Finite Group Databasebeta

← #6389913

Subgroups — #6389913

Order 512.

2393 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2978C211yesmaximal, characteristic, complemented
2C2×#2976C211yesmaximal, characteristic, complemented
3#34936C211yesmaximal, characteristic
4#23178C211yesmaximal, characteristic, complemented
5#23178C211yesmaximal, characteristic, complemented
6#23178C211yesmaximal, characteristic, complemented
7#23177C211yesmaximal, characteristic, complemented
8#23176C211yesmaximal, characteristic, complemented
9#23175C211yesmaximal, characteristic, complemented
10#23174C211yesmaximal, characteristic, complemented
11#23174C211yesmaximal, characteristic, complemented
12#22403C211yesmaximal, characteristic, complemented
13#22402C211yesmaximal, characteristic, complemented
14#22401C211yesmaximal, characteristic, complemented
15#22400C211yesmaximal, characteristic, complemented
16#22400C211yesmaximal, characteristic, complemented
17#22400C211yesmaximal, characteristic, complemented
18#22399C211yesmaximal, characteristic, complemented
19#22398C211yesmaximal, characteristic, complemented
20#22266C211yesmaximal, characteristic, complemented
21#22266C211yesmaximal, characteristic, complemented
22#22264C211yesmaximal, characteristic, complemented
23#22262C211yesmaximal, characteristic, complemented
24#21792C211yesmaximal, characteristic, complemented
25#21792C211yesmaximal, characteristic, complemented
26#21685C211yesmaximal, characteristic, complemented
27#21685C211yesmaximal, characteristic, complemented
28#21685C211yesmaximal, characteristic, complemented
29#21684C211yesmaximal, characteristic, complemented
30#20813C211yesmaximal, characteristic, complemented
31#20468C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2978—28no—
39#2976—28no—
40C2×#436C2211yescharacteristic
41C2×#436C2211yescharacteristic
42C2×#436C2211yescharacteristic, complemented
43C2×#436C2211yescharacteristic, complemented
44C2×#436C2211yescharacteristic, complemented
45C2×#436C2211yescharacteristic, complemented
46C2×#436C2211yescharacteristic, complemented
47C2×#436C2211yescharacteristic, complemented
48C2×#436C2211yescharacteristic, complemented
49C2×#436C2211yescharacteristic, complemented
50C2×#436C2211yescharacteristic, complemented
51C2×#436C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic
53C2×#435C2211yescharacteristic
54C2×#435C2211yescharacteristic, complemented
55C2×#435C2211yescharacteristic, complemented
56C2×#435C2211yescharacteristic, complemented
57C2×#435C2211yescharacteristic, complemented
58C2×#435C2211yescharacteristic, complemented
59C2×#435C2211yescharacteristic, complemented
60C2×#435C2211yescharacteristic, complemented
61C2×#435C2211yescharacteristic, complemented
62C2×#435C2211yescharacteristic, complemented
63C2×#435C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×#435C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×C8×D4C2211yescharacteristic, complemented
69C2×C8×D4C2211yescharacteristic, complemented
70C2×C8×D4C2211yescharacteristic, complemented
71C2×C8×D4C2211yescharacteristic, complemented
72C2×#433C2211yescharacteristic
73C2×#433C2211yescharacteristic
74C2×#433C2211yescharacteristic
75C2×#433C2211yescharacteristic
76C2×#408C2211yescharacteristic
77C2×#408C2211yescharacteristic
78C2×#408C2211yescharacteristic
79C2×#408C2211yescharacteristic
80C2×#407C2211yescharacteristic
81C2×#407C2211yescharacteristic
82C2×#407C2211yescharacteristic
83C22×C22⋊C8C2211yescharacteristic
84#2542C411yescharacteristic
85#2542C411yescharacteristic
86#2541C411yescharacteristic
87#2541C411yescharacteristic
88#2540C411yescharacteristic
89#2540C411yescharacteristic
90#2540C411yescharacteristic
91#2540C411yescharacteristic
92#2539C411yescharacteristic
