Finite Group Databasebeta

← #7743577

Subgroups — #7743577

Order 512.

5980 conjugacy classes of subgroups.

The subgroup lattice has 1713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50021C214yesmaximal, complemented
2#50013C214yesmaximal, complemented
3#48679C214yesmaximal, complemented
4#48667C214yesmaximal, complemented
5#48143C212yesmaximal, complemented
6#48082C214yesmaximal, complemented
7#48058C212yesmaximal, complemented
8#45727C212yesmaximal, complemented
9#45563C214yesmaximal, complemented
10#45537C212yesmaximal, complemented
11#39416C212yesmaximal, complemented
12#39066C212yesmaximal, complemented
13#38252C212yesmaximal, complemented
14#38202C212yesmaximal, complemented
15#38118C212yesmaximal, complemented
16#37694C212yesmaximal, complemented
17#37670C212yesmaximal, complemented
18#37662C212yesmaximal, complemented
19#37498C212yesmaximal, complemented
20#37425C211yesmaximal, characteristic, complemented
21#37356C212yesmaximal, complemented
22#37269C211yesmaximal, characteristic, complemented
23#35538C212yesmaximal, complemented
24#35527C211yesmaximal, characteristic, complemented
25#35512C211yesmaximal, characteristic, complemented
26#35226C212yesmaximal, complemented
27#34411C211yesmaximal, characteristic, complemented
28#34342C211yesmaximal, characteristic, complemented
29#34256C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#540C2212yescomplemented
32C2×#540C2212yescomplemented
33C2×#535C2211yescharacteristic
34C2×#535C2211yescharacteristic, complemented
35C22×#127C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic, complemented
39C2×#518C2211yescharacteristic, complemented
40C22×C4×D4C2211yescharacteristic, complemented
41#2861C2212yescomplemented
42#2860C2212yescomplemented
43#2851C2212yescomplemented
44#2849C2214yescomplemented
45#2847C2212yescomplemented
46#2847C2214yescomplemented
47#2826C2214yescomplemented
48#2825C2214yescomplemented
49#2809C2212yescomplemented
50#2809C2212yescomplemented
51#2782C2214yescomplemented
52#2780C2214yescomplemented
53#2780C2214yescomplemented
54#2779C2214yescomplemented
55#2778C2214yescomplemented
56#2778C2214yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2756C2214yescomplemented
63#2756C2214yescomplemented
64#2752C2214yescomplemented
65#2749C2214yescomplemented
66#2748C2212yescomplemented
67#2748C2212yescomplemented
68#2746C2214yescomplemented
69#2746C2214yescomplemented
70#2743C2214yescomplemented
71#2735C2214yescomplemented
72#2730C2214yescomplemented
73#2714C2214yescomplemented
74#2709C2214yescomplemented
75#2709C2214yescomplemented
76#2709C2212yescomplemented
77#2706C2214yescomplemented
78#2705C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2212yescomplemented
85#2697C2214yescomplemented
86#2695C2214yescomplemented
87#2693C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2679C2212yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2671C2214yescomplemented
98#2669C2212yescomplemented
99#2668C2214yescomplemented
100#2668C2214yescomplemented
101#2649C2214yescomplemented
102#2648C2214yescomplemented
103#2645C2212yescomplemented
104#2641C2212yescomplemented
105#2636C2214yescomplemented
106#2635C2214yescomplemented
107#2635C2214yescomplemented
108#2630C2214yescomplemented
109#2629C2212yescomplemented
110#2625C2212yescomplemented
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2620C2212yescomplemented
114#2619C2212yescomplemented
115#2602C2214yescomplemented
116#2602C2214yescomplemented
117#2598C2214yescomplemented
118#2576C2214yescomplemented
119#2559C2214yescomplemented
120#2554C2214yescomplemented
121#2543C2214yescomplemented
122#2539C2214yescomplemented
123#2534C2214yescomplemented
124#2534C2214yescomplemented
125#2516C2214yescomplemented
126#2515C2214yescomplemented
127#2514C2212yescomplemented
128#2512C2212yescomplemented
129#2510C2214yescomplemented
130#2510C2214yescomplemented
131#2498C2214yescomplemented
132#2493C2214yescomplemented
133#2490C2212yescomplemented
134#2489C2212yescomplemented
135#2485C2212yescomplemented
136#2480C2214yescomplemented
137#2479C2214yescomplemented
138#2467C2214yescomplemented
139#2464C2214yescomplemented
140#2457C2214yescomplemented
141#2457C2214yescomplemented
142#2457C2214yescomplemented
