Finite Group Databasebeta

← #7655962

Subgroups — #7655962

Order 512.

5562 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42757C212yesmaximal, complemented
2#42739C212yesmaximal, complemented
3#42619C212yesmaximal, complemented
4#42581C212yesmaximal, complemented
5#41858C214yesmaximal, complemented
6#41816C214yesmaximal, complemented
7#41342C214yesmaximal, complemented
8#41260C214yesmaximal, complemented
9#39420C212yesmaximal, complemented
10#39412C212yesmaximal, complemented
11#39367C211yesmaximal, characteristic, complemented
12#39358C211yesmaximal, characteristic, complemented
13#38904C212yesmaximal, complemented
14#38246C214yesmaximal, complemented
15#37505C212yesmaximal, complemented
16#37483C214yesmaximal, complemented
17#36587C211yesmaximal, characteristic, complemented
18#36586C211yesmaximal, characteristic, complemented
19#36235C212yesmaximal, complemented
20#36044C212yesmaximal, complemented
21#36022C212yesmaximal, complemented
22#36004C212yesmaximal, complemented
23#35897C212yesmaximal, complemented
24#35005C211yesmaximal, characteristic, complemented
25#34993C212yesmaximal, complemented
26#34570C211yesmaximal, characteristic, complemented
27#34570C212yesmaximal, complemented
28#34290C212yesmaximal, complemented
29C2×#2363C211yesmaximal, characteristic, complemented
30C2×#555C2212yescomplemented
31C2×D42C2212yes—
32C2×#543C2212yescomplemented
33C2×#538C2212yescomplemented
34C2×#534C2212yes—
35C22×#121C2211yescharacteristic
36C2×#518C2212yescomplemented
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic, complemented
39#2857C2211yescharacteristic, complemented
40#2856C2211yescharacteristic
41#2850C2212yes—
42#2850C2214yescomplemented
43#2850C2212yescomplemented
44#2847C2212yescomplemented
45#2838C2214yescomplemented
46#2837C2214yescomplemented
47#2826C2214yescomplemented
48#2825C2214yescomplemented
49#2825C2214yescomplemented
50#2824C2214yescomplemented
51#2797C2214yescomplemented
52#2796C2214yescomplemented
53#2778C2214yescomplemented
54#2746C2214yescomplemented
55#2745C2214yescomplemented
56#2735C2214yescomplemented
57#2732C2212yescomplemented
58#2730C2214yescomplemented
59#2728C2214yescomplemented
60#2723C2214yescomplemented
61#2706C2214yescomplemented
62#2705C2214yescomplemented
63#2697C2214yescomplemented
64#2692C2214yescomplemented
65#2688C2214yescomplemented
66#2688C2214yescomplemented
67#2683C2212yescomplemented
68#2682C2212yescomplemented
69#2681C2214yescomplemented
70#2679C2212yescomplemented
71#2678C2214yescomplemented
72#2678C2214yescomplemented
73#2676C2214yescomplemented
74#2670C2214yescomplemented
75#2668C2214yescomplemented
76#2668C2214yescomplemented
77#2663C2214yescomplemented
78#2653C2214yescomplemented
79#2653C2212yescomplemented
80#2652C2214yescomplemented
81#2652C2212yescomplemented
82#2652C2214yescomplemented
83#2649C2214yescomplemented
84#2649C2212yescomplemented
85#2648C2212yescomplemented
86#2648C2214yescomplemented
87#2648C2214yescomplemented
88#2648C2214yescomplemented
89#2647C2212yescomplemented
90#2646C2211yescharacteristic, complemented
91#2644C2212yescomplemented
92#2643C2214yescomplemented
93#2643C2212yescomplemented
94#2643C2214yescomplemented
95#2639C2211yescharacteristic
96#2639C2212yescomplemented
97#2639C2214yescomplemented
98#2639C2214yescomplemented
99#2635C2214yescomplemented
100#2631C2214yescomplemented
101#2628C2212yescomplemented
102#2626C2212yescomplemented
103#2626C2211yescharacteristic, complemented
104#2624C2212yescomplemented
105#2622C2214yescomplemented
106#2622C2212yescomplemented
107#2622C2214yescomplemented
108#2617C2212yes—
109#2617C2211yescharacteristic
110#2617C2214yescomplemented
111#2617C2212yescomplemented
112#2610C2214yescomplemented
113#2609C2214yescomplemented
114#2598C2214yescomplemented
115#2597C2214yescomplemented
116#2596C2214yescomplemented
117#2576C2214yescomplemented
118#2571C2211yescharacteristic, complemented
119#2571C2211yescharacteristic, complemented
120#2560C2214yescomplemented
121#2559C2214yescomplemented
122#2557C2214yescomplemented
123#2557C2214yescomplemented
124#2554C2214yescomplemented
125#2548C2211yescharacteristic, complemented
126#2547C2211yescharacteristic, complemented
127#2542C2212yescomplemented
