Finite Group Databasebeta

← #7654374

Subgroups — #7654374

Order 512.

4540 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42724C212yesmaximal, complemented
2#42563C212yesmaximal, complemented
3#41564C214yesmaximal, complemented
4#41561C214yesmaximal, complemented
5#40056C212yesmaximal, complemented
6#40043C214yesmaximal, complemented
7#39515C211yesmaximal, characteristic, complemented
8#39193C211yesmaximal, characteristic, complemented
9#39157C211yesmaximal, characteristic, complemented
10#39008C212yesmaximal, complemented
11#38995C214yesmaximal, complemented
12#38930C211yesmaximal, characteristic, complemented
13#38131C212yesmaximal, complemented
14#37888C212yesmaximal, complemented
15#37858C212yesmaximal, complemented
16#37856C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37509C212yesmaximal, complemented
19#36589C212yesmaximal, complemented
20#36484C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36185C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36160C211yesmaximal, characteristic
25#36037C212yesmaximal, complemented
26#35984C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35185C211yesmaximal, characteristic, complemented
29#35161C212yesmaximal, complemented
30#35023C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34814C212yesmaximal, complemented
33#34321C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2865C2214yescomplemented
40#2864C2212yescomplemented
41#2862C2211yescharacteristic, complemented
42#2860C2212yes—
43#2860C2214yescomplemented
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2851C2212yescomplemented
48#2850C2212yescomplemented
49#2848C2212yes—
50#2847C2212yes—
51#2837C2214yescomplemented
52#2835C2214yescomplemented
53#2827C2214yes—
54#2798C2214yescomplemented
55#2796C2214yescomplemented
56#2781C2214yes—
57#2781C2214yes—
58#2779C2214yescomplemented
59#2778C2214yes—
60#2770C2214yescomplemented
61#2770C2214yescomplemented
62#2762C2214yescomplemented
63#2759C2214yescomplemented
64#2757C2214yescomplemented
65#2753C2214yes—
66#2746C2214yescomplemented
67#2744C2214yescomplemented
68#2743C2214yes—
69#2743C2214yescomplemented
70#2738C2214yescomplemented
71#2738C2214yescomplemented
72#2737C2214yescomplemented
73#2735C2214yes—
74#2735C2214yes—
75#2689C2214yes—
76#2685C2214yes—
77#2684C2214yes—
78#2655C2214yescomplemented
79#2653C2214yes—
80#2652C2214yescomplemented
81#2651C2214yescomplemented
82#2650C2214yescomplemented
83#2650C2214yescomplemented
84#2649C2214yescomplemented
85#2648C2214yes—
86#2647C2212yescomplemented
87#2645C2212yescomplemented
88#2645C2212yescomplemented
89#2643C2214yescomplemented
90#2629C2212yescomplemented
91#2628C2212yescomplemented
92#2625C2212yes—
93#2625C2212yescomplemented
94#2625C2212yescomplemented
95#2624C2212yescomplemented
96#2622C2214yes—
97#2620C2212yes—
98#2597C2214yescomplemented
99#2596C2214yescomplemented
100#2596C2214yescomplemented
101#2595C2214yes—
102#2593C2214yescomplemented
103#2592C2212yes—
104#2589C2214yescomplemented
105#2588C2214yescomplemented
106#2587C2214yescomplemented
107#2581C2212yescomplemented
108#2580C2212yes—
109#2578C2214yes—
110#2578C2214yes—
111#2577C2214yes—
112#2576C2214yescomplemented
113#2573C2214yescomplemented
114#2572C2214yescomplemented
115#2571C2211yescharacteristic, complemented
116#2571C2212yescomplemented
117#2567C2211yescharacteristic, complemented
118#2566C2212yes—
119#2563C2211yescharacteristic
120#2552C2211yescharacteristic, complemented
121#2547C2211yescharacteristic
122#2542C2211yescharacteristic, complemented
123#2538C2211yescharacteristic
124#2537C2211yescharacteristic
125#2536C2212yes—
126#2532C2212yescomplemented
127#2530C2214yescomplemented
128#2529C2212yescomplemented
129#2526C2214yescomplemented
130#2525C2214yescomplemented
131#2525C2214yescomplemented
132#2524C2214yescomplemented
133#2524C2214yescomplemented
134#2522C2214yes—
135#2521C2214yes—
136#2521C2214yescomplemented
