Finite Group Databasebeta

← #7698648

Subgroups — #7698648

Order 512.

5954 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59803C212yesmaximal, complemented
2#59628C211yesmaximal, characteristic, complemented
3#59414C214yesmaximal, complemented
4#59095C212yesmaximal, complemented
5#52294C212yesmaximal, complemented
6#52203C211yesmaximal, characteristic, complemented
7#45380C211yesmaximal, characteristic, complemented
8#45361C212yesmaximal, complemented
9#45038C212yesmaximal, complemented
10#44870C211yesmaximal, characteristic, complemented
11#44813C212yesmaximal, complemented
12#44241C212yesmaximal, complemented
13#44239C214yesmaximal, complemented
14#43367C214yesmaximal, complemented
15#40436C214yesmaximal, complemented
16#40136C214yesmaximal, complemented
17#39052C212yesmaximal, complemented
18#38510C214yesmaximal, complemented
19#38056C212yesmaximal, complemented
20#37782C212yesmaximal, complemented
21#36529C211yesmaximal, characteristic, complemented
22#36494C212yesmaximal, complemented
23#36083C211yesmaximal, characteristic, complemented
24#35941C211yesmaximal, characteristic, complemented
25#35897C212yesmaximal, complemented
26#35741C212yesmaximal, complemented
27#34290C212yesmaximal, complemented
28#34275C212yesmaximal, complemented
29#34232C212yesmaximal, complemented
30C2×#559C2212yescomplemented
31C2×#553C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#546C2214yescomplemented
34C2×D42C2212yes—
35C2×#535C2212yes—
36C2×#532C2212yes—
37C2×#520C2211yescharacteristic, complemented
38C2×#518C2212yescomplemented
39C22×C4×D4C2211yescharacteristic
40#2865C2214yescomplemented
41#2854C2211yescharacteristic, complemented
42#2854C2212yescomplemented
43#2847C2212yescomplemented
44#2795C2214yescomplemented
45#2790C2214yescomplemented
46#2784C2214yescomplemented
47#2780C2214yescomplemented
48#2778C2214yescomplemented
49#2778C2214yescomplemented
50#2764C2211yescharacteristic, complemented
51#2763C2214yescomplemented
52#2763C2211yescharacteristic, complemented
53#2762C2212yescomplemented
54#2761C2212yescomplemented
55#2760C2211yescharacteristic
56#2760C2212yescomplemented
57#2756C2214yescomplemented
58#2753C2214yescomplemented
59#2753C2214yescomplemented
60#2753C2214yescomplemented
61#2749C2214yescomplemented
62#2749C2212yescomplemented
63#2746C2214yescomplemented
64#2743C2212yescomplemented
65#2737C2212yescomplemented
66#2736C2212yescomplemented
67#2712C2214yescomplemented
68#2712C2212yescomplemented
69#2709C2212yescomplemented
70#2708C2214yescomplemented
71#2706C2212yescomplemented
72#2706C2214yescomplemented
73#2693C2211yescharacteristic
74#2688C2214yescomplemented
75#2688C2214yescomplemented
76#2679C2212yes—
77#2678C2214yescomplemented
78#2676C2214yescomplemented
79#2673C2214yescomplemented
80#2670C2212yes—
81#2670C2214yescomplemented
82#2670C2214yescomplemented
83#2669C2214yes—
84#2661C2212yescomplemented
85#2648C2214yescomplemented
86#2644C2212yescomplemented
87#2641C2211yescharacteristic, complemented
88#2637C2212yescomplemented
89#2635C2214yescomplemented
90#2619C2212yescomplemented
91#2615C2211yescharacteristic, complemented
92#2603C2212yescomplemented
93#2602C2214yescomplemented
94#2600C2212yescomplemented
95#2600C2212yescomplemented
96#2584C2211yescharacteristic, complemented
97#2580C2214yescomplemented
98#2580C2212yescomplemented
99#2576C2214yescomplemented
100#2576C2214yescomplemented
101#2576C2214yescomplemented
102#2559C2214yescomplemented
103#2557C2214yescomplemented
104#2557C2214yescomplemented
105#2555C2212yes—
106#2543C2212yescomplemented
107#2543C2214yescomplemented
108#2541C2211yescharacteristic
109#2541C2212yes—
110#2539C2212yescomplemented
111#2539C2214yescomplemented
112#2535C2212yes—
113#2535C2214yescomplemented
114#2534C2212yescomplemented
115#2534C2214yescomplemented
116#2531C2214yescomplemented
117#2527C2214yescomplemented
