Finite Group Databasebeta

← #6394993

Subgroups — #6394993

Order 512.

1897 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60797C211yesmaximal, characteristic
2#60267C211yesmaximal, characteristic, complemented
3#60142C211yesmaximal, 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#23115C211yesmaximal, characteristic, complemented
13#23115C211yesmaximal, characteristic, complemented
14#23114C211yesmaximal, characteristic, complemented
15#23113C211yesmaximal, characteristic, complemented
16#23017C211yesmaximal, characteristic, complemented
17#23017C211yesmaximal, characteristic, complemented
18#23016C211yesmaximal, characteristic, complemented
19#23015C211yesmaximal, characteristic, complemented
20#22062C211yesmaximal, characteristic, complemented
21#22062C211yesmaximal, characteristic, complemented
22#22061C211yesmaximal, characteristic, complemented
23#22060C211yesmaximal, characteristic, complemented
24#21817C211yesmaximal, characteristic, complemented
25#21468C211yesmaximal, characteristic, complemented
26#21468C211yesmaximal, characteristic, complemented
27#21467C211yesmaximal, characteristic, complemented
28#21466C211yesmaximal, characteristic, complemented
29#21384C211yesmaximal, characteristic, complemented
30#21372C211yesmaximal, characteristic, complemented
31#20553C211yesmaximal, characteristic, complemented
32C2×#568C2211yescharacteristic
33C22×#131C2211yescharacteristic
34#3455C2211yescharacteristic
35#3449C2211yescharacteristic
36#3225C411yescharacteristic, complemented
37#3225C411yescharacteristic, complemented
38#3225C411yescharacteristic, complemented
39#3225C411yescharacteristic, complemented
40#3224C411yescharacteristic, complemented
41#3224C411yescharacteristic, complemented
42#3224C411yescharacteristic, complemented
43#3224C411yescharacteristic, complemented
44#3223C411yescharacteristic, complemented
45#3223C411yescharacteristic, complemented
46#3222C411yescharacteristic, complemented
47#3222C411yescharacteristic, complemented
48#3221C411yescharacteristic, complemented
49#3221C411yescharacteristic, complemented
50#3220C411yescharacteristic, complemented
51#3220C411yescharacteristic, complemented
52#3150C2211yescharacteristic
53#3147C2211yescharacteristic
54#3135C2211yescharacteristic
55#3131C2211yescharacteristic
56#3035C2211yescharacteristic
57#3035C2211yescharacteristic
58#3035C2211yescharacteristic
59#3035C2211yescharacteristic
60#3002C2211yescharacteristic
61#3002C2211yescharacteristic
62#3002C2211yescharacteristic
63#3002C2211yescharacteristic
64#2995—21no—
65#2995—21no—
66#2994—21no—
67#2994—21no—
68#2993—21no—
69#2993—21no—
70#2992—21no—
71#2992—21no—
72#2962C2211yescharacteristic, complemented
73#2962C2211yescharacteristic, complemented
74C2×#444C2211yescharacteristic, complemented
75C2×#444C2211yescharacteristic, complemented
76C2×#444C2211yescharacteristic, complemented
77C2×#444C2211yescharacteristic, complemented
78C2×#443C2211yescharacteristic, complemented
79C2×#443C2211yescharacteristic, complemented
80C2×#443C2211yescharacteristic, complemented
81C2×#443C2211yescharacteristic, complemented
82#2935C2211yescharacteristic
83#2935C2211yescharacteristic
84#2935C2211yescharacteristic
85#2935C2211yescharacteristic
86#2935C2211yescharacteristic
87#2935C2211yescharacteristic
88#2935C2211yescharacteristic
89#2935C2211yescharacteristic
90#2935C2211yescharacteristic, complemented
91#2935C2211yescharacteristic, complemented
92#2933—21no—
93#2933—21no—
94#2933—21no—
95#2933—21no—
96#2930—21no—
97#2930—21no—
98#2930C2211yescharacteristic
99#2930C2211yescharacteristic
100#2929—21no—
101#2929—21no—
102#2929C2211yescharacteristic
103#2929C2211yescharacteristic
104#2925C2211yescharacteristic, complemented
105#2925C2211yescharacteristic, complemented
106#2921C2211yescharacteristic
107C2×#433C2211yescharacteristic
108#2906C2211yescharacteristic, complemented
109#2906C2211yescharacteristic, complemented
110C2×#424C2211yescharacteristic
111#2879C2211yescharacteristic
112C2×#408C2211yescharacteristic
113#2873C2211yescharacteristic
114#2298C2211yescharacteristic
115#1986C2211yescharacteristic, complemented
116#1986C2211yescharacteristic, complemented
117#1980C2211yescharacteristic
118#1980C2211yescharacteristic
119#1980C2211yescharacteristic
120#1980C2211yescharacteristic
121#1980C2211yescharacteristic, complemented
122#1980C2211yescharacteristic, complemented
123#1975C2211yescharacteristic, complemented
124#1975C2211yescharacteristic, complemented
125#1975C2211yescharacteristic, complemented
126#1975C2211yescharacteristic, complemented
127#1974C2211yescharacteristic, complemented
128#1974C2211yescharacteristic, complemented
129#1974C2211yescharacteristic, complemented
130#1974C2211yescharacteristic, complemented
131#1963C2211yescharacteristic
132#1963C2211yescharacteristic
