Finite Group Databasebeta

← #7647881

Subgroups — #7647881

Order 512.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1991 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42301C214yesmaximal, complemented
4#42299C214yesmaximal, complemented
5#40533C214yesmaximal, complemented
6#40530C214yesmaximal, complemented
7#39718C212yesmaximal, complemented
8#39591C212yesmaximal, complemented
9#38914C212yesmaximal, complemented
10#38903C212yesmaximal, complemented
11#38051C212yesmaximal, complemented
12#38049C212yesmaximal, complemented
13#38035C212yesmaximal, complemented
14#38033C212yesmaximal, complemented
15#37640C211yesmaximal, characteristic, complemented
16#37622C211yesmaximal, characteristic, complemented
17#37621C211yesmaximal, characteristic, complemented
18#37620C211yesmaximal, characteristic, complemented
19#37379C212yesmaximal, complemented
20#37376C212yesmaximal, complemented
21#37281C212yesmaximal, complemented
22#37272C212yesmaximal, complemented
23#35635C212yesmaximal, complemented
24#35569C212yesmaximal, complemented
25#35309C212yesmaximal, complemented
26#35280C211yesmaximal, characteristic, complemented
27#35258C212yesmaximal, complemented
28#35247C211yesmaximal, characteristic, complemented
29#35247C211yesmaximal, characteristic, complemented
30#35189C211yesmaximal, characteristic, complemented
31#35189C211yesmaximal, characteristic, complemented
32#35179C211yesmaximal, characteristic, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34952C211yesmaximal, characteristic, complemented
35#34188C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2211yescharacteristic
38C2×#559C2212yes—
39C2×#557C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2211yescharacteristic
46C2×#550C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic
49#3461—216no—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2211yescharacteristic
54C2×#541C2211yescharacteristic
55C2×#541C2212yes—
56C2×#541C2211yescharacteristic
57C2×#539C2212yes—
58C2×#539C2212yes—
59C2×#537C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#533C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2212yes—
74C2×#529C2211yescharacteristic
75C2×#529C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2212yes—
80C2×C4×#41C2211yescharacteristic
81C22×C4×Q8C2211yescharacteristic
82C22×C4×Q8C2211yescharacteristic
83#2857C2212yes—
84#2857C2212yes—
85#2855C2212yes—
86#2855C2212yes—
87#2855C2212yes—
88#2855C2212yes—
89#2854C2212yes—
90#2854C2212yes—
91#2851C2212yes—
92#2851C2212yes—
93#2850C2212yes—
94#2850C2212yes—
95#2823C2214yes—
96#2820C2214yes—
97#2814C2214yes—
98#2813C2214yes—
99#2734C2214yes—
100#2731C2214yes—
101#2730C2214yes—
102#2729C2214yes—
103#2723C2214yes—
104#2721C2214yes—
105#2720C2214yes—
106#2718C2214yes—
107#2717C2214yes—
108#2713C2214yes—
109#2710C2214yes—
110#2709C2214yes—
111#2706C2214yes—
112#2703C2214yes—
113#2701C2214yes—
114#2701C2214yes—
115#2700C2214yes—
116#2699C2214yes—
117#2696C2214yes—
118#2692C2214yes—
119#2690C2214yes—
120#2689C2214yes—
121#2688C2214yes—
122#2686C2214yes—
123#2686C2214yes—
124#2686C2214yes—
125#2682C2214yes—
126#2680C2214yes—
127#2674C2214yes—
128#2673C2214yes—
129#2672C2214yes—
130#2671C2214yes—
131#2664C2214yes—
132#2662C2214yes—
133#2637C2214yes—
134#2637C2214yes—
135#2630C2214yes—
136#2630C2214yes—
137#2629C2214yes—
138#2629C2212yes—
139#2629C2212yes—
140#2628C2212yes—
141#2628C2212yes—
142#2627C2214yes—
143#2625C2212yes—
144#2624C2212yes—
145#2624C2212yes—
146#2624C2212yes—
147#2621C2212yes—
148#2620C2212yes—
149#2620C2214yes—
