Finite Group Databasebeta

← #7689437

Subgroups — #7689437

Order 512.

5087 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59854C212yesmaximal, complemented
3#59564C212yesmaximal, complemented
4#59339C214yesmaximal, complemented
5#59235C211yesmaximal, characteristic, complemented
6#59230C211yesmaximal, characteristic, complemented
7#59225C212yesmaximal, complemented
8#59225C212yesmaximal, complemented
9#45170C212yesmaximal, complemented
10#45133C212yesmaximal, complemented
11#43621C214yesmaximal, complemented
12#43514C214yesmaximal, complemented
13#39506C211yesmaximal, characteristic, complemented
14#39504C212yesmaximal, complemented
15#38943C211yesmaximal, characteristic, complemented
16#38939C212yesmaximal, complemented
17#38287C212yesmaximal, complemented
18#38282C214yesmaximal, complemented
19#36288C211yesmaximal, characteristic, complemented
20#36261C211yesmaximal, characteristic, complemented
21#36259C211yesmaximal, characteristic, complemented
22#36259C211yesmaximal, characteristic, complemented
23#36257C212yesmaximal, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36176C212yesmaximal, complemented
26#36164C212yesmaximal, complemented
27#36042C212yesmaximal, complemented
28#36020C212yesmaximal, complemented
29#34800C211yesmaximal, characteristic, complemented
30C2×#2508C212yesmaximal, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#547C2212yes—
40C2×#547C2212yes—
41C2×#520C2212yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2862C2212yes—
45#2859C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2854C2212yes—
50#2854C2212yes—
51#2850C2214yes—
52#2809C2214yes—
53#2809C2214yes—
54#2808C2214yes—
55#2803C2214yes—
56#2785C2214yes—
57#2784C2214yes—
58#2783C2214yes—
59#2783C2214yes—
60#2783C2214yes—
61#2783C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2775C2214yes—
65#2775C2214yes—
66#2775C2214yes—
67#2769C2214yes—
68#2769C2214yes—
69#2769C2214yes—
70#2744C2214yes—
71#2744C2214yes—
72#2744C2214yes—
73#2642C2212yes—
74#2639C2214yes—
75#2621C2212yes—
76#2618C2214yes—
77#2612C2214yes—
78#2612C2214yes—
79#2612C2214yes—
80#2609C2214yes—
81#2593C2214yes—
82#2591C2214yes—
83#2584C2212yes—
84#2583C2214yes—
85#2574C2214yes—
86#2574C2214yes—
87#2574C2214yes—
88#2571C2212yes—
89#2571C2212yes—
90#2568C2212yes—
91#2568C2212yes—
92#2563C2212yes—
93#2563C2212yes—
94#2562C2212yes—
95#2552C2211yescharacteristic
96#2551C2211yescharacteristic
97#2550C2212yes—
98#2549C2214yes—
99#2546C2211yescharacteristic
100#2546C2212yes—
101#2546C2211yescharacteristic
102#2543C2214yes—
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2536C2212yes—
106#2532C2214yes—
107#2532C2214yes—
108#2532C2212yes—
109#2529C2214yes—
110#2529C2214yes—
111#2529C2214yes—
112#2526C2212yes—
113#2526C2214yes—
114#2518C2214yes—
115#2518C2212yes—
116#2513C2212yes—
117#2513C2211yescharacteristic
118#2513C2212yes—
119#2508C2212yes—
120#2508C2214yes—
121#2508C2212yes—
122#2508C2212yes—
123#2508C2212yes—
124#2508C2212yes—
125#2508C2212yes—
126#2508C2212yes—
127#2508C2214yes—
128#2508C2214yes—
129#2508C2212yes—
130#2508C2214yes—
131#2508C2212yes—
132#2508C2214yes—
133#2508C2212yes—
134#2508C2211yescharacteristic
135#2504C2214yes—
136#2503C2214yes—
137#2503C2214yes—
138#2500C2211yescharacteristic
139#2497C2212yes—
140#2497C2212yes—
141#2497C2211yescharacteristic
142#2495C2212yes—
143#2495C2212yes—
144#2495C2214yes—
145#2495C2212yes—
146#2492C2212yes—
147#2492C2212yes—
148#2491C2211yescharacteristic
149#2489C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2488C2214yes—
156#2488C2214yes—
157#2488C2214yes—
158#2488C2214yes—
159#2488C2214yes—
160#2488C2214yes—
161#2488C2214yes—
162#2488C2214yes—
163#2486C2214yes—
164#2486C2212yes—
165#2486C2212yes—
166#2485C2211yescharacteristic
