Finite Group Databasebeta

← #7710226

Subgroups — #7710226

Order 512.

4682 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59458C211yesmaximal, characteristic, complemented
4#59456C211yesmaximal, characteristic, complemented
5#59332C212yesmaximal, complemented
6#59155C212yesmaximal, complemented
7#46105C212yesmaximal, complemented
8#46057C212yesmaximal, complemented
9#45581C214yesmaximal, complemented
10#40130C212yesmaximal, complemented
11#40059C212yesmaximal, complemented
12#39219C212yesmaximal, complemented
13#39183C211yesmaximal, characteristic, complemented
14#39182C211yesmaximal, characteristic, complemented
15#39025C212yesmaximal, complemented
16#38987C211yesmaximal, characteristic, complemented
17#38987C211yesmaximal, characteristic, complemented
18#38583C214yesmaximal, complemented
19#38175C214yesmaximal, complemented
20#38068C212yesmaximal, complemented
21#38067C212yesmaximal, complemented
22#37571C212yesmaximal, complemented
23#37103C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic
26#36599C211yesmaximal, characteristic, complemented
27#36587C211yesmaximal, characteristic
28#36140C212yesmaximal, complemented
29#36133C211yesmaximal, characteristic, complemented
30#36117C211yesmaximal, characteristic
31#36116C212yesmaximal, complemented
32#35241C212yesmaximal, complemented
33#35083C212yesmaximal, complemented
34#34489C212yesmaximal, complemented
35C2×C4×#125C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#533C2212yes—
38C2×#529C2212yes—
39C2×#529C2212yes—
40C22×#125C2211yescharacteristic
41#2864C2212yes—
42#2863C2211yescharacteristic
43#2863C2211yescharacteristic
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2855C2212yes—
58#2855C2212yes—
59#2855C2211yescharacteristic
60#2855C2211yescharacteristic
61#2854C2212yes—
62#2854C2212yes—
63#2854C2212yes—
64#2851C2212yes—
65#2850C2212yes—
66#2850C2212yes—
67#2836C2214yes—
68#2831C2214yes—
69#2805C2214yes—
70#2802C2214yes—
71#2802C2214yes—
72#2800C2214yes—
73#2798C2214yes—
74#2791C2214yes—
75#2786C2214yes—
76#2786C2214yes—
77#2783C2214yes—
78#2783C2214yes—
79#2777C2214yes—
80#2775C2214yes—
81#2773C2214yes—
82#2773C2214yes—
83#2772C2214yes—
84#2770C2214yes—
85#2768C2214yes—
86#2755C2214yes—
87#2755C2214yes—
88#2754C2214yes—
89#2747C2214yes—
90#2744C2214yes—
91#2744C2214yes—
92#2740C2214yes—
93#2740C2214yes—
94#2738C2214yes—
95#2721C2214yes—
96#2720C2214yes—
97#2704C2214yes—
98#2698C2214yes—
99#2692C2214yes—
100#2690C2214yes—
101#2664C2214yes—
102#2664C2214yes—
103#2654C2214yes—
104#2652C2214yes—
105#2652C2214yes—
106#2650C2214yes—
107#2647C2212yes—
108#2647C2212yes—
109#2644C2212yes—
110#2644C2212yes—
111#2597C2214yes—
112#2590C2214yes—
113#2585C2214yes—
114#2585C2214yes—
115#2584C2212yes—
116#2580C2212yes—
117#2575C2214yes—
118#2571C2211yescharacteristic
119#2571C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2569C2214yes—
123#2568C2212yes—
124#2566C2212yes—
125#2565C2212yes—
126#2565C2212yes—
127#2556C2214yes—
128#2552C2212yes—
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2552C2211yescharacteristic
132#2551C2211yescharacteristic
133#2550C2212yes—
134#2550C2212yes—
135#2548C2211yescharacteristic
136#2548C2211yescharacteristic
137#2547C2212yes—
138#2547C2212yes—
139#2546C2211yescharacteristic
140#2546C2211yescharacteristic
141#2546C2212yes—
142#2545C2212yes—
143#2545C2212yes—
144#2545C2212yes—
145#2542C2212yes—
146#2519C2214yes—
147#2517C2214yes—
148#2513C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2512C2212yes—
154#2512C2212yes—
155#2512C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2509C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2506C2212yes—
166#2504C2212yes—
167#2501C2212yes—
168#2498C2214yes—
169#2498C2214yes—
170#2496C2214yes—
171#2488C2214yes—
172#2488C2214yes—
173#2486C2214yes—
174#2481C2214yes—
175#2479C2214yes—
176#2478C2214yes—
177#2478C2214yes—
178#2475C2214yes—
179#2473C2214yes—
180#2469C2214yes—
181#2466C2214yes—
182#2462C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2449C2214yes—
196#2449C2214yes—
197#2449C2214yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2444C2214yes—
209#2442C2212yes—
210#2440C2212yes—
211#2438C2214yes—
212#2425C2214yes—
213#2419C2214yes—
214#2419C2214yes—
215#2419C2214yes—
216#2417C2214yes—
217#2417C2214yes—
218#2413C2214yes—
219#2378C2214yes—
220#2378C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2367C2212yes—
224#2366C2211yescharacteristic
225#2366C2211yescharacteristic
226#2365C2212yes—
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2362C2214yes—
231#2361C2212yes—
232#2361C2212yes—
233#2359C2214yes—
234#2357C2212yes—
235#2357C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2354C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2214yes—
244D4×C4⋊C4C2212yes—
245#2345C2212yes—
246#2344C2214yes—
247#2344C2212yes—
248#2334C2214yes—
249#2332C2214yes—
250#2332C2214yes—
251#2331C2212yes—
252#2330C2212yes—
253#2323C2214yes—
254#2323C2214yes—
255#2319C2212yes—
256#2319C2212yes—
257#2313C2214yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×#127C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#125C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#387C2212yes—
