Finite Group Databasebeta

← #7690779

Subgroups — #7690779

Order 512.

7574 conjugacy classes of subgroups.

The subgroup lattice has 1959 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#59825C214yesmaximal, complemented
4#59810C212yesmaximal, complemented
5#59419C211yesmaximal, characteristic, complemented
6#59411C212yesmaximal, complemented
7#59119C212yesmaximal, complemented
8#59066C211yesmaximal, characteristic, complemented
9#59066C211yesmaximal, characteristic, complemented
10#58999C212yesmaximal, complemented
11#45100C212yesmaximal, complemented
12#44892C212yesmaximal, complemented
13#43927C214yesmaximal, complemented
14#43039C214yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39599C211yesmaximal, characteristic, complemented
18#39440C214yesmaximal, complemented
19#39416C212yesmaximal, complemented
20#39136C211yesmaximal, characteristic, complemented
21#36508C211yesmaximal, characteristic, complemented
22#36471C212yesmaximal, complemented
23#36406C211yesmaximal, characteristic, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36259C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36143C212yesmaximal, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35778C212yesmaximal, complemented
30#35763C212yesmaximal, complemented
31#34919C211yesmaximal, characteristic, complemented
32#34743C212yesmaximal, complemented
33#34308C212yesmaximal, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3517—216no—
37#3506—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#555C2212yes—
44C2×#553C2214yes—
45C2×#553C2214yescomplemented
46C2×#553C2212yescomplemented
47C2×#550C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#550C2211yescharacteristic, complemented
51C2×#550C2212yescomplemented
52C2×#547C2212yes—
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#547C2212yescomplemented
56C2×#547C2212yescomplemented
57C2×#546C2211yescharacteristic
58C2×#540C2212yes—
59C2×#540C2214yescomplemented
60C2×#538C2214yes—
61C2×#535C2212yes—
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic, complemented
65C2×#532C2212yescomplemented
66C2×#529C2212yescomplemented
67C2×#529C2211yescharacteristic, complemented
68C2×#525C2212yes—
69C2×#525C2212yes—
70C2×#525C2212yes—
71C2×#520C2212yes—
72C2×#520C2212yescomplemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76#2862C2211yescharacteristic, complemented
77#2861C2212yes—
78#2857C2211yescharacteristic
79#2857C2212yescomplemented
80#2857C2211yescharacteristic, complemented
81#2855C2212yescomplemented
82#2854C2214yescomplemented
83#2848C2212yes—
84#2727C2214yescomplemented
85#2726C2214yescomplemented
86#2724C2214yescomplemented
87#2717C2214yescomplemented
88#2705C2214yescomplemented
89#2704C2214yes—
90#2701C2214yes—
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2699C2214yes—
95#2699C2214yescomplemented
96#2697C2214yes—
97#2686C2214yescomplemented
98#2682C2214yes—
99#2678C2214yes—
100#2678C2214yes—
101#2673C2214yes—
102#2671C2214yes—
103#2671C2214yescomplemented
104#2669C2214yes—
105#2630C2214yes—
106#2630C2214yescomplemented
107#2629C2212yes—
108#2620C2212yes—
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2584C2212yescomplemented
112#2582C2212yescomplemented
113#2582C2211yescharacteristic, complemented
114#2579C2214yescomplemented
115#2579C2214yescomplemented
116#2565C2212yescomplemented
117#2560C2212yes—
118#2558C2212yescomplemented
119#2555C2214yescomplemented
120#2553C2214yescomplemented
121#2553C2214yescomplemented
122#2553C2214yescomplemented
123#2550C2211yescharacteristic, complemented
124#2546C2211yescharacteristic, complemented
125#2546C2211yescharacteristic, complemented
126#2546C2212yescomplemented
127#2545C2212yes—
128#2545C2211yescharacteristic, complemented
129#2544C2214yescomplemented
130#2543C2214yes—
131#2543C2214yescomplemented
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic, complemented
134#2540C2212yes—
135#2540C2211yescharacteristic
136#2538C2212yescomplemented
137#2538C2212yescomplemented
138#2537C2211yescharacteristic
139#2536C2211yescharacteristic
140#2535C2212yes—
141#2534C2214yes—
142#2521C2214yescomplemented
143#2519C2214yescomplemented
144#2519C2214yescomplemented
145#2519C2212yescomplemented
146#2499C2212yescomplemented
147#2491C2211yescharacteristic, complemented
148#2489C2211yescharacteristic
149#2486C2214yescomplemented
