Finite Group Databasebeta

← #7895404

Subgroups — #7895404

Order 512.

5531 conjugacy classes of subgroups.

The subgroup lattice has 1609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59808C212yesmaximal, complemented
3#52160C211yesmaximal, characteristic, complemented
4#50848C214yesmaximal, complemented
5#48796C214yesmaximal, complemented
6#48218C214yesmaximal, complemented
7#46945C214yesmaximal, complemented
8#45806C212yesmaximal, complemented
9#45356C212yesmaximal, complemented
10#45049C212yesmaximal, complemented
11#44996C212yesmaximal, complemented
12#43105C214yesmaximal, complemented
13#42677C212yesmaximal, complemented
14#42593C212yesmaximal, complemented
15#42071C214yesmaximal, complemented
16#40223C212yesmaximal, complemented
17#39765C211yesmaximal, characteristic, complemented
18#39486C212yesmaximal, complemented
19#39381C211yesmaximal, characteristic, complemented
20#39268C212yesmaximal, complemented
21#38464C212yesmaximal, complemented
22#38024C212yesmaximal, complemented
23#37315C212yesmaximal, complemented
24#36260C211yesmaximal, characteristic, complemented
25#35697C212yesmaximal, complemented
26#35569C212yesmaximal, complemented
27#35177C211yesmaximal, characteristic, complemented
28#34476C212yesmaximal, complemented
29#34321C211yesmaximal, characteristic, complemented
30C2×#559C2212yes—
31C2×#555C2211yescharacteristic
32C2×#554C2212yescomplemented
33C2×#547C2212yes—
34C2×#547C2211yescharacteristic
35C2×#546C2212yes—
36C2×#546C2214yes—
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39C2×#542C2212yescomplemented
40C2×#529C2212yescomplemented
41#2858C2211yescharacteristic
42#2857C2212yescomplemented
43#2856C2212yes—
44#2855C2212yescomplemented
45#2855C2212yescomplemented
46#2828C2214yescomplemented
47#2815C2214yescomplemented
48#2808C2212yescomplemented
49#2808C2212yescomplemented
50#2808C2214yescomplemented
51#2804C2212yescomplemented
52#2798C2214yescomplemented
53#2796C2214yescomplemented
54#2793C2214yescomplemented
55#2749C2214yescomplemented
56#2749C2214yescomplemented
57#2738C2214yescomplemented
58#2738C2214yescomplemented
59#2733C2212yescomplemented
60#2733C2211yescharacteristic, complemented
61#2732C2211yescharacteristic
62#2732C2214yescomplemented
63#2732C2214yescomplemented
64#2732C2212yescomplemented
65#2730C2212yescomplemented
66#2727C2212yescomplemented
67#2727C2211yescharacteristic, complemented
68#2724C2212yes—
69#2724C2212yescomplemented
70#2724C2212yescomplemented
71#2721C2212yescomplemented
72#2714C2212yescomplemented
73#2712C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2707C2214yescomplemented
77#2707C2214yescomplemented
78#2705C2214yescomplemented
79#2705C2212yescomplemented
80#2703C2214yescomplemented
81#2701C2214yes—
82#2701C2214yescomplemented
83#2696C2214yescomplemented
84#2694C2214yescomplemented
85#2694C2214yescomplemented
86#2694C2212yescomplemented
87#2691C2214yescomplemented
88#2691C2214yescomplemented
89#2687C2214yescomplemented
90#2687C2214yescomplemented
91#2682C2211yescharacteristic
92#2682C2212yescomplemented
93#2681C2214yes—
94#2681C2214yescomplemented
95#2678C2214yes—
96#2676C2214yescomplemented
97#2673C2212yes—
98#2673C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2665C2214yescomplemented
103#2663C2214yescomplemented
104#2651C2214yescomplemented
105#2649C2214yescomplemented
106#2640C2212yescomplemented
107#2635C2214yescomplemented
108#2624C2212yescomplemented
109#2624C2214yescomplemented
110#2620C2212yescomplemented
111#2617C2214yescomplemented
112#2607C2214yescomplemented
113#2602C2214yescomplemented
114#2597C2214yescomplemented
115#2597C2214yescomplemented
116#2592C2212yescomplemented
117#2582C2212yescomplemented
