Finite Group Databasebeta

← #7657330

Subgroups — #7657330

Order 512.

5374 conjugacy classes of subgroups.

The subgroup lattice has 1825 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42515C212yesmaximal, complemented
2#42508C212yesmaximal, complemented
3#42448C212yesmaximal, complemented
4#42447C212yesmaximal, complemented
5#41115C214yesmaximal, complemented
6#41094C214yesmaximal, complemented
7#40931C214yesmaximal, complemented
8#40914C214yesmaximal, complemented
9#39818C212yesmaximal, complemented
10#39735C211yesmaximal, characteristic, complemented
11#39694C212yesmaximal, complemented
12#39608C211yesmaximal, characteristic, complemented
13#39479C211yesmaximal, characteristic, complemented
14#39352C211yesmaximal, characteristic, complemented
15#37984C212yesmaximal, complemented
16#37792C212yesmaximal, complemented
17#37639C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#37523C212yesmaximal, complemented
20#37520C212yesmaximal, complemented
21#36596C211yesmaximal, characteristic, complemented
22#36551C211yesmaximal, characteristic, complemented
23#36176C211yesmaximal, characteristic, complemented
24#36126C211yesmaximal, characteristic, complemented
25#35947C212yesmaximal, complemented
26#35923C212yesmaximal, complemented
27#35689C212yesmaximal, complemented
28#35682C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35259C212yesmaximal, complemented
31#34609C211yesmaximal, characteristic, complemented
32#34609C212yesmaximal, complemented
33#34236C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35C4⋊C4×#41C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#547C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#532C2212yes—
42C2×#520C2212yes—
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2851C2212yes—
53#2841C2214yes—
54#2837C2214yes—
55#2837C2214yes—
56#2826C2214yes—
57#2824C2214yes—
58#2819C2214yes—
59#2804C2214yes—
60#2803C2214yes—
61#2788C2214yes—
62#2775C2214yes—
63#2763C2214yes—
64#2754C2214yes—
65#2753C2214yes—
66#2751C2214yes—
67#2748C2214yes—
68#2743C2214yes—
69#2742C2214yes—
70#2738C2214yes—
71#2714C2214yes—
72#2710C2214yes—
73#2706C2214yes—
74#2703C2214yes—
75#2702C2214yes—
76#2701C2214yes—
77#2692C2214yes—
78#2688C2214yes—
79#2682C2214yes—
80#2672C2214yes—
81#2671C2214yes—
82#2671C2214yes—
83#2666C2214yes—
84#2663C2214yes—
85#2663C2214yes—
86#2660C2212yes—
87#2649C2214yes—
88#2649C2214yes—
89#2647C2212yes—
90#2636C2214yes—
91#2636C2214yes—
92#2635C2214yes—
93#2635C2214yes—
94#2635C2212yes—
95#2635C2212yes—
96#2632C2214yes—
97#2632C2212yes—
98#2631C2212yes—
99#2631C2214yes—
100#2630C2214yes—
101#2630C2214yes—
102#2629C2212yes—
103#2628C2211yescharacteristic
104#2628C2212yes—
105#2628C2211yescharacteristic
106#2628C2212yes—
107#2624C2212yes—
108#2624C2212yes—
109#2624C2211yescharacteristic
110#2624C2211yescharacteristic
111#2624C2212yes—
112#2619C2212yes—
113#2619C2212yes—
114#2619C2212yes—
115#2619C2211yescharacteristic
116#2619C2211yescharacteristic
117#2615C2212yes—
118#2615C2212yes—
119#2615C2214yes—
120#2615C2211yescharacteristic
121#2615C2211yescharacteristic
122#2615C2212yes—
123#2604C2214yes—
124#2602C2214yes—
125#2592C2212yes—
126#2589C2214yes—
127#2580C2214yes—
128#2580C2212yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2564C2214yes—
132#2563C2212yes—
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic
135#2563C2212yes—
136#2562C2212yes—
137#2559C2214yes—
138#2554C2214yes—
139#2553C2214yes—
140#2553C2214yes—
141#2553C2214yes—
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2543C2214yes—
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2540C2212yes—
151#2537C2212yes—
152#2537C2212yes—
153#2537C2212yes—
154#2535C2212yes—
155#2535C2212yes—
156#2532C2214yes—
157#2530C2214yes—
158#2513C2212yes—
159#2513C2212yes—
160#2512C2212yes—
161#2512C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2505C2214yes—
167#2501C2212yes—
168#2500C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2496C2212yes—