133#1962C2211yescharacteristic
134#1962C2211yescharacteristic
135#1950C2211yescharacteristic, complemented
136#1950C2211yescharacteristic, complemented
137#1950C2211yescharacteristic, complemented
138#1950C2211yescharacteristic, complemented
139#1938C2211yescharacteristic, complemented
140#1938C2211yescharacteristic, complemented
141#1938C2211yescharacteristic, complemented
142#1938C2211yescharacteristic, complemented
143#1937C2211yescharacteristic, complemented
144#1937C2211yescharacteristic, complemented
145#1937C2211yescharacteristic, complemented
146#1937C2211yescharacteristic, complemented
147#1929C2211yescharacteristic, complemented
148#1929C2211yescharacteristic, complemented
149#1929C2211yescharacteristic, complemented
150#1929C2211yescharacteristic, complemented
151#1929C2211yescharacteristic, complemented
152#1929C2211yescharacteristic, complemented
153#1929C2211yescharacteristic, complemented
154#1929C2211yescharacteristic, complemented
155#1876C2211yescharacteristic, complemented
156#1876C2211yescharacteristic, complemented
157#1876C2211yescharacteristic, complemented
158#1876C2211yescharacteristic, complemented
159#1876C2211yescharacteristic, complemented
160#1876C2211yescharacteristic, complemented
161#1876C2211yescharacteristic, complemented
162#1876C2211yescharacteristic, complemented
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#1871C2211yescharacteristic
172#1871C2211yescharacteristic
173#1871C2211yescharacteristic
174#1871C2211yescharacteristic
175#1866C2211yescharacteristic, complemented
176#1866C2211yescharacteristic, complemented
177#1866C2211yescharacteristic, complemented
178#1866C2211yescharacteristic, complemented
179#1866C2211yescharacteristic, complemented
180#1866C2211yescharacteristic, complemented
181#1866C2211yescharacteristic, complemented
182#1866C2211yescharacteristic, complemented
183#1855C2211yescharacteristic
184#1855C2211yescharacteristic
185#1855C2211yescharacteristic
186#1855C2211yescharacteristic
187#1789C2211yescharacteristic
188#1789C2211yescharacteristic
189#1789C2211yescharacteristic
190#1789C2211yescharacteristic
191#1778C2211yescharacteristic, complemented
192#1778C2211yescharacteristic, complemented
193C4×#108C2211yescharacteristic, complemented
194C4×#108C2211yescharacteristic, complemented
195#1771C2211yescharacteristic, complemented
196#1771C2211yescharacteristic, complemented
197#1770C2211yescharacteristic, complemented
198C8×C4⋊C4C2211yescharacteristic, complemented
199#1768C2211yescharacteristic, complemented
200#1768C2211yescharacteristic, complemented
201#1767C2211yescharacteristic, complemented
202C4×C4⋊C8C2211yescharacteristic, complemented
203#1765C2211yescharacteristic, complemented
204#1765C2211yescharacteristic, complemented
205#1765C2211yescharacteristic, complemented
206#1765C2211yescharacteristic, complemented
207#1764C2211yescharacteristic, complemented
208#1764C2211yescharacteristic, complemented
209#1764C2211yescharacteristic, complemented
210#1764C2211yescharacteristic, complemented
211#1759C2211yescharacteristic, complemented
212#1759C2211yescharacteristic, complemented
213C4×#104C2211yescharacteristic, complemented
214C4×#104C2211yescharacteristic, complemented
215#1753C2211yescharacteristic
216#1753C2211yescharacteristic
217#1752C2211yescharacteristic
218C8×C22⋊C4C2211yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C2×#135C2311yescharacteristic
222C2×#135C2311yescharacteristic
223C2×#135C2311yescharacteristic
224C2×#135C2311yescharacteristic
225C2×#135C2311yescharacteristic
226C2×#135C2311yescharacteristic
227C2×#135C2311yescharacteristic
228C2×#135C2311yescharacteristic
229#568—42no—
230#568—42no—
231C2×#131—21no—
232C2×#131—21no—
233C2×#131—21no—
234C2×#131—21no—
235C2×#131—42no—
236C2×#131—42no—
237C2×#131C2311yescharacteristic
238C2×#131C2311yescharacteristic
239C2×#131C2311yescharacteristic
240C2×#131C2311yescharacteristic
241C2×#131C2311yescharacteristic
242C2×#131C2311yescharacteristic
243C2×#131C2311yescharacteristic
244C2×#131C2311yescharacteristic
245C2×#131C2311yescharacteristic
246C2×#131C2311yescharacteristic
247C2×#131C2311yescharacteristic
248C2×#131C2311yescharacteristic
249C22×M16—21no—
250C22×M16—21no—
251C22×M16—21no—
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C22×M16C2311yescharacteristic
255C23×C8—21no—
256C23×C8C2311yescharacteristic
257#542C2×C411yescharacteristic
258#542C2×C411yescharacteristic
259#542C2×C411yescharacteristic
260#542C2×C411yescharacteristic
261#541C2×C411yescharacteristic
262#541C2×C411yescharacteristic
263#540C2×C411yescharacteristic
264#540C2×C411yescharacteristic
265#539—21no—
266#539—21no—
267#538—21no—
268#538—21no—
269#537—21no—
270#537—21no—
271#536C2×C411yescharacteristic
272#536C2×C411yescharacteristic
273#536C2×C411yescharacteristic
274#536C2×C411yescharacteristic
