Finite Group Databasebeta

← #7654303

Subgroups — #7654303

Order 512.

4544 conjugacy classes of subgroups.

The subgroup lattice has 1661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42727C212yesmaximal, complemented
2#42627C212yesmaximal, complemented
3#41569C214yesmaximal, complemented
4#41556C214yesmaximal, complemented
5#40169C212yesmaximal, complemented
6#40158C214yesmaximal, complemented
7#39536C212yesmaximal, complemented
8#39523C214yesmaximal, complemented
9#39515C211yesmaximal, characteristic, complemented
10#39194C211yesmaximal, characteristic, complemented
11#39156C211yesmaximal, characteristic, complemented
12#38931C211yesmaximal, characteristic, complemented
13#38130C212yesmaximal, complemented
14#37889C212yesmaximal, complemented
15#37859C212yesmaximal, complemented
16#37857C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37511C212yesmaximal, complemented
19#36515C212yesmaximal, complemented
20#36451C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36185C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36160C211yesmaximal, characteristic
25#36058C212yesmaximal, complemented
26#35855C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35196C211yesmaximal, characteristic, complemented
29#35163C212yesmaximal, complemented
30#35023C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34814C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2866C2214yescomplemented
40#2864C2214yescomplemented
41#2862C2211yescharacteristic, complemented
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yescomplemented
46#2851C2212yescomplemented
47#2850C2212yes—
48#2850C2212yescomplemented
49#2848C2212yes—
50#2847C2212yes—
51#2831C2214yescomplemented
52#2827C2214yescomplemented
53#2824C2214yes—
54#2801C2214yescomplemented
55#2800C2214yescomplemented
56#2798C2214yescomplemented
57#2797C2214yes—
58#2787C2214yescomplemented
59#2787C2214yescomplemented
60#2782C2214yescomplemented
61#2779C2214yes—
62#2779C2214yes—
63#2777C2214yescomplemented
64#2759C2214yescomplemented
65#2758C2214yescomplemented
66#2757C2214yescomplemented
67#2749C2214yes—
68#2746C2214yescomplemented
69#2745C2214yescomplemented
70#2740C2214yes—
71#2740C2214yescomplemented
72#2739C2214yescomplemented
73#2736C2214yes—
74#2735C2214yes—
75#2698C2214yes—
76#2697C2214yes—
77#2685C2214yes—
78#2652C2214yescomplemented
79#2651C2214yescomplemented
80#2650C2214yescomplemented
81#2649C2214yes—
82#2649C2214yescomplemented
83#2647C2212yescomplemented
84#2647C2212yescomplemented
85#2645C2212yescomplemented
86#2644C2212yes—
87#2644C2212yescomplemented
88#2643C2214yescomplemented
89#2638C2214yescomplemented
90#2637C2214yescomplemented
91#2636C2214yes—
92#2629C2212yescomplemented
93#2628C2212yescomplemented
94#2625C2212yes—
95#2625C2212yescomplemented
96#2624C2212yescomplemented
97#2622C2214yes—
98#2597C2214yes—
99#2597C2214yescomplemented
100#2595C2214yescomplemented
101#2592C2212yes—
102#2589C2214yescomplemented
103#2587C2214yescomplemented
104#2581C2212yescomplemented
105#2580C2212yes—
106#2578C2214yescomplemented
107#2576C2214yes—
108#2576C2214yescomplemented
109#2575C2214yescomplemented
110#2575C2214yescomplemented
111#2574C2214yes—
112#2573C2214yescomplemented
113#2571C2211yescharacteristic, complemented
114#2570C2212yescomplemented
115#2567C2211yescharacteristic, complemented
116#2566C2212yes—
117#2563C2211yescharacteristic
118#2560C2214yescomplemented
119#2553C2214yes—
120#2552C2211yescharacteristic, complemented
121#2547C2211yescharacteristic
122#2542C2211yescharacteristic, complemented
123#2538C2211yescharacteristic
124#2538C2212yes—
125#2537C2211yescharacteristic
126#2533C2214yescomplemented
127#2531C2214yes—
128#2530C2214yes—
129#2530C2212yescomplemented
130#2529C2214yescomplemented
131#2529C2214yescomplemented
132#2529C2214yescomplemented
133#2528C2214yescomplemented
134#2528C2214yescomplemented
135#2527C2212yescomplemented
136#2527C2214yescomplemented
137#2526C2214yescomplemented
138#2525C2214yescomplemented
