Finite Group Databasebeta

← #725964

Subgroups — #725964

Order 512.

2948 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic, complemented
2C2×#2392C211yesmaximal, characteristic
3C2×#2356C211yesmaximal, characteristic, complemented
4C2×#2323C211yesmaximal, characteristic, complemented
5#16677C212yesmaximal, complemented
6#16662C212yesmaximal
7#15607C214yesmaximal, complemented
8#15531C214yesmaximal, complemented
9#15236C212yesmaximal, complemented
10#15177C212yesmaximal, complemented
11#14898C212yesmaximal, complemented
12#14894C212yesmaximal, complemented
13#14340C211yesmaximal, characteristic, complemented
14#13993C212yesmaximal, complemented
15#13911C211yesmaximal, characteristic, complemented
16#13905C211yesmaximal, characteristic, complemented
17#13905C212yesmaximal, complemented
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2212yes—
23C22×#117C2211yescharacteristic
24#2538—28no—
25#2392—28no—
26C2×#398C2211yescharacteristic
27C2×#397C2211yescharacteristic
28C2×#396C2214yes—
29C2×#396C2212yes—
30C2×#394C2211yescharacteristic
31C2×#394C2212yes—
32C2×#392C2211yescharacteristic
33#2356—28no—
34#2323—28no—
35C2×#391C2211yescharacteristic
36C2×#391C2212yes—
37C2×#390C2212yes—
38C2×#389C2211yescharacteristic
39C2×#389C2212yes—
40C2×#389C2212yes—
41C2×#388C2212yes—
42C2×#388C2212yes—
43C2×#387C2212yes—
44C2×#387C2214yes—
45C2×#384C2211yescharacteristic
46C2×#383C2212yes—
47C2×#382C2211yescharacteristic
48C2×#382C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×#380C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C4⋊C4C2212yes—
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58C2×#376C2212yes—
59#1445C2212yes—
60#1445C2214yes—
61#1444C2214yes—
62#1443C2214yes—
63#1442C2212yes—
64#1442C2214yes—
65#1442C2212yes—
66#1442C2214yes—
67#1441C2212yes—
68#1441C2212yes—
69#1440C2214yes—
70#1440C2214yes—
71#1439C2212yes—
72#1439C2212yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1438C2212yes—
77#1438C2214yes—
78#1438C2214yes—
79#1437C2214yes—
80#1437C2214yes—
81#1437C2214yes—
82#1437C2214yes—
83#1436C2214yes—
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86C4⋊#95C2214yes—
87C23×Q8C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C24×C4C2312yes—
91C24×C4C2311yescharacteristic
92C2×C22⋊Q8—24no—
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—28no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—44no—
97C2×C22⋊Q8—44no—
98C2×C4×Q8—24no—
99C2×C4×Q8—24no—
100C2×C4×Q8D418yescomplemented
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4—44no—
107C2×#117—24no—
108C2×#117—24no—
109C2×#117—24no—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C42C2311yescharacteristic
141C22×C42C2312yes—
142C22×C42C2312yes—
143C22×C42C2312yes—
144C22×C42C2314yes—
145C22×C42C2311yescharacteristic
146#398—24no—
147#397—24no—
148#396—28no—
149#396—216no—
150#394—28no—
151#394—24no—
152#392—24no—
153#391—24no—
154#391—28no—
155#390—28no—
156#389—28no—
157#389—24no—
158#389—28no—
159#388—28no—
160#388—28no—
161#387—216no—
162#387—28no—
163#384—24no—
164#383—28no—
165#382—24no—
166#382—44no—
167#380—24no—
168#380—28no—
169#380—28no—
170#380—44no—
171#380—44no—
172C4×C4⋊C4—24no—
173C4×C4⋊C4—28no—
174C4×C4⋊C4D418yes—
175C4×C22⋊C4—28no—
176#376—28no—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2311yescharacteristic
200C2×#95C2311yescharacteristic
201C25C2411yescharacteristic
202C25C2412yes—
203C22×Q8—22no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—22no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8C2×D414yes—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—22no—
214C22×D4—24no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4—42no—
220C22×D4—42no—
221C22×D4—42no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4#4114yes—
236C23×C4C2414yes—
237C23×C4C2411yescharacteristic
238C23×C4C2414yes—
239C23×C4C2411yescharacteristic
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C22⋊Q8—232no—
252C22⋊Q8—432no—
253C4×Q8—232no—
254C4×D4—432no—
255C4×D4—416no—
256#117—416no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
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—24no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4C2×D414yes—
299C2×C4⋊C4C2×D418yes—
300C2×C4⋊C4C2×D418yes—
301C2×C4⋊C4#4114yes—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—22no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—28no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—44no—
353C2×C42—44no—