118#2567C2211yescharacteristic, complemented
119#2563C2211yescharacteristic
120#2560C2214yescomplemented
121#2558C2214yescomplemented
122#2557C2214yescomplemented
123#2557C2214yescomplemented
124#2556C2214yescomplemented
125#2556C2214yescomplemented
126#2555C2214yescomplemented
127#2554C2214yescomplemented
128#2551C2211yescharacteristic, complemented
129#2547C2212yescomplemented
130#2547C2212yescomplemented
131#2542C2211yescharacteristic
132#2541C2211yescharacteristic
133#2540C2212yes—
134#2540C2212yes—
135#2540C2212yescomplemented
136#2539C2214yes—
137#2539C2214yes—
138#2538C2211yescharacteristic
139#2536C2212yescomplemented
140#2535C2212yescomplemented
141#2534C2214yes—
142#2534C2214yescomplemented
143#2521C2214yescomplemented
144#2516C2214yescomplemented
145#2512C2214yescomplemented
146#2509C2212yescomplemented
147#2507C2214yescomplemented
148#2501C2212yes—
149#2497C2212yescomplemented
150#2492C2212yescomplemented
151#2492C2212yescomplemented
152#2491C2212yes—
153#2486C2212yes—
154#2486C2212yescomplemented
155#2482C2214yescomplemented
156#2480C2214yescomplemented
157#2473C2214yescomplemented
158#2472C2214yes—
159#2472C2214yescomplemented
160#2465C2214yescomplemented
161#2464C2214yes—
162#2461C2214yescomplemented
163#2461C2214yescomplemented
164#2459C2214yescomplemented
165#2458C2214yescomplemented
166#2457C2214yescomplemented
167#2456C2214yescomplemented
168#2456C2214yescomplemented
169#2456C2214yescomplemented
170#2452C2212yes—
171#2452C2214yescomplemented
172#2447C2214yescomplemented
173#2447C2214yescomplemented
174#2447C2214yescomplemented
175#2446C2212yescomplemented
176#2445C2212yes—
177#2445C2214yescomplemented
178#2437C2214yescomplemented
179#2433C2212yes—
180#2432C2214yescomplemented
181#2429C2212yescomplemented
182#2428C2212yes—
183#2426C2214yescomplemented
184#2424C2214yescomplemented
185#2422C2214yescomplemented
186#2421C2212yescomplemented
187#2420C2212yescomplemented
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2417C2214yescomplemented
191#2416C2212yes—
192#2416C2212yescomplemented
193#2415C2212yescomplemented
194#2415C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2412C2214yescomplemented
198#2412C2214yescomplemented
199#2408C2212yes—
200#2408C2212yes—
201#2407C2212yes—
202#2407C2212yes—
203#2407C2214yescomplemented
204#2407C2214yescomplemented
205#2405C2214yes—
206#2404C2214yes—
207#2397C2212yescomplemented
208#2392C2212yescomplemented
209#2392C2212yescomplemented
210#2388C2214yescomplemented
211#2377C2214yescomplemented
212#2376C2214yescomplemented
213#2369C2211yescharacteristic, complemented
214#2367C2214yescomplemented
215#2367C2212yescomplemented
216#2367C2212yescomplemented
217#2363C2212yescomplemented
218#2361C2212yes—
219#2361C2212yescomplemented
220#2360C2212yescomplemented
221#2358C2214yescomplemented
222#2354C2211yescharacteristic
223D4×C4⋊C4C2211yescharacteristic, complemented
224D4×C4⋊C4C2212yescomplemented
225D4×C4⋊C4C2212yescomplemented
226#2347C2212yescomplemented
227#2347C2212yescomplemented
228#2342C2214yescomplemented
229#2341C2212yes—
230D4×C22⋊C4C2212yes—
231#2337C2214yescomplemented
232#2335C2214yes—
233#2335C2214yescomplemented
234#2331C2212yescomplemented
235#2326C2212yescomplemented
236#2324C2212yes—
237#2324C2214yescomplemented
238#2324C2212yescomplemented
239#2323C2212yescomplemented
240#2321C2214yescomplemented
241#2319C2212yes—
242#2315C2214yescomplemented
243#2311C2212yes—
244C4×C4⋊Q8C2211yescharacteristic, complemented
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×#127C2211yescharacteristic
247C4×C22⋊Q8C2212yescomplemented
248C4×#121C2212yes—
249C4×#121C2212yes—
250C4×#121C2212yescomplemented
251#2296C2212yescomplemented
252#2295C2211yescharacteristic, complemented
