Finite Group Databasebeta

← #7732053

Subgroups — #7732053

Order 512.

7121 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#49574C214yesmaximal, complemented
4#47862C214yesmaximal, complemented
5#47788C214yesmaximal, complemented
6#47675C214yesmaximal, complemented
7#45106C212yesmaximal, complemented
8#45104C212yesmaximal, complemented
9#44890C212yesmaximal, complemented
10#44887C212yesmaximal, complemented
11#39469C211yesmaximal, characteristic, complemented
12#39425C212yesmaximal, complemented
13#39416C212yesmaximal, complemented
14#39372C212yesmaximal, complemented
15#39370C212yesmaximal, complemented
16#39343C211yesmaximal, characteristic, complemented
17#38921C211yesmaximal, characteristic, complemented
18#38908C211yesmaximal, characteristic, complemented
19#38048C212yesmaximal, complemented
20#38025C212yesmaximal, complemented
21#37837C212yesmaximal, complemented
22#37659C212yesmaximal, complemented
23#37620C211yesmaximal, characteristic, complemented
24#37374C212yesmaximal, complemented
25#37272C212yesmaximal, complemented
26#36411C211yesmaximal, characteristic, complemented
27#36274C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#36100C211yesmaximal, characteristic, complemented
30#35621C212yesmaximal, complemented
31#35518C212yesmaximal, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35201C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34207C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yescomplemented
38C2×#555C2212yes—
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#553C2212yescomplemented
42C2×#552C2212yescomplemented
43C2×D4×Q8C2211yescharacteristic, complemented
44C2×#548C2212yescomplemented
45C2×#547C2211yescharacteristic
46#3460—216no—
47C2×#544C2211yescharacteristic
48C2×#544C2212yescomplemented
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2214yescomplemented
53C2×#540C2212yes—
54C2×#540C2211yescharacteristic
55C2×#540C2212yes—
56C2×#540C2211yescharacteristic
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#537C2211yescharacteristic
60C2×#537C2212yescomplemented
61C2×#536C2212yescomplemented
62C2×#536C2212yescomplemented
63C2×#535C2211yescharacteristic
64C2×#535C2211yescharacteristic
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2212yes—
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic, complemented
73C2×#525C2212yes—
74C2×#525C2212yes—
75C2×#525C2212yes—
76C2×#520C2212yescomplemented
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C22×C4×D4C2211yescharacteristic
80#2861C2212yes—
81#2859C2212yescomplemented
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic, complemented
85#2857C2211yescharacteristic, complemented
86#2855C2212yescomplemented
87#2854C2212yescomplemented
88#2848C2212yes—
89#2848C2212yes—
90#2823C2214yescomplemented
91#2730C2214yescomplemented
92#2729C2214yes—
93#2729C2214yescomplemented
94#2729C2214yescomplemented
95#2724C2214yescomplemented
96#2724C2214yescomplemented
97#2718C2214yescomplemented
98#2717C2214yescomplemented
99#2715C2214yescomplemented
100#2712C2214yes—
101#2712C2214yescomplemented
102#2708C2214yes—
103#2708C2214yescomplemented
104#2707C2214yescomplemented
105#2704C2214yes—
106#2704C2214yescomplemented
107#2702C2214yescomplemented
108#2701C2214yes—
109#2699C2214yes—
110#2698C2214yescomplemented
111#2698C2214yescomplemented
112#2697C2214yes—
113#2695C2214yescomplemented
114#2695C2214yescomplemented
115#2693C2214yescomplemented
116#2691C2214yes—
117#2688C2214yescomplemented
118#2686C2214yescomplemented
119#2684C2214yes—
120#2682C2214yescomplemented
121#2682C2214yescomplemented
122#2680C2214yescomplemented
123#2678C2214yes—
124#2676C2214yescomplemented
125#2674C2214yescomplemented
126#2674C2214yescomplemented
127#2673C2214yes—
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2670C2214yes—
131#2663C2214yescomplemented
132#2629C2212yes—
133#2629C2212yescomplemented
134#2629C2212yescomplemented
135#2629C2212yescomplemented
