Finite Group Databasebeta

← #8418504

Subgroups — #8418504

Order 512.

5682 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57958C214yesmaximal, complemented
2#57142C214yesmaximal, complemented
3#56346C214yesmaximal, complemented
4#53878C212yesmaximal, complemented
5#53534C214yesmaximal, complemented
6#53508C214yesmaximal, complemented
7#53493C212yesmaximal, complemented
8#53088C212yesmaximal, complemented
9#52971C212yesmaximal, complemented
10#52966C212yesmaximal, complemented
11#52471C214yesmaximal, complemented
12#52422C212yesmaximal, complemented
13#45038C212yesmaximal, complemented
14#44892C212yesmaximal, complemented
15#44886C212yesmaximal, complemented
16#44868C212yesmaximal, complemented
17#42983C211yesmaximal, characteristic, complemented
18#42969C212yesmaximal, complemented
19#42598C212yesmaximal, complemented
20#42533C212yesmaximal, complemented
21#42483C212yesmaximal, complemented
22#42475C211yesmaximal, characteristic, complemented
23#38131C212yesmaximal, complemented
24#37674C212yesmaximal, complemented
25#37418C211yesmaximal, characteristic, complemented
26#36670C211yesmaximal, characteristic, complemented
27#36009C211yesmaximal, characteristic, complemented
28#35741C211yesmaximal, characteristic, complemented
29#35528C211yesmaximal, characteristic, complemented
30C2×#550C2212yescomplemented
31C2×#550C2211yescharacteristic, complemented
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×D42C2212yes—
36C2×#537C2212yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2212yescomplemented
39C2×#535C2211yescharacteristic, complemented
40C22×#127C2211yescharacteristic
41C2×#518C2211yescharacteristic, complemented
42#2850C2212yescomplemented
43#2837C2214yescomplemented
44#2833C2211yescharacteristic, complemented
45#2832C2211yescharacteristic, complemented
46#2831C2212yescomplemented
47#2830C2211yescharacteristic, complemented
48#2830C2212yescomplemented
49#2829C2212yescomplemented
50#2829C2214yescomplemented
51#2828C2211yescharacteristic, complemented
52#2828C2214yescomplemented
53#2827C2212yescomplemented
54#2826C2212yescomplemented
55#2826C2214yescomplemented
56#2825C2212yes—
57#2825C2214yescomplemented
58#2825C2214yescomplemented
59#2825C2214yescomplemented
60#2824C2212yescomplemented
61#2824C2214yescomplemented
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2212yes—
66#2812C2214yescomplemented
67#2796C2214yescomplemented
68#2778C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2778C2214yescomplemented
72#2778C2214yescomplemented
73#2760C2214yescomplemented
74#2753C2214yescomplemented
75#2753C2214yescomplemented
76#2753C2214yescomplemented
77#2752C2214yescomplemented
78#2746C2214yescomplemented
79#2743C2214yescomplemented
80#2743C2214yescomplemented
81#2736C2212yescomplemented
82#2735C2214yescomplemented
83#2735C2212yescomplemented
84#2728C2212yescomplemented
85#2728C2212yescomplemented
86#2708C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2699C2212yescomplemented
91#2699C2214yescomplemented
92#2699C2212yescomplemented
93#2699C2212yescomplemented
94#2697C2214yescomplemented
95#2693C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2682C2214yescomplemented
101#2679C2212yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2672C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2669C2214yescomplemented
123#2668C2214yescomplemented
124#2668C2214yescomplemented
125#2668C2214yescomplemented
126#2668C2214yescomplemented
127#2657C2212yes—
128#2656C2214yescomplemented
129#2651C2214yescomplemented
130#2648C2214yescomplemented
131#2645C2212yescomplemented
132#2643C2214yescomplemented
133#2635C2214yescomplemented
134#2635C2214yescomplemented
135#2635C2214yescomplemented
136#2635C2212yescomplemented
137#2624C2212yescomplemented
138#2621C2211yescharacteristic, complemented
139#2619C2212yes—
140#2619C2211yescharacteristic
141#2617C2212yes—
142#2617C2214yescomplemented
143#2615C2214yescomplemented
144#2613C2214yes—
145#2596C2214yescomplemented
146#2593C2214yescomplemented
147#2593C2212yescomplemented
148#2592C2212yescomplemented
149#2580C2211yescharacteristic, complemented
150#2547C2211yescharacteristic, complemented
151#2545C2212yescomplemented
152#2544C2212yescomplemented
153#2544C2212yescomplemented
154#2544C2212yescomplemented
155#2543C2214yescomplemented
156#2543C2212yescomplemented
157#2543C2214yescomplemented
158#2541C2212yes—
159#2541C2212yescomplemented
160#2541C2214yescomplemented
