Finite Group Databasebeta

← #8750949

Subgroups — #8750949

Order 512.

5535 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C211yesmaximal, characteristic, complemented
2#59750C212yesmaximal, complemented
3#58989C212yesmaximal, complemented
4#57398C214yesmaximal, complemented
5#57170C214yesmaximal, complemented
6#57157C214yesmaximal, complemented
7#55312C214yesmaximal, complemented
8#53116C212yesmaximal, complemented
9#53102C214yesmaximal, complemented
10#52986C211yesmaximal, characteristic, complemented
11#52916C212yesmaximal, complemented
12#47177C212yesmaximal, complemented
13#45402C212yesmaximal, complemented
14#45378C211yesmaximal, characteristic, complemented
15#44886C212yesmaximal, complemented
16#44870C212yesmaximal, complemented
17#44868C212yesmaximal, complemented
18#42987C212yesmaximal, complemented
19#42977C212yesmaximal, complemented
20#42962C212yesmaximal, complemented
21#42889C211yesmaximal, characteristic, complemented
22#42643C212yesmaximal, complemented
23#42484C212yesmaximal, complemented
24#41256C214yesmaximal, complemented
25#39953C212yesmaximal, complemented
26#38957C211yesmaximal, characteristic, complemented
27#36694C211yesmaximal, characteristic, complemented
28#36048C211yesmaximal, characteristic, complemented
29#35853C212yesmaximal, complemented
30C2×#559C2212yescomplemented
31C2×#556C2211yescharacteristic, complemented
32C2×#556C2211yescharacteristic, complemented
33C2×#552C2212yescomplemented
34C2×#550C2211yescharacteristic, complemented
35C2×#546C2212yescomplemented
36C2×D42C2211yescharacteristic
37C2×D42C2212yescomplemented
38C2×#537C2212yescomplemented
39C2×#535C2212yes—
40C2×#535C2212yescomplemented
41#2858C2211yescharacteristic
42#2844C2211yescharacteristic, complemented
43#2832C2212yescomplemented
44#2832C2212yescomplemented
45#2832C2212yescomplemented
46#2828C2211yescharacteristic
47#2828C2214yescomplemented
48#2828C2212yescomplemented
49#2828C2212yescomplemented
50#2828C2212yescomplemented
51#2828C2211yescharacteristic, complemented
52#2828C2212yescomplemented
53#2824C2214yescomplemented
54#2820C2214yescomplemented
55#2819C2212yescomplemented
56#2819C2214yescomplemented
57#2819C2211yescharacteristic, complemented
58#2818C2214yescomplemented
59#2818C2212yescomplemented
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2812C2214yescomplemented
63#2812C2214yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2795C2212yescomplemented
67#2785C2212yescomplemented
68#2785C2214yescomplemented
69#2784C2212yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2753C2214yescomplemented
73#2737C2214yescomplemented
74#2733C2212yescomplemented
75#2723C2214yescomplemented
76#2720C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2711C2214yescomplemented
80#2710C2214yescomplemented
81#2706C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2684C2214yescomplemented
90#2684C2214yescomplemented
91#2679C2214yescomplemented
92#2679C2212yescomplemented
93#2679C2212yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2668C2214yescomplemented
118#2662C2214yescomplemented
119#2662C2214yescomplemented
120#2662C2212yescomplemented
121#2661C2214yescomplemented
122#2661C2214yescomplemented
123#2657C2211yescharacteristic
124#2641C2212yescomplemented
125#2641C2214yescomplemented
126#2640C2211yescharacteristic, complemented
127#2636C2212yescomplemented
128#2635C2214yescomplemented
129#2632C2214yescomplemented
130#2624C2214yescomplemented
131#2620C2212yescomplemented
132#2619C2214yescomplemented
133#2619C2212yescomplemented
134#2616C2212yescomplemented
135#2613C2214yescomplemented
136#2610C2214yescomplemented
137#2610C2214yescomplemented
138#2610C2214yescomplemented
139#2610C2212yescomplemented
140#2604C2212yescomplemented
141#2603C2214yescomplemented
142#2598C2212yescomplemented
143#2592C2212yescomplemented
144#2584C2212yescomplemented
145#2567C2211yescharacteristic, complemented
146#2560C2214yescomplemented
147#2558C2214yescomplemented
148#2558C2214yescomplemented
149#2555C2214yescomplemented
150#2555C2214yescomplemented
151#2555C2212yescomplemented
152#2555C2212yescomplemented
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic, complemented
155#2548C2214yescomplemented
156#2548C2212yescomplemented
157#2542C2211yescharacteristic, complemented
158#2541C2212yes—
159#2541C2214yescomplemented
160#2540C2211yescharacteristic
161#2540C2212yescomplemented
162#2540C2211yescharacteristic, complemented
163#2540C2212yescomplemented
164#2537C2212yescomplemented
165#2529C2214yescomplemented
