Finite Group Databasebeta

← #7657590

Subgroups — #7657590

Order 512.

5363 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42759C212yesmaximal, complemented
2#42751C212yesmaximal, complemented
3#42581C212yesmaximal, complemented
4#42575C212yesmaximal, complemented
5#41872C214yesmaximal, complemented
6#41861C214yesmaximal, complemented
7#41292C214yesmaximal, complemented
8#41288C214yesmaximal, complemented
9#39426C212yesmaximal, complemented
10#39416C212yesmaximal, complemented
11#39370C211yesmaximal, characteristic, complemented
12#39361C211yesmaximal, characteristic, complemented
13#38910C211yesmaximal, characteristic, complemented
14#38909C211yesmaximal, characteristic, complemented
15#38252C212yesmaximal, complemented
16#38250C212yesmaximal, complemented
17#37629C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37501C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36595C211yesmaximal, characteristic, complemented
22#36590C211yesmaximal, characteristic, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36051C212yesmaximal, complemented
26#36004C212yesmaximal, complemented
27#35890C212yesmaximal, complemented
28#35808C212yesmaximal, complemented
29#35278C211yesmaximal, characteristic, complemented
30#35264C212yesmaximal, complemented
31#34621C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#544C2212yescomplemented
41C2×#540C2212yescomplemented
42C2×#535C2212yes—
43C2×#529C2211yescharacteristic
44C2×#518C2212yes—
45#2867C2211yescharacteristic
46#2861C2212yes—
47#2861C2212yescomplemented
48#2859C2211yescharacteristic, complemented
49#2858C2212yes—
50#2858C2212yescomplemented
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic, complemented
53#2830C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2825C2214yescomplemented
58#2824C2214yescomplemented
59#2797C2214yescomplemented
60#2778C2214yescomplemented
61#2778C2214yescomplemented
62#2746C2214yescomplemented
63#2743C2214yescomplemented
64#2730C2214yescomplemented
65#2729C2214yescomplemented
66#2711C2214yescomplemented
67#2704C2214yescomplemented
68#2701C2214yescomplemented
69#2699C2214yescomplemented
70#2697C2214yescomplemented
71#2697C2214yescomplemented
72#2696C2214yescomplemented
73#2691C2214yescomplemented
74#2685C2214yes—
75#2684C2214yescomplemented
76#2678C2214yes—
77#2678C2214yescomplemented
78#2676C2214yescomplemented
79#2674C2214yescomplemented
80#2671C2214yescomplemented
81#2669C2214yes—
82#2669C2214yes—
83#2661C2214yescomplemented
84#2654C2212yescomplemented
85#2653C2212yescomplemented
86#2653C2214yescomplemented
87#2651C2214yescomplemented
88#2651C2214yescomplemented
89#2650C2212yescomplemented
90#2649C2212yescomplemented
91#2648C2214yescomplemented
92#2648C2214yescomplemented
93#2648C2214yescomplemented
94#2648C2214yescomplemented
95#2647C2211yescharacteristic, complemented
96#2645C2211yescharacteristic, complemented
97#2644C2211yescharacteristic
98#2644C2212yescomplemented
99#2644C2212yescomplemented
100#2644C2212yescomplemented
101#2641C2212yes—
102#2641C2212yescomplemented
103#2640C2211yescharacteristic
104#2640C2212yescomplemented
105#2640C2212yescomplemented
106#2638C2214yescomplemented
107#2631C2214yescomplemented
108#2630C2214yescomplemented
109#2630C2214yescomplemented
110#2629C2212yescomplemented
111#2628C2211yescharacteristic, complemented
112#2625C2211yescharacteristic, complemented
113#2624C2211yescharacteristic
114#2624C2212yes—
115#2624C2212yescomplemented
116#2624C2212yescomplemented
117#2622C2214yescomplemented
118#2620C2211yescharacteristic
119#2620C2212yescomplemented
120#2619C2212yes—
121#2619C2212yescomplemented
122#2617C2214yescomplemented
123#2610C2214yescomplemented
124#2598C2214yescomplemented
125#2594C2214yescomplemented
126#2582C2211yescharacteristic, complemented
127#2578C2214yescomplemented
128#2558C2214yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2555C2214yescomplemented
132#2552C2211yescharacteristic, complemented
133#2551C2211yescharacteristic, complemented
134#2548C2211yescharacteristic
135#2548C2211yescharacteristic
136#2548C2212yescomplemented
137#2548C2212yescomplemented
138#2548C2211yescharacteristic, complemented
139#2546C2212yescomplemented
140#2544C2212yes—
141#2544C2214yescomplemented
142#2543C2214yescomplemented
143#2541C2211yescharacteristic
144#2540C2212yes—
145#2540C2214yescomplemented
146#2538C2212yes—
147#2538C2211yescharacteristic
