Finite Group Databasebeta

← #7650692

Subgroups — #7650692

Order 512.

5008 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42721C212yesmaximal, complemented
2#42630C212yesmaximal, complemented
3#42615C212yesmaximal, complemented
4#42580C212yesmaximal, complemented
5#42577C212yesmaximal, complemented
6#42567C212yesmaximal, complemented
7#42536C212yesmaximal, complemented
8#42531C212yesmaximal, complemented
9#40663C214yesmaximal, complemented
10#40659C214yesmaximal, complemented
11#40168C212yesmaximal, complemented
12#40144C212yesmaximal, complemented
13#40141C212yesmaximal, complemented
14#40057C212yesmaximal, complemented
15#39524C212yesmaximal, complemented
16#39025C212yesmaximal, complemented
17#39021C212yesmaximal, complemented
18#38996C212yesmaximal, complemented
19#38121C214yesmaximal, complemented
20#37890C214yesmaximal, complemented
21#35639C211yesmaximal, characteristic, complemented
22#35585C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35541C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35333C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic
30#34948C211yesmaximal, characteristic, complemented
31#34744C211yesmaximal, characteristic, complemented
32C2×#2454C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic, complemented
34#34269C211yesmaximal, characteristic, complemented
35#34248C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2847C2214yes—
50#2834C2214yescomplemented
51#2827C2214yescomplemented
52#2827C2214yescomplemented
53#2826C2214yescomplemented
54#2796C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yescomplemented
57#2786C2214yescomplemented
58#2782C2214yescomplemented
59#2770C2214yescomplemented
60#2757C2214yescomplemented
61#2750C2214yescomplemented
62#2750C2214yescomplemented
63#2747C2214yescomplemented
64#2747C2214yescomplemented
65#2746C2214yescomplemented
66#2746C2214yescomplemented
67#2746C2214yescomplemented
68#2744C2214yescomplemented
69#2743C2214yescomplemented
70#2740C2214yescomplemented
71#2739C2214yescomplemented
72#2738C2214yescomplemented
73#2738C2214yescomplemented
74#2711C2214yescomplemented
75#2708C2214yescomplemented
76#2707C2214yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2705C2214yescomplemented
80#2695C2214yescomplemented
81#2694C2214yescomplemented
82#2694C2214yescomplemented
83#2693C2214yescomplemented
84#2691C2214yescomplemented
85#2691C2214yescomplemented
86#2652C2214yescomplemented
87#2652C2214yescomplemented
88#2649C2214yescomplemented
89#2649C2214yescomplemented
90#2646C2214yescomplemented
91#2645C2212yescomplemented
92#2644C2212yescomplemented
93#2643C2214yescomplemented
94#2636C2214yescomplemented
95#2633C2214yescomplemented
96#2633C2214yescomplemented
97#2630C2214yescomplemented
98#2629C2212yescomplemented
99#2629C2212yescomplemented
100#2623C2214yescomplemented
101#2618C2214yescomplemented
102#2617C2214yes—
103#2579C2214yes—
104#2579C2214yes—
105#2579C2214yes—
106#2571C2211yescharacteristic, complemented
107#2571C2211yescharacteristic, complemented
108#2570C2211yescharacteristic, complemented
109#2570C2211yescharacteristic, complemented
110#2570C2211yescharacteristic, complemented
111#2570C2211yescharacteristic, complemented
112#2569C2214yes—
113#2569C2212yes—
114#2569C2212yes—
115#2566C2212yescomplemented
116#2566C2212yescomplemented
117#2565C2212yescomplemented
118#2565C2212yescomplemented
119#2552C2211yescharacteristic, complemented
120#2552C2211yescharacteristic, complemented
121#2547C2212yes—
122#2544C2212yes—
123#2544C2212yes—
124#2541C2212yes—
125#2537C2212yes—
126#2537C2212yes—
127#2535C2212yes—
128#2535C2212yes—
129#2517C2214yescomplemented
130#2514C2212yescomplemented
131#2513C2212yescomplemented
132#2512C2212yescomplemented
133#2511C2212yescomplemented
134#2510C2214yes—
135#2510C2214yes—
136#2509C2212yescomplemented
137#2509C2212yescomplemented
138#2508C2212yescomplemented
139#2508C2212yescomplemented
140#2507C2212yescomplemented
141#2507C2212yescomplemented
142#2506C2212yescomplemented
143#2506C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2496C2212yescomplemented
147#2496C2212yescomplemented
148#2495C2212yescomplemented
149#2495C2212yescomplemented
150#2494C2212yescomplemented
151#2494C2212yescomplemented
152#2493C2214yescomplemented
153#2487C2214yes—
154#2487C2212yescomplemented
155#2486C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2481C2214yes—
159#2481C2214yes—
160#2481C2214yescomplemented
161#2481C2214yescomplemented
162#2473C2214yescomplemented
163#2466C2214yescomplemented
164#2460C2214yescomplemented
165#2455C2214yescomplemented
166#2454C2212yes—
167#2454C2212yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2453C2212yescomplemented
178#2448C2212yescomplemented
179#2448C2211yescharacteristic, complemented
180#2448C2211yescharacteristic, complemented
181#2447C2212yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2211yescharacteristic, complemented
186#2447C2212yescomplemented
187#2447C2211yescharacteristic, complemented
