Finite Group Databasebeta

← #8418675

Subgroups — #8418675

Order 512.

5292 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57979C214yesmaximal, complemented
2#57956C212yesmaximal, complemented
3#57398C214yesmaximal, complemented
4#57156C214yesmaximal, complemented
5#55098C214yesmaximal, complemented
6#54816C214yesmaximal, complemented
7#53489C212yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#52984C212yesmaximal, complemented
10#52599C214yesmaximal, complemented
11#52410C212yesmaximal, complemented
12#52339C212yesmaximal, complemented
13#45399C212yesmaximal, complemented
14#45367C212yesmaximal, complemented
15#44929C212yesmaximal, complemented
16#44877C212yesmaximal, complemented
17#42976C212yesmaximal, complemented
18#42975C211yesmaximal, characteristic, complemented
19#42761C212yesmaximal, complemented
20#42540C212yesmaximal, complemented
21#42475C212yesmaximal, complemented
22#42475C211yesmaximal, characteristic, complemented
23#38034C212yesmaximal, complemented
24#38026C212yesmaximal, complemented
25#37289C211yesmaximal, characteristic, complemented
26#36684C211yesmaximal, characteristic, complemented
27#36011C211yesmaximal, characteristic, complemented
28#35728C211yesmaximal, characteristic, complemented
29#35531C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#546C2212yescomplemented
32C2×D42C2212yescomplemented
33C2×D42C2212yescomplemented
34C2×D42C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic
36C2×#529C2212yescomplemented
37C2×#520C2211yescharacteristic, complemented
38#2854C2212yescomplemented
39#2837C2214yescomplemented
40#2837C2214yescomplemented
41#2832C2214yescomplemented
42#2829C2214yescomplemented
43#2829C2214yescomplemented
44#2828C2214yescomplemented
45#2828C2214yescomplemented
46#2828C2212yescomplemented
47#2827C2214yescomplemented
48#2826C2214yescomplemented
49#2824C2214yescomplemented
50#2823C2212yescomplemented
51#2823C2211yescharacteristic, complemented
52#2823C2211yescharacteristic, complemented
53#2822C2211yescharacteristic, complemented
54#2820C2212yescomplemented
55#2819C2211yescharacteristic, complemented
56#2814C2212yescomplemented
57#2814C2212yescomplemented
58#2813C2212yescomplemented
59#2813C2212yescomplemented
60#2812C2214yescomplemented
61#2812C2212yescomplemented
62#2812C2214yescomplemented
63#2803C2214yescomplemented
64#2795C2214yescomplemented
65#2795C2212yescomplemented
66#2785C2212yescomplemented
67#2782C2212yescomplemented
68#2756C2214yescomplemented
69#2756C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2750C2214yescomplemented
74#2749C2214yescomplemented
75#2749C2214yescomplemented
76#2743C2214yescomplemented
77#2738C2214yescomplemented
78#2736C2212yescomplemented
79#2735C2214yescomplemented
80#2730C2214yescomplemented
81#2723C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2706C2214yescomplemented
87#2705C2214yescomplemented
88#2703C2214yescomplemented
89#2699C2214yescomplemented
90#2699C2212yescomplemented
91#2697C2214yescomplemented
92#2697C2214yescomplemented
93#2697C2214yescomplemented
94#2696C2214yescomplemented
95#2691C2214yescomplemented
96#2687C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2684C2214yescomplemented
105#2684C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2212yescomplemented
108#2679C2214yescomplemented
109#2679C2214yescomplemented
110#2679C2212yescomplemented
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2678C2214yescomplemented
114#2678C2214yescomplemented
115#2678C2214yescomplemented
116#2678C2214yescomplemented
117#2676C2214yescomplemented
118#2671C2214yescomplemented
119#2670C2212yescomplemented
120#2670C2214yescomplemented
121#2670C2214yescomplemented
122#2668C2214yescomplemented
123#2662C2214yescomplemented
124#2662C2214yescomplemented
125#2651C2214yescomplemented
126#2651C2214yescomplemented
127#2648C2214yescomplemented
128#2639C2214yescomplemented
129#2636C2214yescomplemented
130#2635C2212yescomplemented
