Finite Group Databasebeta

← #7646452

Subgroups — #7646452

Order 512.

4301 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42865C212yesmaximal, complemented
2#42863C212yesmaximal, complemented
3#42610C212yesmaximal, complemented
4#42534C212yesmaximal, complemented
5#41302C214yesmaximal, complemented
6#41155C214yesmaximal, complemented
7#39682C212yesmaximal, complemented
8#39642C211yesmaximal, characteristic, complemented
9#39617C211yesmaximal, characteristic, complemented
10#39598C211yesmaximal, characteristic
11#39597C211yesmaximal, characteristic, complemented
12#39299C212yesmaximal, complemented
13#39183C211yesmaximal, characteristic, complemented
14#39157C211yesmaximal, characteristic, complemented
15#38977C211yesmaximal, characteristic, complemented
16#38932C211yesmaximal, characteristic
17#38272C212yesmaximal
18#38224C212yesmaximal, complemented
19#37592C212yesmaximal, complemented
20#37580C212yesmaximal, complemented
21#36912C214yesmaximal, complemented
22#36866C214yesmaximal, complemented
23#35645C212yesmaximal, complemented
24#35609C212yesmaximal, complemented
25#35284C211yesmaximal, characteristic, complemented
26#35239C212yesmaximal, complemented
27#35228C212yesmaximal, complemented
28#35208C211yesmaximal, characteristic, complemented
29#35203C212yesmaximal
30#35176C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic
33#34335C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2214yes—
45#2857C2211yescharacteristic
46#2855C2214yes—
47#2853C2214yes—
48#2851C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2836C2214yes—
52#2833C2214yes—
53#2802C2214yes—
54#2802C2214yes—
55#2793C2214yes—
56#2791C2214yes—
57#2783C2214yes—
58#2776C2214yes—
59#2771C2214yes—
60#2767C2214yes—
61#2765C2214yes—
62#2765C2214yes—
63#2764C2214yes—
64#2762C2214yes—
65#2755C2214yes—
66#2747C2214yes—
67#2744C2214yes—
68#2739C2214yes—
69#2726C2214yes—
70#2713C2214yes—
71#2713C2214yes—
72#2713C2214yes—
73#2713C2214yes—
74#2704C2214yes—
75#2702C2214yes—
76#2694C2214yes—
77#2690C2214yes—
78#2690C2214yes—
79#2689C2214yes—
80#2687C2214yes—
81#2683C2214yes—
82#2677C2214yes—
83#2677C2214yes—
84#2677C2214yes—
85#2667C2214yes—
86#2667C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2660C2212yes—
91#2655C2214yes—
92#2655C2214yes—
93#2655C2214yes—
94#2652C2214yes—
95#2650C2214yes—
96#2649C2214yes—
97#2647C2212yes—
98#2647C2212yes—
99#2647C2212yes—
100#2647C2212yes—
101#2645C2212yes—
102#2645C2212yes—
103#2637C2214yes—
104#2634C2214yes—
105#2629C2212yes—
106#2629C2212yes—
107#2628C2212yes—
108#2594C2214yes—
109#2590C2214yes—
110#2584C2212yes—
111#2582C2211yescharacteristic
112#2581C2212yes—
113#2578C2212yes—
114#2577C2212yes—
115#2576C2212yes—
116#2575C2214yes—
117#2575C2212yes—
118#2575C2214yes—
119#2574C2214yes—
120#2573C2214yes—
121#2571C2212yes—
122#2570C2212yes—
123#2570C2214yes—
124#2567C2211yescharacteristic
125#2567C2211yescharacteristic
126#2567C2211yescharacteristic
127#2565C2212yes—
128#2565C2212yes—
129#2563C2211yescharacteristic
130#2562C2212yes—
131#2558C2214yes—
132#2552C2211yescharacteristic
133#2552C2212yes—
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2212yes—
137#2552C2212yes—
138#2551C2212yes—
139#2550C2214yes—
140#2546C2212yes—
141#2542C2212yes—
142#2538C2212yes—
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2533C2214yes—
146#2531C2214yes—
147#2530C2214yes—
148#2528C2214yes—
149#2525C2214yes—
150#2524C2214yes—
151#2524C2214yes—
152#2522C2214yes—
153#2522C2214yes—
154#2520C2214yes—
155#2519C2214yes—
156#2514C2211yescharacteristic
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2508C2211yescharacteristic
163#2508C2214yes—
164#2508C2212yes—
165#2508C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2503C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2495C2212yes—
180#2495C2211yescharacteristic
181#2494C2212yes—
182#2494C2212yes—
183#2493C2214yes—
184#2492C2212yes—
185#2489C2212yes—
186#2489C2211yescharacteristic
187#2489C2212yes—
188#2488C2214yes—
189#2486C2212yes—
190#2479C2214yes—
191#2475C2214yes—
192#2462C2214yes—
193#2454C2211yescharacteristic
194#2454C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2447C2212yes—
198#2447C2211yescharacteristic
199#2446C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2438C2214yes—
208#2438C2214yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2214yes—
213#2427C2211yescharacteristic
214#2423C2212yes—
215#2423C2212yes—
216#2423C2214yes—
217#2423C2212yes—
218#2423C2212yes—
219#2422C2212yes—
220#2420C2211yescharacteristic
221#2417C2212yes—
222#2401C2212yes—
223#2396C2214yes—
224#2395C2212yes—
225#2370C2212yes—
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2368C2214yes—
230#2365C2212yes—
231#2365C2214yes—
232#2360C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2351C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240#2345C2212yes—
241#2336C2212yes—
242#2336C2212yes—
243#2332C2212yes—
244#2332C2212yes—