253#2293C2211yescharacteristic, complemented
254C2×#390C2212yes—
255C2×#390C2212yes—
256#2290C2212yescomplemented
257#2274C2212yescomplemented
258C42×D4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263#559—48no—
264#555—28no—
265#554—48no—
266#547—48no—
267#547—44no—
268#546—216no—
269#546—48no—
270#546—416no—
271D42—44no—
272#542—48no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#127C2312yes—
281#529—48no—
282C2×#126C2314yes—
283C2×#126C2312yes—
284C2×#126C2312yes—
285C2×#125C2312yes—
286C2×#125C2314yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2312yes—
380C22×C42C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2312yes—
389#399C2314yes—
390#399C2314yes—
391#399C2312yes—
392#399C2312yes—
393#399C2312yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2312yes—
424#396C2312yes—
425#396C2312yes—
426#396C2312yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2314yes—
435#395C2314yes—
436#394C2314yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2314yes—
476#392C2312yes—
477#392C2314yes—
478#392C2312yes—
479#392C2312yes—
480#392C2312yes—
481#392C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2312yes—
662#383C2314yes—
663#382C2312yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C2×#41—28no—
725C2×#41—48no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—48no—
729C2×#41—84no—
730C22×Q8C2412yes—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2414yes—
735C22×D4—28no—
736C22×D4—28no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—82no—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2411yescharacteristic
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C4⋊Q8—28no—
777C4⋊Q8—24no—
778C4⋊Q8—24no—
779C4⋊Q8—42no—
780C4⋊Q8—82no—
781#127—24no—
782#127—42no—
783#127—82no—
784#126—44no—
785#126—44no—
786#126—48no—
787#125—44no—
788#125—48no—
789#124—216no—
790#124—28no—
791#124—28no—
792#124—48no—
793#124—48no—
794#124—48no—
795#124—44no—
796#124—48no—
797#123—216no—
798#123—216no—
799#123—44no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—44no—
805#123—48no—
806#123—48no—
807#123—48no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—44no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—48no—
819C22⋊Q8—82no—
820#121—28no—
821#121—28no—
822#121—216no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—44no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—48no—
831#121—48no—
832#121—44no—
833#121—44no—
834#121—44no—
835#121—84no—
836#120—216no—
837#120—48no—
838#120—48no—
839#120—48no—
840#120—48no—
841C4×Q8—24no—
842C4×Q8—44no—
843C4×Q8—44no—
844C4×Q8—44no—
845C4×Q8—44no—
846C4×D4—24no—
847C4×D4—28no—
848C4×D4—24no—
849C4×D4—28no—
850C4×D4—24no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—42no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—82no—
865C4×D4—84no—
866C4×D4#4118yescomplemented
867#117—28no—
868#117—28no—
869#117—28no—
870#117—44no—
871#117—82no—
872C2×C4⋊C4—28no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C22⋊C4—216no—
931C2×C22⋊C4—48no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4—84no—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42—44no—
1003C2×C42—82no—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071C24—28no—
1072C24—28no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24C2514yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2512yes—
1083#41—816no—
1084#41—832no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—22no—
1090C2×Q8—28no—
1091C2×Q8—24no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—41no—
1096C2×Q8—44no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—42no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—44no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—41no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—816no—
