Finite Group Databasebeta

← #8094669

Subgroups — #8094669

Order 512.

4789 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53129C212yesmaximal, complemented
2#53097C212yesmaximal, complemented
3#53021C212yesmaximal, complemented
4#52974C212yesmaximal, complemented
5#52750C212yesmaximal, complemented
6#52748C212yesmaximal, complemented
7#52745C214yesmaximal, complemented
8#52717C212yesmaximal, complemented
9#52689C214yesmaximal, complemented
10#52623C212yesmaximal, complemented
11#46302C212yesmaximal, complemented
12#46237C212yesmaximal, complemented
13#45930C214yesmaximal, complemented
14#45697C211yesmaximal, characteristic, complemented
15#45650C212yesmaximal, complemented
16#45646C212yesmaximal, complemented
17#45622C211yesmaximal, characteristic, complemented
18#45488C211yesmaximal, characteristic, complemented
19#45479C211yesmaximal, characteristic, complemented
20#45469C214yesmaximal, complemented
21#45453C212yesmaximal, complemented
22#45442C212yesmaximal, complemented
23#35604C212yesmaximal, complemented
24#35586C212yesmaximal, complemented
25#35573C212yesmaximal, complemented
26#35260C212yesmaximal, complemented
27#35225C212yesmaximal, complemented
28#35164C212yesmaximal, complemented
29#34979C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34875C211yesmaximal, characteristic, complemented
32C2×#563C2212yes—
33C2×H(3,𝔽4)C2212yes—
34C2×#542C2212yes—
35C2×#533C2211yescharacteristic, complemented
36C2×#525C2212yes—
37C2×C4×#41C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic, complemented
39C22×#117C2211yescharacteristic, complemented
40#2866C2214yescomplemented
41#2861C2214yescomplemented
42#2857C2212yescomplemented
43#2850C2212yes—
44#2849C2214yes—
45#2848C2212yescomplemented
46#2848C2214yescomplemented
47#2847C2212yes—
48#2841C2214yescomplemented
49#2838C2214yescomplemented
50#2837C2214yescomplemented
51#2837C2214yescomplemented
52#2837C2214yescomplemented
53#2836C2214yescomplemented
54#2834C2212yescomplemented
55#2832C2214yescomplemented
56#2831C2214yescomplemented
57#2831C2214yescomplemented
58#2831C2214yescomplemented
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yes—
62#2826C2212yes—
63#2826C2214yescomplemented
64#2820C2214yescomplemented
65#2817C2212yescomplemented
66#2814C2214yescomplemented
67#2814C2214yescomplemented
68#2812C2214yes—
69#2812C2212yes—
70#2806C2214yescomplemented
71#2803C2214yes—
72#2800C2214yescomplemented
73#2797C2214yescomplemented
74#2796C2214yescomplemented
75#2795C2214yescomplemented
76#2790C2214yescomplemented
77#2788C2214yescomplemented
78#2787C2214yescomplemented
79#2783C2214yescomplemented
80#2780C2214yescomplemented
81#2779C2214yescomplemented
82#2779C2214yescomplemented
83#2752C2212yes—
84#2746C2214yes—
85#2739C2214yescomplemented
86#2735C2214yescomplemented
87#2735C2212yescomplemented
88#2735C2214yescomplemented
89#2731C2214yescomplemented
90#2722C2212yescomplemented
91#2717C2212yes—
92#2713C2214yescomplemented
93#2712C2212yes—
94#2712C2214yes—
95#2710C2214yes—
96#2704C2214yescomplemented
97#2700C2214yes—
98#2700C2214yescomplemented
99#2700C2214yescomplemented
100#2697C2212yes—
101#2697C2212yes—
102#2691C2214yescomplemented
103#2689C2214yescomplemented
104#2686C2214yescomplemented
105#2685C2214yes—
106#2685C2214yescomplemented
107#2685C2214yescomplemented
108#2684C2214yes—
109#2684C2212yes—
110#2681C2214yescomplemented
111#2678C2214yescomplemented
112#2677C2214yescomplemented
113#2674C2214yescomplemented
114#2653C2214yescomplemented
115#2648C2214yescomplemented
116#2638C2214yescomplemented
117#2630C2214yes—
118#2628C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yes—
121#2620C2212yes—
122#2611C2212yescomplemented
123#2611C2212yescomplemented
124#2610C2214yescomplemented
125#2609C2212yes—
126#2609C2212yescomplemented
127#2604C2214yescomplemented
128#2601C2214yescomplemented
129#2599C2212yescomplemented
130#2598C2212yes—
131#2596C2214yescomplemented
132#2588C2214yescomplemented
133#2579C2211yescharacteristic
134#2579C2211yescharacteristic, complemented