245#2331C2214yes—
246#2331C2212yes—
247#2331C2211yescharacteristic
248#2331C2211yescharacteristic
249#2330C2212yes—
250#2330C2212yes—
251#2330C2212yes—
252#2330C2212yes—
253#2330C2212yes—
254#2327C2211yescharacteristic
255#2327C2211yescharacteristic
256#2326C2212yes—
257#2324C2212yes—
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2212yes—
263#2320C2212yes—
264#2319C2212yes—
265#2319C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2298C2212yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2293C2212yes—
288#2290C2212yes—
289#2285C2212yes—
290#2283C2211yescharacteristic
291#2283C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299Q82—28no—
300#554—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2314yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2314yes—
366#401C2312yes—
367#401C2314yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#393C2314yes—
469#393C2314yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2312yes—
691#384C2312yes—
692#383C2314yes—
693#383C2312yes—
694#383C2312yes—
695#383C2312yes—
696#383C2314yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—216no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839C4⋊Q8—82no—
840#126—84no—
841#125—28no—
842#125—28no—
843#125—24no—
844#125—28no—
845#125—44no—
846#125—44no—
847#125—84no—
848#125—84no—
849#125—84no—
850#124—24no—
851#123—84no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—24no—
855C22⋊Q8—28no—
856C22⋊Q8—216no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—84no—
860C22⋊Q8—84no—
861C22⋊Q8—84no—
862C22⋊Q8—82no—
863C22⋊Q8—82no—
864#121—24no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—82no—
876C4×Q8—82no—
877C4×Q8—84no—
878C4×Q8#4118yes—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—44no—
885#117—28no—
886#117—24no—
887#117—42no—
888#117—84no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—24no—
1005C2×C42—28no—
1006C2×C42—84no—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2511yescharacteristic
1141C24C2512yes—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—28no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8C2×#4114yes—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D42−1+414yes—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—44no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C4⋊C42−1+414yes—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—28no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—42no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—42no—
1369C42—41no—
1370C42—41no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—41no—
1376C42—41no—
1377C42C2×#4114yes—
1378C42C2×#4118yes—
1379C422−1+414yes—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23C2×2−1+414yes—
1394C23C2611yescharacteristic
1395Q8—28no—
1396Q8—44no—
1397Q8—44no—
1398Q8—84no—
1399Q8—88no—
1400Q8—84no—
1401Q8—84no—
1402D4—28no—
1403D4—84no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—48no—
1492C2×C4—48no—
1493C2×C4—48no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—88no—
1497C2×C4—82no—
1498C2×C4—88no—
1499C2×C4C22×#4114yes—
1500C2×C4C22×#4112yes—
1501C2×C4C22×#4114yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+414yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4#58512yes—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22C23×#4111yescharacteristic
1526C22C22×2−1+411yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22H(7,𝔽2)11yescharacteristic
1531C22H(7,𝔽2)11yescharacteristic
1532C4—24no—
1533C4—22no—
1534C4—24no—
1535C4—22no—
1536C4—22no—
1537C4—24no—
1538C4—41no—
1539C4—42no—
1540C4—44no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—44no—
1563C4#346114yes—
1564C4#352314yes—
1565C2—44no—
1566C2—81no—
1567C2C2×#346111yescharacteristic
1568C2C2×#352311yescharacteristic
1569C2#6285811yescharacteristic
1570C2#6294511yescharacteristic
1571C2#6294511yescharacteristic
1572C2#6295111yescharacteristic
1573C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42865C2semidirect
2. #42863C2semidirect
3. #42610C2semidirect
4. #42534C2semidirect
5. #41302C2semidirect
6. #41155C2semidirect
7. #39682C2semidirect
8. #39642C2semidirect
9. #39617C2semidirect
11. #39597C2semidirect
12. #39299C2semidirect
13. #39183C2semidirect
14. #39157C2semidirect
15. #38977C2semidirect
18. #38224C2semidirect
19. #37592C2semidirect
20. #37580C2semidirect
21. #36912C2semidirect
22. #36866C2semidirect
23. #35645C2semidirect
24. #35609C2semidirect
25. #35284C2semidirect
26. #35239C2semidirect
27. #35228C2semidirect
28. #35208C2semidirect
30. #35176C2semidirect
31. #34941C2semidirect
33. #34335C2semidirect
34. C4×#554C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#428652
#428632
#426102
#425342
#413022
#411552
#396822
#396422
#396172
#395982
#395972
#392992
#391832
#391572
#389772
#389322
#382722
#382242
#375922
#375802
#369122
#368662
#356452
#356092
#352842
#352392
#352282
#352082
#352032
#351762
#349412
#349132
#343352
C4×#5542
#340852