Finite Group Databasebeta

← #7644183

Subgroups — #7644183

Order 512.

6798 conjugacy classes of subgroups.

The subgroup lattice has 1887 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#42683C211yesmaximal, characteristic, complemented
4#42680C211yesmaximal, characteristic, complemented
5#42679C211yesmaximal, characteristic, complemented
6#42676C211yesmaximal, characteristic, complemented
7#42675C212yesmaximal, complemented
8#42673C212yesmaximal, complemented
9#42485C211yesmaximal, characteristic, complemented
10#42482C211yesmaximal, characteristic, complemented
11#42481C211yesmaximal, characteristic, complemented
12#42478C211yesmaximal, characteristic, complemented
13#42477C212yesmaximal, complemented
14#42474C212yesmaximal, complemented
15#42173C212yesmaximal, complemented
16#42172C212yesmaximal, complemented
17#42169C212yesmaximal, complemented
18#42168C212yesmaximal, complemented
19#41415C214yesmaximal, complemented
20#41414C214yesmaximal, complemented
21#37445C212yesmaximal, complemented
22#37443C212yesmaximal, complemented
23#37441C212yesmaximal, complemented
24#37438C212yesmaximal, complemented
25#37133C214yesmaximal, complemented
26#37131C214yesmaximal, complemented
27#35611C212yesmaximal, complemented
28#35606C212yesmaximal, complemented
29#35606C212yesmaximal, complemented
30#35601C212yesmaximal, complemented
31#35212C211yesmaximal, characteristic, complemented
32#35201C211yesmaximal, characteristic, complemented
33#34643C211yesmaximal, characteristic, complemented
34#34631C211yesmaximal, characteristic, complemented
35#34058C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2212yescomplemented
42C2×#553C2211yescharacteristic
43C2×#553C2212yes—
44C2×#552C2211yescharacteristic
45C2×#552C2212yescomplemented
46C2×#551C2212yes—
47C2×#551C2212yes—
48C2×#551C2214yescomplemented
49C2×D4×Q8C2211yescharacteristic, complemented
50C2×#548C2212yescomplemented
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×D42C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2212yes—
61C2×#540C2211yescharacteristic
62C2×#539C2212yes—
63C2×#539C2214yescomplemented
64C2×#538C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic, complemented
69C2×#525C2212yes—
70C2×#525C2212yescomplemented
71C22×#123C2212yes—
72C22×C22⋊Q8C2212yescomplemented
73C2×#520C2211yescharacteristic
74C2×#520C2212yescomplemented
75C2×#518C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2861C2212yescomplemented
78#2860C2214yescomplemented
79#2859C2212yescomplemented
80#2817C2212yescomplemented
81#2817C2212yescomplemented
82#2816C2212yescomplemented
83#2816C2212yescomplemented
84#2814C2214yes—
85#2814C2214yescomplemented
86#2814C2212yescomplemented
87#2814C2212yescomplemented
88#2813C2212yescomplemented
89#2813C2212yescomplemented
90#2812C2214yes—
91#2812C2214yescomplemented
92#2726C2214yescomplemented
93#2725C2214yescomplemented
94#2724C2214yescomplemented
95#2718C2214yescomplemented
96#2718C2214yescomplemented
97#2710C2214yescomplemented
98#2707C2214yescomplemented
99#2706C2214yescomplemented
100#2706C2214yescomplemented
101#2704C2214yescomplemented
102#2704C2214yescomplemented
103#2703C2214yescomplemented
104#2702C2214yescomplemented
105#2701C2214yes—
106#2701C2214yescomplemented
107#2701C2214yescomplemented
108#2700C2214yescomplemented
109#2699C2214yescomplemented
110#2698C2214yescomplemented
111#2698C2214yescomplemented
112#2697C2214yes—
113#2689C2214yescomplemented
114#2687C2214yescomplemented
115#2685C2214yescomplemented
116#2683C2214yescomplemented
117#2682C2214yes—
118#2681C2214yescomplemented
119#2681C2214yescomplemented
120#2680C2214yescomplemented
121#2680C2214yescomplemented
122#2678C2214yes—
123#2678C2214yescomplemented
124#2664C2212yescomplemented
125#2664C2214yescomplemented
126#2664C2211yescharacteristic, complemented
127#2664C2211yescharacteristic, complemented
128#2663C2211yescharacteristic
129#2663C2212yes—
130#2663C2211yescharacteristic, complemented
131#2663C2212yescomplemented
132#2663C2212yescomplemented
133#2663C2212yescomplemented
134#2663C2212yescomplemented
135#2663C2212yescomplemented