136#2625C2212yescomplemented
137#2625C2212yescomplemented
138#2620C2212yes—
139#2620C2212yescomplemented
140#2618C2214yescomplemented
141#2616C2212yescomplemented
142#2615C2212yescomplemented
143#2604C2214yescomplemented
144#2604C2212yescomplemented
145#2603C2212yes—
146#2602C2212yes—
147#2602C2212yescomplemented
148#2592C2211yescharacteristic, complemented
149#2584C2211yescharacteristic, complemented
150#2582C2211yescharacteristic, complemented
151#2582C2212yescomplemented
152#2582C2212yescomplemented
153#2568C2211yescharacteristic, complemented
154#2567C2211yescharacteristic, complemented
155#2563C2211yescharacteristic
156#2562C2211yescharacteristic
157#2552C2212yescomplemented
158#2551C2212yescomplemented
159#2547C2214yescomplemented
160#2546C2214yescomplemented
161#2545C2214yescomplemented
162#2544C2214yes—
163#2543C2214yes—
164#2542C2211yescharacteristic
165#2540C2211yescharacteristic
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2538C2212yes—
169#2538C2214yes—
170#2538C2211yescharacteristic, complemented
171#2537C2211yescharacteristic
172#2537C2214yescomplemented
173#2536C2214yescomplemented
174#2535C2214yes—
175#2535C2212yes—
176#2535C2212yescomplemented
177#2534C2214yes—
178#2519C2214yescomplemented
179#2506C2214yescomplemented
180#2500C2212yes—
181#2499C2212yescomplemented
182#2491C2212yes—
183#2489C2212yescomplemented
184#2487C2212yes—
185#2486C2212yescomplemented
186#2485C2212yes—
187#2485C2212yescomplemented
188#2478C2214yescomplemented
189#2474C2214yes—
190#2474C2214yescomplemented
191#2461C2214yes—
192#2461C2214yescomplemented
193#2456C2214yes—
194#2455C2214yes—
195#2455C2214yescomplemented
196#2454C2212yes—
197#2452C2214yes—
198#2451C2212yescomplemented
199#2450C2214yes—
200#2450C2214yes—
201#2450C2214yescomplemented
202#2447C2212yes—
203#2445C2212yes—
204#2442C2212yes—
205#2442C2212yescomplemented
206#2439C2212yes—
207#2439C2212yescomplemented
208#2438C2214yescomplemented
209#2438C2214yescomplemented
210#2437C2214yes—
211#2428C2212yes—
212#2427C2212yes—
213#2425C2214yes—
214#2425C2214yescomplemented
215#2425C2214yescomplemented
216#2425C2214yescomplemented
217#2425C2214yescomplemented
218#2425C2214yescomplemented
219#2425C2214yescomplemented
220#2425C2214yescomplemented
221#2425C2214yescomplemented
222#2424C2214yes—
223#2424C2214yes—
224#2422C2212yes—
225#2422C2212yes—
226#2422C2212yescomplemented
227#2422C2212yescomplemented
228#2418C2214yes—
229#2417C2212yes—
230#2417C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2417C2212yescomplemented
239#2416C2212yes—
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2415C2212yes—
243#2415C2211yescharacteristic
244#2415C2212yescomplemented
245#2415C2211yescharacteristic, complemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2414C2212yes—
250#2414C2212yes—
251#2414C2211yescharacteristic
252#2414C2211yescharacteristic, complemented
253#2411C2214yes—
254#2409C2212yes—
255#2409C2212yescomplemented
256#2408C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yescomplemented
260#2395C2212yescomplemented
261#2388C2212yes—
262#2362C2212yescomplemented
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yescomplemented
266#2361C2214yescomplemented
267#2354C2211yescharacteristic
268#2354C2212yes—
269#2354C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271#2349C2212yes—
272#2349C2212yescomplemented
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2211yescharacteristic
275D4×C4⋊C4C2211yescharacteristic, complemented
276D4×C4⋊C4C2212yescomplemented
277#2339C2212yes—
278D4×C22⋊C4C2212yes—
279#2326C2214yescomplemented
280#2323C2212yescomplemented
281#2323C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284#2311C2212yes—
285#2311C2212yescomplemented
286#2311C2212yescomplemented
287#2311C2212yescomplemented
288C4×C4⋊Q8C2212yescomplemented
289C4×#127C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic, complemented
294#2296C2212yescomplemented
295C2×#391C2212yescomplemented
