Finite Group Databasebeta

← #7650688

Subgroups — #7650688

Order 512.

4764 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42500C212yesmaximal, complemented
2#42499C212yesmaximal, complemented
3#42498C212yesmaximal, complemented
4#42497C212yesmaximal, complemented
5#42495C212yesmaximal, complemented
6#42495C212yesmaximal, complemented
7#42494C212yesmaximal, complemented
8#42493C212yesmaximal, complemented
9#40613C214yesmaximal, complemented
10#40611C214yesmaximal, complemented
11#39976C212yesmaximal, complemented
12#39976C212yesmaximal, complemented
13#39973C212yesmaximal, complemented
14#39972C212yesmaximal, complemented
15#39498C212yesmaximal, complemented
16#38967C212yesmaximal, complemented
17#38966C212yesmaximal, complemented
18#38965C212yesmaximal, complemented
19#38097C214yesmaximal, complemented
20#37873C214yesmaximal, complemented
21#35640C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35543C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35529C211yesmaximal, characteristic
26#35515C211yesmaximal, characteristic
27#35335C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic
30#34938C211yesmaximal, characteristic, complemented
31#34815C211yesmaximal, characteristic, complemented
32C2×#2454C211yesmaximal, characteristic
33#34255C211yesmaximal, characteristic
34#34255C211yesmaximal, characteristic
35#34248C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#518C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2864C2212yescomplemented
44#2859C2212yescomplemented
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2848C2214yes—
48#2841C2214yescomplemented
49#2841C2214yescomplemented
50#2841C2214yescomplemented
51#2841C2214yescomplemented
52#2807C2214yescomplemented
53#2807C2214yescomplemented
54#2807C2214yescomplemented
55#2790C2214yescomplemented
56#2790C2214yescomplemented
57#2790C2214yescomplemented
58#2790C2214yescomplemented
59#2788C2214yescomplemented
60#2788C2214yescomplemented
61#2788C2214yescomplemented
62#2788C2214yescomplemented
63#2768C2214yescomplemented
64#2768C2214yescomplemented
65#2768C2214yescomplemented
66#2768C2214yescomplemented
67#2768C2214yescomplemented
68#2768C2214yescomplemented
69#2763C2214yescomplemented
70#2742C2214yescomplemented
71#2742C2214yescomplemented
72#2742C2214yescomplemented
73#2729C2214yescomplemented
74#2729C2214yescomplemented
75#2720C2214yescomplemented
76#2720C2214yescomplemented
77#2720C2214yescomplemented
78#2720C2214yescomplemented
79#2704C2214yescomplemented
80#2704C2214yescomplemented
81#2704C2214yescomplemented
82#2704C2214yescomplemented
83#2677C2214yescomplemented
84#2667C2214yescomplemented
85#2667C2214yescomplemented
86#2667C2214yescomplemented
87#2665C2214yescomplemented
88#2660C2212yescomplemented
89#2660C2212yescomplemented
90#2659C2214yescomplemented
91#2647C2212yescomplemented
92#2647C2212yescomplemented
93#2646C2214yescomplemented
94#2629C2214yescomplemented
95#2629C2214yescomplemented
96#2628C2214yescomplemented
97#2628C2214yescomplemented
98#2627C2214yescomplemented
99#2627C2214yescomplemented
100#2626C2214yes—
101#2584C2212yescomplemented
102#2584C2212yescomplemented
103#2584C2212yescomplemented
104#2584C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2583C2214yes—
108#2583C2214yes—
109#2583C2214yes—
110#2580C2212yes—
111#2580C2212yes—
112#2580C2212yes—
113#2580C2212yes—
114#2571C2212yescomplemented
115#2571C2212yescomplemented
116#2570C2212yescomplemented
117#2570C2212yescomplemented
118#2570C2212yescomplemented
119#2570C2212yescomplemented
120#2567C2212yescomplemented
121#2566C2212yes—
122#2566C2212yes—
123#2566C2212yes—
124#2566C2212yes—
125#2563C2212yes—
126#2563C2212yes—
127#2552C2212yescomplemented
128#2552C2212yescomplemented
129#2552C2212yescomplemented
130#2552C2211yescharacteristic, complemented
131#2552C2212yescomplemented
