Finite Group Databasebeta

← #7712040

Subgroups — #7712040

Order 512.

4902 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59719C212yesmaximal, complemented
2#59627C212yesmaximal, complemented
3#59488C212yesmaximal, complemented
4#59375C212yesmaximal, complemented
5#46058C214yesmaximal, complemented
6#45658C214yesmaximal, complemented
7#40158C214yesmaximal, complemented
8#39870C214yesmaximal, complemented
9#39298C212yesmaximal, complemented
10#39272C212yesmaximal, complemented
11#39158C211yesmaximal, characteristic, complemented
12#39147C211yesmaximal, characteristic, complemented
13#39070C212yesmaximal, complemented
14#39046C212yesmaximal, complemented
15#38921C211yesmaximal, characteristic, complemented
16#38910C211yesmaximal, characteristic
17#38264C212yesmaximal, complemented
18#38254C212yesmaximal, complemented
19#37637C211yesmaximal, characteristic, complemented
20#37629C211yesmaximal, characteristic, complemented
21#37371C212yesmaximal, complemented
22#37370C212yesmaximal, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36407C211yesmaximal, characteristic, complemented
26#36402C212yesmaximal, complemented
27#36312C211yesmaximal, characteristic, complemented
28#36300C211yesmaximal, characteristic, complemented
29#36289C211yesmaximal, characteristic, complemented
30#36262C212yesmaximal, complemented
31#35299C212yesmaximal, complemented
32#35266C212yesmaximal, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#551C2214yescomplemented
38C2×D42C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2212yescomplemented
41#2866C2212yescomplemented
42#2865C2212yescomplemented
43#2864C2211yescharacteristic, complemented
44#2863C2211yescharacteristic, complemented
45#2861C2211yescharacteristic
46#2861C2212yescomplemented
47#2860C2211yescharacteristic
48#2860C2212yes—
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2859C2211yescharacteristic, complemented
53#2858C2211yescharacteristic
54#2857C2211yescharacteristic, complemented
55#2857C2212yescomplemented
56#2856C2211yescharacteristic
57#2855C2211yescharacteristic, complemented
58#2854C2211yescharacteristic
59#2854C2212yescomplemented
60#2854C2212yescomplemented
61#2853C2212yescomplemented
62#2852C2212yescomplemented
63#2851C2211yescharacteristic, complemented
64#2850C2211yescharacteristic
65#2850C2212yes—
66#2850C2212yescomplemented
67#2831C2214yescomplemented
68#2830C2214yescomplemented
69#2808C2214yescomplemented
70#2800C2214yescomplemented
71#2797C2214yescomplemented
72#2796C2214yescomplemented
73#2796C2214yescomplemented
74#2793C2214yescomplemented
75#2787C2214yescomplemented
76#2786C2214yescomplemented
77#2783C2214yescomplemented
78#2761C2214yescomplemented
79#2759C2214yescomplemented
80#2757C2214yescomplemented
81#2754C2214yescomplemented
82#2751C2214yescomplemented
83#2746C2214yescomplemented
84#2740C2214yescomplemented
85#2736C2214yescomplemented
86#2735C2214yescomplemented
87#2735C2214yescomplemented
88#2735C2214yescomplemented
89#2724C2214yescomplemented
90#2710C2214yescomplemented
91#2706C2214yescomplemented
92#2701C2214yescomplemented
93#2700C2214yescomplemented
94#2698C2214yescomplemented
95#2697C2214yescomplemented
96#2693C2214yescomplemented
97#2685C2214yes—
98#2684C2214yescomplemented
99#2680C2214yescomplemented
100#2678C2214yes—
101#2647C2212yescomplemented
102#2644C2212yes—
103#2644C2212yes—
104#2644C2212yescomplemented
105#2644C2212yescomplemented
106#2644C2212yescomplemented
107#2640C2212yescomplemented
108#2640C2212yescomplemented
109#2638C2214yescomplemented
110#2637C2214yescomplemented
111#2629C2212yescomplemented
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2624C2212yes—
115#2609C2214yescomplemented
116#2603C2214yescomplemented
117#2602C2214yescomplemented
118#2601C2214yescomplemented
119#2601C2214yescomplemented
120#2600C2214yescomplemented
121#2597C2214yescomplemented
122#2596C2214yescomplemented
123#2595C2214yescomplemented
124#2594C2214yescomplemented
125#2589C2214yescomplemented
126#2582C2211yescharacteristic, complemented
127#2578C2214yescomplemented
128#2576C2214yescomplemented
129#2574C2214yescomplemented
130#2567C2211yescharacteristic, complemented
131#2566C2212yescomplemented
132#2563C2211yescharacteristic
133#2561C2214yescomplemented
134#2560C2214yescomplemented
135#2560C2214yescomplemented
136#2557C2214yescomplemented
