Finite Group Databasebeta

← #7650146

Subgroups — #7650146

Order 512.

7004 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic
3#42964C212yesmaximal, complemented
4#42914C212yesmaximal, complemented
5#42814C212yesmaximal, complemented
6#42813C212yesmaximal, complemented
7#42485C212yesmaximal, complemented
8#42482C212yesmaximal, complemented
9#42436C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#40516C214yesmaximal, complemented
12#40495C214yesmaximal, complemented
13#39955C212yesmaximal, complemented
14#39952C212yesmaximal, complemented
15#39890C212yesmaximal, complemented
16#39866C212yesmaximal, complemented
17#39617C212yesmaximal, complemented
18#39592C212yesmaximal, complemented
19#39360C212yesmaximal, complemented
20#39337C212yesmaximal, complemented
21#38359C214yesmaximal, complemented
22#37651C214yesmaximal, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35574C211yesmaximal, characteristic, complemented
25#35566C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35530C211yesmaximal, characteristic, complemented
28#35516C211yesmaximal, characteristic, complemented
29#35275C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35224C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34C2×#2440C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36#3503—216no—
37#3492—216no—
38C2×Q82C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2214yes—
43C2×#554C2212yescomplemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×D4×Q8C2214yes—
49C2×D4×Q8C2212yescomplemented
50C2×#547C2212yes—
51C2×#547C2212yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2211yescharacteristic
55C2×#544C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#539C2214yes—
58C2×#537C2211yescharacteristic
59C2×#536C2214yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C22×C4⋊Q8C2211yescharacteristic
63C22×C4⋊Q8C2212yescomplemented
64C2×#525C2214yes—
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C22×C22⋊Q8C2212yes—
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C23×C4⋊C4C2211yescharacteristic
73#2868C2212yescomplemented
74#2859C2212yescomplemented
75#2855C2212yescomplemented
76#2854C2212yescomplemented
77#2848C2214yes—
78#2822C2214yescomplemented
79#2821C2214yescomplemented
80#2817C2214yescomplemented
81#2814C2214yescomplemented
82#2719C2214yescomplemented
83#2713C2214yescomplemented
84#2713C2214yescomplemented
85#2713C2214yescomplemented
86#2698C2214yescomplemented
87#2698C2214yescomplemented
88#2698C2214yescomplemented
89#2694C2214yes—
90#2690C2214yes—
91#2690C2214yescomplemented
92#2689C2214yescomplemented
93#2687C2214yes—
94#2687C2214yescomplemented
95#2681C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2680C2214yes—
99#2680C2214yes—
100#2680C2214yes—
101#2680C2214yescomplemented
102#2680C2214yescomplemented
103#2680C2214yescomplemented
104#2677C2214yes—
105#2677C2214yes—
106#2677C2214yes—
107#2677C2214yescomplemented
108#2677C2214yescomplemented
109#2677C2214yescomplemented
110#2674C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2672C2214yes—
114#2664C2214yescomplemented
115#2663C2214yescomplemented
116#2660C2214yescomplemented
117#2660C2212yescomplemented
118#2660C2212yescomplemented
119#2638C2214yes—
120#2637C2214yescomplemented
121#2634C2214yescomplemented
122#2633C2214yes—
123#2627C2214yes—
124#2627C2214yescomplemented
125#2625C2212yescomplemented
126#2624C2212yescomplemented
127#2621C2214yes—
128#2621C2214yescomplemented
129#2616C2214yes—
130#2614C2214yescomplemented
131#2611C2214yes—
132#2604C2214yescomplemented
133#2599C2214yes—
134#2584C2212yescomplemented
135#2584C2212yescomplemented
136#2579C2214yes—
137#2567C2212yescomplemented
138#2565C2214yescomplemented
139#2564C2214yes—
140#2563C2212yes—
141#2562C2212yes—
142#2562C2212yes—
143#2552C2212yescomplemented
144#2552C2212yescomplemented
145#2552C2212yescomplemented
146#2551C2212yescomplemented
147#2551C2212yescomplemented
148#2551C2212yescomplemented
149#2550C2212yescomplemented
150#2550C2212yescomplemented
151#2549C2214yes—
152#2547C2212yes—
153#2546C2212yescomplemented
154#2542C2214yes—
155#2536C2214yes—
156#2502C2212yescomplemented
157#2501C2212yescomplemented
158#2500C2212yescomplemented
159#2499C2212yescomplemented
160#2492C2211yescharacteristic
161#2492C2212yes—
162#2492C2211yescharacteristic
163#2491C2211yescharacteristic
164#2491C2212yes—
165#2491C2211yescharacteristic
166#2490C2211yescharacteristic
167#2490C2212yes—
168#2490C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2212yes—
171#2489C2211yescharacteristic
172#2488C2212yes—
173#2488C2214yes—
174#2488C2212yes—
175#2487C2212yes—
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2472C2212yes—
180#2472C2214yes—
181#2472C2212yes—
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2452C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2451C2212yescomplemented