118#2526C2214yescomplemented
119#2513C2212yescomplemented
120#2509C2212yescomplemented
121#2508C2212yescomplemented
122#2505C2214yescomplemented
123#2504C2211yescharacteristic, complemented
124#2494C2212yescomplemented
125#2491C2212yescomplemented
126#2491C2212yescomplemented
127#2488C2214yescomplemented
128#2486C2211yescharacteristic, complemented
129#2483C2212yescomplemented
130#2467C2214yescomplemented
131#2464C2214yescomplemented
132#2464C2214yescomplemented
133#2464C2214yescomplemented
134#2459C2214yescomplemented
135#2459C2214yescomplemented
136#2458C2214yescomplemented
137#2458C2214yescomplemented
138#2457C2214yescomplemented
139#2457C2214yescomplemented
140#2456C2214yescomplemented
141#2456C2214yescomplemented
142#2456C2214yescomplemented
143#2456C2214yescomplemented
144#2454C2212yescomplemented
145#2452C2212yescomplemented
146#2450C2214yescomplemented
147#2445C2212yes—
148#2445C2212yescomplemented
149#2445C2212yescomplemented
150#2444C2214yescomplemented
151#2444C2214yescomplemented
152#2442C2212yescomplemented
153#2439C2212yescomplemented
154#2433C2214yes—
155#2433C2212yes—
156#2433C2211yescharacteristic
157#2433C2212yescomplemented
158#2431C2214yescomplemented
159#2430C2212yescomplemented
160#2428C2212yes—
161#2428C2214yescomplemented
162#2428C2212yescomplemented
163#2428C2212yescomplemented
164#2428C2212yescomplemented
165#2426C2214yescomplemented
166#2424C2214yescomplemented
167#2424C2214yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2424C2214yescomplemented
171#2423C2214yescomplemented
172#2422C2214yescomplemented
173#2420C2212yescomplemented
174#2418C2214yescomplemented
175#2418C2214yescomplemented
176#2416C2212yescomplemented
177#2414C2212yes—
178#2412C2214yescomplemented
179#2412C2214yescomplemented
180#2410C2214yescomplemented
181#2408C2211yescharacteristic
182#2404C2214yescomplemented
183#2404C2214yescomplemented
184#2404C2214yescomplemented
185#2403C2212yes—
186#2401C2212yescomplemented
187#2398C2212yescomplemented
188#2398C2214yescomplemented
189#2398C2211yescharacteristic, complemented
190#2396C2212yescomplemented
191#2388C2211yescharacteristic
192#2388C2212yescomplemented
193#2388C2214yescomplemented
194#2366C2212yes—
195#2366C2212yescomplemented
196#2366C2212yescomplemented
197#2365C2212yescomplemented
198#2365C2212yescomplemented
199#2364C2214yescomplemented
200#2363C2212yes—
201#2363C2212yes—
202#2363C2212yescomplemented
203#2363C2212yescomplemented
204#2363C2212yescomplemented
205#2363C2212yescomplemented
206#2363C2212yescomplemented
207#2361C2212yes—
208#2361C2212yescomplemented
209#2361C2212yescomplemented
210#2361C2212yescomplemented
211#2361C2212yescomplemented
212#2358C2214yescomplemented
213#2358C2214yescomplemented
214#2358C2214yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2358C2214yescomplemented
218#2357C2212yescomplemented
219#2353C2214yescomplemented
220#2353C2214yescomplemented
221#2352C2212yescomplemented
222#2349C2212yescomplemented
223#2346C2211yescharacteristic, complemented
224#2345C2211yescharacteristic, complemented
225#2341C2214yescomplemented
226#2339C2214yescomplemented
227D4×C22⋊C4C2212yes—
228D4×C22⋊C4C2214yescomplemented
229D4×C22⋊C4C2212yescomplemented
230#2333C2214yescomplemented
231#2333C2214yescomplemented
232#2328C2212yes—
233#2328C2214yescomplemented
234#2326C2214yescomplemented
235#2325C2214yescomplemented
236#2324C2212yes—
237#2321C2214yescomplemented
238#2319C2212yescomplemented
239#2319C2212yescomplemented
240#2317C2212yescomplemented
241C4×#127C2214yescomplemented
242C4×#124C2214yescomplemented
243C4×#124C2214yescomplemented
244C4×#124C2214yescomplemented
245C4×#124C2214yescomplemented
246C4×#123C2212yescomplemented
247C4×#123C2211yescharacteristic, complemented
248C4×#121C2212yescomplemented
249C4×#120C2214yescomplemented
250C4×#120C2212yescomplemented
251#2297C2212yescomplemented
