Finite Group Databasebeta

← #7650734

Subgroups — #7650734

Order 512.

4822 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42743C212yesmaximal, complemented
2#42693C212yesmaximal, complemented
3#42691C212yesmaximal, complemented
4#42613C212yesmaximal, complemented
5#42599C212yesmaximal, complemented
6#42568C212yesmaximal, complemented
7#42514C212yesmaximal, complemented
8#42512C212yesmaximal, complemented
9#41553C214yesmaximal, complemented
10#40865C214yesmaximal, complemented
11#40106C212yesmaximal, complemented
12#40058C212yesmaximal, complemented
13#40003C212yesmaximal, complemented
14#40000C212yesmaximal, complemented
15#39216C212yesmaximal, complemented
16#39193C212yesmaximal, complemented
17#39002C212yesmaximal, complemented
18#38977C212yesmaximal, complemented
19#38535C214yesmaximal, complemented
20#37910C214yesmaximal, complemented
21#35649C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35335C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31#34813C211yesmaximal, characteristic, complemented
32C2×#2442C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34215C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2859C2212yescomplemented
48#2859C2212yescomplemented
49#2849C2214yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2832C2214yescomplemented
53#2831C2214yescomplemented
54#2798C2214yescomplemented
55#2796C2214yes—
56#2779C2214yes—
57#2779C2214yescomplemented
58#2773C2214yescomplemented
59#2770C2214yes—
60#2767C2214yescomplemented
61#2767C2214yescomplemented
62#2765C2214yes—
63#2765C2214yescomplemented
64#2764C2214yescomplemented
65#2763C2214yes—
66#2761C2214yes—
67#2758C2214yescomplemented
68#2757C2214yes—
69#2757C2214yescomplemented
70#2755C2214yescomplemented
71#2747C2214yescomplemented
72#2746C2214yescomplemented
73#2745C2214yescomplemented
74#2739C2214yes—
75#2739C2214yescomplemented
76#2737C2214yes—
77#2717C2214yes—
78#2715C2214yes—
79#2710C2214yes—
80#2705C2214yes—
81#2698C2214yescomplemented
82#2692C2214yescomplemented
83#2691C2214yes—
84#2687C2214yes—
85#2686C2214yes—
86#2666C2214yescomplemented
87#2665C2214yes—
88#2660C2212yescomplemented
89#2660C2212yescomplemented
90#2654C2214yescomplemented
91#2654C2214yescomplemented
92#2653C2214yes—
93#2651C2214yescomplemented
94#2650C2214yescomplemented
95#2649C2214yescomplemented
96#2645C2214yescomplemented
97#2645C2212yescomplemented
98#2644C2212yescomplemented
99#2638C2214yes—
100#2630C2214yes—
101#2625C2214yescomplemented
102#2623C2214yes—
103#2591C2214yes—
104#2584C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2583C2214yes—
109#2583C2214yes—
110#2582C2212yescomplemented
111#2582C2212yescomplemented
112#2581C2212yescomplemented
113#2581C2212yescomplemented
114#2580C2212yescomplemented
115#2580C2212yescomplemented
116#2538C2212yes—
117#2538C2212yescomplemented
118#2538C2212yescomplemented
119#2537C2212yes—
120#2536C2212yes—
121#2535C2212yes—
122#2530C2214yes—
123#2529C2214yescomplemented
124#2521C2214yes—
125#2515C2214yes—
126#2510C2214yes—
127#2508C2214yescomplemented
128#2504C2212yes—
129#2504C2214yes—
130#2504C2212yescomplemented
131#2503C2212yes—
132#2503C2212yescomplemented
133#2502C2212yes—
134#2501C2212yes—
135#2500C2212yescomplemented
136#2499C2212yescomplemented
137#2497C2212yes—
138#2497C2212yes—
139#2497C2212yescomplemented
140#2496C2212yes—
141#2496C2212yes—
142#2496C2212yescomplemented
143#2495C2212yes—
144#2495C2212yes—
145#2495C2214yescomplemented
146#2495C2212yescomplemented
147#2494C2212yes—
148#2494C2212yes—
149#2494C2212yescomplemented
150#2493C2214yes—
151#2492C2211yescharacteristic
152#2492C2211yescharacteristic
153#2492C2211yescharacteristic
154#2492C2211yescharacteristic
155#2491C2211yescharacteristic
156#2491C2211yescharacteristic
157#2491C2211yescharacteristic
158#2491C2211yescharacteristic
159#2490C2211yescharacteristic
160#2490C2211yescharacteristic
161#2490C2211yescharacteristic
162#2490C2211yescharacteristic
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2489C2211yescharacteristic
168#2489C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2211yescharacteristic
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2489C2212yescomplemented
174#2489C2212yescomplemented
175#2488C2212yes—
176#2488C2212yes—
177#2488C2212yes—
