Finite Group Databasebeta

← #8402578

Subgroups — #8402578

Order 512.

5657 conjugacy classes of subgroups.

The subgroup lattice has 1647 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59414C212yesmaximal, complemented
2#59046C212yesmaximal, complemented
3#54912C214yesmaximal, complemented
4#54406C214yesmaximal, complemented
5#50063C214yesmaximal, complemented
6#47951C214yesmaximal, complemented
7#47884C214yesmaximal, complemented
8#47874C214yesmaximal, complemented
9#45995C212yesmaximal, complemented
10#45602C212yesmaximal, complemented
11#45421C211yesmaximal, characteristic, complemented
12#44947C211yesmaximal, characteristic, complemented
13#44937C211yesmaximal, characteristic, complemented
14#44936C211yesmaximal, characteristic, complemented
15#44244C214yesmaximal, complemented
16#43020C214yesmaximal, complemented
17#42425C211yesmaximal, characteristic, complemented
18#42424C211yesmaximal, characteristic, complemented
19#40099C212yesmaximal, complemented
20#39405C212yesmaximal, complemented
21#39137C212yesmaximal, complemented
22#38962C212yesmaximal, complemented
23#37321C211yesmaximal, characteristic, complemented
24#36573C211yesmaximal, characteristic, complemented
25#36457C211yesmaximal, characteristic, complemented
26#36260C211yesmaximal, characteristic, complemented
27#36135C211yesmaximal, characteristic, complemented
28#35748C211yesmaximal, characteristic, complemented
29#35728C211yesmaximal, characteristic, complemented
30#35534C211yesmaximal, characteristic, complemented
31#34968C211yesmaximal, characteristic, complemented
32C2×#562C2214yescomplemented
33C2×#559C2212yescomplemented
34C2×Q82C2211yescharacteristic, complemented
35C2×#550C2211yescharacteristic
36C2×#547C2211yescharacteristic
37C2×#546C2214yes—
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#540C2211yescharacteristic, complemented
41C2×#538C2214yescomplemented
42C2×#529C2212yescomplemented
43C2×#520C2211yescharacteristic
44#2859C2211yescharacteristic, complemented
45#2859C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2212yescomplemented
48#2856C2212yes—
49#2851C2212yescomplemented
50#2830C2214yescomplemented
51#2820C2214yescomplemented
52#2814C2212yescomplemented
53#2813C2212yescomplemented
54#2796C2214yescomplemented
55#2784C2214yescomplemented
56#2780C2214yescomplemented
57#2777C2214yescomplemented
58#2748C2214yescomplemented
59#2748C2214yescomplemented
60#2740C2214yescomplemented
61#2732C2214yescomplemented
62#2729C2214yescomplemented
63#2721C2214yescomplemented
64#2718C2214yescomplemented
65#2715C2214yescomplemented
66#2714C2214yescomplemented
67#2714C2214yescomplemented
68#2710C2214yescomplemented
69#2708C2214yescomplemented
70#2706C2214yescomplemented
71#2706C2214yescomplemented
72#2706C2214yescomplemented
73#2706C2214yescomplemented
74#2705C2214yescomplemented
75#2705C2214yescomplemented
76#2705C2214yescomplemented
77#2705C2214yescomplemented
78#2696C2214yescomplemented
79#2694C2214yescomplemented
80#2693C2214yescomplemented
81#2692C2214yescomplemented
82#2692C2214yescomplemented
83#2688C2214yes—
84#2686C2214yescomplemented
85#2682C2214yescomplemented
86#2682C2214yescomplemented
87#2682C2214yescomplemented
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2676C2214yescomplemented
91#2675C2214yescomplemented
92#2674C2214yescomplemented
93#2672C2214yescomplemented
94#2672C2214yescomplemented
95#2672C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2668C2214yes—
102#2667C2214yescomplemented
103#2656C2212yescomplemented
104#2639C2212yescomplemented
105#2631C2214yescomplemented
106#2628C2212yescomplemented
107#2628C2211yescharacteristic, complemented
108#2626C2214yescomplemented
109#2620C2214yescomplemented
110#2619C2211yescharacteristic
111#2618C2212yes—
112#2615C2212yes—
113#2615C2212yescomplemented
