Finite Group Databasebeta

← #7650730

Subgroups — #7650730

Order 512.

4868 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42949C212yesmaximal, complemented
2#42948C212yesmaximal, complemented
3#42865C212yesmaximal, complemented
4#42827C212yesmaximal, complemented
5#42615C212yesmaximal, complemented
6#42531C212yesmaximal, complemented
7#42451C212yesmaximal, complemented
8#42450C212yesmaximal, complemented
9#41552C214yesmaximal, complemented
10#40809C214yesmaximal, complemented
11#40219C212yesmaximal, complemented
12#40144C212yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39914C212yesmaximal, complemented
15#39214C212yesmaximal, complemented
16#39145C212yesmaximal, complemented
17#38996C212yesmaximal, complemented
18#38929C212yesmaximal, complemented
19#38501C214yesmaximal, complemented
20#37908C214yesmaximal, complemented
21#35639C211yesmaximal, characteristic, complemented
22#35629C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35333C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31#34742C211yesmaximal, characteristic, complemented
32C2×#2442C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34200C211yesmaximal, characteristic, complemented
35#34184C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2855C2212yescomplemented
46#2854C2212yescomplemented
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2849C2214yes—
50#2839C2214yescomplemented
51#2836C2214yescomplemented
52#2834C2214yescomplemented
53#2827C2214yescomplemented
54#2807C2214yes—
55#2807C2214yescomplemented
56#2787C2214yes—
57#2786C2214yescomplemented
58#2783C2214yescomplemented
59#2782C2214yes—
60#2782C2214yescomplemented
61#2781C2214yes—
62#2777C2214yescomplemented
63#2776C2214yescomplemented
64#2770C2214yescomplemented
65#2769C2214yescomplemented
66#2767C2214yescomplemented
67#2765C2214yes—
68#2765C2214yescomplemented
69#2750C2214yes—
70#2747C2214yescomplemented
71#2746C2214yes—
72#2746C2214yes—
73#2744C2214yes—
74#2744C2214yescomplemented
75#2743C2214yescomplemented
76#2738C2214yescomplemented
77#2726C2214yescomplemented
78#2724C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2695C2214yes—
82#2694C2214yes—
83#2694C2214yescomplemented
84#2693C2214yes—
85#2691C2214yes—
86#2667C2214yes—
87#2655C2214yescomplemented
88#2655C2214yescomplemented
89#2654C2214yescomplemented
90#2652C2214yescomplemented
91#2652C2214yescomplemented
92#2649C2214yes—
93#2646C2214yescomplemented
94#2643C2214yescomplemented
95#2633C2214yes—
96#2633C2214yescomplemented
97#2630C2214yes—
98#2629C2212yescomplemented
99#2629C2212yescomplemented
100#2625C2212yescomplemented
101#2624C2212yescomplemented
102#2623C2214yes—
103#2590C2214yescomplemented
104#2579C2214yes—
105#2579C2214yes—
106#2579C2214yes—
107#2577C2214yes—
108#2575C2214yescomplemented
109#2573C2214yes—
110#2571C2212yescomplemented
111#2571C2212yescomplemented
112#2570C2212yescomplemented
113#2570C2212yescomplemented
114#2570C2212yescomplemented
115#2570C2212yescomplemented
116#2566C2212yescomplemented
117#2566C2212yescomplemented
118#2565C2212yescomplemented
119#2565C2212yescomplemented
120#2558C2214yes—
121#2553C2214yes—
122#2552C2212yescomplemented
123#2552C2212yescomplemented
124#2538C2212yes—
125#2537C2212yes—
126#2536C2212yes—
127#2535C2212yes—
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2510C2214yes—
133#2510C2214yes—
134#2509C2212yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2506C2212yescomplemented
141#2506C2212yescomplemented
142#2505C2214yes—
143#2505C2214yes—
144#2504C2212yes—
145#2503C2212yes—
146#2502C2212yes—
147#2501C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2496C2212yes—
151#2496C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2495C2212yescomplemented
155#2495C2212yescomplemented
156#2494C2212yes—
157#2494C2212yes—
158#2494C2212yescomplemented
159#2494C2212yescomplemented
160#2493C2214yes—
161#2493C2214yescomplemented
162#2487C2212yes—
163#2487C2214yes—
164#2487C2212yes—
165#2486C2212yes—
166#2486C2212yes—
167#2480C2214yes—
168#2473C2214yes—
169#2473C2214yes—
170#2460C2214yes—
171#2455C2214yes—
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2453C2212yescomplemented
175#2453C2212yescomplemented
176#2444C2214yes—
177#2443C2214yes—
178#2442C2212yes—
179#2442C2212yes—
180#2442C2212yes—
181#2442C2212yes—
182#2442C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yes—
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2441C2212yescomplemented
189#2441C2212yescomplemented
190#2425C2214yes—
191#2425C2214yes—
192#2424C2214yes—
193#2423C2211yescharacteristic
