Finite Group Databasebeta

← #7657375

Subgroups — #7657375

Order 512.

4888 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42630C212yesmaximal, complemented
2#42619C212yesmaximal, complemented
3#42548C212yesmaximal, complemented
4#42539C212yesmaximal, complemented
5#40887C214yesmaximal, complemented
6#40872C214yesmaximal, complemented
7#40774C214yesmaximal, complemented
8#40765C214yesmaximal, complemented
9#39479C211yesmaximal, characteristic, complemented
10#39350C211yesmaximal, characteristic, complemented
11#39203C211yesmaximal, characteristic, complemented
12#39191C211yesmaximal, characteristic, complemented
13#38130C212yesmaximal, complemented
14#38117C212yesmaximal, complemented
15#37856C212yesmaximal, complemented
16#37669C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37509C212yesmaximal, complemented
20#37498C212yesmaximal, complemented
21#36415C211yesmaximal, characteristic, complemented
22#36407C211yesmaximal, characteristic, complemented
23#36160C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic, complemented
25#35989C212yesmaximal, complemented
26#35798C212yesmaximal, complemented
27#35774C212yesmaximal, complemented
28#35734C212yesmaximal, complemented
29#35291C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34635C212yesmaximal, complemented
32#34621C211yesmaximal, characteristic, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34316C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2212yes—
39C2×#525C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2862C2211yescharacteristic, complemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2850C2212yescomplemented
48#2848C2212yes—
49#2847C2212yes—
50#2837C2214yescomplemented
51#2835C2214yescomplemented
52#2832C2214yescomplemented
53#2827C2214yes—
54#2826C2214yescomplemented
55#2825C2214yes—
56#2798C2214yescomplemented
57#2797C2214yes—
58#2786C2214yescomplemented
59#2782C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yes—
62#2754C2214yescomplemented
63#2754C2214yescomplemented
64#2753C2214yescomplemented
65#2749C2214yes—
66#2744C2214yescomplemented
67#2738C2214yescomplemented
68#2735C2214yes—
69#2735C2214yes—
70#2730C2214yes—
71#2723C2214yescomplemented
72#2717C2214yes—
73#2711C2214yescomplemented
74#2705C2214yescomplemented
75#2702C2214yes—
76#2698C2214yescomplemented
77#2696C2214yescomplemented
78#2678C2214yes—
79#2670C2214yes—
80#2655C2214yescomplemented
81#2653C2214yes—
82#2652C2214yescomplemented
83#2651C2212yescomplemented
84#2651C2212yescomplemented
85#2651C2214yescomplemented
86#2650C2214yescomplemented
87#2649C2214yescomplemented
88#2648C2212yes—
89#2648C2212yes—
90#2648C2214yescomplemented
91#2647C2211yescharacteristic, complemented
92#2645C2212yescomplemented
93#2644C2211yescharacteristic, complemented
94#2644C2211yescharacteristic, complemented
95#2641C2211yescharacteristic, complemented
96#2636C2214yescomplemented
97#2635C2214yes—
98#2632C2214yescomplemented
99#2629C2211yescharacteristic
100#2629C2212yescomplemented
101#2628C2212yescomplemented
102#2628C2212yescomplemented
103#2625C2212yes—
104#2625C2212yes—
105#2625C2212yescomplemented
106#2625C2212yescomplemented
107#2624C2212yes—
108#2624C2212yes—
109#2624C2211yescharacteristic
110#2624C2211yescharacteristic
111#2624C2212yes—
112#2624C2212yescomplemented
113#2624C2212yescomplemented
114#2623C2214yescomplemented
115#2623C2214yescomplemented
116#2622C2214yes—
117#2622C2214yes—
118#2620C2212yescomplemented
119#2619C2211yescharacteristic
120#2597C2214yescomplemented
121#2596C2214yescomplemented
122#2588C2214yescomplemented
123#2577C2214yescomplemented
124#2576C2214yescomplemented
125#2574C2214yescomplemented
126#2573C2214yes—
127#2573C2214yescomplemented
128#2571C2212yescomplemented
129#2570C2212yescomplemented
130#2563C2211yescharacteristic
