Finite Group Databasebeta

← #640980

Subgroups — #640980

Order 512.

3376 conjugacy classes of subgroups.

The subgroup lattice has 820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2854C211yesmaximal, characteristic
2C2×#2413C212yesmaximal, complemented
3C2×#2618C211yesmaximal, characteristic
4C22×#387C211yesmaximal, characteristic, complemented
5C2×#2285C211yesmaximal, characteristic, complemented
6#16519C212yesmaximal, complemented
7#16517C212yesmaximal, complemented
8#16515C214yesmaximal, complemented
9#14927C212yesmaximal, complemented
10#14921C212yesmaximal, complemented
11#14818C212yesmaximal, complemented
12#14813C212yesmaximal, complemented
13#14805C214yesmaximal, complemented
14#14339C211yesmaximal, characteristic, complemented
15#14275C211yesmaximal, characteristic, complemented
16#14271C211yesmaximal, characteristic
17#14135C212yesmaximal, complemented
18C22×#123C2212yes—
19C22×#123C2212yes—
20C22×#121C2211yescharacteristic
21C22×#117C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C42C2211yescharacteristic
25#2854—28no—
26#2618—28no—
27#2413—216no—
28C2×#398C2214yes—
29C2×#398C2212yes—
30C2×#396C2214yes—
31C2×#396C2214yes—
32C2×#394C2212yes—
33C2×#390C2211yescharacteristic
34C2×#390C2211yescharacteristic
35C2×#389C2211yescharacteristic
36C2×#389C2211yescharacteristic
37C2×#389C2214yes—
38C2×#388C2212yes—
39C2×#388C2212yes—
40C2×#388C2214yes—
41C2×#387—28no—
42C2×#387C2212yes—
43C2×#387C2212yes—
44C2×#387C2212yes—
45C2×#387C2212yes—
46C2×#386C2212yes—
47C2×#386C2212yes—
48C2×#386C2212yes—
49C2×#386C2212yes—
50C2×#385C2212yes—
51#2285—28no—
52C2×#384C2212yes—
53C2×#382C2212yes—
54C2×#381C2212yes—
55C2×#380C2211yescharacteristic
56C2×#380C2211yescharacteristic
57C2×#380C2212yes—
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2212yes—
60C2×C4×C4⋊C4C2212yes—
61C22×#95C2211yescharacteristic
62C22×#95C2211yescharacteristic
63C22×#95C2211yescharacteristic
64C22×#95C2211yescharacteristic
65#1445C2212yes—
66#1444C2212yes—
67#1443C2214yes—
68#1442C2214yes—
69#1442C2212yes—
70#1441C2214yes—
71#1441C2212yes—
72#1441C2212yes—
73#1441C2214yes—
74#1441C2214yes—
75#1441C2214yes—
76#1441C2214yes—
77#1440C2214yes—
78#1439C2214yes—
79#1439C2214yes—
80#1439C2214yes—
81#1439C2214yes—
82#1439C2214yes—
83#1438C2212yes—
84#1437C2214yes—
85#1436C2214yes—
86C22⋊#95C2212yes—
87C22⋊#95C2212yes—
88C23×D4C2312yes—
89C23×D4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C2×#123—28no—
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—28no—
101C2×#123—28no—
102C2×#123—44no—
103C2×#121—24no—
104C2×#121—24no—
105C2×#121—24no—
106C2×#117—28no—
107C2×#117—28no—
108C2×#117—44no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—24no—
114C22×C4⋊C4D418yescomplemented
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2314yes—
142C22×C42—24no—
143C22×C42—24no—
144C22×C42D418yes—
145C22×C42C2314yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#398—216no—
151#398—28no—
152#396—216no—
153#396—216no—
154#394—28no—
155#390—24no—
156#390—24no—
157#389—216no—
158#389—24no—
159#389—24no—
160#388—216no—
161#388—28no—
162#388—28no—
163#387—28no—
164#387—28no—
165#387—28no—
166#387—28no—
167#386—28no—
168#386—28no—
169#386—28no—
170#386—44no—
171#385—28no—
172#384—28no—
173#382—28no—
174#381—28no—
175#380—24no—
176#380—24no—
177#380—28no—
178#380D418yes—
179C4×C4⋊C4—28no—
180C4×C4⋊C4—28no—
181C2×#95—24no—
182C2×#95—24no—
183C2×#95—24no—
184C2×#95—24no—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C2×#95C2312yes—
203C2×#95C2314yes—
204C2×#95C2314yes—
205C2×#95C2314yes—
206C2×#95C2314yes—
207C2×#95C2314yes—
208C2×#95C2312yes—
209C25C2412yes—
210C25C2411yescharacteristic
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—42no—
222C22×D4—42no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4C2×D414yes—
254C23×C4C2×D414yes—
255C23×C4C2×D414yes—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4#4114yes—
261C23×C4#4114yes—
262C23×C4C2412yes—
263C23×C4C2414yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2414yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277#123—432no—
278#123—432no—
279#121—416no—
280#117—432no—
281C2×C4⋊C4—232no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—42no—
312C2×C4⋊C4—42no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—42no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—416no—
323C2×C4⋊C4C2×D418yes—
324C2×C4⋊C4C2×D418yes—
325C2×C4⋊C4C2×D418yes—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4C2×D418yes—
360C2×C42—232no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—28no—
370C2×C42—28no—
371C2×C42—44no—
372C2×C42C2×D414yes—
