Finite Group Databasebeta

← #8157345

Subgroups — #8157345

Order 512.

5008 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59197C212yesmaximal, complemented
2#59015C212yesmaximal, complemented
3#57293C214yesmaximal, complemented
4#55798C214yesmaximal, complemented
5#54489C214yesmaximal, complemented
6#54135C214yesmaximal, complemented
7#53039C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#52470C214yesmaximal, complemented
10#45027C212yesmaximal, complemented
11#44928C212yesmaximal, complemented
12#42946C212yesmaximal, complemented
13#42601C212yesmaximal, complemented
14#42583C212yesmaximal, complemented
15#42482C212yesmaximal, complemented
16#40487C214yesmaximal, complemented
17#39631C211yesmaximal, characteristic, complemented
18#39623C211yesmaximal, characteristic, complemented
19#38110C212yesmaximal, complemented
20#37932C212yesmaximal, complemented
21#37875C212yesmaximal, complemented
22#37860C212yesmaximal, complemented
23#37478C212yesmaximal, complemented
24#36730C212yesmaximal, complemented
25#36160C211yesmaximal, characteristic, complemented
26#36154C211yesmaximal, characteristic, complemented
27#35002C211yesmaximal, characteristic, complemented
28C2×#2420C211yesmaximal, characteristic, complemented
29#34570C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#554C2211yescharacteristic, complemented
32C2×#547C2212yes—
33C2×#546C2214yes—
34C2×#543C2212yes—
35C22×#121C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37#2857C2211yescharacteristic
38#2857C2211yescharacteristic
39#2857C2212yes—
40#2848C2212yes—
41#2847C2212yes—
42#2841C2214yescomplemented
43#2841C2214yescomplemented
44#2838C2214yescomplemented
45#2838C2214yescomplemented
46#2837C2214yescomplemented
47#2830C2214yescomplemented
48#2827C2214yescomplemented
49#2827C2214yescomplemented
50#2821C2214yescomplemented
51#2817C2214yescomplemented
52#2816C2214yescomplemented
53#2814C2214yescomplemented
54#2807C2214yescomplemented
55#2806C2212yescomplemented
56#2805C2212yescomplemented
57#2796C2214yescomplemented
58#2793C2214yescomplemented
59#2792C2214yescomplemented
60#2787C2214yescomplemented
61#2774C2214yescomplemented
62#2770C2214yescomplemented
63#2768C2214yescomplemented
64#2765C2214yescomplemented
65#2763C2214yescomplemented
66#2755C2214yescomplemented
67#2751C2214yescomplemented
68#2750C2214yescomplemented
69#2747C2214yescomplemented
70#2746C2214yescomplemented
71#2745C2214yescomplemented
72#2743C2214yescomplemented
73#2741C2214yescomplemented
74#2738C2214yescomplemented
75#2737C2214yescomplemented
76#2734C2212yescomplemented
77#2732C2212yescomplemented
78#2730C2214yescomplemented
79#2723C2214yescomplemented
80#2717C2214yescomplemented
81#2717C2214yescomplemented
82#2708C2214yescomplemented
83#2705C2214yescomplemented
84#2701C2214yescomplemented
85#2700C2214yescomplemented
86#2700C2214yescomplemented
87#2695C2214yescomplemented
88#2687C2214yescomplemented
89#2687C2214yescomplemented
90#2687C2214yescomplemented
91#2686C2214yescomplemented
92#2686C2214yescomplemented
93#2681C2214yescomplemented
94#2681C2214yescomplemented
95#2680C2214yescomplemented
96#2680C2214yescomplemented
97#2674C2214yescomplemented
98#2674C2214yescomplemented
99#2672C2214yes—
100#2672C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yes—
103#2671C2214yescomplemented
104#2667C2214yescomplemented
105#2665C2214yescomplemented
106#2663C2214yescomplemented
107#2660C2212yescomplemented
108#2659C2212yes—
109#2659C2212yes—
110#2659C2212yes—
111#2653C2212yescomplemented
112#2652C2212yescomplemented
113#2649C2212yescomplemented
114#2648C2212yescomplemented
115#2646C2211yescharacteristic
116#2646C2212yes—
117#2644C2212yescomplemented
118#2643C2212yes—
119#2639C2211yescharacteristic
120#2638C2214yescomplemented
121#2628C2212yescomplemented
122#2627C2214yescomplemented
123#2627C2214yescomplemented
124#2626C2211yescharacteristic
125#2624C2212yescomplemented
126#2622C2212yes—
127#2620C2214yescomplemented
128#2617C2211yescharacteristic