93#2539C411yescharacteristic
94#2539C411yescharacteristic
95#2539C411yescharacteristic
96#2501C411yescharacteristic
97#2501C411yescharacteristic
98#2433C411yescharacteristic
99#2433C411yescharacteristic
100#2397C2211yescharacteristic
101#2397C2211yescharacteristic
102#2397C2211yescharacteristic
103#2397C2211yescharacteristic
104C4×#127C2211yescharacteristic
105C4×#127C2211yescharacteristic
106C4×#127C2211yescharacteristic
107C4×#127C2211yescharacteristic
108C4×#117C2211yescharacteristic
109#1955C2211yescharacteristic
110#1955C2211yescharacteristic
111#1955C2211yescharacteristic, complemented
112#1955C2211yescharacteristic, complemented
113#1955C2211yescharacteristic, complemented
114#1955C2211yescharacteristic, complemented
115#1955C2211yescharacteristic, complemented
116#1955C2211yescharacteristic, complemented
117#1955C2211yescharacteristic, complemented
118#1955C2211yescharacteristic, complemented
119#1955C2211yescharacteristic, complemented
120#1955C2211yescharacteristic, complemented
121#1955C2211yescharacteristic, complemented
122#1955C2211yescharacteristic, complemented
123#1955C2211yescharacteristic, complemented
124#1955C2211yescharacteristic, complemented
125#1954C2211yescharacteristic
126#1954C2211yescharacteristic
127#1954C2211yescharacteristic, complemented
128#1954C2211yescharacteristic, complemented
129#1954C2211yescharacteristic, complemented
130#1954C2211yescharacteristic, complemented
131#1954C2211yescharacteristic, complemented
132#1954C2211yescharacteristic, complemented
133#1954C2211yescharacteristic, complemented
134#1954C2211yescharacteristic, complemented
135#1954C2211yescharacteristic, complemented
136#1954C2211yescharacteristic, complemented
137#1954C2211yescharacteristic, complemented
138#1954C2211yescharacteristic, complemented
139#1954C2211yescharacteristic, complemented
140#1954C2211yescharacteristic, complemented
141#1870C2211yescharacteristic
142#1870C2211yescharacteristic
143#1870C2211yescharacteristic
144#1870C2211yescharacteristic
145#1870C2211yescharacteristic
146#1870C2211yescharacteristic
147#1870C2211yescharacteristic, complemented
148#1870C2211yescharacteristic, complemented
149#1870C2211yescharacteristic, complemented
150#1870C2211yescharacteristic, complemented
151#1870C2211yescharacteristic, complemented
152#1870C2211yescharacteristic, complemented
153#1870C2211yescharacteristic, complemented
154#1870C2211yescharacteristic, complemented
155#1870C2211yescharacteristic, complemented
156#1870C2211yescharacteristic, complemented
157#1870C2211yescharacteristic, complemented
158#1870C2211yescharacteristic, complemented
159#1870C2211yescharacteristic, complemented
160#1870C2211yescharacteristic, complemented
161#1869C2211yescharacteristic
162#1869C2211yescharacteristic
163#1869C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1869C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1869C2211yescharacteristic, complemented
168#1869C2211yescharacteristic, complemented
169#1869C2211yescharacteristic, complemented
170#1869C2211yescharacteristic, complemented
171#1869C2211yescharacteristic, complemented
172#1869C2211yescharacteristic, complemented
173#1843C2211yescharacteristic, complemented
174#1843C2211yescharacteristic, complemented
175#1831C2211yescharacteristic, complemented
176#1831C2211yescharacteristic, complemented
177#1798C2211yescharacteristic
178#1798C2211yescharacteristic
179#1797C2211yescharacteristic
180#1797C2211yescharacteristic
181#1780C2211yescharacteristic
182#1780C2211yescharacteristic
183#1780C2211yescharacteristic
184#1780C2211yescharacteristic
185#1779C2211yescharacteristic
186#1779C2211yescharacteristic
187#1779C2211yescharacteristic
188#1779C2211yescharacteristic
189#1768C2211yescharacteristic, complemented
