Finite Group Databasebeta

← #4456860

Subgroups — #4456860

Order 512.

3010 conjugacy classes of subgroups.

The subgroup lattice has 831 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2504C211yesmaximal, characteristic, complemented
2C2×#2486C211yesmaximal, characteristic, complemented
3C2×#2414C211yesmaximal, characteristic
4C2×#2316C211yesmaximal, characteristic, complemented
5#17069C212yesmaximal, complemented
6#17040C212yesmaximal, complemented
7#16888C212yesmaximal, complemented
8#16821C212yesmaximal, complemented
9#16397C214yesmaximal, complemented
10#16256C214yesmaximal, complemented
11#15225C212yesmaximal, complemented
12#15220C212yesmaximal, complemented
13#15141C212yesmaximal, complemented
14#15126C212yesmaximal, complemented
15#14257C211yesmaximal, characteristic, complemented
16#13951C211yesmaximal, characteristic, complemented
17#13839C211yesmaximal, characteristic, complemented
18C22×#123C2212yes—
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25#2504—28no—
26#2486—28no—
27#2414—28no—
28C2×#398C2212yes—
29C2×#397C2212yes—
30C2×#397C2212yes—
31C2×#397C2212yes—
32C2×#396C2214yes—
33C2×#394C2212yes—
34C2×#394C2214yes—
35C2×#392C2212yes—
36#2316—28no—
37C2×#390C2212yes—
38C2×#390C2211yescharacteristic
39C2×#390C2212yes—
40C2×#390C2212yes—
41C2×#389C2212yes—
42C2×#389C2212yes—
43C2×#389C2212yes—
44C2×#389C2212yes—
45C2×#389C2212yes—
46C2×#389C2211yescharacteristic
47C2×#389C2212yes—
48C2×#388C2212yes—
49C2×#386C2214yes—
50C2×#382C2212yes—
51C2×#381C2212yes—
52C2×#380C2214yes—
53C2×#380C2212yes—
54C2×#380C2211yescharacteristic
55C2×#380C2211yescharacteristic
56C2×C4×C22⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58#1445C2214yes—
59#1443C2214yes—
60#1442C2214yes—
61#1441C2214yes—
62#1441C2214yes—
63#1441C2211yescharacteristic
64#1441C2211yescharacteristic
65#1441C2214yes—
66#1440C2212yes—
67#1440C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2211yescharacteristic
73#1439C2211yescharacteristic
74#1439C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1439C2212yes—
78#1439C2212yes—
79#1438C2214yes—
80#1438C2212yes—
81#1438C2214yes—
82C4⋊#95C2212yes—
83C4⋊#95C2212yes—
84C4⋊#95C2212yes—
85#1434C2212yes—
86C4×#95C2212yes—
87C23×D4C2311yescharacteristic
88C23×D4C2311yescharacteristic
89C23×D4C2312yes—
90C23×D4C2312yes—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C2×#123—28no—
95C2×#123—44no—
96C2×#123—44no—
97C2×#121—24no—
98C2×#121—24no—
99C2×#121—24no—
100C2×#121—24no—
101C2×#121—44no—
102C2×C4×D4—24no—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×#117—24no—
106C2×#117—44no—
107C2×#117—44no—
108C2×#117D418yes—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4D418yescomplemented
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2314yes—
141C22×C22⋊C4C2314yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C42C2312yes—
145C22×C42C2311yescharacteristic
146C22×C42C2312yes—
147C22×C42C2312yes—
148#398—28no—
149#397—28no—
150#397—28no—
151#397—28no—
152#396—48no—
153#394—28no—
154#394—48no—
155#392—28no—
156#390—24no—
157#390—28no—
158#390—28no—
159#390—44no—
160#389—28no—
161#389—28no—
162#389—24no—
163#389—28no—
164#389—28no—
165#389—28no—
166#389—44no—
167#388—28no—
168#386—216no—
169#382—28no—
170#381—28no—
171#380—24no—
172#380—24no—
173#380—28no—
174#380—216no—
175C4×C22⋊C4—24no—
176C4×C22⋊C4—44no—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2311yescharacteristic
181C2×#95C2311yescharacteristic
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C25C2412yes—
200C25C2411yescharacteristic
201C25C2411yescharacteristic
202C22×D4—22no—
203C22×D4—22no—
204C22×D4—22no—
205C22×D4—24no—
206C22×D4—22no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4—24no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—41no—
218C22×D4—41no—
219C22×D4—44no—
220C22×D4—42no—
221C22×D4—44no—
222C22×D4—44no—
223C22×D4—44no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4C2×D414yes—
238C23×C4C2×D414yes—
239C23×C4C2×D418yes—
240C23×C4#4114yes—
241C23×C4C2414yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255#123—432no—
256#121—416no—
257#121—416no—
258C4×D4—416no—
259#117—416no—
260#117—416no—
261C2×C4⋊C4—232no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
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—28no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
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⋊C4C2×D418yes—
296C2×C4⋊C4C2×D418yes—
297C2×C4⋊C4C2×D414yes—
298C2×C4⋊C4C2×D414yes—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—22no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—22no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
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×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4C2×D418yes—
349C2×C42—24no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—24no—
353C2×C42—22no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—44no—
359C2×C42C2×D418yes—
360#95—22no—
361#95—22no—
362#95—28no—
363#95—24no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—28no—
368#95—28no—
