Finite Group Databasebeta

← #7732533

Subgroups — #7732533

Order 512.

5584 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47924C214yesmaximal, complemented
2#47921C214yesmaximal, complemented
3#47016C214yesmaximal, complemented
4#46411C214yesmaximal, complemented
5#43050C214yesmaximal, complemented
6#42997C214yesmaximal, complemented
7#39550C212yesmaximal, complemented
8#39548C212yesmaximal, complemented
9#39499C212yesmaximal, complemented
10#39486C212yesmaximal, complemented
11#39059C212yesmaximal, complemented
12#39052C212yesmaximal, complemented
13#38068C212yesmaximal, complemented
14#38056C212yesmaximal, complemented
15#37946C212yesmaximal, complemented
16#37756C212yesmaximal, complemented
17#37450C211yesmaximal, characteristic, complemented
18#37370C212yesmaximal, complemented
19#37331C212yesmaximal, complemented
20#36168C212yesmaximal, complemented
21#36123C212yesmaximal, complemented
22#35590C212yesmaximal, complemented
23#35524C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35000C211yesmaximal, characteristic, complemented
26C2×#2414C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34204C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C2×#546C2214yescomplemented
31C2×#544C2211yescharacteristic, complemented
32C2×#534C2212yes—
33C2×#532C2212yescomplemented
34C22×#121C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic, complemented
37C2×#518C2211yescharacteristic, complemented
38C22×C4×D4C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2857C2212yescomplemented
41#2856C2212yescomplemented
42#2854C2212yes—
43#2854C2212yescomplemented
44#2854C2212yescomplemented
45#2851C2212yescomplemented
46#2851C2212yescomplemented
47#2847C2212yes—
48#2815C2214yescomplemented
49#2803C2214yescomplemented
50#2797C2214yescomplemented
51#2796C2214yescomplemented
52#2795C2214yescomplemented
53#2787C2214yescomplemented
54#2783C2214yescomplemented
55#2779C2214yescomplemented
56#2778C2214yescomplemented
57#2775C2214yescomplemented
58#2772C2214yescomplemented
59#2770C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2756C2214yescomplemented
63#2753C2214yescomplemented
64#2753C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2746C2214yescomplemented
68#2740C2214yescomplemented
69#2731C2214yescomplemented
70#2730C2214yescomplemented
71#2724C2214yescomplemented
72#2714C2214yescomplemented
73#2711C2214yescomplemented
74#2706C2214yescomplemented
75#2706C2214yescomplemented
76#2703C2214yescomplemented
77#2701C2214yescomplemented
78#2701C2214yescomplemented
79#2698C2214yescomplemented
80#2697C2214yescomplemented
81#2693C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2685C2214yescomplemented
85#2682C2214yescomplemented
86#2678C2214yescomplemented
87#2676C2214yescomplemented
88#2668C2214yescomplemented
89#2647C2212yescomplemented
90#2644C2212yescomplemented
91#2644C2212yescomplemented
92#2641C2212yescomplemented
93#2629C2212yescomplemented
94#2628C2212yescomplemented
95#2619C2212yescomplemented
96#2619C2212yescomplemented
97#2618C2212yes—
98#2617C2212yes—
99#2617C2212yes—
100#2617C2212yes—
101#2617C2212yescomplemented
102#2617C2212yescomplemented
103#2603C2214yescomplemented
104#2602C2214yescomplemented
105#2602C2214yescomplemented
106#2600C2214yescomplemented
107#2597C2214yescomplemented
108#2578C2214yescomplemented
109#2577C2214yescomplemented
110#2576C2214yescomplemented
111#2572C2214yescomplemented
112#2559C2214yescomplemented
113#2557C2214yescomplemented
114#2555C2214yescomplemented
115#2543C2214yescomplemented
116#2543C2214yescomplemented
117#2535C2214yescomplemented
118#2534C2214yescomplemented
119#2534C2214yescomplemented
120#2534C2214yescomplemented
121#2532C2214yescomplemented
122#2531C2214yescomplemented
123#2526C2214yescomplemented
124#2526C2214yescomplemented
125#2518C2214yescomplemented
126#2513C2212yescomplemented
127#2512C2212yescomplemented
128#2510C2214yescomplemented
129#2510C2214yescomplemented
130#2509C2212yescomplemented
131#2508C2212yescomplemented
132#2504C2212yes—
133#2504C2212yescomplemented
134#2495C2212yescomplemented