137#2556C2214yescomplemented
138#2552C2211yescharacteristic, complemented
139#2552C2212yescomplemented
140#2551C2211yescharacteristic, complemented
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2547C2212yescomplemented
144#2540C2212yes—
145#2538C2211yescharacteristic
146#2534C2214yescomplemented
147#2532C2214yescomplemented
148#2531C2214yescomplemented
149#2529C2214yescomplemented
150#2521C2214yescomplemented
151#2519C2214yescomplemented
152#2517C2214yescomplemented
153#2516C2214yescomplemented
154#2513C2212yescomplemented
155#2513C2214yescomplemented
156#2513C2212yescomplemented
157#2513C2214yescomplemented
158#2512C2212yes—
159#2512C2214yescomplemented
160#2512C2212yescomplemented
161#2512C2214yescomplemented
162#2508C2212yescomplemented
163#2508C2212yescomplemented
164#2504C2212yes—
165#2499C2214yescomplemented
166#2496C2212yescomplemented
167#2496C2212yescomplemented
168#2494C2212yescomplemented
169#2494C2212yescomplemented
170#2491C2212yes—
171#2490C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yescomplemented
175#2489C2212yescomplemented
176#2489C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yescomplemented
179#2482C2214yescomplemented
180#2480C2214yescomplemented
181#2480C2214yescomplemented
182#2480C2214yescomplemented
183#2480C2214yescomplemented
184#2480C2214yescomplemented
185#2478C2214yescomplemented
186#2477C2214yescomplemented
187#2477C2214yescomplemented
188#2474C2214yescomplemented
189#2472C2214yes—
190#2472C2214yes—
191#2454C2212yes—
192#2454C2212yescomplemented
193#2452C2212yes—
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2448C2212yes—
197#2448C2212yescomplemented
198#2447C2212yes—
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2441C2212yescomplemented
202#2439C2212yescomplemented
203#2439C2212yescomplemented
204#2435C2212yes—
205#2435C2212yes—
206#2426C2212yescomplemented
207#2423C2212yescomplemented
208#2422C2212yes—
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yes—
213#2408C2212yes—
214#2408C2212yes—
215#2378C2214yescomplemented
216#2375C2214yes—
217#2373C2214yescomplemented
218#2370C2212yescomplemented
219#2370C2212yescomplemented
220#2369C2212yescomplemented
221#2369C2211yescharacteristic, complemented
222#2367C2212yescomplemented
223#2366C2211yescharacteristic
224#2363C2212yes—
225#2363C2212yes—
226#2362C2212yescomplemented
227#2362C2212yescomplemented
228#2357C2214yescomplemented
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2212yes—
232#2354C2211yescharacteristic
233#2354C2212yescomplemented
234Q8×C4⋊C4C2211yescharacteristic, complemented
235#2346C2212yescomplemented
236#2344C2212yescomplemented
237#2342C2214yescomplemented
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242#2331C2212yescomplemented
243#2330C2212yescomplemented
244#2326C2212yescomplemented
245#2324C2212yes—
246#2324C2212yes—
247#2323C2214yescomplemented
248#2323C2212yescomplemented
249#2321C2214yes—
250#2319C2212yes—
251#2317C2212yescomplemented
252#2316C2212yescomplemented
253#2309C2212yes—
254#2309C2212yes—
255#2309C2212yes—
256C4×C4⋊Q8C2211yescharacteristic, complemented
257C4×#127C2211yescharacteristic
258C4×#125C2211yescharacteristic, complemented
259C4×#125C2211yescharacteristic, complemented
260C4×#125C2211yescharacteristic, complemented
261C4×#126C2212yescomplemented
262C4×#126C2212yescomplemented
263C4×#126C2212yescomplemented
264C4×#124C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×#124C2211yescharacteristic
267C4×#124C2212yescomplemented
268C4×C22⋊Q8C2211yescharacteristic, complemented
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×#123C2212yescomplemented
272C4×#123C2212yescomplemented
273C4×#123C2212yescomplemented
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279#2298C2212yescomplemented
280#2298C2212yescomplemented
281#2296C2212yescomplemented
282#2295C2211yescharacteristic, complemented
283#2295C2211yescharacteristic, complemented
284#2295C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290C2×#390C2212yes—
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#554—28no—
302#551—416no—
303D42—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308#529—28no—
309#529—48no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#392C2314yes—
471#392C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#383C2312yes—
