Finite Group Databasebeta

← D43×#2519 #25265676

Subgroups — D43×#2519 #25265676

Order 11008.

2466 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D43C211yesmaximal, characteristic
2C2×#125×D43C211yesmaximal, characteristic, complemented
3#19139275C211yesmaximal, characteristic, complemented
4#19139274C211yesmaximal, characteristic, complemented
5#19139273C211yesmaximal, characteristic, complemented
6#19139272C211yesmaximal, characteristic, complemented
7#19139271C211yesmaximal, characteristic, complemented
8#19139270C211yesmaximal, characteristic, complemented
9#19139269C211yesmaximal, characteristic, complemented
10#19139268C211yesmaximal, characteristic, complemented
11#19139267C211yesmaximal, characteristic, complemented
12#19139266C211yesmaximal, characteristic, complemented
13#19139265C211yesmaximal, characteristic, complemented
14#19139264C211yesmaximal, characteristic, complemented
15#19139263C211yesmaximal, characteristic, complemented
16#19139262C211yesmaximal, characteristic, complemented
17#19139261C211yesmaximal, characteristic, complemented
18#399×D43C211yesmaximal, characteristic
19#398×D43C211yesmaximal, characteristic, complemented
20#398×D43C211yesmaximal, characteristic, complemented
21#396×D43C211yesmaximal, characteristic
22#389×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic
24#388×D43C211yesmaximal, characteristic
25#388×D43C211yesmaximal, characteristic
26#388×D43C211yesmaximal, characteristic
27#387×D43C211yesmaximal, characteristic, complemented
28#382×D43C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2519C211yesmaximal, characteristic, complemented
32C2×#13063320C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063320C2211yescharacteristic
35C2×#13063319C2211yescharacteristic
36C2×#13063318C2211yescharacteristic
37C2×#13063318C2211yescharacteristic
38C2×#13063318C2211yescharacteristic
39#126×D43—28no—
40C2×#13063317C2211yescharacteristic, complemented
41C2×#13063316C2211yescharacteristic, complemented
42C2×#13063316C2211yescharacteristic, complemented
43C2×#13063315C2211yescharacteristic, complemented
44C2×#13063315C2211yescharacteristic, complemented
45C2×#13063315C2211yescharacteristic, complemented
46C2×#13063315C2211yescharacteristic, complemented
47#125×D43—28no—
48C2×C4⋊C4×D43C2211yescharacteristic
49C2×C4⋊C4×D43C2211yescharacteristic
50C2×C4⋊C4×D43C2211yescharacteristic
51C2×C4⋊C4×D43C2211yescharacteristic
52C2×C4⋊C4×D43C2211yescharacteristic
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C4⋊C4×D43C2211yescharacteristic
60C2×C4⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic
72C2×C42×D43C2211yescharacteristic
73#14582836C2211yescharacteristic
74#14582835C2211yescharacteristic
75#14582835C2211yescharacteristic
76#14582835C2211yescharacteristic
77#14582834C2211yescharacteristic
78#14582834C2211yescharacteristic
79#14582834C2211yescharacteristic