139#2521C2214yescomplemented
140#2521C2214yescomplemented
141#2518C2214yes—
142#2517C2214yescomplemented
143#2516C2214yescomplemented
144#2514C2212yescomplemented
145#2514C2212yescomplemented
146#2513C2214yescomplemented
147#2512C2212yes—
148#2511C2211yescharacteristic, complemented
149#2509C2211yescharacteristic, complemented
150#2509C2212yescomplemented
151#2508C2212yescomplemented
152#2508C2212yescomplemented
153#2508C2212yescomplemented
154#2500C2212yes—
155#2500C2212yescomplemented
156#2499C2212yescomplemented
157#2499C2212yescomplemented
158#2497C2212yes—
159#2497C2212yescomplemented
160#2496C2212yes—
161#2496C2212yes—
162#2496C2212yescomplemented
163#2495C2212yes—
164#2495C2212yes—
165#2495C2212yescomplemented
166#2494C2211yescharacteristic
167#2494C2212yes—
168#2494C2212yescomplemented
169#2494C2212yescomplemented
170#2494C2212yescomplemented
171#2493C2214yescomplemented
172#2493C2214yescomplemented
173#2492C2211yescharacteristic
174#2490C2212yes—
175#2490C2212yes—
176#2489C2212yes—
177#2489C2212yescomplemented
178#2485C2212yes—
179#2485C2212yes—
180#2480C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2477C2212yes—
184#2472C2214yes—
185#2470C2212yes—
186#2466C2214yes—
187#2459C2214yes—
188#2453C2212yescomplemented
189#2452C2211yescharacteristic, complemented
190#2448C2212yes—
191#2447C2212yes—
192#2447C2211yescharacteristic, complemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2439C2212yescomplemented
196#2435C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2427C2211yescharacteristic
200#2426C2212yes—
201#2426C2212yescomplemented
202#2422C2211yescharacteristic
203#2421C2212yes—
204#2421C2212yes—
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2212yes—
208#2420C2212yescomplemented
209#2415C2212yes—
210#2415C2212yes—
211#2414C2212yes—
212#2408C2212yes—
213#2401C2214yes—
214#2401C2214yescomplemented
215#2401C2212yescomplemented
216#2398C2212yes—
217#2373C2214yescomplemented
218#2372C2214yescomplemented
219#2370C2212yescomplemented
220#2369C2211yescharacteristic, complemented
221#2367C2212yes—
222#2367C2212yes—
223#2365C2211yescharacteristic, complemented
224#2363C2212yes—
225#2363C2212yes—
226#2363C2212yescomplemented
227#2362C2212yescomplemented
228#2362C2212yescomplemented
229#2362C2212yescomplemented
230#2360C2212yes—
231#2357C2211yescharacteristic
232#2357C2211yescharacteristic
233#2355C2212yescomplemented
234#2355C2212yescomplemented
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic, complemented
238#2353C2212yes—
239#2353C2212yes—
240#2352C2212yes—
241Q8×C4⋊C4C2211yescharacteristic, complemented
242#2349C2211yescharacteristic
243#2349C2211yescharacteristic
244#2346C2212yescomplemented
245#2346C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2211yescharacteristic
248#2345C2211yescharacteristic
249#2342C2212yes—
250#2342C2212yes—
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2334C2214yescomplemented
254#2330C2212yescomplemented
255#2326C2212yes—
256#2324C2212yescomplemented
257#2323C2212yes—
258#2323C2212yescomplemented
259#2321C2214yes—
260#2320C2212yescomplemented
261#2320C2212yescomplemented
262#2318C2214yescomplemented
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#126C2214yes—
269C4×#126C2214yescomplemented
270C4×#124C2211yescharacteristic, complemented
271C4×#124C2214yescomplemented
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2295C2211yescharacteristic, complemented
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2290C2212yes—
285#2290C2212yes—
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
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×#125C2312yes—
310C2×#125C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
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×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×D4—28no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2312yes—
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#401C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#393C2314yes—
