Finite Group Databasebeta

← #7654489

Subgroups — #7654489

Order 512.

4344 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42747C212yesmaximal, complemented
2#42744C212yesmaximal, complemented
3#41856C214yesmaximal, complemented
4#41363C214yesmaximal, complemented
5#40080C212yesmaximal, complemented
6#39497C211yesmaximal, characteristic, complemented
7#39112C214yesmaximal, complemented
8#39078C212yesmaximal, complemented
9#39047C212yesmaximal, complemented
10#39008C212yesmaximal
11#38954C211yesmaximal, characteristic, complemented
12#38923C211yesmaximal, characteristic
13#38911C211yesmaximal, characteristic
14#38794C214yesmaximal, complemented
15#38251C212yesmaximal, complemented
16#37947C212yesmaximal, complemented
17#37630C211yesmaximal, characteristic, complemented
18#37522C212yesmaximal, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36598C211yesmaximal, characteristic, complemented
21#36554C212yesmaximal, complemented
22#36313C211yesmaximal, characteristic, complemented
23#36283C212yesmaximal, complemented
24#36177C211yesmaximal, characteristic, complemented
25#35973C212yesmaximal, complemented
26#35885C212yesmaximal
27#35313C212yesmaximal, complemented
28#35283C211yesmaximal, characteristic, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35016C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34803C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2864C2212yes—
41#2863C2212yes—
42#2863C2214yes—
43#2863C2212yes—
44#2863C2214yes—
45#2862C2211yescharacteristic
46#2862C2212yes—
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2839C2214yes—
52#2839C2214yes—
53#2839C2214yes—
54#2799C2214yes—
55#2790C2214yes—
56#2789C2214yes—
57#2776C2214yes—
58#2770C2214yes—
59#2770C2214yes—
60#2769C2214yes—
61#2764C2214yes—
62#2762C2214yes—
63#2758C2214yes—
64#2746C2214yes—
65#2745C2214yes—
66#2744C2214yes—
67#2744C2214yes—
68#2743C2214yes—
69#2739C2214yes—
70#2729C2214yes—
71#2722C2214yes—
72#2698C2214yes—
73#2698C2214yes—
74#2695C2214yes—
75#2690C2214yes—
76#2689C2214yes—
77#2687C2214yes—
78#2666C2214yes—
79#2665C2214yes—
80#2655C2214yes—
81#2655C2214yes—
82#2652C2214yes—
83#2652C2214yes—
84#2652C2214yes—
85#2652C2214yes—
86#2647C2212yes—
87#2647C2212yes—
88#2645C2212yes—
89#2645C2212yes—
90#2645C2214yes—
91#2645C2214yes—
92#2642C2212yes—
93#2629C2212yes—
94#2628C2212yes—
95#2625C2212yes—
96#2625C2212yes—
97#2621C2212yes—
98#2606C2214yes—
99#2605C2214yes—
100#2590C2214yes—
101#2589C2214yes—
102#2586C2214yes—
103#2585C2214yes—
104#2585C2214yes—
105#2585C2214yes—
106#2582C2211yescharacteristic
107#2582C2211yescharacteristic
108#2578C2214yes—
109#2577C2214yes—
110#2576C2214yes—
111#2574C2214yes—
112#2573C2214yes—
113#2571C2211yescharacteristic
114#2571C2212yes—
115#2570C2214yes—
116#2569C2214yes—
117#2568C2211yescharacteristic
118#2568C2211yescharacteristic
119#2568C2212yes—
120#2566C2212yes—
121#2552C2211yescharacteristic
122#2550C2212yes—
123#2550C2212yes—
124#2547C2212yes—
125#2546C2211yescharacteristic
126#2546C2211yescharacteristic
127#2533C2214yes—
128#2533C2214yes—
129#2533C2212yes—
130#2530C2214yes—
131#2528C2212yes—
132#2528C2214yes—
133#2527C2214yes—
134#2527C2214yes—
135#2524C2214yes—
136#2524C2214yes—
137#2523C2214yes—
138#2522C2214yes—
139#2520C2214yes—
140#2520C2214yes—
141#2515C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2211yescharacteristic
149#2511C2212yes—
150#2511C2212yes—
151#2511C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2508C2212yes—
159#2507C2212yes—
160#2506C2211yescharacteristic
161#2505C2214yes—
162#2503C2212yes—
163#2499C2212yes—
164#2496C2211yescharacteristic
165#2493C2214yes—
166#2493C2214yes—
167#2493C2214yes—
168#2493C2214yes—
169#2493C2214yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2212yes—
173#2489C2211yescharacteristic
174#2485C2212yes—
175#2478C2212yes—
176#2475C2212yes—
177#2466C2214yes—
178#2462C2214yes—
179#2453C2212yes—
180#2453C2212yes—
181#2453C2212yes—
182#2453C2211yescharacteristic
183#2452C2212yes—
184#2451C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2450C2214yes—
189#2447C2212yes—
190#2447C2212yes—
191#2447C2212yes—
192#2446C2211yescharacteristic
193#2446C2212yes—
194#2446C2212yes—
195#2446C2214yes—
196#2446C2212yes—
197#2446C2212yes—
198#2442C2212yes—
199#2440C2212yes—
200#2439C2212yes—
201#2434C2212yes—
202#2429C2212yes—
203#2429C2211yescharacteristic
204#2427C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2421C2214yes—
208#2421C2211yescharacteristic
209#2420C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2409C2212yes—
213#2402C2212yes—
214#2401C2212yes—
215#2401C2214yes—
216#2398C2214yes—
217#2373C2212yes—
218#2373C2212yes—
219#2373C2214yes—
220#2370C2211yescharacteristic
221#2370C2211yescharacteristic
222#2370C2212yes—
223#2369C2212yes—
224#2368C2214yes—
225#2367C2212yes—
226#2367C2211yescharacteristic
227#2367C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2362C2212yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2360C2212yes—
236#2360C2212yes—
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2359C2212yes—
240#2359C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2354C2211yescharacteristic
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yes—
251#2345C2212yes—
252Q8×C22⋊C4C2212yes—
253#2331C2212yes—
254#2331C2212yes—
255#2329C2214yes—
256#2329C2214yes—
257#2327C2212yes—
258#2320C2212yes—
259#2318C2214yes—
260#2317C2212yes—
261#2316C2212yes—
262#2314C2212yes—