135#2494C2212yescomplemented
136#2491C2212yescomplemented
137#2490C2212yescomplemented
138#2488C2214yescomplemented
139#2486C2212yescomplemented
140#2481C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2463C2214yescomplemented
146#2460C2214yescomplemented
147#2459C2214yescomplemented
148#2457C2214yescomplemented
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2454C2212yescomplemented
153#2452C2212yescomplemented
154#2447C2214yescomplemented
155#2445C2212yescomplemented
156#2445C2212yescomplemented
157#2442C2212yescomplemented
158#2441C2212yescomplemented
159#2440C2212yescomplemented
160#2439C2212yescomplemented
161#2438C2214yescomplemented
162#2437C2214yes—
163#2433C2212yes—
164#2433C2212yescomplemented
165#2432C2214yescomplemented
166#2430C2214yescomplemented
167#2428C2212yescomplemented
168#2428C2212yescomplemented
169#2424C2214yescomplemented
170#2422C2212yescomplemented
171#2422C2214yescomplemented
172#2420C2212yescomplemented
173#2419C2214yescomplemented
174#2419C2214yescomplemented
175#2418C2214yescomplemented
176#2417C2214yescomplemented
177#2416C2212yescomplemented
178#2416C2212yescomplemented
179#2414C2212yes—
180#2414C2214yes—
181#2414C2212yes—
182#2414C2212yescomplemented
183#2414C2214yescomplemented
184#2414C2212yescomplemented
185#2412C2214yescomplemented
186#2412C2214yescomplemented
187#2412C2214yescomplemented
188#2410C2214yescomplemented
189#2408C2212yescomplemented
190#2407C2214yescomplemented
191#2407C2214yescomplemented
192#2404C2214yescomplemented
193#2403C2214yes—
194C2×#394C2212yes—
195C2×#392C2212yes—
196#2377C2214yescomplemented
197#2363C2212yescomplemented
198#2363C2212yescomplemented
199#2361C2212yes—
200#2361C2212yes—
201#2361C2212yescomplemented
202#2361C2212yescomplemented
203#2358C2214yescomplemented
204#2358C2214yescomplemented
205#2353C2214yescomplemented
206#2345C2212yescomplemented
207#2342C2214yescomplemented
208D4×C22⋊C4C2214yes—
209D4×C22⋊C4C2214yes—
210D4×C22⋊C4C2212yescomplemented
211#2331C2212yescomplemented
212#2328C2212yescomplemented
213#2325C2212yescomplemented
214#2325C2212yescomplemented
215#2324C2212yescomplemented
216#2324C2212yescomplemented
217#2324C2212yescomplemented
218#2324C2212yescomplemented
219#2319C2212yescomplemented
220#2319C2212yescomplemented
221#2318C2212yescomplemented
222#2318C2212yescomplemented
223#2318C2212yescomplemented
224#2318C2212yescomplemented
225#2317C2211yescharacteristic, complemented
226#2317C2211yescharacteristic, complemented
227#2316C2211yescharacteristic, complemented
228#2316C2211yescharacteristic, complemented
229#2315C2211yescharacteristic, complemented
230#2315C2211yescharacteristic, complemented
231#2315C2212yescomplemented
232#2313C2211yescharacteristic, complemented
233#2313C2211yescharacteristic, complemented
234#2312C2212yes—
235#2312C2212yescomplemented
236#2309C2211yescharacteristic, complemented
237#2308C2212yes—
238#2308C2212yes—
239C4×#121C2212yes—
240C4×#121C2212yes—
241C4×#121C2212yescomplemented
242C4×#121C2212yescomplemented
243C2×#390C2212yescomplemented
244C2×#390C2211yescharacteristic, complemented
245C2×#389C2211yescharacteristic, complemented
246#2290C2212yescomplemented
247#2290C2212yescomplemented
248#2290C2212yescomplemented
249#2290C2212yescomplemented
250C2×#388C2212yescomplemented
251#2283C2212yescomplemented
252#2283C2212yescomplemented
253#2280C2211yescharacteristic
254#2280C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic, complemented
257#2274C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41C2314yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268#546—416no—
269#544—44no—
270#534—48no—
271#532—48no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2312yes—
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#125C2312yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—44no—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320#518—44no—
321C2×C4×D4—28no—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×#117—44no—
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374C22×C42C2312yes—
