Finite Group Databasebeta

← #7658034

Subgroups — #7658034

Order 512.

4816 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42664C212yesmaximal, complemented
2#42661C212yesmaximal, complemented
3#42505C212yesmaximal, complemented
4#42503C212yesmaximal, complemented
5#41723C214yesmaximal, complemented
6#41712C214yesmaximal, complemented
7#41668C214yesmaximal, complemented
8#41656C214yesmaximal, complemented
9#39295C212yesmaximal, complemented
10#39284C212yesmaximal, complemented
11#39159C211yesmaximal, characteristic, complemented
12#39148C211yesmaximal, characteristic, complemented
13#38941C211yesmaximal, characteristic, complemented
14#38930C211yesmaximal, characteristic, complemented
15#38285C212yesmaximal, complemented
16#38278C212yesmaximal, complemented
17#37642C211yesmaximal, characteristic, complemented
18#37616C211yesmaximal, characteristic, complemented
19#37516C212yesmaximal, complemented
20#37513C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36037C212yesmaximal, complemented
26#36028C212yesmaximal, complemented
27#36019C212yesmaximal, complemented
28#36011C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35268C212yesmaximal, complemented
31#34619C212yesmaximal, complemented
32#34614C211yesmaximal, characteristic, complemented
33#34243C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#555C2212yes—
38C2×#532C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2860C2212yes—
44#2860C2212yes—
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2844C2214yes—
51#2832C2214yes—
52#2828C2214yes—
53#2826C2214yes—
54#2824C2214yes—
55#2813C2214yes—
56#2803C2214yes—
57#2800C2214yes—
58#2788C2214yes—
59#2784C2214yes—
60#2779C2214yes—
61#2779C2214yes—
62#2778C2214yes—
63#2770C2214yes—
64#2761C2214yes—
65#2758C2214yes—
66#2753C2214yes—
67#2750C2214yes—
68#2749C2214yes—
69#2745C2214yes—
70#2743C2214yes—
71#2739C2214yes—
72#2738C2214yes—
73#2737C2214yes—
74#2731C2214yes—
75#2716C2214yes—
76#2715C2214yes—
77#2688C2214yes—
78#2686C2214yes—
79#2686C2214yes—
80#2665C2214yes—
81#2662C2214yes—
82#2654C2214yes—
83#2653C2214yes—
84#2650C2214yes—
85#2650C2214yes—
86#2649C2214yes—
87#2648C2214yes—
88#2647C2212yes—
89#2645C2212yes—
90#2644C2212yes—
91#2640C2212yes—
92#2637C2212yes—
93#2636C2212yes—
94#2636C2214yes—
95#2635C2214yes—
96#2635C2214yes—
97#2631C2214yes—
98#2631C2214yes—
99#2630C2212yes—
100#2630C2212yes—
101#2629C2211yescharacteristic
102#2629C2211yescharacteristic
103#2628C2212yes—
104#2628C2212yes—
105#2628C2212yes—
106#2628C2212yes—
107#2628C2214yes—
108#2625C2211yescharacteristic
109#2624C2211yescharacteristic
110#2624C2212yes—
111#2620C2211yescharacteristic
112#2620C2211yescharacteristic
113#2620C2212yes—
114#2620C2212yes—
115#2620C2212yes—
116#2619C2212yes—
117#2616C2211yescharacteristic
118#2615C2211yescharacteristic
119#2615C2212yes—
120#2610C2214yes—
121#2610C2214yes—
122#2604C2214yes—
123#2601C2214yes—
124#2599C2214yes—
125#2592C2212yes—
126#2591C2214yes—
127#2580C2212yes—
128#2576C2214yes—
129#2572C2214yes—
130#2571C2211yescharacteristic
131#2571C2212yes—
132#2571C2212yes—
133#2571C2211yescharacteristic
134#2568C2212yes—
135#2568C2211yescharacteristic
136#2566C2212yes—
137#2563C2212yes—
138#2559C2214yes—
139#2559C2214yes—
140#2555C2214yes—
141#2555C2214yes—
142#2551C2211yescharacteristic
143#2551C2212yes—
144#2551C2212yes—
145#2551C2211yescharacteristic
146#2548C2211yescharacteristic
147#2545C2214yes—
148#2544C2212yes—
149#2542C2211yescharacteristic
150#2541C2211yescharacteristic
151#2540C2212yes—
152#2536C2212yes—
153#2535C2212yes—
154#2535C2212yes—
155#2533C2214yes—
156#2530C2214yes—
157#2526C2214yes—
158#2526C2214yes—
159#2525C2214yes—
160#2521C2214yes—
161#2521C2214yes—
162#2521C2214yes—
163#2516C2214yes—
164#2516C2214yes—
165#2515C2214yes—
166#2514C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2511C2212yes—
170#2504C2212yes—
171#2503C2212yes—
172#2500C2212yes—
173#2499C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2491C2214yes—
187#2484C2214yes—
188#2481C2214yes—
189#2481C2214yes—
190#2474C2214yes—
191#2474C2214yes—
192#2467C2214yes—
193#2467C2214yes—
194#2467C2214yes—
195#2459C2214yes—
196#2459C2214yes—
197#2459C2214yes—
198#2428C2212yes—
199#2428C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2421C2212yes—
203#2421C2212yes—
204#2421C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2417C2212yes—
211#2416C2212yes—
212#2415C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2401C2214yes—
221#2398C2214yes—
222#2396C2212yes—
223#2396C2214yes—
224#2395C2214yes—
225#2392C2212yes—
226#2392C2212yes—
227#2392C2212yes—
228#2370C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2363C2212yes—
237#2363C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2359C2214yes—
241#2357C2212yes—
242#2357C2212yes—
243#2356C2212yes—
244#2356C2212yes—
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2211yescharacteristic
251#2354C2212yes—
252#2353C2212yes—
253#2353C2212yes—
254#2352C2211yescharacteristic
255#2352C2211yescharacteristic
256#2352C2211yescharacteristic
