Finite Group Databasebeta

← #7650145

Subgroups — #7650145

Order 512.

7496 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic, complemented
3#42970C212yesmaximal, complemented
4#42928C212yesmaximal, complemented
5#42798C212yesmaximal, complemented
6#42794C212yesmaximal, complemented
7#42477C212yesmaximal, complemented
8#42477C212yesmaximal, complemented
9#42440C212yesmaximal, complemented
10#42428C212yesmaximal, complemented
11#40518C214yesmaximal, complemented
12#40493C214yesmaximal, complemented
13#39959C212yesmaximal, complemented
14#39958C212yesmaximal, complemented
15#39878C212yesmaximal, complemented
16#39852C212yesmaximal, complemented
17#39614C212yesmaximal, complemented
18#39598C212yesmaximal, complemented
19#39359C212yesmaximal, complemented
20#39340C212yesmaximal, complemented
21#38357C214yesmaximal, complemented
22#37649C214yesmaximal, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic, complemented
25#35564C211yesmaximal, characteristic, complemented
26#35532C211yesmaximal, characteristic, complemented
27#35518C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35223C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic, complemented
34C2×#2440C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3492—216no—
38C2×#556C2212yescomplemented
39C2×#555C2212yescomplemented
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2212yescomplemented
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2214yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#548C2214yes—
49C2×#547C2212yes—
50C2×#547C2212yes—
51C2×#547C2212yescomplemented
52C2×#544C2211yescharacteristic
53C2×#542C2212yescomplemented
54C2×#542C2212yescomplemented
55C2×#539C2214yes—
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic
59C2×#537C2214yes—
60C2×#537C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2212yescomplemented
65C22×C4⋊Q8C2211yescharacteristic
66C2×#525C2214yes—
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C22×C22⋊Q8C2212yes—
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×#520C2211yescharacteristic
75C2×#520C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic
79#2857C2212yescomplemented
80#2857C2212yescomplemented
81#2856C2212yescomplemented
82#2851C2212yescomplemented
83#2847C2214yes—
84#2823C2214yescomplemented
85#2820C2214yescomplemented
86#2814C2214yescomplemented
87#2814C2214yescomplemented
88#2726C2214yescomplemented
89#2722C2214yescomplemented
90#2715C2214yescomplemented
91#2715C2214yescomplemented
92#2707C2214yes—
93#2707C2214yescomplemented
94#2704C2214yes—
95#2704C2214yescomplemented
96#2704C2214yescomplemented
97#2704C2214yescomplemented
98#2695C2214yes—
99#2695C2214yescomplemented
100#2691C2214yes—
101#2691C2214yescomplemented
102#2683C2214yes—
103#2683C2214yes—
104#2683C2214yescomplemented
105#2683C2214yescomplemented
106#2682C2214yes—
107#2681C2214yes—
108#2681C2214yes—
109#2681C2214yes—
110#2681C2214yescomplemented
111#2676C2214yes—
112#2676C2214yes—
113#2675C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yes—
119#2671C2214yescomplemented
120#2664C2214yescomplemented
121#2662C2214yescomplemented
122#2659C2214yescomplemented
123#2637C2214yescomplemented
124#2636C2214yes—
125#2630C2214yes—
126#2630C2214yescomplemented
127#2629C2212yescomplemented
128#2629C2214yescomplemented
129#2628C2212yescomplemented
130#2620C2214yes—
131#2620C2212yescomplemented
132#2620C2212yescomplemented
133#2618C2214yes—
134#2618C2214yescomplemented
135#2616C2214yes—
136#2616C2214yescomplemented
137#2609C2214yes—
138#2601C2214yes—
139#2601C2214yescomplemented
140#2584C2214yescomplemented
141#2579C2214yes—
142#2567C2212yescomplemented
143#2566C2212yescomplemented
144#2565C2212yescomplemented
145#2543C2214yes—
146#2543C2214yes—
147#2542C2212yescomplemented
148#2540C2214yes—
149#2538C2214yes—
150#2538C2212yes—
151#2538C2212yes—
152#2538C2212yescomplemented
153#2538C2212yescomplemented
154#2537C2212yes—
155#2537C2212yes—
156#2537C2212yescomplemented
157#2537C2212yescomplemented
158#2536C2212yes—
159#2536C2212yes—
160#2535C2212yes—
161#2535C2212yes—
162#2454C2212yescomplemented
163#2453C2212yescomplemented
164#2452C2212yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2451C2212yescomplemented
168#2451C2212yescomplemented
169#2451C2212yescomplemented
170#2450C2214yes—
171#2449C2214yes—
172#2449C2214yes—
173#2449C2214yes—
174#2441C2212yescomplemented
