Finite Group Databasebeta

← #8398763

Subgroups — #8398763

Order 512.

5842 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59808C212yesmaximal, complemented
2#59455C212yesmaximal, complemented
3#58267C212yesmaximal, complemented
4#56439C214yesmaximal, complemented
5#53492C212yesmaximal, complemented
6#51522C214yesmaximal, complemented
7#48559C214yesmaximal, complemented
8#48406C214yesmaximal, complemented
9#48083C214yesmaximal, complemented
10#45688C212yesmaximal, complemented
11#45610C212yesmaximal, complemented
12#45352C212yesmaximal, complemented
13#45103C212yesmaximal, complemented
14#44878C212yesmaximal, complemented
15#44305C212yesmaximal, complemented
16#43079C214yesmaximal, complemented
17#42952C211yesmaximal, characteristic, complemented
18#42506C211yesmaximal, characteristic, complemented
19#40044C212yesmaximal, complemented
20#39359C212yesmaximal, complemented
21#39221C212yesmaximal, complemented
22#38962C212yesmaximal, complemented
23#37289C211yesmaximal, characteristic, complemented
24#36361C212yesmaximal, complemented
25#36258C212yesmaximal, complemented
26#35730C211yesmaximal, characteristic, complemented
27#35691C211yesmaximal, characteristic, complemented
28#35529C211yesmaximal, characteristic, complemented
29#34976C211yesmaximal, characteristic, complemented
30C2×#553C2212yescomplemented
31C2×#547C2212yescomplemented
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2214yescomplemented
34C2×#546C2214yescomplemented
35C2×D42C2212yes—
36C2×D42C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#537C2214yescomplemented
39C2×#518C2211yescharacteristic
40C2×C4×#41C2212yescomplemented
41#2856C2212yescomplemented
42#2854C2212yescomplemented
43#2854C2212yescomplemented
44#2854C2212yescomplemented
45#2851C2212yescomplemented
46#2836C2214yescomplemented
47#2834C2212yescomplemented
48#2829C2214yescomplemented
49#2823C2212yescomplemented
50#2801C2214yescomplemented
51#2795C2212yescomplemented
52#2792C2212yescomplemented
53#2788C2214yescomplemented
54#2785C2212yescomplemented
55#2784C2214yescomplemented
56#2782C2212yescomplemented
57#2781C2214yescomplemented
58#2780C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2768C2214yescomplemented
62#2765C2214yescomplemented
63#2750C2214yescomplemented
64#2748C2214yescomplemented
65#2743C2214yescomplemented
66#2735C2214yescomplemented
67#2729C2214yescomplemented
68#2728C2214yescomplemented
69#2710C2214yescomplemented
70#2710C2214yescomplemented
71#2708C2214yescomplemented
72#2707C2214yescomplemented
73#2706C2214yescomplemented
74#2706C2214yescomplemented
75#2701C2214yescomplemented
76#2701C2214yescomplemented
77#2700C2214yescomplemented
78#2697C2214yescomplemented
79#2696C2214yescomplemented
80#2693C2212yescomplemented
81#2692C2214yescomplemented
82#2691C2214yescomplemented
83#2685C2214yescomplemented
84#2683C2214yescomplemented
85#2682C2214yescomplemented
86#2682C2214yescomplemented
87#2681C2214yescomplemented
88#2681C2214yescomplemented
89#2681C2214yescomplemented
90#2681C2214yescomplemented
91#2680C2212yescomplemented
92#2680C2212yescomplemented
93#2678C2214yescomplemented
94#2676C2214yescomplemented
95#2675C2212yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2214yescomplemented
102#2653C2214yescomplemented
103#2649C2214yescomplemented
104#2638C2214yescomplemented
105#2638C2212yescomplemented
106#2636C2214yescomplemented
107#2628C2211yescharacteristic, complemented
108#2626C2214yescomplemented
109#2619C2211yescharacteristic
110#2618C2214yescomplemented
111#2617C2212yes—
112#2609C2211yescharacteristic, complemented
113#2609C2211yescharacteristic, complemented
114#2609C2212yescomplemented
115#2587C2214yescomplemented
116#2584C2212yescomplemented
117#2582C2211yescharacteristic, complemented
118#2580C2212yescomplemented
119#2566C2212yescomplemented
120#2566C2212yescomplemented
121#2566C2212yescomplemented