257#2352C2211yescharacteristic
258#2352C2214yes—
259#2352C2212yes—
260Q8×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264#2334C2214yes—
265#2331C2212yes—
266#2328C2212yes—
267#2325C2214yes—
268#2324C2212yes—
269#2324C2212yes—
270#2319C2212yes—
271#2319C2212yes—
272#2314C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2298C2212yes—
285#2298C2212yes—
286#2297C2212yes—
287#2295C2212yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2274C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#556—48no—
302#555—48no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349#520—48no—
350C4×#41—28no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400#401C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
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#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—84no—
864#127—24no—
865#127—44no—
866#126—28no—
867#126—48no—
868#126—48no—
869#126—84no—
870#125—24no—
871#124—24no—
872#124—28no—
873#124—48no—
874#124—48no—
875#124—48no—
876#124—44no—
877#124—84no—
878#124—84no—
879#123—28no—
880C22⋊Q8—24no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—48no—
891#121—44no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—42no—
897#121—44no—
898#121—44no—
899#121—84no—
900#121—82no—
901#121—82no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—48no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—84no—
929#117—24no—
930#117—24no—
931#117—28no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—48no—
939#117—48no—
940#117—42no—
941#117—42no—
942#117—82no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—44no—
1076C2×C42#4118yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181C24C2514yes—
1182C24C2511yescharacteristic
1183#41—432no—
1184#41—416no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—41no—
1193C2×Q8—41no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—28no—
1269C22×C4—44no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4C2×#4114yes—
1291C22×C4C2×#4114yes—
1292C22×C4C2×#4114yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4H(5,𝔽2)14yes—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—28no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—28no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—42no—
1477C42—42no—
1478C42C2×#4114yes—
1479C42C2×#4114yes—
1480C42C2×#4114yes—
1481C42C2×#4114yes—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—24no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—24no—
1496C23—21no—
1497C23—24no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—24no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—24no—
1515C23—22no—
1516C23C22×#4112yes—
1517C23C2611yescharacteristic
1518Q8—44no—
1519Q8—48no—
1520Q8—44no—
1521Q8—88no—
1522Q8—164no—
1523D4—44no—
1524D4—48no—
1525D4—44no—
1526D4—44no—
1527D4—416no—
1528D4—48no—
1529D4—44no—
1530D4—48no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—164no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—44no—
1620C2×C4—416no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—82no—
1628C2×C4—88no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—44no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—44no—
1659C22—44no—
1660C22—41no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—44no—
1667C22—44no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—44no—
1674C22—41no—
1675C22—42no—
1676C22—44no—
1677C22—41no—
1678C22—41no—
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C222−1+611yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4#346014yes—
1715C4#349314yes—
1716C2—42no—
1717C2—81no—
1718C2—81no—
1719C2—82no—
1720C2—84no—
1721C2C2×#346011yescharacteristic
1722C2C2×#349311yescharacteristic
1723C2#6285611yescharacteristic
1724C2#6292111yescharacteristic
1725C2#6292311yescharacteristic
1726C2#6296611yescharacteristic
1727C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42664C2semidirect
2. #42661C2semidirect
3. #42505C2semidirect
4. #42503C2semidirect
5. #41723C2semidirect
6. #41712C2semidirect
7. #41668C2semidirect
8. #41656C2semidirect
9. #39295C2semidirect
10. #39284C2semidirect
11. #39159C2semidirect
12. #39148C2semidirect
13. #38941C2semidirect
14. #38930C2semidirect
15. #38285C2semidirect
16. #38278C2semidirect
17. #37642C2semidirect
18. #37616C2semidirect
19. #37516C2semidirect
20. #37513C2semidirect
21. #36473C2semidirect
22. #36460C2semidirect
23. #36314C2semidirect
24. #36273C2semidirect
25. #36037C2semidirect
26. #36028C2semidirect
27. #36019C2semidirect
28. #36011C2semidirect
29. #35292C2semidirect
30. #35268C2semidirect
31. #34619C2semidirect
32. #34614C2semidirect
33. #34243C2semidirect
34. #34206C2semidirect
35. #34121C2semidirect

Maximal subgroups

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

subgroupindex
#426642
#426612
#425052
#425032
#417232
#417122
#416682
#416562
#392952
#392842
#391592
#391482
#389412
#389302
#382852
#382782
#376422
#376162
#375162
#375132
#364732
#364602
#363142
#362732
#360372
#360282
#360192
#360112
#352922
#352682
#346192
#346142
#342432
#342062
#341212