Finite Group Databasebeta

← #7654288

Subgroups — #7654288

Order 512.

4926 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42742C212yesmaximal, complemented
2#42575C212yesmaximal, complemented
3#41460C214yesmaximal, complemented
4#41452C214yesmaximal, complemented
5#40049C212yesmaximal, complemented
6#40038C214yesmaximal, complemented
7#39506C211yesmaximal, characteristic, complemented
8#39202C211yesmaximal, characteristic, complemented
9#39159C211yesmaximal, characteristic, complemented
10#39001C212yesmaximal, complemented
11#38990C214yesmaximal, complemented
12#38941C211yesmaximal, characteristic, complemented
13#38118C212yesmaximal, complemented
14#37858C212yesmaximal, complemented
15#37711C212yesmaximal, complemented
16#37668C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37499C212yesmaximal, complemented
19#36591C212yesmaximal, complemented
20#36490C212yesmaximal, complemented
21#36419C211yesmaximal, characteristic, complemented
22#36161C211yesmaximal, characteristic, complemented
23#36132C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic
25#35970C212yesmaximal, complemented
26#35885C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35198C211yesmaximal, characteristic, complemented
29#35164C212yesmaximal, complemented
30#35023C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#533C2212yescomplemented
40C2×#525C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2866C2214yescomplemented
43#2861C2214yescomplemented
44#2860C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2858C2212yes—
47#2858C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2838C2214yescomplemented
55#2827C2214yescomplemented
56#2824C2214yes—
57#2797C2214yescomplemented
58#2783C2214yescomplemented
59#2783C2214yescomplemented
60#2782C2214yescomplemented
61#2778C2214yes—
62#2758C2214yescomplemented
63#2752C2214yescomplemented
64#2749C2214yes—
65#2746C2214yescomplemented
66#2745C2214yes—
67#2743C2214yescomplemented
68#2737C2214yescomplemented
69#2737C2214yescomplemented
70#2730C2214yes—
71#2728C2214yescomplemented
72#2723C2214yescomplemented
73#2697C2214yes—
74#2696C2214yes—
75#2695C2214yescomplemented
76#2687C2214yescomplemented
77#2686C2214yes—
78#2685C2214yes—
79#2684C2214yes—
80#2684C2214yes—
81#2662C2214yescomplemented
82#2653C2214yescomplemented
83#2653C2214yescomplemented
84#2653C2214yescomplemented
85#2652C2214yescomplemented
86#2650C2214yescomplemented
87#2648C2214yes—
88#2648C2214yes—
89#2645C2212yescomplemented
90#2645C2212yescomplemented
91#2644C2212yescomplemented
92#2643C2214yescomplemented
93#2640C2212yes—
94#2640C2212yescomplemented
95#2628C2212yescomplemented
96#2625C2212yescomplemented
97#2624C2212yes—
98#2624C2212yescomplemented
99#2622C2214yes—
100#2621C2212yescomplemented
101#2597C2214yes—
102#2595C2214yescomplemented
103#2595C2214yescomplemented
104#2589C2214yescomplemented
105#2578C2214yes—
106#2578C2214yescomplemented
107#2576C2214yes—
108#2572C2214yescomplemented
109#2568C2211yescharacteristic, complemented
110#2568C2212yescomplemented
111#2563C2212yescomplemented
112#2559C2214yescomplemented
113#2559C2214yescomplemented
114#2551C2211yescharacteristic, complemented
115#2551C2211yescharacteristic, complemented
116#2548C2212yes—
117#2548C2211yescharacteristic, complemented
118#2547C2211yescharacteristic
119#2544C2212yes—
120#2544C2212yes—
121#2544C2212yes—
122#2541C2211yescharacteristic
123#2538C2211yescharacteristic
124#2538C2211yescharacteristic
125#2533C2212yescomplemented
126#2531C2214yescomplemented
127#2528C2212yescomplemented
128#2527C2214yescomplemented
129#2521C2214yes—
130#2516C2214yescomplemented
131#2516C2214yescomplemented
132#2515C2214yescomplemented
133#2514C2212yescomplemented
134#2514C2211yescharacteristic, complemented
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yescomplemented
138#2513C2212yescomplemented
139#2510C2214yescomplemented
140#2508C2212yescomplemented
141#2508C2212yescomplemented
142#2506C2211yescharacteristic, complemented
143#2500C2212yescomplemented
144#2496C2211yescharacteristic
145#2495C2212yes—
146#2494C2212yescomplemented
147#2493C2214yescomplemented
148#2492C2212yes—
149#2492C2212yes—
150#2492C2212yescomplemented
151#2491C2212yes—
152#2491C2212yes—
153#2491C2212yescomplemented
154#2490C2212yes—
155#2490C2212yescomplemented
156#2489C2211yescharacteristic
157#2489C2212yescomplemented
158#2489C2212yescomplemented
159#2488C2214yescomplemented
160#2488C2214yescomplemented
161#2485C2212yes—
162#2480C2214yes—
163#2478C2212yes—
164#2475C2212yes—
165#2472C2214yes—
166#2472C2214yes—
167#2469C2214yescomplemented
168#2468C2214yes—
169#2466C2214yes—
170#2465C2214yescomplemented
171#2465C2214yescomplemented
172#2461C2214yescomplemented
173#2460C2214yescomplemented
174#2459C2214yes—
175#2458C2214yescomplemented
176#2456C2214yes—
177#2454C2212yescomplemented
178#2453C2211yescharacteristic, complemented
179#2452C2212yes—
180#2452C2212yes—
181#2452C2212yescomplemented
182#2451C2212yescomplemented
183#2450C2214yes—
184#2448C2212yes—
185#2448C2212yescomplemented
186#2448C2214yescomplemented
187#2448C2212yescomplemented