190#2444C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2443C2214yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2442C2212yescomplemented
199#2441C2212yescomplemented
200#2440C2212yes—
201#2440C2214yes—
202#2440C2214yes—
203#2440C2212yes—
204#2440C2214yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yescomplemented
216#2440C2212yescomplemented
217#2440C2212yescomplemented
218#2439C2212yescomplemented
219#2439C2212yescomplemented
220#2439C2212yescomplemented
221#2434C2214yescomplemented
222#2432C2214yes—
223#2423C2211yescharacteristic
224#2423C2212yes—
225#2423C2211yescharacteristic
226#2423C2212yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2211yescharacteristic
230#2422C2211yescharacteristic
231#2422C2212yes—
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2421C2212yes—
236#2421C2211yescharacteristic
237#2421C2211yescharacteristic
238#2421C2212yescomplemented
239#2420C2212yes—
240#2420C2211yescharacteristic
241#2420C2211yescharacteristic
242#2420C2212yescomplemented
243#2419C2212yes—
244#2419C2214yes—
245#2419C2212yes—
246#2418C2212yes—
247#2418C2214yes—
248#2418C2212yes—
249#2417C2214yes—
250#2415C2214yes—
251#2413C2214yescomplemented
252#2409C2214yes—
253#2409C2214yes—
254#2406C2214yes—
255#2398C2212yes—
256#2398C2212yes—
257#2395C2212yes—
258#2395C2212yes—
259C2×#398C2212yes—
260C2×#395C2212yes—
261#2353C2214yes—
262#2352C2214yes—
263#2347C2212yescomplemented
264#2346C2212yescomplemented
265#2345C2212yescomplemented
266#2344C2212yescomplemented
267#2326C2214yes—
268#2323C2214yes—
269#2322C2214yes—
270#2320C2212yescomplemented
271#2319C2212yescomplemented
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2316C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2295C2212yescomplemented
289#2293C2212yescomplemented
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#385C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C23×Q8C2314yes—
305C23×Q8C2312yes—
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308Q82—216no—
309#557—216no—
310#554—216no—
311#554—232no—
312#554—216no—
313#554—216no—
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318D4×Q8—232no—
319D4×Q8—216no—
320#547—216no—
321#547—216no—
322#544—28no—
323#544—28no—
324#544—216no—
325#544—28no—
326#544—216no—
327#539—232no—
328#537—28no—
329#536—416no—
330#533—28no—
331#533—216no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8—216no—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370#525—28no—
371#525—232no—
372#525—28no—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8—48no—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#120C2312yes—
424C2×#120C2312yes—
425#520—28no—
426#520—28no—
427#520D4116yes—
428C4×#41—28no—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2314yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2312yes—
465C2×#117C2311yescharacteristic
466C22×C4⋊C4—28no—
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2314yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2312yes—
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2311yescharacteristic
487C22×C22⋊C4C2312yes—
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491#400C2312yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2312yes—
497#400C2314yes—
498#400C2312yes—
499#400C2312yes—
500#400C2314yes—
501#400C2314yes—
502#400C2312yes—
503#400C2312yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2312yes—
508#399C2314yes—
509#399C2312yes—
510#399C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2312yes—
536#398C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2312yes—
599#393C2314yes—
600#393C2312yes—
601#393C2312yes—
602#393C2312yes—
603#391C2312yes—
604#391C2314yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2314yes—
610#391C2311yescharacteristic
611#391C2314yes—
612#391C2314yes—
613#391C2314yes—
614#391C2314yes—
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2312yes—
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2314yes—
748#384C2314yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2314yes—
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#383C2314yes—
760#382C2314yes—
761#382C2314yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2311yescharacteristic
768#382C2312yes—
769#381C2314yes—
770#381C2314yes—
771#381C2312yes—
772#381C2314yes—
773#381C2312yes—
774#381C2312yes—
775#381C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#379C2312yes—
803#379C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839#376C2312yes—
840#376C2314yes—
841C2×#95C2312yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C2×#95C2312yes—
846C43C2312yes—
847C25C2411yescharacteristic
848C2×#41—24no—
849C2×#41—216no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—48no—
855C2×#41—84no—
856C2×#41C2×D418yes—
857C22×Q8—28no—
858C22×Q8—216no—
859C22×Q8—44no—
