Finite Group Databasebeta

← #8095333

Subgroups — #8095333

Order 512.

4775 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53127C212yesmaximal, complemented
2#53120C212yesmaximal, complemented
3#53077C212yesmaximal, complemented
4#53070C212yesmaximal, complemented
5#53049C212yesmaximal, complemented
6#53030C212yesmaximal, complemented
7#53024C212yesmaximal, complemented
8#53016C212yesmaximal, complemented
9#52550C214yesmaximal, complemented
10#52547C214yesmaximal, complemented
11#46112C212yesmaximal, complemented
12#46104C212yesmaximal, complemented
13#46023C212yesmaximal, complemented
14#46005C212yesmaximal, complemented
15#45711C212yesmaximal, complemented
16#45671C212yesmaximal, complemented
17#45625C212yesmaximal, complemented
18#45580C214yesmaximal, complemented
19#45549C214yesmaximal, complemented
20#45501C212yesmaximal, complemented
21#35633C211yesmaximal, characteristic, complemented
22#35619C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35530C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35312C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35286C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35179C211yesmaximal, characteristic, complemented
32#35153C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic, complemented
34#34810C211yesmaximal, characteristic, complemented
35C2×#2423C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2862C2212yescomplemented
49#2861C2212yescomplemented
50#2859C2212yescomplemented
51#2859C2212yescomplemented
52#2857C2212yes—
53#2857C2212yes—
54#2855C2214yes—
55#2854C2214yes—
56#2851C2212yes—
57#2850C2212yes—
58#2845C2214yescomplemented
59#2841C2214yes—
60#2841C2214yescomplemented
61#2839C2214yescomplemented
62#2839C2214yescomplemented
63#2837C2214yes—
64#2837C2214yes—
65#2837C2214yes—
66#2837C2214yescomplemented
67#2836C2214yes—
68#2836C2214yescomplemented
69#2836C2214yescomplemented
70#2832C2214yes—
71#2831C2214yescomplemented
72#2830C2214yescomplemented
73#2827C2214yes—
74#2826C2214yes—
75#2820C2214yes—
76#2816C2214yes—
77#2814C2214yescomplemented
78#2808C2214yes—
79#2806C2214yescomplemented
80#2806C2214yescomplemented
81#2802C2214yescomplemented
82#2802C2214yescomplemented
83#2798C2214yes—
84#2798C2214yescomplemented
85#2788C2214yescomplemented
86#2786C2214yes—
87#2781C2214yes—
88#2781C2214yescomplemented
89#2772C2214yes—
90#2772C2214yescomplemented
91#2772C2214yescomplemented
92#2768C2214yes—
93#2768C2214yescomplemented
94#2768C2214yescomplemented
95#2754C2214yes—
96#2754C2214yescomplemented
97#2754C2214yescomplemented
98#2751C2214yescomplemented
99#2747C2214yescomplemented
100#2743C2214yes—
101#2743C2214yes—
102#2739C2214yes—
103#2739C2214yescomplemented
104#2732C2214yes—
105#2711C2214yes—
106#2710C2214yes—
107#2706C2214yes—
108#2704C2214yes—
109#2704C2214yescomplemented
110#2704C2214yescomplemented
111#2701C2214yes—
112#2696C2214yes—
113#2694C2214yes—
114#2694C2214yescomplemented
115#2692C2214yes—
116#2687C2214yescomplemented
117#2672C2214yes—
118#2647C2212yescomplemented
119#2647C2212yescomplemented
120#2642C2212yescomplemented
121#2640C2212yescomplemented
122#2629C2212yes—
123#2628C2212yes—
124#2627C2214yes—
125#2621C2212yes—
126#2620C2212yes—
127#2618C2214yes—
128#2582C2212yescomplemented
129#2582C2212yescomplemented
130#2582C2212yescomplemented
131#2581C2212yescomplemented
132#2581C2212yescomplemented
133#2581C2212yescomplemented
134#2580C2212yescomplemented
135#2571C2212yescomplemented
136#2571C2212yescomplemented
137#2568C2212yescomplemented
138#2567C2212yescomplemented
139#2565C2212yescomplemented
140#2565C2212yescomplemented
141#2564C2214yes—
142#2552C2212yescomplemented
143#2552C2212yescomplemented
144#2538C2212yes—
145#2538C2212yescomplemented
146#2537C2212yes—
147#2536C2212yes—
148#2535C2212yes—
149#2534C2214yes—
150#2504C2211yescharacteristic
151#2503C2211yescharacteristic
152#2503C2212yescomplemented
153#2502C2211yescharacteristic
154#2502C2212yescomplemented
155#2502C2212yescomplemented
156#2501C2211yescharacteristic
157#2501C2212yescomplemented
158#2500C2211yescharacteristic
159#2500C2211yescharacteristic
160#2500C2212yescomplemented
161#2499C2211yescharacteristic
162#2499C2211yescharacteristic
163#2499C2212yescomplemented
164#2499C2212yescomplemented
165#2499C2212yescomplemented
166#2498C2212yes—
167#2498C2212yes—
168#2492C2211yescharacteristic
169#2492C2211yescharacteristic
170#2492C2212yescomplemented
171#2492C2212yescomplemented
172#2491C2211yescharacteristic
173#2491C2211yescharacteristic
174#2490C2211yescharacteristic
175#2490C2211yescharacteristic
176#2489C2211yescharacteristic
177#2489C2211yescharacteristic
178#2489C2212yescomplemented
179#2489C2212yescomplemented