190#1768C2211yescharacteristic, complemented
191#1768C2211yescharacteristic, complemented
192#1768C2211yescharacteristic, complemented
193#1767C2211yescharacteristic, complemented
194#1767C2211yescharacteristic, complemented
195C4×C4⋊C8C2211yescharacteristic, complemented
196C4×C4⋊C8C2211yescharacteristic, complemented
197#1750C2211yescharacteristic
198#1750C2211yescharacteristic
199#1749C2211yescharacteristic
200C4×C22⋊C8C2211yescharacteristic
201#1745C2211yescharacteristic, complemented
202#1744C2211yescharacteristic, complemented
203#1726C2211yescharacteristic, complemented
204#1726C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2×C411yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#532—42no—
227#532—42no—
228C2×C4⋊Q8C2×C411yescharacteristic
229C2×#127C2×C411yescharacteristic
230C2×#127C2×C411yescharacteristic
231C2×#127C2×C411yescharacteristic
232C2×#127C2×C411yescharacteristic
233C2×#127C2×C411yescharacteristic
234C2×#124C2×C411yescharacteristic
235C2×#124C2×C411yescharacteristic
236#525—24no—
237#525—24no—
238#525—24no—
239#525—24no—
240#525—42no—
241#525—42no—
242#525—42no—
243#525—42no—
244C2×#123C2×C411yescharacteristic
245C2×#123C2×C411yescharacteristic
246C2×#123C2×C411yescharacteristic
247C2×#123C2×C411yescharacteristic
248C2×#123C2×C411yescharacteristic
249C2×#123C2×C411yescharacteristic
250C2×#123C2×C411yescharacteristic
251C2×#123C2×C411yescharacteristic
252C2×C22⋊Q8C2×C411yescharacteristic
253C2×C22⋊Q8C2×C411yescharacteristic
254C2×C22⋊Q8C2×C411yescharacteristic
255C2×C22⋊Q8C2×C411yescharacteristic
256C2×C22⋊Q8C2×C411yescharacteristic
257C2×C22⋊Q8C2×C411yescharacteristic
258C2×C22⋊Q8C2×C411yescharacteristic
259C2×C22⋊Q8C2×C411yescharacteristic
260C2×#121C2×C411yescharacteristic
261C2×#121C2×C411yescharacteristic
262C2×#121C2×C411yescharacteristic
263C2×#121C2×C411yescharacteristic
264C2×#121C2×C411yescharacteristic
265C2×#121C2×C411yescharacteristic
266C2×#121C2×C411yescharacteristic
267C2×#121C2×C411yescharacteristic
268C2×#121C2×C411yescharacteristic
269C2×#121C2×C411yescharacteristic
270C2×#121C2×C411yescharacteristic
271C2×#121C2×C411yescharacteristic
272C2×#120C2×C411yescharacteristic
273C2×#120C2×C411yescharacteristic
274C2×#120C2×C411yescharacteristic
275C2×#120C2×C411yescharacteristic
276C2×#120C2×C411yescharacteristic
277C2×#120C2×C411yescharacteristic
278C2×#120C2×C411yescharacteristic
279C2×#120C2×C411yescharacteristic
280C2×C4×D4—42no—
281C2×C4×D4—42no—
282C2×C4×D4C2×C411yescharacteristic
283C2×C4×D4C2×C411yescharacteristic
284C2×C4×D4C2×C411yescharacteristic
285C2×C4×D4C2×C411yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C2×#117C2311yescharacteristic
312C22×C4⋊C4C2×C411yescharacteristic
313C22×C22⋊C4C2×C411yescharacteristic
314C22×C22⋊C4C2×C411yescharacteristic
315C22×C42C2311yescharacteristic
316#436—24no—
317#436—24no—
318#436—24no—
319#436—24no—
320#436—24no—
321#436—24no—
322#436—42no—
323#436—42no—
324#436—42no—
325#436—42no—
326#436—42no—
327#436—42no—
328#435—24no—
329#435—24no—
330#435—24no—
331#435—24no—
332#435—24no—
333#435—24no—
334#435—24no—
335#435—24no—
336#435—42no—
337#435—42no—
338#435—42no—
339#435—42no—
340#435—42no—
341#435—42no—
342#435—42no—
343#435—42no—
344C8×D4—24no—
345C8×D4—24no—
346C8×D4—42no—
347C8×D4—42no—
348#433—24no—
349#433—24no—
350#433—24no—
351#433D418yescomplemented
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368#408—24no—
369#408—24no—
370#408—24no—
371#408—24no—
372#407—24no—
373#407—24no—
374#407—24no—
375C2×C22⋊C8—24no—
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×#97C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×#97C2311yescharacteristic
435C2×#97C2311yescharacteristic
436C2×#97C2311yescharacteristic
437C2×#97C2311yescharacteristic
438C2×#97C2311yescharacteristic