275#535C2×C411yescharacteristic
276#535C2×C411yescharacteristic
277#535C2×C411yescharacteristic
278#535C2×C411yescharacteristic
279#534—21no—
280#534—21no—
281#533C2311yescharacteristic
282#532C2311yescharacteristic
283#532C2311yescharacteristic
284#532C2311yescharacteristic
285#532C2311yescharacteristic
286#532C2311yescharacteristic
287#529—21no—
288#529—21no—
289#529—21no—
290#529—21no—
291#525—21no—
292#525—21no—
293#525—21no—
294#525—21no—
295#525C2311yescharacteristic
296#525C2311yescharacteristic
297C4×#41C2311yescharacteristic
298C4×#41C2311yescharacteristic
299C2×#117C2311yescharacteristic
300#497C2×C411yescharacteristic
301#497C2×C411yescharacteristic
302#497C2×C411yescharacteristic
303#497C2×C411yescharacteristic
304#496C2×C411yescharacteristic
305#496C2×C411yescharacteristic
306#496C2×C411yescharacteristic
307#496C2×C411yescharacteristic
308#495C2×C411yescharacteristic
309#495C2×C411yescharacteristic
310#495C2×C411yescharacteristic
311#495C2×C411yescharacteristic
312#494C2×C411yescharacteristic
313#493C2×C411yescharacteristic
314#492C2×C411yescharacteristic
315#492C2×C411yescharacteristic
316#491C2×C411yescharacteristic
317#491C2×C411yescharacteristic
318#490C2×C411yescharacteristic
319#490C2×C411yescharacteristic
320#489C2×C411yescharacteristic
321#489C2×C411yescharacteristic
322#489C2×C411yescharacteristic
323#489C2×C411yescharacteristic
324#488C2×C411yescharacteristic
325#488C2×C411yescharacteristic
326#488C2×C411yescharacteristic
327#488C2×C411yescharacteristic
328#487C2×C411yescharacteristic
329#487C2×C411yescharacteristic
330#486C2×C411yescharacteristic
331#486C2×C411yescharacteristic
332#464C2×C411yescharacteristic
333#464C2×C411yescharacteristic
334#464C2×C411yescharacteristic
335#464C2×C411yescharacteristic
336#464C2×C411yescharacteristic
337#464C2×C411yescharacteristic
338#464C2×C411yescharacteristic
339#464C2×C411yescharacteristic
340#463C2×C411yescharacteristic
341#463C2×C411yescharacteristic
342#463C2×C411yescharacteristic
343#463C2×C411yescharacteristic
344#463C2×C411yescharacteristic
345#463C2×C411yescharacteristic
346#463C2×C411yescharacteristic
347#463C2×C411yescharacteristic
348#462C2×C411yescharacteristic
349#462C2×C411yescharacteristic
350#462C2×C411yescharacteristic
351#462C2×C411yescharacteristic
352#461C2×C411yescharacteristic
353#461C2×C411yescharacteristic
354#461C2×C411yescharacteristic
355#461C2×C411yescharacteristic
356#460C2×C411yescharacteristic
357#460C2×C411yescharacteristic
358#460C2×C411yescharacteristic
359#460C2×C411yescharacteristic
360#459C2×C411yescharacteristic
361#459C2×C411yescharacteristic
362#459C2×C411yescharacteristic
363#459C2×C411yescharacteristic
364#452C2×C411yescharacteristic
365#452C2×C411yescharacteristic
366#452C2×C411yescharacteristic
367#452C2×C411yescharacteristic
368#452C2×C411yescharacteristic
369#452C2×C411yescharacteristic
370#452C2×C411yescharacteristic
371#452C2×C411yescharacteristic
372#451C2×C411yescharacteristic
373#451C2×C411yescharacteristic
374#451C2×C411yescharacteristic
375#451C2×C411yescharacteristic
376#450C2×C411yescharacteristic
377#450C2×C411yescharacteristic
378#450C2×C411yescharacteristic
379#450C2×C411yescharacteristic
380#449C2×C411yescharacteristic
381#449C2×C411yescharacteristic
382#449C2×C411yescharacteristic
383#449C2×C411yescharacteristic
384#449C2×C411yescharacteristic
385#449C2×C411yescharacteristic
386#449C2×C411yescharacteristic
387#449C2×C411yescharacteristic
388#448C2×C411yescharacteristic
389#448C2×C411yescharacteristic
390#448C2×C411yescharacteristic
391#448C2×C411yescharacteristic
392#447C2×C411yescharacteristic
393#447C2×C411yescharacteristic
394#447C2×C411yescharacteristic
395#447C2×C411yescharacteristic
396#446—21no—
397#446—21no—
398#446—21no—
399#446—21no—
400#446—21no—
401#446—21no—
402C8×Q8—21no—
403C8×Q8—21no—
404#444—42no—
405#444—42no—
406#444—42no—
407#444—42no—
408#443—42no—
409#443—42no—
410#443—42no—
411#443—42no—
412#436—21no—
413#436—21no—
414#436—21no—
415#436—21no—
416#436—21no—
417#436—21no—
418#436—21no—
419#436—21no—
420#436—21no—
421#436—21no—
422#436—21no—
423#436—21no—
424#436—21no—
425#436—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—
442#435—21no—
443#435—21no—
444#435—21no—
445#435—21no—
446#435—21no—
447#435—21no—
448#435—21no—
449#435—21no—
450#435—21no—
451#435—21no—
452#435—21no—
453#435—21no—
454C8×D4—21no—
455C8×D4—21no—
456C8×D4—21no—
457C8×D4—21no—
458C8×D4—21no—
459C8×D4—21no—
460C8×D4—21no—
461C8×D4—21no—
462C8×D4—21no—
463C8×D4—21no—
464C8×D4—21no—
465C8×D4—21no—
466C8×D4—21no—
467C8×D4—21no—
468#433—21no—
469#433—21no—
470#433—21no—
471#433—21no—
472#433—21no—
473#433—21no—
474#433—21no—
475#433—21no—
476#433C2×C411yescharacteristic
477#433C2×C411yescharacteristic
478#433C2×C411yescharacteristic
479#433C2×C411yescharacteristic
480#433C2×C411yescharacteristic