166#2526C2214yescomplemented
167#2518C2214yescomplemented
168#2513C2214yescomplemented
169#2512C2214yescomplemented
170#2500C2214yescomplemented
171#2500C2212yescomplemented
172#2500C2214yescomplemented
173#2495C2214yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2489C2212yescomplemented
180#2476C2214yescomplemented
181#2474C2214yescomplemented
182#2472C2214yescomplemented
183#2461C2214yescomplemented
184#2459C2214yescomplemented
185#2445C2214yescomplemented
186#2445C2214yescomplemented
187#2435C2212yescomplemented
188#2435C2212yescomplemented
189#2435C2212yescomplemented
190#2435C2212yescomplemented
191#2433C2212yes—
192#2433C2212yes—
193#2433C2214yescomplemented
194#2433C2214yescomplemented
195#2433C2212yescomplemented
196#2432C2212yescomplemented
197#2431C2212yescomplemented
198#2431C2212yescomplemented
199#2429C2212yescomplemented
200#2428C2212yes—
201#2428C2212yes—
202#2428C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2414C2214yescomplemented
221#2414C2212yescomplemented
222#2411C2214yescomplemented
223#2410C2214yescomplemented
224#2408C2214yescomplemented
225#2408C2212yescomplemented
226#2408C2212yescomplemented
227#2408C2214yescomplemented
228#2407C2212yescomplemented
229#2403C2214yescomplemented
230#2398C2212yescomplemented
231#2398C2211yescharacteristic, complemented
232#2398C2212yescomplemented
233#2398C2211yescharacteristic, complemented
234#2396C2212yescomplemented
235#2392C2214yescomplemented
236#2388C2212yescomplemented
237#2388C2212yescomplemented
238#2388C2212yescomplemented
239#2372C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2214yescomplemented
243#2363C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2347C2212yescomplemented
248#2346C2212yescomplemented
249#2345C2212yescomplemented
250#2321C2214yescomplemented
251#2320C2211yescharacteristic, complemented
252#2319C2212yescomplemented
253#2309C2212yescomplemented
254C4×#124C2212yescomplemented
255C4×#124C2211yescharacteristic, complemented
256#2293C2212yescomplemented
257#2293C2211yescharacteristic, complemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265#559—48no—
266#556—44no—
267#556—44no—
268#552—48no—
269#550—44no—
270#546—48no—
271D42—44no—
272D42—48no—
273#537—48no—
274#535—48no—
275#535—48no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2314yes—
280C2×#127C2311yescharacteristic
281C2×#127C2314yes—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2314yes—
286C2×#126C2314yes—
287C2×#126C2312yes—
288C2×#126C2314yes—
289C2×#126C2312yes—
290C2×#125C2314yes—
291C2×#125C2312yes—
292C2×#124C2312yes—
293C2×#124C2311yescharacteristic
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2311yescharacteristic
302C2×#124C2312yes—
303C2×#124C2311yescharacteristic
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
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—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2311yescharacteristic
388#400C2311yescharacteristic
389#400C2311yescharacteristic
390#400C2312yes—
391#400C2312yes—
392#400C2311yescharacteristic
393#400C2312yes—
394#399C2312yes—
395#399C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2312yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#395C2312yes—
425#395C2314yes—
426#395C2312yes—
427#395C2312yes—
428#395C2312yes—
429#395C2312yes—
430#395C2314yes—
431#394C2314yes—
432#394C2311yescharacteristic
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2311yescharacteristic
443#394C2314yes—
444#394C2312yes—
445#394C2311yescharacteristic
446#394C2314yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2311yescharacteristic
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#393C2312yes—
495#393C2312yes—
496#393C2312yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#393C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#393C2312yes—
508#392C2312yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
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#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2312yes—
670#384C2312yes—
671#383C2312yes—
672#383C2314yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2314yes—
676#382C2314yes—
677#382C2312yes—
678#381C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718#376C2311yescharacteristic
719#376C2314yes—
720#376C2312yes—
721#376C2311yescharacteristic
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2414yes—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C22×Q8C2411yescharacteristic
732C22×Q8C2411yescharacteristic
733C22×Q8C2411yescharacteristic
