Finite Group Databasebeta

← #7693301

Subgroups — #7693301

Order 512.

4806 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59586C212yesmaximal, complemented
2#59486C212yesmaximal, complemented
3#59458C211yesmaximal, characteristic, complemented
4#59450C212yesmaximal, complemented
5#59381C212yesmaximal, complemented
6#59373C214yesmaximal, complemented
7#59070C211yesmaximal, characteristic, complemented
8#59064C211yesmaximal, characteristic, complemented
9#45191C212yesmaximal, complemented
10#45054C212yesmaximal, complemented
11#43862C214yesmaximal, complemented
12#43364C214yesmaximal, complemented
13#40186C214yesmaximal, complemented
14#40080C212yesmaximal, complemented
15#40076C212yesmaximal, complemented
16#39159C211yesmaximal, characteristic, complemented
17#39157C211yesmaximal, characteristic, complemented
18#38971C212yesmaximal, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36526C212yesmaximal, complemented
22#36480C211yesmaximal, characteristic, complemented
23#36449C212yesmaximal, complemented
24#36286C211yesmaximal, characteristic, complemented
25#36241C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic
27#36055C212yesmaximal, complemented
28#35885C212yesmaximal, complemented
29#34969C212yesmaximal, complemented
30#34945C211yesmaximal, characteristic, complemented
31#34333C212yesmaximal, complemented
32#34236C211yesmaximal, characteristic, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2852C2214yes—
49#2771C2214yes—
50#2771C2214yes—
51#2771C2214yes—
52#2770C2214yes—
53#2762C2214yes—
54#2761C2214yes—
55#2758C2214yes—
56#2751C2214yes—
57#2745C2214yes—
58#2745C2214yes—
59#2745C2214yes—
60#2744C2214yes—
61#2743C2214yes—
62#2739C2214yes—
63#2717C2214yes—
64#2708C2214yes—
65#2702C2214yes—
66#2696C2214yes—
67#2692C2214yes—
68#2690C2214yes—
69#2689C2214yes—
70#2652C2214yes—
71#2649C2214yes—
72#2645C2212yes—
73#2645C2212yes—
74#2605C2214yes—
75#2605C2214yes—
76#2597C2214yes—
77#2595C2214yes—
78#2588C2214yes—
79#2588C2214yes—
80#2585C2214yes—
81#2581C2212yes—
82#2580C2212yes—
83#2578C2214yes—
84#2578C2214yes—
85#2576C2214yes—
86#2575C2214yes—
87#2575C2214yes—
88#2573C2212yes—
89#2573C2212yes—
90#2571C2211yescharacteristic
91#2571C2212yes—
92#2570C2212yes—
93#2569C2214yes—
94#2568C2212yes—
95#2568C2211yescharacteristic
96#2568C2211yescharacteristic
97#2567C2211yescharacteristic
98#2567C2211yescharacteristic
99#2560C2214yes—
100#2557C2214yes—
101#2552C2211yescharacteristic
102#2551C2211yescharacteristic
103#2547C2212yes—
104#2547C2211yescharacteristic
105#2546C2211yescharacteristic
106#2542C2212yes—
107#2538C2211yescharacteristic
108#2535C2212yes—
109#2530C2214yes—
110#2530C2214yes—
111#2530C2214yes—
112#2527C2214yes—
113#2527C2214yes—
114#2526C2214yes—
115#2523C2214yes—
116#2520C2214yes—
117#2514C2212yes—
118#2514C2212yes—
119#2511C2212yes—
120#2511C2212yes—
121#2511C2212yes—
122#2510C2214yes—
123#2509C2212yes—
124#2509C2212yes—
125#2509C2212yes—
126#2509C2212yes—
127#2508C2212yes—
128#2503C2214yes—
129#2497C2212yes—
130#2496C2212yes—
131#2496C2212yes—
132#2495C2214yes—
133#2495C2212yes—
134#2494C2212yes—
135#2494C2211yescharacteristic
136#2494C2211yescharacteristic
137#2493C2214yes—
138#2493C2214yes—
139#2493C2214yes—
140#2493C2214yes—
141#2493C2214yes—
142#2492C2212yes—
143#2492C2212yes—
144#2492C2212yes—
145#2489C2214yes—
146#2489C2212yes—
147#2485C2214yes—
148#2481C2214yes—
149#2481C2214yes—
150#2477C2214yes—
151#2470C2214yes—
152#2467C2214yes—
153#2465C2214yes—
154#2461C2214yes—
155#2454C2212yes—
156#2452C2212yes—
157#2452C2212yes—
158#2452C2212yes—
159#2451C2212yes—
160#2450C2214yes—
161#2449C2214yes—
162#2447C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2442C2212yes—
172#2439C2212yes—
173#2432C2212yes—
174#2427C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2422C2212yes—
180#2422C2212yes—
181#2421C2214yes—
182#2421C2211yescharacteristic
183#2421C2211yescharacteristic
184#2421C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2419C2214yes—
189#2419C2214yes—
190#2407C2212yes—
191#2407C2212yes—
192#2406C2214yes—
193#2401C2212yes—
194#2401C2214yes—
195#2401C2212yes—
196#2398C2214yes—
197#2374C2214yes—
198#2373C2212yes—
199#2371C2212yes—
200#2370C2211yescharacteristic
201#2370C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2368C2214yes—
205#2368C2214yes—
206#2367C2212yes—
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2365C2212yes—
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2363C2212yes—
216#2363C2212yes—
217#2362C2211yescharacteristic
218#2361C2212yes—
219#2361C2212yes—
220#2360C2214yes—
221#2360C2211yescharacteristic
222#2359C2212yes—
223#2357C2212yes—
224#2357C2212yes—
225#2357C2212yes—
226#2356C2212yes—
227#2356C2211yescharacteristic
228#2355C2212yes—
229#2355C2212yes—
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2353C2214yes—
233#2352C2214yes—
234#2352C2211yescharacteristic
235#2349C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241#2347C2212yes—
242#2346C2211yescharacteristic
243#2345C2214yes—
244#2345C2212yes—
245#2344C2211yescharacteristic
246#2343C2212yes—
247#2341C2212yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2214yes—
251#2339C2212yes—
252#2339C2212yes—
253#2337C2214yes—
254#2333C2214yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2319C2212yes—
260#2319C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2214yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280C4×#123C2214yes—
281C4×#123C2214yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286C2×#387C2214yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—28no—