481#433C2×C411yescharacteristic
482#433C2×C411yescharacteristic
483#433C2×C411yescharacteristic
484#432—21no—
485#432—21no—
486#431—21no—
487#431—21no—
488C2×#108C2311yescharacteristic
489C2×#108C2311yescharacteristic
490C2×#108C2311yescharacteristic
491C2×#108C2311yescharacteristic
492C2×#108C2311yescharacteristic
493C2×#108C2311yescharacteristic
494C2×#108C2311yescharacteristic
495C2×#108C2311yescharacteristic
496#424—21no—
497#424—21no—
498#424—21no—
499#424—21no—
500#424D411yescharacteristic
501#424D411yescharacteristic
502#424D411yescharacteristic
503#424D411yescharacteristic
504#424D411yescharacteristic
505#424D411yescharacteristic
506#424D411yescharacteristic
507#424D411yescharacteristic
508#424C2311yescharacteristic
509#424C2311yescharacteristic
510#424C2311yescharacteristic
511#424C2311yescharacteristic
512#423—21no—
513#423—21no—
514#423C2311yescharacteristic
515#423C2311yescharacteristic
516C2×C4⋊C8—21no—
517C2×C4⋊C8—21no—
518C2×C4⋊C8C2311yescharacteristic
519C2×C4⋊C8C2311yescharacteristic
520C2×C4⋊C8C2311yescharacteristic
521C2×C4⋊C8C2311yescharacteristic
522C2×C4⋊C8C2311yescharacteristic
523C2×C4⋊C8C2311yescharacteristic
524C2×#104C2311yescharacteristic
525C2×#104C2311yescharacteristic
526C2×#104C2311yescharacteristic
527C2×#104C2311yescharacteristic
528C2×#104C2311yescharacteristic
529C2×#104C2311yescharacteristic
530C2×#104C2311yescharacteristic
531C2×#104C2311yescharacteristic
532C2×#104C2311yescharacteristic
533C2×#104C2311yescharacteristic
534C2×#104C2311yescharacteristic
535C2×#104C2311yescharacteristic
536C2×#104C2311yescharacteristic
537C2×#104C2311yescharacteristic
538C2×#104C2311yescharacteristic
539C2×#104C2311yescharacteristic
540C2×#104C2311yescharacteristic
541C2×#104C2311yescharacteristic
542C2×#104C2311yescharacteristic
543C2×#104C2311yescharacteristic
544C2×#104C2311yescharacteristic
545C2×#104C2311yescharacteristic
546C2×#104C2311yescharacteristic
547C2×#104C2311yescharacteristic
548#416C2311yescharacteristic
549#416C2311yescharacteristic
550#416C2311yescharacteristic
551#416C2311yescharacteristic
552#416C2311yescharacteristic
553#416C2311yescharacteristic
554#416C2311yescharacteristic
555#416C2311yescharacteristic
556#408—21no—
557#408—21no—
558#408—21no—
559#408—21no—
560#408C2311yescharacteristic
561#408C2311yescharacteristic
562#408C2311yescharacteristic
563#408C2311yescharacteristic
564#408C2311yescharacteristic
565#408C2311yescharacteristic
566#408C2311yescharacteristic
567#408C2311yescharacteristic
568#408C2311yescharacteristic
569#408C2311yescharacteristic
570#408C2311yescharacteristic
571#408C2311yescharacteristic
572#407—21no—
573#407—21no—
574#407C2311yescharacteristic
575#407C2311yescharacteristic
576C2×C22⋊C8—21no—
577C2×C22⋊C8—21no—
578C2×C22⋊C8C2311yescharacteristic
579C2×C22⋊C8C2311yescharacteristic
580#405—21no—
581#405—21no—
582#405—21no—
583#405—21no—
584#405C2311yescharacteristic
585#405C2311yescharacteristic
586#405C2311yescharacteristic
587#405C2311yescharacteristic
588C4×M16C2311yescharacteristic
589C4×M16C2311yescharacteristic
590C4×M16C2311yescharacteristic
591C4×M16C2311yescharacteristic
592C4×M16C2311yescharacteristic
593C4×M16C2311yescharacteristic
594C2×#97C2311yescharacteristic
595C2×#97C2311yescharacteristic
596C2×#97C2311yescharacteristic
597C2×#97C2311yescharacteristic
598C2×#97C2311yescharacteristic
599C2×C4×C8C2311yescharacteristic
600C2×C4×C8C2311yescharacteristic
601C2×C4×C8C2311yescharacteristic
602C2×C4×C8C2311yescharacteristic
603C2×C4×C8C2311yescharacteristic
604#388—21no—
605#388—21no—
606#387—21no—
607#387—21no—
608C4×C4⋊C4C2311yescharacteristic
609C4×C4⋊C4C2311yescharacteristic
610C4×C22⋊C4C2311yescharacteristic
611C4×C22⋊C4C2311yescharacteristic
612#376C2311yescharacteristic
613C43C2311yescharacteristic
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×C4C2411yescharacteristic
669#135—41no—
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—
685C2×Q16C22×C411yescharacteristic
686C2×Q16C22×C411yescharacteristic
687C2×Q16C22×C411yescharacteristic
688C2×Q16C22×C411yescharacteristic
689C2×Q16C22×C411yescharacteristic
690C2×Q16C22×C411yescharacteristic
691C2×Q16C22×C411yescharacteristic
692C2×Q16C22×C411yescharacteristic
693C2×SD16C22×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×D8C22×C411yescharacteristic
710C2×D8C22×C411yescharacteristic
711C2×D8C22×C411yescharacteristic
712C2×D8C22×C411yescharacteristic
713C2×D8C22×C411yescharacteristic
714C2×D8C22×C411yescharacteristic
715C2×D8C22×C411yescharacteristic
716C2×D8C22×C411yescharacteristic
717#131—22no—
718#131—22no—
719#131—22no—
720#131—22no—
721#131—22no—
722#131—22no—
723#131—22no—
724#131—22no—
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—44no—
734#131—44no—
735#131—41no—
736#131—41no—
737#131—41no—
738#131—41no—
739#131—41no—
740#131—41no—
741#131—41no—
742#131—41no—