150#2620C2212yes—
151#2619C2212yes—
152#2618C2214yes—
153#2616C2212yes—
154#2616C2212yes—
155#2616C2212yes—
156#2615C2212yes—
157#2609C2214yes—
158#2601C2214yes—
159#2601C2214yes—
160#2592C2212yes—
161#2592C2212yes—
162#2592C2212yes—
163#2584C2212yes—
164#2584C2212yes—
165#2584C2212yes—
166#2582C2211yescharacteristic
167#2582C2211yescharacteristic
168#2582C2211yescharacteristic
169#2582C2211yescharacteristic
170#2582C2211yescharacteristic
171#2582C2212yes—
172#2582C2211yescharacteristic
173#2581C2212yes—
174#2581C2212yes—
175#2581C2212yes—
176#2580C2212yes—
177#2579C2214yes—
178#2568C2212yes—
179#2567C2212yes—
180#2567C2212yes—
181#2565C2214yes—
182#2562C2212yes—
183#2560C2214yes—
184#2559C2214yes—
185#2558C2214yes—
186#2557C2214yes—
187#2556C2214yes—
188#2556C2214yes—
189#2555C2214yes—
190#2553C2214yes—
191#2548C2212yes—
192#2547C2212yes—
193#2542C2212yes—
194#2540C2212yes—
195#2538C2211yescharacteristic
196#2538C2211yescharacteristic
197#2538C2211yescharacteristic
198#2538C2211yescharacteristic
199#2538C2212yes—
200#2538C2211yescharacteristic
201#2538C2211yescharacteristic
202#2538C2211yescharacteristic
203#2538C2211yescharacteristic
204#2537C2211yescharacteristic
205#2537C2211yescharacteristic
206#2521C2214yes—
207#2521C2214yes—
208#2519C2214yes—
209#2512C2214yes—
210#2506C2214yes—
211#2496C2214yes—
212#2487C2212yes—
213#2486C2212yes—
214#2486C2212yes—
215#2485C2212yes—
216#2485C2212yes—
217#2485C2212yes—
218#2485C2212yes—
219#2469C2214yes—
220#2468C2214yes—
221#2468C2214yes—
222#2467C2214yes—
223#2466C2214yes—
224#2466C2214yes—
225#2465C2214yes—
226#2463C2214yes—
227#2462C2214yes—
228#2462C2214yes—
229#2461C2214yes—
230#2461C2214yes—
231#2460C2214yes—
232#2460C2214yes—
233#2459C2214yes—
234#2457C2214yes—
235#2455C2214yes—
236#2422C2214yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2214yes—
241#2417C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yes—
252#2413C2214yes—
253#2413C2214yes—
254#2409C2212yes—
255#2409C2212yes—
256#2409C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2396C2214yes—
262#2392C2214yes—
263#2355C2212yes—
264#2355C2212yes—
265#2354C2212yes—
266#2354C2212yes—
267#2352C2212yes—
268#2352C2212yes—
269#2352C2212yes—
270#2352C2212yes—
271#2324C2212yes—
272#2324C2212yes—
273#2323C2212yes—
274#2323C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2317C2212yes—
280#2316C2212yes—
281#2314C2212yes—
282#2314C2212yes—
283#2311C2212yes—
284#2311C2212yes—
285#2310C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293#2296C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2285C2211yescharacteristic
299C2×#384C2211yescharacteristic
300#2274C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308#559—28no—
309#559—216no—
310#557—28no—
311#556—216no—
312#556—28no—
313#553—28no—
314#553—28no—
315#553—216no—
316#553—216no—
317#550—28no—
318#548—28no—
319#548—28no—
320#544—28no—
321#542—216no—
322#542—28no—
323#542—28no—
324#541—216no—
325#541—28no—
326#541—28no—
327#539—216no—
328#539—216no—
329#537—28no—
330#536—28no—
331#536—28no—
332#533—216no—
333#533—28no—
334#533—28no—
335#532—216no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347#529—216no—
348#529—216no—
349#529—216no—
350#529—216no—
351#529—216no—
352#529—28no—
353#529—28no—
354#529—28no—
355#529—28no—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#125C2312yes—
381C2×#125C2312yes—
382C2×#125C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#124C2314yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2314yes—