150#2485C2212yescomplemented
151#2478C2214yescomplemented
152#2478C2214yescomplemented
153#2476C2214yescomplemented
154#2474C2214yescomplemented
155#2470C2214yescomplemented
156#2468C2214yescomplemented
157#2466C2214yes—
158#2464C2214yescomplemented
159#2461C2212yes—
160#2459C2214yescomplemented
161#2456C2214yes—
162#2455C2214yes—
163#2455C2214yescomplemented
164#2451C2212yescomplemented
165#2447C2212yes—
166#2447C2214yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yes—
170#2445C2214yescomplemented
171#2445C2212yescomplemented
172#2443C2214yes—
173#2443C2214yescomplemented
174#2443C2214yescomplemented
175#2443C2214yescomplemented
176#2441C2212yescomplemented
177#2432C2212yes—
178#2432C2212yescomplemented
179#2432C2212yescomplemented
180#2432C2212yescomplemented
181#2431C2212yes—
182#2431C2212yescomplemented
183#2429C2212yes—
184#2429C2212yes—
185#2429C2211yescharacteristic, complemented
186#2429C2212yescomplemented
187#2429C2212yescomplemented
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yes—
191#2428C2212yescomplemented
192#2427C2212yes—
193#2427C2212yes—
194#2427C2212yes—
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2211yescharacteristic
199#2426C2212yescomplemented
200#2425C2214yes—
201#2425C2214yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2424C2214yes—
206#2422C2212yes—
207#2422C2212yes—
208#2422C2212yescomplemented
209#2420C2212yes—
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2419C2214yescomplemented
214#2418C2214yes—
215#2418C2214yes—
216#2416C2214yes—
217#2415C2212yes—
218#2415C2212yescomplemented
219#2414C2212yescomplemented
220#2413C2214yescomplemented
221#2413C2214yescomplemented
222#2408C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yescomplemented
228#2396C2212yescomplemented
229#2392C2214yes—
230#2392C2212yes—
231#2392C2214yescomplemented
232#2367C2211yescharacteristic
233#2366C2212yes—
234#2366C2211yescharacteristic, complemented
235#2365C2212yescomplemented
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2363C2214yescomplemented
239#2363C2212yescomplemented
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2361C2214yes—
244#2361C2212yes—
245#2360C2211yescharacteristic
246#2360C2212yescomplemented
247#2360C2212yescomplemented
248#2359C2214yes—
249#2359C2212yes—
250#2359C2214yescomplemented
251#2358C2212yes—
252#2354C2211yescharacteristic
253#2354C2212yescomplemented
254#2352C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic, complemented
256#2349C2211yescharacteristic
257#2349C2214yescomplemented
258#2349C2212yescomplemented
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yescomplemented
261D4×C4⋊C4C2212yescomplemented
262#2344C2214yescomplemented
263#2342C2212yes—
264#2341C2212yescomplemented
265#2339C2212yes—
266#2339C2211yescharacteristic
267#2339C2212yescomplemented
268#2339C2212yescomplemented
269#2339C2212yescomplemented
270D4×C22⋊C4C2211yescharacteristic
271#2323C2212yes—
272#2323C2212yescomplemented
273#2322C2214yes—
274#2322C2214yescomplemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic
279C4×#124C2212yescomplemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yes—
284C4×#121C2214yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2214yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2214yescomplemented
291C4×#120C2212yes—
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2212yes—
295C2×#389C2214yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2212yescomplemented
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#559—216no—
311#559—216no—
312#557—28no—
313#556—28no—
314#556—28no—
315#555—216no—
316#553—232no—
317#553—232no—
318#553—216no—
319#550—28no—
320#550—216no—
321#550—28no—
322#550—216no—
323#550D4116yescomplemented
324#547—216no—
325#547—216no—
326#547—216no—
327#547—28no—
328#547—48no—
329#546—28no—
330#540—216no—
331#540—232no—
332#538—232no—
333#535—216no—
334#533—28no—
335#532—216no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×#127C2314yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350#529—216no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370#525—216no—
371#525—216no—
372#525—48no—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#120C2312yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434#520—216no—
435#520—216no—
436C4×#41—28no—