122#2563C2211yescharacteristic
123#2563C2212yescomplemented
124#2562C2212yescomplemented
125#2561C2212yescomplemented
126#2558C2214yescomplemented
127#2549C2214yescomplemented
128#2548C2212yescomplemented
129#2543C2212yes—
130#2542C2212yescomplemented
131#2541C2211yescharacteristic
132#2538C2212yes—
133#2538C2212yescomplemented
134#2537C2212yescomplemented
135#2537C2211yescharacteristic, complemented
136#2535C2211yescharacteristic
137#2535C2211yescharacteristic
138#2534C2214yescomplemented
139#2513C2212yescomplemented
140#2508C2212yescomplemented
141#2507C2212yescomplemented
142#2494C2212yescomplemented
143#2491C2212yescomplemented
144#2490C2212yescomplemented
145#2490C2212yescomplemented
146#2487C2212yescomplemented
147#2486C2212yescomplemented
148#2485C2212yescomplemented
149#2485C2212yescomplemented
150#2485C2212yescomplemented
151#2479C2214yescomplemented
152#2472C2214yescomplemented
153#2470C2214yescomplemented
154#2469C2214yescomplemented
155#2464C2214yescomplemented
156#2461C2214yescomplemented
157#2461C2214yescomplemented
158#2457C2214yescomplemented
159#2456C2214yescomplemented
160#2456C2214yescomplemented
161#2455C2212yes—
162#2455C2214yescomplemented
163#2454C2212yes—
164#2454C2212yes—
165#2454C2212yescomplemented
166#2454C2212yescomplemented
167#2452C2212yes—
168#2452C2212yescomplemented
169#2452C2212yescomplemented
170#2450C2214yescomplemented
171#2449C2214yescomplemented
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2443C2214yescomplemented
175#2442C2212yescomplemented
176#2442C2212yescomplemented
177#2440C2212yescomplemented
178#2440C2212yescomplemented
179#2437C2214yescomplemented
180#2437C2214yescomplemented
181#2437C2214yescomplemented
182#2437C2214yescomplemented
183#2432C2214yescomplemented
184#2430C2214yescomplemented
185#2430C2214yescomplemented
186#2430C2214yescomplemented
187#2428C2212yes—
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2427C2214yescomplemented
191#2426C2214yescomplemented
192#2424C2214yes—
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2420C2212yescomplemented
197#2418C2214yescomplemented
198#2418C2214yescomplemented
199#2417C2214yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2414C2212yes—
206#2414C2214yescomplemented
207#2411C2214yescomplemented
208#2411C2214yescomplemented
209#2410C2214yes—
210#2408C2212yes—
211#2408C2212yes—
212#2408C2212yes—
213#2408C2212yes—
214#2408C2214yescomplemented
215#2407C2212yes—
216#2407C2212yescomplemented
217#2407C2214yescomplemented
218#2405C2214yescomplemented
219#2405C2214yescomplemented
220#2404C2212yescomplemented
221#2404C2214yescomplemented
222#2392C2211yescharacteristic
223#2392C2212yescomplemented
224#2392C2211yescharacteristic, complemented
225#2388C2212yescomplemented
226C2×#392C2212yes—
227#2377C2214yescomplemented
228#2377C2214yescomplemented
229#2369C2212yescomplemented
230#2361C2212yes—
231#2361C2212yes—
232#2361C2214yescomplemented
233#2359C2214yescomplemented
234#2357C2211yescharacteristic, complemented
235#2352C2212yescomplemented
236#2349C2211yescharacteristic
237#2349C2214yescomplemented
238D4×C4⋊C4C2212yescomplemented
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2214yescomplemented
242#2335C2214yescomplemented
243#2324C2212yescomplemented
244#2321C2214yescomplemented
245#2317C2211yescharacteristic, complemented
246#2315C2214yescomplemented
247#2309C2211yescharacteristic
248C4×C22⋊Q8C2212yescomplemented
249C4×C22⋊Q8C2212yescomplemented
250C4×#121C2212yes—
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254#2296C2211yescharacteristic, complemented
255C2×#390C2212yes—
256C2×#390C2211yescharacteristic
257C2×#389C2212yescomplemented
258#2285C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266#553—48no—
267#547—44no—
268#547—48no—
269#546—416no—
270#546—416no—
271D42—44no—
272D42—48no—
273#544—44no—
