Finite Group Databasebeta

← #8321915

Subgroups — #8321915

Order 512.

5650 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59548C212yesmaximal, complemented
2#59131C212yesmaximal, complemented
3#59004C212yesmaximal, complemented
4#57142C214yesmaximal, complemented
5#55012C214yesmaximal, complemented
6#53893C212yesmaximal, complemented
7#53614C214yesmaximal, complemented
8#53422C212yesmaximal, complemented
9#53059C212yesmaximal, complemented
10#52762C212yesmaximal, complemented
11#52163C211yesmaximal, characteristic, complemented
12#50674C214yesmaximal, complemented
13#50099C214yesmaximal, complemented
14#45623C212yesmaximal, complemented
15#45214C212yesmaximal, complemented
16#45204C212yesmaximal, complemented
17#42958C211yesmaximal, characteristic, complemented
18#42883C211yesmaximal, characteristic, complemented
19#42642C212yesmaximal, complemented
20#42533C212yesmaximal, complemented
21#40640C214yesmaximal, complemented
22#39886C212yesmaximal, complemented
23#39466C212yesmaximal, complemented
24#37659C212yesmaximal, complemented
25#37650C212yesmaximal, complemented
26#37513C211yesmaximal, characteristic, complemented
27#36022C211yesmaximal, characteristic, complemented
28#35691C211yesmaximal, characteristic, complemented
29#35617C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#548C2212yescomplemented
32C2×#546C2212yes—
33C2×D42C2211yescharacteristic
34C2×D42C2212yescomplemented
35C2×#536C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C22×#124C2211yescharacteristic, complemented
38C2×#525C2212yescomplemented
39C2×#525C2212yescomplemented
40C22×#121C2212yescomplemented
41C2×#518C2211yescharacteristic, complemented
42#2848C2212yescomplemented
43#2847C2212yescomplemented
44#2837C2214yescomplemented
45#2833C2212yescomplemented
46#2832C2212yescomplemented
47#2828C2212yescomplemented
48#2827C2214yescomplemented
49#2826C2214yescomplemented
50#2825C2214yescomplemented
51#2825C2214yescomplemented
52#2818C2214yescomplemented
53#2815C2212yescomplemented
54#2813C2214yescomplemented
55#2796C2214yescomplemented
56#2780C2214yescomplemented
57#2770C2214yescomplemented
58#2764C2212yescomplemented
59#2760C2212yes—
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2753C2214yescomplemented
63#2753C2214yescomplemented
64#2753C2214yescomplemented
65#2752C2214yescomplemented
66#2749C2214yescomplemented
67#2749C2214yescomplemented
68#2749C2214yescomplemented
69#2743C2214yescomplemented
70#2743C2214yescomplemented
71#2735C2214yescomplemented
72#2733C2212yescomplemented
73#2732C2212yescomplemented
74#2730C2214yescomplemented
75#2730C2214yescomplemented
76#2728C2212yescomplemented
77#2728C2211yescharacteristic, complemented
78#2728C2211yescharacteristic, complemented
79#2724C2211yescharacteristic, complemented
80#2710C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2212yescomplemented
84#2708C2212yescomplemented
85#2703C2214yescomplemented
86#2702C2214yescomplemented
87#2699C2214yescomplemented
88#2697C2214yescomplemented
89#2697C2212yescomplemented
90#2693C2214yescomplemented
91#2691C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2685C2214yescomplemented
96#2682C2214yescomplemented
97#2679C2211yescharacteristic, complemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yescomplemented
103#2674C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2212yes—
114#2668C2212yescomplemented
115#2665C2214yescomplemented
116#2649C2214yescomplemented
117#2648C2214yescomplemented
118#2635C2214yescomplemented
119#2635C2214yescomplemented
120#2635C2214yescomplemented
121#2635C2212yescomplemented
122#2631C2214yescomplemented
123#2631C2214yescomplemented
124#2628C2211yescharacteristic, complemented
125#2626C2214yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2619C2211yescharacteristic, complemented
129#2617C2212yescomplemented
130#2615C2212yescomplemented
131#2613C2214yescomplemented
132#2600C2212yescomplemented
133#2598C2214yescomplemented
134#2595C2214yescomplemented
135#2595C2214yescomplemented
136#2572C2212yescomplemented
137#2572C2212yescomplemented
138#2555C2214yescomplemented
139#2555C2212yescomplemented
140#2554C2214yescomplemented
141#2547C2212yescomplemented
142#2547C2212yescomplemented
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2544C2214yescomplemented
147#2543C2212yescomplemented
148#2542C2211yescharacteristic, complemented
149#2541C2212yescomplemented
150#2541C2211yescharacteristic, complemented
151#2540C2212yescomplemented
152#2540C2212yescomplemented
153#2539C2212yescomplemented
154#2538C2212yescomplemented
155#2535C2212yes—
156#2535C2211yescharacteristic
157#2535C2211yescharacteristic
158#2525C2214yescomplemented
159#2514C2212yescomplemented
160#2512C2212yescomplemented
