Finite Group Databasebeta

← #7647485

Subgroups — #7647485

Order 512.

4760 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42507C212yesmaximal, complemented
2#42505C212yesmaximal, complemented
3#42504C212yesmaximal, complemented
4#42502C212yesmaximal, complemented
5#40574C214yesmaximal, complemented
6#40571C214yesmaximal, complemented
7#39634C211yesmaximal, characteristic, complemented
8#39633C211yesmaximal, characteristic, complemented
9#39602C212yesmaximal, complemented
10#39379C211yesmaximal, characteristic, complemented
11#39377C211yesmaximal, characteristic, complemented
12#39347C212yesmaximal, complemented
13#39193C211yesmaximal, characteristic, complemented
14#39191C211yesmaximal, characteristic, complemented
15#39142C212yesmaximal, complemented
16#38978C211yesmaximal, characteristic, complemented
17#38976C211yesmaximal, characteristic, complemented
18#38927C212yesmaximal, complemented
19#37509C212yesmaximal, complemented
20#37508C212yesmaximal, complemented
21#36835C214yesmaximal, complemented
22#36830C214yesmaximal, complemented
23#35608C212yesmaximal, complemented
24#35591C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35231C212yesmaximal, complemented
27#35230C212yesmaximal, complemented
28#35205C212yesmaximal, complemented
29#35195C212yesmaximal, complemented
30#35189C211yesmaximal, characteristic, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4⋊C4×#41C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#541C2212yes—
38C2×#529C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2852C2214yes—
47#2852C2214yes—
48#2851C2212yes—
49#2851C2214yes—
50#2850C2212yes—
51#2850C2214yes—
52#2835C2214yes—
53#2827C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2790C2214yes—
57#2790C2214yes—
58#2784C2214yes—
59#2782C2214yes—
60#2781C2214yes—
61#2780C2214yes—
62#2780C2214yes—
63#2780C2214yes—
64#2779C2214yes—
65#2778C2214yes—
66#2777C2214yes—
67#2772C2214yes—
68#2770C2214yes—
69#2769C2214yes—
70#2768C2214yes—
71#2767C2214yes—
72#2766C2214yes—
73#2757C2214yes—
74#2753C2214yes—
75#2729C2214yes—
76#2725C2214yes—
77#2725C2214yes—
78#2721C2214yes—
79#2720C2214yes—
80#2720C2214yes—
81#2719C2214yes—
82#2718C2214yes—
83#2715C2214yes—
84#2711C2214yes—
85#2708C2214yes—
86#2695C2214yes—
87#2674C2214yes—
88#2655C2214yes—
89#2654C2214yes—
90#2653C2214yes—
91#2652C2214yes—
92#2651C2214yes—
93#2650C2214yes—
94#2647C2212yes—
95#2647C2212yes—
96#2645C2212yes—
97#2644C2212yes—
98#2636C2214yes—
99#2636C2214yes—
100#2633C2214yes—
101#2633C2214yes—
102#2631C2214yes—
103#2630C2214yes—
104#2630C2214yes—
105#2629C2212yes—
106#2629C2212yes—
107#2628C2212yes—
108#2628C2212yes—
109#2625C2212yes—
110#2624C2212yes—
111#2609C2214yes—
112#2602C2212yes—
113#2602C2212yes—
114#2601C2212yes—
115#2601C2212yes—
116#2601C2214yes—
117#2596C2214yes—
118#2588C2214yes—
119#2582C2211yescharacteristic
120#2582C2211yescharacteristic
121#2578C2214yes—
122#2577C2214yes—
123#2575C2214yes—
124#2574C2214yes—
125#2570C2212yes—
126#2570C2212yes—
127#2566C2211yescharacteristic
128#2565C2211yescharacteristic
129#2558C2214yes—
130#2553C2214yes—
131#2550C2212yes—
132#2550C2212yes—
133#2545C2211yescharacteristic
134#2544C2211yescharacteristic
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2537C2211yescharacteristic
140#2537C2211yescharacteristic
141#2524C2214yes—
142#2524C2214yes—
143#2521C2214yes—
144#2519C2214yes—
145#2515C2214yes—
146#2514C2212yes—
147#2512C2212yes—
148#2512C2212yes—
149#2511C2212yes—
150#2510C2214yes—
151#2509C2212yes—
152#2508C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2505C2214yes—
158#2504C2212yes—
159#2502C2212yes—
160#2501C2212yes—
161#2500C2211yescharacteristic
162#2499C2212yes—
163#2499C2211yescharacteristic
164#2497C2212yes—
165#2497C2212yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2492C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2489C2212yes—
174#2489C2214yes—
175#2487C2212yes—
176#2487C2212yes—
177#2487C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2479C2214yes—
183#2477C2214yes—
184#2475C2214yes—
185#2471C2214yes—
186#2467C2214yes—
187#2463C2214yes—
188#2460C2214yes—
189#2457C2214yes—
190#2456C2214yes—
191#2454C2214yes—
192#2454C2212yes—
193#2454C2212yes—
194#2452C2212yes—
195#2451C2212yes—
196#2450C2214yes—
197#2448C2212yes—
198#2446C2212yes—
199#2444C2214yes—
200#2442C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2432C2211yescharacteristic
209#2431C2211yescharacteristic
210#2428C2212yes—
211#2427C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2392C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2370C2212yes—
229#2367C2212yes—
230#2359C2214yes—
231#2355C2211yescharacteristic
232#2354C2211yescharacteristic
233#2352C2212yes—
234#2351C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2214yes—
239#2349C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246#2334C2214yes—
247#2331C2212yes—
248#2330C2212yes—
249#2328C2212yes—
250#2326C2212yes—
251#2324C2212yes—
252#2324C2212yes—
253#2324C2212yes—
