Finite Group Databasebeta

← #8197110

Subgroups — #8197110

Order 512.

4990 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59442C212yesmaximal, complemented
2#59352C212yesmaximal, complemented
3#59232C212yesmaximal, complemented
4#59137C212yesmaximal, complemented
5#58860C212yesmaximal, complemented
6#58300C212yesmaximal, complemented
7#56014C214yesmaximal, complemented
8#53015C211yesmaximal, characteristic, complemented
9#52967C211yesmaximal, characteristic, complemented
10#52693C212yesmaximal, complemented
11#51519C214yesmaximal, complemented
12#47801C212yesmaximal, complemented
13#46969C212yesmaximal, complemented
14#46338C212yesmaximal, complemented
15#45460C212yesmaximal, complemented
16#45330C211yesmaximal, characteristic, complemented
17#45251C211yesmaximal, characteristic, complemented
18#43400C212yesmaximal, complemented
19#42923C212yesmaximal, complemented
20#42462C212yesmaximal, complemented
21#41027C214yesmaximal, complemented
22#40131C212yesmaximal, complemented
23#39902C212yesmaximal, complemented
24#39462C212yesmaximal, complemented
25#39398C212yesmaximal, complemented
26#37803C214yesmaximal, complemented
27#36503C212yesmaximal, complemented
28#36440C212yesmaximal, complemented
29#35200C211yesmaximal, characteristic, complemented
30#34977C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic, complemented
32C2×#553C2212yes—
33C2×#542C2214yescomplemented
34C2×#533C2211yescharacteristic, complemented
35C2×#532C2211yescharacteristic, complemented
36C2×#525C2212yes—
37C2×C4×#41C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2860C2212yes—
40#2860C2212yes—
41#2851C2212yes—
42#2851C2212yescomplemented
43#2849C2214yes—
44#2840C2212yes—
45#2832C2212yes—
46#2832C2214yescomplemented
47#2828C2214yes—
48#2828C2214yes—
49#2825C2214yescomplemented
50#2819C2214yes—
51#2819C2212yes—
52#2812C2212yes—
53#2808C2214yescomplemented
54#2803C2214yescomplemented
55#2795C2214yes—
56#2795C2214yescomplemented
57#2789C2212yescomplemented
58#2785C2212yes—
59#2775C2214yescomplemented
60#2767C2214yescomplemented
61#2764C2212yes—
62#2760C2212yes—
63#2757C2214yescomplemented
64#2753C2214yescomplemented
65#2751C2214yes—
66#2751C2214yescomplemented
67#2751C2214yescomplemented
68#2745C2214yescomplemented
69#2742C2214yes—
70#2737C2214yescomplemented
71#2737C2214yescomplemented
72#2736C2212yes—
73#2733C2212yes—
74#2730C2214yescomplemented
75#2729C2214yescomplemented
76#2728C2212yescomplemented
77#2723C2214yescomplemented
78#2716C2214yescomplemented
79#2714C2214yes—
80#2714C2214yes—
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2702C2214yescomplemented
85#2701C2214yescomplemented
86#2700C2214yescomplemented
87#2699C2214yescomplemented
88#2696C2214yescomplemented
89#2691C2214yes—
90#2688C2214yescomplemented
91#2687C2214yescomplemented
92#2685C2214yes—
93#2685C2214yes—
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2673C2214yescomplemented
97#2670C2214yes—
98#2670C2212yes—
99#2670C2214yes—
100#2669C2214yes—
101#2662C2214yescomplemented
102#2662C2214yescomplemented
103#2661C2214yescomplemented
104#2650C2214yescomplemented
105#2648C2214yescomplemented
106#2638C2212yes—
107#2638C2212yescomplemented
108#2637C2214yescomplemented
109#2635C2214yescomplemented
110#2615C2212yes—
111#2615C2212yes—
112#2610C2211yescharacteristic
113#2610C2211yescharacteristic
114#2610C2214yescomplemented
115#2610C2211yescharacteristic, complemented
116#2610C2211yescharacteristic, complemented
117#2609C2212yescomplemented
118#2607C2212yes—
119#2602C2214yes—
120#2601C2214yescomplemented
121#2600C2212yes—
122#2600C2214yes—
123#2599C2212yes—
124#2599C2212yescomplemented
125#2594C2214yescomplemented
126#2586C2212yescomplemented
127#2574C2214yescomplemented
128#2572C2214yescomplemented
129#2570C2214yescomplemented
130#2567C2211yescharacteristic, complemented
131#2567C2211yescharacteristic, complemented
132#2566C2212yes—
133#2563C2212yes—
134#2563C2211yescharacteristic
135#2563C2211yescharacteristic
136#2563C2212yescomplemented
137#2562C2212yes—
138#2562C2212yescomplemented
139#2562C2212yescomplemented
140#2557C2214yescomplemented
141#2550C2212yescomplemented
142#2548C2211yescharacteristic, complemented
143#2547C2211yescharacteristic
144#2546C2211yescharacteristic, complemented
145#2541C2211yescharacteristic
146#2538C2212yes—
147#2537C2212yes—
148#2536C2212yes—
149#2535C2212yes—
150#2535C2212yes—
151#2534C2212yes—
152#2534C2212yes—
153#2529C2214yescomplemented
154#2527C2214yescomplemented
155#2521C2214yescomplemented