80#14582833C2211yescharacteristic, complemented
81#14582833C2211yescharacteristic, complemented
82#14582833C2211yescharacteristic, complemented
83#14582833C2211yescharacteristic, complemented
84#14582832C2211yescharacteristic, complemented
85#14582832C2211yescharacteristic, complemented
86#14582832C2211yescharacteristic, complemented
87#14582832C2211yescharacteristic, complemented
88#14582831C2211yescharacteristic, complemented
89#14582831C2211yescharacteristic, complemented
90#14582830C2211yescharacteristic, complemented
91#14582830C2211yescharacteristic, complemented
92#14582829C2211yescharacteristic, complemented
93#14582829C2211yescharacteristic, complemented
94#14582823C2211yescharacteristic
95#14582822C2211yescharacteristic
96#14582822C2211yescharacteristic
97#14582822C2211yescharacteristic
98#14582821C2211yescharacteristic
99#14582821C2211yescharacteristic
100#14582821C2211yescharacteristic
101#14582798C2211yescharacteristic, complemented
102#14582797C2211yescharacteristic, complemented
103#14582796C2211yescharacteristic, complemented
104#14582796C2211yescharacteristic, complemented
105#14582795C2211yescharacteristic, complemented
106#14582794C2211yescharacteristic, complemented
107#14582794C2211yescharacteristic, complemented
108#14582793C2211yescharacteristic
109#14582793C2211yescharacteristic
110#14582793C2211yescharacteristic
111#14582793C2211yescharacteristic
112#14582792C2211yescharacteristic
113#14582792C2211yescharacteristic
114#14582792C2211yescharacteristic
115#14582792C2211yescharacteristic
116#14582791C2211yescharacteristic
117#14582791C2211yescharacteristic
118#14582791C2211yescharacteristic
119#14582791C2211yescharacteristic
120#14582790C2211yescharacteristic
121#14582790C2211yescharacteristic
122#14582790C2211yescharacteristic
123#14582790C2211yescharacteristic
124#14582789C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582789C2211yescharacteristic
127#14582789C2211yescharacteristic
128#14582788C2211yescharacteristic
129#14582788C2211yescharacteristic
130#14582788C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582787C2211yescharacteristic
133#14582787C2211yescharacteristic
134#14582787C2211yescharacteristic
135#14582787C2211yescharacteristic
136#14582786C2211yescharacteristic, complemented
137#14582785C2211yescharacteristic, complemented
138#14582784C2211yescharacteristic, complemented
139#14582783C2211yescharacteristic, complemented
140#14582782C2211yescharacteristic, complemented
141#14582781C2211yescharacteristic, complemented
142#14582780C2211yescharacteristic, complemented
143#14582765C2211yescharacteristic, complemented
144#14582764C2211yescharacteristic, complemented
145#14582764C2211yescharacteristic, complemented
146#14582763C2211yescharacteristic, complemented
147#14582763C2211yescharacteristic, complemented
148#14582763C2211yescharacteristic, complemented