439C2×#97C2311yescharacteristic
440C2×C4×C8C2311yescharacteristic
441C2×C4×C8C2311yescharacteristic
442C2×C4×C8C2311yescharacteristic
443C2×C4×C8C2311yescharacteristic
444C2×C4×C8C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447C2×C4×C8C2311yescharacteristic
448#399C2×C411yescharacteristic
449#399C2×C411yescharacteristic
450#399C2×C411yescharacteristic
451#399C2×C411yescharacteristic
452#399C2×C411yescharacteristic
453#399C2×C411yescharacteristic
454#399C2×C411yescharacteristic
455#399C2×C411yescharacteristic
456#399C2×C411yescharacteristic
457#399C2×C411yescharacteristic
458#399C2×C411yescharacteristic
459#399C2×C411yescharacteristic
460#399C2×C411yescharacteristic
461#399C2×C411yescharacteristic
462#399C2×C411yescharacteristic
463#399C2×C411yescharacteristic
464#392C2×C411yescharacteristic
465#392C2×C411yescharacteristic
466#392C2×C411yescharacteristic
467#392C2×C411yescharacteristic
468#392C2×C411yescharacteristic
469#392C2×C411yescharacteristic
470#392C2×C411yescharacteristic
471#392C2×C411yescharacteristic
472#392C2×C411yescharacteristic
473#392C2×C411yescharacteristic
474#392C2×C411yescharacteristic
475#392C2×C411yescharacteristic
476#392C2×C411yescharacteristic
477#392C2×C411yescharacteristic
478#392C2×C411yescharacteristic
479#392C2×C411yescharacteristic
480#390C2×C411yescharacteristic
481#390C2×C411yescharacteristic
482#390C2×C411yescharacteristic
483#390C2×C411yescharacteristic
484#390C2×C411yescharacteristic
485#390C2×C411yescharacteristic
486#390C2×C411yescharacteristic
487#390C2×C411yescharacteristic
488#390C2×C411yescharacteristic
489#390C2×C411yescharacteristic
490#390C2×C411yescharacteristic
491#390C2×C411yescharacteristic
492#390C2×C411yescharacteristic
493#390C2×C411yescharacteristic
494#390C2×C411yescharacteristic
495#390C2×C411yescharacteristic
496#390C2×C411yescharacteristic
497#390C2×C411yescharacteristic
498#390C2×C411yescharacteristic
499#390C2×C411yescharacteristic
500#390C2×C411yescharacteristic
501#390C2×C411yescharacteristic
502#390C2×C411yescharacteristic
503#390C2×C411yescharacteristic
504#384C2×C411yescharacteristic
505#384C2×C411yescharacteristic
506#384C2×C411yescharacteristic
507#384C2×C411yescharacteristic
508C4×C4⋊C4C2×C411yescharacteristic
509C4×C4⋊C4C2×C411yescharacteristic
510C4×C4⋊C4C2×C411yescharacteristic
511C4×C4⋊C4C2×C411yescharacteristic
512C4×C22⋊C4C2×C411yescharacteristic
513C4×C22⋊C4C2×C411yescharacteristic
514C4×C22⋊C4C2×C411yescharacteristic
515C4×C22⋊C4C2×C411yescharacteristic
516#376C2311yescharacteristic
517#376C2311yescharacteristic
518C43C2311yescharacteristic
519C43C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536C25C22×C411yescharacteristic
537C25C22×C411yescharacteristic
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8C22×C411yescharacteristic
551C22×Q8C22×C411yescharacteristic
552C22×D4—42no—
553C22×D4—42no—
554C22×D4—42no—
555C22×D4C22×C411yescharacteristic
556C22×D4C22×C411yescharacteristic
557C22×D4C22×C411yescharacteristic
558C22×D4C22×C411yescharacteristic
559C22×D4C22×C411yescharacteristic
560C22×D4C22×C411yescharacteristic
561C22×D4C22×C411yescharacteristic
562C22×D4C22×C411yescharacteristic
563C22×D4C22×C411yescharacteristic
564C22×D4C22×C411yescharacteristic
565C22×D4C22×C411yescharacteristic
566C22×D4C22×C411yescharacteristic
567C22×D4C22×C411yescharacteristic
568C22×D4C22×C411yescharacteristic
569C22×D4C22×C411yescharacteristic
570C22×D4C22×C411yescharacteristic
571C22×D4C22×C411yescharacteristic
572C22×D4C22×C411yescharacteristic
573C22×D4C22×C411yescharacteristic
574C22×D4C22×C411yescharacteristic
575C22×D4C22×C411yescharacteristic
576C22×D4C22×C411yescharacteristic
577C22×D4C22×C411yescharacteristic
578C22×D4C22×C411yescharacteristic
579C22×D4C22×C411yescharacteristic
580C22×D4C22×C411yescharacteristic
