Finite Group Databasebeta

← #7696963

Subgroups — #7696963

Order 512.

6047 conjugacy classes of subgroups.

The subgroup lattice has 1603 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59947C212yesmaximal, complemented
2#59841C211yesmaximal, characteristic, complemented
3#59232C212yesmaximal, complemented
4#59026C214yesmaximal, complemented
5#52228C211yesmaximal, characteristic, complemented
6C2×#2699C212yesmaximal, complemented
7#45437C211yesmaximal, characteristic, complemented
8#45408C211yesmaximal, characteristic, complemented
9#45052C212yesmaximal, complemented
10#45020C212yesmaximal, complemented
11#43963C214yesmaximal, complemented
12#43265C212yesmaximal, complemented
13#43198C214yesmaximal, complemented
14#43150C212yesmaximal, complemented
15#38942C212yesmaximal, complemented
16#38934C214yesmaximal, complemented
17#38286C212yesmaximal, complemented
18#38283C214yesmaximal, complemented
19#37954C212yesmaximal, complemented
20#37949C214yesmaximal, complemented
21#36289C211yesmaximal, characteristic, complemented
22D4×#121C212yesmaximal, complemented
23#35950C211yesmaximal, characteristic, complemented
24#35903C212yesmaximal, complemented
25#35903C211yesmaximal, characteristic, complemented
26#35691C212yesmaximal, complemented
27#34290C212yesmaximal, complemented
28#34261C212yesmaximal, complemented
29#34190C212yesmaximal, complemented
30C2×#555C2212yescomplemented
31C2×#554C2211yescharacteristic
32C2×#554C2211yescharacteristic
33C2×D42C2212yes—
34C2×D42C2211yescharacteristic
35C2×D42C2212yes—
36C2×D42C2211yescharacteristic
37C22×#121C2214yescomplemented
38C2×#518C2212yes—
39C22×C4×D4C2212yes—
40#2858C2211yescharacteristic, complemented
41#2856C2212yescomplemented
42#2850C2212yescomplemented
43#2847C2214yescomplemented
44#2803C2214yescomplemented
45#2803C2214yescomplemented
46#2803C2214yescomplemented
47#2795C2214yescomplemented
48#2785C2211yescharacteristic, complemented
49#2784C2211yescharacteristic, complemented
50#2781C2212yescomplemented
51#2781C2214yescomplemented
52#2775C2212yescomplemented
53#2769C2211yescharacteristic, complemented
54#2756C2214yescomplemented
55#2756C2212yescomplemented
56#2756C2214yescomplemented
57#2756C2214yescomplemented
58#2756C2214yescomplemented
59#2744C2212yescomplemented
60#2744C2214yescomplemented
61#2737C2212yescomplemented
62#2737C2214yescomplemented
63#2737C2214yescomplemented
64#2733C2212yescomplemented
65#2733C2214yescomplemented
66#2731C2212yescomplemented
67#2699C2211yescharacteristic
68#2699C2212yescomplemented
69#2699C2214yescomplemented
70#2699C2214yescomplemented
71#2699C2214yescomplemented
72#2699C2212yescomplemented
73#2699C2214yescomplemented
74#2699C2214yescomplemented
75#2699C2212yescomplemented
76#2699C2212yescomplemented
77#2699C2214yescomplemented
78#2699C2214yescomplemented
79#2699C2214yescomplemented
80#2686C2214yescomplemented
81#2686C2212yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2660C2211yescharacteristic, complemented
85#2659C2212yescomplemented
86#2641C2211yescharacteristic, complemented
87#2641C2212yescomplemented
88#2639C2212yescomplemented
89#2639C2214yescomplemented
90#2619C2212yescomplemented
91#2617C2214yescomplemented
92#2610C2214yescomplemented
93#2610C2214yescomplemented
94#2610C2214yescomplemented
95#2609C2212yescomplemented
96#2593C2212yescomplemented
97#2591C2212yescomplemented
98#2591C2214yescomplemented
99#2584C2211yescharacteristic, complemented
100#2583C2212yescomplemented
101#2572C2212yescomplemented
102#2572C2214yescomplemented
103#2563C2211yescharacteristic, complemented
104#2562C2212yescomplemented
105#2562C2211yescharacteristic, complemented
106#2555C2212yescomplemented
107#2555C2212yescomplemented
108#2555C2214yescomplemented