411C2×#123C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2314yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2314yes—
461C4×#41—216no—
462C4×#41—28no—
463C4×#41—28no—
464C4×#41—28no—
465C4×#41D4116yescomplemented
466C2×C4×Q8—28no—
467C2×C4×Q8—28no—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2312yes—
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2311yescharacteristic
489C2×C4×Q8C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2311yescharacteristic
531C2×#117C2311yescharacteristic
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2312yes—
536C2×#117C2312yes—
537C2×#117C2311yescharacteristic
538C2×#117C2311yescharacteristic
539C2×#117C2311yescharacteristic
540C22×C4⋊C4C2311yescharacteristic
541C22×C4⋊C4C2312yes—
542C22×C4⋊C4C2312yes—
543C22×C4⋊C4C2311yescharacteristic
544C22×C4⋊C4C2312yes—
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2312yes—
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2312yes—
551C22×C42C2312yes—
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554C22×C42C2311yescharacteristic
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#400C2314yes—
560#399C2314yes—
561#399C2314yes—
562#399C2314yes—
563#399C2314yes—
564#399C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#395C2314yes—
608#395C2314yes—
609#395C2314yes—
610#395C2314yes—
611#395C2314yes—
612#395C2314yes—
613#395C2314yes—
614#395C2314yes—
615#395C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#393C2314yes—
640#393C2314yes—
641#393C2314yes—
642#393C2314yes—
643#393C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#391C2314yes—
652#391C2314yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2314yes—
659#391C2314yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2314yes—
668#390C2314yes—
669#390C2312yes—
670#390C2312yes—
671#390C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2314yes—
694#389C2314yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#389C2312yes—
709#389C2314yes—
710#389C2312yes—
711#389C2314yes—
712#389C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#384C2314yes—
790#384C2314yes—
791#384C2312yes—
792#384C2312yes—
793#384C2311yescharacteristic
794#384C2311yescharacteristic
795#384C2312yes—
796#384C2311yescharacteristic
797#384C2311yescharacteristic
798#382C2312yes—
799#382C2314yes—
800#382C2312yes—
801#382C2312yes—
802#382C2312yes—
803#382C2312yes—
804#381C2314yes—
805#381C2314yes—
806#381C2314yes—
807#381C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2314yes—
828#380C2312yes—
829#380C2312yes—
830#380C2312yes—
831#380C2312yes—
832#380C2312yes—
833#380C2312yes—
834#380C2314yes—
835#380C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2312yes—
847C4×C4⋊C4C2314yes—
848C4×C4⋊C4C2314yes—
849C4×C4⋊C4C2314yes—
850C4×C4⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—42no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—42no—
871C2×#41C2×D418yes—
872C22×Q8—24no—
873C22×Q8—24no—
874C22×Q8—24no—
875C22×Q8—42no—
876C22×Q8—42no—
877C22×Q8—42no—
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×Q8C2412yes—
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—28no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939#127—28no—
940#127—24no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—28no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—24no—
963#125—24no—
964#125—24no—
965#125—24no—
966#125—28no—
967#125—28no—
968#124—28no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—24no—
976#124—24no—
977#124—24no—
978#124—24no—
979#124—28no—
980#124—84no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—84no—
