Finite Group Databasebeta

← #7732553

Subgroups — #7732553

Order 512.

7111 conjugacy classes of subgroups.

The subgroup lattice has 2008 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#50174C214yesmaximal, complemented
4#48784C214yesmaximal, complemented
5#47718C214yesmaximal, complemented
6#47716C214yesmaximal, complemented
7#45095C212yesmaximal, complemented
8#45094C212yesmaximal, complemented
9#45093C212yesmaximal, complemented
10#45091C212yesmaximal, complemented
11#39471C211yesmaximal, characteristic, complemented
12#39468C211yesmaximal, characteristic, complemented
13#38923C211yesmaximal, characteristic, complemented
14#38920C211yesmaximal, characteristic, complemented
15#38050C212yesmaximal, complemented
16#38040C212yesmaximal, complemented
17#37845C212yesmaximal, complemented
18#37838C212yesmaximal, complemented
19#37773C212yesmaximal, complemented
20#37757C212yesmaximal, complemented
21#37700C212yesmaximal, complemented
22#37682C212yesmaximal, complemented
23#37617C211yesmaximal, characteristic, complemented
24#37272C212yesmaximal, complemented
25#37268C212yesmaximal, complemented
26#36405C211yesmaximal, characteristic, complemented
27#36259C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#36153C211yesmaximal, characteristic, complemented
30#35517C212yesmaximal, complemented
31#35516C212yesmaximal, complemented
32#35316C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34367C211yesmaximal, characteristic, complemented
36#3511—216no—
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2212yescomplemented
40C2×#554C2212yescomplemented
41C2×#553C2214yescomplemented
42C2×#548C2212yes—
43C2×#548C2212yescomplemented
44C2×#547C2211yescharacteristic
45C2×#547C2212yes—
46C2×#547C2211yescharacteristic, complemented
47C2×#546C2212yes—
48#3460—216no—
49C2×#544C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#542C2214yescomplemented
54C2×#540C2211yescharacteristic
55C2×#540C2211yescharacteristic
56C2×#540C2212yes—
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#537C2211yescharacteristic
60C2×#537C2212yescomplemented
61C2×#536C2212yes—
62C2×#535C2211yescharacteristic
63C2×#535C2211yescharacteristic
64C2×#533C2212yescomplemented
65C2×#532C2211yescharacteristic
66C2×#532C2212yes—
67C2×#532C2212yes—
68C2×#532C2211yescharacteristic
69C22×C4⋊Q8C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#525C2212yes—
74C2×#525C2212yes—
75C2×#520C2212yescomplemented
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic, complemented
83#2857C2211yescharacteristic, complemented
84#2855C2212yescomplemented
85#2854C2212yescomplemented
86#2851C2212yescomplemented
87#2850C2212yes—
88#2848C2212yes—
89#2847C2212yes—
90#2821C2214yescomplemented
91#2732C2214yescomplemented
92#2730C2214yescomplemented
93#2729C2214yescomplemented
94#2728C2214yes—
95#2722C2214yescomplemented
96#2721C2214yescomplemented
97#2719C2214yescomplemented
98#2718C2214yescomplemented
99#2715C2214yescomplemented
100#2710C2214yescomplemented
101#2710C2214yescomplemented
102#2708C2214yescomplemented
103#2708C2214yescomplemented
104#2706C2214yescomplemented
105#2703C2214yescomplemented
106#2701C2214yescomplemented
107#2700C2214yescomplemented
108#2699C2214yescomplemented
109#2695C2214yescomplemented
110#2694C2214yescomplemented
111#2691C2214yescomplemented
112#2690C2214yes—
113#2689C2214yescomplemented
114#2688C2214yescomplemented
115#2688C2214yescomplemented
116#2688C2214yescomplemented
117#2687C2214yescomplemented
118#2686C2214yescomplemented
119#2682C2214yescomplemented
120#2678C2214yes—
121#2674C2214yes—
122#2674C2214yescomplemented
123#2673C2214yes—
124#2672C2214yes—
125#2671C2214yes—
126#2671C2214yes—
127#2671C2214yes—
128#2670C2214yes—
129#2668C2214yes—
130#2668C2214yes—
131#2658C2212yes—
132#2642C2212yescomplemented
133#2630C2214yescomplemented
134#2628C2212yescomplemented
135#2628C2212yescomplemented
136#2625C2212yescomplemented
137#2624C2212yescomplemented
138#2623C2214yescomplemented
