Finite Group Databasebeta

← #7657657

Subgroups — #7657657

Order 512.

5128 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42923C212yesmaximal, complemented
2#42920C212yesmaximal, complemented
3#42660C212yesmaximal, complemented
4#42658C212yesmaximal, complemented
5#42044C214yesmaximal, complemented
6#42043C214yesmaximal, complemented
7#40969C214yesmaximal, complemented
8#40953C214yesmaximal, complemented
9#39763C211yesmaximal, characteristic, complemented
10#39761C211yesmaximal, characteristic, complemented
11#39555C212yesmaximal, complemented
12#39552C212yesmaximal, complemented
13#39507C211yesmaximal, characteristic, complemented
14#39505C211yesmaximal, characteristic, complemented
15#37759C212yesmaximal, complemented
16#37756C212yesmaximal, complemented
17#37621C211yesmaximal, characteristic, complemented
18#37620C211yesmaximal, characteristic, complemented
19#37593C212yesmaximal, complemented
20#37591C212yesmaximal, complemented
21#36559C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36127C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35699C212yesmaximal, complemented
26#35697C212yesmaximal, complemented
27#35688C212yesmaximal, complemented
28#35682C212yesmaximal, complemented
29#35282C212yesmaximal, complemented
30#35275C211yesmaximal, characteristic, complemented
31#34624C211yesmaximal, characteristic, complemented
32#34624C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#547C2212yes—
38C2×#544C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2212yes—
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2868C2211yescharacteristic
46#2868C2211yescharacteristic
47#2864C2212yes—
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2212yes—
51#2857C2212yes—
52#2851C2212yes—
53#2832C2214yes—
54#2831C2214yes—
55#2830C2214yes—
56#2829C2214yes—
57#2823C2214yes—
58#2813C2214yes—
59#2803C2214yes—
60#2803C2214yes—
61#2803C2214yes—
62#2800C2214yes—
63#2800C2214yes—
64#2800C2214yes—
65#2800C2214yes—
66#2797C2214yes—
67#2795C2214yes—
68#2793C2214yes—
69#2779C2214yes—
70#2772C2214yes—
71#2753C2214yes—
72#2731C2214yes—
73#2731C2214yes—
74#2730C2214yes—
75#2716C2214yes—
76#2716C2214yes—
77#2714C2214yes—
78#2711C2214yes—
79#2707C2214yes—
80#2702C2214yes—
81#2696C2214yes—
82#2676C2214yes—
83#2663C2214yes—
84#2662C2212yes—
85#2662C2214yes—
86#2662C2214yes—
87#2662C2214yes—
88#2662C2212yes—
89#2662C2214yes—
90#2661C2212yes—
91#2661C2214yes—
92#2661C2214yes—
93#2661C2212yes—
94#2660C2212yes—
95#2660C2211yescharacteristic
96#2660C2212yes—
97#2657C2211yescharacteristic
98#2652C2214yes—
99#2651C2214yes—
100#2651C2214yes—
101#2650C2214yes—
102#2641C2212yes—
103#2641C2211yescharacteristic
104#2640C2212yes—
105#2640C2211yescharacteristic
106#2638C2214yes—
107#2630C2214yes—
108#2629C2212yes—
109#2629C2212yes—
110#2628C2212yes—
111#2620C2212yes—
112#2620C2211yescharacteristic
113#2620C2211yescharacteristic
114#2620C2212yes—
115#2620C2212yes—
116#2619C2212yes—
117#2619C2211yescharacteristic
118#2619C2211yescharacteristic
119#2619C2212yes—
120#2618C2214yes—
121#2616C2212yes—
122#2615C2212yes—
123#2602C2214yes—
124#2602C2214yes—
125#2600C2214yes—
126#2587C2214yes—
127#2587C2214yes—
128#2586C2214yes—
129#2585C2214yes—
130#2582C2211yescharacteristic
131#2574C2214yes—
132#2566C2214yes—
133#2563C2212yes—
134#2562C2212yes—
135#2558C2214yes—
136#2556C2214yes—
137#2552C2212yes—
138#2552C2212yes—
139#2551C2212yes—
140#2551C2212yes—
141#2547C2212yes—
142#2540C2212yes—
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2537C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2212yes—
152#2522C2214yes—
153#2522C2214yes—
154#2520C2214yes—
155#2513C2212yes—
156#2513C2212yes—
157#2512C2212yes—
158#2511C2212yes—
159#2500C2212yes—
160#2499C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2485C2212yes—
174#2485C2212yes—
175#2475C2214yes—
176#2470C2214yes—
177#2468C2214yes—
178#2466C2214yes—
179#2466C2214yes—
180#2465C2214yes—
181#2465C2214yes—
182#2463C2214yes—
183#2463C2214yes—
184#2462C2214yes—
185#2461C2214yes—
186#2460C2214yes—
187#2460C2214yes—
188#2458C2214yes—
189#2456C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2452C2214yes—
193#2452C2214yes—
194#2452C2212yes—
195#2452C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2439C2212yes—
201#2439C2212yes—
202#2432C2214yes—
203#2432C2214yes—
204#2423C2212yes—
205#2422C2214yes—
206#2422C2212yes—
207#2422C2212yes—
208#2422C2212yes—
209#2421C2212yes—
210#2420C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2214yes—
216#2415C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2407C2214yes—
223#2392C2214yes—
224#2392C2214yes—
225#2392C2212yes—
226#2392C2212yes—
227#2388C2214yes—
228#2388C2212yes—
229#2388C2212yes—
230#2388C2214yes—
231#2374C2212yes—
232#2374C2212yes—
233#2373C2212yes—
234#2373C2214yes—
235#2373C2212yes—
236#2370C2211yescharacteristic
237#2370C2211yescharacteristic
238#2367C2211yescharacteristic
239#2367C2211yescharacteristic
240#2363C2211yescharacteristic
241#2363C2211yescharacteristic
242#2363C2212yes—
243#2362C2211yescharacteristic
244#2362C2211yescharacteristic
245#2362C2212yes—
246#2361C2214yes—
247#2361C2212yes—
248#2361C2212yes—
249#2361C2212yes—
250#2360C2212yes—
251#2355C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic
254#2354C2211yescharacteristic
255#2354C2212yes—
256#2354C2212yes—
257#2352C2212yes—
258Q8×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264D4×C4⋊C4C2212yes—