161#2541C2212yescomplemented
162#2541C2211yescharacteristic, complemented
163#2541C2212yescomplemented
164#2540C2212yescomplemented
165#2539C2212yescomplemented
166#2535C2214yescomplemented
167#2535C2211yescharacteristic, complemented
168#2516C2214yescomplemented
169#2513C2212yescomplemented
170#2508C2212yescomplemented
171#2504C2212yescomplemented
172#2503C2212yescomplemented
173#2494C2214yescomplemented
174#2494C2212yescomplemented
175#2486C2212yescomplemented
176#2472C2214yescomplemented
177#2464C2214yescomplemented
178#2461C2214yescomplemented
179#2456C2214yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2444C2214yescomplemented
186#2443C2214yescomplemented
187#2435C2212yes—
188#2433C2212yescomplemented
189#2433C2212yescomplemented
190#2433C2212yescomplemented
191#2432C2212yescomplemented
192#2431C2212yes—
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2431C2212yescomplemented
196#2428C2214yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2427C2212yescomplemented
204#2427C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2212yescomplemented
207#2425C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2420C2214yescomplemented
213#2420C2212yescomplemented
214#2418C2214yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2214yescomplemented
218#2415C2212yescomplemented
219#2414C2212yes—
220#2412C2214yescomplemented
221#2410C2214yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2408C2214yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2407C2212yescomplemented
230#2404C2212yescomplemented
231#2404C2214yescomplemented
232#2403C2212yes—
233#2403C2214yescomplemented
234#2403C2214yescomplemented
235#2401C2212yescomplemented
236#2398C2212yescomplemented
237#2396C2211yescharacteristic, complemented
238#2395C2212yescomplemented
239#2392C2211yescharacteristic
240#2392C2212yescomplemented
241C2×#397C2212yescomplemented
242#2388C2212yescomplemented
243#2388C2212yescomplemented
244#2366C2212yescomplemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2357C2211yescharacteristic, complemented
250#2349C2211yescharacteristic, complemented
251#2339C2212yescomplemented
252#2328C2212yescomplemented
253#2323C2212yescomplemented
254#2319C2212yescomplemented
255#2309C2211yescharacteristic
256#2297C2211yescharacteristic, complemented
257#2296C2211yescharacteristic, complemented
258#2290C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×D4C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2314yes—
268#550—44no—
269#550—48no—
270#547—44no—
271#546—48no—
272#546—48no—
273D42—48no—
274#537—48no—
275#535—44no—
276#535—44no—
277#535—48no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127—44no—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2314yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356#518—44no—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387#401C2312yes—
388#401C2314yes—
389#401C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2311yescharacteristic
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2311yescharacteristic
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2311yescharacteristic
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2311yescharacteristic
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#395C2311yescharacteristic
457#395C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2311yescharacteristic
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2312yes—
505#393C2312yes—
506#393C2311yescharacteristic
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2311yescharacteristic
513#392C2312yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#379C2312yes—
698#379C2312yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702#379C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C25C2412yes—
725C25C2412yes—
726C25C2414yes—
727C2×#41—28no—
728C2×#41—24no—
729C2×#41—42no—
730C2×#41—42no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—84no—
738C22×Q8C2412yes—
739C22×Q8C2411yescharacteristic
740C22×Q8C2411yescharacteristic
741C22×D4—24no—
742C22×D4—24no—
743C22×D4—24no—
744C22×D4—42no—
745C22×D4—42no—
746C22×D4—42no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—84no—
753C22×D4—84no—
754C22×D4—84no—
755C22×D4—84no—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C4⋊Q8—42no—
807#127—28no—
808#127—28no—
809#127—44no—
810#127—44no—
811#127—44no—
812#127—42no—
813#127—44no—
814#127—44no—
815#127—44no—
816#127—44no—
817#127—48no—