131#2628C2211yescharacteristic, complemented
132#2625C2212yescomplemented
133#2624C2212yescomplemented
134#2620C2212yescomplemented
135#2619C2212yes—
136#2619C2211yescharacteristic
137#2618C2212yescomplemented
138#2613C2214yescomplemented
139#2613C2214yescomplemented
140#2613C2214yescomplemented
141#2595C2214yescomplemented
142#2593C2212yescomplemented
143#2592C2212yescomplemented
144#2591C2212yescomplemented
145#2580C2212yescomplemented
146#2568C2211yescharacteristic, complemented
147#2559C2214yescomplemented
148#2558C2214yescomplemented
149#2554C2214yescomplemented
150#2554C2214yescomplemented
151#2554C2214yescomplemented
152#2548C2212yescomplemented
153#2548C2211yescharacteristic, complemented
154#2544C2212yescomplemented
155#2543C2212yescomplemented
156#2540C2212yescomplemented
157#2539C2214yescomplemented
158#2538C2212yescomplemented
159#2536C2211yescharacteristic, complemented
160#2536C2211yescharacteristic, complemented
161#2534C2214yescomplemented
162#2515C2214yescomplemented
163#2513C2214yescomplemented
164#2513C2212yescomplemented
165#2512C2212yescomplemented
166#2512C2214yescomplemented
167#2512C2212yescomplemented
168#2509C2212yescomplemented
169#2508C2212yescomplemented
170#2504C2212yescomplemented
171#2501C2212yescomplemented
172#2500C2212yescomplemented
173#2500C2212yescomplemented
174#2500C2212yescomplemented
175#2496C2212yescomplemented
176#2491C2212yescomplemented
177#2485C2212yescomplemented
178#2484C2212yescomplemented
179#2480C2214yescomplemented
180#2476C2214yescomplemented
181#2474C2214yescomplemented
182#2472C2214yescomplemented
183#2472C2214yescomplemented
184#2472C2214yescomplemented
185#2461C2214yescomplemented
186#2459C2214yescomplemented
187#2452C2212yescomplemented
188#2448C2212yescomplemented
189#2448C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2435C2214yescomplemented
195#2435C2212yescomplemented
196#2433C2212yes—
197#2433C2212yes—
198#2428C2212yes—
199#2427C2212yescomplemented
200#2426C2212yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2419C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2405C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2214yescomplemented
230#2403C2212yescomplemented
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2395C2212yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2392C2211yescharacteristic, complemented
238#2392C2211yescharacteristic, complemented
239C2×#394C2212yescomplemented
240#2366C2212yescomplemented
241#2363C2212yescomplemented
242#2362C2212yescomplemented
243#2357C2211yescharacteristic, complemented
244#2354C2212yescomplemented
245#2352C2212yescomplemented
246#2349C2211yescharacteristic, complemented
247#2347C2212yescomplemented
248D4×C22⋊C4C2212yescomplemented
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2324C2212yescomplemented
252#2317C2211yescharacteristic, complemented
253#2309C2212yescomplemented
254#2309C2212yescomplemented
255#2309C2211yescharacteristic, complemented
256#2297C2211yescharacteristic, complemented
257C2×#390C2211yescharacteristic, complemented
258#2285C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C23×D4C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2314yes—
266#555—44no—
267#546—48no—
268D42—48no—
269D42—44no—
270D42—48no—
271#535—44no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×#127C2312yes—
274C2×#127C2311yescharacteristic
275C2×#127C2312yes—
276#529—48no—
277C2×#126C2312yes—
278C2×#126C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#123C2314yes—
290C2×#123C2312yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334#520—44no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C42C2311yescharacteristic
367#400C2312yes—
368#400C2312yes—
369#400C2312yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#399C2312yes—
378#399C2312yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2312yes—
385#398C2311yescharacteristic
386#398C2312yes—
387#398C2311yescharacteristic
