Finite Group Databasebeta

← #7712412

Subgroups — #7712412

Order 512.

4910 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59720C212yesmaximal, complemented
2#59509C212yesmaximal, complemented
3#59224C212yesmaximal, complemented
4#59209C212yesmaximal, complemented
5#46253C214yesmaximal, complemented
6#45589C214yesmaximal, complemented
7#39203C211yesmaximal, characteristic, complemented
8#39194C211yesmaximal, characteristic, complemented
9#38967C211yesmaximal, characteristic, complemented
10#38955C211yesmaximal, characteristic, complemented
11#38743C214yesmaximal, complemented
12#38547C214yesmaximal, complemented
13#38276C212yesmaximal, complemented
14#38266C212yesmaximal, complemented
15#38215C212yesmaximal, complemented
16#38201C212yesmaximal, complemented
17#38112C212yesmaximal, complemented
18#38101C212yesmaximal, complemented
19#37636C211yesmaximal, characteristic, complemented
20#37628C211yesmaximal, characteristic, complemented
21#37410C212yesmaximal, complemented
22#37402C212yesmaximal, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36176C211yesmaximal, characteristic, complemented
26#36167C212yesmaximal, complemented
27#36154C211yesmaximal, characteristic, complemented
28#36148C212yesmaximal, complemented
29#36133C211yesmaximal, characteristic, complemented
30#36100C211yesmaximal, characteristic
31#35325C212yesmaximal, complemented
32#35263C212yesmaximal, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34480C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#533C2212yes—
39C2×#525C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2866C2212yescomplemented
43#2865C2212yescomplemented
44#2864C2212yescomplemented
45#2864C2211yescharacteristic, complemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2863C2211yescharacteristic, complemented
49#2862C2211yescharacteristic, complemented
50#2861C2211yescharacteristic, complemented
51#2860C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2855C2212yes—
56#2855C2212yes—
57#2855C2211yescharacteristic
58#2855C2212yes—
59#2854C2211yescharacteristic
60#2854C2212yes—
61#2853C2212yes—
62#2852C2212yes—
63#2851C2212yes—
64#2851C2211yescharacteristic
65#2850C2211yescharacteristic
66#2848C2212yes—
67#2848C2212yes—
68#2836C2214yescomplemented
69#2832C2214yescomplemented
70#2805C2214yescomplemented
71#2802C2214yescomplemented
72#2801C2214yescomplemented
73#2800C2214yescomplemented
74#2798C2214yescomplemented
75#2798C2214yescomplemented
76#2797C2214yes—
77#2788C2214yescomplemented
78#2786C2214yes—
79#2786C2214yescomplemented
80#2781C2214yescomplemented
81#2779C2214yescomplemented
82#2776C2214yescomplemented
83#2773C2214yescomplemented
84#2772C2214yescomplemented
85#2770C2214yescomplemented
86#2768C2214yescomplemented
87#2756C2214yes—
88#2754C2214yescomplemented
89#2752C2214yes—
90#2751C2214yescomplemented
91#2747C2214yescomplemented
92#2745C2214yescomplemented
93#2744C2214yescomplemented
94#2742C2214yescomplemented
95#2742C2214yescomplemented
96#2741C2214yescomplemented
97#2741C2214yescomplemented
98#2740C2214yes—
99#2737C2214yes—
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2654C2214yescomplemented
103#2647C2212yescomplemented
104#2644C2212yes—
105#2632C2214yescomplemented
106#2628C2212yescomplemented
107#2628C2212yescomplemented
108#2628C2212yescomplemented
109#2625C2212yescomplemented
110#2625C2212yescomplemented
111#2624C2212yes—
112#2624C2212yescomplemented
113#2624C2212yescomplemented
114#2621C2212yescomplemented
115#2621C2212yescomplemented
116#2611C2214yescomplemented
117#2611C2214yescomplemented
118#2610C2214yes—
119#2606C2214yescomplemented
120#2599C2214yescomplemented
121#2599C2214yescomplemented
122#2583C2214yes—
123#2577C2214yescomplemented
124#2571C2212yescomplemented
125#2571C2211yescharacteristic, complemented
126#2570C2212yescomplemented
127#2563C2211yescharacteristic
128#2563C2212yes—
129#2563C2211yescharacteristic, complemented
130#2561C2214yes—
131#2558C2214yescomplemented
132#2551C2211yescharacteristic, complemented
133#2550C2212yescomplemented
134#2546C2211yescharacteristic, complemented
135#2542C2211yescharacteristic
136#2538C2211yescharacteristic
137#2537C2211yescharacteristic
138#2532C2214yescomplemented
139#2531C2214yes—
140#2530C2214yescomplemented
141#2530C2214yescomplemented
142#2525C2214yescomplemented
143#2521C2214yescomplemented
144#2513C2212yes—
145#2513C2212yes—
146#2513C2212yes—
147#2513C2212yescomplemented
148#2509C2212yescomplemented
149#2508C2212yescomplemented
150#2507C2212yescomplemented
151#2506C2212yescomplemented
152#2505C2214yes—
153#2503C2212yescomplemented
154#2500C2212yes—
155#2498C2214yescomplemented
156#2498C2214yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2214yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2494C2212yescomplemented
163#2493C2214yes—
164#2493C2214yescomplemented
165#2491C2212yes—
166#2491C2212yescomplemented
167#2490C2212yes—
168#2489C2212yescomplemented
169#2488C2214yes—
170#2487C2212yes—
171#2487C2214yes—
172#2486C2214yes—
173#2486C2212yes—
174#2485C2214yescomplemented
175#2485C2214yescomplemented
176#2484C2214yes—
177#2483C2214yes—
178#2482C2214yes—
179#2479C2214yescomplemented
180#2472C2214yes—
181#2462C2214yescomplemented
182#2460C2214yescomplemented
183#2458C2214yescomplemented