462#393C2314yes—
463#393C2312yes—
464#393C2314yes—
465#393C2312yes—
466#392C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2314yes—
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#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#381C2312yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2314yes—
701#381C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
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⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C43C2314yes—
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×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—42no—
849#126—216no—
850#126—48no—
851#126—48no—
852#125—44no—
853#125—44no—
854#124—28no—
855#124—216no—
856#124—42no—
857#124—44no—
858#123—44no—
859C22⋊Q8—28no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—42no—
867#121—28no—
868#121—28no—
869#121—44no—
870#121—44no—
871#121—42no—
872#120—48no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
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—42no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4#4118yes—
895#117—28no—
896#117—28no—
897#117—28no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—42no—
902#117—44no—
903#117—44no—
904#117—44no—
905C2×C4⋊C4—24no—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C22⋊C4—28no—
969C2×C22⋊C4—44no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C42—24no—
1029C2×C42—44no—
1030C2×C42—44no—
1031C2×C42—44no—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2414yes—
1084#95C2414yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2414yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
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—22no—
1164C2×Q8—24no—
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—24no—
1215C22×C4—41no—
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—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—816no—
1239C22×C4C2×#4118yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4C2×#4114yes—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—22no—
1347C22⋊C4—24no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—41no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4C2×#4118yes—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—28no—
1394C42—28no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—28no—
1409C42—22no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—41no—
1417C42—44no—
1418C42—44no—
1419C42—41no—
1420C42—41no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—44no—
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—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
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—84no—
1572C2×C4—84no—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4#58512yes—
1578C2×C4#58512yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C22—22no—
1583C22—22no—
1584C22—24no—
1585C22—22no—
1586C22—24no—
1587C22—24no—
1588C22—42no—
1589C22—42no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
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—42no—
1610C22—816no—
1611C22C23×#4111yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22C2×#58511yescharacteristic
1618C4—22no—
1619C4—24no—
1620C4—22no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—41no—
1633C4—44no—
1634C4—41no—
1635C4—44no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—44no—
1647C4#345514yes—
1648C4#352114yes—
1649C2—44no—
1650C2—42no—
1651C2—82no—
1652C2—82no—
1653C2C2×#345511yescharacteristic
1654C2C2×#352111yescharacteristic
1655C2#6281011yescharacteristic
1656C2#6302811yescharacteristic
1657C2#6302811yescharacteristic
1658C2#6302911yescharacteristic
1659C2#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. #42727C2semidirect
2. #42627C2semidirect
3. #41569C2semidirect
4. #41556C2semidirect
5. #40169C2semidirect
6. #40158C2semidirect
7. #39536C2semidirect
8. #39523C2semidirect
9. #39515C2semidirect
10. #39194C2semidirect
11. #39156C2semidirect
12. #38931C2semidirect
