Finite Group Databasebeta

← #8132514

Subgroups — #8132514

Order 512.

5046 conjugacy classes of subgroups.

The subgroup lattice has 1629 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C211yesmaximal, characteristic, complemented
2#59841C211yesmaximal, characteristic, complemented
3#59562C212yesmaximal, complemented
4#58901C214yesmaximal, complemented
5#58887C212yesmaximal, complemented
6#58267C212yesmaximal, complemented
7#56736C214yesmaximal, complemented
8#56586C212yesmaximal, complemented
9#53675C212yesmaximal, complemented
10#52085C212yesmaximal, complemented
11#51978C212yesmaximal, complemented
12#51896C212yesmaximal, complemented
13#51873C212yesmaximal, complemented
14#51441C214yesmaximal, complemented
15#49608C214yesmaximal, complemented
16#46345C211yesmaximal, characteristic, complemented
17#46338C212yesmaximal, complemented
18#46329C211yesmaximal, characteristic, complemented
19#42736C212yesmaximal, complemented
20#42619C212yesmaximal, complemented
21#42606C212yesmaximal, complemented
22#42584C212yesmaximal, complemented
23#37946C212yesmaximal, complemented
24#37937C212yesmaximal, complemented
25#37710C212yesmaximal, complemented
26#37694C212yesmaximal, complemented
27#37276C212yesmaximal, complemented
28#35295C212yesmaximal, complemented
29#35272C211yesmaximal, characteristic, complemented
30#35200C211yesmaximal, characteristic, complemented
31#34910C211yesmaximal, characteristic, complemented
32C2×#563C2212yescomplemented
33C2×#555C2212yescomplemented
34C2×#540C2212yes—
35C2×#535C2212yes—
36C2×#533C2211yescharacteristic, complemented
37C22×#127C2211yescharacteristic
38C2×#529C2211yescharacteristic, complemented
39C2×C4×#41C2211yescharacteristic
40#2860C2212yescomplemented
41#2860C2212yescomplemented
42#2856C2212yes—
43#2856C2212yes—
44#2851C2212yes—
45#2851C2212yescomplemented
46#2832C2212yescomplemented
47#2829C2214yescomplemented
48#2828C2214yescomplemented
49#2828C2214yescomplemented
50#2825C2214yescomplemented
51#2824C2214yescomplemented
52#2823C2212yescomplemented
53#2797C2214yescomplemented
54#2795C2214yescomplemented
55#2785C2212yescomplemented
56#2781C2214yescomplemented
57#2778C2214yescomplemented
58#2768C2214yes—
59#2767C2214yescomplemented
60#2765C2214yescomplemented
61#2761C2214yescomplemented
62#2757C2214yescomplemented
63#2753C2214yescomplemented
64#2750C2214yes—
65#2749C2214yescomplemented
66#2735C2214yes—
67#2735C2214yes—
68#2733C2212yescomplemented
69#2731C2212yescomplemented
70#2731C2212yescomplemented
71#2731C2212yescomplemented
72#2730C2214yescomplemented
73#2728C2212yescomplemented
74#2723C2214yescomplemented
75#2718C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2711C2214yescomplemented
79#2709C2214yes—
80#2709C2214yes—
81#2709C2214yescomplemented
82#2707C2214yescomplemented
83#2707C2214yescomplemented
84#2706C2214yescomplemented
85#2705C2214yescomplemented
86#2702C2214yescomplemented
87#2701C2214yescomplemented
88#2699C2214yescomplemented
89#2699C2212yescomplemented
90#2691C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2685C2214yes—
94#2685C2214yes—
95#2685C2214yes—
96#2684C2214yes—
97#2682C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2680C2212yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2673C2214yes—
108#2673C2214yes—
109#2673C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2661C2214yescomplemented
114#2653C2214yescomplemented
115#2648C2214yescomplemented
116#2647C2212yescomplemented
117#2641C2212yes—
118#2641C2214yescomplemented
119#2638C2212yes—
120#2638C2212yescomplemented
121#2636C2214yescomplemented
122#2629C2212yescomplemented
123#2626C2214yes—
124#2624C2212yescomplemented
125#2624C2212yescomplemented
126#2622C2214yes—
127#2619C2212yes—
128#2619C2212yes—
129#2619C2212yes—
130#2619C2214yescomplemented
131#2611C2214yes—
132#2610C2214yescomplemented
133#2609C2214yes—
134#2609C2212yescomplemented
135#2603C2214yescomplemented
136#2602C2212yes—
137#2602C2212yescomplemented
138#2601C2212yes—
139#2601C2212yescomplemented
140#2599C2212yes—
141#2599C2212yescomplemented
142#2597C2214yescomplemented
143#2597C2214yescomplemented
144#2580C2212yescomplemented
145#2576C2214yescomplemented
146#2567C2211yescharacteristic, complemented
147#2566C2211yescharacteristic
148#2565C2211yescharacteristic, complemented
149#2563C2211yescharacteristic
150#2559C2214yescomplemented
151#2559C2214yescomplemented
152#2559C2214yescomplemented
153#2555C2212yescomplemented
154#2548C2211yescharacteristic
155#2548C2211yescharacteristic
156#2548C2212yes—
157#2547C2211yescharacteristic