818#127—84no—
819#124—44no—
820#124—44no—
821#124—44no—
822#124—44no—
823#124—44no—
824#124—44no—
825#123—48no—
826#123—48no—
827#123—48no—
828#123—84no—
829#123—84no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—48no—
833C22⋊Q8—44no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—44no—
838#121—48no—
839#121—44no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—48no—
852#121—44no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—84no—
857#121—84no—
858#121—84no—
859#121—84no—
860#121—84no—
861#121—84no—
862#121—84no—
863#121—84no—
864#121—84no—
865#121—84no—
866#121—84no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—48no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—84no—
876#120—84no—
877#120—84no—
878#120—84no—
879#120—84no—
880#120—84no—
881#120—84no—
882#120—84no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—44no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—48no—
899C4×D4—84no—
900C4×D4—84no—
901C4×D4—84no—
902#117—24no—
903#117—42no—
904#117—44no—
905#117—42no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C22⋊C4—44no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
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×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42—42no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086C24—24no—
1087C24—24no—
1088C24—24no—
1089C24—42no—
1090C24—42no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—42no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24C2512yes—
1104C24C2514yes—
1105C24C2512yes—
1106C24C2514yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C24C2512yes—
1110#41—88no—
1111#41—816no—
1112#41—816no—
1113#41—816no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—22no—
1118C2×Q8—41no—
1119C2×Q8—42no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—416no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
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—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—88no—
1228C2×D4—816no—
1229C2×D4—832no—
1230C2×D4—832no—
1231C2×D4H(5,𝔽2)14yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4H(5,𝔽2)14yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4H(5,𝔽2)14yes—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
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—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—41no—
1410C42—41no—
1411C42—42no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—24no—
1455C23—22no—
1456C23—48no—
1457C23—84no—
1458C23—88no—
1459C23—88no—
1460C23—88no—
1461C23—88no—
1462C23—88no—
1463C23—88no—
1464C23—88no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—164no—
1470C23—164no—
1471C23—164no—
1472C23—164no—
1473C23C2×H(5,𝔽2)12yes—
1474C23C2×H(5,𝔽2)14yes—
1475C23C2611yescharacteristic
1476Q8—44no—
1477Q8—48no—
1478Q8—82no—
1479D4—28no—
1480D4—48no—
1481D4—48no—
1482D4—44no—
1483D4—48no—
1484D4—48no—
1485D4—88no—
1486D4—84no—
1487D4—82no—
1488D4—88no—
1489D4—88no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—84no—
1495D4—88no—
1496D4—82no—
1497D4—84no—
1498D4—84no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—84no—
1507D4—164no—
1508D4—164no—
1509D4—164no—
1510D4—162no—
1511D4—164no—
1512D4—164no—
1513D4—164no—
1514D4—164no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—28no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—162no—
1581C2×C4—162no—
1582C2×C4—164no—
1583C2×C4—164no—
1584C2×C4C2×H(5,𝔽2)14yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C22—22no—
1590C22—24no—
1591C22—28no—
1592C22—24no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—44no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—44no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—44no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—44no—
1632C22—168no—
1633C22—168no—
1634C22—1616no—
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22H(7,𝔽2)12yes—
1639C22H(7,𝔽2)12yes—
1640C4—22no—
1641C4—24no—
1642C4—42no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—44no—
1661C4#353714yes—
1662C2—44no—
1663C2—42no—
1664C2—82no—
1665C2—84no—
1666C2—82no—
1667C2—82no—
1668C2—84no—
1669C2C2×#353711yescharacteristic
1670C2#6287612yes—
1671C2#6304111yescharacteristic
1672C2#6304112yes—
1673C2#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. #57958C2semidirect
2. #57142C2semidirect
3. #56346C2semidirect
4. #53878C2semidirect
5. #53534C2semidirect
6. #53508C2semidirect