302#554—216no—
303#552—28no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2314yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2312yes—
381C22×C42C2314yes—
382#401C2314yes—
383#401C2314yes—
384#401C2312yes—
385#401C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#392C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#383C2312yes—
667#383C2312yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2314yes—
684#382C2314yes—
685#382C2312yes—
686#381C2312yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#381C2314yes—
696#381C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C22⋊C4C2311yescharacteristic
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—82no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#127#4118yes—
855#126—28no—
856#126—84no—
857#125—28no—
858#125—28no—
859#125#4118yescomplemented
860#124—28no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—44no—
865#123—216no—
866#123—28no—
867#123—48no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—42no—
874C22⋊Q8—44no—
875C22⋊Q8—42no—
876C22⋊Q8—84no—
877C22⋊Q8—82no—
878#121—28no—
879#121—28no—
880#121—28no—
881#121—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—42no—
890C4×Q8—44no—
891C4×Q8—84no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—48no—
910C4×D4—82no—
911C4×D4—84no—
912#117—24no—
913#117—28no—
914#117—24no—
915#117—44no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—216no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—84no—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊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⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42—44no—
1030C2×C42—84no—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
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#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2511yescharacteristic
1161C24C2514yes—
1162C24C2511yescharacteristic
1163#41—816no—
1164#41—816no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—22no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4C2×#4118yes—
1199C2×D4C2×#4118yes—
1200C2×D4C2×#4118yes—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4C2×#4118yes—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4114yes—
1342C4⋊C4C2×#4118yes—
1343C4⋊C42−1+414yes—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—41no—
1369C22⋊C4—44no—
1370C22⋊C4—41no—
1371C22⋊C4—44no—
1372C22⋊C4—41no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—42no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—41no—
1415C42—44no—
1416C42—41no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C42—44no—
1422C42—42no—
1423C42—42no—
1424C42C2×#4114yes—
1425C42C2×#4114yes—
1426C23—21no—
1427C23—24no—
1428C23—21no—
1429C23—24no—
1430C23—21no—
1431C23—21no—
1432C23—24no—
1433C23—24no—
1434C23—24no—
1435C23—21no—
1436C23—24no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23C22×#4118yes—
1446C23#58512yes—
1447C23C2611yescharacteristic
1448Q8—44no—
1449Q8—44no—
1450Q8—48no—
1451Q8—88no—
1452Q8—84no—
1453Q8—84no—
1454D4—216no—
1455D4—216no—
1456D4—48no—
1457D4—44no—
1458D4—416no—
1459D4—88no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—82no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4114yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4114yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C2×2−1+414yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C22—22no—
1572C22—28no—
1573C22—22no—
1574C22—28no—
1575C22—22no—
1576C22—28no—
1577C22—44no—
1578C22—41no—
1579C22—44no—
1580C22—41no—
1581C22—44no—
1582C22—41no—
1583C22—44no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22C23×#4111yescharacteristic
1593C22C23×#4111yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22H(7,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—24no—
1602C4—24no—
1603C4—22no—
1604C4—24no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—41no—
1618C4—44no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4#348214yes—
1630C4#352114yes—
1631C2—42no—
1632C2—48no—
1633C2—81no—
1634C2C2×#348211yescharacteristic
1635C2C2×#352111yescharacteristic
1636C2#6281611yescharacteristic
1637C2#6295111yescharacteristic
1638C2#6299011yescharacteristic
1639C2#6301011yescharacteristic
1640C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36149C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59586C2semidirect
2. #59486C2semidirect
3. #59458C2semidirect
4. #59450C2semidirect
5. #59381C2semidirect
6. #59373C2semidirect
7. #59070C2semidirect
8. #59064C2semidirect
9. #45191C2semidirect
10. #45054C2semidirect
11. #43862C2semidirect
12. #43364C2semidirect
13. #40186C2semidirect
14. #40080C2semidirect
15. #40076C2semidirect
16. #39159C2semidirect
17. #39157C2semidirect
18. #38971C2semidirect
19. #36599C2semidirect
20. #36556C2semidirect
21. #36526C2semidirect
22. #36480C2semidirect
23. #36449C2semidirect
24. #36286C2semidirect
25. #36241C2semidirect
27. #36055C2semidirect
28. #35885C2semidirect
29. #34969C2semidirect
30. #34945C2semidirect
31. #34333C2semidirect
32. #34236C2semidirect
33. #34232C2semidirect
34. C4×#559C2semidirect
35. C4×#552C2semidirect
859. #125#41semidirect

Maximal subgroups

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

subgroupindex
#595862
#594862
#594582
#594502
#593812
#593732
#590702
#590642
#451912
#450542
#438622
#433642
#401862
#400802
#400762
#391592
#391572
#389712
#365992
#365562
#365262
#364802
#364492
#362862
#362412
#361492
#360552
#358852
#349692
#349452
#343332
#342362
#342322
C4×#5592
C4×#5522