Finite Group Databasebeta

← #7657547

Subgroups — #7657547

Order 512.

4979 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42783C212yesmaximal, complemented
2#42781C212yesmaximal, complemented
3#42745C212yesmaximal, complemented
4#42740C212yesmaximal, complemented
5#40734C214yesmaximal, complemented
6#40731C214yesmaximal, complemented
7#40694C214yesmaximal, complemented
8#40691C214yesmaximal, complemented
9#39158C211yesmaximal, characteristic, complemented
10#39147C211yesmaximal, characteristic, complemented
11#38985C211yesmaximal, characteristic, complemented
12#38978C211yesmaximal, characteristic, complemented
13#38124C212yesmaximal, complemented
14#38110C212yesmaximal, complemented
15#38068C212yesmaximal, complemented
16#38054C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37629C211yesmaximal, characteristic, complemented
19#37505C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36289C211yesmaximal, characteristic, complemented
22#36275C211yesmaximal, characteristic, complemented
23#36261C211yesmaximal, characteristic, complemented
24#36258C211yesmaximal, characteristic
25#35873C212yesmaximal, complemented
26#35847C212yesmaximal, complemented
27#35791C212yesmaximal, complemented
28#35776C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35270C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32C2×#2644C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#518C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2859C2211yescharacteristic, complemented
43#2858C2211yescharacteristic
44#2857C2212yescomplemented
45#2857C2211yescharacteristic, complemented
46#2856C2211yescharacteristic
47#2855C2212yescomplemented
48#2854C2212yes—
49#2850C2212yes—
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2831C2214yescomplemented
53#2830C2214yescomplemented
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2800C2214yescomplemented
57#2796C2214yescomplemented
58#2777C2214yescomplemented
59#2775C2214yescomplemented
60#2772C2214yescomplemented
61#2772C2214yescomplemented
62#2772C2214yescomplemented
63#2770C2214yescomplemented
64#2765C2214yescomplemented
65#2761C2214yescomplemented
66#2759C2214yescomplemented
67#2757C2214yescomplemented
68#2757C2214yescomplemented
69#2757C2214yescomplemented
70#2751C2214yescomplemented
71#2737C2214yescomplemented
72#2730C2214yescomplemented
73#2723C2214yescomplemented
74#2715C2214yescomplemented
75#2705C2214yescomplemented
76#2701C2214yescomplemented
77#2700C2214yescomplemented
78#2700C2214yescomplemented
79#2698C2214yescomplemented
80#2663C2214yescomplemented
81#2662C2214yescomplemented
82#2654C2212yescomplemented
83#2653C2212yescomplemented
84#2652C2214yescomplemented
85#2651C2214yescomplemented
86#2650C2212yescomplemented
87#2649C2212yescomplemented
88#2647C2212yescomplemented
89#2647C2211yescharacteristic, complemented
90#2645C2211yescharacteristic, complemented
91#2644C2212yes—
92#2644C2211yescharacteristic
93#2644C2212yes—
94#2644C2212yes—
95#2644C2214yescomplemented
96#2644C2214yescomplemented
97#2644C2212yescomplemented
98#2644C2214yescomplemented
99#2644C2212yescomplemented
100#2644C2212yescomplemented
101#2644C2212yescomplemented
102#2644C2212yescomplemented
103#2644C2214yescomplemented
104#2643C2214yescomplemented
105#2640C2211yescharacteristic
106#2640C2212yescomplemented
107#2640C2212yescomplemented
108#2639C2214yescomplemented
109#2638C2214yescomplemented
110#2637C2214yescomplemented
111#2629C2212yescomplemented
112#2628C2211yescharacteristic, complemented
113#2626C2214yescomplemented
114#2625C2212yescomplemented
115#2625C2211yescharacteristic, complemented
116#2624C2211yescharacteristic
117#2624C2212yescomplemented
118#2622C2214yescomplemented
119#2620C2211yescharacteristic
120#2592C2212yescomplemented
121#2584C2212yescomplemented
122#2583C2214yescomplemented
123#2582C2211yescharacteristic, complemented
124#2579C2214yescomplemented
125#2567C2211yescharacteristic, complemented
126#2566C2212yescomplemented
127#2563C2211yescharacteristic
128#2561C2214yescomplemented
129#2552C2211yescharacteristic, complemented
130#2551C2211yescharacteristic, complemented
131#2550C2212yescomplemented
132#2549C2214yescomplemented
133#2548C2211yescharacteristic
134#2548C2211yescharacteristic
135#2547C2212yescomplemented
136#2538C2211yescharacteristic
137#2538C2212yescomplemented
138#2532C2214yescomplemented
139#2530C2214yescomplemented
140#2529C2214yescomplemented
141#2527C2214yescomplemented
