Finite Group Databasebeta

← #874145

Subgroups — #874145

Order 512.

2540 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2494C211yesmaximal, characteristic, complemented
2C2×#2490C211yesmaximal, characteristic
3#16513C214yesmaximal, complemented
4#15726C214yesmaximal, complemented
5#15644C214yesmaximal, complemented
6#15233C211yesmaximal, characteristic, complemented
7#15228C211yesmaximal, characteristic, complemented
8#15224C211yesmaximal, characteristic, complemented
9#15222C211yesmaximal, characteristic, complemented
10#15219C211yesmaximal, characteristic
11#15134C211yesmaximal, characteristic, complemented
12#14698C211yesmaximal, characteristic
13#14686C211yesmaximal, characteristic, complemented
14#14397C214yesmaximal, complemented
15#14160C211yesmaximal, characteristic, complemented
16#14051C211yesmaximal, characteristic, complemented
17#14001C211yesmaximal, characteristic, complemented
18#13909C211yesmaximal, characteristic, complemented
19C4×#385C211yesmaximal, characteristic, complemented
20C22×#125C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C23×C42C2211yescharacteristic
23#2494—28no—
24#2490—28no—
25C2×#401C2212yes—
26C2×#397C2212yes—
27C2×#397C2212yes—
28C2×#396C2214yes—
29C2×#394C2212yes—
30C2×#390C2211yescharacteristic
31C2×#390C2211yescharacteristic
32C2×#390C2212yes—
33C2×#390C2211yescharacteristic
34C2×#390C2211yescharacteristic
35C2×#390C2211yescharacteristic
36C2×#390C2211yescharacteristic
37C2×#389C2211yescharacteristic
38C2×#389C2211yescharacteristic
39C2×#388C2212yes—
40C2×#388C2212yes—
41C2×#388C2214yes—
42C2×#387C2212yes—
43C2×#386C2214yes—
44C2×#385C2212yes—
45C2×#384C2211yescharacteristic
46C2×#384C2211yescharacteristic
47C2×#382C2211yescharacteristic
48C2×#382C2211yescharacteristic
49C2×#382C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×#380C2214yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4C2211yescharacteristic
59C2×C4×C22⋊C4C2211yescharacteristic
60#1444C2214yes—
61#1443C2214yes—
62#1442C2214yes—
63#1441C2214yes—
64#1441C2214yes—
65#1441C2214yes—
66#1440C2214yes—
67#1440C2214yes—
68#1440C2214yes—
69#1440C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2214yes—
74#1438C2214yes—
75#1437C2214yes—
76#1436C2212yes—
77#1436C2214yes—
78#1436C2214yes—
79#1436C2212yes—
80C4⋊#95C2214yes—
81C4⋊#95C2211yescharacteristic
82C4⋊#95C2211yescharacteristic
83C4⋊#95C2211yescharacteristic
84C4⋊#95C2211yescharacteristic
85C4⋊#95C2211yescharacteristic
86C4⋊#95C2211yescharacteristic
87C4⋊#95C2211yescharacteristic
88C4⋊#95C2211yescharacteristic
89#1434C2214yes—
90C22⋊#95C2212yes—
91C4×#95C2211yescharacteristic
92C4×#95C2211yescharacteristic
93C23×D4C2311yescharacteristic
94C23×D4C2312yes—
95C24×C4C2311yescharacteristic
96C24×C4C2312yes—
97C2×#125—24no—
98C2×#125—24no—
99C2×#125—42no—
100C2×#121—24no—
101C2×#121—24no—
102C2×#121—42no—
103C22×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2311yescharacteristic
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C42—24no—
134C22×C42—42no—
135C22×C42—42no—
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143C22×C42C2312yes—
144C22×C42C2312yes—
145#401—28no—
146#397—28no—
147#397—28no—
148#396—48no—
149#394—28no—
150#390—28no—
151#390—24no—
152#390—24no—
153#390—24no—
154#390—42no—
155#390—42no—
156#390—42no—
157#389—24no—
158#389—24no—
159#388—28no—
160#388—28no—
161#388—48no—
162#387—28no—
163#386—216no—
164#385—28no—
165#384—42no—
166#384—42no—
167#382—24no—
168#382—24no—
169#382—42no—
170#380—24no—
171#380—24no—
172#380—24no—
173#380—48no—
174C4×C4⋊C4—24no—
175C4×C4⋊C4—24no—
176C4×C4⋊C4—24no—
177C4×C4⋊C4—42no—
178C4×C22⋊C4—42no—
179C4×C22⋊C4D418yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2314yes—
204C2×#95C2312yes—
205C2×#95C2314yes—
206C2×#95C2311yescharacteristic
207C2×#95C2311yescharacteristic
208C25C2412yes—
209C25C2411yescharacteristic
210C22×D4—24no—
211C22×D4—28no—
212C22×D4—22no—
213C22×D4—24no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—42no—
221C22×D4—44no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4C2×D414yes—
235C23×C4#4118yes—
236C23×C4C2412yes—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253#125—416no—
254#121—416no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—22no—
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—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4#4114yes—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
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⋊C4C2×D414yes—
333C2×C22⋊C4C2×D414yes—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—22no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—22no—
342C2×C42—24no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—24no—
351C2×C42—24no—
