Finite Group Databasebeta

← #8097156

Subgroups — #8097156

Order 512.

5661 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53051C212yesmaximal, complemented
2#53045C212yesmaximal, complemented
3#53018C211yesmaximal, characteristic, complemented
4#53006C211yesmaximal, characteristic, complemented
5#52799C212yesmaximal, complemented
6#52347C214yesmaximal, complemented
7#52339C212yesmaximal, complemented
8#52339C214yesmaximal, complemented
9#52297C211yesmaximal, characteristic, complemented
10C2×#2795C212yesmaximal, complemented
11#46338C211yesmaximal, characteristic, complemented
12#46327C212yesmaximal, complemented
13#46038C214yesmaximal, complemented
14#46020C212yesmaximal, complemented
15#45721C212yesmaximal, complemented
16#45697C212yesmaximal, complemented
17#45616C212yesmaximal, complemented
18#45588C214yesmaximal, complemented
19#45588C214yesmaximal, complemented
20#45550C214yesmaximal, complemented
21#36240C212yesmaximal, complemented
22#36218C212yesmaximal, complemented
23#36218C212yesmaximal, complemented
24#36217C212yesmaximal, complemented
25#36179C211yesmaximal, characteristic, complemented
26#36067C211yesmaximal, characteristic, complemented
27#35821C212yesmaximal, complemented
28#35750C211yesmaximal, characteristic, complemented
29#35750C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#547C2212yes—
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic, complemented
34C2×#547C2212yescomplemented
35C2×#546C2212yes—
36C2×#546C2212yes—
37C2×#546C2212yes—
38C2×#520C2211yescharacteristic, complemented
39C2×C4×#41C2212yescomplemented
40#2868C2211yescharacteristic, complemented
41#2860C2212yescomplemented
42#2856C2212yescomplemented
43#2855C2212yescomplemented
44#2854C2214yescomplemented
45#2854C2214yescomplemented
46#2853C2214yescomplemented
47#2852C2214yescomplemented
48#2850C2212yescomplemented
49#2850C2212yescomplemented
50#2843C2212yescomplemented
51#2842C2212yescomplemented
52#2838C2214yescomplemented
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2212yescomplemented
62#2828C2214yescomplemented
63#2827C2214yescomplemented
64#2826C2212yescomplemented
65#2826C2214yescomplemented
66#2826C2214yescomplemented
67#2823C2212yescomplemented
68#2823C2214yescomplemented
69#2803C2212yescomplemented
70#2803C2214yescomplemented
71#2801C2214yescomplemented
72#2797C2214yescomplemented
73#2796C2214yescomplemented
74#2796C2214yescomplemented
75#2795C2212yescomplemented
76#2795C2212yescomplemented
77#2795C2211yescharacteristic, complemented
78#2795C2214yescomplemented
79#2795C2214yescomplemented
80#2795C2212yescomplemented
81#2795C2214yescomplemented
82#2795C2214yescomplemented
83#2795C2214yescomplemented
84#2795C2214yescomplemented
85#2795C2214yescomplemented
86#2795C2214yescomplemented
87#2795C2214yescomplemented
88#2792C2214yescomplemented
89#2792C2211yescharacteristic, complemented
90#2790C2214yescomplemented
91#2790C2214yescomplemented
92#2790C2214yescomplemented
93#2790C2214yescomplemented
94#2790C2214yescomplemented
95#2784C2211yescharacteristic, complemented
96#2780C2214yescomplemented
97#2756C2214yescomplemented
98#2756C2212yescomplemented
99#2752C2214yescomplemented
100#2752C2214yescomplemented
101#2752C2214yescomplemented
102#2749C2214yescomplemented
103#2746C2214yescomplemented
104#2746C2214yescomplemented
105#2742C2212yescomplemented
106#2737C2212yescomplemented
107#2735C2212yescomplemented
108#2735C2214yescomplemented
109#2735C2214yescomplemented
110#2714C2214yescomplemented
111#2714C2212yescomplemented
112#2714C2214yescomplemented
113#2705C2212yescomplemented
114#2699C2214yescomplemented
115#2699C2211yescharacteristic, complemented
116#2697C2214yescomplemented
117#2685C2214yescomplemented
118#2685C2214yescomplemented
119#2673C2212yescomplemented
120#2669C2212yescomplemented
121#2625C2211yescharacteristic, complemented
122#2623C2212yescomplemented
123#2620C2212yescomplemented
124#2618C2214yescomplemented
