Finite Group Databasebeta

← #7690112

Subgroups — #7690112

Order 512.

5292 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59950C214yesmaximal, complemented
2#59935C212yesmaximal, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59303C212yesmaximal, complemented
5#59235C211yesmaximal, characteristic, complemented
6#59225C212yesmaximal, complemented
7#59217C211yesmaximal, characteristic, complemented
8#59203C212yesmaximal, complemented
9#45228C212yesmaximal, complemented
10#45009C212yesmaximal, complemented
11#43688C214yesmaximal, complemented
12#43056C214yesmaximal, complemented
13#39505C211yesmaximal, characteristic, complemented
14#39504C212yesmaximal, complemented
15#38943C211yesmaximal, characteristic, complemented
16#38938C212yesmaximal, complemented
17#38289C212yesmaximal, complemented
18#38281C214yesmaximal, complemented
19#36315C211yesmaximal, characteristic, complemented
20#36259C211yesmaximal, characteristic, complemented
21#36257C212yesmaximal, complemented
22#36238C212yesmaximal, complemented
23#36203C212yesmaximal, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36180C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36042C212yesmaximal, complemented
28#35821C212yesmaximal, complemented
29#34800C211yesmaximal, characteristic, complemented
30C2×#2497C212yesmaximal, complemented
31#34308C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#546C2211yescharacteristic
40C2×#546C2212yes—
41C2×#520C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2861C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yescomplemented
48#2857C2211yescharacteristic, complemented
49#2854C2212yescomplemented
50#2850C2214yes—
51#2847C2212yes—
52#2809C2214yescomplemented
53#2808C2214yescomplemented
54#2795C2214yescomplemented
55#2795C2214yescomplemented
56#2795C2214yescomplemented
57#2784C2214yes—
58#2783C2214yescomplemented
59#2783C2214yescomplemented
60#2783C2214yescomplemented
61#2781C2214yescomplemented
62#2781C2214yescomplemented
63#2775C2214yescomplemented
64#2769C2214yescomplemented
65#2769C2214yescomplemented
66#2756C2214yes—
67#2744C2214yes—
68#2744C2214yescomplemented
69#2744C2214yescomplemented
70#2737C2214yescomplemented
71#2731C2214yescomplemented
72#2686C2214yescomplemented
73#2642C2212yescomplemented
74#2639C2214yescomplemented
75#2620C2212yes—
76#2618C2214yes—
77#2612C2214yescomplemented
78#2609C2214yes—
79#2593C2214yescomplemented
80#2592C2212yes—
81#2591C2214yes—
82#2591C2214yescomplemented
83#2574C2214yes—
84#2574C2214yescomplemented
85#2572C2214yescomplemented
86#2571C2212yescomplemented
87#2571C2212yescomplemented
88#2568C2212yescomplemented
89#2567C2212yescomplemented
90#2563C2212yes—
91#2562C2212yes—
92#2562C2212yescomplemented
93#2561C2214yes—
94#2552C2211yescharacteristic, complemented
95#2552C2211yescharacteristic, complemented
96#2552C2212yescomplemented
97#2547C2211yescharacteristic
98#2546C2211yescharacteristic, complemented
99#2545C2212yes—
100#2538C2212yes—
101#2538C2211yescharacteristic, complemented
102#2537C2211yescharacteristic
103#2537C2212yescomplemented
104#2534C2214yes—
105#2532C2214yescomplemented
106#2532C2212yescomplemented
107#2531C2214yes—
108#2531C2214yescomplemented
109#2529C2214yescomplemented
110#2529C2214yescomplemented
111#2529C2214yescomplemented
112#2526C2212yes—
113#2526C2214yescomplemented
114#2518C2214yes—
115#2518C2212yescomplemented
116#2513C2211yescharacteristic, complemented
117#2508C2212yescomplemented
118#2508C2212yescomplemented
119#2508C2211yescharacteristic, complemented
120#2503C2214yescomplemented
121#2502C2214yescomplemented
122#2500C2214yescomplemented
123#2500C2212yescomplemented
124#2500C2211yescharacteristic, complemented
125#2497C2212yes—
126#2497C2214yes—
127#2497C2214yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2211yescharacteristic
131#2497C2214yescomplemented
132#2497C2212yescomplemented
133#2497C2212yescomplemented
134#2497C2212yescomplemented
135#2497C2212yescomplemented
136#2497C2214yescomplemented
137#2497C2212yescomplemented
138#2497C2214yescomplemented
139#2495C2212yes—
140#2495C2212yescomplemented
141#2492C2212yes—
