Finite Group Databasebeta

← #7678800

Subgroups — #7678800

Order 512.

5276 conjugacy classes of subgroups.

The subgroup lattice has 1859 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59865C212yesmaximal, complemented
2#59865C212yesmaximal, complemented
3#59678C212yesmaximal, complemented
4#59645C212yesmaximal, complemented
5#59644C212yesmaximal, complemented
6#59643C212yesmaximal, complemented
7#59584C212yesmaximal, complemented
8#59442C212yesmaximal, complemented
9#45433C212yesmaximal, complemented
10#45433C212yesmaximal, complemented
11#45222C212yesmaximal, complemented
12#45201C212yesmaximal, complemented
13#45072C212yesmaximal, complemented
14#45043C212yesmaximal, complemented
15#44981C212yesmaximal, complemented
16#44981C212yesmaximal, complemented
17#39266C214yesmaximal, complemented
18#39264C214yesmaximal, complemented
19#39195C214yesmaximal, complemented
20#36521C214yesmaximal, complemented
21#35542C211yesmaximal, characteristic, complemented
22#35542C211yesmaximal, characteristic, complemented
23#35516C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35227C211yesmaximal, characteristic, complemented
26#35180C211yesmaximal, characteristic, complemented
27#35157C211yesmaximal, characteristic, complemented
28#34946C211yesmaximal, characteristic, complemented
29#34936C211yesmaximal, characteristic
30#34215C211yesmaximal, characteristic, complemented
31#34208C211yesmaximal, characteristic, complemented
32#34201C211yesmaximal, characteristic, complemented
33#34200C211yesmaximal, characteristic, complemented
34C2×#2352C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C23×C4⋊C4C2211yescharacteristic
48#2853C2214yes—
49#2850C2214yes—
50#2849C2214yes—
51#2798C2214yescomplemented
52#2798C2214yescomplemented
53#2797C2214yes—
54#2797C2214yescomplemented
55#2796C2214yes—
56#2796C2214yescomplemented
57#2794C2214yescomplemented
58#2794C2214yescomplemented
59#2773C2214yescomplemented
60#2773C2214yescomplemented
61#2754C2214yescomplemented
62#2754C2214yescomplemented
63#2754C2214yescomplemented
64#2754C2214yescomplemented
65#2752C2214yes—
66#2752C2214yescomplemented
67#2751C2214yes—
68#2751C2214yescomplemented
69#2712C2214yes—
70#2712C2214yescomplemented
71#2710C2214yes—
72#2710C2214yescomplemented
73#2709C2214yes—
74#2709C2214yes—
75#2639C2214yes—
76#2623C2214yes—
77#2622C2214yes—
78#2607C2214yescomplemented
79#2607C2214yescomplemented
80#2602C2214yes—
81#2602C2214yescomplemented
82#2597C2214yescomplemented
83#2597C2214yescomplemented
84#2595C2214yes—
85#2595C2214yescomplemented
86#2595C2214yescomplemented
87#2595C2214yescomplemented
88#2593C2214yescomplemented
89#2593C2214yescomplemented
90#2592C2212yescomplemented
91#2592C2212yescomplemented
92#2589C2214yescomplemented
93#2589C2214yescomplemented
94#2575C2214yescomplemented
95#2575C2214yescomplemented
96#2570C2214yescomplemented
97#2568C2212yescomplemented
98#2563C2211yescharacteristic
99#2563C2211yescharacteristic
100#2563C2212yescomplemented
101#2563C2212yescomplemented
102#2563C2212yescomplemented
103#2562C2211yescharacteristic
104#2562C2211yescharacteristic
105#2562C2211yescharacteristic
106#2562C2211yescharacteristic
107#2562C2212yescomplemented
108#2562C2212yescomplemented
109#2562C2212yescomplemented
110#2562C2212yescomplemented
111#2562C2212yescomplemented
112#2562C2212yescomplemented
113#2561C2212yes—
114#2561C2212yes—
115#2557C2214yes—
116#2557C2214yes—
117#2557C2214yescomplemented
118#2557C2214yescomplemented
119#2548C2212yescomplemented
120#2547C2211yescharacteristic
121#2547C2211yescharacteristic
122#2547C2212yescomplemented
123#2547C2212yescomplemented
124#2547C2212yescomplemented
125#2544C2214yes—
126#2542C2211yescharacteristic
127#2542C2211yescharacteristic
128#2541C2211yescharacteristic
129#2541C2211yescharacteristic
130#2540C2211yescharacteristic
131#2540C2211yescharacteristic
132#2540C2211yescharacteristic
133#2540C2211yescharacteristic
134#2539C2212yes—
135#2539C2212yes—
