Finite Group Databasebeta

← #8095603

Subgroups — #8095603

Order 512.

4846 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53149C212yesmaximal, complemented
2#53145C212yesmaximal, complemented
3#53134C212yesmaximal, complemented
4#53115C212yesmaximal, complemented
5#53077C212yesmaximal, complemented
6#53076C212yesmaximal, complemented
7#53062C212yesmaximal, complemented
8#53052C212yesmaximal, complemented
9#52425C214yesmaximal, complemented
10#52370C214yesmaximal, complemented
11#46112C212yesmaximal, complemented
12#46104C212yesmaximal, complemented
13#46083C212yesmaximal, complemented
14#46083C212yesmaximal, complemented
15#45749C214yesmaximal, complemented
16#45676C212yesmaximal, complemented
17#45656C212yesmaximal, complemented
18#45586C214yesmaximal, complemented
19#45519C212yesmaximal, complemented
20#45514C212yesmaximal, complemented
21#35639C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35341C211yesmaximal, characteristic, complemented
28#35280C211yesmaximal, characteristic, complemented
29#35265C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35157C211yesmaximal, characteristic, complemented
32#35150C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35C2×#2441C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×#125C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2861C2212yescomplemented
50#2861C2212yescomplemented
51#2859C2212yescomplemented
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2855C2212yescomplemented
55#2854C2214yes—
56#2854C2212yescomplemented
57#2853C2214yes—
58#2839C2214yescomplemented
59#2837C2214yes—
60#2837C2214yes—
61#2837C2214yes—
62#2837C2214yes—
63#2837C2214yescomplemented
64#2836C2214yes—
65#2836C2214yes—
66#2836C2214yescomplemented
67#2831C2214yes—
68#2829C2214yes—
69#2829C2214yes—
70#2829C2214yes—
71#2829C2214yescomplemented
72#2827C2214yes—
73#2826C2214yes—
74#2816C2214yes—
75#2813C2214yes—
76#2813C2214yes—
77#2813C2214yes—
78#2802C2214yescomplemented
79#2802C2214yescomplemented
80#2802C2214yescomplemented
81#2800C2214yes—
82#2800C2214yes—
83#2800C2214yescomplemented
84#2800C2214yescomplemented
85#2798C2214yes—
86#2798C2214yescomplemented
87#2788C2214yescomplemented
88#2783C2214yescomplemented
89#2783C2214yescomplemented
90#2781C2214yes—
91#2781C2214yescomplemented
92#2779C2214yes—
93#2779C2214yescomplemented
94#2779C2214yescomplemented
95#2772C2214yescomplemented
96#2768C2214yescomplemented
97#2754C2214yescomplemented
98#2747C2214yescomplemented
99#2743C2214yescomplemented
100#2741C2214yes—
101#2741C2214yescomplemented
102#2740C2214yes—
103#2740C2214yescomplemented
104#2730C2214yes—
105#2730C2214yes—
106#2711C2214yes—
107#2710C2214yes—
108#2706C2214yes—
109#2704C2214yescomplemented
110#2701C2214yescomplemented
111#2696C2214yescomplemented
112#2694C2214yes—
113#2694C2214yescomplemented
114#2681C2214yes—
115#2681C2214yescomplemented
116#2672C2214yes—
117#2671C2214yes—
118#2647C2212yescomplemented
119#2647C2212yescomplemented
120#2642C2212yescomplemented
121#2641C2212yescomplemented
122#2629C2212yescomplemented
123#2629C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2622C2214yes—
127#2617C2214yes—
128#2591C2214yes—
129#2591C2214yes—
130#2582C2212yescomplemented
131#2582C2212yescomplemented
132#2582C2212yescomplemented
133#2581C2212yescomplemented
134#2580C2212yescomplemented
135#2579C2214yes—
136#2562C2212yescomplemented
137#2562C2212yescomplemented
138#2562C2212yescomplemented
139#2562C2212yescomplemented
140#2543C2214yes—
141#2538C2212yes—
142#2538C2212yescomplemented
143#2538C2212yescomplemented
144#2538C2212yescomplemented
145#2537C2212yes—
146#2536C2212yes—
147#2535C2212yes—
148#2509C2212yescomplemented
149#2508C2212yescomplemented
150#2507C2212yescomplemented
151#2506C2212yescomplemented
152#2505C2214yes—
153#2502C2212yescomplemented
154#2501C2212yescomplemented
155#2500C2212yes—
156#2500C2212yes—
157#2500C2212yescomplemented
158#2499C2212yes—
159#2499C2212yes—
160#2499C2212yescomplemented
161#2492C2211yescharacteristic
162#2492C2211yescharacteristic
163#2491C2211yescharacteristic
164#2491C2211yescharacteristic
165#2490C2211yescharacteristic
166#2490C2211yescharacteristic
167#2489C2211yescharacteristic
168#2489C2211yescharacteristic
169#2488C2212yes—
170#2488C2212yes—
171#2487C2214yes—
172#2487C2212yes—
173#2486C2212yes—
174#2485C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2473C2214yes—
181#2472C2212yes—
182#2472C2212yes—
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2450C2214yes—
188#2449C2214yes—
189#2444C2214yes—