139#2621C2212yes—
140#2621C2212yescomplemented
141#2616C2212yescomplemented
142#2615C2212yescomplemented
143#2601C2214yescomplemented
144#2600C2212yes—
145#2600C2212yescomplemented
146#2599C2212yescomplemented
147#2598C2212yes—
148#2582C2211yescharacteristic, complemented
149#2581C2211yescharacteristic, complemented
150#2580C2211yescharacteristic, complemented
151#2557C2214yescomplemented
152#2555C2214yes—
153#2549C2214yescomplemented
154#2547C2212yes—
155#2547C2211yescharacteristic
156#2547C2211yescharacteristic
157#2547C2212yes—
158#2547C2212yes—
159#2546C2211yescharacteristic, complemented
160#2546C2211yescharacteristic, complemented
161#2546C2212yescomplemented
162#2546C2212yescomplemented
163#2544C2212yes—
164#2542C2212yescomplemented
165#2540C2212yes—
166#2538C2211yescharacteristic
167#2538C2211yescharacteristic, complemented
168#2537C2211yescharacteristic
169#2536C2211yescharacteristic
170#2535C2211yescharacteristic
171#2521C2214yescomplemented
172#2492C2212yescomplemented
173#2491C2214yes—
174#2489C2212yescomplemented
175#2488C2214yescomplemented
176#2487C2212yescomplemented
177#2487C2212yescomplemented
178#2487C2212yescomplemented
179#2487C2212yescomplemented
180#2486C2212yes—
181#2486C2212yes—
182#2486C2212yes—
183#2486C2212yes—
184#2486C2212yescomplemented
185#2486C2212yescomplemented
186#2485C2212yes—
187#2485C2212yes—
188#2485C2211yescharacteristic
189#2485C2212yescomplemented
190#2485C2212yescomplemented
191#2485C2211yescharacteristic, complemented
192#2485C2212yescomplemented
193#2480C2214yes—
194#2479C2214yescomplemented
195#2478C2214yescomplemented
196#2477C2214yes—
197#2475C2214yescomplemented
198#2472C2214yes—
199#2471C2214yescomplemented
200#2468C2214yes—
201#2466C2214yes—
202#2453C2212yescomplemented
203#2451C2212yescomplemented
204#2448C2214yescomplemented
205#2447C2212yes—
206#2447C2212yescomplemented
207#2447C2214yescomplemented
208#2446C2214yescomplemented
209#2445C2214yes—
210#2444C2214yescomplemented
211#2444C2214yescomplemented
212#2444C2214yescomplemented
213#2443C2214yes—
214#2443C2214yes—
215#2443C2214yescomplemented
216#2440C2214yescomplemented
217#2436C2212yes—
218#2435C2212yes—
219#2434C2212yescomplemented
220#2432C2212yes—
221#2432C2212yes—
222#2431C2212yes—
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2427C2212yes—
226#2427C2212yes—
227#2427C2212yescomplemented
228#2426C2212yes—
229#2425C2214yes—
230#2425C2214yes—
231#2423C2214yescomplemented
232#2422C2214yes—
233#2421C2214yes—
234#2420C2214yescomplemented
235#2419C2214yescomplemented
236#2419C2214yescomplemented
237#2419C2214yescomplemented
238#2418C2214yes—
239#2418C2214yes—
240#2418C2214yes—
241#2417C2212yes—
242#2417C2212yescomplemented
243#2417C2212yescomplemented
244#2416C2212yes—
245#2416C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2415C2212yescomplemented
250#2414C2212yes—
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2413C2214yescomplemented
254#2412C2214yes—
255#2407C2212yes—
256#2407C2211yescharacteristic
257#2407C2212yescomplemented
258#2407C2211yescharacteristic, complemented
259#2407C2212yescomplemented
260#2395C2212yescomplemented
261#2388C2212yes—
262#2377C2214yescomplemented
263#2367C2212yes—
264#2365C2212yescomplemented
265#2363C2212yes—
266#2363C2212yescomplemented
267#2362C2212yes—
268#2360C2212yes—
269#2354C2211yescharacteristic
270#2354C2211yescharacteristic, complemented
271#2352C2212yescomplemented
272#2352C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic
274D4×C4⋊C4C2211yescharacteristic, complemented
275#2339C2212yes—
276#2339C2212yescomplemented
277#2337C2214yescomplemented
278#2331C2212yescomplemented
279#2328C2212yes—
280#2324C2212yescomplemented
281#2323C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2311C2212yescomplemented
286#2311C2212yescomplemented
287#2311C2212yescomplemented
288#2310C2212yescomplemented
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×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C23×Q8C2312yes—
