Finite Group Databasebeta

← #7696307

Subgroups — #7696307

Order 512.

5749 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C212yesmaximal, complemented
2#59904C212yesmaximal, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59074C214yesmaximal, complemented
5#52267C211yesmaximal, characteristic, complemented
6#52163C212yesmaximal, complemented
7#45367C212yesmaximal, complemented
8#44970C212yesmaximal, complemented
9#44876C212yesmaximal, complemented
10#43822C214yesmaximal, complemented
11#43816C214yesmaximal, complemented
12#43377C214yesmaximal, complemented
13#40413C214yesmaximal, complemented
14#39817C212yesmaximal, complemented
15#39765C211yesmaximal, characteristic, complemented
16#39355C211yesmaximal, characteristic, complemented
17#38761C212yesmaximal, complemented
18#38760C212yesmaximal, complemented
19#38509C214yesmaximal, complemented
20#38090C212yesmaximal, complemented
21#36419C211yesmaximal, characteristic, complemented
22#36101C212yesmaximal, complemented
23#35860C212yesmaximal, complemented
24#35838C212yesmaximal, complemented
25#35787C212yesmaximal, complemented
26#34330C211yesmaximal, characteristic, complemented
27#34321C211yesmaximal, characteristic, complemented
28#34288C212yesmaximal, complemented
29#34265C212yesmaximal, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#555C2211yescharacteristic
32C2×#554C2212yescomplemented
33C2×#550C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#546C2212yes—
36C2×#535C2212yes—
37C2×#525C2214yescomplemented
38C2×#520C2212yes—
39C22×C4×D4C2212yescomplemented
40#2858C2211yescharacteristic
41#2856C2212yes—
42#2850C2212yescomplemented
43#2847C2214yescomplemented
44#2808C2212yescomplemented
45#2808C2212yescomplemented
46#2807C2212yescomplemented
47#2806C2211yescharacteristic, complemented
48#2805C2211yescharacteristic, complemented
49#2804C2211yescharacteristic
50#2804C2212yescomplemented
51#2802C2212yescomplemented
52#2800C2214yescomplemented
53#2790C2212yescomplemented
54#2788C2212yescomplemented
55#2780C2212yes—
56#2780C2214yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2756C2214yescomplemented
60#2756C2214yescomplemented
61#2750C2214yescomplemented
62#2749C2214yescomplemented
63#2732C2211yescharacteristic
64#2732C2212yescomplemented
65#2732C2212yescomplemented
66#2729C2212yescomplemented
67#2728C2214yescomplemented
68#2724C2212yescomplemented
69#2711C2214yescomplemented
70#2708C2214yescomplemented
71#2708C2214yescomplemented
72#2699C2214yescomplemented
73#2697C2214yescomplemented
74#2688C2214yescomplemented
75#2685C2214yescomplemented
76#2682C2212yes—
77#2682C2212yes—
78#2679C2212yes—
79#2679C2212yes—
80#2678C2214yescomplemented
81#2676C2214yes—
82#2676C2214yes—
83#2668C2214yes—
84#2668C2214yes—
85#2668C2214yescomplemented
86#2653C2214yescomplemented
87#2649C2214yescomplemented
88#2640C2212yescomplemented
89#2636C2214yescomplemented
90#2620C2212yes—
91#2620C2212yescomplemented
92#2609C2214yescomplemented
93#2601C2214yescomplemented
94#2601C2214yescomplemented
95#2598C2214yescomplemented
96#2597C2214yescomplemented
97#2594C2214yescomplemented
98#2592C2212yescomplemented
99#2591C2214yescomplemented
100#2578C2214yescomplemented
101#2576C2214yescomplemented
102#2574C2214yescomplemented
103#2573C2214yescomplemented
104#2568C2211yescharacteristic, complemented
105#2560C2214yescomplemented
106#2559C2214yescomplemented
107#2559C2214yescomplemented
108#2559C2214yescomplemented
109#2558C2214yescomplemented
110#2554C2214yescomplemented
111#2553C2214yescomplemented
112#2552C2212yescomplemented
113#2548C2211yescharacteristic
114#2544C2212yes—
115#2544C2212yescomplemented
116#2544C2212yescomplemented
117#2544C2212yescomplemented
118#2543C2214yescomplemented
119#2542C2212yescomplemented
120#2541C2212yes—
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2538C2212yescomplemented
124#2534C2214yescomplemented
125#2525C2214yescomplemented
126#2518C2214yescomplemented
127#2516C2214yescomplemented
128#2515C2214yescomplemented
129#2514C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2511C2212yescomplemented
133#2500C2212yes—