180#2488C2212yes—
181#2488C2214yes—
182#2488C2212yes—
183#2488C2214yes—
184#2486C2214yes—
185#2472C2212yes—
186#2472C2212yes—
187#2454C2212yescomplemented
188#2453C2212yescomplemented
189#2452C2212yescomplemented
190#2451C2212yescomplemented
191#2450C2214yes—
192#2449C2214yes—
193#2447C2212yescomplemented
194#2447C2212yescomplemented
195#2446C2212yescomplemented
196#2446C2212yescomplemented
197#2443C2214yes—
198#2443C2214yes—
199#2442C2214yes—
200#2442C2212yes—
201#2442C2214yes—
202#2442C2212yescomplemented
203#2442C2212yescomplemented
204#2441C2212yes—
205#2441C2212yescomplemented
206#2441C2212yescomplemented
207#2440C2212yes—
208#2440C2212yescomplemented
209#2440C2212yescomplemented
210#2439C2212yes—
211#2439C2212yescomplemented
212#2439C2212yescomplemented
213#2438C2214yes—
214#2437C2214yes—
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yescomplemented
218#2429C2212yescomplemented
219#2429C2212yescomplemented
220#2429C2212yescomplemented
221#2427C2212yes—
222#2427C2212yes—
223#2426C2212yescomplemented
224#2426C2212yescomplemented
225#2426C2212yescomplemented
226#2426C2212yescomplemented
227#2425C2214yes—
228#2424C2214yes—
229#2423C2212yes—
230#2423C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2212yes—
237#2423C2212yescomplemented
238#2423C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2419C2214yes—
242#2419C2214yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2212yes—
246#2417C2212yes—
247#2417C2214yes—
248#2417C2212yes—
249#2416C2212yes—
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2414C2212yes—
256#2413C2214yes—
257#2412C2212yes—
258#2412C2214yes—
259#2412C2212yes—
260#2398C2212yes—
261#2398C2212yes—
262#2395C2212yes—
263#2395C2212yes—
264C2×#399C2212yes—
265C2×#398C2212yes—
266#2382C2214yescomplemented
267#2379C2214yes—
268#2376C2214yes—
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279#2310C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#544—44no—
304#537—44no—
305#536—44no—
306#536—44no—
307#533—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#125C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—44no—
325#525—44no—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8—44no—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#120C2312yes—
364C2×#120C2312yes—
365#520—44no—
366#520—44no—
367C2×C4×Q8—44no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×#117—44no—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#399C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2314yes—
550#393C2312yes—
551#393C2312yes—
552#393C2312yes—
553#392C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2314yes—
574#391C2314yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2314yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2314yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#381C2314yes—
757#381C2312yes—
758#381C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#379C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2411yescharacteristic
871C4⋊Q8—42no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877#125—48no—
878#125—42no—
879#125—42no—
880#125—44no—
881#125—44no—
882#125—84no—
883#124—28no—
884#124—44no—
885#124—44no—
886#124—44no—
887#123—28no—
888#123—44no—
889#123—48no—
890#123—44no—
891#123—44no—
892#123—48no—
893#123—48no—
894#123—84no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914C22⋊Q8—84no—
915#121—42no—
916#121—42no—
917#121—42no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121—48no—
922#121—84no—
923#120—44no—
924#120—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—48no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—24no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—42no—
951#117—44no—
952#117—44no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—82no—
964C2×C4⋊C4—82no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C22⋊C4—24no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—82no—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—44no—
1103C2×C42—44no—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
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#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24C2511yescharacteristic
1208C24C2512yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211C24C2511yescharacteristic
1212#41—416no—
1213#41—416no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—416no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—416no—
1321C22×C4H(5,𝔽2)14yes—
1322C22×C4H(5,𝔽2)14yes—
1323C22×C42−1+414yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C42−1+414yes—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—42no—
1505C42—44no—
1506C42—44no—
1507C42—42no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23C2×H(5,𝔽2)12yes—