172#2495C2212yes—
173#2491C2212yes—
174#2490C2212yes—
175#2488C2214yes—
176#2487C2212yes—
177#2487C2212yes—
178#2486C2212yes—
179#2485C2212yes—
180#2465C2214yes—
181#2464C2214yes—
182#2464C2214yes—
183#2464C2214yes—
184#2463C2214yes—
185#2461C2214yes—
186#2458C2214yes—
187#2458C2214yes—
188#2458C2214yes—
189#2456C2214yes—
190#2456C2214yes—
191#2456C2214yes—
192#2456C2214yes—
193#2456C2214yes—
194#2455C2214yes—
195#2455C2214yes—
196#2454C2212yes—
197#2454C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2450C2214yes—
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2440C2212yes—
208#2439C2212yes—
209#2430C2214yes—
210#2430C2214yes—
211#2425C2214yes—
212#2422C2212yes—
213#2422C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2407C2214yes—
221#2407C2212yes—
222#2407C2212yes—
223#2398C2212yes—
224#2398C2214yes—
225#2397C2212yes—
226#2397C2214yes—
227#2388C2214yes—
228#2388C2212yes—
229#2388C2214yes—
230#2388C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2367C2214yes—
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2212yes—
237#2365C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2357C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2352C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251#2349C2212yes—
252#2349C2212yes—
253#2349C2212yes—
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264#2346C2212yes—
265#2345C2212yes—
266#2339C2214yes—
267#2337C2214yes—
268#2325C2214yes—
269#2324C2212yes—
270#2324C2212yes—
271#2324C2212yes—
272#2324C2212yes—
273#2319C2212yes—
274#2314C2212yes—
275#2311C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2296C2212yes—
287#2296C2212yes—
288#2296C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2212yes—
294#2283C2211yescharacteristic
295#2275C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303#553—48no—
304#547—48no—
305#540—48no—
306#532—28no—
307#532—28no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362#520—48no—
363C4×#41—28no—
364C4×#41—48no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C42C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2311yescharacteristic
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#399C2312yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2314yes—
482#395C2314yes—
483#395C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2312yes—
521#393C2314yes—
522#393C2312yes—
523#393C2312yes—
524#393C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#391C2314yes—
549#391C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
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#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#383C2312yes—
721#383C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2312yes—
734#381C2314yes—
735#381C2312yes—
736#381C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813#376C2312yes—
814#376C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—48no—
828C2×#41—84no—
829C2×#41—82no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—24no—
881C4⋊Q8—24no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—44no—
887#127—44no—
888#126—48no—
889#126—84no—
890#125—44no—
891#125—44no—
892#124—28no—
893#124—28no—
894#124—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901#123—84no—
902#123—84no—
903C22⋊Q8—48no—
904C22⋊Q8—82no—
905C22⋊Q8—84no—
906C22⋊Q8—82no—
907#121—24no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—24no—
913#121—28no—
914#121—24no—
915#121—24no—
916#121—28no—
917#121—24no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—84no—
929#121—84no—
930#121—82no—
931#121—82no—
932#121—84no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—48no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—84no—
971C4×D4—84no—
972C4×D4—84no—
973#117—24no—
974#117—28no—
975#117—28no—
976#117—24no—
977#117—24no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—44no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4—42no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C42—28no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42#4118yescomplemented
