Finite Group Databasebeta

← #7657468

Subgroups — #7657468

Order 512.

4880 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#42575C212yesmaximal, complemented
2#42567C212yesmaximal, complemented
3#42551C212yesmaximal, complemented
4#42544C212yesmaximal, complemented
5#40883C214yesmaximal, complemented
6#40876C214yesmaximal, complemented
7#40778C214yesmaximal, complemented
8#40769C214yesmaximal, complemented
9#39478C211yesmaximal, characteristic, complemented
10#39351C211yesmaximal, characteristic, complemented
11#39202C211yesmaximal, characteristic, complemented
12#39192C211yesmaximal, characteristic, complemented
13#38131C212yesmaximal, complemented
14#38116C212yesmaximal, complemented
15#37857C212yesmaximal, complemented
16#37668C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37500C212yesmaximal, complemented
21#36419C211yesmaximal, characteristic, complemented
22#36407C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic
25#35968C212yesmaximal, complemented
26#35880C212yesmaximal, complemented
27#35875C212yesmaximal, complemented
28#35860C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34635C212yesmaximal, complemented
32#34629C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34324C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yes—
39C2×#525C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2859C2211yescharacteristic, complemented
43#2858C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2212yescomplemented
46#2856C2211yescharacteristic
47#2850C2212yescomplemented
48#2848C2212yes—
49#2847C2212yes—
50#2838C2214yescomplemented
51#2829C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2826C2214yes—
55#2824C2214yes—
56#2797C2214yescomplemented
57#2796C2214yescomplemented
58#2778C2214yes—
59#2778C2214yes—
60#2772C2214yescomplemented
61#2767C2214yescomplemented
62#2753C2214yes—
63#2752C2214yescomplemented
64#2750C2214yescomplemented
65#2747C2214yes—
66#2746C2214yescomplemented
67#2746C2214yescomplemented
68#2740C2214yescomplemented
69#2728C2214yescomplemented
70#2725C2214yescomplemented
71#2723C2214yescomplemented
72#2697C2214yes—
73#2697C2214yes—
74#2696C2214yes—
75#2695C2214yescomplemented
76#2687C2214yescomplemented
77#2685C2214yes—
78#2684C2214yes—
79#2672C2214yes—
80#2655C2212yescomplemented
81#2655C2212yescomplemented
82#2652C2212yes—
83#2652C2212yes—
84#2652C2214yescomplemented
85#2651C2214yescomplemented
86#2650C2214yescomplemented
87#2650C2214yescomplemented
88#2649C2214yescomplemented
89#2649C2214yescomplemented
90#2648C2214yes—
91#2647C2211yescharacteristic, complemented
92#2645C2212yescomplemented
93#2645C2211yescharacteristic, complemented
94#2645C2211yescharacteristic, complemented
95#2644C2212yescomplemented
96#2644C2212yescomplemented
97#2642C2211yescharacteristic, complemented
98#2641C2212yes—
99#2640C2212yes—
100#2638C2214yescomplemented
101#2636C2214yes—
102#2630C2214yescomplemented
103#2629C2211yescharacteristic
104#2628C2212yescomplemented
105#2625C2212yes—
106#2625C2211yescharacteristic
107#2625C2211yescharacteristic
108#2625C2212yescomplemented
109#2625C2212yescomplemented
110#2624C2212yes—
111#2624C2212yes—
112#2624C2212yescomplemented
113#2624C2212yescomplemented
114#2623C2214yescomplemented
115#2623C2214yescomplemented
116#2622C2214yes—
117#2622C2214yes—
118#2621C2211yescharacteristic
119#2620C2212yescomplemented
120#2597C2214yescomplemented
121#2596C2214yescomplemented
122#2593C2214yescomplemented
123#2587C2214yescomplemented
124#2576C2214yes—
125#2575C2214yescomplemented
126#2574C2214yescomplemented
127#2568C2211yescharacteristic, complemented
128#2565C2212yescomplemented
129#2560C2214yescomplemented
130#2559C2214yescomplemented
131#2559C2214yescomplemented
132#2556C2214yescomplemented
133#2553C2214yescomplemented
134#2552C2211yescharacteristic, complemented
135#2551C2211yescharacteristic, complemented
136#2548C2212yes—
137#2548C2211yescharacteristic, complemented
138#2547C2211yescharacteristic
139#2544C2212yes—
140#2544C2212yes—
141#2544C2212yes—
142#2542C2212yescomplemented
143#2541C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2531C2214yescomplemented
147#2527C2214yescomplemented
148#2526C2214yes—
149#2526C2214yescomplemented
150#2516C2214yescomplemented
151#2513C2212yes—
152#2513C2212yescomplemented
153#2512C2212yes—
154#2512C2212yescomplemented
155#2511C2212yescomplemented
156#2511C2212yescomplemented
157#2509C2212yescomplemented
158#2508C2212yescomplemented
159#2507C2212yescomplemented
160#2505C2214yescomplemented
161#2500C2212yescomplemented
162#2496C2212yescomplemented
163#2494C2214yescomplemented
164#2494C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yes—
167#2490C2212yes—
168#2490C2212yescomplemented
169#2489C2212yes—
170#2488C2214yescomplemented
171#2485C2212yes—
172#2481C2214yescomplemented
173#2480C2214yes—
174#2479C2214yescomplemented
175#2477C2214yescomplemented
176#2474C2214yes—
177#2472C2214yes—
178#2470C2214yes—
179#2468C2214yescomplemented
180#2466C2214yes—
181#2456C2214yes—
182#2454C2212yes—
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2452C2212yes—
186#2452C2212yescomplemented
187#2451C2212yescomplemented
188#2450C2214yescomplemented
189#2449C2214yescomplemented
190#2448C2212yes—
191#2448C2212yescomplemented