296#2293C2212yes—
297#2293C2212yescomplemented
298C2×#384C2211yescharacteristic, complemented
299C2×#380C2212yes—
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#562—232no—
310#555—216no—
311#555—28no—
312#554—28no—
313#553—216no—
314#552—216no—
315D4×Q8—28no—
316#548—216no—
317#547—28no—
318#544—28no—
319#544—216no—
320#542—28no—
321#542—216no—
322#542—232no—
323#542—28no—
324#540—28no—
325#540—216no—
326#540—28no—
327#540—216no—
328#538—216no—
329#538—216no—
330#537—216no—
331#537—28no—
332#536—216no—
333#536—48no—
334#535—28no—
335#535—28no—
336#533—28no—
337#532—216no—
338#532—28no—
339#532D4116yescomplemented
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2311yescharacteristic
351#529—216no—
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380#525—216no—
381#525—216no—
382#525—48no—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2311yescharacteristic
457C2×#121C2311yescharacteristic
458C2×#121C2312yes—
459C2×#120C2312yes—
460C2×#120C2312yes—
461C2×#120C2312yes—
462C2×#120C2312yes—
463C2×#120C2314yes—
464#520—48no—
465C4×#41—28no—
466C4×#41—28no—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2314yes—
475C2×C4×D4—28no—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2314yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2311yescharacteristic
525C2×#117C2314yes—
526C2×#117C2311yescharacteristic
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2314yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#400C2314yes—
543#400C2314yes—
544#400C2314yes—
545#400C2314yes—
546#399C2312yes—
547#399C2314yes—
548#399C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#395C2314yes—
596#395C2312yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#393C2314yes—
624#393C2312yes—
625#393C2314yes—
626#393C2314yes—
627#393C2314yes—
628#392C2312yes—
629#392C2312yes—
630#392C2312yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#391C2314yes—
638#391C2314yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2311yescharacteristic
651#391C2311yescharacteristic
652#391C2314yes—
653#391C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2311yescharacteristic
661#390C2312yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2311yescharacteristic
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2312yes—
694#389C2311yescharacteristic
695#389C2311yescharacteristic
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#387C2314yes—
740#387C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#384C2312yes—
786#384C2312yes—
787#384C2312yes—
788#384C2314yes—
789#384C2311yescharacteristic
790#384C2312yes—
791#384C2311yescharacteristic
792#384C2312yes—
793#382C2312yes—
794#382C2312yes—
795#382C2314yes—
796#381C2314yes—
797#381C2314yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C4⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C43C2312yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41C2×D4116yes—
870C22×Q8—28no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2414yes—
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—42no—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
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×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—28no—
937C4⋊Q8—216no—
938C4⋊Q8—24no—
939C4⋊Q8—28no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—48no—
943C4⋊Q8C2×D418yes—
944#127—28no—
945#127—24no—
946#127C2×D418yes—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—216no—
951#126—28no—
952#126—28no—
953#125—28no—
954#125—24no—
955#125—216no—
956#125—28no—
957#125—24no—
958#125—24no—
959#125—28no—
960#124—28no—
961#124—24no—
962#124—28no—
963#124—216no—
964#124—28no—
965#124—28no—
966#124—216no—
967#124—216no—
968#124—24no—
969#124—24no—
970#124—48no—
971#124C2×D4116yes—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—216no—
985#123—48no—
986#123—48no—
987#123—48no—
988#123—84no—
989#123—84no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—216no—
