Finite Group Databasebeta

← #7986118

Subgroups — #7986118

Order 512.

4443 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59768C212yesmaximal, complemented
2#59719C212yesmaximal, complemented
3#59435C211yesmaximal, characteristic, complemented
4#59245C211yesmaximal, characteristic, complemented
5#59243C211yesmaximal, characteristic, complemented
6#49542C214yesmaximal, complemented
7#49340C214yesmaximal, complemented
8#45644C214yesmaximal, complemented
9#45205C212yesmaximal, complemented
10#45202C212yesmaximal, complemented
11#45005C212yesmaximal, complemented
12#44900C212yesmaximal, complemented
13#42757C212yesmaximal, complemented
14#42742C212yesmaximal, complemented
15#42656C212yesmaximal, complemented
16#42654C212yesmaximal, complemented
17#39922C214yesmaximal, complemented
18#39608C211yesmaximal, characteristic, complemented
19#39561C212yesmaximal, complemented
20#39470C211yesmaximal, characteristic, complemented
21#39296C212yesmaximal, complemented
22#39157C211yesmaximal, characteristic, complemented
23#38921C211yesmaximal, characteristic, complemented
24#36407C211yesmaximal, characteristic, complemented
25#36299C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#36176C212yesmaximal, complemented
28#36173C212yesmaximal, complemented
29#35215C212yesmaximal, complemented
30#35160C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34889C211yesmaximal, characteristic
33#34383C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2863C2212yes—
40#2859C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yes—
44#2854C2214yes—
45#2852C2214yes—
46#2852C2214yes—
47#2827C2214yes—
48#2824C2214yes—
49#2810C2214yes—
50#2808C2214yes—
51#2803C2214yes—
52#2802C2214yes—
53#2798C2214yes—
54#2796C2214yes—
55#2796C2214yes—
56#2791C2214yes—
57#2788C2214yes—
58#2786C2214yes—
59#2783C2214yes—
60#2782C2214yes—
61#2775C2214yes—
62#2774C2214yes—
63#2773C2214yes—
64#2763C2214yes—
65#2762C2214yes—
66#2762C2214yes—
67#2759C2214yes—
68#2755C2214yes—
69#2752C2214yes—
70#2745C2214yes—
71#2743C2214yes—
72#2728C2214yes—
73#2723C2214yes—
74#2705C2214yes—
75#2700C2214yes—
76#2698C2214yes—
77#2692C2214yes—
78#2689C2214yes—
79#2687C2214yes—
80#2681C2214yes—
81#2680C2214yes—
82#2653C2214yes—
83#2652C2214yes—
84#2649C2214yes—
85#2648C2214yes—
86#2645C2212yes—
87#2643C2214yes—
88#2643C2214yes—
89#2628C2212yes—
90#2625C2212yes—
91#2616C2212yes—
92#2605C2214yes—
93#2604C2214yes—
94#2601C2214yes—
95#2596C2214yes—
96#2595C2214yes—
97#2594C2214yes—
98#2588C2214yes—
99#2588C2214yes—
100#2582C2211yescharacteristic
101#2578C2214yes—
102#2577C2212yes—
103#2575C2212yes—
104#2575C2214yes—
105#2574C2214yes—
106#2571C2212yes—
107#2571C2212yes—
108#2570C2211yescharacteristic
109#2568C2212yes—
110#2567C2211yescharacteristic
111#2565C2211yescharacteristic
112#2563C2211yescharacteristic
113#2563C2212yes—
114#2562C2211yescharacteristic
115#2560C2214yes—
116#2559C2212yes—
117#2559C2214yes—
118#2557C2212yes—
119#2556C2214yes—
120#2552C2212yes—
121#2552C2211yescharacteristic
122#2551C2211yescharacteristic
123#2550C2212yes—
124#2550C2211yescharacteristic
125#2544C2211yescharacteristic
126#2540C2211yescharacteristic
127#2538C2211yescharacteristic
128#2536C2212yes—
129#2536C2211yescharacteristic
130#2535C2211yescharacteristic
131#2532C2214yes—
132#2532C2214yes—
133#2531C2214yes—
134#2530C2214yes—
135#2524C2212yes—
136#2521C2212yes—
137#2518C2214yes—
138#2517C2214yes—
139#2516C2214yes—
140#2515C2214yes—
141#2515C2214yes—
142#2514C2214yes—
143#2513C2212yes—
144#2513C2214yes—
145#2513C2214yes—
146#2512C2212yes—
147#2512C2214yes—
148#2511C2214yes—
149#2511C2212yes—
150#2509C2212yes—
151#2509C2212yes—
152#2509C2214yes—
153#2509C2212yes—
154#2508C2212yes—
155#2508C2214yes—
156#2508C2212yes—
157#2508C2212yes—
158#2499C2214yes—
159#2499C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2496C2212yes—
163#2496C2212yes—
164#2496C2211yescharacteristic
165#2496C2212yes—
166#2495C2212yes—
167#2495C2211yescharacteristic
168#2495C2212yes—
169#2495C2212yes—
170#2495C2212yes—
171#2494C2212yes—
172#2494C2212yes—
173#2494C2212yes—
174#2492C2211yescharacteristic
175#2492C2212yes—
176#2490C2212yes—
177#2490C2211yescharacteristic
178#2490C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2489C2212yes—
183#2488C2214yes—
184#2488C2214yes—
185#2487C2212yes—
186#2486C2212yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2475C2214yes—
191#2471C2214yes—
192#2470C2214yes—
193#2468C2212yes—
194#2464C2212yes—
195#2454C2212yes—
196#2452C2212yes—
197#2452C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2445C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2440C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2428C2211yescharacteristic
208#2427C2211yescharacteristic
209#2423C2211yescharacteristic
210#2422C2212yes—
211#2421C2211yescharacteristic
212#2421C2212yes—
213#2420C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2388C2212yes—
221#2377C2214yes—
222#2376C2214yes—
223#2373C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2212yes—
229#2369C2212yes—
230#2369C2211yescharacteristic
231#2368C2214yes—