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311#556—28no—
312#556—28no—
313#555—216no—
314#554—216no—
315#553—232no—
316#548—216no—
317#548—216no—
318#547—28no—
319#547—28no—
320#547—48no—
321#546—48no—
322#544—28no—
323#542—28no—
324#542—216no—
325#542—232no—
326#542—28no—
327#540—28no—
328#540—28no—
329#540—216no—
330#538—216no—
331#538—216no—
332#537—216no—
333#537—28no—
334#536—48no—
335#535—28no—
336#535—28no—
337#533—216no—
338#532—216no—
339#532—216no—
340#532—28no—
341#532D4116yescomplemented
342C2×C4⋊Q8—28no—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2311yescharacteristic
356C2×#127C2311yescharacteristic
357#529—216no—
358#529—28no—
359#529—28no—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2314yes—
383C2×#124C2312yes—
384#525—216no—
385#525—216no—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
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⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457#520—216no—
458C4×#41—28no—
459C4×#41—28no—
460C4×#41—28no—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2314yes—
470C2×C4×D4—28no—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2314yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C42C2312yes—
529C22×C42C2312yes—
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533#400C2314yes—
534#400C2314yes—
535#400C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2312yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2312yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#397C2314yes—
563#397C2314yes—
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#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2312yes—
592#395C2314yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2314yes—
620#392C2312yes—
621#392C2312yes—
622#392C2312yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2314yes—
634#391C2314yes—
635#391C2314yes—
636#391C2314yes—
637#391C2314yes—
638#391C2314yes—
639#391C2312yes—
640#391C2311yescharacteristic
641#391C2311yescharacteristic
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2314yes—
653#390C2311yescharacteristic
654#390C2311yescharacteristic
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2314yes—
659#390C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
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#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#384C2314yes—
782#384C2311yescharacteristic
783#384C2311yescharacteristic
784#383C2312yes—
785#382C2314yes—
786#382C2311yescharacteristic
787#382C2311yescharacteristic
788#382C2312yes—
789#381C2314yes—
790#381C2314yes—
791#381C2314yes—
792#381C2314yes—
793#381C2314yes—
794#381C2312yes—
795#381C2314yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2311yescharacteristic
829#380C2311yescharacteristic
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851#376C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—42no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41C2×D4116yes—
876C22×Q8—28no—
877C22×Q8—44no—
878C22×Q8—44no—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2414yes—
885C22×Q8C2412yes—
886C22×Q8C2412yes—
887C22×D4—24no—
888C22×D4—24no—
889C22×D4—42no—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C23×C4—28no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2411yescharacteristic
943C4⋊Q8—28no—
944C4⋊Q8—24no—
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—24no—
949C4⋊Q8—28no—
950C4⋊Q8—44no—
951C4⋊Q8—44no—
952C4⋊Q8—48no—
953C4⋊Q8C2×D418yes—
954#127—28no—
955#127—24no—
956#127C2×D418yes—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—216no—
961#126—216no—
962#126—28no—
963#125—28no—
964#125—24no—
965#125—216no—
966#125—24no—
967#124—28no—
968#124—24no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—216no—
975#124—216no—
976#124—24no—
977#124—44no—
978#124—44no—
979#124—48no—
980#124C2×D4116yes—
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—216no—
990#123—216no—
991#123—48no—
992#123—48no—
