Finite Group Databasebeta

← #8656844

Subgroups — #8656844

Order 512.

5773 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59046C212yesmaximal, complemented
2#58802C212yesmaximal, complemented
3#56313C214yesmaximal, complemented
4#55752C214yesmaximal, complemented
5#52969C211yesmaximal, characteristic, complemented
6#51865C214yesmaximal, complemented
7#51137C214yesmaximal, complemented
8#49854C214yesmaximal, complemented
9#47663C212yesmaximal, complemented
10#47016C214yesmaximal, complemented
11#46073C211yesmaximal, characteristic, complemented
12#46061C212yesmaximal, complemented
13#45244C211yesmaximal, characteristic, complemented
14#44876C212yesmaximal, complemented
15#43265C212yesmaximal, complemented
16#42917C211yesmaximal, characteristic, complemented
17#42696C212yesmaximal, complemented
18#42011C212yesmaximal, complemented
19#39864C212yesmaximal, complemented
20#39357C212yesmaximal, complemented
21#39009C212yesmaximal, complemented
22#38956C211yesmaximal, characteristic, complemented
23#37784C212yesmaximal, complemented
24#37356C212yesmaximal, complemented
25#36293C212yesmaximal, complemented
26#35750C211yesmaximal, characteristic, complemented
27#35513C212yesmaximal, complemented
28#35191C212yesmaximal, complemented
29#34871C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yescomplemented
33C2×#547C2211yescharacteristic
34C2×#546C2212yes—
35C2×#537C2212yes—
36C2×#536C2211yescharacteristic, complemented
37C2×#535C2212yes—
38C2×#532C2212yes—
39C2×#529C2212yescomplemented
40#2861C2212yescomplemented
41#2861C2212yescomplemented
42#2860C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2858C2212yescomplemented
45#2855C2212yescomplemented
46#2832C2212yescomplemented
47#2829C2214yescomplemented
48#2828C2212yescomplemented
49#2827C2214yescomplemented
50#2815C2214yescomplemented
51#2814C2212yescomplemented
52#2812C2212yescomplemented
53#2803C2214yescomplemented
54#2788C2214yescomplemented
55#2787C2214yescomplemented
56#2785C2212yescomplemented
57#2779C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2770C2214yescomplemented
62#2768C2214yescomplemented
63#2761C2214yescomplemented
64#2756C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2743C2214yescomplemented
70#2736C2214yescomplemented
71#2724C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2708C2214yescomplemented
75#2705C2214yescomplemented
76#2705C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2701C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2212yescomplemented
83#2699C2214yescomplemented
84#2698C2214yescomplemented
85#2697C2214yescomplemented
86#2695C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2686C2214yescomplemented
91#2686C2214yescomplemented
92#2685C2214yescomplemented
93#2685C2214yescomplemented
94#2684C2212yescomplemented
95#2683C2212yescomplemented
96#2681C2214yescomplemented
97#2681C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2212yescomplemented
103#2671C2214yescomplemented
104#2669C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2212yescomplemented
107#2663C2212yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2653C2214yescomplemented
111#2649C2214yescomplemented
112#2648C2214yescomplemented
113#2638C2214yescomplemented
114#2627C2212yescomplemented
115#2625C2211yescharacteristic, complemented
116#2621C2212yescomplemented
117#2619C2212yescomplemented
118#2619C2212yescomplemented
119#2616C2211yescharacteristic
120#2613C2212yes—
121#2612C2211yescharacteristic, complemented
122#2610C2212yescomplemented
123#2609C2211yescharacteristic, complemented
124#2603C2214yescomplemented
125#2603C2214yescomplemented
126#2600C2214yescomplemented
127#2597C2214yescomplemented
128#2592C2212yescomplemented
129#2586C2211yescharacteristic, complemented
130#2583C2212yescomplemented
131#2572C2211yescharacteristic, complemented
132#2568C2211yescharacteristic, complemented
133#2564C2214yescomplemented
134#2555C2212yescomplemented
135#2554C2212yescomplemented