743#131—44no—
744#131—44no—
745C2×M16—21no—
746C2×M16—22no—
747C2×M16—22no—
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—21no—
757C2×M16—21no—
758C2×M16—21no—
759C2×M16—21no—
760C2×M16—21no—
761C2×M16—41no—
762C2×M16—41no—
763C2×M16—44no—
764C2×M16—41no—
765C2×M16—41no—
766C2×M16—44no—
767C2×M16—44no—
768C2×M16C2×D411yescharacteristic
769C2×M16C2×D411yescharacteristic
770C2×M16C2×D411yescharacteristic
771C2×M16C2×D411yescharacteristic
772C2×M16C2411yescharacteristic
773C2×M16C2411yescharacteristic
774C2×M16C2411yescharacteristic
775C2×M16C2411yescharacteristic
776C2×M16C2411yescharacteristic
777C2×M16C2411yescharacteristic
778C2×M16C2411yescharacteristic
779C2×M16C2411yescharacteristic
780C22×C8—21no—
781C22×C8—21no—
782C22×C8—21no—
783C22×C8—21no—
784C22×C8—21no—
785C22×C8—21no—
786C22×C8—21no—
787C22×C8—21no—
788C22×C8—21no—
789C22×C8—21no—
790C22×C8—21no—
791C22×C8—21no—
792C22×C8—21no—
793C22×C8—21no—
794C22×C8—41no—
795C22×C8—41no—
796C22×C8—44no—
797C22×C8C2×D411yescharacteristic
798C22×C8C2×D411yescharacteristic
799C22×C8C2×D411yescharacteristic
800C22×C8C2×D411yescharacteristic
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803C22×C8C2411yescharacteristic
804C22×C8C2411yescharacteristic
805C22×C8C2411yescharacteristic
806C22×C8C2411yescharacteristic
807C22×C8C2411yescharacteristic
808C22×C8C2411yescharacteristic
809C4⋊Q8C22×C411yescharacteristic
810C4⋊Q8C22×C411yescharacteristic
811C4⋊Q8C22×C411yescharacteristic
812C4⋊Q8C22×C411yescharacteristic
813C4⋊Q8C22×C411yescharacteristic
814C4⋊Q8C22×C411yescharacteristic
815C4⋊Q8C22×C411yescharacteristic
816#127C22×C411yescharacteristic
817#127C22×C411yescharacteristic
818#127C22×C411yescharacteristic
819#127C22×C411yescharacteristic
820#127C22×C411yescharacteristic
821#126—21no—
822#126—21no—
823#126—21no—
824#126—21no—
825#126—21no—
826#126—21no—
827#126—21no—
828#126—21no—
829#125—21no—
830#125—21no—
831#125—21no—
832#125—21no—
833#125C22×C411yescharacteristic
834#125C22×C411yescharacteristic
835#124—21no—
836#124—21no—
837#124—21no—
838#124—21no—
839#124C22×C411yescharacteristic
840#124C22×C411yescharacteristic
841#124C22×C411yescharacteristic
842#124C22×C411yescharacteristic
843#124C22×C411yescharacteristic
844#124C22×C411yescharacteristic
845#124C22×C411yescharacteristic
846#124C22×C411yescharacteristic
847#124C22×C411yescharacteristic
848#124C22×C411yescharacteristic
849#123—21no—
850#123—21no—
851#123—21no—
852#123—21no—
853#123—21no—
854#123—21no—
855#123—21no—
856#123—21no—
857#123—21no—
858#123—21no—
859#123—21no—
860#123—21no—
861#123—21no—
862#123—21no—
863#123—21no—
864#123—21no—
865#123—21no—
866#123—21no—
867C22⋊Q8—21no—
868C22⋊Q8—21no—
869C22⋊Q8—21no—
870C22⋊Q8—21no—
871C22⋊Q8—21no—
872C22⋊Q8—21no—
873C22⋊Q8—21no—
874C22⋊Q8—21no—
875C22⋊Q8—21no—
876C22⋊Q8—21no—
877C22⋊Q8—21no—
878C22⋊Q8—21no—
879C22⋊Q8—21no—
880C22⋊Q8—21no—
881C22⋊Q8C22×C411yescharacteristic
882C22⋊Q8C22×C411yescharacteristic
883C22⋊Q8C22×C411yescharacteristic
884C22⋊Q8C22×C411yescharacteristic
885#121—21no—
886#121—21no—
887#121—21no—
888#121—21no—
889#121—21no—
890#121—21no—
891#121—21no—
892#121—21no—
893#121—21no—
894#121—21no—
895#121—21no—
896#121—21no—
897#121—21no—
898#121—21no—
899#121—21no—
900#121—21no—
901#121—21no—
902#121—21no—
903#121—21no—
904#121—21no—
905#121—21no—
906#121—21no—
907#121C22×C411yescharacteristic
908#121C22×C411yescharacteristic
909#121C22×C411yescharacteristic
910#121C22×C411yescharacteristic
911#120—21no—
912#120—21no—
913#120—21no—
914#120—21no—
915#120—21no—
916#120—21no—
917#120—21no—
918#120—21no—
919#120—21no—
920#120—21no—
921C4×Q8—21no—
922C4×Q8—21no—
923C4×Q8C22×C411yescharacteristic
924C4×Q8C22×C411yescharacteristic
925C4×Q8C22×C411yescharacteristic
926C4×Q8C22×C411yescharacteristic
927C4×D4—21no—
928C4×D4—21no—
929C4×D4—21no—
930C4×D4—21no—
931C4×D4—21no—
932C4×D4—21no—
933C4×D4—21no—
934C4×D4—21no—
935C4×D4—21no—
936C4×D4—21no—
937C4×D4—21no—
938C4×D4—21no—
939C4×D4—21no—
940C4×D4—21no—
941C4×D4—21no—
942C4×D4—21no—
943C4×D4—21no—
944C4×D4—21no—
945C4×D4C22×C411yescharacteristic
946C4×D4C22×C411yescharacteristic
947C4×D4C22×C411yescharacteristic
948C4×D4C22×C411yescharacteristic
949#117—21no—
950#117—21no—
951#117C22×C411yescharacteristic
952#117C22×C411yescharacteristic
953#117C22×C411yescharacteristic
954#117C22×C411yescharacteristic
955#117C2×D411yescharacteristic
956#117C2×D411yescharacteristic
957#117C2×D411yescharacteristic
958#117C2×D411yescharacteristic
959#117C2411yescharacteristic
960#117C2411yescharacteristic
961C2×C4⋊C4—21no—
962C2×C4⋊C4—21no—
963C2×C4⋊C4#4111yescharacteristic
964C2×C4⋊C4#4111yescharacteristic
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4#4111yescharacteristic
968C2×C22⋊C4#4111yescharacteristic
969C2×C42—21no—
970C2×C42—21no—
971C2×C42—21no—
972C2×C42—21no—
973C2×C42C2411yescharacteristic