993#123—48no—
994#123—48no—
995#123—48no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—24no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—24no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—216no—
1011C22⋊Q8—216no—
1012C22⋊Q8—42no—
1013C22⋊Q8—44no—
1014C22⋊Q8—42no—
1015C22⋊Q8—44no—
1016C22⋊Q8—44no—
1017C22⋊Q8—44no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—24no—
1025#121—28no—
1026#121—216no—
1027#121—28no—
1028#121—28no—
1029#121—216no—
1030#121—216no—
1031#121—216no—
1032#121—24no—
1033#121—28no—
1034#121—28no—
1035#121—24no—
1036#121—28no—
1037#121—28no—
1038#121—48no—
1039#121—48no—
1040#121—42no—
1041#121—44no—
1042#121—42no—
1043#121—44no—
1044#121C2×D418yes—
1045#121C2×D418yes—
1046#121C2×D4116yes—
1047#120—28no—
1048#120—28no—
1049#120—28no—
1050#120—28no—
1051#120—48no—
1052C4×Q8—216no—
1053C4×Q8—24no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—216no—
1064C4×D4—216no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4C2×D418yes—
1091C4×D4C2×D418yes—
1092C4×D4C2×D4116yes—
1093#117—24no—
1094#117—24no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—24no—
1099#117—216no—
1100#117—28no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—44no—
1106#117—44no—
1107#117—44no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—48no—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—48no—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C42—28no—
1252C2×C42—24no—
1253C2×C42—24no—
1254C2×C42—28no—
1255C2×C42C2×D418yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2414yes—
1273C2×C42C2414yes—
1274C2×C42C2414yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327C24—24no—
1328C24—24no—
1329C24—42no—
1330C24—42no—
1331C24—42no—
1332C24—42no—
1333C24—42no—
1334C24C2512yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2511yescharacteristic
1339C24C2512yes—
1340C24C2511yescharacteristic
1341#41—432no—
1342#41—416no—
1343#41—416no—
1344#41—416no—
1345#41—816no—
1346#41—816no—
1347#41—816no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—28no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—24no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—42no—
1365C2×Q8—42no—
1366C2×Q8—41no—
1367C2×Q8—44no—
1368C2×Q8—44no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—816no—
1372C2×Q8C22×D418yes—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—416no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—41no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
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—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4C22×D414yes—
1444C2×D4C22×D414yes—
1445C2×D4C22×D418yes—
1446C2×D4C22×D418yes—
1447C2×D4C22×D418yes—
1448C2×D4C22×D418yes—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—28no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—41no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—44no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—816no—
1519C22×C4C22×D418yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D414yes—
1522C22×C4C22×D418yes—
1523C22×C4C22×D414yes—
1524C22×C4H(5,𝔽2)14yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2514yes—
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2514yes—
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
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—28no—
1584C4⋊C4—28no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—22no—
1591C4⋊C4—22no—
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—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—42no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—42no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4C22×D414yes—
1615C4⋊C4C22×D418yes—
1616C4⋊C4C22×D414yes—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—22no—
1621C22⋊C4—22no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—22no—
1638C22⋊C4—22no—
1639C22⋊C4—22no—
1640C22⋊C4—22no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—28no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4C22×D418yes—