274#537—416no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×#127C2312yes—
279C2×#127C2311yescharacteristic
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#125C2312yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336#518—44no—
337C4×#41—48no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385C22×C42C2312yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2311yescharacteristic
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2311yescharacteristic
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#397C2311yescharacteristic
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2311yescharacteristic
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2311yescharacteristic
457#394C2311yescharacteristic
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2312yes—
483#393C2312yes—
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2312yes—
491#392C2312yes—
492#392C2312yes—
493#392C2314yes—
494#392C2311yescharacteristic
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2312yes—
500#392C2314yes—
501#392C2311yescharacteristic
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#388C2314yes—
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#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#382C2312yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2314yes—
670#382C2311yescharacteristic
671#381C2314yes—
672#381C2312yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2312yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C2×#95C2312yes—
722C2×#95C2314yes—
723C25C2414yes—
724C25C2412yes—
725C2×#41—28no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—48no—
729C2×#41—48no—
730C2×#41—48no—
731C2×#41—44no—
732C2×#41—48no—
733C22×Q8C2412yes—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×D4—24no—
737C22×D4—28no—
738C22×D4—24no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—48no—
744C22×D4—48no—
745C22×D4—48no—
746C22×D4—48no—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C4⋊Q8—28no—
789C4⋊Q8—42no—
790C4⋊Q8—44no—
791#127—44no—
792#127—42no—
793#126—48no—
794#125—44no—
795#125—44no—
796#125—44no—
797#124—48no—
798#124—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—48no—
819C22⋊Q8—44no—
820#121—28no—
821#121—216no—
822#121—216no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—28no—
827#121—48no—
828#121—44no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—48no—
843#120—216no—
844#120—48no—
845#120—48no—
846#120—48no—
847#120—48no—
848#120—48no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—24no—
854C4×D4—24no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—42no—
859C4×D4—42no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—42no—
866C4×D4—42no—
867C4×D4—44no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—48no—
873C4×D4—48no—
874C4×D4—48no—
875#117—24no—
876#117—24no—
877#117—42no—
878#117—42no—
879#117—44no—
880#117—44no—
881#117—44no—
882C2×C4⋊C4—28no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C22⋊C4—48no—
940C2×C22⋊C4—44no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—24no—
1015C2×C42—44no—
1016C2×C42—44no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034#95C2414yes—
1035#95C2411yescharacteristic
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2411yescharacteristic
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2411yescharacteristic
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080C24—28no—
1081C24—24no—
1082C24—24no—
1083C24—28no—
1084C24—42no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24C2512yes—
1093C24C2514yes—
1094C24C2511yescharacteristic
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098#41—432no—
1099#41—816no—
1100#41—832no—
1101C2×Q8—24no—
1102C2×Q8—28no—
1103C2×Q8—24no—
1104C2×Q8—42no—
1105C2×Q8—44no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—42no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—416no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—41no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—816no—
