Finite Group Databasebeta

← #7646669

Subgroups — #7646669

Order 512.

4569 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42867C212yesmaximal, complemented
2#42851C212yesmaximal, complemented
3#42766C212yesmaximal, complemented
4#42714C212yesmaximal, complemented
5#41889C214yesmaximal, complemented
6#41787C214yesmaximal, complemented
7#39801C212yesmaximal, complemented
8#39763C211yesmaximal, characteristic, complemented
9#39727C211yesmaximal, characteristic, complemented
10#39626C211yesmaximal, characteristic, complemented
11#39596C211yesmaximal, characteristic, complemented
12#39293C212yesmaximal, complemented
13#39167C211yesmaximal, characteristic, complemented
14#39156C211yesmaximal, characteristic, complemented
15#38984C211yesmaximal, characteristic, complemented
16#38940C211yesmaximal, characteristic, complemented
17#38288C212yesmaximal
18#38240C212yesmaximal, complemented
19#37593C212yesmaximal, complemented
20#37572C212yesmaximal, complemented
21#37112C214yesmaximal, complemented
22#37065C214yesmaximal, complemented
23#35665C212yesmaximal, complemented
24#35663C212yesmaximal, complemented
25#35291C211yesmaximal, characteristic, complemented
26#35208C212yesmaximal, complemented
27#35201C212yesmaximal, complemented
28#35194C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35162C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic
33#34311C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2212yes—
40C2×#529C2212yes—
41C2×#519C2212yes—
42#2865C2214yes—
43#2863C2214yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2861C2214yes—
48#2859C2211yescharacteristic
49#2859C2214yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2837C2214yes—
53#2832C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2806C2214yes—
57#2805C2214yes—
58#2803C2214yes—
59#2800C2214yes—
60#2800C2214yes—
61#2795C2214yes—
62#2793C2214yes—
63#2792C2214yes—
64#2788C2214yes—
65#2787C2214yes—
66#2781C2214yes—
67#2777C2214yes—
68#2777C2214yes—
69#2777C2214yes—
70#2775C2214yes—
71#2775C2214yes—
72#2767C2214yes—
73#2762C2214yes—
74#2759C2214yes—
75#2759C2214yes—
76#2759C2214yes—
77#2759C2214yes—
78#2758C2214yes—
79#2756C2214yes—
80#2740C2214yes—
81#2737C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2723C2214yes—
85#2720C2214yes—
86#2702C2214yes—
87#2692C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2663C2214yes—
91#2663C2214yes—
92#2660C2212yes—
93#2654C2214yes—
94#2653C2214yes—
95#2653C2214yes—
96#2652C2214yes—
97#2651C2214yes—
98#2651C2214yes—
99#2650C2214yes—
100#2650C2214yes—
101#2649C2214yes—
102#2645C2212yes—
103#2645C2212yes—
104#2644C2212yes—
105#2641C2212yes—
106#2640C2212yes—
107#2640C2212yes—
108#2628C2212yes—
109#2625C2212yes—
110#2620C2212yes—
111#2609C2214yes—
112#2604C2214yes—
113#2604C2214yes—
114#2599C2214yes—
115#2599C2214yes—
116#2597C2214yes—
117#2592C2212yes—
118#2589C2214yes—
119#2582C2212yes—
120#2582C2212yes—
121#2581C2212yes—
122#2581C2214yes—
123#2580C2212yes—
124#2568C2211yescharacteristic
125#2568C2212yes—
126#2567C2212yes—
127#2567C2212yes—
128#2567C2212yes—
129#2563C2212yes—
130#2560C2212yes—
131#2559C2212yes—
132#2558C2212yes—
133#2557C2212yes—
134#2556C2214yes—
135#2552C2211yescharacteristic
136#2552C2212yes—
137#2551C2211yescharacteristic
138#2550C2212yes—
139#2547C2211yescharacteristic
140#2546C2211yescharacteristic
141#2544C2212yes—
142#2542C2211yescharacteristic
143#2542C2212yes—
144#2538C2211yescharacteristic
145#2538C2212yes—
146#2538C2211yescharacteristic
147#2536C2212yes—
148#2532C2214yes—
149#2528C2214yes—
150#2525C2214yes—
151#2523C2214yes—
152#2518C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2513C2212yes—
156#2513C2212yes—
157#2512C2211yescharacteristic
158#2511C2214yes—
159#2511C2212yes—
160#2509C2212yes—
161#2508C2212yes—
162#2507C2214yes—
163#2507C2212yes—
164#2506C2211yescharacteristic
165#2506C2212yes—
166#2500C2214yes—
167#2499C2214yes—
168#2499C2212yes—
169#2497C2212yes—
170#2496C2211yescharacteristic
171#2495C2212yes—
172#2495C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2492C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2491C2211yescharacteristic
179#2490C2212yes—
180#2489C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2478C2214yes—
185#2477C2214yes—
186#2476C2214yes—
187#2475C2214yes—
188#2474C2214yes—
189#2470C2214yes—
190#2469C2214yes—
191#2465C2214yes—
192#2465C2214yes—
193#2462C2214yes—
194#2462C2214yes—
195#2458C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2452C2211yescharacteristic
199#2452C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2448C2212yes—
203#2446C2212yes—
204#2445C2211yescharacteristic
205#2439C2212yes—
206#2439C2212yes—
207#2434C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2428C2211yescharacteristic
211#2426C2212yes—
212#2423C2212yes—
213#2422C2211yescharacteristic
214#2421C2212yes—
215#2421C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2409C2212yes—
225#2398C2212yes—
226#2396C2214yes—
227#2392C2212yes—
228#2373C2214yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2362C2214yes—
235#2362C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242#2347C2212yes—
243Q8×C22⋊C4C2212yes—
244#2336C2212yes—
245#2336C2212yes—
246#2332C2212yes—
247#2332C2212yes—
248#2331C2211yescharacteristic
249#2331C2211yescharacteristic