375C22×C42C2312yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2314yes—
385#399C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
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#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#395C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#386C2312yes—
573#386C2312yes—
574#386C2312yes—
575#386C2312yes—
576#386C2312yes—
577#386C2312yes—
578#386C2312yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#385C2312yes—
614#385C2312yes—
615#385C2312yes—
616#385C2312yes—
617#385C2312yes—
618#385C2312yes—
619#385C2312yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#384C2312yes—
637#384C2312yes—
638#383C2314yes—
639#383C2314yes—
640#383C2312yes—
641#383C2312yes—
642#382C2312yes—
643#382C2312yes—
644#382C2312yes—
645#382C2312yes—
646#382C2312yes—
647#382C2312yes—
648#382C2314yes—
649#381C2312yes—
650#381C2312yes—
651#381C2314yes—
652#381C2314yes—
653#381C2312yes—
654#381C2312yes—
655#381C2314yes—
656#381C2314yes—
657#381C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2311yescharacteristic
661#380C2312yes—
662#380C2311yescharacteristic
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2311yescharacteristic
669#380C2311yescharacteristic
670#380C2311yescharacteristic
671#380C2311yescharacteristic
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2314yes—
683#380C2312yes—
684#379C2312yes—
685#379C2312yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2312yes—
715#376C2312yes—
716#376C2314yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C25C2412yes—
723C25C2411yescharacteristic
724C25C2411yescharacteristic
725C25C2412yes—
726C2×#41—48no—
727C2×#41—48no—
728C2×#41—84no—
729C22×Q8C2414yes—
730C22×D4—24no—
731C22×D4—24no—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—28no—
735C22×D4—24no—
736C22×D4—24no—
737C22×D4—42no—
738C22×D4—42no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—42no—
742C22×D4—42no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—82no—
746C22×D4—82no—
747C22×D4—82no—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C23×C4—24no—
767C23×C4—42no—
768C23×C4—42no—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4#4118yescomplemented
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C4⋊Q8—28no—
798C4⋊Q8—44no—
799#127—44no—
800#127—44no—
801#126—84no—
802#125—44no—
803#125—44no—
804#124—48no—
805#124—48no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—84no—
811#123—84no—
812#123—84no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—84no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—44no—
834#121—48no—
835#121—84no—
836#120—216no—
837#120—48no—
838#120—48no—
839#120—48no—
840#120—84no—
841#120—84no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—28no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—48no—
853C4×D4—48no—
854C4×D4—48no—
855C4×D4—48no—
856C4×D4—84no—
857C4×D4—84no—
858C4×D4—84no—
859#117—24no—
860#117—24no—
861#117—42no—
862#117—42no—
863#117—42no—
864#117—42no—
865#117—44no—
866#117—44no—
867#117—42no—
868#117—42no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—24no—
872C2×C4⋊C4—24no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—42no—
876C2×C4⋊C4—82no—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C22⋊C4—24no—
923C2×C22⋊C4—28no—
924C2×C22⋊C4—24no—
925C2×C22⋊C4—28no—
926C2×C22⋊C4—28no—
927C2×C22⋊C4—44no—
928C2×C22⋊C4—48no—
929C2×C22⋊C4—44no—
930C2×C22⋊C4—44no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—82no—
935C2×C22⋊C4—82no—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C42—24no—
1003C2×C42—44no—
1004C2×C42—44no—
1005C2×C42—44no—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—24no—
1081C24—24no—
1082C24—24no—
1083C24—24no—
1084C24—41no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—42no—
1093C24—42no—
1094C24—42no—
1095C24—42no—
1096C24—42no—
1097C24—42no—
1098C24—42no—
1099C24—42no—
1100C24—42no—
1101C24—42no—
1102C24C2×#4114yes—
1103C24H(5,𝔽2)14yes—
1104C24C2514yes—
1105C24C2514yes—
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108C24C2512yes—
1109C24C2511yescharacteristic
1110#41—832no—