125#2616C2212yes—
126#2616C2211yescharacteristic
127#2613C2212yes—
128#2613C2214yes—
129#2545C2212yescomplemented
130#2545C2212yescomplemented
131#2545C2212yescomplemented
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2211yescharacteristic, complemented
135#2542C2212yescomplemented
136#2542C2212yescomplemented
137#2542C2211yescharacteristic, complemented
138#2538C2212yescomplemented
139#2536C2212yescomplemented
140#2536C2212yescomplemented
141#2534C2214yescomplemented
142#2534C2214yescomplemented
143#2534C2214yescomplemented
144#2513C2212yescomplemented
145#2513C2212yescomplemented
146#2512C2212yescomplemented
147#2510C2214yescomplemented
148#2510C2214yescomplemented
149#2503C2211yescharacteristic, complemented
150#2501C2212yescomplemented
151#2501C2214yescomplemented
152#2501C2212yescomplemented
153#2501C2214yescomplemented
154#2499C2212yescomplemented
155#2498C2212yescomplemented
156#2498C2214yescomplemented
157#2497C2212yescomplemented
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2487C2211yescharacteristic, complemented
161#2485C2212yescomplemented
162#2484C2214yescomplemented
163#2484C2212yescomplemented
164#2481C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2446C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2444C2214yescomplemented
172#2444C2214yescomplemented
173#2443C2214yescomplemented
174#2435C2212yes—
175#2435C2211yescharacteristic
176#2432C2212yes—
177#2432C2212yes—
178#2432C2212yes—
179#2430C2214yes—
180#2430C2212yes—
181#2429C2212yescomplemented
182#2429C2212yescomplemented
183#2429C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2425C2214yescomplemented
188#2425C2214yescomplemented
189#2425C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2423C2212yescomplemented
194#2421C2212yescomplemented
195#2421C2212yescomplemented
196#2419C2214yescomplemented
197#2419C2214yescomplemented
198#2419C2214yescomplemented
199#2417C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2214yescomplemented
202#2415C2212yescomplemented
203#2415C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2413C2214yescomplemented
207#2413C2214yescomplemented
208#2413C2214yescomplemented
209#2411C2214yescomplemented
210#2411C2214yescomplemented
211#2411C2214yescomplemented
212#2410C2214yes—
213#2410C2214yes—
214#2410C2214yes—
215#2408C2211yescharacteristic
216#2408C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2406C2212yes—
221#2406C2214yes—
222#2405C2214yes—
223#2405C2214yes—
224#2405C2214yes—
225#2395C2211yescharacteristic, complemented
226C2×#400C2212yescomplemented
227#2392C2212yescomplemented
228C2×#396C2214yescomplemented
229#2388C2211yescharacteristic
230#2388C2212yes—
231C2×#394C2214yes—
232C2×#394C2212yes—
233#2383C2214yescomplemented
234#2383C2214yescomplemented
235#2377C2214yescomplemented
236#2375C2212yescomplemented
237#2375C2214yescomplemented
238#2349C2212yescomplemented
239#2349C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2339C2211yescharacteristic
242#2339C2212yes—
243#2339C2212yescomplemented
244#2339C2211yescharacteristic, complemented
245D4×C22⋊C4C2212yes—
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248C4×#127C2211yescharacteristic, complemented
249C4×#126C2212yescomplemented
250C4×#123C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C2×#388C2214yescomplemented
254C2×#388C2214yescomplemented
255C2×#388C2214yescomplemented
256C2×#387C2214yescomplemented
257C2×#384C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2312yes—
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2311yescharacteristic
271#547—48no—
272#547—44no—
273#547—44no—
274#547—48no—
275#546—48no—
276#546—48no—
277#546—48no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#126C2312yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2312yes—
327C2×#120C2314yes—
328#520—44no—
329C4×#41—48no—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×#117C2311yescharacteristic
