Finite Group Databasebeta

← #7732021

Subgroups — #7732021

Order 512.

5610 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49606C214yesmaximal, complemented
2#49603C214yesmaximal, complemented
3#47564C214yesmaximal, complemented
4#46392C214yesmaximal, complemented
5#43931C214yesmaximal, complemented
6#43049C214yesmaximal, complemented
7#39418C212yesmaximal, complemented
8#39417C212yesmaximal, complemented
9#38204C212yesmaximal, complemented
10#38201C212yesmaximal, complemented
11#37957C212yesmaximal, complemented
12#37933C212yesmaximal, complemented
13#37881C212yesmaximal, complemented
14#37873C212yesmaximal, complemented
15#37664C212yesmaximal, complemented
16#37663C212yesmaximal, complemented
17#37477C211yesmaximal, characteristic, complemented
18#37402C212yesmaximal, complemented
19#37351C212yesmaximal, complemented
20#36293C212yesmaximal, complemented
21#36279C212yesmaximal, complemented
22#35625C212yesmaximal, complemented
23#35606C212yesmaximal, complemented
24#35305C211yesmaximal, characteristic, complemented
25#35010C211yesmaximal, characteristic, complemented
26C2×#2407C211yesmaximal, characteristic
27#34380C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34058C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#541C2212yescomplemented
33C2×#536C2211yescharacteristic, complemented
34C2×#536C2211yescharacteristic, complemented
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C2×#520C2211yescharacteristic, complemented
39C2×#520C2211yescharacteristic, complemented
40C22×C4×D4C2211yescharacteristic
41#2863C2212yescomplemented
42#2862C2212yescomplemented
43#2861C2212yescomplemented
44#2860C2212yescomplemented
45#2855C2212yes—
46#2848C2212yes—
47#2848C2212yes—
48#2848C2212yes—
49#2841C2214yescomplemented
50#2797C2214yescomplemented
51#2788C2214yescomplemented
52#2786C2214yescomplemented
53#2781C2214yescomplemented
54#2781C2214yescomplemented
55#2781C2214yescomplemented
56#2779C2214yescomplemented
57#2770C2214yescomplemented
58#2768C2214yescomplemented
59#2768C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2752C2214yescomplemented
63#2751C2214yescomplemented
64#2750C2214yescomplemented
65#2749C2214yescomplemented
66#2742C2214yescomplemented
67#2741C2214yescomplemented
68#2741C2214yescomplemented
69#2740C2214yescomplemented
70#2738C2214yescomplemented
71#2730C2214yescomplemented
72#2715C2214yescomplemented
73#2707C2214yescomplemented
74#2706C2214yescomplemented
75#2705C2214yescomplemented
76#2704C2214yescomplemented
77#2704C2214yescomplemented
78#2702C2214yescomplemented
79#2702C2214yescomplemented
80#2701C2214yescomplemented
81#2700C2214yescomplemented
82#2698C2214yescomplemented
83#2698C2214yescomplemented
84#2691C2214yescomplemented
85#2690C2214yescomplemented
86#2689C2214yescomplemented
87#2687C2214yescomplemented
88#2686C2214yescomplemented
89#2672C2214yescomplemented
90#2659C2212yes—
91#2659C2212yescomplemented
92#2646C2212yes—
93#2646C2212yescomplemented
94#2629C2212yescomplemented
95#2628C2212yescomplemented
96#2627C2212yes—
97#2626C2212yes—
98#2625C2212yescomplemented
99#2624C2212yescomplemented
100#2621C2212yescomplemented
101#2620C2212yescomplemented
102#2616C2212yescomplemented
103#2616C2212yescomplemented
104#2612C2214yescomplemented
105#2611C2214yescomplemented
106#2610C2214yescomplemented
107#2609C2214yescomplemented
108#2605C2214yescomplemented
109#2603C2214yescomplemented
110#2602C2214yescomplemented
111#2601C2214yescomplemented
112#2597C2214yescomplemented
113#2586C2214yescomplemented
114#2583C2214yescomplemented
115#2579C2214yescomplemented
116#2564C2214yescomplemented
117#2562C2214yescomplemented
118#2560C2214yescomplemented
119#2558C2214yescomplemented
120#2557C2214yescomplemented
121#2556C2214yescomplemented
122#2554C2214yescomplemented
123#2553C2214yescomplemented
124#2549C2214yescomplemented
125#2531C2214yescomplemented
126#2530C2214yescomplemented
127#2526C2214yescomplemented
128#2521C2214yescomplemented
129#2520C2214yescomplemented
130#2513C2212yescomplemented
