Finite Group Databasebeta

← #7732063

Subgroups — #7732063

Order 512.

6963 conjugacy classes of subgroups.

The subgroup lattice has 1996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#49555C214yesmaximal, complemented
4#47839C214yesmaximal, complemented
5#47768C214yesmaximal, complemented
6#47690C214yesmaximal, complemented
7#45096C212yesmaximal, complemented
8#45092C212yesmaximal, complemented
9#45004C212yesmaximal, complemented
10#44899C212yesmaximal, complemented
11#39470C211yesmaximal, characteristic, complemented
12#39469C211yesmaximal, characteristic, complemented
13#38922C211yesmaximal, characteristic, complemented
14#38921C211yesmaximal, characteristic, complemented
15#38051C212yesmaximal, complemented
16#38041C212yesmaximal, complemented
17#37844C212yesmaximal, complemented
18#37839C212yesmaximal, complemented
19#37764C212yesmaximal, complemented
20#37748C212yesmaximal, complemented
21#37711C212yesmaximal, complemented
22#37691C212yesmaximal, complemented
23#37632C211yesmaximal, characteristic, complemented
24#37272C212yesmaximal, complemented
25#37268C212yesmaximal, complemented
26#36411C211yesmaximal, characteristic, complemented
27#36275C211yesmaximal, characteristic, complemented
28#36160C211yesmaximal, characteristic, complemented
29#36154C211yesmaximal, characteristic, complemented
30#35517C212yesmaximal, complemented
31#35516C212yesmaximal, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34367C211yesmaximal, characteristic, complemented
36#3511—216no—
37C2×#556C2212yescomplemented
38C2×#555C2211yescharacteristic
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2212yes—
43C2×#553C2212yescomplemented
44C2×#548C2214yescomplemented
45C2×#547C2212yescomplemented
46#3460—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#542C2212yes—
51C2×#542C2214yescomplemented
52C2×#540C2211yescharacteristic
53C2×#540C2212yes—
54C2×#540C2211yescharacteristic
55C2×#538C2212yes—
56C2×#538C2212yes—
57C2×#537C2211yescharacteristic
58C2×#537C2212yescomplemented
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#532C2211yescharacteristic
63C2×#532C2212yes—
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#525C2212yes—
71C2×#525C2212yes—
72C2×#520C2212yescomplemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2857C2211yescharacteristic, complemented
80#2857C2211yescharacteristic, complemented
81#2855C2212yescomplemented
82#2854C2212yescomplemented
83#2851C2212yescomplemented
84#2850C2212yes—
85#2848C2212yes—
86#2847C2212yes—
87#2821C2214yescomplemented
88#2732C2214yes—
89#2730C2214yescomplemented
90#2729C2214yescomplemented
91#2728C2214yescomplemented
92#2723C2214yescomplemented
93#2720C2214yescomplemented
94#2718C2214yescomplemented
95#2718C2214yescomplemented
96#2717C2214yescomplemented
97#2715C2214yescomplemented
98#2712C2214yescomplemented
99#2710C2214yes—
100#2708C2214yescomplemented
101#2706C2214yescomplemented
102#2703C2214yes—
103#2701C2214yescomplemented
104#2700C2214yescomplemented
105#2699C2214yescomplemented
106#2698C2214yescomplemented
107#2698C2214yescomplemented
108#2696C2214yescomplemented
109#2692C2214yes—
110#2689C2214yescomplemented
111#2688C2214yes—
112#2688C2214yes—
113#2686C2214yes—
114#2686C2214yescomplemented
115#2686C2214yescomplemented
116#2685C2214yes—
117#2684C2214yes—
118#2682C2214yescomplemented
119#2681C2214yescomplemented
120#2680C2214yescomplemented
121#2678C2214yes—
122#2676C2214yescomplemented
123#2673C2214yes—
124#2672C2214yescomplemented
125#2671C2214yescomplemented
126#2671C2214yescomplemented
127#2668C2214yes—
128#2660C2212yescomplemented
129#2640C2212yes—
130#2630C2214yescomplemented
131#2628C2212yes—
132#2628C2212yescomplemented