161#2510C2214yescomplemented
162#2510C2214yescomplemented
163#2508C2212yescomplemented
164#2503C2212yescomplemented
165#2497C2212yescomplemented
166#2495C2212yescomplemented
167#2495C2214yescomplemented
168#2492C2212yescomplemented
169#2491C2212yescomplemented
170#2486C2212yescomplemented
171#2483C2214yescomplemented
172#2482C2212yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2468C2214yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2461C2214yescomplemented
181#2456C2214yescomplemented
182#2456C2214yescomplemented
183#2455C2214yescomplemented
184#2452C2214yescomplemented
185#2448C2212yescomplemented
186#2435C2212yescomplemented
187#2433C2214yescomplemented
188#2431C2212yescomplemented
189#2431C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2422C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2214yescomplemented
205#2420C2212yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2417C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2214yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yescomplemented
224#2408C2214yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2403C2214yescomplemented
228#2403C2214yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231#2395C2212yescomplemented
232#2392C2211yescharacteristic
233#2392C2211yescharacteristic, complemented
234C2×#392C2212yes—
235#2377C2214yescomplemented
236#2367C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2212yescomplemented
239#2357C2211yescharacteristic, complemented
240#2357C2214yescomplemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2349C2211yescharacteristic, complemented
244#2347C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246D4×C22⋊C4C2214yescomplemented
247D4×C22⋊C4C2214yescomplemented
248#2324C2212yescomplemented
249#2324C2214yescomplemented
250#2323C2212yescomplemented
251#2310C2211yescharacteristic, complemented
252#2308C2214yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#120C2212yescomplemented
256C4×#120C2212yescomplemented
257#2297C2211yescharacteristic, complemented
258#2296C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2314yes—
266C23×D4C2314yes—
267C24×C4C2312yes—
268#555—44no—
269#548—48no—
270#546—48no—
271D42—44no—
272D42—48no—
273#536—44no—
274#535—44no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#126C2314yes—
282C2×#124—44no—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293#525—48no—
294#525—48no—
295C2×#123C2314yes—
296C2×#123C2312yes—
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×#121—48no—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#120C2312yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2312yes—
340C2×#120C2312yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349#518—44no—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2311yescharacteristic
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2312yes—
404#399C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2311yescharacteristic
408#398C2312yes—
409#398C2314yes—
410#398C2311yescharacteristic
411#398C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2311yescharacteristic
428#397C2311yescharacteristic
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#396C2314yes—
448#395C2312yes—
449#395C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2311yescharacteristic
465#394C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2311yescharacteristic
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#392C2312yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2311yescharacteristic
521#392C2312yes—
522#392C2314yes—
523#392C2311yescharacteristic
524#392C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#384C2312yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#382C2311yescharacteristic
668#382C2312yes—
669#382C2311yescharacteristic
670#382C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2312yes—
674#381C2312yes—
675#381C2314yes—
676#381C2314yes—
677#381C2312yes—
678#381C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C2×#95C2312yes—
724C25C2412yes—
725C25C2414yes—
726C25C2412yes—
727C2×#41—24no—
728C2×#41—42no—
729C2×#41—42no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C22×Q8—24no—
734C22×Q8—42no—
735C22×Q8—42no—
736C22×Q8C2412yes—
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×D4—24no—
741C22×D4—28no—
742C22×D4—24no—
743C22×D4—42no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—84no—
753C22×D4—84no—
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2411yescharacteristic
771C22×D4C2414yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C23×C4—44no—
784C23×C4—44no—
785C23×C4—44no—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C4⋊Q8—44no—
804C4⋊Q8—42no—
805#127—42no—
806#127—44no—
807#127—44no—
808#127—84no—
809#126—84no—