437C4×#41—48no—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—28no—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2314yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2314yes—
506C22×C4⋊C4C2314yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2314yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2312yes—
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2314yes—
517C22×C42C2312yes—
518#400C2312yes—
519#399C2312yes—
520#399C2314yes—
521#399C2314yes—
522#399C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#397C2312yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#396C2312yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#395C2314yes—
561#395C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#393C2312yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2312yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2314yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#384C2312yes—
764#384C2311yescharacteristic
765#384C2312yes—
766#384C2312yes—
767#382C2311yescharacteristic
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2311yescharacteristic
772#381C2314yes—
773#381C2314yes—
774#381C2312yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#379C2314yes—
797#379C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C43C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41C2×D4116yes—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4—42no—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C23×C4—28no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C4⋊Q8—28no—
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—44no—
937#127—28no—
938#127—28no—
939#127—216no—
940#127C2×D418yes—
941#127C2×D4116yes—
942#126—28no—
943#126—216no—
944#126—216no—
945#126—216no—
946#125—24no—
947#125—28no—
948#125—216no—
949#125—28no—
950#124—24no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—28no—
958#124—44no—
959#124—42no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—28no—
967#123—28no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—48no—
973#123—48no—
974#123—48no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8#4118yescomplemented
990#121—28no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—216no—
995#121—28no—
996#121—216no—
997#121—216no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—216no—
1002#121—216no—
1003#121—28no—
1004#121—216no—
1005#121—24no—
1006#121—24no—
1007#121—28no—
1008#121—24no—
1009#121—216no—
1010#121—216no—
1011#121—48no—
1012#121—48no—
1013#121—44no—
1014#121—44no—
1015#121C2×D4116yes—
1016#121C2×D4132yes—
1017#120—216no—
1018#120—216no—
1019#120—28no—
1020#120—48no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—42no—
1031C4×Q8—44no—
1032C4×Q8C2×D418yes—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—216no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—216no—
1047C4×D4—216no—
1048C4×D4—216no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—216no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—42no—
1063C4×D4—48no—
1064C4×D4—48no—
1065C4×D4—44no—
1066C4×D4—42no—
1067C4×D4—44no—
1068C4×D4—48no—
1069C4×D4—44no—
1070C4×D4—48no—
1071C4×D4—42no—
1072C4×D4—44no—
1073C4×D4—48no—
1074C4×D4C2×D418yes—
1075C4×D4C2×D4116yes—
1076#117—28no—
1077#117—24no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—216no—
1082#117—216no—
1083#117—28no—
1084#117—28no—
1085#117—48no—
1086C2×C4⋊C4—216no—
1087C2×C4⋊C4—216no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—216no—
1091C2×C4⋊C4—48no—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—44no—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C42—28no—
1225C2×C42—24no—
1226C2×C42—24no—
1227C2×C42—48no—
1228C2×C42—44no—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2412yes—
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2411yescharacteristic
1277#95C2412yes—
1278#95C2414yes—
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310C24—24no—
1311C24—24no—
1312C24—42no—
1313C24—42no—
1314C24—42no—
1315C24—42no—
1316C24—42no—
1317C24C2512yes—
1318C24C2512yes—
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2514yes—
1322C24C2511yescharacteristic
1323#41—432no—
1324#41—432no—
1325#41—416no—
1326#41—432no—
1327#41—816no—
1328#41—816no—
1329#41—816no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8C22×D414yes—
1347C2×Q8C2×#4114yes—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—416no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4C22×D414yes—