149#14582763C2211yescharacteristic, complemented
150C4⋊C4×Dic43C2211yescharacteristic, complemented
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155C4×Dic43⋊C4C2211yescharacteristic, complemented
156C4×Dic43⋊C4C2211yescharacteristic, complemented
157C4×Dic43⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic43C2211yescharacteristic, complemented
159C4×C4⋊Dic43C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162#14582750C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#126×C43C2211yescharacteristic
175C2×#125×C43C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic
177C43×#398C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic
180C43×#389C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#387C2211yescharacteristic, complemented
186C43×#382C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, complemented
188C4×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×C4×D43C2311yescharacteristic
191C22×C4×D43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204#13063320—24no—
205#13063320—24no—
206#13063320—24no—
207#13063319—24no—
208#13063318—24no—
209#13063318—24no—
210#13063318—24no—
211#13063317—24no—
212#13063316—24no—
213#13063316—24no—
214#13063315—24no—
215#13063315—24no—
216#13063315—24no—
217#13063315—24no—
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C4⋊C4×D43—24no—
258C4⋊C4×D43—24no—
259C4⋊C4×D43—24no—
260C4⋊C4×D43—24no—
261C4⋊C4×D43—24no—
262C4⋊C4×D43—24no—
263C4⋊C4×D43—24no—
264C4⋊C4×D43—24no—
265C4⋊C4×D43—24no—
266C4⋊C4×D43—24no—
267C4⋊C4×D43—24no—
268C4⋊C4×D43—24no—
269C4⋊C4×D43D418yes—
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C22⋊C4×D43—24no—
292C22⋊C4×D43—24no—
293C22⋊C4×D43—24no—
294C22⋊C4×D43—24no—
295C22⋊C4×D43—24no—
296C22⋊C4×D43—24no—
297C22⋊C4×D43—24no—
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C42×D43—24no—
314C42×D43—24no—
315C42×D43—24no—
316C42×D43—24no—
317C42×D43—24no—
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348#126×C43—24no—
349#125×C43—24no—
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373C2×C42×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C2×C4×D43—22no—
424C2×C4×D43—22no—
425C2×C4×D43—22no—
426C2×C4×D43—22no—
427C2×C4×D43—22no—
428C2×C4×D43—22no—
429C2×C4×D43—22no—
430C2×C4×D43—22no—
431C2×C4×D43—22no—
432C2×C4×D43—22no—
433C2×C4×D43—22no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43—22no—
441C2×C4×D43—22no—
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43C2×D414yes—
459C2×C4×D43C2×D414yes—
460C2×C4×D43C2×D414yes—
461C2×C4×D43#4114yes—
462C2×C4×D43#4114yes—
463C2×C4×D43#4114yes—
464C2×C4×D43#4114yes—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—22no—
468C4⋊C4×C43—22no—
469C4⋊C4×C43—22no—
470C4⋊C4×C43—22no—
471C4⋊C4×C43—22no—
472C4⋊C4×C43—22no—
473C4⋊C4×C43—22no—
474C4⋊C4×C43—22no—
475C4⋊C4×C43—22no—
476C4⋊C4×C43—22no—
477C4⋊C4×C43C2×D414yes—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—22no—
