Finite Group Databasebeta

← #6395835

Subgroups — #6395835

Order 512.

1819 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60797C211yesmaximal, characteristic
2#60238C211yesmaximal, characteristic, complemented
3#60212C211yesmaximal, characteristic, complemented
4#23236C211yesmaximal, characteristic, complemented
5#23236C211yesmaximal, characteristic, complemented
6#23235C211yesmaximal, characteristic, complemented
7#23234C211yesmaximal, characteristic, complemented
8#23181C211yesmaximal, characteristic, complemented
9#23181C211yesmaximal, characteristic, complemented
10#23180C211yesmaximal, characteristic, complemented
11#23179C211yesmaximal, characteristic, complemented
12#22889C211yesmaximal, characteristic, complemented
13#22889C211yesmaximal, characteristic, complemented
14#22888C211yesmaximal, characteristic, complemented
15#22888C211yesmaximal, characteristic, complemented
16#22887C211yesmaximal, characteristic, complemented
17#22887C211yesmaximal, characteristic, complemented
18#22886C211yesmaximal, characteristic, complemented
19#22886C211yesmaximal, characteristic, complemented
20#22167C211yesmaximal, characteristic, complemented
21#22167C211yesmaximal, characteristic, complemented
22#22166C211yesmaximal, characteristic, complemented
23#22165C211yesmaximal, characteristic, complemented
24#21901C211yesmaximal, characteristic, complemented
25#21519C211yesmaximal, characteristic, complemented
26#21519C211yesmaximal, characteristic, complemented
27#21518C211yesmaximal, characteristic, complemented
28#21517C211yesmaximal, characteristic, complemented
29#21372C211yesmaximal, characteristic, complemented
30#21253C211yesmaximal, characteristic, complemented
31#20541C211yesmaximal, characteristic, complemented
32#3455C2211yescharacteristic
33#3449C2211yescharacteristic
34#3225C411yescharacteristic, complemented
35#3225C411yescharacteristic, complemented
36#3225C411yescharacteristic, complemented
37#3225C411yescharacteristic, complemented
38#3224C411yescharacteristic, complemented
39#3224C411yescharacteristic, complemented
40#3224C411yescharacteristic, complemented
41#3224C411yescharacteristic, complemented
42#3223C411yescharacteristic, complemented
43#3223C411yescharacteristic, complemented
44#3222C411yescharacteristic, complemented
45#3222C411yescharacteristic, complemented
46#3221C411yescharacteristic, complemented
47#3221C411yescharacteristic, complemented
48#3220C411yescharacteristic, complemented
49#3220C411yescharacteristic, complemented
50#3150C2211yescharacteristic
51#3147C2211yescharacteristic
52#3135C2211yescharacteristic
53#3131C2211yescharacteristic
54#3035C2211yescharacteristic
55#3035C2211yescharacteristic
56#3035C2211yescharacteristic
57#3035C2211yescharacteristic
58#3002C2211yescharacteristic
59#3002C2211yescharacteristic
60#3002C2211yescharacteristic
61#3002C2211yescharacteristic
62#2978—21no—
63#2978—21no—
64#2977—21no—
65#2977—21no—
66#2976—21no—
67#2976—21no—
68#2976—21no—
69#2976—21no—
70#2969—21no—
71#2969—21no—
72#2968—21no—
73#2968—21no—
74#2967—21no—
75#2967—21no—
76#2966—21no—
77#2966—21no—
78#2962C2211yescharacteristic, complemented
79#2962C2211yescharacteristic, complemented
80C2×#444C2211yescharacteristic, complemented
81C2×#444C2211yescharacteristic, complemented
82C2×#444C2211yescharacteristic, complemented
83C2×#444C2211yescharacteristic, complemented
84C2×#443C2211yescharacteristic, complemented
85C2×#443C2211yescharacteristic, complemented
86C2×#443C2211yescharacteristic, complemented
87C2×#443C2211yescharacteristic, complemented
88#2935C2211yescharacteristic
89#2935C2211yescharacteristic
90#2935C2211yescharacteristic
91#2935C2211yescharacteristic
92#2935C2211yescharacteristic, complemented
93#2935C2211yescharacteristic, complemented
94#2933C2211yescharacteristic
95#2933C2211yescharacteristic
96#2933C2211yescharacteristic
97#2933C2211yescharacteristic
98#2932C2211yescharacteristic
99#2932C2211yescharacteristic
100#2931C2211yescharacteristic
101#2931C2211yescharacteristic
102#2923C2211yescharacteristic, complemented
103#2922C2211yescharacteristic, complemented
104#2921C2211yescharacteristic
105C2×#433C2211yescharacteristic
106C2×#433C2211yescharacteristic
107C2×#421C2211yescharacteristic
108C2×#421C2211yescharacteristic
109C22×#104C2211yescharacteristic
110C22×#104C2211yescharacteristic
111#2880C2211yescharacteristic
112#2880C2211yescharacteristic
113#2880C2211yescharacteristic
114#2880C2211yescharacteristic
115#2875C2211yescharacteristic, complemented
116C4×#131C2211yescharacteristic, complemented
117#2873C2211yescharacteristic
118#2296C2211yescharacteristic
119#1986C2211yescharacteristic, complemented
120#1986C2211yescharacteristic, complemented
121#1980C2211yescharacteristic
122#1980C2211yescharacteristic
123#1980C2211yescharacteristic
124#1980C2211yescharacteristic
125#1980C2211yescharacteristic
126#1980C2211yescharacteristic
127#1980C2211yescharacteristic
128#1980C2211yescharacteristic
129#1980C2211yescharacteristic, complemented
130#1980C2211yescharacteristic, complemented
131#1975C2211yescharacteristic, complemented
132#1975C2211yescharacteristic, complemented
133#1975C2211yescharacteristic, complemented
134#1975C2211yescharacteristic, complemented
135#1974C2211yescharacteristic, complemented
136#1974C2211yescharacteristic, complemented
137#1974C2211yescharacteristic, complemented
138#1974C2211yescharacteristic, complemented
139#1950C2211yescharacteristic, complemented
