Finite Group Databasebeta

← #6605462

Subgroups — #6605462

Order 512.

2111 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C22⋊Q8C211yesmaximal, characteristic
2C2×#2354C211yesmaximal, characteristic
3#33108C211yesmaximal, characteristic, complemented
4#32985C212yesmaximal, complemented
5#27972C211yesmaximal, characteristic, complemented
6#27681C211yesmaximal, characteristic, complemented
7#26233C212yesmaximal, complemented
8#26223C214yesmaximal, complemented
9#24972C212yesmaximal, complemented
10#24888C214yesmaximal, complemented
11#24559C212yesmaximal, complemented
12#24003C212yesmaximal, complemented
13#22715C212yesmaximal, complemented
14#22430C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic
16C4×#483C211yesmaximal, characteristic, complemented
17#20911C212yesmaximal, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22C2×#485C2214yescomplemented
23C2×#483C2211yescharacteristic
24C2×#483C2212yes—
25C2×#436C2212yes—
26C2×#419C2214yescomplemented
27C2×#407C2212yes—
28#2857C2211yescharacteristic
29#2848C2212yes—
30#2542C2211yescharacteristic
31#2538C2211yescharacteristic
32#2452—21no—
33#2449—22no—
34#2440—21no—
35#2437—22no—
36#2417C2212yes—
37#2409C2212yes—
38#2354—21no—
39#2354—22no—
40#2354—21no—
41#2354C2214yes—
42#2354C2212yes—
43#2354C2212yes—
44D4×C4⋊C4—21no—
45D4×C4⋊C4C2211yescharacteristic
46D4×C22⋊C4—21no—
47C4×C22⋊Q8C2211yescharacteristic
48C2×#390—21no—
49C2×#388—22no—
50C2×#384C2211yescharacteristic
51C2×#380C2212yes—
52C2×C4×C4⋊C4—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2100C2212yescomplemented
55#2095C2212yescomplemented
56#2077C2214yescomplemented
57#2072C2214yescomplemented
58#2036C2214yescomplemented
59#2035C2214yescomplemented
60#2035C2214yescomplemented
61#1981C2212yescomplemented
62#1956C2212yescomplemented
63#1954C2212yes—
64#1948C2212yescomplemented
65#1947C2212yescomplemented
66#1927C2212yescomplemented
67#1927C2214yescomplemented
68#1920C2212yescomplemented
69#1894C2214yescomplemented
70#1873C2214yescomplemented
71#1873C2214yescomplemented
72#1873C2214yescomplemented
73#1872C2212yes—
74#1872C2212yes—
75#1872C2212yes—
76#1872C2211yescharacteristic
77#1872C2212yes—
78#1870C2214yes—
79#1854C2214yescomplemented
80#1853C2211yescharacteristic
81#1853C2214yescomplemented
82#1852C2212yes—
83#1834C2212yescomplemented
84#1825C2214yescomplemented
85#1823C2211yescharacteristic
86#1809C2214yescomplemented
87#1803C2212yescomplemented
88#1797C2211yescharacteristic
89#1787C2214yescomplemented
90#1779C2212yes—
91C4×#106C2212yescomplemented
92C4×#103C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94#1736C2214yescomplemented
95C23×Q8C2312yes—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×M16C2314yes—
99D4×Q8—28no—
100C2×C4⋊Q8—21no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×C22⋊Q8—22no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—28no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2311yescharacteristic
112C2×C22⋊Q8C2312yes—
113C2×C4×Q8C2311yescharacteristic
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4D411yescharacteristic
118C2×C4×D4D412yes—
119C2×C4×D4D411yescharacteristic
120C2×C4×D4C2312yes—
121C2×C4×D4C2311yescharacteristic
122C2×C4×D4C2311yescharacteristic
123C2×#117—22no—
124C2×#117—22no—
125C2×#117—48no—
126C2×#117C2314yes—
127C2×#117C2314yes—
128C22×C4⋊C4—22no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C22⋊C4—22no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4D412yes—
140C22×C42—22no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143#485—48no—
144#483—24no—
145#483—44no—
146#436—28no—
147C2×#107C2314yes—
148C2×#106C2312yes—
149C2×#106C2312yes—
150C2×#106C2314yes—
151C2×C4⋊C8C2312yes—
152#419—48no—
153C2×#103C2312yes—
154C2×#103C2314yes—
155C2×#103C2312yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160#407—44no—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2311yescharacteristic
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C4×C8C2312yes—
168#399—22no—
169#398—22no—
170#396—22no—
