Finite Group Databasebeta

← #7653674

Subgroups — #7653674

Order 512.

5421 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42599C212yesmaximal, complemented
2#42596C212yesmaximal, complemented
3#40702C214yesmaximal, complemented
4#40694C214yesmaximal, complemented
5#40093C212yesmaximal, complemented
6#39771C211yesmaximal, characteristic, complemented
7#39736C211yesmaximal, characteristic, complemented
8#39350C211yesmaximal, characteristic, complemented
9#39213C212yesmaximal, complemented
10#38977C211yesmaximal, characteristic, complemented
11#38535C214yesmaximal, complemented
12#38124C212yesmaximal, complemented
13#38055C212yesmaximal, complemented
14#38054C212yesmaximal, complemented
15#37902C214yesmaximal, complemented
16#37696C212yesmaximal, complemented
17#37629C211yesmaximal, characteristic, complemented
18#37494C212yesmaximal, complemented
19#36274C211yesmaximal, characteristic, complemented
20#36261C211yesmaximal, characteristic, complemented
21#36258C211yesmaximal, characteristic
22#36215C212yesmaximal, complemented
23#36155C212yesmaximal, complemented
24D4×#124C211yesmaximal, characteristic, complemented
25#35873C212yesmaximal, complemented
26#35847C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35225C212yesmaximal, complemented
29#35206C211yesmaximal, characteristic, complemented
30#35083C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32C2×#2447C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#542C2212yes—
41C22×#124C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2212yes—
44C22×C4×D4C2212yes—
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2212yescomplemented
48#2857C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2855C2212yescomplemented
51#2855C2212yescomplemented
52#2854C2212yes—
53#2851C2212yescomplemented
54#2850C2212yes—
55#2849C2214yescomplemented
56#2848C2214yescomplemented
57#2832C2214yescomplemented
58#2831C2214yescomplemented
59#2830C2214yescomplemented
60#2800C2214yescomplemented
61#2796C2214yescomplemented
62#2772C2214yescomplemented
63#2765C2214yescomplemented
64#2765C2214yescomplemented
65#2764C2214yescomplemented
66#2763C2214yescomplemented
67#2761C2214yescomplemented
68#2761C2214yescomplemented
69#2759C2214yescomplemented
70#2757C2214yescomplemented
71#2757C2214yescomplemented
72#2754C2214yescomplemented
73#2751C2214yescomplemented
74#2739C2214yescomplemented
75#2737C2214yescomplemented
76#2723C2214yescomplemented
77#2717C2214yescomplemented
78#2715C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2700C2214yescomplemented
82#2698C2214yescomplemented
83#2691C2214yescomplemented
84#2665C2214yescomplemented
85#2654C2214yescomplemented
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2650C2214yescomplemented
89#2645C2212yescomplemented
90#2644C2212yescomplemented
91#2644C2212yescomplemented
92#2644C2212yescomplemented
93#2643C2214yescomplemented
94#2640C2212yescomplemented
95#2640C2212yescomplemented
96#2640C2212yescomplemented
97#2639C2214yescomplemented
98#2638C2214yescomplemented
99#2638C2214yescomplemented
100#2630C2214yescomplemented
101#2625C2212yescomplemented
102#2624C2212yescomplemented
103#2620C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2583C2214yescomplemented
107#2582C2211yescharacteristic, complemented
108#2580C2212yescomplemented
109#2579C2214yescomplemented
110#2568C2211yescharacteristic, complemented
111#2566C2212yescomplemented
112#2564C2214yescomplemented
113#2561C2214yescomplemented
114#2552C2211yescharacteristic, complemented
115#2551C2211yescharacteristic, complemented
116#2550C2212yescomplemented
117#2549C2214yescomplemented
118#2548C2211yescharacteristic
119#2548C2211yescharacteristic
120#2547C2211yescharacteristic
121#2547C2212yescomplemented
122#2538C2211yescharacteristic
123#2530C2212yescomplemented
124#2527C2212yescomplemented
125#2515C2214yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2512C2212yescomplemented
130#2511C2212yescomplemented
131#2511C2211yescharacteristic, complemented
132#2510C2214yescomplemented
133#2510C2214yescomplemented
134#2509C2211yescharacteristic, complemented
135#2508C2212yescomplemented
136#2504C2214yescomplemented
137#2503C2212yescomplemented
138#2496C2212yescomplemented
139#2495C2212yescomplemented
140#2494C2212yescomplemented
141#2494C2211yescharacteristic, complemented
142#2492C2211yescharacteristic, complemented
143#2491C2212yes—
144#2491C2212yes—
145#2490C2212yescomplemented