140#1950C2211yescharacteristic, complemented
141#1950C2211yescharacteristic, complemented
142#1950C2211yescharacteristic, complemented
143#1938C2211yescharacteristic, complemented
144#1938C2211yescharacteristic, complemented
145#1938C2211yescharacteristic, complemented
146#1938C2211yescharacteristic, complemented
147#1937C2211yescharacteristic, complemented
148#1937C2211yescharacteristic, complemented
149#1937C2211yescharacteristic, complemented
150#1937C2211yescharacteristic, complemented
151#1929C2211yescharacteristic, complemented
152#1929C2211yescharacteristic, complemented
153#1929C2211yescharacteristic, complemented
154#1929C2211yescharacteristic, complemented
155#1929C2211yescharacteristic, complemented
156#1929C2211yescharacteristic, complemented
157#1929C2211yescharacteristic, complemented
158#1929C2211yescharacteristic, complemented
159#1897C2211yescharacteristic
160#1897C2211yescharacteristic
161#1896C2211yescharacteristic
162#1896C2211yescharacteristic
163#1876C2211yescharacteristic, complemented
164#1876C2211yescharacteristic, complemented
165#1876C2211yescharacteristic, complemented
166#1876C2211yescharacteristic, complemented
167#1876C2211yescharacteristic, complemented
168#1876C2211yescharacteristic, complemented
169#1876C2211yescharacteristic, complemented
170#1876C2211yescharacteristic, complemented
171#1876C2211yescharacteristic, complemented
172#1876C2211yescharacteristic, complemented
173#1876C2211yescharacteristic, complemented
174#1876C2211yescharacteristic, complemented
175#1876C2211yescharacteristic, complemented
176#1876C2211yescharacteristic, complemented
177#1876C2211yescharacteristic, complemented
178#1876C2211yescharacteristic, complemented
179#1866C2211yescharacteristic, complemented
180#1866C2211yescharacteristic, complemented
181#1866C2211yescharacteristic, complemented
182#1866C2211yescharacteristic, complemented
183#1866C2211yescharacteristic, complemented
184#1866C2211yescharacteristic, complemented
185#1866C2211yescharacteristic, complemented
186#1866C2211yescharacteristic, complemented
187#1855C2211yescharacteristic
188#1855C2211yescharacteristic
189#1855C2211yescharacteristic
190#1855C2211yescharacteristic
191#1806C2211yescharacteristic, complemented
192#1806C2211yescharacteristic, complemented
193#1806C2211yescharacteristic, complemented
194#1806C2211yescharacteristic, complemented
195#1778C2211yescharacteristic, complemented
196#1778C2211yescharacteristic, complemented
197C4×#108C2211yescharacteristic, complemented
198C4×#108C2211yescharacteristic, complemented
199#1771C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1771C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1770C2211yescharacteristic, complemented
204#1770C2211yescharacteristic, complemented
205C8×C4⋊C4C2211yescharacteristic, complemented
206C8×C4⋊C4C2211yescharacteristic, complemented
207#1765C2211yescharacteristic, complemented
208#1765C2211yescharacteristic, complemented
209#1765C2211yescharacteristic, complemented
210#1765C2211yescharacteristic, complemented
211#1764C2211yescharacteristic, complemented
212#1764C2211yescharacteristic, complemented
213#1764C2211yescharacteristic, complemented
214#1764C2211yescharacteristic, complemented
215#1750C2211yescharacteristic
216#1750C2211yescharacteristic
217#1749C2211yescharacteristic
218C4×C22⋊C8C2211yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C2×#135C2311yescharacteristic
222C2×#135C2311yescharacteristic
223C2×#135C2311yescharacteristic
224C2×#135C2311yescharacteristic
225C2×#135C2311yescharacteristic
226C2×#135C2311yescharacteristic
227C2×#135C2311yescharacteristic
228C2×#135C2311yescharacteristic
229C2×#131C2311yescharacteristic
230C2×#131C2311yescharacteristic
231C2×#131C2311yescharacteristic
232C2×#131C2311yescharacteristic
233C2×#131C2311yescharacteristic
234C2×#131C2311yescharacteristic
235C2×#131C2311yescharacteristic
236C2×#131C2311yescharacteristic
237C2×#131C2311yescharacteristic
238C2×#131C2311yescharacteristic
239C2×#131C2311yescharacteristic
240C2×#131C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243#542C2×C411yescharacteristic
244#542C2×C411yescharacteristic
245#542C2×C411yescharacteristic
246#542C2×C411yescharacteristic
247#541C2×C411yescharacteristic
248#541C2×C411yescharacteristic
249#540C2×C411yescharacteristic
250#540C2×C411yescharacteristic
251#539—21no—
252#539—21no—
253#538—21no—
254#538—21no—
255#537—21no—
256#537—21no—
257#536C2×C411yescharacteristic
258#536C2×C411yescharacteristic
259#536C2×C411yescharacteristic
260#536C2×C411yescharacteristic
261#535C2×C411yescharacteristic
262#535C2×C411yescharacteristic
263#535C2×C411yescharacteristic
264#535C2×C411yescharacteristic
265#534—21no—
266#534—21no—
267#533C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#529—21no—
274#529—21no—
275#529—21no—
276#529—21no—
277#525—21no—
278#525—21no—
279#525—21no—
280#525—21no—
281#525C2311yescharacteristic
282#525C2311yescharacteristic
283C4×#41C2311yescharacteristic
284C4×#41C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C42C2311yescharacteristic
288#497C2×C411yescharacteristic, complemented
289#497C2×C411yescharacteristic, complemented
290#497C2×C411yescharacteristic, complemented
291#497C2×C411yescharacteristic, complemented
292#496C2×C411yescharacteristic, complemented
293#496C2×C411yescharacteristic, complemented
294#496C2×C411yescharacteristic, complemented
295#496C2×C411yescharacteristic, complemented
296#495C2×C411yescharacteristic, complemented