352C2×C42—416no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—44no—
356C2×C42—44no—
357C2×C42C2×D414yes—
358C2×C42C2×D414yes—
359C2×C42#4114yes—
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—28no—
371#95—24no—
372#95—24no—
373#95—28no—
374#95—28no—
375#95—24no—
376#95—42no—
377#95—44no—
378#95—44no—
379#95—42no—
380#95—42no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95C2×D414yes—
387#95C2×D414yes—
388C24—21no—
389C24—21no—
390C24—22no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—22no—
400C24—22no—
401C24—24no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—24no—
407C24—24no—
408C24C22×D412yes—
409C24C2×#4114yes—
410C24C2511yescharacteristic
411C2×D4—48no—
412C2×D4—416no—
413C2×D4—48no—
414C2×D4—44no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—44no—
418C2×D4—44no—
419C2×D4—44no—
420C2×D4—44no—
421C2×D4—84no—
422C2×D4—88no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—24no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—216no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
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—22no—
506C22×C4—24no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C2×#4114yes—
524C22×C4C2×#4114yes—
525C22×C4C2×#4114yes—
526C22×C4C2×#4114yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4H(5,𝔽2)14yes—
530C22×C4H(5,𝔽2)12yes—
531C22×C4H(5,𝔽2)12yes—
532C22×C42−1+412yes—
533C22×C42−1+412yes—
534C4⋊C4—28no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—48no—
546C4⋊C4—88no—
547C4⋊C4—88no—
548C4⋊C4—84no—
549C22⋊C4—28no—
550C22⋊C4—44no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C22⋊C4—88no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C42—28no—
565C42—28no—
566C42—28no—
567C42—48no—
568C42—44no—
569C42—44no—
570C42—44no—
571C42—84no—
572C42—84no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—44no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23#53214yes—
619C23C23×D411yescharacteristic
620C23C22×#4112yes—
621C23C22×#4111yescharacteristic
622C23C22×#4111yescharacteristic
623C23C2×H(5,𝔽2)11yescharacteristic
624C23C2×H(5,𝔽2)11yescharacteristic
625C23C2×H(5,𝔽2)12yes—
626C23C2×2−1+411yescharacteristic
627C23C2×2−1+411yescharacteristic
628C23#58512yes—
629C23#58512yes—
630D4—816no—
631D4—88no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—432no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—416no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
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—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
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—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4#53714yes—
724C2×C4#53814yes—
725C2×C4#54214yes—
726C2×C4#54614yes—
727C2×C4#54714yes—
728C2×C4#55318yes—
729C2×C4#55614yes—
730C2×C4#56314yes—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—44no—
741C22—42no—
742C22—82no—
743C22—82no—
744C22—84no—
745C22—82no—
746C22—84no—
747C22—84no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—84no—
752C22—82no—
753C22C2×#53211yescharacteristic
754C22C2×#53711yescharacteristic
755C22#344911yescharacteristic
756C22C2×#53811yescharacteristic
757C22C2×#54211yescharacteristic
758C22C2×#54611yescharacteristic
759C22C2×#54711yescharacteristic
760C22C2×#55312yes—
761C22C2×#55611yescharacteristic
762C22#347512yes—
763C22#349312yes—
764C22#349811yescharacteristic
765C22#350011yescharacteristic
766C22#350512yes—
767C22#350512yes—
768C22#350712yes—
769C22#351112yes—
770C22#351712yes—
771C22C2×#56311yescharacteristic
772C22#354212yes—
773C22#354212yes—
774C22#355412yes—
775C22#356512yes—
776C4—28no—
777C4—42no—
778C4—44no—
779C4—44no—
780C4—42no—
781C4—42no—
782C4—42no—
783C4—42no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4#271518yes—
793C2—44no—
794C2—162no—
795C2#3510311yescharacteristic
796C2#3618211yescharacteristic
797C2#3638611yescharacteristic
798C2#3730111yescharacteristic
799C2#3787011yescharacteristic
800C2#3808911yescharacteristic
801C2#3953012yes—
802C2#3973312yes—
803C2#4551312yes—
804C2C2×#271511yescharacteristic
805C2#5924312yes—
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
1. C2×#2494C2semidirect
3. #16513C2semidirect
4. #15726C2semidirect
5. #15644C2semidirect
6. #15233C2semidirect
7. #15228C2semidirect
8. #15224C2semidirect
9. #15222C2semidirect
11. #15134C2semidirect
13. #14686C2semidirect
14. #14397C2semidirect
15. #14160C2semidirect
16. #14051C2semidirect
17. #14001C2semidirect
18. #13909C2semidirect
19. C4×#385C2semidirect

Maximal subgroups

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

subgroupindex
C2×#24942
C2×#24902
#165132
#157262
#156442
#152332
#152282
#152242
#152222
#152192
#151342
#146982
#146862
#143972
#141602
#140512
#140012
#139092
C4×#3852