349C2×#117C2314yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C22×C4⋊C4C2314yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2314yes—
356C22×C4⋊C4C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C42C2312yes—
366C22×C42C2312yes—
367C22×C42C2314yes—
368#401C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2311yescharacteristic
379#400C2314yes—
380#400C2312yes—
381#399C2314yes—
382#399C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#399C2312yes—
389#399C2314yes—
390#399C2311yescharacteristic
391#398C2311yescharacteristic
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2311yescharacteristic
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2312yes—
445#395C2314yes—
446#395C2311yescharacteristic
447#395C2312yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2311yescharacteristic
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#393C2312yes—
491#393C2311yescharacteristic
492#392C2311yescharacteristic
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2314yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2314yes—
669#384C2314yes—
670#383C2312yes—
671#383C2314yes—
672#382C2312yes—
673#382C2312yes—
674#381C2314yes—
675#381C2312yes—
676#381C2314yes—
677#381C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C2×#95C2314yes—
717C2×#95C2312yes—
718C2×#95C2314yes—
719C2×#95C2312yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725H(5,𝔽2)—464no—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—24no—
733C2×#41—44no—
734C2×#41—42no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2411yescharacteristic
743C22×Q8C2411yescharacteristic
744C22×D4—28no—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—44no—
748C22×D4—42no—
749C22×D4—48no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2414yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C4⋊Q8—44no—
791C4⋊Q8—42no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794#127—42no—
795#126—48no—
796#126—44no—
797#126—48no—
798#124—44no—
799#124—44no—
800#124—44no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—44no—
809#123—48no—
810#123—44no—
811#123—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—42no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—42no—
821C22⋊Q8—44no—
822#121—44no—
823#121—44no—
824#121—48no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—44no—
833#121—48no—
834#121—44no—
835#120—48no—
836#120—44no—
837#120—48no—
838#120—48no—
839#120—48no—
840C4×Q8—44no—
841C4×Q8—44no—
842C4×Q8—44no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—28no—
847C4×D4—24no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—42no—
853C4×D4—44no—
854C4×D4—42no—
855C4×D4—48no—
856C4×D4—48no—
857C4×D4—48no—
858#117—42no—
859#117—48no—
860#117—44no—
861#117—44no—
862C2×C4⋊C4—48no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—48no—
866C2×C4⋊C4—48no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—48no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—48no—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C42—44no—
996C2×C42—44no—
997C2×C42—48no—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2411yescharacteristic
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—28no—
1066C24—28no—
1067C24—28no—
1068C24—44no—
1069C24—42no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—42no—
1075C24—44no—
1076C24—42no—
1077C24C2511yescharacteristic
1078C24C2512yes—
1079C24C2514yes—
1080C24C2512yes—
1081C24C2511yescharacteristic
1082C24C2512yes—
1083#41—432no—
1084#41—432no—
1085#41—416no—
1086#41—432no—
1087#41—416no—
1088#41—416no—
1089C2×Q8—24no—
1090C2×Q8—22no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—22no—
1096C2×Q8—42no—
1097C2×Q8—41no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—22no—
1115C2×D4—42no—
1116C2×D4—41no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—464no—
1152C2×D4—432no—
1153C2×D4—416no—
1154C2×D4—432no—
1155C2×D4H(5,𝔽2)18yes—