297#495C2×C411yescharacteristic, complemented
298#495C2×C411yescharacteristic, complemented
299#495C2×C411yescharacteristic, complemented
300#494C2×C411yescharacteristic, complemented
301#493C2×C411yescharacteristic, complemented
302#492C2×C411yescharacteristic, complemented
303#492C2×C411yescharacteristic, complemented
304#491C2×C411yescharacteristic, complemented
305#491C2×C411yescharacteristic, complemented
306#490C2×C411yescharacteristic, complemented
307#490C2×C411yescharacteristic, complemented
308#489C2×C411yescharacteristic, complemented
309#489C2×C411yescharacteristic, complemented
310#489C2×C411yescharacteristic, complemented
311#489C2×C411yescharacteristic, complemented
312#488C2×C411yescharacteristic, complemented
313#488C2×C411yescharacteristic, complemented
314#488C2×C411yescharacteristic, complemented
315#488C2×C411yescharacteristic, complemented
316#487C2×C411yescharacteristic, complemented
317#487C2×C411yescharacteristic, complemented
318#486C2×C411yescharacteristic, complemented
319#486C2×C411yescharacteristic, complemented
320#464C2×C411yescharacteristic, complemented
321#464C2×C411yescharacteristic, complemented
322#464C2×C411yescharacteristic, complemented
323#464C2×C411yescharacteristic, complemented
324#464C2×C411yescharacteristic, complemented
325#464C2×C411yescharacteristic, complemented
326#464C2×C411yescharacteristic, complemented
327#464C2×C411yescharacteristic, complemented
328#463C2×C411yescharacteristic, complemented
329#463C2×C411yescharacteristic, complemented
330#463C2×C411yescharacteristic, complemented
331#463C2×C411yescharacteristic, complemented
332#463C2×C411yescharacteristic, complemented
333#463C2×C411yescharacteristic, complemented
334#463C2×C411yescharacteristic, complemented
335#463C2×C411yescharacteristic, complemented
336#462C2×C411yescharacteristic, complemented
337#462C2×C411yescharacteristic, complemented
338#462C2×C411yescharacteristic, complemented
339#462C2×C411yescharacteristic, complemented
340#461C2×C411yescharacteristic, complemented
341#461C2×C411yescharacteristic, complemented
342#461C2×C411yescharacteristic, complemented
343#461C2×C411yescharacteristic, complemented
344#460C2×C411yescharacteristic, complemented
345#460C2×C411yescharacteristic, complemented
346#460C2×C411yescharacteristic, complemented
347#460C2×C411yescharacteristic, complemented
348#459C2×C411yescharacteristic, complemented
349#459C2×C411yescharacteristic, complemented
350#459C2×C411yescharacteristic, complemented
351#459C2×C411yescharacteristic, complemented
352#452C2×C411yescharacteristic
353#452C2×C411yescharacteristic
354#452C2×C411yescharacteristic
355#452C2×C411yescharacteristic
356#452C2×C411yescharacteristic
357#452C2×C411yescharacteristic
358#452C2×C411yescharacteristic
359#452C2×C411yescharacteristic
360#451C2×C411yescharacteristic
361#451C2×C411yescharacteristic
362#451C2×C411yescharacteristic
363#451C2×C411yescharacteristic
364#450C2×C411yescharacteristic
365#450C2×C411yescharacteristic
366#450C2×C411yescharacteristic
367#450C2×C411yescharacteristic
368#449C2×C411yescharacteristic
369#449C2×C411yescharacteristic
370#449C2×C411yescharacteristic
371#449C2×C411yescharacteristic
372#449C2×C411yescharacteristic
373#449C2×C411yescharacteristic
374#449C2×C411yescharacteristic
375#449C2×C411yescharacteristic
376#448C2×C411yescharacteristic
377#448C2×C411yescharacteristic
378#448C2×C411yescharacteristic
379#448C2×C411yescharacteristic
380#447C2×C411yescharacteristic
381#447C2×C411yescharacteristic
382#447C2×C411yescharacteristic
383#447C2×C411yescharacteristic
384#446—21no—
385#446—21no—
386#446—21no—
387#446—21no—
388#446—21no—
389#446—21no—
390C8×Q8—21no—
391C8×Q8—21no—
392#444—42no—
393#444—42no—
394#444—42no—
395#444—42no—
396#443—42no—
397#443—42no—
398#443—42no—
399#443—42no—
400#436—21no—
401#436—21no—
402#436—21no—
403#436—21no—
404#436—21no—
405#436—21no—
406#436—21no—
407#436—21no—
408#436—21no—
409#436—21no—
410#436—21no—
411#436—21no—
412#436—21no—
413#436—21no—
414#435—21no—
415#435—21no—
416#435—21no—
417#435—21no—
418#435—21no—
419#435—21no—
420#435—21no—
421#435—21no—
422#435—21no—
423#435—21no—
424#435—21no—
425#435—21no—
426#435—21no—
427#435—21no—
428#435—21no—
429#435—21no—
430#435—21no—
431#435—21no—
432#435—21no—
433#435—21no—
434#435—21no—
435#435—21no—
436#435—21no—
437#435—21no—
438#435—21no—
439#435—21no—
440#435—21no—
441#435—21no—
442C8×D4—21no—
443C8×D4—21no—
444C8×D4—21no—
445C8×D4—21no—
446C8×D4—21no—
447C8×D4—21no—
448C8×D4—21no—
449C8×D4—21no—
450C8×D4—21no—
451C8×D4—21no—
452C8×D4—21no—
453C8×D4—21no—
454C8×D4—21no—
455C8×D4—21no—
456#433—21no—
457#433—21no—
458#433—21no—
459#433—21no—
460#433—21no—
461#433—21no—
462#433—21no—
463#433—21no—
464#433C2×C411yescharacteristic
465#433C2×C411yescharacteristic
466#433C2×C411yescharacteristic
467#433C2×C411yescharacteristic
468#433C2×C411yescharacteristic
469#433C2×C411yescharacteristic
470#433C2×C411yescharacteristic
471#433C2×C411yescharacteristic
472#433D411yescharacteristic
473#433D411yescharacteristic
474#433D411yescharacteristic
475#433D411yescharacteristic
476#433D411yescharacteristic
477#433D411yescharacteristic
478#433D411yescharacteristic
479#433D411yescharacteristic
480#432—21no—
481#432—21no—
482#431—21no—
483#431—21no—
484C2×#108C2311yescharacteristic
485C2×#108C2311yescharacteristic
486C2×#108C2311yescharacteristic
487C2×#108C2311yescharacteristic
488C2×#108C2311yescharacteristic
489C2×#108C2311yescharacteristic