175#2441C2212yescomplemented
176#2440C2212yes—
177#2440C2212yes—
178#2440C2212yes—
179#2440C2212yes—
180#2440C2212yes—
181#2440C2212yes—
182#2440C2212yes—
183#2440C2212yes—
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2440C2212yescomplemented
188#2439C2212yescomplemented
189#2439C2212yescomplemented
190#2430C2214yes—
191#2430C2214yescomplemented
192#2429C2211yescharacteristic
193#2429C2211yescharacteristic
194#2429C2211yescharacteristic
195#2429C2211yescharacteristic
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2428C2211yescharacteristic
199#2428C2211yescharacteristic
200#2428C2211yescharacteristic
201#2428C2211yescharacteristic
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2427C2211yescharacteristic
205#2427C2211yescharacteristic
206#2427C2211yescharacteristic
207#2427C2211yescharacteristic
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2211yescharacteristic
211#2426C2211yescharacteristic
212#2426C2211yescharacteristic
213#2426C2211yescharacteristic
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2425C2212yes—
217#2425C2212yes—
218#2425C2214yes—
219#2425C2214yes—
220#2425C2212yes—
221#2425C2212yes—
222#2424C2212yes—
223#2424C2212yes—
224#2424C2214yes—
225#2424C2214yes—
226#2424C2212yes—
227#2424C2212yes—
228#2417C2214yes—
229#2417C2212yes—
230#2417C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2214yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2214yes—
239#2416C2214yes—
240#2416C2214yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2214yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2212yes—
255#2414C2212yes—
256#2414C2212yescomplemented
257#2414C2212yescomplemented
258#2409C2214yes—
259#2407C2214yes—
260#2407C2214yes—
261#2392C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#398C2212yes—
266C2×#395C2212yes—
267#2351C2212yescomplemented
268Q8×C4⋊C4C2212yescomplemented
269#2349C2214yes—
270#2349C2212yescomplemented
271D4×C4⋊C4C2214yes—
272D4×C4⋊C4C2212yescomplemented
273#2325C2214yes—
274#2324C2214yes—
275#2323C2214yes—
276#2317C2211yescharacteristic
277#2317C2211yescharacteristic
278#2317C2212yescomplemented
279#2316C2211yescharacteristic
280#2316C2212yescomplemented
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2311C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289#2297C2211yescharacteristic
290#2297C2211yescharacteristic
291#2296C2211yescharacteristic
292#2296C2211yescharacteristic
293#2296C2212yescomplemented
294C2×#389C2211yescharacteristic
295C2×#389C2211yescharacteristic
296C2×#389C2212yescomplemented
297C2×#385C2212yes—
298C2×#384C2211yescharacteristic
299C2×#380C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2314yes—
307C23×Q8C2312yes—
308C24×C4C2311yescharacteristic
309C24×C4C2312yes—
310#556—216no—
311#555—216no—
312#554—216no—
313#554—216no—
314#554—216no—
315#553—216no—
316#553—232no—
317#553—216no—
318#552—216no—
319#552—216no—
320#548—232no—
321#547—216no—
322#547—216no—
323#547—216no—
324#544—28no—
325#542—216no—
326#542—216no—
327#539—232no—
328#537—28no—
329#537—28no—
330#537—28no—
331#537—44no—
332#537—416no—
333#533—216no—
334#532—28no—
335#532—216no—
336#532—44no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2311yescharacteristic
364#525—28no—
365#525—232no—
366#525—28no—
367#525—44no—
368#525—44no—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×C22⋊Q8—48no—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454#520—28no—
455#520—28no—
456#520—44no—
457#520D4116yescomplemented
458C4×#41—28no—
459C4×#41—44no—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2314yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2314yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C22×C4⋊C4—28no—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2312yes—
532C22×C22⋊C4C2311yescharacteristic
533C22×C22⋊C4C2311yescharacteristic
534C22×C22⋊C4C2312yes—
535C22×C42C2312yes—
536C22×C42C2311yescharacteristic
537C22×C42C2311yescharacteristic
538C22×C42C2312yes—
539#400C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#396C2312yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2312yes—
578#396C2312yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2312yes—
584#396C2314yes—
585#396C2312yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2314yes—
601#395C2314yes—
602#395C2314yes—
603#395C2314yes—
604#395C2314yes—
605#395C2314yes—
606#395C2314yes—
607#395C2314yes—
608#395C2314yes—