148#2534C2214yescomplemented
149#2531C2214yescomplemented
150#2525C2214yescomplemented
151#2514C2212yescomplemented
152#2513C2212yes—
153#2513C2212yescomplemented
154#2510C2214yescomplemented
155#2506C2212yescomplemented
156#2500C2212yescomplemented
157#2498C2214yescomplemented
158#2494C2212yescomplemented
159#2491C2214yescomplemented
160#2491C2212yescomplemented
161#2491C2214yescomplemented
162#2491C2212yescomplemented
163#2491C2214yescomplemented
164#2490C2212yes—
165#2490C2212yescomplemented
166#2490C2214yescomplemented
167#2490C2214yescomplemented
168#2476C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2471C2214yescomplemented
175#2461C2214yescomplemented
176#2457C2214yescomplemented
177#2454C2212yescomplemented
178#2454C2212yescomplemented
179#2452C2212yes—
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2445C2212yes—
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2445C2214yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2442C2212yescomplemented
193#2439C2212yescomplemented
194#2435C2212yes—
195#2433C2212yes—
196#2433C2212yes—
197#2433C2212yes—
198#2431C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2425C2214yescomplemented
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2422C2212yescomplemented
214#2421C2212yescomplemented
215#2418C2214yescomplemented
216#2416C2212yescomplemented
217#2414C2212yes—
218#2414C2212yescomplemented
219#2411C2214yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2407C2212yescomplemented
223#2401C2212yescomplemented
224#2398C2212yescomplemented
225#2396C2212yescomplemented
226#2395C2212yescomplemented
227#2395C2214yescomplemented
228#2395C2214yescomplemented
229#2392C2214yescomplemented
230#2392C2214yescomplemented
231#2374C2212yescomplemented
232#2374C2212yescomplemented
233#2373C2212yescomplemented
234#2373C2212yescomplemented
235#2370C2211yescharacteristic, complemented
236#2370C2211yescharacteristic, complemented
237#2367C2211yescharacteristic
238#2367C2211yescharacteristic
239#2366C2211yescharacteristic
240#2366C2212yes—
241#2366C2211yescharacteristic, complemented
242#2366C2212yescomplemented
243#2364C2214yescomplemented
244#2363C2212yes—
245#2363C2211yescharacteristic
246#2363C2211yescharacteristic
247#2363C2212yescomplemented
248#2363C2212yescomplemented
249#2363C2212yescomplemented
250#2362C2211yescharacteristic, complemented
251#2362C2211yescharacteristic, complemented
252#2362C2212yescomplemented
253#2361C2212yes—
254#2358C2214yes—
255#2357C2212yescomplemented
256#2355C2211yescharacteristic, complemented
257#2354C2211yescharacteristic
258#2354C2211yescharacteristic
259#2354C2212yescomplemented
260D4×C4⋊C4C2211yescharacteristic
261#2347C2212yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yes—
265#2333C2214yescomplemented
266#2328C2212yes—
267#2328C2212yescomplemented
268#2324C2212yes—
269#2321C2214yes—
270#2311C2212yescomplemented
271#2309C2212yes—
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic, complemented
275C4×#127C2212yescomplemented
276C4×#125C2212yescomplemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yescomplemented
282#2298C2212yescomplemented
283#2297C2212yescomplemented
284#2295C2211yescharacteristic, complemented
285#2295C2211yescharacteristic, complemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2275C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#559—48no—
303#555—48no—
304#550—28no—
305D42—28no—
306#544—48no—
307#540—48no—
308#535—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323#529—28no—
324C2×#126C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377#518—48no—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2314yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423#401C2314yes—
424#401C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#395C2314yes—
484#395C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#393C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—48no—
872#127—28no—
873#127—24no—
874#127—24no—
875#127—28no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—82no—
881#127—82no—
882#126—28no—
883#125—24no—
884#125—28no—
885#125—44no—
886#125—48no—
887#124—24no—
888#124—24no—
889#124—48no—
890#124—48no—
891#124—48no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—84no—
896#124—84no—
897#123—28no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—84no—
903C22⋊Q8—24no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—84no—