109#2555C2214yescomplemented
110#2555C2214yescomplemented
111#2552C2212yescomplemented
112#2550C2212yescomplemented
113#2549C2214yescomplemented
114#2548C2211yescharacteristic, complemented
115#2548C2212yescomplemented
116#2548C2211yescharacteristic, complemented
117#2546C2211yescharacteristic, complemented
118#2543C2214yescomplemented
119#2541C2212yescomplemented
120#2541C2212yescomplemented
121#2537C2214yescomplemented
122#2537C2212yescomplemented
123#2535C2212yescomplemented
124#2531C2214yescomplemented
125#2531C2214yescomplemented
126#2529C2214yescomplemented
127#2526C2214yescomplemented
128#2526C2214yescomplemented
129#2518C2214yescomplemented
130#2504C2212yescomplemented
131#2502C2212yescomplemented
132#2500C2214yescomplemented
133#2500C2214yescomplemented
134#2491C2212yescomplemented
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2491C2214yescomplemented
138#2490C2212yescomplemented
139#2490C2212yescomplemented
140#2490C2212yescomplemented
141#2490C2212yescomplemented
142#2490C2212yescomplemented
143#2476C2214yescomplemented
144#2476C2214yescomplemented
145#2476C2214yescomplemented
146#2476C2214yescomplemented
147#2472C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2459C2214yescomplemented
156#2459C2214yescomplemented
157#2459C2214yescomplemented
158#2440C2214yescomplemented
159#2435C2214yescomplemented
160#2435C2212yescomplemented
161#2435C2212yescomplemented
162#2428C2212yescomplemented
163#2428C2212yescomplemented
164#2428C2212yescomplemented
165#2428C2212yescomplemented
166#2424C2214yescomplemented
167#2424C2214yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2420C2214yescomplemented
171#2420C2214yescomplemented
172#2416C2212yescomplemented
173#2416C2214yescomplemented
174#2416C2212yescomplemented
175#2414C2214yescomplemented
176#2414C2214yescomplemented
177#2414C2212yescomplemented
178#2414C2212yescomplemented
179#2414C2214yescomplemented
180#2410C2214yescomplemented
181#2410C2214yescomplemented
182#2410C2214yescomplemented
183#2410C2214yescomplemented
184#2408C2214yescomplemented
185#2408C2214yescomplemented
186#2399C2211yescharacteristic, complemented
187#2398C2211yescharacteristic, complemented
188#2398C2212yescomplemented
189#2392C2212yescomplemented
190C2×#398C2212yescomplemented
191C2×#394C2212yescomplemented
192C2×#394C2214yescomplemented
193C2×#392C2214yescomplemented
194#2366C2212yescomplemented
195#2364C2214yescomplemented
196#2363C2214yescomplemented
197#2363C2212yescomplemented
198#2361C2212yescomplemented
199#2358C2214yescomplemented
200#2358C2214yescomplemented
201#2357C2212yescomplemented
202#2357C2212yescomplemented
203#2357C2212yescomplemented
204#2354C2212yescomplemented
205#2353C2214yescomplemented
206#2353C2214yescomplemented
207#2353C2214yescomplemented
208#2352C2212yescomplemented
209#2352C2214yescomplemented
210#2349C2212yes—
211#2349C2212yes—
212D4×C4⋊C4C2212yes—
213#2347C2212yescomplemented
214#2346C2212yescomplemented
215#2344C2212yescomplemented
216#2344C2212yescomplemented
217#2342C2214yescomplemented
218#2342C2214yescomplemented
219#2342C2214yescomplemented
220#2342C2214yescomplemented
221D4×C22⋊C4C2212yes—
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2212yes—
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227D4×C22⋊C4C2214yescomplemented
228#2328C2212yescomplemented
229#2325C2214yescomplemented
230#2324C2212yescomplemented
231#2321C2214yescomplemented
232#2319C2212yescomplemented
233#2319C2212yescomplemented
234#2319C2212yescomplemented
235#2318C2214yescomplemented
236#2318C2214yescomplemented
237#2318C2214yescomplemented
238#2314C2212yescomplemented
239#2312C2214yescomplemented
240C4×#124C2211yescharacteristic, complemented
241C4×#121C2212yescomplemented
242C4×#121C2212yescomplemented