194#2423C2211yescharacteristic
195#2423C2211yescharacteristic
196#2423C2211yescharacteristic
197#2423C2212yescomplemented
198#2422C2211yescharacteristic
199#2422C2211yescharacteristic
200#2422C2211yescharacteristic
201#2422C2211yescharacteristic
202#2422C2212yescomplemented
203#2421C2211yescharacteristic
204#2421C2211yescharacteristic
205#2421C2211yescharacteristic
206#2421C2211yescharacteristic
207#2421C2212yescomplemented
208#2420C2211yescharacteristic
209#2420C2211yescharacteristic
210#2420C2211yescharacteristic
211#2420C2211yescharacteristic
212#2420C2212yescomplemented
213#2419C2214yes—
214#2419C2212yes—
215#2419C2212yes—
216#2419C2212yes—
217#2419C2212yes—
218#2419C2214yescomplemented
219#2418C2212yes—
220#2418C2212yes—
221#2418C2212yes—
222#2418C2212yes—
223#2417C2212yes—
224#2416C2212yes—
225#2415C2212yes—
226#2414C2212yes—
227#2395C2212yes—
228#2395C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#398C2212yes—
233#2364C2214yes—
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2361C2212yes—
237#2361C2214yes—
238#2361C2212yes—
239#2361C2212yescomplemented
240#2360C2212yes—
241#2360C2212yes—
242#2360C2212yescomplemented
243#2352C2212yes—
244#2352C2212yes—
245#2351C2212yescomplemented
246#2351C2212yescomplemented
247#2349C2214yes—
248#2349C2214yes—
249#2349C2212yescomplemented
250#2349C2212yescomplemented
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253#2335C2214yes—
254#2334C2214yes—
255#2325C2214yes—
256#2324C2212yescomplemented
257#2323C2212yescomplemented
258#2322C2214yes—
259#2318C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2212yescomplemented
267#2317C2212yescomplemented
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yescomplemented
279C4×#120C2214yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#385C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2212yescomplemented
290C2×#382C2211yescharacteristic
291C2×#382C2212yescomplemented
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2212yes—
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#537—28no—
304C2×#126C2314yes—
305C2×#125—44no—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312#525—28no—
313#525—44no—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#120C2312yes—
338C2×#120C2312yes—
339#520—44no—
340#520—44no—
341C4×#41—28no—
342C4×#41—44no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C22×C4⋊C4—44no—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
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#400C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#399C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#392C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
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#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
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#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#379C2312yes—
768#379C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
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⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
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—44no—
841C23×C4—44no—
842C23×C4—82no—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867#126—48no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—44no—
872#125—84no—
873#125—84no—
874#123—28no—
875#123—44no—
876#123—44no—
877#123—44no—
878#123—44no—
879#123—48no—
880#123—44no—
881#123—84no—
882#123—84no—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889#121—24no—
890#121—24no—
891#121—28no—
892#121—216no—
893#121—28no—
894#121—48no—
895#121—42no—
896#121—42no—
897#120—28no—
898#120—44no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—84no—
923C4×D4—84no—
924#117—28no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—44no—
932#117—44no—
933#117—44no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—42no—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C42—28no—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—44no—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2511yescharacteristic
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—232no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8C2×#4114yes—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4C2×#4118yes—
1229C2×D4C2×#4114yes—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—416no—
1299C22×C4—816no—
1300C22×C4C2×#4118yes—
1301C22×C4C2×#4114yes—
1302C22×C4H(5,𝔽2)14yes—
1303C22×C42−1+414yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—44no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C22×#4114yes—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2×2−1+412yes—
