Finite Group Databasebeta

← #7657614

Subgroups — #7657614

Order 512.

5323 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42778C212yesmaximal, complemented
3#42746C212yesmaximal, complemented
4#42741C212yesmaximal, complemented
5#41473C214yesmaximal, complemented
6#41445C214yesmaximal, complemented
7#40839C214yesmaximal, complemented
8#40818C214yesmaximal, complemented
9#39156C211yesmaximal, characteristic, complemented
10#39148C211yesmaximal, characteristic, complemented
11#38987C211yesmaximal, characteristic, complemented
12#38975C211yesmaximal, characteristic, complemented
13#38123C212yesmaximal, complemented
14#38112C212yesmaximal, complemented
15#38067C212yesmaximal, complemented
16#38056C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37502C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36290C211yesmaximal, characteristic, complemented
22#36260C211yesmaximal, characteristic, complemented
23#36259C211yesmaximal, characteristic, complemented
24#36258C211yesmaximal, characteristic, complemented
25#36009C212yesmaximal, complemented
26#35976C212yesmaximal, complemented
27#35821C212yesmaximal, complemented
28#35791C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35271C212yesmaximal, complemented
31#34621C211yesmaximal, characteristic, complemented
32C2×#2644C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34308C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#520C2212yes—
43C2×#518C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2856C2212yes—
50#2854C2212yes—
51#2854C2212yescomplemented
52#2851C2212yescomplemented
53#2837C2214yescomplemented
54#2836C2214yescomplemented
55#2836C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2803C2214yescomplemented
60#2800C2214yescomplemented
61#2797C2214yescomplemented
62#2786C2214yescomplemented
63#2786C2214yescomplemented
64#2780C2214yescomplemented
65#2777C2214yescomplemented
66#2777C2214yescomplemented
67#2773C2214yescomplemented
68#2768C2214yescomplemented
69#2761C2214yescomplemented
70#2756C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2749C2214yescomplemented
74#2749C2214yescomplemented
75#2740C2214yescomplemented
76#2740C2214yescomplemented
77#2740C2214yescomplemented
78#2738C2214yescomplemented
79#2707C2214yescomplemented
80#2706C2214yescomplemented
81#2701C2214yescomplemented
82#2688C2214yescomplemented
83#2667C2214yescomplemented
84#2661C2214yescomplemented
85#2654C2214yescomplemented
86#2651C2212yescomplemented
87#2651C2212yescomplemented
88#2649C2214yescomplemented
89#2648C2214yescomplemented
90#2648C2212yescomplemented
91#2648C2212yescomplemented
92#2647C2211yescharacteristic, complemented
93#2647C2212yescomplemented
94#2644C2211yescharacteristic
95#2644C2212yes—
96#2644C2212yes—
97#2644C2212yes—
98#2644C2214yescomplemented
99#2644C2214yescomplemented
100#2644C2214yescomplemented
101#2644C2212yescomplemented
102#2644C2212yescomplemented
103#2644C2212yescomplemented
104#2644C2212yescomplemented
105#2644C2214yescomplemented
106#2644C2211yescharacteristic, complemented
107#2641C2211yescharacteristic
108#2641C2212yescomplemented
109#2630C2214yescomplemented
110#2629C2211yescharacteristic, complemented
111#2625C2212yescomplemented
112#2624C2211yescharacteristic
113#2624C2212yescomplemented
114#2624C2211yescharacteristic, complemented
115#2624C2212yescomplemented
116#2623C2214yescomplemented
117#2622C2214yescomplemented
118#2621C2212yescomplemented
119#2620C2212yescomplemented
120#2619C2211yescharacteristic
121#2618C2214yescomplemented
122#2617C2214yescomplemented
123#2571C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2548C2211yescharacteristic
126#2547C2212yescomplemented
127#2546C2211yescharacteristic, complemented
128#2545C2212yescomplemented
129#2543C2214yescomplemented
130#2542C2211yescharacteristic
131#2541C2211yescharacteristic
132#2540C2212yes—
133#2540C2212yes—
134#2539C2214yes—
135#2539C2214yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic, complemented
138#2538C2212yescomplemented
139#2535C2212yescomplemented
140#2534C2214yescomplemented
141#2531C2214yescomplemented
142#2531C2214yescomplemented
143#2526C2214yescomplemented
144#2526C2214yescomplemented
145#2513C2212yes—
146#2513C2212yescomplemented
147#2513C2212yescomplemented
148#2509C2212yescomplemented
149#2507C2212yescomplemented
150#2507C2212yescomplemented