609#395C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#393C2314yes—
641#393C2314yes—
642#393C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2314yes—
651#391C2311yescharacteristic
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2311yescharacteristic
657#391C2314yes—
658#391C2314yes—
659#391C2314yes—
660#391C2311yescharacteristic
661#391C2311yescharacteristic
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2311yescharacteristic
676#390C2311yescharacteristic
677#390C2311yescharacteristic
678#390C2312yes—
679#390C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2311yescharacteristic
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2312yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2311yescharacteristic
705#389C2312yes—
706#389C2312yes—
707#389C2311yescharacteristic
708#389C2314yes—
709#389C2312yes—
710#389C2314yes—
711#389C2312yes—
712#389C2311yescharacteristic
713#389C2312yes—
714#389C2311yescharacteristic
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2314yes—
727#388C2312yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2312yes—
769#386C2312yes—
770#386C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2314yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#384C2312yes—
792#384C2312yes—
793#384C2312yes—
794#384C2314yes—
795#384C2312yes—
796#384C2312yes—
797#384C2312yes—
798#382C2314yes—
799#382C2312yes—
800#382C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#380C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2312yes—
851C2×#95C2311yescharacteristic
852C2×#95C2312yes—
853C25C2411yescharacteristic
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—216no—
858C2×#41—216no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—48no—
868C2×#41—48no—
869C2×#41—84no—
870C2×#41—84no—
871C2×#41C2×D418yes—
872C22×Q8—28no—
873C22×Q8—44no—
874C22×Q8—82no—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2414yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2414yes—
881C22×Q8C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4—82no—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2412yes—
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C4⋊Q8—24no—
941C4⋊Q8—28no—
942C4⋊Q8—28no—
943C4⋊Q8—28no—
944C4⋊Q8—28no—
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—42no—
948#127—24no—
949#127—42no—
950#126—216no—
951#126—216no—
952#126—216no—
953#126—216no—
954#125—216no—
955#125—216no—
956#125—28no—
957#125—216no—
958#125—28no—
959#124—24no—
960#124—24no—
961#124—216no—
962#124—216no—
963#124—216no—
964#124—42no—
965#124—42no—
966#123—28no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—28no—
972#123—216no—
973#123—216no—
974#123—44no—
975#123—44no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—24no—
985C22⋊Q8—216no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—48no—
995C22⋊Q8—48no—
996C22⋊Q8—48no—
997C22⋊Q8—48no—
998C22⋊Q8—48no—
999C22⋊Q8—48no—
1000C22⋊Q8—42no—
1001C22⋊Q8—42no—
1002C22⋊Q8—42no—
1003C22⋊Q8—42no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—84no—
1007C22⋊Q8—84no—
1008#121—216no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—28no—
1017#121—28no—
1018#121—216no—
1019#121—24no—
1020#121—24no—
1021#121—28no—
1022#121—28no—
1023#121—216no—
1024#121—216no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—48no—
1030#121—48no—
1031#121—48no—
1032#121—48no—
1033#121—42no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037#121—44no—
1038#121—44no—
1039#121—48no—
1040#121—44no—
1041#121—44no—
1042#121—48no—
1043#121—48no—
1044#121—84no—
1045#121—84no—
1046#120—28no—
1047#120—28no—
1048#120—44no—
1049#120—44no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—216no—
1055C4×Q8—42no—
1056C4×Q8—42no—
1057C4×Q8—44no—
1058C4×Q8C2×D4116yes—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—216no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—48no—
1088C4×D4C2×D4132yes—
1089C4×D4C2×D4116yes—
1090#117—24no—
1091#117—24no—
1092#117—24no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—216no—
1097#117—216no—
1098#117—44no—
1099#117—44no—
1100#117C2×D418yes—
1101#117C2×D4116yes—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4—44no—
1117C2×C4⋊C4—48no—
1118C2×C4⋊C4—82no—
1119C2×C4⋊C4C2×D418yes—
1120C2×C4⋊C4C2×D4116yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C22⋊C4—24no—
1191C2×C22⋊C4—24no—
1192C2×C22⋊C4—44no—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C22⋊C4C2411yescharacteristic