114#2580C2212yes—
115#2580C2211yescharacteristic
116#2580C2212yescomplemented
117#2580C2214yescomplemented
118#2580C2211yescharacteristic, complemented
119#2575C2214yescomplemented
120#2570C2212yescomplemented
121#2566C2211yescharacteristic
122#2565C2211yescharacteristic, complemented
123#2564C2214yescomplemented
124#2563C2212yescomplemented
125#2563C2211yescharacteristic, complemented
126#2557C2214yescomplemented
127#2553C2214yescomplemented
128#2553C2214yescomplemented
129#2548C2211yescharacteristic
130#2548C2212yescomplemented
131#2548C2211yescharacteristic, complemented
132#2543C2212yes—
133#2542C2211yescharacteristic
134#2542C2212yescomplemented
135#2541C2211yescharacteristic
136#2541C2211yescharacteristic
137#2541C2212yescomplemented
138#2540C2214yes—
139#2540C2214yescomplemented
140#2539C2214yes—
141#2539C2214yes—
142#2539C2214yescomplemented
143#2539C2214yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2537C2214yescomplemented
147#2536C2211yescharacteristic
148#2535C2211yescharacteristic
149#2535C2212yescomplemented
150#2525C2212yescomplemented
151#2521C2212yescomplemented
152#2520C2212yescomplemented
153#2515C2212yescomplemented
154#2512C2212yescomplemented
155#2504C2211yescharacteristic, complemented
156#2501C2212yes—
157#2501C2211yescharacteristic, complemented
158#2491C2214yescomplemented
159#2491C2214yescomplemented
160#2491C2212yescomplemented
161#2491C2214yescomplemented
162#2490C2212yescomplemented
163#2478C2214yescomplemented
164#2471C2214yescomplemented
165#2471C2214yescomplemented
166#2468C2212yes—
167#2465C2212yescomplemented
168#2464C2214yescomplemented
169#2464C2214yescomplemented
170#2461C2212yes—
171#2461C2214yescomplemented
172#2458C2212yescomplemented
173#2458C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yes—
178#2454C2212yes—
179#2454C2214yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2454C2214yescomplemented
184#2452C2212yes—
185#2452C2214yescomplemented
186#2450C2214yescomplemented
187#2448C2212yescomplemented
188#2445C2212yescomplemented
189#2443C2214yescomplemented
190#2442C2212yescomplemented
191#2440C2214yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2437C2214yescomplemented
195#2437C2214yescomplemented
196#2433C2212yes—
197#2433C2212yes—
198#2432C2214yes—
199#2431C2211yescharacteristic
200#2431C2211yescharacteristic
201#2430C2212yes—
202#2430C2212yescomplemented
203#2428C2212yes—
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2426C2212yes—
208#2426C2212yescomplemented
209#2425C2214yescomplemented
210#2424C2214yes—
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2423C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2420C2212yes—
217#2418C2214yescomplemented
218#2416C2212yes—
219#2416C2212yescomplemented
220#2414C2214yescomplemented
221#2412C2214yescomplemented
222#2411C2214yes—
223#2410C2214yes—
224#2408C2212yes—
225#2404C2214yes—
226#2399C2211yescharacteristic, complemented
227#2398C2211yescharacteristic
228#2396C2211yescharacteristic, complemented
229#2396C2212yescomplemented
230#2392C2211yescharacteristic
231C2×#394C2212yes—
232#2377C2214yescomplemented
233#2366C2212yes—
234#2360C2212yescomplemented
235#2359C2214yescomplemented
236#2358C2214yescomplemented
237#2358C2214yescomplemented
238#2351C2211yescharacteristic, complemented
239Q8×C4⋊C4C2212yescomplemented
240#2349C2211yescharacteristic
241#2349C2214yescomplemented
242#2349C2211yescharacteristic, complemented
243#2349C2211yescharacteristic, complemented
244#2341C2212yes—
245#2341C2214yescomplemented
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248#2335C2214yescomplemented
249#2331C2211yescharacteristic, complemented
250#2328C2211yescharacteristic
251#2328C2211yescharacteristic
252#2326C2211yescharacteristic, complemented
253#2324C2214yescomplemented