134#2500C2212yescomplemented
135#2499C2212yescomplemented
136#2493C2214yescomplemented
137#2488C2214yescomplemented
138#2481C2214yescomplemented
139#2477C2214yescomplemented
140#2476C2214yescomplemented
141#2476C2214yescomplemented
142#2475C2214yescomplemented
143#2472C2214yescomplemented
144#2472C2214yescomplemented
145#2472C2214yescomplemented
146#2471C2214yescomplemented
147#2471C2214yescomplemented
148#2467C2214yescomplemented
149#2463C2214yescomplemented
150#2461C2214yescomplemented
151#2460C2214yescomplemented
152#2458C2214yescomplemented
153#2456C2214yescomplemented
154#2456C2214yescomplemented
155#2454C2214yescomplemented
156#2450C2214yescomplemented
157#2449C2214yescomplemented
158#2448C2212yescomplemented
159#2447C2212yescomplemented
160#2446C2212yescomplemented
161#2445C2212yes—
162#2445C2212yes—
163#2445C2212yescomplemented
164#2443C2214yescomplemented
165#2433C2212yes—
166#2433C2212yescomplemented
167#2432C2212yes—
168#2432C2212yescomplemented
169#2431C2212yes—
170#2430C2214yescomplemented
171#2424C2214yes—
172#2424C2214yes—
173#2424C2214yescomplemented
174#2424C2214yescomplemented
175#2424C2214yescomplemented
176#2417C2214yescomplemented
177#2414C2214yescomplemented
178#2407C2214yescomplemented
179#2404C2214yescomplemented
180#2402C2212yescomplemented
181#2396C2212yescomplemented
182#2396C2212yescomplemented
183#2395C2214yescomplemented
184#2395C2214yescomplemented
185#2392C2214yescomplemented
186#2369C2211yescharacteristic, complemented
187#2368C2214yescomplemented
188#2367C2212yescomplemented
189#2367C2214yescomplemented
190#2367C2212yescomplemented
191#2367C2212yescomplemented
192#2367C2212yescomplemented
193#2367C2212yescomplemented
194#2366C2212yes—
195#2366C2211yescharacteristic
196#2366C2212yes—
197#2366C2212yes—
198#2366C2212yescomplemented
199#2364C2214yescomplemented
200#2363C2212yes—
201#2363C2212yescomplemented
202#2363C2214yescomplemented
203#2363C2214yescomplemented
204#2361C2212yes—
205#2361C2214yes—
206#2361C2212yescomplemented
207#2361C2214yescomplemented
208#2361C2214yescomplemented
209#2360C2212yescomplemented
210#2359C2214yescomplemented
211#2358C2214yes—
212#2357C2212yescomplemented
213#2355C2212yescomplemented
214#2355C2211yescharacteristic, complemented
215#2354C2212yescomplemented
216#2354C2211yescharacteristic, complemented
217#2354C2211yescharacteristic, complemented
218D4×C4⋊C4C2211yescharacteristic
219D4×C4⋊C4C2212yescomplemented
220#2347C2212yescomplemented
221#2347C2212yescomplemented
222#2342C2214yescomplemented
223#2339C2212yes—
224#2339C2212yescomplemented
225D4×C22⋊C4C2212yescomplemented
226#2337C2214yescomplemented
227#2333C2214yescomplemented
228#2328C2212yescomplemented
229#2326C2212yescomplemented
230#2325C2214yes—
231#2324C2212yes—
232#2324C2212yescomplemented
233#2322C2214yescomplemented
234#2321C2214yescomplemented
235#2321C2214yescomplemented
236#2309C2212yescomplemented
237C4×C4⋊Q8C2211yescharacteristic, complemented
238C4×C4⋊Q8C2211yescharacteristic, complemented
239C4×#127C2211yescharacteristic
240C4×C22⋊Q8C2212yescomplemented
241C4×C22⋊Q8C2212yescomplemented
242C4×#121C2212yes—
243C4×#121C2212yescomplemented
244C4×#120C2214yes—
245C4×#120C2214yescomplemented
246C4×#120C2214yescomplemented
247#2297C2212yes—
248#2297C2212yescomplemented
249#2297C2212yescomplemented
250#2296C2212yescomplemented
251#2296C2212yescomplemented
252#2295C2211yescharacteristic, complemented
253#2293C2211yescharacteristic
254#2290C2212yes—
255C2×#385C2214yescomplemented
256#2275C2212yescomplemented
257#2274C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2312yes—
263C24×C4C2314yes—
264#556—44no—
265#555—28no—
266#554—48no—
267#550—28no—
268#550—44no—
269#546—216no—
270#535—216no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2314yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288#525—416no—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321#520—48no—
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×D4—48no—
329C2×C4×D4C2312yes—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#399C2314yes—
384#399C2314yes—
385#399C2312yes—
386#399C2314yes—