265#2345C2212yes—
266#2344C2212yes—
267#2335C2214yes—
268#2331C2212yes—
269#2330C2212yes—
270#2326C2214yes—
271#2317C2212yes—
272#2314C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275#2311C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#127C2212yes—
281C4×#125C2212yes—
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2212yes—
286#2298C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#554—48no—
302#547—48no—
303#544—48no—
304#532—28no—
305#532—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317#529—28no—
318#529—28no—
319#529—48no—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366#520—48no—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#395C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#392C2314yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2312yes—
535#392C2312yes—
536#392C2312yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2311yescharacteristic
734#381C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2311yescharacteristic
814#376C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—48no—
823C2×#41—48no—
824C2×#41—84no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—24no—
861C4⋊Q8—28no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—48no—
866C4⋊Q8—82no—
867C4⋊Q8—82no—
868#127—24no—
869#127—24no—
870#127—24no—
871#126—28no—
872#126—28no—
873#126—48no—
874#126—84no—
875#125—24no—
876#125—24no—
877#125—28no—
878#125—44no—
879#125—48no—
880#125—48no—
881#124—24no—
882#124—24no—
883#124—28no—
884#124—24no—
885#124—24no—
886#124—48no—
887#124—84no—
888#123—28no—
889#123—28no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904#121—24no—
905#121—24no—
906#121—24no—
907#121—24no—
908#121—28no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—44no—
915#121—44no—
916#121—84no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—48no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—48no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—84no—
946C4×D4—84no—
947#117—24no—
948#117—28no—
949#117—28no—
950#117—24no—
951#117—24no—
952#117—28no—
953#117—48no—
954#117—42no—
955#117—44no—
956#117—44no—
957#117—44no—
958#117—44no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—82no—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—28no—
1100C2×C42#4118yescomplemented
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200#41—432no—
1201#41—832no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4C2×#4114yes—
1305C22×C4C2×#4114yes—
1306C22×C4C2×#4114yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4H(5,𝔽2)14yes—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—24no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—41no—
1486C42—42no—
1487C42—41no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—44no—
1499C42—41no—
1500C42—41no—
1501C42C2×#4114yes—
1502C42C2×#4114yes—
1503C42C2×#4114yes—
1504C42C2×#4114yes—
1505C42H(5,𝔽2)14yes—
1506C422−1+414yes—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23C22×#4112yes—
1542C23C2611yescharacteristic
1543Q8—48no—
1544Q8—44no—
1545Q8—44no—
1546Q8—88no—
1547Q8—164no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—44no—
1558D4—44no—
1559D4—44no—
1560D4—84no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—28no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—88no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—164no—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×2−1+412yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22C23×#4111yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×2−1+411yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22H(7,𝔽2)11yescharacteristic
1709C222−1+611yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—24no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—44no—
1724C4—44no—
1725C4—44no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4#346014yes—
1739C4#351114yes—
1740C2—42no—
1741C2—82no—
1742C2—82no—
1743C2—82no—
1744C2—82no—
1745C2C2×#346011yescharacteristic
1746C2C2×#351111yescharacteristic
1747C2#6285611yescharacteristic
1748C2#6291211yescharacteristic
1749C2#6291311yescharacteristic
1750C2#6292511yescharacteristic
1751C2#6292611yescharacteristic
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. #42923C2semidirect
2. #42920C2semidirect
3. #42660C2semidirect
4. #42658C2semidirect
5. #42044C2semidirect
6. #42043C2semidirect
7. #40969C2semidirect
8. #40953C2semidirect
9. #39763C2semidirect
10. #39761C2semidirect
11. #39555C2semidirect
12. #39552C2semidirect
13. #39507C2semidirect
14. #39505C2semidirect
15. #37759C2semidirect
16. #37756C2semidirect
17. #37621C2semidirect
18. #37620C2semidirect
19. #37593C2semidirect
20. #37591C2semidirect
21. #36559C2semidirect
22. #36555C2semidirect
23. #36127C2semidirect
24. #36114C2semidirect
25. #35699C2semidirect
26. #35697C2semidirect
27. #35688C2semidirect
28. #35682C2semidirect
29. #35282C2semidirect
30. #35275C2semidirect
31. #34624C2semidirect
32. #34624C2semidirect
33. #34242C2semidirect
34. #34207C2semidirect
35. #34151C2semidirect
1100. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#429232
#429202
#426602
#426582
#420442
#420432
#409692
#409532
#397632
#397612
#395552
#395522
#395072
#395052
#377592
#377562
#376212
#376202
#375932
#375912
#365592
#365552
#361272
#361142
#356992
#356972
#356882
#356822
#352822
#352752
#346242
#342422
#342072
#341512