146#2490C2212yescomplemented
147#2489C2212yescomplemented
148#2489C2212yescomplemented
149#2488C2214yescomplemented
150#2488C2214yescomplemented
151#2486C2212yescomplemented
152#2483C2214yescomplemented
153#2481C2214yescomplemented
154#2480C2214yescomplemented
155#2480C2214yescomplemented
156#2480C2214yescomplemented
157#2477C2212yescomplemented
158#2472C2214yes—
159#2472C2214yes—
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2470C2212yescomplemented
163#2468C2214yescomplemented
164#2461C2214yescomplemented
165#2454C2212yescomplemented
166#2452C2211yescharacteristic
167#2452C2212yescomplemented
168#2452C2212yescomplemented
169#2451C2212yescomplemented
170#2451C2212yescomplemented
171#2450C2214yescomplemented
172#2450C2214yescomplemented
173#2449C2214yescomplemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2447C2212yes—
177#2447C2212yes—
178#2447C2211yescharacteristic
179#2447C2212yes—
180#2447C2212yescomplemented
181#2447C2214yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2447C2214yescomplemented
187#2447C2214yescomplemented
188#2447C2212yescomplemented
189#2447C2214yescomplemented
190#2444C2214yescomplemented
191#2444C2214yescomplemented
192#2442C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yescomplemented
197#2438C2214yescomplemented
198#2437C2214yescomplemented
199#2437C2214yescomplemented
200#2436C2212yes—
201#2435C2212yes—
202#2427C2211yescharacteristic
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yescomplemented
206#2424C2214yes—
207#2422C2211yescharacteristic
208#2420C2212yescomplemented
209#2420C2212yescomplemented
210#2419C2214yescomplemented
211#2419C2214yescomplemented
212#2417C2212yescomplemented
213#2416C2212yes—
214#2414C2212yes—
215#2412C2214yescomplemented
216#2411C2214yes—
217#2409C2212yescomplemented
218#2408C2212yes—
219#2401C2212yescomplemented
220#2398C2212yescomplemented
221C2×#397C2214yescomplemented
222C2×#397C2214yescomplemented
223#2369C2212yescomplemented
224#2368C2214yescomplemented
225#2366C2211yescharacteristic
226#2365C2211yescharacteristic, complemented
227#2361C2212yes—
228#2361C2212yes—
229#2360C2212yescomplemented
230#2358C2214yes—
231#2355C2211yescharacteristic, complemented
232#2355C2211yescharacteristic, complemented
233#2355C2211yescharacteristic, complemented
234#2352C2212yescomplemented
235#2352C2212yescomplemented
236#2349C2212yes—
237#2349C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244#2347C2211yescharacteristic, complemented
245#2347C2211yescharacteristic, complemented
246#2343C2212yescomplemented
247#2343C2212yescomplemented
248Q8×C22⋊C4C2212yescomplemented
249#2339C2211yescharacteristic
250#2339C2212yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2334C2214yescomplemented
258#2332C2214yescomplemented
259#2331C2212yescomplemented
260#2329C2214yescomplemented
261#2326C2212yes—
262#2326C2212yescomplemented
263#2324C2212yescomplemented
264#2324C2212yescomplemented
265#2320C2212yescomplemented
266#2319C2212yes—
267#2319C2212yescomplemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#127C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#120C2214yes—
280#2295C2211yescharacteristic, complemented
281#2295C2211yescharacteristic, complemented
282#2295C2211yescharacteristic, complemented
283C2×#391C2212yescomplemented
284C2×#391C2212yescomplemented
285C2×#390C2212yes—
286C2×#389C2212yescomplemented
287#2290C2212yescomplemented
288#2290C2212yescomplemented
289C2×#385C2214yescomplemented
290#2285C2211yescharacteristic, complemented
291#2283C2212yescomplemented
292C2×#381C2214yescomplemented
293#2275C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C24×C4C2314yes—
304#554—48no—
305D4×Q8—28no—
306#546—48no—
307D42—28no—
308#542—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124—48no—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C4×#41—28no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4—48no—
360C2×C4×D4—48no—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#393C2312yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#392C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2311yescharacteristic
705#383C2314yes—
706#383C2312yes—
707#383C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—28no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2411yescharacteristic
848C23×C4—48no—
849C23×C4—48no—
850C23×C4—48no—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C4⋊Q8—28no—