387#399C2312yes—
388#398C2312yes—
389#398C2314yes—
390#398C2312yes—
391#398C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2312yes—
395#398C2312yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2312yes—
420#396C2314yes—
421#396C2312yes—
422#396C2312yes—
423#395C2312yes—
424#395C2312yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2312yes—
452#393C2312yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#390C2314yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
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#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#385C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#384C2311yescharacteristic
649#384C2311yescharacteristic
650#384C2311yescharacteristic
651#384C2312yes—
652#384C2312yes—
653#383C2314yes—
654#383C2314yes—
655#382C2312yes—
656#382C2314yes—
657#382C2312yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#379C2314yes—
670#379C2314yes—
671#379C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C43C2311yescharacteristic
722C25C2414yes—
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—82no—
730C2×#41—82no—
731C2×#41—82no—
732C22×Q8C2412yes—
733C22×Q8C2411yescharacteristic
734C22×Q8C2412yes—
735C22×Q8C2411yescharacteristic
736C22×Q8C2411yescharacteristic
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—44no—
740C22×D4C2411yescharacteristic
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2412yes—
758C23×C4—48no—
759C23×C4—48no—
760C23×C4—84no—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C4⋊Q8—24no—
777C4⋊Q8—24no—
778C4⋊Q8—42no—
779#127—28no—
780#127—28no—
781#127—44no—
782#127—42no—
783#127#4118yescomplemented
784#126—48no—
785#126—84no—
786#125—48no—
787#124—28no—
788#124—216no—
789#124—28no—
790#124—28no—
791#124—44no—
792#124—82no—
793#123—216no—
794#123—48no—
795#123—48no—
796#123—84no—
797C22⋊Q8—28no—
798C22⋊Q8—216no—
799C22⋊Q8—28no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—44no—
803C22⋊Q8—84no—
804#121—216no—
805#121—216no—
806#121—28no—
807#121—216no—
808#121—28no—
809#121—28no—
810#121—28no—
811#121—216no—
812#121—44no—
813#121—48no—
814#121—48no—
815#121—48no—
816#121—84no—
817#121—84no—
818#120—216no—
819#120—216no—
820#120—216no—
821#120—48no—
822#120—48no—
823#120—84no—
824#120—84no—
825C4×Q8—28no—
826C4×Q8—24no—
827C4×Q8—42no—
828C4×Q8—42no—
829C4×Q8—44no—
830C4×Q8—44no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—24no—
835C4×D4—28no—
836C4×D4—24no—
837C4×D4—24no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—48no—
843C4×D4—48no—
844C4×D4—48no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—82no—
852C4×D4—82no—
853C4×D4—84no—
854C4×D4—82no—
855C4×D4#4118yescomplemented
856#117—28no—
857#117—28no—
858#117—28no—
859#117—44no—
860#117—44no—
861#117—48no—
862#117—48no—
863#117—82no—
864#117—82no—
865C2×C4⋊C4—28no—
866C2×C4⋊C4—48no—
867C2×C4⋊C4—48no—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C22⋊C4—216no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—84no—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C42—44no—
984C2×C42—82no—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2411yescharacteristic
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063C24—28no—
1064C24—28no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24C2514yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2514yes—
1074#41—432no—
1075#41—816no—
1076#41—816no—
1077C2×Q8—22no—
1078C2×Q8—24no—
1079C2×Q8—24no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—22no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—42no—
1088C2×Q8—41no—
1089C2×Q8—42no—
1090C2×Q8—41no—
1091C2×Q8H(5,𝔽2)14yes—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—432no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—41no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—41no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4C2×#4118yes—
1144C2×D4C2×#4114yes—
1145C2×D4C2×#4118yes—
1146C2×D4C2×#4118yes—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—832no—
1192C22×C4C2×#4118yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2514yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4C2×#4114yes—