129#2616C2214yescomplemented
130#2609C2214yescomplemented
131#2571C2212yescomplemented
132#2570C2212yescomplemented
133#2569C2214yes—
134#2567C2212yescomplemented
135#2564C2214yes—
136#2563C2211yescharacteristic, complemented
137#2563C2211yescharacteristic, complemented
138#2562C2212yescomplemented
139#2553C2214yescomplemented
140#2551C2212yescomplemented
141#2549C2214yes—
142#2549C2214yescomplemented
143#2549C2214yescomplemented
144#2538C2211yescharacteristic, complemented
145#2537C2212yes—
146#2537C2211yescharacteristic, complemented
147#2512C2212yescomplemented
148#2510C2214yes—
149#2507C2212yescomplemented
150#2507C2212yescomplemented
151#2507C2212yescomplemented
152#2505C2214yes—
153#2501C2212yes—
154#2498C2214yescomplemented
155#2497C2212yescomplemented
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2493C2214yescomplemented
159#2491C2212yes—
160#2491C2212yescomplemented
161#2487C2212yes—
162#2487C2212yescomplemented
163#2487C2212yescomplemented
164#2486C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2214yes—
168#2477C2214yescomplemented
169#2472C2214yes—
170#2472C2214yes—
171#2470C2214yescomplemented
172#2459C2214yescomplemented
173#2454C2212yescomplemented
174#2452C2212yescomplemented
175#2450C2214yes—
176#2450C2214yescomplemented
177#2449C2214yes—
178#2443C2214yescomplemented
179#2442C2212yes—
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2440C2214yes—
183#2440C2212yes—
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2439C2212yescomplemented
190#2438C2214yescomplemented
191#2438C2214yescomplemented
192#2437C2214yes—
193#2437C2214yes—
194#2437C2214yes—
195#2432C2214yescomplemented
196#2430C2214yes—
197#2430C2214yescomplemented
198#2425C2214yes—
199#2422C2212yes—
200#2422C2212yescomplemented
201#2420C2212yes—
202#2420C2212yes—
203#2420C2212yes—
204#2420C2214yes—
205#2420C2212yes—
206#2420C2214yes—
207#2420C2212yescomplemented
208#2419C2214yescomplemented
209#2418C2214yes—
210#2417C2212yescomplemented
211#2416C2212yes—
212#2416C2212yes—
213#2415C2214yescomplemented
214#2414C2212yescomplemented
215#2412C2214yes—
216#2412C2214yes—
217#2408C2212yes—
218#2406C2214yescomplemented
219#2405C2214yes—
220#2401C2212yescomplemented
221#2398C2212yescomplemented
222#2395C2212yescomplemented
223#2392C2212yescomplemented
224C2×#397C2212yes—
225C2×#394C2212yes—
226#2363C2212yescomplemented
227#2361C2212yes—
228#2354C2211yescharacteristic, complemented
229#2352C2212yes—
230#2352C2212yescomplemented
231#2349C2212yescomplemented
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic, complemented
234#2345C2212yes—
235#2344C2212yescomplemented
236#2342C2214yes—
237D4×C22⋊C4C2212yes—
238#2331C2212yescomplemented
239#2329C2212yes—
240#2325C2212yes—
241#2324C2212yescomplemented
242#2319C2212yescomplemented
243#2317C2212yescomplemented
244#2315C2212yes—
245C4×C22⋊Q8C2211yescharacteristic
246C4×#121C2211yescharacteristic
247C4×#120C2212yes—
248C2×#390C2211yescharacteristic
249C2×#389C2211yescharacteristic
250#2290C2212yes—
251C2×#386C2212yes—
252C2×#382C2211yescharacteristic
253#2280C2212yes—
254C2×#381C2212yes—
255C2×#380C2212yes—
256C2×#380C2211yescharacteristic
257C2×#380C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2314yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263C24×C4C2312yes—
264#555—44no—
265#554—44no—
266#547—48no—
267#546—416no—
268#543—48no—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2314yes—
274C2×#126C2314yes—
275C2×#125C2312yes—
276C2×#124C2314yes—
277C2×#124C2314yes—
278C2×#124C2314yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×#121—44no—
302C2×#121C2312yes—
303C2×#121C2311yescharacteristic
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#120C2312yes—
314C2×#120C2314yes—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×D4—44no—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×#117C2312yes—
332C2×#117C2312yes—
333C2×#117C2312yes—
334C2×#117C2314yes—
335C2×#117C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2314yes—
