Finite Group Databasebeta

← #7646622

Subgroups — #7646622

Order 512.

4689 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42769C212yesmaximal, complemented
2#42763C212yesmaximal, complemented
3#42749C212yesmaximal, complemented
4#42706C212yesmaximal, complemented
5#41880C214yesmaximal, complemented
6#41773C214yesmaximal, complemented
7#39565C212yesmaximal, complemented
8#39513C211yesmaximal, characteristic, complemented
9#39488C211yesmaximal, characteristic, complemented
10#39471C211yesmaximal, characteristic
11#39468C211yesmaximal, characteristic, complemented
12#39194C211yesmaximal, characteristic, complemented
13#39156C211yesmaximal, characteristic, complemented
14#39057C212yesmaximal, complemented
15#38966C211yesmaximal, characteristic, complemented
16#38933C211yesmaximal, characteristic, complemented
17#37971C212yesmaximal, complemented
18#37937C212yesmaximal, complemented
19#37512C212yesmaximal, complemented
20#37508C212yesmaximal, complemented
21#37081C214yesmaximal, complemented
22#37070C214yesmaximal, complemented
23#35646C212yesmaximal, complemented
24#35638C212yesmaximal, complemented
25#35319C211yesmaximal, characteristic, complemented
26#35231C212yesmaximal, complemented
27#35211C212yesmaximal, complemented
28#35206C211yesmaximal, characteristic, complemented
29#35205C212yesmaximal, complemented
30#35160C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34086C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2212yes—
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2852C2214yes—
48#2852C2214yes—
49#2852C2214yes—
50#2851C2212yes—
51#2851C2214yes—
52#2831C2214yes—
53#2829C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2797C2214yes—
59#2793C2214yes—
60#2793C2214yes—
61#2793C2214yes—
62#2790C2214yes—
63#2781C2214yes—
64#2778C2214yes—
65#2777C2214yes—
66#2768C2214yes—
67#2768C2214yes—
68#2767C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2761C2214yes—
72#2761C2214yes—
73#2755C2214yes—
74#2754C2214yes—
75#2753C2214yes—
76#2750C2214yes—
77#2749C2214yes—
78#2743C2214yes—
79#2740C2214yes—
80#2740C2214yes—
81#2738C2214yes—
82#2718C2214yes—
83#2718C2214yes—
84#2715C2214yes—
85#2710C2214yes—
86#2703C2214yes—
87#2691C2214yes—
88#2655C2214yes—
89#2654C2214yes—
90#2654C2214yes—
91#2652C2214yes—
92#2651C2214yes—
93#2648C2214yes—
94#2648C2214yes—
95#2647C2212yes—
96#2644C2212yes—
97#2643C2214yes—
98#2643C2214yes—
99#2642C2212yes—
100#2636C2214yes—
101#2633C2214yes—
102#2630C2214yes—
103#2630C2214yes—
104#2629C2212yes—
105#2629C2212yes—
106#2624C2212yes—
107#2621C2212yes—
108#2620C2212yes—
109#2616C2212yes—
110#2615C2212yes—
111#2611C2214yes—
112#2609C2214yes—
113#2609C2214yes—
114#2603C2214yes—
115#2601C2214yes—
116#2600C2214yes—
117#2600C2214yes—
118#2578C2212yes—
119#2577C2214yes—
120#2577C2212yes—
121#2576C2212yes—
122#2575C2212yes—
123#2574C2214yes—
124#2568C2211yescharacteristic
125#2566C2214yes—
126#2566C2212yes—
127#2565C2212yes—
128#2558C2214yes—
129#2554C2214yes—
130#2553C2214yes—
131#2552C2212yes—
132#2552C2211yescharacteristic
133#2552C2211yescharacteristic
134#2547C2211yescharacteristic
135#2547C2211yescharacteristic
136#2545C2212yes—
137#2545C2212yes—
138#2544C2212yes—
139#2542C2211yescharacteristic
140#2540C2212yes—
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2537C2211yescharacteristic
144#2528C2214yes—
145#2527C2214yes—
146#2524C2214yes—
147#2520C2214yes—
148#2519C2214yes—
149#2515C2214yes—
150#2515C2214yes—
151#2514C2212yes—
152#2514C2214yes—
153#2514C2211yescharacteristic
154#2513C2214yes—
155#2512C2214yes—
156#2511C2214yes—
157#2511C2212yes—
158#2510C2214yes—
159#2508C2212yes—
160#2508C2211yescharacteristic
161#2506C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2505C2214yes—
166#2502C2212yes—
167#2500C2212yes—
168#2500C2212yes—
169#2499C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2211yescharacteristic
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2492C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2489C2211yescharacteristic
189#2489C2212yes—
190#2487C2212yes—
191#2485C2212yes—
192#2479C2214yes—
193#2475C2214yes—
194#2467C2214yes—
195#2460C2214yes—
196#2454C2212yes—
197#2454C2211yescharacteristic
198#2451C2212yes—
199#2447C2212yes—
200#2447C2211yescharacteristic
201#2446C2212yes—
202#2446C2212yes—
203#2442C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2432C2212yes—
207#2432C2212yes—
208#2431C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2427C2211yescharacteristic
214#2426C2212yes—
215#2426C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2422C2212yes—
219#2421C2212yes—
220#2420C2211yescharacteristic
221#2417C2212yes—
222#2415C2212yes—
223#2414C2212yes—
224#2407C2212yes—
225#2401C2212yes—
226#2395C2212yes—
227#2395C2214yes—
228#2373C2214yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2362C2212yes—
233#2362C2212yes—
234#2361C2212yes—
235#2359C2214yes—
236#2355C2212yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2346C2212yes—
242#2344C2212yes—
243#2339C2212yes—
244#2337C2212yes—
245#2337C2212yes—
246#2334C2214yes—
247#2333C2212yes—
