Finite Group Databasebeta

← #6592121

Subgroups — #6592121

Order 512.

2203 conjugacy classes of subgroups.

The subgroup lattice has 729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36154C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#33148C211yesmaximal, characteristic, complemented
4#32982C212yesmaximal, complemented
5#27960C211yesmaximal, characteristic, complemented
6#27647C211yesmaximal, characteristic, complemented
7#27601C212yesmaximal, complemented
8#26300C212yesmaximal, complemented
9#26200C214yesmaximal, complemented
10#24969C212yesmaximal, complemented
11#24935C214yesmaximal, complemented
12#24551C212yesmaximal, complemented
13#22703C212yesmaximal, complemented
14#22487C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16C4×#483C211yesmaximal, characteristic, complemented
17C2×#1823C212yesmaximal, complemented
18C2×#554C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C2×#483C2211yescharacteristic
23C2×#483C2212yes—
24C2×C8×D4C2212yes—
25C22×C22⋊C8C2212yes—
26#2857C2211yescharacteristic
27#2848C2212yes—
28#2563C2211yescharacteristic
29#2538C2211yescharacteristic
30#2487C2212yes—
31#2454—21no—
32#2450—22no—
33#2442—21no—
34#2437—22no—
35#2417C2212yes—
36#2349—21no—
37D4×C4⋊C4—21no—
38D4×C4⋊C4—22no—
39D4×C4⋊C4—21no—
40D4×C4⋊C4C2211yescharacteristic
41D4×C4⋊C4C2214yes—
42D4×C4⋊C4C2212yes—
43D4×C4⋊C4C2212yes—
44D4×C22⋊C4—21no—
45C4×C22⋊Q8C2211yescharacteristic
46C2×#389—21no—
47C2×#385—22no—
48C2×#384C2211yescharacteristic
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52#2099C2214yescomplemented
53#2084C2212yescomplemented
54#2077C2214yescomplemented
55#2077C2214yescomplemented
56#2077C2214yescomplemented
57#2072C2212yescomplemented
58#2035C2214yescomplemented
59#1990C2212yescomplemented
60#1987C2212yescomplemented
61#1954C2212yes—
62#1948C2212yescomplemented
63#1948C2212yescomplemented
64#1927C2212yescomplemented
65#1920C2212yescomplemented
66#1920C2214yescomplemented
67#1892C2214yescomplemented
68#1872C2211yescharacteristic
69#1872C2214yescomplemented
70#1872C2214yescomplemented
71#1869C2214yes—
72#1853C2211yescharacteristic
73#1853C2212yes—
74#1853C2214yescomplemented
75#1853C2214yescomplemented
76#1853C2214yescomplemented
77#1834C2212yescomplemented
78#1824C2214yescomplemented
79#1823C2212yes—
80#1823C2212yes—
81#1823C2211yescharacteristic
82#1823C2212yes—
83#1823C2212yes—
84#1823C2214yescomplemented
85#1823C2214yescomplemented
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1797C2211yescharacteristic
89#1779C2212yes—
90C4×#106C2212yescomplemented
91C4×#103C2212yescomplemented
92C4×C22⋊C8C2211yescharacteristic
93C2×#340C2214yescomplemented
94C2×#340C2214yescomplemented
95C23×D4D411yescharacteristic
96C24×C4—22no—
97C24×C4C2312yes—
98C23×C8C2314yes—
99#554—28no—
100C2×C4⋊Q8C2311yescharacteristic
101C2×#125—21no—
102C2×C22⋊Q8—21no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8C2311yescharacteristic
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×C4×Q8C2311yescharacteristic
108C2×C4×D4—28no—
109C2×C4×D4—21no—
110C2×C4×D4—21no—
111C2×C4×D4—24no—
112C2×C4×D4—22no—
113C2×C4×D4—22no—
114C2×C4×D4—48no—
115C2×C4×D4D411yescharacteristic
116C2×C4×D4D412yes—
117C2×C4×D4D411yescharacteristic
118C2×C4×D4C2311yescharacteristic
119C2×C4×D4C2312yes—
120C2×C4×D4C2311yescharacteristic
121C22×C4⋊C4—28no—
122C22×C4⋊C4—22no—
123C22×C4⋊C4—22no—