481C22⋊C4×C43—22no—
482C22⋊C4×C43—22no—
483C22⋊C4×C43—22no—
484C22⋊C4×C43—22no—
485C42×C43—22no—
486C42×C43—22no—
487C42×C43—22no—
488C42×C43—22no—
489C42×C43—22no—
490C22⋊Dic43—22no—
491C22⋊Dic43—22no—
492C22⋊Dic43—22no—
493C22⋊Dic43—22no—
494C22⋊Dic43—22no—
495C22⋊Dic43—22no—
496C22⋊Dic43—22no—
497(C2×D43)⋊C4—22no—
498(C2×D43)⋊C4—22no—
499(C2×D43)⋊C4—22no—
500(C2×D43)⋊C4—22no—
501(C2×D43)⋊C4—22no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511C4⋊Dic43—22no—
512C4⋊Dic43—22no—
513C4⋊Dic43—22no—
514C4⋊Dic43—22no—
515C4⋊Dic43—22no—
516C4⋊Dic43—22no—
517C4⋊Dic43—22no—
518C4⋊Dic43—22no—
519C4⋊Dic43—22no—
520C4⋊Dic43—22no—
521C4⋊Dic43—22no—
522C4⋊Dic43—22no—
523C4⋊Dic43C2×D414yes—
524Dic43⋊C4—22no—
525Dic43⋊C4—22no—
526Dic43⋊C4—22no—
527Dic43⋊C4—22no—
528Dic43⋊C4—22no—
529Dic43⋊C4—22no—
530Dic43⋊C4—22no—
531Dic43⋊C4—22no—
532Dic43⋊C4—22no—
533Dic43⋊C4—22no—
534Dic43⋊C4—22no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—22no—
538Dic43⋊C4—22no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—22no—
544Dic43⋊C4—22no—
545Dic43⋊C4—22no—
546Dic43⋊C4—22no—
547Dic43⋊C4—22no—
548Dic43⋊C4C2×D414yes—
549Dic43⋊C4C2×D414yes—
550C4×Dic43—22no—
551C4×Dic43—22no—
552C4×Dic43—22no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—22no—
557C4×Dic43—22no—
558C4×Dic43—22no—
559C4×Dic43—22no—
560C4×Dic43—22no—
561C4×Dic43—22no—
562C4×Dic43—22no—
563C4×Dic43—22no—
564C4×Dic43—22no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43C2511yescharacteristic
573C22×D43—21no—
574C22×D43—21no—
575C22×D43—21no—
576C22×D43—21no—
577C22×D43—21no—
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—44no—
581C22×D43—44no—
582C22×D43—44no—
583C22×D43—44no—
584C22×D43—44no—
585C22×D43—44no—
586C22×D43—44no—
587C22×D43C22×D412yes—
588C22×D43C2×#4112yes—
589C22×D43C2×#4112yes—
590C22×D43C2×#4112yes—
591C22×D43C2×#4112yes—
592C22×D432−1+412yes—
593C22×D432−1+412yes—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43C22×D412yes—
630C2×C4×C43C22×D412yes—
631C2×C4×C43C22×D412yes—
632C2×C4×C43C2×#4112yes—
633C2×C4×C43C2×#4112yes—
634C2×C4×C43C2×#4112yes—
635C2×C4×C43C2×#4112yes—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43C22×D412yes—
672C2×Dic43C22×D412yes—
673C2×Dic43C22×D412yes—
674C2×Dic43C2×#4112yes—
675C2×Dic43C2×#4112yes—
676C2×Dic43C2×#4112yes—
677C2×Dic43C2×#4112yes—
678C4×D43—28no—
679C4×D43—28no—
680C4×D43—28no—
681C4×D43—28no—
682C4×D43—28no—
683C4×D43—28no—
684C4×D43—28no—
685C4×D43—44no—
686C4×D43—44no—
687C4×D43—44no—
688C4×D43—44no—
689C4×D43—44no—
690C4×D43—44no—
691C4×D43—44no—
692C2×#2519—431nomaximal, Sylow
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43—41no—
697C22×C43—41no—
698C22×C43—41no—
699C22×C43—41no—
700C22×C43C23×D411yescharacteristic
701C22×C43C22×#4111yescharacteristic
702C22×C43C22×#4111yescharacteristic
703C22×C43C22×#4111yescharacteristic
