Finite Group Databasebeta

← #8749856

Subgroups — #8749856

Order 512.

5667 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#59581C212yesmaximal, complemented
3#58430C212yesmaximal, complemented
4#57643C214yesmaximal, complemented
5#55040C214yesmaximal, complemented
6#53531C214yesmaximal, complemented
7#53390C214yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#52960C211yesmaximal, characteristic, complemented
10#52696C212yesmaximal, complemented
11#52410C214yesmaximal, complemented
12#47177C212yesmaximal, complemented
13#45093C212yesmaximal, complemented
14#45063C212yesmaximal, complemented
15#44877C212yesmaximal, complemented
16#44877C212yesmaximal, complemented
17#44870C211yesmaximal, characteristic, complemented
18#42995C211yesmaximal, characteristic, complemented
19#42982C212yesmaximal, complemented
20#42979C212yesmaximal, complemented
21#42761C212yesmaximal, complemented
22#42712C212yesmaximal, complemented
23#42420C212yesmaximal, complemented
24#40690C214yesmaximal, complemented
25#40049C212yesmaximal, complemented
26#38953C211yesmaximal, characteristic, complemented
27#36696C211yesmaximal, characteristic, complemented
28#36004C211yesmaximal, characteristic, complemented
29#35761C212yesmaximal, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#548C2212yescomplemented
32C2×#546C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×D42C2211yescharacteristic, complemented
35C2×D42C2212yescomplemented
36C2×D42C2212yescomplemented
37C2×#536C2211yescharacteristic, complemented
38C2×#535C2212yes—
39C2×#535C2212yescomplemented
40C2×#518C2211yescharacteristic, complemented
41#2858C2211yescharacteristic, complemented
42#2843C2211yescharacteristic, complemented
43#2837C2214yescomplemented
44#2830C2212yescomplemented
45#2830C2211yescharacteristic, complemented
46#2830C2212yescomplemented
47#2829C2212yescomplemented
48#2829C2212yescomplemented
49#2829C2212yescomplemented
50#2829C2214yescomplemented
51#2828C2214yescomplemented
52#2828C2211yescharacteristic, complemented
53#2828C2212yescomplemented
54#2828C2214yescomplemented
55#2826C2212yescomplemented
56#2824C2214yescomplemented
57#2824C2214yescomplemented
58#2823C2211yescharacteristic, complemented
59#2819C2212yescomplemented
60#2818C2212yescomplemented
61#2816C2214yescomplemented
62#2812C2214yescomplemented
63#2812C2214yescomplemented
64#2803C2214yescomplemented
65#2784C2212yescomplemented
66#2782C2214yescomplemented
67#2761C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2751C2214yescomplemented
74#2749C2214yescomplemented
75#2741C2214yescomplemented
76#2738C2214yescomplemented
77#2735C2214yescomplemented
78#2730C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2710C2214yescomplemented
82#2709C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2702C2214yescomplemented
86#2693C2212yescomplemented
87#2686C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2684C2214yescomplemented
92#2684C2214yescomplemented
93#2684C2214yescomplemented
94#2684C2214yescomplemented
95#2680C2212yescomplemented
96#2679C2214yescomplemented
97#2679C2214yescomplemented
98#2679C2212yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2674C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2212yescomplemented
111#2669C2212yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2651C2214yescomplemented
119#2651C2214yescomplemented
120#2648C2214yescomplemented
121#2648C2214yescomplemented
122#2640C2212yescomplemented
123#2639C2214yescomplemented
124#2639C2214yescomplemented
125#2635C2214yescomplemented
126#2631C2212yescomplemented
127#2628C2212yescomplemented
128#2625C2212yescomplemented
129#2624C2211yescharacteristic, complemented
130#2620C2212yescomplemented
131#2619C2212yescomplemented
132#2617C2214yescomplemented
133#2617C2214yescomplemented
134#2615C2211yescharacteristic, complemented
135#2613C2214yescomplemented
136#2610C2212yescomplemented
137#2603C2214yescomplemented
138#2598C2212yescomplemented
139#2597C2214yescomplemented
140#2591C2214yescomplemented
141#2578C2214yescomplemented
142#2563C2211yescharacteristic, complemented
143#2555C2212yescomplemented
144#2555C2212yescomplemented
145#2544C2212yescomplemented
146#2544C2212yescomplemented
147#2544C2212yescomplemented
148#2543C2214yescomplemented
149#2541C2211yescharacteristic
150#2540C2212yescomplemented
151#2540C2212yescomplemented
152#2540C2212yescomplemented
153#2537C2212yescomplemented
154#2536C2212yescomplemented
155#2535C2212yescomplemented
156#2534C2214yescomplemented
157#2531C2214yescomplemented
158#2513C2212yescomplemented
159#2513C2214yescomplemented
160#2511C2212yescomplemented
161#2508C2212yescomplemented