810#124—28no—
811#124—44no—
812#124—48no—
813#124—44no—
814#124—44no—
815#124—44no—
816#124—44no—
817#124—44no—
818#124—48no—
819#124—84no—
820#123—48no—
821#123—48no—
822#123—44no—
823#123—48no—
824#123—44no—
825#123—84no—
826#123—84no—
827C22⋊Q8—28no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—48no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—84no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—44no—
841#121—44no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—48no—
847#121—44no—
848#121—44no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—48no—
857#121—48no—
858#121—84no—
859#121—84no—
860#120—48no—
861#120—44no—
862#120—48no—
863#120—48no—
864#120—44no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—44no—
869#120—44no—
870#120—84no—
871#120—84no—
872#120—84no—
873C4×Q8—44no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—44no—
879C4×D4—48no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—48no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—42no—
891C4×D4—48no—
892C4×D4—48no—
893C4×D4—84no—
894#117—24no—
895#117—28no—
896#117—42no—
897#117—44no—
898#117—44no—
899#117—42no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C22⋊C4—44no—
939C2×C22⋊C4—44no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—84no—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C42—42no—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2411yescharacteristic
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084C24—24no—
1085C24—28no—
1086C24—24no—
1087C24—24no—
1088C24—28no—
1089C24—42no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—42no—
1094C24—42no—
1095C24—42no—
1096C24—42no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2514yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C24C2512yes—
1110#41—88no—
1111#41—816no—
1112C2×Q8—24no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—22no—
1116C2×Q8—24no—
1117C2×Q8—42no—
1118C2×Q8—41no—
1119C2×Q8—42no—
1120C2×Q8—41no—
1121C2×Q8—44no—
1122C2×Q8—42no—
1123C2×Q8—88no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—416no—
1150C2×D4—42no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
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—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—816no—
1208C2×D4—816no—
1209C2×D4—832no—
1210C2×D4—832no—
1211C2×D4H(5,𝔽2)14yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
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—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—816no—
1259C22×C4H(5,𝔽2)14yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—44no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4H(5,𝔽2)14yes—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
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—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C42—24no—
1397C42—28no—
1398C42—24no—
1399C42—24no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—41no—
1404C42—41no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—48no—
1451C23—416no—
1452C23—48no—
1453C23—84no—
1454C23—84no—
1455C23—88no—
1456C23—88no—
1457C23—88no—
1458C23—88no—
1459C23—88no—
1460C23—88no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—162no—
1466C23—164no—
1467C23—162no—
1468C23—164no—
1469C23C2×H(5,𝔽2)14yes—
1470C23C2×H(5,𝔽2)12yes—
1471C23#58514yes—
1472C23C2611yescharacteristic
1473Q8—48no—
1474Q8—84no—
1475Q8—82no—
1476Q8—162no—
1477D4—28no—
1478D4—48no—
1479D4—416no—
1480D4—44no—
1481D4—48no—
1482D4—416no—
1483D4—44no—
1484D4—48no—
1485D4—82no—
1486D4—84no—
1487D4—84no—
1488D4—84no—
1489D4—88no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—82no—
1495D4—88no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—162no—
1503D4—164no—
1504D4—164no—
1505D4—164no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—28no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—162no—
1576C2×C4—162no—
1577C2×C4—164no—
1578C2×C4C2×H(5,𝔽2)14yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C22—22no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—28no—
1588C22—24no—
1589C22—24no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22—42no—
1605C22—44no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—816no—
1627C22—1616no—
1628C22—168no—
1629C22C22×H(5,𝔽2)11yescharacteristic
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C2×#58512yes—
1633C22H(7,𝔽2)12yes—
1634C4—22no—
1635C4—24no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—44no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4#353714yes—
1656C2—44no—
1657C2—42no—
1658C2—44no—
1659C2—82no—
1660C2—82no—
1661C2—84no—
1662C2—82no—
1663C2C2×#353711yescharacteristic
1664C2#6289612yes—
1665C2#6292412yes—
1666C2#6301711yescharacteristic