704C22×C43C22×#4111yescharacteristic
705C22×C43C2×2−1+411yescharacteristic
706C22×C43C2×2−1+411yescharacteristic
707C2×D43—41no—
708C2×D43—41no—
709C2×D43—41no—
710C2×D43—41no—
711C2×D43—41no—
712C2×D43—41no—
713C2×D43—41no—
714C2×D43—88no—
715C2×D43#52914yes—
716C2×D43#53214yes—
717C2×D43#54114yes—
718C2×D43#54714yes—
719C2×D43#54814yes—
720C2×D43#55214yes—
721C2×D43#55214yes—
722C4×C43—22no—
723C4×C43—22no—
724C4×C43—22no—
725C4×C43—22no—
726C4×C43—22no—
727C4×C43—22no—
728C4×C43—22no—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733C4×C43—41no—
734C4×C43—41no—
735C4×C43—41no—
736Dic43—22no—
737Dic43—22no—
738Dic43—22no—
739Dic43—22no—
740Dic43—22no—
741Dic43—22no—
742Dic43—22no—
743Dic43—41no—
744Dic43—41no—
745Dic43—41no—
746Dic43—41no—
747Dic43—41no—
748Dic43—41no—
749Dic43—41no—
750C22×#126—431no—
751C22×#125—431no—
752#2519—431no—
753#2519—431no—
754#2519—431no—
755#2519—431no—
756#2519—431no—
757#2519—431no—
758#2519—431no—
759#2519—431no—
760#2519—431no—
761#2519—431no—
762#2519—431no—
763#2519—431no—
764#2519—431no—
765#2519—431no—
766#2519—431no—
767#2519D4311yescharacteristic, direct product factor
768C2×#399—431no—
769C2×#398—431no—
770C2×#398—431no—
771C2×#396—431no—
772C2×#389—431no—
773C2×#388—431no—
774C2×#388—431no—
775C2×#388—431no—
776C2×#388—431no—
777C2×#387—431no—
778C2×#382—431no—
779C2×C4×C4⋊C4—431no—
780C2×C4×C4⋊C4—431no—
781C2×C43—81no—
782C2×C43C2×#52911yescharacteristic
783C2×C43C2×#53211yescharacteristic
784C2×C43C2×#54111yescharacteristic
785C2×C43C2×#54711yescharacteristic
786C2×C43C2×#54811yescharacteristic
787C2×C43C2×#55211yescharacteristic
788C2×C43C2×#55211yescharacteristic
789D43—81no—
790D43#251918yesdirect product factor
791C2×#126—431no—
792C2×#126—431no—
793C2×#126—431no—
794C2×#126—431no—
795C2×#126—431no—
796C2×#126—431no—
797C2×#126—431no—
798C2×#126—868no—
799C2×#126C2×D4311yescharacteristic
800C2×#125—431no—
801C2×#125—431no—
802C2×#125—431no—
803C2×#125—431no—
804C2×#125—431no—
805C2×#125—431no—
806C2×#125—431no—
807C2×#125—868no—
808C2×#125C2×D4311yescharacteristic, complemented
809C22×C4⋊C4—431no—
810C22×C4⋊C4—431no—
811C22×C4⋊C4—431no—
812C22×C4⋊C4—431no—
813C22×C4⋊C4—431no—
814C22×C4⋊C4—431no—
815C22×C4⋊C4—431no—
816C22×C4⋊C4—431no—
817C22×C4⋊C4—431no—
818C22×C4⋊C4—431no—
819C22×C4⋊C4—431no—
820C22×C4⋊C4—431no—
821C22×C4⋊C4—431no—
822C22×C22⋊C4—431no—
823C22×C22⋊C4—431no—
824C22×C22⋊C4—431no—
825C22×C22⋊C4—431no—
826C22×C22⋊C4—431no—
827C22×C22⋊C4—431no—
828C22×C22⋊C4—431no—
829C22×C42—431no—
830C22×C42—431no—
831C22×C42—431no—
832C22×C42—431no—
833C22×C42—431no—
834#399—431no—
835#399—431no—
836#399—431no—
837#399—431no—
838#399—431no—
839#399—431no—
840#399—431no—
841#399C2×D4311yescharacteristic
842#398—431no—
843#398—431no—
844#398—431no—
845#398—431no—
846#398—431no—
847#398—431no—
848#398—431no—
849#398—431no—
850#398—431no—
851#398—431no—