254#2315C2214yescomplemented
255C4×#127C2212yes—
256C4×#127C2211yescharacteristic
257C4×#126C2212yescomplemented
258C4×#124C2212yescomplemented
259C4×#124C2212yescomplemented
260C4×#124C2211yescharacteristic, complemented
261C4×C22⋊Q8C2212yescomplemented
262C4×#123C2212yescomplemented
263#2298C2211yescharacteristic, complemented
264C2×#390C2212yes—
265C42×Q8C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×D4C2312yes—
271C23×D4C2312yes—
272#562—416no—
273#559—48no—
274Q82—44no—
275#550—44no—
276#547—44no—
277#546—416no—
278#546—48no—
279D42—44no—
280#540—44no—
281#538—416no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2314yes—
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292#529—48no—
293C2×#126C2312yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#125C2314yes—
297C2×#125C2311yescharacteristic
298C2×#125C2312yes—
299C2×#124C2311yescharacteristic
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#520—44no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C42C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2311yescharacteristic
406#400C2312yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2312yes—
414#399C2312yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2311yescharacteristic
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2311yescharacteristic
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2311yescharacteristic
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2311yescharacteristic
467#395C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2311yescharacteristic
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#393C2312yes—
502#393C2311yescharacteristic
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#392C2311yescharacteristic
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2314yes—
681#383C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#381C2314yes—
691#381C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#379C2314yes—
711#379C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2311yescharacteristic
739C4×C22⋊C4C2312yes—
740#376C2311yescharacteristic
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C43C2312yes—
745C43C2311yescharacteristic
746C25C2414yes—
747C2×#41—24no—
748C2×#41—24no—
749C2×#41—48no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—48no—
754C22×Q8C2411yescharacteristic
755C22×Q8C2411yescharacteristic
756C22×Q8C2412yes—
757C22×Q8C2412yes—
758C22×Q8C2414yes—
759C22×D4—28no—
760C22×D4—44no—
761C22×D4—44no—
762C22×D4—44no—
763C22×D4—48no—
764C22×D4C2411yescharacteristic
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C4⋊Q8—24no—
805C4⋊Q8—44no—
806C4⋊Q8—44no—
807C4⋊Q8—48no—
808#127—24no—
809#127—24no—
810#127—24no—
811#127—42no—
812#127—44no—
813#127—44no—
814#126—28no—
815#126—48no—
816#126—48no—
817#125—44no—
818#125—42no—
819#125—48no—
820#124—24no—
821#124—28no—
822#124—24no—
823#124—28no—
824#124—48no—
825#124—48no—
826#124—48no—
827#124—48no—
828#124—48no—
829#123—216no—
830#123—216no—
831#123—44no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—48no—
839#123—44no—
840#123—44no—
841#123—48no—
842#123—48no—
843C22⋊Q8—28no—
844C22⋊Q8—48no—
845C22⋊Q8—44no—
846C22⋊Q8—48no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—48no—
850C22⋊Q8—44no—
851C22⋊Q8—48no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—44no—
865#121—48no—
866#121—42no—
867#121—42no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—48no—
875#121—48no—
876#120—216no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—48no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—48no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910#117—24no—
911#117—44no—
912#117—48no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C22⋊C4—48no—
970C2×C22⋊C4—48no—
971C2×C22⋊C4—48no—
972C2×C22⋊C4—48no—
