Finite Group Databasebeta

← #7987175

Subgroups — #7987175

Order 512.

5225 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59650C212yesmaximal, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59314C211yesmaximal, characteristic, complemented
4#59304C211yesmaximal, characteristic, complemented
5#59199C212yesmaximal, complemented
6#49949C214yesmaximal, complemented
7#48349C214yesmaximal, complemented
8#46124C214yesmaximal, complemented
9#45178C212yesmaximal, complemented
10#45082C212yesmaximal, complemented
11#44988C212yesmaximal, complemented
12#44973C212yesmaximal, complemented
13#42934C212yesmaximal, complemented
14#42925C212yesmaximal, complemented
15#42641C212yesmaximal, complemented
16#42635C212yesmaximal, complemented
17#39505C211yesmaximal, characteristic, complemented
18#39369C211yesmaximal, characteristic, complemented
19#38940C211yesmaximal, characteristic, complemented
20#38920C211yesmaximal, characteristic, complemented
21#38576C214yesmaximal, complemented
22#38078C212yesmaximal, complemented
23#37852C212yesmaximal, complemented
24#36599C211yesmaximal, characteristic, complemented
25#36561C212yesmaximal, complemented
26#36438C212yesmaximal, complemented
27#36180C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35231C212yesmaximal, complemented
31#34788C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#553C2212yescomplemented
39C2×#547C2211yescharacteristic
40C2×#546C2212yes—
41C2×#544C2212yescomplemented
42C2×#529C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yes—
45#2868C2211yescharacteristic, complemented
46#2857C2214yes—
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic, complemented
50#2852C2214yes—
51#2851C2214yes—
52#2847C2212yes—
53#2838C2214yescomplemented
54#2837C2214yescomplemented
55#2796C2214yescomplemented
56#2795C2214yescomplemented
57#2793C2214yescomplemented
58#2777C2214yescomplemented
59#2775C2214yescomplemented
60#2773C2214yescomplemented
61#2748C2214yescomplemented
62#2746C2214yescomplemented
63#2746C2214yescomplemented
64#2745C2214yescomplemented
65#2742C2214yescomplemented
66#2741C2214yescomplemented
67#2738C2214yescomplemented
68#2737C2214yescomplemented
69#2737C2214yescomplemented
70#2731C2214yescomplemented
71#2728C2214yescomplemented
72#2723C2214yescomplemented
73#2720C2214yescomplemented
74#2720C2214yescomplemented
75#2718C2214yescomplemented
76#2718C2214yescomplemented
77#2717C2214yescomplemented
78#2711C2214yes—
79#2711C2214yescomplemented
80#2706C2214yescomplemented
81#2696C2214yes—
82#2694C2214yes—
83#2694C2214yes—
84#2681C2214yes—
85#2681C2214yes—
86#2677C2214yescomplemented
87#2674C2214yescomplemented
88#2663C2214yescomplemented
89#2655C2214yescomplemented
90#2654C2214yescomplemented
91#2649C2214yescomplemented
92#2640C2212yes—
93#2629C2214yescomplemented
94#2628C2214yescomplemented
95#2628C2212yescomplemented
96#2624C2212yescomplemented
97#2620C2212yes—
98#2601C2214yescomplemented
99#2598C2214yescomplemented
100#2594C2214yescomplemented
101#2585C2214yescomplemented
102#2573C2214yescomplemented
103#2569C2214yes—
104#2567C2212yescomplemented
105#2564C2214yes—
106#2564C2214yes—
107#2564C2214yescomplemented
108#2563C2212yescomplemented
109#2558C2214yes—
110#2556C2214yescomplemented
111#2556C2214yescomplemented
112#2552C2212yescomplemented
113#2552C2212yescomplemented
114#2552C2211yescharacteristic, complemented
115#2551C2211yescharacteristic, complemented
116#2551C2212yescomplemented
117#2547C2211yescharacteristic
118#2546C2211yescharacteristic, complemented
119#2545C2212yes—
120#2542C2212yes—
121#2542C2212yescomplemented
122#2542C2212yescomplemented
123#2540C2214yes—
124#2538C2211yescharacteristic, complemented
125#2537C2211yescharacteristic
126#2525C2212yescomplemented
127#2524C2214yescomplemented
128#2519C2214yescomplemented
129#2516C2212yescomplemented
130#2514C2212yescomplemented
131#2513C2211yescharacteristic, complemented
132#2511C2212yescomplemented
133#2510C2212yes—
134#2510C2214yes—
135#2509C2211yescharacteristic, complemented
136#2509C2212yescomplemented
137#2506C2214yescomplemented
138#2506C2212yescomplemented
139#2506C2212yescomplemented
140#2505C2214yes—
141#2505C2214yescomplemented
142#2504C2211yescharacteristic