178#2488C2212yes—
179#2487C2212yes—
180#2487C2212yes—
181#2486C2212yes—
182#2486C2212yes—
183#2481C2214yes—
184#2480C2214yes—
185#2479C2214yescomplemented
186#2472C2212yes—
187#2472C2212yes—
188#2472C2212yes—
189#2472C2212yes—
190#2470C2214yes—
191#2468C2214yes—
192#2461C2214yes—
193#2450C2214yes—
194#2450C2214yes—
195#2449C2214yes—
196#2449C2214yes—
197#2447C2214yes—
198#2444C2214yes—
199#2444C2214yes—
200#2442C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yescomplemented
209#2442C2212yescomplemented
210#2441C2212yescomplemented
211#2441C2212yescomplemented
212#2440C2212yescomplemented
213#2440C2212yescomplemented
214#2439C2212yescomplemented
215#2439C2212yescomplemented
216#2427C2214yes—
217#2425C2214yes—
218#2424C2214yes—
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2212yescomplemented
222#2420C2212yescomplemented
223#2417C2212yes—
224#2416C2212yes—
225#2415C2212yes—
226#2414C2212yes—
227#2398C2212yes—
228#2398C2212yes—
229#2398C2212yes—
230#2398C2212yes—
231C2×#400C2212yes—
232C2×#398C2212yes—
233#2368C2214yes—
234#2368C2214yes—
235#2361C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2355C2212yescomplemented
240#2355C2212yescomplemented
241#2355C2212yescomplemented
242#2355C2212yescomplemented
243#2353C2214yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2214yes—
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2345C2212yescomplemented
252#2344C2212yescomplemented
253#2335C2214yes—
254#2334C2214yes—
255#2331C2212yescomplemented
256#2331C2212yescomplemented
257#2324C2214yes—
258#2322C2214yes—
259#2320C2212yescomplemented
260#2319C2214yes—
261#2319C2212yescomplemented
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#120C2214yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2295C2212yescomplemented
285#2293C2212yescomplemented
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#385C2212yes—
289C2×#382C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#380C2212yes—
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#537—44no—
304#533—28no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125—44no—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325#525—28no—
326#525—44no—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#120C2312yes—
352C2×#120C2312yes—
353#520—28no—
354#520—44no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2311yescharacteristic
380C22×C4⋊C4—44no—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401#401C2314yes—
402#401C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#393C2312yes—
503#393C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#393C2312yes—
510#393C2312yes—
511#393C2312yes—
512#392C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4—82no—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2411yescharacteristic
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871#126—48no—
872#126—84no—
873#125—24no—
874#125—24no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—42no—
880#125—42no—
881#124—44no—
882#124—44no—
883#124—44no—
884#124—44no—
885#123—28no—
886#123—48no—
887#123—44no—
888#123—84no—
889C22⋊Q8—24no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—84no—
900C22⋊Q8—84no—
901#121—24no—
902#121—24no—
903#121—48no—
904#121—42no—
905#121—42no—
906#121—44no—
907#121—44no—
908#121—48no—
909#120—28no—
910#120—44no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—84no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—28no—
933#117—44no—
934#117—84no—
935#117#4118yes—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—82no—
950C2×C4⋊C4—82no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4—42no—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2511yescharacteristic
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—416no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—416no—
1300C22×C4—816no—
1301C22×C4C2×#4114yes—
1302C22×C4H(5,𝔽2)14yes—
1303C22×C42−1+414yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4114yes—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4C2×#4118yes—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—28no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—44no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—44no—
1483C42—42no—
1484C42C2×#4118yes—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2×2−1+412yes—
