Finite Group Databasebeta

← #7679897

Subgroups — #7679897

Order 512.

4969 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59765C212yesmaximal, complemented
2#59663C212yesmaximal, complemented
3#59507C212yesmaximal, complemented
4#59502C212yesmaximal, complemented
5#59430C212yesmaximal, complemented
6#59377C212yesmaximal, complemented
7#59260C212yesmaximal, complemented
8#59240C212yesmaximal, complemented
9#44731C214yesmaximal, complemented
10#44715C214yesmaximal, complemented
11#43864C214yesmaximal, complemented
12#43845C214yesmaximal, complemented
13#39553C212yesmaximal, complemented
14#39498C211yesmaximal, characteristic, complemented
15#39418C212yesmaximal, complemented
16#39360C211yesmaximal, characteristic, complemented
17#39149C211yesmaximal, characteristic, complemented
18#39146C211yesmaximal, characteristic, complemented
19#38060C212yesmaximal, complemented
20#38057C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36404C211yesmaximal, characteristic
24#36274C211yesmaximal, characteristic, complemented
25#35671C212yesmaximal, complemented
26#35625C212yesmaximal, complemented
27#35324C212yesmaximal, complemented
28#35319C211yesmaximal, characteristic, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34945C211yesmaximal, characteristic, complemented
31#34311C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34276C212yesmaximal, complemented
34#34125C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#541C2212yes—
40C2×#536C2212yes—
41C2×#520C2212yes—
42C2×#519C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2862C2212yes—
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2855C2212yes—
52#2807C2214yes—
53#2802C2214yes—
54#2796C2214yes—
55#2788C2214yes—
56#2787C2214yes—
57#2777C2214yes—
58#2776C2214yes—
59#2770C2214yes—
60#2762C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2755C2214yes—
64#2750C2214yes—
65#2746C2214yes—
66#2746C2214yes—
67#2743C2214yes—
68#2743C2214yes—
69#2739C2214yes—
70#2706C2214yes—
71#2700C2214yes—
72#2698C2214yes—
73#2687C2214yes—
74#2680C2214yes—
75#2680C2214yes—
76#2645C2212yes—
77#2645C2212yes—
78#2642C2212yes—
79#2628C2212yes—
80#2621C2212yes—
81#2621C2212yes—
82#2611C2214yes—
83#2611C2214yes—
84#2604C2214yes—
85#2603C2214yes—
86#2601C2214yes—
87#2601C2214yes—
88#2597C2214yes—
89#2594C2214yes—
90#2590C2214yes—
91#2588C2214yes—
92#2588C2214yes—
93#2587C2214yes—
94#2585C2214yes—
95#2584C2212yes—
96#2584C2214yes—
97#2582C2212yes—
98#2582C2211yescharacteristic
99#2580C2212yes—
100#2577C2214yes—
101#2575C2214yes—
102#2575C2214yes—
103#2575C2214yes—
104#2573C2214yes—
105#2573C2214yes—
106#2571C2211yescharacteristic
107#2571C2212yes—
108#2570C2214yes—
109#2570C2212yes—
110#2569C2214yes—
111#2568C2211yescharacteristic
112#2568C2211yescharacteristic
113#2562C2212yes—
114#2562C2214yes—
115#2557C2214yes—
116#2553C2214yes—
117#2552C2211yescharacteristic
118#2549C2214yes—
119#2547C2211yescharacteristic
120#2546C2211yescharacteristic
121#2538C2211yescharacteristic
122#2528C2214yes—
123#2528C2214yes—
124#2527C2214yes—
125#2527C2214yes—
126#2522C2214yes—
127#2514C2212yes—
128#2511C2214yes—
129#2511C2212yes—
130#2509C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2506C2212yes—
134#2506C2212yes—
135#2506C2212yes—
136#2506C2212yes—
137#2505C2214yes—
138#2505C2214yes—
139#2497C2212yes—
140#2497C2212yes—
141#2496C2212yes—
142#2496C2212yes—
143#2496C2212yes—
144#2496C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2494C2212yes—
148#2493C2214yes—
149#2493C2214yes—
150#2493C2214yes—
151#2488C2214yes—
152#2487C2212yes—
153#2481C2214yes—
154#2479C2214yes—
155#2475C2214yes—
156#2473C2214yes—
157#2470C2214yes—
158#2469C2214yes—
159#2467C2214yes—
160#2462C2214yes—
161#2460C2214yes—