136#2548C2212yescomplemented
137#2547C2212yescomplemented
138#2546C2212yescomplemented
139#2545C2212yescomplemented
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2543C2214yescomplemented
143#2541C2211yescharacteristic, complemented
144#2541C2212yescomplemented
145#2539C2214yescomplemented
146#2532C2212yescomplemented
147#2531C2214yescomplemented
148#2526C2212yescomplemented
149#2526C2214yescomplemented
150#2518C2214yescomplemented
151#2514C2212yescomplemented
152#2513C2212yescomplemented
153#2510C2214yescomplemented
154#2504C2212yescomplemented
155#2490C2212yescomplemented
156#2489C2212yescomplemented
157#2482C2214yescomplemented
158#2480C2214yescomplemented
159#2479C2214yescomplemented
160#2479C2212yescomplemented
161#2476C2214yescomplemented
162#2472C2214yescomplemented
163#2472C2214yescomplemented
164#2471C2214yescomplemented
165#2471C2212yescomplemented
166#2467C2214yescomplemented
167#2464C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2212yescomplemented
170#2454C2212yescomplemented
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2447C2212yescomplemented
174#2446C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2442C2212yescomplemented
178#2438C2214yescomplemented
179#2436C2212yescomplemented
180#2435C2211yescharacteristic
181#2435C2212yes—
182#2435C2212yes—
183#2434C2211yescharacteristic, complemented
184#2433C2212yes—
185#2433C2212yes—
186#2432C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2432C2212yescomplemented
190#2431C2212yes—
191#2431C2212yes—
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2212yes—
196#2430C2214yescomplemented
197#2429C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2214yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2420C2214yescomplemented
206#2420C2212yescomplemented
207#2416C2212yescomplemented
208#2414C2214yescomplemented
209#2414C2214yescomplemented
210#2414C2214yescomplemented
211#2412C2214yescomplemented
212#2410C2214yes—
213#2410C2214yes—
214#2410C2214yes—
215#2410C2214yes—
216#2410C2214yes—
217#2409C2211yescharacteristic, complemented
218#2408C2214yes—
219#2408C2211yescharacteristic
220#2408C2214yes—
221#2407C2214yes—
222#2407C2212yes—
223#2407C2214yes—
224#2406C2212yes—
225#2405C2214yes—
226#2404C2214yescomplemented
227#2396C2212yescomplemented
228#2395C2211yescharacteristic, complemented
229#2388C2211yescharacteristic
230C2×#394C2212yes—
231#2375C2214yescomplemented
232#2375C2212yescomplemented
233#2366C2212yescomplemented
234#2360C2212yescomplemented
235#2360C2212yescomplemented
236#2358C2214yescomplemented
237#2342C2214yescomplemented
238#2342C2214yescomplemented
239#2341C2211yescharacteristic, complemented
240#2339C2211yescharacteristic
241#2339C2212yescomplemented
242D4×C22⋊C4C2212yes—
243#2325C2214yescomplemented
244#2324C2214yescomplemented
245#2324C2212yescomplemented
246#2324C2214yescomplemented
247#2318C2214yescomplemented
248#2311C2212yes—
249#2311C2212yescomplemented
250C4×#126C2212yescomplemented
251C4×#124C2211yescharacteristic, complemented
252C4×#124C2212yescomplemented
253C4×#123C2212yescomplemented
254#2297C2212yes—
255#2293C2211yescharacteristic, complemented
256#2293C2212yescomplemented
257C2×#390C2212yes—
258C4×#117C2212yescomplemented
259C2×H(5,𝔽2)—44no—
260C2×H(5,𝔽2)—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C23×Q8C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2314yes—
272C23×D4C2311yescharacteristic
273#550—44no—
274#548—48no—
275#547—44no—
276#546—48no—
277#537—48no—
278#536—44no—
279#535—48no—
280#532—48no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2311yescharacteristic
287C2×#127C2312yes—
288C2×#127C2312yes—
289#529—48no—
290C2×#126C2312yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#125C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2314yes—
303C2×#123C2312yes—
304C2×#123C2312yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2312yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C42C2312yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2311yescharacteristic