1111C2×Q8—28no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—416no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—416no—
1170C2×D4—88no—
1171C2×D4—816no—
1172C2×D4—816no—
1173C2×D4—816no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—28no—
1197C22×C4—416no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—44no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—88no—
1245C22×C4C2×#4114yes—
1246C22×C4C2×#4114yes—
1247C22×C4C2×#4114yes—
1248C22×C4C2×#4114yes—
1249C22×C4C2×#4114yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4H(5,𝔽2)14yes—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—28no—
1426C23—28no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—24no—
1432C23—24no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—48no—
1446C23—48no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23C22×#4112yes—
1468C23C22×#4112yes—
1469C23C22×#4112yes—
1470C23C2×H(5,𝔽2)14yes—
1471C23C2×H(5,𝔽2)12yes—
1472C23#58512yes—
1473C23C2611yescharacteristic
1474Q8—88no—
1475D4—416no—
1476D4—48no—
1477D4—48no—
1478D4—48no—
1479D4—416no—
1480D4—416no—
1481D4—48no—
1482D4—48no—
1483D4—84no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—88no—
1490D4—88no—
1491D4—164no—
1492D4—164no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—28no—
1502C2×C4—28no—
1503C2×C4—28no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—82no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—88no—
1576C2×C4—162no—
1577C2×C4—164no—
1578C2×C4—164no—
1579C2×C4—162no—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C2×H(5,𝔽2)14yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4#58512yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—24no—
1598C22—22no—
1599C22—22no—
1600C22—24no—
1601C22—24no—
1602C22—42no—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—44no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—44no—
1624C22—44no—
1625C22—44no—
1626C22—44no—
1627C22—44no—
1628C22—88no—
1629C22—88no—
1630C22—168no—
1631C22—168no—
1632C22#349414yes—
1633C22C23×#4111yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22H(7,𝔽2)11yescharacteristic
1639C22H(7,𝔽2)11yescharacteristic
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—24no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—42no—
1662C4#350514yes—
1663C2—24no—
1664C2—42no—
1665C2—44no—
1666C2—42no—
1667C2—84no—
1668C2—84no—
1669C2C2×#350511yescharacteristic
1670C2C2×#349411yescharacteristic
1671C2#6285511yescharacteristic
1672C2#6289211yescharacteristic
1673C2#6289911yescharacteristic
1674C2#6290511yescharacteristic
1675C2#6291011yescharacteristic
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. #47924C2semidirect
2. #47921C2semidirect
3. #47016C2semidirect
4. #46411C2semidirect
5. #43050C2semidirect
6. #42997C2semidirect
7. #39550C2semidirect
8. #39548C2semidirect
9. #39499C2semidirect
10. #39486C2semidirect
11. #39059C2semidirect
12. #39052C2semidirect
13. #38068C2semidirect
14. #38056C2semidirect
15. #37946C2semidirect
16. #37756C2semidirect
17. #37450C2semidirect
18. #37370C2semidirect
19. #37331C2semidirect
20. #36168C2semidirect
21. #36123C2semidirect
22. #35590C2semidirect
23. #35524C2semidirect
24. #35253C2semidirect
25. #35000C2semidirect
26. C2×#2414C2semidirect
27. #34379C2semidirect
28. #34204C2semidirect
29. #34057C2semidirect
30. C2×#546C22semidirect
31. C2×#544C22semidirect
33. C2×#532C22semidirect
36. C22×#121C22semidirect
37. C2×#518C22semidirect
40. #2857C22semidirect
41. #2856C22semidirect
43. #2854C22semidirect
44. #2854C22semidirect
45. #2851C22semidirect
46. #2851C22semidirect
48. #2815C22semidirect
49. #2803C22semidirect
50. #2797C22semidirect
51. #2796C22semidirect
52. #2795C22semidirect
53. #2787C22semidirect
54. #2783C22semidirect
55. #2779C22semidirect
56. #2778C22semidirect
57. #2775C22semidirect
58. #2772C22semidirect
59. #2770C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2756C22semidirect
63. #2753C22semidirect
64. #2753C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2746C22semidirect
68. #2740C22semidirect
69. #2731C22semidirect