136#2662C2212yescomplemented
137#2662C2211yescharacteristic, complemented
138#2662C2211yescharacteristic, complemented
139#2661C2211yescharacteristic
140#2661C2212yes—
141#2661C2212yescomplemented
142#2661C2211yescharacteristic, complemented
143#2660C2211yescharacteristic, complemented
144#2658C2211yescharacteristic, complemented
145#2642C2211yescharacteristic, complemented
146#2640C2211yescharacteristic, complemented
147#2638C2212yescomplemented
148#2638C2212yescomplemented
149#2635C2212yescomplemented
150#2635C2212yescomplemented
151#2630C2214yes—
152#2630C2214yescomplemented
153#2627C2212yescomplemented
154#2627C2212yescomplemented
155#2626C2212yescomplemented
156#2626C2212yescomplemented
157#2625C2214yescomplemented
158#2625C2212yescomplemented
159#2624C2212yescomplemented
160#2623C2212yescomplemented
161#2623C2212yescomplemented
162#2622C2214yes—
163#2622C2214yescomplemented
164#2622C2214yescomplemented
165#2621C2212yescomplemented
166#2620C2212yes—
167#2616C2214yescomplemented
168#2616C2212yescomplemented
169#2615C2212yescomplemented
170#2614C2212yescomplemented
171#2614C2212yescomplemented
172#2613C2214yes—
173#2611C2212yescomplemented
174#2610C2212yescomplemented
175#2604C2212yescomplemented
176#2604C2212yescomplemented
177#2602C2214yescomplemented
178#2602C2214yescomplemented
179#2602C2214yescomplemented
180#2602C2214yescomplemented
181#2602C2214yescomplemented
182#2592C2211yescharacteristic, complemented
183#2591C2214yescomplemented
184#2584C2211yescharacteristic, complemented
185#2583C2214yescomplemented
186#2583C2214yescomplemented
187#2568C2211yescharacteristic, complemented
188#2567C2211yescharacteristic, complemented
189#2563C2211yescharacteristic, complemented
190#2562C2211yescharacteristic, complemented
191#2561C2214yescomplemented
192#2542C2211yescharacteristic, complemented
193#2540C2211yescharacteristic, complemented
194#2500C2212yes—
195#2499C2212yescomplemented
196#2487C2212yescomplemented
197#2487C2212yescomplemented
198#2485C2214yescomplemented
199#2484C2212yescomplemented
200#2483C2214yescomplemented
201#2482C2212yescomplemented
202#2480C2214yescomplemented
203#2478C2214yescomplemented
204#2478C2214yescomplemented
205#2476C2214yescomplemented
206#2474C2214yescomplemented
207#2474C2214yescomplemented
208#2472C2214yescomplemented
209#2470C2214yescomplemented
210#2468C2214yescomplemented
211#2468C2214yescomplemented
212#2466C2214yescomplemented
213#2464C2214yescomplemented
214#2461C2214yescomplemented
215#2461C2214yescomplemented
216#2459C2214yescomplemented
217#2457C2214yescomplemented
218#2453C2212yescomplemented
219#2452C2212yescomplemented
220#2451C2212yescomplemented
221#2451C2212yescomplemented
222#2447C2212yes—
223#2447C2212yes—
224#2447C2212yescomplemented
225#2445C2212yes—
226#2442C2212yescomplemented
227#2440C2212yescomplemented
228#2440C2212yescomplemented
229#2439C2212yescomplemented
230#2435C2212yes—
231#2432C2212yes—
232#2432C2212yescomplemented
233#2431C2212yes—
234#2429C2212yescomplemented
235#2429C2212yescomplemented
236#2427C2212yescomplemented
237#2426C2212yescomplemented
238#2422C2212yes—
239#2422C2212yes—
240#2420C2212yes—
241#2420C2212yescomplemented
242#2417C2212yescomplemented
243#2417C2212yescomplemented
244#2416C2212yescomplemented
245#2415C2212yes—
246#2415C2214yescomplemented
247#2415C2214yescomplemented
248#2415C2214yescomplemented
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2415C2212yescomplemented
252#2414C2212yes—
253#2414C2214yescomplemented
254#2413C2214yescomplemented
255#2413C2214yescomplemented
256#2413C2214yescomplemented
257#2411C2214yescomplemented
258#2409C2212yescomplemented
259#2409C2212yescomplemented
260#2408C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yescomplemented
264#2407C2214yescomplemented
265#2406C2212yescomplemented
266#2405C2214yes—
267#2404C2212yescomplemented
268#2399C2211yescharacteristic, complemented
269#2398C2211yescharacteristic, complemented
270#2398C2211yescharacteristic, complemented
271#2397C2211yescharacteristic, complemented
272#2396C2212yescomplemented
273#2396C2212yescomplemented