1156C2×D4H(5,𝔽2)14yes—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—24no—
1162C22×C4—28no—
1163C22×C4—24no—
1164C22×C4—28no—
1165C22×C4—24no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—28no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—41no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—41no—
1236C4⋊C4—42no—
1237C4⋊C4—41no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—41no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
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⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—42no—
1318C22⋊C4—41no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—42no—
1352C42—44no—
1353C42—42no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—41no—
1358C42—44no—
1359C23—22no—
1360C23—24no—
1361C23—22no—
1362C23—22no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—21no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—22no—
1379C23—22no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—21no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—48no—
1394C23—416no—
1395C23—88no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—164no—
1402C23—162no—
1403C23—162no—
1404C23—164no—
1405C23C2×H(5,𝔽2)18yes—
1406C23C2×H(5,𝔽2)14yes—
1407C23C2611yescharacteristic
1408Q8—44no—
1409Q8—48no—
1410Q8—44no—
1411Q8—44no—
1412D4—48no—
1413D4—44no—
1414D4—48no—
1415D4—416no—
1416D4—416no—
1417D4—48no—
1418D4—416no—
1419D4—48no—
1420D4—48no—
1421D4—84no—
1422D4—84no—
1423D4—82no—
1424D4—82no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—164no—
1429D4—164no—
1430D4—164no—
1431D4#560116yes—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—416no—
1492C2×C4—48no—
1493C2×C4—416no—
1494C2×C4—48no—
1495C2×C4—416no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—44no—
1499C2×C4—48no—
1500C2×C4—44no—
1501C2×C4—88no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—84no—
1505C2×C4—84no—
1506C2×C4—162no—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4#58512yes—
1510C2×C4#58514yes—
1511C22—28no—
1512C22—24no—
1513C22—24no—
1514C22—28no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—44no—
1521C22—42no—
1522C22—44no—
1523C22—41no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—44no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—1616no—
1547C22—168no—
1548C22C2×#56018yes—
1549C22C22×H(5,𝔽2)12yes—
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58512yes—
1553C222−1+611yescharacteristic
1554C4—24no—
1555C4—22no—
1556C4—44no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4—41no—
1561C4—42no—
1562C4—44no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—41no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4C2×#56014yes—
1577C2—28no—
1578C2—82no—
1579C2—81no—
1580C2—82no—
1581C2—81no—
1582C2—84no—
1583C2C22×#56011yescharacteristic
1584C2#6289811yescharacteristic
1585C2#6292112yes—
1586C2#6301812yes—
1587C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53051C2semidirect
2. #53045C2semidirect
3. #53018C2semidirect
4. #53006C2semidirect
5. #52799C2semidirect
6. #52347C2semidirect
7. #52339C2semidirect
8. #52339C2semidirect
9. #52297C2semidirect
10. C2×#2795C2semidirect
11. #46338C2semidirect
12. #46327C2semidirect
13. #46038C2semidirect
14. #46020C2semidirect
15. #45721C2semidirect
16. #45697C2semidirect
17. #45616C2semidirect
18. #45588C2semidirect
19. #45588C2semidirect
20. #45550C2semidirect
21. #36240C2semidirect
22. #36218C2semidirect
23. #36218C2semidirect
24. #36217C2semidirect
25. #36179C2semidirect
26. #36067C2semidirect
27. #35821C2semidirect
28. #35750C2semidirect
29. #35750C2semidirect
33. C2×#547C22semidirect
34. C2×#547C22semidirect
38. C2×#520C22semidirect
39. C2×C4×#41C22semidirect
40. #2868C22semidirect
41. #2860C22semidirect
42. #2856C22semidirect
43. #2855C22semidirect
44. #2854C22semidirect
45. #2854C22semidirect
46. #2853C22semidirect
47. #2852C22semidirect
48. #2850C22semidirect
49. #2850C22semidirect
50. #2843C22semidirect