132#2552C2212yescomplemented
133#2552C2212yescomplemented
134#2552C2211yescharacteristic, complemented
135#2552C2212yescomplemented
136#2551C2211yescharacteristic, complemented
137#2551C2212yescomplemented
138#2551C2211yescharacteristic, complemented
139#2550C2212yescomplemented
140#2550C2211yescharacteristic, complemented
141#2550C2212yescomplemented
142#2550C2211yescharacteristic, complemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2211yescharacteristic, complemented
147#2550C2212yescomplemented
148#2550C2211yescharacteristic, complemented
149#2549C2212yes—
150#2549C2212yes—
151#2549C2214yes—
152#2546C2212yescomplemented
153#2542C2212yes—
154#2542C2212yes—
155#2538C2212yes—
156#2538C2212yes—
157#2538C2212yes—
158#2538C2212yes—
159#2509C2212yescomplemented
160#2509C2212yescomplemented
161#2509C2212yescomplemented
162#2509C2211yescharacteristic, complemented
163#2509C2211yescharacteristic, complemented
164#2508C2212yescomplemented
165#2508C2212yescomplemented
166#2508C2211yescharacteristic, complemented
167#2508C2212yescomplemented
168#2508C2211yescharacteristic, complemented
169#2507C2212yescomplemented
170#2507C2212yescomplemented
171#2507C2212yescomplemented
172#2507C2211yescharacteristic, complemented
173#2507C2211yescharacteristic, complemented
174#2506C2212yescomplemented
175#2506C2212yescomplemented
176#2506C2211yescharacteristic, complemented
177#2506C2212yescomplemented
178#2506C2211yescharacteristic, complemented
179#2505C2212yes—
180#2505C2214yes—
181#2505C2214yes—
182#2505C2214yes—
183#2505C2212yes—
184#2502C2214yes—
185#2473C2214yes—
186#2473C2214yes—
187#2473C2214yes—
188#2473C2212yes—
189#2473C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2454C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2442C2214yescomplemented
207#2442C2214yescomplemented
208#2442C2214yescomplemented
209#2441C2214yescomplemented
210#2441C2214yescomplemented
211#2441C2214yescomplemented
212#2440C2212yes—
213#2440C2212yes—
214#2440C2214yes—
215#2440C2214yescomplemented
216#2439C2214yescomplemented
217#2438C2214yescomplemented
218#2438C2214yescomplemented
219#2438C2214yescomplemented
220#2438C2214yescomplemented
221#2437C2214yes—
222#2437C2214yes—
223#2437C2214yes—
224#2437C2214yes—
225#2402C2212yescomplemented
226#2402C2212yescomplemented
227#2399C2212yescomplemented
228#2399C2212yescomplemented
229C2×#399C2212yes—
230C2×#396C2212yes—
231#2357C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2357C2212yes—
235#2354C2212yes—
236#2354C2212yes—
237#2354C2212yes—
238#2354C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241#2349C2212yes—
242#2349C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yes—
247#2342C2214yes—
248#2342C2214yes—
249#2342C2214yes—
250#2342C2214yes—
251#2329C2214yescomplemented
252#2329C2214yescomplemented
253#2319C2212yes—
254#2319C2212yes—
255#2319C2212yes—
256#2319C2212yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2214yescomplemented
266#2316C2211yescharacteristic
267#2316C2214yescomplemented
268#2315C2214yes—
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×C4⋊Q8C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#385C2212yes—
290C2×#385C2214yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#380C2212yes—
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#544—44no—
302#533—44no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#125—44no—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340#518—44no—
341#518Q8116yescomplemented
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4—44no—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2314yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#395C2312yes—
494#395C2312yes—
495#395C2312yes—
496#395C2312yes—
497#395C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2314yes—
709#384C2314yes—
710#384C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#379C2314yes—