1263C2×C42—24no—
1264C2×C42—24no—
1265C2×C42—28no—
1266C2×C42—44no—
1267C2×C42C2414yes—
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2411yescharacteristic
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—22no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—41no—
1337C24—41no—
1338C24C2512yes—
1339C24C2512yes—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2511yescharacteristic
1343C24C2511yescharacteristic
1344C24C2511yescharacteristic
1345#41—232no—
1346#41—416no—
1347#41—416no—
1348#41—416no—
1349#41—832no—
1350#41—832no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—28no—
1355C2×Q8—28no—
1356C2×Q8—28no—
1357C2×Q8—22no—
1358C2×Q8—28no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—44no—
1367C2×Q8—44no—
1368C2×Q8—44no—
1369C2×Q8—44no—
1370C2×Q8—44no—
1371C2×Q8—816no—
1372C2×Q8C22×D414yes—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4C22×D418yes—
1444C2×D4C22×D414yes—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—28no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—41no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—42no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—416no—
1524C22×C4—816no—
1525C22×C4C22×D418yes—
1526C22×C4C22×D418yes—
1527C22×C4C22×D4116yes—
1528C22×C4C22×D414yes—
1529C22×C4H(5,𝔽2)14yes—
1530C22×C42−1+414yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2514yes—
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2514yes—
1548C22×C4C2514yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2514yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—28no—
1566C4⋊C4—24no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—28no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—28no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—28no—
1590C4⋊C4—28no—
1591C4⋊C4—28no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—42no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—42no—
1614C4⋊C4—42no—
1615C4⋊C4—42no—
1616C4⋊C4—42no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—42no—
1621C4⋊C4—42no—
1622C4⋊C4—44no—
1623C4⋊C4C22×D418yes—
1624C4⋊C4C22×D418yes—
1625C4⋊C4C22×D414yes—
1626C4⋊C4C22×D4116yes—
1627C4⋊C4C22×D414yes—
1628C22⋊C4—24no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—22no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—22no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—22no—
1661C22⋊C4—22no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4C22×D418yes—
1695C22⋊C4C22×D4116yes—
1696C22⋊C4H(5,𝔽2)14yes—
1697C22⋊C42−1+414yes—
1698C42—22no—
1699C42—22no—
1700C42—24no—
1701C42—22no—
1702C42—22no—
1703C42—24no—
1704C42—28no—
1705C42—28no—
1706C42—24no—
1707C42—22no—
1708C42—22no—
1709C42—22no—
1710C42—22no—
1711C42—24no—
1712C42—24no—
1713C42—42no—
1714C42—42no—
1715C42—44no—
1716C42C22×D418yes—
1717C42C22×D4116yes—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—28no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—22no—
1729C23—22no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—21no—
1737C23—22no—
1738C23—22no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—44no—
1763C23—44no—
1764C23—44no—
1765C23—44no—
1766C23—44no—
1767C23—44no—
1768C23C23×D414yes—
1769C23C23×D412yes—
1770C23C2×H(5,𝔽2)12yes—
1771C23C2×H(5,𝔽2)12yes—
1772C23C2×2−1+412yes—
1773C23C2×2−1+412yes—
1774C23C2611yescharacteristic
1775Q8—28no—
1776Q8—416no—
1777Q8—44no—
1778Q8—44no—
1779Q8—44no—
1780Q8—88no—
1781Q8—88no—
1782D4—216no—
1783D4—28no—
1784D4—48no—
1785D4—48no—
1786D4—48no—
1787D4—48no—
1788D4—48no—
1789D4—48no—
1790D4—48no—
1791D4—48no—
1792D4—48no—
1793D4—44no—
1794D4—44no—
1795D4—44no—
1796D4—84no—
1797D4—84no—
1798D4—88no—
1799D4—84no—
1800D4—84no—
1801D4—84no—
1802D4—84no—
1803D4—88no—
1804D4—88no—
1805D4—164no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—216no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—24no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—48no—
1878C2×C4—416no—
1879C2×C4—48no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—416no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—88no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4—164no—
1903C2×C4#537116yescomplemented
1904C2×C4C23×D414yes—
1905C2×C4C23×D414yes—
1906C2×C4C23×D418yes—
1907C2×C4C23×D414yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×2−1+412yes—
1915C2×C4C2×2−1+412yes—
1916C2×C4C2×2−1+412yes—
