Finite Group Databasebeta

← #7644410

Subgroups — #7644410

Order 512.

5386 conjugacy classes of subgroups.

The subgroup lattice has 1796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42869C212yesmaximal, complemented
2#42851C212yesmaximal, complemented
3#42844C212yesmaximal, complemented
4#42829C212yesmaximal, complemented
5#42732C212yesmaximal, complemented
6#42709C212yesmaximal, complemented
7#42598C212yesmaximal, complemented
8#42552C212yesmaximal, complemented
9#41495C214yesmaximal, complemented
10#41474C214yesmaximal, complemented
11#40840C214yesmaximal, complemented
12#40701C214yesmaximal, complemented
13#37499C212yesmaximal, complemented
14#37498C212yesmaximal, complemented
15#37495C212yesmaximal, complemented
16#37494C212yesmaximal, complemented
17#37414C212yesmaximal, complemented
18#37398C212yesmaximal, complemented
19#37361C212yesmaximal, complemented
20#37338C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35628C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35564C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35545C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#34637C211yesmaximal, characteristic, complemented
32C2×#2645C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34259C211yesmaximal, characteristic, complemented
35#34070C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49#2857C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2850C2212yes—
53#2833C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2831C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2825C2214yes—
60#2824C2214yes—
61#2805C2214yes—
62#2804C2214yes—
63#2788C2214yes—
64#2788C2214yes—
65#2787C2214yes—
66#2784C2214yes—
67#2781C2214yes—
68#2779C2214yes—
69#2778C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2774C2214yes—
73#2771C2214yes—
74#2765C2214yes—
75#2760C2214yes—
76#2759C2214yes—
77#2753C2214yes—
78#2751C2214yes—
79#2751C2214yes—
80#2750C2214yes—
81#2750C2214yes—
82#2750C2214yes—
83#2749C2214yes—
84#2745C2214yes—
85#2745C2214yes—
86#2743C2214yes—
87#2708C2214yes—
88#2703C2214yes—
89#2702C2214yes—
90#2696C2214yes—
91#2695C2214yes—
92#2688C2214yes—
93#2666C2214yes—
94#2665C2214yes—
95#2653C2214yes—
96#2653C2214yes—
97#2653C2214yes—
98#2652C2214yes—
99#2650C2214yes—
100#2649C2214yes—
101#2648C2214yes—
102#2648C2214yes—
103#2646C2214yes—
104#2645C2212yes—
105#2645C2212yes—
106#2645C2212yes—
107#2645C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2645C2212yes—
111#2645C2212yes—
112#2643C2214yes—
113#2643C2214yes—
114#2642C2211yescharacteristic
115#2642C2211yescharacteristic
116#2641C2211yescharacteristic
117#2641C2211yescharacteristic
118#2640C2211yescharacteristic
119#2640C2211yescharacteristic
120#2640C2211yescharacteristic
121#2640C2211yescharacteristic
122#2639C2212yes—
123#2639C2212yes—
124#2639C2214yes—
125#2639C2212yes—
126#2639C2212yes—
127#2636C2214yes—
128#2635C2214yes—
129#2625C2212yes—
130#2624C2212yes—
131#2621C2212yes—
132#2620C2212yes—
133#2595C2214yes—
134#2592C2212yes—
135#2592C2212yes—
136#2589C2214yes—
137#2582C2212yes—
138#2581C2212yes—
139#2580C2212yes—
140#2576C2214yes—
141#2568C2212yes—
142#2568C2212yes—
143#2559C2214yes—
144#2543C2214yes—
145#2543C2214yes—
146#2538C2212yes—
147#2514C2212yes—
148#2513C2212yes—
149#2512C2212yes—
150#2511C2212yes—
151#2510C2214yes—
152#2510C2214yes—
153#2505C2214yes—
154#2503C2212yes—
155#2502C2212yes—
156#2499C2212yes—
157#2499C2212yes—
158#2497C2212yes—
159#2496C2212yes—
160#2495C2212yes—
161#2494C2212yes—
162#2492C2212yes—
163#2492C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2488C2214yes—
167#2488C2214yes—
168#2481C2214yes—
169#2450C2214yes—
170#2450C2214yes—
171#2449C2214yes—
172#2447C2212yes—
173#2447C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2444C2214yes—
177#2444C2214yes—