252C2×#390C2212yescomplemented
253#2290C2212yescomplemented
254C2×#386C2214yescomplemented
255#2283C2212yescomplemented
256#2275C2212yescomplemented
257#2275C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265C24×C4C2312yes—
266#559—48no—
267#553—44no—
268#550—44no—
269#546—416no—
270D42—216no—
271#535—216no—
272#532—216no—
273C2×C4⋊Q8C2312yes—
274C2×#127C2314yes—
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#126C2312yes—
281C2×#125C2311yescharacteristic
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#123C2312yes—
287C2×#123C2311yescharacteristic
288C2×#123C2312yes—
289C2×#123C2314yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2312yes—
321C2×#120C2314yes—
322C2×#120C2312yes—
323C2×#120C2312yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327#520—44no—
328#518—48no—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2314yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2314yes—
333C2×C4×D4—44no—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377#401C2312yes—
378#401C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#399C2312yes—
389#399C2314yes—
390#399C2314yes—
391#398C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2312yes—
395#398C2312yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2311yescharacteristic
401#397C2312yes—
402#397C2314yes—
403#397C2312yes—
404#397C2312yes—
405#397C2314yes—
406#397C2312yes—
407#397C2311yescharacteristic
408#397C2312yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2312yes—
418#396C2312yes—
419#396C2314yes—
420#395C2312yes—
421#395C2311yescharacteristic
422#395C2312yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2311yescharacteristic
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2312yes—
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2312yes—
446#394C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2312yes—
451#393C2311yescharacteristic
452#393C2311yescharacteristic
453#393C2312yes—
454#393C2314yes—
455#393C2311yescharacteristic
456#393C2314yes—
457#392C2312yes—
458#392C2312yes—
459#392C2314yes—
460#392C2312yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2311yescharacteristic
467#392C2312yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2312yes—
476#392C2314yes—
477#392C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2312yes—
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#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
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#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2311yescharacteristic
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2312yes—
641#385C2311yescharacteristic
642#385C2312yes—
643#384C2314yes—
644#383C2312yes—
645#383C2312yes—
646#382C2314yes—
647#382C2312yes—
648#382C2314yes—
649#382C2312yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#381C2314yes—
654#381C2314yes—
655#381C2312yes—
656#381C2314yes—
657#381C2312yes—
658#381C2312yes—
659#381C2311yescharacteristic
660#381C2312yes—
661#381C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2314yes—
666#380C2312yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2311yescharacteristic
672#380C2311yescharacteristic
673#380C2314yes—
674#379C2314yes—
675#379C2314yes—
676#379C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2311yescharacteristic
715#376C2312yes—
716#376C2314yes—
717#376C2312yes—
718C2×#95C2314yes—
719C2×#95C2312yes—
720C2×#95C2314yes—
721C43C2314yes—
722C25C2412yes—
723C25C2414yes—
724C2×#41—216no—
725C2×#41—28no—
726C2×#41—42no—
727C2×#41—44no—
728C2×#41—48no—
729C2×#41—84no—
730C2×#41—84no—
731C22×Q8C2414yes—
732C22×Q8C2411yescharacteristic
733C22×Q8C2411yescharacteristic
734C22×D4—28no—
735C22×D4—28no—
736C22×D4—216no—
737C22×D4—28no—
738C22×D4—42no—
739C22×D4—44no—
740C22×D4—48no—
741C22×D4—84no—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C23×C4—44no—
