Finite Group Databasebeta

← #7690710

Subgroups — #7690710

Order 512.

6217 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59754C212yesmaximal, complemented
2#59750C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59646C211yesmaximal, characteristic, complemented
5#59429C211yesmaximal, characteristic, complemented
6#59394C212yesmaximal, complemented
7#59173C214yesmaximal, complemented
8#59117C212yesmaximal, complemented
9#45367C212yesmaximal, complemented
10#44957C212yesmaximal, complemented
11#44282C214yesmaximal, complemented
12#43440C214yesmaximal, complemented
13#40414C214yesmaximal, complemented
14#40164C212yesmaximal, complemented
15#40053C212yesmaximal, complemented
16#39818C212yesmaximal, complemented
17#39361C211yesmaximal, characteristic, complemented
18#38953C211yesmaximal, characteristic, complemented
19#36595C211yesmaximal, characteristic, complemented
20#36529C212yesmaximal, complemented
21#36463C211yesmaximal, characteristic, complemented
22#36412C211yesmaximal, characteristic, complemented
23#36369C212yesmaximal, complemented
24#36300C211yesmaximal, characteristic, complemented
25#36128C211yesmaximal, characteristic, complemented
26#36101C212yesmaximal, complemented
27#35785C212yesmaximal, complemented
28#35704C212yesmaximal, complemented
29#34893C211yesmaximal, characteristic, complemented
30#34681C212yesmaximal, complemented
31#34321C211yesmaximal, characteristic, complemented
32#34313C211yesmaximal, characteristic, complemented
33#34265C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×#555C2211yescharacteristic
39C2×#553C2212yescomplemented
40C2×#550C2211yescharacteristic
41C2×#550C2212yescomplemented
42C2×D42C2211yescharacteristic
43C2×#535C2212yes—
44C2×#532C2212yescomplemented
45C2×#525C2214yescomplemented
46C2×#520C2212yescomplemented
47C22×C4×D4C2212yes—
48C22×C4×D4C2212yes—
49#2867C2211yescharacteristic
50#2860C2212yescomplemented
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic, complemented
53#2856C2212yescomplemented
54#2856C2212yescomplemented
55#2854C2212yescomplemented
56#2847C2214yescomplemented
57#2803C2214yescomplemented
58#2803C2214yescomplemented
59#2797C2214yescomplemented
60#2788C2214yescomplemented
61#2756C2214yescomplemented
62#2753C2214yescomplemented
63#2749C2214yescomplemented
64#2714C2214yescomplemented
65#2714C2214yescomplemented
66#2703C2214yescomplemented
67#2701C2214yescomplemented
68#2697C2214yescomplemented
69#2688C2214yescomplemented
70#2685C2214yescomplemented
71#2678C2214yescomplemented
72#2671C2214yescomplemented
73#2670C2214yes—
74#2670C2214yes—
75#2670C2214yescomplemented
76#2669C2214yes—
77#2669C2214yes—
78#2648C2214yescomplemented
79#2635C2214yescomplemented
80#2619C2212yes—
81#2619C2212yes—
82#2602C2214yescomplemented
83#2602C2214yescomplemented
84#2595C2214yescomplemented
85#2593C2214yescomplemented
86#2591C2214yescomplemented
87#2589C2212yescomplemented
88#2587C2212yescomplemented
89#2584C2211yescharacteristic, complemented
90#2581C2212yescomplemented
91#2580C2211yescharacteristic
92#2578C2214yescomplemented
93#2570C2212yescomplemented
94#2567C2211yescharacteristic, complemented
95#2566C2211yescharacteristic
96#2563C2211yescharacteristic
97#2559C2214yescomplemented
98#2557C2214yescomplemented
99#2555C2214yescomplemented
100#2555C2214yescomplemented
101#2555C2214yescomplemented
102#2554C2214yescomplemented
103#2550C2211yescharacteristic, complemented
104#2548C2211yescharacteristic
105#2548C2212yescomplemented
106#2548C2212yescomplemented
107#2548C2212yescomplemented
108#2548C2212yescomplemented
109#2548C2212yescomplemented
110#2544C2212yescomplemented
111#2544C2212yescomplemented
112#2541C2212yes—
113#2541C2211yescharacteristic
114#2541C2211yescharacteristic
115#2541C2211yescharacteristic, complemented
116#2541C2212yescomplemented
117#2539C2214yescomplemented
118#2538C2212yes—
119#2535C2212yescomplemented
120#2534C2214yescomplemented
121#2522C2212yescomplemented
122#2521C2214yescomplemented
123#2521C2214yescomplemented
124#2518C2214yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2512C2212yescomplemented
130#2509C2211yescharacteristic, complemented
131#2507C2211yescharacteristic, complemented
132#2500C2212yes—
133#2500C2212yescomplemented
134#2500C2212yescomplemented
135#2497C2212yescomplemented
136#2497C2212yescomplemented
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2476C2214yescomplemented
140#2476C2214yescomplemented
141#2474C2214yescomplemented
142#2474C2214yescomplemented
143#2472C2214yescomplemented
144#2468C2214yescomplemented
145#2467C2214yescomplemented
146#2467C2214yescomplemented
147#2465C2212yescomplemented
148#2465C2214yescomplemented
149#2464C2214yescomplemented
150#2464C2214yescomplemented