162#2505C2214yescomplemented
163#2504C2214yescomplemented
164#2500C2212yescomplemented
165#2500C2212yescomplemented
166#2496C2212yescomplemented
167#2492C2212yescomplemented
168#2491C2214yescomplemented
169#2485C2212yescomplemented
170#2476C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2467C2214yescomplemented
176#2464C2214yescomplemented
177#2459C2214yescomplemented
178#2452C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2445C2214yescomplemented
182#2443C2214yescomplemented
183#2436C2212yescomplemented
184#2436C2211yescharacteristic, complemented
185#2435C2212yescomplemented
186#2435C2212yescomplemented
187#2433C2212yes—
188#2433C2211yescharacteristic
189#2433C2212yescomplemented
190#2433C2214yescomplemented
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2425C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2418C2214yescomplemented
207#2416C2214yescomplemented
208#2415C2212yescomplemented
209#2415C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2412C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2409C2211yescharacteristic, complemented
219#2408C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2211yescharacteristic, complemented
223#2408C2214yescomplemented
224#2408C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2403C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2212yescomplemented
230#2395C2212yescomplemented
231#2395C2211yescharacteristic, complemented
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2388C2212yescomplemented
237#2388C2211yescharacteristic, complemented
238C2×#394C2214yescomplemented
239#2366C2212yescomplemented
240#2366C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2358C2212yescomplemented
245#2352C2214yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2347C2211yescharacteristic, complemented
248#2346C2211yescharacteristic, complemented
249#2339C2212yescomplemented
250D4×C22⋊C4C2212yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2321C2214yescomplemented
254#2309C2212yescomplemented
255C4×#127C2211yescharacteristic, complemented
256C4×#126C2212yescomplemented
257C4×#124C2212yescomplemented
258#2293C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2314yes—
268#555—44no—
269#548—48no—
270#546—48no—
271#546—48no—
272D42—44no—
273D42—48no—
274D42—48no—
275#536—44no—
276#535—48no—
277#535—48no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2314yes—
285C2×#127C2312yes—
286C2×#126C2312yes—
287C2×#126C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2311yescharacteristic
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2312yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350#518—44no—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C22×C4⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2311yescharacteristic
388#400C2312yes—
389#400C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2311yescharacteristic
393#399C2312yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2311yescharacteristic
400#398C2312yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#397C2312yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2311yescharacteristic
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#395C2311yescharacteristic
441#395C2312yes—
442#395C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2311yescharacteristic
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2311yescharacteristic
509#393C2312yes—
510#393C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2311yescharacteristic
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#392C2312yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
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#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
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#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#383C2312yes—
673#383C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2314yes—
677#382C2312yes—
678#381C2314yes—
679#381C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2311yescharacteristic
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720#376C2312yes—
721C2×#95C2314yes—
722C43C2311yescharacteristic
723C25C2412yes—
724C25C2414yes—
725C25C2414yes—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—42no—
729C2×#41—44no—
730C2×#41—44no—
731C22×Q8—42no—
732C22×Q8—44no—
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2411yescharacteristic
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—82no—
750C22×D4—84no—
751C22×D4—84no—
752C22×D4—84no—
753C22×D4—84no—
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C4⋊Q8—44no—
799C4⋊Q8—42no—
800#127—28no—
801#127—28no—
802#127—42no—
