Finite Group Databasebeta

← #8097278

Subgroups — #8097278

Order 512.

6063 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53144C212yesmaximal, complemented
2#53080C211yesmaximal, characteristic, complemented
3#53074C212yesmaximal, complemented
4#53032C211yesmaximal, characteristic, complemented
5#52753C212yesmaximal, complemented
6#52753C214yesmaximal, complemented
7#52530C214yesmaximal, complemented
8#52410C212yesmaximal, complemented
9#52301C211yesmaximal, characteristic, complemented
10C2×#2782C212yesmaximal, complemented
11#46084C211yesmaximal, characteristic, complemented
12#46043C212yesmaximal, complemented
13#46031C214yesmaximal, complemented
14#45991C212yesmaximal, complemented
15#45667C212yesmaximal, complemented
16#45601C212yesmaximal, complemented
17#45568C214yesmaximal, complemented
18#45539C214yesmaximal, complemented
19#45539C214yesmaximal, complemented
20#45509C212yesmaximal, complemented
21#36238C212yesmaximal, complemented
22#36213C212yesmaximal, complemented
23#36213C212yesmaximal, complemented
24#36212C212yesmaximal, complemented
25#36164C211yesmaximal, characteristic, complemented
26#36042C212yesmaximal, complemented
27#36042C211yesmaximal, characteristic, complemented
28#35903C211yesmaximal, characteristic, complemented
29#35847C212yesmaximal, complemented
30C23×#41C2212yescomplemented
31C2×#554C2212yescomplemented
32C2×#554C2211yescharacteristic, complemented
33C2×#547C2211yescharacteristic
34C2×#547C2211yescharacteristic
35C2×#547C2212yes—
36C2×#546C2212yes—
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39#2862C2211yescharacteristic, complemented
40#2861C2212yescomplemented
41#2850C2212yescomplemented
42#2850C2214yescomplemented
43#2849C2214yescomplemented
44#2849C2214yescomplemented
45#2849C2214yescomplemented
46#2848C2212yescomplemented
47#2848C2212yescomplemented
48#2847C2212yescomplemented
49#2844C2212yescomplemented
50#2844C2212yescomplemented
51#2835C2214yescomplemented
52#2835C2214yescomplemented
53#2835C2214yescomplemented
54#2832C2214yescomplemented
55#2832C2214yescomplemented
56#2832C2214yescomplemented
57#2828C2212yescomplemented
58#2828C2214yescomplemented
59#2828C2212yescomplemented
60#2828C2214yescomplemented
61#2824C2214yescomplemented
62#2824C2214yescomplemented
63#2824C2214yescomplemented
64#2824C2214yescomplemented
65#2824C2214yescomplemented
66#2819C2212yescomplemented
67#2812C2214yescomplemented
68#2804C2214yescomplemented
69#2804C2211yescharacteristic, complemented
70#2804C2214yescomplemented
71#2804C2212yescomplemented
72#2804C2212yescomplemented
73#2785C2214yescomplemented
74#2782C2212yes—
75#2782C2214yes—
76#2782C2212yes—
77#2782C2211yescharacteristic
78#2782C2212yescomplemented
79#2782C2212yescomplemented
80#2782C2214yescomplemented
81#2782C2212yescomplemented
82#2782C2214yescomplemented
83#2782C2214yescomplemented
84#2782C2214yescomplemented
85#2782C2214yescomplemented
86#2782C2214yescomplemented
87#2782C2211yescharacteristic, complemented
88#2782C2212yescomplemented
89#2782C2214yescomplemented
90#2782C2214yescomplemented
91#2782C2214yescomplemented
92#2763C2214yescomplemented
93#2763C2214yescomplemented
94#2763C2214yescomplemented
95#2763C2214yescomplemented
96#2763C2214yescomplemented
97#2763C2214yescomplemented
98#2753C2214yescomplemented
99#2753C2214yescomplemented
100#2753C2214yescomplemented
101#2753C2214yescomplemented
102#2753C2214yescomplemented
103#2753C2214yescomplemented
104#2753C2214yescomplemented
105#2753C2214yescomplemented
106#2753C2214yescomplemented
107#2753C2214yescomplemented
108#2736C2214yescomplemented
109#2733C2212yescomplemented
110#2712C2214yescomplemented
111#2712C2214yescomplemented
112#2712C2214yescomplemented
113#2684C2212yes—
114#2684C2214yes—
115#2684C2214yescomplemented
116#2684C2212yescomplemented
117#2684C2212yescomplemented
118#2679C2211yescharacteristic
119#2670C2214yescomplemented
120#2642C2212yescomplemented
121#2642C2211yescharacteristic, complemented
122#2641C2211yescharacteristic, complemented
123#2640C2212yescomplemented
124#2639C2214yescomplemented
125#2639C2212yescomplemented
126#2639C2214yescomplemented
127#2639C2212yescomplemented