137#2521C2214yescomplemented
138#2516C2214yescomplemented
139#2516C2214yescomplemented
140#2515C2214yescomplemented
141#2514C2212yescomplemented
142#2514C2212yescomplemented
143#2513C2212yes—
144#2512C2211yescharacteristic, complemented
145#2509C2212yescomplemented
146#2509C2212yescomplemented
147#2509C2212yescomplemented
148#2508C2211yescharacteristic, complemented
149#2508C2212yescomplemented
150#2504C2212yes—
151#2503C2212yescomplemented
152#2500C2212yescomplemented
153#2499C2212yescomplemented
154#2497C2212yes—
155#2497C2212yescomplemented
156#2496C2212yes—
157#2496C2212yes—
158#2496C2212yescomplemented
159#2495C2211yescharacteristic
160#2495C2212yes—
161#2495C2212yescomplemented
162#2495C2212yescomplemented
163#2495C2212yescomplemented
164#2494C2212yes—
165#2494C2212yes—
166#2494C2214yescomplemented
167#2494C2212yescomplemented
168#2493C2214yescomplemented
169#2493C2214yescomplemented
170#2491C2211yescharacteristic
171#2490C2212yes—
172#2490C2212yescomplemented
173#2489C2212yes—
174#2489C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2480C2214yes—
178#2480C2214yes—
179#2480C2214yes—
180#2479C2212yes—
181#2474C2212yes—
182#2472C2214yes—
183#2469C2214yescomplemented
184#2467C2214yes—
185#2466C2214yes—
186#2466C2214yescomplemented
187#2459C2214yes—
188#2453C2212yescomplemented
189#2451C2211yescharacteristic, complemented
190#2448C2212yes—
191#2448C2211yescharacteristic, complemented
192#2447C2212yes—
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2439C2212yescomplemented
196#2435C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2427C2212yescomplemented
200#2426C2212yes—
201#2426C2211yescharacteristic
202#2423C2211yescharacteristic
203#2423C2212yescomplemented
204#2421C2212yes—
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2212yes—
208#2420C2212yes—
209#2417C2212yes—
210#2415C2212yes—
211#2414C2212yes—
212#2408C2212yes—
213#2401C2214yes—
214#2401C2214yescomplemented
215#2396C2212yescomplemented
216#2395C2212yes—
217#2373C2214yescomplemented
218#2370C2212yescomplemented
219#2369C2211yescharacteristic, complemented
220#2367C2212yes—
221#2367C2212yes—
222#2367C2214yescomplemented
223#2365C2211yescharacteristic, complemented
224#2363C2212yes—
225#2363C2212yescomplemented
226#2362C2212yescomplemented
227#2362C2212yescomplemented
228#2362C2212yescomplemented
229#2361C2212yes—
230#2360C2212yes—
231#2357C2211yescharacteristic
232#2357C2211yescharacteristic
233#2356C2212yescomplemented
234#2355C2211yescharacteristic, complemented
235#2355C2212yescomplemented
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2353C2212yes—
239#2353C2212yes—
240#2352C2212yes—
241#2349C2211yescharacteristic
242#2349C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic, complemented
244#2347C2212yescomplemented
245#2347C2212yescomplemented
246#2347C2212yescomplemented
247#2345C2211yescharacteristic
248#2345C2211yescharacteristic
249#2342C2212yes—
250#2342C2212yes—
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2337C2214yescomplemented
254#2330C2212yescomplemented
255#2324C2212yes—
256#2324C2212yescomplemented
257#2323C2212yes—
258#2323C2212yescomplemented
259#2321C2214yes—
260#2320C2212yescomplemented
261#2319C2212yescomplemented
262#2318C2214yescomplemented
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#126C2214yes—
269C4×#126C2214yescomplemented
270C4×#126C2214yescomplemented
271C4×#126C2212yescomplemented
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic, complemented
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×#121C2211yescharacteristic
278C4×#121C2212yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic, complemented
284#2290C2212yes—
285#2290C2212yes—
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#555—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#120C2314yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—28no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2312yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#383C2314yes—
