Finite Group Databasebeta

← #7673887

Subgroups — #7673887

Order 512.

4998 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45415C212yesmaximal, complemented
2#45413C212yesmaximal, complemented
3#45361C212yesmaximal, complemented
4#45359C212yesmaximal, complemented
5#45180C212yesmaximal, complemented
6#44997C212yesmaximal, complemented
7#44946C212yesmaximal, complemented
8#44944C212yesmaximal, complemented
9#39685C214yesmaximal, complemented
10#39684C214yesmaximal, complemented
11#39604C214yesmaximal, complemented
12#39601C214yesmaximal, complemented
13#38966C212yesmaximal, complemented
14#38964C212yesmaximal, complemented
15#38961C212yesmaximal, complemented
16#38960C212yesmaximal, complemented
17#38106C212yesmaximal, complemented
18#38104C212yesmaximal, complemented
19#38100C212yesmaximal, complemented
20#38098C212yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35543C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35265C211yesmaximal, characteristic, complemented
26#35257C211yesmaximal, characteristic, complemented
27#35224C211yesmaximal, characteristic, complemented
28#35151C211yesmaximal, characteristic, complemented
29#34634C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34201C211yesmaximal, characteristic
33#34200C211yesmaximal, characteristic
34#34065C211yesmaximal, characteristic
35C2×#2317C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45C23×C4⋊C4C2211yescharacteristic
46#2864C2212yescomplemented
47#2859C2212yescomplemented
48#2857C2212yescomplemented
49#2855C2214yes—
50#2851C2212yescomplemented
51#2848C2214yes—
52#2807C2214yes—
53#2804C2214yes—
54#2792C2214yescomplemented
55#2792C2214yescomplemented
56#2791C2214yescomplemented
57#2791C2214yescomplemented
58#2790C2214yes—
59#2790C2214yes—
60#2790C2214yescomplemented
61#2790C2214yescomplemented
62#2788C2214yes—
63#2784C2214yes—
64#2780C2214yes—
65#2780C2214yes—
66#2780C2214yes—
67#2774C2214yescomplemented
68#2774C2214yescomplemented
69#2768C2214yes—
70#2768C2214yescomplemented
71#2768C2214yescomplemented
72#2763C2214yes—
73#2763C2214yescomplemented
74#2763C2214yescomplemented
75#2755C2214yescomplemented
76#2755C2214yescomplemented
77#2748C2214yes—
78#2732C2214yes—
79#2729C2214yes—
80#2720C2214yes—
81#2720C2214yescomplemented
82#2720C2214yescomplemented
83#2692C2214yes—
84#2647C2212yescomplemented
85#2647C2212yescomplemented
86#2629C2211yescharacteristic
87#2629C2211yescharacteristic
88#2629C2211yescharacteristic
89#2629C2211yescharacteristic
90#2629C2212yescomplemented
91#2628C2211yescharacteristic
92#2628C2211yescharacteristic
93#2628C2211yescharacteristic
94#2628C2211yescharacteristic
95#2628C2212yescomplemented
96#2627C2212yes—
97#2627C2212yes—
98#2627C2214yes—
99#2626C2212yes—
100#2626C2214yes—
101#2626C2212yes—
102#2589C2214yes—
103#2589C2214yes—
104#2587C2214yes—
105#2587C2214yes—
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2582C2212yescomplemented
109#2581C2212yescomplemented
110#2580C2214yes—
111#2580C2212yescomplemented
112#2579C2214yes—
113#2574C2214yes—
114#2574C2214yescomplemented
115#2574C2214yescomplemented
116#2571C2212yescomplemented
117#2570C2212yescomplemented
118#2570C2212yescomplemented
119#2567C2214yescomplemented
120#2567C2212yescomplemented
121#2566C2214yes—
122#2564C2214yes—
123#2564C2214yes—
124#2556C2214yes—
125#2552C2214yescomplemented
126#2552C2212yescomplemented
127#2552C2212yescomplemented
128#2551C2212yescomplemented
129#2550C2212yescomplemented
130#2550C2212yescomplemented
131#2549C2214yes—
132#2546C2212yescomplemented
133#2538C2212yescomplemented
134#2522C2214yes—
135#2520C2214yescomplemented
136#2520C2214yescomplemented
137#2511C2214yescomplemented
138#2509C2212yescomplemented
139#2509C2212yescomplemented
140#2508C2212yescomplemented
141#2508C2214yescomplemented
142#2508C2214yescomplemented
143#2508C2212yescomplemented
144#2507C2212yescomplemented
145#2507C2212yescomplemented
146#2507C2214yescomplemented
147#2506C2212yescomplemented
148#2506C2212yescomplemented
149#2505C2214yes—