1003C22⋊Q8—28no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—216no—
1008C22⋊Q8—216no—
1009C22⋊Q8—44no—
1010C22⋊Q8—42no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—82no—
1016C22⋊Q8—82no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—24no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—216no—
1028#121—216no—
1029#121—216no—
1030#121—28no—
1031#121—216no—
1032#121—28no—
1033#121—24no—
1034#121—24no—
1035#121—28no—
1036#121—24no—
1037#121—24no—
1038#121—28no—
1039#121—28no—
1040#121—44no—
1041#121—42no—
1042#121—44no—
1043#121—84no—
1044#121—84no—
1045#121C2×D418yes—
1046#121C2×D418yes—
1047#121C2×D4116yes—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—28no—
1052#120—48no—
1053C4×Q8—24no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—48no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—216no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—48no—
1085C4×D4—48no—
1086C4×D4—48no—
1087C4×D4—48no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—48no—
1091C4×D4—44no—
1092C4×D4—84no—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095C4×D4C2×D4116yes—
1096#117—24no—
1097#117—28no—
1098#117—28no—
1099#117—28no—
1100#117—24no—
1101#117—28no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—216no—
1107#117—24no—
1108#117—24no—
1109#117—28no—
1110#117—28no—
1111#117—42no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4—44no—
1117C2×C4⋊C4—44no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4—82no—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—84no—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C42—28no—
1262C2×C42—24no—
1263C2×C42—24no—
1264C2×C42C2×D418yes—
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2414yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—24no—
1332C24—24no—
1333C24—42no—
1334C24—42no—
1335C24—42no—
1336C24—42no—
1337C24—42no—
1338C24C2512yes—
1339C24C2512yes—
1340C24C2511yescharacteristic
1341C24C2512yes—
1342C24C2511yescharacteristic
1343C24C2512yes—
1344C24C2511yescharacteristic
1345#41—432no—
1346#41—416no—
1347#41—416no—
1348#41—816no—
1349#41—816no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—28no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—42no—
1365C2×Q8—42no—
1366C2×Q8—41no—
1367C2×Q8—42no—
1368C2×Q8—44no—
1369C2×Q8—42no—
1370C2×Q8—44no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—816no—
1374C2×Q8C22×D418yes—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—416no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—41no—
1416C2×D4—42no—
1417C2×D4—41no—
1418C2×D4—42no—
1419C2×D4—41no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—42no—
1445C2×D4C22×D414yes—
1446C2×D4C22×D414yes—
1447C2×D4C22×D418yes—
1448C2×D4C22×D418yes—
1449C2×D4C22×D418yes—
1450C2×D4C22×D418yes—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—28no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—28no—
1486C22×C4—24no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—41no—
1495C22×C4—41no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—44no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—816no—
1518C22×C4C22×D418yes—
1519C22×C4C22×D414yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D418yes—
1522C22×C4C22×D414yes—
1523C22×C42−1+414yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2514yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—28no—
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—28no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—44no—
1604C4⋊C4—42no—
1605C4⋊C4—42no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4C22×D414yes—
1618C4⋊C4C22×D414yes—
1619C4⋊C4C22×D418yes—
1620C4⋊C4H(5,𝔽2)14yes—
1621C22⋊C4—24no—
1622C22⋊C4—22no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—28no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—22no—
1641C22⋊C4—22no—
1642C22⋊C4—22no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—28no—
1656C22⋊C4—28no—
1657C22⋊C4—24no—