151#2507C2212yescomplemented
152#2505C2214yescomplemented
153#2504C2212yescomplemented
154#2501C2212yes—
155#2499C2212yescomplemented
156#2498C2214yescomplemented
157#2497C2212yescomplemented
158#2490C2212yes—
159#2490C2212yescomplemented
160#2486C2212yescomplemented
161#2486C2212yescomplemented
162#2486C2214yescomplemented
163#2485C2212yescomplemented
164#2483C2214yescomplemented
165#2482C2214yescomplemented
166#2473C2214yescomplemented
167#2454C2212yescomplemented
168#2454C2212yescomplemented
169#2454C2212yescomplemented
170#2448C2212yescomplemented
171#2448C2212yescomplemented
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2445C2212yes—
175#2445C2212yescomplemented
176#2444C2214yescomplemented
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2443C2214yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2433C2212yes—
183#2429C2212yescomplemented
184#2429C2212yescomplemented
185#2428C2212yescomplemented
186#2427C2212yescomplemented
187#2427C2212yescomplemented
188#2426C2212yes—
189#2426C2212yescomplemented
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yes—
195#2424C2214yescomplemented
196#2422C2212yescomplemented
197#2421C2212yescomplemented
198#2421C2212yescomplemented
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2419C2214yescomplemented
203#2419C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2416C2212yes—
208#2416C2212yescomplemented
209#2416C2214yescomplemented
210#2416C2212yescomplemented
211#2415C2212yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2212yes—
215#2413C2214yescomplemented
216#2413C2214yescomplemented
217#2412C2214yescomplemented
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2411C2214yes—
221#2411C2214yescomplemented
222#2408C2212yes—
223#2395C2212yescomplemented
224#2395C2212yescomplemented
225#2392C2212yescomplemented
226#2392C2212yescomplemented
227C2×#397C2214yescomplemented
228C2×#397C2214yescomplemented
229C2×#397C2214yescomplemented
230C2×#396C2214yescomplemented
231#2366C2211yescharacteristic
232#2365C2211yescharacteristic, complemented
233#2363C2212yes—
234#2361C2212yes—
235#2361C2212yescomplemented
236#2360C2212yescomplemented
237#2359C2214yescomplemented
238#2358C2214yes—
239#2356C2211yescharacteristic, complemented
240#2356C2211yescharacteristic, complemented
241#2354C2211yescharacteristic
242#2353C2212yescomplemented
243#2353C2212yescomplemented
244#2349C2211yescharacteristic
245#2349C2211yescharacteristic
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic, complemented
251#2346C2211yescharacteristic, complemented
252#2346C2211yescharacteristic, complemented
253#2344C2212yescomplemented
254#2343C2212yescomplemented
255#2343C2212yescomplemented
256#2339C2212yes—
257#2339C2211yescharacteristic
258#2339C2211yescharacteristic
259#2339C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263#2330C2212yescomplemented
264#2328C2212yescomplemented
265#2324C2212yes—
266#2324C2212yescomplemented
267#2323C2212yescomplemented
268#2322C2214yescomplemented
269#2321C2214yes—
270#2319C2212yescomplemented
271#2319C2212yescomplemented
272#2319C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic, complemented
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280C4×#121C2211yescharacteristic, complemented
281#2295C2211yescharacteristic, complemented
282#2295C2211yescharacteristic, complemented
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic, complemented
285C2×#390C2212yes—
286C2×#390C2212yes—
287C2×#390C2212yes—
288C2×#389C2212yescomplemented
289C2×#389C2212yescomplemented
290C2×#389C2212yescomplemented
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×#376C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#547—28no—
304#547—48no—
305#546—48no—
306#546—48no—
307#546—48no—
308D42—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353#520—48no—
354#518—48no—
355C4×#41—28no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#383C2312yes—
722#383C2312yes—
723#383C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2312yes—
737#381C2312yes—
738#381C2314yes—
739#381C2312yes—
740#381C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871#127—24no—
872#127—44no—
873#127—42no—
874#125—44no—
875#125—42no—
876#125—82no—
877#124—44no—
878#124—44no—
879#124—44no—
880#123—216no—
881#123—48no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—84no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—42no—