860C22×Q8—48no—
861C22×Q8—82no—
862C22×Q8—84no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4—28no—
885C23×C4—44no—
886C23×C4—82no—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C4⋊Q8—28no—
911C4⋊Q8—24no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—216no—
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919C4⋊Q8—24no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—216no—
923C4⋊Q8—28no—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—48no—
927C4⋊Q8—48no—
928C4⋊Q8—84no—
929#126—216no—
930#126—216no—
931#125—24no—
932#125—28no—
933#125—28no—
934#125—24no—
935#125—216no—
936#125—28no—
937#125—28no—
938#125—216no—
939#125—216no—
940#125—28no—
941#125—216no—
942#125—28no—
943#124—28no—
944#124—28no—
945#124—48no—
946#123—28no—
947#123—216no—
948#123—216no—
949#123—28no—
950#123—216no—
951#123—216no—
952#123—28no—
953#123—28no—
954#123—48no—
955#123—48no—
956#123—48no—
957#123—84no—
958C22⋊Q8—24no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—24no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—48no—
980C22⋊Q8—48no—
981C22⋊Q8—48no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—84no—
986C22⋊Q8—84no—
987#121—216no—
988#121—24no—
989#121—24no—
990#121—28no—
991#121—28no—
992#121—24no—
993#121—24no—
994#121—216no—
995#120—28no—
996#120—28no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—216no—
1002C4×Q8—28no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8C2×D4116yes—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4C2×D4132yes—
1021C4×D4C2×D4116yes—
1022#117—28no—
1023#117—24no—
1024#117—24no—
1025#117—28no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—28no—
1030#117—216no—
1031#117—48no—
1032#117C2×D418yes—
1033#117C2×D4116yes—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—216no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—28no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—82no—
1050C2×C4⋊C4C2×D418yes—
1051C2×C4⋊C4C2×D4116yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—24no—
1129C2×C22⋊C4—44no—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C42—28no—
1188C2×C42—24no—
1189C2×C42—24no—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215#95C2414yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279C24—22no—
1280C24—22no—
1281C24—22no—
1282C24—22no—
1283C24—22no—
1284C24—41no—
1285C24—41no—
1286C24C2512yes—
1287C24C2512yes—
1288C24C2511yescharacteristic
1289C24C2511yescharacteristic
1290C24C2511yescharacteristic
1291#41—232no—
1292#41—416no—
1293#41—832no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—28no—
1297C2×Q8—24no—
1298C2×Q8—28no—
1299C2×Q8—28no—
1300C2×Q8—28no—
1301C2×Q8—28no—
1302C2×Q8—28no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—42no—
1310C2×Q8—44no—
1311C2×Q8—42no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—44no—
1320C2×Q8—816no—
1321C2×Q8—832no—
1322C2×Q8C22×D414yes—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4C22×D418yes—
1349C2×D4C22×D414yes—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—28no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—28no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—28no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—41no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—416no—
1414C22×C4—816no—
1415C22×C4C22×D418yes—
1416C22×C4C22×D418yes—
1417C22×C4C22×D4116yes—
1418C22×C4C22×D414yes—
1419C22×C42−1+414yes—
1420C22×C42−1+414yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—42no—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D4116yes—
1525C4⋊C4C22×D414yes—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4C22×D418yes—
1580C22⋊C4C22×D4116yes—
1581C22⋊C4H(5,𝔽2)14yes—
1582C22⋊C42−1+414yes—
1583C42—22no—
1584C42—24no—
1585C42—22no—
1586C42—24no—
1587C42—22no—
1588C42—24no—
1589C42—22no—
1590C42—28no—
1591C42—24no—
1592C42—28no—
1593C42—24no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—42no—
1603C42—44no—
1604C42—44no—
1605C42—42no—
1606C42C22×D4116yes—
1607C42C22×D418yes—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—28no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—21no—
1628C23—21no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23C23×D414yes—
1645C23C23×D412yes—
1646C23C2×H(5,𝔽2)12yes—
1647C23C2×2−1+412yes—
1648C23C2×2−1+412yes—
1649C23C2×2−1+412yes—
1650C23C2611yescharacteristic
1651Q8—28no—
1652Q8—48no—
1653Q8—416no—
1654Q8—48no—
1655Q8—44no—
1656Q8—88no—
1657Q8—88no—
1658Q8—88no—
1659Q8—88no—
1660D4—216no—
1661D4—28no—
1662D4—48no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—44no—
1668D4—88no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—216no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—48no—
1747C2×C4—416no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—416no—
1753C2×C4—44no—
1754C2×C4—48no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—88no—
