Finite Group Databasebeta

← #8424431

Subgroups — #8424431

Order 512.

4966 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59218C211yesmaximal, characteristic, complemented
4#59155C212yesmaximal, complemented
5#59062C212yesmaximal, complemented
6#55479C214yesmaximal, complemented
7#55366C214yesmaximal, complemented
8#53132C212yesmaximal, complemented
9#53123C212yesmaximal, complemented
10#53123C212yesmaximal, complemented
11#52959C212yesmaximal, complemented
12#52350C214yesmaximal, complemented
13#42939C212yesmaximal, complemented
14#42638C212yesmaximal, complemented
15#42577C212yesmaximal, complemented
16#42439C212yesmaximal, complemented
17#40518C214yesmaximal, complemented
18#39736C211yesmaximal, characteristic, complemented
19#39384C212yesmaximal, complemented
20#39352C211yesmaximal, characteristic, complemented
21#39348C212yesmaximal, complemented
22#39180C211yesmaximal, characteristic, complemented
23#38965C211yesmaximal, characteristic, complemented
24#38042C212yesmaximal, complemented
25#37706C212yesmaximal, complemented
26#37643C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37620C212yesmaximal, complemented
29#37502C212yesmaximal, complemented
30#36596C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#36117C211yesmaximal, characteristic, complemented
33C2×#2552C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34763C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#540C2212yes—
40C2×#539C2214yes—
41C2×#529C2212yes—
42C2×#529C2212yes—
43C22×#125C2212yes—
44#2859C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic
47#2856C2212yes—
48#2854C2212yes—
49#2845C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2836C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2827C2214yes—
58#2823C2214yes—
59#2823C2214yes—
60#2823C2214yes—
61#2814C2214yes—
62#2814C2214yes—
63#2790C2214yes—
64#2783C2214yes—
65#2768C2214yes—
66#2761C2214yes—
67#2755C2214yes—
68#2747C2214yes—
69#2732C2214yes—
70#2732C2214yes—
71#2727C2214yes—
72#2727C2214yes—
73#2726C2214yes—
74#2725C2214yes—
75#2722C2214yes—
76#2722C2214yes—
77#2721C2214yes—
78#2720C2214yes—
79#2720C2214yes—
80#2718C2214yes—
81#2718C2214yes—
82#2711C2214yes—
83#2711C2214yes—
84#2707C2214yes—
85#2707C2214yes—
86#2707C2214yes—
87#2706C2214yes—
88#2704C2214yes—
89#2704C2214yes—
90#2695C2214yes—
91#2695C2214yes—
92#2694C2214yes—
93#2694C2214yes—
94#2691C2214yes—
95#2687C2214yes—
96#2681C2214yes—
97#2680C2214yes—
98#2672C2214yes—
99#2671C2214yes—
100#2667C2214yes—
101#2664C2214yes—
102#2649C2214yes—
103#2647C2212yes—
104#2644C2212yes—
105#2641C2212yes—
106#2630C2214yes—
107#2629C2214yes—
108#2629C2212yes—
109#2629C2212yes—
110#2629C2212yes—
111#2629C2212yes—
112#2629C2212yes—
113#2629C2214yes—
114#2624C2212yes—
115#2624C2212yes—
116#2623C2214yes—
117#2620C2212yes—
118#2620C2214yes—
119#2620C2212yes—
120#2618C2214yes—
121#2618C2214yes—
122#2618C2214yes—
123#2601C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2582C2212yes—
127#2579C2214yes—
128#2566C2212yes—
129#2566C2212yes—
130#2566C2212yes—
131#2556C2214yes—
132#2554C2214yes—
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2212yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2552C2214yes—
145#2552C2212yes—
146#2552C2211yescharacteristic
147#2552C2212yes—
148#2552C2212yes—
149#2552C2212yes—
150#2550C2212yes—
151#2548C2211yescharacteristic
152#2543C2214yes—
153#2542C2212yes—
154#2541C2211yescharacteristic
155#2538C2212yes—
156#2538C2211yescharacteristic
157#2538C2212yes—
158#2538C2212yes—
159#2538C2212yes—
160#2538C2212yes—
161#2537C2212yes—
162#2522C2212yes—
163#2521C2212yes—
164#2520C2212yes—
165#2519C2212yes—
166#2512C2212yes—
167#2512C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2211yescharacteristic
174#2511C2211yescharacteristic
175#2507C2212yes—
176#2507C2211yescharacteristic
177#2507C2212yes—
178#2506C2212yes—
179#2506C2211yescharacteristic
180#2505C2212yes—
181#2504C2212yes—
182#2502C2212yes—
183#2502C2211yescharacteristic
184#2501C2212yes—
185#2501C2212yes—
186#2501C2211yescharacteristic
187#2500C2212yes—
188#2497C2211yescharacteristic
189#2497C2212yes—
190#2497C2212yes—
191#2496C2212yes—
192#2496C2211yescharacteristic
193#2492C2211yescharacteristic
194#2491C2211yescharacteristic
195#2490C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2488C2212yes—
199#2487C2211yescharacteristic
200#2486C2211yescharacteristic
201#2485C2212yes—
202#2479C2214yes—
203#2478C2214yes—
204#2473C2214yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2454C2212yes—
211#2453C2212yes—
212#2450C2212yes—
213#2449C2214yes—
214#2449C2214yes—
215#2448C2212yes—
216#2447C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2443C2214yes—
221#2443C2214yes—
222#2442C2212yes—
223#2441C2212yes—
224#2440C2211yescharacteristic
225#2440C2212yes—
226#2440C2211yescharacteristic
227#2427C2212yes—
228#2425C2214yes—
229#2425C2212yes—
230#2425C2214yes—
231#2425C2214yes—
232#2425C2214yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2422C2212yes—
237#2420C2212yes—
238#2419C2214yes—
239#2417C2214yes—
240#2417C2214yes—
241#2417C2212yes—
242#2417C2211yescharacteristic
243#2416C2214yes—
244#2416C2214yes—
245#2416C2211yescharacteristic
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yes—
249#2416C2212yes—
250#2413C2214yes—
251#2402C2212yes—
252#2396C2212yes—
253#2396C2212yes—
254#2395C2212yes—
255C2×#398C2214yes—
256#2370C2212yes—
257#2366C2211yescharacteristic
258#2366C2211yescharacteristic
259#2363C2212yes—
260#2362C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2355C2211yescharacteristic
266#2354C2212yes—
267#2354C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2214yes—
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2212yes—
273#2330C2212yes—
274#2324C2212yes—
275#2316C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288C2×#389C2212yes—
289C2×#389C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295C2×#384C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#554—48no—