128#2592C2212yescomplemented
129#2592C2212yescomplemented
130#2591C2214yescomplemented
131#2591C2212yescomplemented
132#2591C2214yescomplemented
133#2591C2212yescomplemented
134#2568C2211yescharacteristic, complemented
135#2568C2211yescharacteristic, complemented
136#2568C2212yescomplemented
137#2563C2211yescharacteristic, complemented
138#2562C2211yescharacteristic
139#2562C2212yescomplemented
140#2562C2212yescomplemented
141#2562C2211yescharacteristic, complemented
142#2561C2214yescomplemented
143#2561C2214yescomplemented
144#2548C2211yescharacteristic, complemented
145#2547C2212yescomplemented
146#2504C2214yescomplemented
147#2504C2212yescomplemented
148#2503C2212yescomplemented
149#2503C2212yescomplemented
150#2503C2214yescomplemented
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2490C2212yescomplemented
161#2489C2212yescomplemented
162#2489C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2489C2212yescomplemented
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2488C2214yescomplemented
170#2488C2214yescomplemented
171#2488C2214yescomplemented
172#2488C2214yescomplemented
173#2488C2214yescomplemented
174#2488C2214yescomplemented
175#2488C2214yescomplemented
176#2488C2214yescomplemented
177#2488C2214yescomplemented
178#2488C2214yescomplemented
179#2488C2214yescomplemented
180#2488C2214yescomplemented
181#2472C2214yescomplemented
182#2472C2214yescomplemented
183#2472C2214yescomplemented
184#2472C2214yescomplemented
185#2472C2214yescomplemented
186#2472C2214yescomplemented
187#2436C2212yescomplemented
188#2435C2212yes—
189#2434C2212yescomplemented
190#2434C2212yescomplemented
191#2432C2212yescomplemented
192#2432C2212yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2431C2212yescomplemented
196#2431C2212yescomplemented
197#2430C2214yescomplemented
198#2430C2214yescomplemented
199#2430C2214yescomplemented
200#2430C2214yescomplemented
201#2430C2214yescomplemented
202#2430C2214yescomplemented
203#2410C2214yescomplemented
204#2410C2214yescomplemented
205#2410C2214yescomplemented
206#2409C2212yes—
207#2409C2212yescomplemented
208#2409C2212yescomplemented
209#2407C2212yes—
210#2407C2212yes—
211#2407C2212yescomplemented
212#2407C2212yescomplemented
213#2407C2212yescomplemented
214#2407C2212yescomplemented
215#2406C2214yescomplemented
216#2406C2214yescomplemented
217#2406C2214yescomplemented
218#2406C2214yescomplemented
219#2405C2214yescomplemented
220#2405C2214yescomplemented
221#2404C2214yes—
222#2404C2214yes—
223#2403C2214yes—
224#2398C2211yescharacteristic
225#2398C2212yescomplemented
226#2398C2212yescomplemented
227#2398C2211yescharacteristic, complemented
228C2×#400C2212yescomplemented
229C2×#400C2214yescomplemented
230C2×#397C2214yescomplemented
231C2×#394C2212yes—
232#2379C2214yescomplemented
233#2379C2212yescomplemented
234#2379C2214yescomplemented
235#2379C2214yescomplemented
236#2375C2214yescomplemented
237#2339C2212yescomplemented
238#2339C2212yescomplemented
239#2339C2212yescomplemented
240#2339C2212yescomplemented
241#2339C2212yescomplemented
242#2339C2212yescomplemented
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246C4×#124C2211yescharacteristic, complemented
247C4×#124C2212yescomplemented
248C4×#120C2212yes—
249C4×#120C2212yescomplemented
250C4×#120C2212yescomplemented
251C2×#388C2214yescomplemented
252C2×#386C2214yes—
253C2×#385C2214yescomplemented
254C2×#385C2214yescomplemented
255C2×#382C2212yescomplemented
256#2275C2211yescharacteristic, complemented
257#2275C2211yescharacteristic, complemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41—48no—
260C22×#41—48no—
261C22×#41—48no—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2314yes—
265C22×#41C2314yes—
266C22×#41C2312yes—
267C22×#41C2312yes—
268C23×Q8C2312yes—
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2312yes—
272C24×C4C2312yes—
273C24×C4C2314yes—
274#554—44no—
275#554—48no—
276#547—44no—
277#547—44no—
278#547—48no—
279#546—48no—
280#546—48no—
281D42—44no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2312yes—
287C2×#127C2311yescharacteristic
288C2×#125C2311yescharacteristic
289C2×#125C2312yes—
290C2×#125C2311yescharacteristic