909#121—24no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—216no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—82no—
927#121—84no—
928#121—82no—
929#120—216no—
930#120—48no—
931#120—48no—
932#120—84no—
933#120—84no—
934#120—84no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—44no—
939C4×Q8—42no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—48no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—84no—
959C4×D4—82no—
960C4×D4—82no—
961C4×D4—84no—
962C4×D4#4118yes—
963#117—28no—
964#117—28no—
965#117—24no—
966#117—28no—
967#117—24no—
968#117—42no—
969#117—44no—
970#117—48no—
971#117—42no—
972#117—44no—
973#117—84no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C22⋊C4—48no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—84no—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24—28no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24—44no—
1209C24—44no—
1210C24C2512yes—
1211C24C2514yes—
1212C24C2511yescharacteristic
1213C24C2514yes—
1214C24C2512yes—
1215#41—816no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—432no—
1294C2×D4—816no—
1295C2×D4C2×#4114yes—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4C2×#4118yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—44no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4C2×#4118yes—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—28no—
1500C42—22no—
1501C42—24no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—44no—
1516C42—42no—
1517C42—44no—
1518C42—42no—
1519C42—41no—
1520C42—41no—
1521C42—42no—
1522C42—42no—
1523C42—42no—
1524C42—41no—
1525C42—41no—
1526C42C2×#4114yes—
1527C42H(5,𝔽2)14yes—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—24no—
1551C23—24no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—24no—
1556C23—22no—
1557C23—24no—
1558C23—24no—
1559C23—24no—
1560C23—21no—
1561C23—21no—
1562C23—416no—
1563C23—88no—
1564C23—88no—
1565C23—164no—
1566C23—164no—
1567C23—164no—
1568C23—164no—
1569C23C22×#4114yes—
1570C23C2611yescharacteristic
1571Q8—44no—
1572Q8—44no—
1573Q8—84no—
1574Q8—164no—
1575D4—28no—
1576D4—416no—
1577D4—48no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—84no—
1583D4—84no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—84no—
1588D4—88no—
1589D4—88no—
1590D4—84no—
1591D4—164no—
1592D4—164no—
1593D4—164no—
1594D4—164no—
1595D4—164no—
1596D4—164no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—216no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—88no—
1685C2×C4—84no—
1686C2×C4—164no—
1687C2×C4—164no—
1688C2×C4—164no—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4114yes—
1691C2×C4C22×#4112yes—
1692C2×C4C22×#4112yes—
1693C2×C4C2×H(5,𝔽2)14yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4#58512yes—
1699C2×C4#58512yes—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—41no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—44no—
1716C22—44no—
1717C22—41no—
1718C22—42no—
1719C22—44no—
1720C22—44no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—44no—
1726C22—44no—
1727C22—44no—
1728C22—44no—
1729C22—41no—
1730C22—42no—
1731C22—44no—
1732C22—44no—
1733C22—41no—
1734C22—42no—
1735C22—1616no—
1736C22C23×#4111yescharacteristic
1737C22C22×H(5,𝔽2)11yescharacteristic
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C2×#58511yescharacteristic
1740C22C2×#58511yescharacteristic
1741C22H(7,𝔽2)11yescharacteristic
1742C22H(7,𝔽2)11yescharacteristic
1743C4—24no—
1744C4—22no—
1745C4—22no—
1746C4—24no—
1747C4—22no—
1748C4—41no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—44no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—41no—
1766C4—44no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—41no—
1771C4#346014yes—
1772C4#351414yes—
1773C2—44no—
1774C2—81no—
1775C2—84no—
1776C2—84no—
1777C2—82no—
1778C2C2×#346011yescharacteristic
1779C2C2×#351411yescharacteristic
1780C2#6285811yescharacteristic
1781C2#6291611yescharacteristic
1782C2#6292011yescharacteristic
1783C2#6296111yescharacteristic
1784C2#6296611yescharacteristic
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. #42759C2semidirect
2. #42751C2semidirect
3. #42581C2semidirect
4. #42575C2semidirect
5. #41872C2semidirect
6. #41861C2semidirect
7. #41292C2semidirect
8. #41288C2semidirect
9. #39426C2semidirect
10. #39416C2semidirect
11. #39370C2semidirect
12. #39361C2semidirect
13. #38910C2semidirect
14. #38909C2semidirect