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356#401C2312yes—
357#401C2314yes—
358#400C2312yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2312yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#393C2312yes—
490#392C2312yes—
491#392C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2312yes—
593#386C2312yes—
594#386C2312yes—
595#386C2312yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2312yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2312yes—
623#385C2312yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2312yes—
629#385C2314yes—
630#385C2314yes—
631#384C2314yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#384C2311yescharacteristic
636#384C2311yescharacteristic
637#383C2314yes—
638#382C2312yes—
639#382C2312yes—
640#382C2312yes—
641#382C2312yes—
642#382C2314yes—
643#382C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#381C2314yes—
651#381C2314yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2312yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2311yescharacteristic
680#380C2311yescharacteristic
681#380C2314yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#379C2314yes—
687#379C2312yes—
688#379C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710#376C2312yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2314yes—
715C2×#95C2311yescharacteristic
716C2×#95C2312yes—
717C2×#95C2311yescharacteristic
718C2×#95C2314yes—
719C25C2412yes—
720C25C2411yescharacteristic
721C2×#41—48no—
722C2×#41—48no—
723C2×#41—84no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2412yes—
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×Q8C2414yes—
729C22×D4—28no—
730C22×D4—24no—
731C22×D4—24no—
732C22×D4—42no—
733C22×D4—44no—
734C22×D4—82no—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2411yescharacteristic
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C23×C4—24no—
747C23×C4—28no—
748C23×C4—42no—
749C23×C4—42no—
750C23×C4—44no—
751C23×C4—82no—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2411yescharacteristic
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2411yescharacteristic
773C4⋊Q8—44no—
774C4⋊Q8—44no—
775C4⋊Q8—42no—
776C4⋊Q8—42no—
777C4⋊Q8—84no—
778#126—84no—
779#125—44no—
780#124—48no—
781#124—48no—
782#124—84no—
783#123—48no—
784#123—48no—
785#123—48no—
786#123—48no—
787#123—84no—
788#123—84no—
789#123—84no—
790C22⋊Q8—24no—
791C22⋊Q8—44no—
792C22⋊Q8—48no—
793C22⋊Q8—44no—
794C22⋊Q8—48no—
795C22⋊Q8—48no—
796C22⋊Q8—48no—
797C22⋊Q8—48no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—44no—
802C22⋊Q8—84no—
803C22⋊Q8—84no—
804C22⋊Q8—82no—
805#121—28no—
806#121—28no—
807#121—24no—
808#121—48no—
809#121—48no—
810#121—48no—
811#121—44no—
812#121—44no—
813#121—48no—
814#121—44no—
815#121—82no—
816#120—28no—
817#120—48no—
818C4×Q8—42no—
819C4×D4—24no—
820C4×D4—24no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—42no—
824C4×D4—42no—
825C4×D4—44no—
826C4×D4—44no—
827C4×D4—44no—
828C4×D4—42no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—48no—
832C4×D4—48no—
833#117—44no—
834#117—44no—
835#117—44no—
836#117—82no—
837#117—84no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—44no—
840C2×C4⋊C4—42no—
841C2×C4⋊C4—42no—
842C2×C4⋊C4—44no—
843C2×C4⋊C4—44no—
844C2×C4⋊C4—44no—
845C2×C4⋊C4—82no—
846C2×C4⋊C4—82no—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C22⋊C4—24no—
908C2×C22⋊C4—216no—
909C2×C22⋊C4—24no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—82no—
914C2×C22⋊C4—82no—
915C2×C22⋊C4—82no—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C42—42no—
973C2×C42—42no—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2411yescharacteristic
977C2×C42C2412yes—
978C2×C42C2411yescharacteristic
979C2×C42C2412yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2414yes—
987C2×C42C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048C24—22no—
1049C24—22no—
1050C24—24no—
1051C24—24no—
1052C24—24no—
1053C24—24no—
1054C24—41no—
1055C24—42no—
1056C24—42no—
1057C24—41no—
1058C24—41no—