1762C2×C4—88no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4#536116yescomplemented
1768C2×C4C23×D414yes—
1769C2×C4C23×D418yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D412yes—
1773C2×C4C23×D412yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4C2×2−1+412yes—
1779C2×C4C2×2−1+412yes—
1780C2×C4C2×2−1+412yes—
1781C2×C4C2×2−1+412yes—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—24no—
1790C22—24no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—24no—
1796C22—22no—
1797C22—416no—
1798C22—41no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—42no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22C2×#53614yes—
1818C22C24×D411yescharacteristic
1819C22C22×H(5,𝔽2)11yescharacteristic
1820C22C22×2−1+411yescharacteristic
1821C22C22×2−1+411yescharacteristic
1822C22C22×2−1+411yescharacteristic
1823C22H(7,𝔽2)11yescharacteristic
1824C222−1+611yescharacteristic
1825C4—28no—
1826C4—22no—
1827C4—24no—
1828C4—22no—
1829C4—24no—
1830C4—22no—
1831C4—24no—
1832C4—22no—
1833C4—44no—
1834C4—41no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—44no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—41no—
1848C4—44no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4—41no—
1853C4C2×#53614yes—
1854C4C2×#53614yes—
1855C2—24no—
1856C2—44no—
1857C2—42no—
1858C2—42no—
1859C2—82no—
1860C2C22×#53611yescharacteristic
1861C2#6283311yescharacteristic
1862C2#6287711yescharacteristic
1863C2#6291511yescharacteristic
1864C2#6294511yescharacteristic
1865C2D4×H(5,𝔽2)11yescharacteristic
1866C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3492C2
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×#3503C2semidirect
3. #42964C2semidirect
4. #42914C2semidirect
5. #42814C2semidirect
6. #42813C2semidirect
7. #42485C2semidirect
8. #42482C2semidirect
9. #42436C2semidirect
10. #42423C2semidirect
11. #40516C2semidirect
12. #40495C2semidirect
13. #39955C2semidirect
14. #39952C2semidirect
15. #39890C2semidirect
16. #39866C2semidirect
17. #39617C2semidirect
18. #39592C2semidirect
19. #39360C2semidirect
20. #39337C2semidirect
21. #38359C2semidirect
22. #37651C2semidirect
23. #35575C2semidirect
24. #35574C2semidirect
25. #35566C2semidirect
26. #35542C2semidirect
27. #35530C2semidirect
28. #35516C2semidirect
29. #35275C2semidirect
30. #35255C2semidirect
31. #35224C2semidirect
32. #34813C2semidirect
33. #34742C2semidirect
34. C2×#2440C2semidirect
35. #34253C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
43. C2×#554C22semidirect
49. C2×D4×Q8C22semidirect
55. C2×#544C22semidirect
56. C2×#544C22semidirect
61. C2×#533C22semidirect
63. C22×C4⋊Q8C22semidirect
73. #2868C22semidirect
74. #2859C22semidirect
75. #2855C22semidirect
76. #2854C22semidirect
78. #2822C22semidirect
79. #2821C22semidirect
80. #2817C22semidirect
81. #2814C22semidirect
82. #2719C22semidirect
83. #2713C22semidirect
84. #2713C22semidirect
85. #2713C22semidirect
86. #2698C22semidirect
87. #2698C22semidirect
88. #2698C22semidirect
91. #2690C22semidirect
92. #2689C22semidirect
94. #2687C22semidirect
101. #2680C22semidirect
102. #2680C22semidirect
103. #2680C22semidirect
107. #2677C22semidirect
108. #2677C22semidirect
109. #2677C22semidirect
114. #2664C22semidirect
115. #2663C22semidirect
116. #2660C22semidirect
117. #2660C22semidirect
118. #2660C22semidirect
120. #2637C22semidirect
121. #2634C22semidirect
124. #2627C22semidirect
125. #2625C22semidirect
126. #2624C22semidirect
128. #2621C22semidirect
130. #2614C22semidirect
132. #2604C22semidirect
134. #2584C22semidirect
135. #2584C22semidirect
137. #2567C22semidirect
138. #2565C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2551C22semidirect
147. #2551C22semidirect
148. #2551C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
153. #2546C22semidirect
156. #2502C22semidirect
157. #2501C22semidirect
158. #2500C22semidirect
159. #2499C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
198. #2442C22semidirect
199. #2441C22semidirect
215. #2440C22semidirect
216. #2440C22semidirect
217. #2440C22semidirect
218. #2439C22semidirect
219. #2439C22semidirect
220. #2439C22semidirect
221. #2434C22semidirect
226. #2423C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
238. #2421C22semidirect
242. #2420C22semidirect
251. #2413C22semidirect
263. #2347C22semidirect
264. #2346C22semidirect
265. #2345C22semidirect
266. #2344C22semidirect
270. #2320C22semidirect
271. #2319C22semidirect
288. #2295C22semidirect
289. #2293C22semidirect
1767. C2×C4#536semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
C2×#34922
#429642
#429142
#428142
#428132
#424852
#424822
#424362
#424232
#405162
#404952
#399552
#399522
#398902
#398662
#396172
#395922
#393602
#393372
#383592
#376512
#355752
#355742
#355662
#355422
#355302
#355162
#352752
#352552
#352242
#348132
#347422
C2×#24402
#342532