Finite Group Databasebeta

← #7643475

Subgroups — #7643475

Order 512.

4968 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40219C212yesmaximal, complemented
2#40195C212yesmaximal, complemented
3#40168C212yesmaximal, complemented
4#40144C212yesmaximal, complemented
5#39239C212yesmaximal, complemented
6#39214C212yesmaximal, complemented
7#39021C212yesmaximal, complemented
8#38996C212yesmaximal, complemented
9#38533C214yesmaximal, complemented
10#38501C214yesmaximal, complemented
11#38179C214yesmaximal, complemented
12#38145C214yesmaximal, complemented
13#37415C212yesmaximal, complemented
14#37407C212yesmaximal, complemented
15#37370C212yesmaximal, complemented
16#37360C212yesmaximal, complemented
17#36626C211yesmaximal, characteristic, complemented
18C2×#2851C211yesmaximal, characteristic, complemented
19#35639C211yesmaximal, characteristic, complemented
20#35639C211yesmaximal, characteristic, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic
25#35516C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35047C212yesmaximal, complemented
30#35045C212yesmaximal, complemented
31#35029C212yesmaximal, complemented
32#35026C212yesmaximal, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34250C211yesmaximal, characteristic, complemented
35C4×#525C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C23×C42C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2860C2212yescomplemented
48#2859C2212yescomplemented
49#2855C2211yescharacteristic
50#2855C2211yescharacteristic
51#2855C2211yescharacteristic
52#2855C2211yescharacteristic
53#2854C2211yescharacteristic
54#2854C2211yescharacteristic
55#2854C2211yescharacteristic
56#2854C2211yescharacteristic
57#2853C2212yes—
58#2853C2212yes—
59#2851C2212yes—
60#2851C2212yes—
61#2851C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2851C2212yes—
65#2851C2212yes—
66#2851C2212yes—
67#2849C2212yes—
68#2849C2212yes—
69#2810C2214yescomplemented
70#2807C2214yes—
71#2796C2214yes—
72#2796C2214yescomplemented
73#2794C2214yescomplemented
74#2793C2214yescomplemented
75#2790C2214yes—
76#2787C2214yescomplemented
77#2787C2214yescomplemented
78#2783C2214yescomplemented
79#2782C2214yes—
80#2782C2214yes—
81#2776C2214yescomplemented
82#2771C2214yes—
83#2767C2214yescomplemented
84#2765C2214yes—
85#2750C2214yes—
86#2750C2214yescomplemented
87#2747C2214yescomplemented
88#2746C2214yes—
89#2746C2214yescomplemented
90#2744C2214yescomplemented
91#2743C2214yes—
92#2740C2214yescomplemented
93#2739C2214yescomplemented
94#2738C2214yescomplemented
95#2724C2214yes—
96#2718C2214yes—
97#2708C2214yes—
98#2706C2214yes—
99#2693C2214yes—
100#2691C2214yes—
101#2655C2214yescomplemented
102#2654C2214yescomplemented
103#2652C2214yes—
104#2652C2214yescomplemented
105#2649C2214yes—
106#2649C2214yescomplemented
107#2647C2212yescomplemented
108#2647C2212yescomplemented
109#2645C2212yescomplemented
110#2644C2212yescomplemented
111#2636C2214yes—
112#2633C2214yes—
113#2596C2214yescomplemented
114#2590C2214yescomplemented
115#2585C2214yescomplemented
116#2579C2214yes—
117#2579C2214yes—
118#2575C2214yes—
119#2573C2214yes—
120#2573C2214yescomplemented
121#2571C2212yescomplemented
122#2571C2212yescomplemented
123#2570C2212yescomplemented
124#2570C2212yescomplemented
125#2558C2214yes—
126#2553C2214yes—
127#2538C2212yes—
128#2537C2212yes—
129#2536C2212yes—
130#2535C2212yes—
131#2517C2214yescomplemented
132#2510C2214yes—
133#2509C2212yescomplemented
134#2509C2212yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2508C2212yescomplemented
138#2508C2212yescomplemented
139#2507C2212yescomplemented
140#2506C2212yescomplemented
141#2505C2214yes—
142#2505C2214yes—
143#2505C2214yes—
144#2504C2212yescomplemented
145#2503C2212yescomplemented
146#2500C2212yescomplemented
147#2499C2212yescomplemented
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yescomplemented
151#2496C2212yes—
152#2496C2212yes—
153#2496C2212yescomplemented
154#2495C2212yes—
155#2495C2212yes—
156#2495C2212yescomplemented
157#2494C2212yes—
158#2494C2212yes—
159#2494C2212yescomplemented
160#2493C2214yes—
161#2493C2214yescomplemented
162#2487C2214yes—
163#2487C2214yes—
164#2487C2212yes—
165#2487C2212yes—
166#2486C2212yes—
167#2486C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2485C2212yes—
172#2481C2214yes—
173#2481C2214yescomplemented
174#2480C2214yes—
175#2473C2214yes—
176#2466C2214yes—
177#2460C2214yescomplemented
178#2455C2214yes—
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2444C2214yes—
188#2444C2214yes—
189#2443C2214yes—
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2425C2214yes—