133#2628C2212yescomplemented
134#2628C2212yescomplemented
135#2625C2212yescomplemented
136#2624C2212yescomplemented
137#2616C2212yescomplemented
138#2615C2212yescomplemented
139#2614C2214yescomplemented
140#2601C2214yescomplemented
141#2600C2212yes—
142#2600C2212yescomplemented
143#2599C2212yescomplemented
144#2598C2212yes—
145#2582C2211yescharacteristic, complemented
146#2581C2211yescharacteristic, complemented
147#2580C2211yescharacteristic, complemented
148#2568C2212yescomplemented
149#2567C2211yescharacteristic, complemented
150#2567C2211yescharacteristic, complemented
151#2567C2212yescomplemented
152#2563C2211yescharacteristic
153#2563C2211yescharacteristic
154#2563C2212yes—
155#2559C2214yes—
156#2553C2214yescomplemented
157#2552C2212yescomplemented
158#2550C2212yescomplemented
159#2542C2212yes—
160#2539C2214yes—
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic, complemented
163#2537C2212yes—
164#2537C2211yescharacteristic
165#2536C2211yescharacteristic
166#2535C2211yescharacteristic
167#2535C2212yescomplemented
168#2521C2214yes—
169#2503C2212yescomplemented
170#2501C2212yes—
171#2501C2214yescomplemented
172#2496C2214yescomplemented
173#2490C2212yes—
174#2489C2212yescomplemented
175#2488C2214yescomplemented
176#2488C2214yescomplemented
177#2487C2212yes—
178#2487C2212yes—
179#2487C2212yes—
180#2487C2212yescomplemented
181#2486C2212yescomplemented
182#2486C2212yescomplemented
183#2486C2212yescomplemented
184#2486C2212yescomplemented
185#2485C2212yes—
186#2485C2212yes—
187#2485C2211yescharacteristic
188#2485C2212yescomplemented
189#2485C2212yescomplemented
190#2485C2211yescharacteristic, complemented
191#2485C2212yescomplemented
192#2474C2214yescomplemented
193#2472C2214yes—
194#2469C2214yescomplemented
195#2465C2214yes—
196#2462C2214yescomplemented
197#2461C2214yes—
198#2459C2214yes—
199#2458C2214yescomplemented
200#2454C2212yes—
201#2453C2212yescomplemented
202#2450C2214yes—
203#2449C2214yes—
204#2448C2214yescomplemented
205#2447C2212yes—
206#2447C2214yescomplemented
207#2446C2214yescomplemented
208#2445C2212yes—
209#2445C2214yes—
210#2444C2214yes—
211#2444C2214yescomplemented
212#2443C2214yescomplemented
213#2443C2214yescomplemented
214#2442C2212yes—
215#2441C2212yes—
216#2441C2212yescomplemented
217#2439C2212yescomplemented
218#2438C2214yescomplemented
219#2437C2214yes—
220#2430C2214yes—
221#2430C2214yescomplemented
222#2428C2212yes—
223#2427C2212yes—
224#2423C2214yes—
225#2422C2212yes—
226#2422C2212yescomplemented
227#2422C2214yescomplemented
228#2421C2214yescomplemented
229#2420C2214yes—
230#2420C2212yes—
231#2420C2212yescomplemented
232#2419C2214yescomplemented
233#2419C2214yescomplemented
234#2418C2214yes—
235#2418C2214yes—
236#2417C2212yes—
237#2417C2212yes—
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2409C2212yes—
249#2409C2212yescomplemented
250#2408C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2407C2211yescharacteristic, complemented
254#2407C2212yescomplemented
255#2406C2214yescomplemented
256#2404C2214yes—
257#2395C2212yescomplemented
258#2388C2212yes—
259#2377C2214yescomplemented
260#2363C2212yes—
261#2363C2212yes—
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2354C2211yescharacteristic
265#2354C2212yes—
266#2354C2211yescharacteristic, complemented
267#2352C2212yes—
268#2352C2212yescomplemented
269#2352C2212yescomplemented
270#2349C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2212yescomplemented
274#2339C2212yes—
275D4×C22⋊C4C2212yes—
276#2337C2214yescomplemented
277#2331C2212yescomplemented
278#2328C2212yes—
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284#2311C2212yes—
285#2311C2212yescomplemented
286#2311C2212yescomplemented