581C22×D4C22×C411yescharacteristic
582C22×D4C22×C411yescharacteristic
583C22×D4C22×C411yescharacteristic
584C22×D4C22×C411yescharacteristic
585C23×C4—22no—
586C23×C4—22no—
587C23×C4—22no—
588C23×C4—22no—
589C23×C4—41no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4C22×C411yescharacteristic
598C23×C4C22×C411yescharacteristic
599C23×C4C22×C411yescharacteristic
600C23×C4C22×C411yescharacteristic
601C23×C4C22×C411yescharacteristic
602C23×C4C22×C411yescharacteristic
603C23×C4C22×C411yescharacteristic
604C23×C4C22×C411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C2×M16—22no—
615C2×M16—22no—
616C2×M16—22no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—22no—
620C2×M16—22no—
621C2×M16—22no—
622C2×M16—22no—
623C2×M16—22no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C2×M16—41no—
628C2×M16—41no—
629C2×M16—41no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16—41no—
633C2×M16—41no—
634C2×M16—41no—
635C2×M16—41no—
636C2×M16—41no—
637C2×M16—41no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C2×M16—41no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—22no—
648C22×C8—22no—
649C22×C8—22no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8—41no—
658C22×C8—41no—
659C22×C8—41no—
660C22×C8—41no—
661C22×C8—41no—
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C4⋊Q8—42no—
679#127—42no—
680#127—42no—
681#127—42no—
682#127—42no—
683#127—42no—
684#124—42no—
685#124—42no—
686#123—24no—
687#123—24no—
688#123—24no—
689#123—24no—
690#123—42no—
691#123—42no—
692#123—42no—
693#123—42no—
694C22⋊Q8—24no—
695C22⋊Q8—24no—
696C22⋊Q8—24no—
697C22⋊Q8—24no—
698C22⋊Q8—42no—
699C22⋊Q8—42no—
700C22⋊Q8—42no—
701C22⋊Q8—42no—
702#121—24no—
703#121—24no—
704#121—24no—
705#121—24no—
706#121—42no—
707#121—42no—
708#121—42no—
709#121—42no—
710#121—42no—
711#121—42no—
712#121—42no—
713#121—42no—
714#120—24no—
715#120—24no—
716#120—24no—
717#120—24no—
718#120—42no—
719#120—42no—
720#120—42no—
721#120—42no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—42no—
755C4×D4—42no—
756C4×D4—42no—
757C4×D4—42no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—41no—
763C4×D4—41no—
764C4×D4—41no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774#117—22no—
775#117—22no—
776#117C2×D414yes—
777#117#4114yes—
778C2×C4⋊C4—42no—
779C2×C4⋊C4C22×C411yescharacteristic
780C2×C4⋊C4C22×C411yescharacteristic
781C2×C4⋊C4C22×C411yescharacteristic
782C2×C4⋊C4C22×C411yescharacteristic
783C2×C4⋊C4C22×C411yescharacteristic
784C2×C4⋊C4C22×C411yescharacteristic
785C2×C4⋊C4C22×C411yescharacteristic
786C2×C4⋊C4C22×C411yescharacteristic
787C2×C4⋊C4C22×C411yescharacteristic
788C2×C4⋊C4C22×C411yescharacteristic
789C2×C4⋊C4C22×C411yescharacteristic
790C2×C4⋊C4C22×C411yescharacteristic
791C2×C4⋊C4C22×C411yescharacteristic
792C2×C4⋊C4C22×C411yescharacteristic
793C2×C4⋊C4C22×C411yescharacteristic
794C2×C4⋊C4C22×C411yescharacteristic
795C2×C4⋊C4C22×C411yescharacteristic
796C2×C4⋊C4C22×C411yescharacteristic
797C2×C4⋊C4C22×C411yescharacteristic
798C2×C4⋊C4C22×C411yescharacteristic
799C2×C4⋊C4C22×C411yescharacteristic
800C2×C4⋊C4C22×C411yescharacteristic
801C2×C4⋊C4C22×C411yescharacteristic
802C2×C4⋊C4C22×C411yescharacteristic
803C2×C4⋊C4C22×C411yescharacteristic
804C2×C4⋊C4C22×C411yescharacteristic
805C2×C4⋊C4C22×C411yescharacteristic
806C2×C4⋊C4C22×C411yescharacteristic
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4C22×C411yescharacteristic
810C2×C22⋊C4C22×C411yescharacteristic
811C2×C22⋊C4C22×C411yescharacteristic
812C2×C22⋊C4C22×C411yescharacteristic
813C2×C22⋊C4C22×C411yescharacteristic
814C2×C22⋊C4C22×C411yescharacteristic
815C2×C22⋊C4C22×C411yescharacteristic
816C2×C22⋊C4C22×C411yescharacteristic
817C2×C22⋊C4C22×C411yescharacteristic
818C2×C22⋊C4C22×C411yescharacteristic