243C4×#120C2214yescomplemented
244#2298C2212yescomplemented
245#2293C2212yescomplemented
246C2×#390C2212yescomplemented
247#2290C2212yescomplemented
248#2290C2214yescomplemented
249C2×#388C2214yescomplemented
250C2×#386C2214yescomplemented
251#2283C2212yescomplemented
252#2283C2212yescomplemented
253#2280C2214yescomplemented
254C2×#381C2214yescomplemented
255#2275C2211yescharacteristic
256#2275C2212yes—
257#2275C2211yescharacteristic
258C42×D4C2211yescharacteristic
259C23×D4C2312yes—
260C23×D4C2312yes—
261C23×D4C2314yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C24×C4C2314yes—
266#555—48no—
267#554—44no—
268#554—44no—
269D42—216no—
270D42—44no—
271D42—48no—
272D42—44no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×#127C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#125C2312yes—
281C2×#125C2311yescharacteristic
282C2×#125C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×#121—416no—
297C2×#121C2312yes—
298C2×#121C2314yes—
299C2×#121C2312yes—
300C2×#121C2314yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327#518—216no—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×D4—216no—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C2×#117C2314yes—
357C2×#117C2314yes—
358C2×#117C2314yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2314yes—
372C22×C42C2312yes—
373C22×C42C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2311yescharacteristic
377#400C2311yescharacteristic
378#400C2312yes—
379#400C2312yes—
380#398C2312yes—
381#398C2312yes—
382#398C2312yes—
383#398C2311yescharacteristic
384#398C2312yes—
385#398C2314yes—
386#398C2314yes—
387#398C2312yes—
388#398C2312yes—
389#398C2311yescharacteristic
390#398C2314yes—
391#398C2312yes—
392#397C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2312yes—
398#397C2312yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#396C2314yes—
403#396C2312yes—
404#396C2312yes—
405#396C2314yes—
406#395C2311yescharacteristic
407#395C2312yes—
408#395C2314yes—
409#395C2314yes—
410#395C2311yescharacteristic
411#395C2312yes—
412#394C2314yes—
413#394C2312yes—
414#394C2314yes—
415#394C2312yes—
416#394C2312yes—
417#394C2312yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2312yes—
429#394C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2312yes—
436#394C2311yescharacteristic
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2311yescharacteristic
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2312yes—
458#393C2314yes—
459#393C2312yes—
460#393C2312yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#384C2312yes—
629#384C2314yes—
630#383C2314yes—
631#383C2314yes—
632#383C2312yes—
633#383C2312yes—
634#382C2312yes—
635#382C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2314yes—
639#382C2312yes—
640#382C2311yescharacteristic
641#381C2314yes—
642#381C2314yes—
643#381C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#381C2312yes—
651#381C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#379C2314yes—
670#379C2314yes—
671#379C2314yes—
672#379C2314yes—
673#379C2314yes—
674#379C2314yes—
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711#376C2311yescharacteristic
712#376C2312yes—
713#376C2311yescharacteristic
714#376C2314yes—
715#376C2314yes—
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C43C2311yescharacteristic
722C25C2414yes—
723C25C2414yes—
724C22×Q8C2411yescharacteristic
725C22×Q8C2411yescharacteristic
726C22×Q8C2412yes—
727C22×Q8C2412yes—
728C22×D4—28no—
729C22×D4—28no—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—28no—
735C22×D4—216no—
736C22×D4—44no—
737C22×D4—48no—
738C22×D4—44no—
739C22×D4—48no—
740C22×D4—48no—
741C22×D4—82no—
742C22×D4—84no—
743C22×D4—84no—
744C22×D4—84no—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C23×C4—216no—