143#2456C2214yescomplemented
144#2455C2214yescomplemented
145#2454C2212yescomplemented
146#2454C2212yescomplemented
147#2447C2212yescomplemented
148#2445C2212yescomplemented
149#2445C2212yescomplemented
150#2445C2212yescomplemented
151#2444C2214yescomplemented
152#2442C2212yescomplemented
153#2442C2212yescomplemented
154#2441C2212yescomplemented
155#2441C2212yescomplemented
156#2433C2212yes—
157#2433C2212yes—
158#2433C2212yes—
159#2433C2212yescomplemented
160#2431C2212yes—
161#2431C2212yescomplemented
162#2431C2212yescomplemented
163#2431C2212yescomplemented
164#2428C2212yescomplemented
165#2428C2212yescomplemented
166#2428C2212yescomplemented
167#2427C2212yescomplemented
168#2425C2214yescomplemented
169#2425C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2424C2214yescomplemented
173#2422C2212yescomplemented
174#2420C2212yescomplemented
175#2420C2214yescomplemented
176#2418C2214yescomplemented
177#2418C2214yescomplemented
178#2418C2214yescomplemented
179#2418C2214yescomplemented
180#2416C2212yescomplemented
181#2414C2214yescomplemented
182#2414C2212yescomplemented
183#2412C2214yescomplemented
184#2411C2214yescomplemented
185#2411C2214yescomplemented
186#2410C2214yescomplemented
187#2410C2214yescomplemented
188#2410C2214yescomplemented
189#2408C2212yes—
190#2408C2214yes—
191#2408C2214yescomplemented
192#2408C2212yescomplemented
193#2408C2212yescomplemented
194#2407C2212yes—
195#2407C2214yescomplemented
196#2407C2212yescomplemented
197#2405C2212yes—
198#2405C2214yescomplemented
199#2405C2214yescomplemented
200#2405C2212yescomplemented
201#2403C2212yes—
202#2403C2214yes—
203#2403C2212yescomplemented
204#2403C2214yescomplemented
205#2380C2212yescomplemented
206#2378C2212yescomplemented
207#2378C2212yescomplemented
208#2377C2212yescomplemented
209#2377C2212yescomplemented
210#2376C2212yescomplemented
211#2376C2211yescharacteristic, complemented
212#2376C2211yescharacteristic, complemented
213#2375C2211yescharacteristic, complemented
214#2375C2212yescomplemented
215#2375C2211yescharacteristic, complemented
216#2375C2212yescomplemented
217#2366C2212yescomplemented
218#2363C2212yescomplemented
219#2361C2212yescomplemented
220#2358C2212yescomplemented
221#2347C2212yescomplemented
222#2339C2212yescomplemented
223#2339C2214yescomplemented
224#2339C2212yescomplemented
225D4×C22⋊C4C2214yes—
226D4×C22⋊C4C2212yescomplemented
227D4×C22⋊C4C2212yescomplemented
228D4×C22⋊C4C2212yescomplemented
229#2337C2214yescomplemented
230#2328C2212yescomplemented
231#2324C2212yescomplemented
232#2324C2212yescomplemented
233#2324C2212yescomplemented
234#2321C2214yescomplemented
235#2319C2212yescomplemented
236#2311C2211yescharacteristic
237#2311C2211yescharacteristic
238#2311C2211yescharacteristic, complemented
239#2311C2211yescharacteristic, complemented
240#2309C2211yescharacteristic, complemented
241#2309C2211yescharacteristic, complemented
242#2308C2212yescomplemented
243#2308C2212yescomplemented
244C4×#127C2212yescomplemented
245C4×#121C2212yescomplemented
246#2298C2212yescomplemented
247#2297C2211yescharacteristic
248#2297C2211yescharacteristic
249#2297C2211yescharacteristic, complemented
250#2297C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2212yescomplemented
254#2290C2212yescomplemented
255#2290C2212yescomplemented
256C2×#386C2212yescomplemented
257C2×#386C2212yescomplemented
258#2280C2212yescomplemented
259C2×H(5,𝔽2)—28no—
260C2×H(5,𝔽2)—44no—
261C2×H(5,𝔽2)—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2311yescharacteristic
274C23×D4C2314yes—
275C23×D4C2312yes—
276C24×C4C2311yescharacteristic
277C24×C4C2312yes—
278#540—48no—
279#540—48no—
280#535—28no—
281#535—44no—
282C2×#127—44no—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#125C2312yes—
292C2×#125C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295#525—28no—
296#525—44no—
297C2×#123C2311yescharacteristic
298C2×#123C2311yescharacteristic
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×#121—44no—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2312yes—
331C2×#120C2312yes—
332C2×#120C2311yescharacteristic
333C2×#120C2311yescharacteristic
334C2×#120C2312yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344#518—44no—