388#398C2312yes—
389#398C2312yes—
390#398C2312yes—
391#398C2312yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2312yes—
396#398C2314yes—
397#398C2312yes—
398#397C2312yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2311yescharacteristic
417#397C2311yescharacteristic
418#397C2314yes—
419#397C2314yes—
420#396C2312yes—
421#396C2312yes—
422#396C2312yes—
423#396C2312yes—
424#396C2312yes—
425#396C2312yes—
426#396C2312yes—
427#396C2312yes—
428#396C2312yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2312yes—
442#395C2312yes—
443#395C2312yes—
444#394C2311yescharacteristic
445#394C2311yescharacteristic
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2312yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2311yescharacteristic
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2311yescharacteristic
533#392C2314yes—
534#392C2314yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
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#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#383C2314yes—
665#382C2311yescharacteristic
666#382C2311yescharacteristic
667#382C2312yes—
668#382C2312yes—
669#382C2311yescharacteristic
670#382C2311yescharacteristic
671#382C2314yes—
672#381C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#379C2312yes—
687#379C2314yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C2×#95C2312yes—
720C25C2414yes—
721C25C2412yes—
722C25C2414yes—
723C2×#41—24no—
724C2×#41—24no—
725C2×#41—42no—
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×Q8C2412yes—
729C22×D4—28no—
730C22×D4—24no—
731C22×D4—42no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—42no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—48no—
740C22×D4—48no—
741C22×D4—84no—
742C22×D4—84no—
743C22×D4—84no—
744C22×D4—84no—
745C22×D4—84no—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C4⋊Q8—42no—
784#127—28no—
785#127—42no—
786#127—44no—
787#126—44no—
788#126—44no—
789#126—84no—
790#126—84no—
791#126—84no—
792#125—44no—
793#124—44no—
794#124—44no—
795#124—44no—
796#124—48no—
797#124—84no—
798#124—84no—
799#123—48no—
800#123—44no—
801#123—44no—
802#123—84no—
803#123—84no—
804#123—84no—
805#123—84no—
806#123—84no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810C22⋊Q8—84no—
811C22⋊Q8—84no—
812#121—28no—
813#121—28no—
814#121—48no—
815#121—48no—
816#121—48no—
817#121—44no—
818#121—44no—
819#121—44no—
820#121—44no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—84no—
828#121—84no—
829#120—48no—
830#120—48no—
831#120—48no—
832#120—48no—
833#120—48no—
834#120—48no—
835#120—48no—
836#120—84no—
837#120—84no—
838#120—84no—
839#120—84no—
840#120—84no—
841#120—84no—
842#120—84no—
843#120—84no—
844C4×Q8—44no—
845C4×Q8—42no—
846C4×Q8—42no—
847C4×D4—24no—
848C4×D4—24no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—42no—
856C4×D4—44no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—84no—
861#117—42no—
862#117—44no—
863#117—44no—
864#117—42no—
865#117—44no—
866#117—44no—
867#117—42no—
868#117—44no—
869#117—44no—
870C2×C4⋊C4—42no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—84no—
921C2×C22⋊C4—84no—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C42—24no—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018#95C2411yescharacteristic
1019#95C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2411yescharacteristic
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2411yescharacteristic
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2411yescharacteristic
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062C24—28no—
1063C24—24no—
1064C24—44no—
1065C24—42no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—42no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2514yes—
1084C24C2514yes—
1085C24C2511yescharacteristic
1086C24C2512yes—