852#398—431no—
853#398—431no—
854#398—431no—
855#398—431no—
856#398C2×D4311yescharacteristic, complemented
857#398C2×D4311yescharacteristic, complemented
858#396—431no—
859#396—431no—
860#396—431no—
861#396—431no—
862#396—431no—
863#396—431no—
864#396—431no—
865#396C2×D4311yescharacteristic
866#389—431no—
867#389—431no—
868#389—431no—
869#389—431no—
870#389—431no—
871#389—431no—
872#389—431no—
873#389C2×D4311yescharacteristic, complemented
874#388—431no—
875#388—431no—
876#388—431no—
877#388—431no—
878#388—431no—
879#388—431no—
880#388—431no—
881#388—431no—
882#388—431no—
883#388—431no—
884#388—431no—
885#388—431no—
886#388—431no—
887#388—431no—
888#388—431no—
889#388—431no—
890#388—431no—
891#388—431no—
892#388—431no—
893#388—431no—
894#388—431no—
895#388—431no—
896#388—431no—
897#388—431no—
898#388—431no—
899#388—431no—
900#388—431no—
901#388—431no—
902#388C2×D4311yescharacteristic
903#388C2×D4311yescharacteristic
904#388C2×D4311yescharacteristic
905#388C2×D4311yescharacteristic
906#387—431no—
907#387—431no—
908#387—431no—
909#387—431no—
910#387—431no—
911#387—431no—
912#387—431no—
913#387C2×D4311yescharacteristic, complemented
914#382—431no—
915#382—431no—
916#382—431no—
917#382—431no—
918#382—431no—
919#382—431no—
920#382—431no—
921#382C2×D4311yescharacteristic, complemented
922C4×C4⋊C4—431no—
923C4×C4⋊C4—431no—
924C4×C4⋊C4—431no—
925C4×C4⋊C4—431no—
926C4×C4⋊C4—431no—
927C4×C4⋊C4—431no—
928C4×C4⋊C4—431no—
929C4×C4⋊C4—431no—
930C4×C4⋊C4—431no—
931C4×C4⋊C4—431no—
932C4×C4⋊C4—431no—
933C4×C4⋊C4—431no—
934C4×C4⋊C4—431no—
935C4×C4⋊C4—431no—
936C4×C4⋊C4C2×D4311yescharacteristic, complemented
937C4×C4⋊C4C2×D4311yescharacteristic, complemented
938C2×#95—431no—
939C2×#95—431no—
940C2×#95—431no—
941C2×#95—431no—
942C2×#95—431no—
943C2×#95—431no—
944C2×#95—431no—
945C2×#95—431no—
946C2×#95—431no—
947C2×#95—431no—
948C43C2×#251911yescharacteristic, complemented, Sylow
949C25—431no—
950C23×C4—431no—
951C23×C4—431no—
952C23×C4—431no—
953C23×C4—431no—
954C23×C4—431no—
955C23×C4—431no—
956C23×C4—431no—
957C23×C4—431no—
958C23×C4—431no—
959C23×C4—431no—
960C23×C4—431no—
961C23×C4—431no—
962C23×C4—431no—
963C23×C4—431no—
964#126—24no—
965#126—864no—
966#126—864no—
967#126—864no—
968#126—864no—
969#126—864no—
970#126—864no—
971#126—864no—
972#125—24no—
973#125—864no—
974#125—864no—
975#125—864no—
976#125—864no—
977#125—864no—
978#125—864no—
979#125—864no—
980C2×C4⋊C4—431no—
981C2×C4⋊C4—431no—
982C2×C4⋊C4—431no—
983C2×C4⋊C4—438no—
984C2×C4⋊C4—431no—
985C2×C4⋊C4—431no—
986C2×C4⋊C4—431no—
987C2×C4⋊C4—431no—
988C2×C4⋊C4—431no—
989C2×C4⋊C4—431no—
990C2×C4⋊C4—431no—
991C2×C4⋊C4—431no—
992C2×C4⋊C4—431no—
993C2×C4⋊C4—431no—
994C2×C4⋊C4—431no—
995C2×C4⋊C4—431no—
996C2×C4⋊C4—431no—
997C2×C4⋊C4—431no—
998C2×C4⋊C4—431no—
999C2×C4⋊C4—431no—
1000C2×C4⋊C4—431no—
1001C2×C4⋊C4—431no—
1002C2×C4⋊C4—431no—
1003C2×C4⋊C4—431no—
1004C2×C4⋊C4—431no—