136#2517C2214yescomplemented
137#2517C2214yescomplemented
138#2516C2214yes—
139#2516C2214yescomplemented
140#2516C2214yescomplemented
141#2516C2214yescomplemented
142#2513C2214yescomplemented
143#2511C2214yescomplemented
144#2504C2212yescomplemented
145#2503C2212yes—
146#2503C2212yescomplemented
147#2502C2212yescomplemented
148#2501C2212yes—
149#2501C2212yescomplemented
150#2500C2212yescomplemented
151#2500C2212yescomplemented
152#2499C2212yescomplemented
153#2499C2212yescomplemented
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2489C2212yescomplemented
161#2489C2212yescomplemented
162#2488C2214yes—
163#2488C2214yes—
164#2487C2212yescomplemented
165#2487C2212yescomplemented
166#2487C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2486C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2472C2214yes—
181#2472C2214yes—
182#2459C2214yes—
183#2459C2214yescomplemented
184#2458C2214yescomplemented
185#2458C2214yescomplemented
186#2448C2214yescomplemented
187#2445C2214yes—
188#2435C2212yes—
189#2433C2212yes—
190#2423C2212yescomplemented
191#2423C2212yescomplemented
192#2422C2212yescomplemented
193#2422C2212yescomplemented
194#2421C2212yescomplemented
195#2421C2212yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2419C2214yes—
199#2419C2214yes—
200#2418C2214yes—
201#2418C2214yes—
202#2398C2212yes—
203#2398C2212yes—
204#2397C2212yes—
205#2397C2212yes—
206#2374C2214yescomplemented
207#2374C2214yescomplemented
208#2368C2214yes—
209#2368C2214yes—
210#2367C2214yescomplemented
211#2364C2214yes—
212#2364C2214yes—
213#2363C2212yescomplemented
214#2363C2212yescomplemented
215#2362C2212yescomplemented
216#2362C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2212yescomplemented
221#2357C2214yescomplemented
222#2355C2212yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225#2355C2212yescomplemented
226#2354C2212yescomplemented
227#2354C2212yescomplemented
228#2352C2212yes—
229#2352C2212yes—
230#2352C2212yes—
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2212yescomplemented
239#2352C2212yescomplemented
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2331C2212yescomplemented
247#2331C2212yescomplemented
248#2331C2212yescomplemented
249#2331C2212yescomplemented
250#2330C2212yescomplemented
251#2330C2212yescomplemented
252#2329C2214yes—
253#2328C2212yescomplemented
254#2327C2212yescomplemented
255#2322C2214yes—
256#2321C2214yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2316C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×C4⋊Q8C2212yescomplemented
269C4×C4⋊Q8C2212yescomplemented
270C4×#127C2212yes—
271C4×#127C2212yes—
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#125C2212yescomplemented
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2214yes—
281C4×#123C2214yes—
282C4×#120C2214yes—
283C2×#388C2212yes—
284C2×#387C2212yes—
285C2×#386C2212yes—
286C2×#382C2211yescharacteristic
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292C2×#380C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#544—28no—
306#533—28no—
307#532—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327#525—28no—
328#525—28no—
329#525—44no—
330#525—44no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2312yes—
364#520—44no—
365#520—44no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×D4—28no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×#117—44no—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4—44no—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2311yescharacteristic
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2312yes—
445#399C2312yes—
446#399C2312yes—
447#399C2312yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#399C2312yes—
454#399C2312yes—
455#399C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
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#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2312yes—
501#393C2312yes—
502#393C2312yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