135#2575C2214yescomplemented
136#2574C2214yescomplemented
137#2570C2212yescomplemented
138#2568C2211yescharacteristic, complemented
139#2567C2212yescomplemented
140#2558C2214yescomplemented
141#2556C2214yescomplemented
142#2551C2212yescomplemented
143#2547C2212yes—
144#2547C2211yescharacteristic
145#2546C2211yescharacteristic, complemented
146#2545C2212yescomplemented
147#2545C2214yescomplemented
148#2542C2211yescharacteristic
149#2540C2212yes—
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2537C2212yes—
153#2536C2212yes—
154#2536C2212yescomplemented
155#2535C2212yes—
156#2534C2211yescharacteristic
157#2534C2212yes—
158#2534C2212yescomplemented
159#2534C2211yescharacteristic, complemented
160#2532C2214yescomplemented
161#2531C2214yescomplemented
162#2531C2214yescomplemented
163#2530C2214yescomplemented
164#2529C2214yescomplemented
165#2527C2214yescomplemented
166#2525C2214yescomplemented
167#2521C2214yes—
168#2521C2214yescomplemented
169#2520C2214yescomplemented
170#2513C2212yescomplemented
171#2513C2212yescomplemented
172#2507C2212yescomplemented
173#2506C2212yescomplemented
174#2500C2212yescomplemented
175#2499C2212yescomplemented
176#2497C2212yescomplemented
177#2496C2212yescomplemented
178#2496C2212yescomplemented
179#2494C2212yescomplemented
180#2492C2212yescomplemented
181#2491C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2486C2211yescharacteristic
185#2486C2211yescharacteristic, complemented
186#2485C2212yescomplemented
187#2484C2211yescharacteristic, complemented
188#2482C2211yescharacteristic, complemented
189#2481C2214yescomplemented
190#2480C2214yescomplemented
191#2479C2214yescomplemented
192#2478C2214yescomplemented
193#2477C2214yescomplemented
194#2474C2214yes—
195#2474C2214yescomplemented
196#2472C2214yes—
197#2472C2214yescomplemented
198#2470C2214yescomplemented
199#2468C2214yescomplemented
200#2468C2214yescomplemented
201#2461C2214yes—
202#2461C2214yescomplemented
203#2460C2214yescomplemented
204#2459C2214yescomplemented
205#2452C2212yescomplemented
206#2452C2214yescomplemented
207#2451C2212yescomplemented
208#2449C2214yescomplemented
209#2448C2212yescomplemented
210#2447C2214yescomplemented
211#2447C2212yescomplemented
212#2440C2212yescomplemented
213#2439C2212yescomplemented
214#2435C2212yescomplemented
215#2432C2212yes—
216#2429C2212yescomplemented
217#2427C2212yes—
218#2426C2212yes—
219#2426C2212yescomplemented
220#2423C2212yescomplemented
221#2422C2212yes—
222#2421C2212yescomplemented
223#2421C2212yescomplemented
224#2418C2214yescomplemented
225#2417C2212yes—
226#2415C2212yescomplemented
227#2415C2212yescomplemented
228#2414C2212yes—
229#2408C2211yescharacteristic
230#2408C2212yes—
231#2408C2211yescharacteristic, complemented
232#2406C2211yescharacteristic
233#2404C2211yescharacteristic
234#2396C2212yescomplemented
235#2395C2212yescomplemented
236#2395C2212yescomplemented
237#2392C2212yes—
238#2392C2212yes—
239#2392C2212yescomplemented
240#2378C2214yescomplemented
241#2376C2212yes—
242#2376C2214yescomplemented
243#2375C2212yes—
244#2331C2212yescomplemented
245#2326C2212yescomplemented
246#2324C2212yes—
247#2323C2212yescomplemented
248#2319C2212yescomplemented
249#2314C2212yescomplemented
250C4×C4⋊Q8C2212yescomplemented
251C4×#124C2212yes—
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#123C2211yescharacteristic
255C4×#123C2211yescharacteristic, complemented
256C4×#121C2212yes—
257C4×#121C2212yescomplemented
258C4×#120C2211yescharacteristic
259C4×#120C2211yescharacteristic, complemented
260#2290C2212yes—
261#2290C2212yescomplemented
262#2285C2211yescharacteristic, complemented
263#2283C2211yescharacteristic, complemented
264#2280C2212yescomplemented
265#2276C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2312yes—
271#563—48no—
272H(3,𝔽4)—48no—
273#542—48no—
274#533—44no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2314yes—
285C2×#125C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294#525—48no—
295C2×#123C2312yes—
296C2×#123C2311yescharacteristic