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2312yes—
386#399C2311yescharacteristic
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2311yescharacteristic
392#398C2312yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#397C2314yes—
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#397C2311yescharacteristic
416#397C2314yes—
417#397C2314yes—
418#396C2312yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2312yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#395C2312yes—
427#395C2312yes—
428#395C2312yes—
429#395C2311yescharacteristic
430#395C2312yes—
431#395C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2311yescharacteristic
435#394C2312yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2311yescharacteristic
475#393C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2312yes—
481#392C2311yescharacteristic
482#392C2314yes—
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2312yes—
498#392C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
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#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#383C2312yes—
663#383C2314yes—
664#382C2312yes—
665#382C2314yes—
666#382C2311yescharacteristic
667#382C2312yes—
668#381C2312yes—
669#381C2314yes—
670#381C2312yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2311yescharacteristic
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718#376C2312yes—
719C2×#95C2314yes—
720C2×#95C2312yes—
721C43C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725H(5,𝔽2)—464no—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—42no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—48no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—82no—
743C22×Q8—42no—
744C22×Q8—44no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2412yes—
747C22×Q8C2411yescharacteristic
748C22×Q8C2411yescharacteristic
749C22×Q8C2411yescharacteristic
750C22×Q8C2412yes—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—44no—
754C22×D4—48no—
755C22×D4—42no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C4⋊Q8—44no—
802C4⋊Q8—44no—
803C4⋊Q8—42no—
804#127—28no—
805#127—44no—
806#127—44no—
807#127—42no—
808#127—82no—
809#126—48no—
810#126—44no—
811#126—84no—
812#125—44no—
813#124—28no—
814#124—42no—
815#124—44no—
816#124—44no—
817#124—44no—
818#124—44no—
819#124—44no—
820#124—44no—
821#124—48no—
822#123—44no—
823#123—48no—
824#123—48no—
825#123—44no—
826#123—44no—
827#123—48no—
828#123—84no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—42no—
837C22⋊Q8—42no—
838#121—28no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—48no—
854#121—48no—
855#121—44no—
856#121—44no—
857#121—84no—
858#120—48no—
859#120—44no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—84no—
865#120—84no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×D4—24no—
870C4×D4—28no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—42no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880#117—44no—
881#117—42no—
882#117—44no—
883#117—48no—
884#117—44no—
885#117—82no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C22⋊C4—48no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—48no—
931C2×C22⋊C4—84no—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—28no—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023#95C2411yescharacteristic
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2411yescharacteristic
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—28no—
1075C24—28no—
1076C24—44no—
1077C24—42no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—42no—
1085C24—42no—
1086C24C2511yescharacteristic
1087C24C2514yes—
1088C24C2514yes—
1089C24C2511yescharacteristic
1090C24C2512yes—
1091C24C2512yes—
1092#41—416no—
1093#41—432no—
1094#41—416no—
1095#41—432no—
1096#41—816no—
1097#41—88no—
1098#41—816no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—24no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—22no—