871C4⋊Q8—24no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875#127—24no—
876#126—48no—
877#126—48no—
878#125—44no—
879#125—44no—
880#124—24no—
881#124—28no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—48no—
887#124—48no—
888#124—48no—
889#123—44no—
890#123—48no—
891#123—48no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—48no—
900C22⋊Q8—42no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—48no—
910#120—216no—
911#120—48no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—48no—
942C4×D4#4118yes—
943#117—24no—
944#117—28no—
945#117—44no—
946#117—42no—
947#117—42no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—48no—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C22⋊C4—48no—
1016C2×C22⋊C4—48no—
1017C2×C22⋊C4—48no—
1018C2×C22⋊C4—48no—
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—28no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42—44no—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—28no—
1193C24—28no—
1194C24—28no—
1195C24—28no—
1196C24—44no—
1197C24—44no—
1198C24—44no—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2512yes—
1203#41—416no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—28no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—816no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—432no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—432no—
1251C2×D4C2×#4114yes—
1252C2×D4H(5,𝔽2)14yes—
1253C2×D4H(5,𝔽2)14yes—
1254C2×D42−1+414yes—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—832no—
1312C22×C4C2×#4118yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4C2×#4114yes—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—22no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4C2×#4118yes—
1462C42—22no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—44no—
1492C42—44no—
1493C42—44no—
1494C42C2×#4114yes—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—24no—
1507C23—21no—
1508C23—24no—
1509C23—24no—
1510C23—21no—
1511C23—21no—
1512C23—24no—
1513C23—21no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—21no—
1518C23—21no—
1519C23—416no—
1520C23—416no—
1521C23—416no—
1522C23—416no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23C22×#4114yes—
1527C23C2×H(5,𝔽2)14yes—
1528C23C2×H(5,𝔽2)14yes—
1529C23C2×2−1+414yes—
1530C23C2611yescharacteristic
1531Q8—44no—
1532Q8—48no—
1533Q8—44no—
1534Q8—88no—
1535Q8—84no—
1536Q8—164no—
1537D4—28no—
1538D4—416no—
1539D4—416no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—84no—
1544D4—84no—
1545D4—164no—
1546D4#542116yescomplemented
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—216no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—88no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4#58512yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—41no—
1674C22—41no—
1675C22—44no—
1676C22—41no—
1677C22—44no—
1678C22—41no—
1679C22—44no—
1680C22—41no—
1681C22—44no—
1682C22—41no—
1683C22—44no—
1684C22—41no—
1685C22—44no—
1686C22—832no—
1687C22C2×#54218yes—
1688C22C23×#4111yescharacteristic
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C4—22no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—44no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4C2×#54214yes—
1725C4#351314yes—
1726C2—28no—
1727C2—44no—
1728C2—81no—
1729C2—84no—
1730C2C22×#54211yescharacteristic
1731C2C2×#351311yescharacteristic
1732C2#6281011yescharacteristic
1733C2#6301211yescharacteristic
1734C2#6301311yescharacteristic
1735C2#6302111yescharacteristic
1736C2#6302511yescharacteristic
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. #42599C2semidirect
2. #42596C2semidirect
3. #40702C2semidirect
4. #40694C2semidirect
5. #40093C2semidirect
6. #39771C2semidirect
7. #39736C2semidirect
8. #39350C2semidirect
9. #39213C2semidirect
10. #38977C2semidirect
11. #38535C2semidirect
12. #38124C2semidirect
13. #38055C2semidirect
14. #38054C2semidirect
15. #37902C2semidirect
16. #37696C2semidirect
17. #37629C2semidirect
18. #37494C2semidirect
19. #36274C2semidirect
20. #36261C2semidirect
22. #36215C2semidirect
23. #36155C2semidirect
24. D4×#124C2semidirect
25. #35873C2semidirect
26. #35847C2semidirect
27. #35288C2semidirect
28. #35225C2semidirect
29. #35206C2semidirect
30. #35083C2semidirect
31. #34969C2semidirect
32. C2×#2447C2semidirect
33. #34334C2semidirect
34. C4×D42C2semidirect
35. #34127C2semidirect
45. #2859C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
50. #2855C22semidirect