7. #53493C2semidirect
8. #53088C2semidirect
9. #52971C2semidirect
10. #52966C2semidirect
11. #52471C2semidirect
12. #52422C2semidirect
13. #45038C2semidirect
14. #44892C2semidirect
15. #44886C2semidirect
16. #44868C2semidirect
17. #42983C2semidirect
18. #42969C2semidirect
19. #42598C2semidirect
20. #42533C2semidirect
21. #42483C2semidirect
22. #42475C2semidirect
23. #38131C2semidirect
24. #37674C2semidirect
25. #37418C2semidirect
26. #36670C2semidirect
27. #36009C2semidirect
28. #35741C2semidirect
29. #35528C2semidirect
30. C2×#550C22semidirect
31. C2×#550C22semidirect
32. C2×#547C22semidirect
33. C2×#546C22semidirect
34. C2×#546C22semidirect
36. C2×#537C22semidirect
38. C2×#535C22semidirect
39. C2×#535C22semidirect
41. C2×#518C22semidirect
42. #2850C22semidirect
43. #2837C22semidirect
44. #2833C22semidirect
45. #2832C22semidirect
46. #2831C22semidirect
47. #2830C22semidirect
48. #2830C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2827C22semidirect
54. #2826C22semidirect
55. #2826C22semidirect
57. #2825C22semidirect
58. #2825C22semidirect
59. #2825C22semidirect
60. #2824C22semidirect
61. #2824C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2813C22semidirect
66. #2812C22semidirect
67. #2796C22semidirect
68. #2778C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2778C22semidirect
72. #2778C22semidirect
73. #2760C22semidirect
74. #2753C22semidirect
75. #2753C22semidirect
76. #2753C22semidirect
77. #2752C22semidirect
78. #2746C22semidirect
79. #2743C22semidirect
80. #2743C22semidirect
81. #2736C22semidirect
82. #2735C22semidirect
83. #2735C22semidirect
84. #2728C22semidirect
85. #2728C22semidirect
86. #2708C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
92. #2699C22semidirect
93. #2699C22semidirect
94. #2697C22semidirect
95. #2693C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2682C22semidirect
101. #2679C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2672C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
123. #2668C22semidirect
124. #2668C22semidirect
125. #2668C22semidirect
126. #2668C22semidirect
128. #2656C22semidirect
129. #2651C22semidirect
130. #2648C22semidirect
131. #2645C22semidirect
132. #2643C22semidirect
133. #2635C22semidirect
134. #2635C22semidirect
135. #2635C22semidirect
136. #2635C22semidirect
137. #2624C22semidirect
138. #2621C22semidirect
142. #2617C22semidirect
143. #2615C22semidirect
145. #2596C22semidirect
146. #2593C22semidirect
147. #2593C22semidirect
148. #2592C22semidirect
149. #2580C22semidirect
150. #2547C22semidirect
151. #2545C22semidirect
152. #2544C22semidirect
153. #2544C22semidirect
154. #2544C22semidirect
155. #2543C22semidirect
156. #2543C22semidirect
157. #2543C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2540C22semidirect
165. #2539C22semidirect
166. #2535C22semidirect
167. #2535C22semidirect
168. #2516C22semidirect
169. #2513C22semidirect
170. #2508C22semidirect
171. #2504C22semidirect
172. #2503C22semidirect
173. #2494C22semidirect
174. #2494C22semidirect
175. #2486C22semidirect
176. #2472C22semidirect
177. #2464C22semidirect
178. #2461C22semidirect
179. #2456C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2444C22semidirect
186. #2443C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2432C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
205. #2427C22semidirect
206. #2426C22semidirect
207. #2425C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
214. #2418C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
220. #2412C22semidirect
221. #2410C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2407C22semidirect
230. #2404C22semidirect
231. #2404C22semidirect
233. #2403C22semidirect
234. #2403C22semidirect
235. #2401C22semidirect
236. #2398C22semidirect
237. #2396C22semidirect
238. #2395C22semidirect
240. #2392C22semidirect
241. C2×#397C22semidirect
242. #2388C22semidirect
243. #2388C22semidirect
244. #2366C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2357C22semidirect
250. #2349C22semidirect
251. #2339C22semidirect
252. #2328C22semidirect
253. #2323C22semidirect
254. #2319C22semidirect
256. #2297C22semidirect
257. #2296C22semidirect
258. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#579582
#571422
#563462
#538782
#535342
#535082
#534932
#530882
#529712
#529662
#524712
#524222
#450382
#448922
#448862
#448682
#429832
#429692
#425982
#425332
#424832
#424752
#381312
#376742
#374182
#366702
#360092
#357412
#355282