Finite Group Databasebeta

← #7732070

Subgroups — #7732070

Order 512.

4324 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48008C214yesmaximal, complemented
2#48006C214yesmaximal, complemented
3#47739C214yesmaximal, complemented
4#47738C214yesmaximal, complemented
5#45147C212yesmaximal
6#45145C212yesmaximal, complemented
7#45119C212yesmaximal, complemented
8#44905C212yesmaximal
9#39801C212yesmaximal, complemented
10#39800C212yesmaximal, complemented
11#39754C212yesmaximal, complemented
12#39749C212yesmaximal, complemented
13#39691C212yesmaximal, complemented
14#39642C211yesmaximal, characteristic, complemented
15#39514C211yesmaximal, characteristic, complemented
16#39293C212yesmaximal, complemented
17#39203C211yesmaximal, characteristic, complemented
18#38986C211yesmaximal, characteristic, complemented
19#38273C212yesmaximal, complemented
20#37981C212yesmaximal, complemented
21#37632C211yesmaximal, characteristic
22#37369C212yesmaximal, complemented
23#37364C212yesmaximal, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36476C211yesmaximal, characteristic, complemented
26#36286C211yesmaximal, characteristic, complemented
27#36194C211yesmaximal, characteristic, complemented
28#35613C212yesmaximal, complemented
29#35599C212yesmaximal, complemented
30#35281C211yesmaximal, characteristic, complemented
31#35201C211yesmaximal, characteristic
32#34912C211yesmaximal, characteristic, complemented
33#34394C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2868C2211yescharacteristic
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2862C2211yescharacteristic
44#2861C2212yes—
45#2859C2212yes—
46#2859C2212yes—
47#2857C2212yes—
48#2855C2212yes—
49#2821C2214yes—
50#2809C2214yes—
51#2806C2214yes—
52#2805C2214yes—
53#2802C2214yes—
54#2802C2214yes—
55#2798C2214yes—
56#2789C2214yes—
57#2788C2214yes—
58#2787C2214yes—
59#2783C2214yes—
60#2777C2214yes—
61#2777C2214yes—
62#2775C2214yes—
63#2774C2214yes—
64#2774C2214yes—
65#2774C2214yes—
66#2773C2214yes—
67#2768C2214yes—
68#2767C2214yes—
69#2766C2214yes—
70#2759C2214yes—
71#2758C2214yes—
72#2758C2214yes—
73#2754C2214yes—
74#2745C2214yes—
75#2745C2214yes—
76#2744C2214yes—
77#2739C2214yes—
78#2738C2214yes—
79#2738C2214yes—
80#2726C2214yes—
81#2716C2214yes—
82#2716C2214yes—
83#2713C2214yes—
84#2713C2214yes—
85#2707C2214yes—
86#2695C2214yes—
87#2694C2214yes—
88#2689C2214yes—
89#2687C2214yes—
90#2663C2214yes—
91#2660C2212yes—
92#2660C2212yes—
93#2660C2212yes—
94#2647C2212yes—
95#2645C2212yes—
96#2640C2212yes—
97#2629C2212yes—
98#2628C2212yes—
99#2628C2212yes—
100#2625C2212yes—
101#2614C2214yes—
102#2611C2214yes—
103#2608C2212yes—
104#2607C2212yes—
105#2607C2214yes—
106#2606C2212yes—
107#2605C2212yes—
108#2605C2214yes—
109#2604C2214yes—
110#2604C2214yes—
111#2604C2214yes—
112#2599C2214yes—
113#2594C2214yes—
114#2590C2214yes—
115#2590C2214yes—
116#2590C2214yes—
117#2589C2214yes—
118#2588C2214yes—
119#2584C2214yes—
120#2582C2212yes—
121#2581C2212yes—
122#2581C2214yes—
123#2580C2212yes—
124#2577C2214yes—
125#2575C2214yes—
126#2573C2214yes—
127#2571C2212yes—
128#2571C2212yes—
129#2571C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2211yescharacteristic
137#2570C2211yescharacteristic
138#2568C2211yescharacteristic
139#2567C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2212yes—
142#2567C2212yes—
143#2567C2211yescharacteristic
144#2563C2211yescharacteristic
145#2563C2211yescharacteristic
146#2563C2211yescharacteristic
147#2558C2214yes—
148#2556C2214yes—
149#2553C2214yes—
150#2552C2212yes—
151#2552C2212yes—
152#2552C2212yes—
153#2550C2211yescharacteristic
154#2550C2211yescharacteristic
155#2550C2214yes—
156#2546C2212yes—
157#2546C2212yes—
158#2542C2211yescharacteristic
159#2538C2212yes—
160#2533C2214yes—
161#2533C2214yes—
162#2532C2214yes—
163#2528C2214yes—
164#2527C2214yes—
165#2519C2214yes—
166#2515C2214yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2511C2212yes—
177#2508C2214yes—
178#2507C2212yes—
179#2507C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2503C2212yes—
183#2502C2212yes—
184#2502C2212yes—
185#2501C2212yes—
186#2500C2212yes—
187#2499C2212yes—
188#2497C2212yes—
189#2497C2212yes—
190#2496C2212yes—
191#2496C2212yes—
192#2492C2212yes—
193#2492C2214yes—
194#2489C2212yes—
195#2486C2212yes—
196#2486C2212yes—
197#2478C2214yes—
198#2470C2214yes—
199#2469C2214yes—
200#2465C2214yes—
201#2462C2214yes—
202#2462C2214yes—
203#2458C2214yes—
204#2453C2212yes—
205#2453C2214yes—
206#2451C2212yes—
207#2451C2214yes—
208#2441C2211yescharacteristic
209#2441C2211yescharacteristic
210#2439C2211yescharacteristic
211#2439C2211yescharacteristic
212#2439C2214yes—
213#2434C2212yes—
214#2434C2212yes—
215#2423C2212yes—
216#2421C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2396C2212yes—
220#2396C2212yes—
221#2378C2214yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2357C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2354C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2212yes—
242#2347C2212yes—
243#2346C2212yes—