143#2502C2212yes—
144#2502C2212yescomplemented
145#2501C2212yes—
146#2500C2212yescomplemented
147#2497C2212yescomplemented
148#2497C2212yescomplemented
149#2496C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2211yescharacteristic, complemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yes—
156#2491C2212yescomplemented
157#2490C2211yescharacteristic, complemented
158#2489C2212yescomplemented
159#2487C2212yes—
160#2487C2211yescharacteristic
161#2487C2212yescomplemented
162#2487C2212yescomplemented
163#2486C2212yes—
164#2485C2212yescomplemented
165#2480C2212yes—
166#2476C2214yescomplemented
167#2472C2214yes—
168#2470C2214yescomplemented
169#2468C2212yes—
170#2463C2214yescomplemented
171#2457C2212yes—
172#2454C2211yescharacteristic
173#2452C2212yes—
174#2452C2214yescomplemented
175#2449C2214yes—
176#2448C2212yes—
177#2447C2211yescharacteristic
178#2446C2212yescomplemented
179#2444C2212yes—
180#2443C2214yescomplemented
181#2442C2212yes—
182#2442C2211yescharacteristic
183#2442C2211yescharacteristic
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yes—
188#2440C2212yes—
189#2440C2212yes—
190#2440C2212yescomplemented
191#2440C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2438C2214yescomplemented
197#2438C2214yescomplemented
198#2437C2214yes—
199#2437C2214yes—
200#2437C2214yes—
201#2435C2211yescharacteristic
202#2432C2212yes—
203#2427C2212yes—
204#2427C2211yescharacteristic
205#2426C2212yes—
206#2425C2214yes—
207#2424C2214yes—
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2420C2211yescharacteristic
211#2418C2214yes—
212#2418C2212yes—
213#2418C2214yes—
214#2417C2212yes—
215#2417C2211yescharacteristic
216#2416C2212yes—
217#2416C2212yes—
218#2416C2211yescharacteristic
219#2414C2212yescomplemented
220#2412C2214yes—
221#2408C2211yescharacteristic
222#2407C2212yes—
223#2401C2212yescomplemented
224#2395C2212yes—
225#2395C2212yescomplemented
226#2392C2212yes—
227#2383C2214yescomplemented
228#2376C2214yescomplemented
229#2370C2212yescomplemented
230#2365C2212yescomplemented
231#2365C2211yescharacteristic, complemented
232#2363C2212yescomplemented
233#2361C2212yes—
234#2361C2212yes—
235#2360C2212yescomplemented
236#2360C2212yescomplemented
237#2358C2214yes—
238#2355C2211yescharacteristic, complemented
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2214yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2354C2212yes—
248#2352C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yescomplemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2212yescomplemented
256#2347C2212yescomplemented
257#2345C2212yes—
258#2345C2212yescomplemented
259#2341C2212yes—
260#2339C2212yes—
261#2335C2214yescomplemented
262#2330C2212yescomplemented
263#2326C2212yes—
264#2324C2212yescomplemented
265#2323C2212yescomplemented
266#2322C2214yescomplemented
267#2320C2212yescomplemented
268#2317C2212yescomplemented
269#2317C2212yescomplemented
270#2316C2212yescomplemented
271#2314C2212yescomplemented
272#2314C2212yescomplemented
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2214yes—
283C4×#121C2211yescharacteristic, complemented
284C4×#120C2212yes—
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic, complemented
287C2×#390C2212yes—
288#2290C2212yes—
289C2×#388C2214yes—
290C2×#384C2211yescharacteristic
291C2×#384C2211yescharacteristic, complemented
292#2283C2211yescharacteristic, complemented
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—48no—
303#554—48no—
304#553—48no—
305#547—28no—
306#546—48no—
307#544—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4—28no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×#117—48no—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2314yes—
414C22×C42C2312yes—
415#401C2312yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2314yes—
516#392C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2311yescharacteristic
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2314yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#383C2314yes—
716#383C2314yes—
717#383C2312yes—
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2312yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#379C2312yes—
765#379C2312yes—