184#2455C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2451C2212yescomplemented
188#2450C2214yes—
189#2450C2214yes—
190#2446C2212yescomplemented
191#2442C2212yes—
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2442C2212yescomplemented
195#2441C2212yescomplemented
196#2440C2212yes—
197#2439C2212yescomplemented
198#2438C2214yes—
199#2437C2214yes—
200#2432C2212yescomplemented
201#2429C2212yescomplemented
202#2426C2212yescomplemented
203#2422C2212yes—
204#2421C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yes—
207#2420C2212yes—
208#2418C2214yes—
209#2417C2212yes—
210#2415C2212yes—
211#2412C2214yes—
212#2412C2214yes—
213#2411C2214yes—
214#2408C2212yes—
215#2407C2212yes—
216#2378C2214yescomplemented
217#2376C2214yescomplemented
218#2370C2212yescomplemented
219#2369C2211yescharacteristic, complemented
220#2367C2214yescomplemented
221#2365C2211yescharacteristic, complemented
222#2365C2212yescomplemented
223#2363C2212yes—
224#2362C2212yescomplemented
225#2361C2212yes—
226#2360C2212yescomplemented
227#2359C2214yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2211yescharacteristic, complemented
231#2352C2212yes—
232Q8×C4⋊C4C2211yescharacteristic, complemented
233#2349C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236#2346C2212yescomplemented
237#2345C2212yescomplemented
238#2344C2212yes—
239#2344C2212yescomplemented
240#2343C2214yescomplemented
241#2342C2214yes—
242#2341C2212yescomplemented
243D4×C22⋊C4C2212yes—
244#2335C2214yescomplemented
245#2330C2212yescomplemented
246#2324C2212yes—
247#2323C2212yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2214yescomplemented
252#2319C2212yes—
253#2316C2212yescomplemented
254#2316C2212yescomplemented
255#2316C2212yescomplemented
256#2311C2212yescomplemented
257#2311C2212yescomplemented
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×#125C2212yescomplemented
261C4×#125C2211yescharacteristic, complemented
262C4×#126C2212yescomplemented
263C4×#124C2211yescharacteristic, complemented
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×#123C2212yes—
268C4×#121C2211yescharacteristic
269#2298C2212yescomplemented
270#2295C2212yescomplemented
271#2295C2212yescomplemented
272#2295C2211yescharacteristic, complemented
273#2293C2211yescharacteristic
274#2293C2212yes—
275#2293C2211yescharacteristic
276#2293C2211yescharacteristic
277#2293C2212yes—
278#2293C2211yescharacteristic
279#2293C2212yes—
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic, complemented
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290#2290C2212yes—
291C2×#388C2212yes—
292C2×#388C2212yes—
293#2283C2212yes—
294#2283C2212yes—
295C2×#380C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#547—28no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2314yes—
317#525—48no—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#120C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×D4—28no—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2311yescharacteristic
356C2×#117—48no—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#392C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#383C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2314yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2314yes—
721#381C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#379C2314yes—
758#379C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804C2×#95C2314yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—44no—
861#125—28no—
862#125—42no—
863#125—44no—
864#125—48no—
865#124—48no—
866#124—42no—
867#123—216no—
868#123—48no—
869#123—44no—
870#123—48no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881#121—28no—
882#121—24no—
883#121—44no—
884#121—44no—
885#120—48no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—48no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4#4118yes—
904#117—44no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—48no—
914#117—48no—
915#117—44no—
916#117—44no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—24no—
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42—42no—
1059C2×C42—42no—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—24no—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183#41—816no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—44no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—416no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4C2×#4114yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—432no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4C2×#4118yes—
1271C22×C4H(5,𝔽2)14yes—
1272C22×C42−1+414yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4C2×#4114yes—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4C2×#4118yes—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—28no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42—41no—
1458C42—41no—
1459C42—41no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—48no—
1492C23—48no—
1493C23—48no—
1494C23—48no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23C22×#4114yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×2−1+412yes—
1501C23#58512yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—48no—
1505Q8—84no—
1506Q8—88no—
1507D4—28no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—88no—