756#379C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C25C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4C2×Q818yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4—44no—
829C23×C4—44no—
830C23×C4—82no—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C4⋊Q8—44no—
848C4⋊Q8—42no—
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—84no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—42no—
861#125—42no—
862#125—42no—
863#125—42no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—84no—
869#125—84no—
870#125—84no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—84no—
879C22⋊Q8—84no—
880C22⋊Q8—84no—
881C22⋊Q8—84no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4C2×Q8116yes—
895C4×D4C2×Q8116yes—
896C4×D4C2×Q8116yes—
897C4×D4C2×Q8116yes—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—48no—
905#117—84no—
906#117—84no—
907#117—84no—
908#117C2×Q818yes—
909#117C2×Q818yes—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—48no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—84no—
919C2×C4⋊C4—82no—
920C2×C4⋊C4—82no—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4—82no—
1029C2×C22⋊C4—82no—
1030C2×C22⋊C4C2×Q8132yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C22×Q818yes—
1177C24C2514yes—
1178C24C2511yescharacteristic
1179C2×Q8—24no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×D4—232no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4C22×Q818yes—
1200C2×D4C22×Q818yes—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—41no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—816no—
1245C22×C4C22×Q8116yes—
1246C22×C4C22×Q8116yes—
1247C22×C4C22×Q814yes—
1248C22×C4H(5,𝔽2)14yes—
1249C22×C42−1+414yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—41no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
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—42no—
1382C4⋊C4C22×Q814yes—
1383C4⋊C4C22×Q814yes—
1384C4⋊C4C22×Q814yes—
1385C4⋊C4C22×Q814yes—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4C22×Q818yes—
1413C22⋊C4C22×Q818yes—
1414C22⋊C4C22×Q8116yes—
1415C22⋊C4C22×Q8116yes—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—44no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42C22×Q818yes—
1447C42C22×Q818yes—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—216no—
1459C23—48no—
1460C23—48no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23C23×Q818yes—
1466C23C23×Q812yes—
1467C23C2×H(5,𝔽2)12yes—
1468C23C2×2−1+412yes—
1469C23C2611yescharacteristic
1470Q8—84no—
1471Q8—84no—
1472Q8—84no—
1473Q8—84no—
1474Q8—164no—
1475D4—216no—
1476D4—216no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—416no—
1565C2×C4—416no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—88no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—164no—
1578C2×C4—164no—
1579C2×C4#544116yes—
1580C2×C4C23×Q814yes—
1581C2×C4C23×Q814yes—
1582C2×C4C23×Q814yes—
1583C2×C4C23×Q814yes—
1584C2×C4C23×Q812yes—
1585C2×C4C23×Q812yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—28no—
1599C22—28no—
1600C22—28no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—816no—
1606C22C2×#54414yes—
1607C22C24×Q811yescharacteristic
1608C22C22×H(5,𝔽2)11yescharacteristic
1609C22C22×2−1+411yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22H(7,𝔽2)11yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C4—24no—
1615C4—24no—
1616C4—24no—
1617C4—24no—
1618C4—22no—
1619C4—22no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—44no—
1628C4—44no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4C2×#54414yes—
1646C4C2×#54414yes—
1647C2—24no—
1648C2—48no—
1649C2C22×#54411yescharacteristic
1650C2#6283111yescharacteristic
1651C2#6288111yescharacteristic
1652C2#6292411yescharacteristic
1653C2#6295511yescharacteristic
1654C2#6298911yescharacteristic