128#2540C2214yescomplemented
129#2539C2214yescomplemented
130#2538C2212yescomplemented
131#2535C2212yes—
132#2535C2212yes—
133#2531C2214yescomplemented
134#2526C2214yescomplemented
135#2515C2214yescomplemented
136#2514C2212yescomplemented
137#2513C2212yescomplemented
138#2513C2212yescomplemented
139#2510C2214yescomplemented
140#2510C2214yescomplemented
141#2509C2212yescomplemented
142#2504C2212yescomplemented
143#2500C2212yescomplemented
144#2496C2212yescomplemented
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2491C2212yescomplemented
148#2488C2214yescomplemented
149#2488C2214yescomplemented
150#2488C2214yescomplemented
151#2488C2214yescomplemented
152#2487C2212yescomplemented
153#2485C2212yescomplemented
154#2482C2214yescomplemented
155#2476C2214yescomplemented
156#2474C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2472C2214yescomplemented
164#2461C2214yescomplemented
165#2461C2214yescomplemented
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2452C2212yescomplemented
169#2449C2214yescomplemented
170#2448C2212yescomplemented
171#2447C2212yescomplemented
172#2445C2212yescomplemented
173#2444C2214yescomplemented
174#2444C2214yescomplemented
175#2443C2214yescomplemented
176#2440C2212yescomplemented
177#2439C2212yescomplemented
178#2437C2214yescomplemented
179#2433C2212yescomplemented
180#2428C2212yes—
181#2428C2212yes—
182#2428C2212yescomplemented
183#2426C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2422C2212yescomplemented
188#2422C2212yescomplemented
189#2422C2212yescomplemented
190#2420C2212yescomplemented
191#2420C2212yescomplemented
192#2416C2212yes—
193#2414C2212yescomplemented
194#2410C2214yes—
195#2410C2214yescomplemented
196#2408C2212yescomplemented
197#2408C2212yescomplemented
198#2408C2212yescomplemented
199#2403C2214yescomplemented
200#2401C2212yescomplemented
201#2401C2214yescomplemented
202#2398C2214yescomplemented
203#2398C2212yescomplemented
204#2395C2212yescomplemented
205#2395C2214yescomplemented
206#2392C2212yescomplemented
207#2392C2214yescomplemented
208#2366C2212yescomplemented
209#2366C2211yescharacteristic, complemented
210#2365C2211yescharacteristic, complemented
211#2364C2214yescomplemented
212#2363C2212yescomplemented
213#2363C2214yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2363C2214yescomplemented
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2363C2212yescomplemented
220#2361C2212yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2357C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2354C2212yescomplemented
226#2354C2211yescharacteristic, complemented
227#2352C2212yescomplemented
228#2349C2212yescomplemented
229#2347C2212yescomplemented
230#2346C2212yescomplemented
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2212yescomplemented
233D4×C22⋊C4C2214yescomplemented
234#2328C2212yescomplemented
235#2325C2212yescomplemented
236#2325C2214yescomplemented
237#2324C2212yescomplemented
238#2321C2214yescomplemented
239#2308C2214yescomplemented
240C4×C22⋊Q8C2211yescharacteristic, complemented
241C4×C22⋊Q8C2212yescomplemented
242C4×#121C2211yescharacteristic
243C4×#121C2212yescomplemented
244C4×#121C2212yescomplemented
245C4×#120C2214yescomplemented
246C4×#120C2212yescomplemented
247C2×#390C2211yescharacteristic
248C2×#390C2212yescomplemented
249C2×#389C2211yescharacteristic, complemented
250#2290C2214yescomplemented
251#2290C2212yescomplemented
252C2×#388C2212yescomplemented
253C2×#386C2212yescomplemented
254C2×#386C2214yescomplemented
255#2275C2212yescomplemented
256C2×C4×C4⋊C4C2211yescharacteristic, complemented
257C2×C4×C22⋊C4C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C23×D4C2314yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265#555—48no—
266D42—216no—
267#543—48no—
268#538—48no—
269#534—48no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274C2×#126C2314yes—
275C2×#124C2314yes—
276C2×#124C2314yes—
277C2×#124C2314yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×#121—28no—
294C2×#121C2312yes—
295C2×#121C2314yes—
296C2×#121C2312yes—
297C2×#121C2311yescharacteristic
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2312yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320#518—48no—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2312yes—