178#2443C2214yes—
179#2442C2212yes—
180#2441C2212yes—
181#2440C2212yes—
182#2439C2212yes—
183#2436C2212yes—
184#2436C2212yes—
185#2434C2212yes—
186#2434C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2431C2212yes—
190#2431C2212yes—
191#2430C2214yes—
192#2430C2214yes—
193#2430C2214yes—
194#2430C2214yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2425C2214yes—
208#2425C2214yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2419C2214yes—
214#2419C2214yes—
215#2417C2212yes—
216#2417C2212yes—
217#2416C2214yes—
218#2416C2214yes—
219#2416C2212yes—
220#2416C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2409C2212yes—
226#2409C2212yes—
227#2409C2212yes—
228#2409C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2407C2212yes—
233C2×#401C2212yes—
234#2398C2212yes—
235#2398C2212yes—
236#2398C2212yes—
237#2398C2212yes—
238C2×#400C2212yes—
239C2×#400C2212yes—
240C2×#400C2212yes—
241#2364C2214yes—
242#2363C2212yes—
243#2362C2212yes—
244#2361C2212yes—
245#2361C2214yes—
246#2360C2212yes—
247Q8×C22⋊C4C2212yes—
248Q8×C22⋊C4C2212yes—
249#2339C2214yes—
250#2339C2212yes—
251#2339C2214yes—
252#2339C2212yes—
253#2328C2211yescharacteristic
254#2328C2211yescharacteristic
255#2327C2211yescharacteristic
256#2327C2211yescharacteristic
257#2326C2211yescharacteristic
258#2326C2211yescharacteristic
259#2326C2211yescharacteristic
260#2326C2211yescharacteristic
261#2325C2212yes—
262#2325C2212yes—
263#2325C2212yes—
264#2325C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2212yes—
274#2310C2212yes—
275#2310C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2212yes—
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2212yes—
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292#2290C2212yes—
293#2290C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2314yes—
309C23×Q8C2311yescharacteristic
310C23×Q8C2312yes—
311C23×Q8C2312yes—
312#537—28no—
313#537—44no—
314#537—44no—
315#536—44no—
316#536—44no—
317#533—44no—
318#532—28no—
319#532—44no—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368#520—44no—
369#520—44no—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#401C2314yes—
420#401C2314yes—
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#393C2312yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2312yes—
535#393C2312yes—
536#393C2312yes—
537#393C2312yes—
538#393C2312yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
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#388C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#384C2312yes—
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#383C2314yes—
749#382C2314yes—
750#382C2314yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
8252−1+4—464no—
826C2×#41—216no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—48no—
841C2×#41—48no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41#4118yes—
847C22×Q8—28no—
848C22×Q8—28no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C4⋊Q8—24no—
905C4⋊Q8—42no—
906C4⋊Q8—42no—
907C4⋊Q8—42no—
908C4⋊Q8—44no—
909C4⋊Q8—44no—
910#127—24no—
911#127—42no—
912#126—84no—
913#125—42no—
914#125—42no—
915#124—24no—
916#124—24no—
917#124—42no—
918#124—42no—
919#124—44no—
920#124—44no—
921#123—48no—
922#123—48no—
923#123—84no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—84no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—216no—
941#121—28no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—84no—
951#121—84no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—42no—
955C4×Q8—42no—
956C4×Q8—42no—
957C4×Q8—42no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—48no—
975C4×D4—48no—
976C4×D4—84no—
977#117—24no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—44no—
982#117—44no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—82no—
991C2×C4⋊C4—82no—