274#2395C2214yescomplemented
275#2392C2212yes—
276#2392C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2212yescomplemented
280#2323C2212yescomplemented
281#2319C2211yescharacteristic
282#2319C2211yescharacteristic
283#2319C2211yescharacteristic, complemented
284#2319C2212yescomplemented
285#2319C2211yescharacteristic, complemented
286#2319C2212yescomplemented
287#2316C2212yescomplemented
288#2312C2214yescomplemented
289#2309C2212yes—
290C4×C4⋊Q8C2212yescomplemented
291C4×#124C2212yescomplemented
292#2293C2212yes—
293#2293C2214yescomplemented
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296#2293C2212yescomplemented
297#2280C2212yescomplemented
298#2280C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#559—28no—
311#556—28no—
312#554—28no—
313#554—216no—
314#553—216no—
315#553—28no—
316#552—216no—
317#552—28no—
318#551—216no—
319#551—216no—
320#551—232no—
321D4×Q8—28no—
322#548—216no—
323#547—28no—
324#547—28no—
325#547—28no—
326#546—28no—
327#546—216no—
328#546—28no—
329#546—216no—
330D42—28no—
331#542—28no—
332#542—216no—
333#540—28no—
334#539—216no—
335#539—232no—
336#538—216no—
337#533—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344#529—28no—
345#529—28no—
346#529—28no—
347C2×#126C2311yescharacteristic
348C2×#126C2311yescharacteristic
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2311yescharacteristic
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372#525—216no—
373#525—216no—
374C2×#123—216no—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2311yescharacteristic
384C2×#123C2312yes—
385C2×#123C2311yescharacteristic
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×C22⋊Q8—216no—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#120C2314yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2314yes—
446#520—28no—
447#520—216no—
448#518—28no—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×D4D4116yescomplemented
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2314yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C42C2311yescharacteristic
513#400C2311yescharacteristic
514#400C2312yes—
515#400C2312yes—
516#400C2314yes—
517#400C2314yes—
518#400C2312yes—
519#400C2312yes—
520#400C2311yescharacteristic
521#400C2312yes—
522#400C2314yes—
523#400C2312yes—
524#399C2311yescharacteristic
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2311yescharacteristic
530#399C2312yes—
531#399C2314yes—
532#399C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2311yescharacteristic
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2312yes—
549#398C2314yes—
550#398C2312yes—
551#398C2311yescharacteristic
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2311yescharacteristic
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2312yes—
574#397C2312yes—
575#397C2311yescharacteristic
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#395C2311yescharacteristic
591#395C2312yes—
592#395C2314yes—
593#395C2314yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2314yes—
598#395C2314yes—
599#395C2311yescharacteristic
600#395C2312yes—
601#395C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
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#394C2312yes—
622#394C2311yescharacteristic
623#394C2314yes—
624#394C2314yes—
625#394C2312yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2311yescharacteristic
637#394C2312yes—
638#393C2311yescharacteristic
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2314yes—
643#393C2314yes—
644#393C2312yes—
645#393C2311yescharacteristic
646#393C2312yes—
647#393C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2312yes—
654#392C2312yes—
655#392C2311yescharacteristic
656#392C2314yes—
657#392C2314yes—
658#392C2312yes—
659#392C2311yescharacteristic
660#392C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2314yes—
681#390C2312yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#390C2312yes—
689#390C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2314yes—
698#389C2312yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2314yes—
715#389C2312yes—