51. #2842C22semidirect
52. #2838C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2827C22semidirect
64. #2826C22semidirect
65. #2826C22semidirect
66. #2826C22semidirect
67. #2823C22semidirect
68. #2823C22semidirect
69. #2803C22semidirect
70. #2803C22semidirect
71. #2801C22semidirect
72. #2797C22semidirect
73. #2796C22semidirect
74. #2796C22semidirect
75. #2795C22semidirect
76. #2795C22semidirect
77. #2795C22semidirect
78. #2795C22semidirect
79. #2795C22semidirect
80. #2795C22semidirect
81. #2795C22semidirect
82. #2795C22semidirect
83. #2795C22semidirect
84. #2795C22semidirect
85. #2795C22semidirect
86. #2795C22semidirect
87. #2795C22semidirect
88. #2792C22semidirect
89. #2792C22semidirect
90. #2790C22semidirect
91. #2790C22semidirect
92. #2790C22semidirect
93. #2790C22semidirect
94. #2790C22semidirect
95. #2784C22semidirect
96. #2780C22semidirect
97. #2756C22semidirect
98. #2756C22semidirect
99. #2752C22semidirect
100. #2752C22semidirect
101. #2752C22semidirect
102. #2749C22semidirect
103. #2746C22semidirect
104. #2746C22semidirect
105. #2742C22semidirect
106. #2737C22semidirect
107. #2735C22semidirect
108. #2735C22semidirect
109. #2735C22semidirect
110. #2714C22semidirect
111. #2714C22semidirect
112. #2714C22semidirect
113. #2705C22semidirect
114. #2699C22semidirect
115. #2699C22semidirect
116. #2697C22semidirect
117. #2685C22semidirect
118. #2685C22semidirect
119. #2673C22semidirect
120. #2669C22semidirect
121. #2625C22semidirect
122. #2623C22semidirect
123. #2620C22semidirect
124. #2618C22semidirect
129. #2545C22semidirect
130. #2545C22semidirect
131. #2545C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2538C22semidirect
139. #2536C22semidirect
140. #2536C22semidirect
141. #2534C22semidirect
142. #2534C22semidirect
143. #2534C22semidirect
144. #2513C22semidirect
145. #2513C22semidirect
146. #2512C22semidirect
147. #2510C22semidirect
148. #2510C22semidirect
149. #2503C22semidirect
150. #2501C22semidirect
151. #2501C22semidirect
152. #2501C22semidirect
153. #2501C22semidirect
154. #2499C22semidirect
155. #2498C22semidirect
156. #2498C22semidirect
157. #2497C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2487C22semidirect
161. #2485C22semidirect
162. #2484C22semidirect
163. #2484C22semidirect
164. #2481C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2446C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2444C22semidirect
172. #2444C22semidirect
173. #2443C22semidirect
181. #2429C22semidirect
182. #2429C22semidirect
183. #2429C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2425C22semidirect
188. #2425C22semidirect
189. #2425C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2423C22semidirect
194. #2421C22semidirect
195. #2421C22semidirect
196. #2419C22semidirect
197. #2419C22semidirect
198. #2419C22semidirect
199. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2415C22semidirect
203. #2415C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2413C22semidirect
207. #2413C22semidirect
208. #2413C22semidirect
209. #2411C22semidirect
210. #2411C22semidirect
211. #2411C22semidirect
225. #2395C22semidirect
226. C2×#400C22semidirect
227. #2392C22semidirect
228. C2×#396C22semidirect
233. #2383C22semidirect
234. #2383C22semidirect
235. #2377C22semidirect
236. #2375C22semidirect
237. #2375C22semidirect
238. #2349C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
243. #2339C22semidirect
244. #2339C22semidirect
248. C4×#127C22semidirect
249. C4×#126C22semidirect
250. C4×#123C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C2×#388C22semidirect
254. C2×#388C22semidirect
255. C2×#388C22semidirect
256. C2×#387C22semidirect
257. C2×#384C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#530512
#530452
#530182
#530062
#527992
#523472
#523392
#522972
C2×#27952
#463382
#463272
#460382
#460202
#457212
#456972
#456162
#455882
#455502
#362402
#362182
#362172
#361792
#360672
#358212
#357502