Finite Group Databasebeta

← #8093540

Subgroups — #8093540

Order 512.

4418 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53153C212yesmaximal, complemented
2#53114C212yesmaximal, complemented
3#53113C212yesmaximal, complemented
4#53112C212yesmaximal, complemented
5#53112C212yesmaximal, complemented
6#53099C212yesmaximal, complemented
7#53089C212yesmaximal, complemented
8#53084C212yesmaximal, complemented
9#53083C212yesmaximal, complemented
10#53082C212yesmaximal, complemented
11#53039C212yesmaximal, complemented
12#53003C212yesmaximal, complemented
13#53001C212yesmaximal, complemented
14#52999C212yesmaximal, complemented
15#52994C212yesmaximal, complemented
16#52989C212yesmaximal, complemented
17#52491C214yesmaximal, complemented
18#52490C214yesmaximal, complemented
19#52473C214yesmaximal, complemented
20#52470C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35566C211yesmaximal, characteristic, complemented
24#35558C211yesmaximal, characteristic, complemented
25#35556C211yesmaximal, characteristic
26#35545C211yesmaximal, characteristic, complemented
27#35543C211yesmaximal, characteristic, complemented
28#35541C211yesmaximal, characteristic
29#35531C211yesmaximal, characteristic
30#35529C211yesmaximal, characteristic, complemented
31#35519C211yesmaximal, characteristic, complemented
32#35515C211yesmaximal, characteristic, complemented
33#34642C211yesmaximal, characteristic, complemented
34#34639C211yesmaximal, characteristic, complemented
35C2×#2644C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42#2841C2214yescomplemented
43#2838C2214yescomplemented
44#2838C2214yescomplemented
45#2838C2214yescomplemented
46#2838C2214yescomplemented
47#2838C2214yescomplemented
48#2837C2214yescomplemented
49#2837C2214yescomplemented
50#2836C2214yescomplemented
51#2836C2214yescomplemented
52#2836C2214yescomplemented
53#2835C2214yescomplemented
54#2834C2214yescomplemented
55#2832C2214yescomplemented
56#2831C2214yescomplemented
57#2831C2214yescomplemented
58#2831C2214yescomplemented
59#2830C2214yescomplemented
60#2830C2214yescomplemented
61#2827C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2827C2214yescomplemented
65#2823C2214yescomplemented
66#2821C2214yescomplemented
67#2820C2214yescomplemented
68#2820C2214yescomplemented
69#2817C2214yescomplemented
70#2814C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2793C2214yescomplemented
75#2787C2214yescomplemented
76#2773C2214yescomplemented
77#2770C2214yescomplemented
78#2765C2214yescomplemented
79#2765C2214yescomplemented
80#2759C2214yescomplemented
81#2745C2214yescomplemented
82#2738C2214yescomplemented
83#2729C2214yescomplemented
84#2728C2214yescomplemented
85#2725C2214yescomplemented
86#2724C2214yescomplemented
87#2723C2214yescomplemented
88#2723C2214yescomplemented
89#2720C2214yescomplemented
90#2717C2214yescomplemented
91#2717C2214yescomplemented
92#2715C2214yescomplemented
93#2715C2214yescomplemented
94#2707C2214yescomplemented
95#2707C2214yescomplemented
96#2698C2214yescomplemented
97#2695C2214yescomplemented
98#2695C2214yescomplemented
99#2690C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2683C2214yescomplemented
103#2680C2214yescomplemented
104#2674C2214yescomplemented
105#2674C2214yescomplemented
106#2660C2211yescharacteristic, complemented
107#2660C2211yescharacteristic, complemented
108#2660C2211yescharacteristic, complemented
109#2660C2211yescharacteristic, complemented
110#2660C2211yescharacteristic, complemented
111#2660C2211yescharacteristic, complemented
112#2660C2211yescharacteristic, complemented
113#2660C2211yescharacteristic, complemented
114#2659C2212yes—
115#2659C2212yes—
116#2659C2212yes—
117#2659C2212yes—
118#2645C2211yescharacteristic, complemented
119#2645C2211yescharacteristic, complemented
120#2645C2211yescharacteristic, complemented
121#2645C2211yescharacteristic, complemented
122#2644C2212yes—
123#2644C2212yes—
124#2644C2212yes—
125#2644C2212yes—
126#2644C2212yes—
127#2644C2212yes—