1271C4⋊C4H(5,𝔽2)14yes—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
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—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4C2×#4118yes—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—28no—
1336C42—24no—
1337C42—22no—
1338C42—22no—
1339C42—42no—
1340C42—42no—
1341C42—41no—
1342C42—42no—
1343C42—42no—
1344C42—42no—
1345C42—41no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—41no—
1353C42C2×#4114yes—
1354C42C2×#4114yes—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—24no—
1365C23—22no—
1366C23—24no—
1367C23—22no—
1368C23—24no—
1369C23—24no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—22no—
1381C23—416no—
1382C23—416no—
1383C23—88no—
1384C23—88no—
1385C23—88no—
1386C23—88no—
1387C23—88no—
1388C23C22×#4114yes—
1389C23C22×#4118yes—
1390C23C2611yescharacteristic
1391Q8—44no—
1392Q8—44no—
1393Q8—48no—
1394Q8—84no—
1395Q8—82no—
1396D4—216no—
1397D4—48no—
1398D4—44no—
1399D4—48no—
1400D4—416no—
1401D4—416no—
1402D4—44no—
1403D4—48no—
1404D4—88no—
1405D4—84no—
1406D4—88no—
1407D4—88no—
1408D4—88no—
1409D4—88no—
1410D4—88no—
1411D4—88no—
1412D4—164no—
1413D4—162no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—216no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—416no—
1480C2×C4—48no—
1481C2×C4—416no—
1482C2×C4—48no—
1483C2×C4—48no—
1484C2×C4—48no—
1485C2×C4—88no—
1486C2×C4—88no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—164no—
1493C2×C4C22×#4114yes—
1494C2×C4C22×#4112yes—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4112yes—
1500C2×C4C2×H(5,𝔽2)14yes—
1501C2×C4C2×H(5,𝔽2)12yes—
1502C2×C4C2×H(5,𝔽2)14yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C22—28no—
1505C22—24no—
1506C22—24no—
1507C22—28no—
1508C22—24no—
1509C22—28no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—44no—
1514C22—44no—
1515C22—42no—
1516C22—42no—
1517C22—44no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—44no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—44no—
1528C22—44no—
1529C22—42no—
1530C22—44no—
1531C22—42no—
1532C22—832no—
1533C22C23×#4111yescharacteristic
1534C22C23×#4111yescharacteristic
1535C22C22×H(5,𝔽2)11yescharacteristic
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22H(7,𝔽2)11yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C222−1+611yescharacteristic
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—24no—
1545C4—24no—
1546C4—22no—
1547C4—24no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—44no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—44no—
1562C4—42no—
1563C4—44no—
1564C4#348114yes—
1565C2—48no—
1566C2—44no—
1567C2—82no—
1568C2—84no—
1569C2C2×#348111yescharacteristic
1570C2#6284511yescharacteristic
1571C2#6284611yescharacteristic
1572C2#6289211yescharacteristic
1573C2#6298411yescharacteristic
1574C2#6298611yescharacteristic
1575C2#6305211yescharacteristic
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. #60044C2semidirect
2. #59904C2semidirect
3. #59823C2semidirect
4. #59074C2semidirect
5. #52267C2semidirect
6. #52163C2semidirect
7. #45367C2semidirect
8. #44970C2semidirect
9. #44876C2semidirect
10. #43822C2semidirect
11. #43816C2semidirect
12. #43377C2semidirect
13. #40413C2semidirect
14. #39817C2semidirect
15. #39765C2semidirect
16. #39355C2semidirect
17. #38761C2semidirect
18. #38760C2semidirect
19. #38509C2semidirect
20. #38090C2semidirect
21. #36419C2semidirect
22. #36101C2semidirect
23. #35860C2semidirect
24. #35838C2semidirect
25. #35787C2semidirect
26. #34330C2semidirect
27. #34321C2semidirect
28. #34288C2semidirect
29. #34265C2semidirect
30. C2×#556C22semidirect
32. C2×#554C22semidirect
37. C2×#525C22semidirect
39. C22×C4×D4C22semidirect
42. #2850C22semidirect
43. #2847C22semidirect
44. #2808C22semidirect
45. #2808C22semidirect
46. #2807C22semidirect
47. #2806C22semidirect
48. #2805C22semidirect
50. #2804C22semidirect
51. #2802C22semidirect
52. #2800C22semidirect
53. #2790C22semidirect
54. #2788C22semidirect
56. #2780C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2756C22semidirect