124C22×C4⋊C4—22no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—44no—
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—22no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4D412yes—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#483—24no—
142#483—44no—
143C8×D4—28no—
144C2×#106C2312yes—
145C2×#106C2314yes—
146C2×#106C2314yes—
147C2×#106C2312yes—
148C2×C4⋊C8C2312yes—
149C2×#103C2312yes—
150C2×#103C2314yes—
151C2×#103C2312yes—
152C2×C22⋊C8—44no—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2311yescharacteristic
155C2×C22⋊C8C2311yescharacteristic
156C2×C22⋊C8C2314yes—
157C2×C22⋊C8C2314yes—
158C2×C22⋊C8C2314yes—
159C2×C4×C8C2312yes—
160#400—22no—
161#399—22no—
162#398—22no—
163#396—22no—
164#396—22no—
165#393—22no—
166#391—21no—
167#391C2311yescharacteristic
168#390—21no—
169#390—21no—
170#389—22no—
171#389—24no—
172#389—22no—
173#389—21no—
174#389—21no—
175#389—21no—
176#389C2311yescharacteristic
177#389C2312yes—
178#387—21no—
179#386—22no—
180#386—22no—
181#385—22no—
182#385—22no—
183#385—22no—
184#385—21no—
185#385—24no—
186#385—24no—
187#385—24no—
188#385—24no—
189#385—22no—
190#385—22no—
191#384—21no—
192#384—21no—
193#384C2312yes—
194#384C2312yes—
195#384C2311yescharacteristic
196#382—21no—
197#380—21no—
198#380—22no—
199#380—22no—
200#380—22no—
201#380—22no—
202#380—22no—
203#380C2312yes—
204#380C2312yes—
205#380C2312yes—
206#380C2314yes—
207#380C2314yes—
208#380C2312yes—
209#380C2312yes—
210#380C2311yescharacteristic
211#379—22no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4C2311yescharacteristic
216C4×C4⋊C4C2312yes—
217C4×C4⋊C4C2312yes—
218C4×C22⋊C4—21no—
219C2×#95—22no—
220C2×#95—21no—
221C2×#95—22no—
222#340C2314yes—
223#340C2312yes—
224#340C2314yes—
225#340C2314yes—
226#340C2312yes—
227#340C2314yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2312yes—
233#340C2314yes—
234#340C2314yes—
235#336C2312yes—
236#336C2312yes—
237C25C2×D412yes—
238C22×Q8—21no—
239C22×Q8C2411yescharacteristic
240C22×D4—24no—
241C22×D4—24no—
242C22×D4SD1618yes—
243C22×D4C2×D412yes—
244C22×D4C2×D411yescharacteristic
245C22×D4C2×D411yescharacteristic
246C23×C4—21no—
247C23×C4—24no—
248C23×C4—28no—
249C23×C4—24no—
250C23×C4—21no—
251C23×C4—22no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—22no—
255C23×C4—22no—
256C23×C4—44no—
257C23×C4—48no—
258C23×C4—48no—
259C23×C4—84no—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D412yes—
262C23×C4C2×D412yes—
263C23×C4C2×D412yes—
264C23×C4C2×D411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
268C22×C8—28no—
269C22×C8—44no—
270C22×C8—44no—
271C22×C8C2412yes—
272C22×C8C2414yes—
273C22×C8C2412yes—
274C4⋊Q8—24no—
275#125—44no—
276C22⋊Q8—28no—
277C22⋊Q8—22no—
278C22⋊Q8—22no—
279C22⋊Q8—48no—
280C22⋊Q8—44no—
281C22⋊Q8—82no—
282C4×Q8—24no—
283C4×D4—24no—
284C4×D4—28no—
285C4×D4—24no—
286C4×D4—28no—
287C4×D4—24no—
288C4×D4—44no—
289C4×D4—416no—
290C4×D4—48no—
291C4×D4—48no—
292C4×D4—44no—
293C4×D4#4118yes—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—48no—
326C2×C4⋊C4—48no—
327C2×C4⋊C4—48no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—82no—
330C2×C4⋊C4C2×D411yescharacteristic
331C2×C4⋊C4C2×D412yes—
332C2×C4⋊C4C2×D411yescharacteristic
333C2×C4⋊C4#4114yes—
334C2×C4⋊C4C2414yes—
335C2×C4⋊C4C2411yescharacteristic
336C2×C4⋊C4C2411yescharacteristic
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2411yescharacteristic