974C2×C42C2411yescharacteristic
975C2×C42C2411yescharacteristic
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979#108—22no—
980#108—22no—
981#108—22no—
982#108—22no—
983#108—41no—
984#108—41no—
985#108—41no—
986#108—41no—
987C4⋊C8—21no—
988C4⋊C8—21no—
989C4⋊C8—21no—
990C4⋊C8—21no—
991C4⋊C8—21no—
992C4⋊C8—21no—
993C4⋊C8—21no—
994C4⋊C8—21no—
995C4⋊C8—21no—
996C4⋊C8—21no—
997C4⋊C8—21no—
998C4⋊C8—21no—
999C4⋊C8C22×C411yescharacteristic
1000C4⋊C8C22×C411yescharacteristic
1001C4⋊C8C22×C411yescharacteristic
1002C4⋊C8C22×C411yescharacteristic
1003C4⋊C8C22×C411yescharacteristic
1004C4⋊C8C22×C411yescharacteristic
1005C4⋊C8C22×C411yescharacteristic
1006C4⋊C8C22×C411yescharacteristic
1007C4⋊C8C2×D411yescharacteristic
1008C4⋊C8C2×D411yescharacteristic
1009C4⋊C8C2×D411yescharacteristic
1010C4⋊C8C2×D411yescharacteristic
1011C4⋊C8C2×D411yescharacteristic
1012C4⋊C8C2×D411yescharacteristic
1013C4⋊C8C2×D411yescharacteristic
1014C4⋊C8C2×D411yescharacteristic
1015C4⋊C8C2×D411yescharacteristic
1016C4⋊C8C2×D411yescharacteristic
1017C4⋊C8C2×D411yescharacteristic
1018C4⋊C8C2×D411yescharacteristic
1019C4⋊C8C2×D411yescharacteristic
1020C4⋊C8C2×D411yescharacteristic
1021C4⋊C8C2×D411yescharacteristic
1022C4⋊C8C2×D411yescharacteristic
1023#104—22no—
1024#104—22no—
1025#104—22no—
1026#104—22no—
1027#104—41no—
1028#104—41no—
1029#104—41no—
1030#104—41no—
1031#104—41no—
1032#104—41no—
1033#104—41no—
1034#104—41no—
1035#104—41no—
1036#104—41no—
1037#104—41no—
1038#104—41no—
1039#104—41no—
1040#104—41no—
1041#104—41no—
1042#104—41no—
1043#104—41no—
1044#104—41no—
1045#104—41no—
1046#104—41no—
1047#103C22×C411yescharacteristic
1048#103C22×C411yescharacteristic
1049#103C22×C411yescharacteristic
1050#103C22×C411yescharacteristic
1051#103C22×C411yescharacteristic
1052#103C22×C411yescharacteristic
1053#103C22×C411yescharacteristic
1054#103C22×C411yescharacteristic
1055#103C22×C411yescharacteristic
1056#103C22×C411yescharacteristic
1057#103C22×C411yescharacteristic
1058#103C22×C411yescharacteristic
1059#103C22×C411yescharacteristic
1060#103C22×C411yescharacteristic
1061#103C22×C411yescharacteristic
1062#103C22×C411yescharacteristic
1063#102C22×C411yescharacteristic
1064#102C22×C411yescharacteristic
1065#102C22×C411yescharacteristic
1066#102C22×C411yescharacteristic
1067#102C22×C411yescharacteristic
1068#102C22×C411yescharacteristic
1069#102C22×C411yescharacteristic
1070#102C22×C411yescharacteristic
1071#102C22×C411yescharacteristic
1072#102C22×C411yescharacteristic
1073#102C22×C411yescharacteristic
1074#102C22×C411yescharacteristic
1075#102C22×C411yescharacteristic
1076#102C22×C411yescharacteristic
1077#102C22×C411yescharacteristic
1078#102C22×C411yescharacteristic
1079C22⋊C8—21no—
1080C22⋊C8—21no—
1081C22⋊C8—21no—
1082C22⋊C8—21no—
1083C22⋊C8—21no—
1084C22⋊C8—21no—
1085C22⋊C8—21no—
1086C22⋊C8—21no—
1087C22⋊C8—21no—
1088C22⋊C8—21no—
1089C22⋊C8—21no—
1090C22⋊C8—21no—
1091C22⋊C8—21no—
1092C22⋊C8—21no—
1093C22⋊C8—21no—
1094C22⋊C8—21no—
1095C22⋊C8—21no—
1096C22⋊C8—21no—
1097C22⋊C8—21no—
1098C22⋊C8—21no—
1099C22⋊C8—21no—
1100C22⋊C8—21no—
1101C22⋊C8—21no—
1102C22⋊C8—21no—
1103C22⋊C8—21no—
1104C22⋊C8—21no—
1105C22⋊C8—21no—
1106C22⋊C8—21no—
1107C22⋊C8C22×C411yescharacteristic
1108C22⋊C8C22×C411yescharacteristic
1109C22⋊C8C22×C411yescharacteristic
1110C22⋊C8C22×C411yescharacteristic
1111C22⋊C8C22×C411yescharacteristic
1112C22⋊C8C22×C411yescharacteristic
1113C22⋊C8C22×C411yescharacteristic
1114C22⋊C8C22×C411yescharacteristic
1115#97—21no—
1116#97—21no—
1117#97—21no—
1118#97—21no—
1119#97—21no—
1120#97—21no—
1121#97—21no—
1122#97—21no—
1123#97—21no—
1124#97—21no—
1125#97—41no—
1126#97—41no—
1127#97—41no—
1128#97—41no—
1129#97C22×C411yescharacteristic
1130#97C22×C411yescharacteristic
1131#97C22×C411yescharacteristic
1132#97C22×C411yescharacteristic
1133C4×C8—21no—
1134C4×C8—21no—
1135C4×C8—21no—
1136C4×C8—21no—
1137C4×C8—21no—
1138C4×C8—21no—
1139C4×C8—21no—
1140C4×C8—21no—
1141C4×C8—21no—
1142C4×C8—21no—
1143C4×C8—41no—
1144C4×C8—41no—
1145C4×C8—41no—
1146C4×C8—41no—
1147C4×C8C22×C411yescharacteristic
1148C4×C8C22×C411yescharacteristic
1149C4×C8C22×C411yescharacteristic
1150C4×C8C22×C411yescharacteristic
1151#95—21no—
1152#95—21no—
1153#95—21no—
1154#95—21no—
1155#95—21no—
1156#95—21no—
1157C24—21no—
1158C24—21no—
1159C24C2×#4111yescharacteristic
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—21no—
1177#41—21no—
1178#41—21no—
1179#41—21no—
1180#41—21no—
1181#41—21no—
1182#41—21no—
1183#41—21no—
1184#41—41no—
1185#41—41no—
1186#41—41no—
1187#41—41no—
1188#41—41no—
1189#41—41no—
1190#41—41no—
1191#41—41no—
1192#41—42no—
1193#41—42no—
1194#41—42no—
1195#41—42no—
1196#41—42no—
1197#41—42no—
1198#41—42no—
1199#41—42no—
1200C2×Q8—21no—
1201C2×Q8—21no—
1202C2×Q8—21no—
1203C2×Q8—21no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8C23×C411yescharacteristic