490C2×#108C2311yescharacteristic
491C2×#108C2311yescharacteristic
492#424C2311yescharacteristic
493#424C2311yescharacteristic
494#424C2311yescharacteristic
495#424C2311yescharacteristic
496#423C2311yescharacteristic
497#423C2311yescharacteristic
498C2×C4⋊C8C2311yescharacteristic
499C2×C4⋊C8C2311yescharacteristic
500C2×C4⋊C8C2311yescharacteristic
501C2×C4⋊C8C2311yescharacteristic
502#421—42no—
503#421—42no—
504C2×#104—42no—
505C2×#104—42no—
506C2×#104C2311yescharacteristic
507C2×#104C2311yescharacteristic
508C2×#104C2311yescharacteristic
509C2×#104C2311yescharacteristic
510C2×#104C2311yescharacteristic
511C2×#104C2311yescharacteristic
512C2×#104C2311yescharacteristic
513C2×#104C2311yescharacteristic
514C2×#104C2311yescharacteristic
515C2×#104C2311yescharacteristic
516C2×#104C2311yescharacteristic
517C2×#104C2311yescharacteristic
518C2×#104C2311yescharacteristic
519C2×#104C2311yescharacteristic
520C2×#104C2311yescharacteristic
521C2×#104C2311yescharacteristic
522C2×#104C2311yescharacteristic
523C2×#104C2311yescharacteristic
524C2×#104C2311yescharacteristic
525C2×#104C2311yescharacteristic
526C2×#104C2311yescharacteristic
527C2×#104C2311yescharacteristic
528C2×#104C2311yescharacteristic
529C2×#104C2311yescharacteristic
530#416C2311yescharacteristic
531#416C2311yescharacteristic
532#416C2311yescharacteristic
533#416C2311yescharacteristic
534#416C2311yescharacteristic
535#416C2311yescharacteristic
536#416C2311yescharacteristic
537#416C2311yescharacteristic
538#408—21no—
539#408—21no—
540#408—21no—
541#408—21no—
542#408—21no—
543#408—21no—
544#408—21no—
545#408—21no—
546#408C2311yescharacteristic
547#408C2311yescharacteristic
548#408C2311yescharacteristic
549#408C2311yescharacteristic
550#408C2311yescharacteristic
551#408C2311yescharacteristic
552#408C2311yescharacteristic
553#408C2311yescharacteristic
554#408C2311yescharacteristic
555#408C2311yescharacteristic
556#408C2311yescharacteristic
557#408C2311yescharacteristic
558#407—21no—
559#407—21no—
560#407—21no—
561#407—21no—
562#407C2311yescharacteristic
563#407C2311yescharacteristic
564C2×C22⋊C8—21no—
565C2×C22⋊C8—21no—
566C2×C22⋊C8—21no—
567C2×C22⋊C8—21no—
568C2×C22⋊C8C2311yescharacteristic
569C2×C22⋊C8C2311yescharacteristic
570C2×C22⋊C8C2311yescharacteristic
571C2×C22⋊C8C2311yescharacteristic
572#405—21no—
573#405—21no—
574#405—21no—
575#405—21no—
576#405—21no—
577#405—21no—
578#405—21no—
579#405—21no—
580#405C2311yescharacteristic
581#405C2311yescharacteristic
582#405C2311yescharacteristic
583#405C2311yescharacteristic
584C4×M16—21no—
585C4×M16—21no—
586C4×M16C2311yescharacteristic
587C4×M16C2311yescharacteristic
588C4×M16C2311yescharacteristic
589C4×M16C2311yescharacteristic
590C4×M16C2311yescharacteristic
591C4×M16C2311yescharacteristic
592C2×#97—21no—
593C2×#97C2311yescharacteristic
594C2×#97C2311yescharacteristic
595C2×#97C2311yescharacteristic
596C2×#97C2311yescharacteristic
597C2×#97C2311yescharacteristic
598C2×#97C2311yescharacteristic
599C2×C4×C8—21no—
600C2×C4×C8C2311yescharacteristic
601C2×C4×C8C2311yescharacteristic
602C2×C4×C8C2311yescharacteristic
603C2×C4×C8C2311yescharacteristic
604C2×C4×C8C2311yescharacteristic
605C2×C4×C8C2311yescharacteristic
606#389—21no—
607#389—21no—
608#385—21no—
609#385—21no—
610C4×C4⋊C4C2311yescharacteristic
611C4×C4⋊C4C2311yescharacteristic
612C4×C4⋊C4C2311yescharacteristic
613C4×C4⋊C4C2311yescharacteristic
614#341C2311yescharacteristic
615#341C2311yescharacteristic
616#341C2311yescharacteristic
617#341C2311yescharacteristic
618#341C2311yescharacteristic
619#341C2311yescharacteristic
620#341C2311yescharacteristic
621#341C2311yescharacteristic
622#339C2311yescharacteristic
623#339C2311yescharacteristic
624#339C2311yescharacteristic
625#339C2311yescharacteristic
626#339C2311yescharacteristic
627#339C2311yescharacteristic
628#339C2311yescharacteristic
629#339C2311yescharacteristic
630#336C2311yescharacteristic
631#336C2311yescharacteristic
632#336C2311yescharacteristic
633#336C2311yescharacteristic
634#336C2311yescharacteristic
635#336C2311yescharacteristic
636#336C2311yescharacteristic
637#336C2311yescharacteristic
638C2×#41—21no—
639C2×#41—21no—
640C2×#41—21no—
641C2×#41—21no—
642C2×#41—41no—
643C2×#41—41no—
644C2×#41—41no—
645C2×#41—41no—
646C2×#41—41no—
647C2×#41—41no—
648C2×#41—41no—
649C2×#41—41no—
650C2×#41C22×C411yescharacteristic
651C2×#41C22×C411yescharacteristic
652C2×#41C22×C411yescharacteristic
653C2×#41C22×C411yescharacteristic
654C2×#41C2411yescharacteristic
655C2×#41C2411yescharacteristic
656C2×#41C2411yescharacteristic
657C2×#41C2411yescharacteristic
658C2×#41C2411yescharacteristic
659C2×#41C2411yescharacteristic
660C22×Q8C22×C411yescharacteristic
661C22×Q8C22×C411yescharacteristic
662C22×D4—21no—
663C22×D4—21no—
664C22×D4C22×C411yescharacteristic
665C22×D4C22×C411yescharacteristic
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4C2411yescharacteristic
670#135—41no—
671#135—41no—
672#135—41no—
673#135—41no—
674#135—41no—
675#135—41no—
676#135—41no—
677#135—41no—
678#135—41no—
679#135—41no—
680#135—41no—
681#135—41no—
682#135—41no—
683#135—41no—
684#135—41no—
685#135—41no—
686C2×Q16C22×C411yescharacteristic
687C2×Q16C22×C411yescharacteristic
688C2×Q16C22×C411yescharacteristic
689C2×Q16C22×C411yescharacteristic
690C2×Q16C22×C411yescharacteristic
691C2×Q16C22×C411yescharacteristic
692C2×Q16C22×C411yescharacteristic
693C2×Q16C22×C411yescharacteristic
694C2×SD16C22×C411yescharacteristic
695C2×SD16C22×C411yescharacteristic
696C2×SD16C22×C411yescharacteristic