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—48no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—82no—
747C22×D4—84no—
748C22×D4—84no—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2411yescharacteristic
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C4⋊Q8—42no—
791C4⋊Q8—42no—
792#127—48no—
793#127—48no—
794#127—44no—
795#127—42no—
796#127—44no—
797#127—42no—
798#127—44no—
799#127—84no—
800#126—48no—
801#126—48no—
802#126—44no—
803#126—44no—
804#125—48no—
805#125—44no—
806#124—44no—
807#124—48no—
808#124—48no—
809#124—44no—
810#124—48no—
811#124—42no—
812#124—44no—
813#124—42no—
814#124—42no—
815#124—44no—
816#124—44no—
817#124—44no—
818#124—82no—
819#124—84no—
820#124—84no—
821#124—84no—
822#123—48no—
823#123—48no—
824#123—48no—
825#123—48no—
826C22⋊Q8—28no—
827C22⋊Q8—48no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—48no—
839#121—48no—
840#121—44no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—48no—
850#121—48no—
851#121—84no—
852#121—84no—
853#121—84no—
854#121—84no—
855#121—84no—
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—
870#120—84no—
871#120—84no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—48no—
889C4×D4—84no—
890C4×D4—84no—
891#117—28no—
892#117—28no—
893#117—48no—
894#117—44no—
895#117—84no—
896#117—82no—
897C2×C4⋊C4—28no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C22⋊C4—48no—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊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⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2411yescharacteristic
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2411yescharacteristic
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2514yes—
1097C24C2514yes—
1098C24C2512yes—
1099#41—816no—
1100#41—816no—
1101C2×Q8—24no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—24no—
1105C2×Q8—22no—
1106C2×Q8—41no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—41no—
1114C2×Q8—42no—
1115C2×Q8—44no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
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—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—816no—
1211C2×D4—816no—
1212C2×D4—816no—
1213C2×D4—832no—
1214C22×C4—24no—
1215C22×C4—24no—
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—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—42no—
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×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4H(5,𝔽2)18yes—
1297C4⋊C4H(5,𝔽2)14yes—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C42—28no—
1379C42—28no—
1380C42—28no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—22no—
1390C42—41no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—42no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—24no—
1425C23—24no—
1426C23—22no—
1427C23—24no—
1428C23—24no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—88no—
1439C23—88no—
1440C23—88no—
1441C23—88no—
1442C23—88no—
1443C23—88no—
1444C23—164no—
1445C23—164no—
1446C23—164no—
1447C23—164no—
1448C23—164no—
1449C23—164no—
1450C23—164no—
1451C23—164no—
1452C23C2611yescharacteristic
1453Q8—44no—
1454Q8—44no—
1455Q8—82no—
1456Q8—84no—
1457Q8—84no—
1458Q8—84no—
1459D4—44no—
1460D4—48no—
1461D4—44no—
1462D4—48no—
1463D4—48no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—84no—
1471D4—82no—
1472D4—84no—
1473D4—82no—
1474D4—88no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—88no—
1483D4—164no—
1484D4—164no—
1485D4—162no—
1486D4—164no—
1487D4—164no—
1488D4—162no—
1489D4—164no—
1490D4—164no—
1491D4—164no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—88no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4C2×H(5,𝔽2)14yes—
1559C2×C4C2×H(5,𝔽2)18yes—
1560C2×C4C2×H(5,𝔽2)14yes—
1561C2×C4C2×H(5,𝔽2)12yes—
1562C2×C4#58512yes—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—44no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—44no—
1572C22—42no—
1573C22—42no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—44no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—1616no—
1604C22—1616no—
1605C22C22×H(5,𝔽2)12yes—
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22H(7,𝔽2)11yescharacteristic
1609C22H(7,𝔽2)12yes—
1610C4—28no—
1611C4—22no—
1612C4—24no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4—42no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—44no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4#354914yes—
1633C2—82no—
1634C2—84no—
1635C2—82no—
1636C2—82no—
1637C2—84no—
1638C2—82no—
1639C2C2×#354911yescharacteristic