150#2505C2214yes—
151#2505C2214yescomplemented
152#2505C2214yescomplemented
153#2502C2214yescomplemented
154#2497C2214yescomplemented
155#2473C2214yes—
156#2473C2214yes—
157#2465C2214yes—
158#2454C2214yes—
159#2454C2212yescomplemented
160#2454C2212yescomplemented
161#2453C2212yescomplemented
162#2453C2212yescomplemented
163#2452C2214yes—
164#2452C2212yescomplemented
165#2452C2212yescomplemented
166#2451C2212yescomplemented
167#2451C2212yescomplemented
168#2450C2214yes—
169#2450C2214yes—
170#2450C2214yes—
171#2449C2214yes—
172#2449C2214yes—
173#2449C2214yes—
174#2442C2212yes—
175#2442C2212yes—
176#2442C2212yes—
177#2442C2212yes—
178#2442C2212yescomplemented
179#2442C2212yescomplemented
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2440C2214yes—
187#2440C2212yes—
188#2440C2212yes—
189#2440C2212yes—
190#2440C2212yes—
191#2440C2214yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yes—
195#2439C2212yes—
196#2439C2212yes—
197#2439C2212yes—
198#2439C2212yescomplemented
199#2439C2212yescomplemented
200#2423C2214yescomplemented
201#2417C2214yes—
202#2396C2212yes—
203#2396C2212yes—
204#2396C2212yes—
205#2396C2212yes—
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2369C2212yescomplemented
209#2368C2214yes—
210#2365C2212yescomplemented
211#2363C2212yes—
212#2363C2212yes—
213#2362C2212yes—
214#2362C2212yes—
215#2361C2212yes—
216#2361C2212yes—
217#2360C2214yes—
218#2360C2212yes—
219#2360C2212yes—
220#2354C2212yes—
221#2354C2212yes—
222#2352C2212yes—
223#2352C2212yes—
224#2352C2212yes—
225#2352C2212yes—
226#2351C2212yescomplemented
227Q8×C4⋊C4C2212yescomplemented
228#2349C2214yes—
229#2349C2212yescomplemented
230D4×C4⋊C4C2214yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yescomplemented
234#2331C2212yescomplemented
235#2330C2212yescomplemented
236#2324C2211yescharacteristic
237#2324C2211yescharacteristic
238#2324C2211yescharacteristic
239#2324C2211yescharacteristic
240#2323C2211yescharacteristic
241#2323C2211yescharacteristic
242#2323C2211yescharacteristic
243#2323C2211yescharacteristic
244#2322C2212yes—
245#2322C2212yes—
246#2322C2214yes—
247#2321C2212yes—
248#2321C2214yes—
249#2321C2212yes—
250#2317C2212yes—
251#2317C2212yes—
252#2317C2212yes—
253#2317C2212yes—
254#2317C2212yes—
255#2317C2212yes—
256#2317C2212yes—
257#2317C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2212yescomplemented
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2212yescomplemented
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270C4×C4⋊Q8C2212yescomplemented
271C4×#125C2212yescomplemented
272C4×#123C2214yes—
273C4×#120C2214yes—
274#2297C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2212yescomplemented
279#2293C2212yes—
280#2293C2212yes—
281C2×#389C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2212yescomplemented
286#2290C2212yes—
287#2290C2212yes—
288C2×#385C2212yes—
289C2×#385C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2212yes—
292C2×#382C2212yes—
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301C24×C4C2312yes—
302#544—28no—
303#544—44no—
304#533—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2314yes—
319C2×#125C2314yes—
320#525Q8116yescomplemented
321C2×#123C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#120C2312yes—
336#520—28no—
337#520—44no—
338C4×#41—44no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×#117—28no—
359C2×#117—44no—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C22×C4⋊C4—44no—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#395C2314yes—
493#395C2312yes—
494#395C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#384C2312yes—
709#384C2314yes—
710#384C2314yes—
711#384C2314yes—
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2314yes—
716#384C2314yes—
717#384C2314yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#382C2312yes—
723#382C2314yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2314yes—
729#382C2314yes—
730#382C2314yes—
731#382C2314yes—
732#382C2314yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#381C2312yes—