707#383C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2414yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4—28no—
821C22×D4—28no—
822C22×D4—44no—
823C22×D4—44no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853#127—24no—
854#126—28no—
855#126—44no—
856#126—48no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—24no—
861#125—28no—
862#125—42no—
863#125—44no—
864#125—44no—
865#124—24no—
866#124—44no—
867#124—44no—
868#124—42no—
869#124—44no—
870#124—44no—
871#124—48no—
872#123—28no—
873#123—28no—
874#123—48no—
875#123—48no—
876#123—48no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—216no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885#121—24no—
886#121—28no—
887#121—28no—
888#121—44no—
889#121—44no—
890#121—42no—
891#121—44no—
892#120—216no—
893#120—48no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—44no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4#4118yes—
915#117—28no—
916#117—44no—
917#117—44no—
918#117—48no—
919#117—48no—
920#117—48no—
921#117—44no—
922#117—44no—
923#117—44no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4—48no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—42no—
1053C2×C42—44no—
1054C2×C42—42no—
1055C2×C42—42no—
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—28no—
1171C24—44no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24C2512yes—
1178C24C2514yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—816no—
1223C2×D4—816no—
1224C2×D4C2×#4114yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2×#4118yes—
1266C22×C4H(5,𝔽2)14yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4C2×#4114yes—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4C2×#4118yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—28no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—41no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42—41no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—42no—
1464C42—44no—
1465C42C2×#4114yes—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—24no—
1490C23—22no—
1491C23—22no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—164no—
1498C23—164no—
1499C23C22×#4114yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2611yescharacteristic
1502Q8—44no—
1503Q8—44no—
1504Q8—84no—
1505Q8—164no—
1506D4—28no—
1507D4—48no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—84no—
1512D4—88no—
1513D4—88no—
1514D4—84no—
1515D4—88no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—216no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4114yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C2×C4#58512yes—
1622C2×C4#58512yes—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—24no—
1627C22—24no—
1628C22—22no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—42no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—1616no—
1652C22C23×#4111yescharacteristic
1653C22C22×H(5,𝔽2)11yescharacteristic
1654C22C2×#58511yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C4—24no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—44no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—42no—
1688C4#351014yes—
1689C4#352114yes—
1690C2—42no—
1691C2—44no—
1692C2—84no—
1693C2—82no—
1694C2#6275911yescharacteristic
1695C2#6276211yescharacteristic
1696C2C2×#352111yescharacteristic
1697C2#6280011yescharacteristic
1698C2C2×#351011yescharacteristic
1699C2#6282211yescharacteristic
1700C2#6282711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38910C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59719C2semidirect
2. #59627C2semidirect
3. #59488C2semidirect
4. #59375C2semidirect
5. #46058C2semidirect
6. #45658C2semidirect
7. #40158C2semidirect
8. #39870C2semidirect
9. #39298C2semidirect
10. #39272C2semidirect
11. #39158C2semidirect
12. #39147C2semidirect
13. #39070C2semidirect
14. #39046C2semidirect
15. #38921C2semidirect
17. #38264C2semidirect
18. #38254C2semidirect
19. #37637C2semidirect
20. #37629C2semidirect
21. #37371C2semidirect
22. #37370C2semidirect
23. #36638C2semidirect
24. #36631C2semidirect
25. #36407C2semidirect
26. #36402C2semidirect
27. #36312C2semidirect
28. #36300C2semidirect
29. #36289C2semidirect
30. #36262C2semidirect
31. #35299C2semidirect
32. #35266C2semidirect
33. #34493C2semidirect
34. #34484C2semidirect
35. C4×#529C2semidirect
37. C2×#551C22semidirect
40. C2×#529C22semidirect