768C23×C4—84no—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C4⋊Q8—28no—
789#127—28no—
790#127—216no—
791#127—28no—
792#127—44no—
793#127—42no—
794#127—44no—
795#126—44no—
796#125—42no—
797#124—216no—
798#124—216no—
799#124—216no—
800#124—48no—
801#123—28no—
802#123—24no—
803#123—48no—
804#123—48no—
805#123—44no—
806#123—44no—
807#123—84no—
808#123—84no—
809#123—82no—
810C22⋊Q8—48no—
811#121—216no—
812#121—28no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—28no—
817#121—216no—
818#121—44no—
819#121—48no—
820#121—44no—
821#121—48no—
822#121—48no—
823#121—48no—
824#121—42no—
825#121—42no—
826#121—84no—
827#121—84no—
828#121—84no—
829#121—84no—
830#121#41116yescomplemented
831#120—216no—
832#120—216no—
833#120—216no—
834#120—216no—
835#120—28no—
836#120—48no—
837#120—82no—
838#120—84no—
839#120—84no—
840#120—82no—
841#120—84no—
842C4×Q8—44no—
843C4×Q8—42no—
844C4×Q8—48no—
845C4×Q8—84no—
846C4×D4—28no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—24no—
853C4×D4—216no—
854C4×D4—48no—
855C4×D4—48no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—44no—
865C4×D4—42no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—84no—
869C4×D4—84no—
870C4×D4—84no—
871C4×D4—84no—
872C4×D4—84no—
873#117—28no—
874#117—28no—
875#117—24no—
876#117—44no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C22⋊C4—44no—
918C2×C22⋊C4—48no—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—48no—
922C2×C22⋊C4—84no—
923C2×C22⋊C4—84no—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C42—28no—
994C2×C42—42no—
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014#95C2414yes—
1015#95C2411yescharacteristic
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2411yescharacteristic
1025#95C2412yes—
1026#95C2412yes—
1027#95C2411yescharacteristic
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069C24—28no—
1070C24—24no—
1071C24—28no—
1072C24—28no—
1073C24—42no—
1074C24—44no—
1075C24—44no—
1076C24—42no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24C2514yes—
1082C24C2512yes—
1083C24C2511yescharacteristic
1084C24C2512yes—
1085C24C2514yes—
1086C24C2511yescharacteristic
1087#41—416no—
1088#41—832no—
1089#41—816no—
1090C2×Q8—24no—
1091C2×Q8—28no—
1092C2×Q8—28no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—44no—
1096C2×Q8—42no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—24no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—28no—
1125C2×D4—432no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—41no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—416no—
1167C2×D4—832no—
1168C2×D4C2×#4118yes—
1169C2×D4C2×#41116yes—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—24no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—816no—
1222C22×C4C2×#4118yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4C2×#4118yes—
1282C4⋊C4H(5,𝔽2)14yes—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—41no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—41no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4C2×#41116yes—
1351C22⋊C4H(5,𝔽2)14yes—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—28no—
1357C42—24no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—28no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—42no—
1371C23—22no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—22no—
1378C23—21no—
1379C23—22no—
1380C23—24no—
1381C23—21no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—24no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—24no—
1390C23—22no—
1391C23—21no—
1392C23—24no—
1393C23—21no—
1394C23—22no—
1395C23—24no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—21no—
1402C23—24no—
1403C23—24no—
1404C23—48no—
1405C23—416no—
1406C23—416no—
1407C23—88no—
1408C23—84no—
1409C23—88no—
1410C23—88no—
1411C23—88no—
1412C23—88no—
1413C23—84no—
1414C23—164no—
1415C23—164no—
1416C23C22×#4118yes—
1417C23C22×#4114yes—