716#389C2312yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#388C2314yes—
737#388C2314yes—
738#388C2312yes—
739#388C2312yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#384C2312yes—
790#384C2312yes—
791#384C2312yes—
792#382C2312yes—
793#382C2312yes—
794#382C2312yes—
795#381C2312yes—
796#381C2312yes—
797#381C2314yes—
798#381C2314yes—
799#381C2312yes—
800#381C2312yes—
801#381C2314yes—
802#381C2314yes—
803#381C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2311yescharacteristic
848#376C2312yes—
849C43C2312yes—
850C43C2312yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—84no—
861C2×#41—84no—
862C22×Q8—28no—
863C22×Q8—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—84no—
876C22×D4C2×D418yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C23×C4—84no—
900C23×C4C2×D4116yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—44no—
926#127—24no—
927#126—28no—
928#126—28no—
929#126—216no—
930#126—216no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—24no—
935#126—24no—
936#125—28no—
937#125—216no—
938#125—24no—
939#125—24no—
940#125—24no—
941#125—24no—
942#125—28no—
943#124—28no—
944#124—24no—
945#124—28no—
946#124—28no—
947#124—216no—
948#124—24no—
949#124—24no—
950#124—24no—
951#124—44no—
952#123—28no—
953#123—216no—
954#123—24no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—24no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—216no—
969#123—216no—
970#123—28no—
971#123—84no—
972#123—84no—
973#123—84no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—84no—
997C22⋊Q8—84no—
998C22⋊Q8—84no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—24no—
1010#121—24no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—44no—
1015#121—84no—
1016#120—28no—
1017#120—28no—
1018#120—216no—
1019#120—28no—
1020#120—28no—
1021#120—84no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—24no—
1028C4×Q8—28no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—216no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4C2×D418yes—
1052C4×D4C2×D418yes—
1053C4×D4C2×D4116yes—
1054C4×D4C2×D418yes—
1055C4×D4C2×D418yes—
1056C4×D4C2×D4116yes—
1057#117—28no—
1058#117—28no—
1059#117—28no—
1060#117—24no—
1061#117—28no—
1062#117—216no—
1063#117—24no—
1064#117—24no—
1065#117—28no—
1066#117—28no—
1067#117—44no—
1068#117—44no—
1069#117—84no—
1070#117—84no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4C2×D418yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C22⋊C4—216no—
1145C2×C22⋊C4—28no—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4C2×D4116yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C42C2×D418yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297C24—24no—
1298C24—44no—
1299C24—44no—
1300C24—42no—
1301C24—42no—
1302C24—44no—
1303C24—44no—
1304C24—42no—
1305C24—42no—
1306C24C22×D418yes—
1307C24C2511yescharacteristic
1308C24C2512yes—
1309C24C2512yes—
1310C24C2511yescharacteristic
1311C24C2511yescharacteristic
1312C24C2512yes—
1313C24C2512yes—
1314#41—416no—
1315#41—432no—
1316#41—816no—
1317#41—816no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—28no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—42no—
1329C2×Q8—44no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—41no—
1334C2×Q8—41no—
1335C2×Q8—816no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—416no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—416no—
1388C2×D4—816no—
1389C2×D4C22×D414yes—
1390C2×D4C22×D414yes—
1391C2×D4C22×D418yes—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—28no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—816no—
1432C22×C4C22×D414yes—
1433C22×C4C22×D414yes—
1434C22×C4C22×D414yes—
1435C22×C4C22×D418yes—
1436C22×C4C22×D418yes—
1437C22×C4C22×D418yes—
1438C22×C4C22×D418yes—
1439C22×C4C22×D418yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—28no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4C22×D414yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D418yes—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4C22×D418yes—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—28no—
1615C42—28no—
1616C42—22no—
1617C42—24no—
1618C42—22no—
1619C42—24no—