1209C2×Q8C23×C411yescharacteristic
1210C2×Q8C23×C411yescharacteristic
1211C2×Q8C23×C411yescharacteristic
1212C2×Q8C23×C411yescharacteristic
1213C2×Q8C23×C411yescharacteristic
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—21no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4C23×C411yescharacteristic
1249C2×D4C23×C411yescharacteristic
1250C2×D4C23×C411yescharacteristic
1251C2×D4C23×C411yescharacteristic
1252C2×D4C23×C411yescharacteristic
1253C2×D4C23×C411yescharacteristic
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—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4C23×C411yescharacteristic
1283C22×C4C23×C411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C2×#4111yescharacteristic
1287C22×C4C2×#4111yescharacteristic
1288C22×C4C2×#4111yescharacteristic
1289C22×C4C2×#4111yescharacteristic
1290C22×C4C2×#4111yescharacteristic
1291C22×C4C2511yescharacteristic
1292Q16—41no—
1293Q16—41no—
1294Q16—41no—
1295Q16—41no—
1296Q16—41no—
1297Q16—41no—
1298Q16—41no—
1299Q16—41no—
1300SD16—41no—
1301SD16—41no—
1302SD16—41no—
1303SD16—41no—
1304SD16—41no—
1305SD16—41no—
1306SD16—41no—
1307SD16—41no—
1308SD16—41no—
1309SD16—41no—
1310SD16—41no—
1311SD16—41no—
1312SD16—41no—
1313SD16—41no—
1314SD16—41no—
1315SD16—41no—
1316D8—41no—
1317D8—41no—
1318D8—41no—
1319D8—41no—
1320D8—41no—
1321D8—41no—
1322D8—41no—
1323D8—41no—
1324M16—24no—
1325M16—21no—
1326M16—21no—
1327M16—21no—
1328M16—21no—
1329M16—21no—
1330M16—21no—
1331M16—21no—
1332M16—21no—
1333M16—21no—
1334M16—21no—
1335M16—21no—
1336M16—21no—
1337M16—21no—
1338M16—21no—
1339M16—41no—
1340M16—41no—
1341M16—41no—
1342M16—41no—
1343M16—42no—
1344M16—42no—
1345M16—42no—
1346M16—42no—
1347M16—42no—
1348M16—42no—
1349M16—42no—
1350M16—42no—
1351M16—42no—
1352M16—81no—
1353M16—81no—
1354M16—81no—
1355M16—81no—
1356M16H(5,𝔽2)12yes—
1357M16H(5,𝔽2)12yes—
1358C2×C8—24no—
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—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8—42no—
1388C2×C8—42no—
1389C2×C8—42no—
1390C2×C8—42no—
1391C2×C8—42no—
1392C2×C8—42no—
1393C2×C8—42no—
1394C2×C8—42no—
1395C2×C8—42no—
1396C2×C8—81no—
1397C2×C8—81no—
1398C2×C8—81no—
1399C2×C8—81no—
1400C2×C8C23×C411yescharacteristic
1401C2×C8C23×C411yescharacteristic
1402C2×C8C23×C411yescharacteristic
1403C2×C8C23×C411yescharacteristic
1404C2×C8C23×C411yescharacteristic
1405C2×C8C23×C411yescharacteristic
1406C2×C8C23×C411yescharacteristic
1407C2×C8C23×C411yescharacteristic
1408C2×C8C22×D411yescharacteristic
1409C2×C8C22×D411yescharacteristic
1410C2×C8C22×D411yescharacteristic
1411C2×C8C22×D411yescharacteristic
1412C2×C8C22×D411yescharacteristic
1413C2×C8C22×D411yescharacteristic
1414C2×C8C22×D411yescharacteristic
1415C2×C8C22×D411yescharacteristic
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—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—42no—
1441C4⋊C4—81no—
1442C4⋊C4C4×D411yescharacteristic
1443C4⋊C4C4×D411yescharacteristic
1444C4⋊C4C4×D411yescharacteristic
1445C4⋊C4C4×D411yescharacteristic
1446C4⋊C4C4×D411yescharacteristic
1447C4⋊C4C4×D411yescharacteristic
1448C4⋊C4C4×D411yescharacteristic
1449C4⋊C4C4×D411yescharacteristic
1450C4⋊C4C23×C411yescharacteristic
1451C4⋊C4C23×C411yescharacteristic
1452C4⋊C4C23×C411yescharacteristic
1453C4⋊C4C23×C411yescharacteristic
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—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—42no—
1489C22⋊C4—81no—
1490C22⋊C4C4×D411yescharacteristic
1491C22⋊C4C4×D411yescharacteristic
1492C22⋊C4C4×D411yescharacteristic
1493C22⋊C4C4×D411yescharacteristic
1494C22⋊C4C4×D411yescharacteristic
1495C22⋊C4C4×D411yescharacteristic
1496C22⋊C4C4×D411yescharacteristic
1497C22⋊C4C4×D411yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—42no—
1513C42—81no—
1514C42C23×C411yescharacteristic
1515C42C23×C411yescharacteristic
1516C42C23×C411yescharacteristic
1517C42C23×C411yescharacteristic
1518C42C22×D411yescharacteristic
1519C42C22×D411yescharacteristic
1520C42C22×D411yescharacteristic
1521C42C22×D411yescharacteristic
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—41no—
1531C23—41no—
1532C23—42no—
1533C23—42no—
1534C23—81no—
1535C23—81no—
1536C23—81no—
1537C23—81no—
1538C23C2×C4×D411yescharacteristic
1539C23C2×C4×D411yescharacteristic
1540C23C22×#4111yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—42no—
1554Q8—42no—
1555Q8—81no—
1556Q8—81no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—81no—
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—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—41no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4C2×C4×D411yescharacteristic
1660C2×C4C2×C4×D411yescharacteristic
1661C2×C4C2×C4×D411yescharacteristic
1662C2×C4C2×C4×D411yescharacteristic
1663C2×C4C2×C4×D411yescharacteristic
1664C2×C4C2×C4×D411yescharacteristic