1162C2×D4—816no—
1163C2×D4C2×#4114yes—
1164C2×D4H(5,𝔽2)14yes—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4C2×#4118yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—41no—
1283C4⋊C4C2×#4114yes—
1284C4⋊C4H(5,𝔽2)14yes—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4C2×#4118yes—
1352C42—28no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—42no—
1359C42—42no—
1360C42—41no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—41no—
1365C42—41no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42C2×#4114yes—
1373C42H(5,𝔽2)14yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—22no—
1407C23—416no—
1408C23—88no—
1409C23—88no—
1410C23—88no—
1411C23—88no—
1412C23—164no—
1413C23—164no—
1414C23C22×#4114yes—
1415C23C2×H(5,𝔽2)14yes—
1416C23C2611yescharacteristic
1417Q8—48no—
1418Q8—84no—
1419Q8—82no—
1420Q8—84no—
1421Q8—88no—
1422D4—28no—
1423D4—44no—
1424D4—48no—
1425D4—48no—
1426D4—416no—
1427D4—44no—
1428D4—48no—
1429D4—48no—
1430D4—48no—
1431D4—88no—
1432D4—82no—
1433D4—84no—
1434D4—88no—
1435D4—84no—
1436D4—88no—
1437D4—88no—
1438D4—84no—
1439D4—88no—
1440D4—162no—
1441D4—164no—
1442D4—164no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—84no—
1511C2×C4—88no—
1512C2×C4—84no—
1513C2×C4—88no—
1514C2×C4—88no—
1515C2×C4—84no—
1516C2×C4—88no—
1517C2×C4—164no—
1518C2×C4—164no—
1519C2×C4C22×#4114yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×H(5,𝔽2)14yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C2×C4C2×H(5,𝔽2)12yes—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—44no—
1549C22—42no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—42no—
1563C22—42no—
1564C22—1616no—
1565C22C23×#4111yescharacteristic
1566C22C22×H(5,𝔽2)11yescharacteristic
1567C22C22×H(5,𝔽2)11yescharacteristic
1568C22C22×H(5,𝔽2)11yescharacteristic
1569C22H(7,𝔽2)11yescharacteristic
1570C222−1+611yescharacteristic
1571C222−1+611yescharacteristic
1572C4—22no—
1573C4—22no—
1574C4—24no—
1575C4—22no—
1576C4—22no—
1577C4—24no—
1578C4—22no—
1579C4—44no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—44no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4#350814yes—
1596C2—44no—
1597C2—44no—
1598C2—82no—
1599C2—82no—
1600C2—84no—
1601C2C2×#350811yescharacteristic
1602C2#6284711yescharacteristic
1603C2#6287811yescharacteristic
1604C2#6289211yescharacteristic
1605C2#6291411yescharacteristic
1606C2#6298511yescharacteristic
1607C2#6304811yescharacteristic
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. #59827C2semidirect
2. #59808C2semidirect
3. #52160C2semidirect
4. #50848C2semidirect
5. #48796C2semidirect
6. #48218C2semidirect
7. #46945C2semidirect
8. #45806C2semidirect
9. #45356C2semidirect
10. #45049C2semidirect
11. #44996C2semidirect
12. #43105C2semidirect
13. #42677C2semidirect
14. #42593C2semidirect
15. #42071C2semidirect
16. #40223C2semidirect
17. #39765C2semidirect
18. #39486C2semidirect
19. #39381C2semidirect
20. #39268C2semidirect
21. #38464C2semidirect
22. #38024C2semidirect
23. #37315C2semidirect
24. #36260C2semidirect
25. #35697C2semidirect
26. #35569C2semidirect
27. #35177C2semidirect
28. #34476C2semidirect
29. #34321C2semidirect
32. C2×#554C22semidirect
39. C2×#542C22semidirect
40. C2×#529C22semidirect
42. #2857C22semidirect
44. #2855C22semidirect
45. #2855C22semidirect
46. #2828C22semidirect
47. #2815C22semidirect
48. #2808C22semidirect
49. #2808C22semidirect
50. #2808C22semidirect
51. #2804C22semidirect
52. #2798C22semidirect
53. #2796C22semidirect
54. #2793C22semidirect
55. #2749C22semidirect
56. #2749C22semidirect
57. #2738C22semidirect
58. #2738C22semidirect
59. #2733C22semidirect
60. #2733C22semidirect