996#123—84no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—44no—
1018C22⋊Q8—44no—
1019C22⋊Q8—44no—
1020C22⋊Q8—44no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023C22⋊Q8—44no—
1024C22⋊Q8—84no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121—84no—
1046C4×Q8—28no—
1047C4×Q8—28no—
1048C4×Q8—24no—
1049C4×Q8—28no—
1050C4×Q8—24no—
1051C4×Q8—28no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—28no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8—28no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—28no—
1065C4×Q8—28no—
1066C4×Q8C2×D418yes—
1067C4×Q8C2×D418yes—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—28no—
1091C4×D4—84no—
1092C4×D4C2×D418yes—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D418yes—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098#117—24no—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—44no—
1111#117—44no—
1112#117—44no—
1113#117—82no—
1114#117—82no—
1115#117C2×D418yes—
1116#117C2×D418yes—
1117#117C2×D418yes—
1118C2×C4⋊C4—24no—
1119C2×C4⋊C4—28no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—24no—
1122C2×C4⋊C4—44no—
1123C2×C4⋊C4—44no—
1124C2×C4⋊C4—82no—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2414yes—
1198C2×C4⋊C4C2414yes—
1199C2×C4⋊C4C2411yescharacteristic
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C22⋊C4C2411yescharacteristic
1263C2×C22⋊C4C2411yescharacteristic
1264C2×C22⋊C4C2411yescharacteristic
1265C2×C22⋊C4C2411yescharacteristic
1266C2×C22⋊C4C2411yescharacteristic
1267C2×C42—28no—
1268C2×C42—28no—
1269C2×C42—28no—
1270C2×C42—28no—
1271C2×C42—28no—
1272C2×C42C2×D418yes—
1273C2×C42C2×D418yes—
1274C2×C42C2×D418yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2414yes—
1292C2×C42C2414yes—
1293C2×C42C2414yes—
1294C2×C42C2414yes—
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304C2×C42C2411yescharacteristic
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343C24C2512yes—
1344C24C2512yes—
1345C24C2512yes—
1346C24C2511yescharacteristic
1347C24C2511yescharacteristic
1348C24C2511yescharacteristic
1349#41—416no—
1350#41—416no—
1351#41—416no—
1352#41—416no—
1353#41—432no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—24no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—42no—
1380C2×Q8—42no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—42no—
1384C2×Q8—42no—
1385C2×Q8—416no—
1386C2×Q8—416no—
1387C2×Q8C22×D414yes—
1388C2×Q82−1+414yes—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4C22×D414yes—
1444C2×D4C22×D414yes—
1445C2×D4C22×D414yes—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4C22×D414yes—
1507C22×C4C22×D414yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D414yes—
1510C22×C4C22×D414yes—
1511C22×C4C22×D414yes—
1512C22×C4C22×D414yes—
1513C22×C4C22×D414yes—
1514C22×C4C22×D414yes—
1515C22×C4C2514yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2514yes—
1519C22×C4C2514yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4C22×D414yes—
1619C4⋊C4C22×D414yes—
1620C4⋊C4C22×D414yes—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D414yes—
1623C4⋊C4C22×D414yes—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—28no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4C22×D414yes—
1681C22⋊C4C22×D414yes—
1682C22⋊C4C22×D414yes—
1683C22⋊C4C22×D414yes—
1684C22⋊C4C22×D414yes—
1685C22⋊C4C22×D414yes—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—24no—
1693C42—24no—
1694C42—24no—
1695C42—24no—
1696C42—24no—
1697C42—24no—
1698C42—24no—
1699C42—24no—
1700C42—24no—
1701C42—44no—
1702C42—44no—
1703C42—44no—
1704C42—44no—