151#2461C2214yescomplemented
152#2461C2214yescomplemented
153#2459C2214yescomplemented
154#2459C2214yescomplemented
155#2456C2214yescomplemented
156#2456C2214yescomplemented
157#2456C2214yescomplemented
158#2456C2214yescomplemented
159#2456C2214yescomplemented
160#2456C2214yescomplemented
161#2454C2211yescharacteristic
162#2454C2212yescomplemented
163#2452C2211yescharacteristic
164#2448C2212yescomplemented
165#2445C2212yes—
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2445C2212yescomplemented
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2440C2212yescomplemented
173#2433C2212yes—
174#2433C2212yes—
175#2433C2212yes—
176#2433C2212yes—
177#2431C2212yes—
178#2431C2214yescomplemented
179#2431C2212yescomplemented
180#2428C2212yes—
181#2428C2212yes—
182#2428C2212yes—
183#2428C2212yes—
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2422C2212yescomplemented
191#2420C2212yescomplemented
192#2416C2212yescomplemented
193#2414C2212yes—
194#2414C2212yes—
195#2414C2214yescomplemented
196#2414C2212yescomplemented
197#2408C2212yes—
198#2408C2212yes—
199#2407C2214yescomplemented
200#2406C2214yescomplemented
201#2396C2212yescomplemented
202#2396C2212yescomplemented
203#2392C2214yescomplemented
204#2388C2214yescomplemented
205#2374C2214yescomplemented
206#2374C2212yescomplemented
207#2374C2212yescomplemented
208#2369C2211yescharacteristic, complemented
209#2367C2212yes—
210#2367C2211yescharacteristic
211#2367C2214yescomplemented
212#2367C2212yescomplemented
213#2367C2212yescomplemented
214#2367C2211yescharacteristic, complemented
215#2367C2212yescomplemented
216#2366C2211yescharacteristic
217#2366C2212yes—
218#2366C2212yes—
219#2366C2211yescharacteristic
220#2366C2212yes—
221#2366C2212yescomplemented
222#2366C2211yescharacteristic, complemented
223#2366C2212yescomplemented
224#2366C2212yescomplemented
225#2363C2212yes—
226#2363C2212yescomplemented
227#2363C2212yescomplemented
228#2363C2214yescomplemented
229#2363C2212yescomplemented
230#2363C2214yescomplemented
231#2361C2212yes—
232#2361C2212yes—
233#2361C2214yescomplemented
234#2361C2212yescomplemented
235#2361C2212yescomplemented
236#2361C2214yescomplemented
237#2361C2214yescomplemented
238#2358C2214yes—
239#2357C2211yescharacteristic
240#2357C2212yescomplemented
241#2357C2211yescharacteristic, complemented
242#2357C2212yescomplemented
243#2355C2211yescharacteristic, complemented
244#2355C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2354C2211yescharacteristic, complemented
247Q8×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2212yescomplemented
251#2347C2212yescomplemented
252#2347C2212yescomplemented
253#2345C2212yescomplemented
254#2341C2212yescomplemented
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2337C2214yescomplemented
258#2324C2212yescomplemented
259#2324C2214yescomplemented
260#2324C2212yescomplemented
261#2321C2214yescomplemented
262#2321C2214yescomplemented
263#2309C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic, complemented
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yescomplemented
282C4×#120C2214yes—
283C4×#120C2214yescomplemented
284C4×#120C2214yescomplemented
285#2297C2212yescomplemented
286#2296C2212yescomplemented
287#2296C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2314yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C24×C4C2314yes—
304#559—28no—
305#559—48no—
306#555—28no—
307#553—48no—
308#550—28no—
309#550—48no—
310D42—28no—
311#535—216no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343#525—416no—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383#520—48no—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×D4—48no—
394C2×C4×D4—48no—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2314yes—
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2314yes—
445C22×C42C2312yes—
446C22×C42C2312yes—
447C22×C42C2312yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2312yes—
452#399C2312yes—
453#399C2312yes—
454#399C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
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#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2314yes—
532#391C2311yescharacteristic
533#391C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2311yescharacteristic
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
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#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#383C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#381C2312yes—
736#381C2312yes—
737#381C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C43C2311yescharacteristic
823C25C2414yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—48no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—48no—
867C23×C4—48no—