131#2563C2211yescharacteristic, complemented
132#2562C2212yes—
133#2559C2214yescomplemented
134#2557C2214yescomplemented
135#2557C2214yescomplemented
136#2556C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2551C2211yescharacteristic, complemented
139#2547C2212yes—
140#2547C2211yescharacteristic, complemented
141#2542C2211yescharacteristic
142#2537C2211yescharacteristic
143#2537C2211yescharacteristic
144#2535C2212yes—
145#2535C2212yes—
146#2525C2214yescomplemented
147#2523C2214yescomplemented
148#2522C2214yescomplemented
149#2522C2214yescomplemented
150#2521C2214yescomplemented
151#2518C2214yescomplemented
152#2515C2214yes—
153#2514C2212yescomplemented
154#2513C2212yes—
155#2513C2212yes—
156#2513C2214yescomplemented
157#2512C2212yescomplemented
158#2509C2212yescomplemented
159#2509C2212yescomplemented
160#2508C2212yescomplemented
161#2499C2212yescomplemented
162#2497C2212yescomplemented
163#2497C2212yescomplemented
164#2496C2212yescomplemented
165#2496C2212yescomplemented
166#2495C2212yes—
167#2495C2212yescomplemented
168#2495C2212yescomplemented
169#2494C2212yes—
170#2491C2212yes—
171#2491C2212yescomplemented
172#2490C2212yes—
173#2489C2212yes—
174#2489C2212yescomplemented
175#2487C2212yescomplemented
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2485C2212yescomplemented
180#2481C2214yescomplemented
181#2479C2214yescomplemented
182#2477C2214yescomplemented
183#2474C2214yes—
184#2472C2214yes—
185#2472C2214yes—
186#2470C2214yes—
187#2467C2214yescomplemented
188#2459C2214yes—
189#2459C2214yes—
190#2457C2214yes—
191#2455C2214yes—
192#2454C2212yes—
193#2453C2212yescomplemented
194#2452C2212yes—
195#2451C2212yescomplemented
196#2449C2214yescomplemented
197#2447C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2440C2212yescomplemented
201#2439C2212yescomplemented
202#2431C2212yescomplemented
203#2428C2212yescomplemented
204#2427C2214yescomplemented
205#2426C2212yescomplemented
206#2423C2212yescomplemented
207#2422C2212yes—
208#2421C2212yes—
209#2421C2212yescomplemented
210#2420C2212yes—
211#2418C2214yes—
212#2418C2214yes—
213#2416C2212yes—
214#2415C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2407C2212yes—
220#2395C2214yes—
221#2395C2214yes—
222#2395C2212yescomplemented
223#2395C2212yescomplemented
224#2395C2214yescomplemented
225#2395C2214yescomplemented
226#2392C2212yes—
227#2392C2212yes—
228#2374C2214yescomplemented
229#2370C2212yescomplemented
230#2369C2211yescharacteristic, complemented
231#2369C2212yescomplemented
232#2367C2214yescomplemented
233#2365C2211yescharacteristic, complemented
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yes—
239#2361C2212yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic, complemented
245#2352C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic, complemented
254#2347C2212yescomplemented
255#2347C2212yescomplemented
256#2345C2212yescomplemented
257#2344C2211yescharacteristic
258#2344C2211yescharacteristic
259#2342C2212yes—
260#2342C2212yes—
261#2341C2212yescomplemented
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2337C2214yescomplemented
265#2335C2214yescomplemented
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yescomplemented
269#2323C2212yes—
270#2323C2212yescomplemented
271#2320C2212yescomplemented
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic, complemented
276C4×#125C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2296C2212yescomplemented
284#2296C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic, complemented
288#2293C2211yescharacteristic, complemented
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2280C2212yes—
293#2280C2212yes—
294#2274C2212yescomplemented