323C2×C4×D4—44no—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×#117—44no—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2314yes—
347C2×#117C2314yes—
348C2×#117C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2312yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2312yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#393C2312yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2312yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2312yes—
487#392C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#386C2314yes—
583#386C2312yes—
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#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#384C2311yescharacteristic
645#384C2311yescharacteristic
646#384C2312yes—
647#383C2314yes—
648#382C2312yes—
649#382C2312yes—
650#382C2312yes—
651#382C2312yes—
652#382C2314yes—
653#382C2312yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2311yescharacteristic
667#380C2311yescharacteristic
668#380C2314yes—
669#379C2314yes—
670#379C2314yes—
671#379C2314yes—
672#379C2314yes—
673#379C2312yes—
674#379C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2311yescharacteristic
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713#376C2312yes—
714#376C2314yes—
715C2×#95C2311yescharacteristic
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2312yes—
721C25C2411yescharacteristic
722C25C2412yes—
723C25C2414yes—
724C22×Q8C2411yescharacteristic
725C22×Q8C2412yes—
726C22×Q8C2414yes—
727C22×D4—28no—
728C22×D4—216no—
729C22×D4—28no—
730C22×D4—42no—
731C22×D4—44no—
732C22×D4—42no—
733C22×D4—44no—
734C22×D4—48no—
735C22×D4—48no—
736C22×D4—82no—
737C22×D4—82no—
738C22×D4#4118yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2411yescharacteristic
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C23×C4—24no—
759C23×C4—42no—
760C23×C4—42no—
761C23×C4—44no—
762C23×C4—44no—
763C23×C4—82no—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2411yescharacteristic
783C4⋊Q8—42no—
784C4⋊Q8—44no—
785#127—28no—
786#127—42no—
787#126—48no—
788#124—48no—
789#124—48no—
790#124—48no—
791#124—82no—
792#124—82no—
793#123—48no—
794#123—48no—
795#123—48no—
796#123—84no—
797C22⋊Q8—28no—
798C22⋊Q8—24no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—48no—
803C22⋊Q8—48no—
804C22⋊Q8—84no—
805C22⋊Q8—84no—
806#121—28no—
807#121—28no—
808#121—216no—
809#121—28no—
810#121—216no—
811#121—28no—
812#121—24no—
813#121—28no—
814#121—48no—
815#121—48no—
816#121—44no—
817#121—44no—
818#121—44no—
819#121—44no—
820#121—48no—
821#121—84no—
822#121—84no—
823#120—216no—
824#120—216no—
825#120—48no—
826#120—48no—
827#120—44no—
828#120—48no—
829#120—84no—
830#120—84no—
831#120—84no—
832C4×Q8—42no—
833C4×Q8—82no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—28no—
837C4×D4—28no—
838C4×D4—48no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—42no—
844C4×D4—44no—
845C4×D4—48no—
846C4×D4—44no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—82no—
851C4×D4—84no—
852#117—28no—
853#117—28no—
854#117—44no—
855#117—48no—
856#117—48no—
857#117—44no—
858C2×C4⋊C4—24no—
859C2×C4⋊C4—24no—
860C2×C4⋊C4—42no—
861C2×C4⋊C4—82no—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C22⋊C4—28no—
908C2×C22⋊C4—28no—
909C2×C22⋊C4—24no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—84no—
917C2×C22⋊C4—82no—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C42—44no—
986C2×C42—42no—
987C2×C42—42no—
988C2×C42—82no—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062C24—24no—
1063C24—24no—
1064C24—22no—
1065C24—28no—
1066C24—22no—
1067C24—22no—
1068C24—41no—
1069C24—42no—
1070C24—42no—
1071C24—41no—
1072C24—42no—
1073C24—42no—
1074C24—41no—
1075C24—41no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24C2×#4118yes—
1083C24C2512yes—
1084C24C2514yes—
1085C24C2512yes—
1086C24C2514yes—
1087C24C2511yescharacteristic
1088C2×Q8—22no—
1089C2×Q8—24no—
1090C2×Q8—41no—
1091C2×Q8—42no—
1092C2×Q8—41no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—44no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—416no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—41no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—432no—