142#2513C2212yescomplemented
143#2513C2212yescomplemented
144#2512C2212yes—
145#2512C2212yescomplemented
146#2512C2212yescomplemented
147#2510C2214yescomplemented
148#2510C2214yescomplemented
149#2509C2212yescomplemented
150#2508C2212yescomplemented
151#2504C2212yes—
152#2504C2214yescomplemented
153#2499C2212yescomplemented
154#2496C2212yescomplemented
155#2495C2212yescomplemented
156#2494C2212yescomplemented
157#2494C2212yescomplemented
158#2491C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2488C2214yescomplemented
166#2488C2214yescomplemented
167#2487C2212yescomplemented
168#2485C2212yescomplemented
169#2483C2214yescomplemented
170#2481C2214yescomplemented
171#2480C2214yescomplemented
172#2480C2214yescomplemented
173#2480C2214yescomplemented
174#2472C2214yes—
175#2472C2214yes—
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2454C2212yescomplemented
179#2453C2212yescomplemented
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2452C2212yescomplemented
183#2450C2214yescomplemented
184#2449C2214yescomplemented
185#2449C2214yescomplemented
186#2448C2212yes—
187#2448C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2447C2212yescomplemented
191#2447C2212yescomplemented
192#2444C2214yescomplemented
193#2443C2214yescomplemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2440C2212yescomplemented
197#2440C2212yescomplemented
198#2439C2212yescomplemented
199#2438C2214yescomplemented
200#2437C2214yescomplemented
201#2437C2214yescomplemented
202#2435C2212yes—
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yes—
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2420C2212yescomplemented
211#2419C2214yescomplemented
212#2419C2214yescomplemented
213#2417C2214yescomplemented
214#2417C2212yescomplemented
215#2416C2212yes—
216#2414C2212yes—
217#2412C2214yescomplemented
218#2411C2214yes—
219#2408C2212yes—
220#2401C2212yescomplemented
221#2398C2212yescomplemented
222#2396C2212yescomplemented
223#2395C2212yescomplemented
224C2×#397C2214yescomplemented
225C2×#397C2214yescomplemented
226C2×#397C2214yescomplemented
227C2×#396C2214yescomplemented
228#2370C2212yescomplemented
229#2369C2211yescharacteristic, complemented
230#2366C2211yescharacteristic
231#2363C2212yes—
232#2361C2212yes—
233#2360C2214yescomplemented
234#2360C2212yescomplemented
235#2358C2214yes—
236#2356C2211yescharacteristic, complemented
237#2356C2211yescharacteristic, complemented
238#2354C2211yescharacteristic
239#2353C2212yescomplemented
240#2353C2212yescomplemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242#2349C2211yescharacteristic
243#2349C2212yes—
244#2349C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249#2346C2211yescharacteristic, complemented
250#2346C2211yescharacteristic, complemented
251#2345C2212yescomplemented
252#2343C2212yescomplemented
253#2343C2212yescomplemented
254#2339C2211yescharacteristic
255#2339C2212yes—
256#2339C2211yescharacteristic
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2331C2212yescomplemented
263#2330C2212yescomplemented
264#2329C2214yescomplemented
265#2326C2212yescomplemented
266#2324C2212yes—
267#2324C2212yescomplemented
268#2321C2214yes—
269#2320C2212yescomplemented
270#2319C2212yescomplemented
271#2319C2212yescomplemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2295C2211yescharacteristic, complemented
281#2295C2211yescharacteristic, complemented
282#2295C2211yescharacteristic, complemented
283#2293C2211yescharacteristic
284C2×#390C2212yes—
285C2×#390C2212yes—
286C2×#390C2212yes—
287C2×#389C2212yescomplemented
288C2×#389C2212yescomplemented
289C2×#389C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2283C2212yescomplemented
293#2283C2211yescharacteristic, complemented
294#2275C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×#376C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302#554—28no—
303#554—48no—
304#546—48no—
305D42—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343#518—48no—
344C4×#41—28no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
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#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#383C2314yes—
711#383C2312yes—
712#383C2312yes—
713#383C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#381C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2311yescharacteristic
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2414yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861#127—24no—