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2311yescharacteristic
300C2×#123C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#120C2312yes—
318C2×#120C2311yescharacteristic
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2311yescharacteristic
322C2×#120C2312yes—
323C4×#41—44no—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×D4—44no—
331C2×C4×D4C2312yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×#117—44no—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2312yes—
383#399C2314yes—
384#399C2312yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2311yescharacteristic
628#386C2311yescharacteristic
629#386C2311yescharacteristic
630#386C2311yescharacteristic
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#385C2311yescharacteristic
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2311yescharacteristic
649#385C2314yes—
650#385C2312yes—
651#385C2311yescharacteristic
652#385C2311yescharacteristic
653#385C2312yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#383C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#381C2311yescharacteristic
677#381C2314yes—
678#381C2314yes—
679#381C2311yescharacteristic
680#381C2311yescharacteristic
681#381C2312yes—
682#381C2312yes—
683#381C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2312yes—
688#380C2311yescharacteristic
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707#379C2312yes—
708#379C2312yes—
709#379C2311yescharacteristic
710#379C2311yescharacteristic
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738#376C2312yes—
739#376C2314yes—
740#376C2312yes—
741C43C2312yes—
742C25C2411yescharacteristic
743C25C2412yes—
744C2×#41—24no—
745C2×#41—42no—
746C2×#41—42no—
747C22×Q8C2412yes—
748C22×Q8C2411yescharacteristic
749C22×Q8C2412yes—
750C22×Q8C2414yes—
751C22×Q8C2414yes—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2411yescharacteristic
765C23×C4—42no—
766C23×C4—44no—
767C23×C4—44no—
768C23×C4—44no—
769C23×C4—44no—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C4⋊Q8—44no—
788C4⋊Q8—42no—
789C4⋊Q8—44no—
790C4⋊Q8—42no—
791C4⋊Q8—44no—
792C4⋊Q8—48no—
793#126—48no—
794#126—48no—
795#126—48no—
796#125—44no—
797#125—48no—
798#124—28no—
799#124—48no—
800#124—48no—
801#124—44no—
802#124—44no—
803#124—48no—
804#124—48no—
805#124—48no—
806#123—28no—
807#123—24no—
808#123—48no—
809#123—48no—
810#123—44no—
811#123—42no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—44no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823#121—48no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#120—28no—
829#120—24no—
830#120—42no—
831#120—44no—
832#120—48no—
833#120—48no—
834C4×Q8—28no—
835C4×Q8—42no—
836C4×Q8—42no—
837C4×Q8—44no—
838C4×Q8—44no—
839C4×Q8—44no—
840C4×D4—28no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—42no—
847C4×D4—42no—
848C4×D4—42no—
849C4×D4—42no—
850C4×D4—42no—
851C4×D4—42no—
852C4×D4—48no—
853C4×D4—48no—
854#117—28no—
855#117—44no—
856#117—42no—
857#117—42no—
858#117—42no—
859#117—44no—
860#117—44no—
861#117—44no—
862#117—44no—
863#117—44no—
864C2×C4⋊C4—42no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—44no—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42—24no—
991C2×C42—42no—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2414yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—22no—
1075C24—24no—
1076C24—41no—
1077C24—42no—
1078C24—42no—
1079C24—44no—
1080C24—41no—
1081C24—42no—
1082C24—44no—
1083C24—42no—
1084C24C2512yes—
1085C24C2514yes—
1086C24C2511yescharacteristic
1087C24C2511yescharacteristic
1088C24C2511yescharacteristic
1089#41—416no—
1090C2×Q8—24no—
1091C2×Q8—22no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—22no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—44no—
1102C2×Q8—44no—
1103C2×Q8—44no—
1104C2×Q8—44no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—28no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—22no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—42no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—44no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—416no—