254#2323C2212yes—
255#2320C2211yescharacteristic
256#2320C2211yescharacteristic
257#2320C2212yes—
258#2320C2212yes—
259#2319C2211yescharacteristic
260#2319C2211yescharacteristic
261#2318C2212yes—
262#2318C2212yes—
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2314C2212yes—
266#2314C2212yes—
267#2314C2212yes—
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2296C2212yes—
281#2296C2214yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2212yes—
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2212yes—
295#2274C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#542—48no—
302#541—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C4×#41—28no—
341C4×#41—28no—
342C4×#41—48no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2314yes—
391C22×C42C2312yes—
392C22×C42C2311yescharacteristic
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2312yes—
495#392C2314yes—
496#392C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#383C2312yes—
716#383C2312yes—
717#383C2314yes—
718#383C2314yes—
719#383C2314yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#381C2312yes—
736#381C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—82no—
855#127—24no—
856#126—28no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—24no—
861#125—44no—
862#125—48no—
863#125—44no—
864#125—48no—
865#125—84no—
866#125—82no—
867#124—24no—
868#124—24no—
869#124—24no—
870#124—48no—
871#123—28no—
872#123—48no—
873#123—84no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—84no—
881#121—28no—
882#121—24no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—84no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—84no—
913C4×D4—84no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—42no—
920#117—42no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—48no—
926#117—82no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—42no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C42—28no—
1061C2×C42—28no—
1062C2×C42—44no—
1063C2×C42—48no—
1064C2×C42#4118yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2512yes—
1175#41—232no—
1176#41—416no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8H(5,𝔽2)14yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D42−1+414yes—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—28no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—41no—
1446C42—41no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—41no—
1452C42—41no—
1453C42C2×#4114yes—
1454C42C2×#4114yes—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23C22×#4112yes—
1484C23C2×2−1+414yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—44no—
1488Q8—44no—
1489Q8—164no—
1490D4—216no—
1491D4—28no—
1492D4—48no—
1493D4—48no—
1494D4—44no—
1495D4—44no—
1496D4—84no—
1497D4—88no—
1498D4—84no—
1499D4—164no—
1500C2×C4—216no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—28no—
1512C2×C4—28no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—48no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—88no—
1596C2×C4—164no—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×H(5,𝔽2)14yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—24no—
1610C22—22no—
1611C22—22no—
1612C22—24no—
1613C22—24no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22C23×#4111yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×2−1+411yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C222−1+611yescharacteristic
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—44no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—44no—
1671C4—41no—
1672C4#345514yes—
1673C4#349214yes—
1674C2—42no—
1675C2—44no—
1676C2—82no—
1677C2—82no—
1678C2C2×#345511yescharacteristic
1679C2C2×#349211yescharacteristic
1680C2#6285611yescharacteristic
1681C2#6292211yescharacteristic
1682C2#6292311yescharacteristic
1683C2#6295011yescharacteristic
1684C2#6295111yescharacteristic
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. #42507C2semidirect
2. #42505C2semidirect
3. #42504C2semidirect
4. #42502C2semidirect
5. #40574C2semidirect
6. #40571C2semidirect
7. #39634C2semidirect
8. #39633C2semidirect
9. #39602C2semidirect
10. #39379C2semidirect
11. #39377C2semidirect
12. #39347C2semidirect
13. #39193C2semidirect
14. #39191C2semidirect
15. #39142C2semidirect
16. #38978C2semidirect
17. #38976C2semidirect
18. #38927C2semidirect
19. #37509C2semidirect
20. #37508C2semidirect
21. #36835C2semidirect
22. #36830C2semidirect
23. #35608C2semidirect
24. #35591C2semidirect
25. #35294C2semidirect
26. #35231C2semidirect
27. #35230C2semidirect
28. #35205C2semidirect
29. #35195C2semidirect
30. #35189C2semidirect
31. #34976C2semidirect
32. #34910C2semidirect
33. #34243C2semidirect
34. C4⋊C4×#41C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#425072
#425052
#425042
#425022
#405742
#405712
#396342
#396332
#396022
#393792
#393772
#393472
#391932
#391912
#391422
#389782
#389762
#389272
#375092
#375082
#368352
#368302
#356082
#355912
#352942
#352312
#352302
#352052
#351952
#351892
#349762
#349102
#342432
C4⋊C4×#412
#340602