142#2492C2212yescomplemented
143#2492C2212yescomplemented
144#2491C2212yes—
145#2491C2211yescharacteristic
146#2491C2212yescomplemented
147#2490C2212yes—
148#2489C2212yes—
149#2489C2212yescomplemented
150#2489C2212yescomplemented
151#2488C2214yes—
152#2488C2214yes—
153#2488C2214yescomplemented
154#2488C2214yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2486C2212yes—
158#2486C2212yescomplemented
159#2485C2211yescharacteristic
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2476C2214yescomplemented
163#2474C2214yescomplemented
164#2472C2214yes—
165#2472C2214yes—
166#2459C2212yes—
167#2440C2212yescomplemented
168#2440C2214yescomplemented
169#2440C2212yescomplemented
170#2439C2212yes—
171#2439C2212yescomplemented
172#2439C2212yescomplemented
173#2439C2211yescharacteristic, complemented
174#2439C2212yescomplemented
175#2429C2212yes—
176#2429C2212yescomplemented
177#2427C2212yes—
178#2426C2212yes—
179#2425C2214yes—
180#2425C2214yes—
181#2425C2214yescomplemented
182#2424C2214yes—
183#2420C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2416C2212yes—
187#2416C2212yes—
188#2416C2214yes—
189#2416C2212yescomplemented
190#2415C2212yescomplemented
191#2414C2211yescharacteristic
192#2413C2214yes—
193#2413C2214yescomplemented
194#2412C2214yes—
195#2411C2214yes—
196#2398C2212yescomplemented
197C2×#400C2214yescomplemented
198#2392C2212yes—
199C2×#396C2214yes—
200#2372C2214yes—
201#2369C2212yescomplemented
202#2367C2211yescharacteristic
203#2365C2211yescharacteristic, complemented
204#2364C2212yes—
205#2363C2211yescharacteristic
206#2363C2212yescomplemented
207#2361C2212yescomplemented
208#2360C2211yescharacteristic
209#2360C2212yescomplemented
210#2359C2212yes—
211#2359C2214yescomplemented
212#2358C2212yes—
213#2356C2212yescomplemented
214#2355C2211yescharacteristic, complemented
215#2355C2211yescharacteristic, complemented
216#2355C2212yescomplemented
217#2354C2211yescharacteristic
218#2354C2212yes—
219#2354C2211yescharacteristic
220#2354C2212yescomplemented
221#2354C2212yescomplemented
222#2353C2214yescomplemented
223#2352C2212yes—
224#2352C2212yes—
225#2352C2211yescharacteristic
226#2352C2212yescomplemented
227#2352C2214yescomplemented
228#2352C2212yescomplemented
229#2349C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic, complemented
235#2347C2212yescomplemented
236#2346C2212yescomplemented
237#2346C2212yescomplemented
238#2345C2212yes—
239#2345C2212yescomplemented
240#2344C2212yescomplemented
241#2344C2212yescomplemented
242#2343C2214yescomplemented
243#2343C2214yescomplemented
244#2343C2214yescomplemented
245#2342C2214yes—
246#2342C2212yes—
247#2339C2212yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2211yescharacteristic
251#2339C2212yes—
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254#2323C2212yescomplemented
255#2322C2214yescomplemented
256#2320C2212yescomplemented
257#2319C2212yes—
258#2318C2214yes—
259#2318C2214yescomplemented
260#2314C2212yescomplemented
261#2313C2214yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#124C2212yes—
265C4×#124C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×#123C2212yes—
268C4×#121C2211yescharacteristic
269C4×#121C2212yes—
270C4×#121C2211yescharacteristic
271C4×#121C2212yescomplemented
272C4×#121C2211yescharacteristic, complemented
273C4×#120C2212yes—
274#2298C2212yescomplemented
275#2295C2212yescomplemented
276#2295C2212yescomplemented
277#2293C2211yescharacteristic, complemented
278C2×#389C2212yescomplemented
279C2×#389C2212yescomplemented
280#2290C2214yescomplemented
281#2290C2214yescomplemented
282C2×#388C2214yes—
283C2×#387C2214yescomplemented
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic, complemented
286C2×#384C2212yescomplemented
287#2283C2211yescharacteristic
288#2283C2212yescomplemented
289#2280C2212yes—
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#554—48no—
304#547—28no—
305#547—48no—
306#546—28no—
307#546—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2314yes—
343C2×#120C2312yes—
344C2×#120C2314yes—
345#520—216no—