697C2×SD16C22×C411yescharacteristic
698C2×SD16C22×C411yescharacteristic
699C2×SD16C22×C411yescharacteristic
700C2×SD16C22×C411yescharacteristic
701C2×SD16C22×C411yescharacteristic
702C2×SD16C22×C411yescharacteristic
703C2×SD16C22×C411yescharacteristic
704C2×SD16C22×C411yescharacteristic
705C2×SD16C22×C411yescharacteristic
706C2×SD16C22×C411yescharacteristic
707C2×SD16C22×C411yescharacteristic
708C2×SD16C22×C411yescharacteristic
709C2×SD16C22×C411yescharacteristic
710C2×D8C22×C411yescharacteristic
711C2×D8C22×C411yescharacteristic
712C2×D8C22×C411yescharacteristic
713C2×D8C22×C411yescharacteristic
714C2×D8C22×C411yescharacteristic
715C2×D8C22×C411yescharacteristic
716C2×D8C22×C411yescharacteristic
717C2×D8C22×C411yescharacteristic
718#131—22no—
719#131—22no—
720#131—22no—
721#131—22no—
722#131—41no—
723#131—41no—
724#131—41no—
725#131—41no—
726#131—41no—
727#131—41no—
728#131—41no—
729#131—41no—
730#131—41no—
731#131—41no—
732#131—41no—
733#131—41no—
734#131—41no—
735#131—41no—
736#131—41no—
737#131—41no—
738#131—41no—
739#131—41no—
740#131—41no—
741#131—41no—
742C2×M16—21no—
743C2×M16—21no—
744C2×M16—21no—
745C2×M16—21no—
746C2×M16—21no—
747C2×M16—21no—
748C2×M16—21no—
749C2×M16—21no—
750C2×M16—21no—
751C2×M16—21no—
752C2×M16—21no—
753C2×M16—21no—
754C2×M16—21no—
755C2×M16—21no—
756C2×M16—22no—
757C2×M16—22no—
758C2×M16—41no—
759C2×M16—41no—
760C2×M16C2411yescharacteristic
761C2×M16C2411yescharacteristic
762C2×M16C2411yescharacteristic
763C2×M16C2411yescharacteristic
764C2×M16C2411yescharacteristic
765C2×M16C2411yescharacteristic
766C2×M16C2411yescharacteristic
767C2×M16C2411yescharacteristic
768C22×C8—21no—
769C22×C8—21no—
770C22×C8—21no—
771C22×C8—21no—
772C22×C8—21no—
773C22×C8—21no—
774C22×C8—21no—
775C22×C8—21no—
776C22×C8—21no—
777C22×C8—21no—
778C22×C8—21no—
779C22×C8—21no—
780C22×C8—21no—
781C22×C8—21no—
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C4⋊Q8C22×C411yescharacteristic
791C4⋊Q8C22×C411yescharacteristic
792C4⋊Q8C22×C411yescharacteristic
793C4⋊Q8C22×C411yescharacteristic
794C4⋊Q8C22×C411yescharacteristic
795C4⋊Q8C22×C411yescharacteristic
796C4⋊Q8C22×C411yescharacteristic
797#127C22×C411yescharacteristic
798#127C22×C411yescharacteristic
799#127C22×C411yescharacteristic
800#127C22×C411yescharacteristic
801#127C22×C411yescharacteristic
802#126—21no—
803#126—21no—
804#126—21no—
805#126—21no—
806#126—21no—
807#126—21no—
808#126—21no—
809#126—21no—
810#125—21no—
811#125—21no—
812#125—21no—
813#125—21no—
814#125C22×C411yescharacteristic
815#125C22×C411yescharacteristic
816#124—21no—
817#124—21no—
818#124—21no—
819#124—21no—
820#124C22×C411yescharacteristic
821#124C22×C411yescharacteristic
822#124C22×C411yescharacteristic
823#124C22×C411yescharacteristic
824#124C22×C411yescharacteristic
825#124C22×C411yescharacteristic
826#124C22×C411yescharacteristic
827#124C22×C411yescharacteristic
828#124C22×C411yescharacteristic
829#124C22×C411yescharacteristic
830#123—21no—
831#123—21no—
832#123—21no—
833#123—21no—
834#123—21no—
835#123—21no—
836#123—21no—
837#123—21no—
838#123—21no—
839#123—21no—
840#123—21no—
841#123—21no—
842#123—21no—
843#123—21no—
844#123—21no—
845#123—21no—
846#123—21no—
847#123—21no—
848C22⋊Q8—21no—
849C22⋊Q8—21no—
850C22⋊Q8—21no—
851C22⋊Q8—21no—
852C22⋊Q8—21no—
853C22⋊Q8—21no—
854C22⋊Q8—21no—
855C22⋊Q8—21no—
856C22⋊Q8—21no—
857C22⋊Q8—21no—
858C22⋊Q8—21no—
859C22⋊Q8—21no—
860C22⋊Q8—21no—
861C22⋊Q8—21no—
862C22⋊Q8C22×C411yescharacteristic
863C22⋊Q8C22×C411yescharacteristic
864C22⋊Q8C22×C411yescharacteristic
865C22⋊Q8C22×C411yescharacteristic
866#121—21no—
867#121—21no—
868#121—21no—
869#121—21no—
870#121—21no—
871#121—21no—
872#121—21no—
873#121—21no—
874#121—21no—
875#121—21no—
876#121—21no—
877#121—21no—
878#121—21no—
879#121—21no—
880#121—21no—
881#121—21no—
882#121—21no—
883#121—21no—
884#121—21no—
885#121—21no—
886#121—21no—
887#121—21no—
888#121C22×C411yescharacteristic
889#121C22×C411yescharacteristic
890#121C22×C411yescharacteristic
891#121C22×C411yescharacteristic
892#120—21no—
893#120—21no—
894#120—21no—
895#120—21no—
896#120—21no—
897#120—21no—
898#120—21no—
899#120—21no—
900#120—21no—
901#120—21no—
902C4×Q8—21no—
903C4×Q8—21no—
904C4×Q8C22×C411yescharacteristic
905C4×Q8C22×C411yescharacteristic
906C4×Q8C22×C411yescharacteristic
907C4×Q8C22×C411yescharacteristic
908C4×D4—21no—
909C4×D4—21no—
910C4×D4—21no—
911C4×D4—21no—
912C4×D4—21no—
913C4×D4—21no—
914C4×D4—21no—
915C4×D4—21no—
916C4×D4—21no—
917C4×D4—21no—
918C4×D4—21no—
919C4×D4—21no—
920C4×D4—21no—
921C4×D4—21no—
922C4×D4—21no—
923C4×D4—21no—
924C4×D4—21no—
925C4×D4—21no—
926C4×D4C22×C411yescharacteristic
927C4×D4C22×C411yescharacteristic
928C4×D4C22×C411yescharacteristic
929C4×D4C22×C411yescharacteristic
930#117—21no—
931#117—21no—
932#117—41no—
933#117—41no—
934#117C22×C411yescharacteristic
935#117C22×C411yescharacteristic
936#117C22×C411yescharacteristic
937#117C22×C411yescharacteristic
938#117C2×D411yescharacteristic
939#117C2×D411yescharacteristic
940#117C2×D411yescharacteristic
941#117C2×D411yescharacteristic
942#117C2411yescharacteristic
943#117C2411yescharacteristic
944C2×C4⋊C4—21no—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—21no—
948C2×C4⋊C4—21no—
949C2×C4⋊C4#4111yescharacteristic
950C2×C4⋊C4#4111yescharacteristic
951C2×C22⋊C4—21no—
952C2×C22⋊C4#4111yescharacteristic
953C2×C22⋊C4#4111yescharacteristic
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—41no—
958C2×C42—41no—
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965#108—22no—