862#126—84no—
863#126—84no—
864#125—28no—
865#125—44no—
866#125—44no—
867#124—44no—
868#124—42no—
869#124—44no—
870#124—82no—
871#124—82no—
872#124—84no—
873#123—48no—
874#123—84no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—84no—
883C22⋊Q8—84no—
884C22⋊Q8—82no—
885#121—28no—
886#121—28no—
887#121—44no—
888#121—42no—
889#121—44no—
890#121—48no—
891#121—82no—
892#120—216no—
893#120—48no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—82no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—82no—
919C4×D4#4118yes—
920#117—24no—
921#117—28no—
922#117—42no—
923#117—42no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—48no—
930C2×C4⋊C4—84no—
931C2×C4⋊C4—84no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4—48no—
996C2×C22⋊C4—48no—
997C2×C22⋊C4—48no—
998C2×C22⋊C4—84no—
999C2×C22⋊C4—84no—
1000C2×C22⋊C4—84no—
1001C2×C22⋊C4—84no—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—28no—
1063C2×C42—24no—
1064C2×C42—44no—
1065C2×C42—44no—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—28no—
1175C24—28no—
1176C24—28no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24—44no—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184C24C2512yes—
1185#41—416no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—432no—
1229C2×D4—816no—
1230C2×D4C2×#4114yes—
1231C2×D4H(5,𝔽2)14yes—
1232C2×D42−1+414yes—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4C2×#4118yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4C2×#4114yes—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4C2×#4118yes—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—41no—
1460C42—44no—
1461C42—41no—
1462C42—44no—
1463C42—41no—
1464C42—41no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—24no—
1480C23—21no—
1481C23—24no—
1482C23—21no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—21no—
1492C23—416no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—88no—
1499C23C22×#4114yes—
1500C23C2×H(5,𝔽2)14yes—
1501C23C2×2−1+414yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—44no—
1505Q8—84no—
1506Q8—84no—
1507Q8—164no—
1508D4—416no—
1509D4—48no—
1510D4—48no—
1511D4—48no—
1512D4—44no—
1513D4—84no—
1514D4—88no—
1515D4—84no—
1516D4—164no—
1517D4#542116yes—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—216no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—82no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—84no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4—88no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—164no—
1618C2×C4—164no—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—41no—
1634C22—42no—
1635C22—44no—
1636C22—41no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—44no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—44no—
1648C22—41no—
1649C22—41no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—42no—
1654C22—1616no—
1655C22C2×#54218yes—
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22H(7,𝔽2)11yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—24no—
1664C4—22no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—44no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—44no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—41no—
1692C4C2×#54214yes—
1693C4#352114yes—
1694C2—28no—
1695C2—81no—
1696C2—84no—
1697C2—82no—
1698C2C22×#54211yescharacteristic
1699C2C2×#352111yescharacteristic
1700C2#6285811yescharacteristic
1701C2#6292011yescharacteristic
1702C2#6292011yescharacteristic
1703C2#6295111yescharacteristic
1704C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36258C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42783C2semidirect
2. #42781C2semidirect
3. #42745C2semidirect
4. #42740C2semidirect
5. #40734C2semidirect
6. #40731C2semidirect
7. #40694C2semidirect
8. #40691C2semidirect
9. #39158C2semidirect
10. #39147C2semidirect
11. #38985C2semidirect
12. #38978C2semidirect
13. #38124C2semidirect
14. #38110C2semidirect
15. #38068C2semidirect
16. #38054C2semidirect
17. #37637C2semidirect
18. #37629C2semidirect
19. #37505C2semidirect
20. #37492C2semidirect
21. #36289C2semidirect
22. #36275C2semidirect
23. #36261C2semidirect
25. #35873C2semidirect
26. #35847C2semidirect
27. #35791C2semidirect
28. #35776C2semidirect
29. #35288C2semidirect
30. #35270C2semidirect
31. #34619C2semidirect
32. C2×#2644C2semidirect
33. #34332C2semidirect
34. #34310C2semidirect
35. #34123C2semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2857C22semidirect