819C2×C22⋊C4C22×C411yescharacteristic
820C2×C22⋊C4C22×C411yescharacteristic
821C2×C22⋊C4C22×C411yescharacteristic
822C2×C22⋊C4C22×C411yescharacteristic
823C2×C22⋊C4C22×C411yescharacteristic
824C2×C22⋊C4C22×C411yescharacteristic
825C2×C22⋊C4C22×C411yescharacteristic
826C2×C22⋊C4C22×C411yescharacteristic
827C2×C22⋊C4C22×C411yescharacteristic
828C2×C22⋊C4C22×C411yescharacteristic
829C2×C22⋊C4C22×C411yescharacteristic
830C2×C22⋊C4C22×C411yescharacteristic
831C2×C22⋊C4C22×C411yescharacteristic
832C2×C22⋊C4C22×C411yescharacteristic
833C2×C22⋊C4C22×C411yescharacteristic
834C2×C22⋊C4C22×C411yescharacteristic
835C2×C22⋊C4C22×C411yescharacteristic
836C2×C22⋊C4C22×C411yescharacteristic
837C2×C22⋊C4C22×C411yescharacteristic
838C2×C22⋊C4C22×C411yescharacteristic
839C2×C22⋊C4C22×C411yescharacteristic
840C2×C22⋊C4C22×C411yescharacteristic
841C2×C22⋊C4C22×C411yescharacteristic
842C2×C22⋊C4C22×C411yescharacteristic
843C2×C22⋊C4C22×C411yescharacteristic
844C2×C22⋊C4C22×C411yescharacteristic
845C2×C22⋊C4C22×C411yescharacteristic
846C2×C22⋊C4C22×C411yescharacteristic
847C2×C22⋊C4C22×C411yescharacteristic
848C2×C22⋊C4C22×C411yescharacteristic
849C2×C22⋊C4C22×C411yescharacteristic
850C2×C22⋊C4C22×C411yescharacteristic
851C2×C22⋊C4C22×C411yescharacteristic
852C2×C22⋊C4C22×C411yescharacteristic
853C2×C22⋊C4C22×C411yescharacteristic
854C2×C22⋊C4C22×C411yescharacteristic
855C2×C22⋊C4C22×C411yescharacteristic
856C2×C22⋊C4C22×C411yescharacteristic
857C2×C22⋊C4C22×C411yescharacteristic
858C2×C22⋊C4C22×C411yescharacteristic
859C2×C22⋊C4C22×C411yescharacteristic
860C2×C22⋊C4C22×C411yescharacteristic
861C2×C42—22no—
862C2×C42—22no—
863C2×C42C22×C411yescharacteristic
864C2×C42C22×C411yescharacteristic
865C2×C42C22×C411yescharacteristic
866C2×C42C22×C411yescharacteristic
867C2×C42C22×C411yescharacteristic
868C2×C42C22×C411yescharacteristic
869C2×C42C22×C411yescharacteristic
870C2×C42C22×C411yescharacteristic
871C2×C42C22×C411yescharacteristic
872C2×C42C22×C411yescharacteristic
873C2×C42C2411yescharacteristic
874C2×C42C2411yescharacteristic
875C2×C42C2411yescharacteristic
876C2×C42C2411yescharacteristic
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879C4⋊C8—22no—
880C4⋊C8—22no—
881C4⋊C8—22no—
882C4⋊C8—22no—
883C4⋊C8—22no—
884C4⋊C8—22no—
885C4⋊C8—22no—
886C4⋊C8—22no—
887C4⋊C8—22no—
888C4⋊C8—22no—
889C4⋊C8—22no—
890C4⋊C8—22no—
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8C2×D414yescomplemented
894C4⋊C8C2×D414yescomplemented
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—22no—
903C22⋊C8—22no—
904C22⋊C8—22no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919C22⋊C8—41no—
920C22⋊C8—41no—
921C22⋊C8—41no—
922C22⋊C8—41no—
923C22⋊C8—41no—
924C22⋊C8—41no—
925C22⋊C8—41no—
926C22⋊C8—41no—
927C22⋊C8—41no—
928C22⋊C8—41no—
929C22⋊C8—41no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8—41no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8C2×D414yes—
950C22⋊C8C2×D414yes—
951#97—22no—
952#97—22no—
953#97—22no—
954#97—22no—
955#97—22no—
956#97—22no—
957#97—22no—
958#97C2×D414yescomplemented
959C4×C8—22no—
960C4×C8—22no—
961C4×C8—22no—
962C4×C8—22no—
963C4×C8—22no—
964C4×C8—22no—
965C4×C8—22no—
966C4×C8C2×D414yescomplemented
967#95C22×C411yescharacteristic
968#95C22×C411yescharacteristic
969#95C22×C411yescharacteristic
970#95C22×C411yescharacteristic
971#95C22×C411yescharacteristic
972#95C22×C411yescharacteristic
973#95C22×C411yescharacteristic
974#95C22×C411yescharacteristic
975C24—22no—
976C24—22no—
977C24—22no—
978C24—41no—
979C24—41no—
980C24—41no—
981C24—41no—
982C24—41no—
983C24—41no—
984C24—41no—
985C24—41no—
986C24—41no—
987C24—41no—
988C24—41no—
989C24C23×C411yescharacteristic
990C24C23×C411yescharacteristic
991C24C23×C411yescharacteristic
992C24C23×C411yescharacteristic
993C24C23×C411yescharacteristic