287#2311C2212yescomplemented
288#2311C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic, complemented
293#2296C2212yescomplemented
294C2×#389C2212yescomplemented
295#2290C2212yes—
296#2290C2212yescomplemented
297#2285C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299#2280C2212yes—
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#556—216no—
311#555—28no—
312#555—28no—
313#554—28no—
314#554—28no—
315#553—216no—
316#553—216no—
317#548—232no—
318#547—216no—
319#544—28no—
320#542—28no—
321#542—216no—
322#542—232no—
323#542—28no—
324#540—28no—
325#540—28no—
326#540—216no—
327#538—216no—
328#538—216no—
329#537—216no—
330#537—28no—
331#535—28no—
332#535—28no—
333#533—216no—
334#532—216no—
335#532—216no—
336#532—28no—
337#532D4116yescomplemented
338C2×C4⋊Q8—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2311yescharacteristic
350#529—216no—
351#529—28no—
352#529—28no—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#124C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374#525—216no—
375#525—216no—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447#520—216no—
448C4×#41—28no—
449C4×#41—28no—
450C4×#41—28no—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2314yes—
458C2×C4×Q8C2314yes—
459C2×C4×D4—28no—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2314yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2314yes—
519C22×C42C2312yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2312yes—
529#400C2314yes—
530#400C2314yes—
531#400C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2312yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2312yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#393C2314yes—
604#393C2314yes—
605#393C2314yes—
606#393C2314yes—
607#393C2312yes—
608#393C2314yes—
609#393C2314yes—
610#393C2314yes—
611#392C2312yes—
612#392C2312yes—
613#392C2312yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#391C2314yes—
621#391C2314yes—
622#391C2314yes—
623#391C2314yes—
624#391C2314yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2311yescharacteristic
633#391C2311yescharacteristic
634#391C2312yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2314yes—
662#389C2314yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#387C2314yes—
705#387C2312yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#384C2314yes—
773#384C2312yes—
774#384C2312yes—
775#384C2314yes—
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#383C2312yes—
779#382C2314yes—
780#382C2312yes—
781#382C2312yes—
782#382C2314yes—
783#382C2311yescharacteristic
784#382C2311yescharacteristic
785#382C2312yes—
786#381C2314yes—
787#381C2312yes—
788#381C2314yes—
789#381C2314yes—
790#381C2314yes—
791#381C2314yes—
792#381C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2311yescharacteristic
807#380C2312yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#379C2314yes—
828#379C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848#376C2312yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—216no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—84no—
868C2×#41—84no—
869C2×#41C2×D4116yes—
870C22×Q8—28no—
871C22×Q8—82no—
872C22×Q8—82no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—42no—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C4⋊Q8—28no—
938C4⋊Q8—24no—
939C4⋊Q8—28no—
940C4⋊Q8—28no—
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8C2×D418yes—
945#127—28no—
946#127—24no—
947#127C2×D418yes—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—216no—
952#126—216no—
953#126—28no—
954#125—28no—
955#125—24no—
956#125—28no—
957#125—28no—
958#125—24no—
959#124—28no—
960#124—24no—
961#124—28no—
962#124—216no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—216no—