162#2457C2214yes—
163#2454C2212yes—
164#2454C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2451C2212yes—
168#2450C2214yes—
169#2447C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2442C2212yes—
174#2442C2212yes—
175#2441C2212yes—
176#2440C2212yes—
177#2440C2212yes—
178#2439C2212yes—
179#2438C2214yes—
180#2434C2212yes—
181#2432C2212yes—
182#2429C2212yes—
183#2427C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2422C2212yes—
187#2422C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2420C2212yes—
191#2417C2212yes—
192#2415C2212yes—
193#2409C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2402C2214yes—
197#2401C2214yes—
198#2365C2211yescharacteristic
199#2365C2212yes—
200#2365C2211yescharacteristic
201#2362C2214yes—
202#2362C2212yes—
203#2362C2214yes—
204#2362C2214yes—
205#2361C2212yes—
206#2360C2212yes—
207#2360C2212yes—
208#2360C2214yes—
209#2360C2212yes—
210#2360C2214yes—
211#2359C2214yes—
212#2359C2214yes—
213#2359C2214yes—
214#2359C2214yes—
215#2359C2214yes—
216#2357C2212yes—
217#2357C2211yescharacteristic
218#2357C2211yescharacteristic
219#2357C2212yes—
220#2355C2212yes—
221#2355C2212yes—
222#2354C2211yescharacteristic
223#2354C2212yes—
224#2352C2212yes—
225#2351C2211yescharacteristic
226#2351C2211yescharacteristic
227Q8×C4⋊C4C2211yescharacteristic
228#2349C2212yes—
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231#2347C2211yescharacteristic
232#2347C2212yes—
233#2347C2211yescharacteristic
234#2347C2212yes—
235#2345C2212yes—
236#2344C2212yes—
237#2341C2211yescharacteristic
238#2341C2211yescharacteristic
239Q8×C22⋊C4C2212yes—
240#2339C2212yes—
241#2339C2212yes—
242#2337C2212yes—
243#2335C2212yes—
244#2334C2212yes—
245#2332C2212yes—
246#2331C2211yescharacteristic
247#2327C2212yes—
248#2327C2212yes—
249#2326C2211yescharacteristic
250#2326C2212yes—
251#2324C2211yescharacteristic
252#2323C2212yes—
253#2323C2212yes—
254#2323C2214yes—
255#2323C2211yescharacteristic
256#2322C2214yes—
257#2320C2211yescharacteristic
258#2319C2211yescharacteristic
259#2317C2212yes—
260#2314C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279#2297C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283C2×#391C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289C2×#389C2212yes—
290#2283C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302D4×Q8—28no—
303#547—28no—
304#542—28no—
305#541—48no—
306#536—216no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340#520—48no—
341#519—48no—
342C4×#41—28no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390#401C2314yes—
391#401C2314yes—
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
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#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#392C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#383C2312yes—
686#383C2312yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2314yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—42no—
824C22×Q8—28no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858#126—28no—
859#126—48no—
860#126—48no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—48no—
865#124—28no—
866#124—28no—
867#124#4118yescomplemented
868#123—216no—
869#123—216no—
870#123—28no—
871#123—216no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—28no—
879C22⋊Q8—216no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882#121—24no—
883#121—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—48no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4#4118yes—
914#117—24no—
915#117—28no—
916#117—28no—
917#117—24no—
918#117—28no—
919#117—24no—
920#117—48no—
921#117—48no—
922#117—48no—
923#117—44no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—28no—
1044C2×C42—24no—