263#2310C2212yes—
264#2310C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#126C2212yes—
272C4×#126C2214yes—
273C4×#126C2214yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2214yes—
286C2×#391C2212yes—
287#2293C2211yescharacteristic
288#2290C2212yes—
289#2283C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300#556—28no—
301D4×Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2312yes—
364C22×C42C2312yes—
365#401C2314yes—
366#401C2312yes—
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
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#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
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#398C2312yes—
432#398C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#391C2311yescharacteristic
462#391C2314yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2314yes—
684#383C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798#376C2312yes—
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804#376C2311yescharacteristic
805C2×#95C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—42no—
844#126—28no—
845#126—216no—
846#126—28no—
847#125—24no—
848#125—42no—
849#125—44no—
850#125—44no—
851#124—24no—
852#124—28no—
853#123—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—216no—
858C22⋊Q8—48no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863#121—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4#4118yes—
885#117—28no—
886#117—28no—
887#117—24no—
888#117—44no—
889#117—42no—
890#117—44no—
891C2×C4⋊C4—24no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—42no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C42—24no—
1000C2×C42—44no—
1001C2×C42—44no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2414yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
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—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—28no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—28no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—816no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—42no—
1170C2×D4C2×#4114yes—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—28no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4C2×#4118yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
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—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4C2×#4114yes—
1311C4⋊C42−1+414yes—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—22no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—22no—
1325C22⋊C4—24no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—41no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4C2×#4118yes—
1338C22⋊C42−1+414yes—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—28no—
1344C42—24no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—28no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—41no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—42no—
1380C42—42no—
1381C42C2×#4114yes—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—21no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—22no—
1393C23—22no—
1394C23C22×#4114yes—
1395C23C2×2−1+412yes—
1396C23C2611yescharacteristic
1397Q8—44no—
1398Q8—48no—
1399Q8—44no—
1400Q8—48no—
1401Q8—44no—
1402Q8—88no—
1403Q8—88no—
1404D4—28no—
1405D4—48no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—216no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—84no—
1500C2×C4—84no—
1501C2×C4—88no—
1502C2×C4—164no—
1503C2×C4C22×#4114yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+414yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C2×C4#58512yes—
1514C2×C4#58512yes—
1515C22—22no—
1516C22—22no—
1517C22—24no—
1518C22—22no—
1519C22—24no—
1520C22—24no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—41no—
1529C22C23×#4111yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22C2×#58511yescharacteristic
1536C4—24no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—24no—
1541C4—22no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—44no—
1553C4—44no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4—44no—
1567C4#346114yes—
1568C4#352114yes—
1569C2—42no—
1570C2—44no—
1571C2C2×#346111yescharacteristic
1572C2C2×#352111yescharacteristic
1573C2#6280511yescharacteristic
1574C2#6302511yescharacteristic
1575C2#6302511yescharacteristic
1576C2#6303011yescharacteristic
1577C2#6303211yescharacteristic
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. #42747C2semidirect
2. #42744C2semidirect
3. #41856C2semidirect
4. #41363C2semidirect
5. #40080C2semidirect
6. #39497C2semidirect
7. #39112C2semidirect
8. #39078C2semidirect
9. #39047C2semidirect
11. #38954C2semidirect
14. #38794C2semidirect
15. #38251C2semidirect
16. #37947C2semidirect
17. #37630C2semidirect
18. #37522C2semidirect
19. #36599C2semidirect
20. #36598C2semidirect
21. #36554C2semidirect
22. #36313C2semidirect
23. #36283C2semidirect
24. #36177C2semidirect
25. #35973C2semidirect
27. #35313C2semidirect
28. #35283C2semidirect
29. #35187C2semidirect
30. #35016C2semidirect
31. #34975C2semidirect
32. #34803C2semidirect
33. #34334C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#427472
#427442
#418562
#413632
#400802
#394972
#391122
#390782
#390472
#390082
#389542
#389232
#389112
#387942
#382512
#379472
#376302
#375222
#365992
#365982
#365542
#363132
#362832
#361772
#359732
#358852
#353132
#352832
#351872
#350162
#349752
#348032
#343342
C4×#5562
#341532