1154C2×D4—816no—
1155C2×D4—832no—
1156C2×D4C2×#4118yes—
1157C2×D4C2×#4118yes—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—28no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—41no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—416no—
1214C22×C4—816no—
1215C22×C4C2×#4114yes—
1216C22×C4H(5,𝔽2)14yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4H(5,𝔽2)14yes—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C42—24no—
1354C42—28no—
1355C42—24no—
1356C42—28no—
1357C42—24no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—41no—
1362C42—41no—
1363C42—44no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—216no—
1383C23—22no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—24no—
1395C23—22no—
1396C23—24no—
1397C23—22no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—48no—
1405C23—48no—
1406C23—44no—
1407C23—44no—
1408C23—416no—
1409C23—44no—
1410C23—84no—
1411C23—82no—
1412C23—84no—
1413C23—82no—
1414C23—84no—
1415C23—82no—
1416C23—84no—
1417C23—82no—
1418C23—88no—
1419C23—88no—
1420C23—164no—
1421C23—164no—
1422C23—164no—
1423C23—164no—
1424C23C22×#4118yes—
1425C23C22×#4112yes—
1426C23C2×H(5,𝔽2)12yes—
1427C23#58512yes—
1428C23C2611yescharacteristic
1429Q8—82no—
1430Q8—84no—
1431Q8—164no—
1432D4—216no—
1433D4—48no—
1434D4—416no—
1435D4—416no—
1436D4—48no—
1437D4—48no—
1438D4—84no—
1439D4—82no—
1440D4—88no—
1441D4—88no—
1442D4—88no—
1443D4—88no—
1444D4—88no—
1445D4—84no—
1446D4—84no—
1447D4—164no—
1448D4—162no—
1449D4—164no—
1450D4—164no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—28no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—84no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—164no—
1533C2×C4—164no—
1534C2×C4—164no—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)12yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×H(5,𝔽2)12yes—
1541C2×C4#58512yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—28no—
1549C22—28no—
1550C22—28no—
1551C22—44no—
1552C22—44no—
1553C22—44no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22—42no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—44no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—44no—
1576C22—816no—
1577C22—88no—
1578C22—1616no—
1579C22#351414yes—
1580C22C23×#4111yescharacteristic
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22H(7,𝔽2)11yescharacteristic
1586C22H(7,𝔽2)11yescharacteristic
1587C4—24no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4—41no—
1602C4—41no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4#345914yes—
1611C2—24no—
1612C2—48no—
1613C2—82no—
1614C2—84no—
1615C2—82no—
1616C2C2×#345911yescharacteristic
1617C2C2×#351411yescharacteristic
1618C2#6284611yescharacteristic
1619C2#6289611yescharacteristic
1620C2#6290511yescharacteristic
1621C2#6291011yescharacteristic
1622C2#6291611yescharacteristic
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. #42757C2semidirect
2. #42739C2semidirect
3. #42619C2semidirect
4. #42581C2semidirect
5. #41858C2semidirect
6. #41816C2semidirect
7. #41342C2semidirect
8. #41260C2semidirect
9. #39420C2semidirect
10. #39412C2semidirect
11. #39367C2semidirect
12. #39358C2semidirect
13. #38904C2semidirect
14. #38246C2semidirect
15. #37505C2semidirect
16. #37483C2semidirect
17. #36587C2semidirect
18. #36586C2semidirect
19. #36235C2semidirect
20. #36044C2semidirect
21. #36022C2semidirect
22. #36004C2semidirect
23. #35897C2semidirect
24. #35005C2semidirect
25. #34993C2semidirect
26. #34570C2semidirect
27. #34570C2semidirect
28. #34290C2semidirect
29. C2×#2363C2semidirect
30. C2×#555C22semidirect
32. C2×#543C22semidirect
33. C2×#538C22semidirect
36. C2×#518C22semidirect
38. C22×#117C22semidirect
39. #2857C22semidirect
42. #2850C22semidirect
43. #2850C22semidirect
44. #2847C22semidirect
45. #2838C22semidirect
46. #2837C22semidirect
47. #2826C22semidirect
48. #2825C22semidirect
49. #2825C22semidirect
50. #2824C22semidirect
51. #2797C22semidirect
52. #2796C22semidirect
53. #2778C22semidirect
54. #2746C22semidirect
55. #2745C22semidirect
56. #2735C22semidirect
57. #2732C22semidirect
58. #2730C22semidirect
59. #2728C22semidirect
60. #2723C22semidirect
61. #2706C22semidirect
62. #2705C22semidirect