128#2644C2212yes—
129#2644C2212yes—
130#2644C2211yescharacteristic, complemented
131#2644C2211yescharacteristic, complemented
132#2644C2211yescharacteristic, complemented
133#2644C2211yescharacteristic, complemented
134#2643C2212yes—
135#2643C2212yes—
136#2643C2212yes—
137#2643C2212yes—
138#2592C2212yes—
139#2592C2212yes—
140#2584C2212yescomplemented
141#2584C2212yescomplemented
142#2582C2212yescomplemented
143#2581C2212yescomplemented
144#2580C2212yes—
145#2580C2212yes—
146#2580C2212yescomplemented
147#2571C2212yescomplemented
148#2570C2212yescomplemented
149#2570C2212yescomplemented
150#2569C2214yes—
151#2567C2212yescomplemented
152#2566C2212yes—
153#2566C2212yes—
154#2564C2214yes—
155#2563C2212yes—
156#2552C2212yescomplemented
157#2552C2212yescomplemented
158#2551C2212yescomplemented
159#2550C2212yescomplemented
160#2550C2212yescomplemented
161#2549C2214yes—
162#2548C2212yes—
163#2548C2212yes—
164#2546C2212yescomplemented
165#2542C2212yes—
166#2538C2212yes—
167#2538C2212yes—
168#2538C2212yescomplemented
169#2514C2212yescomplemented
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2513C2212yescomplemented
175#2512C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yescomplemented
180#2511C2212yescomplemented
181#2510C2214yes—
182#2509C2212yescomplemented
183#2509C2212yescomplemented
184#2509C2212yescomplemented
185#2508C2212yescomplemented
186#2508C2212yescomplemented
187#2508C2212yescomplemented
188#2507C2212yescomplemented
189#2507C2212yescomplemented
190#2507C2212yescomplemented
191#2506C2212yescomplemented
192#2506C2212yescomplemented
193#2506C2212yescomplemented
194#2505C2214yes—
195#2504C2212yes—
196#2501C2212yes—
197#2500C2212yes—
198#2500C2212yes—
199#2497C2212yescomplemented
200#2496C2212yescomplemented
201#2495C2212yescomplemented
202#2494C2212yescomplemented
203#2491C2212yes—
204#2491C2212yes—
205#2490C2212yes—
206#2490C2212yes—
207#2481C2214yes—
208#2480C2214yes—
209#2480C2214yes—
210#2473C2214yes—
211#2472C2214yes—
212#2472C2214yes—
213#2454C2212yes—
214#2454C2212yes—
215#2454C2212yes—
216#2454C2212yes—
217#2454C2212yescomplemented
218#2453C2212yescomplemented
219#2452C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2452C2212yescomplemented
224#2451C2212yescomplemented
225#2450C2214yes—
226#2449C2214yes—
227#2448C2212yes—
228#2448C2212yes—
229#2447C2212yes—
230#2447C2212yes—
231#2445C2212yes—
232#2445C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2442C2214yes—
236#2442C2212yescomplemented
237#2442C2212yescomplemented
238#2441C2212yescomplemented
239#2441C2212yescomplemented
240#2440C2214yes—
241#2440C2212yescomplemented
242#2440C2212yescomplemented
243#2439C2212yescomplemented
244#2439C2212yescomplemented
245#2437C2214yes—
246#2437C2214yes—
247#2437C2214yes—
248#2437C2214yes—
249#2422C2212yes—
250#2422C2212yes—
251#2420C2212yes—
252#2420C2212yes—
253#2418C2214yes—
254#2418C2214yes—
255#2417C2214yes—
256#2412C2214yes—
257#2412C2214yes—
258#2401C2212yescomplemented
259#2401C2212yescomplemented
260#2401C2212yescomplemented
261#2401C2212yescomplemented
262#2399C2212yescomplemented
263#2399C2212yescomplemented
264#2399C2212yescomplemented
265#2399C2212yescomplemented
266C2×#397C2212yes—
267C2×#397C2212yes—
268C2×#397C2212yes—
269C2×#396C2212yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2309C2211yescharacteristic
279#2309C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301#544—44no—
302#535—44no—
303#533—44no—
304#533—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×#127C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#120C2314yes—
345#520—44no—
346#518—44no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383#401C2312yes—
384#401C2314yes—
385#401C2312yes—
386#401C2312yes—
387#401C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2312yes—
517#395C2312yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2312yes—
522#395C2312yes—
523#395C2314yes—
524#395C2314yes—
525#395C2312yes—
526#395C2314yes—
527#395C2312yes—
528#395C2312yes—