345C2×C4×D4—44no—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2314yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381#401C2314yes—
382#401C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390C2312yes—
487#390C2314yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#386C2311yescharacteristic
587#386C2311yescharacteristic
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2312yes—
592#386C2312yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2311yescharacteristic
631#386C2311yescharacteristic
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#384C2312yes—
664#383C2314yes—
665#383C2314yes—
666#382C2314yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2312yes—
674#381C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697#379C2312yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2312yes—
702#379C2314yes—
703#379C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2314yes—
724C43C2312yes—
725C25C2412yes—
726C25C2412yes—
727C25C2412yes—
728C25C2412yes—
729C25C2411yescharacteristic
730H(5,𝔽2)—464no—
731C2×#41—28no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—42no—
738C2×#41—42no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—42no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41#4118yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×D4—24no—
749C22×D4—24no—
750C22×D4—28no—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—24no—
754C22×D4—24no—
755C22×D4—24no—
756C22×D4—24no—
757C22×D4—24no—
758C22×D4—24no—
759C22×D4—42no—
760C22×D4—42no—
761C22×D4—42no—
762C22×D4—42no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—48no—
771C22×D4—84no—
772C22×D4—84no—
773C22×D4—84no—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2411yescharacteristic
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2411yescharacteristic
801C22×D4C2411yescharacteristic
802C22×D4C2411yescharacteristic
803C23×C4—24no—
804C23×C4—42no—
805C23×C4—42no—
806C23×C4—44no—
807C23×C4—84no—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2414yes—
815C23×C4C2411yescharacteristic
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828#127—28no—
829#127—28no—
830#127—28no—
831#127—44no—
832#127—44no—
833#127—44no—
834#126—84no—
835#126—84no—
836#125—44no—
837#125—44no—
838#124—28no—
839#124—44no—
840#123—24no—
841#123—24no—
842#123—44no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—48no—
847#123—84no—
848#123—84no—
849#123—84no—
850#123—84no—
851C22⋊Q8—28no—
852C22⋊Q8—44no—
853#121—28no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—48no—
867#121—48no—
868#121—84no—
869#121—84no—
870#121—84no—
871#121—84no—
872#120—24no—
873#120—24no—
874#120—28no—
875#120—28no—
876#120—44no—
877#120—48no—
878#120—84no—
879#120—84no—
880#120—84no—
881#120—84no—
882#120—84no—
883#120—84no—
884#120—84no—
885#120—84no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—48no—
895C4×D4—48no—
896C4×D4—48no—
897C4×D4—84no—
898C4×D4—84no—
899C4×D4—84no—
900C4×D4—84no—
901#117—24no—
902#117—24no—
903#117—42no—
904#117—42no—
905#117—44no—
906#117—44no—
907#117—42no—
908#117—42no—
909#117—84no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—84no—
953C2×C22⋊C4—84no—
954C2×C22⋊C4—84no—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—42no—
1030C2×C42—42no—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094C24—24no—
1095C24—24no—
1096C24—24no—
1097C24—24no—
1098C24—24no—
1099C24—24no—
1100C24—24no—
1101C24—22no—
1102C24—24no—
1103C24—41no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24—41no—
1108C24—42no—
1109C24—44no—
1110C24—44no—
1111C24—42no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—42no—
1119C24C2512yes—
1120C24C2512yes—
1121C24C2514yes—
1122C24C2511yescharacteristic
1123C24C2511yescharacteristic
1124C24C2511yescharacteristic
1125C24C2512yes—
1126C24C2512yes—
1127#41—416no—
1128#41—416no—
1129#41—416no—
1130#41—416no—
1131#41—432no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8C2×#4114yes—
1138C2×D4—232no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—416no—
1173C2×D4—416no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—432no—
1224C2×D4—432no—
1225C2×D4—432no—
1226C2×D4—88no—
1227C2×D4—832no—
1228C2×D4—816no—
1229C2×D4C2×#4114yes—
1230C2×D4C2×#4114yes—
1231C2×D4C2×#4114yes—
