Finite Group Databasebeta

← #7651284

Subgroups — #7651284

Order 512.

4942 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42949C212yesmaximal, complemented
2#42925C212yesmaximal, complemented
3#42897C212yesmaximal, complemented
4#42830C212yesmaximal, complemented
5#42742C212yesmaximal, complemented
6#42612C212yesmaximal, complemented
7#42465C212yesmaximal, complemented
8#42450C212yesmaximal, complemented
9#40812C214yesmaximal, complemented
10#40732C214yesmaximal, complemented
11#40141C212yesmaximal, complemented
12#40128C212yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39915C212yesmaximal, complemented
15#39524C212yesmaximal, complemented
16#39219C212yesmaximal, complemented
17#39145C212yesmaximal, complemented
18#38939C212yesmaximal, complemented
19#38504C214yesmaximal, complemented
20#38140C214yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35541C211yesmaximal, characteristic, complemented
24#35533C211yesmaximal, characteristic
25#35531C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35159C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31C2×#2513C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34184C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2854C2212yes—
48#2854C2212yes—
49#2851C2214yes—
50#2837C2214yescomplemented
51#2836C2214yescomplemented
52#2827C2214yescomplemented
53#2824C2214yescomplemented
54#2808C2214yescomplemented
55#2807C2214yescomplemented
56#2798C2214yescomplemented
57#2796C2214yescomplemented
58#2787C2214yescomplemented
59#2786C2214yescomplemented
60#2785C2214yescomplemented
61#2783C2214yescomplemented
62#2782C2214yescomplemented
63#2782C2214yescomplemented
64#2781C2214yescomplemented
65#2781C2214yescomplemented
66#2777C2214yescomplemented
67#2775C2214yescomplemented
68#2765C2214yescomplemented
69#2744C2214yescomplemented
70#2743C2214yescomplemented
71#2740C2214yescomplemented
72#2728C2214yescomplemented
73#2724C2214yescomplemented
74#2711C2214yescomplemented
75#2708C2214yescomplemented
76#2706C2214yescomplemented
77#2705C2214yescomplemented
78#2696C2214yescomplemented
79#2694C2214yescomplemented
80#2694C2214yescomplemented
81#2694C2214yescomplemented
82#2693C2214yescomplemented
83#2691C2214yescomplemented
84#2687C2214yescomplemented
85#2681C2214yescomplemented
86#2663C2214yescomplemented
87#2654C2214yescomplemented
88#2654C2214yescomplemented
89#2653C2214yescomplemented
90#2652C2214yescomplemented
91#2651C2214yescomplemented
92#2649C2214yescomplemented
93#2646C2214yes—
94#2645C2212yescomplemented
95#2644C2212yescomplemented
96#2643C2214yescomplemented
97#2639C2214yescomplemented
98#2633C2214yescomplemented
99#2630C2214yescomplemented
100#2630C2214yescomplemented
101#2624C2212yes—
102#2624C2212yes—
103#2596C2214yescomplemented
104#2575C2214yescomplemented
105#2571C2211yescharacteristic, complemented
106#2571C2211yescharacteristic, complemented
107#2570C2211yescharacteristic, complemented
108#2570C2211yescharacteristic, complemented
109#2570C2211yescharacteristic, complemented
110#2570C2211yescharacteristic, complemented
111#2569C2212yes—
112#2569C2212yes—
113#2568C2212yescomplemented
114#2566C2212yes—
115#2566C2212yes—
116#2566C2212yescomplemented
117#2565C2212yescomplemented
118#2564C2214yes—
119#2563C2212yes—
120#2563C2212yescomplemented
121#2560C2214yescomplemented
122#2558C2214yescomplemented
123#2556C2214yescomplemented
124#2553C2214yescomplemented
125#2552C2211yescharacteristic, complemented
126#2552C2211yescharacteristic, complemented
127#2548C2212yes—
128#2545C2212yes—
129#2544C2212yes—
130#2542C2212yes—
131#2541C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2510C2214yes—
141#2509C2212yescomplemented
142#2509C2212yescomplemented
143#2508C2212yescomplemented
144#2508C2212yescomplemented
145#2507C2212yescomplemented
146#2507C2212yescomplemented
147#2506C2212yescomplemented
148#2506C2212yescomplemented
149#2504C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2497C2212yescomplemented
154#2496C2212yescomplemented
155#2495C2212yescomplemented
156#2494C2212yescomplemented
157#2488C2214yescomplemented
158#2481C2214yes—
159#2460C2214yescomplemented
160#2455C2214yescomplemented
161#2454C2212yes—
162#2454C2212yes—
163#2454C2212yescomplemented
164#2453C2212yescomplemented
165#2452C2212yes—
166#2452C2212yes—
167#2452C2212yescomplemented
168#2451C2212yescomplemented
169#2450C2214yes—
170#2450C2214yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2448C2211yescharacteristic, complemented
176#2448C2211yescharacteristic, complemented
177#2447C2212yes—
178#2447C2212yes—
179#2447C2211yescharacteristic, complemented
180#2447C2211yescharacteristic, complemented
181#2446C2211yescharacteristic, complemented
182#2446C2211yescharacteristic, complemented
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2211yescharacteristic, complemented