295#2274C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#547—28no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319#525—48no—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117—48no—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#379C2314yes—
751#379C2312yes—
752#379C2312yes—
753#379C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—28no—
841C23×C4—44no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#127—42no—
863#126—48no—
864#126—84no—
865#125—44no—
866#125—42no—
867#125—82no—
868#124—216no—
869#124—44no—
870#124—48no—
871#124—84no—
872#123—216no—
873#123—48no—
874#123—48no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—84no—
881C22⋊Q8—82no—
882#121—28no—
883#121—28no—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—84no—
892#120—48no—
893#120—84no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—82no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—84no—
916C4×D4#4118yes—
917#117—28no—
918#117—24no—
919#117—28no—
920#117—28no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—42no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—24no—
1074C2×C42—44no—
1075C2×C42—44no—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186#41—816no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—416no—
1235C2×D4C2×#4114yes—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—432no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4C2×#4118yes—
1284C22×C4H(5,𝔽2)14yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—41no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4C2×#4118yes—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—28no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—41no—
1468C42—41no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—44no—
1477C42—41no—
1478C42C2×#4114yes—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—48no—
1513C23—48no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23C22×#4114yes—
1520C23C2×H(5,𝔽2)12yes—
1521C23C2611yescharacteristic
1522Q8—48no—
1523Q8—84no—
1524Q8—164no—
1525D4—28no—
1526D4—48no—
1527D4—48no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—88no—
1532D4—84no—
1533D4—88no—
1534D4—88no—
1535D4—84no—
1536D4—84no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—28no—
1545C2×C4—216no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—82no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—164no—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—24no—
1646C22—24no—
1647C22—22no—
1648C22—22no—
1649C22—24no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—816no—
1680C22C23×#4111yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22H(7,𝔽2)11yescharacteristic
1686C222−1+611yescharacteristic
1687C4—22no—
1688C4—24no—
1689C4—22no—
1690C4—42no—
1691C4—44no—
1692C4—41no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—44no—
1704C4—42no—
1705C4—41no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4#345514yes—
1716C4#351314yes—
1717C2—44no—
1718C2—42no—
1719C2—82no—
1720C2—82no—
1721C2—82no—
1722C2C2×#345511yescharacteristic
1723C2C2×#351311yescharacteristic
1724C2#6285711yescharacteristic
1725C2#6292511yescharacteristic
1726C2#6293011yescharacteristic
1727C2#6293611yescharacteristic
1728C2#6293711yescharacteristic
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. #42630C2semidirect
2. #42619C2semidirect
3. #42548C2semidirect
4. #42539C2semidirect
5. #40887C2semidirect
6. #40872C2semidirect
7. #40774C2semidirect
8. #40765C2semidirect
9. #39479C2semidirect
10. #39350C2semidirect
11. #39203C2semidirect
12. #39191C2semidirect
13. #38130C2semidirect
14. #38117C2semidirect
15. #37856C2semidirect
16. #37669C2semidirect
17. #37636C2semidirect
18. #37627C2semidirect
19. #37509C2semidirect
20. #37498C2semidirect
21. #36415C2semidirect
22. #36407C2semidirect
23. #36160C2semidirect
24. #36100C2semidirect
25. #35989C2semidirect
26. #35798C2semidirect
27. #35774C2semidirect