1171C2×D4—832no—
1172C2×D4—816no—
1173C2×D4H(5,𝔽2)18yes—
1174C2×D42−1+414yes—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4H(5,𝔽2)14yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—44no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4H(5,𝔽2)14yes—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C23—21no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—24no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—48no—
1420C23—416no—
1421C23—88no—
1422C23—88no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—162no—
1428C23—162no—
1429C23—164no—
1430C23—164no—
1431C23C2×H(5,𝔽2)14yes—
1432C23C2×H(5,𝔽2)12yes—
1433C23C2×H(5,𝔽2)14yes—
1434C23C2×2−1+414yes—
1435C23C2611yescharacteristic
1436Q8—48no—
1437Q8—88no—
1438Q8—84no—
1439D4—216no—
1440D4—28no—
1441D4—48no—
1442D4—48no—
1443D4—416no—
1444D4—416no—
1445D4—44no—
1446D4—48no—
1447D4—44no—
1448D4—48no—
1449D4—44no—
1450D4—48no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—84no—
1459D4—162no—
1460D4—164no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—28no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—416no—
1521C2×C4—48no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—88no—
1528C2×C4—84no—
1529C2×C4—88no—
1530C2×C4—88no—
1531C2×C4—162no—
1532C2×C4—162no—
1533C2×C4—162no—
1534C2×C4—164no—
1535C2×C4—164no—
1536C2×C4C2×H(5,𝔽2)12yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×H(5,𝔽2)12yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4#58514yes—
1543C22—22no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—24no—
1548C22—28no—
1549C22—24no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—44no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—44no—
1570C22—42no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—42no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—168no—
1580C22—1616no—
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C22×H(5,𝔽2)12yes—
1584C22C22×2−1+411yescharacteristic
1585C22C2×#58512yes—
1586C4—22no—
1587C4—24no—
1588C4—24no—
1589C4—24no—
1590C4—42no—
1591C4—42no—
1592C4—44no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—44no—
1597C4—44no—
1598C4—42no—
1599C4—41no—
1600C4—42no—
1601C4—41no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—42no—
1607C4—44no—
1608C4#353614yes—
1609C2—44no—
1610C2—42no—
1611C2—44no—
1612C2—44no—
1613C2—82no—
1614C2—84no—
1615C2C2×#353611yescharacteristic
1616C2#6281812yes—
1617C2#6301111yescharacteristic
1618C2#6301312yes—
1619C2#6303511yescharacteristic
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. #59808C2semidirect
2. #59455C2semidirect
3. #58267C2semidirect
4. #56439C2semidirect
5. #53492C2semidirect
6. #51522C2semidirect
7. #48559C2semidirect
8. #48406C2semidirect
9. #48083C2semidirect
10. #45688C2semidirect
11. #45610C2semidirect
12. #45352C2semidirect
13. #45103C2semidirect
14. #44878C2semidirect
15. #44305C2semidirect
16. #43079C2semidirect
17. #42952C2semidirect
18. #42506C2semidirect
19. #40044C2semidirect
20. #39359C2semidirect
21. #39221C2semidirect
22. #38962C2semidirect
23. #37289C2semidirect
24. #36361C2semidirect
25. #36258C2semidirect
26. #35730C2semidirect
27. #35691C2semidirect
28. #35529C2semidirect
29. #34976C2semidirect
30. C2×#553C22semidirect
31. C2×#547C22semidirect
32. C2×#547C22semidirect
33. C2×#546C22semidirect
34. C2×#546C22semidirect
37. C2×#544C22semidirect
38. C2×#537C22semidirect
40. C2×C4×#41C22semidirect
41. #2856C22semidirect
42. #2854C22semidirect
43. #2854C22semidirect
44. #2854C22semidirect
45. #2851C22semidirect
46. #2836C22semidirect
47. #2834C22semidirect
48. #2829C22semidirect
49. #2823C22semidirect
50. #2801C22semidirect
51. #2795C22semidirect
52. #2792C22semidirect
53. #2788C22semidirect
54. #2785C22semidirect
55. #2784C22semidirect