738#381C2312yes—
739#381C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#379C2312yes—
768#379C2312yes—
769#379C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41C2×Q818yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4—44no—
836C23×C4—82no—
837C23×C4—82no—
838C23×C4C2×Q818yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—84no—
867#125—28no—
868#125—28no—
869#125—42no—
870#125—42no—
871#125—44no—
872#125—44no—
873#125—84no—
874#125—84no—
875#123C2×Q8116yes—
876C22⋊Q8—216no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—84no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884C22⋊Q8—84no—
885C22⋊Q8C2×Q818yes—
886C22⋊Q8C2×Q818yes—
887#121C2×Q818yes—
888#121C2×Q818yes—
889#120C2×Q8116yes—
890C4×Q8—28no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—84no—
897C4×D4—216no—
898C4×D4—28no—
899C4×D4—42no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—84no—
906C4×D4—84no—
907C4×D4C2×Q8116yes—
908C4×D4C2×Q8116yes—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—42no—
921#117—42no—
922#117—42no—
923#117—42no—
924#117—42no—
925#117—42no—
926#117—42no—
927#117—42no—
928#117—44no—
929#117—44no—
930#117C2×Q818yes—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4—84no—
945C2×C4⋊C4—82no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4#4118yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C22⋊C4—28no—
1040C2×C22⋊C4—42no—
1041C2×C22⋊C4—42no—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—28no—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24C22×Q814yes—
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2511yescharacteristic
1199#41—232no—
1200C2×Q8—22no—
1201C2×Q8—28no—
1202C2×Q8—22no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8C22×Q814yes—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4C22×Q818yes—
1224C2×D4C22×Q814yes—
1225C2×D4C22×Q818yes—
1226C2×D4C22×Q818yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—232no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—816no—
1282C22×C4C22×Q814yes—
1283C22×C4C22×Q814yes—
1284C22×C4C22×Q818yes—
1285C22×C4C22×Q814yes—
1286C22×C4C22×Q814yes—
1287C22×C4C22×Q814yes—
1288C22×C4C22×Q814yes—
1289C22×C4C2×#4118yes—
1290C22×C4C2×#4114yes—
1291C22×C4H(5,𝔽2)14yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
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—22no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
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—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4C22×Q814yes—
1408C4⋊C4C22×Q814yes—
1409C4⋊C4C22×Q818yes—
1410C4⋊C4C22×Q818yes—
1411C4⋊C4C2×#4118yes—
1412C4⋊C4C2×#4118yes—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4C22×Q818yes—
1454C22⋊C4C22×Q818yes—
1455C22⋊C4C22×Q818yes—
1456C22⋊C4C22×Q818yes—
1457C22⋊C4C22×Q818yes—
1458C42—28no—
1459C42—28no—
1460C42—28no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—44no—
1485C42—42no—
1486C42C22×Q818yes—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—28no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23C23×Q812yes—
1517C23C23×Q812yes—
1518C23C23×Q814yes—
1519C23C23×Q812yes—
1520C23C22×#4112yes—
1521C23C2×H(5,𝔽2)12yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—88no—
1525Q8—84no—
1526Q8—84no—
1527Q8—164no—
1528D4—216no—
1529D4—28no—
1530D4—48no—
1531D4—48no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—28no—
1545C2×C4—28no—
1546C2×C4—28no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—216no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—88no—
1622C2×C4—82no—
1623C2×C4—82no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—164no—
1633C2×C4#554116yes—
1634C2×C4C23×Q814yes—
1635C2×C4C23×Q814yes—
1636C2×C4C23×Q812yes—
1637C2×C4C23×Q812yes—
1638C2×C4C23×Q814yes—
1639C2×C4C23×Q812yes—
1640C2×C4C23×Q812yes—
1641C2×C4C22×#4118yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—24no—
1655C22—24no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—24no—
1661C22—416no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—41no—