51. #2855C22semidirect
53. #2851C22semidirect
55. #2849C22semidirect
56. #2848C22semidirect
57. #2832C22semidirect
58. #2831C22semidirect
59. #2830C22semidirect
60. #2800C22semidirect
61. #2796C22semidirect
62. #2772C22semidirect
63. #2765C22semidirect
64. #2765C22semidirect
65. #2764C22semidirect
66. #2763C22semidirect
67. #2761C22semidirect
68. #2761C22semidirect
69. #2759C22semidirect
70. #2757C22semidirect
71. #2757C22semidirect
72. #2754C22semidirect
73. #2751C22semidirect
74. #2739C22semidirect
75. #2737C22semidirect
76. #2723C22semidirect
77. #2717C22semidirect
78. #2715C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2700C22semidirect
82. #2698C22semidirect
83. #2691C22semidirect
84. #2665C22semidirect
85. #2654C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2650C22semidirect
89. #2645C22semidirect
90. #2644C22semidirect
91. #2644C22semidirect
92. #2644C22semidirect
93. #2643C22semidirect
94. #2640C22semidirect
95. #2640C22semidirect
96. #2640C22semidirect
97. #2639C22semidirect
98. #2638C22semidirect
99. #2638C22semidirect
100. #2630C22semidirect
101. #2625C22semidirect
102. #2624C22semidirect
103. #2620C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2583C22semidirect
107. #2582C22semidirect
108. #2580C22semidirect
109. #2579C22semidirect
110. #2568C22semidirect
111. #2566C22semidirect
112. #2564C22semidirect
113. #2561C22semidirect
114. #2552C22semidirect
115. #2551C22semidirect
116. #2550C22semidirect
117. #2549C22semidirect
121. #2547C22semidirect
123. #2530C22semidirect
124. #2527C22semidirect
125. #2515C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2512C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
132. #2510C22semidirect
133. #2510C22semidirect
134. #2509C22semidirect
135. #2508C22semidirect
136. #2504C22semidirect
137. #2503C22semidirect
138. #2496C22semidirect
139. #2495C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2492C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
147. #2489C22semidirect
148. #2489C22semidirect
149. #2488C22semidirect
150. #2488C22semidirect
151. #2486C22semidirect
152. #2483C22semidirect
153. #2481C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2477C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2470C22semidirect
163. #2468C22semidirect
164. #2461C22semidirect
165. #2454C22semidirect
167. #2452C22semidirect
168. #2452C22semidirect
169. #2451C22semidirect
170. #2451C22semidirect
171. #2450C22semidirect
172. #2450C22semidirect
173. #2449C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2447C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2444C22semidirect
191. #2444C22semidirect
192. #2442C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2439C22semidirect
197. #2438C22semidirect
198. #2437C22semidirect
199. #2437C22semidirect
203. #2427C22semidirect
205. #2426C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
210. #2419C22semidirect
211. #2419C22semidirect
212. #2417C22semidirect
215. #2412C22semidirect
217. #2409C22semidirect
219. #2401C22semidirect
220. #2398C22semidirect
221. C2×#397C22semidirect
222. C2×#397C22semidirect
223. #2369C22semidirect
224. #2368C22semidirect
226. #2365C22semidirect
229. #2360C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
233. #2355C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
244. #2347C22semidirect
245. #2347C22semidirect
246. #2343C22semidirect
247. #2343C22semidirect
248. Q8×C22⋊C4C22semidirect
257. #2334C22semidirect
258. #2332C22semidirect
259. #2331C22semidirect
260. #2329C22semidirect
262. #2326C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2320C22semidirect
267. #2319C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
280. #2295C22semidirect
281. #2295C22semidirect
282. #2295C22semidirect
283. C2×#391C22semidirect
284. C2×#391C22semidirect
286. C2×#389C22semidirect
287. #2290C22semidirect
288. #2290C22semidirect
289. C2×#385C22semidirect
290. #2285C22semidirect
291. #2283C22semidirect
292. C2×#381C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1546. D4#542semidirect

Maximal subgroups

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

subgroupindex
#425992
#425962
#407022
#406942
#400932
#397712
#397362
#393502
#392132
#389772
#385352
#381242
#380552
#380542
#379022
#376962
#376292
#374942
#362742
#362612
#362582
#362152
#361552
D4×#1242
#358732
#358472
#352882
#352252
#352062
#350832
#349692
C2×#24472
#343342
C4×D422
#341272