766#379C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4—28no—
842C23×C4—28no—
843C23×C4—44no—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—48no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—82no—
871#126—28no—
872#126—48no—
873#125—24no—
874#125—24no—
875#125—28no—
876#125—48no—
877#125—48no—
878#125—48no—
879#124—24no—
880#124—42no—
881#124—44no—
882#124—84no—
883#123—28no—
884#123—216no—
885#123—48no—
886#123—48no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—24no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—84no—
901C22⋊Q8—84no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—24no—
906#121—24no—
907#121—48no—
908#121—48no—
909#121—42no—
910#121—44no—
911#121—44no—
912#120—28no—
913#120—48no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—48no—
936C4×D4—84no—
937C4×D4#4118yes—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—44no—
942#117—44no—
943#117—48no—
944#117—48no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—82no—
958C2×C4⋊C4—82no—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C22⋊C4—28no—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—48no—
1100C2×C42—44no—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—24no—
1196C24—24no—
1197C24—24no—
1198C24—24no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24C2512yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—416no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4C2×#4114yes—
1253C2×D42−1+414yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—432no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4C2×#4118yes—
1310C22×C4H(5,𝔽2)14yes—
1311C22×C42−1+414yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
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—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4C2×#4114yes—
1413C4⋊C4H(5,𝔽2)14yes—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—22no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—22no—
1436C22⋊C4—24no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4C2×#4118yes—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—28no—
1484C42—28no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—42no—
1495C42—42no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—41no—
1503C42C2×#4114yes—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—48no—
1535C23—48no—
1536C23—48no—
1537C23—48no—
1538C23—84no—
1539C23—84no—
1540C23—84no—
1541C23C22×#4114yes—
1542C23C2×H(5,𝔽2)12yes—
1543C23C2×2−1+412yes—
1544C23C2×2−1+412yes—
1545C23C2×2−1+412yes—
1546C23C2611yescharacteristic
1547Q8—44no—
1548Q8—48no—
1549Q8—164no—
1550Q8—164no—
1551D4—28no—
1552D4—28no—
1553D4—48no—
1554D4—48no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—84no—
1560D4—88no—
1561D4—164no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—28no—
1575C2×C4—28no—
1576C2×C4—216no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—88no—
1654C2×C4—84no—
1655C2×C4—88no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4—164no—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4114yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C2×H(5,𝔽2)14yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4C2×2−1+412yes—
1669C2×C4C2×2−1+412yes—
1670C2×C4#58512yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—24no—
1679C22—22no—
1680C22—22no—
1681C22—24no—
1682C22—24no—
1683C22—42no—
1684C22—42no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—816no—
1706C22#355214yes—
1707C22C23×#4111yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×2−1+411yescharacteristic
1711C22C22×2−1+411yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22H(7,𝔽2)11yescharacteristic
1714C4—22no—
1715C4—22no—
1716C4—24no—
1717C4—22no—
1718C4—24no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—44no—
1734C4—44no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—42no—
1742C4#349414yes—
1743C4#352014yes—
1744C2—24no—
1745C2—42no—
1746C2—44no—
1747C2—82no—
1748C2—82no—
1749C2C2×#355211yescharacteristic
1750C2C2×#352011yescharacteristic
1751C2C2×#349411yescharacteristic
1752C2#6291611yescharacteristic
1753C2#6292911yescharacteristic
1754C2#6300011yescharacteristic
1755C2#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. #59650C2semidirect