803#127—42no—
804#127—48no—
805#127—82no—
806#126—44no—
807#126—84no—
808#124—28no—
809#124—44no—
810#124—44no—
811#124—44no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—48no—
816#124—48no—
817#124—84no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—84no—
822C22⋊Q8—28no—
823C22⋊Q8—48no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—84no—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—44no—
833#121—44no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—48no—
843#121—42no—
844#121—42no—
845#121—48no—
846#121—48no—
847#121—84no—
848#121—84no—
849#121—84no—
850#121—84no—
851#121—84no—
852#120—44no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—48no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—84no—
866#120—84no—
867#120—84no—
868#120—84no—
869#120—84no—
870C4×Q8—44no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—48no—
887C4×D4—48no—
888C4×D4—84no—
889#117—24no—
890#117—24no—
891#117—42no—
892#117—44no—
893#117—44no—
894#117—44no—
895#117—82no—
896C2×C4⋊C4—84no—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C22⋊C4—48no—
935C2×C22⋊C4—48no—
936C2×C22⋊C4—48no—
937C2×C22⋊C4—84no—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079C24—28no—
1080C24—28no—
1081C24—42no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—42no—
1088C24—44no—
1089C24—44no—
1090C24—42no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24C2511yescharacteristic
1099C24C2512yes—
1100C24C2512yes—
1101C24C2514yes—
1102C24C2512yes—
1103C24C2511yescharacteristic
1104C24C2514yes—
1105#41—88no—
1106#41—816no—
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—44no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—41no—
1114C2×Q8—44no—
1115C2×Q8—42no—
1116C2×Q8—88no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—42no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—41no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—41no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—41no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—41no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—416no—
1207C2×D4—816no—
1208C2×D4—816no—
1209C2×D4—816no—
1210C2×D4—832no—
1211C2×D4—832no—
1212C2×D4H(5,𝔽2)18yes—
1213C22×C4—28no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4H(5,𝔽2)14yes—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
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—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—44no—
1395C42—41no—
1396C42—42no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—42no—
1401C23—24no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—21no—
1425C23—24no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—24no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—48no—
1444C23—88no—
1445C23—88no—
1446C23—88no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—162no—
1455C23—162no—
1456C23—164no—
1457C23—164no—
1458C23—164no—
1459C23—164no—
1460C23—164no—
1461C23—164no—
1462C23C2×H(5,𝔽2)18yes—
1463C23C2611yescharacteristic
1464Q8—48no—
1465Q8—84no—
1466Q8—82no—
1467Q8—162no—
1468D4—216no—
1469D4—44no—
1470D4—48no—
1471D4—48no—
1472D4—48no—
1473D4—44no—
1474D4—48no—
1475D4—82no—
1476D4—84no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—82no—
1495D4—164no—
1496D4—162no—
1497D4—162no—
1498D4—162no—
1499D4—164no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
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—24no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—44no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4—88no—
1564C2×C4—88no—
1565C2×C4—84no—
1566C2×C4—164no—
1567C2×C4—164no—
1568C2×C4C2×H(5,𝔽2)14yes—
1569C2×C4C2×H(5,𝔽2)14yes—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4#58512yes—
1572C22—28no—
1573C22—28no—
1574C22—28no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—41no—
1580C22—42no—
1581C22—42no—
1582C22—41no—
1583C22—44no—
1584C22—42no—
1585C22—44no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—44no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—41no—
1597C22—41no—
1598C22—42no—
1599C22—44no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—44no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—42no—
1615C22—168no—
1616C22—1616no—
1617C22—1616no—
1618C22C22×H(5,𝔽2)12yes—
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22H(7,𝔽2)11yescharacteristic
1622C22H(7,𝔽2)12yes—
1623C4—22no—
1624C4—24no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4#353714yes—
1645C2—48no—
1646C2—81no—
1647C2—82no—
1648C2—82no—
1649C2—81no—
1650C2—84no—
1651C2—82no—
1652C2C2×#353711yescharacteristic
1653C2#6291811yescharacteristic
1654C2#6292012yes—
1655C2#6304512yes—