41. #2866C22semidirect
42. #2865C22semidirect
43. #2864C22semidirect
44. #2863C22semidirect
46. #2861C22semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
57. #2855C22semidirect
59. #2854C22semidirect
60. #2854C22semidirect
61. #2853C22semidirect
62. #2852C22semidirect
63. #2851C22semidirect
66. #2850C22semidirect
67. #2831C22semidirect
68. #2830C22semidirect
69. #2808C22semidirect
70. #2800C22semidirect
71. #2797C22semidirect
72. #2796C22semidirect
73. #2796C22semidirect
74. #2793C22semidirect
75. #2787C22semidirect
76. #2786C22semidirect
77. #2783C22semidirect
78. #2761C22semidirect
79. #2759C22semidirect
80. #2757C22semidirect
81. #2754C22semidirect
82. #2751C22semidirect
83. #2746C22semidirect
84. #2740C22semidirect
85. #2736C22semidirect
86. #2735C22semidirect
87. #2735C22semidirect
88. #2735C22semidirect
89. #2724C22semidirect
90. #2710C22semidirect
91. #2706C22semidirect
92. #2701C22semidirect
93. #2700C22semidirect
94. #2698C22semidirect
95. #2697C22semidirect
96. #2693C22semidirect
98. #2684C22semidirect
99. #2680C22semidirect
101. #2647C22semidirect
104. #2644C22semidirect
105. #2644C22semidirect
106. #2644C22semidirect
107. #2640C22semidirect
108. #2640C22semidirect
109. #2638C22semidirect
110. #2637C22semidirect
111. #2629C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
115. #2609C22semidirect
116. #2603C22semidirect
117. #2602C22semidirect
118. #2601C22semidirect
119. #2601C22semidirect
120. #2600C22semidirect
121. #2597C22semidirect
122. #2596C22semidirect
123. #2595C22semidirect
124. #2594C22semidirect
125. #2589C22semidirect
126. #2582C22semidirect
127. #2578C22semidirect
128. #2576C22semidirect
129. #2574C22semidirect
130. #2567C22semidirect
131. #2566C22semidirect
133. #2561C22semidirect
134. #2560C22semidirect
135. #2560C22semidirect
136. #2557C22semidirect
137. #2556C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
143. #2547C22semidirect
146. #2534C22semidirect
147. #2532C22semidirect
148. #2531C22semidirect
149. #2529C22semidirect
150. #2521C22semidirect
151. #2519C22semidirect
152. #2517C22semidirect
153. #2516C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2508C22semidirect
163. #2508C22semidirect
165. #2499C22semidirect
166. #2496C22semidirect
167. #2496C22semidirect
168. #2494C22semidirect
169. #2494C22semidirect
174. #2490C22semidirect
175. #2489C22semidirect
176. #2489C22semidirect
177. #2486C22semidirect
178. #2485C22semidirect
179. #2482C22semidirect
180. #2480C22semidirect
181. #2480C22semidirect
182. #2480C22semidirect
183. #2480C22semidirect
184. #2480C22semidirect
185. #2478C22semidirect
186. #2477C22semidirect
187. #2477C22semidirect
188. #2474C22semidirect
192. #2454C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
197. #2448C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2441C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
206. #2426C22semidirect
207. #2423C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2415C22semidirect
215. #2378C22semidirect
217. #2373C22semidirect
218. #2370C22semidirect
219. #2370C22semidirect
220. #2369C22semidirect
221. #2369C22semidirect
222. #2367C22semidirect
226. #2362C22semidirect
227. #2362C22semidirect
228. #2357C22semidirect
233. #2354C22semidirect
234. Q8×C4⋊C4C22semidirect
235. #2346C22semidirect
236. #2344C22semidirect
237. #2342C22semidirect
242. #2331C22semidirect
243. #2330C22semidirect
244. #2326C22semidirect
247. #2323C22semidirect
248. #2323C22semidirect
251. #2317C22semidirect
252. #2316C22semidirect
256. C4×C4⋊Q8C22semidirect
258. C4×#125C22semidirect
259. C4×#125C22semidirect
260. C4×#125C22semidirect
261. C4×#126C22semidirect
262. C4×#126C22semidirect
263. C4×#126C22semidirect
267. C4×#124C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×#123C22semidirect
272. C4×#123C22semidirect
273. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. #2298C22semidirect
280. #2298C22semidirect
281. #2296C22semidirect
282. #2295C22semidirect
283. #2295C22semidirect
284. #2295C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#597192
#596272
#594882
#593752
#460582
#456582
#401582
#398702
#392982
#392722
#391582
#391472
#390702
#390462
#389212
#389102
#382642
#382542
#376372
#376292
#373712
#373702
#366382
#366312
#364072
#364022
#363122
#363002
#362892
#362622
#352992
#352662
#344932
#344842
C4×#5292