156#2518C2214yescomplemented
157#2513C2214yescomplemented
158#2512C2214yescomplemented
159#2500C2212yescomplemented
160#2499C2212yescomplemented
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2496C2212yescomplemented
164#2494C2212yescomplemented
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2487C2212yes—
172#2486C2211yescharacteristic
173#2486C2211yescharacteristic
174#2486C2212yescomplemented
175#2485C2212yes—
176#2485C2212yes—
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2480C2214yes—
180#2479C2214yes—
181#2477C2214yes—
182#2474C2214yescomplemented
183#2474C2214yescomplemented
184#2471C2214yes—
185#2469C2214yescomplemented
186#2469C2214yescomplemented
187#2468C2214yescomplemented
188#2467C2214yescomplemented
189#2466C2214yes—
190#2466C2214yescomplemented
191#2464C2214yescomplemented
192#2463C2214yescomplemented
193#2461C2214yes—
194#2461C2214yescomplemented
195#2459C2214yescomplemented
196#2459C2214yescomplemented
197#2458C2214yes—
198#2458C2214yescomplemented
199#2458C2214yescomplemented
200#2456C2214yes—
201#2456C2214yescomplemented
202#2445C2214yes—
203#2441C2212yescomplemented
204#2440C2212yescomplemented
205#2440C2212yescomplemented
206#2439C2212yescomplemented
207#2432C2212yes—
208#2431C2212yes—
209#2426C2214yescomplemented
210#2424C2214yes—
211#2422C2212yes—
212#2420C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yescomplemented
221#2408C2211yescharacteristic
222#2408C2212yes—
223#2408C2212yes—
224#2408C2211yescharacteristic
225#2392C2212yes—
226#2392C2212yes—
227#2388C2211yescharacteristic
228#2388C2211yescharacteristic
229#2388C2211yescharacteristic, complemented
230#2388C2211yescharacteristic, complemented
231#2375C2214yes—
232#2373C2214yescomplemented
233#2370C2212yescomplemented
234#2367C2214yescomplemented
235#2367C2214yescomplemented
236#2363C2212yes—
237#2363C2214yescomplemented
238#2361C2212yes—
239#2357C2214yes—
240#2357C2212yes—
241#2354C2212yescomplemented
242#2352C2212yes—
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245D4×C4⋊C4C2212yes—
246#2347C2212yescomplemented
247#2344C2212yescomplemented
248#2334C2214yescomplemented
249#2332C2214yescomplemented
250#2327C2212yescomplemented
251#2326C2212yes—
252#2311C2212yescomplemented
253#2311C2212yescomplemented
254C4×C4⋊Q8C2212yescomplemented
255C4×#127C2212yes—
256C4×#125C2212yescomplemented
257C4×#124C2212yescomplemented
258C4×#121C2212yes—
259C4×#121C2212yes—
260C4×#121C2212yes—
261C4×#121C2212yescomplemented
262C4×#120C2214yes—
263#2285C2211yescharacteristic
264#2283C2211yescharacteristic, complemented
265#2280C2212yes—
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C24×C4C2312yes—
272#553—48no—
273#542—416no—
274#533—44no—
275#532—44no—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2312yes—
289C2×#125C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#124C2314yes—
298#525—48no—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#120C2314yes—
324C2×#120C2312yes—
325C2×#120C2312yes—
326C2×#120C2314yes—
327C4×#41—44no—
328C2×C4×Q8C2314yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×D4—44no—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2314yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C22⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#399C2314yes—
380#399C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2312yes—
385#398C2314yes—
386#398C2312yes—
387#398C2312yes—
388#398C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2312yes—
398#397C2314yes—
399#397C2312yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#395C2311yescharacteristic
416#395C2311yescharacteristic
417#395C2311yescharacteristic
418#395C2312yes—
419#395C2312yes—
420#395C2311yescharacteristic
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2311yescharacteristic
428#394C2312yes—
429#394C2312yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2311yescharacteristic
448#394C2311yescharacteristic
449#394C2311yescharacteristic
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2311yescharacteristic
462#393C2311yescharacteristic
463#393C2312yes—
464#393C2314yes—
465#393C2311yescharacteristic
466#393C2311yescharacteristic
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2312yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2311yescharacteristic
482#392C2314yes—
483#392C2314yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2311yescharacteristic
489#392C2311yescharacteristic
490#392C2311yescharacteristic
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