190#2443C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2442C2212yescomplemented
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2441C2212yescomplemented
205#2441C2212yescomplemented
206#2441C2212yescomplemented
207#2440C2212yescomplemented
208#2439C2212yescomplemented
209#2429C2211yescharacteristic
210#2429C2211yescharacteristic
211#2429C2212yescomplemented
212#2428C2211yescharacteristic
213#2428C2211yescharacteristic
214#2428C2212yescomplemented
215#2427C2211yescharacteristic
216#2427C2211yescharacteristic
217#2427C2212yescomplemented
218#2426C2211yescharacteristic
219#2426C2211yescharacteristic
220#2426C2212yescomplemented
221#2425C2212yes—
222#2425C2214yes—
223#2425C2212yes—
224#2424C2212yes—
225#2424C2214yes—
226#2424C2212yes—
227#2423C2212yes—
228#2423C2212yescomplemented
229#2423C2212yescomplemented
230#2423C2212yescomplemented
231#2422C2212yes—
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2421C2212yes—
236#2421C2212yescomplemented
237#2420C2212yes—
238#2420C2212yescomplemented
239#2419C2214yes—
240#2418C2214yes—
241#2417C2214yes—
242#2417C2212yes—
243#2417C2214yes—
244#2417C2212yescomplemented
245#2416C2212yes—
246#2416C2214yes—
247#2416C2212yescomplemented
248#2415C2212yes—
249#2415C2212yes—
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2415C2212yescomplemented
254#2414C2212yes—
255#2414C2212yes—
256#2414C2212yes—
257#2414C2212yes—
258#2414C2212yes—
259#2414C2212yescomplemented
260#2398C2212yes—
261#2398C2212yes—
262C2×#399C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#396C2212yes—
266#2378C2214yescomplemented
267#2378C2214yescomplemented
268#2376C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#389C2212yes—
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#387C2212yes—
294C2×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#537—44no—
304#537—44no—
305#533—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#125—44no—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323#525—44no—
324#525—44no—
325#525—44no—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#120C2312yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369#520—44no—
370#520—44no—
371C4×#41—44no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×#117—44no—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
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#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2312yes—
516#396C2314yes—
517#395C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#393C2312yes—
553#393C2314yes—
554#393C2312yes—
555#393C2312yes—
556#393C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2314yes—
754#382C2312yes—
755#382C2312yes—
756#381C2314yes—
757#381C2312yes—
758#381C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#379C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C4⋊Q8—42no—
878C4⋊Q8—42no—
879C4⋊Q8—42no—
880#127—42no—
881#125—44no—
882#125—44no—
883#125—44no—
884#125—44no—
885#125—42no—
886#125—42no—
887#125—84no—
888#124—42no—
889#124—42no—
890#124—44no—
891#124—44no—
892#123—48no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—44no—
897#123—84no—
898#123—84no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—84no—
914#121—44no—
915#121—44no—
916#121—42no—
917#121—42no—
918#121—42no—
919#121—42no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—48no—
929#121—48no—
930#121—84no—
931#121—84no—
932#120—44no—
933#120—44no—
934#120—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957#117—24no—
958#117—24no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—82no—
980C2×C4⋊C4—82no—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—42no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—82no—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
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#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
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—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—416no—
1223#41—416no—
1224#41—416no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—42no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—416no—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C4H(5,𝔽2)14yes—
1351C22×C42−1+414yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2514yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2514yes—
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—44no—
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—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—44no—