1705C42—44no—
1706C42C22×D414yes—
1707C42C22×D414yes—
1708C42C22×D414yes—
1709C42C22×D414yes—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C22×D414yes—
1713C42C22×D414yes—
1714C42C22×D414yes—
1715C42C22×D414yes—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23C23×D412yes—
1756C23C23×D412yes—
1757C23C23×D412yes—
1758C23C2611yescharacteristic
1759Q8—28no—
1760Q8—44no—
1761Q8—48no—
1762Q8—48no—
1763Q8—48no—
1764Q8—44no—
1765Q8—44no—
1766Q8—44no—
1767Q8—44no—
1768Q8—84no—
1769Q8—84no—
1770D4—44no—
1771D4—44no—
1772D4—44no—
1773D4—48no—
1774D4—48no—
1775D4—48no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—44no—
1780D4—44no—
1781D4—44no—
1782D4—84no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—88no—
1788D4—164no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—28no—
1812C2×C4—28no—
1813C2×C4—28no—
1814C2×C4—28no—
1815C2×C4—28no—
1816C2×C4—28no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—48no—
1871C2×C4—48no—
1872C2×C4—48no—
1873C2×C4—48no—
1874C2×C4—48no—
1875C2×C4—48no—
1876C2×C4—84no—
1877C2×C4—84no—
1878C2×C4—84no—
1879C2×C4—84no—
1880C2×C4—84no—
1881C2×C4—164no—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D412yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D412yes—
1888C2×C4C23×D412yes—
1889C2×C4C23×D412yes—
1890C2×C4C23×D412yes—
1891C2×C4C23×D412yes—
1892C2×C4C23×D412yes—
1893C2×C4C23×D412yes—
1894C2×C4C2×2−1+414yes—
1895C2×C4C2×2−1+412yes—
1896C2×C4#58512yes—
1897C2×C4#58512yes—
1898C2×C4#58512yes—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22C24×D411yescharacteristic
1942C22C22×2−1+411yescharacteristic
1943C22C2×#58511yescharacteristic
1944C22C2×#58511yescharacteristic
1945C22C2×#58511yescharacteristic
1946C22H(7,𝔽2)11yescharacteristic
1947C222−1+611yescharacteristic
1948C4—22no—
1949C4—22no—
1950C4—22no—
1951C4—24no—
1952C4—22no—
1953C4—22no—
1954C4—22no—
1955C4—22no—
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—42no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4—44no—
1972C4—44no—
1973C4—44no—
1974C4—44no—
1975C4#344914yes—
1976C4#348914yes—
1977C2—42no—
1978C2—42no—
1979C2—42no—
1980C2—82no—
1981C2—82no—
1982C2—82no—
1983C2C2×#344911yescharacteristic
1984C2C2×#348911yescharacteristic
1985C2#6285311yescharacteristic
1986C2#6295211yescharacteristic
1987C2#6295311yescharacteristic
1988C2#6296811yescharacteristic
1989C2#6296911yescharacteristic
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×#3480C2semidirect
2. C2×#3461C2semidirect
3. #42301C2semidirect
4. #42299C2semidirect
5. #40533C2semidirect
6. #40530C2semidirect
7. #39718C2semidirect
8. #39591C2semidirect
9. #38914C2semidirect
10. #38903C2semidirect
11. #38051C2semidirect
12. #38049C2semidirect
13. #38035C2semidirect
14. #38033C2semidirect
15. #37640C2semidirect
16. #37622C2semidirect
17. #37621C2semidirect
18. #37620C2semidirect
19. #37379C2semidirect
20. #37376C2semidirect
21. #37281C2semidirect
22. #37272C2semidirect
23. #35635C2semidirect
24. #35569C2semidirect
25. #35309C2semidirect
26. #35280C2semidirect
27. #35258C2semidirect
28. #35247C2semidirect
29. #35247C2semidirect
30. #35189C2semidirect
31. #35189C2semidirect
32. #35179C2semidirect
33. #34976C2semidirect
34. #34952C2semidirect
35. #34188C2semidirect
465. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34612
#423012
#422992
#405332
#405302
#397182
#395912
#389142
#389032
#380512
#380492
#380352
#380332
#376402
#376222
#376212
#376202
#373792
#373762
#372812
#372722
#356352
#355692
#353092
#352802
#352582
#352472
#351892
#351792
#349762
#349522
#341882