28. #35734C2semidirect
29. #35291C2semidirect
30. #35260C2semidirect
31. #34635C2semidirect
32. #34621C2semidirect
33. #34321C2semidirect
34. #34316C2semidirect
35. D4×#117C2semidirect
42. #2862C22semidirect
43. #2859C22semidirect
46. #2857C22semidirect
47. #2850C22semidirect
50. #2837C22semidirect
51. #2835C22semidirect
52. #2832C22semidirect
54. #2826C22semidirect
56. #2798C22semidirect
58. #2786C22semidirect
59. #2782C22semidirect
60. #2757C22semidirect
62. #2754C22semidirect
63. #2754C22semidirect
64. #2753C22semidirect
66. #2744C22semidirect
67. #2738C22semidirect
71. #2723C22semidirect
73. #2711C22semidirect
74. #2705C22semidirect
76. #2698C22semidirect
77. #2696C22semidirect
80. #2655C22semidirect
82. #2652C22semidirect
83. #2651C22semidirect
84. #2651C22semidirect
85. #2651C22semidirect
86. #2650C22semidirect
87. #2649C22semidirect
90. #2648C22semidirect
91. #2647C22semidirect
92. #2645C22semidirect
93. #2644C22semidirect
94. #2644C22semidirect
95. #2641C22semidirect
96. #2636C22semidirect
98. #2632C22semidirect
100. #2629C22semidirect
101. #2628C22semidirect
102. #2628C22semidirect
105. #2625C22semidirect
106. #2625C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2623C22semidirect
115. #2623C22semidirect
118. #2620C22semidirect
120. #2597C22semidirect
121. #2596C22semidirect
122. #2588C22semidirect
123. #2577C22semidirect
124. #2576C22semidirect
125. #2574C22semidirect
127. #2573C22semidirect
128. #2571C22semidirect
129. #2570C22semidirect
131. #2563C22semidirect
133. #2559C22semidirect
134. #2557C22semidirect
135. #2557C22semidirect
136. #2556C22semidirect
137. #2552C22semidirect
138. #2551C22semidirect
140. #2547C22semidirect
146. #2525C22semidirect
147. #2523C22semidirect
148. #2522C22semidirect
149. #2522C22semidirect
150. #2521C22semidirect
151. #2518C22semidirect
153. #2514C22semidirect
156. #2513C22semidirect
157. #2512C22semidirect
158. #2509C22semidirect
159. #2509C22semidirect
160. #2508C22semidirect
161. #2499C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
164. #2496C22semidirect
165. #2496C22semidirect
167. #2495C22semidirect
168. #2495C22semidirect
171. #2491C22semidirect
174. #2489C22semidirect
175. #2487C22semidirect
179. #2485C22semidirect
180. #2481C22semidirect
181. #2479C22semidirect
182. #2477C22semidirect
187. #2467C22semidirect
193. #2453C22semidirect
195. #2451C22semidirect
196. #2449C22semidirect
197. #2447C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2440C22semidirect
201. #2439C22semidirect
202. #2431C22semidirect
203. #2428C22semidirect
204. #2427C22semidirect
205. #2426C22semidirect
206. #2423C22semidirect
209. #2421C22semidirect
222. #2395C22semidirect
223. #2395C22semidirect
224. #2395C22semidirect
225. #2395C22semidirect
228. #2374C22semidirect
229. #2370C22semidirect
230. #2369C22semidirect
231. #2369C22semidirect
232. #2367C22semidirect
233. #2365C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
244. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
253. D4×C4⋊C4C22semidirect
254. #2347C22semidirect
255. #2347C22semidirect
256. #2345C22semidirect
261. #2341C22semidirect
264. #2337C22semidirect
265. #2335C22semidirect
268. #2324C22semidirect
270. #2323C22semidirect
271. #2320C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#125C22semidirect
277. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2296C22semidirect
284. #2296C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
294. #2274C22semidirect
295. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#426302
#426192
#425482
#425392
#408872
#408722
#407742
#407652
#394792
#393502
#392032
#391912
#381302
#381172
#378562
#376692
#376362
#376272
#375092
#374982
#364152
#364072
#361602
#361002
#359892
#357982
#357742
#357342
#352912
#352602
#346352
#346212
#343212
#343162
D4×#1172