Finite Group Databasebeta

← #8195251

Subgroups — #8195251

Order 512.

5059 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59823C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59467C211yesmaximal, characteristic, complemented
5#59458C211yesmaximal, characteristic, complemented
6#59062C212yesmaximal, complemented
7#57176C214yesmaximal, complemented
8#54982C214yesmaximal, complemented
9#53123C212yesmaximal, complemented
10#52959C212yesmaximal, complemented
11#49852C214yesmaximal, complemented
12#47598C214yesmaximal, complemented
13#46340C212yesmaximal, complemented
14#45625C212yesmaximal, complemented
15#45034C212yesmaximal, complemented
16#44989C212yesmaximal, complemented
17#42928C212yesmaximal, complemented
18#42540C212yesmaximal, complemented
19#42440C212yesmaximal, complemented
20#42439C212yesmaximal, complemented
21#40167C212yesmaximal, complemented
22#40141C212yesmaximal, complemented
23#39606C211yesmaximal, characteristic, complemented
24#39387C211yesmaximal, characteristic, complemented
25#39352C211yesmaximal, characteristic, complemented
26#39165C212yesmaximal, complemented
27#39136C212yesmaximal, complemented
28#38966C211yesmaximal, characteristic, complemented
29#36473C211yesmaximal, characteristic, complemented
30#36472C211yesmaximal, characteristic, complemented
31#36261C211yesmaximal, characteristic, complemented
32#36115C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34978C211yesmaximal, characteristic, complemented
35#34970C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39C2×#554C2212yes—
40C2×#553C2212yes—
41C2×#553C2212yes—
42C2×#542C2212yes—
43C2×#540C2212yes—
44C2×#529C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2850C2212yes—
53#2837C2214yes—
54#2836C2214yes—
55#2836C2214yes—
56#2827C2214yes—
57#2823C2214yes—
58#2814C2214yes—
59#2814C2214yes—
60#2791C2214yes—
61#2790C2214yes—
62#2768C2214yes—
63#2768C2214yes—
64#2754C2214yes—
65#2748C2214yes—
66#2743C2214yes—
67#2732C2214yes—
68#2732C2214yes—
69#2732C2214yes—
70#2730C2214yes—
71#2727C2214yes—
72#2727C2214yes—
73#2725C2214yes—
74#2723C2214yes—
75#2722C2214yes—
76#2722C2214yes—
77#2720C2214yes—
78#2718C2214yes—
79#2715C2214yes—
80#2714C2214yes—
81#2711C2214yes—
82#2707C2214yes—
83#2706C2214yes—
84#2706C2214yes—
85#2705C2214yes—
86#2705C2214yes—
87#2705C2214yes—
88#2704C2214yes—
89#2702C2214yes—
90#2696C2214yes—
91#2695C2214yes—
92#2692C2214yes—
93#2691C2214yes—
94#2691C2214yes—
95#2687C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2680C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2674C2214yes—
102#2672C2214yes—
103#2671C2214yes—
104#2644C2212yes—
105#2639C2214yes—
106#2637C2214yes—
107#2636C2214yes—
108#2630C2214yes—
109#2629C2212yes—
110#2629C2212yes—
111#2624C2212yes—
112#2624C2212yes—
113#2620C2212yes—
114#2620C2214yes—
115#2618C2214yes—
116#2612C2212yes—
117#2612C2212yes—
118#2604C2214yes—
119#2603C2214yes—
120#2590C2214yes—
121#2584C2212yes—
122#2583C2214yes—
123#2580C2212yes—
124#2571C2211yescharacteristic
125#2566C2212yes—
126#2565C2212yes—
127#2552C2211yescharacteristic
128#2552C2211yescharacteristic
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2552C2212yes—
133#2552C2211yescharacteristic
134#2552C2211yescharacteristic
135#2551C2211yescharacteristic
136#2551C2211yescharacteristic
137#2550C2212yes—
138#2549C2214yes—
139#2548C2212yes—
140#2542C2211yescharacteristic
141#2542C2212yes—
142#2542C2211yescharacteristic
143#2542C2214yes—
144#2541C2211yescharacteristic
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2540C2214yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2214yes—
151#2538C2212yes—
152#2538C2214yes—
153#2538C2212yes—
154#2538C2212yes—
155#2537C2212yes—
156#2535C2212yes—
157#2531C2212yes—
158#2526C2212yes—
159#2521C2214yes—
160#2519C2214yes—
161#2513C2211yescharacteristic
162#2513C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2211yescharacteristic
171#2502C2212yes—
172#2501C2212yes—
173#2497C2211yescharacteristic
174#2496C2212yes—
175#2492C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2490C2211yescharacteristic
180#2478C2214yes—
181#2476C2212yes—
182#2471C2214yes—
183#2471C2212yes—
184#2467C2214yes—
185#2464C2214yes—
186#2461C2214yes—
187#2456C2214yes—
188#2455C2214yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2211yescharacteristic
193#2454C2212yes—
194#2454C2212yes—
195#2454C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2449C2214yes—
202#2448C2212yes—
203#2447C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2211yescharacteristic
208#2445C2212yes—
209#2443C2214yes—
210#2442C2212yes—
211#2441C2212yes—
212#2441C2211yescharacteristic
213#2441C2212yes—
214#2441C2211yescharacteristic
215#2440C2212yes—
216#2440C2212yes—
217#2439C2212yes—
218#2439C2211yescharacteristic
219#2439C2211yescharacteristic
220#2428C2212yes—
221#2428C2211yescharacteristic
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2425C2214yes—
229#2423C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2420C2211yescharacteristic
233#2420C2212yes—
234#2419C2214yes—
235#2417C2212yes—
236#2417C2214yes—
237#2417C2212yes—
238#2417C2214yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2214yes—
243#2415C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2413C2214yes—
247#2396C2212yes—
248#2396C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2376C2214yes—
252#2370C2212yes—
253#2366C2211yescharacteristic
254#2366C2212yes—
255#2366C2212yes—
256#2366C2211yescharacteristic
257#2366C2212yes—
258#2365C2211yescharacteristic
259#2365C2211yescharacteristic
260#2362C2212yes—