188#2447C2212yes—
189#2447C2212yescomplemented
190#2447C2214yescomplemented
191#2447C2212yescomplemented
192#2446C2211yescharacteristic, complemented
193#2445C2212yes—
194#2445C2212yes—
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2435C2212yes—
198#2433C2212yes—
199#2432C2212yescomplemented
200#2429C2211yescharacteristic
201#2427C2212yes—
202#2427C2212yes—
203#2426C2212yes—
204#2426C2212yescomplemented
205#2424C2214yes—
206#2421C2212yes—
207#2421C2211yescharacteristic
208#2421C2214yescomplemented
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yescomplemented
212#2419C2214yescomplemented
213#2415C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2402C2212yescomplemented
217#2401C2212yes—
218#2398C2214yes—
219#2398C2214yescomplemented
220#2373C2214yescomplemented
221#2367C2212yes—
222#2367C2212yes—
223#2367C2212yescomplemented
224#2367C2212yescomplemented
225#2366C2212yes—
226#2366C2212yes—
227#2366C2211yescharacteristic, complemented
228#2365C2211yescharacteristic, complemented
229#2365C2212yescomplemented
230#2365C2212yescomplemented
231#2364C2214yescomplemented
232#2363C2212yescomplemented
233#2362C2212yescomplemented
234#2361C2212yes—
235#2360C2212yes—
236#2357C2211yescharacteristic
237#2357C2211yescharacteristic
238#2357C2212yescomplemented
239#2356C2212yescomplemented
240#2355C2211yescharacteristic, complemented
241#2355C2211yescharacteristic, complemented
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2353C2212yes—
245#2353C2212yes—
246#2349C2211yescharacteristic
247#2349C2211yescharacteristic
248#2347C2212yescomplemented
249#2345C2211yescharacteristic
250#2345C2211yescharacteristic
251#2342C2212yes—
252#2342C2212yes—
253#2339C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2333C2214yescomplemented
257#2331C2212yescomplemented
258#2328C2212yes—
259#2324C2212yes—
260#2324C2212yescomplemented
261#2324C2212yescomplemented
262#2321C2214yes—
263#2319C2212yescomplemented
264#2319C2212yescomplemented
265#2318C2214yescomplemented
266#2314C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2212yescomplemented
272C4×#126C2212yes—
273C4×#126C2214yescomplemented
274C4×#124C2212yes—
275C4×#124C2214yes—
276C4×#124C2214yescomplemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2275C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#550—28no—
304#542—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329#525—48no—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4—28no—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392C22×C42C2312yes—
393#401C2314yes—
394#401C2314yes—
395#401C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
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#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#379C2314yes—
735#379C2312yes—
736#379C2312yes—
737#379C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—28no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863#127—28no—
864#127—24no—
865#127—44no—
866#126—216no—
867#126—48no—
868#126—44no—
869#125—24no—
870#125—44no—
871#125—44no—
872#124—28no—
873#124—48no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—44no—
878#124—48no—
879#124—48no—
880#123—48no—
881#123—48no—
882C22⋊Q8—28no—
883C22⋊Q8—24no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891#121—28no—
892#121—28no—
893#121—216no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#120—48no—
899#120—48no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—48no—
905C4×Q8—42no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—48no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4#4118yes—
928#117—28no—
929#117—28no—
930#117—44no—
931#117—44no—
932#117—42no—
933#117—42no—
934#117—44no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4—28no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—24no—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2512yes—
1181C24C2514yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—416no—
1233C2×D4C2×#4114yes—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—816no—
1279C22×C4C2×#4118yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4H(5,𝔽2)14yes—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
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—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4C2×#4118yes—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—28no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—41no—
1456C42—41no—
1457C42—41no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—42no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
1465C42C2×#4114yes—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—24no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—48no—
1493C23—48no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23C22×#4114yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—48no—
1503Q8—44no—
1504Q8—44no—
1505Q8—88no—
1506Q8—88no—
1507D4—28no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—48no—
1512D4—88no—
1513D4—84no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—164no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—216no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—164no—