60. #2756C22semidirect
61. #2750C22semidirect
62. #2749C22semidirect
64. #2732C22semidirect
65. #2732C22semidirect
66. #2729C22semidirect
67. #2728C22semidirect
68. #2724C22semidirect
69. #2711C22semidirect
70. #2708C22semidirect
71. #2708C22semidirect
72. #2699C22semidirect
73. #2697C22semidirect
74. #2688C22semidirect
75. #2685C22semidirect
80. #2678C22semidirect
85. #2668C22semidirect
86. #2653C22semidirect
87. #2649C22semidirect
88. #2640C22semidirect
89. #2636C22semidirect
91. #2620C22semidirect
92. #2609C22semidirect
93. #2601C22semidirect
94. #2601C22semidirect
95. #2598C22semidirect
96. #2597C22semidirect
97. #2594C22semidirect
98. #2592C22semidirect
99. #2591C22semidirect
100. #2578C22semidirect
101. #2576C22semidirect
102. #2574C22semidirect
103. #2573C22semidirect
104. #2568C22semidirect
105. #2560C22semidirect
106. #2559C22semidirect
107. #2559C22semidirect
108. #2559C22semidirect
109. #2558C22semidirect
110. #2554C22semidirect
111. #2553C22semidirect
112. #2552C22semidirect
115. #2544C22semidirect
116. #2544C22semidirect
117. #2544C22semidirect
118. #2543C22semidirect
119. #2542C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2534C22semidirect
125. #2525C22semidirect
126. #2518C22semidirect
127. #2516C22semidirect
128. #2515C22semidirect
129. #2514C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2511C22semidirect
134. #2500C22semidirect
135. #2499C22semidirect
136. #2493C22semidirect
137. #2488C22semidirect
138. #2481C22semidirect
139. #2477C22semidirect
140. #2476C22semidirect
141. #2476C22semidirect
142. #2475C22semidirect
143. #2472C22semidirect
144. #2472C22semidirect
145. #2472C22semidirect
146. #2471C22semidirect
147. #2471C22semidirect
148. #2467C22semidirect
149. #2463C22semidirect
150. #2461C22semidirect
151. #2460C22semidirect
152. #2458C22semidirect
153. #2456C22semidirect
154. #2456C22semidirect
155. #2454C22semidirect
156. #2450C22semidirect
157. #2449C22semidirect
158. #2448C22semidirect
159. #2447C22semidirect
160. #2446C22semidirect
163. #2445C22semidirect
164. #2443C22semidirect
166. #2433C22semidirect
168. #2432C22semidirect
170. #2430C22semidirect
173. #2424C22semidirect
174. #2424C22semidirect
175. #2424C22semidirect
176. #2417C22semidirect
177. #2414C22semidirect
178. #2407C22semidirect
179. #2404C22semidirect
180. #2402C22semidirect
181. #2396C22semidirect
182. #2396C22semidirect
183. #2395C22semidirect
184. #2395C22semidirect
185. #2392C22semidirect
186. #2369C22semidirect
187. #2368C22semidirect
188. #2367C22semidirect
189. #2367C22semidirect
190. #2367C22semidirect
191. #2367C22semidirect
192. #2367C22semidirect
193. #2367C22semidirect
198. #2366C22semidirect
199. #2364C22semidirect
201. #2363C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
206. #2361C22semidirect
207. #2361C22semidirect
208. #2361C22semidirect
209. #2360C22semidirect
210. #2359C22semidirect
212. #2357C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
215. #2354C22semidirect
216. #2354C22semidirect
217. #2354C22semidirect
219. D4×C4⋊C4C22semidirect
220. #2347C22semidirect
221. #2347C22semidirect
222. #2342C22semidirect
224. #2339C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2337C22semidirect
227. #2333C22semidirect
228. #2328C22semidirect
229. #2326C22semidirect
232. #2324C22semidirect
233. #2322C22semidirect
234. #2321C22semidirect
235. #2321C22semidirect
236. #2309C22semidirect
237. C4×C4⋊Q8C22semidirect
238. C4×C4⋊Q8C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
243. C4×#121C22semidirect
245. C4×#120C22semidirect
246. C4×#120C22semidirect
248. #2297C22semidirect
249. #2297C22semidirect
250. #2296C22semidirect
251. #2296C22semidirect
252. #2295C22semidirect
255. C2×#385C22semidirect
256. #2275C22semidirect
257. #2274C22semidirect
258. C42×D4C22semidirect
783. #127#41semidirect
855. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#599042
#598232
#590742
#522672
#521632
#453672
#449702
#448762
#438222
#438162
#433772
#404132
#398172
#397652
#393552
#387612
#387602
#385092
#380902
#364192
#361012
#358602
#358382
#357872
#343302
#343212
#342882
#342652