1137C2×D4H(5,𝔽2)14yes—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—41no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—41no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—416no—
1182C22×C4—816no—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2514yes—
1189C22×C4C2514yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—22no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—22no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—44no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—41no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—41no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—28no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—42no—
1342C42—44no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—42no—
1350C42H(5,𝔽2)14yes—
1351C23—21no—
1352C23—21no—
1353C23—22no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—24no—
1361C23—22no—
1362C23—24no—
1363C23—21no—
1364C23—21no—
1365C23—22no—
1366C23—24no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—21no—
1372C23—24no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—44no—
1379C23—48no—
1380C23—84no—
1381C23—82no—
1382C23—84no—
1383C23—88no—
1384C23—82no—
1385C23—84no—
1386C23—84no—
1387C23—88no—
1388C23C2×H(5,𝔽2)12yes—
1389C23C2×H(5,𝔽2)12yes—
1390C23C2611yescharacteristic
1391Q8—44no—
1392Q8—48no—
1393Q8—84no—
1394Q8—164no—
1395Q8—164no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—48no—
1400D4—48no—
1401D4—88no—
1402D4—84no—
1403D4—88no—
1404D4—84no—
1405D4—164no—
1406D4—164no—
1407C2×C4—28no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—48no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—48no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—88no—
1484C2×C4—88no—
1485C2×C4—82no—
1486C2×C4—84no—
1487C2×C4—82no—
1488C2×C4C2×H(5,𝔽2)12yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4C2×H(5,𝔽2)12yes—
1491C2×C4C2×H(5,𝔽2)12yes—
1492C2×C4#58512yes—
1493C2×C4#58514yes—
1494C22—22no—
1495C22—22no—
1496C22—24no—
1497C22—24no—
1498C22—41no—
1499C22—41no—
1500C22—42no—
1501C22—42no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—44no—
1506C22—42no—
1507C22—41no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—42no—
1514C22—44no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—44no—
1519C22—44no—
1520C22—42no—
1521C22—41no—
1522C22—44no—
1523C22—88no—
1524C22—816no—
1525C22C22×H(5,𝔽2)11yescharacteristic
1526C22C22×H(5,𝔽2)11yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58512yes—
1529C222−1+612yes—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—41no—
1535C4—44no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—44no—
1544C4—44no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—41no—
1551C4—41no—
1552C4—42no—
1553C4—41no—
1554C4—44no—
1555C4#352914yes—
1556C2—42no—
1557C2—42no—
1558C2—81no—
1559C2—84no—
1560C2—82no—
1561C2C2×#352911yescharacteristic
1562C2#6281811yescharacteristic
1563C2#6288611yescharacteristic
1564C2#6292112yes—
1565C2#6293612yes—
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. #53129C2semidirect
2. #53097C2semidirect
3. #53021C2semidirect
4. #52974C2semidirect
5. #52750C2semidirect
6. #52748C2semidirect
7. #52745C2semidirect
8. #52717C2semidirect
9. #52689C2semidirect
10. #52623C2semidirect
11. #46302C2semidirect
12. #46237C2semidirect
13. #45930C2semidirect
14. #45697C2semidirect
15. #45650C2semidirect
16. #45646C2semidirect
17. #45622C2semidirect
18. #45488C2semidirect
19. #45479C2semidirect
20. #45469C2semidirect
21. #45453C2semidirect
22. #45442C2semidirect
23. #35604C2semidirect
24. #35586C2semidirect
25. #35573C2semidirect
26. #35260C2semidirect
27. #35225C2semidirect
28. #35164C2semidirect
29. #34979C2semidirect
30. #34935C2semidirect
31. #34875C2semidirect
35. C2×#533C22semidirect
38. C22×C4×D4C22semidirect
39. C22×#117C22semidirect
40. #2866C22semidirect
41. #2861C22semidirect
42. #2857C22semidirect
45. #2848C22semidirect
46. #2848C22semidirect
48. #2841C22semidirect