967#124—24no—
968#124C2×D4116yes—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—84no—
980#123—84no—
981#123—84no—
982#123—84no—
983#123—84no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—216no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—216no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—216no—
996C22⋊Q8—216no—
997C22⋊Q8—42no—
998C22⋊Q8—44no—
999C22⋊Q8—42no—
1000C22⋊Q8—44no—
1001C22⋊Q8—82no—
1002C22⋊Q8—82no—
1003C22⋊Q8—82no—
1004C22⋊Q8—82no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—216no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—216no—
1019#121—216no—
1020#121—24no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—42no—
1027#121—44no—
1028#121—42no—
1029#121—44no—
1030#121—84no—
1031#121—84no—
1032#121C2×D418yes—
1033#121C2×D418yes—
1034#121C2×D4116yes—
1035#120—28no—
1036#120—28no—
1037#120—28no—
1038#120—28no—
1039#120—84no—
1040C4×Q8—216no—
1041C4×Q8—24no—
1042C4×Q8—216no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—44no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4C2×D418yes—
1079C4×D4C2×D418yes—
1080C4×D4C2×D4116yes—
1081#117—24no—
1082#117—24no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—24no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—44no—
1095#117—44no—
1096#117—44no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—44no—
1103C2×C4⋊C4—44no—
1104C2×C4⋊C4—84no—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2412yes—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—84no—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C42—28no—
1241C2×C42—24no—
1242C2×C42—24no—
1243C2×C42—28no—
1244C2×C42C2×D418yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—24no—
1317C24—24no—
1318C24—42no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—42no—
1323C24C2512yes—
1324C24C2512yes—
1325C24C2511yescharacteristic
1326C24C2512yes—
1327C24C2511yescharacteristic
1328C24C2512yes—
1329C24C2511yescharacteristic
1330#41—432no—
1331#41—416no—
1332#41—416no—
1333#41—416no—
1334#41—816no—
1335#41—832no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—28no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—41no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—42no—
1357C2×Q8—42no—
1358C2×Q8—42no—
1359C2×Q8—816no—
1360C2×Q8C22×D418yes—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—416no—
1392C2×D4—42no—
1393C2×D4—41no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—41no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4C22×D414yes—
1432C2×D4C22×D414yes—
1433C2×D4C22×D418yes—
1434C2×D4C22×D418yes—
1435C2×D4C22×D418yes—
1436C2×D4C22×D418yes—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—28no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
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×C4—816no—
1507C22×C4C22×D418yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D414yes—
1510C22×C4C22×D418yes—
1511C22×C4C22×D414yes—
1512C22×C42−1+414yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2514yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2514yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2514yes—
1528C22×C4C2514yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—28no—
1572C4⋊C4—28no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D414yes—
1604C4⋊C4C22×D418yes—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—22no—
1624C22⋊C4—22no—
1625C22⋊C4—22no—
1626C22⋊C4—22no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4C22×D418yes—
1671C22⋊C4C22×D418yes—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—24no—
1678C42—22no—
1679C42—24no—
1680C42—24no—
1681C42—22no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—22no—