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—48no—
355C2×C22⋊C4—84no—
356C2×C22⋊C4C2×D412yes—
357C2×C22⋊C4C2×D412yes—
358C2×C22⋊C4C2×D412yes—
359C2×C22⋊C4C2×D412yes—
360C2×C42—24no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—21no—
364C2×C42—21no—
365C2×C42—44no—
366C2×C42C2×D411yescharacteristic
367C2×C42C2×D411yescharacteristic
368C2×C42C2411yescharacteristic
369C2×C42C2411yescharacteristic
370#106—24no—
371#106—42no—
372#106—44no—
373#106—44no—
374C4⋊C8—24no—
375#103—24no—
376#103—42no—
377#103—44no—
378C22⋊C8—28no—
379C22⋊C8—22no—
380C22⋊C8—22no—
381C22⋊C8—24no—
382C22⋊C8—44no—
383C22⋊C8—44no—
384C4×C8—24no—
385#95—21no—
386#95—22no—
387#95—22no—
388#95—22no—
389#95—24no—
390#95—24no—
391#95—22no—
392#95—22no—
393#95—21no—
394#95—21no—
395#95—21no—
396#95—21no—
397#95—22no—
398#95—22no—
399#95—22no—
400C24—24no—
401C24—24no—
402C24—24no—
403C24—24no—
404C24—42no—
405C24—42no—
406C24C2×SD1618yes—
407C24C22×D412yes—
408C24C22×D412yes—
409C24C22×D411yescharacteristic
410C2×Q8—21no—
411C2×Q8—22no—
412C2×Q8—21no—
413C2×Q8—22no—
414C2×Q8—42no—
415C2×Q8—81no—
416C2×Q8—81no—
417C2×D4—24no—
418C2×D4—24no—
419C2×D4—232no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4#12314yes—
423C2×D4C2×SD1618yes—
424C2×D4C2×SD1614yes—
425C2×D4C2×SD1614yes—
426C2×D4#13714yes—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—41no—
460C22×C4—416no—
461C22×C4—416no—
462C22×C4—48no—
463C22×C4—48no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—44no—
469C22×C4—42no—
470C22×C4—44no—
471C22×C4—48no—
472C22×C4—48no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—84no—
477C22×C4—84no—
478C22×C4—82no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4—82no—
482C22×C4—832no—
483C22×C4C2×SD1614yes—
484C22×C4C22×D412yes—
485C22×C4C22×D411yescharacteristic
486C22×C4C22×D411yescharacteristic
487C22×C4C22×D412yes—
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D411yescharacteristic
490C22×C4C22×D411yescharacteristic
491C22×C4C2×#4118yes—
492C22×C4C2×#4112yes—
493C22×C4H(5,𝔽2)12yes—
494C22×C4C2511yescharacteristic
495C2×C8—22no—
496C2×C8—22no—
497C2×C8—22no—
498C2×C8—24no—
499C2×C8—22no—
500C2×C8—24no—
501C2×C8—22no—
502C2×C8—24no—
503C2×C8—22no—
504C2×C8—88no—
505C4⋊C4—24no—
506C4⋊C4—22no—
507C4⋊C4—24no—
508C4⋊C4—22no—
509C4⋊C4—21no—
510C4⋊C4—24no—
511C4⋊C4—22no—
512C4⋊C4—24no—
513C4⋊C4—24no—
514C4⋊C4—21no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—24no—
519C4⋊C4—48no—
520C4⋊C4—48no—
521C4⋊C4—42no—
522C4⋊C4—44no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—44no—
526C4⋊C4—44no—
527C4⋊C4—42no—
528C4⋊C4—44no—
529C4⋊C4—44no—
530C4⋊C4—42no—
531C4⋊C4—81no—
532C4⋊C4—82no—
533C4⋊C4—82no—
534C4⋊C4—82no—
535C4⋊C4—82no—
536C4⋊C4—81no—
537C4⋊C4—82no—
538C4⋊C4#12314yes—
539C4⋊C4C2×#4114yes—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—44no—
544C22⋊C4—42no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—44no—
548C22⋊C4—42no—
549C22⋊C4—44no—
550C22⋊C4—82no—
551C22⋊C4—82no—
552C22⋊C4—82no—
553C22⋊C4—82no—
554C22⋊C4#12318yes—
555C42—22no—
556C42—22no—
557C42—22no—
558C42—42no—
559C42—44no—
560C42—44no—
561C42—42no—
562C42C2×#4114yes—
563C23—21no—
564C23—22no—
565C23—21no—
566C23—22no—
567C23—21no—
568C23—22no—
569C23—21no—
570C23—22no—
571C23—22no—
572C23—216no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—216no—
577C23—22no—
578C23—22no—
579C23—48no—