1410C2×D4C22×D418yes—
1411C2×D4C22×D418yes—
1412C2×D4C22×D4116yes—
1413C2×D4C22×D418yes—
1414C2×D4C22×D4116yes—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—28no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—28no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—816no—
1485C22×C4C22×D418yes—
1486C22×C4C22×D4116yes—
1487C22×C4C2×#4114yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—22no—
1523C4⋊C4—28no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—28no—
1545C4⋊C4—28no—
1546C4⋊C4—22no—
1547C4⋊C4—28no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—41no—
1563C4⋊C4—41no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D414yes—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C2×#4118yes—
1575C4⋊C4C2×#4114yes—
1576C4⋊C4H(5,𝔽2)14yes—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—22no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—24no—
1617C22⋊C4—22no—
1618C22⋊C4—24no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—41no—
1625C22⋊C4—41no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4C22×D418yes—
1644C22⋊C4C22×D4116yes—
1645C22⋊C4C2×#4118yes—
1646C42—22no—
1647C42—24no—
1648C42—22no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—24no—
1655C42—28no—
1656C42—28no—
1657C42—28no—
1658C42—24no—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—22no—
1663C42—28no—
1664C42—24no—
1665C42—22no—
1666C42—22no—
1667C42—24no—
1668C42—22no—
1669C42—42no—
1670C42—42no—
1671C42—44no—
1672C42—42no—
1673C42—41no—
1674C42—42no—
1675C42C22×D414yes—
1676C42C22×D418yes—
1677C23—21no—
1678C23—24no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—21no—
1683C23—21no—
1684C23—22no—
1685C23—24no—
1686C23—21no—
1687C23—24no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—24no—
1692C23—22no—
1693C23—24no—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—48no—
1717C23—48no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23C23×D414yes—
1724C23C23×D418yes—
1725C23C22×#4112yes—
1726C23C2611yescharacteristic
1727Q8—28no—
1728Q8—28no—
1729Q8—48no—
1730Q8—44no—
1731Q8—48no—
1732Q8—84no—
1733D4—28no—
1734D4—216no—
1735D4—216no—
1736D4—48no—
1737D4—416no—
1738D4—416no—
1739D4—48no—
1740D4—48no—
1741D4—416no—
1742D4—48no—
1743D4—416no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—88no—
1753D4—88no—
1754D4—88no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—28no—
1774C2×C4—216no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—24no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—416no—
1830C2×C4—416no—
1831C2×C4—416no—
1832C2×C4—416no—
1833C2×C4—48no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—48no—
1838C2×C4—44no—
1839C2×C4—84no—
1840C2×C4—82no—
1841C2×C4—82no—
1842C2×C4—84no—
1843C2×C4—88no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—88no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—88no—
1850C2×C4—88no—
1851C2×C4C23×D414yes—
1852C2×C4C23×D414yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C22×#4114yes—
1858C2×C4C22×#4112yes—
1859C2×C4C22×#4114yes—
1860C2×C4C22×#4112yes—
1861C2×C4C2×H(5,𝔽2)14yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4#58512yes—
1864C2×C4#58512yes—
1865C2×C4#58512yes—
1866C22—22no—
1867C22—24no—
1868C22—28no—
1869C22—24no—
1870C22—28no—
1871C22—22no—
1872C22—22no—
1873C22—28no—
1874C22—24no—
1875C22—44no—
1876C22—42no—
1877C22—41no—
1878C22—44no—
1879C22—42no—
1880C22—41no—
1881C22—41no—
1882C22—44no—
1883C22—42no—
1884C22—44no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—41no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—42no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—816no—
1909C22C24×D411yescharacteristic
1910C22C23×#4111yescharacteristic
1911C22C22×H(5,𝔽2)11yescharacteristic
1912C22C2×#58511yescharacteristic
1913C22C2×#58511yescharacteristic
1914C22C2×#58511yescharacteristic
1915C222−1+611yescharacteristic
1916C4—24no—
1917C4—24no—
1918C4—22no—
1919C4—24no—
1920C4—22no—
1921C4—24no—
1922C4—24no—
1923C4—22no—
1924C4—24no—
1925C4—41no—
1926C4—41no—
1927C4—42no—
1928C4—41no—
1929C4—42no—
1930C4—42no—
1931C4—44no—
1932C4—41no—
1933C4—42no—
1934C4—41no—
1935C4—44no—
1936C4—42no—
1937C4—42no—
1938C4—41no—
1939C4—41no—
1940C4—42no—
1941C4—44no—
1942C4—41no—
1943C4D4×#4114yes—
1944C4#349614yes—
1945C2—48no—
1946C2—44no—
1947C2—42no—