966#108—22no—
967#108—22no—
968#108—22no—
969#108—41no—
970#108—41no—
971#108—41no—
972#108—41no—
973C4⋊C8—21no—
974C4⋊C8—21no—
975C4⋊C8—21no—
976C4⋊C8—21no—
977C4⋊C8—21no—
978C4⋊C8—21no—
979C4⋊C8—21no—
980C4⋊C8—21no—
981C4⋊C8—21no—
982C4⋊C8—21no—
983C4⋊C8—21no—
984C4⋊C8—21no—
985C4⋊C8C22×C411yescharacteristic
986C4⋊C8C22×C411yescharacteristic
987C4⋊C8C22×C411yescharacteristic
988C4⋊C8C22×C411yescharacteristic
989C4⋊C8C22×C411yescharacteristic
990C4⋊C8C22×C411yescharacteristic
991C4⋊C8C22×C411yescharacteristic
992C4⋊C8C22×C411yescharacteristic
993C4⋊C8C2×D411yescharacteristic
994C4⋊C8C2×D411yescharacteristic
995C4⋊C8C2×D411yescharacteristic
996C4⋊C8C2×D411yescharacteristic
997C4⋊C8C2×D411yescharacteristic
998C4⋊C8C2×D411yescharacteristic
999C4⋊C8C2×D411yescharacteristic
1000C4⋊C8C2×D411yescharacteristic
1001#104—22no—
1002#104—22no—
1003#104—22no—
1004#104—22no—
1005#104—22no—
1006#104—22no—
1007#104—22no—
1008#104—22no—
1009#104—41no—
1010#104—41no—
1011#104—41no—
1012#104—41no—
1013#104—41no—
1014#104—41no—
1015#104—41no—
1016#104—41no—
1017#104—41no—
1018#104—41no—
1019#104—41no—
1020#104—41no—
1021#104—41no—
1022#104—41no—
1023#104—41no—
1024#104—41no—
1025#103C22×C411yescharacteristic
1026#103C22×C411yescharacteristic
1027#103C22×C411yescharacteristic
1028#103C22×C411yescharacteristic
1029#103C22×C411yescharacteristic
1030#103C22×C411yescharacteristic
1031#103C22×C411yescharacteristic
1032#103C22×C411yescharacteristic
1033#103C22×C411yescharacteristic
1034#103C22×C411yescharacteristic
1035#103C22×C411yescharacteristic
1036#103C22×C411yescharacteristic
1037#103C22×C411yescharacteristic
1038#103C22×C411yescharacteristic
1039#103C22×C411yescharacteristic
1040#103C22×C411yescharacteristic
1041#102C22×C411yescharacteristic
1042#102C22×C411yescharacteristic
1043#102C22×C411yescharacteristic
1044#102C22×C411yescharacteristic
1045#102C22×C411yescharacteristic
1046#102C22×C411yescharacteristic
1047#102C22×C411yescharacteristic
1048#102C22×C411yescharacteristic
1049#102C22×C411yescharacteristic
1050#102C22×C411yescharacteristic
1051#102C22×C411yescharacteristic
1052#102C22×C411yescharacteristic
1053#102C22×C411yescharacteristic
1054#102C22×C411yescharacteristic
1055#102C22×C411yescharacteristic
1056#102C22×C411yescharacteristic
1057C22⋊C8—21no—
1058C22⋊C8—21no—
1059C22⋊C8—21no—
1060C22⋊C8—21no—
1061C22⋊C8—21no—
1062C22⋊C8—21no—
1063C22⋊C8—21no—
1064C22⋊C8—21no—
1065C22⋊C8—21no—
1066C22⋊C8—21no—
1067C22⋊C8—21no—
1068C22⋊C8—21no—
1069C22⋊C8—21no—
1070C22⋊C8—21no—
1071C22⋊C8—21no—
1072C22⋊C8—21no—
1073C22⋊C8—21no—
1074C22⋊C8—21no—
1075C22⋊C8—21no—
1076C22⋊C8—21no—
1077C22⋊C8—21no—
1078C22⋊C8—21no—
1079C22⋊C8—21no—
1080C22⋊C8—21no—
1081C22⋊C8—21no—
1082C22⋊C8—21no—
1083C22⋊C8—21no—
1084C22⋊C8—21no—
1085C22⋊C8C22×C411yescharacteristic
1086C22⋊C8C22×C411yescharacteristic
1087C22⋊C8C22×C411yescharacteristic
1088C22⋊C8C22×C411yescharacteristic
1089C22⋊C8C22×C411yescharacteristic
1090C22⋊C8C22×C411yescharacteristic
1091C22⋊C8C22×C411yescharacteristic
1092C22⋊C8C22×C411yescharacteristic
1093C22⋊C8C2×D411yescharacteristic
1094C22⋊C8C2×D411yescharacteristic
1095C22⋊C8C2×D411yescharacteristic
1096C22⋊C8C2×D411yescharacteristic
1097C22⋊C8C2×D411yescharacteristic
1098C22⋊C8C2×D411yescharacteristic
1099C22⋊C8C2×D411yescharacteristic
1100C22⋊C8C2×D411yescharacteristic
1101#97—21no—
1102#97—21no—
1103#97—21no—
1104#97—21no—
1105#97—21no—
1106#97—21no—
1107#97—21no—
1108#97—21no—
1109#97—21no—
1110#97—21no—
1111#97—41no—
1112#97—41no—
1113#97—41no—
1114#97—41no—
1115#97C22×C411yescharacteristic
1116#97C22×C411yescharacteristic
1117#97C22×C411yescharacteristic
1118#97C22×C411yescharacteristic
1119#97C2×D411yescharacteristic
1120#97C2×D411yescharacteristic
1121#97C2×D411yescharacteristic
1122#97C2×D411yescharacteristic
1123C4×C8—21no—
1124C4×C8—21no—
1125C4×C8—21no—
1126C4×C8—21no—
1127C4×C8—21no—
1128C4×C8—21no—
1129C4×C8—21no—
1130C4×C8—21no—
1131C4×C8—21no—
1132C4×C8—21no—
1133C4×C8—41no—
1134C4×C8—41no—
1135C4×C8—41no—
1136C4×C8—41no—
1137C4×C8C22×C411yescharacteristic
1138C4×C8C22×C411yescharacteristic
1139C4×C8C22×C411yescharacteristic
1140C4×C8C22×C411yescharacteristic
1141C4×C8C2×D411yescharacteristic
1142C4×C8C2×D411yescharacteristic
1143C4×C8C2×D411yescharacteristic
1144C4×C8C2×D411yescharacteristic
1145#95—21no—
1146#95—21no—
1147#95—21no—
1148#95—21no—
1149C24—21no—
1150C24—21no—
1151C24C2×#4111yescharacteristic
1152#41—21no—
1153#41—21no—
1154#41—21no—
1155#41—21no—
1156#41—21no—
1157#41—21no—
1158#41—21no—
1159#41—21no—
1160#41—21no—
1161#41—21no—
1162#41—21no—
1163#41—21no—
1164#41—21no—
1165#41—21no—
1166#41—21no—
1167#41—21no—
1168#41—21no—
1169#41—21no—
1170#41—21no—
1171#41—21no—
1172#41—21no—
1173#41—21no—
1174#41—21no—
1175#41—21no—
1176#41—41no—
1177#41—41no—
1178#41—41no—
1179#41—41no—
1180#41—41no—
1181#41—41no—
1182#41—41no—
1183#41—41no—
1184#41—81no—
1185#41—81no—
1186#41—81no—
1187#41—81no—
1188#41—81no—
1189#41—81no—
1190#41—81no—
1191#41—81no—
1192C2×Q8—21no—
1193C2×Q8—21no—
1194C2×Q8—21no—
1195C2×Q8—21no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8C23×C411yescharacteristic
1201C2×Q8C23×C411yescharacteristic
1202C2×Q8C23×C411yescharacteristic
1203C2×Q8C23×C411yescharacteristic
1204C2×Q8C23×C411yescharacteristic
1205C2×Q8C23×C411yescharacteristic
1206C2×D4—21no—
1207C2×D4—21no—
1208C2×D4—21no—
1209C2×D4—21no—
1210C2×D4—21no—
1211C2×D4—21no—
1212C2×D4—21no—
1213C2×D4—21no—
1214C2×D4—21no—
1215C2×D4—21no—