898#121—44no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—48no—
904#121—48no—
905#121—48no—
906#121—48no—
907#121—82no—
908#121—84no—
909#120—216no—
910#120—48no—
911#120—48no—
912#120—48no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—82no—
942C4×D4#4118yes—
943#117—24no—
944#117—28no—
945#117—42no—
946#117—42no—
947#117—44no—
948#117—44no—
949#117—48no—
950#117—44no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—48no—
956C2×C4⋊C4—48no—
957C2×C4⋊C4—84no—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—84no—
1025C2×C22⋊C4—84no—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—28no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194C24—28no—
1195C24—28no—
1196C24—28no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24C2512yes—
1202C24C2514yes—
1203C24C2512yes—
1204C24C2511yescharacteristic
1205C24C2512yes—
1206#41—416no—
1207#41—432no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—432no—
1263C2×D4—816no—
1264C2×D4C2×#4114yes—
1265C2×D4H(5,𝔽2)14yes—
1266C2×D4H(5,𝔽2)14yes—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4C2×#4118yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4C2×#4114yes—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
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—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4C2×#4118yes—
1480C42—22no—
1481C42—24no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—41no—
1503C42—41no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—41no—
1508C42—41no—
1509C42C2×#4114yes—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—416no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—88no—
1549C23C22×#4114yes—
1550C23C2×H(5,𝔽2)14yes—
1551C23C2×H(5,𝔽2)14yes—
1552C23C2611yescharacteristic
1553Q8—44no—
1554Q8—48no—
1555D4—416no—
1556D4—48no—
1557D4—416no—
1558D4—48no—
1559D4—44no—
1560D4—48no—
1561D4—44no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571D4#540116yes—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—216no—
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—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—48no—
1656C2×C4—416no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—82no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—84no—
1666C2×C4—88no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—164no—
1670C2×C4—164no—
1671C2×C4—164no—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4112yes—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4112yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—41no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—41no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—44no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—44no—
1701C22—42no—
1702C22—44no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—41no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—44no—
1714C22—1616no—
1715C22C2×#54018yes—
1716C22C23×#4111yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C222−1+611yescharacteristic
1723C4—24no—
1724C4—22no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—41no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—44no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4C2×#54014yes—
1752C4#352114yes—
1753C2—28no—
1754C2—81no—
1755C2—82no—
1756C2—84no—
1757C2—82no—
1758C2C22×#54011yescharacteristic
1759C2C2×#352111yescharacteristic
1760C2#6285711yescharacteristic
1761C2#6292011yescharacteristic
1762C2#6292011yescharacteristic
1763C2#6292111yescharacteristic
1764C2#6292111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42784C2semidirect
2. #42778C2semidirect
3. #42746C2semidirect
4. #42741C2semidirect
5. #41473C2semidirect
6. #41445C2semidirect
7. #40839C2semidirect
8. #40818C2semidirect
9. #39156C2semidirect
10. #39148C2semidirect
11. #38987C2semidirect
12. #38975C2semidirect
13. #38123C2semidirect
14. #38112C2semidirect
15. #38067C2semidirect
16. #38056C2semidirect
17. #37628C2semidirect
18. #37625C2semidirect
19. #37502C2semidirect
20. #37493C2semidirect
21. #36290C2semidirect
22. #36260C2semidirect
23. #36259C2semidirect
24. #36258C2semidirect
25. #36009C2semidirect
26. #35976C2semidirect
27. #35821C2semidirect
28. #35791C2semidirect
29. #35288C2semidirect
30. #35271C2semidirect
31. #34621C2semidirect
32. C2×#2644C2semidirect