1673C22—41no—
1674C22C2×#55414yes—
1675C22C24×Q811yescharacteristic
1676C22C23×#4111yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22H(7,𝔽2)11yescharacteristic
1679C22H(7,𝔽2)11yescharacteristic
1680C222−1+611yescharacteristic
1681C222−1+611yescharacteristic
1682C4—28no—
1683C4—24no—
1684C4—24no—
1685C4—22no—
1686C4—22no—
1687C4—24no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—44no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—44no—
1699C4—44no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4C2×#55414yes—
1712C4C2×#55414yes—
1713C2—24no—
1714C2—44no—
1715C2—42no—
1716C2—42no—
1717C2C22×#55411yescharacteristic
1718C2#6284711yescharacteristic
1719C2#6285111yescharacteristic
1720C2#6285411yescharacteristic
1721C2#6285411yescharacteristic
1722C2#6287411yescharacteristic
1723C2#6288611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45415C2semidirect
2. #45413C2semidirect
3. #45361C2semidirect
4. #45359C2semidirect
5. #45180C2semidirect
6. #44997C2semidirect
7. #44946C2semidirect
8. #44944C2semidirect
9. #39685C2semidirect
10. #39684C2semidirect
11. #39604C2semidirect
12. #39601C2semidirect
13. #38966C2semidirect
14. #38964C2semidirect
15. #38961C2semidirect
16. #38960C2semidirect
17. #38106C2semidirect
18. #38104C2semidirect
19. #38100C2semidirect
20. #38098C2semidirect
21. #35575C2semidirect
22. #35566C2semidirect
23. #35543C2semidirect
24. #35519C2semidirect
25. #35265C2semidirect
26. #35257C2semidirect
27. #35224C2semidirect
28. #35151C2semidirect
29. #34634C2semidirect
30. #34272C2semidirect
31. #34250C2semidirect
35. C2×#2317C2semidirect
46. #2864C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
50. #2851C22semidirect
54. #2792C22semidirect
55. #2792C22semidirect
56. #2791C22semidirect
57. #2791C22semidirect
60. #2790C22semidirect
61. #2790C22semidirect
67. #2774C22semidirect
68. #2774C22semidirect
70. #2768C22semidirect
71. #2768C22semidirect
73. #2763C22semidirect
74. #2763C22semidirect
75. #2755C22semidirect
76. #2755C22semidirect
81. #2720C22semidirect
82. #2720C22semidirect
84. #2647C22semidirect
85. #2647C22semidirect
90. #2629C22semidirect
95. #2628C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2582C22semidirect
109. #2581C22semidirect
111. #2580C22semidirect
114. #2574C22semidirect
115. #2574C22semidirect
116. #2571C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
119. #2567C22semidirect
120. #2567C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
130. #2550C22semidirect
132. #2546C22semidirect
133. #2538C22semidirect
135. #2520C22semidirect
136. #2520C22semidirect
137. #2511C22semidirect
138. #2509C22semidirect
139. #2509C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2507C22semidirect
146. #2507C22semidirect
147. #2506C22semidirect
148. #2506C22semidirect
151. #2505C22semidirect
152. #2505C22semidirect
153. #2502C22semidirect
154. #2497C22semidirect
159. #2454C22semidirect
160. #2454C22semidirect
161. #2453C22semidirect
162. #2453C22semidirect
164. #2452C22semidirect
165. #2452C22semidirect
166. #2451C22semidirect
167. #2451C22semidirect
178. #2442C22semidirect
179. #2442C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2423C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2369C22semidirect
210. #2365C22semidirect
226. #2351C22semidirect
227. Q8×C4⋊C4C22semidirect
229. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
234. #2331C22semidirect
235. #2330C22semidirect
264. #2317C22semidirect
267. #2316C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#125C22semidirect
278. #2296C22semidirect
285. C2×#389C22semidirect
320. #525Q8semidirect

Maximal subgroups

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

subgroupindex
#454152
#454132
#453612
#453592
#451802
#449972
#449462
#449442
#396852
#396842
#396042
#396012
#389662
#389642
#389612
#389602
#381062
#381042
#381002
#380982
#355752
#355662
#355432
#355192
#352652
#352572
#352242
#351512
#346342
#342722
#342502
#342012
#342002
#340652
C2×#23172