Finite Group Databasebeta

← #7654367

Subgroups — #7654367

Order 512.

4920 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42725C212yesmaximal, complemented
2#42720C212yesmaximal, complemented
3#41553C214yesmaximal, complemented
4#40870C214yesmaximal, complemented
5#40106C212yesmaximal, complemented
6#39515C211yesmaximal, characteristic, complemented
7#39224C212yesmaximal, complemented
8#39193C211yesmaximal, characteristic, complemented
9#39159C211yesmaximal, characteristic, complemented
10#38932C211yesmaximal, characteristic, complemented
11#38547C214yesmaximal, complemented
12#38125C212yesmaximal, complemented
13#37915C214yesmaximal, complemented
14#37884C212yesmaximal, complemented
15#37853C212yesmaximal, complemented
16#37852C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37503C212yesmaximal, complemented
19#36261C211yesmaximal, characteristic, complemented
20#36238C212yesmaximal, complemented
21#36166C212yesmaximal, complemented
22#36164C211yesmaximal, characteristic, complemented
23#36154C211yesmaximal, characteristic, complemented
24#36153C211yesmaximal, characteristic
25#36031C212yesmaximal, complemented
26#35976C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35230C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35080C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32C2×#2495C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#520C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2863C2212yescomplemented
43#2862C2211yescharacteristic, complemented
44#2861C2212yes—
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yescomplemented
49#2852C2214yescomplemented
50#2850C2214yes—
51#2850C2212yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2839C2214yescomplemented
55#2838C2214yescomplemented
56#2832C2214yescomplemented
57#2801C2214yescomplemented
58#2798C2214yescomplemented
59#2779C2214yescomplemented
60#2779C2214yescomplemented
61#2777C2214yescomplemented
62#2773C2214yescomplemented
63#2767C2214yescomplemented
64#2764C2214yescomplemented
65#2762C2214yescomplemented
66#2759C2214yescomplemented
67#2758C2214yescomplemented
68#2757C2214yescomplemented
69#2754C2214yescomplemented
70#2747C2214yes—
71#2746C2214yescomplemented
72#2745C2214yes—
73#2745C2214yescomplemented
74#2742C2214yes—
75#2741C2214yes—
76#2739C2214yescomplemented
77#2738C2214yescomplemented
78#2737C2214yescomplemented
79#2717C2214yes—
80#2687C2214yes—
81#2666C2214yescomplemented
82#2654C2214yescomplemented
83#2654C2214yescomplemented
84#2653C2214yes—
85#2651C2214yescomplemented
86#2650C2214yescomplemented
87#2649C2214yescomplemented
88#2647C2212yescomplemented
89#2645C2212yescomplemented
90#2645C2212yescomplemented
91#2632C2214yescomplemented
92#2628C2212yescomplemented
93#2628C2212yescomplemented
94#2628C2212yescomplemented
95#2627C2214yescomplemented
96#2625C2212yes—
97#2625C2212yescomplemented
98#2624C2212yes—
99#2624C2212yescomplemented
100#2623C2214yes—
101#2592C2212yes—
102#2591C2214yes—
103#2584C2212yescomplemented
104#2583C2214yescomplemented
105#2581C2212yescomplemented
106#2568C2212yescomplemented
107#2568C2211yescharacteristic, complemented
108#2564C2214yescomplemented
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic, complemented
111#2562C2212yes—
112#2561C2214yes—
113#2552C2211yescharacteristic, complemented
114#2551C2211yescharacteristic, complemented
115#2550C2212yescomplemented
116#2549C2214yescomplemented
117#2547C2211yescharacteristic
118#2538C2211yescharacteristic
119#2537C2211yescharacteristic
120#2532C2212yescomplemented
121#2529C2212yescomplemented
122#2525C2214yescomplemented
123#2521C2214yescomplemented
124#2515C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2514C2212yescomplemented
128#2512C2211yescharacteristic, complemented
129#2510C2214yescomplemented
130#2510C2214yescomplemented
131#2510C2214yescomplemented
132#2509C2212yescomplemented
133#2508C2212yescomplemented
134#2508C2211yescharacteristic, complemented
135#2504C2212yes—
136#2504C2212yescomplemented
137#2503C2212yescomplemented
138#2498C2214yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2214yes—
142#2495C2211yescharacteristic
143#2495C2214yes—
144#2495C2212yes—
145#2495C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2212yescomplemented
149#2495C2212yescomplemented
150#2495C2214yescomplemented
151#2495C2214yescomplemented
152#2495C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2212yes—
155#2494C2212yescomplemented
156#2493C2214yescomplemented
157#2493C2214yescomplemented
158#2493C2214yescomplemented
159#2492C2212yes—
160#2492C2212yes—
161#2491C2212yes—
162#2491C2211yescharacteristic
163#2491C2212yescomplemented
164#2490C2212yes—
165#2489C2212yes—
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2488C2214yes—
169#2488C2214yes—
170#2488C2214yescomplemented
171#2488C2214yescomplemented
172#2487C2212yes—
173#2487C2214yescomplemented
174#2486C2212yes—
175#2486C2212yes—
176#2482C2214yes—
177#2479C2212yes—
178#2474C2212yes—
179#2472C2214yes—
180#2472C2214yes—
181#2454C2212yes—