192#2448C2212yescomplemented
193#2448C2212yescomplemented
194#2447C2214yes—
195#2447C2212yes—
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yes—
199#2445C2212yes—
200#2441C2212yescomplemented
201#2439C2212yescomplemented
202#2435C2212yes—
203#2433C2212yes—
204#2432C2212yescomplemented
205#2429C2212yescomplemented
206#2427C2212yes—
207#2427C2212yescomplemented
208#2426C2212yes—
209#2424C2214yes—
210#2422C2212yes—
211#2422C2212yescomplemented
212#2421C2212yes—
213#2420C2212yes—
214#2420C2212yescomplemented
215#2419C2214yes—
216#2418C2214yes—
217#2415C2212yes—
218#2414C2212yes—
219#2407C2212yes—
220#2402C2212yescomplemented
221#2402C2212yescomplemented
222#2401C2212yes—
223#2401C2212yes—
224#2395C2214yes—
225#2395C2214yes—
226#2395C2214yescomplemented
227#2395C2214yescomplemented
228#2373C2214yescomplemented
229#2370C2212yescomplemented
230#2369C2212yescomplemented
231#2367C2212yes—
232#2367C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2212yes—
236#2366C2212yes—
237#2366C2211yescharacteristic, complemented
238#2365C2211yescharacteristic, complemented
239#2364C2214yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2212yes—
243#2360C2212yes—
244#2357C2212yescomplemented
245#2355C2212yescomplemented
246#2355C2211yescharacteristic, complemented
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2352C2212yes—
253Q8×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2346C2212yescomplemented
257#2344C2211yescharacteristic
258#2344C2211yescharacteristic
259#2342C2212yes—
260#2342C2212yes—
261#2339C2212yescomplemented
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2334C2214yescomplemented
265#2333C2214yescomplemented
266#2328C2212yes—
267#2326C2212yes—
268#2324C2212yes—
269#2324C2212yescomplemented
270#2323C2212yescomplemented
271#2319C2212yescomplemented
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic, complemented
276C4×#125C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2296C2212yescomplemented
284#2296C2212yescomplemented
285#2295C2211yescharacteristic, complemented
286#2295C2211yescharacteristic, complemented
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2280C2212yes—
293#2280C2212yes—
294#2276C2212yescomplemented
295#2275C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#550—28no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4—28no—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117—48no—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2312yes—
396#401C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2312yes—
482#395C2314yes—
483#395C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
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#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#379C2314yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4—42no—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4—28no—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860#127—28no—
861#127—24no—
862#127—44no—
863#126—216no—
864#126—48no—
865#126—84no—
866#125—42no—
867#125—44no—
868#125—82no—
869#124—28no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—48no—
875#123—48no—
876#123—48no—
877#123—84no—
878C22⋊Q8—28no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—82no—
894#120—48no—
895#120—84no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—82no—
919C4×D4—84no—
920C4×D4#4118yes—
921#117—28no—
922#117—24no—
923#117—28no—
924#117—44no—
925#117—44no—
926#117—42no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—816no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—416no—
1231C2×D4C2×#4114yes—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
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—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—432no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4C2×#4118yes—
1277C22×C4H(5,𝔽2)14yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
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—42no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4C2×#4114yes—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
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—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4C2×#4118yes—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—41no—
1457C42—41no—
1458C42—44no—
1459C42—44no—
1460C42—41no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—41no—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—24no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—48no—
1494C23—48no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23C22×#4114yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2611yescharacteristic
1503Q8—48no—
1504Q8—44no—
1505Q8—44no—
1506Q8—164no—
1507D4—28no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—48no—
1512D4—84no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—164no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—28no—
1525C2×C4—216no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
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—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—82no—
1610C2×C4—88no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—164no—
1616C2×C4—164no—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C22—22no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—22no—