529#395C2312yes—
530#395C2312yes—
531#395C2312yes—
532#395C2312yes—
533#395C2312yes—
534#395C2312yes—
535#395C2312yes—
536#395C2312yes—
537#395C2312yes—
538#395C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2314yes—
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#383C2314yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#381C2314yes—
748#381C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#379C2314yes—
770#379C2314yes—
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⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—84no—
856#127—44no—
857#126—84no—
858#126—84no—
859#126—84no—
860#125—42no—
861#125—42no—
862#125—42no—
863#125—42no—
864#125—44no—
865#125—44no—
866#125—84no—
867#125—84no—
868#124—44no—
869#124—84no—
870#124—84no—
871#123—84no—
872#123—84no—
873#123—84no—
874#123—84no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
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⋊Q8—84no—
886#121—44no—
887#121—44no—
888#120—48no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—44no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—82no—
913C2×C4⋊C4—82no—
914C2×C4⋊C4—82no—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C22⋊C4—48no—
998C2×C22⋊C4—82no—
999C2×C22⋊C4—82no—
1000C2×C22⋊C4—82no—
1001C2×C22⋊C4—82no—
1002C2×C22⋊C4—82no—
1003C2×C22⋊C4—82no—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
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#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24—24no—
1162C24—24no—
1163C24—24no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24—42no—
1168C24C2514yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—416no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4H(5,𝔽2)14yes—
1249C22×C42−1+414yes—
1250C22×C42−1+414yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2514yes—
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
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—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
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—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—22no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—24no—
1455C23—48no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23C2×H(5,𝔽2)12yes—
1463C23C2×2−1+412yes—
1464C23C2×2−1+412yes—
1465C23C2611yescharacteristic
1466Q8—44no—
1467Q8—84no—
1468Q8—84no—
1469Q8—84no—
1470Q8—84no—
1471Q8—164no—
1472D4—48no—
1473D4—48no—
1474D4—48no—
1475D4—44no—
1476D4—164no—
1477D4—164no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—48no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—84no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—164no—
1579C2×C4—164no—
1580C2×C4—164no—
1581C2×C4#563116yes—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4C2×2−1+412yes—
1587C2×C4C2×2−1+412yes—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—42no—
1603C22—42no—
1604C22—44no—
1605C22—44no—
1606C22—42no—
1607C22—44no—
1608C22—168no—
1609C22C2×#56314yes—
1610C22C22×H(5,𝔽2)11yescharacteristic
1611C22C22×2−1+411yescharacteristic
1612C22C22×2−1+411yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C22H(7,𝔽2)11yescharacteristic
1615C22H(7,𝔽2)11yescharacteristic
1616C222−1+611yescharacteristic
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—44no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—44no—
1645C4—44no—
1646C4—42no—
1647C4C2×#56314yes—
1648C4C2×#56314yes—
1649C2—24no—
1650C2—82no—
1651C2—84no—
1652C2C22×#56311yescharacteristic
1653C2#6287811yescharacteristic
1654C2#6287911yescharacteristic
1655C2#6287911yescharacteristic
1656C2#6288011yescharacteristic
1657C2#6288111yescharacteristic
1658C2#6288111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53153C2semidirect
2. #53114C2semidirect
3. #53113C2semidirect
4. #53112C2semidirect
5. #53112C2semidirect
6. #53099C2semidirect
7. #53089C2semidirect
8. #53084C2semidirect
9. #53083C2semidirect
10. #53082C2semidirect
11. #53039C2semidirect
12. #53003C2semidirect