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#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757#379C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2411yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—24no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4—24no—
861C23×C4—24no—
862C23×C4—44no—
863C23×C4—44no—
864C23×C4—82no—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—28no—
893#127—24no—
894#127—44no—
895#127—44no—
896#125—28no—
897#125—24no—
898#125—24no—
899#125—28no—
900#124—24no—
901#124—24no—
902#124—48no—
903#124—44no—
904#124—44no—
905#124—84no—
906#124—84no—
907#123—28no—
908#123—28no—
909#123—48no—
910#123—48no—
911#123—44no—
912#123—44no—
913#123—84no—
914#123—84no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—24no—
920C22⋊Q8—24no—
921C22⋊Q8—216no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926#121—28no—
927#121—28no—
928#121—24no—
929#121—24no—
930#121—24no—
931#121—24no—
932#121—42no—
933#121—42no—
934#121—42no—
935#121—42no—
936#120—28no—
937#120—28no—
938#120—44no—
939#120—44no—
940C4×Q8—28no—
941C4×Q8—28no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—84no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—84no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979#117—44no—
980#117#4118yes—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—44no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—82no—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C42—44no—
1126C2×C42—82no—
1127C2×C42#4118yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24C2511yescharacteristic
1231C24C2511yescharacteristic
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237#41—416no—
1238#41—416no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—28no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—42no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—416no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—416no—
1374C22×C4—416no—
1375C22×C4—816no—
1376C22×C4C2×#4114yes—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4H(5,𝔽2)14yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2514yes—
1393C22×C4C2514yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4C2×#4114yes—
1465C4⋊C4C2×#4114yes—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4C2×#4118yes—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42—42no—
1546C42—42no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42C2×#4114yes—
1560C42C2×#4114yes—
1561C42C2×#4114yes—
1562C42C2×#4114yes—
1563C42C2×#4118yes—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—28no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23—82no—
1622C23C22×#4112yes—
1623C23C22×#4112yes—
1624C23C2×H(5,𝔽2)12yes—
1625C23#58512yes—
1626C23#58512yes—
1627C23C2611yescharacteristic
1628Q8—44no—
1629Q8—44no—
1630Q8—88no—
1631Q8—84no—
1632Q8—84no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—48no—
1640D4—48no—
1641D4—44no—
1642D4—44no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—84no—
1650D4—84no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—88no—
1743C2×C4—164no—
1744C2×C4—164no—
1745C2×C4#559116yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4112yes—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4114yes—
1751C2×C4C22×#4114yes—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4112yes—
1754C2×C4C22×#4112yes—
1755C2×C4C22×#4112yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—416no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—88no—
1808C22C2×#55914yes—
1809C22C23×#4111yescharacteristic
1810C22C23×#4111yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C222−1+611yescharacteristic
1816C4—24no—
1817C4—24no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—44no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—44no—
1834C4—42no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4C2×#55914yes—
1843C4C2×#55914yes—
1844C2—24no—
1845C2—42no—
1846C2—42no—
1847C2—82no—
1848C2—82no—
1849C2—81no—
1850C2—81no—