373C2×C42C2×D414yes—
374C2×C42C2×D414yes—
375C2×C42C2×D414yes—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—28no—
385#95—24no—
386#95—24no—
387#95—28no—
388#95—28no—
389#95—28no—
390#95—24no—
391#95—24no—
392#95—28no—
393#95—28no—
394#95—44no—
395#95—44no—
396#95—44no—
397#95—44no—
398#95—44no—
399#95C2×D418yes—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—24no—
411C24—22no—
412C24—24no—
413C24—24no—
414C24—24no—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C2×#4112yes—
419C24C2×#4112yes—
420C24H(5,𝔽2)12yes—
421C242−1+412yes—
422C24C2511yescharacteristic
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—44no—
433C2×D4—84no—
434C2×D4—84no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—28no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
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—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—84no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4—84no—
541C22×C4#121116yes—
542C22×C4#121116yes—
543C22×C4C22×D412yes—
544C22×C4C22×D414yes—
545C22×C4C22×D414yes—
546C22×C4C22×D418yes—
547C22×C4C22×D412yes—
548C22×C4C22×D412yes—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D412yes—
555C22×C4C22×D412yes—
556C22×C4C2×#4112yes—
557C22×C4C2×#4112yes—
558C22×C4C2×#4112yes—
559C22×C4C2×#4112yes—
560C22×C42−1+414yes—
561C4⋊C4—216no—
562C4⋊C4—216no—
563C4⋊C4—48no—
564C4⋊C4—416no—
565C4⋊C4—416no—
566C4⋊C4—416no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—48no—
570C4⋊C4—416no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—44no—
574C4⋊C4—48no—
575C4⋊C4—48no—
576C22⋊C4—216no—
577C22⋊C4—416no—
578C22⋊C4—48no—
579C22⋊C4—416no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—88no—
587C22⋊C4—88no—
588C42—28no—
589C42—28no—
590C42—28no—
591C42—28no—
592C42—416no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23C2×#12114yes—
633C23C2×#12114yes—
634C23#53714yes—
635C23D4214yes—
636C23#54714yes—
637C23#54814yes—
638C23#55314yes—
639C23C23×D411yescharacteristic
640C23C23×D411yescharacteristic
641C23C23×D411yescharacteristic
642C23C22×#4111yescharacteristic
643C23C22×#4111yescharacteristic
644C23C2×H(5,𝔽2)11yescharacteristic
645C23C2×2−1+412yes—
646C23C2×2−1+411yescharacteristic
647C23#58512yes—
648C23#58512yes—
649C23#58512yes—
650D4—88no—
651D4—816no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—232no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—28no—
687C2×C4—28no—
688C2×C4—416no—
689C2×C4—416no—
690C2×C4—416no—
691C2×C4—42no—
692C2×C4—416no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—88no—
740C2×C4—88no—
741C2×C4C2×#12114yes—
742C2×C4C2×#12114yes—
743C2×C4C2×#12114yes—
744C2×C4C2×#12114yes—
745C2×C4#53614yes—
746C22—28no—
747C22—24no—
748C22—28no—
749C22—24no—
750C22—28no—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—28no—
756C22—84no—
757C22—82no—
758C22—84no—
759C22—82no—
760C22—84no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—84no—
767C22#241618yes—
768C22C22×#12111yescharacteristic
769C22C22×#12111yescharacteristic
770C22C2×#53611yescharacteristic
771C22C2×#53711yescharacteristic
772C22#344911yescharacteristic
773C22#344911yescharacteristic
774C22#344912yes—
775C22#344911yescharacteristic
776C22#345512yes—
777C22C2×D4211yescharacteristic
778C22C2×#54711yescharacteristic
779C22C2×#54811yescharacteristic
780C22C2×#55311yescharacteristic
781C22#348512yes—
782C22#348912yes—
783C22#349112yes—
784C22#349512yes—
785C22#349712yes—
786C22#350712yes—
787C22#355912yes—
788C22#356012yes—
789C22#356312yes—
790C22#356412yes—
791C4—24no—
792C4—24no—
793C4—24no—
794C4—24no—
795C4—24no—
796C4—48no—
797C4—44no—
798C4—44no—
799C4—42no—
800C4—82no—
801C4—84no—
802C4—82no—
803C4—82no—
804C4—82no—
805C4—82no—
806C2—28no—
807C2—162no—
808C2#3463311yescharacteristic
809C2C2×#241611yescharacteristic
810C2#3508911yescharacteristic
811C2#3517811yescharacteristic
812C2#3530611yescharacteristic
813C2#3753811yescharacteristic
814C2#3754911yescharacteristic
815C2#3767912yes—
816C2#3770812yes—
817C2#3786712yes—
818C2#3789612yes—
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×#2413C2semidirect
4. C22×#387C2semidirect
5. C2×#2285C2semidirect
6. #16519C2semidirect
7. #16517C2semidirect
8. #16515C2semidirect
9. #14927C2semidirect
10. #14921C2semidirect
11. #14818C2semidirect
12. #14813C2semidirect
13. #14805C2semidirect
14. #14339C2semidirect
15. #14275C2semidirect
17. #14135C2semidirect
114. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#28542
C2×#24132
C2×#26182
C22×#3872
C2×#22852
#165192
#165172
#165152
#149272
#149212
#148182
#148132
#148052
#143392
#142752
#142712
#141352