1530C42—44no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23C2×H(5,𝔽2)12yes—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2×2−1+412yes—
1588C23C2611yescharacteristic
1589Q8—44no—
1590Q8—44no—
1591Q8—44no—
1592Q8—84no—
1593Q8—84no—
1594D4—48no—
1595D4—48no—
1596D4—48no—
1597D4—44no—
1598D4—44no—
1599D4—44no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—164no—
1609D4—164no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—82no—
1703C2×C4—82no—
1704C2×C4—84no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—164no—
1708C2×C4—164no—
1709C2×C4#562116yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×2−1+412yes—
1715C2×C4C2×2−1+412yes—
1716C2×C4#58512yes—
1717C2×C4#58512yes—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—88no—
1760C22C2×#56214yes—
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C222−1+611yescharacteristic
1768C4—22no—
1769C4—22no—
1770C4—42no—
1771C4—42no—
1772C4—44no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—44no—
1787C4—41no—
1788C4—44no—
1789C4—42no—
1790C4—41no—
1791C4—44no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4C2×#56214yes—
1796C4C2×#56214yes—
1797C2—24no—
1798C2—82no—
1799C2—82no—
1800C2—82no—
1801C2—81no—
1802C2—81no—
1803C2C22×#56211yescharacteristic
1804C2#6283811yescharacteristic
1805C2#6287711yescharacteristic
1806C2#6292511yescharacteristic
1807C2#6292711yescharacteristic
1808C2#6295511yescharacteristic
1809C2#6295711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53149C2semidirect
2. #53145C2semidirect
3. #53134C2semidirect
4. #53115C2semidirect
5. #53077C2semidirect
6. #53076C2semidirect
7. #53062C2semidirect
8. #53052C2semidirect
9. #52425C2semidirect
10. #52370C2semidirect
11. #46112C2semidirect
12. #46104C2semidirect
13. #46083C2semidirect
14. #46083C2semidirect
15. #45749C2semidirect
16. #45676C2semidirect
17. #45656C2semidirect
18. #45586C2semidirect
19. #45519C2semidirect
20. #45514C2semidirect
21. #35639C2semidirect
22. #35564C2semidirect
23. #35530C2semidirect
24. #35519C2semidirect
25. #35518C2semidirect
26. #35516C2semidirect
27. #35341C2semidirect
28. #35280C2semidirect
29. #35265C2semidirect
30. #35255C2semidirect
31. #35157C2semidirect
32. #35150C2semidirect
33. #34813C2semidirect
34. #34743C2semidirect
35. C2×#2441C2semidirect
48. #2864C22semidirect
49. #2861C22semidirect
50. #2861C22semidirect
51. #2859C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2855C22semidirect
56. #2854C22semidirect
58. #2839C22semidirect
63. #2837C22semidirect
66. #2836C22semidirect
71. #2829C22semidirect
78. #2802C22semidirect
79. #2802C22semidirect
80. #2802C22semidirect
83. #2800C22semidirect
84. #2800C22semidirect
86. #2798C22semidirect
87. #2788C22semidirect
88. #2783C22semidirect
89. #2783C22semidirect
91. #2781C22semidirect
93. #2779C22semidirect
94. #2779C22semidirect
95. #2772C22semidirect
96. #2768C22semidirect
97. #2754C22semidirect
98. #2747C22semidirect
99. #2743C22semidirect
101. #2741C22semidirect
103. #2740C22semidirect
109. #2704C22semidirect
110. #2701C22semidirect
111. #2696C22semidirect
113. #2694C22semidirect
115. #2681C22semidirect
118. #2647C22semidirect
119. #2647C22semidirect
120. #2642C22semidirect
121. #2641C22semidirect
122. #2629C22semidirect
123. #2629C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
132. #2582C22semidirect
133. #2581C22semidirect
134. #2580C22semidirect
136. #2562C22semidirect
137. #2562C22semidirect
138. #2562C22semidirect
139. #2562C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
148. #2509C22semidirect
149. #2508C22semidirect
150. #2507C22semidirect
151. #2506C22semidirect
153. #2502C22semidirect
154. #2501C22semidirect
157. #2500C22semidirect
160. #2499C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
207. #2440C22semidirect
208. #2439C22semidirect
211. #2429C22semidirect
214. #2428C22semidirect
217. #2427C22semidirect
220. #2426C22semidirect
228. #2423C22semidirect
229. #2423C22semidirect
230. #2423C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
236. #2421C22semidirect
238. #2420C22semidirect
244. #2417C22semidirect
247. #2416C22semidirect
253. #2415C22semidirect
259. #2414C22semidirect
266. #2378C22semidirect
267. #2378C22semidirect
268. #2376C22semidirect
269. #2376C22semidirect

Maximal subgroups

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

subgroupindex
#531492
#531452
#531342
#531152
#530772
#530762
#530622
#530522
#524252
#523702
#461122
#461042
#460832
#457492
#456762
#456562
#455862
#455192
#455142
#356392
#355642
#355302
#355192
#355182
#355162
#353412
#352802
#352652
#352552
#351572
#351502
#348132
#347432
C2×#24412