1851C2C22×#55911yescharacteristic
1852C2#6281411yescharacteristic
1853C2#6285611yescharacteristic
1854C2#6292411yescharacteristic
1855C2#6295411yescharacteristic
1856C2#6299311yescharacteristic
1857C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34936C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59865C2semidirect
2. #59865C2semidirect
3. #59678C2semidirect
4. #59645C2semidirect
5. #59644C2semidirect
6. #59643C2semidirect
7. #59584C2semidirect
8. #59442C2semidirect
9. #45433C2semidirect
10. #45433C2semidirect
11. #45222C2semidirect
12. #45201C2semidirect
13. #45072C2semidirect
14. #45043C2semidirect
15. #44981C2semidirect
16. #44981C2semidirect
17. #39266C2semidirect
18. #39264C2semidirect
19. #39195C2semidirect
20. #36521C2semidirect
21. #35542C2semidirect
22. #35542C2semidirect
23. #35516C2semidirect
24. #35516C2semidirect
25. #35227C2semidirect
26. #35180C2semidirect
27. #35157C2semidirect
28. #34946C2semidirect
30. #34215C2semidirect
31. #34208C2semidirect
32. #34201C2semidirect
33. #34200C2semidirect
34. C2×#2352C2semidirect
35. C4×#544C2semidirect
51. #2798C22semidirect
52. #2798C22semidirect
54. #2797C22semidirect
56. #2796C22semidirect
57. #2794C22semidirect
58. #2794C22semidirect
59. #2773C22semidirect
60. #2773C22semidirect
61. #2754C22semidirect
62. #2754C22semidirect
63. #2754C22semidirect
64. #2754C22semidirect
66. #2752C22semidirect
68. #2751C22semidirect
70. #2712C22semidirect
72. #2710C22semidirect
78. #2607C22semidirect
79. #2607C22semidirect
81. #2602C22semidirect
82. #2597C22semidirect
83. #2597C22semidirect
85. #2595C22semidirect
86. #2595C22semidirect
87. #2595C22semidirect
88. #2593C22semidirect
89. #2593C22semidirect
90. #2592C22semidirect
91. #2592C22semidirect
92. #2589C22semidirect
93. #2589C22semidirect
94. #2575C22semidirect
95. #2575C22semidirect
96. #2570C22semidirect
97. #2568C22semidirect
100. #2563C22semidirect
101. #2563C22semidirect
102. #2563C22semidirect
107. #2562C22semidirect
108. #2562C22semidirect
109. #2562C22semidirect
110. #2562C22semidirect
111. #2562C22semidirect
112. #2562C22semidirect
117. #2557C22semidirect
118. #2557C22semidirect
119. #2548C22semidirect
122. #2547C22semidirect
123. #2547C22semidirect
124. #2547C22semidirect
136. #2517C22semidirect
137. #2517C22semidirect
139. #2516C22semidirect
140. #2516C22semidirect
141. #2516C22semidirect
142. #2513C22semidirect
143. #2511C22semidirect
144. #2504C22semidirect
146. #2503C22semidirect
147. #2502C22semidirect
149. #2501C22semidirect
150. #2500C22semidirect
151. #2500C22semidirect
152. #2499C22semidirect
153. #2499C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2489C22semidirect
161. #2489C22semidirect
164. #2487C22semidirect
165. #2487C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2486C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
183. #2459C22semidirect
184. #2458C22semidirect
185. #2458C22semidirect
186. #2448C22semidirect
190. #2423C22semidirect
191. #2423C22semidirect
192. #2422C22semidirect
193. #2422C22semidirect
194. #2421C22semidirect
195. #2421C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
206. #2374C22semidirect
207. #2374C22semidirect
210. #2367C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2362C22semidirect
216. #2362C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
221. #2357C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2352C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2331C22semidirect
247. #2331C22semidirect
248. #2331C22semidirect
249. #2331C22semidirect
250. #2330C22semidirect
251. #2330C22semidirect
253. #2328C22semidirect
254. #2327C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
275. C4×#125C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#598652
#596782
#596452
#596442
#596432
#595842
#594422
#454332
#452222
#452012
#450722
#450432
#449812
#392662
#392642
#391952
#365212
#355422
#355162
#352272
#351802
#351572
#349462
#349362
#342152
#342082
#342012
#342002
C2×#23522
C4×#5442