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2451C2211yescharacteristic, complemented
185#2450C2214yes—
186#2450C2214yescomplemented
187#2450C2214yescomplemented
188#2448C2212yes—
189#2448C2212yes—
190#2448C2211yescharacteristic, complemented
191#2444C2214yes—
192#2444C2214yes—
193#2442C2212yes—
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2440C2212yescomplemented
197#2440C2212yescomplemented
198#2438C2214yescomplemented
199#2438C2214yescomplemented
200#2437C2214yes—
201#2427C2212yes—
202#2427C2212yescomplemented
203#2426C2211yescharacteristic
204#2425C2214yes—
205#2423C2211yescharacteristic
206#2423C2212yescomplemented
207#2422C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2418C2214yes—
211#2418C2214yes—
212#2417C2212yes—
213#2417C2212yes—
214#2416C2212yes—
215#2412C2214yes—
216#2396C2212yescomplemented
217#2395C2212yes—
218C2×#400C2214yescomplemented
219C2×#397C2214yes—
220#2370C2212yescomplemented
221#2369C2211yescharacteristic, complemented
222#2368C2214yescomplemented
223#2365C2211yescharacteristic, complemented
224#2361C2212yescomplemented
225#2360C2212yescomplemented
226#2360C2212yescomplemented
227#2359C2214yescomplemented
228#2357C2211yescharacteristic
229#2357C2211yescharacteristic
230#2355C2211yescharacteristic, complemented
231#2353C2212yes—
232#2353C2212yes—
233#2349C2212yes—
234#2349C2211yescharacteristic
235#2349C2212yes—
236#2349C2211yescharacteristic
237#2349C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic, complemented
241#2345C2211yescharacteristic
242#2345C2211yescharacteristic
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2342C2212yes—
246#2342C2212yes—
247#2339C2212yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2211yescharacteristic
254#2337C2214yescomplemented
255#2335C2214yes—
256#2331C2212yescomplemented
257#2324C2212yescomplemented
258#2323C2212yes—
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2322C2214yescomplemented
262#2320C2212yescomplemented
263#2319C2212yescomplemented
264#2314C2212yescomplemented
265#2314C2212yescomplemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#125C2212yescomplemented
270C4×#126C2212yescomplemented
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic, complemented
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2214yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic, complemented
281C2×#389C2212yescomplemented
282C2×#389C2212yescomplemented
283#2290C2212yes—
284#2290C2212yes—
285C2×#388C2214yes—
286#2283C2211yescharacteristic
287C2×#383C2214yescomplemented
288C2×#382C2212yescomplemented
289#2280C2212yes—
290C2×#380C2212yes—
291C2×#380C2212yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#554—48no—
304#547—28no—
305#546—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#120C2314yes—
338#520—48no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4—28no—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2311yescharacteristic
385C22×C42C2314yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2312yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
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#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2311yescharacteristic
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#379C2312yes—
742#379C2314yes—
743#379C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—28no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861#126—44no—
862#125—28no—
863#125—44no—
864#125—44no—
865#124—48no—
866#124—42no—
867#124—44no—
868#124—44no—
869#123—216no—
870#123—48no—
871#123—48no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882#121—28no—
883#121—44no—
884#121—42no—
885#121—44no—
886#121—48no—
887#120—48no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—48no—
912C4×D4#4118yes—
913#117—44no—
914#117—44no—
915#117—44no—
916#117—42no—
917#117—42no—
918#117—48no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4—28no—
992C2×C22⋊C4—44no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—48no—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—44no—
1052C2×C42—44no—
1053C2×C42—48no—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24—24no—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179#41—432no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—416no—
1214C2×D4C2×#4114yes—
1215C2×D4H(5,𝔽2)14yes—
1216C2×D42−1+414yes—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—816no—
1271C22×C4C2×#4118yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4114yes—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—41no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4C2×#4118yes—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—28no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—44no—
1450C42—44no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42C2×#4114yes—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—48no—
1480C23—48no—
1481C23—48no—
1482C23—48no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23C22×#4114yes—
1487C23C2×H(5,𝔽2)14yes—
1488C23C2×2−1+414yes—
1489C23#58512yes—