199#2424C2214yes—
200#2423C2212yes—
201#2423C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2421C2212yes—
205#2421C2212yes—
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2419C2214yes—
213#2419C2214yes—
214#2419C2214yes—
215#2418C2214yes—
216#2418C2214yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2364C2214yes—
222#2363C2212yescomplemented
223#2362C2212yescomplemented
224#2361C2214yes—
225#2361C2212yescomplemented
226#2360C2212yescomplemented
227#2351C2212yescomplemented
228Q8×C4⋊C4C2212yescomplemented
229#2349C2214yes—
230#2349C2212yescomplemented
231D4×C4⋊C4C2214yes—
232D4×C4⋊C4C2212yescomplemented
233#2336C2214yescomplemented
234#2335C2214yes—
235#2334C2214yes—
236#2334C2214yescomplemented
237#2325C2214yes—
238#2324C2212yescomplemented
239#2323C2212yescomplemented
240#2322C2214yes—
241#2318C2214yescomplemented
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2317C2211yescharacteristic
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2317C2212yescomplemented
248#2316C2211yescharacteristic
249#2316C2211yescharacteristic
250#2316C2211yescharacteristic
251#2316C2212yescomplemented
252#2313C2214yescomplemented
253#2311C2211yescharacteristic
254#2311C2211yescharacteristic
255#2311C2211yescharacteristic
256C4×C22⋊Q8C2211yescharacteristic
257C4×C22⋊Q8C2211yescharacteristic
258C4×C22⋊Q8C2211yescharacteristic
259C4×C22⋊Q8C2211yescharacteristic
260C4×C22⋊Q8C2212yescomplemented
261C4×#123C2212yes—
262C4×#123C2212yes—
263C4×#123C2212yes—
264C4×#123C2212yes—
265C4×#123C2212yes—
266C4×#123C2212yes—
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270C4×#121C2211yescharacteristic
271C4×#121C2212yescomplemented
272C4×#120C2212yes—
273C4×#120C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2212yescomplemented
281C2×#389C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2212yescomplemented
284#2290C2212yes—
285#2290C2212yes—
286C2×#387C2212yes—
287C2×#387C2212yes—
288C2×#385C2212yes—
289C2×#385C2212yes—
290C2×#382C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#537—28no—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125—44no—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313#525—28no—
314#525—44no—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#120C2312yes—
338C2×#120C2312yes—
339#520—28no—
340#520—44no—
341#520—44no—
342C4×#41—44no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42—44no—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405#401C2314yes—
406#401C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2314yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#383C2314yes—
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—42no—
841C23×C4—42no—
842C23×C4—42no—
843C23×C4—42no—
844C23×C4—42no—
845C23×C4—42no—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875#126—48no—
876#126—48no—
877#125—44no—
878#125—44no—
879#125—44no—
880#125—44no—
881#125—48no—
882#123—28no—
883#123—48no—
884#123—48no—
885#123—44no—
886#123—44no—
887#123—44no—
888#123—44no—
889#123—44no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896#121—24no—
897#121—24no—
898#121—28no—
899#121—216no—
900#121—28no—
901#121—48no—
902#121—42no—
903#121—42no—
904#120—28no—
905#120—44no—
906C4×Q8—28no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—216no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930#117—28no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—44no—
938#117—44no—
939#117—44no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—48no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—42no—
1075C2×C42—42no—
1076C2×C42—42no—
1077C2×C42—42no—
1078C2×C42—42no—
1079C2×C42—42no—
1080C2×C42—42no—
1081C2×C42—42no—
1082C2×C42—42no—
1083C2×C42—42no—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
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#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
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—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201#41—232no—
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8C2×#4114yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4C2×#4118yes—
1235C2×D4C2×#4114yes—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—416no—
1320C22×C4—416no—
1321C22×C4—416no—
1322C22×C4C2×#4118yes—
1323C22×C4C2×#4114yes—
1324C22×C4H(5,𝔽2)14yes—
1325C22×C42−1+414yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
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—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C42—24no—
1474C42—28no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—41no—