1045C2×C42—44no—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170C24C2511yescharacteristic
1171C24C2512yes—
1172C24C2512yes—
1173#41—432no—
1174#41—416no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—28no—
1178C2×Q8—28no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—44no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—432no—
1192C2×Q8C2×#4114yes—
1193C2×Q82−1+414yes—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4C2×#4114yes—
1208C2×D4C2×#4114yes—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2×#4118yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4C2×#4114yes—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4C2×#4118yes—
1393C22⋊C4C2×#4118yes—
1394C22⋊C4C2×#4118yes—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—28no—
1409C42—28no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—42no—
1419C42—42no—
1420C42—41no—
1421C42—42no—
1422C42—42no—
1423C42—41no—
1424C42—42no—
1425C42—41no—
1426C42—42no—
1427C42—41no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—42no—
1436C42C2×#4114yes—
1437C42C2×#4114yes—
1438C42H(5,𝔽2)14yes—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23C22×#4114yes—
1459C23C22×#4114yes—
1460C23C2611yescharacteristic
1461Q8—28no—
1462Q8—28no—
1463Q8—416no—
1464Q8—48no—
1465Q8—48no—
1466Q8—84no—
1467D4—28no—
1468D4—28no—
1469D4—48no—
1470D4—416no—
1471D4—84no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—216no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—416no—
1556C2×C4—48no—
1557C2×C4—416no—
1558C2×C4—44no—
1559C2×C4—48no—
1560C2×C4—44no—
1561C2×C4—82no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—164no—
1566C2×C4—164no—
1567C2×C4C22×#4114yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×2−1+414yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4#58512yes—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22C23×#4111yescharacteristic
1603C22C23×#4111yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C2×#58511yescharacteristic
1607C222−1+611yescharacteristic
1608C222−1+611yescharacteristic
1609C4—22no—
1610C4—22no—
1611C4—24no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—24no—
1616C4—24no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—44no—
1638C4—44no—
1639C4#348114yes—
1640C4#349514yes—
1641C2—44no—
1642C2—44no—
1643C2—81no—
1644C2C2×#348111yescharacteristic
1645C2C2×#349511yescharacteristic
1646C2#6286111yescharacteristic
1647C2#6293111yescharacteristic
1648C2#6294611yescharacteristic
1649C2#6299511yescharacteristic
1650C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59765C2semidirect
2. #59663C2semidirect
3. #59507C2semidirect
4. #59502C2semidirect
5. #59430C2semidirect
6. #59377C2semidirect
7. #59260C2semidirect
8. #59240C2semidirect
9. #44731C2semidirect
10. #44715C2semidirect
11. #43864C2semidirect
12. #43845C2semidirect
13. #39553C2semidirect
14. #39498C2semidirect
15. #39418C2semidirect
16. #39360C2semidirect
17. #39149C2semidirect
18. #39146C2semidirect
19. #38060C2semidirect
20. #38057C2semidirect
21. #36598C2semidirect
22. #36555C2semidirect
24. #36274C2semidirect
25. #35671C2semidirect
26. #35625C2semidirect
27. #35324C2semidirect
28. #35319C2semidirect
29. #34951C2semidirect
30. #34945C2semidirect
31. #34311C2semidirect
32. #34308C2semidirect
33. #34276C2semidirect
34. #34125C2semidirect
35. C4×#542C2semidirect
867. #124#41semidirect

Maximal subgroups

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

subgroupindex
#597652
#596632
#595072
#595022
#594302
#593772
#592602
#592402
#447312
#447152
#438642
#438452
#395532
#394982
#394182
#393602
#391492
#391462
#380602
#380572
#365982
#365552
#364042
#362742
#356712
#356252
#353242
#353192
#349512
#349452
#343112
#343082
#342762
#341252
C4×#5422