1232C2×D4H(5,𝔽2)14yes—
1233C2×D4H(5,𝔽2)14yes—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—88no—
1288C22×C4—816no—
1289C22×C4C2×#4114yes—
1290C22×C4C2×#4114yes—
1291C22×C4C2×#4114yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C22⋊C4—24no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
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⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
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—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—42no—
1430C42—41no—
1431C42—41no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—42no—
1440C23—216no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—22no—
1458C23—24no—
1459C23—24no—
1460C23—22no—
1461C23—22no—
1462C23—24no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—24no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—48no—
1481C23—48no—
1482C23—44no—
1483C23—82no—
1484C23—84no—
1485C23—88no—
1486C23—84no—
1487C23—88no—
1488C23—84no—
1489C23—84no—
1490C23—88no—
1491C23—84no—
1492C23—84no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—82no—
1497C23—84no—
1498C23—88no—
1499C23—162no—
1500C23—164no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23C22×#4112yes—
1505C23C22×#4112yes—
1506C23C22×#4112yes—
1507C23C2×H(5,𝔽2)14yes—
1508C23C2×H(5,𝔽2)14yes—
1509C23C2611yescharacteristic
1510Q8—44no—
1511Q8—44no—
1512D4—216no—
1513D4—28no—
1514D4—28no—
1515D4—44no—
1516D4—44no—
1517D4—44no—
1518D4—48no—
1519D4—48no—
1520D4—48no—
1521D4—48no—
1522D4—48no—
1523D4—44no—
1524D4—48no—
1525D4—84no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—84no—
1530D4—84no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—164no—
1540D4—164no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—84no—
1608C2×C4—88no—
1609C2×C4—82no—
1610C2×C4—88no—
1611C2×C4—82no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—164no—
1616C2×C4—164no—
1617C2×C4—164no—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—28no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—44no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—44no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—44no—
1652C22—44no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—44no—
1659C22—44no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—44no—
1666C22—42no—
1667C22—44no—
1668C22—816no—
1669C22—88no—
1670C22—168no—
1671C22—168no—
1672C22—168no—
1673C22C23×#4111yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22H(7,𝔽2)12yes—
1677C22H(7,𝔽2)12yes—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—44no—
1688C4—42no—
1689C4—44no—
1690C4—44no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—44no—
1698C4#349014yes—
1699C2—42no—
1700C2—44no—
1701C2—44no—
1702C2—42no—
1703C2—42no—
1704C2—82no—
1705C2—84no—
1706C2—82no—
1707C2C2×#349011yescharacteristic
1708C2#6285812yes—
1709C2#6304111yescharacteristic
1710C2#6304112yes—
1711C2#6304111yescharacteristic
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. #50021C2semidirect
2. #50013C2semidirect
3. #48679C2semidirect
4. #48667C2semidirect
5. #48143C2semidirect
6. #48082C2semidirect
7. #48058C2semidirect
8. #45727C2semidirect
9. #45563C2semidirect
10. #45537C2semidirect
11. #39416C2semidirect
12. #39066C2semidirect
13. #38252C2semidirect
14. #38202C2semidirect
15. #38118C2semidirect
16. #37694C2semidirect
17. #37670C2semidirect
18. #37662C2semidirect
19. #37498C2semidirect
20. #37425C2semidirect
21. #37356C2semidirect
22. #37269C2semidirect
23. #35538C2semidirect
24. #35527C2semidirect
25. #35512C2semidirect
26. #35226C2semidirect
27. #34411C2semidirect
28. #34342C2semidirect
29. #34256C2semidirect
31. C2×#540C22semidirect
32. C2×#540C22semidirect
34. C2×#535C22semidirect
35. C22×#127C22semidirect
37. C2×#525C22semidirect
38. C22×#121C22semidirect
39. C2×#518C22semidirect
40. C22×C4×D4C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2851C22semidirect
44. #2849C22semidirect
45. #2847C22semidirect
46. #2847C22semidirect
47. #2826C22semidirect
48. #2825C22semidirect
49. #2809C22semidirect
50. #2809C22semidirect
51. #2782C22semidirect
52. #2780C22semidirect
53. #2780C22semidirect
54. #2779C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2756C22semidirect