291C2×#125C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2311yescharacteristic
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333C2×#120C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2314yes—
352C22×C4⋊C4C2312yes—
353C22×C22⋊C4C2314yes—
354C22×C22⋊C4C2314yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2314yes—
358C22×C42C2312yes—
359#400C2312yes—
360#400C2314yes—
361#400C2312yes—
362#400C2314yes—
363#400C2312yes—
364#400C2314yes—
365#400C2312yes—
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2311yescharacteristic
387#400C2311yescharacteristic
388#400C2312yes—
389#400C2311yescharacteristic
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2311yescharacteristic
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2312yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#394C2312yes—
428#394C2314yes—
429#394C2312yes—
430#394C2314yes—
431#394C2311yescharacteristic
432#394C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2312yes—
436#394C2312yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2311yescharacteristic
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2311yescharacteristic
461#394C2314yes—
462#394C2311yescharacteristic
463#394C2312yes—
464#393C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2312yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#386C2312yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2312yes—
595#386C2312yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2312yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2314yes—
656#382C2314yes—
657#382C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2314yes—
661#382C2314yes—
662#382C2314yes—
663#382C2314yes—
664#382C2312yes—
665#382C2314yes—
666#382C2314yes—
667#382C2311yescharacteristic
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2312yes—
689#379C2312yes—
690#379C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2311yescharacteristic
713#376C2311yescharacteristic
714C2×#95C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—48no—
732C2×#41—48no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—48no—
736C2×#41—48no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—4128no—
744C22×Q8—44no—
745C22×Q8—44no—
746C22×Q8—44no—
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×Q8C2414yes—
754C22×D4—28no—
755C22×D4—28no—
756C22×D4—28no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2411yescharacteristic
780C23×C4—44no—
781C23×C4—44no—
782C23×C4—44no—
783C23×C4—48no—
784C23×C4—48no—
785C23×C4—48no—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C4⋊Q8—44no—
804C4⋊Q8—42no—
805C4⋊Q8—42no—
806C4⋊Q8—44no—
807C4⋊Q8—42no—
808#127—42no—
809#125—44no—
810#125—42no—
811#125—42no—
812#125—44no—
813#124—48no—
814#124—42no—
815#124—44no—
816#124—44no—
817#124—44no—
818#124—48no—
819#124—48no—
820#124—44no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—48no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—48no—
847#121—44no—
848#120—44no—
849#120—44no—
850#120—48no—
851#120—48no—
852#120—48no—
853#120—48no—
854#120—44no—
855C4×Q8—44no—
856C4×Q8—42no—
857C4×D4—24no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—24no—
861C4×D4—28no—
862C4×D4—24no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—42no—
868C4×D4—42no—
869C2×C4⋊C4—44no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4—48no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—48no—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—48no—
917C2×C22⋊C4—48no—
918C2×C22⋊C4—48no—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C42—44no—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2414yes—
1002#95C2411yescharacteristic
1003#95C2411yescharacteristic
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
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—28no—
1069C24—24no—
1070C24—44no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—44no—
1075C24—44no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2514yes—
1082C24C2512yes—
1083C24C2512yes—
1084#41—464no—
1085#41—464no—
1086#41—432no—
1087#41—432no—
1088#41—432no—
1089#41—432no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—22no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×Q8—44no—