1686C42—28no—
1687C42—28no—
1688C42—24no—
1689C42—24no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C23—21no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—21no—
1730C23—21no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—21no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—48no—
1743C23—48no—
1744C23—84no—
1745C23—84no—
1746C23—84no—
1747C23—84no—
1748C23—84no—
1749C23C23×D414yes—
1750C23C23×D414yes—
1751C23C23×D412yes—
1752C23C2×2−1+412yes—
1753C23C2611yescharacteristic
1754Q8—48no—
1755Q8—44no—
1756Q8—416no—
1757Q8—44no—
1758Q8—44no—
1759Q8—84no—
1760Q8—84no—
1761Q8—84no—
1762D4—28no—
1763D4—28no—
1764D4—48no—
1765D4—48no—
1766D4—48no—
1767D4—48no—
1768D4—48no—
1769D4—44no—
1770D4—44no—
1771D4—44no—
1772D4—48no—
1773D4—48no—
1774D4—44no—
1775D4—44no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—84no—
1780D4—84no—
1781D4—84no—
1782D4—84no—
1783D4—88no—
1784D4—88no—
1785D4—84no—
1786D4—164no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—216no—
1802C2×C4—28no—
1803C2×C4—216no—
1804C2×C4—28no—
1805C2×C4—28no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—48no—
1867C2×C4—44no—
1868C2×C4—48no—
1869C2×C4—44no—
1870C2×C4—48no—
1871C2×C4—44no—
1872C2×C4—82no—
1873C2×C4—82no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—84no—
1877C2×C4—84no—
1878C2×C4—88no—
1879C2×C4—88no—
1880C2×C4—88no—
1881C2×C4—88no—
1882C2×C4—164no—
1883C2×C4C23×D414yes—
1884C2×C4C23×D412yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D414yes—
1888C2×C4C23×D412yes—
1889C2×C4C23×D412yes—
1890C2×C4C23×D412yes—
1891C2×C4C2×2−1+412yes—
1892C2×C4C2×2−1+412yes—
1893C2×C4#58512yes—
1894C2×C4#58512yes—
1895C2×C4#58512yes—
1896C22—24no—
1897C22—22no—
1898C22—24no—
1899C22—22no—
1900C22—22no—
1901C22—24no—
1902C22—24no—
1903C22—22no—
1904C22—24no—
1905C22—24no—
1906C22—22no—
1907C22—22no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—41no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22—41no—
1924C22—42no—
1925C22—42no—
1926C22—41no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—816no—
1946C22C24×D411yescharacteristic
1947C22C22×2−1+411yescharacteristic
1948C22C2×#58511yescharacteristic
1949C22C2×#58511yescharacteristic
1950C22C2×#58511yescharacteristic
1951C22H(7,𝔽2)11yescharacteristic
1952C22H(7,𝔽2)11yescharacteristic
1953C4—22no—
1954C4—24no—
1955C4—24no—
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—41no—
1964C4—42no—
1965C4—41no—
1966C4—42no—
1967C4—42no—
1968C4—41no—
1969C4—44no—
1970C4—44no—
1971C4—41no—
1972C4—42no—
1973C4—42no—
1974C4—42no—
1975C4—44no—
1976C4—42no—
1977C4—42no—
1978C4—44no—
1979C4#348514yes—
1980C4#348914yes—
1981C2—42no—
1982C2—44no—
1983C2—44no—
1984C2—42no—
1985C2—82no—
1986C2—81no—
1987C2—82no—
1988C2C2×#348511yescharacteristic
1989C2C2×#348911yescharacteristic
1990C2#6285211yescharacteristic
1991C2#6292611yescharacteristic
1992C2#6292911yescharacteristic
1993C2#6293711yescharacteristic
1994C2#6293811yescharacteristic
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×#3511C2semidirect
2. C2×#3460C2semidirect
3. #49555C2semidirect
4. #47839C2semidirect
5. #47768C2semidirect
6. #47690C2semidirect
7. #45096C2semidirect
8. #45092C2semidirect
9. #45004C2semidirect
10. #44899C2semidirect
11. #39470C2semidirect
12. #39469C2semidirect
13. #38922C2semidirect
14. #38921C2semidirect
15. #38051C2semidirect
16. #38041C2semidirect
17. #37844C2semidirect
18. #37839C2semidirect
19. #37764C2semidirect
20. #37748C2semidirect
21. #37711C2semidirect
22. #37691C2semidirect
23. #37632C2semidirect
24. #37272C2semidirect
25. #37268C2semidirect
26. #36411C2semidirect
27. #36275C2semidirect
28. #36160C2semidirect
29. #36154C2semidirect