1059C24—42no—
1060C24—41no—
1061C24H(5,𝔽2)14yes—
1062C24C2512yes—
1063C24C2512yes—
1064C24C2512yes—
1065C24C2512yes—
1066C24C2511yescharacteristic
1067#41—832no—
1068C2×Q8—22no—
1069C2×Q8—41no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—41no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—42no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—44no—
1080C2×Q8—42no—
1081C2×Q8—44no—
1082C2×Q8—42no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—28no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—24no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—416no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—44no—
1104C2×D4—42no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—816no—
1117C2×D4H(5,𝔽2)14yes—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—28no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—24no—
1128C22×C4—22no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—22no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—41no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—44no—
1154C22×C4—42no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—44no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—42no—
1175C22×C4—41no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—88no—
1180C22×C4—816no—
1181C22×C42−1+414yes—
1182C22×C42−1+414yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2514yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—41no—
1221C4⋊C4—44no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—41no—
1229C4⋊C4—42no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C42—22no—
1324C42—22no—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—42no—
1330C42—41no—
1331C42—41no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—28no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—44no—
1369C23—44no—
1370C23—48no—
1371C23—48no—
1372C23—48no—
1373C23—48no—
1374C23—82no—
1375C23—82no—
1376C23—84no—
1377C23—82no—
1378C23—84no—
1379C23—82no—
1380C23—84no—
1381C23C2×H(5,𝔽2)14yes—
1382C23C2×H(5,𝔽2)14yes—
1383C23C2×H(5,𝔽2)12yes—
1384C23C2×2−1+412yes—
1385C23C2×2−1+412yes—
1386C23C2611yescharacteristic
1387Q8—82no—
1388Q8—88no—
1389Q8—162no—
1390Q8—162no—
1391Q8—164no—
1392D4—28no—
1393D4—48no—
1394D4—416no—
1395D4—48no—
1396D4—48no—
1397D4—44no—
1398D4—82no—
1399D4—84no—
1400D4—88no—
1401D4—88no—
1402D4—164no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—28no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—44no—
1471C2×C4—48no—
1472C2×C4—48no—
1473C2×C4—48no—
1474C2×C4—48no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4—82no—
1480C2×C4—88no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—88no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—164no—
1490C2×C4C2×H(5,𝔽2)12yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4#58512yes—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—24no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—88no—
1531C22—816no—
1532C22#354414yes—
1533C22C22×H(5,𝔽2)11yescharacteristic
1534C22C22×H(5,𝔽2)11yescharacteristic
1535C22C22×2−1+411yescharacteristic
1536C22C22×2−1+411yescharacteristic
1537C22C2×#58511yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C22H(7,𝔽2)11yescharacteristic
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4—44no—
1549C4—44no—
1550C4—42no—
1551C4—44no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4#353514yes—
1564C2—24no—
1565C2—44no—
1566C2—44no—
1567C2—82no—
1568C2—82no—
1569C2C2×#353511yescharacteristic
1570C2C2×#354411yescharacteristic
1571C2#6288111yescharacteristic
1572C2#6289211yescharacteristic
1573C2#6289411yescharacteristic
1574C2#6290511yescharacteristic
1575C2#6292911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59197C2semidirect
2. #59015C2semidirect
3. #57293C2semidirect
4. #55798C2semidirect
5. #54489C2semidirect
6. #54135C2semidirect
7. #53039C2semidirect
8. #52972C2semidirect
9. #52470C2semidirect
10. #45027C2semidirect
11. #44928C2semidirect
12. #42946C2semidirect
13. #42601C2semidirect