171#396—22no—
172#395—22no—
173#393—22no—
174#391C2312yes—
175#391C2311yescharacteristic
176#390—21no—
177#390—21no—
178#390—22no—
179#390—24no—
180#390—22no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389C2311yescharacteristic
186#388—24no—
187#388—24no—
188#388—24no—
189#388—24no—
190#387—21no—
191#386—22no—
192#386—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#385—21no—
197#385—22no—
198#385—22no—
199#384—21no—
200#384—21no—
201#384—21no—
202#384C2312yes—
203#384C2312yes—
204#384C2311yescharacteristic
205#380—21no—
206#380—21no—
207#380—22no—
208#380—22no—
209#380—22no—
210#380C2312yes—
211#380C2314yes—
212#380C2312yes—
213#380C2314yes—
214#380C2311yescharacteristic
215#379—22no—
216C4×C4⋊C4—22no—
217C4×C4⋊C4—24no—
218C4×C4⋊C4—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C22⋊C4—21no—
226C2×#95—22no—
227C2×#95—21no—
228#340C2314yes—
229#340C2312yes—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2312yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C22×Q8—22no—
241C22×Q8—24no—
242C22×Q8—28no—
243C22×Q8—42no—
244C22×Q8—44no—
245C22×Q8C2412yes—
246C22×Q8C2411yescharacteristic
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—42no—
250C22×D4C2×D411yescharacteristic
251C22×D4C2×D412yes—
252C22×D4C2×D411yescharacteristic
253C23×C4—21no—
254C23×C4—28no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—22no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—44no—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D412yes—
264C23×C4C2×D412yes—
265C23×C4C2×D412yes—
266C23×C4C2×D411yescharacteristic
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2411yescharacteristic
270C2×M16—28no—
271C2×M16—44no—
272C2×M16—44no—
273C22×C8C2412yes—
274C22×C8C2414yes—
275C22×C8C2412yes—
276C4⋊Q8—24no—
277C4⋊Q8—44no—
278C22⋊Q8—22no—
279C22⋊Q8—24no—
280C22⋊Q8—24no—
281C22⋊Q8—28no—
282C22⋊Q8—24no—
283C22⋊Q8—24no—
284C22⋊Q8—48no—
285C22⋊Q8—42no—
286C22⋊Q8—42no—
287C22⋊Q8—48no—
288C22⋊Q8—48no—
289C22⋊Q8—44no—
290C22⋊Q8#4114yes—
291C4×Q8—24no—
292C4×D4—24no—
293C4×D4—28no—
294C4×D4—24no—
295C4×D4—28no—
296C4×D4—24no—
297C4×D4—44no—
298C4×D4—44no—
299C4×D4#4118yes—
300#117—28no—
301#117—28no—
302#117—44no—
303#117—44no—
304#117—48no—
305#117—48no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—48no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2×D412yes—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2414yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—48no—
361C2×C22⋊C4—48no—
362C2×C22⋊C4—84no—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C42—24no—
368C2×C42—24no—
369C2×C42—24no—
370C2×C42—21no—
371C2×C42—21no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—48no—
375C2×C42—44no—
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2411yescharacteristic
379C2×C42C2411yescharacteristic
380#107—44no—
381#106—24no—
382#106—24no—
383#106—44no—
384C4⋊C8—24no—
385#103—24no—
386#103—24no—
387#103—28no—
388#103—44no—
389#103—44no—
390#103—44no—
391#103—44no—
392C22⋊C8—28no—
393C22⋊C8—22no—
394C22⋊C8—22no—
395C22⋊C8—24no—
396C22⋊C8—44no—
397C22⋊C8—44no—
398C4×C8—24no—
399#95—24no—
400#95—24no—
401#95—22no—
402#95—22no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412C24—24no—
413C24—24no—
414C24—24no—
415C24—24no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C22×D411yescharacteristic
422C2×Q8—21no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—24no—
426C2×Q8—22no—
427C2×Q8—24no—
428C2×Q8—22no—
429C2×Q8—44no—
430C2×Q8—416no—
431C2×Q8—44no—
432C2×Q8—82no—
433C2×Q8—88no—
434C2×Q8C2×#4112yes—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—24no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—416no—
443C2×D4—42no—
444C2×D4#12314yes—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—41no—
478C22×C4—416no—
479C22×C4—416no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—82no—
493C22×C4—82no—
494C22×C4#13714yes—
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D411yescharacteristic
499C22×C4C22×D411yescharacteristic
500C22×C4C22×D411yescharacteristic