1418C23C2×H(5,𝔽2)12yes—
1419C23C2611yescharacteristic
1420Q8—44no—
1421Q8—416no—
1422Q8—44no—
1423D4—216no—
1424D4—416no—
1425D4—416no—
1426D4—416no—
1427D4—48no—
1428D4—416no—
1429D4—48no—
1430D4—48no—
1431D4—44no—
1432D4—44no—
1433D4—48no—
1434D4—88no—
1435D4—88no—
1436D4—88no—
1437D4—88no—
1438D4—88no—
1439D4—84no—
1440D4—82no—
1441D4—88no—
1442D4—88no—
1443D4—88no—
1444D4—84no—
1445D4—162no—
1446D4—164no—
1447D4—162no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—216no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
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—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—88no—
1511C2×C4—84no—
1512C2×C4—88no—
1513C2×C4—88no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—84no—
1517C2×C4—82no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4—164no—
1521C2×C4—162no—
1522C2×C4—164no—
1523C2×C4—164no—
1524C2×C4C22×#4114yes—
1525C2×C4C22×#4118yes—
1526C2×C4C22×#4114yes—
1527C2×C4C2×H(5,𝔽2)14yes—
1528C2×C4C2×H(5,𝔽2)14yes—
1529C2×C4C2×H(5,𝔽2)12yes—
1530C22—24no—
1531C22—28no—
1532C22—24no—
1533C22—24no—
1534C22—28no—
1535C22—22no—
1536C22—24no—
1537C22—28no—
1538C22—44no—
1539C22—42no—
1540C22—41no—
1541C22—44no—
1542C22—42no—
1543C22—42no—
1544C22—44no—
1545C22—42no—
1546C22—42no—
1547C22—44no—
1548C22—41no—
1549C22—44no—
1550C22—44no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—41no—
1556C22—42no—
1557C22—44no—
1558C22—44no—
1559C22—44no—
1560C22—41no—
1561C22—44no—
1562C22—42no—
1563C22—41no—
1564C22—44no—
1565C22—42no—
1566C22—816no—
1567C22—1616no—
1568C22C23×#4112yes—
1569C22C22×H(5,𝔽2)11yescharacteristic
1570C22C22×H(5,𝔽2)11yescharacteristic
1571C22H(7,𝔽2)12yes—
1572C22H(7,𝔽2)11yescharacteristic
1573C4—24no—
1574C4—28no—
1575C4—24no—
1576C4—24no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—42no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4#348114yes—
1596C2—42no—
1597C2—48no—
1598C2—44no—
1599C2—82no—
1600C2—81no—
1601C2—84no—
1602C2C2×#348111yescharacteristic
1603C2#6285812yes—
1604C2#6291611yescharacteristic
1605C2#6298312yes—
1606C2#6304511yescharacteristic
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. #59803C2semidirect
2. #59628C2semidirect
3. #59414C2semidirect
4. #59095C2semidirect
5. #52294C2semidirect
6. #52203C2semidirect
7. #45380C2semidirect
8. #45361C2semidirect
9. #45038C2semidirect
10. #44870C2semidirect
11. #44813C2semidirect
12. #44241C2semidirect
13. #44239C2semidirect
14. #43367C2semidirect
15. #40436C2semidirect
16. #40136C2semidirect
17. #39052C2semidirect
18. #38510C2semidirect
19. #38056C2semidirect
20. #37782C2semidirect
21. #36529C2semidirect
22. #36494C2semidirect
23. #36083C2semidirect
24. #35941C2semidirect
25. #35897C2semidirect
26. #35741C2semidirect
27. #34290C2semidirect
28. #34275C2semidirect
29. #34232C2semidirect
30. C2×#559C22semidirect
31. C2×#553C22semidirect
32. C2×#550C22semidirect
33. C2×#546C22semidirect
37. C2×#520C22semidirect
38. C2×#518C22semidirect
40. #2865C22semidirect
41. #2854C22semidirect
42. #2854C22semidirect
43. #2847C22semidirect
44. #2795C22semidirect
45. #2790C22semidirect
46. #2784C22semidirect
47. #2780C22semidirect
48. #2778C22semidirect
49. #2778C22semidirect
50. #2764C22semidirect
51. #2763C22semidirect
52. #2763C22semidirect
53. #2762C22semidirect
54. #2761C22semidirect
56. #2760C22semidirect
57. #2756C22semidirect
58. #2753C22semidirect
59. #2753C22semidirect
60. #2753C22semidirect
61. #2749C22semidirect
62. #2749C22semidirect
63. #2746C22semidirect
64. #2743C22semidirect
65. #2737C22semidirect
66. #2736C22semidirect
67. #2712C22semidirect
68. #2712C22semidirect
69. #2709C22semidirect
70. #2708C22semidirect
71. #2706C22semidirect
72. #2706C22semidirect
74. #2688C22semidirect
75. #2688C22semidirect
77. #2678C22semidirect
78. #2676C22semidirect
79. #2673C22semidirect
81. #2670C22semidirect