62. #2732C22semidirect
63. #2732C22semidirect
64. #2732C22semidirect
65. #2730C22semidirect
66. #2727C22semidirect
67. #2727C22semidirect
69. #2724C22semidirect
70. #2724C22semidirect
71. #2721C22semidirect
72. #2714C22semidirect
73. #2712C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2707C22semidirect
77. #2707C22semidirect
78. #2705C22semidirect
79. #2705C22semidirect
80. #2703C22semidirect
82. #2701C22semidirect
83. #2696C22semidirect
84. #2694C22semidirect
85. #2694C22semidirect
86. #2694C22semidirect
87. #2691C22semidirect
88. #2691C22semidirect
89. #2687C22semidirect
90. #2687C22semidirect
92. #2682C22semidirect
94. #2681C22semidirect
96. #2676C22semidirect
98. #2673C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2665C22semidirect
103. #2663C22semidirect
104. #2651C22semidirect
105. #2649C22semidirect
106. #2640C22semidirect
107. #2635C22semidirect
108. #2624C22semidirect
109. #2624C22semidirect
110. #2620C22semidirect
111. #2617C22semidirect
112. #2607C22semidirect
113. #2602C22semidirect
114. #2597C22semidirect
115. #2597C22semidirect
116. #2592C22semidirect
117. #2582C22semidirect
118. #2567C22semidirect
120. #2560C22semidirect
121. #2558C22semidirect
122. #2557C22semidirect
123. #2557C22semidirect
124. #2556C22semidirect
125. #2556C22semidirect
126. #2555C22semidirect
127. #2554C22semidirect
128. #2551C22semidirect
129. #2547C22semidirect
130. #2547C22semidirect
135. #2540C22semidirect
139. #2536C22semidirect
140. #2535C22semidirect
142. #2534C22semidirect
143. #2521C22semidirect
144. #2516C22semidirect
145. #2512C22semidirect
146. #2509C22semidirect
147. #2507C22semidirect
149. #2497C22semidirect
150. #2492C22semidirect
151. #2492C22semidirect
154. #2486C22semidirect
155. #2482C22semidirect
156. #2480C22semidirect
157. #2473C22semidirect
159. #2472C22semidirect
160. #2465C22semidirect
162. #2461C22semidirect
163. #2461C22semidirect
164. #2459C22semidirect
165. #2458C22semidirect
166. #2457C22semidirect
167. #2456C22semidirect
168. #2456C22semidirect
169. #2456C22semidirect
171. #2452C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
177. #2445C22semidirect
178. #2437C22semidirect
180. #2432C22semidirect
181. #2429C22semidirect
183. #2426C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2421C22semidirect
187. #2420C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2415C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
197. #2412C22semidirect
198. #2412C22semidirect
203. #2407C22semidirect
204. #2407C22semidirect
207. #2397C22semidirect
208. #2392C22semidirect
209. #2392C22semidirect
210. #2388C22semidirect
211. #2377C22semidirect
212. #2376C22semidirect
213. #2369C22semidirect
214. #2367C22semidirect
215. #2367C22semidirect
216. #2367C22semidirect
217. #2363C22semidirect
219. #2361C22semidirect
220. #2360C22semidirect
221. #2358C22semidirect
223. D4×C4⋊C4C22semidirect
224. D4×C4⋊C4C22semidirect
225. D4×C4⋊C4C22semidirect
226. #2347C22semidirect
227. #2347C22semidirect
228. #2342C22semidirect
231. #2337C22semidirect
233. #2335C22semidirect
234. #2331C22semidirect
235. #2326C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
240. #2321C22semidirect
242. #2315C22semidirect
244. C4×C4⋊Q8C22semidirect
245. C4×C4⋊Q8C22semidirect
247. C4×C22⋊Q8C22semidirect
250. C4×#121C22semidirect
251. #2296C22semidirect
252. #2295C22semidirect
253. #2293C22semidirect
256. #2290C22semidirect
257. #2274C22semidirect
866. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598272
#598082
#521602
#508482
#487962
#482182
#469452
#458062
#453562
#450492
#449962
#431052
#426772
#425932
#420712
#402232
#397652
#394862
#393812
#392682
#384642
#380242
#373152
#362602
#356972
#355692
#351772
#344762
#343212