868C23×C4—48no—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887#127—28no—
888#127—28no—
889#127—24no—
890#127—28no—
891#127—24no—
892#127—24no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—82no—
900#126—48no—
901#126—84no—
902#125—24no—
903#125—42no—
904#124—28no—
905#124—24no—
906#124—216no—
907#124—28no—
908#124—44no—
909#124—44no—
910#124—48no—
911#124—48no—
912#124—82no—
913#124—82no—
914#124#4118yescomplemented
915#123—216no—
916#123—28no—
917#123—28no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922C22⋊Q8—28no—
923C22⋊Q8—48no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—216no—
931#121—216no—
932#121—216no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—48no—
944#121—44no—
945#121—84no—
946#121—84no—
947#120—216no—
948#120—216no—
949#120—216no—
950#120—48no—
951#120—48no—
952#120—84no—
953#120—84no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×D4—24no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—24no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—48no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—48no—
991C4×D4—48no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4#4118yescomplemented
1001#117—28no—
1002#117—28no—
1003#117—28no—
1004#117—44no—
1005#117—48no—
1006#117—48no—
1007#117—44no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—28no—
1010C2×C4⋊C4—48no—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4—48no—
1068C2×C22⋊C4—48no—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42—44no—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2414yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232C24—28no—
1233C24—28no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24C2514yes—
1240C24C2512yes—
1241C24C2514yes—
1242C24C2512yes—
1243C24C2512yes—
1244#41—432no—
1245#41—832no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—41no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8C2×#4114yes—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—432no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—432no—
1336C2×D4C2×#4114yes—
1337C2×D4C2×#4114yes—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—832no—
1386C22×C4C2×#4118yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2514yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4C2×#4114yes—
1470C4⋊C4H(5,𝔽2)14yes—
1471C4⋊C4H(5,𝔽2)14yes—
1472C4⋊C4H(5,𝔽2)14yes—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4C2×#4118yes—
1540C22⋊C4C2×#4118yes—
1541C22⋊C4C2×#4118yes—
1542C42—28no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—24no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—41no—
1576C42—41no—
1577C42—42no—
1578C42—41no—
1579C42C2×#4114yes—
1580C42C2×#4114yes—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—22no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—416no—
1615C23—416no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—88no—
1620C23—88no—
1621C23C22×#4114yes—
1622C23C22×#4114yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—44no—
1626Q8—48no—
1627Q8—84no—
1628D4—28no—
1629D4—28no—
1630D4—48no—
1631D4—416no—
1632D4—416no—
1633D4—416no—
1634D4—44no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—216no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—416no—
1732C2×C4—416no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—164no—
1744C2×C4C22×#4114yes—
1745C2×C4C22×#4114yes—
1746C2×C4C22×#4112yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4112yes—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4112yes—
1751C2×C4C22×#4112yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)14yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)14yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4#58512yes—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—44no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—42no—
1790C22—44no—
1791C22—44no—
1792C22—44no—
1793C22—44no—
1794C22—42no—
1795C22—832no—
1796C22C23×#4111yescharacteristic
1797C22C23×#4111yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—24no—
1807C4—24no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—24no—
1812C4—24no—
1813C4—42no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—44no—
1819C4—44no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4#348114yes—
1832C4#350614yes—
1833C2—44no—
1834C2—44no—
1835C2—82no—
1836C2—84no—
1837C2—84no—
1838C2C2×#348111yescharacteristic
1839C2C2×#350611yescharacteristic
1840C2#6280011yescharacteristic
1841C2#6292311yescharacteristic
1842C2#6298611yescharacteristic
1843C2#6298611yescharacteristic
1844C2#6301111yescharacteristic
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. #59754C2semidirect
2. #59750C2semidirect
3. #59680C2semidirect
4. #59646C2semidirect
5. #59429C2semidirect