973C2×C22⋊C4—48no—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—44no—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111C24—28no—
1112C24—28no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24C2514yes—
1119C24C2512yes—
1120C24C2511yescharacteristic
1121C24C2512yes—
1122C24C2512yes—
1123C24C2512yes—
1124#41—416no—
1125#41—816no—
1126#41—816no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—24no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—42no—
1134C2×Q8—44no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8H(5,𝔽2)14yes—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—28no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—28no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—816no—
1205C2×D4—816no—
1206C2×D42−1+414yes—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—28no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4H(5,𝔽2)18yes—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—28no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42H(5,𝔽2)14yes—
1416C23—22no—
1417C23—24no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—21no—
1432C23—24no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—21no—
1438C23—24no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—416no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—164no—
1454C23—164no—
1455C23C2×H(5,𝔽2)14yes—
1456C23C2×2−1+414yes—
1457C23C2611yescharacteristic
1458Q8—28no—
1459Q8—28no—
1460Q8—84no—
1461Q8—84no—
1462Q8—164no—
1463D4—28no—
1464D4—28no—
1465D4—416no—
1466D4—48no—
1467D4—44no—
1468D4—44no—
1469D4—48no—
1470D4—88no—
1471D4—84no—
1472D4—84no—
1473D4—88no—
1474D4—88no—
1475D4—88no—
1476D4—84no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—164no—
1481D4—164no—
1482D4—162no—
1483D4—162no—
1484D4—162no—
1485D4—162no—
1486D4—164no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4—164no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4—162no—
1560C2×C4—162no—
1561C2×C4C2×H(5,𝔽2)14yes—
1562C2×C4C2×H(5,𝔽2)12yes—
1563C2×C4C2×H(5,𝔽2)14yes—
1564C2×C4C2×H(5,𝔽2)12yes—
1565C2×C4C2×H(5,𝔽2)14yes—
1566C2×C4C2×H(5,𝔽2)12yes—
1567C2×C4C2×H(5,𝔽2)12yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58514yes—
1570C22—24no—
1571C22—28no—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—41no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—44no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—44no—
1603C22—42no—
1604C22—1616no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C22×H(5,𝔽2)12yes—
1608C22C22×2−1+411yescharacteristic
1609C22C2×#58512yes—
1610C4—24no—
1611C4—24no—
1612C4—24no—
1613C4—22no—
1614C4—24no—
1615C4—22no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4#353614yes—
1635C2—44no—
1636C2—44no—
1637C2—81no—
1638C2—82no—
1639C2—82no—
1640C2—84no—
1641C2C2×#353611yescharacteristic
1642C2#6282411yescharacteristic
1643C2#6283211yescharacteristic
1644C2#6301312yes—
1645C2#6301412yes—
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. #59414C2semidirect
2. #59046C2semidirect
3. #54912C2semidirect
4. #54406C2semidirect
5. #50063C2semidirect
6. #47951C2semidirect
7. #47884C2semidirect
8. #47874C2semidirect
9. #45995C2semidirect
10. #45602C2semidirect
11. #45421C2semidirect
12. #44947C2semidirect
13. #44937C2semidirect
14. #44936C2semidirect
15. #44244C2semidirect
16. #43020C2semidirect
17. #42425C2semidirect
18. #42424C2semidirect
19. #40099C2semidirect
20. #39405C2semidirect
21. #39137C2semidirect
22. #38962C2semidirect
23. #37321C2semidirect
24. #36573C2semidirect
25. #36457C2semidirect
26. #36260C2semidirect
27. #36135C2semidirect
28. #35748C2semidirect
29. #35728C2semidirect
30. #35534C2semidirect
31. #34968C2semidirect
32. C2×#562C22semidirect
33. C2×#559C22semidirect
34. C2×Q82C22semidirect
40. C2×#540C22semidirect
41. C2×#538C22semidirect