1665C2×C4C2×C4×D411yescharacteristic
1666C2×C4C2×C4×D411yescharacteristic
1667C2×C4C2×C4×D411yescharacteristic
1668C2×C4C2×C4×D411yescharacteristic
1669C2×C4C24×C411yescharacteristic
1670C2×C4C23×D411yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4#58511yescharacteristic
1674C2×C4#58511yescharacteristic
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C8—21no—
1682C8—21no—
1683C8—22no—
1684C8—22no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—41no—
1694C8—41no—
1695C8—41no—
1696C8—41no—
1697C8—41no—
1698C8—41no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—81no—
1726C22—81no—
1727C22—84no—
1728C22—162no—
1729C22C22×C4×D411yescharacteristic
1730C22#350611yescharacteristic
1731C22#350611yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4C4×H(5,𝔽2)11yescharacteristic
1757C4C4×H(5,𝔽2)11yescharacteristic
1758C4#348411yescharacteristic
1759C4#348711yescharacteristic
1760C2—21no—
1761C2—21no—
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2#3426511yescharacteristic
1771C2#6018311yescharacteristic
1772C2#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×#424 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60267C2semidirect
3. #60142C2semidirect
4. #23236C2semidirect
5. #23236C2semidirect
6. #23235C2semidirect
7. #23234C2semidirect
8. #23181C2semidirect
9. #23181C2semidirect
10. #23180C2semidirect
11. #23179C2semidirect
12. #23115C2semidirect
13. #23115C2semidirect
14. #23114C2semidirect
15. #23113C2semidirect
16. #23017C2semidirect
17. #23017C2semidirect
18. #23016C2semidirect
19. #23015C2semidirect
20. #22062C2semidirect
21. #22062C2semidirect
22. #22061C2semidirect
23. #22060C2semidirect
24. #21817C2semidirect
25. #21468C2semidirect
26. #21468C2semidirect
27. #21467C2semidirect
28. #21466C2semidirect
29. #21384C2semidirect
30. #21372C2semidirect
31. #20553C2semidirect
36. #3225C4semidirect
37. #3225C4semidirect
38. #3225C4semidirect
39. #3225C4semidirect
40. #3224C4semidirect
41. #3224C4semidirect
42. #3224C4semidirect
43. #3224C4semidirect
44. #3223C4semidirect
45. #3223C4semidirect
46. #3222C4semidirect
47. #3222C4semidirect
48. #3221C4semidirect
49. #3221C4semidirect
50. #3220C4semidirect
51. #3220C4semidirect
72. #2962C22semidirect
73. #2962C22semidirect
74. C2×#444C22semidirect
75. C2×#444C22semidirect
76. C2×#444C22semidirect
77. C2×#444C22semidirect
78. C2×#443C22semidirect
79. C2×#443C22semidirect
80. C2×#443C22semidirect
81. C2×#443C22semidirect
90. #2935C22semidirect
91. #2935C22semidirect
104. #2925C22semidirect
105. #2925C22semidirect
108. #2906C22semidirect
109. #2906C22semidirect
115. #1986C22semidirect
116. #1986C22semidirect
121. #1980C22semidirect
122. #1980C22semidirect
123. #1975C22semidirect
124. #1975C22semidirect
125. #1975C22semidirect
126. #1975C22semidirect
127. #1974C22semidirect
128. #1974C22semidirect
129. #1974C22semidirect
130. #1974C22semidirect
135. #1950C22semidirect
136. #1950C22semidirect
137. #1950C22semidirect
138. #1950C22semidirect
139. #1938C22semidirect
140. #1938C22semidirect
141. #1938C22semidirect
142. #1938C22semidirect
143. #1937C22semidirect
144. #1937C22semidirect
145. #1937C22semidirect
146. #1937C22semidirect
147. #1929C22semidirect
148. #1929C22semidirect
149. #1929C22semidirect
150. #1929C22semidirect
151. #1929C22semidirect
152. #1929C22semidirect
153. #1929C22semidirect
154. #1929C22semidirect
155. #1876C22semidirect
156. #1876C22semidirect
157. #1876C22semidirect
158. #1876C22semidirect
159. #1876C22semidirect
160. #1876C22semidirect
161. #1876C22semidirect
162. #1876C22semidirect
163. #1876C22semidirect
164. #1876C22semidirect
165. #1876C22semidirect
166. #1876C22semidirect
167. #1876C22semidirect
168. #1876C22semidirect
169. #1876C22semidirect
170. #1876C22semidirect
175. #1866C22semidirect
176. #1866C22semidirect
177. #1866C22semidirect
178. #1866C22semidirect
179. #1866C22semidirect
180. #1866C22semidirect
181. #1866C22semidirect
182. #1866C22semidirect
191. #1778C22semidirect
192. #1778C22semidirect
193. C4×#108C22semidirect
194. C4×#108C22semidirect
195. #1771C22semidirect
196. #1771C22semidirect
197. #1770C22semidirect
198. C8×C4⋊C4C22semidirect
199. #1768C22semidirect
200. #1768C22semidirect
201. #1767C22semidirect
202. C4×C4⋊C8C22semidirect
203. #1765C22semidirect
204. #1765C22semidirect
205. #1765C22semidirect
206. #1765C22semidirect
207. #1764C22semidirect
208. #1764C22semidirect
209. #1764C22semidirect
210. #1764C22semidirect
211. #1759C22semidirect
212. #1759C22semidirect
213. C4×#104C22semidirect
214. C4×#104C22semidirect

Maximal subgroups

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

subgroupindex
#607972
#602672
#601422
#232362
#232352
#232342
#231812
#231802
#231792
#231152
#231142
#231132
#230172
#230162
#230152
#220622
#220612
#220602
#218172
#214682
#214672
#214662
#213842
#213722
#205532