1216C2×D4—21no—
1217C2×D4—21no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—21no—
1221C2×D4—21no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4C23×C411yescharacteristic
1241C2×D4C23×C411yescharacteristic
1242C2×D4C23×C411yescharacteristic
1243C2×D4C23×C411yescharacteristic
1244C2×D4C23×C411yescharacteristic
1245C2×D4C23×C411yescharacteristic
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—42no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4C23×C411yescharacteristic
1278C22×C4C23×C411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C2×#4111yescharacteristic
1282C22×C4C2×#4111yescharacteristic
1283C22×C4C2×#4111yescharacteristic
1284C22×C4C2×#4111yescharacteristic
1285C22×C4C2×#4111yescharacteristic
1286C22×C4C2511yescharacteristic
1287Q16—41no—
1288Q16—41no—
1289Q16—41no—
1290Q16—41no—
1291Q16—41no—
1292Q16—41no—
1293Q16—41no—
1294Q16—41no—
1295SD16—41no—
1296SD16—41no—
1297SD16—41no—
1298SD16—41no—
1299SD16—41no—
1300SD16—41no—
1301SD16—41no—
1302SD16—41no—
1303SD16—41no—
1304SD16—41no—
1305SD16—41no—
1306SD16—41no—
1307SD16—41no—
1308SD16—41no—
1309SD16—41no—
1310SD16—41no—
1311D8—41no—
1312D8—41no—
1313D8—41no—
1314D8—41no—
1315D8—41no—
1316D8—41no—
1317D8—41no—
1318D8—41no—
1319M16—21no—
1320M16—21no—
1321M16—21no—
1322M16—21no—
1323M16—21no—
1324M16—21no—
1325M16—21no—
1326M16—21no—
1327M16—21no—
1328M16—21no—
1329M16—21no—
1330M16—21no—
1331M16—21no—
1332M16—21no—
1333M16—42no—
1334M16—42no—
1335M16—42no—
1336M16—42no—
1337M16—42no—
1338M16—42no—
1339M16—81no—
1340M16—81no—
1341M16—81no—
1342M16—81no—
1343M16—81no—
1344M16—81no—
1345M16—81no—
1346M16—81no—
1347M16H(5,𝔽2)12yes—
1348M16H(5,𝔽2)12yes—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—42no—
1374C2×C8—42no—
1375C2×C8—42no—
1376C2×C8—42no—
1377C2×C8—42no—
1378C2×C8—42no—
1379C2×C8—81no—
1380C2×C8—81no—
1381C2×C8—81no—
1382C2×C8—81no—
1383C2×C8—81no—
1384C2×C8—81no—
1385C2×C8—81no—
1386C2×C8—81no—
1387C2×C8C23×C411yescharacteristic
1388C2×C8C23×C411yescharacteristic
1389C2×C8C23×C411yescharacteristic
1390C2×C8C23×C411yescharacteristic
1391C2×C8C23×C411yescharacteristic
1392C2×C8C23×C411yescharacteristic
1393C2×C8C23×C411yescharacteristic
1394C2×C8C23×C411yescharacteristic
1395C2×C8C22×D411yescharacteristic
1396C2×C8C22×D411yescharacteristic
1397C2×C8C22×D411yescharacteristic
1398C2×C8C22×D411yescharacteristic
1399C2×C8C22×D411yescharacteristic
1400C2×C8C22×D411yescharacteristic
1401C2×C8C22×D411yescharacteristic
1402C2×C8C22×D411yescharacteristic
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—81no—
1430C4⋊C4—81no—
1431C4⋊C4—81no—
1432C4⋊C4C4×D411yescharacteristic
1433C4⋊C4C4×D411yescharacteristic
1434C4⋊C4C4×D411yescharacteristic
1435C4⋊C4C4×D411yescharacteristic
1436C4⋊C4C4×D411yescharacteristic
1437C4⋊C4C4×D411yescharacteristic
1438C4⋊C4C4×D411yescharacteristic
1439C4⋊C4C4×D411yescharacteristic
1440C4⋊C4C23×C411yescharacteristic
1441C4⋊C4C23×C411yescharacteristic
1442C4⋊C4C23×C411yescharacteristic
1443C4⋊C4C23×C411yescharacteristic
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—81no—
1479C22⋊C4C4×D411yescharacteristic
1480C22⋊C4C4×D411yescharacteristic
1481C22⋊C4C4×D411yescharacteristic
1482C22⋊C4C4×D411yescharacteristic
1483C22⋊C4C4×D411yescharacteristic
1484C22⋊C4C4×D411yescharacteristic
1485C22⋊C4C4×D411yescharacteristic
1486C22⋊C4C4×D411yescharacteristic
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—81no—
1502C42C23×C411yescharacteristic
1503C42C23×C411yescharacteristic
1504C42C23×C411yescharacteristic
1505C42C23×C411yescharacteristic
1506C42C22×D411yescharacteristic
1507C42C22×D411yescharacteristic
1508C42C22×D411yescharacteristic
1509C42C22×D411yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—41no—
1519C23—41no—
1520C23—81no—
1521C23—81no—
1522C23—81no—
1523C23—81no—
1524C23—81no—
1525C23—81no—
1526C23C2×C4×D411yescharacteristic
1527C23C2×C4×D411yescharacteristic
1528C23C22×#4111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—81no—
1542Q8—81no—
1543Q8—81no—
1544Q8—81no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—84no—
1648C2×C4C2×C4×D411yescharacteristic
1649C2×C4C2×C4×D411yescharacteristic
1650C2×C4C2×C4×D411yescharacteristic
1651C2×C4C2×C4×D411yescharacteristic
1652C2×C4C2×C4×D411yescharacteristic
1653C2×C4C2×C4×D411yescharacteristic
1654C2×C4C2×C4×D411yescharacteristic
1655C2×C4C2×C4×D411yescharacteristic
1656C2×C4C2×C4×D411yescharacteristic
1657C2×C4C2×C4×D411yescharacteristic
1658C2×C4C24×C411yescharacteristic
1659C2×C4C23×D411yescharacteristic
1660C2×C4C2×H(5,𝔽2)11yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4#58511yescharacteristic
1663C2×C4#58511yescharacteristic
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C8—21no—
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—22no—
1681C8—22no—
1682C8—41no—
1683C8—41no—
1684C8—41no—
1685C8—41no—
1686C8—41no—
1687C8—41no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—81no—
1715C22—81no—
1716C22—162no—
1717C22—162no—
1718C22C22×C4×D411yescharacteristic
1719C22#350811yescharacteristic
1720C22#351011yescharacteristic
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—81no—
1743C4—81no—
1744C4—81no—
1745C4C4×H(5,𝔽2)11yescharacteristic
1746C4C4×H(5,𝔽2)11yescharacteristic
1747C4#348811yescharacteristic
1748C4#348811yescharacteristic
1749C2—21no—
1750C2—21no—
1751C2—41no—
1752C2—41no—
1753C2—81no—
1754C2—81no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2#3426911yescharacteristic
1760C2#6018311yescharacteristic