1108C2×Q8—41no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8—42no—
1112C2×Q8—44no—
1113C2×Q8—88no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—22no—
1136C2×D4—24no—
1137C2×D4—432no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—41no—
1147C2×D4—44no—
1148C2×D4—44no—
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—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
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—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—464no—
1184C2×D4—432no—
1185C2×D4—416no—
1186C2×D4H(5,𝔽2)14yes—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—28no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4H(5,𝔽2)18yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—41no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—41no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—22no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—21no—
1393C23—24no—
1394C23—21no—
1395C23—24no—
1396C23—24no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—21no—
1405C23—24no—
1406C23—21no—
1407C23—24no—
1408C23—24no—
1409C23—24no—
1410C23—24no—
1411C23—21no—
1412C23—21no—
1413C23—24no—
1414C23—416no—
1415C23—48no—
1416C23—88no—
1417C23—88no—
1418C23—88no—
1419C23—88no—
1420C23—164no—
1421C23—164no—
1422C23—162no—
1423C23—164no—
1424C23—162no—
1425C23—164no—
1426C23C2×H(5,𝔽2)14yes—
1427C23C2×H(5,𝔽2)14yes—
1428C23C2611yescharacteristic
1429Q8—44no—
1430Q8—44no—
1431Q8—48no—
1432Q8—44no—
1433Q8—44no—
1434Q8—84no—
1435D4—28no—
1436D4—48no—
1437D4—416no—
1438D4—44no—
1439D4—416no—
1440D4—48no—
1441D4—48no—
1442D4—48no—
1443D4—48no—
1444D4—88no—
1445D4—82no—
1446D4—84no—
1447D4—88no—
1448D4—88no—
1449D4—84no—
1450D4—88no—
1451D4—88no—
1452D4—84no—
1453D4—88no—
1454D4—88no—
1455D4—162no—
1456D4—164no—
1457D4—164no—
1458D4—164no—
1459D4—164no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—216no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—416no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4—84no—
1530C2×C4—88no—
1531C2×C4—164no—
1532C2×C4—164no—
1533C2×C4C2×H(5,𝔽2)14yes—
1534C2×C4C2×H(5,𝔽2)12yes—
1535C2×C4C2×H(5,𝔽2)14yes—
1536C2×C4#58512yes—
1537C2×C4#58514yes—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—44no—
1551C22—44no—
1552C22—41no—
1553C22—41no—
1554C22—44no—
1555C22—44no—
1556C22—44no—
1557C22—42no—
1558C22—44no—
1559C22—42no—
1560C22—44no—
1561C22—41no—
1562C22—41no—
1563C22—44no—
1564C22—42no—
1565C22—44no—
1566C22—44no—
1567C22—44no—
1568C22—42no—
1569C22—44no—
1570C22—41no—
1571C22—44no—
1572C22—41no—
1573C22—44no—
1574C22—1616no—
1575C22—168no—
1576C22C22×H(5,𝔽2)11yescharacteristic
1577C22C22×H(5,𝔽2)12yes—
1578C22C2×#58512yes—
1579C22C2×#58511yescharacteristic
1580C22H(7,𝔽2)11yescharacteristic
1581C4—24no—
1582C4—22no—
1583C4—24no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—44no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—44no—
1602C4—42no—
1603C4#353214yes—
1604C2—44no—
1605C2—44no—
1606C2—84no—
1607C2—81no—
1608C2—84no—
1609C2—81no—
1610C2C2×#353211yescharacteristic
1611C2#6283012yes—
1612C2#6291811yescharacteristic
1613C2#6295512yes—
1614C2#6302411yescharacteristic
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. #59046C2semidirect
2. #58802C2semidirect
3. #56313C2semidirect
4. #55752C2semidirect
5. #52969C2semidirect
6. #51865C2semidirect
7. #51137C2semidirect
8. #49854C2semidirect
9. #47663C2semidirect
10. #47016C2semidirect
11. #46073C2semidirect
12. #46061C2semidirect
13. #45244C2semidirect
14. #44876C2semidirect
15. #43265C2semidirect
16. #42917C2semidirect
17. #42696C2semidirect
18. #42011C2semidirect
19. #39864C2semidirect
20. #39357C2semidirect
21. #39009C2semidirect
22. #38956C2semidirect
23. #37784C2semidirect
24. #37356C2semidirect
25. #36293C2semidirect
26. #35750C2semidirect
27. #35513C2semidirect
28. #35191C2semidirect
29. #34871C2semidirect
31. C2×#550C22semidirect
32. C2×#548C22semidirect
36. C2×#536C22semidirect
39. C2×#529C22semidirect