580C23—48no—
581C23—48no—
582C23—48no—
583C23—48no—
584C23C2×#12314yes—
585C23#54612yes—
586C23C22×SD1614yes—
587C23C22×SD1614yes—
588C23C22×SD1612yes—
589C23C2×#13714yes—
590C23#57612yes—
591C23C23×D411yescharacteristic
592Q8—42no—
593Q8—42no—
594Q8—162no—
595D4—216no—
596D4—28no—
597D4#483116yescomplemented
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—28no—
609C2×C4—28no—
610C2×C4—24no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—48no—
619C2×C4—44no—
620C2×C4—48no—
621C2×C4—48no—
622C2×C4—48no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—44no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—44no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—816no—
652C2×C4—816no—
653C2×C4—84no—
654C2×C4—88no—
655C2×C4—164no—
656C2×C4—164no—
657C2×C4C2×#12312yes—
658C2×C4C2×#12314yes—
659C2×C4C2×#12312yes—
660C2×C4#54612yes—
661C2×C4C22×SD1612yes—
662C2×C4C22×SD1612yes—
663C2×C4C2×#13712yes—
664C2×C4C22×#4111yescharacteristic
665C2×C4C22×#4112yes—
666C2×C4C2×H(5,𝔽2)11yescharacteristic
667C2×C4#58512yes—
668C8—42no—
669C8—44no—
670C8—42no—
671C22—24no—
672C22—22no—
673C22—22no—
674C22—24no—
675C22—22no—
676C22—22no—
677C22—24no—
678C22—24no—
679C22—22no—
680C22—24no—
681C22—22no—
682C22—24no—
683C22—24no—
684C22—24no—
685C22—24no—
686C22—432no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22C2×#48318yes—
692C22#329514yes—
693C22C22×#12311yescharacteristic
694C22C2×#54611yescharacteristic
695C22#348511yescharacteristic
696C22C23×SD1611yescharacteristic
697C22C22×#13711yescharacteristic
698C22C2×#57611yescharacteristic
699C22#358611yescharacteristic
700C4—22no—
701C4—24no—
702C4—22no—
703C4—22no—
704C4—42no—
705C4—41no—
706C4—44no—
707C4—82no—
708C4—81no—
709C4—81no—
710C4—81no—
711C4—82no—
712C4—84no—
713C4—81no—
714C4—82no—
715C4C2×#48314yes—
716C4#347512yes—
717C4#351312yes—
718C2—24no—
719C2—28no—
720C2—44no—
721C2#3615511yescharacteristic
722C2C22×#48311yescharacteristic
723C2#6052111yescharacteristic
724C2C2×#329511yescharacteristic
725C2#6115711yescharacteristic
726C2#6169511yescharacteristic
727C2#6172611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33148C2semidirect
4. #32982C2semidirect
5. #27960C2semidirect
6. #27647C2semidirect
7. #27601C2semidirect
8. #26300C2semidirect
9. #26200C2semidirect
10. #24969C2semidirect
11. #24935C2semidirect
12. #24551C2semidirect
13. #22703C2semidirect
14. #22487C2semidirect
16. C4×#483C2semidirect
17. C2×#1823C2semidirect
52. #2099C22semidirect
53. #2084C22semidirect
54. #2077C22semidirect
55. #2077C22semidirect
56. #2077C22semidirect
57. #2072C22semidirect
58. #2035C22semidirect
59. #1990C22semidirect
60. #1987C22semidirect
62. #1948C22semidirect
63. #1948C22semidirect
64. #1927C22semidirect
65. #1920C22semidirect
66. #1920C22semidirect
67. #1892C22semidirect
69. #1872C22semidirect
70. #1872C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1834C22semidirect
78. #1824C22semidirect
84. #1823C22semidirect
85. #1823C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
90. C4×#106C22semidirect
91. C4×#103C22semidirect
93. C2×#340C22semidirect
94. C2×#340C22semidirect
597. D4#483semidirect

Maximal subgroups

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

subgroupindex
#361542
C2×D4×C4⋊C42
#331482
#329822
#279602
#276472
#276012
#263002
#262002
#249692
#249352
#245512
#227032
#224872
D4×C22⋊C82
C4×#4832
C2×#18232