63. #2756C22semidirect
64. #2752C22semidirect
65. #2749C22semidirect
66. #2748C22semidirect
67. #2748C22semidirect
68. #2746C22semidirect
69. #2746C22semidirect
70. #2743C22semidirect
71. #2735C22semidirect
72. #2730C22semidirect
73. #2714C22semidirect
74. #2709C22semidirect
75. #2709C22semidirect
76. #2709C22semidirect
77. #2706C22semidirect
78. #2705C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2697C22semidirect
86. #2695C22semidirect
87. #2693C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2679C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2671C22semidirect
98. #2669C22semidirect
99. #2668C22semidirect
100. #2668C22semidirect
101. #2649C22semidirect
102. #2648C22semidirect
103. #2645C22semidirect
104. #2641C22semidirect
105. #2636C22semidirect
106. #2635C22semidirect
107. #2635C22semidirect
108. #2630C22semidirect
109. #2629C22semidirect
110. #2625C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2620C22semidirect
114. #2619C22semidirect
115. #2602C22semidirect
116. #2602C22semidirect
117. #2598C22semidirect
118. #2576C22semidirect
119. #2559C22semidirect
120. #2554C22semidirect
121. #2543C22semidirect
122. #2539C22semidirect
123. #2534C22semidirect
124. #2534C22semidirect
125. #2516C22semidirect
126. #2515C22semidirect
127. #2514C22semidirect
128. #2512C22semidirect
129. #2510C22semidirect
130. #2510C22semidirect
131. #2498C22semidirect
132. #2493C22semidirect
133. #2490C22semidirect
134. #2489C22semidirect
135. #2485C22semidirect
136. #2480C22semidirect
137. #2479C22semidirect
138. #2467C22semidirect
139. #2464C22semidirect
140. #2457C22semidirect
141. #2457C22semidirect
142. #2457C22semidirect
143. #2456C22semidirect
144. #2455C22semidirect
145. #2454C22semidirect
146. #2454C22semidirect
147. #2447C22semidirect
148. #2445C22semidirect
149. #2445C22semidirect
150. #2445C22semidirect
151. #2444C22semidirect
152. #2442C22semidirect
153. #2442C22semidirect
154. #2441C22semidirect
155. #2441C22semidirect
159. #2433C22semidirect
161. #2431C22semidirect
162. #2431C22semidirect
163. #2431C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2427C22semidirect
168. #2425C22semidirect
169. #2425C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2424C22semidirect
173. #2422C22semidirect
174. #2420C22semidirect
175. #2420C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
178. #2418C22semidirect
179. #2418C22semidirect
180. #2416C22semidirect
181. #2414C22semidirect
182. #2414C22semidirect
183. #2412C22semidirect
184. #2411C22semidirect
185. #2411C22semidirect
186. #2410C22semidirect
187. #2410C22semidirect
188. #2410C22semidirect
191. #2408C22semidirect
192. #2408C22semidirect
193. #2408C22semidirect
195. #2407C22semidirect
196. #2407C22semidirect
198. #2405C22semidirect
199. #2405C22semidirect
200. #2405C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2380C22semidirect
206. #2378C22semidirect
207. #2378C22semidirect
208. #2377C22semidirect
209. #2377C22semidirect
210. #2376C22semidirect
211. #2376C22semidirect
212. #2376C22semidirect
213. #2375C22semidirect
214. #2375C22semidirect
215. #2375C22semidirect
216. #2375C22semidirect
217. #2366C22semidirect
218. #2363C22semidirect
219. #2361C22semidirect
220. #2358C22semidirect
221. #2347C22semidirect
222. #2339C22semidirect
223. #2339C22semidirect
224. #2339C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. #2337C22semidirect
230. #2328C22semidirect
231. #2324C22semidirect
232. #2324C22semidirect
233. #2324C22semidirect
234. #2321C22semidirect
235. #2319C22semidirect
238. #2311C22semidirect
239. #2311C22semidirect
240. #2309C22semidirect
241. #2309C22semidirect
242. #2308C22semidirect
243. #2308C22semidirect
244. C4×#127C22semidirect
245. C4×#121C22semidirect
246. #2298C22semidirect
249. #2297C22semidirect
250. #2297C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2290C22semidirect
255. #2290C22semidirect
256. C2×#386C22semidirect
257. C2×#386C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#500212
#500132
#486792
#486672
#481432
#480822
#480582
#457272
#455632
#455372
#394162
#390662
#382522
#382022
#381182
#376942
#376702
#376622
#374982
#374252
#373562
#372692
#355382
#355272
#355122
#352262
#344112
#343422
#342562