232#2367C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2362C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2356C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2346C2212yes—
255#2346C2212yes—
256#2346C2212yes—
257#2345C2212yes—
258#2344C2212yes—
259#2337C2214yes—
260#2334C2214yes—
261#2331C2212yes—
262#2330C2212yes—
263#2328C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2317C2212yes—
268#2317C2212yes—
269#2314C2212yes—
270#2311C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2214yes—
282C4×C22⋊Q8C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285#2298C2212yes—
286#2297C2212yes—
287#2296C2212yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2214yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#554—28no—
301#532—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2311yescharacteristic
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2314yes—
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2312yes—
473#392C2312yes—
474#392C2312yes—
475#392C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#383C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2314yes—
711#381C2314yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847#127—24no—
848#126—28no—
849#126—44no—
850#126—48no—
851#126—84no—
852#125—24no—
853#125—28no—
854#125—28no—
855#125—42no—
856#125—82no—
857#124—24no—
858#124—28no—
859#124—42no—
860#123—28no—
861#123—84no—
862#123—84no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—42no—
870C22⋊Q8—84no—
871C22⋊Q8—82no—
872C22⋊Q8—84no—
873C22⋊Q8—82no—
874#121—24no—
875#121—24no—
876#121—24no—
877#121—24no—
878#121—28no—
879#121—44no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4#4118yes—
899#117—28no—
900#117—44no—
901#117—44no—
902#117—44no—
903#117—44no—
904#117—44no—
905#117—44no—
906#117—84no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C42—24no—
1032C2×C42—24no—
1033C2×C42—44no—
1034C2×C42—48no—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2414yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C24C2511yescharacteristic
1153C24C2512yes—
1154#41—816no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4C2×#4114yes—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4C2×#4118yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2514yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4C2×#4114yes—
1336C4⋊C42−1+414yes—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—24no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4C2×#4118yes—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—41no—
1422C42C2×#4114yes—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23C22×#4114yes—
1451C23C2611yescharacteristic
1452Q8—44no—
1453Q8—44no—
1454Q8—84no—
1455Q8—84no—
1456Q8—164no—
1457D4—28no—
1458D4—44no—
1459D4—44no—
1460D4—84no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—216no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—48no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—82no—
1557C2×C4—82no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—84no—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4114yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C2×2−1+414yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—42no—
1591C22—41no—
1592C22—42no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—42no—
1599C22—41no—
1600C22C23×#4111yescharacteristic
1601C22C22×2−1+411yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22C2×#58511yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22H(7,𝔽2)11yescharacteristic
1607C4—22no—
1608C4—22no—
1609C4—24no—
1610C4—24no—
1611C4—41no—
1612C4—42no—
1613C4—41no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—44no—
1636C4#350714yes—
1637C4#352114yes—
1638C2—44no—
1639C2—81no—
1640C2—81no—
1641C2—82no—
1642C2#6276211yescharacteristic
1643C2C2×#350711yescharacteristic
1644C2C2×#352111yescharacteristic
1645C2#6293811yescharacteristic
1646C2#6295211yescharacteristic
1647C2#6299411yescharacteristic
1648C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59768C2semidirect
2. #59719C2semidirect
3. #59435C2semidirect
4. #59245C2semidirect
5. #59243C2semidirect
6. #49542C2semidirect
7. #49340C2semidirect
8. #45644C2semidirect
9. #45205C2semidirect
10. #45202C2semidirect
11. #45005C2semidirect
12. #44900C2semidirect
13. #42757C2semidirect
14. #42742C2semidirect
15. #42656C2semidirect
16. #42654C2semidirect
17. #39922C2semidirect
18. #39608C2semidirect
19. #39561C2semidirect
20. #39470C2semidirect
21. #39296C2semidirect
22. #39157C2semidirect
23. #38921C2semidirect
24. #36407C2semidirect
25. #36299C2semidirect
26. #36209C2semidirect
27. #36176C2semidirect
28. #36173C2semidirect
29. #35215C2semidirect
30. #35160C2semidirect
31. #34898C2semidirect
33. #34383C2semidirect
34. #34367C2semidirect
35. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#597682
#597192
#594352
#592452
#592432
#495422
#493402
#456442
#452052
#452022
#450052
#449002
#427572
#427422
#426562
#426542
#399222
#396082
#395612
#394702
#392962
#391572
#389212
#364072
#362992
#362092
#361762
#361732
#352152
#351602
#348982
#348892
#343832
#343672
C4×#5542