1525C23#58512yes—
1526C23#58512yes—
1527C23C2611yescharacteristic
1528Q8—28no—
1529Q8—44no—
1530D4—216no—
1531D4—28no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—44no—
1536D4—88no—
1537D4—84no—
1538D4—84no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—216no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—82no—
1631C2×C4—84no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—88no—
1643C2×C4—164no—
1644C2×C4—164no—
1645C2×C4#539116yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—24no—
1660C22—22no—
1661C22—24no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—24no—
1667C22—22no—
1668C22—416no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22C2×#53914yes—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C222−1+611yescharacteristic
1696C4—24no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—44no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—41no—
1712C4—41no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—44no—
1723C4—42no—
1724C4C2×#53914yes—
1725C4C2×#53914yes—
1726C2—24no—
1727C2—44no—
1728C2—42no—
1729C2—42no—
1730C2—82no—
1731C2C22×#53911yescharacteristic
1732C2#6282511yescharacteristic
1733C2#6287711yescharacteristic
1734C2#6292411yescharacteristic
1735C2#6295411yescharacteristic
1736C2#6299311yescharacteristic
1737C2#6300811yescharacteristic
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. #42949C2semidirect
2. #42948C2semidirect
3. #42865C2semidirect
4. #42827C2semidirect
5. #42615C2semidirect
6. #42531C2semidirect
7. #42451C2semidirect
8. #42450C2semidirect
9. #41552C2semidirect
10. #40809C2semidirect
11. #40219C2semidirect
12. #40144C2semidirect
13. #39938C2semidirect
14. #39914C2semidirect
15. #39214C2semidirect
16. #39145C2semidirect
17. #38996C2semidirect
18. #38929C2semidirect
19. #38501C2semidirect
20. #37908C2semidirect
21. #35639C2semidirect
22. #35629C2semidirect
23. #35544C2semidirect
24. #35543C2semidirect
25. #35543C2semidirect
27. #35333C2semidirect
28. #35255C2semidirect
29. #35227C2semidirect
30. #34742C2semidirect
31. #34742C2semidirect
32. C2×#2442C2semidirect
33. #34267C2semidirect
34. #34200C2semidirect
35. #34184C2semidirect
45. #2855C22semidirect
46. #2854C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2836C22semidirect
52. #2834C22semidirect
53. #2827C22semidirect
55. #2807C22semidirect
57. #2786C22semidirect
58. #2783C22semidirect
60. #2782C22semidirect
62. #2777C22semidirect
63. #2776C22semidirect
64. #2770C22semidirect
65. #2769C22semidirect
66. #2767C22semidirect
68. #2765C22semidirect
70. #2747C22semidirect
74. #2744C22semidirect
75. #2743C22semidirect
76. #2738C22semidirect
77. #2726C22semidirect
83. #2694C22semidirect
87. #2655C22semidirect
88. #2655C22semidirect
89. #2654C22semidirect
90. #2652C22semidirect
91. #2652C22semidirect
93. #2646C22semidirect
94. #2643C22semidirect
96. #2633C22semidirect
98. #2629C22semidirect
99. #2629C22semidirect
100. #2625C22semidirect
101. #2624C22semidirect
103. #2590C22semidirect
108. #2575C22semidirect
110. #2571C22semidirect
111. #2571C22semidirect
112. #2570C22semidirect
113. #2570C22semidirect
114. #2570C22semidirect
115. #2570C22semidirect
116. #2566C22semidirect
117. #2566C22semidirect
118. #2565C22semidirect
119. #2565C22semidirect
122. #2552C22semidirect
123. #2552C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
134. #2509C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
140. #2506C22semidirect
141. #2506C22semidirect
154. #2495C22semidirect
155. #2495C22semidirect
158. #2494C22semidirect
159. #2494C22semidirect
161. #2493C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2453C22semidirect
175. #2453C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
197. #2423C22semidirect
202. #2422C22semidirect
207. #2421C22semidirect
212. #2420C22semidirect
218. #2419C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
239. #2361C22semidirect
242. #2360C22semidirect
245. #2351C22semidirect
246. #2351C22semidirect
249. #2349C22semidirect
250. #2349C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
266. #2317C22semidirect
267. #2317C22semidirect
273. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
289. #2285C22semidirect
291. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#429492
#429482
#428652
#428272
#426152
#425312
#424512
#424502
#415522
#408092
#402192
#401442
#399382
#399142
#392142
#391452
#389962
#389292
#385012
#379082
#356392
#356292
#355442
#355432
#355182
#353332
#352552
#352272
#347422
C2×#24422
#342672
#342002
#341842