1491C42—41no—
1492C42—41no—
1493C42—41no—
1494C42—41no—
1495C42—41no—
1496C42—41no—
1497C42—41no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—28no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23C22×#4114yes—
1543C23C22×#4112yes—
1544C23C2×H(5,𝔽2)12yes—
1545C23C2×2−1+412yes—
1546C23#58512yes—
1547C23#58512yes—
1548C23C2611yescharacteristic
1549Q8—28no—
1550Q8—44no—
1551D4—216no—
1552D4—28no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—88no—
1558D4—84no—
1559D4—84no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—216no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—88no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—164no—
1668C2×C4—164no—
1669C2×C4#539116yes—
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—24no—
1686C22—22no—
1687C22—22no—
1688C22—24no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—24no—
1694C22—416no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22C2×#53914yes—
1715C22C23×#4111yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×2−1+411yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—24no—
1725C4—42no—
1726C4—44no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—44no—
1739C4—44no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—41no—
1749C4—42no—
1750C4C2×#53914yes—
1751C4C2×#53914yes—
1752C2—24no—
1753C2—44no—
1754C2—42no—
1755C2—42no—
1756C2—82no—
1757C2C22×#53911yescharacteristic
1758C2#6281011yescharacteristic
1759C2#6281011yescharacteristic
1760C2#6282111yescharacteristic
1761C2#6282111yescharacteristic
1762C2#6282511yescharacteristic
1763C2#6283811yescharacteristic
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. #40219C2semidirect
2. #40195C2semidirect
3. #40168C2semidirect
4. #40144C2semidirect
5. #39239C2semidirect
6. #39214C2semidirect
7. #39021C2semidirect
8. #38996C2semidirect
9. #38533C2semidirect
10. #38501C2semidirect
11. #38179C2semidirect
12. #38145C2semidirect
13. #37415C2semidirect
14. #37407C2semidirect
15. #37370C2semidirect
16. #37360C2semidirect
17. #36626C2semidirect
18. C2×#2851C2semidirect
19. #35639C2semidirect
20. #35639C2semidirect
21. #35627C2semidirect
22. #35618C2semidirect
23. #35544C2semidirect
25. #35516C2semidirect
26. #35516C2semidirect
27. #35267C2semidirect
28. #35265C2semidirect
29. #35047C2semidirect
30. #35045C2semidirect
31. #35029C2semidirect
32. #35026C2semidirect
33. #34267C2semidirect
34. #34250C2semidirect
35. C4×#525C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
69. #2810C22semidirect
72. #2796C22semidirect
73. #2794C22semidirect
74. #2793C22semidirect
76. #2787C22semidirect
77. #2787C22semidirect
78. #2783C22semidirect
81. #2776C22semidirect
83. #2767C22semidirect
86. #2750C22semidirect
87. #2747C22semidirect
89. #2746C22semidirect
90. #2744C22semidirect
92. #2740C22semidirect
93. #2739C22semidirect
94. #2738C22semidirect
101. #2655C22semidirect
102. #2654C22semidirect
104. #2652C22semidirect
106. #2649C22semidirect
107. #2647C22semidirect
108. #2647C22semidirect
109. #2645C22semidirect
110. #2644C22semidirect
113. #2596C22semidirect
114. #2590C22semidirect
115. #2585C22semidirect
120. #2573C22semidirect
121. #2571C22semidirect
122. #2571C22semidirect
123. #2570C22semidirect
124. #2570C22semidirect
131. #2517C22semidirect
133. #2509C22semidirect
134. #2509C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2508C22semidirect
138. #2508C22semidirect
139. #2507C22semidirect
140. #2506C22semidirect
144. #2504C22semidirect
145. #2503C22semidirect
146. #2500C22semidirect
147. #2499C22semidirect
150. #2497C22semidirect
153. #2496C22semidirect
156. #2495C22semidirect
159. #2494C22semidirect
161. #2493C22semidirect
173. #2481C22semidirect
177. #2460C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
222. #2363C22semidirect
223. #2362C22semidirect
225. #2361C22semidirect
226. #2360C22semidirect
227. #2351C22semidirect
228. Q8×C4⋊C4C22semidirect
230. #2349C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2336C22semidirect
236. #2334C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
241. #2318C22semidirect
247. #2317C22semidirect
251. #2316C22semidirect
252. #2313C22semidirect
260. C4×C22⋊Q8C22semidirect
271. C4×#121C22semidirect
280. #2296C22semidirect
283. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#402192
#401952
#401682
#401442
#392392
#392142
#390212
#389962
#385332
#385012
#381792
#381452
#374152
#374072
#373702
#373602
#366262
C2×#28512
#356392
#356272
#356182
#355442
#355182
#355162
#352672
#352652
#350472
#350452
#350292
#350262
#342672
#342502
C4×#5252