188#2446C2211yescharacteristic, complemented
189#2446C2212yescomplemented
190#2446C2211yescharacteristic, complemented
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2211yescharacteristic, complemented
196#2445C2212yescomplemented
197#2445C2211yescharacteristic, complemented
198#2444C2212yes—
199#2444C2214yes—
200#2444C2212yes—
201#2443C2212yes—
202#2443C2212yes—
203#2443C2214yes—
204#2443C2214yescomplemented
205#2442C2214yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yescomplemented
209#2442C2212yescomplemented
210#2441C2212yescomplemented
211#2441C2212yescomplemented
212#2425C2214yescomplemented
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2420C2212yes—
218#2420C2212yes—
219#2420C2212yes—
220#2420C2212yes—
221#2419C2214yescomplemented
222#2419C2214yescomplemented
223#2412C2214yes—
224#2412C2214yes—
225#2412C2214yes—
226#2412C2214yes—
227#2402C2212yescomplemented
228#2402C2212yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231C2×#399C2212yes—
232C2×#396C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2212yes—
236#2366C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2358C2214yes—
242#2358C2214yes—
243#2358C2214yes—
244#2358C2214yes—
245#2349C2212yes—
246#2349C2212yes—
247#2349C2212yes—
248#2349C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253#2328C2212yes—
254#2326C2212yes—
255#2325C2214yescomplemented
256#2324C2212yes—
257#2324C2212yes—
258#2322C2214yescomplemented
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2315C2214yes—
266#2313C2214yescomplemented
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×#127C2212yes—
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#124C2212yes—
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#385C2214yes—
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#380C2212yes—
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#535—28no—
304#535—28no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125—44no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341#520—44no—
342#518—28no—
343#518—44no—
344C4×#41—44no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×D4—44no—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404#401C2314yes—
405#401C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#392C2314yes—
515#392C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#383C2314yes—
720#383C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×D4—24no—
829C22×D4—24no—
830C22×D4#4118yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C23×C4—44no—
844C23×C4—44no—
845C23×C4—82no—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C4⋊Q8—42no—
868#127—28no—
869#127—28no—
870#127—42no—
871#126—84no—
872#126—84no—
873#125—44no—
874#125—44no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—84no—
880#124—28no—
881#124—28no—
882#124—42no—
883#124—42no—
884#123—48no—
885#123—44no—
886#123—44no—
887#123—84no—
888#123—84no—
889#123—84no—
890#123—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—216no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—84no—
926C4×D4—84no—
927C4×D4—84no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—44no—
935#117—44no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—84no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—82no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C42—24no—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
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#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
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#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24—24no—
1187C24—24no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24C2×#4118yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197#41—416no—
1198#41—416no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—232no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4C2×#4118yes—
1241C2×D4C2×#4118yes—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—28no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—816no—
1303C22×C4C2×#4114yes—
1304C22×C4H(5,𝔽2)14yes—
1305C22×C42−1+414yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—41no—
1364C4⋊C4—44no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
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—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—42no—
1489C42—42no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—24no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—216no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—48no—
1516C23—48no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—84no—
1521C23C22×#4118yes—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2×2−1+412yes—
1525C23C2611yescharacteristic
1526Q8—44no—
1527Q8—44no—
1528D4—216no—
1529D4—216no—
1530D4—48no—
1531D4—48no—
1532D4—44no—
1533D4—44no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—84no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—82no—