346C4×#41—28no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×D4—28no—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#392C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2314yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#381C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#379C2312yes—
741#379C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—24no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C4⋊Q8—24no—
868C4⋊Q8—42no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—82no—
873#125—44no—
874#125—44no—
875#124—28no—
876#124—24no—
877#124—44no—
878#124—84no—
879#123—28no—
880#123—216no—
881#123—48no—
882#123—48no—
883#123—48no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—28no—
893#121—28no—
894#121—24no—
895#121—42no—
896#121—44no—
897#121—42no—
898#121—44no—
899#121—48no—
900#121—48no—
901#121—84no—
902#120—28no—
903#120—48no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—28no—
908C4×Q8—44no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4#4118yes—
932C4×D4#4118yes—
933#117—24no—
934#117—28no—
935#117—216no—
936#117—28no—
937#117—42no—
938#117—42no—
939#117—44no—
940#117—44no—
941#117—82no—
942#117—84no—
943#117—82no—
944C2×C4⋊C4—216no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—48no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4—84no—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—84no—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C42—28no—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42—84no—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2414yes—
1167#95C2414yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—24no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201C24C2512yes—
1202#41—416no—
1203#41—432no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—416no—
1247C2×D4C2×#4114yes—
1248C2×D4C2×#4114yes—
1249C2×D4H(5,𝔽2)14yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—816no—
1312C22×C4C2×#4118yes—
1313C22×C4C2×#4118yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4114yes—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4C2×#4118yes—
1464C22⋊C4C2×#4118yes—
1465C22⋊C42−1+414yes—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—28no—
1476C42—24no—
1477C42—28no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—42no—
1496C42—44no—
1497C42—41no—
1498C42C2×#4114yes—
1499C42C2×#4114yes—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—48no—
1532C23—48no—
1533C23—48no—
1534C23—48no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23C22×#4114yes—
1539C23C22×#4114yes—
1540C23C2×H(5,𝔽2)14yes—
1541C23C2×2−1+412yes—
1542C23C2611yescharacteristic
1543Q8—44no—
1544Q8—48no—
1545Q8—84no—
1546Q8—164no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—416no—
1551D4—44no—
1552D4—44no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—164no—
1557D4#555116yes—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—216no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—416no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—88no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4114yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—42no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—42no—
1703C22—816no—
1704C22C2×#55518yes—
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×2−1+411yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C4—22no—
1713C4—24no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—24no—
1718C4—22no—
1719C4—44no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—44no—
1733C4—44no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—44no—
1740C4C2×#55514yes—
1741C4#352114yes—
1742C2—28no—
1743C2—42no—
1744C2—82no—
1745C2—81no—
1746C2—82no—
1747C2C22×#55511yescharacteristic
1748C2C2×#352111yescharacteristic
1749C2#6280511yescharacteristic
1750C2#6292011yescharacteristic
1751C2#6299211yescharacteristic
1752C2#6300011yescharacteristic
1753C2#6301311yescharacteristic
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. #59950C2semidirect
2. #59935C2semidirect
3. #59427C2semidirect
4. #59303C2semidirect
5. #59235C2semidirect
6. #59225C2semidirect
7. #59217C2semidirect
8. #59203C2semidirect
9. #45228C2semidirect
10. #45009C2semidirect