501C22×C4C22×D411yescharacteristic
502C22×C4C2×#4118yes—
503C22×C4C2×#4112yes—
504C22×C4H(5,𝔽2)12yes—
505C22×C4C2511yescharacteristic
506M16—88no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—24no—
511C2×C8—22no—
512C2×C8—24no—
513C2×C8—22no—
514C2×C8—24no—
515C2×C8—22no—
516C4⋊C4—24no—
517C4⋊C4—24no—
518C4⋊C4—22no—
519C4⋊C4—24no—
520C4⋊C4—22no—
521C4⋊C4—21no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C4⋊C4—44no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—44no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4—82no—
546C4⋊C4—82no—
547C4⋊C4—82no—
548C4⋊C4#12314yes—
549C4⋊C4C2×#4112yes—
550C4⋊C4H(5,𝔽2)14yes—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—42no—
563C22⋊C4—82no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4—82no—
567C22⋊C4#12318yes—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—48no—
572C42—48no—
573C42—42no—
574C42—44no—
575C42—44no—
576C42—42no—
577C42C2×#4114yes—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—48no—
596C23—48no—
597C23—48no—
598C23—48no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23C2×#12314yes—
603C23#54612yes—
604C23C2×#13712yes—
605C23#57712yes—
606C23C23×D411yescharacteristic
607Q8—24no—
608Q8—42no—
609Q8—44no—
610Q8—44no—
611Q8—88no—
612D4—28no—
613D4—48no—
614D4—44no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—28no—
624C2×C4—24no—
625C2×C4—28no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—48no—
638C2×C4—44no—
639C2×C4—48no—
640C2×C4—48no—
641C2×C4—48no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—88no—
669C2×C4—88no—
670C2×C4—88no—
671C2×C4—84no—
672C2×C4C2×#12312yes—
673C2×C4C2×#12314yes—
674C2×C4C2×#12312yes—
675C2×C4#54612yes—
676C2×C4C2×#13712yes—
677C2×C4C2×#13712yes—
678C2×C4#57512yes—
679C2×C4C22×#4111yescharacteristic
680C2×C4C22×#4112yes—
681C2×C4C2×H(5,𝔽2)12yes—
682C2×C4C2×H(5,𝔽2)11yescharacteristic
683C8—42no—
684C8—44no—
685C8—42no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—816no—
707C22#332914yes—
708C22C22×#12311yescharacteristic
709C22C2×#54611yescharacteristic
710C22#348411yescharacteristic
711C22C22×#13711yescharacteristic
712C22C2×#57511yescharacteristic
713C22C2×#57711yescharacteristic
714C22#358611yescharacteristic
715C4—22no—
716C4—22no—
717C4—22no—
718C4—24no—
719C4—41no—
720C4—42no—
721C4—42no—
722C4—44no—
723C4—42no—
724C4—81no—
725C4—82no—
726C4—81no—
727C4—84no—
728C4—82no—
729C4—82no—
730C4#309514yes—
731C4#348112yes—
732C4#351912yes—
733C2—24no—
734C2—44no—
735C2—82no—
736C2#3623611yescharacteristic
737C2C2×#309511yescharacteristic
738C2#6052211yescharacteristic
739C2C2×#332911yescharacteristic
740C2#6116511yescharacteristic
741C2#6158611yescharacteristic
742C2#6159611yescharacteristic
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. #33108C2semidirect
4. #32985C2semidirect
5. #27972C2semidirect
6. #27681C2semidirect
7. #26233C2semidirect
8. #26223C2semidirect
9. #24972C2semidirect
10. #24888C2semidirect
11. #24559C2semidirect
12. #24003C2semidirect
13. #22715C2semidirect
14. #22430C2semidirect
16. C4×#483C2semidirect
17. #20911C2semidirect
22. C2×#485C22semidirect
26. C2×#419C22semidirect
54. #2100C22semidirect
55. #2095C22semidirect
56. #2077C22semidirect
57. #2072C22semidirect
58. #2036C22semidirect
59. #2035C22semidirect
60. #2035C22semidirect
61. #1981C22semidirect
62. #1956C22semidirect
64. #1948C22semidirect
65. #1947C22semidirect
66. #1927C22semidirect
67. #1927C22semidirect
68. #1920C22semidirect
69. #1894C22semidirect
70. #1873C22semidirect
71. #1873C22semidirect
72. #1873C22semidirect
79. #1854C22semidirect
81. #1853C22semidirect
83. #1834C22semidirect
84. #1825C22semidirect
86. #1809C22semidirect
87. #1803C22semidirect
89. #1787C22semidirect
91. C4×#106C22semidirect
92. C4×#103C22semidirect
94. #1736C22semidirect

Maximal subgroups

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

subgroupindex
D4×C22⋊Q82
C2×#23542
#331082
#329852
#279722
#276812
#262332
#262232
#249722
#248882
#245592
#240032
#227152
#224302
#224012
C4×#4832
#209112