13. #53001C2semidirect
14. #52999C2semidirect
15. #52994C2semidirect
16. #52989C2semidirect
17. #52491C2semidirect
18. #52490C2semidirect
19. #52473C2semidirect
20. #52470C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35566C2semidirect
24. #35558C2semidirect
26. #35545C2semidirect
27. #35543C2semidirect
30. #35529C2semidirect
31. #35519C2semidirect
32. #35515C2semidirect
33. #34642C2semidirect
34. #34639C2semidirect
35. C2×#2644C2semidirect
42. #2841C22semidirect
43. #2838C22semidirect
44. #2838C22semidirect
45. #2838C22semidirect
46. #2838C22semidirect
47. #2838C22semidirect
48. #2837C22semidirect
49. #2837C22semidirect
50. #2836C22semidirect
51. #2836C22semidirect
52. #2836C22semidirect
53. #2835C22semidirect
54. #2834C22semidirect
55. #2832C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2831C22semidirect
59. #2830C22semidirect
60. #2830C22semidirect
61. #2827C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2827C22semidirect
65. #2823C22semidirect
66. #2821C22semidirect
67. #2820C22semidirect
68. #2820C22semidirect
69. #2817C22semidirect
70. #2814C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2793C22semidirect
75. #2787C22semidirect
76. #2773C22semidirect
77. #2770C22semidirect
78. #2765C22semidirect
79. #2765C22semidirect
80. #2759C22semidirect
81. #2745C22semidirect
82. #2738C22semidirect
83. #2729C22semidirect
84. #2728C22semidirect
85. #2725C22semidirect
86. #2724C22semidirect
87. #2723C22semidirect
88. #2723C22semidirect
89. #2720C22semidirect
90. #2717C22semidirect
91. #2717C22semidirect
92. #2715C22semidirect
93. #2715C22semidirect
94. #2707C22semidirect
95. #2707C22semidirect
96. #2698C22semidirect
97. #2695C22semidirect
98. #2695C22semidirect
99. #2690C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2683C22semidirect
103. #2680C22semidirect
104. #2674C22semidirect
105. #2674C22semidirect
106. #2660C22semidirect
107. #2660C22semidirect
108. #2660C22semidirect
109. #2660C22semidirect
110. #2660C22semidirect
111. #2660C22semidirect
112. #2660C22semidirect
113. #2660C22semidirect
118. #2645C22semidirect
119. #2645C22semidirect
120. #2645C22semidirect
121. #2645C22semidirect
130. #2644C22semidirect
131. #2644C22semidirect
132. #2644C22semidirect
133. #2644C22semidirect
140. #2584C22semidirect
141. #2584C22semidirect
142. #2582C22semidirect
143. #2581C22semidirect
146. #2580C22semidirect
147. #2571C22semidirect
148. #2570C22semidirect
149. #2570C22semidirect
151. #2567C22semidirect
156. #2552C22semidirect
157. #2552C22semidirect
158. #2551C22semidirect
159. #2550C22semidirect
160. #2550C22semidirect
164. #2546C22semidirect
168. #2538C22semidirect
169. #2514C22semidirect
174. #2513C22semidirect
179. #2512C22semidirect
180. #2511C22semidirect
182. #2509C22semidirect
183. #2509C22semidirect
184. #2509C22semidirect
185. #2508C22semidirect
186. #2508C22semidirect
187. #2508C22semidirect
188. #2507C22semidirect
189. #2507C22semidirect
190. #2507C22semidirect
191. #2506C22semidirect
192. #2506C22semidirect
193. #2506C22semidirect
199. #2497C22semidirect
200. #2496C22semidirect
201. #2495C22semidirect
202. #2494C22semidirect
217. #2454C22semidirect
218. #2453C22semidirect
223. #2452C22semidirect
224. #2451C22semidirect
236. #2442C22semidirect
237. #2442C22semidirect
238. #2441C22semidirect
239. #2441C22semidirect
241. #2440C22semidirect
242. #2440C22semidirect
243. #2439C22semidirect
244. #2439C22semidirect
258. #2401C22semidirect
259. #2401C22semidirect
260. #2401C22semidirect
261. #2401C22semidirect
262. #2399C22semidirect
263. #2399C22semidirect
264. #2399C22semidirect
265. #2399C22semidirect

Maximal subgroups

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

subgroupindex
#531532
#531142
#531132
#531122
#530992
#530892
#530842
#530832
#530822
#530392
#530032
#530012
#529992
#529942
#529892
#524912
#524902
#524732
#524702
#355852
#355752
#355662
#355582
#355562
#355452
#355432
#355412
#355312
#355292
#355192
#355152
#346422
#346392
C2×#26442