49. #2838C22semidirect
50. #2837C22semidirect
51. #2837C22semidirect
52. #2837C22semidirect
53. #2836C22semidirect
54. #2834C22semidirect
55. #2832C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2831C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
63. #2826C22semidirect
64. #2820C22semidirect
65. #2817C22semidirect
66. #2814C22semidirect
67. #2814C22semidirect
70. #2806C22semidirect
72. #2800C22semidirect
73. #2797C22semidirect
74. #2796C22semidirect
75. #2795C22semidirect
76. #2790C22semidirect
77. #2788C22semidirect
78. #2787C22semidirect
79. #2783C22semidirect
80. #2780C22semidirect
81. #2779C22semidirect
82. #2779C22semidirect
85. #2739C22semidirect
86. #2735C22semidirect
87. #2735C22semidirect
88. #2735C22semidirect
89. #2731C22semidirect
90. #2722C22semidirect
92. #2713C22semidirect
96. #2704C22semidirect
98. #2700C22semidirect
99. #2700C22semidirect
102. #2691C22semidirect
103. #2689C22semidirect
104. #2686C22semidirect
106. #2685C22semidirect
107. #2685C22semidirect
110. #2681C22semidirect
111. #2678C22semidirect
112. #2677C22semidirect
113. #2674C22semidirect
114. #2653C22semidirect
115. #2648C22semidirect
116. #2638C22semidirect
118. #2628C22semidirect
119. #2625C22semidirect
122. #2611C22semidirect
123. #2611C22semidirect
124. #2610C22semidirect
126. #2609C22semidirect
127. #2604C22semidirect
128. #2601C22semidirect
129. #2599C22semidirect
131. #2596C22semidirect
132. #2588C22semidirect
134. #2579C22semidirect
135. #2575C22semidirect
136. #2574C22semidirect
137. #2570C22semidirect
138. #2568C22semidirect
139. #2567C22semidirect
140. #2558C22semidirect
141. #2556C22semidirect
142. #2551C22semidirect
145. #2546C22semidirect
146. #2545C22semidirect
147. #2545C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
154. #2536C22semidirect
158. #2534C22semidirect
159. #2534C22semidirect
160. #2532C22semidirect
161. #2531C22semidirect
162. #2531C22semidirect
163. #2530C22semidirect
164. #2529C22semidirect
165. #2527C22semidirect
166. #2525C22semidirect
168. #2521C22semidirect
169. #2520C22semidirect
170. #2513C22semidirect
171. #2513C22semidirect
172. #2507C22semidirect
173. #2506C22semidirect
174. #2500C22semidirect
175. #2499C22semidirect
176. #2497C22semidirect
177. #2496C22semidirect
178. #2496C22semidirect
179. #2494C22semidirect
180. #2492C22semidirect
185. #2486C22semidirect
186. #2485C22semidirect
187. #2484C22semidirect
188. #2482C22semidirect
189. #2481C22semidirect
190. #2480C22semidirect
191. #2479C22semidirect
192. #2478C22semidirect
193. #2477C22semidirect
195. #2474C22semidirect
197. #2472C22semidirect
198. #2470C22semidirect
199. #2468C22semidirect
200. #2468C22semidirect
202. #2461C22semidirect
203. #2460C22semidirect
204. #2459C22semidirect
205. #2452C22semidirect
206. #2452C22semidirect
207. #2451C22semidirect
208. #2449C22semidirect
209. #2448C22semidirect
210. #2447C22semidirect
211. #2447C22semidirect
212. #2440C22semidirect
213. #2439C22semidirect
214. #2435C22semidirect
216. #2429C22semidirect
219. #2426C22semidirect
220. #2423C22semidirect
222. #2421C22semidirect
223. #2421C22semidirect
224. #2418C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
231. #2408C22semidirect
234. #2396C22semidirect
235. #2395C22semidirect
236. #2395C22semidirect
239. #2392C22semidirect
240. #2378C22semidirect
242. #2376C22semidirect
244. #2331C22semidirect
245. #2326C22semidirect
247. #2323C22semidirect
248. #2319C22semidirect
249. #2314C22semidirect
250. C4×C4⋊Q8C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
255. C4×#123C22semidirect
257. C4×#121C22semidirect
259. C4×#120C22semidirect
261. #2290C22semidirect
262. #2285C22semidirect
263. #2283C22semidirect
264. #2280C22semidirect
265. #2276C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#531292
#530972
#530212
#529742
#527502
#527482
#527452
#527172
#526892
#526232
#463022
#462372
#459302
#456972
#456502
#456462
#456222
#454882
#454792
#454692
#454532
#454422
#356042
#355862
#355732
#352602
#352252
#351642
#349792
#349352
#348752