354C2×C42—44no—
355C2×C42C2×D418yes—
356C2×C42C2×D418yes—
357C2×C42C2×D414yes—
358C2×C42C2×D414yes—
359C2×C42#4114yes—
360#95—24no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—28no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—28no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—28no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95C2×D414yes—
383#95C2×D414yes—
384C24—21no—
385C24—22no—
386C24—21no—
387C24—22no—
388C24—21no—
389C24—21no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—21no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24C2×#4112yes—
409C242−1+414yes—
410C24C2511yescharacteristic
411C2×Q8—28no—
412C2×Q8—28no—
413C2×Q8—28no—
414C2×Q8—44no—
415C2×Q8—44no—
416C2×Q8—44no—
417C2×Q8—44no—
418C2×D4—28no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—44no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—44no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—24no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4C22×D414yes—
517C22×C4C22×D414yes—
518C22×C4C22×D414yes—
519C22×C4C22×D414yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C2×#4114yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C4⋊C4—216no—
536C4⋊C4—28no—
537C4⋊C4—216no—
538C4⋊C4—28no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—416no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—84no—
550C4⋊C4—84no—
551C22⋊C4—216no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—416no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—48no—
560C22⋊C4—88no—
561C22⋊C4—84no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C42—216no—
566C42—216no—
567C42—416no—
568C42—44no—
569C42—84no—
570C42#121116yes—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—42no—
599C23—41no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23C23×D411yescharacteristic
630C23C23×D411yescharacteristic
631C23C22×#4111yescharacteristic
632C23C22×#4111yescharacteristic
633C23C22×#4111yescharacteristic
634C23C2×H(5,𝔽2)11yescharacteristic
635C23C2×H(5,𝔽2)11yescharacteristic
636C23C2×2−1+412yes—
637C23#58512yes—
638C23#58512yes—
639C23#58512yes—
640Q8—416no—
641D4—416no—
642D4—432no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—416no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—41no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—816no—
727C2×C4C2×#12114yes—
728C2×C4C2×#12114yes—
729C2×C4C2×#12114yes—
730C2×C4#52514yes—
731C2×C4#53514yes—
732C2×C4#54614yes—
733C2×C4#55014yes—
734C2×C4#55314yes—
735C2×C4#55514yes—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—42no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—81no—
749C22—82no—
750C22—81no—
751C22—81no—
752C22—82no—
753C22—82no—
754C22—81no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22C22×#12111yescharacteristic
763C22C2×#52511yescharacteristic
764C22C2×#53511yescharacteristic
765C22#344912yes—
766C22C2×#54611yescharacteristic
767C22C2×#55011yescharacteristic
768C22C2×#55311yescharacteristic
769C22C2×#55511yescharacteristic
770C22#348611yescharacteristic
771C22#348711yescharacteristic
772C22#348912yes—
773C22#349312yes—
774C22#349512yes—
775C22#349512yes—
776C22#350011yescharacteristic
777C22#350011yescharacteristic
778C22#351212yes—
779C22#351612yes—
780C22#352112yes—
781C22#353912yes—
782C22#354112yes—
783C22#356112yes—
784C22#356212yes—
785C4—24no—
786C4—24no—
787C4—44no—
788C4—42no—
789C4—44no—
790C4—44no—
791C4—44no—
792C4—44no—
793C4—81no—
794C4—82no—
795C4—81no—
796C4—84no—
797C4—82no—
798C4—84no—
799C4#241418yes—
800C2—84no—
801C2—82no—
802C2C2×#241411yescharacteristic
803C2#3532811yescharacteristic
804C2#3566111yescharacteristic
805C2#3573811yescharacteristic
806C2#3601911yescharacteristic
807C2#3784712yes—
808C2#3913112yes—
809C2#4278811yescharacteristic
810C2#4288011yescharacteristic
811C2#4515812yes—
812C2#4522812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
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×#2538C2semidirect
3. C2×#2356C2semidirect
4. C2×#2323C2semidirect
5. #16677C2semidirect
7. #15607C2semidirect
8. #15531C2semidirect
9. #15236C2semidirect
10. #15177C2semidirect
11. #14898C2semidirect
12. #14894C2semidirect
13. #14340C2semidirect
14. #13993C2semidirect
15. #13911C2semidirect
16. #13905C2semidirect
17. #13905C2semidirect
100. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#23922
C2×#23562
C2×#23232
#166772
#166622
#156072
#155312
#152362
#151772
#148982
#148942
#143402
#139932
#139112
#139052