131#2511C2212yescomplemented
132#2505C2214yes—
133#2505C2214yescomplemented
134#2498C2214yescomplemented
135#2491C2212yescomplemented
136#2489C2212yescomplemented
137#2488C2214yescomplemented
138#2487C2212yescomplemented
139#2482C2214yes—
140#2481C2214yescomplemented
141#2480C2214yes—
142#2480C2214yes—
143#2480C2214yes—
144#2480C2214yes—
145#2479C2214yescomplemented
146#2479C2214yescomplemented
147#2478C2214yescomplemented
148#2474C2214yescomplemented
149#2473C2214yes—
150#2473C2214yescomplemented
151#2471C2214yescomplemented
152#2468C2214yescomplemented
153#2467C2214yescomplemented
154#2461C2214yescomplemented
155#2460C2214yescomplemented
156#2454C2212yescomplemented
157#2451C2212yescomplemented
158#2448C2212yescomplemented
159#2447C2212yescomplemented
160#2446C2212yescomplemented
161#2446C2212yescomplemented
162#2442C2214yes—
163#2442C2212yes—
164#2442C2212yescomplemented
165#2440C2212yes—
166#2440C2212yescomplemented
167#2438C2214yes—
168#2437C2214yes—
169#2437C2214yes—
170#2435C2214yes—
171#2435C2212yes—
172#2434C2212yes—
173#2432C2212yescomplemented
174#2432C2212yescomplemented
175#2429C2212yescomplemented
176#2429C2212yescomplemented
177#2427C2212yescomplemented
178#2426C2212yescomplemented
179#2422C2212yescomplemented
180#2421C2212yescomplemented
181#2417C2212yescomplemented
182#2417C2212yescomplemented
183#2415C2214yescomplemented
184#2413C2214yescomplemented
185#2409C2212yescomplemented
186#2407C2212yes—
187#2407C2212yes—
188#2407C2214yes—
189#2407C2212yes—
190#2407C2212yes—
191#2407C2214yes—
192#2406C2214yescomplemented
193#2405C2214yes—
194#2405C2214yes—
195C2×#394C2212yes—
196C2×#392C2212yes—
197#2378C2214yescomplemented
198#2368C2214yes—
199#2360C2212yes—
200#2360C2212yes—
201#2344C2212yescomplemented
202#2343C2214yes—
203#2342C2214yes—
204#2342C2214yes—
205#2342C2214yes—
206#2341C2212yescomplemented
207Q8×C22⋊C4C2212yes—
208Q8×C22⋊C4C2212yescomplemented
209#2339C2212yescomplemented
210#2339C2214yescomplemented
211D4×C22⋊C4C2212yes—
212D4×C22⋊C4C2214yes—
213#2329C2212yes—
214#2329C2212yes—
215#2324C2212yescomplemented
216#2323C2212yescomplemented
217#2323C2212yescomplemented
218#2323C2212yescomplemented
219#2319C2212yescomplemented
220#2319C2212yescomplemented
221#2319C2212yescomplemented
222#2319C2212yescomplemented
223#2316C2211yescharacteristic
224#2316C2211yescharacteristic
225#2316C2212yescomplemented
226#2315C2212yes—
227#2313C2212yescomplemented
228#2312C2212yes—
229#2312C2211yescharacteristic
230#2312C2211yescharacteristic
231#2311C2211yescharacteristic, complemented
232#2311C2212yescomplemented
233#2311C2211yescharacteristic, complemented
234#2311C2211yescharacteristic, complemented
235#2311C2212yescomplemented
236#2311C2211yescharacteristic, complemented
237#2309C2212yes—
238#2308C2212yes—
239C4×C4⋊Q8C2212yescomplemented
240C4×#124C2212yescomplemented
241#2295C2212yescomplemented
242C2×#391C2211yescharacteristic
243#2293C2212yescomplemented
244#2293C2212yescomplemented
245#2293C2212yescomplemented
246#2293C2212yescomplemented
247#2293C2212yescomplemented
248C2×#390C2211yescharacteristic
249C2×#386C2212yes—
250C2×#385C2212yes—
251#2280C2212yes—
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2280C2212yes—
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257C2×#380C2212yes—
258C4×#117C2212yes—
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2312yes—
268C23×Q8C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277#542—48no—
278#541—48no—
279#536—44no—
280#536—44no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2314yes—
289C2×#125C2312yes—
290C2×#125C2314yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8—28no—
300C2×C22⋊Q8—44no—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×#121—44no—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321#520—44no—
322#520—44no—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×D4—28no—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2314yes—
347C2×#117C2314yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2314yes—