1005C2×C4⋊C4—431no—
1006C2×C4⋊C4—431no—
1007C2×C4⋊C4—431no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—864no—
1021C2×C4⋊C4—864no—
1022C2×C4⋊C4—864no—
1023C2×C4⋊C4—864no—
1024C2×C4⋊C4—864no—
1025C2×C4⋊C4—864no—
1026C2×C4⋊C4—864no—
1027C2×C4⋊C4—864no—
1028C2×C4⋊C4—864no—
1029C2×C4⋊C4—864no—
1030C2×C4⋊C4—864no—
1031C2×C4⋊C4—864no—
1032C2×C4⋊C4C22×D4311yescharacteristic
1033C2×C4⋊C4C22×D4311yescharacteristic
1034C2×C4⋊C4C22×D4311yescharacteristic
1035C2×C4⋊C4C22×D4311yescharacteristic
1036C2×C4⋊C4C22×D4311yescharacteristic
1037C2×C4⋊C4C22×D4311yescharacteristic
1038C2×C4⋊C4C22×D4311yescharacteristic
1039C2×C4⋊C4C22×D4311yescharacteristic
1040C2×C4⋊C4C22×D4311yescharacteristic
1041C2×C4⋊C4C22×D4311yescharacteristic
1042C2×C4⋊C4C22×D4311yescharacteristic
1043C2×C4⋊C4C22×D4311yescharacteristic
1044C2×C4⋊C4C22×D4311yescharacteristic
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—864no—
1067C2×C22⋊C4—864no—
1068C2×C22⋊C4—864no—
1069C2×C22⋊C4—864no—
1070C2×C22⋊C4—864no—
1071C2×C22⋊C4—864no—
1072C2×C22⋊C4—864no—
1073C2×C22⋊C4C22×D4311yescharacteristic
1074C2×C22⋊C4C22×D4311yescharacteristic
1075C2×C22⋊C4C22×D4311yescharacteristic
1076C2×C22⋊C4C22×D4311yescharacteristic
1077C2×C22⋊C4C22×D4311yescharacteristic
1078C2×C22⋊C4C22×D4311yescharacteristic
1079C2×C22⋊C4C22×D4311yescharacteristic
1080C2×C42—431no—
1081C2×C42—431no—
1082C2×C42—431no—
1083C2×C42—431no—
1084C2×C42—431no—
1085C2×C42—431no—
1086C2×C42—431no—
1087C2×C42—431no—
1088C2×C42—431no—
1089C2×C42—431no—
1090C2×C42—431no—
1091C2×C42—431no—
1092C2×C42—431no—
1093C2×C42—431no—
1094C2×C42—431no—
1095C2×C42—864no—
1096C2×C42—864no—
1097C2×C42—864no—
1098C2×C42—864no—
1099C2×C42—864no—
1100C2×C42C22×D4311yescharacteristic
1101C2×C42C22×D4311yescharacteristic
1102C2×C42C22×D4311yescharacteristic
1103C2×C42C22×D4311yescharacteristic
1104C2×C42C22×D4311yescharacteristic
1105#95—431no—
1106#95—431no—
1107#95—431no—
1108#95—431no—
1109#95—431no—
1110#95—431no—
1111#95—431no—
1112#95—431no—
1113#95—431no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95C22×D4311yescharacteristic
1136#95C22×D4311yescharacteristic
1137#95C22×D4311yescharacteristic
1138#95C22×D4311yescharacteristic
1139#95C22×D4311yescharacteristic
1140#95C22×D4311yescharacteristic
1141#95C22×D4311yescharacteristic
1142#95C22×D4311yescharacteristic
1143#95C22×D4311yescharacteristic
1144#95C22×D4311yescharacteristic
1145C24—431no—
1146C24—431no—
1147C24—862no—
1148C24—862no—
1149C24—862no—
1150C24—862no—
1151C24—862no—
1152C24—862no—
1153C24—862no—
1154C24C23×D4311yescharacteristic
1155C22×C4—431no—
1156C22×C4—431no—
1157C22×C4—431no—
1158C22×C4—431no—
1159C22×C4—431no—
1160C22×C4—431no—
1161C22×C4—431no—
1162C22×C4—434no—
1163C22×C4—434no—
1164C22×C4—434no—
1165C22×C4—434no—
1166C22×C4—434no—
1167C22×C4—434no—
1168C22×C4—434no—
1169C22×C4—431no—
1170C22×C4—431no—
1171C22×C4—431no—