1631C22—22no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—44no—
1642C22—44no—
1643C22—42no—
1644C22—42no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—816no—
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22H(7,𝔽2)11yescharacteristic
1661C222−1+611yescharacteristic
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—44no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—44no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—41no—
1685C4—44no—
1686C4—41no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4#345514yes—
1692C4#351314yes—
1693C2—44no—
1694C2—42no—
1695C2—84no—
1696C2—82no—
1697C2C2×#345511yescharacteristic
1698C2C2×#351311yescharacteristic
1699C2#6285711yescharacteristic
1700C2#6295511yescharacteristic
1701C2#6296011yescharacteristic
1702C2#6296611yescharacteristic
1703C2#6296711yescharacteristic
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. #42575C2semidirect
2. #42567C2semidirect
3. #42551C2semidirect
4. #42544C2semidirect
5. #40883C2semidirect
6. #40876C2semidirect
7. #40778C2semidirect
8. #40769C2semidirect
9. #39478C2semidirect
10. #39351C2semidirect
11. #39202C2semidirect
12. #39192C2semidirect
13. #38131C2semidirect
14. #38116C2semidirect
15. #37857C2semidirect
16. #37668C2semidirect
17. #37631C2semidirect
18. #37625C2semidirect
19. #37511C2semidirect
20. #37500C2semidirect
21. #36419C2semidirect
22. #36407C2semidirect
23. #36161C2semidirect
25. #35968C2semidirect
26. #35880C2semidirect
27. #35875C2semidirect
28. #35860C2semidirect
29. #35288C2semidirect
30. #35260C2semidirect
31. #34635C2semidirect
32. #34629C2semidirect
33. #34330C2semidirect
34. #34324C2semidirect
35. D4×#117C2semidirect
42. #2859C22semidirect
43. #2858C22semidirect
45. #2857C22semidirect
47. #2850C22semidirect
50. #2838C22semidirect
51. #2829C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
56. #2797C22semidirect
57. #2796C22semidirect
60. #2772C22semidirect
61. #2767C22semidirect
63. #2752C22semidirect
64. #2750C22semidirect
66. #2746C22semidirect
67. #2746C22semidirect
68. #2740C22semidirect
69. #2728C22semidirect
70. #2725C22semidirect
71. #2723C22semidirect
75. #2695C22semidirect
76. #2687C22semidirect
80. #2655C22semidirect
81. #2655C22semidirect
84. #2652C22semidirect
85. #2651C22semidirect
86. #2650C22semidirect
87. #2650C22semidirect
88. #2649C22semidirect
89. #2649C22semidirect
91. #2647C22semidirect
92. #2645C22semidirect
93. #2645C22semidirect
94. #2645C22semidirect
95. #2644C22semidirect
96. #2644C22semidirect
97. #2642C22semidirect
100. #2638C22semidirect
102. #2630C22semidirect
104. #2628C22semidirect
108. #2625C22semidirect
109. #2625C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2623C22semidirect
115. #2623C22semidirect
119. #2620C22semidirect
120. #2597C22semidirect
121. #2596C22semidirect
122. #2593C22semidirect
123. #2587C22semidirect
125. #2575C22semidirect
126. #2574C22semidirect
127. #2568C22semidirect
128. #2565C22semidirect
129. #2560C22semidirect
130. #2559C22semidirect
131. #2559C22semidirect
132. #2556C22semidirect
133. #2553C22semidirect
134. #2552C22semidirect
135. #2551C22semidirect
137. #2548C22semidirect
142. #2542C22semidirect
146. #2531C22semidirect
147. #2527C22semidirect
149. #2526C22semidirect
150. #2516C22semidirect
152. #2513C22semidirect
154. #2512C22semidirect
155. #2511C22semidirect
156. #2511C22semidirect
157. #2509C22semidirect
158. #2508C22semidirect
159. #2507C22semidirect
160. #2505C22semidirect
161. #2500C22semidirect
162. #2496C22semidirect
163. #2494C22semidirect
164. #2494C22semidirect
165. #2492C22semidirect
168. #2490C22semidirect
170. #2488C22semidirect
172. #2481C22semidirect
174. #2479C22semidirect
175. #2477C22semidirect
179. #2468C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
186. #2452C22semidirect
187. #2451C22semidirect
188. #2450C22semidirect
189. #2449C22semidirect
191. #2448C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
200. #2441C22semidirect
201. #2439C22semidirect
204. #2432C22semidirect
205. #2429C22semidirect
207. #2427C22semidirect
211. #2422C22semidirect
214. #2420C22semidirect
220. #2402C22semidirect
221. #2402C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2373C22semidirect
229. #2370C22semidirect
230. #2369C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
239. #2364C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
244. #2357C22semidirect
245. #2355C22semidirect
246. #2355C22semidirect
253. Q8×C4⋊C4C22semidirect
256. #2346C22semidirect
261. #2339C22semidirect
264. #2334C22semidirect
265. #2333C22semidirect
269. #2324C22semidirect
270. #2323C22semidirect
271. #2319C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#125C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2296C22semidirect
284. #2296C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
294. #2276C22semidirect
295. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#425752
#425672
#425512
#425442
#408832
#408762
#407782
#407692
#394782
#393512
#392022
#391922
#381312
#381162
#378572
#376682
#376312
#376252
#375112
#375002
#364192
#364072
#361612
#361012
#359682
#358802
#358752
#358602
#352882
#352602
#346352
#346292
#343302
#343242
D4×#1172