769C23×C4—48no—
770C23×C4—84no—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C4⋊Q8—42no—
788C4⋊Q8—42no—
789C4⋊Q8—44no—
790#127—28no—
791#127—44no—
792#127—42no—
793#127—42no—
794#125—42no—
795#125—44no—
796#125—42no—
797#124—24no—
798#124—48no—
799#124—44no—
800#124—82no—
801#124—84no—
802#124—84no—
803#124—84no—
804#124—84no—
805C22⋊Q8—44no—
806C22⋊Q8—44no—
807C22⋊Q8—48no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810#121—28no—
811#121—216no—
812#121—216no—
813#121—28no—
814#121—28no—
815#121—48no—
816#121—48no—
817#121—48no—
818#121—48no—
819#121—48no—
820#121—44no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—48no—
825#121—48no—
826#121—44no—
827#121—48no—
828#121—44no—
829#121—84no—
830#121—84no—
831#121—84no—
832#121—84no—
833#121—84no—
834#120—216no—
835#120—216no—
836#120—48no—
837#120—48no—
838#120—48no—
839#120—48no—
840C4×Q8—42no—
841C4×Q8—42no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—24no—
846C4×D4—24no—
847C4×D4—24no—
848C4×D4—216no—
849C4×D4—216no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—216no—
853C4×D4—216no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—42no—
860C4×D4—48no—
861C4×D4—84no—
862C4×D4—84no—
863C4×D4#41116yes—
864#117—28no—
865#117—28no—
866#117—48no—
867#117—48no—
868#117—84no—
869#117—84no—
870C2×C4⋊C4—28no—
871C2×C4⋊C4—48no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C22⋊C4—216no—
916C2×C22⋊C4—216no—
917C2×C22⋊C4—216no—
918C2×C22⋊C4—48no—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—84no—
921C2×C22⋊C4—84no—
922C2×C22⋊C4—84no—
923C2×C22⋊C4—84no—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C42—28no—
993C2×C42—82no—
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2414yes—
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016#95C2411yescharacteristic
1017#95C2412yes—
1018#95C2411yescharacteristic
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2411yescharacteristic
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069C24—28no—
1070C24—28no—
1071C24—28no—
1072C24—28no—
1073C24—28no—
1074C24—28no—
1075C24—28no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24C2512yes—
1084C24C2514yes—
1085C24C2514yes—
1086C24C2512yes—
1087C24C2512yes—
1088C2×Q8—22no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—42no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—41no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—432no—
1161C2×D4—432no—
1162C2×D4—832no—
1163C2×D4—816no—
1164C2×D4—832no—
1165C2×D4—816no—
1166C2×D4C2×#4118yes—
1167C2×D4H(5,𝔽2)14yes—
1168C2×D4H(5,𝔽2)14yes—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—24no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—832no—
1215C22×C4C2×#41116yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4C2×#4118yes—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
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—42no—
1347C22⋊C4—42no—
1348C22⋊C4C2×#41116yes—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—28no—
1353C42—24no—
1354C42—22no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—41no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—44no—
1369C42—42no—
1370C42C2×#4118yes—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—24no—
1383C23—22no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—24no—
1397C23—24no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—416no—
1402C23—416no—
1403C23—416no—
1404C23—416no—
1405C23—416no—
1406C23—88no—
1407C23—88no—
1408C23—88no—
1409C23—88no—
1410C23—88no—
1411C23—88no—
1412C23—88no—
1413C23—88no—
1414C23—88no—
1415C23C22×#4118yes—
1416C23C2×H(5,𝔽2)14yes—
1417C23C2×H(5,𝔽2)14yes—
1418C23C2611yescharacteristic
1419Q8—82no—
1420Q8—82no—
1421Q8—162no—
1422Q8—162no—