13. #38130C2semidirect
14. #37889C2semidirect
15. #37859C2semidirect
16. #37857C2semidirect
17. #37637C2semidirect
18. #37511C2semidirect
19. #36515C2semidirect
20. #36451C2semidirect
21. #36416C2semidirect
22. #36185C2semidirect
23. #36161C2semidirect
25. #36058C2semidirect
26. #35855C2semidirect
27. #35291C2semidirect
28. #35196C2semidirect
29. #35163C2semidirect
30. #35023C2semidirect
31. #34969C2semidirect
32. #34814C2semidirect
33. #34324C2semidirect
34. C4×#555C2semidirect
35. #34126C2semidirect
39. #2866C22semidirect
40. #2864C22semidirect
41. #2862C22semidirect
42. #2859C22semidirect
45. #2855C22semidirect
46. #2851C22semidirect
48. #2850C22semidirect
51. #2831C22semidirect
52. #2827C22semidirect
54. #2801C22semidirect
55. #2800C22semidirect
56. #2798C22semidirect
58. #2787C22semidirect
59. #2787C22semidirect
60. #2782C22semidirect
63. #2777C22semidirect
64. #2759C22semidirect
65. #2758C22semidirect
66. #2757C22semidirect
68. #2746C22semidirect
69. #2745C22semidirect
71. #2740C22semidirect
72. #2739C22semidirect
78. #2652C22semidirect
79. #2651C22semidirect
80. #2650C22semidirect
82. #2649C22semidirect
83. #2647C22semidirect
84. #2647C22semidirect
85. #2645C22semidirect
87. #2644C22semidirect
88. #2643C22semidirect
89. #2638C22semidirect
90. #2637C22semidirect
92. #2629C22semidirect
93. #2628C22semidirect
95. #2625C22semidirect
96. #2624C22semidirect
99. #2597C22semidirect
100. #2595C22semidirect
102. #2589C22semidirect
103. #2587C22semidirect
104. #2581C22semidirect
106. #2578C22semidirect
108. #2576C22semidirect
109. #2575C22semidirect
110. #2575C22semidirect
112. #2573C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2567C22semidirect
118. #2560C22semidirect
120. #2552C22semidirect
122. #2542C22semidirect
126. #2533C22semidirect
129. #2530C22semidirect
130. #2529C22semidirect
131. #2529C22semidirect
132. #2529C22semidirect
133. #2528C22semidirect
134. #2528C22semidirect
135. #2527C22semidirect
136. #2527C22semidirect
137. #2526C22semidirect
138. #2525C22semidirect
139. #2521C22semidirect
140. #2521C22semidirect
142. #2517C22semidirect
143. #2516C22semidirect
144. #2514C22semidirect
145. #2514C22semidirect
146. #2513C22semidirect
148. #2511C22semidirect
149. #2509C22semidirect
150. #2509C22semidirect
151. #2508C22semidirect
152. #2508C22semidirect
153. #2508C22semidirect
155. #2500C22semidirect
156. #2499C22semidirect
157. #2499C22semidirect
159. #2497C22semidirect
162. #2496C22semidirect
165. #2495C22semidirect
168. #2494C22semidirect
169. #2494C22semidirect
170. #2494C22semidirect
171. #2493C22semidirect
172. #2493C22semidirect
177. #2489C22semidirect
188. #2453C22semidirect
189. #2452C22semidirect
192. #2447C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2439C22semidirect
201. #2426C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
208. #2420C22semidirect
214. #2401C22semidirect
215. #2401C22semidirect
217. #2373C22semidirect
218. #2372C22semidirect
219. #2370C22semidirect
220. #2369C22semidirect
223. #2365C22semidirect
226. #2363C22semidirect
227. #2362C22semidirect
228. #2362C22semidirect
229. #2362C22semidirect
233. #2355C22semidirect
234. #2355C22semidirect
237. #2354C22semidirect
241. Q8×C4⋊C4C22semidirect
244. #2346C22semidirect
245. #2346C22semidirect
246. #2346C22semidirect
253. #2334C22semidirect
254. #2330C22semidirect
256. #2324C22semidirect
258. #2323C22semidirect
260. #2320C22semidirect
261. #2320C22semidirect
262. #2318C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
269. C4×#126C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
281. #2295C22semidirect
286. #2285C22semidirect
291. #2276C22semidirect
294. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427272
#426272
#415692
#415562
#401692
#401582
#395362
#395232
#395152
#391942
#391562
#389312
#381302
#378892
#378592
#378572
#376372
#375112
#365152
#364512
#364162
#361852
#361612
#361602
#360582
#358552
#352912
#351962
#351632
#350232
#349692
#348142
#343242
C4×#5552
#341262