2. #59434C2semidirect
3. #59314C2semidirect
4. #59304C2semidirect
5. #59199C2semidirect
6. #49949C2semidirect
7. #48349C2semidirect
8. #46124C2semidirect
9. #45178C2semidirect
10. #45082C2semidirect
11. #44988C2semidirect
12. #44973C2semidirect
13. #42934C2semidirect
14. #42925C2semidirect
15. #42641C2semidirect
16. #42635C2semidirect
17. #39505C2semidirect
18. #39369C2semidirect
19. #38940C2semidirect
20. #38920C2semidirect
21. #38576C2semidirect
22. #38078C2semidirect
23. #37852C2semidirect
24. #36599C2semidirect
25. #36561C2semidirect
26. #36438C2semidirect
27. #36180C2semidirect
28. #36153C2semidirect
29. #35253C2semidirect
30. #35231C2semidirect
31. #34788C2semidirect
32. #34700C2semidirect
33. #34480C2semidirect
34. #34384C2semidirect
35. C2×#2354C2semidirect
38. C2×#553C22semidirect
41. C2×#544C22semidirect
45. #2868C22semidirect
49. #2857C22semidirect
53. #2838C22semidirect
54. #2837C22semidirect
55. #2796C22semidirect
56. #2795C22semidirect
57. #2793C22semidirect
58. #2777C22semidirect
59. #2775C22semidirect
60. #2773C22semidirect
61. #2748C22semidirect
62. #2746C22semidirect
63. #2746C22semidirect
64. #2745C22semidirect
65. #2742C22semidirect
66. #2741C22semidirect
67. #2738C22semidirect
68. #2737C22semidirect
69. #2737C22semidirect
70. #2731C22semidirect
71. #2728C22semidirect
72. #2723C22semidirect
73. #2720C22semidirect
74. #2720C22semidirect
75. #2718C22semidirect
76. #2718C22semidirect
77. #2717C22semidirect
79. #2711C22semidirect
80. #2706C22semidirect
86. #2677C22semidirect
87. #2674C22semidirect
88. #2663C22semidirect
89. #2655C22semidirect
90. #2654C22semidirect
91. #2649C22semidirect
93. #2629C22semidirect
94. #2628C22semidirect
95. #2628C22semidirect
96. #2624C22semidirect
98. #2601C22semidirect
99. #2598C22semidirect
100. #2594C22semidirect
101. #2585C22semidirect
102. #2573C22semidirect
104. #2567C22semidirect
107. #2564C22semidirect
108. #2563C22semidirect
110. #2556C22semidirect
111. #2556C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2552C22semidirect
115. #2551C22semidirect
116. #2551C22semidirect
118. #2546C22semidirect
121. #2542C22semidirect
122. #2542C22semidirect
124. #2538C22semidirect
126. #2525C22semidirect
127. #2524C22semidirect
128. #2519C22semidirect
129. #2516C22semidirect
130. #2514C22semidirect
131. #2513C22semidirect
132. #2511C22semidirect
135. #2509C22semidirect
136. #2509C22semidirect
137. #2506C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
141. #2505C22semidirect
144. #2502C22semidirect
146. #2500C22semidirect
147. #2497C22semidirect
148. #2497C22semidirect
149. #2496C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
156. #2491C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
161. #2487C22semidirect
162. #2487C22semidirect
164. #2485C22semidirect
166. #2476C22semidirect
168. #2470C22semidirect
170. #2463C22semidirect
174. #2452C22semidirect
178. #2446C22semidirect
180. #2443C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
190. #2440C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
196. #2438C22semidirect
197. #2438C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
219. #2414C22semidirect
223. #2401C22semidirect
225. #2395C22semidirect
227. #2383C22semidirect
228. #2376C22semidirect
229. #2370C22semidirect
230. #2365C22semidirect
231. #2365C22semidirect
232. #2363C22semidirect
235. #2360C22semidirect
236. #2360C22semidirect
238. #2355C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2347C22semidirect
258. #2345C22semidirect
261. #2335C22semidirect
262. #2330C22semidirect
264. #2324C22semidirect
265. #2323C22semidirect
266. #2322C22semidirect
267. #2320C22semidirect
268. #2317C22semidirect
269. #2317C22semidirect
270. #2316C22semidirect
271. #2314C22semidirect
272. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
283. C4×#121C22semidirect
286. #2293C22semidirect
291. C2×#384C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#596502
#594342
#593142
#593042
#591992
#499492
#483492
#461242
#451782
#450822
#449882
#449732
#429342
#429252
#426412
#426352
#395052
#393692
#389402
#389202
#385762
#380782
#378522
#365992
#365612
#364382
#361802
#361532
#352532
#352312
#347882
#347002
#344802
#343842
C2×#23542