291C2×#387C2212yes—
292#2283C2212yes—
293C2×#382C2211yescharacteristic
294C2×C4×C4⋊C4C2212yes—
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#554—216no—
300#533—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309#529—48no—
310#529—48no—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125—28no—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2314yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385#400C2314yes—
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#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#383C2312yes—
703#383C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#381C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801C2×#95C2312yes—
802C2×#95C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—42no—
844C4⋊Q8—44no—
845#127—24no—
846#126—48no—
847#126—48no—
848#126—48no—
849#125—28no—
850#125—24no—
851#125—24no—
852#125—28no—
853#125—28no—
854#125—24no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—48no—
859#125#4118yes—
860#124—44no—
861#124—44no—
862#124—44no—
863#124—44no—
864#123—48no—
865#123—48no—
866#123—48no—
867C22⋊Q8—24no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876#121—28no—
877#121—28no—
878#121—44no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—48no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—48no—
896C4×D4—48no—
897C4×D4—48no—
898#117—48no—
899#117—48no—
900#117—48no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—24no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—216no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C42—24no—
1024C2×C42—28no—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—42no—
1029C2×C42—44no—
1030C2×C42—42no—
1031C2×C42—42no—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2514yes—
1160C24C2511yescharacteristic
1161C2×Q8—24no—
1162C2×Q8—28no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8—42no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4H(5,𝔽2)14yes—
1229C22×C42−1+414yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4C2×#4118yes—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—41no—
1405C42—42no—
1406C42—41no—
1407C42—41no—
1408C42—41no—
1409C42—42no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42C2×#4114yes—
1422C422−1+414yes—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23C2×H(5,𝔽2)12yes—
1435C23C2×2−1+412yes—
1436C23#58512yes—
1437C23C2611yescharacteristic
1438Q8—44no—
1439Q8—48no—
1440Q8—44no—
1441Q8—88no—
1442Q8—84no—
1443D4—416no—
1444D4—48no—
1445D4—48no—
1446D4—84no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—28no—
1464C2×C4—28no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—44no—
1535C2×C4—48no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—48no—
1541C2×C4—44no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—84no—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4114yes—
1549C2×C4C22×#4114yes—
1550C2×C4C22×#4112yes—
1551C2×C4C2×H(5,𝔽2)12yes—
1552C2×C4C2×H(5,𝔽2)12yes—
1553C2×C4C2×2−1+412yes—
1554C2×C4C2×2−1+412yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4C2×2−1+412yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—44no—
1567C22—44no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22#355414yes—
1574C22C23×#4111yescharacteristic
1575C22C22×H(5,𝔽2)11yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C22×2−1+411yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22C2×#58511yescharacteristic
1580C22C2×#58511yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—24no—
1585C4—24no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—42no—
1590C4—44no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—44no—
1597C4—41no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4#352314yes—
1613C4#355914yes—
1614C2—24no—
1615C2—84no—
1616C2C2×#355911yescharacteristic
1617C2C2×#355411yescharacteristic
1618C2C2×#352311yescharacteristic
1619C2#6280011yescharacteristic
1620C2#6281611yescharacteristic
1621C2#6283111yescharacteristic
1622C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2856C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59679C2semidirect
3. #59458C2semidirect
4. #59456C2semidirect
5. #59332C2semidirect
6. #59155C2semidirect
7. #46105C2semidirect
8. #46057C2semidirect
9. #45581C2semidirect
10. #40130C2semidirect
11. #40059C2semidirect
12. #39219C2semidirect
13. #39183C2semidirect
14. #39182C2semidirect
15. #39025C2semidirect
16. #38987C2semidirect
17. #38987C2semidirect
18. #38583C2semidirect
19. #38175C2semidirect
20. #38068C2semidirect
21. #38067C2semidirect
22. #37571C2semidirect
23. #37103C2semidirect
24. #36635C2semidirect
26. #36599C2semidirect
28. #36140C2semidirect
29. #36133C2semidirect
31. #36116C2semidirect
32. #35241C2semidirect
33. #35083C2semidirect
34. #34489C2semidirect
35. C2×C4×#125C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#596792
#594582
#594562
#593322
#591552
#461052
#460572
#455812
#401302
#400592
#392192
#391832
#391822
#390252
#389872
#385832
#381752
#380682
#380672
#375712
#371032
#366352
#366312
#365992
#365872
#361402
#361332
#361172
#361162
#352412
#350832
#344892
C2×C4×#1252