992C2×C4⋊C4—82no—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42—44no—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2511yescharacteristic
1218#41—232no—
1219#41—432no—
1220#41—464no—
1221#41—432no—
1222#41—416no—
1223#41—416no—
1224#41—416no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—28no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—44no—
1244C2×Q8—44no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—432no—
1252C2×Q8—432no—
1253C2×Q8—416no—
1254C2×Q8C2×#4114yes—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4C2×#4118yes—
1302C2×D4C2×#4114yes—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—28no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—28no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4C2×#4118yes—
1369C22×C4C2×#4114yes—
1370C22×C4H(5,𝔽2)14yes—
1371C22×C4H(5,𝔽2)14yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23C22×#4114yes—
1569C23C22×#4112yes—
1570C23C2×H(5,𝔽2)12yes—
1571C23C2×H(5,𝔽2)12yes—
1572C23C2611yescharacteristic
1573Q8—28no—
1574Q8—416no—
1575Q8—48no—
1576Q8—44no—
1577Q8—48no—
1578Q8—44no—
1579Q8—44no—
1580Q8—84no—
1581Q8—84no—
1582D4—216no—
1583D4—28no—
1584D4—416no—
1585D4—48no—
1586D4—48no—
1587D4—48no—
1588D4—44no—
1589D4—44no—
1590D4—44no—
1591D4—88no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—164no—
1597D4—164no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—216no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—416no—
1683C2×C4—416no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—82no—
1689C2×C4—84no—
1690C2×C4—82no—
1691C2×C4—82no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—82no—
1695C2×C4—82no—
1696C2×C4—82no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—164no—
1702C2×C4—164no—
1703C2×C4#538116yes—
1704C2×C4C22×#4114yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—24no—
1718C22—24no—
1719C22—24no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22C2×#53814yes—
1746C22C23×#4111yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C222−1+611yescharacteristic
1751C222−1+611yescharacteristic
1752C222−1+611yescharacteristic
1753C4—24no—
1754C4—41no—
1755C4—44no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—44no—
1764C4—44no—
1765C4—41no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4C2×#53814yes—
1782C4C2×#53814yes—
1783C2—24no—
1784C2—44no—
1785C2—82no—
1786C2—82no—
1787C2—82no—
1788C2C22×#53811yescharacteristic
1789C2#6285711yescharacteristic
1790C2#6286111yescharacteristic
1791C2#6287811yescharacteristic
1792C2#6287811yescharacteristic
1793C2#6288811yescharacteristic
1794C2#6288811yescharacteristic
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. #42869C2semidirect
2. #42851C2semidirect
3. #42844C2semidirect
4. #42829C2semidirect
5. #42732C2semidirect
6. #42709C2semidirect
7. #42598C2semidirect
8. #42552C2semidirect
9. #41495C2semidirect
10. #41474C2semidirect
11. #40840C2semidirect
12. #40701C2semidirect
13. #37499C2semidirect
14. #37498C2semidirect
15. #37495C2semidirect
16. #37494C2semidirect
17. #37414C2semidirect
18. #37398C2semidirect
19. #37361C2semidirect
20. #37338C2semidirect
21. #35660C2semidirect
22. #35660C2semidirect
23. #35628C2semidirect
24. #35619C2semidirect
25. #35564C2semidirect
26. #35564C2semidirect
27. #35545C2semidirect
28. #35519C2semidirect
29. #35308C2semidirect
30. #35255C2semidirect
31. #34637C2semidirect
32. C2×#2645C2semidirect
33. #34267C2semidirect
34. #34259C2semidirect
35. #34070C2semidirect

Maximal subgroups

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

subgroupindex
#428692
#428512
#428442
#428292
#427322
#427092
#425982
#425522
#414952
#414742
#408402
#407012
#374992
#374982
#374952
#374942
#374142
#373982
#373612
#373382
#356602
#356282
#356192
#355642
#355452
#355192
#353082
#352552
#346372
C2×#26452
#342672
#342592
#340702