15. #38252C2semidirect
16. #38250C2semidirect
17. #37629C2semidirect
18. #37625C2semidirect
19. #37501C2semidirect
20. #37493C2semidirect
21. #36595C2semidirect
22. #36590C2semidirect
23. #36302C2semidirect
24. #36273C2semidirect
25. #36051C2semidirect
26. #36004C2semidirect
27. #35890C2semidirect
28. #35808C2semidirect
29. #35278C2semidirect
30. #35264C2semidirect
31. #34621C2semidirect
32. #34619C2semidirect
33. #34330C2semidirect
34. #34310C2semidirect
35. #34151C2semidirect
36. C2×#559C22semidirect
37. C2×#555C22semidirect
40. C2×#544C22semidirect
41. C2×#540C22semidirect
47. #2861C22semidirect
48. #2859C22semidirect
50. #2858C22semidirect
52. #2856C22semidirect
53. #2830C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2825C22semidirect
58. #2824C22semidirect
59. #2797C22semidirect
60. #2778C22semidirect
61. #2778C22semidirect
62. #2746C22semidirect
63. #2743C22semidirect
64. #2730C22semidirect
65. #2729C22semidirect
66. #2711C22semidirect
67. #2704C22semidirect
68. #2701C22semidirect
69. #2699C22semidirect
70. #2697C22semidirect
71. #2697C22semidirect
72. #2696C22semidirect
73. #2691C22semidirect
75. #2684C22semidirect
77. #2678C22semidirect
78. #2676C22semidirect
79. #2674C22semidirect
80. #2671C22semidirect
83. #2661C22semidirect
84. #2654C22semidirect
85. #2653C22semidirect
86. #2653C22semidirect
87. #2651C22semidirect
88. #2651C22semidirect
89. #2650C22semidirect
90. #2649C22semidirect
91. #2648C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2648C22semidirect
95. #2647C22semidirect
96. #2645C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
102. #2641C22semidirect
104. #2640C22semidirect
105. #2640C22semidirect
106. #2638C22semidirect
107. #2631C22semidirect
108. #2630C22semidirect
109. #2630C22semidirect
110. #2629C22semidirect
111. #2628C22semidirect
112. #2625C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2622C22semidirect
119. #2620C22semidirect
121. #2619C22semidirect
122. #2617C22semidirect
123. #2610C22semidirect
124. #2598C22semidirect
125. #2594C22semidirect
126. #2582C22semidirect
127. #2578C22semidirect
128. #2558C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2555C22semidirect
132. #2552C22semidirect
133. #2551C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2546C22semidirect
141. #2544C22semidirect
142. #2543C22semidirect
145. #2540C22semidirect
148. #2534C22semidirect
149. #2531C22semidirect
150. #2525C22semidirect
151. #2514C22semidirect
153. #2513C22semidirect
154. #2510C22semidirect
155. #2506C22semidirect
156. #2500C22semidirect
157. #2498C22semidirect
158. #2494C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2476C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2461C22semidirect
176. #2457C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2442C22semidirect
193. #2439C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2425C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2422C22semidirect
214. #2421C22semidirect
215. #2418C22semidirect
216. #2416C22semidirect
218. #2414C22semidirect
219. #2411C22semidirect
222. #2407C22semidirect
223. #2401C22semidirect
224. #2398C22semidirect
225. #2396C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2395C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2374C22semidirect
232. #2374C22semidirect
233. #2373C22semidirect
234. #2373C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
241. #2366C22semidirect
242. #2366C22semidirect
243. #2364C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2362C22semidirect
251. #2362C22semidirect
252. #2362C22semidirect
255. #2357C22semidirect
256. #2355C22semidirect
259. #2354C22semidirect
261. #2347C22semidirect
262. #2339C22semidirect
265. #2333C22semidirect
267. #2328C22semidirect
270. #2311C22semidirect
272. C4×C4⋊Q8C22semidirect
274. C4×#127C22semidirect
275. C4×#127C22semidirect
276. C4×#125C22semidirect
278. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. #2298C22semidirect
283. #2297C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
292. #2290C22semidirect
293. #2275C22semidirect
294. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427592
#427512
#425812
#425752
#418722
#418612
#412922
#412882
#394262
#394162
#393702
#393612
#389102
#389092
#382522
#382502
#376292
#376252
#375012
#374932
#365952
#365902
#363022
#362732
#360512
#360042
#358902
#358082
#352782
#352642
#346212
#346192
#343302
#343102
#341512