1667C2#6306611yescharacteristic
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. #59548C2semidirect
2. #59131C2semidirect
3. #59004C2semidirect
4. #57142C2semidirect
5. #55012C2semidirect
6. #53893C2semidirect
7. #53614C2semidirect
8. #53422C2semidirect
9. #53059C2semidirect
10. #52762C2semidirect
11. #52163C2semidirect
12. #50674C2semidirect
13. #50099C2semidirect
14. #45623C2semidirect
15. #45214C2semidirect
16. #45204C2semidirect
17. #42958C2semidirect
18. #42883C2semidirect
19. #42642C2semidirect
20. #42533C2semidirect
21. #40640C2semidirect
22. #39886C2semidirect
23. #39466C2semidirect
24. #37659C2semidirect
25. #37650C2semidirect
26. #37513C2semidirect
27. #36022C2semidirect
28. #35691C2semidirect
29. #35617C2semidirect
30. C2×#555C22semidirect
31. C2×#548C22semidirect
34. C2×D42C22semidirect
35. C2×#536C22semidirect
37. C22×#124C22semidirect
38. C2×#525C22semidirect
39. C2×#525C22semidirect
40. C22×#121C22semidirect
41. C2×#518C22semidirect
42. #2848C22semidirect
43. #2847C22semidirect
44. #2837C22semidirect
45. #2833C22semidirect
46. #2832C22semidirect
47. #2828C22semidirect
48. #2827C22semidirect
49. #2826C22semidirect
50. #2825C22semidirect
51. #2825C22semidirect
52. #2818C22semidirect
53. #2815C22semidirect
54. #2813C22semidirect
55. #2796C22semidirect
56. #2780C22semidirect
57. #2770C22semidirect
58. #2764C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2753C22semidirect
63. #2753C22semidirect
64. #2753C22semidirect
65. #2752C22semidirect
66. #2749C22semidirect
67. #2749C22semidirect
68. #2749C22semidirect
69. #2743C22semidirect
70. #2743C22semidirect
71. #2735C22semidirect
72. #2733C22semidirect
73. #2732C22semidirect
74. #2730C22semidirect
75. #2730C22semidirect
76. #2728C22semidirect
77. #2728C22semidirect
78. #2728C22semidirect
79. #2724C22semidirect
80. #2710C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2708C22semidirect
85. #2703C22semidirect
86. #2702C22semidirect
87. #2699C22semidirect
88. #2697C22semidirect
89. #2697C22semidirect
90. #2693C22semidirect
91. #2691C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2685C22semidirect
96. #2682C22semidirect
97. #2679C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2676C22semidirect
103. #2674C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
114. #2668C22semidirect
115. #2665C22semidirect
116. #2649C22semidirect
117. #2648C22semidirect
118. #2635C22semidirect
119. #2635C22semidirect
120. #2635C22semidirect
121. #2635C22semidirect
122. #2631C22semidirect
123. #2631C22semidirect
124. #2628C22semidirect
125. #2626C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2615C22semidirect
131. #2613C22semidirect
132. #2600C22semidirect
133. #2598C22semidirect
134. #2595C22semidirect
135. #2595C22semidirect
136. #2572C22semidirect
137. #2572C22semidirect
138. #2555C22semidirect
139. #2555C22semidirect
140. #2554C22semidirect
141. #2547C22semidirect
142. #2547C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2544C22semidirect
147. #2543C22semidirect
148. #2542C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2540C22semidirect
152. #2540C22semidirect
153. #2539C22semidirect
154. #2538C22semidirect
158. #2525C22semidirect
159. #2514C22semidirect
160. #2512C22semidirect
161. #2510C22semidirect
162. #2510C22semidirect
163. #2508C22semidirect
164. #2503C22semidirect
165. #2497C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2492C22semidirect
169. #2491C22semidirect
170. #2486C22semidirect
171. #2483C22semidirect
172. #2482C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2468C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2461C22semidirect
181. #2456C22semidirect
182. #2456C22semidirect
183. #2455C22semidirect
184. #2452C22semidirect
185. #2448C22semidirect
186. #2435C22semidirect
187. #2433C22semidirect
188. #2431C22semidirect
189. #2431C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2422C22semidirect
202. #2421C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2417C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2409C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
233. #2392C22semidirect
235. #2377C22semidirect
236. #2367C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2349C22semidirect
244. #2347C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2310C22semidirect
252. #2308C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. #2297C22semidirect
258. #2296C22semidirect

Maximal subgroups

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

subgroupindex
#595482
#591312
#590042
#571422
#550122
#538932
#536142
#534222
#530592
#527622
#521632
#506742
#500992
#456232
#452142
#452042
#429582
#428832
#426422
#425332
#406402
#398862
#394662
#376592
#376502
#375132
#360222
#356912
#356172