1490C23C2611yescharacteristic
1491Q8—48no—
1492Q8—44no—
1493Q8—84no—
1494Q8—84no—
1495Q8—164no—
1496D4—48no—
1497D4—416no—
1498D4—44no—
1499D4—44no—
1500D4—84no—
1501D4—164no—
1502D4#542116yes—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—216no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—416no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—164no—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—816no—
1642C22C2×#54218yes—
1643C22C23×#4111yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—41no—
1678C4—44no—
1679C4C2×#54214yes—
1680C4#352114yes—
1681C2—28no—
1682C2—42no—
1683C2—82no—
1684C2—82no—
1685C2C22×#54211yescharacteristic
1686C2C2×#352111yescharacteristic
1687C2#6281011yescharacteristic
1688C2#6301811yescharacteristic
1689C2#6302311yescharacteristic
1690C2#6302311yescharacteristic
1691C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36153C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42725C2semidirect
2. #42720C2semidirect
3. #41553C2semidirect
4. #40870C2semidirect
5. #40106C2semidirect
6. #39515C2semidirect
7. #39224C2semidirect
8. #39193C2semidirect
9. #39159C2semidirect
10. #38932C2semidirect
11. #38547C2semidirect
12. #38125C2semidirect
13. #37915C2semidirect
14. #37884C2semidirect
15. #37853C2semidirect
16. #37852C2semidirect
17. #37636C2semidirect
18. #37503C2semidirect
19. #36261C2semidirect
20. #36238C2semidirect
21. #36166C2semidirect
22. #36164C2semidirect
23. #36154C2semidirect
25. #36031C2semidirect
26. #35976C2semidirect
27. #35291C2semidirect
28. #35230C2semidirect
29. #35184C2semidirect
30. #35080C2semidirect
31. #34974C2semidirect
32. C2×#2495C2semidirect
33. #34308C2semidirect
34. C4×#554C2semidirect
35. #34126C2semidirect
42. #2863C22semidirect
43. #2862C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
49. #2852C22semidirect
51. #2850C22semidirect
54. #2839C22semidirect
55. #2838C22semidirect
56. #2832C22semidirect
57. #2801C22semidirect
58. #2798C22semidirect
59. #2779C22semidirect
60. #2779C22semidirect
61. #2777C22semidirect
62. #2773C22semidirect
63. #2767C22semidirect
64. #2764C22semidirect
65. #2762C22semidirect
66. #2759C22semidirect
67. #2758C22semidirect
68. #2757C22semidirect
69. #2754C22semidirect
71. #2746C22semidirect
73. #2745C22semidirect
76. #2739C22semidirect
77. #2738C22semidirect
78. #2737C22semidirect
81. #2666C22semidirect
82. #2654C22semidirect
83. #2654C22semidirect
85. #2651C22semidirect
86. #2650C22semidirect
87. #2649C22semidirect
88. #2647C22semidirect
89. #2645C22semidirect
90. #2645C22semidirect
91. #2632C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
94. #2628C22semidirect
95. #2627C22semidirect
97. #2625C22semidirect
99. #2624C22semidirect
103. #2584C22semidirect
104. #2583C22semidirect
105. #2581C22semidirect
106. #2568C22semidirect
107. #2568C22semidirect
108. #2564C22semidirect
110. #2563C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2550C22semidirect
116. #2549C22semidirect
120. #2532C22semidirect
121. #2529C22semidirect
122. #2525C22semidirect
123. #2521C22semidirect
124. #2515C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
128. #2512C22semidirect
129. #2510C22semidirect
130. #2510C22semidirect
131. #2510C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
134. #2508C22semidirect
136. #2504C22semidirect
137. #2503C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
155. #2494C22semidirect
156. #2493C22semidirect
157. #2493C22semidirect
158. #2493C22semidirect
163. #2491C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
170. #2488C22semidirect
171. #2488C22semidirect
173. #2487C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2451C22semidirect
186. #2450C22semidirect
187. #2450C22semidirect
190. #2448C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
202. #2427C22semidirect
206. #2423C22semidirect
216. #2396C22semidirect
218. C2×#400C22semidirect
220. #2370C22semidirect
221. #2369C22semidirect
222. #2368C22semidirect
223. #2365C22semidirect
224. #2361C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
227. #2359C22semidirect
230. #2355C22semidirect
240. D4×C4⋊C4C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
254. #2337C22semidirect
256. #2331C22semidirect
257. #2324C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
261. #2322C22semidirect
262. #2320C22semidirect
263. #2319C22semidirect
264. #2314C22semidirect
265. #2314C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×#126C22semidirect
272. C4×#124C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
277. C4×#121C22semidirect
280. #2293C22semidirect
281. C2×#389C22semidirect
282. C2×#389C22semidirect
287. C2×#383C22semidirect
288. C2×#382C22semidirect
292. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#427252
#427202
#415532
#408702
#401062
#395152
#392242
#391932
#391592
#389322
#385472
#381252
#379152
#378842
#378532
#378522
#376362
#375032
#362612
#362382
#361662
#361642
#361542
#361532
#360312
#359762
#352912
#352302
#351842
#350802
#349742
C2×#24952
#343082
C4×#5542
#341262