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#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
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#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#391C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#390C2314yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#388C2312yes—
520#388C2314yes—
521#388C2314yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#384C2312yes—
630#383C2314yes—
631#382C2314yes—
632#382C2314yes—
633#382C2314yes—
634#382C2312yes—
635#381C2314yes—
636#381C2314yes—
637#381C2312yes—
638#381C2312yes—
639#381C2312yes—
640#381C2312yes—
641#381C2314yes—
642#381C2314yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2311yescharacteristic
649#380C2311yescharacteristic
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2311yescharacteristic
660#380C2311yescharacteristic
661#380C2311yescharacteristic
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2311yescharacteristic
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#379C2314yes—
683#379C2312yes—
684#379C2312yes—
685#379C2312yes—
686#379C2312yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715#376C2312yes—
716#376C2312yes—
717#376C2314yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2314yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C43C2312yes—
724C43C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2411yescharacteristic
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—28no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—42no—
741C2×#41—44no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41—44no—
746C2×#41—464no—
747C22×Q8—24no—
748C22×Q8—24no—
749C22×Q8—24no—
750C22×Q8—42no—
751C22×Q8—42no—
752C22×Q8—42no—
753C22×Q8C2412yes—
754C22×Q8C2411yescharacteristic
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2414yes—
759C22×D4—24no—
760C22×D4—28no—
761C22×D4—24no—
762C22×D4—24no—
763C22×D4—24no—
764C22×D4—42no—
765C22×D4—44no—
766C22×D4—42no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—82no—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C23×C4—28no—
783C23×C4—24no—
784C23×C4—42no—
785C23×C4—42no—
786C23×C4—44no—
787C23×C4—42no—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4#4118yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C4⋊Q8—28no—
816C4⋊Q8—44no—
817C4⋊Q8—44no—
818#126—48no—
819#126—48no—
820#126—48no—
821#126—84no—
822#125—44no—
823#125—48no—
824#125—48no—
825#124—28no—
826#124—44no—
827#124—48no—
828#124—84no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—84no—
833C22⋊Q8—28no—
834C22⋊Q8—28no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—48no—
839C22⋊Q8—44no—
840C22⋊Q8—44no—
841C22⋊Q8—48no—
842C22⋊Q8—48no—
843C22⋊Q8—44no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—84no—
849#121—28no—
850#121—48no—
851#121—44no—
852C4×Q8—28no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—44no—
862C4×D4—48no—
863C4×D4—48no—
864#117—28no—
865#117—42no—
866#117—42no—
867#117—44no—
868#117—42no—
869#117—42no—
870#117—44no—
871#117—44no—
872#117—44no—
873#117—44no—
874#117—84no—
875#117—84no—
876C2×C4⋊C4—24no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4—42no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
942C2×C22⋊C4—28no—
943C2×C22⋊C4—24no—
944C2×C22⋊C4—28no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—48no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—82no—
950C2×C22⋊C4—82no—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C42—24no—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
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—
1080#95C2414yes—
1081#95C2414yes—
1082C24—22no—
1083C24—22no—
1084C24—24no—
1085C24—22no—
1086C24—24no—
1087C24—24no—
1088C24—24no—
1089C24—22no—
1090C24—22no—
1091C24—41no—
1092C24—41no—
1093C24—42no—
1094C24—41no—
1095C24—42no—
1096C24—41no—
1097C24—41no—
1098C24—41no—
1099C24—41no—
1100C24—42no—
1101C24—41no—
1102C24C2×#4114yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2511yescharacteristic
1106C24C2511yescharacteristic