261#2361C2212yes—
262#2354C2212yes—
263#2354C2211yescharacteristic
264Q8×C4⋊C4C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2214yes—
271#2325C2214yes—
272#2324C2212yes—
273#2324C2212yes—
274#2323C2214yes—
275#2319C2212yes—
276#2317C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2212yes—
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2212yes—
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2212yes—
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—48no—
300#554—48no—
301#554—48no—
302#554—48no—
303#553—48no—
304#553—48no—
305#542—48no—
306#540—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317#529—48no—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2314yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2312yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2312yes—
500#396C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2312yes—
505#395C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2312yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2314yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2314yes—
737#384C2312yes—
738#384C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2314yes—
745#382C2312yes—
746#381C2314yes—
747#381C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2311yescharacteristic
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2311yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#127—24no—
857#127—28no—
858#127—24no—
859#127—44no—
860#126—48no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#125—24no—
867#125—28no—
868#125—24no—
869#125—24no—
870#125—44no—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—48no—
875#124—48no—
876#124—44no—
877#124—44no—
878#124—48no—
879#123—44no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—24no—
903#121—28no—
904#121—24no—
905#121—44no—
906#121—48no—
907#121—44no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917C4×Q8—28no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946#117—24no—
947#117—28no—
948#117—24no—
949#117—44no—
950#117—44no—
951#117—42no—
952#117—48no—
953#117—42no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—48no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195C24C2514yes—
1196C24C2512yes—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—28no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D42−1+414yes—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4H(5,𝔽2)14yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C4⋊C4H(5,𝔽2)14yes—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—28no—
1465C42—24no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—28no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—42no—
1485C42—42no—
1486C42—41no—
1487C42—41no—
1488C42—41no—
1489C42—44no—
1490C42—44no—
1491C42—42no—
1492C422−1+414yes—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—21no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—21no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—21no—
1518C23—22no—
1519C23—21no—
1520C23C2×2−1+414yes—
1521C23C2611yescharacteristic
1522Q8—48no—
1523Q8—84no—
1524Q8—84no—
1525Q8—88no—
1526D4—28no—
1527D4—416no—
1528D4—48no—
1529D4—48no—
1530D4—48no—
1531D4—44no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—88no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—84no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)14yes—
1636C2×C4C2×H(5,𝔽2)14yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C22—24no—
1647C22—24no—
1648C22—24no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—44no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—44no—
1659C22—44no—
1660C22—42no—
1661C22—41no—
1662C22—44no—
1663C22—44no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—44no—
1671C22—41no—
1672C22—44no—
1673C22—42no—
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×H(5,𝔽2)11yescharacteristic
1677C22C22×2−1+411yescharacteristic
1678C22C22×2−1+411yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C4—24no—
1682C4—24no—
1683C4—24no—
1684C4—22no—
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4#354814yes—
1711C4#355214yes—
1712C2—44no—
1713C2—81no—
1714C2—82no—
1715C2—84no—
1716C2C2×#355211yescharacteristic
1717C2C2×#354811yescharacteristic
1718C2#6283111yescharacteristic
1719C2#6301311yescharacteristic
1720C2#6301411yescharacteristic
1721C2#6301411yescharacteristic
1722C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59823C2semidirect
2. #59823C2semidirect
3. #59680C2semidirect
4. #59467C2semidirect
5. #59458C2semidirect
6. #59062C2semidirect
7. #57176C2semidirect
8. #54982C2semidirect
9. #53123C2semidirect
10. #52959C2semidirect
11. #49852C2semidirect
12. #47598C2semidirect
13. #46340C2semidirect
14. #45625C2semidirect
15. #45034C2semidirect
16. #44989C2semidirect
17. #42928C2semidirect
18. #42540C2semidirect
19. #42440C2semidirect
20. #42439C2semidirect
21. #40167C2semidirect
22. #40141C2semidirect
23. #39606C2semidirect
24. #39387C2semidirect
25. #39352C2semidirect
26. #39165C2semidirect
27. #39136C2semidirect
28. #38966C2semidirect
29. #36473C2semidirect
30. #36472C2semidirect
31. #36261C2semidirect
32. #36115C2semidirect
33. #35288C2semidirect
34. #34978C2semidirect
35. #34970C2semidirect

Maximal subgroups

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

subgroupindex
#598232
#596802
#594672
#594582
#590622
#571762
#549822
#531232
#529592
#498522
#475982
#463402
#456252
#450342
#449892
#429282
#425402
#424402
#424392
#401672
#401412
#396062
#393872
#393522
#391652
#391362
#389662
#364732
#364722
#362612
#361152
#352882
#349782
#349702