82. #2670C22semidirect
84. #2661C22semidirect
85. #2648C22semidirect
86. #2644C22semidirect
87. #2641C22semidirect
88. #2637C22semidirect
89. #2635C22semidirect
90. #2619C22semidirect
91. #2615C22semidirect
92. #2603C22semidirect
93. #2602C22semidirect
94. #2600C22semidirect
95. #2600C22semidirect
96. #2584C22semidirect
97. #2580C22semidirect
98. #2580C22semidirect
99. #2576C22semidirect
100. #2576C22semidirect
101. #2576C22semidirect
102. #2559C22semidirect
103. #2557C22semidirect
104. #2557C22semidirect
106. #2543C22semidirect
107. #2543C22semidirect
110. #2539C22semidirect
111. #2539C22semidirect
113. #2535C22semidirect
114. #2534C22semidirect
115. #2534C22semidirect
116. #2531C22semidirect
117. #2527C22semidirect
118. #2526C22semidirect
119. #2513C22semidirect
120. #2509C22semidirect
121. #2508C22semidirect
122. #2505C22semidirect
123. #2504C22semidirect
124. #2494C22semidirect
125. #2491C22semidirect
126. #2491C22semidirect
127. #2488C22semidirect
128. #2486C22semidirect
129. #2483C22semidirect
130. #2467C22semidirect
131. #2464C22semidirect
132. #2464C22semidirect
133. #2464C22semidirect
134. #2459C22semidirect
135. #2459C22semidirect
136. #2458C22semidirect
137. #2458C22semidirect
138. #2457C22semidirect
139. #2457C22semidirect
140. #2456C22semidirect
141. #2456C22semidirect
142. #2456C22semidirect
143. #2456C22semidirect
144. #2454C22semidirect
145. #2452C22semidirect
146. #2450C22semidirect
148. #2445C22semidirect
149. #2445C22semidirect
150. #2444C22semidirect
151. #2444C22semidirect
152. #2442C22semidirect
153. #2439C22semidirect
157. #2433C22semidirect
158. #2431C22semidirect
159. #2430C22semidirect
161. #2428C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2426C22semidirect
166. #2424C22semidirect
167. #2424C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2424C22semidirect
171. #2423C22semidirect
172. #2422C22semidirect
173. #2420C22semidirect
174. #2418C22semidirect
175. #2418C22semidirect
176. #2416C22semidirect
178. #2412C22semidirect
179. #2412C22semidirect
180. #2410C22semidirect
182. #2404C22semidirect
183. #2404C22semidirect
184. #2404C22semidirect
186. #2401C22semidirect
187. #2398C22semidirect
188. #2398C22semidirect
189. #2398C22semidirect
190. #2396C22semidirect
192. #2388C22semidirect
193. #2388C22semidirect
195. #2366C22semidirect
196. #2366C22semidirect
197. #2365C22semidirect
198. #2365C22semidirect
199. #2364C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2363C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2358C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2358C22semidirect
218. #2357C22semidirect
219. #2353C22semidirect
220. #2353C22semidirect
221. #2352C22semidirect
222. #2349C22semidirect
223. #2346C22semidirect
224. #2345C22semidirect
225. #2341C22semidirect
226. #2339C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. #2333C22semidirect
231. #2333C22semidirect
233. #2328C22semidirect
234. #2326C22semidirect
235. #2325C22semidirect
237. #2321C22semidirect
238. #2319C22semidirect
239. #2319C22semidirect
240. #2317C22semidirect
241. C4×#127C22semidirect
242. C4×#124C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
245. C4×#124C22semidirect
246. C4×#123C22semidirect
247. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#120C22semidirect
250. C4×#120C22semidirect
251. #2297C22semidirect
252. C2×#390C22semidirect
253. #2290C22semidirect
254. C2×#386C22semidirect
255. #2283C22semidirect
256. #2275C22semidirect
257. #2275C22semidirect
258. C4×#117C22semidirect
830. #121#41semidirect

Maximal subgroups

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

subgroupindex
#598032
#596282
#594142
#590952
#522942
#522032
#453802
#453612
#450382
#448702
#448132
#442412
#442392
#433672
#404362
#401362
#390522
#385102
#380562
#377822
#365292
#364942
#360832
#359412
#358972
#357412
#342902
#342752
#342322