40. #2861C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2858C22semidirect
44. #2858C22semidirect
45. #2855C22semidirect
46. #2832C22semidirect
47. #2829C22semidirect
48. #2828C22semidirect
49. #2827C22semidirect
50. #2815C22semidirect
51. #2814C22semidirect
52. #2812C22semidirect
53. #2803C22semidirect
54. #2788C22semidirect
55. #2787C22semidirect
56. #2785C22semidirect
57. #2779C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2770C22semidirect
62. #2768C22semidirect
63. #2761C22semidirect
64. #2756C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2743C22semidirect
70. #2736C22semidirect
71. #2724C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2708C22semidirect
75. #2705C22semidirect
76. #2705C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2701C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2698C22semidirect
85. #2697C22semidirect
86. #2695C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2686C22semidirect
91. #2686C22semidirect
92. #2685C22semidirect
93. #2685C22semidirect
94. #2684C22semidirect
95. #2683C22semidirect
96. #2681C22semidirect
97. #2681C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2671C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2663C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2653C22semidirect
111. #2649C22semidirect
112. #2648C22semidirect
113. #2638C22semidirect
114. #2627C22semidirect
115. #2625C22semidirect
116. #2621C22semidirect
117. #2619C22semidirect
118. #2619C22semidirect
121. #2612C22semidirect
122. #2610C22semidirect
123. #2609C22semidirect
124. #2603C22semidirect
125. #2603C22semidirect
126. #2600C22semidirect
127. #2597C22semidirect
128. #2592C22semidirect
129. #2586C22semidirect
130. #2583C22semidirect
131. #2572C22semidirect
132. #2568C22semidirect
133. #2564C22semidirect
134. #2555C22semidirect
135. #2554C22semidirect
136. #2548C22semidirect
137. #2547C22semidirect
138. #2546C22semidirect
139. #2545C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
142. #2543C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2539C22semidirect
146. #2532C22semidirect
147. #2531C22semidirect
148. #2526C22semidirect
149. #2526C22semidirect
150. #2518C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2510C22semidirect
154. #2504C22semidirect
155. #2490C22semidirect
156. #2489C22semidirect
157. #2482C22semidirect
158. #2480C22semidirect
159. #2479C22semidirect
160. #2479C22semidirect
161. #2476C22semidirect
162. #2472C22semidirect
163. #2472C22semidirect
164. #2471C22semidirect
165. #2471C22semidirect
166. #2467C22semidirect
167. #2464C22semidirect
168. #2464C22semidirect
169. #2463C22semidirect
170. #2454C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2447C22semidirect
174. #2446C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2442C22semidirect
178. #2438C22semidirect
179. #2436C22semidirect
183. #2434C22semidirect
189. #2432C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
196. #2430C22semidirect
197. #2429C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2416C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2412C22semidirect
217. #2409C22semidirect
226. #2404C22semidirect
227. #2396C22semidirect
228. #2395C22semidirect
231. #2375C22semidirect
232. #2375C22semidirect
233. #2366C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
236. #2358C22semidirect
237. #2342C22semidirect
238. #2342C22semidirect
239. #2341C22semidirect
241. #2339C22semidirect
243. #2325C22semidirect
244. #2324C22semidirect
245. #2324C22semidirect
246. #2324C22semidirect
247. #2318C22semidirect
249. #2311C22semidirect
250. C4×#126C22semidirect
251. C4×#124C22semidirect
252. C4×#124C22semidirect
253. C4×#123C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#590462
#588022
#563132
#557522
#529692
#518652
#511372
#498542
#476632
#470162
#460732
#460612
#452442
#448762
#432652
#429172
#426962
#420112
#398642
#393572
#390092
#389562
#377842
#373562
#362932
#357502
#355132
#351912
#348712