1620C42—24no—
1621C42—42no—
1622C42—42no—
1623C42—42no—
1624C42—42no—
1625C42—44no—
1626C42—42no—
1627C42—42no—
1628C42—44no—
1629C42C22×D414yes—
1630C42C22×D414yes—
1631C42C22×D414yes—
1632C42C22×D414yes—
1633C23—22no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—48no—
1668C23—48no—
1669C23—48no—
1670C23—48no—
1671C23—84no—
1672C23—84no—
1673C23—88no—
1674C23—88no—
1675C23—164no—
1676C23—164no—
1677C23C23×D412yes—
1678C23C23×D414yes—
1679C23C23×D414yes—
1680C23C2611yescharacteristic
1681Q8—44no—
1682Q8—48no—
1683Q8—44no—
1684Q8—48no—
1685Q8—82no—
1686Q8—88no—
1687Q8—84no—
1688D4—28no—
1689D4—28no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—48no—
1694D4—44no—
1695D4—48no—
1696D4—416no—
1697D4—48no—
1698D4—44no—
1699D4—44no—
1700D4—82no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—88no—
1707D4—84no—
1708D4—84no—
1709D4—164no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—28no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—24no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—416no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—84no—
1787C2×C4—88no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—88no—
1793C2×C4C23×D412yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D414yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4#58514yes—
1802C22—22no—
1803C22—24no—
1804C22—24no—
1805C22—22no—
1806C22—24no—
1807C22—24no—
1808C22—22no—
1809C22—24no—
1810C22—24no—
1811C22—44no—
1812C22—42no—
1813C22—44no—
1814C22—44no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—44no—
1835C22—42no—
1836C22—41no—
1837C22—41no—
1838C22—42no—
1839C22—816no—
1840C22—168no—
1841C22C24×D411yescharacteristic
1842C22C2×#58512yes—
1843C22H(7,𝔽2)12yes—
1844C222−1+611yescharacteristic
1845C222−1+611yescharacteristic
1846C4—22no—
1847C4—22no—
1848C4—24no—
1849C4—24no—
1850C4—22no—
1851C4—22no—
1852C4—22no—
1853C4—41no—
1854C4—42no—
1855C4—41no—
1856C4—44no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—44no—
1865C4—42no—
1866C4—44no—
1867C4—42no—
1868C4—41no—
1869C4—42no—
1870C4—41no—
1871C4—42no—
1872C4—44no—
1873C4#344914yes—
1874C2—44no—
1875C2—42no—
1876C2—44no—
1877C2—82no—
1878C2—81no—
1879C2—82no—
1880C2—81no—
1881C2C2×#344911yescharacteristic
1882C2#6284211yescharacteristic
1883C2#6285911yescharacteristic
1884C2#6288212yes—
1885C2#6288412yes—
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×#3520C2semidirect
2. C2×#3513C2semidirect
3. #42683C2semidirect
4. #42680C2semidirect
5. #42679C2semidirect
6. #42676C2semidirect
7. #42675C2semidirect
8. #42673C2semidirect
9. #42485C2semidirect
10. #42482C2semidirect
11. #42481C2semidirect
12. #42478C2semidirect
13. #42477C2semidirect
14. #42474C2semidirect
15. #42173C2semidirect
16. #42172C2semidirect
17. #42169C2semidirect
18. #42168C2semidirect
19. #41415C2semidirect
20. #41414C2semidirect
21. #37445C2semidirect
22. #37443C2semidirect
23. #37441C2semidirect
24. #37438C2semidirect
25. #37133C2semidirect
26. #37131C2semidirect
27. #35611C2semidirect
28. #35606C2semidirect
29. #35606C2semidirect
30. #35601C2semidirect
31. #35212C2semidirect
32. #35201C2semidirect
33. #34643C2semidirect
34. #34631C2semidirect
35. #34058C2semidirect
41. C2×#554C22semidirect
45. C2×#552C22semidirect
48. C2×#551C22semidirect
49. C2×D4×Q8C22semidirect
50. C2×#548C22semidirect
53. C2×#547C22semidirect
63. C2×#539C22semidirect
65. C2×#533C22semidirect
68. C2×#529C22semidirect
70. C2×#525C22semidirect
72. C22×C22⋊Q8C22semidirect
74. C2×#520C22semidirect
77. #2861C22semidirect
78. #2860C22semidirect
79. #2859C22semidirect
80. #2817C22semidirect
81. #2817C22semidirect
82. #2816C22semidirect
83. #2816C22semidirect
85. #2814C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2813C22semidirect
89. #2813C22semidirect
91. #2812C22semidirect
92. #2726C22semidirect
93. #2725C22semidirect
94. #2724C22semidirect
95. #2718C22semidirect
96. #2718C22semidirect
97. #2710C22semidirect
98. #2707C22semidirect
99. #2706C22semidirect
100. #2706C22semidirect
101. #2704C22semidirect
102. #2704C22semidirect
103. #2703C22semidirect
104. #2702C22semidirect