63. #2697C22semidirect
64. #2692C22semidirect
65. #2688C22semidirect
66. #2688C22semidirect
67. #2683C22semidirect
68. #2682C22semidirect
69. #2681C22semidirect
70. #2679C22semidirect
71. #2678C22semidirect
72. #2678C22semidirect
73. #2676C22semidirect
74. #2670C22semidirect
75. #2668C22semidirect
76. #2668C22semidirect
77. #2663C22semidirect
78. #2653C22semidirect
79. #2653C22semidirect
80. #2652C22semidirect
81. #2652C22semidirect
82. #2652C22semidirect
83. #2649C22semidirect
84. #2649C22semidirect
85. #2648C22semidirect
86. #2648C22semidirect
87. #2648C22semidirect
88. #2648C22semidirect
89. #2647C22semidirect
90. #2646C22semidirect
91. #2644C22semidirect
92. #2643C22semidirect
93. #2643C22semidirect
94. #2643C22semidirect
96. #2639C22semidirect
97. #2639C22semidirect
98. #2639C22semidirect
99. #2635C22semidirect
100. #2631C22semidirect
101. #2628C22semidirect
102. #2626C22semidirect
103. #2626C22semidirect
104. #2624C22semidirect
105. #2622C22semidirect
106. #2622C22semidirect
107. #2622C22semidirect
110. #2617C22semidirect
111. #2617C22semidirect
112. #2610C22semidirect
113. #2609C22semidirect
114. #2598C22semidirect
115. #2597C22semidirect
116. #2596C22semidirect
117. #2576C22semidirect
118. #2571C22semidirect
119. #2571C22semidirect
120. #2560C22semidirect
121. #2559C22semidirect
122. #2557C22semidirect
123. #2557C22semidirect
124. #2554C22semidirect
125. #2548C22semidirect
126. #2547C22semidirect
127. #2542C22semidirect
128. #2540C22semidirect
129. #2539C22semidirect
130. #2538C22semidirect
133. #2531C22semidirect
134. #2526C22semidirect
135. #2515C22semidirect
136. #2514C22semidirect
137. #2513C22semidirect
138. #2513C22semidirect
139. #2510C22semidirect
140. #2510C22semidirect
141. #2509C22semidirect
142. #2504C22semidirect
143. #2500C22semidirect
144. #2496C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2491C22semidirect
148. #2488C22semidirect
149. #2488C22semidirect
150. #2488C22semidirect
151. #2488C22semidirect
152. #2487C22semidirect
153. #2485C22semidirect
154. #2482C22semidirect
155. #2476C22semidirect
156. #2474C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2472C22semidirect
164. #2461C22semidirect
165. #2461C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
168. #2452C22semidirect
169. #2449C22semidirect
170. #2448C22semidirect
171. #2447C22semidirect
172. #2445C22semidirect
173. #2444C22semidirect
174. #2444C22semidirect
175. #2443C22semidirect
176. #2440C22semidirect
177. #2439C22semidirect
178. #2437C22semidirect
179. #2433C22semidirect
182. #2428C22semidirect
183. #2426C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2422C22semidirect
188. #2422C22semidirect
189. #2422C22semidirect
190. #2420C22semidirect
191. #2420C22semidirect
193. #2414C22semidirect
195. #2410C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2403C22semidirect
200. #2401C22semidirect
201. #2401C22semidirect
202. #2398C22semidirect
203. #2398C22semidirect
204. #2395C22semidirect
205. #2395C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
208. #2366C22semidirect
209. #2366C22semidirect
210. #2365C22semidirect
211. #2364C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2361C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2357C22semidirect
224. #2355C22semidirect
225. #2354C22semidirect
226. #2354C22semidirect
227. #2352C22semidirect
228. #2349C22semidirect
229. #2347C22semidirect
230. #2346C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. #2328C22semidirect
235. #2325C22semidirect
236. #2325C22semidirect
237. #2324C22semidirect
238. #2321C22semidirect
239. #2308C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#120C22semidirect
246. C4×#120C22semidirect
248. C2×#390C22semidirect
249. C2×#389C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
252. C2×#388C22semidirect
253. C2×#386C22semidirect
254. C2×#386C22semidirect
255. #2275C22semidirect
256. C2×C4×C4⋊C4C22semidirect
257. C2×C4×C22⋊C4C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#427572
#427392
#426192
#425812
#418582
#418162
#413422
#412602
#394202
#394122
#393672
#393582
#389042
#382462
#375052
#374832
#365872
#365862
#362352
#360442
#360222
#360042
#358972
#350052
#349932
#345702
#342902
C2×#23632