158#2546C2211yescharacteristic, complemented
159#2545C2211yescharacteristic, complemented
160#2544C2211yescharacteristic
161#2541C2212yes—
162#2541C2211yescharacteristic
163#2541C2211yescharacteristic
164#2538C2212yescomplemented
165#2537C2212yescomplemented
166#2535C2212yescomplemented
167#2531C2214yescomplemented
168#2528C2214yescomplemented
169#2526C2214yescomplemented
170#2513C2212yescomplemented
171#2512C2212yescomplemented
172#2508C2212yescomplemented
173#2506C2212yescomplemented
174#2500C2211yescharacteristic, complemented
175#2500C2214yescomplemented
176#2499C2211yescharacteristic, complemented
177#2499C2212yescomplemented
178#2497C2212yes—
179#2494C2212yes—
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2487C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2212yescomplemented
186#2479C2214yescomplemented
187#2479C2214yescomplemented
188#2477C2214yescomplemented
189#2476C2214yescomplemented
190#2476C2214yescomplemented
191#2476C2214yescomplemented
192#2475C2214yescomplemented
193#2472C2214yes—
194#2472C2214yes—
195#2471C2214yescomplemented
196#2471C2214yescomplemented
197#2464C2214yescomplemented
198#2459C2214yescomplemented
199#2458C2214yescomplemented
200#2458C2214yescomplemented
201#2452C2212yescomplemented
202#2452C2212yescomplemented
203#2445C2212yes—
204#2445C2212yes—
205#2432C2211yescharacteristic
206#2432C2212yes—
207#2431C2211yescharacteristic
208#2428C2212yes—
209#2428C2212yes—
210#2426C2214yescomplemented
211#2426C2214yescomplemented
212#2424C2214yes—
213#2422C2212yescomplemented
214#2420C2212yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2411C2214yes—
224#2410C2214yes—
225#2410C2214yes—
226#2408C2212yes—
227#2408C2212yes—
228#2408C2212yes—
229#2408C2212yes—
230#2408C2212yes—
231#2408C2212yes—
232#2405C2214yes—
233#2405C2214yes—
234#2392C2212yes—
235#2392C2212yescomplemented
236#2379C2212yescomplemented
237#2375C2214yes—
238#2372C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2361C2212yescomplemented
243#2346C2212yescomplemented
244#2344C2212yescomplemented
245#2342C2214yes—
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248#2330C2212yescomplemented
249#2328C2212yes—
250#2327C2212yescomplemented
251#2326C2212yes—
252#2324C2212yescomplemented
253#2324C2212yescomplemented
254#2317C2212yescomplemented
255#2309C2212yes—
256C4×C4⋊Q8C2211yescharacteristic, complemented
257C4×#127C2211yescharacteristic
258C4×#124C2211yescharacteristic
259C4×#124C2211yescharacteristic, complemented
260#2293C2212yescomplemented
261#2293C2212yescomplemented
262#2290C2212yes—
263#2290C2212yescomplemented
264#2285C2211yescharacteristic
265#2283C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2312yes—
271#563—48no—
272#555—48no—
273#540—48no—
274#535—48no—
275#533—44no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127—44no—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289#529—44no—
290C2×#126C2314yes—
291C2×#126C2312yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#125C2312yes—
295C2×#125C2311yescharacteristic
296C2×#125C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2311yescharacteristic
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2311yescharacteristic
303C2×#124C2311yescharacteristic
304C2×#124C2314yes—
305C2×#123C2312yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2311yescharacteristic
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C4×#41—44no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2312yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2312yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#396C2312yes—
418#396C2312yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2312yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#395C2312yes—
433#395C2312yes—
434#394C2314yes—
435#394C2312yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2312yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
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#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
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#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#379C2314yes—
707#379C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2311yescharacteristic
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2311yescharacteristic
737#376C2312yes—
738#376C2312yes—
739#376C2314yes—
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C25C2414yes—
743C2×#41—24no—
744C2×#41—42no—
745C2×#41—42no—
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—84no—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C4⋊Q8—28no—