1087#41—416no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—22no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—42no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—22no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—22no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—88no—
1170C2×D4—816no—
1171C2×D4—816no—
1172C2×D4—816no—
1173C2×D4—832no—
1174C2×D4—832no—
1175C2×D4H(5,𝔽2)14yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4H(5,𝔽2)14yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C23—21no—
1372C23—22no—
1373C23—21no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—24no—
1393C23—24no—
1394C23—22no—
1395C23—24no—
1396C23—24no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—24no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—84no—
1408C23—88no—
1409C23—88no—
1410C23—88no—
1411C23—88no—
1412C23—88no—
1413C23—88no—
1414C23—88no—
1415C23—88no—
1416C23—88no—
1417C23—88no—
1418C23—162no—
1419C23—162no—
1420C23—164no—
1421C23—164no—
1422C23—164no—
1423C23—164no—
1424C23—164no—
1425C23—164no—
1426C23C2×H(5,𝔽2)14yes—
1427C23C2×H(5,𝔽2)12yes—
1428C23C2611yescharacteristic
1429Q8—44no—
1430Q8—84no—
1431Q8—162no—
1432D4—28no—
1433D4—48no—
1434D4—48no—
1435D4—44no—
1436D4—48no—
1437D4—48no—
1438D4—48no—
1439D4—84no—
1440D4—88no—
1441D4—84no—
1442D4—88no—
1443D4—88no—
1444D4—88no—
1445D4—88no—
1446D4—82no—
1447D4—84no—
1448D4—88no—
1449D4—84no—
1450D4—88no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—162no—
1455D4—164no—
1456D4—164no—
1457D4—164no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—28no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4—162no—
1527C2×C4—164no—
1528C2×C4C2×H(5,𝔽2)12yes—
1529C2×C4C2×H(5,𝔽2)12yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4#58512yes—
1532C22—22no—
1533C22—24no—
1534C22—24no—
1535C22—24no—
1536C22—24no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—44no—
1541C22—44no—
1542C22—42no—
1543C22—42no—
1544C22—44no—
1545C22—44no—
1546C22—42no—
1547C22—44no—
1548C22—44no—
1549C22—42no—
1550C22—44no—
1551C22—42no—
1552C22—42no—
1553C22—44no—
1554C22—42no—
1555C22—42no—
1556C22—44no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—44no—
1563C22—42no—
1564C22—44no—
1565C22—44no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—44no—
1570C22—168no—
1571C22—1616no—
1572C22—1616no—
1573C22C22×H(5,𝔽2)11yescharacteristic
1574C22C22×H(5,𝔽2)11yescharacteristic
1575C22C2×#58511yescharacteristic
1576C22H(7,𝔽2)12yes—
1577C22H(7,𝔽2)12yes—
1578C4—22no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—44no—
1589C4—41no—
1590C4—41no—
1591C4—44no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4#353414yes—
1601C2—42no—
1602C2—44no—
1603C2—82no—
1604C2—82no—
1605C2—84no—
1606C2—84no—
1607C2C2×#353411yescharacteristic
1608C2#6287412yes—
1609C2#6304111yescharacteristic
1610C2#6304511yescharacteristic
1611C2#6306012yes—
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. #57979C2semidirect
2. #57956C2semidirect
3. #57398C2semidirect
4. #57156C2semidirect
5. #55098C2semidirect
6. #54816C2semidirect
7. #53489C2semidirect
8. #53129C2semidirect
9. #52984C2semidirect
10. #52599C2semidirect
11. #52410C2semidirect
12. #52339C2semidirect
13. #45399C2semidirect
14. #45367C2semidirect
15. #44929C2semidirect
16. #44877C2semidirect
17. #42976C2semidirect
18. #42975C2semidirect
19. #42761C2semidirect
20. #42540C2semidirect
21. #42475C2semidirect
22. #42475C2semidirect
23. #38034C2semidirect
24. #38026C2semidirect
25. #37289C2semidirect
26. #36684C2semidirect
27. #36011C2semidirect
28. #35728C2semidirect
29. #35531C2semidirect
30. C2×#555C22semidirect
31. C2×#546C22semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
36. C2×#529C22semidirect
37. C2×#520C22semidirect
38. #2854C22semidirect
39. #2837C22semidirect
40. #2837C22semidirect
41. #2832C22semidirect
42. #2829C22semidirect
43. #2829C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2828C22semidirect
47. #2827C22semidirect
48. #2826C22semidirect
49. #2824C22semidirect
50. #2823C22semidirect
51. #2823C22semidirect