250#2331C2212yes—
251#2330C2212yes—
252#2330C2212yes—
253#2327C2211yescharacteristic
254#2327C2211yescharacteristic
255#2326C2212yes—
256#2324C2212yes—
257#2323C2212yes—
258#2323C2214yes—
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2320C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2314C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#127C2211yescharacteristic
276C4×#126C2214yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2298C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2290C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#556—28no—
301D4×Q8—28no—
302#533—28no—
303#533—48no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—48no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345#519—48no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#392C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2314yes—
716#384C2314yes—
717#384C2312yes—
718#383C2314yes—
719#383C2314yes—
720#383C2314yes—
721#383C2314yes—
722#383C2312yes—
723#383C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#381C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2314yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850#127—42no—
851#126—216no—
852#126—44no—
853#126—44no—
854#125—28no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—48no—
859#124—28no—
860#124—44no—
861#124—44no—
862#123—44no—
863#123—44no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—44no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878#121—24no—
879#121—44no—
880#121—42no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—48no—
890C4×Q8—48no—
891C4×Q8—48no—
892C4×Q8—42no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8#4118yes—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907#117—28no—
908#117—28no—
909#117—28no—
910#117—24no—
911#117—42no—
912#117—48no—
913#117—48no—
914#117—48no—
915#117—44no—
916#117—44no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C42—24no—
1038C2×C42—28no—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2414yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—28no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—432no—
1187C2×Q8C2×#4114yes—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4C2×#4114yes—
1335C4⋊C4C2×#4118yes—
1336C4⋊C42−1+414yes—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—28no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—22no—
1391C42—24no—
1392C42—24no—
1393C42—28no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—28no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—22no—
1404C42—44no—
1405C42—42no—
1406C42—41no—
1407C42—41no—
1408C42—42no—
1409C42—42no—
1410C42—41no—
1411C42—41no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42C2×#4114yes—
1421C42C2×#4118yes—
1422C42H(5,𝔽2)14yes—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23C2611yescharacteristic
1445Q8—28no—
1446Q8—416no—
1447Q8—44no—
1448Q8—48no—
1449Q8—48no—
1450Q8—84no—
1451Q8—84no—
1452Q8—88no—
1453D4—44no—
1454D4—44no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458D4—84no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—48no—
1544C2×C4—416no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—84no—
1551C2×C4C22×#4114yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4114yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×2−1+414yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—41no—
1584C22C23×#4111yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×2−1+411yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22C2×#58511yescharacteristic
1589C222−1+611yescharacteristic
1590C222−1+611yescharacteristic
1591C4—22no—
1592C4—24no—
1593C4—24no—
1594C4—22no—
1595C4—24no—
1596C4—22no—
1597C4—41no—
1598C4—44no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—42no—
1610C4—41no—
1611C4—41no—
1612C4—42no—
1613C4—42no—
1614C4—41no—
1615C4—44no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4#346014yes—
1622C4#351814yes—
1623C2—81no—
1624C2—82no—
1625C2—82no—
1626C2C2×#346011yescharacteristic
1627C2C2×#351811yescharacteristic
1628C2#6286111yescharacteristic
1629C2#6294211yescharacteristic
1630C2#6295311yescharacteristic
1631C2#6296011yescharacteristic
1632C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42867C2semidirect
2. #42851C2semidirect
3. #42766C2semidirect
4. #42714C2semidirect
5. #41889C2semidirect
6. #41787C2semidirect
7. #39801C2semidirect
8. #39763C2semidirect
9. #39727C2semidirect
10. #39626C2semidirect
11. #39596C2semidirect
12. #39293C2semidirect
13. #39167C2semidirect
14. #39156C2semidirect
15. #38984C2semidirect
16. #38940C2semidirect
18. #38240C2semidirect
19. #37593C2semidirect
20. #37572C2semidirect
21. #37112C2semidirect
22. #37065C2semidirect
23. #35665C2semidirect
24. #35663C2semidirect
25. #35291C2semidirect
26. #35208C2semidirect
27. #35201C2semidirect
28. #35194C2semidirect
29. #35184C2semidirect
30. #35162C2semidirect
31. #34929C2semidirect
33. #34311C2semidirect
34. C4×#556C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#428672
#428512
#427662
#427142
#418892
#417872
#398012
#397632
#397272
#396262
#395962
#392932
#391672
#391562
#389842
#389402
#382882
#382402
#375932
#375722
#371122
#370652
#356652
#356632
#352912
#352082
#352012
#351942
#351842
#351622
#349292
#349142
#343112
C4×#5562
#340852