190#2445C2211yescharacteristic, complemented
191#2444C2212yes—
192#2444C2212yes—
193#2443C2212yes—
194#2443C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yescomplemented
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2439C2212yescomplemented
204#2439C2212yescomplemented
205#2437C2214yes—
206#2437C2214yes—
207#2425C2214yescomplemented
208#2425C2214yescomplemented
209#2424C2214yes—
210#2424C2214yes—
211#2422C2212yes—
212#2422C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2419C2214yescomplemented
216#2418C2214yes—
217#2418C2214yes—
218#2418C2214yes—
219#2418C2214yes—
220#2417C2214yes—
221#2416C2212yes—
222#2416C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2412C2214yes—
226#2412C2214yes—
227#2402C2212yescomplemented
228#2402C2212yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231C2×#397C2212yes—
232C2×#397C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2365C2212yescomplemented
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2358C2214yes—
242#2358C2214yes—
243#2354C2212yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2351C2212yescomplemented
247#2351C2212yescomplemented
248#2349C2214yes—
249#2349C2214yes—
250#2349C2212yescomplemented
251#2349C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2335C2214yescomplemented
254#2332C2214yescomplemented
255#2328C2212yes—
256#2326C2212yes—
257#2325C2214yes—
258#2325C2214yescomplemented
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2212yescomplemented
264#2317C2212yescomplemented
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×#127C2212yes—
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#124C2212yes—
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#388C2212yes—
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2212yescomplemented
294C2×#382C2211yescharacteristic
295C2×#382C2212yescomplemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—44no—
303#535—28no—
304#535—44no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344#520—44no—
345#520—44no—
346#520—44no—
347#518—44no—
348C4×#41—28no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2312yes—
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#383C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#379C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#127—24no—
867#127—28no—
868#127—44no—
869#126—84no—
870#125—44no—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—84no—
875#124—24no—
876#124—28no—
877#124—24no—
878#124—44no—
879#123—48no—
880#123—44no—
881#123—44no—
882#123—84no—
883#123—84no—
884#123—84no—
885#123—84no—
886#123—84no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—48no—
896#121—44no—
897#121—44no—
898#121—84no—
899#120—216no—
900#120—48no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—84no—
924C4×D4—84no—
925#117—28no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—44no—
933#117—44no—
934#117—44no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—48no—
1019C2×C22⋊C4—82no—
1020C2×C22⋊C4—82no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—28no—
1079C2×C42—24no—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—82no—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
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×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
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#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—24no—
1185C24—24no—
1186C24—24no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24C2514yes—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195#41—232no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8C2×#4114yes—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—416no—
1241C2×D4C2×#4118yes—
1242C2×D4C2×#4114yes—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4C2×#4118yes—
1297C22×C4C2×#4114yes—
1298C22×C4H(5,𝔽2)14yes—
1299C22×C42−1+414yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
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—42no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—24no—
1500C23—22no—
1501C23—22no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—48no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23C22×#4114yes—
1519C23C22×#4112yes—
1520C23C2×H(5,𝔽2)12yes—
1521C23C2×2−1+412yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—44no—
1525Q8—164no—
1526D4—216no—
1527D4—28no—
1528D4—48no—
1529D4—48no—
1530D4—48no—
1531D4—48no—
1532D4—44no—
1533D4—84no—
1534D4—88no—
1535D4—88no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—216no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—82no—
1627C2×C4—84no—
1628C2×C4—82no—
1629C2×C4—82no—
1630C2×C4—84no—
1631C2×C4—82no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4—164no—
1638C2×C4—164no—
1639C2×C4—164no—
1640C2×C4#539116yes—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—24no—
1657C22—24no—