11. #43688C2semidirect
12. #43056C2semidirect
13. #39505C2semidirect
14. #39504C2semidirect
15. #38943C2semidirect
16. #38938C2semidirect
17. #38289C2semidirect
18. #38281C2semidirect
19. #36315C2semidirect
20. #36259C2semidirect
21. #36257C2semidirect
22. #36238C2semidirect
23. #36203C2semidirect
24. #36194C2semidirect
25. #36180C2semidirect
26. #36153C2semidirect
27. #36042C2semidirect
28. #35821C2semidirect
29. #34800C2semidirect
30. C2×#2497C2semidirect
31. #34308C2semidirect
32. #34260C2semidirect
33. #34194C2semidirect
34. C4×#546C2semidirect
35. #34127C2semidirect
44. #2868C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
49. #2854C22semidirect
52. #2809C22semidirect
53. #2808C22semidirect
54. #2795C22semidirect
55. #2795C22semidirect
56. #2795C22semidirect
58. #2783C22semidirect
59. #2783C22semidirect
60. #2783C22semidirect
61. #2781C22semidirect
62. #2781C22semidirect
63. #2775C22semidirect
64. #2769C22semidirect
65. #2769C22semidirect
68. #2744C22semidirect
69. #2744C22semidirect
70. #2737C22semidirect
71. #2731C22semidirect
72. #2686C22semidirect
73. #2642C22semidirect
74. #2639C22semidirect
77. #2612C22semidirect
79. #2593C22semidirect
82. #2591C22semidirect
84. #2574C22semidirect
85. #2572C22semidirect
86. #2571C22semidirect
87. #2571C22semidirect
88. #2568C22semidirect
89. #2567C22semidirect
92. #2562C22semidirect
94. #2552C22semidirect
95. #2552C22semidirect
96. #2552C22semidirect
98. #2546C22semidirect
101. #2538C22semidirect
103. #2537C22semidirect
105. #2532C22semidirect
106. #2532C22semidirect
108. #2531C22semidirect
109. #2529C22semidirect
110. #2529C22semidirect
111. #2529C22semidirect
113. #2526C22semidirect
115. #2518C22semidirect
116. #2513C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2508C22semidirect
120. #2503C22semidirect
121. #2502C22semidirect
122. #2500C22semidirect
123. #2500C22semidirect
124. #2500C22semidirect
131. #2497C22semidirect
132. #2497C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2497C22semidirect
138. #2497C22semidirect
140. #2495C22semidirect
142. #2492C22semidirect
143. #2492C22semidirect
146. #2491C22semidirect
149. #2489C22semidirect
150. #2489C22semidirect
153. #2488C22semidirect
154. #2488C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
158. #2486C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2476C22semidirect
163. #2474C22semidirect
167. #2440C22semidirect
168. #2440C22semidirect
169. #2440C22semidirect
171. #2439C22semidirect
172. #2439C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
176. #2429C22semidirect
181. #2425C22semidirect
189. #2416C22semidirect
190. #2415C22semidirect
193. #2413C22semidirect
196. #2398C22semidirect
197. C2×#400C22semidirect
201. #2369C22semidirect
203. #2365C22semidirect
206. #2363C22semidirect
207. #2361C22semidirect
209. #2360C22semidirect
211. #2359C22semidirect
213. #2356C22semidirect
214. #2355C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
220. #2354C22semidirect
221. #2354C22semidirect
222. #2353C22semidirect
226. #2352C22semidirect
227. #2352C22semidirect
228. #2352C22semidirect
234. D4×C4⋊C4C22semidirect
235. #2347C22semidirect
236. #2346C22semidirect
237. #2346C22semidirect
239. #2345C22semidirect
240. #2344C22semidirect
241. #2344C22semidirect
242. #2343C22semidirect
243. #2343C22semidirect
244. #2343C22semidirect
254. #2323C22semidirect
255. #2322C22semidirect
256. #2320C22semidirect
259. #2318C22semidirect
260. #2314C22semidirect
261. #2313C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
274. #2298C22semidirect
275. #2295C22semidirect
276. #2295C22semidirect
277. #2293C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
280. #2290C22semidirect
281. #2290C22semidirect
283. C2×#387C22semidirect
285. #2285C22semidirect
286. C2×#384C22semidirect
288. #2283C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#599502
#599352
#594272
#593032
#592352
#592252
#592172
#592032
#452282
#450092
#436882
#430562
#395052
#395042
#389432
#389382
#382892
#382812
#363152
#362592
#362572
#362382
#362032
#361942
#361802
#361532
#360422
#358212
#348002
C2×#24972
#343082
#342602
#341942
C4×#5462
#341272