167#2485C2212yes—
168#2485C2212yes—
169#2474C2214yes—
170#2459C2212yes—
171#2440C2212yes—
172#2440C2212yes—
173#2439C2212yes—
174#2439C2212yes—
175#2439C2211yescharacteristic
176#2429C2212yes—
177#2429C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2425C2214yes—
181#2425C2214yes—
182#2425C2214yes—
183#2425C2214yes—
184#2420C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2414C2211yescharacteristic
192#2413C2214yes—
193#2413C2214yes—
194#2413C2214yes—
195#2413C2214yes—
196#2398C2212yes—
197C2×#400C2214yes—
198#2392C2212yes—
199C2×#398C2214yes—
200#2369C2212yes—
201#2369C2212yes—
202#2365C2211yescharacteristic
203#2365C2211yescharacteristic
204#2363C2212yes—
205#2362C2211yescharacteristic
206#2362C2211yescharacteristic
207#2361C2212yes—
208#2361C2212yes—
209#2360C2212yes—
210#2359C2214yes—
211#2359C2212yes—
212#2359C2212yes—
213#2356C2212yes—
214#2355C2211yescharacteristic
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2355C2211yescharacteristic
219#2354C2211yescharacteristic
220#2354C2212yes—
221#2353C2214yes—
222#2352C2212yes—
223#2352C2212yes—
224#2352C2214yes—
225#2352C2212yes—
226#2352C2212yes—
227#2349C2212yes—
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233#2347C2212yes—
234#2346C2212yes—
235#2346C2214yes—
236#2346C2212yes—
237#2346C2212yes—
238#2346C2212yes—
239#2345C2212yes—
240#2344C2212yes—
241#2344C2212yes—
242#2344C2212yes—
243#2343C2214yes—
244#2343C2214yes—
245#2343C2214yes—
246#2343C2214yes—
247#2339C2212yes—
248#2339C2211yescharacteristic
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2211yescharacteristic
253#2339C2212yes—
254#2323C2212yes—
255#2322C2214yes—
256#2320C2212yes—
257#2320C2212yes—
258#2318C2214yes—
259#2318C2214yes—
260#2314C2212yes—
261#2313C2214yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#124C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×#123C2212yes—
269C4×#123C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274#2298C2212yes—
275#2295C2212yes—
276#2295C2212yes—
277#2293C2211yescharacteristic
278C2×#389C2212yes—
279C2×#389C2212yes—
280C2×#389C2212yes—
281C2×#389C2212yes—
282#2290C2214yes—
283#2290C2214yes—
284C2×#387C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2283C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290C2×#382C2212yes—
291C2×#382C2214yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#554—48no—
303#547—28no—
304#547—28no—
305#547—48no—
306#547—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2311yescharacteristic
340#520—216no—
341C4×#41—28no—
342C4×#41—28no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2314yes—
393C22×C42C2312yes—
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2314yes—
398C22×C42C2312yes—
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#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2314yes—
475#393C2312yes—
476#392C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2312yes—
677#383C2314yes—
678#382C2312yes—
679#382C2314yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#381C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#125—44no—
867#125—44no—
868#124—44no—
869#123—216no—
870#123—28no—
871#123—28no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—28no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—28no—
887#121—28no—
888#121—24no—
889#121—42no—
890#121—48no—
891#121—48no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—216no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4#4118yes—
919C4×D4#4118yes—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—28no—
925#117—216no—
926#117—28no—
927#117—44no—
928#117—48no—
929#117—42no—
930#117—44no—
931C2×C4⋊C4—216no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4—48no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—28no—