1761C2#6018411yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC22C22×C4×D4
prime radical#60797C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#433 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60238C2semidirect
3. #60212C2semidirect
4. #23236C2semidirect
5. #23236C2semidirect
6. #23235C2semidirect
7. #23234C2semidirect
8. #23181C2semidirect
9. #23181C2semidirect
10. #23180C2semidirect
11. #23179C2semidirect
12. #22889C2semidirect
13. #22889C2semidirect
14. #22888C2semidirect
15. #22888C2semidirect
16. #22887C2semidirect
17. #22887C2semidirect
18. #22886C2semidirect
19. #22886C2semidirect
20. #22167C2semidirect
21. #22167C2semidirect
22. #22166C2semidirect
23. #22165C2semidirect
24. #21901C2semidirect
25. #21519C2semidirect
26. #21519C2semidirect
27. #21518C2semidirect
28. #21517C2semidirect
29. #21372C2semidirect
30. #21253C2semidirect
31. #20541C2semidirect
34. #3225C4semidirect
35. #3225C4semidirect
36. #3225C4semidirect
37. #3225C4semidirect
38. #3224C4semidirect
39. #3224C4semidirect
40. #3224C4semidirect
41. #3224C4semidirect
42. #3223C4semidirect
43. #3223C4semidirect
44. #3222C4semidirect
45. #3222C4semidirect
46. #3221C4semidirect
47. #3221C4semidirect
48. #3220C4semidirect
49. #3220C4semidirect
78. #2962C22semidirect
79. #2962C22semidirect
80. C2×#444C22semidirect
81. C2×#444C22semidirect
82. C2×#444C22semidirect
83. C2×#444C22semidirect
84. C2×#443C22semidirect
85. C2×#443C22semidirect
86. C2×#443C22semidirect
87. C2×#443C22semidirect
92. #2935C22semidirect
93. #2935C22semidirect
102. #2923C22semidirect
103. #2922C22semidirect
115. #2875C22semidirect
116. C4×#131C22semidirect
119. #1986C22semidirect
120. #1986C22semidirect
129. #1980C22semidirect
130. #1980C22semidirect
131. #1975C22semidirect
132. #1975C22semidirect
133. #1975C22semidirect
134. #1975C22semidirect
135. #1974C22semidirect
136. #1974C22semidirect
137. #1974C22semidirect
138. #1974C22semidirect
139. #1950C22semidirect
140. #1950C22semidirect
141. #1950C22semidirect
142. #1950C22semidirect
143. #1938C22semidirect
144. #1938C22semidirect
145. #1938C22semidirect
146. #1938C22semidirect
147. #1937C22semidirect
148. #1937C22semidirect
149. #1937C22semidirect
150. #1937C22semidirect
151. #1929C22semidirect
152. #1929C22semidirect
153. #1929C22semidirect
154. #1929C22semidirect
155. #1929C22semidirect
156. #1929C22semidirect
157. #1929C22semidirect
158. #1929C22semidirect
163. #1876C22semidirect
164. #1876C22semidirect
165. #1876C22semidirect
166. #1876C22semidirect
167. #1876C22semidirect
168. #1876C22semidirect
169. #1876C22semidirect
170. #1876C22semidirect
171. #1876C22semidirect
172. #1876C22semidirect
173. #1876C22semidirect
174. #1876C22semidirect
175. #1876C22semidirect
176. #1876C22semidirect
177. #1876C22semidirect
178. #1876C22semidirect
179. #1866C22semidirect
180. #1866C22semidirect
181. #1866C22semidirect
182. #1866C22semidirect
183. #1866C22semidirect
184. #1866C22semidirect
185. #1866C22semidirect
186. #1866C22semidirect
191. #1806C22semidirect
192. #1806C22semidirect
193. #1806C22semidirect
194. #1806C22semidirect
195. #1778C22semidirect
196. #1778C22semidirect
197. C4×#108C22semidirect
198. C4×#108C22semidirect
199. #1771C22semidirect
200. #1771C22semidirect
201. #1771C22semidirect
202. #1771C22semidirect
203. #1770C22semidirect
204. #1770C22semidirect
205. C8×C4⋊C4C22semidirect
206. C8×C4⋊C4C22semidirect
207. #1765C22semidirect
208. #1765C22semidirect
209. #1765C22semidirect
210. #1765C22semidirect
211. #1764C22semidirect
212. #1764C22semidirect
213. #1764C22semidirect
214. #1764C22semidirect
288. #497C2×C4semidirect
289. #497C2×C4semidirect
290. #497C2×C4semidirect
291. #497C2×C4semidirect
292. #496C2×C4semidirect
293. #496C2×C4semidirect
294. #496C2×C4semidirect
295. #496C2×C4semidirect
296. #495C2×C4semidirect
297. #495C2×C4semidirect
298. #495C2×C4semidirect
299. #495C2×C4semidirect
300. #494C2×C4semidirect
301. #493C2×C4semidirect
302. #492C2×C4semidirect
303. #492C2×C4semidirect
304. #491C2×C4semidirect
305. #491C2×C4semidirect
306. #490C2×C4semidirect
307. #490C2×C4semidirect
308. #489C2×C4semidirect
309. #489C2×C4semidirect
310. #489C2×C4semidirect
311. #489C2×C4semidirect
312. #488C2×C4semidirect
313. #488C2×C4semidirect
314. #488C2×C4semidirect
315. #488C2×C4semidirect
316. #487C2×C4semidirect
317. #487C2×C4semidirect
318. #486C2×C4semidirect
319. #486C2×C4semidirect
320. #464C2×C4semidirect
321. #464C2×C4semidirect
322. #464C2×C4semidirect
323. #464C2×C4semidirect
324. #464C2×C4semidirect
325. #464C2×C4semidirect
326. #464C2×C4semidirect
327. #464C2×C4semidirect
328. #463C2×C4semidirect
329. #463C2×C4semidirect
330. #463C2×C4semidirect
331. #463C2×C4semidirect
332. #463C2×C4semidirect
333. #463C2×C4semidirect
334. #463C2×C4semidirect
335. #463C2×C4semidirect
336. #462C2×C4semidirect
337. #462C2×C4semidirect
338. #462C2×C4semidirect
339. #462C2×C4semidirect
340. #461C2×C4semidirect
341. #461C2×C4semidirect
342. #461C2×C4semidirect
343. #461C2×C4semidirect
344. #460C2×C4semidirect
345. #460C2×C4semidirect
346. #460C2×C4semidirect
347. #460C2×C4semidirect
348. #459C2×C4semidirect
349. #459C2×C4semidirect
350. #459C2×C4semidirect
351. #459C2×C4semidirect

Maximal subgroups

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

subgroupindex
#607972
#602382
#602122
#232362
#232352
#232342
#231812
#231802
#231792
#228892
#228882
#228872
#228862
#221672
#221662
#221652
#219012
#215192
#215182
#215172
#213722
#212532
#205412