1658C22⋊C4—28no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4C22×D418yes—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C42—22no—
1692C42—22no—
1693C42—22no—
1694C42—24no—
1695C42—22no—
1696C42—24no—
1697C42—22no—
1698C42—24no—
1699C42—22no—
1700C42—28no—
1701C42—28no—
1702C42—24no—
1703C42—28no—
1704C42—24no—
1705C42—28no—
1706C42—24no—
1707C42—24no—
1708C42—42no—
1709C42—42no—
1710C42—42no—
1711C42C22×D414yes—
1712C42C22×D414yes—
1713C42C22×D414yes—
1714C42C22×D414yes—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—21no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—22no—
1729C23—22no—
1730C23—21no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—21no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—22no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—21no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—21no—
1759C23—22no—
1760C23—48no—
1761C23—48no—
1762C23—84no—
1763C23—84no—
1764C23—84no—
1765C23—84no—
1766C23—84no—
1767C23C23×D412yes—
1768C23C23×D414yes—
1769C23C23×D414yes—
1770C23C2×2−1+412yes—
1771C23C2611yescharacteristic
1772Q8—48no—
1773Q8—44no—
1774Q8—44no—
1775Q8—44no—
1776Q8—48no—
1777Q8—84no—
1778Q8—88no—
1779Q8—84no—
1780D4—28no—
1781D4—28no—
1782D4—48no—
1783D4—48no—
1784D4—48no—
1785D4—48no—
1786D4—48no—
1787D4—48no—
1788D4—44no—
1789D4—44no—
1790D4—44no—
1791D4—48no—
1792D4—44no—
1793D4—44no—
1794D4—84no—
1795D4—84no—
1796D4—84no—
1797D4—84no—
1798D4—84no—
1799D4—88no—
1800D4—84no—
1801D4—84no—
1802D4—88no—
1803D4—88no—
1804D4—84no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—28no—
1822C2×C4—28no—
1823C2×C4—216no—
1824C2×C4—216no—
1825C2×C4—28no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—21no—
1871C2×C4—24no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—82no—
1888C2×C4—82no—
1889C2×C4—84no—
1890C2×C4—84no—
1891C2×C4—88no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4—84no—
1895C2×C4—88no—
1896C2×C4—164no—
1897C2×C4—164no—
1898C2×C4—164no—
1899C2×C4C23×D412yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D414yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C2×H(5,𝔽2)14yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×2−1+412yes—
1910C2×C4C2×2−1+412yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C22—24no—
1914C22—24no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—24no—
1919C22—24no—
1920C22—22no—
1921C22—24no—
1922C22—24no—
1923C22—22no—
1924C22—22no—
1925C22—41no—
1926C22—41no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—41no—
1931C22—42no—
1932C22—42no—
1933C22—41no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—41no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—41no—
1958C22—42no—
1959C22—41no—
1960C22—42no—
1961C22—42no—
1962C22—816no—
1963C22C24×D411yescharacteristic
1964C22C22×H(5,𝔽2)11yescharacteristic
1965C22C22×2−1+411yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22H(7,𝔽2)11yescharacteristic
1969C222−1+611yescharacteristic
1970C4—24no—
1971C4—22no—
1972C4—24no—
1973C4—22no—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—24no—
1978C4—41no—
1979C4—42no—
1980C4—41no—
1981C4—44no—
1982C4—42no—
1983C4—42no—
1984C4—41no—
1985C4—42no—
1986C4—41no—
1987C4—42no—
1988C4—41no—
1989C4—42no—
1990C4—44no—
1991C4—44no—
1992C4—42no—
1993C4—44no—
1994C4—42no—
1995C4—42no—
1996C4#348914yes—
1997C4#349614yes—
1998C2—44no—
1999C2—42no—
2000C2—44no—
2001C2—42no—
2002C2—81no—
2003C2—82no—
2004C2—82no—
2005C2C2×#349611yescharacteristic
2006C2C2×#348911yescharacteristic
2007C2#6285311yescharacteristic
2008C2#6291511yescharacteristic
2009C2#6292311yescharacteristic
2010C2#6292611yescharacteristic
2011C2#6293611yescharacteristic
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×#3547C2semidirect
2. C2×#3460C2semidirect
3. #49574C2semidirect
4. #47862C2semidirect
5. #47788C2semidirect
6. #47675C2semidirect
7. #45106C2semidirect
8. #45104C2semidirect
9. #44890C2semidirect
10. #44887C2semidirect
11. #39469C2semidirect