1547C23C2×H(5,𝔽2)12yes—
1548C23C2×2−1+412yes—
1549C23C2×2−1+412yes—
1550C23C2611yescharacteristic
1551Q8—48no—
1552Q8—48no—
1553Q8—44no—
1554Q8—44no—
1555Q8—84no—
1556Q8—84no—
1557Q8—164no—
1558D4—48no—
1559D4—48no—
1560D4—44no—
1561D4—44no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—164no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—82no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—164no—
1666C2×C4—164no—
1667C2×C4#562116yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×2−1+412yes—
1673C2×C4C2×2−1+412yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4#58512yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—42no—
1709C22—41no—
1710C22—42no—
1711C22—88no—
1712C22C2×#56214yes—
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C222−1+611yescharacteristic
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—44no—
1744C4—44no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4C2×#56214yes—
1749C4C2×#56214yes—
1750C2—24no—
1751C2—42no—
1752C2—82no—
1753C2—82no—
1754C2—81no—
1755C2C22×#56211yescharacteristic
1756C2#6283511yescharacteristic
1757C2#6287811yescharacteristic
1758C2#6292811yescharacteristic
1759C2#6294211yescharacteristic
1760C2#6294511yescharacteristic
1761C2#6295511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53127C2semidirect
2. #53120C2semidirect
3. #53077C2semidirect
4. #53070C2semidirect
5. #53049C2semidirect
6. #53030C2semidirect
7. #53024C2semidirect
8. #53016C2semidirect
9. #52550C2semidirect
10. #52547C2semidirect
11. #46112C2semidirect
12. #46104C2semidirect
13. #46023C2semidirect
14. #46005C2semidirect
15. #45711C2semidirect
16. #45671C2semidirect
17. #45625C2semidirect
18. #45580C2semidirect
19. #45549C2semidirect
20. #45501C2semidirect
21. #35633C2semidirect
22. #35619C2semidirect
23. #35575C2semidirect
24. #35530C2semidirect
25. #35519C2semidirect
27. #35312C2semidirect
28. #35306C2semidirect
29. #35286C2semidirect
30. #35253C2semidirect
31. #35179C2semidirect
32. #35153C2semidirect
33. #34813C2semidirect
34. #34810C2semidirect
35. C2×#2423C2semidirect
48. #2862C22semidirect
49. #2861C22semidirect
50. #2859C22semidirect
51. #2859C22semidirect
58. #2845C22semidirect
60. #2841C22semidirect
61. #2839C22semidirect
62. #2839C22semidirect
66. #2837C22semidirect
68. #2836C22semidirect
69. #2836C22semidirect
71. #2831C22semidirect
72. #2830C22semidirect
77. #2814C22semidirect
79. #2806C22semidirect
80. #2806C22semidirect
81. #2802C22semidirect
82. #2802C22semidirect
84. #2798C22semidirect
85. #2788C22semidirect
88. #2781C22semidirect
90. #2772C22semidirect
91. #2772C22semidirect
93. #2768C22semidirect
94. #2768C22semidirect
96. #2754C22semidirect
97. #2754C22semidirect
98. #2751C22semidirect
99. #2747C22semidirect
103. #2739C22semidirect
109. #2704C22semidirect
110. #2704C22semidirect
114. #2694C22semidirect
116. #2687C22semidirect
118. #2647C22semidirect
119. #2647C22semidirect
120. #2642C22semidirect
121. #2640C22semidirect
128. #2582C22semidirect
129. #2582C22semidirect
130. #2582C22semidirect
131. #2581C22semidirect
132. #2581C22semidirect
133. #2581C22semidirect
134. #2580C22semidirect
135. #2571C22semidirect
136. #2571C22semidirect
137. #2568C22semidirect
138. #2567C22semidirect
139. #2565C22semidirect
140. #2565C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
145. #2538C22semidirect
152. #2503C22semidirect
154. #2502C22semidirect
155. #2502C22semidirect
157. #2501C22semidirect
160. #2500C22semidirect
163. #2499C22semidirect
164. #2499C22semidirect
165. #2499C22semidirect
170. #2492C22semidirect
171. #2492C22semidirect
178. #2489C22semidirect
179. #2489C22semidirect
187. #2454C22semidirect
188. #2453C22semidirect
189. #2452C22semidirect
190. #2451C22semidirect
193. #2447C22semidirect
194. #2447C22semidirect
195. #2446C22semidirect
196. #2446C22semidirect
202. #2442C22semidirect
203. #2442C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
208. #2440C22semidirect
209. #2440C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
217. #2429C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2429C22semidirect
223. #2426C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
237. #2423C22semidirect
238. #2423C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
266. #2382C22semidirect
269. #2376C22semidirect

Maximal subgroups

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

subgroupindex
#531272
#531202
#530772
#530702
#530492
#530302
#530242
#530162
#525502
#525472
#461122
#461042
#460232
#460052
#457112
#456712
#456252
#455802
#455492
#455012
#356332
#356192
#355752
#355302
#355192
#355182
#353122
#353062
#352862
#352532
#351792
#351532
#348132
#348102
C2×#24232