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#385C2314yes—
659#384C2312yes—
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#383C2312yes—
664#383C2314yes—
665#382C2312yes—
666#382C2314yes—
667#382C2312yes—
668#382C2312yes—
669#382C2314yes—
670#382C2312yes—
671#382C2312yes—
672#381C2314yes—
673#381C2314yes—
674#381C2314yes—
675#381C2312yes—
676#381C2312yes—
677#381C2314yes—
678#381C2312yes—
679#380C2311yescharacteristic
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2314yes—
700#380C2312yes—
701#379C2314yes—
702#379C2312yes—
703#379C2312yes—
704#379C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737#376C2312yes—
738#376C2311yescharacteristic
739#376C2311yescharacteristic
740C43C2312yes—
741C25C2412yes—
742C2×#41—24no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41—42no—
746C2×#41—44no—
747C2×#41—44no—
748C2×#41—42no—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2414yes—
752C22×Q8C2411yescharacteristic
753C22×Q8C2411yescharacteristic
754C22×Q8C2411yescharacteristic
755C22×D4—42no—
756C22×D4—44no—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2411yescharacteristic
778C23×C4—44no—
779C23×C4—44no—
780C23×C4—44no—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2414yes—
797C4⋊Q8—28no—
798C4⋊Q8—44no—
799C4⋊Q8—42no—
800C4⋊Q8—42no—
801C4⋊Q8—42no—
802#127—42no—
803#127—44no—
804#126—48no—
805#126—48no—
806#126—48no—
807#126—48no—
808#126—48no—
809#125—28no—
810#125—44no—
811#124—28no—
812#124—48no—
813#124—48no—
814#124—42no—
815#124—42no—
816#124—48no—
817#124—44no—
818#124—48no—
819#123—48no—
820#123—48no—
821#123—44no—
822#123—44no—
823#123—48no—
824C22⋊Q8—216no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829#121—44no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—48no—
834#121—48no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—48no—
840#121—44no—
841#121—44no—
842#121—44no—
843#120—48no—
844#120—44no—
845#120—44no—
846#120—48no—
847C4×Q8—42no—
848C4×Q8—42no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—48no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—42no—
862C4×D4—42no—
863C4×D4—42no—
864C4×D4—42no—
865C4×D4—42no—
866C4×D4—42no—
867C4×D4—44no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873#117—42no—
874#117—42no—
875#117—42no—
876#117—44no—
877#117—48no—
878#117—44no—
879#117—44no—
880#117—44no—
881#117—44no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C22⋊C4—44no—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028#95C2412yes—
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080C24—24no—
1081C24—42no—
1082C24—44no—
1083C24—42no—
1084C24—44no—
1085C24C2514yes—
1086C24C2512yes—
1087C24C2512yes—
1088C24C2511yescharacteristic
1089C24C2511yescharacteristic
1090C24C2511yescharacteristic
1091#41—416no—
1092#41—88no—
1093#41—88no—
1094C2×Q8—24no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—44no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—42no—
1103C2×Q8—44no—
1104C2×Q8—44no—
1105C2×Q8—44no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8H(5,𝔽2)14yes—
1109C2×D4—24no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—416no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—816no—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2514yes—
1224C22×C4C2514yes—
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—28no—
1366C42—42no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42H(5,𝔽2)14yes—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—24no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—24no—
1396C23—21no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—48no—
1413C23—84no—
1414C23—88no—
1415C23—84no—
1416C23—88no—
1417C23#58512yes—
1418C23C2611yescharacteristic
1419Q8—44no—
1420Q8—84no—
1421Q8—84no—
1422Q8—88no—
1423Q8—82no—
1424Q8—82no—
1425D4—48no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—48no—
1430D4—48no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—88no—
1436D4—88no—
1437D4—88no—
1438D4—88no—
1439D4—84no—
1440D4—82no—
1441D4—82no—
1442D4—84no—
1443D4—84no—
1444D4—164no—
1445D4—164no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—44no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—84no—
1519C2×C4—88no—
1520C2×C4—164no—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×H(5,𝔽2)12yes—
1527C2×C4#58514yes—
1528C2×C4#58514yes—
1529C22—24no—
1530C22—22no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—44no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—44no—
1549C22—44no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—41no—