675#383C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#381C2312yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#379C2314yes—
728#379C2312yes—
729#379C2312yes—
730#379C2314yes—
731#379C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C25C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×D4—24no—
819C22×D4—42no—
820C22×D4—42no—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4—28no—
829C23×C4—44no—
830C23×C4—44no—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—42no—
848#126—216no—
849#126—48no—
850#126—44no—
851#126—48no—
852#125—44no—
853#125—44no—
854#124—28no—
855#124—216no—
856#124—42no—
857#124—44no—
858#124—44no—
859C22⋊Q8—28no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—42no—
866#121—28no—
867#121—28no—
868#121—44no—
869#121—44no—
870#121—42no—
871#120—48no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—44no—
892C4×D4—48no—
893C4×D4#4118yes—
894#117—28no—
895#117—28no—
896#117—28no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—42no—
902#117—44no—
903#117—44no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C22⋊C4—28no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C42—24no—
1031C2×C42—44no—
1032C2×C42—44no—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2414yes—
1086#95C2414yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24—24no—
1150C24—24no—
1151C24—42no—
1152C24—42no—
1153C24—42no—
1154C24—42no—
1155C24—42no—
1156C24C2512yes—
1157C24C2512yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×D4—24no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—416no—
1193C2×D4C2×#4114yes—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—816no—
1236C22×C4C2×#4118yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—44no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4C2×#4114yes—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—41no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4C2×#4118yes—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—41no—
1414C42—44no—
1415C42—44no—
1416C42—41no—
1417C42—41no—
1418C42—44no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—42no—
1423C42—44no—
1424C42—42no—
1425C42—44no—
1426C42C2×#4114yes—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—48no—
1454C23—48no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23C22×#4114yes—
1461C23#58512yes—
1462C23C2611yescharacteristic
1463Q8—48no—
1464Q8—44no—
1465Q8—84no—
1466Q8—84no—
1467D4—28no—
1468D4—48no—
1469D4—44no—
1470D4—44no—
1471D4—84no—
1472D4—88no—
1473D4—164no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—216no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—164no—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C2×C4#58512yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—22no—
1582C22—22no—
1583C22—24no—
1584C22—22no—
1585C22—24no—
1586C22—24no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—41no—
1591C22—42no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—816no—
1610C22C23×#4111yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C4—22no—
1618C4—24no—
1619C4—22no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—44no—
1643C4—42no—
1644C4—41no—
1645C4—44no—
1646C4#345514yes—
1647C4#352114yes—
1648C2—44no—
1649C2—42no—
1650C2—82no—
1651C2—82no—
1652C2C2×#345511yescharacteristic
1653C2C2×#352111yescharacteristic
1654C2#6281011yescharacteristic
1655C2#6302811yescharacteristic
1656C2#6302911yescharacteristic
1657C2#6302911yescharacteristic
1658C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36160C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42724C2semidirect
2. #42563C2semidirect
3. #41564C2semidirect
4. #41561C2semidirect
5. #40056C2semidirect
6. #40043C2semidirect
7. #39515C2semidirect
8. #39193C2semidirect
9. #39157C2semidirect
10. #39008C2semidirect
11. #38995C2semidirect
12. #38930C2semidirect
13. #38131C2semidirect
14. #37888C2semidirect