56. #2782C22semidirect
57. #2781C22semidirect
58. #2780C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2768C22semidirect
62. #2765C22semidirect
63. #2750C22semidirect
64. #2748C22semidirect
65. #2743C22semidirect
66. #2735C22semidirect
67. #2729C22semidirect
68. #2728C22semidirect
69. #2710C22semidirect
70. #2710C22semidirect
71. #2708C22semidirect
72. #2707C22semidirect
73. #2706C22semidirect
74. #2706C22semidirect
75. #2701C22semidirect
76. #2701C22semidirect
77. #2700C22semidirect
78. #2697C22semidirect
79. #2696C22semidirect
80. #2693C22semidirect
81. #2692C22semidirect
82. #2691C22semidirect
83. #2685C22semidirect
84. #2683C22semidirect
85. #2682C22semidirect
86. #2682C22semidirect
87. #2681C22semidirect
88. #2681C22semidirect
89. #2681C22semidirect
90. #2681C22semidirect
91. #2680C22semidirect
92. #2680C22semidirect
93. #2678C22semidirect
94. #2676C22semidirect
95. #2675C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2653C22semidirect
103. #2649C22semidirect
104. #2638C22semidirect
105. #2638C22semidirect
106. #2636C22semidirect
107. #2628C22semidirect
108. #2626C22semidirect
110. #2618C22semidirect
112. #2609C22semidirect
113. #2609C22semidirect
114. #2609C22semidirect
115. #2587C22semidirect
116. #2584C22semidirect
117. #2582C22semidirect
118. #2580C22semidirect
119. #2566C22semidirect
120. #2566C22semidirect
121. #2566C22semidirect
123. #2563C22semidirect
124. #2562C22semidirect
125. #2561C22semidirect
126. #2558C22semidirect
127. #2549C22semidirect
128. #2548C22semidirect
130. #2542C22semidirect
133. #2538C22semidirect
134. #2537C22semidirect
135. #2537C22semidirect
138. #2534C22semidirect
139. #2513C22semidirect
140. #2508C22semidirect
141. #2507C22semidirect
142. #2494C22semidirect
143. #2491C22semidirect
144. #2490C22semidirect
145. #2490C22semidirect
146. #2487C22semidirect
147. #2486C22semidirect
148. #2485C22semidirect
149. #2485C22semidirect
150. #2485C22semidirect
151. #2479C22semidirect
152. #2472C22semidirect
153. #2470C22semidirect
154. #2469C22semidirect
155. #2464C22semidirect
156. #2461C22semidirect
157. #2461C22semidirect
158. #2457C22semidirect
159. #2456C22semidirect
160. #2456C22semidirect
162. #2455C22semidirect
165. #2454C22semidirect
166. #2454C22semidirect
168. #2452C22semidirect
169. #2452C22semidirect
170. #2450C22semidirect
171. #2449C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2443C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
179. #2437C22semidirect
180. #2437C22semidirect
181. #2437C22semidirect
182. #2437C22semidirect
183. #2432C22semidirect
184. #2430C22semidirect
185. #2430C22semidirect
186. #2430C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2420C22semidirect
197. #2418C22semidirect
198. #2418C22semidirect
199. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
206. #2414C22semidirect
207. #2411C22semidirect
208. #2411C22semidirect
214. #2408C22semidirect
216. #2407C22semidirect
217. #2407C22semidirect
218. #2405C22semidirect
219. #2405C22semidirect
220. #2404C22semidirect
221. #2404C22semidirect
223. #2392C22semidirect
224. #2392C22semidirect
225. #2388C22semidirect
227. #2377C22semidirect
228. #2377C22semidirect
229. #2369C22semidirect
232. #2361C22semidirect
233. #2359C22semidirect
234. #2357C22semidirect
235. #2352C22semidirect
237. #2349C22semidirect
238. D4×C4⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2335C22semidirect
243. #2324C22semidirect
244. #2321C22semidirect
245. #2317C22semidirect
246. #2315C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. #2296C22semidirect
257. C2×#389C22semidirect
258. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598082
#594552
#582672
#564392
#534922
#515222
#485592
#484062
#480832
#456882
#456102
#453522
#451032
#448782
#443052
#430792
#429522
#425062
#400442
#393592
#392212
#389622
#372892
#363612
#362582
#357302
#356912
#355292
#349762