yescharacteristic
104C22×C4⋊C4C2311yescharacteristic
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2311yescharacteristic
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2311yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2312yes—
142#400—28no—
143#399—48no—
144#399—48no—
145#397—28no—
146#397—28no—
147#396—28no—
148#396—48no—
149#390—24no—
150#390—24no—
151#390—24no—
152#390—24no—
153#390—42no—
154#390—42no—
155#389—24no—
156#389—24no—
157#388—28no—
158#388—48no—
159#387—28no—
160#386—28no—
161#386—28no—
162#385—48no—
163#385—48no—
164#384—24no—
165#384—42no—
166#384—42no—
167#384—42no—
168#384—42no—
169#382—24no—
170#382—24no—
171#382—42no—
172#382—42no—
173#380—24no—
174#380—24no—
175C4×C4⋊C4—24no—
176C4×C4⋊C4—24no—
177C4×C22⋊C4—24no—
178C4×C22⋊C4—24no—
179C4×C22⋊C4D418yes—
180#376—24no—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C2×#95C2314yes—
205C2×#95C2314yes—
206C2×#95C2314yes—
207C2×#95C2311yescharacteristic
208C2×#95C2311yescharacteristic
209C25C2412yes—
210C25C2411yescharacteristic
211C22×D4—24no—
212C22×D4—28no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—42no—
221C22×D4—42no—
222C22×D4—44no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4C2×D414yes—
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2411yescharacteristic
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252#121—416no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—416no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4C2×D414yes—
337C2×C22⋊C4C2×D414yes—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—22no—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—24no—
353C2×C42—44no—
354C2×C42C2×D414yes—
355C2×C42C2×D414yes—
356C2×C42#4114yes—
357C2×C42#4114yes—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—28no—
373#95—28no—
374#95—24no—
375#95—24no—
376#95—24no—
377#95—42no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95C2×D414yes—
385#95C2×D414yes—
386C24—21no—
387C24—21no—
388C24—22no—
389C24—22no—
390C24—21no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—24no—
400C24—22no—
401C24—22no—
402C24—24no—
403C24—22no—
404C24—22no—
405C24—24no—
406C24C22×D412yes—
407C242−1+414yes—
408C24C2511yescharacteristic
409C2×D4—48no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—44no—
413C2×D4—44no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—44no—
418C2×D4—44no—
419C2×D4—88no—
420C2×D4—88no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—84no—
511C22×C4—84no—
512C22×C4—88no—
513C22×C4—88no—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C2×#4114yes—
521C22×C4C2×#4114yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4H(5,𝔽2)14yes—
525C22×C4H(5,𝔽2)14yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C42−1+412yes—
529C22×C42−1+412yes—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—84no—
541C4⋊C4—84no—
542C4⋊C4—84no—
543C4⋊C4—88no—
544C4⋊C4—88no—
545C4⋊C4—88no—
546C4⋊C4—88no—
547C22⋊C4—216no—
548C22⋊C4—216no—
549C22⋊C4—28no—
550C22⋊C4—44no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—88no—
554C22⋊C4—84no—
555C22⋊C4—84no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C42—28no—
563C42—28no—
564C42—28no—
565C42—28no—
566C42—44no—
567C42—44no—
568C42—84no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23#53614yes—
615C23C23×D411yescharacteristic
616C23C22×#4111yescharacteristic
617C23C22×#4111yescharacteristic
618C23C2×H(5,𝔽2)11yescharacteristic
619C23C2×H(5,𝔽2)11yescharacteristic
620C23C2×H(5,𝔽2)12yes—
621C23C2×H(5,𝔽2)12yes—
622C23C2×2−1+412yes—
623C23C2×2−1+411yescharacteristic
624C23C2×2−1+411yescharacteristic
625C23#58512yes—
626D4—816no—
627D4—88no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—416no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—816no—
720C2×C4#53514yes—
721C2×C4#53914yes—
722C2×C4#54214yes—
723C2×C4#54714yes—
724C2×C4#54714yes—
725C2×C4#55314yes—
726C2×C4#56314yes—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—44no—
731C22—44no—
732C22—42no—
733C22—44no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—42no—
738C22—84no—
739C22—84no—
740C22—82no—
741C22—84no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—84no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22C2×#53511yescharacteristic
750C22C2×#53611yescharacteristic
751C22#344911yescharacteristic
752C22C2×#53911yescharacteristic
753C22C2×#54211yescharacteristic
754C22C2×#54711yescharacteristic
755C22C2×#54711yescharacteristic
756C22C2×#55311yescharacteristic
757C22#349212yes—
758C22#349212yes—
759C22#349412yes—
760C22#349811yescharacteristic
761C22#349811yescharacteristic
762C22#350612yes—
763C22C2×#56311yescharacteristic
764C22#354312yes—
765C22#354312yes—
766C22#354712yes—
767C22#355212yes—
768C22#355212yes—
769C22#355912yes—
770C22#356112yes—
771C22#356112yes—
772C4—44no—
773C4—42no—
774C4—44no—
775C4—44no—
776C4—42no—
777C4—44no—
778C4—42no—
779C4—42no—
780C4—42no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#271818yes—
789C2—44no—
790C2—162no—
791C2#3730211yescharacteristic
792C2#3753711yescharacteristic
793C2#3786211yescharacteristic
794C2#3786211yescharacteristic
795C2#3786911yescharacteristic
796C2#3948311yescharacteristic
797C2#4245312yes—
798C2#4251412yes—
799C2#4492212yes—
800C2C2×#271811yescharacteristic
801C2#5300112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2497C2semidirect
3. #17110C2semidirect
4. #16335C2semidirect
5. #16323C2semidirect
6. #15345C2semidirect
7. #15239C2semidirect
8. #15231C2semidirect
11. #15155C2semidirect
12. #15134C2semidirect
13. #14354C2semidirect
14. #14260C2semidirect
15. #14001C2semidirect
16. #13909C2semidirect
17. #13880C2semidirect
18. #13880C2semidirect
19. #13842C2semidirect

Maximal subgroups

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

subgroupindex
C2×#25042
C2×#24972
#171102
#163352
#163232
#153452
#152392
#152312
#152192
#151552
#151342
#143542
#142602
#140012
#139092
#138802
#138422