1640C2#6291811yescharacteristic
1641C2#6292312yes—
1642C2#6304112yes—
1643C2#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. #59952C2semidirect
2. #59750C2semidirect
3. #58989C2semidirect
4. #57398C2semidirect
5. #57170C2semidirect
6. #57157C2semidirect
7. #55312C2semidirect
8. #53116C2semidirect
9. #53102C2semidirect
10. #52986C2semidirect
11. #52916C2semidirect
12. #47177C2semidirect
13. #45402C2semidirect
14. #45378C2semidirect
15. #44886C2semidirect
16. #44870C2semidirect
17. #44868C2semidirect
18. #42987C2semidirect
19. #42977C2semidirect
20. #42962C2semidirect
21. #42889C2semidirect
22. #42643C2semidirect
23. #42484C2semidirect
24. #41256C2semidirect
25. #39953C2semidirect
26. #38957C2semidirect
27. #36694C2semidirect
28. #36048C2semidirect
29. #35853C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×#556C22semidirect
33. C2×#552C22semidirect
34. C2×#550C22semidirect
35. C2×#546C22semidirect
37. C2×D42C22semidirect
38. C2×#537C22semidirect
40. C2×#535C22semidirect
42. #2844C22semidirect
43. #2832C22semidirect
44. #2832C22semidirect
45. #2832C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2824C22semidirect
54. #2820C22semidirect
55. #2819C22semidirect
56. #2819C22semidirect
57. #2819C22semidirect
58. #2818C22semidirect
59. #2818C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2795C22semidirect
67. #2785C22semidirect
68. #2785C22semidirect
69. #2784C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2753C22semidirect
73. #2737C22semidirect
74. #2733C22semidirect
75. #2723C22semidirect
76. #2720C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2711C22semidirect
80. #2710C22semidirect
81. #2706C22semidirect
82. #2686C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2684C22semidirect
91. #2679C22semidirect
92. #2679C22semidirect
93. #2679C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2662C22semidirect
119. #2662C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2661C22semidirect
124. #2641C22semidirect
125. #2641C22semidirect
126. #2640C22semidirect
127. #2636C22semidirect
128. #2635C22semidirect
129. #2632C22semidirect
130. #2624C22semidirect
131. #2620C22semidirect
132. #2619C22semidirect
133. #2619C22semidirect
134. #2616C22semidirect
135. #2613C22semidirect
136. #2610C22semidirect
137. #2610C22semidirect
138. #2610C22semidirect
139. #2610C22semidirect
140. #2604C22semidirect
141. #2603C22semidirect
142. #2598C22semidirect
143. #2592C22semidirect
144. #2584C22semidirect
145. #2567C22semidirect
146. #2560C22semidirect
147. #2558C22semidirect
148. #2558C22semidirect
149. #2555C22semidirect
150. #2555C22semidirect
151. #2555C22semidirect
152. #2555C22semidirect
154. #2548C22semidirect
155. #2548C22semidirect
156. #2548C22semidirect
157. #2542C22semidirect
159. #2541C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
164. #2537C22semidirect
165. #2529C22semidirect
166. #2526C22semidirect
167. #2518C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2500C22semidirect
171. #2500C22semidirect
172. #2500C22semidirect
173. #2495C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2489C22semidirect
180. #2476C22semidirect
181. #2474C22semidirect
182. #2472C22semidirect
183. #2461C22semidirect
184. #2459C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2435C22semidirect
188. #2435C22semidirect
189. #2435C22semidirect
190. #2435C22semidirect
193. #2433C22semidirect
194. #2433C22semidirect
195. #2433C22semidirect
196. #2432C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
199. #2429C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2411C22semidirect
223. #2410C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2407C22semidirect
229. #2403C22semidirect
230. #2398C22semidirect
231. #2398C22semidirect
232. #2398C22semidirect
233. #2398C22semidirect
234. #2396C22semidirect
235. #2392C22semidirect
236. #2388C22semidirect
237. #2388C22semidirect
238. #2388C22semidirect
239. #2372C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2347C22semidirect
248. #2346C22semidirect
249. #2345C22semidirect
250. #2321C22semidirect
251. #2320C22semidirect
252. #2319C22semidirect
253. #2309C22semidirect
254. C4×#124C22semidirect
255. C4×#124C22semidirect
256. #2293C22semidirect
257. #2293C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#599522
#597502
#589892
#573982
#571702
#571572
#553122
#531162
#531022
#529862
#529162
#471772
#454022
#453782
#448862
#448702
#448682
#429872
#429772
#429622
#428892
#426432
#424842
#412562
#399532
#389572
#366942
#360482
#358532