1655C2#6298911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42500C2semidirect
2. #42499C2semidirect
3. #42498C2semidirect
4. #42497C2semidirect
5. #42495C2semidirect
6. #42495C2semidirect
7. #42494C2semidirect
8. #42493C2semidirect
9. #40613C2semidirect
10. #40611C2semidirect
11. #39976C2semidirect
12. #39976C2semidirect
13. #39973C2semidirect
14. #39972C2semidirect
15. #39498C2semidirect
16. #38967C2semidirect
17. #38966C2semidirect
18. #38965C2semidirect
19. #38097C2semidirect
20. #37873C2semidirect
21. #35640C2semidirect
22. #35566C2semidirect
23. #35543C2semidirect
24. #35543C2semidirect
27. #35335C2semidirect
28. #35265C2semidirect
30. #34938C2semidirect
31. #34815C2semidirect
43. #2864C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
48. #2841C22semidirect
49. #2841C22semidirect
50. #2841C22semidirect
51. #2841C22semidirect
52. #2807C22semidirect
53. #2807C22semidirect
54. #2807C22semidirect
55. #2790C22semidirect
56. #2790C22semidirect
57. #2790C22semidirect
58. #2790C22semidirect
59. #2788C22semidirect
60. #2788C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
63. #2768C22semidirect
64. #2768C22semidirect
65. #2768C22semidirect
66. #2768C22semidirect
67. #2768C22semidirect
68. #2768C22semidirect
69. #2763C22semidirect
70. #2742C22semidirect
71. #2742C22semidirect
72. #2742C22semidirect
73. #2729C22semidirect
74. #2729C22semidirect
75. #2720C22semidirect
76. #2720C22semidirect
77. #2720C22semidirect
78. #2720C22semidirect
79. #2704C22semidirect
80. #2704C22semidirect
81. #2704C22semidirect
82. #2704C22semidirect
83. #2677C22semidirect
84. #2667C22semidirect
85. #2667C22semidirect
86. #2667C22semidirect
87. #2665C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2659C22semidirect
91. #2647C22semidirect
92. #2647C22semidirect
93. #2646C22semidirect
94. #2629C22semidirect
95. #2629C22semidirect
96. #2628C22semidirect
97. #2628C22semidirect
98. #2627C22semidirect
99. #2627C22semidirect
101. #2584C22semidirect
102. #2584C22semidirect
103. #2584C22semidirect
104. #2584C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
114. #2571C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
119. #2570C22semidirect
120. #2567C22semidirect
127. #2552C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
134. #2552C22semidirect
135. #2552C22semidirect
136. #2551C22semidirect
137. #2551C22semidirect
138. #2551C22semidirect
139. #2550C22semidirect
140. #2550C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
152. #2546C22semidirect
159. #2509C22semidirect
160. #2509C22semidirect
161. #2509C22semidirect
162. #2509C22semidirect
163. #2509C22semidirect
164. #2508C22semidirect
165. #2508C22semidirect
166. #2508C22semidirect
167. #2508C22semidirect
168. #2508C22semidirect
169. #2507C22semidirect
170. #2507C22semidirect
171. #2507C22semidirect
172. #2507C22semidirect
173. #2507C22semidirect
174. #2506C22semidirect
175. #2506C22semidirect
176. #2506C22semidirect
177. #2506C22semidirect
178. #2506C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
208. #2442C22semidirect
209. #2441C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
215. #2440C22semidirect
216. #2439C22semidirect
217. #2438C22semidirect
218. #2438C22semidirect
219. #2438C22semidirect
220. #2438C22semidirect
225. #2402C22semidirect
226. #2402C22semidirect
227. #2399C22semidirect
228. #2399C22semidirect
251. #2329C22semidirect
252. #2329C22semidirect
265. #2317C22semidirect
267. #2316C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
341. #518Q8semidirect

Maximal subgroups

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

subgroupindex
#425002
#424992
#424982
#424972
#424952
#424942
#424932
#406132
#406112
#399762
#399732
#399722
#394982
#389672
#389662
#389652
#380972
#378732
#356402
#355662
#355432
#355292
#355152
#353352
#352652
#351722
#349382
#348152
C2×#24542
#342552
#342482