30. #35517C2semidirect
31. #35516C2semidirect
32. #35279C2semidirect
33. #35189C2semidirect
34. #34909C2semidirect
35. #34367C2semidirect
37. C2×#556C22semidirect
39. C2×#555C22semidirect
41. C2×#554C22semidirect
43. C2×#553C22semidirect
44. C2×#548C22semidirect
45. C2×#547C22semidirect
51. C2×#542C22semidirect
58. C2×#537C22semidirect
61. C2×#533C22semidirect
66. C22×C4⋊Q8C22semidirect
72. C2×#520C22semidirect
75. C2×C4×#41C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2855C22semidirect
82. #2854C22semidirect
83. #2851C22semidirect
87. #2821C22semidirect
89. #2730C22semidirect
90. #2729C22semidirect
91. #2728C22semidirect
92. #2723C22semidirect
93. #2720C22semidirect
94. #2718C22semidirect
95. #2718C22semidirect
96. #2717C22semidirect
97. #2715C22semidirect
98. #2712C22semidirect
100. #2708C22semidirect
101. #2706C22semidirect
103. #2701C22semidirect
104. #2700C22semidirect
105. #2699C22semidirect
106. #2698C22semidirect
107. #2698C22semidirect
108. #2696C22semidirect
110. #2689C22semidirect
114. #2686C22semidirect
115. #2686C22semidirect
118. #2682C22semidirect
119. #2681C22semidirect
120. #2680C22semidirect
122. #2676C22semidirect
124. #2672C22semidirect
125. #2671C22semidirect
126. #2671C22semidirect
128. #2660C22semidirect
130. #2630C22semidirect
132. #2628C22semidirect
133. #2628C22semidirect
134. #2628C22semidirect
135. #2625C22semidirect
136. #2624C22semidirect
137. #2616C22semidirect
138. #2615C22semidirect
139. #2614C22semidirect
140. #2601C22semidirect
142. #2600C22semidirect
143. #2599C22semidirect
145. #2582C22semidirect
146. #2581C22semidirect
147. #2580C22semidirect
148. #2568C22semidirect
149. #2567C22semidirect
150. #2567C22semidirect
151. #2567C22semidirect
156. #2553C22semidirect
157. #2552C22semidirect
158. #2550C22semidirect
162. #2538C22semidirect
167. #2535C22semidirect
169. #2503C22semidirect
171. #2501C22semidirect
172. #2496C22semidirect
174. #2489C22semidirect
175. #2488C22semidirect
176. #2488C22semidirect
180. #2487C22semidirect
181. #2486C22semidirect
182. #2486C22semidirect
183. #2486C22semidirect
184. #2486C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2474C22semidirect
194. #2469C22semidirect
196. #2462C22semidirect
199. #2458C22semidirect
201. #2453C22semidirect
204. #2448C22semidirect
206. #2447C22semidirect
207. #2446C22semidirect
211. #2444C22semidirect
212. #2443C22semidirect
213. #2443C22semidirect
216. #2441C22semidirect
217. #2439C22semidirect
218. #2438C22semidirect
221. #2430C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
228. #2421C22semidirect
231. #2420C22semidirect
232. #2419C22semidirect
233. #2419C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
249. #2409C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2406C22semidirect
257. #2395C22semidirect
259. #2377C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
266. #2354C22semidirect
268. #2352C22semidirect
269. #2352C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
276. #2337C22semidirect
277. #2331C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
285. #2311C22semidirect
286. #2311C22semidirect
287. #2311C22semidirect
288. #2311C22semidirect
290. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
293. #2296C22semidirect
294. C2×#389C22semidirect
296. #2290C22semidirect
297. #2285C22semidirect
298. #2283C22semidirect
337. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34602
#495552
#478392
#477682
#476902
#450962
#450922
#450042
#448992
#394702
#394692
#389222
#389212
#380512
#380412
#378442
#378392
#377642
#377482
#377112
#376912
#376322
#372722
#372682
#364112
#362752
#361602
#361542
#355172
#355162
#352792
#351892
#349092
#343672