1107C24C2512yes—
1108C24C2511yescharacteristic
1109#41—232no—
1110#41—416no—
1111#41—416no—
1112#41—432no—
1113#41—416no—
1114#41—432no—
1115C2×Q8—22no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—22no—
1119C2×Q8—24no—
1120C2×Q8—22no—
1121C2×Q8—24no—
1122C2×Q8—24no—
1123C2×Q8—24no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—416no—
1133C2×Q8—88no—
1134C2×Q8H(5,𝔽2)14yes—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—28no—
1145C2×D4—22no—
1146C2×D4—24no—
1147C2×D4—22no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—416no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—416no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—432no—
1170C2×D4—816no—
1171C2×D4H(5,𝔽2)14yes—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—416no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—432no—
1239C22×C4—88no—
1240C22×C4C2×#4114yes—
1241C22×C4C2×#4114yes—
1242C22×C4C2×#4114yes—
1243C22×C4C2×#4114yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2×#4114yes—
1246C22×C42−1+414yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—24no—
1387C42—28no—
1388C42—24no—
1389C42—24no—
1390C42—42no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—42no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—22no—
1423C23—28no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—44no—
1439C23—44no—
1440C23—48no—
1441C23—48no—
1442C23—48no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—48no—
1447C23—82no—
1448C23—84no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—84no—
1454C23—82no—
1455C23—82no—
1456C23—82no—
1457C23—84no—
1458C23C22×#4112yes—
1459C23C22×#4112yes—
1460C23C22×#4112yes—
1461C23C2×H(5,𝔽2)14yes—
1462C23C2×2−1+412yes—
1463C23#58512yes—
1464C23C2611yescharacteristic
1465Q8—28no—
1466Q8—48no—
1467Q8—44no—
1468Q8—48no—
1469Q8—84no—
1470Q8—164no—
1471D4—216no—
1472D4—28no—
1473D4—48no—
1474D4—48no—
1475D4—48no—
1476D4—48no—
1477D4—48no—
1478D4—48no—
1479D4—44no—
1480D4—88no—
1481D4—88no—
1482C2×C4—216no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—28no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—24no—
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—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—84no—
1558C2×C4—82no—
1559C2×C4—84no—
1560C2×C4—88no—
1561C2×C4—82no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—162no—
1565C2×C4—164no—
1566C2×C4—162no—
1567C2×C4C22×#4112yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C2×H(5,𝔽2)14yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×2−1+414yes—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—24no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—24no—
1589C22—24no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—88no—
1617C22—816no—
1618C22—88no—
1619C22#349514yes—
1620C22C23×#4111yescharacteristic
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×2−1+411yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C222−1+611yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—24no—
1631C4—24no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—44no—
1649C4#349014yes—
1650C2—24no—
1651C2—42no—
1652C2—42no—
1653C2—44no—
1654C2—82no—
1655C2—82no—
1656C2C2×#349011yescharacteristic
1657C2C2×#349511yescharacteristic
1658C2#6285611yescharacteristic
1659C2#6291511yescharacteristic
1660C2#6291711yescharacteristic
1661C2#6291811yescharacteristic
1662C2#6291911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2407C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #49606C2semidirect
2. #49603C2semidirect
3. #47564C2semidirect
4. #46392C2semidirect
5. #43931C2semidirect
6. #43049C2semidirect
7. #39418C2semidirect
8. #39417C2semidirect
9. #38204C2semidirect
10. #38201C2semidirect
11. #37957C2semidirect
12. #37933C2semidirect
13. #37881C2semidirect
14. #37873C2semidirect
15. #37664C2semidirect
16. #37663C2semidirect
17. #37477C2semidirect
18. #37402C2semidirect
19. #37351C2semidirect
20. #36293C2semidirect
21. #36279C2semidirect
22. #35625C2semidirect
23. #35606C2semidirect
24. #35305C2semidirect