1100C2×Q8—41no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—41no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—432no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—22no—
1128C2×D4—41no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—464no—
1160C2×D4—432no—
1161C2×D4—816no—
1162C2×D4H(5,𝔽2)14yes—
1163C2×D4H(5,𝔽2)18yes—
1164C22×C4—28no—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—28no—
1169C22×C4—28no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—28no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—464no—
1214C22×C4—432no—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C22⋊C4—24no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
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—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—44no—
1355C42—41no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—42no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—24no—
1380C23—22no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—22no—
1391C23—416no—
1392C23—416no—
1393C23—416no—
1394C23—48no—
1395C23—416no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—84no—
1400C23—84no—
1401C23—84no—
1402C23—84no—
1403C23—84no—
1404C23—84no—
1405C23C2×H(5,𝔽2)14yes—
1406C23C2×H(5,𝔽2)18yes—
1407C23#58514yes—
1408C23C2611yescharacteristic
1409Q8—416no—
1410Q8—48no—
1411Q8—48no—
1412Q8—82no—
1413Q8—84no—
1414Q8—162no—
1415Q8—164no—
1416D4—44no—
1417D4—416no—
1418D4—416no—
1419D4—416no—
1420D4—416no—
1421D4—416no—
1422D4—48no—
1423D4—82no—
1424D4—84no—
1425D4—84no—
1426D4—88no—
1427D4—82no—
1428D4—84no—
1429D4—84no—
1430D4—164no—
1431D4—164no—
1432D4—162no—
1433D4H(3,𝔽4)116yes—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—416no—
1500C2×C4—48no—
1501C2×C4—48no—
1502C2×C4—416no—
1503C2×C4—416no—
1504C2×C4—416no—
1505C2×C4—416no—
1506C2×C4—48no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—84no—
1510C2×C4—88no—
1511C2×C4—88no—
1512C2×C4—88no—
1513C2×C4—84no—
1514C2×C4C2×H(5,𝔽2)12yes—
1515C2×C4C2×H(5,𝔽2)14yes—
1516C2×C4#58512yes—
1517C22—24no—
1518C22—28no—
1519C22—24no—
1520C22—28no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—44no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—44no—
1541C22—44no—
1542C22—44no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—42no—
1548C22—42no—
1549C22—832no—
1550C22—816no—
1551C22C2×H(3,𝔽4)18yes—
1552C22C22×H(5,𝔽2)11yescharacteristic
1553C22C22×H(5,𝔽2)12yes—
1554C22C2×#58512yes—
1555C22C2×#58511yescharacteristic
1556C222−1+611yescharacteristic
1557C4—22no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—44no—
1571C4—42no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—44no—
1580C4C2×H(3,𝔽4)14yes—
1581C2—28no—
1582C2—44no—
1583C2—84no—
1584C2—82no—
1585C2—82no—
1586C2C22×H(3,𝔽4)11yescharacteristic
1587C2#6289811yescharacteristic
1588C2#6289812yes—
1589C2#6301711yescharacteristic
1590C2#6301812yes—
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. #53144C2semidirect
2. #53080C2semidirect
3. #53074C2semidirect
4. #53032C2semidirect
5. #52753C2semidirect
6. #52753C2semidirect
7. #52530C2semidirect
8. #52410C2semidirect
9. #52301C2semidirect
10. C2×#2782C2semidirect
11. #46084C2semidirect
12. #46043C2semidirect
13. #46031C2semidirect
14. #45991C2semidirect
15. #45667C2semidirect
16. #45601C2semidirect
17. #45568C2semidirect
18. #45539C2semidirect
19. #45539C2semidirect
20. #45509C2semidirect
21. #36238C2semidirect
22. #36213C2semidirect
23. #36213C2semidirect
24. #36212C2semidirect
25. #36164C2semidirect
26. #36042C2semidirect
27. #36042C2semidirect
28. #35903C2semidirect
29. #35847C2semidirect
30. C23×#41C22semidirect
31. C2×#554C22semidirect
32. C2×#554C22semidirect
39. #2862C22semidirect
40. #2861C22semidirect
41. #2850C22semidirect
42. #2850C22semidirect
43. #2849C22semidirect
44. #2849C22semidirect
45. #2849C22semidirect
46. #2848C22semidirect
47. #2848C22semidirect
48. #2847C22semidirect
49. #2844C22semidirect
50. #2844C22semidirect
51. #2835C22semidirect
52. #2835C22semidirect
53. #2835C22semidirect
54. #2832C22semidirect
55. #2832C22semidirect
56. #2832C22semidirect