1561C22—41no—
1562C22—44no—
1563C22—42no—
1564C22—42no—
1565C22—816no—
1566C22C22×H(5,𝔽2)11yescharacteristic
1567C22C22×H(5,𝔽2)11yescharacteristic
1568C22C2×#58512yes—
1569C22C2×#58512yes—
1570C22C2×#58511yescharacteristic
1571C4—22no—
1572C4—24no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—44no—
1586C4—42no—
1587C4—44no—
1588C4—44no—
1589C4—44no—
1590C4—42no—
1591C4—42no—
1592C4—44no—
1593C4—44no—
1594C4—44no—
1595C4#354014yes—
1596C2—42no—
1597C2—81no—
1598C2—82no—
1599C2—82no—
1600C2—81no—
1601C2—84no—
1602C2C2×#354011yescharacteristic
1603C2#6275911yescharacteristic
1604C2#6281811yescharacteristic
1605C2#6302212yes—
1606C2#6302712yes—
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. #59442C2semidirect
2. #59352C2semidirect
3. #59232C2semidirect
4. #59137C2semidirect
5. #58860C2semidirect
6. #58300C2semidirect
7. #56014C2semidirect
8. #53015C2semidirect
9. #52967C2semidirect
10. #52693C2semidirect
11. #51519C2semidirect
12. #47801C2semidirect
13. #46969C2semidirect
14. #46338C2semidirect
15. #45460C2semidirect
16. #45330C2semidirect
17. #45251C2semidirect
18. #43400C2semidirect
19. #42923C2semidirect
20. #42462C2semidirect
21. #41027C2semidirect
22. #40131C2semidirect
23. #39902C2semidirect
24. #39462C2semidirect
25. #39398C2semidirect
26. #37803C2semidirect
27. #36503C2semidirect
28. #36440C2semidirect
29. #35200C2semidirect
30. #34977C2semidirect
31. #34935C2semidirect
33. C2×#542C22semidirect
34. C2×#533C22semidirect
35. C2×#532C22semidirect
42. #2851C22semidirect
46. #2832C22semidirect
49. #2825C22semidirect
53. #2808C22semidirect
54. #2803C22semidirect
56. #2795C22semidirect
57. #2789C22semidirect
59. #2775C22semidirect
60. #2767C22semidirect
63. #2757C22semidirect
64. #2753C22semidirect
66. #2751C22semidirect
67. #2751C22semidirect
68. #2745C22semidirect
70. #2737C22semidirect
71. #2737C22semidirect
74. #2730C22semidirect
75. #2729C22semidirect
76. #2728C22semidirect
77. #2723C22semidirect
78. #2716C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2702C22semidirect
85. #2701C22semidirect
86. #2700C22semidirect
87. #2699C22semidirect
88. #2696C22semidirect
90. #2688C22semidirect
91. #2687C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
96. #2673C22semidirect
101. #2662C22semidirect
102. #2662C22semidirect
103. #2661C22semidirect
104. #2650C22semidirect
105. #2648C22semidirect
107. #2638C22semidirect
108. #2637C22semidirect
109. #2635C22semidirect
114. #2610C22semidirect
115. #2610C22semidirect
116. #2610C22semidirect
117. #2609C22semidirect
120. #2601C22semidirect
124. #2599C22semidirect
125. #2594C22semidirect
126. #2586C22semidirect
127. #2574C22semidirect
128. #2572C22semidirect
129. #2570C22semidirect
130. #2567C22semidirect
131. #2567C22semidirect
136. #2563C22semidirect
138. #2562C22semidirect
139. #2562C22semidirect
140. #2557C22semidirect
141. #2550C22semidirect
142. #2548C22semidirect
144. #2546C22semidirect
153. #2529C22semidirect
154. #2527C22semidirect
155. #2521C22semidirect
156. #2518C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2500C22semidirect
160. #2499C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2496C22semidirect
164. #2494C22semidirect
174. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
182. #2474C22semidirect
183. #2474C22semidirect
185. #2469C22semidirect
186. #2469C22semidirect
187. #2468C22semidirect
188. #2467C22semidirect
190. #2466C22semidirect
191. #2464C22semidirect
192. #2463C22semidirect
194. #2461C22semidirect
195. #2459C22semidirect
196. #2459C22semidirect
198. #2458C22semidirect
199. #2458C22semidirect
201. #2456C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
209. #2426C22semidirect
220. #2414C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
232. #2373C22semidirect
233. #2370C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
237. #2363C22semidirect
241. #2354C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
246. #2347C22semidirect
247. #2344C22semidirect
248. #2334C22semidirect
249. #2332C22semidirect
250. #2327C22semidirect
252. #2311C22semidirect
253. #2311C22semidirect
254. C4×C4⋊Q8C22semidirect
256. C4×#125C22semidirect
257. C4×#124C22semidirect
261. C4×#121C22semidirect
264. #2283C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#594422
#593522
#592322
#591372
#588602
#583002
#560142
#530152
#529672
#526932
#515192
#478012
#469692
#463382
#454602
#453302
#452512
#434002
#429232
#424622
#410272
#401312
#399022
#394622
#393982
#378032
#365032
#364402
#352002
#349772
#349352