1525C23#58512yes—
1526C23#58512yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—44no—
1530Q8—84no—
1531Q8—84no—
1532Q8—84no—
1533Q8—84no—
1534D4—48no—
1535D4—48no—
1536D4—48no—
1537D4—48no—
1538D4—44no—
1539D4—44no—
1540D4—84no—
1541D4—84no—
1542D4—164no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—48no—
1633C2×C4—88no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—84no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—88no—
1643C2×C4—164no—
1644C2×C4#542116yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—416no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22C2×#54214yes—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C222−1+611yescharacteristic
1696C4—24no—
1697C4—24no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—44no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—44no—
1710C4—41no—
1711C4—44no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—44no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4C2×#54214yes—
1725C4C2×#54214yes—
1726C2—24no—
1727C2—42no—
1728C2—42no—
1729C2—82no—
1730C2—82no—
1731C2C22×#54211yescharacteristic
1732C2#6282511yescharacteristic
1733C2#6287711yescharacteristic
1734C2#6292411yescharacteristic
1735C2#6295411yescharacteristic
1736C2#6299311yescharacteristic
1737C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42743C2semidirect
2. #42693C2semidirect
3. #42691C2semidirect
4. #42613C2semidirect
5. #42599C2semidirect
6. #42568C2semidirect
7. #42514C2semidirect
8. #42512C2semidirect
9. #41553C2semidirect
10. #40865C2semidirect
11. #40106C2semidirect
12. #40058C2semidirect
13. #40003C2semidirect
14. #40000C2semidirect
15. #39216C2semidirect
16. #39193C2semidirect
17. #39002C2semidirect
18. #38977C2semidirect
19. #38535C2semidirect
20. #37910C2semidirect
21. #35649C2semidirect
22. #35618C2semidirect
23. #35544C2semidirect
24. #35519C2semidirect
25. #35519C2semidirect
27. #35335C2semidirect
28. #35267C2semidirect
29. #35227C2semidirect
30. #34813C2semidirect
31. #34813C2semidirect
32. C2×#2442C2semidirect
33. #34253C2semidirect
34. #34215C2semidirect
35. #34200C2semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2832C22semidirect
53. #2831C22semidirect
54. #2798C22semidirect
57. #2779C22semidirect
58. #2773C22semidirect
60. #2767C22semidirect
61. #2767C22semidirect
63. #2765C22semidirect
64. #2764C22semidirect
67. #2758C22semidirect
69. #2757C22semidirect
70. #2755C22semidirect
71. #2747C22semidirect
72. #2746C22semidirect
73. #2745C22semidirect
75. #2739C22semidirect
81. #2698C22semidirect
82. #2692C22semidirect
86. #2666C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2654C22semidirect
91. #2654C22semidirect
93. #2651C22semidirect
94. #2650C22semidirect
95. #2649C22semidirect
96. #2645C22semidirect
97. #2645C22semidirect
98. #2644C22semidirect
101. #2625C22semidirect
104. #2584C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
110. #2582C22semidirect
111. #2582C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
117. #2538C22semidirect
118. #2538C22semidirect
123. #2529C22semidirect
127. #2508C22semidirect
130. #2504C22semidirect
132. #2503C22semidirect
135. #2500C22semidirect
136. #2499C22semidirect
139. #2497C22semidirect
142. #2496C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
149. #2494C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
173. #2489C22semidirect
174. #2489C22semidirect
185. #2479C22semidirect
208. #2442C22semidirect
209. #2442C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
212. #2440C22semidirect
213. #2440C22semidirect
214. #2439C22semidirect
215. #2439C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
221. #2420C22semidirect
222. #2420C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
251. #2345C22semidirect
252. #2344C22semidirect
255. #2331C22semidirect
256. #2331C22semidirect
259. #2320C22semidirect
261. #2319C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
284. #2295C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#427432
#426932
#426912
#426132
#425992
#425682
#425142
#425122
#415532
#408652
#401062
#400582
#400032
#400002
#392162
#391932
#390022
#389772
#385352
#379102
#356492
#356182
#355442
#355192
#355182
#353352
#352672
#352272
#348132
C2×#24422
#342532
#342152
#342002