1423D4—44no—
1424D4—416no—
1425D4—48no—
1426D4—48no—
1427D4—44no—
1428D4—416no—
1429D4—416no—
1430D4—48no—
1431D4—48no—
1432D4—88no—
1433D4—88no—
1434D4—88no—
1435D4—84no—
1436D4—88no—
1437D4—88no—
1438D4—84no—
1439D4—88no—
1440D4—88no—
1441D4—88no—
1442D4—164no—
1443D4—162no—
1444D4—162no—
1445D4#555116yescomplemented
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—416no—
1507C2×C4—416no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—48no—
1512C2×C4—88no—
1513C2×C4—84no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—84no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4—84no—
1521C2×C4—88no—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4118yes—
1525C2×C4C22×#4114yes—
1526C2×C4C2×H(5,𝔽2)12yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C22—28no—
1529C22—24no—
1530C22—28no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—44no—
1540C22—44no—
1541C22—42no—
1542C22—44no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—44no—
1548C22—44no—
1549C22—44no—
1550C22—44no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—44no—
1556C22—44no—
1557C22—42no—
1558C22—44no—
1559C22—44no—
1560C22—832no—
1561C22—1616no—
1562C22C2×#55518yes—
1563C22C23×#4112yes—
1564C22C22×H(5,𝔽2)11yescharacteristic
1565C22C22×H(5,𝔽2)11yescharacteristic
1566C22H(7,𝔽2)12yes—
1567C22H(7,𝔽2)11yescharacteristic
1568C4—24no—
1569C4—28no—
1570C4—24no—
1571C4—22no—
1572C4—44no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—44no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4C2×#55514yes—
1592C2—28no—
1593C2—44no—
1594C2—84no—
1595C2—84no—
1596C2—82no—
1597C2C22×#55511yescharacteristic
1598C2#6285812yes—
1599C2#6289211yescharacteristic
1600C2#6298312yes—
1601C2#6304111yescharacteristic
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. #59947C2semidirect
2. #59841C2semidirect
3. #59232C2semidirect
4. #59026C2semidirect
5. #52228C2semidirect
6. C2×#2699C2semidirect
7. #45437C2semidirect
8. #45408C2semidirect
9. #45052C2semidirect
10. #45020C2semidirect
11. #43963C2semidirect
12. #43265C2semidirect
13. #43198C2semidirect
14. #43150C2semidirect
15. #38942C2semidirect
16. #38934C2semidirect
17. #38286C2semidirect
18. #38283C2semidirect
19. #37954C2semidirect
20. #37949C2semidirect
21. #36289C2semidirect
22. D4×#121C2semidirect
23. #35950C2semidirect
24. #35903C2semidirect
25. #35903C2semidirect
26. #35691C2semidirect
27. #34290C2semidirect
28. #34261C2semidirect
29. #34190C2semidirect
30. C2×#555C22semidirect
37. C22×#121C22semidirect
40. #2858C22semidirect
41. #2856C22semidirect
42. #2850C22semidirect
43. #2847C22semidirect
44. #2803C22semidirect
45. #2803C22semidirect
46. #2803C22semidirect
47. #2795C22semidirect
48. #2785C22semidirect
49. #2784C22semidirect
50. #2781C22semidirect
51. #2781C22semidirect
52. #2775C22semidirect
53. #2769C22semidirect
54. #2756C22semidirect
55. #2756C22semidirect
56. #2756C22semidirect
57. #2756C22semidirect
58. #2756C22semidirect
59. #2744C22semidirect
60. #2744C22semidirect
61. #2737C22semidirect
62. #2737C22semidirect
63. #2737C22semidirect
64. #2733C22semidirect
65. #2733C22semidirect
66. #2731C22semidirect
68. #2699C22semidirect
69. #2699C22semidirect
70. #2699C22semidirect
71. #2699C22semidirect
72. #2699C22semidirect
73. #2699C22semidirect
74. #2699C22semidirect
75. #2699C22semidirect
76. #2699C22semidirect
77. #2699C22semidirect
78. #2699C22semidirect
79. #2699C22semidirect
80. #2686C22semidirect
81. #2686C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2660C22semidirect
85. #2659C22semidirect
86. #2641C22semidirect
87. #2641C22semidirect
88. #2639C22semidirect
89. #2639C22semidirect
90. #2619C22semidirect
91. #2617C22semidirect
92. #2610C22semidirect
93. #2610C22semidirect