70. #2730C22semidirect
71. #2724C22semidirect
72. #2714C22semidirect
73. #2711C22semidirect
74. #2706C22semidirect
75. #2706C22semidirect
76. #2703C22semidirect
77. #2701C22semidirect
78. #2701C22semidirect
79. #2698C22semidirect
80. #2697C22semidirect
81. #2693C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2685C22semidirect
85. #2682C22semidirect
86. #2678C22semidirect
87. #2676C22semidirect
88. #2668C22semidirect
89. #2647C22semidirect
90. #2644C22semidirect
91. #2644C22semidirect
92. #2641C22semidirect
93. #2629C22semidirect
94. #2628C22semidirect
95. #2619C22semidirect
96. #2619C22semidirect
101. #2617C22semidirect
102. #2617C22semidirect
103. #2603C22semidirect
104. #2602C22semidirect
105. #2602C22semidirect
106. #2600C22semidirect
107. #2597C22semidirect
108. #2578C22semidirect
109. #2577C22semidirect
110. #2576C22semidirect
111. #2572C22semidirect
112. #2559C22semidirect
113. #2557C22semidirect
114. #2555C22semidirect
115. #2543C22semidirect
116. #2543C22semidirect
117. #2535C22semidirect
118. #2534C22semidirect
119. #2534C22semidirect
120. #2534C22semidirect
121. #2532C22semidirect
122. #2531C22semidirect
123. #2526C22semidirect
124. #2526C22semidirect
125. #2518C22semidirect
126. #2513C22semidirect
127. #2512C22semidirect
128. #2510C22semidirect
129. #2510C22semidirect
130. #2509C22semidirect
131. #2508C22semidirect
133. #2504C22semidirect
134. #2495C22semidirect
135. #2494C22semidirect
136. #2491C22semidirect
137. #2490C22semidirect
138. #2488C22semidirect
139. #2486C22semidirect
140. #2481C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2463C22semidirect
146. #2460C22semidirect
147. #2459C22semidirect
148. #2457C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2454C22semidirect
153. #2452C22semidirect
154. #2447C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2442C22semidirect
158. #2441C22semidirect
159. #2440C22semidirect
160. #2439C22semidirect
161. #2438C22semidirect
164. #2433C22semidirect
165. #2432C22semidirect
166. #2430C22semidirect
167. #2428C22semidirect
168. #2428C22semidirect
169. #2424C22semidirect
170. #2422C22semidirect
171. #2422C22semidirect
172. #2420C22semidirect
173. #2419C22semidirect
174. #2419C22semidirect
175. #2418C22semidirect
176. #2417C22semidirect
177. #2416C22semidirect
178. #2416C22semidirect
182. #2414C22semidirect
183. #2414C22semidirect
184. #2414C22semidirect
185. #2412C22semidirect
186. #2412C22semidirect
187. #2412C22semidirect
188. #2410C22semidirect
189. #2408C22semidirect
190. #2407C22semidirect
191. #2407C22semidirect
192. #2404C22semidirect
196. #2377C22semidirect
197. #2363C22semidirect
198. #2363C22semidirect
201. #2361C22semidirect
202. #2361C22semidirect
203. #2358C22semidirect
204. #2358C22semidirect
205. #2353C22semidirect
206. #2345C22semidirect
207. #2342C22semidirect
210. D4×C22⋊C4C22semidirect
211. #2331C22semidirect
212. #2328C22semidirect
213. #2325C22semidirect
214. #2325C22semidirect
215. #2324C22semidirect
216. #2324C22semidirect
217. #2324C22semidirect
218. #2324C22semidirect
219. #2319C22semidirect
220. #2319C22semidirect
221. #2318C22semidirect
222. #2318C22semidirect
223. #2318C22semidirect
224. #2318C22semidirect
225. #2317C22semidirect
226. #2317C22semidirect
227. #2316C22semidirect
228. #2316C22semidirect
229. #2315C22semidirect
230. #2315C22semidirect
231. #2315C22semidirect
232. #2313C22semidirect
233. #2313C22semidirect
235. #2312C22semidirect
236. #2309C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. C2×#390C22semidirect
244. C2×#390C22semidirect
245. C2×#389C22semidirect
246. #2290C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
250. C2×#388C22semidirect
251. #2283C22semidirect
252. #2283C22semidirect
256. C2×#380C22semidirect
257. #2274C22semidirect
258. C2×C4×C22⋊C4C22semidirect
771. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#479242
#479212
#470162
#464112
#430502
#429972
#395502
#395482
#394992
#394862
#390592
#390522
#380682
#380562
#379462
#377562
#374502
#373702
#373312
#361682
#361232
#355902
#355242
#352532
#350002
C2×#24142
#343792
#342042
#340572