1059C2×C42—28no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42—48no—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2414yes—
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183#41—416no—
1184#41—416no—
1185#41—432no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4C2×#4114yes—
1223C2×D4C2×#4114yes—
1224C2×D4H(5,𝔽2)14yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4C2×#4118yes—
1281C22×C4C2×#4118yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—41no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C4⋊C42−1+414yes—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—44no—
1415C22⋊C4—41no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4C2×#4118yes—
1428C22⋊C4C2×#4118yes—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—28no—
1442C42—24no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—28no—
1452C42—24no—
1453C42—42no—
1454C42—44no—
1455C42—42no—
1456C42—44no—
1457C42—42no—
1458C42—41no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—41no—
1464C42C2×#4114yes—
1465C42C2×#4114yes—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23C22×#4114yes—
1492C23C22×#4114yes—
1493C23C2×H(5,𝔽2)14yes—
1494C23C2611yescharacteristic
1495Q8—44no—
1496Q8—44no—
1497Q8—48no—
1498Q8—84no—
1499Q8—164no—
1500D4—44no—
1501D4—48no—
1502D4—48no—
1503D4—416no—
1504D4—44no—
1505D4—84no—
1506D4—84no—
1507D4#555116yes—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—216no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—416no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—416no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—82no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4114yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4C2×2−1+414yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—24no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22C2×#55518yes—
1648C22C23×#4111yescharacteristic
1649C22C23×#4111yescharacteristic
1650C22C22×H(5,𝔽2)11yescharacteristic
1651C22C22×2−1+411yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C222−1+611yescharacteristic
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—24no—
1659C4—24no—
1660C4—22no—
1661C4—24no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—44no—
1673C4—41no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4C2×#55514yes—
1685C4#351514yes—
1686C2—28no—
1687C2—81no—
1688C2—81no—
1689C2—82no—
1690C2C22×#55511yescharacteristic
1691C2C2×#351511yescharacteristic
1692C2#6278111yescharacteristic
1693C2#6292111yescharacteristic
1694C2#6299311yescharacteristic
1695C2#6300111yescharacteristic
1696C2#6301311yescharacteristic
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. #59869C2semidirect
2. #59854C2semidirect
3. #59564C2semidirect
4. #59339C2semidirect
5. #59235C2semidirect
6. #59230C2semidirect
7. #59225C2semidirect
8. #59225C2semidirect
9. #45170C2semidirect
10. #45133C2semidirect
11. #43621C2semidirect
12. #43514C2semidirect
13. #39506C2semidirect
14. #39504C2semidirect
15. #38943C2semidirect
16. #38939C2semidirect
17. #38287C2semidirect
18. #38282C2semidirect
19. #36288C2semidirect
20. #36261C2semidirect
21. #36259C2semidirect
22. #36259C2semidirect
23. #36257C2semidirect
24. #36209C2semidirect
25. #36176C2semidirect
26. #36164C2semidirect
27. #36042C2semidirect
28. #36020C2semidirect
29. #34800C2semidirect
30. C2×#2508C2semidirect
31. #34308C2semidirect
32. #34260C2semidirect
33. #34191C2semidirect
34. C4×#547C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#598542
#595642
#593392
#592352
#592302
#592252
#451702
#451332
#436212
#435142
#395062
#395042
#389432
#389392
#382872
#382822
#362882
#362612
#362592
#362572
#362092
#361762
#361642
#360422
#360202
#348002
C2×#25082
#343082
#342602
#341912
C4×#5472
#341272