14. #42583C2semidirect
15. #42482C2semidirect
16. #40487C2semidirect
17. #39631C2semidirect
18. #39623C2semidirect
19. #38110C2semidirect
20. #37932C2semidirect
21. #37875C2semidirect
22. #37860C2semidirect
23. #37478C2semidirect
24. #36730C2semidirect
25. #36160C2semidirect
26. #36154C2semidirect
27. #35002C2semidirect
28. C2×#2420C2semidirect
29. #34570C2semidirect
30. C2×#555C22semidirect
31. C2×#554C22semidirect
42. #2841C22semidirect
43. #2841C22semidirect
44. #2838C22semidirect
45. #2838C22semidirect
46. #2837C22semidirect
47. #2830C22semidirect
48. #2827C22semidirect
49. #2827C22semidirect
50. #2821C22semidirect
51. #2817C22semidirect
52. #2816C22semidirect
53. #2814C22semidirect
54. #2807C22semidirect
55. #2806C22semidirect
56. #2805C22semidirect
57. #2796C22semidirect
58. #2793C22semidirect
59. #2792C22semidirect
60. #2787C22semidirect
61. #2774C22semidirect
62. #2770C22semidirect
63. #2768C22semidirect
64. #2765C22semidirect
65. #2763C22semidirect
66. #2755C22semidirect
67. #2751C22semidirect
68. #2750C22semidirect
69. #2747C22semidirect
70. #2746C22semidirect
71. #2745C22semidirect
72. #2743C22semidirect
73. #2741C22semidirect
74. #2738C22semidirect
75. #2737C22semidirect
76. #2734C22semidirect
77. #2732C22semidirect
78. #2730C22semidirect
79. #2723C22semidirect
80. #2717C22semidirect
81. #2717C22semidirect
82. #2708C22semidirect
83. #2705C22semidirect
84. #2701C22semidirect
85. #2700C22semidirect
86. #2700C22semidirect
87. #2695C22semidirect
88. #2687C22semidirect
89. #2687C22semidirect
90. #2687C22semidirect
91. #2686C22semidirect
92. #2686C22semidirect
93. #2681C22semidirect
94. #2681C22semidirect
95. #2680C22semidirect
96. #2680C22semidirect
97. #2674C22semidirect
98. #2674C22semidirect
100. #2672C22semidirect
101. #2672C22semidirect
103. #2671C22semidirect
104. #2667C22semidirect
105. #2665C22semidirect
106. #2663C22semidirect
107. #2660C22semidirect
111. #2653C22semidirect
112. #2652C22semidirect
113. #2649C22semidirect
114. #2648C22semidirect
117. #2644C22semidirect
120. #2638C22semidirect
121. #2628C22semidirect
122. #2627C22semidirect
123. #2627C22semidirect
125. #2624C22semidirect
127. #2620C22semidirect
129. #2616C22semidirect
130. #2609C22semidirect
131. #2571C22semidirect
132. #2570C22semidirect
134. #2567C22semidirect
136. #2563C22semidirect
137. #2563C22semidirect
138. #2562C22semidirect
139. #2553C22semidirect
140. #2551C22semidirect
142. #2549C22semidirect
143. #2549C22semidirect
144. #2538C22semidirect
146. #2537C22semidirect
147. #2512C22semidirect
149. #2507C22semidirect
150. #2507C22semidirect
151. #2507C22semidirect
154. #2498C22semidirect
155. #2497C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2493C22semidirect
160. #2491C22semidirect
162. #2487C22semidirect
163. #2487C22semidirect
164. #2486C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
168. #2477C22semidirect
171. #2470C22semidirect
172. #2459C22semidirect
173. #2454C22semidirect
174. #2452C22semidirect
176. #2450C22semidirect
178. #2443C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
189. #2439C22semidirect
190. #2438C22semidirect
191. #2438C22semidirect
195. #2432C22semidirect
197. #2430C22semidirect
200. #2422C22semidirect
207. #2420C22semidirect
208. #2419C22semidirect
210. #2417C22semidirect
213. #2415C22semidirect
214. #2414C22semidirect
218. #2406C22semidirect
220. #2401C22semidirect
221. #2398C22semidirect
222. #2395C22semidirect
223. #2392C22semidirect
226. #2363C22semidirect
228. #2354C22semidirect
230. #2352C22semidirect
231. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
235. #2344C22semidirect
238. #2331C22semidirect
241. #2324C22semidirect
242. #2319C22semidirect
243. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#591972
#590152
#572932
#557982
#544892
#541352
#530392
#529722
#524702
#450272
#449282
#429462
#426012
#425832
#424822
#404872
#396312
#396232
#381102
#379322
#378752
#378602
#374782
#367302
#361602
#361542
#350022
C2×#24202
#345702