244#2345C2212yes—
245#2345C2212yes—
246Q8×C22⋊C4C2214yes—
247#2335C2212yes—
248#2335C2212yes—
249#2334C2212yes—
250#2334C2212yes—
251#2331C2214yes—
252#2330C2212yes—
253#2330C2211yescharacteristic
254#2330C2211yescharacteristic
255#2330C2212yes—
256#2330C2212yes—
257#2326C2211yescharacteristic
258#2326C2211yescharacteristic
259#2324C2211yescharacteristic
260#2324C2211yescharacteristic
261#2323C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2211yescharacteristic
266#2323C2211yescharacteristic
267#2323C2212yes—
268#2320C2212yes—
269#2320C2214yes—
270#2317C2212yes—
271#2317C2212yes—
272#2316C2212yes—
273#2314C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#533—28no—
301C2×C4⋊Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366#401C2314yes—
367#401C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2312yes—
433#396C2314yes—
434#396C2312yes—
435#396C2312yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2312yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2312yes—
461#393C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2314yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—82no—
815C22×Q8—82no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—42no—
842C4⋊Q8—82no—
843C4⋊Q8—82no—
844C4⋊Q8—82no—
845C4⋊Q8—82no—
846#126—28no—
847#126—84no—
848#126—84no—
849#125—24no—
850#125—24no—
851#125—28no—
852#125—42no—
853#125—84no—
854#125—84no—
855#125—84no—
856#124—24no—
857#123—28no—
858#123—84no—
859#123—84no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866#121—24no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—84no—
877C4×Q8—84no—
878C4×Q8—84no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—24no—
883#117—28no—
884#117—24no—
885#117—28no—
886#117—24no—
887#117—24no—
888#117—44no—
889#117—44no—
890#117—42no—
891#117—84no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—44no—
1011C2×C42#4118yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—28no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—816no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4C2×#4114yes—
1194C22×C4C2×#4114yes—
1195C22×C4C2×#4114yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
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—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C42−1+414yes—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—24no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—42no—
1363C42—42no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—42no—
1370C42—44no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—42no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42C2×#4114yes—
1382C42C2×#4114yes—
1383C42C2×#4114yes—
1384C42C2×#4114yes—
1385C422−1+414yes—
1386C422−1+414yes—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23C22×#4112yes—
1401C23C2611yescharacteristic
1402Q8—48no—
1403Q8—416no—
1404Q8—48no—
1405Q8—44no—
1406Q8—84no—
1407Q8—84no—
1408Q8—84no—
1409Q8—84no—
1410D4—44no—
1411D4—84no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—44no—
1499C2×C4—48no—
1500C2×C4—48no—
1501C2×C4—84no—
1502C2×C4—88no—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+414yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4#58512yes—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22C23×#4111yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C22×2−1+411yescharacteristic
1536C22C2×#58511yescharacteristic
1537C22H(7,𝔽2)11yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—22no—
1548C4—42no—
1549C4—44no—
1550C4—42no—
1551C4—44no—
1552C4—44no—
1553C4—42no—
1554C4—44no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4#350714yes—
1571C4#350914yes—
1572C2—42no—
1573C2—82no—
1574C2C2×#350711yescharacteristic
1575C2C2×#350911yescharacteristic
1576C2#6285511yescharacteristic
1577C2#6292611yescharacteristic
1578C2#6292911yescharacteristic
1579C2#6294311yescharacteristic
1580C2#6294511yescharacteristic
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. #48008C2semidirect
2. #48006C2semidirect
3. #47739C2semidirect
4. #47738C2semidirect
6. #45145C2semidirect
7. #45119C2semidirect
9. #39801C2semidirect
10. #39800C2semidirect
11. #39754C2semidirect
12. #39749C2semidirect
13. #39691C2semidirect
14. #39642C2semidirect
15. #39514C2semidirect
16. #39293C2semidirect
17. #39203C2semidirect
18. #38986C2semidirect
19. #38273C2semidirect
20. #37981C2semidirect
22. #37369C2semidirect
23. #37364C2semidirect
24. #36563C2semidirect
25. #36476C2semidirect
26. #36286C2semidirect
27. #36194C2semidirect
28. #35613C2semidirect
29. #35599C2semidirect
30. #35281C2semidirect
32. #34912C2semidirect
33. #34394C2semidirect
34. #34216C2semidirect

Maximal subgroups

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

subgroupindex
#480082
#480062
#477392
#477382
#451472
#451452
#451192
#449052
#398012
#398002
#397542
#397492
#396912
#396422
#395142
#392932
#392032
#389862
#382732
#379812
#376322
#373692
#373642
#365632
#364762
#362862
#361942
#356132
#355992
#352812
#352012
#349122
#343942
#342162
#340842