1917C2×C4C2×2−1+412yes—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—24no—
1926C22—22no—
1927C22—24no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—24no—
1932C22—22no—
1933C22—416no—
1934C22—41no—
1935C22—41no—
1936C22—42no—
1937C22—42no—
1938C22—41no—
1939C22—41no—
1940C22—42no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—42no—
1945C22—41no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22C2×#53714yes—
1968C22C24×D411yescharacteristic
1969C22C22×H(5,𝔽2)11yescharacteristic
1970C22C22×H(5,𝔽2)11yescharacteristic
1971C22C22×2−1+411yescharacteristic
1972C22C22×2−1+411yescharacteristic
1973C22H(7,𝔽2)11yescharacteristic
1974C222−1+611yescharacteristic
1975C4—24no—
1976C4—28no—
1977C4—22no—
1978C4—22no—
1979C4—24no—
1980C4—22no—
1981C4—24no—
1982C4—22no—
1983C4—44no—
1984C4—41no—
1985C4—42no—
1986C4—44no—
1987C4—41no—
1988C4—42no—
1989C4—41no—
1990C4—44no—
1991C4—42no—
1992C4—42no—
1993C4—41no—
1994C4—41no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—41no—
1999C4—42no—
2000C4—42no—
2001C4C2×#53714yes—
2002C4C2×#53714yes—
2003C2—24no—
2004C2—44no—
2005C2—42no—
2006C2—42no—
2007C2—82no—
2008C2—82no—
2009C2—82no—
2010C2C22×#53711yescharacteristic
2011C2#6283311yescharacteristic
2012C2#6287711yescharacteristic
2013C2#6291411yescharacteristic
2014C2#6294411yescharacteristic
2015C2D4×H(5,𝔽2)11yescharacteristic
2016C2D4×2−1+411yescharacteristic
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×#3492C2semidirect
3. #42970C2semidirect
4. #42928C2semidirect
5. #42798C2semidirect
6. #42794C2semidirect
7. #42477C2semidirect
8. #42477C2semidirect
9. #42440C2semidirect
10. #42428C2semidirect
11. #40518C2semidirect
12. #40493C2semidirect
13. #39959C2semidirect
14. #39958C2semidirect
15. #39878C2semidirect
16. #39852C2semidirect
17. #39614C2semidirect
18. #39598C2semidirect
19. #39359C2semidirect
20. #39340C2semidirect
21. #38357C2semidirect
22. #37649C2semidirect
23. #35574C2semidirect
24. #35564C2semidirect
25. #35564C2semidirect
26. #35532C2semidirect
27. #35518C2semidirect
28. #35518C2semidirect
29. #35273C2semidirect
30. #35257C2semidirect
31. #35223C2semidirect
32. #34743C2semidirect
33. #34743C2semidirect
34. C2×#2440C2semidirect
35. #34250C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
42. C2×#554C22semidirect
51. C2×#547C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
61. C2×#533C22semidirect
64. C2×#532C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2856C22semidirect
82. #2851C22semidirect
84. #2823C22semidirect
85. #2820C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2726C22semidirect
89. #2722C22semidirect
90. #2715C22semidirect
91. #2715C22semidirect
93. #2707C22semidirect
95. #2704C22semidirect
96. #2704C22semidirect
97. #2704C22semidirect
99. #2695C22semidirect
101. #2691C22semidirect
104. #2683C22semidirect
105. #2683C22semidirect
110. #2681C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
119. #2671C22semidirect
120. #2664C22semidirect
121. #2662C22semidirect
122. #2659C22semidirect
123. #2637C22semidirect
126. #2630C22semidirect
127. #2629C22semidirect
128. #2629C22semidirect
129. #2628C22semidirect
131. #2620C22semidirect
132. #2620C22semidirect
134. #2618C22semidirect
136. #2616C22semidirect
139. #2601C22semidirect
140. #2584C22semidirect
142. #2567C22semidirect
143. #2566C22semidirect
144. #2565C22semidirect
147. #2542C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
162. #2454C22semidirect
163. #2453C22semidirect
164. #2452C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2451C22semidirect
168. #2451C22semidirect
169. #2451C22semidirect
174. #2441C22semidirect
175. #2441C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
188. #2439C22semidirect
189. #2439C22semidirect
191. #2430C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
256. #2414C22semidirect
257. #2414C22semidirect
267. #2351C22semidirect
268. Q8×C4⋊C4C22semidirect
270. #2349C22semidirect
272. D4×C4⋊C4C22semidirect
278. #2317C22semidirect
280. #2316C22semidirect
293. #2296C22semidirect
296. C2×#389C22semidirect
457. #520D4semidirect
1903. C2×C4#537semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34922
#429702
#429282
#427982
#427942
#424772
#424402
#424282
#405182
#404932
#399592
#399582
#398782
#398522
#396142
#395982
#393592
#393402
#383572
#376492
#355742
#355642
#355322
#355182
#352732
#352572
#352232
#347432
C2×#24402
#342502