12. #39425C2semidirect
13. #39416C2semidirect
14. #39372C2semidirect
15. #39370C2semidirect
16. #39343C2semidirect
17. #38921C2semidirect
18. #38908C2semidirect
19. #38048C2semidirect
20. #38025C2semidirect
21. #37837C2semidirect
22. #37659C2semidirect
23. #37620C2semidirect
24. #37374C2semidirect
25. #37272C2semidirect
26. #36411C2semidirect
27. #36274C2semidirect
28. #36154C2semidirect
29. #36100C2semidirect
30. #35621C2semidirect
31. #35518C2semidirect
32. #35280C2semidirect
33. #35201C2semidirect
34. #34911C2semidirect
35. #34207C2semidirect
37. C2×#562C22semidirect
39. C2×#555C22semidirect
41. C2×#553C22semidirect
42. C2×#552C22semidirect
43. C2×D4×Q8C22semidirect
44. C2×#548C22semidirect
48. C2×#544C22semidirect
52. C2×#542C22semidirect
60. C2×#537C22semidirect
61. C2×#536C22semidirect
62. C2×#536C22semidirect
65. C2×#533C22semidirect
72. C2×#529C22semidirect
76. C2×#520C22semidirect
81. #2859C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2855C22semidirect
87. #2854C22semidirect
90. #2823C22semidirect
91. #2730C22semidirect
93. #2729C22semidirect
94. #2729C22semidirect
95. #2724C22semidirect
96. #2724C22semidirect
97. #2718C22semidirect
98. #2717C22semidirect
99. #2715C22semidirect
101. #2712C22semidirect
103. #2708C22semidirect
104. #2707C22semidirect
106. #2704C22semidirect
107. #2702C22semidirect
110. #2698C22semidirect
111. #2698C22semidirect
113. #2695C22semidirect
114. #2695C22semidirect
115. #2693C22semidirect
117. #2688C22semidirect
118. #2686C22semidirect
120. #2682C22semidirect
121. #2682C22semidirect
122. #2680C22semidirect
124. #2676C22semidirect
125. #2674C22semidirect
126. #2674C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
131. #2663C22semidirect
133. #2629C22semidirect
134. #2629C22semidirect
135. #2629C22semidirect
136. #2625C22semidirect
137. #2625C22semidirect
139. #2620C22semidirect
140. #2618C22semidirect
141. #2616C22semidirect
142. #2615C22semidirect
143. #2604C22semidirect
144. #2604C22semidirect
147. #2602C22semidirect
148. #2592C22semidirect
149. #2584C22semidirect
150. #2582C22semidirect
151. #2582C22semidirect
152. #2582C22semidirect
153. #2568C22semidirect
154. #2567C22semidirect
157. #2552C22semidirect
158. #2551C22semidirect
159. #2547C22semidirect
160. #2546C22semidirect
161. #2545C22semidirect
170. #2538C22semidirect
172. #2537C22semidirect
173. #2536C22semidirect
176. #2535C22semidirect
178. #2519C22semidirect
179. #2506C22semidirect
181. #2499C22semidirect
183. #2489C22semidirect
185. #2486C22semidirect
187. #2485C22semidirect
188. #2478C22semidirect
190. #2474C22semidirect
192. #2461C22semidirect
195. #2455C22semidirect
198. #2451C22semidirect
201. #2450C22semidirect
205. #2442C22semidirect
207. #2439C22semidirect
208. #2438C22semidirect
209. #2438C22semidirect
214. #2425C22semidirect
215. #2425C22semidirect
216. #2425C22semidirect
217. #2425C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
220. #2425C22semidirect
221. #2425C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
252. #2414C22semidirect
255. #2409C22semidirect
259. #2407C22semidirect
260. #2395C22semidirect
262. #2362C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
272. #2349C22semidirect
275. D4×C4⋊C4C22semidirect
276. D4×C4⋊C4C22semidirect
279. #2326C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
285. #2311C22semidirect
286. #2311C22semidirect
287. #2311C22semidirect
288. C4×C4⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
293. C4×#121C22semidirect
294. #2296C22semidirect
295. C2×#391C22semidirect
297. #2293C22semidirect
298. C2×#384C22semidirect
300. C4×#117C22semidirect
339. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34602
#495742
#478622
#477882
#476752
#451062
#451042
#448902
#448872
#394692
#394252
#394162
#393722
#393702
#393432
#389212
#389082
#380482
#380252
#378372
#376592
#376202
#373742
#372722
#364112
#362742
#361542
#361002
#356212
#355182
#352802
#352012
#349112
#342072