6. #59394C2semidirect
7. #59173C2semidirect
8. #59117C2semidirect
9. #45367C2semidirect
10. #44957C2semidirect
11. #44282C2semidirect
12. #43440C2semidirect
13. #40414C2semidirect
14. #40164C2semidirect
15. #40053C2semidirect
16. #39818C2semidirect
17. #39361C2semidirect
18. #38953C2semidirect
19. #36595C2semidirect
20. #36529C2semidirect
21. #36463C2semidirect
22. #36412C2semidirect
23. #36369C2semidirect
24. #36300C2semidirect
25. #36128C2semidirect
26. #36101C2semidirect
27. #35785C2semidirect
28. #35704C2semidirect
29. #34893C2semidirect
30. #34681C2semidirect
31. #34321C2semidirect
32. #34313C2semidirect
33. #34265C2semidirect
34. C4×#559C2semidirect
35. C4×D42C2semidirect
37. C2×#559C22semidirect
39. C2×#553C22semidirect
41. C2×#550C22semidirect
44. C2×#532C22semidirect
45. C2×#525C22semidirect
46. C2×#520C22semidirect
50. #2860C22semidirect
52. #2858C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2847C22semidirect
57. #2803C22semidirect
58. #2803C22semidirect
59. #2797C22semidirect
60. #2788C22semidirect
61. #2756C22semidirect
62. #2753C22semidirect
63. #2749C22semidirect
64. #2714C22semidirect
65. #2714C22semidirect
66. #2703C22semidirect
67. #2701C22semidirect
68. #2697C22semidirect
69. #2688C22semidirect
70. #2685C22semidirect
71. #2678C22semidirect
72. #2671C22semidirect
75. #2670C22semidirect
78. #2648C22semidirect
79. #2635C22semidirect
82. #2602C22semidirect
83. #2602C22semidirect
84. #2595C22semidirect
85. #2593C22semidirect
86. #2591C22semidirect
87. #2589C22semidirect
88. #2587C22semidirect
89. #2584C22semidirect
90. #2581C22semidirect
92. #2578C22semidirect
93. #2570C22semidirect
94. #2567C22semidirect
97. #2559C22semidirect
98. #2557C22semidirect
99. #2555C22semidirect
100. #2555C22semidirect
101. #2555C22semidirect
102. #2554C22semidirect
103. #2550C22semidirect
105. #2548C22semidirect
106. #2548C22semidirect
107. #2548C22semidirect
108. #2548C22semidirect
109. #2548C22semidirect
110. #2544C22semidirect
111. #2544C22semidirect
115. #2541C22semidirect
116. #2541C22semidirect
117. #2539C22semidirect
119. #2535C22semidirect
120. #2534C22semidirect
121. #2522C22semidirect
122. #2521C22semidirect
123. #2521C22semidirect
124. #2518C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2512C22semidirect
130. #2509C22semidirect
131. #2507C22semidirect
133. #2500C22semidirect
134. #2500C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
139. #2476C22semidirect
140. #2476C22semidirect
141. #2474C22semidirect
142. #2474C22semidirect
143. #2472C22semidirect
144. #2468C22semidirect
145. #2467C22semidirect
146. #2467C22semidirect
147. #2465C22semidirect
148. #2465C22semidirect
149. #2464C22semidirect
150. #2464C22semidirect
151. #2461C22semidirect
152. #2461C22semidirect
153. #2459C22semidirect
154. #2459C22semidirect
155. #2456C22semidirect
156. #2456C22semidirect
157. #2456C22semidirect
158. #2456C22semidirect
159. #2456C22semidirect
160. #2456C22semidirect
162. #2454C22semidirect
164. #2448C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2440C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2422C22semidirect
191. #2420C22semidirect
192. #2416C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
199. #2407C22semidirect
200. #2406C22semidirect
201. #2396C22semidirect
202. #2396C22semidirect
203. #2392C22semidirect
204. #2388C22semidirect
205. #2374C22semidirect
206. #2374C22semidirect
207. #2374C22semidirect
208. #2369C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
214. #2367C22semidirect
215. #2367C22semidirect
221. #2366C22semidirect
222. #2366C22semidirect
223. #2366C22semidirect
224. #2366C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2363C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
240. #2357C22semidirect
241. #2357C22semidirect
242. #2357C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. Q8×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. #2347C22semidirect
252. #2347C22semidirect
253. #2345C22semidirect
254. #2341C22semidirect
257. #2337C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
260. #2324C22semidirect
261. #2321C22semidirect
262. #2321C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
281. C4×#121C22semidirect
283. C4×#120C22semidirect
284. C4×#120C22semidirect
285. #2297C22semidirect
286. #2296C22semidirect
287. #2296C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
914. #124#41semidirect
1000. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#597542
#597502
#596802
#596462
#594292
#593942
#591732
#591172
#453672
#449572
#442822
#434402
#404142
#401642
#400532
#398182
#393612
#389532
#365952
#365292
#364632
#364122
#363692
#363002
#361282
#361012
#357852
#357042
#348932
#346812
#343212
#343132
#342652
C4×#5592
C4×D422