47. #2855C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2831C22semidirect
53. #2830C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2800C22semidirect
57. #2796C22semidirect
58. #2777C22semidirect
59. #2775C22semidirect
60. #2772C22semidirect
61. #2772C22semidirect
62. #2772C22semidirect
63. #2770C22semidirect
64. #2765C22semidirect
65. #2761C22semidirect
66. #2759C22semidirect
67. #2757C22semidirect
68. #2757C22semidirect
69. #2757C22semidirect
70. #2751C22semidirect
71. #2737C22semidirect
72. #2730C22semidirect
73. #2723C22semidirect
74. #2715C22semidirect
75. #2705C22semidirect
76. #2701C22semidirect
77. #2700C22semidirect
78. #2700C22semidirect
79. #2698C22semidirect
80. #2663C22semidirect
81. #2662C22semidirect
82. #2654C22semidirect
83. #2653C22semidirect
84. #2652C22semidirect
85. #2651C22semidirect
86. #2650C22semidirect
87. #2649C22semidirect
88. #2647C22semidirect
89. #2647C22semidirect
90. #2645C22semidirect
95. #2644C22semidirect
96. #2644C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
101. #2644C22semidirect
102. #2644C22semidirect
103. #2644C22semidirect
104. #2643C22semidirect
106. #2640C22semidirect
107. #2640C22semidirect
108. #2639C22semidirect
109. #2638C22semidirect
110. #2637C22semidirect
111. #2629C22semidirect
112. #2628C22semidirect
113. #2626C22semidirect
114. #2625C22semidirect
115. #2625C22semidirect
117. #2624C22semidirect
118. #2622C22semidirect
120. #2592C22semidirect
121. #2584C22semidirect
122. #2583C22semidirect
123. #2582C22semidirect
124. #2579C22semidirect
125. #2567C22semidirect
126. #2566C22semidirect
128. #2561C22semidirect
129. #2552C22semidirect
130. #2551C22semidirect
131. #2550C22semidirect
132. #2549C22semidirect
135. #2547C22semidirect
137. #2538C22semidirect
138. #2532C22semidirect
139. #2530C22semidirect
140. #2529C22semidirect
141. #2527C22semidirect
142. #2513C22semidirect
143. #2513C22semidirect
145. #2512C22semidirect
146. #2512C22semidirect
147. #2510C22semidirect
148. #2510C22semidirect
149. #2509C22semidirect
150. #2508C22semidirect
152. #2504C22semidirect
153. #2499C22semidirect
154. #2496C22semidirect
155. #2495C22semidirect
156. #2494C22semidirect
157. #2494C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2488C22semidirect
166. #2488C22semidirect
167. #2487C22semidirect
168. #2485C22semidirect
169. #2483C22semidirect
170. #2481C22semidirect
171. #2480C22semidirect
172. #2480C22semidirect
173. #2480C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2454C22semidirect
179. #2453C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2450C22semidirect
184. #2449C22semidirect
185. #2449C22semidirect
187. #2448C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2444C22semidirect
193. #2443C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2439C22semidirect
199. #2438C22semidirect
200. #2437C22semidirect
201. #2437C22semidirect
203. #2427C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
210. #2420C22semidirect
211. #2419C22semidirect
212. #2419C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
217. #2412C22semidirect
220. #2401C22semidirect
221. #2398C22semidirect
222. #2396C22semidirect
223. #2395C22semidirect
224. C2×#397C22semidirect
225. C2×#397C22semidirect
226. C2×#397C22semidirect
227. C2×#396C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
233. #2360C22semidirect
234. #2360C22semidirect
236. #2356C22semidirect
237. #2356C22semidirect
239. #2353C22semidirect
240. #2353C22semidirect
241. Q8×C4⋊C4C22semidirect
249. #2346C22semidirect
250. #2346C22semidirect
251. #2345C22semidirect
252. #2343C22semidirect
253. #2343C22semidirect
262. #2331C22semidirect
263. #2330C22semidirect
264. #2329C22semidirect
265. #2326C22semidirect
267. #2324C22semidirect
269. #2320C22semidirect
270. #2319C22semidirect
271. #2319C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. #2295C22semidirect
281. #2295C22semidirect
282. #2295C22semidirect
287. C2×#389C22semidirect
288. C2×#389C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2283C22semidirect
293. #2283C22semidirect
297. C4×#117C22semidirect
298. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#427832
#427812
#427452
#427402
#407342
#407312
#406942
#406912
#391582
#391472
#389852
#389782
#381242
#381102
#380682
#380542
#376372
#376292
#375052
#374922
#362892
#362752
#362612
#362582
#358732
#358472
#357912
#357762
#352882
#352702
#346192
C2×#26442
#343322
#343102
#341232