1656C2#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. #59818C2semidirect
2. #59581C2semidirect
3. #58430C2semidirect
4. #57643C2semidirect
5. #55040C2semidirect
6. #53531C2semidirect
7. #53390C2semidirect
8. #53129C2semidirect
9. #52960C2semidirect
10. #52696C2semidirect
11. #52410C2semidirect
12. #47177C2semidirect
13. #45093C2semidirect
14. #45063C2semidirect
15. #44877C2semidirect
16. #44877C2semidirect
17. #44870C2semidirect
18. #42995C2semidirect
19. #42982C2semidirect
20. #42979C2semidirect
21. #42761C2semidirect
22. #42712C2semidirect
23. #42420C2semidirect
24. #40690C2semidirect
25. #40049C2semidirect
26. #38953C2semidirect
27. #36696C2semidirect
28. #36004C2semidirect
29. #35761C2semidirect
30. C2×#555C22semidirect
31. C2×#548C22semidirect
32. C2×#546C22semidirect
33. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#536C22semidirect
39. C2×#535C22semidirect
40. C2×#518C22semidirect
41. #2858C22semidirect
42. #2843C22semidirect
43. #2837C22semidirect
44. #2830C22semidirect
45. #2830C22semidirect
46. #2830C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2826C22semidirect
56. #2824C22semidirect
57. #2824C22semidirect
58. #2823C22semidirect
59. #2819C22semidirect
60. #2818C22semidirect
61. #2816C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2803C22semidirect
65. #2784C22semidirect
66. #2782C22semidirect
67. #2761C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2751C22semidirect
74. #2749C22semidirect
75. #2741C22semidirect
76. #2738C22semidirect
77. #2735C22semidirect
78. #2730C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2710C22semidirect
82. #2709C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2702C22semidirect
86. #2693C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2684C22semidirect
92. #2684C22semidirect
93. #2684C22semidirect
94. #2684C22semidirect
95. #2680C22semidirect
96. #2679C22semidirect
97. #2679C22semidirect
98. #2679C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2674C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
118. #2651C22semidirect
119. #2651C22semidirect
120. #2648C22semidirect
121. #2648C22semidirect
122. #2640C22semidirect
123. #2639C22semidirect
124. #2639C22semidirect
125. #2635C22semidirect
126. #2631C22semidirect
127. #2628C22semidirect
128. #2625C22semidirect
129. #2624C22semidirect
130. #2620C22semidirect
131. #2619C22semidirect
132. #2617C22semidirect
133. #2617C22semidirect
134. #2615C22semidirect
135. #2613C22semidirect
136. #2610C22semidirect
137. #2603C22semidirect
138. #2598C22semidirect
139. #2597C22semidirect
140. #2591C22semidirect
141. #2578C22semidirect
142. #2563C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2544C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2543C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
152. #2540C22semidirect
153. #2537C22semidirect
154. #2536C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2531C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2511C22semidirect
161. #2508C22semidirect
162. #2505C22semidirect
163. #2504C22semidirect
164. #2500C22semidirect
165. #2500C22semidirect
166. #2496C22semidirect
167. #2492C22semidirect
168. #2491C22semidirect
169. #2485C22semidirect
170. #2476C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2467C22semidirect
176. #2464C22semidirect
177. #2459C22semidirect
178. #2452C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2445C22semidirect
182. #2443C22semidirect
183. #2436C22semidirect
184. #2436C22semidirect
185. #2435C22semidirect
186. #2435C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2425C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2418C22semidirect
207. #2416C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2412C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2409C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2395C22semidirect
231. #2395C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2388C22semidirect
237. #2388C22semidirect
238. C2×#394C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2358C22semidirect
245. #2352C22semidirect
246. D4×C4⋊C4C22semidirect
247. #2347C22semidirect
248. #2346C22semidirect
249. #2339C22semidirect
250. D4×C22⋊C4C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2321C22semidirect
254. #2309C22semidirect
255. C4×#127C22semidirect
256. C4×#126C22semidirect
257. C4×#124C22semidirect
258. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#595812
#584302
#576432
#550402
#535312
#533902
#531292
#529602
#526962
#524102
#471772
#450932
#450632
#448772
#448702
#429952
#429822
#429792
#427612
#427122
#424202
#406902
#400492
#389532
#366962
#360042
#357612