300#553—48no—
301#553—48no—
302#540—48no—
303#539—416no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308#529—48no—
309#529—48no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125—48no—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2314yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2312yes—
473#398C2312yes—
474#398C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#396C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2312yes—
524#395C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#393C2312yes—
546#393C2312yes—
547#392C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2314yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2311yescharacteristic
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2314yes—
722#384C2314yes—
723#384C2312yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2314yes—
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#381C2312yes—
744#381C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850#127—24no—
851#127—44no—
852#126—48no—
853#126—44no—
854#126—44no—
855#126—48no—
856#126—48no—
857#126—48no—
858#126—48no—
859#125—28no—
860#125—28no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—48no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—48no—
871#125—48no—
872#124—44no—
873#124—44no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—48no—
880#123—48no—
881#123—44no—
882#123—44no—
883#123—48no—
884#123—48no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—44no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—42no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895#121—28no—
896#121—28no—
897#121—24no—
898#121—24no—
899#121—44no—
900#121—48no—
901#121—44no—
902#121—44no—
903#121—48no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—44no—
911C4×Q8—24no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—216no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—48no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—44no—
937#117—48no—
938#117—44no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—48no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—48no—
948C2×C4⋊C4—48no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C42—28no—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—44no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2514yes—
1191C24C2511yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—22no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4H(5,𝔽2)14yes—
1281C22×C42−1+414yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4H(5,𝔽2)14yes—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—22no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4H(5,𝔽2)14yes—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—28no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—42no—
1478C42—42no—
1479C42—41no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C422−1+414yes—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—24no—
1492C23—24no—
1493C23—21no—
1494C23—24no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—24no—
1500C23—22no—
1501C23—21no—
1502C23—24no—
1503C23—24no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—24no—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×2−1+412yes—
1512C23C2611yescharacteristic
1513Q8—44no—
1514Q8—84no—
1515Q8—84no—
1516D4—44no—
1517D4—416no—
1518D4—48no—
1519D4—48no—
1520D4—44no—
1521D4—48no—
1522D4—84no—
1523D4—84no—
1524D4—164no—
1525D4—164no—
1526D4—164no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—88no—
1618C2×C4—88no—
1619C2×C4—88no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—164no—
1623C2×C4—164no—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4C2×H(5,𝔽2)14yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4#58512yes—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—42no—
1644C22—44no—
1645C22—41no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—41no—
1654C22—44no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—44no—
1659C22—42no—
1660C22—41no—
1661C22—44no—
1662C22—42no—
1663C22#354814yes—
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×2−1+411yescharacteristic
1668C22C22×2−1+411yescharacteristic
1669C22C2×#58511yescharacteristic
1670C222−1+611yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—24no—
1675C4—22no—
1676C4—22no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—44no—
1685C4—42no—
1686C4—44no—
1687C4—44no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4#355214yes—
1701C4#355914yes—
1702C2—24no—
1703C2—81no—
1704C2—82no—
1705C2—84no—
1706C2C2×#355911yescharacteristic
1707C2C2×#355211yescharacteristic
1708C2C2×#354811yescharacteristic
1709C2#6291411yescharacteristic
1710C2#6291511yescharacteristic
1711C2#6295611yescharacteristic
1712C2#6301411yescharacteristic
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. #59823C2semidirect
2. #59305C2semidirect
3. #59218C2semidirect
4. #59155C2semidirect
5. #59062C2semidirect
6. #55479C2semidirect
7. #55366C2semidirect
8. #53132C2semidirect
9. #53123C2semidirect
10. #53123C2semidirect
11. #52959C2semidirect
12. #52350C2semidirect
13. #42939C2semidirect
14. #42638C2semidirect
15. #42577C2semidirect
16. #42439C2semidirect
17. #40518C2semidirect
18. #39736C2semidirect
19. #39384C2semidirect
20. #39352C2semidirect
21. #39348C2semidirect
22. #39180C2semidirect
23. #38965C2semidirect
24. #38042C2semidirect
25. #37706C2semidirect
26. #37643C2semidirect
27. #37625C2semidirect
28. #37620C2semidirect
29. #37502C2semidirect
30. #36596C2semidirect
31. #36182C2semidirect
32. #36117C2semidirect
33. C2×#2552C2semidirect
34. #34772C2semidirect
35. #34763C2semidirect

Maximal subgroups

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

subgroupindex
#598232
#593052
#592182
#591552
#590622
#554792
#553662
#531322
#531232
#529592
#523502
#429392
#426382
#425772
#424392
#405182
#397362
#393842
#393522
#393482
#391802
#389652
#380422
#377062
#376432
#376252
#376202
#375022
#365962
#361822
#361172
C2×#25522
#347722
#347632