798C4⋊Q8—24no—
799C4⋊Q8—42no—
800C4⋊Q8—42no—
801#127—28no—
802#127—44no—
803#127—42no—
804#127—42no—
805#127—44no—
806#127—44no—
807#127—44no—
808#127—42no—
809#126—44no—
810#126—48no—
811#126—48no—
812#126—84no—
813#125—28no—
814#125—42no—
815#125—48no—
816#124—28no—
817#124—28no—
818#124—24no—
819#124—42no—
820#124—42no—
821#124—44no—
822#124—48no—
823#124—84no—
824#123—44no—
825#123—48no—
826#123—48no—
827#123—48no—
828#123—84no—
829#123—84no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—42no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—84no—
836#121—42no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—84no—
852#121—84no—
853#121—84no—
854#121—84no—
855#121—84no—
856#121—84no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—84no—
861C4×Q8—42no—
862C4×Q8—42no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×D4—48no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—42no—
874C4×D4—42no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4—42no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—44no—
881#117—28no—
882#117—44no—
883#117—42no—
884#117—42no—
885#117—42no—
886#117—44no—
887#117—48no—
888#117—48no—
889#117—44no—
890#117—44no—
891#117—84no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—84no—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C42—24no—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089C24—28no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24C2514yes—
1097C24C2514yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100C24C2511yescharacteristic
1101C24C2511yescharacteristic
1102#41—416no—
1103C2×Q8—22no—
1104C2×Q8—24no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—44no—
1111C2×Q8—41no—
1112C2×Q8—42no—
1113C2×Q8H(5,𝔽2)14yes—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—41no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—41no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
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—44no—
1183C2×D4—44no—
1184C2×D4—816no—
1185C2×D4—816no—
1186C2×D4—816no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2514yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
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—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
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—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—22no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—22no—
1384C42—24no—
1385C42—24no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42—41no—
1392C42—42no—
1393C42—42no—
1394C42—41no—
1395C42H(5,𝔽2)14yes—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—21no—
1405C23—21no—
1406C23—24no—
1407C23—24no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—24no—
1413C23—22no—
1414C23—21no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—22no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—24no—
1424C23—22no—
1425C23—24no—
1426C23—24no—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—164no—
1437C23—164no—
1438C23#58512yes—
1439C23C2611yescharacteristic
1440Q8—44no—
1441Q8—82no—
1442Q8—84no—
1443Q8—84no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—48no—
1448D4—48no—
1449D4—82no—
1450D4—88no—
1451D4—84no—
1452D4—84no—
1453D4—88no—
1454D4—84no—
1455D4—84no—
1456D4—88no—
1457D4—84no—
1458D4—88no—
1459D4—84no—
1460D4—84no—
1461D4—164no—
1462D4—164no—
1463D4—164no—
1464D4—164no—
1465D4—164no—
1466D4—164no—
1467D4—164no—
1468C2×C4—28no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—44no—
1536C2×C4—82no—
1537C2×C4—82no—
1538C2×C4—88no—
1539C2×C4—88no—
1540C2×C4—88no—
1541C2×C4—164no—
1542C2×C4—164no—
1543C2×C4C2×H(5,𝔽2)12yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4#58514yes—
1550C22—22no—
1551C22—24no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—42no—
1556C22—41no—
1557C22—41no—
1558C22—44no—
1559C22—44no—
1560C22—41no—
1561C22—41no—
1562C22—44no—
1563C22—44no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—44no—
1568C22—44no—
1569C22—42no—
1570C22—42no—
1571C22—44no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—44no—
1585C22—44no—
1586C22—1616no—
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×H(5,𝔽2)11yescharacteristic
1589C22C2×#58512yes—
1590C22C2×#58511yescharacteristic
1591C22H(7,𝔽2)12yes—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—44no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—42no—
1607C4—44no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—44no—
1612C4—44no—
1613C4—42no—
1614C4—44no—
1615C4—42no—
1616C4#355114yes—