369#95—28no—
370#95—24no—
371#95—24no—
372#95—42no—
373#95—44no—
374#95—42no—
375#95—44no—
376#95—44no—
377#95—42no—
378#95—42no—
379#95—42no—
380#95—44no—
381#95—44no—
382C24—22no—
383C24—21no—
384C24—21no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—21no—
389C24—21no—
390C24—21no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—21no—
398C24—22no—
399C24—21no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—24no—
406C24—24no—
407C24—22no—
408C24—22no—
409C24—24no—
410C24—24no—
411C24C22×D412yes—
412C24C22×D412yes—
413C24C2×#4112yes—
414C24H(5,𝔽2)12yes—
415C24C2511yescharacteristic
416C2×D4—28no—
417C2×D4—44no—
418C2×D4—44no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—44no—
422C2×D4—44no—
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—416no—
426C2×D4—48no—
427C2×D4—44no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—84no—
433C2×D4—88no—
434C2×D4—84no—
435C2×D4—84no—
436C2×D4—88no—
437C2×D4—88no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—216no—
443C22×C4—216no—
444C22×C4—21no—
445C22×C4—24no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—216no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—84no—
523C22×C4—84no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4#121116yes—
527C22×C4C22×D418yes—
528C22×C4C22×D414yes—
529C22×C4C22×D414yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4112yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4H(5,𝔽2)14yes—
538C22×C42−1+414yes—
539C4⋊C4—216no—
540C4⋊C4—216no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—416no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—48no—
549C4⋊C4—88no—
550C4⋊C4—88no—
551C4⋊C4—84no—
552C4⋊C4—88no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—48no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—84no—
568C22⋊C4—84no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C42—48no—
572C42—44no—
573C42—48no—
574C42—48no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—42no—
626C23—42no—
627C23—44no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23C2×#12114yes—
644C23C23×D411yescharacteristic
645C23C23×D411yescharacteristic
646C23C22×#4111yescharacteristic
647C23C2×H(5,𝔽2)12yes—
648C23C2×H(5,𝔽2)11yescharacteristic
649C23C2×H(5,𝔽2)11yescharacteristic
650C23C2×2−1+412yes—
651C23#58511yescharacteristic
652C23#58511yescharacteristic
653C23#58512yes—
654C23#58512yes—
655D4—416no—
656D4—816no—
657D4—816no—
658D4—88no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—232no—
664C2×C4—28no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—22no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
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—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—41no—
711C2×C4—42no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—44no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—816no—
739C2×C4—88no—
740C2×C4C2×#12114yes—
741C2×C4C2×#12114yes—
742C2×C4#53414yes—
743C2×C4#53614yes—
744C2×C4#53718yes—
745C2×C4#53918yes—
746C22—24no—
747C22—24no—
748C22—24no—
749C22—44no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—44no—
761C22—44no—
762C22—81no—
763C22—82no—
764C22—81no—
765C22—81no—
766C22—82no—
767C22—81no—
768C22—82no—
769C22—84no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—84no—
776C22—84no—
777C22—84no—
778C22—82no—
779C22C22×#12111yescharacteristic
780C22C2×#53411yescharacteristic
781C22C2×#53611yescharacteristic
782C22C2×#53712yes—
783C22C2×#53912yes—
784C22#348411yescharacteristic
785C22#348511yescharacteristic
786C22#348712yes—
787C22#348811yescharacteristic
788C22#348811yescharacteristic
789C22#349411yescharacteristic
790C22#349411yescharacteristic
791C22#350011yescharacteristic
792C22#350011yescharacteristic
793C22#351012yes—
794C22#353912yes—
795C22#354212yes—
796C22#354612yes—
797C22#354712yes—
798C22#355112yes—
799C22#355912yes—
800C22#356512yes—
801C22#356512yes—
802C4—24no—
803C4—48no—
804C4—42no—
805C4—44no—
806C4—44no—
807C4—81no—
808C4—82no—
809C4—82no—
810C4—82no—
811C4—82no—
812C4—82no—
813C4—84no—
814C4—81no—
815C4#261818yes—
816C2—44no—
817C2—82no—
818C2—162no—
819C2C2×#261811yescharacteristic
820C2#3551411yescharacteristic
821C2#3567711yescharacteristic
822C2#3736612yes—
823C2#3737012yes—
824C2#4247612yes—
825C2#4267412yes—
826C2#4294211yescharacteristic
827C2#4294411yescharacteristic
828C2#4296511yescharacteristic
829C2#4298511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2414C2
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×#2504C2semidirect
2. C2×#2486C2semidirect
4. C2×#2316C2semidirect
5. #17069C2semidirect
6. #17040C2semidirect
7. #16888C2semidirect
8. #16821C2semidirect
9. #16397C2semidirect
10. #16256C2semidirect
11. #15225C2semidirect
12. #15220C2semidirect
13. #15141C2semidirect
14. #15126C2semidirect
15. #14257C2semidirect
16. #13951C2semidirect
17. #13839C2semidirect
111. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25042
C2×#24862
C2×#24142
C2×#23162
#170692
#170402
#168882
#168212
#163972
#162562
#152252
#152202
#151412
#151262
#142572
#139512
#138392