42. C2×#529C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
47. #2858C22semidirect
49. #2851C22semidirect
50. #2830C22semidirect
51. #2820C22semidirect
52. #2814C22semidirect
53. #2813C22semidirect
54. #2796C22semidirect
55. #2784C22semidirect
56. #2780C22semidirect
57. #2777C22semidirect
58. #2748C22semidirect
59. #2748C22semidirect
60. #2740C22semidirect
61. #2732C22semidirect
62. #2729C22semidirect
63. #2721C22semidirect
64. #2718C22semidirect
65. #2715C22semidirect
66. #2714C22semidirect
67. #2714C22semidirect
68. #2710C22semidirect
69. #2708C22semidirect
70. #2706C22semidirect
71. #2706C22semidirect
72. #2706C22semidirect
73. #2706C22semidirect
74. #2705C22semidirect
75. #2705C22semidirect
76. #2705C22semidirect
77. #2705C22semidirect
78. #2696C22semidirect
79. #2694C22semidirect
80. #2693C22semidirect
81. #2692C22semidirect
82. #2692C22semidirect
84. #2686C22semidirect
85. #2682C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2676C22semidirect
91. #2675C22semidirect
92. #2674C22semidirect
93. #2672C22semidirect
94. #2672C22semidirect
95. #2672C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
102. #2667C22semidirect
103. #2656C22semidirect
104. #2639C22semidirect
105. #2631C22semidirect
106. #2628C22semidirect
107. #2628C22semidirect
108. #2626C22semidirect
109. #2620C22semidirect
113. #2615C22semidirect
116. #2580C22semidirect
117. #2580C22semidirect
118. #2580C22semidirect
119. #2575C22semidirect
120. #2570C22semidirect
122. #2565C22semidirect
123. #2564C22semidirect
124. #2563C22semidirect
125. #2563C22semidirect
126. #2557C22semidirect
127. #2553C22semidirect
128. #2553C22semidirect
130. #2548C22semidirect
131. #2548C22semidirect
134. #2542C22semidirect
137. #2541C22semidirect
139. #2540C22semidirect
142. #2539C22semidirect
143. #2539C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2537C22semidirect
149. #2535C22semidirect
150. #2525C22semidirect
151. #2521C22semidirect
152. #2520C22semidirect
153. #2515C22semidirect
154. #2512C22semidirect
155. #2504C22semidirect
157. #2501C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2490C22semidirect
163. #2478C22semidirect
164. #2471C22semidirect
165. #2471C22semidirect
167. #2465C22semidirect
168. #2464C22semidirect
169. #2464C22semidirect
171. #2461C22semidirect
172. #2458C22semidirect
173. #2458C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
185. #2452C22semidirect
186. #2450C22semidirect
187. #2448C22semidirect
188. #2445C22semidirect
189. #2443C22semidirect
190. #2442C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2437C22semidirect
195. #2437C22semidirect
202. #2430C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
208. #2426C22semidirect
209. #2425C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
217. #2418C22semidirect
219. #2416C22semidirect
220. #2414C22semidirect
221. #2412C22semidirect
226. #2399C22semidirect
228. #2396C22semidirect
229. #2396C22semidirect
232. #2377C22semidirect
234. #2360C22semidirect
235. #2359C22semidirect
236. #2358C22semidirect
237. #2358C22semidirect
238. #2351C22semidirect
239. Q8×C4⋊C4C22semidirect
241. #2349C22semidirect
242. #2349C22semidirect
243. #2349C22semidirect
245. #2341C22semidirect
248. #2335C22semidirect
249. #2331C22semidirect
252. #2326C22semidirect
253. #2324C22semidirect
254. #2315C22semidirect
257. C4×#126C22semidirect
258. C4×#124C22semidirect
259. C4×#124C22semidirect
260. C4×#124C22semidirect
261. C4×C22⋊Q8C22semidirect
262. C4×#123C22semidirect
263. #2298C22semidirect
265. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594142
#590462
#549122
#544062
#500632
#479512
#478842
#478742
#459952
#456022
#454212
#449472
#449372
#449362
#442442
#430202
#424252
#424242
#400992
#394052
#391372
#389622
#373212
#365732
#364572
#362602
#361352
#357482
#357282
#355342
#349682