1617C2—42no—
1618C2—81no—
1619C2—81no—
1620C2—82no—
1621C2—84no—
1622C2—84no—
1623C2C2×#355111yescharacteristic
1624C2#6281811yescharacteristic
1625C2#6287411yescharacteristic
1626C2#6292312yes—
1627C2#6294112yes—
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. #59841C2semidirect
3. #59562C2semidirect
4. #58901C2semidirect
5. #58887C2semidirect
6. #58267C2semidirect
7. #56736C2semidirect
8. #56586C2semidirect
9. #53675C2semidirect
10. #52085C2semidirect
11. #51978C2semidirect
12. #51896C2semidirect
13. #51873C2semidirect
14. #51441C2semidirect
15. #49608C2semidirect
16. #46345C2semidirect
17. #46338C2semidirect
18. #46329C2semidirect
19. #42736C2semidirect
20. #42619C2semidirect
21. #42606C2semidirect
22. #42584C2semidirect
23. #37946C2semidirect
24. #37937C2semidirect
25. #37710C2semidirect
26. #37694C2semidirect
27. #37276C2semidirect
28. #35295C2semidirect
29. #35272C2semidirect
30. #35200C2semidirect
31. #34910C2semidirect
32. C2×#563C22semidirect
33. C2×#555C22semidirect
36. C2×#533C22semidirect
38. C2×#529C22semidirect
40. #2860C22semidirect
41. #2860C22semidirect
45. #2851C22semidirect
46. #2832C22semidirect
47. #2829C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2825C22semidirect
51. #2824C22semidirect
52. #2823C22semidirect
53. #2797C22semidirect
54. #2795C22semidirect
55. #2785C22semidirect
56. #2781C22semidirect
57. #2778C22semidirect
59. #2767C22semidirect
60. #2765C22semidirect
61. #2761C22semidirect
62. #2757C22semidirect
63. #2753C22semidirect
65. #2749C22semidirect
68. #2733C22semidirect
69. #2731C22semidirect
70. #2731C22semidirect
71. #2731C22semidirect
72. #2730C22semidirect
73. #2728C22semidirect
74. #2723C22semidirect
75. #2718C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2711C22semidirect
81. #2709C22semidirect
82. #2707C22semidirect
83. #2707C22semidirect
84. #2706C22semidirect
85. #2705C22semidirect
86. #2702C22semidirect
87. #2701C22semidirect
88. #2699C22semidirect
89. #2699C22semidirect
90. #2691C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
97. #2682C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
101. #2680C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
109. #2673C22semidirect
110. #2671C22semidirect
113. #2661C22semidirect
114. #2653C22semidirect
115. #2648C22semidirect
116. #2647C22semidirect
118. #2641C22semidirect
120. #2638C22semidirect
121. #2636C22semidirect
122. #2629C22semidirect
124. #2624C22semidirect
125. #2624C22semidirect
130. #2619C22semidirect
132. #2610C22semidirect
134. #2609C22semidirect
135. #2603C22semidirect
137. #2602C22semidirect
139. #2601C22semidirect
141. #2599C22semidirect
142. #2597C22semidirect
143. #2597C22semidirect
144. #2580C22semidirect
145. #2576C22semidirect
146. #2567C22semidirect
148. #2565C22semidirect
150. #2559C22semidirect
151. #2559C22semidirect
152. #2559C22semidirect
153. #2555C22semidirect
158. #2546C22semidirect
159. #2545C22semidirect
164. #2538C22semidirect
165. #2537C22semidirect
166. #2535C22semidirect
167. #2531C22semidirect
168. #2528C22semidirect
169. #2526C22semidirect
170. #2513C22semidirect
171. #2512C22semidirect
172. #2508C22semidirect
173. #2506C22semidirect
174. #2500C22semidirect
175. #2500C22semidirect
176. #2499C22semidirect
177. #2499C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
185. #2485C22semidirect
186. #2479C22semidirect
187. #2479C22semidirect
188. #2477C22semidirect
189. #2476C22semidirect
190. #2476C22semidirect
191. #2476C22semidirect
192. #2475C22semidirect
195. #2471C22semidirect
196. #2471C22semidirect
197. #2464C22semidirect
198. #2459C22semidirect
199. #2458C22semidirect
200. #2458C22semidirect
201. #2452C22semidirect
202. #2452C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
213. #2422C22semidirect
214. #2420C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
235. #2392C22semidirect
236. #2379C22semidirect
238. #2372C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2361C22semidirect
243. #2346C22semidirect
244. #2344C22semidirect
248. #2330C22semidirect
250. #2327C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
254. #2317C22semidirect
256. C4×C4⋊Q8C22semidirect
259. C4×#124C22semidirect
260. #2293C22semidirect
261. #2293C22semidirect
263. #2290C22semidirect
265. #2283C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599522
#598412
#595622
#589012
#588872
#582672
#567362
#565862
#536752
#520852
#519782
#518962
#518732
#514412
#496082
#463452
#463382
#463292
#427362
#426192
#426062
#425842
#379462
#379372
#377102
#376942
#372762
#352952
#352722
#352002
#349102