994C24C23×C411yescharacteristic
995C24C23×C411yescharacteristic
996C24C23×C411yescharacteristic
997C24C23×C411yescharacteristic
998#41—82no—
999#41—82no—
1000#41—82no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004#41—82no—
1005#41—82no—
1006C2×Q8—22no—
1007C2×Q8—22no—
1008C2×Q8—41no—
1009C2×Q8—41no—
1010C2×Q8—41no—
1011C2×Q8—41no—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—22no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—22no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4—22no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—416no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—82no—
1180C22×C4—82no—
1181C22×C4—82no—
1182C22×C4—82no—
1183C22×C4—82no—
1184C22×C4—82no—
1185C22×C4—82no—
1186C22×C4—82no—
1187C22×C4C23×C411yescharacteristic
1188C22×C4C23×C411yescharacteristic
1189C22×C4C23×C411yescharacteristic
1190C22×C4C23×C411yescharacteristic
1191C22×C4C23×C411yescharacteristic
1192C22×C4C23×C411yescharacteristic
1193C22×C4C23×C411yescharacteristic
1194C22×C4C23×C411yescharacteristic
1195C22×C4C23×C411yescharacteristic
1196C22×C4C23×C411yescharacteristic
1197C22×C4C23×C411yescharacteristic
1198C22×C4C23×C411yescharacteristic
1199C22×C4C23×C411yescharacteristic
1200C22×C4C23×C411yescharacteristic
1201C22×C4C23×C411yescharacteristic
1202C22×C4C23×C411yescharacteristic
1203C22×C4C23×C411yescharacteristic
1204C22×C4C23×C411yescharacteristic
1205C22×C4C23×C411yescharacteristic
1206C22×C4C23×C411yescharacteristic
1207C22×C4C23×C411yescharacteristic
1208C22×C4C22×D412yes—
1209C22×C4C2×#4112yes—
1210C22×C4C2511yescharacteristic
1211M16—82no—
1212M16—82no—
1213M16—82no—
1214M16—82no—
1215M16—82no—
1216M16—82no—
1217M16—82no—
1218M16—82no—
1219M16—82no—
1220M16—82no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—82no—
1266C2×C8—82no—
1267C2×C8—82no—
1268C2×C8—82no—
1269C2×C8—82no—
1270C2×C8—82no—
1271C2×C8C22×D412yes—
1272C2×C8C22×D412yes—
1273C2×C8C22×D412yes—
1274C2×C8C22×D412yes—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4C4×D414yes—
1302C4⋊C4C4×D414yes—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4C4×D414yes—
1354C22⋊C4C4×D414yes—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42C22×D412yes—
1370C42C22×D412yes—
1371C42C2×#4112yes—
1372C42C2×#4112yes—
1373C42H(5,𝔽2)12yes—
1374C42H(5,𝔽2)12yes—
1375C42H(5,𝔽2)12yes—
1376C42H(5,𝔽2)12yes—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23C2×C4×D412yes—
1453C23#56812yes—
1454C23C24×C411yescharacteristic
1455Q8—82no—
1456Q8—82no—
1457D4—44no—
1458D4—44no—
1459D4—44no—
1460D4—44no—
1461D4—44no—
1462D4—44no—
1463D4—44no—
1464D4—44no—
1465D4—82no—
1466D4—82no—
1467D4—82no—
1468D4—82no—
1469D4—82no—
1470D4—82no—
1471D4—82no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—44no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—82no—
1584C2×C4C2×C4×D412yes—
1585C2×C4C2×C4×D412yes—
1586C2×C4C2×C4×D412yes—
1587C2×C4C2×C4×D412yes—
1588C2×C4C2×C4×D412yes—
1589C2×C4#51812yes—
1590C2×C4#51812yes—
1591C2×C4#51812yes—
1592C2×C4#51812yes—
1593C2×C4#56812yes—
1594C2×C4C23×D411yescharacteristic
1595C2×C4C22×#4111yescharacteristic
1596C2×C4C2×H(5,𝔽2)11yescharacteristic
1597C2×C4C2×H(5,𝔽2)11yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C8—22no—
1601C8—22no—
1602C8—22no—
1603C8—22no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—88no—
1680C22—88no—
1681C22C22×C4×D411yescharacteristic
1682C22C2×#51811yescharacteristic
1683C22C2×#51811yescharacteristic
1684C22C2×#56811yescharacteristic
1685C22C2×#56811yescharacteristic
1686C22#357311yescharacteristic
1687C22#357311yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4#349811yescharacteristic
1710C4#349811yescharacteristic
1711C4#350811yescharacteristic
1712C4#350811yescharacteristic