106. #2701C22semidirect
107. #2701C22semidirect
108. #2700C22semidirect
109. #2699C22semidirect
110. #2698C22semidirect
111. #2698C22semidirect
113. #2689C22semidirect
114. #2687C22semidirect
115. #2685C22semidirect
116. #2683C22semidirect
118. #2681C22semidirect
119. #2681C22semidirect
120. #2680C22semidirect
121. #2680C22semidirect
123. #2678C22semidirect
124. #2664C22semidirect
125. #2664C22semidirect
126. #2664C22semidirect
127. #2664C22semidirect
130. #2663C22semidirect
131. #2663C22semidirect
132. #2663C22semidirect
133. #2663C22semidirect
134. #2663C22semidirect
135. #2663C22semidirect
136. #2662C22semidirect
137. #2662C22semidirect
138. #2662C22semidirect
141. #2661C22semidirect
142. #2661C22semidirect
143. #2660C22semidirect
144. #2658C22semidirect
145. #2642C22semidirect
146. #2640C22semidirect
147. #2638C22semidirect
148. #2638C22semidirect
149. #2635C22semidirect
150. #2635C22semidirect
152. #2630C22semidirect
153. #2627C22semidirect
154. #2627C22semidirect
155. #2626C22semidirect
156. #2626C22semidirect
157. #2625C22semidirect
158. #2625C22semidirect
159. #2624C22semidirect
160. #2623C22semidirect
161. #2623C22semidirect
163. #2622C22semidirect
164. #2622C22semidirect
165. #2621C22semidirect
167. #2616C22semidirect
168. #2616C22semidirect
169. #2615C22semidirect
170. #2614C22semidirect
171. #2614C22semidirect
173. #2611C22semidirect
174. #2610C22semidirect
175. #2604C22semidirect
176. #2604C22semidirect
177. #2602C22semidirect
178. #2602C22semidirect
179. #2602C22semidirect
180. #2602C22semidirect
181. #2602C22semidirect
182. #2592C22semidirect
183. #2591C22semidirect
184. #2584C22semidirect
185. #2583C22semidirect
186. #2583C22semidirect
187. #2568C22semidirect
188. #2567C22semidirect
189. #2563C22semidirect
190. #2562C22semidirect
191. #2561C22semidirect
192. #2542C22semidirect
193. #2540C22semidirect
195. #2499C22semidirect
196. #2487C22semidirect
197. #2487C22semidirect
198. #2485C22semidirect
199. #2484C22semidirect
200. #2483C22semidirect
201. #2482C22semidirect
202. #2480C22semidirect
203. #2478C22semidirect
204. #2478C22semidirect
205. #2476C22semidirect
206. #2474C22semidirect
207. #2474C22semidirect
208. #2472C22semidirect
209. #2470C22semidirect
210. #2468C22semidirect
211. #2468C22semidirect
212. #2466C22semidirect
213. #2464C22semidirect
214. #2461C22semidirect
215. #2461C22semidirect
216. #2459C22semidirect
217. #2457C22semidirect
218. #2453C22semidirect
219. #2452C22semidirect
220. #2451C22semidirect
221. #2451C22semidirect
224. #2447C22semidirect
226. #2442C22semidirect
227. #2440C22semidirect
228. #2440C22semidirect
229. #2439C22semidirect
232. #2432C22semidirect
234. #2429C22semidirect
235. #2429C22semidirect
236. #2427C22semidirect
237. #2426C22semidirect
241. #2420C22semidirect
242. #2417C22semidirect
243. #2417C22semidirect
244. #2416C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
253. #2414C22semidirect
254. #2413C22semidirect
255. #2413C22semidirect
256. #2413C22semidirect
257. #2411C22semidirect
258. #2409C22semidirect
259. #2409C22semidirect
263. #2407C22semidirect
264. #2407C22semidirect
265. #2406C22semidirect
267. #2404C22semidirect
268. #2399C22semidirect
269. #2398C22semidirect
270. #2398C22semidirect
271. #2397C22semidirect
272. #2396C22semidirect
273. #2396C22semidirect
274. #2395C22semidirect
276. #2392C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
280. #2323C22semidirect
283. #2319C22semidirect
284. #2319C22semidirect
285. #2319C22semidirect
286. #2319C22semidirect
287. #2316C22semidirect
288. #2312C22semidirect
290. C4×C4⋊Q8C22semidirect
291. C4×#124C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2293C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C4×#117C22semidirect
300. C4×#117C22semidirect
456. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#35132
#426832
#426802
#426792
#426762
#426752
#426732
#424852
#424822
#424812
#424782
#424772
#424742
#421732
#421722
#421692
#421682
#414152
#414142
#374452
#374432
#374412
#374382
#371332
#371312
#356112
#356062
#356012
#352122
#352012
#346432
#346312
#340582