1513D4—88no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—28no—
1525C2×C4—28no—
1526C2×C4—216no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—88no—
1611C2×C4—84no—
1612C2×C4—88no—
1613C2×C4—164no—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×2−1+412yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—816no—
1653C22#354714yes—
1654C22C23×#4111yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C4—22no—
1662C4—24no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—44no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—44no—
1684C4—41no—
1685C4—41no—
1686C4—44no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4#349514yes—
1691C4#351314yes—
1692C2—24no—
1693C2—44no—
1694C2—82no—
1695C2—82no—
1696C2C2×#354711yescharacteristic
1697C2#6275911yescharacteristic
1698C2C2×#351311yescharacteristic
1699C2C2×#349511yescharacteristic
1700C2#6281011yescharacteristic
1701C2#6282711yescharacteristic
1702C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36100C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59720C2semidirect
2. #59509C2semidirect
3. #59224C2semidirect
4. #59209C2semidirect
5. #46253C2semidirect
6. #45589C2semidirect
7. #39203C2semidirect
8. #39194C2semidirect
9. #38967C2semidirect
10. #38955C2semidirect
11. #38743C2semidirect
12. #38547C2semidirect
13. #38276C2semidirect
14. #38266C2semidirect
15. #38215C2semidirect
16. #38201C2semidirect
17. #38112C2semidirect
18. #38101C2semidirect
19. #37636C2semidirect
20. #37628C2semidirect
21. #37410C2semidirect
22. #37402C2semidirect
23. #36638C2semidirect
24. #36635C2semidirect
25. #36176C2semidirect
26. #36167C2semidirect
27. #36154C2semidirect
28. #36148C2semidirect
29. #36133C2semidirect
31. #35325C2semidirect
32. #35263C2semidirect
33. #34484C2semidirect
34. #34480C2semidirect
35. C2×#2293C2semidirect
42. #2866C22semidirect
43. #2865C22semidirect
44. #2864C22semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2863C22semidirect
49. #2862C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
68. #2836C22semidirect
69. #2832C22semidirect
70. #2805C22semidirect
71. #2802C22semidirect
72. #2801C22semidirect
73. #2800C22semidirect
74. #2798C22semidirect
75. #2798C22semidirect
77. #2788C22semidirect
79. #2786C22semidirect
80. #2781C22semidirect
81. #2779C22semidirect
82. #2776C22semidirect
83. #2773C22semidirect
84. #2772C22semidirect
85. #2770C22semidirect
86. #2768C22semidirect
88. #2754C22semidirect
90. #2751C22semidirect
91. #2747C22semidirect
92. #2745C22semidirect
93. #2744C22semidirect
94. #2742C22semidirect
95. #2742C22semidirect
96. #2741C22semidirect
97. #2741C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2654C22semidirect
103. #2647C22semidirect
105. #2632C22semidirect
106. #2628C22semidirect
107. #2628C22semidirect
108. #2628C22semidirect
109. #2625C22semidirect
110. #2625C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2621C22semidirect
115. #2621C22semidirect
116. #2611C22semidirect
117. #2611C22semidirect
119. #2606C22semidirect
120. #2599C22semidirect
121. #2599C22semidirect
123. #2577C22semidirect
124. #2571C22semidirect
125. #2571C22semidirect
126. #2570C22semidirect
129. #2563C22semidirect
131. #2558C22semidirect
132. #2551C22semidirect
133. #2550C22semidirect
134. #2546C22semidirect
138. #2532C22semidirect
140. #2530C22semidirect
141. #2530C22semidirect
142. #2525C22semidirect
143. #2521C22semidirect
147. #2513C22semidirect
148. #2509C22semidirect
149. #2508C22semidirect
150. #2507C22semidirect
151. #2506C22semidirect
153. #2503C22semidirect
155. #2498C22semidirect
156. #2498C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2494C22semidirect
164. #2493C22semidirect
166. #2491C22semidirect
168. #2489C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
179. #2479C22semidirect
181. #2462C22semidirect
182. #2460C22semidirect
183. #2458C22semidirect
187. #2451C22semidirect
190. #2446C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2441C22semidirect
197. #2439C22semidirect
200. #2432C22semidirect
201. #2429C22semidirect
202. #2426C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
216. #2378C22semidirect
217. #2376C22semidirect
218. #2370C22semidirect
219. #2369C22semidirect
220. #2367C22semidirect
221. #2365C22semidirect
222. #2365C22semidirect
224. #2362C22semidirect
226. #2360C22semidirect
230. #2354C22semidirect
232. Q8×C4⋊C4C22semidirect
236. #2346C22semidirect
237. #2345C22semidirect
239. #2344C22semidirect
240. #2343C22semidirect
242. #2341C22semidirect
244. #2335C22semidirect
245. #2330C22semidirect
247. #2323C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
253. #2316C22semidirect
254. #2316C22semidirect
255. #2316C22semidirect
256. #2311C22semidirect
257. #2311C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×#125C22semidirect
261. C4×#125C22semidirect
262. C4×#126C22semidirect
263. C4×#124C22semidirect
269. #2298C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
272. #2295C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#597202
#595092
#592242
#592092
#462532
#455892
#392032
#391942
#389672
#389552
#387432
#385472
#382762
#382662
#382152
#382012
#381122
#381012
#376362
#376282
#374102
#374022
#366382
#366352
#361762
#361672
#361542
#361482
#361332
#361002
#353252
#352632
#344842
#344802
C2×#22932