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24C2512yes—
1211C24C2514yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215C24C2511yescharacteristic
1216#41—232no—
1217#41—432no—
1218#41—816no—
1219#41—832no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—28no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4C2×#4114yes—
1363C22×C4C2×#4114yes—
1364C22×C4C2×#4114yes—
1365C22×C4H(5,𝔽2)14yes—
1366C22×C42−1+414yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4H(5,𝔽2)14yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—28no—
1540C42—24no—
1541C42—24no—
1542C42—42no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42C2×#4114yes—
1553C42C2×#4114yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—24no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—24no—
1592C23—22no—
1593C23C22×#4112yes—
1594C23C2×H(5,𝔽2)12yes—
1595C23C2×2−1+412yes—
1596C23C2611yescharacteristic
1597Q8—28no—
1598Q8—48no—
1599Q8—84no—
1600Q8—88no—
1601D4—28no—
1602D4—28no—
1603D4—28no—
1604D4—48no—
1605D4—48no—
1606D4—48no—
1607D4—48no—
1608D4—416no—
1609D4—48no—
1610D4—48no—
1611D4—44no—
1612D4—48no—
1613D4—44no—
1614D4—84no—
1615D4—84no—
1616D4—88no—
1617D4—84no—
1618D4—84no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—164no—
1623D4—164no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—28no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—28no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—88no—
1715C2×C4—84no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—164no—
1719C2×C4—164no—
1720C2×C4C22×#4112yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)14yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×2−1+412yes—
1731C2×C4C2×2−1+412yes—
1732C2×C4#58512yes—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—44no—
1775C22C23×#4111yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C22×H(5,𝔽2)11yescharacteristic
1778C22C22×2−1+411yescharacteristic
1779C22C2×#58511yescharacteristic
1780C22H(7,𝔽2)11yescharacteristic
1781C22H(7,𝔽2)11yescharacteristic
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—24no—
1788C4—22no—
1789C4—41no—
1790C4—41no—
1791C4—44no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—44no—
1796C4—42no—
1797C4—44no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4#346014yes—
1810C4#349214yes—
1811C2—42no—
1812C2—42no—
1813C2—42no—
1814C2—84no—
1815C2—82no—
1816C2—82no—
1817C2C2×#346011yescharacteristic
1818C2C2×#349211yescharacteristic
1819C2#6285511yescharacteristic
1820C2#6291211yescharacteristic
1821C2#6291711yescharacteristic
1822C2#6292611yescharacteristic
1823C2#6293011yescharacteristic
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. #42515C2semidirect
2. #42508C2semidirect
3. #42448C2semidirect
4. #42447C2semidirect
5. #41115C2semidirect
6. #41094C2semidirect
7. #40931C2semidirect
8. #40914C2semidirect
9. #39818C2semidirect
10. #39735C2semidirect
11. #39694C2semidirect
12. #39608C2semidirect
13. #39479C2semidirect
14. #39352C2semidirect
15. #37984C2semidirect
16. #37792C2semidirect
17. #37639C2semidirect
18. #37624C2semidirect
19. #37523C2semidirect
20. #37520C2semidirect
21. #36596C2semidirect
22. #36551C2semidirect
23. #36176C2semidirect
24. #36126C2semidirect
25. #35947C2semidirect
26. #35923C2semidirect
27. #35689C2semidirect
28. #35682C2semidirect
29. #35292C2semidirect
30. #35259C2semidirect
31. #34609C2semidirect
32. #34609C2semidirect
33. #34236C2semidirect
34. #34206C2semidirect
35. C4⋊C4×#41C2semidirect
1126. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#425152
#425082
#424482
#424472
#411152
#410942
#409312
#409142
#398182
#397352
#396942
#396082
#394792
#393522
#379842
#377922
#376392
#376242
#375232
#375202
#365962
#365512
#361762
#361262
#359472
#359232
#356892
#356822
#352922
#352592
#346092
#342362
#342062
C4⋊C4×#412