1615C2×C4—164no—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C22—22no—
1627C22—22no—
1628C22—24no—
1629C22—22no—
1630C22—24no—
1631C22—24no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—816no—
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C4—24no—
1663C4—22no—
1664C4—24no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—44no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—44no—
1691C4#345514yes—
1692C4#351414yes—
1693C2—44no—
1694C2—42no—
1695C2—84no—
1696C2—82no—
1697C2C2×#345511yescharacteristic
1698C2C2×#351411yescharacteristic
1699C2#6281011yescharacteristic
1700C2#6301911yescharacteristic
1701C2#6302111yescharacteristic
1702C2#6302911yescharacteristic
1703C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36101C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42742C2semidirect
2. #42575C2semidirect
3. #41460C2semidirect
4. #41452C2semidirect
5. #40049C2semidirect
6. #40038C2semidirect
7. #39506C2semidirect
8. #39202C2semidirect
9. #39159C2semidirect
10. #39001C2semidirect
11. #38990C2semidirect
12. #38941C2semidirect
13. #38118C2semidirect
14. #37858C2semidirect
15. #37711C2semidirect
16. #37668C2semidirect
17. #37631C2semidirect
18. #37499C2semidirect
19. #36591C2semidirect
20. #36490C2semidirect
21. #36419C2semidirect
22. #36161C2semidirect
23. #36132C2semidirect
25. #35970C2semidirect
26. #35885C2semidirect
27. #35288C2semidirect
28. #35198C2semidirect
29. #35164C2semidirect
30. #35023C2semidirect
31. #34975C2semidirect
32. #34813C2semidirect
33. #34330C2semidirect
34. C4×#556C2semidirect
35. #34126C2semidirect
38. C2×#542C22semidirect
39. C2×#533C22semidirect
42. #2866C22semidirect
43. #2861C22semidirect
44. #2860C22semidirect
45. #2859C22semidirect
47. #2858C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
54. #2838C22semidirect
55. #2827C22semidirect
57. #2797C22semidirect
58. #2783C22semidirect
59. #2783C22semidirect
60. #2782C22semidirect
62. #2758C22semidirect
63. #2752C22semidirect
65. #2746C22semidirect
67. #2743C22semidirect
68. #2737C22semidirect
69. #2737C22semidirect
71. #2728C22semidirect
72. #2723C22semidirect
75. #2695C22semidirect
76. #2687C22semidirect
81. #2662C22semidirect
82. #2653C22semidirect
83. #2653C22semidirect
84. #2653C22semidirect
85. #2652C22semidirect
86. #2650C22semidirect
89. #2645C22semidirect
90. #2645C22semidirect
91. #2644C22semidirect
92. #2643C22semidirect
94. #2640C22semidirect
95. #2628C22semidirect
96. #2625C22semidirect
98. #2624C22semidirect
100. #2621C22semidirect
102. #2595C22semidirect
103. #2595C22semidirect
104. #2589C22semidirect
106. #2578C22semidirect
108. #2572C22semidirect
109. #2568C22semidirect
110. #2568C22semidirect
111. #2563C22semidirect
112. #2559C22semidirect
113. #2559C22semidirect
114. #2551C22semidirect
115. #2551C22semidirect
117. #2548C22semidirect
125. #2533C22semidirect
126. #2531C22semidirect
127. #2528C22semidirect
128. #2527C22semidirect
130. #2516C22semidirect
131. #2516C22semidirect
132. #2515C22semidirect
133. #2514C22semidirect
134. #2514C22semidirect
137. #2513C22semidirect
138. #2513C22semidirect
139. #2510C22semidirect
140. #2508C22semidirect
141. #2508C22semidirect
142. #2506C22semidirect
143. #2500C22semidirect
146. #2494C22semidirect
147. #2493C22semidirect
150. #2492C22semidirect
153. #2491C22semidirect
155. #2490C22semidirect
157. #2489C22semidirect
158. #2489C22semidirect
159. #2488C22semidirect
160. #2488C22semidirect
167. #2469C22semidirect
170. #2465C22semidirect
171. #2465C22semidirect
172. #2461C22semidirect
173. #2460C22semidirect
175. #2458C22semidirect
177. #2454C22semidirect
178. #2453C22semidirect
181. #2452C22semidirect
182. #2451C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
189. #2447C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2446C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
199. #2432C22semidirect
204. #2426C22semidirect
208. #2421C22semidirect
211. #2420C22semidirect
212. #2419C22semidirect
216. #2402C22semidirect
219. #2398C22semidirect
220. #2373C22semidirect
223. #2367C22semidirect
224. #2367C22semidirect
227. #2366C22semidirect
228. #2365C22semidirect
229. #2365C22semidirect
230. #2365C22semidirect
231. #2364C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
238. #2357C22semidirect
239. #2356C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
248. #2347C22semidirect
253. #2339C22semidirect
256. #2333C22semidirect
257. #2331C22semidirect
260. #2324C22semidirect
261. #2324C22semidirect
263. #2319C22semidirect
264. #2319C22semidirect
265. #2318C22semidirect
266. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
273. C4×#126C22semidirect
276. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2295C22semidirect
291. #2275C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427422
#425752
#414602
#414522
#400492
#400382
#395062
#392022
#391592
#390012
#389902
#389412
#381182
#378582
#377112
#376682
#376312
#374992
#365912
#364902
#364192
#361612
#361322
#361012
#359702
#358852
#352882
#351982
#351642
#350232
#349752
#348132
#343302
C4×#5562
#341262