1683C22⋊C4C22×D418yes—
1684C22⋊C4C22×D418yes—
1685C22⋊C4C22×D418yes—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—24no—
1690C42—22no—
1691C42—24no—
1692C42—24no—
1693C42—22no—
1694C42—24no—
1695C42—24no—
1696C42—24no—
1697C42—22no—
1698C42—28no—
1699C42—28no—
1700C42—24no—
1701C42—24no—
1702C42—44no—
1703C42—44no—
1704C42—44no—
1705C42C22×D414yes—
1706C42C22×D414yes—
1707C42C22×D414yes—
1708C42C22×D414yes—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—21no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—21no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—22no—
1754C23—48no—
1755C23—48no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23C23×D414yes—
1762C23C23×D414yes—
1763C23C23×D412yes—
1764C23C2×H(5,𝔽2)12yes—
1765C23C2611yescharacteristic
1766Q8—48no—
1767Q8—44no—
1768Q8—44no—
1769Q8—48no—
1770Q8—48no—
1771Q8—44no—
1772Q8—88no—
1773Q8—84no—
1774D4—28no—
1775D4—28no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—48no—
1780D4—48no—
1781D4—44no—
1782D4—44no—
1783D4—44no—
1784D4—48no—
1785D4—48no—
1786D4—44no—
1787D4—44no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—84no—
1795D4—88no—
1796D4—88no—
1797D4—84no—
1798D4—164no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—216no—
1814C2×C4—28no—
1815C2×C4—216no—
1816C2×C4—28no—
1817C2×C4—28no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—24no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—44no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—82no—
1885C2×C4—82no—
1886C2×C4—84no—
1887C2×C4—84no—
1888C2×C4—84no—
1889C2×C4—84no—
1890C2×C4—88no—
1891C2×C4—88no—
1892C2×C4—88no—
1893C2×C4—88no—
1894C2×C4—164no—
1895C2×C4C23×D414yes—
1896C2×C4C23×D412yes—
1897C2×C4C23×D412yes—
1898C2×C4C23×D412yes—
1899C2×C4C23×D414yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C2×H(5,𝔽2)12yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4#58512yes—
1906C2×C4#58512yes—
1907C2×C4#58512yes—
1908C22—24no—
1909C22—22no—
1910C22—24no—
1911C22—22no—
1912C22—22no—
1913C22—24no—
1914C22—24no—
1915C22—22no—
1916C22—24no—
1917C22—24no—
1918C22—22no—
1919C22—22no—
1920C22—41no—
1921C22—41no—
1922C22—42no—
1923C22—41no—
1924C22—42no—
1925C22—42no—
1926C22—41no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—41no—
1936C22—42no—
1937C22—42no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—41no—
1944C22—42no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—41no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—41no—
1955C22—42no—
1956C22—42no—
1957C22—816no—
1958C22C24×D411yescharacteristic
1959C22C22×H(5,𝔽2)11yescharacteristic
1960C22C2×#58511yescharacteristic
1961C22C2×#58511yescharacteristic
1962C22C2×#58511yescharacteristic
1963C222−1+611yescharacteristic
1964C222−1+611yescharacteristic
1965C4—22no—
1966C4—24no—
1967C4—24no—
1968C4—22no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—41no—
1973C4—42no—
1974C4—42no—
1975C4—41no—
1976C4—42no—
1977C4—42no—
1978C4—41no—
1979C4—44no—
1980C4—44no—
1981C4—42no—
1982C4—41no—
1983C4—41no—
1984C4—42no—
1985C4—44no—
1986C4—42no—
1987C4—42no—
1988C4—44no—
1989C4—42no—
1990C4—42no—
1991C4#348514yes—
1992C4#348814yes—
1993C2—42no—
1994C2—44no—
1995C2—44no—
1996C2—42no—
1997C2—82no—
1998C2—81no—
1999C2—82no—
2000C2C2×#348511yescharacteristic
2001C2C2×#348811yescharacteristic
2002C2#6285911yescharacteristic
2003C2#6292511yescharacteristic
2004C2#6293111yescharacteristic
2005C2#6293611yescharacteristic
2006C2#6293911yescharacteristic
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. #50174C2semidirect
4. #48784C2semidirect
5. #47718C2semidirect
6. #47716C2semidirect
7. #45095C2semidirect
8. #45094C2semidirect
9. #45093C2semidirect
10. #45091C2semidirect
11. #39471C2semidirect
12. #39468C2semidirect
13. #38923C2semidirect
14. #38920C2semidirect
15. #38050C2semidirect
16. #38040C2semidirect
17. #37845C2semidirect
18. #37838C2semidirect
19. #37773C2semidirect