94. #2610C22semidirect
95. #2609C22semidirect
96. #2593C22semidirect
97. #2591C22semidirect
98. #2591C22semidirect
99. #2584C22semidirect
100. #2583C22semidirect
101. #2572C22semidirect
102. #2572C22semidirect
103. #2563C22semidirect
104. #2562C22semidirect
105. #2562C22semidirect
106. #2555C22semidirect
107. #2555C22semidirect
108. #2555C22semidirect
109. #2555C22semidirect
110. #2555C22semidirect
111. #2552C22semidirect
112. #2550C22semidirect
113. #2549C22semidirect
114. #2548C22semidirect
115. #2548C22semidirect
116. #2548C22semidirect
117. #2546C22semidirect
118. #2543C22semidirect
119. #2541C22semidirect
120. #2541C22semidirect
121. #2537C22semidirect
122. #2537C22semidirect
123. #2535C22semidirect
124. #2531C22semidirect
125. #2531C22semidirect
126. #2529C22semidirect
127. #2526C22semidirect
128. #2526C22semidirect
129. #2518C22semidirect
130. #2504C22semidirect
131. #2502C22semidirect
132. #2500C22semidirect
133. #2500C22semidirect
134. #2491C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2491C22semidirect
138. #2490C22semidirect
139. #2490C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2476C22semidirect
144. #2476C22semidirect
145. #2476C22semidirect
146. #2476C22semidirect
147. #2472C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2459C22semidirect
156. #2459C22semidirect
157. #2459C22semidirect
158. #2440C22semidirect
159. #2435C22semidirect
160. #2435C22semidirect
161. #2435C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2424C22semidirect
167. #2424C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2420C22semidirect
171. #2420C22semidirect
172. #2416C22semidirect
173. #2416C22semidirect
174. #2416C22semidirect
175. #2414C22semidirect
176. #2414C22semidirect
177. #2414C22semidirect
178. #2414C22semidirect
179. #2414C22semidirect
180. #2410C22semidirect
181. #2410C22semidirect
182. #2410C22semidirect
183. #2410C22semidirect
184. #2408C22semidirect
185. #2408C22semidirect
186. #2399C22semidirect
187. #2398C22semidirect
188. #2398C22semidirect
189. #2392C22semidirect
190. C2×#398C22semidirect
191. C2×#394C22semidirect
192. C2×#394C22semidirect
193. C2×#392C22semidirect
194. #2366C22semidirect
195. #2364C22semidirect
196. #2363C22semidirect
197. #2363C22semidirect
198. #2361C22semidirect
199. #2358C22semidirect
200. #2358C22semidirect
201. #2357C22semidirect
202. #2357C22semidirect
203. #2357C22semidirect
204. #2354C22semidirect
205. #2353C22semidirect
206. #2353C22semidirect
207. #2353C22semidirect
208. #2352C22semidirect
209. #2352C22semidirect
213. #2347C22semidirect
214. #2346C22semidirect
215. #2344C22semidirect
216. #2344C22semidirect
217. #2342C22semidirect
218. #2342C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
227. D4×C22⋊C4C22semidirect
228. #2328C22semidirect
229. #2325C22semidirect
230. #2324C22semidirect
231. #2321C22semidirect
232. #2319C22semidirect
233. #2319C22semidirect
234. #2319C22semidirect
235. #2318C22semidirect
236. #2318C22semidirect
237. #2318C22semidirect
238. #2314C22semidirect
239. #2312C22semidirect
240. C4×#124C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. C4×#120C22semidirect
244. #2298C22semidirect
245. #2293C22semidirect
246. C2×#390C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. C2×#388C22semidirect
250. C2×#386C22semidirect
251. #2283C22semidirect
252. #2283C22semidirect
253. #2280C22semidirect
254. C2×#381C22semidirect
1445. D4#555semidirect

Maximal subgroups

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

subgroupindex
#599472
#598412
#592322
#590262
#522282
C2×#26992
#454372
#454082
#450522
#450202
#439632
#432652
#431982
#431502
#389422
#389342
#382862
#382832
#379542
#379492
#362892
D4×#1212
#359502
#359032
#356912
#342902
#342612
#341902