248#2333C2212yes—
249#2331C2211yescharacteristic
250#2331C2211yescharacteristic
251#2330C2212yes—
252#2328C2211yescharacteristic
253#2328C2211yescharacteristic
254#2327C2212yes—
255#2326C2212yes—
256#2326C2212yes—
257#2324C2211yescharacteristic
258#2324C2211yescharacteristic
259#2324C2211yescharacteristic
260#2324C2211yescharacteristic
261#2323C2212yes—
262#2320C2212yes—
263#2320C2212yes—
264#2317C2212yes—
265#2317C2212yes—
266#2314C2212yes—
267#2311C2212yes—
268#2311C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2214yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2276C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#547—28no—
303#541—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C4×#41—48no—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2314yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383#401C2312yes—
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2311yescharacteristic
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2312yes—
708#383C2312yes—
709#383C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2314yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#127—24no—
856#126—216no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—44no—
861#125—42no—
862#125—44no—
863#125—48no—
864#125—44no—
865#125—48no—
866#124—28no—
867#124—28no—
868#124—42no—
869#124—44no—
870#124—44no—
871#123—216no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881#121—24no—
882#121—28no—
883#121—24no—
884#121—28no—
885#121—44no—
886#121—42no—
887#121—44no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—42no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4#4118yes—
910#117—28no—
911#117—24no—
912#117—44no—
913#117—44no—
914#117—42no—
915#117—48no—
916#117—48no—
917#117—44no—
918#117—44no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—48no—
1046C2×C42—44no—
1047C2×C42—44no—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
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—
1160#95C2414yes—
1161C24C2512yes—
1162C24C2512yes—
1163C24C2511yescharacteristic
1164C24C2512yes—
1165#41—432no—
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4C2×#4114yes—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4C2×#4118yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4C2×#4114yes—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4C2×#4118yes—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—28no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—28no—
1413C42—22no—
1414C42—28no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42—41no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42C2×#4114yes—
1438C42H(5,𝔽2)14yes—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23C22×#4114yes—
1467C23C2611yescharacteristic
1468Q8—48no—
1469Q8—48no—
1470Q8—44no—
1471Q8—84no—
1472D4—28no—
1473D4—416no—
1474D4—44no—
1475D4—44no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—88no—
1481D4—84no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—216no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—416no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—82no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4C22×#4114yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22C23×#4111yescharacteristic
1618C22C22×H(5,𝔽2)11yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C222−1+611yescharacteristic
1623C222−1+611yescharacteristic
1624C4—24no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—44no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4#346014yes—
1654C4#352114yes—
1655C2—44no—
1656C2—81no—
1657C2—82no—
1658C2—82no—
1659C2C2×#346011yescharacteristic
1660C2C2×#352111yescharacteristic
1661C2#6286111yescharacteristic
1662C2#6292511yescharacteristic
1663C2#6292511yescharacteristic
1664C2#6293611yescharacteristic
1665C2#6293911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39471C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42769C2semidirect
2. #42763C2semidirect
3. #42749C2semidirect
4. #42706C2semidirect
5. #41880C2semidirect
6. #41773C2semidirect
7. #39565C2semidirect
8. #39513C2semidirect
9. #39488C2semidirect
11. #39468C2semidirect
12. #39194C2semidirect
13. #39156C2semidirect
14. #39057C2semidirect
15. #38966C2semidirect
16. #38933C2semidirect
17. #37971C2semidirect
18. #37937C2semidirect
19. #37512C2semidirect
20. #37508C2semidirect
21. #37081C2semidirect
22. #37070C2semidirect
23. #35646C2semidirect
24. #35638C2semidirect
25. #35319C2semidirect
26. #35231C2semidirect
27. #35211C2semidirect
28. #35206C2semidirect
29. #35205C2semidirect
30. #35160C2semidirect
31. #34932C2semidirect
32. #34913C2semidirect
33. #34324C2semidirect
34. C4×#547C2semidirect
35. #34086C2semidirect

Maximal subgroups

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

subgroupindex
#427692
#427632
#427492
#427062
#418802
#417732
#395652
#395132
#394882
#394712
#394682
#391942
#391562
#390572
#389662
#389332
#379712
#379372
#375122
#375082
#370812
#370702
#356462
#356382
#353192
#352312
#352112
#352062
#352052
#351602
#349322
#349132
#343242
C4×#5472
#340862