20. #37757C2semidirect
21. #37700C2semidirect
22. #37682C2semidirect
23. #37617C2semidirect
24. #37272C2semidirect
25. #37268C2semidirect
26. #36405C2semidirect
27. #36259C2semidirect
28. #36161C2semidirect
29. #36153C2semidirect
30. #35517C2semidirect
31. #35516C2semidirect
32. #35316C2semidirect
33. #35189C2semidirect
34. #34909C2semidirect
35. #34367C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
43. C2×#548C22semidirect
46. C2×#547C22semidirect
53. C2×#542C22semidirect
60. C2×#537C22semidirect
64. C2×#533C22semidirect
69. C22×C4⋊Q8C22semidirect
75. C2×#520C22semidirect
78. C2×C4×#41C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2855C22semidirect
85. #2854C22semidirect
86. #2851C22semidirect
90. #2821C22semidirect
91. #2732C22semidirect
92. #2730C22semidirect
93. #2729C22semidirect
95. #2722C22semidirect
96. #2721C22semidirect
97. #2719C22semidirect
98. #2718C22semidirect
99. #2715C22semidirect
100. #2710C22semidirect
101. #2710C22semidirect
102. #2708C22semidirect
103. #2708C22semidirect
104. #2706C22semidirect
105. #2703C22semidirect
106. #2701C22semidirect
107. #2700C22semidirect
108. #2699C22semidirect
109. #2695C22semidirect
110. #2694C22semidirect
111. #2691C22semidirect
113. #2689C22semidirect
114. #2688C22semidirect
115. #2688C22semidirect
116. #2688C22semidirect
117. #2687C22semidirect
118. #2686C22semidirect
119. #2682C22semidirect
122. #2674C22semidirect
132. #2642C22semidirect
133. #2630C22semidirect
134. #2628C22semidirect
135. #2628C22semidirect
136. #2625C22semidirect
137. #2624C22semidirect
138. #2623C22semidirect
140. #2621C22semidirect
141. #2616C22semidirect
142. #2615C22semidirect
143. #2601C22semidirect
145. #2600C22semidirect
146. #2599C22semidirect
148. #2582C22semidirect
149. #2581C22semidirect
150. #2580C22semidirect
151. #2557C22semidirect
153. #2549C22semidirect
159. #2546C22semidirect
160. #2546C22semidirect
161. #2546C22semidirect
162. #2546C22semidirect
164. #2542C22semidirect
167. #2538C22semidirect
171. #2521C22semidirect
172. #2492C22semidirect
174. #2489C22semidirect
175. #2488C22semidirect
176. #2487C22semidirect
177. #2487C22semidirect
178. #2487C22semidirect
179. #2487C22semidirect
184. #2486C22semidirect
185. #2486C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2485C22semidirect
194. #2479C22semidirect
195. #2478C22semidirect
197. #2475C22semidirect
199. #2471C22semidirect
202. #2453C22semidirect
203. #2451C22semidirect
204. #2448C22semidirect
206. #2447C22semidirect
207. #2447C22semidirect
208. #2446C22semidirect
210. #2444C22semidirect
211. #2444C22semidirect
212. #2444C22semidirect
215. #2443C22semidirect
216. #2440C22semidirect
219. #2434C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
227. #2427C22semidirect
231. #2423C22semidirect
234. #2420C22semidirect
235. #2419C22semidirect
236. #2419C22semidirect
237. #2419C22semidirect
242. #2417C22semidirect
243. #2417C22semidirect
249. #2415C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2413C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2395C22semidirect
262. #2377C22semidirect
264. #2365C22semidirect
266. #2363C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. #2352C22semidirect
274. D4×C4⋊C4C22semidirect
276. #2339C22semidirect
277. #2337C22semidirect
278. #2331C22semidirect
280. #2324C22semidirect
281. #2323C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2311C22semidirect
286. #2311C22semidirect
287. #2311C22semidirect
288. #2310C22semidirect
290. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
293. #2296C22semidirect
294. C2×#389C22semidirect
296. #2290C22semidirect
297. #2285C22semidirect
298. #2283C22semidirect
341. #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
#501742
#487842
#477182
#477162
#450952
#450942
#450932
#450912
#394712
#394682
#389232
#389202
#380502
#380402
#378452
#378382
#377732
#377572
#377002
#376822
#376172
#372722
#372682
#364052
#362592
#361612
#361532
#355172
#355162
#353162
#351892
#349092
#343672