1948C2—82no—
1949C2—81no—
1950C2—82no—
1951C2C2×D4×#4111yescharacteristic
1952C2C2×#349611yescharacteristic
1953C2#6279311yescharacteristic
1954C2#6296711yescharacteristic
1955C2#6298511yescharacteristic
1956C2#6298811yescharacteristic
1957C2#6301911yescharacteristic
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. C2×#3517C2semidirect
2. C2×#3506C2semidirect
3. #59825C2semidirect
4. #59810C2semidirect
5. #59419C2semidirect
6. #59411C2semidirect
7. #59119C2semidirect
8. #59066C2semidirect
9. #59066C2semidirect
10. #58999C2semidirect
11. #45100C2semidirect
12. #44892C2semidirect
13. #43927C2semidirect
14. #43039C2semidirect
15. #39889C2semidirect
16. #39884C2semidirect
17. #39599C2semidirect
18. #39440C2semidirect
19. #39416C2semidirect
20. #39136C2semidirect
21. #36508C2semidirect
22. #36471C2semidirect
23. #36406C2semidirect
24. #36405C2semidirect
25. #36259C2semidirect
26. #36149C2semidirect
27. #36143C2semidirect
28. #36100C2semidirect
29. #35778C2semidirect
30. #35763C2semidirect
31. #34919C2semidirect
32. #34743C2semidirect
33. #34308C2semidirect
34. C4×#550C2semidirect
35. C4×#546C2semidirect
40. C2×#557C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
50. C2×#550C22semidirect
51. C2×#550C22semidirect
55. C2×#547C22semidirect
56. C2×#547C22semidirect
59. C2×#540C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
72. C2×#520C22semidirect
74. C2×C4×#41C22semidirect
76. #2862C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2855C22semidirect
82. #2854C22semidirect
84. #2727C22semidirect
85. #2726C22semidirect
86. #2724C22semidirect
87. #2717C22semidirect
88. #2705C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
95. #2699C22semidirect
97. #2686C22semidirect
103. #2671C22semidirect
106. #2630C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2584C22semidirect
112. #2582C22semidirect
113. #2582C22semidirect
114. #2579C22semidirect
115. #2579C22semidirect
116. #2565C22semidirect
118. #2558C22semidirect
119. #2555C22semidirect
120. #2553C22semidirect
121. #2553C22semidirect
122. #2553C22semidirect
123. #2550C22semidirect
124. #2546C22semidirect
125. #2546C22semidirect
126. #2546C22semidirect
128. #2545C22semidirect
129. #2544C22semidirect
131. #2543C22semidirect
133. #2542C22semidirect
136. #2538C22semidirect
137. #2538C22semidirect
142. #2521C22semidirect
143. #2519C22semidirect
144. #2519C22semidirect
145. #2519C22semidirect
146. #2499C22semidirect
147. #2491C22semidirect
149. #2486C22semidirect
150. #2485C22semidirect
151. #2478C22semidirect
152. #2478C22semidirect
153. #2476C22semidirect
154. #2474C22semidirect
155. #2470C22semidirect
156. #2468C22semidirect
158. #2464C22semidirect
160. #2459C22semidirect
163. #2455C22semidirect
164. #2451C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
173. #2443C22semidirect
174. #2443C22semidirect
175. #2443C22semidirect
176. #2441C22semidirect
178. #2432C22semidirect
179. #2432C22semidirect
180. #2432C22semidirect
182. #2431C22semidirect
185. #2429C22semidirect
186. #2429C22semidirect
187. #2429C22semidirect
191. #2428C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
199. #2426C22semidirect
201. #2425C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
208. #2422C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2419C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2413C22semidirect
221. #2413C22semidirect
227. #2407C22semidirect
228. #2396C22semidirect
231. #2392C22semidirect
234. #2366C22semidirect
235. #2365C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
250. #2359C22semidirect
253. #2354C22semidirect
255. Q8×C4⋊C4C22semidirect
257. #2349C22semidirect
258. #2349C22semidirect
260. D4×C4⋊C4C22semidirect
261. D4×C4⋊C4C22semidirect
262. #2344C22semidirect
264. #2341C22semidirect
267. #2339C22semidirect
268. #2339C22semidirect
269. #2339C22semidirect
272. #2323C22semidirect
274. #2322C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
295. C2×#389C22semidirect
296. C42×Q8C22semidirect
299. C42×D4C22semidirect
323. #550D4semidirect
989. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#35062
#598252
#598102
#594192
#594112
#591192
#590662
#589992
#451002
#448922
#439272
#430392
#398892
#398842
#395992
#394402
#394162
#391362
#365082
#364712
#364062
#364052
#362592
#361492
#361432
#361002
#357782
#357632
#349192
#347432
#343082
C4×#5502
C4×#5462