57. #2828C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2824C22semidirect
62. #2824C22semidirect
63. #2824C22semidirect
64. #2824C22semidirect
65. #2824C22semidirect
66. #2819C22semidirect
67. #2812C22semidirect
68. #2804C22semidirect
69. #2804C22semidirect
70. #2804C22semidirect
71. #2804C22semidirect
72. #2804C22semidirect
73. #2785C22semidirect
78. #2782C22semidirect
79. #2782C22semidirect
80. #2782C22semidirect
81. #2782C22semidirect
82. #2782C22semidirect
83. #2782C22semidirect
84. #2782C22semidirect
85. #2782C22semidirect
86. #2782C22semidirect
87. #2782C22semidirect
88. #2782C22semidirect
89. #2782C22semidirect
90. #2782C22semidirect
91. #2782C22semidirect
92. #2763C22semidirect
93. #2763C22semidirect
94. #2763C22semidirect
95. #2763C22semidirect
96. #2763C22semidirect
97. #2763C22semidirect
98. #2753C22semidirect
99. #2753C22semidirect
100. #2753C22semidirect
101. #2753C22semidirect
102. #2753C22semidirect
103. #2753C22semidirect
104. #2753C22semidirect
105. #2753C22semidirect
106. #2753C22semidirect
107. #2753C22semidirect
108. #2736C22semidirect
109. #2733C22semidirect
110. #2712C22semidirect
111. #2712C22semidirect
112. #2712C22semidirect
115. #2684C22semidirect
116. #2684C22semidirect
117. #2684C22semidirect
119. #2670C22semidirect
120. #2642C22semidirect
121. #2642C22semidirect
122. #2641C22semidirect
123. #2640C22semidirect
124. #2639C22semidirect
125. #2639C22semidirect
126. #2639C22semidirect
127. #2639C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2591C22semidirect
131. #2591C22semidirect
132. #2591C22semidirect
133. #2591C22semidirect
134. #2568C22semidirect
135. #2568C22semidirect
136. #2568C22semidirect
137. #2563C22semidirect
139. #2562C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2561C22semidirect
143. #2561C22semidirect
144. #2548C22semidirect
145. #2547C22semidirect
146. #2504C22semidirect
147. #2504C22semidirect
148. #2503C22semidirect
149. #2503C22semidirect
150. #2503C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
161. #2489C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2489C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
169. #2488C22semidirect
170. #2488C22semidirect
171. #2488C22semidirect
172. #2488C22semidirect
173. #2488C22semidirect
174. #2488C22semidirect
175. #2488C22semidirect
176. #2488C22semidirect
177. #2488C22semidirect
178. #2488C22semidirect
179. #2488C22semidirect
180. #2488C22semidirect
181. #2472C22semidirect
182. #2472C22semidirect
183. #2472C22semidirect
184. #2472C22semidirect
185. #2472C22semidirect
186. #2472C22semidirect
187. #2436C22semidirect
189. #2434C22semidirect
190. #2434C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2430C22semidirect
198. #2430C22semidirect
199. #2430C22semidirect
200. #2430C22semidirect
201. #2430C22semidirect
202. #2430C22semidirect
203. #2410C22semidirect
204. #2410C22semidirect
205. #2410C22semidirect
207. #2409C22semidirect
208. #2409C22semidirect
211. #2407C22semidirect
212. #2407C22semidirect
213. #2407C22semidirect
214. #2407C22semidirect
215. #2406C22semidirect
216. #2406C22semidirect
217. #2406C22semidirect
218. #2406C22semidirect
219. #2405C22semidirect
220. #2405C22semidirect
225. #2398C22semidirect
226. #2398C22semidirect
227. #2398C22semidirect
228. C2×#400C22semidirect
229. C2×#400C22semidirect
230. C2×#397C22semidirect
232. #2379C22semidirect
233. #2379C22semidirect
234. #2379C22semidirect
235. #2379C22semidirect
236. #2375C22semidirect
237. #2339C22semidirect
238. #2339C22semidirect
239. #2339C22semidirect
240. #2339C22semidirect
241. #2339C22semidirect
242. #2339C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. D4×C22⋊C4C22semidirect
246. C4×#124C22semidirect
247. C4×#124C22semidirect
249. C4×#120C22semidirect
250. C4×#120C22semidirect
251. C2×#388C22semidirect
253. C2×#385C22semidirect
254. C2×#385C22semidirect
255. C2×#382C22semidirect
256. #2275C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#531442
#530802
#530742
#530322
#527532
#525302
#524102
#523012
C2×#27822
#460842
#460432
#460312
#459912
#456672
#456012
#455682
#455392
#455092
#362382
#362132
#362122
#361642
#360422
#359032
#358472