52. #2823C22semidirect
53. #2822C22semidirect
54. #2820C22semidirect
55. #2819C22semidirect
56. #2814C22semidirect
57. #2814C22semidirect
58. #2813C22semidirect
59. #2813C22semidirect
60. #2812C22semidirect
61. #2812C22semidirect
62. #2812C22semidirect
63. #2803C22semidirect
64. #2795C22semidirect
65. #2795C22semidirect
66. #2785C22semidirect
67. #2782C22semidirect
68. #2756C22semidirect
69. #2756C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2750C22semidirect
74. #2749C22semidirect
75. #2749C22semidirect
76. #2743C22semidirect
77. #2738C22semidirect
78. #2736C22semidirect
79. #2735C22semidirect
80. #2730C22semidirect
81. #2723C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2706C22semidirect
87. #2705C22semidirect
88. #2703C22semidirect
89. #2699C22semidirect
90. #2699C22semidirect
91. #2697C22semidirect
92. #2697C22semidirect
93. #2697C22semidirect
94. #2696C22semidirect
95. #2691C22semidirect
96. #2687C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2684C22semidirect
105. #2684C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2679C22semidirect
109. #2679C22semidirect
110. #2679C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2678C22semidirect
114. #2678C22semidirect
115. #2678C22semidirect
116. #2678C22semidirect
117. #2676C22semidirect
118. #2671C22semidirect
119. #2670C22semidirect
120. #2670C22semidirect
121. #2670C22semidirect
122. #2668C22semidirect
123. #2662C22semidirect
124. #2662C22semidirect
125. #2651C22semidirect
126. #2651C22semidirect
127. #2648C22semidirect
128. #2639C22semidirect
129. #2636C22semidirect
130. #2635C22semidirect
131. #2628C22semidirect
132. #2625C22semidirect
133. #2624C22semidirect
134. #2620C22semidirect
137. #2618C22semidirect
138. #2613C22semidirect
139. #2613C22semidirect
140. #2613C22semidirect
141. #2595C22semidirect
142. #2593C22semidirect
143. #2592C22semidirect
144. #2591C22semidirect
145. #2580C22semidirect
146. #2568C22semidirect
147. #2559C22semidirect
148. #2558C22semidirect
149. #2554C22semidirect
150. #2554C22semidirect
151. #2554C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2544C22semidirect
155. #2543C22semidirect
156. #2540C22semidirect
157. #2539C22semidirect
158. #2538C22semidirect
159. #2536C22semidirect
160. #2536C22semidirect
161. #2534C22semidirect
162. #2515C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
170. #2504C22semidirect
171. #2501C22semidirect
172. #2500C22semidirect
173. #2500C22semidirect
174. #2500C22semidirect
175. #2496C22semidirect
176. #2491C22semidirect
177. #2485C22semidirect
178. #2484C22semidirect
179. #2480C22semidirect
180. #2476C22semidirect
181. #2474C22semidirect
182. #2472C22semidirect
183. #2472C22semidirect
184. #2472C22semidirect
185. #2461C22semidirect
186. #2459C22semidirect
187. #2452C22semidirect
188. #2448C22semidirect
189. #2448C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2435C22semidirect
195. #2435C22semidirect
199. #2427C22semidirect
200. #2426C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2419C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2405C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2403C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2395C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
239. C2×#394C22semidirect
240. #2366C22semidirect
241. #2363C22semidirect
242. #2362C22semidirect
243. #2357C22semidirect
244. #2354C22semidirect
245. #2352C22semidirect
246. #2349C22semidirect
247. #2347C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2317C22semidirect
253. #2309C22semidirect
254. #2309C22semidirect
255. #2309C22semidirect
256. #2297C22semidirect
257. C2×#390C22semidirect
258. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#579792
#579562
#573982
#571562
#550982
#548162
#534892
#531292
#529842
#525992
#524102
#523392
#453992
#453672
#449292
#448772
#429762
#429752
#427612
#425402
#424752
#380342
#380262
#372892
#366842
#360112
#357282
#355312