1658C22—24no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—44no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—44no—
1676C22—42no—
1677C22—168no—
1678C22C2×#53914yes—
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×2−1+411yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C22H(7,𝔽2)11yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—24no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—44no—
1704C4—42no—
1705C4—44no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4C2×#53914yes—
1716C4C2×#53914yes—
1717C2—24no—
1718C2—44no—
1719C2—82no—
1720C2—84no—
1721C2C22×#53911yescharacteristic
1722C2#6283111yescharacteristic
1723C2#6288111yescharacteristic
1724C2#6296111yescharacteristic
1725C2#6296111yescharacteristic
1726C2#6299411yescharacteristic
1727C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35533C2
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. #42925C2semidirect
3. #42897C2semidirect
4. #42830C2semidirect
5. #42742C2semidirect
6. #42612C2semidirect
7. #42465C2semidirect
8. #42450C2semidirect
9. #40812C2semidirect
10. #40732C2semidirect
11. #40141C2semidirect
12. #40128C2semidirect
13. #39938C2semidirect
14. #39915C2semidirect
15. #39524C2semidirect
16. #39219C2semidirect
17. #39145C2semidirect
18. #38939C2semidirect
19. #38504C2semidirect
20. #38140C2semidirect
21. #35620C2semidirect
22. #35575C2semidirect
23. #35541C2semidirect
25. #35531C2semidirect
26. #35529C2semidirect
27. #35267C2semidirect
28. #35254C2semidirect
29. #35159C2semidirect
30. #34948C2semidirect
31. C2×#2513C2semidirect
32. #34744C2semidirect
33. #34275C2semidirect
34. #34206C2semidirect
35. #34184C2semidirect
45. #2863C22semidirect
46. #2860C22semidirect
50. #2837C22semidirect
51. #2836C22semidirect
52. #2827C22semidirect
53. #2824C22semidirect
54. #2808C22semidirect
55. #2807C22semidirect
56. #2798C22semidirect
57. #2796C22semidirect
58. #2787C22semidirect
59. #2786C22semidirect
60. #2785C22semidirect
61. #2783C22semidirect
62. #2782C22semidirect
63. #2782C22semidirect
64. #2781C22semidirect
65. #2781C22semidirect
66. #2777C22semidirect
67. #2775C22semidirect
68. #2765C22semidirect
69. #2744C22semidirect
70. #2743C22semidirect
71. #2740C22semidirect
72. #2728C22semidirect
73. #2724C22semidirect
74. #2711C22semidirect
75. #2708C22semidirect
76. #2706C22semidirect
77. #2705C22semidirect
78. #2696C22semidirect
79. #2694C22semidirect
80. #2694C22semidirect
81. #2694C22semidirect
82. #2693C22semidirect
83. #2691C22semidirect
84. #2687C22semidirect
85. #2681C22semidirect
86. #2663C22semidirect
87. #2654C22semidirect
88. #2654C22semidirect
89. #2653C22semidirect
90. #2652C22semidirect
91. #2651C22semidirect
92. #2649C22semidirect
94. #2645C22semidirect
95. #2644C22semidirect
96. #2643C22semidirect
97. #2639C22semidirect
98. #2633C22semidirect
99. #2630C22semidirect
100. #2630C22semidirect
103. #2596C22semidirect
104. #2575C22semidirect
105. #2571C22semidirect
106. #2571C22semidirect
107. #2570C22semidirect
108. #2570C22semidirect
109. #2570C22semidirect
110. #2570C22semidirect
113. #2568C22semidirect
116. #2566C22semidirect
117. #2565C22semidirect
120. #2563C22semidirect
121. #2560C22semidirect
122. #2558C22semidirect
123. #2556C22semidirect
124. #2553C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
141. #2509C22semidirect
142. #2509C22semidirect
143. #2508C22semidirect
144. #2508C22semidirect
145. #2507C22semidirect
146. #2507C22semidirect
147. #2506C22semidirect
148. #2506C22semidirect
153. #2497C22semidirect
154. #2496C22semidirect
155. #2495C22semidirect
156. #2494C22semidirect
157. #2488C22semidirect
159. #2460C22semidirect
160. #2455C22semidirect
163. #2454C22semidirect
164. #2453C22semidirect
167. #2452C22semidirect
168. #2451C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2446C22semidirect
182. #2446C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
197. #2442C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
207. #2425C22semidirect
208. #2425C22semidirect
215. #2419C22semidirect
227. #2402C22semidirect
228. #2402C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2365C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2351C22semidirect
247. #2351C22semidirect
250. #2349C22semidirect
251. #2349C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2335C22semidirect
254. #2332C22semidirect
258. #2325C22semidirect
259. #2318C22semidirect
263. #2317C22semidirect
264. #2317C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
293. #2285C22semidirect
295. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#429492
#429252
#428972
#428302
#427422
#426122
#424652
#424502
#408122
#407322
#401412
#401282
#399382
#399152
#395242
#392192
#391452
#389392
#385042
#381402
#356202
#355752
#355412
#355332
#355312
#355292
#352672
#352542
#351592
#349482
C2×#25132
#347442
#342752
#342062
#341842