15. #37858C2semidirect
16. #37856C2semidirect
17. #37627C2semidirect
18. #37509C2semidirect
19. #36589C2semidirect
20. #36484C2semidirect
21. #36416C2semidirect
22. #36185C2semidirect
23. #36161C2semidirect
25. #36037C2semidirect
26. #35984C2semidirect
27. #35291C2semidirect
28. #35185C2semidirect
29. #35161C2semidirect
30. #35023C2semidirect
31. #34974C2semidirect
32. #34814C2semidirect
33. #34321C2semidirect
34. C4×#556C2semidirect
35. #34126C2semidirect
39. #2865C22semidirect
40. #2864C22semidirect
41. #2862C22semidirect
43. #2860C22semidirect
44. #2859C22semidirect
47. #2851C22semidirect
48. #2850C22semidirect
51. #2837C22semidirect
52. #2835C22semidirect
54. #2798C22semidirect
55. #2796C22semidirect
58. #2779C22semidirect
60. #2770C22semidirect
61. #2770C22semidirect
62. #2762C22semidirect
63. #2759C22semidirect
64. #2757C22semidirect
66. #2746C22semidirect
67. #2744C22semidirect
69. #2743C22semidirect
70. #2738C22semidirect
71. #2738C22semidirect
72. #2737C22semidirect
78. #2655C22semidirect
80. #2652C22semidirect
81. #2651C22semidirect
82. #2650C22semidirect
83. #2650C22semidirect
84. #2649C22semidirect
86. #2647C22semidirect
87. #2645C22semidirect
88. #2645C22semidirect
89. #2643C22semidirect
90. #2629C22semidirect
91. #2628C22semidirect
93. #2625C22semidirect
94. #2625C22semidirect
95. #2624C22semidirect
98. #2597C22semidirect
99. #2596C22semidirect
100. #2596C22semidirect
102. #2593C22semidirect
104. #2589C22semidirect
105. #2588C22semidirect
106. #2587C22semidirect
107. #2581C22semidirect
112. #2576C22semidirect
113. #2573C22semidirect
114. #2572C22semidirect
115. #2571C22semidirect
116. #2571C22semidirect
117. #2567C22semidirect
120. #2552C22semidirect
122. #2542C22semidirect
126. #2532C22semidirect
127. #2530C22semidirect
128. #2529C22semidirect
129. #2526C22semidirect
130. #2525C22semidirect
131. #2525C22semidirect
132. #2524C22semidirect
133. #2524C22semidirect
136. #2521C22semidirect
137. #2521C22semidirect
138. #2516C22semidirect
139. #2516C22semidirect
140. #2515C22semidirect
141. #2514C22semidirect
142. #2514C22semidirect
144. #2512C22semidirect
145. #2509C22semidirect
146. #2509C22semidirect
147. #2509C22semidirect
148. #2508C22semidirect
149. #2508C22semidirect
151. #2503C22semidirect
152. #2500C22semidirect
153. #2499C22semidirect
155. #2497C22semidirect
158. #2496C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
163. #2495C22semidirect
166. #2494C22semidirect
167. #2494C22semidirect
168. #2493C22semidirect
169. #2493C22semidirect
172. #2490C22semidirect
183. #2469C22semidirect
186. #2466C22semidirect
188. #2453C22semidirect
189. #2451C22semidirect
191. #2448C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2439C22semidirect
199. #2427C22semidirect
203. #2423C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
214. #2401C22semidirect
215. #2396C22semidirect
217. #2373C22semidirect
218. #2370C22semidirect
219. #2369C22semidirect
222. #2367C22semidirect
223. #2365C22semidirect
225. #2363C22semidirect
226. #2362C22semidirect
227. #2362C22semidirect
228. #2362C22semidirect
233. #2356C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2347C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
253. #2337C22semidirect
254. #2330C22semidirect
256. #2324C22semidirect
258. #2323C22semidirect
260. #2320C22semidirect
261. #2319C22semidirect
262. #2318C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
269. C4×#126C22semidirect
270. C4×#126C22semidirect
271. C4×#126C22semidirect
274. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
283. #2293C22semidirect
286. #2285C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427242
#425632
#415642
#415612
#400562
#400432
#395152
#391932
#391572
#390082
#389952
#389302
#381312
#378882
#378582
#378562
#376272
#375092
#365892
#364842
#364162
#361852
#361612
#361602
#360372
#359842
#352912
#351852
#351612
#350232
#349742
#348142
#343212
C4×#5562
#341262