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—81no—
1720C2—81no—
1721C2—81no—
1722C2#3421011yescharacteristic
1723C2#6014611yescharacteristic
1724C2#6014711yescharacteristic
1725C2#6023411yescharacteristic
1726C2#6023511yescharacteristic
1727C2#6024011yescharacteristic
1728C2#6024111yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34936C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2978C2semidirect
2. C2×#2976C2semidirect
4. #23178C2semidirect
5. #23178C2semidirect
6. #23178C2semidirect
7. #23177C2semidirect
8. #23176C2semidirect
9. #23175C2semidirect
10. #23174C2semidirect
11. #23174C2semidirect
12. #22403C2semidirect
13. #22402C2semidirect
14. #22401C2semidirect
15. #22400C2semidirect
16. #22400C2semidirect
17. #22400C2semidirect
18. #22399C2semidirect
19. #22398C2semidirect
20. #22266C2semidirect
21. #22266C2semidirect
22. #22264C2semidirect
23. #22262C2semidirect
24. #21792C2semidirect
25. #21792C2semidirect
26. #21685C2semidirect
27. #21685C2semidirect
28. #21685C2semidirect
29. #21684C2semidirect
30. #20813C2semidirect
31. #20468C2semidirect
42. C2×#436C22semidirect
43. C2×#436C22semidirect
44. C2×#436C22semidirect
45. C2×#436C22semidirect
46. C2×#436C22semidirect
47. C2×#436C22semidirect
48. C2×#436C22semidirect
49. C2×#436C22semidirect
50. C2×#436C22semidirect
51. C2×#436C22semidirect
54. C2×#435C22semidirect
55. C2×#435C22semidirect
56. C2×#435C22semidirect
57. C2×#435C22semidirect
58. C2×#435C22semidirect
59. C2×#435C22semidirect
60. C2×#435C22semidirect
61. C2×#435C22semidirect
62. C2×#435C22semidirect
63. C2×#435C22semidirect
64. C2×#435C22semidirect
65. C2×#435C22semidirect
66. C2×#435C22semidirect
67. C2×#435C22semidirect
68. C2×C8×D4C22semidirect
69. C2×C8×D4C22semidirect
70. C2×C8×D4C22semidirect
71. C2×C8×D4C22semidirect
111. #1955C22semidirect
112. #1955C22semidirect
113. #1955C22semidirect
114. #1955C22semidirect
115. #1955C22semidirect
116. #1955C22semidirect
117. #1955C22semidirect
118. #1955C22semidirect
119. #1955C22semidirect
120. #1955C22semidirect
121. #1955C22semidirect
122. #1955C22semidirect
123. #1955C22semidirect
124. #1955C22semidirect
127. #1954C22semidirect
128. #1954C22semidirect
129. #1954C22semidirect
130. #1954C22semidirect
131. #1954C22semidirect
132. #1954C22semidirect
133. #1954C22semidirect
134. #1954C22semidirect
135. #1954C22semidirect
136. #1954C22semidirect
137. #1954C22semidirect
138. #1954C22semidirect
139. #1954C22semidirect
140. #1954C22semidirect
147. #1870C22semidirect
148. #1870C22semidirect
149. #1870C22semidirect
150. #1870C22semidirect
151. #1870C22semidirect
152. #1870C22semidirect
153. #1870C22semidirect
154. #1870C22semidirect
155. #1870C22semidirect
156. #1870C22semidirect
157. #1870C22semidirect
158. #1870C22semidirect
159. #1870C22semidirect
160. #1870C22semidirect
163. #1869C22semidirect
164. #1869C22semidirect
165. #1869C22semidirect
166. #1869C22semidirect
167. #1869C22semidirect
168. #1869C22semidirect
169. #1869C22semidirect
170. #1869C22semidirect
171. #1869C22semidirect
172. #1869C22semidirect
173. #1843C22semidirect
174. #1843C22semidirect
175. #1831C22semidirect
176. #1831C22semidirect
189. #1768C22semidirect
190. #1768C22semidirect
191. #1768C22semidirect
192. #1768C22semidirect
193. #1767C22semidirect
194. #1767C22semidirect
195. C4×C4⋊C8C22semidirect
196. C4×C4⋊C8C22semidirect
201. #1745C22semidirect
202. #1744C22semidirect
203. #1726C22semidirect
204. #1726C22semidirect
351. #433D4semidirect
893. C4⋊C8C2×D4semidirect
894. C4⋊C8C2×D4semidirect
958. #97C2×D4semidirect
966. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#29782
C2×#29762
#349362
#231782
#231772
#231762
#231752
#231742
#224032
#224022
#224012
#224002
#223992
#223982
#222662
#222642
#222622
#217922
#216852
#216842
#208132
#204682