1634C2×C4—84no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—88no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4—164no—
1645C2×C4#539116yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×2−1+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—28no—
1661C22—28no—
1662C22—28no—
1663C22—44no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—816no—
1682C22C2×#53914yes—
1683C22C23×#4111yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C22×2−1+411yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22H(7,𝔽2)11yescharacteristic
1689C22H(7,𝔽2)11yescharacteristic
1690C4—22no—
1691C4—22no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—44no—
1704C4—44no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—44no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4C2×#53914yes—
1720C4C2×#53914yes—
1721C2—24no—
1722C2—48no—
1723C2—82no—
1724C2—82no—
1725C2C22×#53911yescharacteristic
1726C2#6283111yescharacteristic
1727C2#6288111yescharacteristic
1728C2#6292411yescharacteristic
1729C2#6295511yescharacteristic
1730C2#6299211yescharacteristic
1731C2#6299211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35165C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42721C2semidirect
2. #42630C2semidirect
3. #42615C2semidirect
4. #42580C2semidirect
5. #42577C2semidirect
6. #42567C2semidirect
7. #42536C2semidirect
8. #42531C2semidirect
9. #40663C2semidirect
10. #40659C2semidirect
11. #40168C2semidirect
12. #40144C2semidirect
13. #40141C2semidirect
14. #40057C2semidirect
15. #39524C2semidirect
16. #39025C2semidirect
17. #39021C2semidirect
18. #38996C2semidirect
19. #38121C2semidirect
20. #37890C2semidirect
21. #35639C2semidirect
22. #35585C2semidirect
23. #35545C2semidirect
24. #35541C2semidirect
25. #35541C2semidirect
26. #35517C2semidirect
27. #35333C2semidirect
28. #35267C2semidirect
30. #34948C2semidirect
31. #34744C2semidirect
32. C2×#2454C2semidirect
33. #34275C2semidirect
34. #34269C2semidirect
35. #34248C2semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2834C22semidirect
51. #2827C22semidirect
52. #2827C22semidirect
53. #2826C22semidirect
54. #2796C22semidirect
55. #2787C22semidirect
56. #2786C22semidirect
57. #2786C22semidirect
58. #2782C22semidirect
59. #2770C22semidirect
60. #2757C22semidirect
61. #2750C22semidirect
62. #2750C22semidirect
63. #2747C22semidirect
64. #2747C22semidirect
65. #2746C22semidirect
66. #2746C22semidirect
67. #2746C22semidirect
68. #2744C22semidirect
69. #2743C22semidirect
70. #2740C22semidirect
71. #2739C22semidirect
72. #2738C22semidirect
73. #2738C22semidirect
74. #2711C22semidirect
75. #2708C22semidirect
76. #2707C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2705C22semidirect
80. #2695C22semidirect
81. #2694C22semidirect
82. #2694C22semidirect
83. #2693C22semidirect
84. #2691C22semidirect
85. #2691C22semidirect
86. #2652C22semidirect
87. #2652C22semidirect
88. #2649C22semidirect
89. #2649C22semidirect
90. #2646C22semidirect
91. #2645C22semidirect
92. #2644C22semidirect
93. #2643C22semidirect
94. #2636C22semidirect
95. #2633C22semidirect
96. #2633C22semidirect
97. #2630C22semidirect
98. #2629C22semidirect
99. #2629C22semidirect
100. #2623C22semidirect
101. #2618C22semidirect
106. #2571C22semidirect
107. #2571C22semidirect
108. #2570C22semidirect
109. #2570C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
115. #2566C22semidirect
116. #2566C22semidirect
117. #2565C22semidirect
118. #2565C22semidirect
119. #2552C22semidirect
120. #2552C22semidirect
129. #2517C22semidirect
130. #2514C22semidirect
131. #2513C22semidirect
132. #2512C22semidirect
133. #2511C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2508C22semidirect
139. #2508C22semidirect
140. #2507C22semidirect
141. #2507C22semidirect
142. #2506C22semidirect
143. #2506C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2496C22semidirect
147. #2496C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2493C22semidirect
154. #2487C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
160. #2481C22semidirect
161. #2481C22semidirect
162. #2473C22semidirect
163. #2466C22semidirect
164. #2460C22semidirect
165. #2455C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2447C22semidirect
188. #2446C22semidirect
189. #2446C22semidirect
190. #2446C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
204. #2443C22semidirect
208. #2442C22semidirect
209. #2442C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
212. #2425C22semidirect
221. #2419C22semidirect
222. #2419C22semidirect
227. #2402C22semidirect
228. #2402C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
255. #2325C22semidirect
258. #2322C22semidirect
259. #2318C22semidirect
266. #2313C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
#427212
#426302
#426152
#425802
#425772
#425672
#425362
#425312
#406632
#406592
#401682
#401442
#401412
#400572
#395242
#390252
#390212
#389962
#381212
#378902
#356392
#355852
#355452
#355412
#355172
#353332
#352672
#351652
#349482
#347442
C2×#24542
#342752
#342692
#342482