25. #35010C2semidirect
27. #34380C2semidirect
28. #34175C2semidirect
29. #34058C2semidirect
31. C2×#542C22semidirect
32. C2×#541C22semidirect
33. C2×#536C22semidirect
34. C2×#536C22semidirect
38. C2×#520C22semidirect
39. C2×#520C22semidirect
41. #2863C22semidirect
42. #2862C22semidirect
43. #2861C22semidirect
44. #2860C22semidirect
49. #2841C22semidirect
50. #2797C22semidirect
51. #2788C22semidirect
52. #2786C22semidirect
53. #2781C22semidirect
54. #2781C22semidirect
55. #2781C22semidirect
56. #2779C22semidirect
57. #2770C22semidirect
58. #2768C22semidirect
59. #2768C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2752C22semidirect
63. #2751C22semidirect
64. #2750C22semidirect
65. #2749C22semidirect
66. #2742C22semidirect
67. #2741C22semidirect
68. #2741C22semidirect
69. #2740C22semidirect
70. #2738C22semidirect
71. #2730C22semidirect
72. #2715C22semidirect
73. #2707C22semidirect
74. #2706C22semidirect
75. #2705C22semidirect
76. #2704C22semidirect
77. #2704C22semidirect
78. #2702C22semidirect
79. #2702C22semidirect
80. #2701C22semidirect
81. #2700C22semidirect
82. #2698C22semidirect
83. #2698C22semidirect
84. #2691C22semidirect
85. #2690C22semidirect
86. #2689C22semidirect
87. #2687C22semidirect
88. #2686C22semidirect
89. #2672C22semidirect
91. #2659C22semidirect
93. #2646C22semidirect
94. #2629C22semidirect
95. #2628C22semidirect
98. #2625C22semidirect
99. #2624C22semidirect
100. #2621C22semidirect
101. #2620C22semidirect
102. #2616C22semidirect
103. #2616C22semidirect
104. #2612C22semidirect
105. #2611C22semidirect
106. #2610C22semidirect
107. #2609C22semidirect
108. #2605C22semidirect
109. #2603C22semidirect
110. #2602C22semidirect
111. #2601C22semidirect
112. #2597C22semidirect
113. #2586C22semidirect
114. #2583C22semidirect
115. #2579C22semidirect
116. #2564C22semidirect
117. #2562C22semidirect
118. #2560C22semidirect
119. #2558C22semidirect
120. #2557C22semidirect
121. #2556C22semidirect
122. #2554C22semidirect
123. #2553C22semidirect
124. #2549C22semidirect
125. #2531C22semidirect
126. #2530C22semidirect
127. #2526C22semidirect
128. #2521C22semidirect
129. #2520C22semidirect
130. #2513C22semidirect
131. #2511C22semidirect
133. #2505C22semidirect
134. #2498C22semidirect
135. #2491C22semidirect
136. #2489C22semidirect
137. #2488C22semidirect
138. #2487C22semidirect
140. #2481C22semidirect
145. #2479C22semidirect
146. #2479C22semidirect
147. #2478C22semidirect
148. #2474C22semidirect
150. #2473C22semidirect
151. #2471C22semidirect
152. #2468C22semidirect
153. #2467C22semidirect
154. #2461C22semidirect
155. #2460C22semidirect
156. #2454C22semidirect
157. #2451C22semidirect
158. #2448C22semidirect
159. #2447C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
164. #2442C22semidirect
166. #2440C22semidirect
173. #2432C22semidirect
174. #2432C22semidirect
175. #2429C22semidirect
176. #2429C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2422C22semidirect
180. #2421C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
183. #2415C22semidirect
184. #2413C22semidirect
185. #2409C22semidirect
192. #2406C22semidirect
197. #2378C22semidirect
201. #2344C22semidirect
206. #2341C22semidirect
208. Q8×C22⋊C4C22semidirect
209. #2339C22semidirect
210. #2339C22semidirect
215. #2324C22semidirect
216. #2323C22semidirect
217. #2323C22semidirect
218. #2323C22semidirect
219. #2319C22semidirect
220. #2319C22semidirect
221. #2319C22semidirect
222. #2319C22semidirect
225. #2316C22semidirect
227. #2313C22semidirect
231. #2311C22semidirect
232. #2311C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
239. C4×C4⋊Q8C22semidirect
240. C4×#124C22semidirect
241. #2295C22semidirect
243. #2293C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
247. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#496062
#496032
#475642
#463922
#439312
#430492
#394182
#394172
#382042
#382012
#379572
#379332
#378812
#378732
#376642
#376632
#374772
#374022
#373512
#362932
#362792
#356252
#356062
#353052
#350102
C2×#24072
#343802
#341752
#340582