33. #34310C2semidirect
34. #34308C2semidirect
35. #34123C2semidirect
45. #2859C22semidirect
47. #2857C22semidirect
51. #2854C22semidirect
52. #2851C22semidirect
53. #2837C22semidirect
54. #2836C22semidirect
55. #2836C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2803C22semidirect
60. #2800C22semidirect
61. #2797C22semidirect
62. #2786C22semidirect
63. #2786C22semidirect
64. #2780C22semidirect
65. #2777C22semidirect
66. #2777C22semidirect
67. #2773C22semidirect
68. #2768C22semidirect
69. #2761C22semidirect
70. #2756C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2749C22semidirect
74. #2749C22semidirect
75. #2740C22semidirect
76. #2740C22semidirect
77. #2740C22semidirect
78. #2738C22semidirect
79. #2707C22semidirect
80. #2706C22semidirect
81. #2701C22semidirect
82. #2688C22semidirect
83. #2667C22semidirect
84. #2661C22semidirect
85. #2654C22semidirect
86. #2651C22semidirect
87. #2651C22semidirect
88. #2649C22semidirect
89. #2648C22semidirect
90. #2648C22semidirect
91. #2648C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
101. #2644C22semidirect
102. #2644C22semidirect
103. #2644C22semidirect
104. #2644C22semidirect
105. #2644C22semidirect
106. #2644C22semidirect
108. #2641C22semidirect
109. #2630C22semidirect
110. #2629C22semidirect
111. #2625C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2623C22semidirect
117. #2622C22semidirect
118. #2621C22semidirect
119. #2620C22semidirect
121. #2618C22semidirect
122. #2617C22semidirect
123. #2571C22semidirect
124. #2552C22semidirect
126. #2547C22semidirect
127. #2546C22semidirect
128. #2545C22semidirect
129. #2543C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2535C22semidirect
140. #2534C22semidirect
141. #2531C22semidirect
142. #2531C22semidirect
143. #2526C22semidirect
144. #2526C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
148. #2509C22semidirect
149. #2507C22semidirect
150. #2507C22semidirect
151. #2507C22semidirect
152. #2505C22semidirect
153. #2504C22semidirect
155. #2499C22semidirect
156. #2498C22semidirect
157. #2497C22semidirect
159. #2490C22semidirect
160. #2486C22semidirect
161. #2486C22semidirect
162. #2486C22semidirect
163. #2485C22semidirect
164. #2483C22semidirect
165. #2482C22semidirect
166. #2473C22semidirect
167. #2454C22semidirect
168. #2454C22semidirect
169. #2454C22semidirect
170. #2448C22semidirect
171. #2448C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
179. #2443C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
183. #2429C22semidirect
184. #2429C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
189. #2426C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
195. #2424C22semidirect
196. #2422C22semidirect
197. #2421C22semidirect
198. #2421C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2419C22semidirect
203. #2419C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2415C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
215. #2413C22semidirect
216. #2413C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
221. #2411C22semidirect
223. #2395C22semidirect
224. #2395C22semidirect
225. #2392C22semidirect
226. #2392C22semidirect
227. C2×#397C22semidirect
228. C2×#397C22semidirect
229. C2×#397C22semidirect
230. C2×#396C22semidirect
232. #2365C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2359C22semidirect
239. #2356C22semidirect
240. #2356C22semidirect
242. #2353C22semidirect
243. #2353C22semidirect
250. D4×C4⋊C4C22semidirect
251. #2346C22semidirect
252. #2346C22semidirect
253. #2344C22semidirect
254. #2343C22semidirect
255. #2343C22semidirect
263. #2330C22semidirect
264. #2328C22semidirect
266. #2324C22semidirect
267. #2323C22semidirect
268. #2322C22semidirect
270. #2319C22semidirect
271. #2319C22semidirect
272. #2319C22semidirect
273. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2295C22semidirect
282. #2295C22semidirect
284. #2293C22semidirect
288. C2×#389C22semidirect
289. C2×#389C22semidirect
290. C2×#389C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. #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
#427842
#427782
#427462
#427412
#414732
#414452
#408392
#408182
#391562
#391482
#389872
#389752
#381232
#381122
#380672
#380562
#376282
#376252
#375022
#374932
#362902
#362602
#362592
#362582
#360092
#359762
#358212
#357912
#352882
#352712
#346212
C2×#26442
#343102
#343082
#341232