1172C22×C4—431no—
1173C22×C4—431no—
1174C22×C4—431no—
1175C22×C4—431no—
1176C22×C4—862no—
1177C22×C4—862no—
1178C22×C4—862no—
1179C22×C4—862no—
1180C22×C4—862no—
1181C22×C4—862no—
1182C22×C4—862no—
1183C22×C4—862no—
1184C22×C4—862no—
1185C22×C4—862no—
1186C22×C4—862no—
1187C22×C4—862no—
1188C22×C4—862no—
1189C22×C4—862no—
1190C22×C4—862no—
1191C22×C4—862no—
1192C22×C4—862no—
1193C22×C4—862no—
1194C22×C4—862no—
1195C22×C4—862no—
1196C22×C4—862no—
1197C22×C4—862no—
1198C22×C4—862no—
1199C22×C4—862no—
1200C22×C4—862no—
1201C22×C4—862no—
1202C22×C4—862no—
1203C22×C4—862no—
1204C22×C4—862no—
1205C22×C4—862no—
1206C22×C4—862no—
1207C22×C4—862no—
1208C22×C4—862no—
1209C22×C4—862no—
1210C22×C4—862no—
1211C22×C4C23×D4311yescharacteristic
1212C22×C4C23×D4311yescharacteristic
1213C22×C4C23×D4311yescharacteristic
1214C22×C4C23×D4311yescharacteristic
1215C22×C4C23×D4311yescharacteristic
1216C22×C4C23×D4311yescharacteristic
1217C22×C4C23×D4311yescharacteristic
1218C22×C4C23×D4311yescharacteristic
1219C22×C4C23×D4311yescharacteristic
1220C22×C4C23×D4311yescharacteristic
1221C22×C4C23×D4311yescharacteristic
1222C22×C4C23×D4311yescharacteristic
1223C22×C4C23×D4311yescharacteristic
1224C22×C4C23×D4311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—434no—
1238C4⋊C4—434no—
1239C4⋊C4—434no—
1240C4⋊C4—862no—
1241C4⋊C4—862no—
1242C4⋊C4—862no—
1243C4⋊C4—862no—
1244C4⋊C4—862no—
1245C4⋊C4—862no—
1246C4⋊C4—862no—
1247C4⋊C4—862no—
1248C4⋊C4—862no—
1249C4⋊C4—862no—
1250C4⋊C4—862no—
1251C4⋊C4—862no—
1252C4⋊C4—862no—
1253C4⋊C4—862no—
1254C4⋊C4—862no—
1255C4⋊C4—862no—
1256C4⋊C4—862no—
1257C4⋊C4—862no—
1258C4⋊C4—862no—
1259C4⋊C4—862no—
1260C4⋊C4—862no—
1261C4⋊C4—862no—
1262C4⋊C4—862no—
1263C4⋊C4—862no—
1264C4⋊C4—862no—
1265C4⋊C4—862no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4D4×D4314yes—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—862no—
1285C22⋊C4—862no—
1286C22⋊C4—862no—
1287C22⋊C4—862no—
1288C22⋊C4—862no—
1289C22⋊C4—862no—
1290C22⋊C4—862no—
1291C22⋊C4—862no—
1292C22⋊C4—862no—
1293C22⋊C4—862no—
1294C22⋊C4—862no—
1295C22⋊C4—862no—
1296C22⋊C4—862no—
1297C22⋊C4—862no—
1298C22⋊C4—862no—
1299C22⋊C4—862no—
1300C22⋊C4—862no—
1301C22⋊C4—862no—
1302C22⋊C4—862no—
1303C22⋊C4—862no—
1304C22⋊C4—862no—
1305C42—22no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—862no—
1311C42—862no—
1312C42—862no—
1313C42—862no—
1314C42—862no—
1315C42—862no—
1316C42—862no—
1317C42—862no—
1318C42—862no—
1319C42—862no—
1320C42—862no—
1321C42—862no—
1322C42—862no—
1323C42—862no—
1324C42—862no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—432no—
1333C23—432no—
1334C23—432no—
1335C23—432no—
1336C23—432no—
1337C23—432no—
1338C23—432no—
1339C23—861no—
1340C23—861no—
1341C23—861no—
1342C23—861no—
1343C23—861no—
1344C23—861no—
1345C23—861no—
1346C23—1724no—
1347C23—1724no—
1348C23—1724no—
1349C23—1724no—
1350C23—1724no—
1351C23—1724no—
1352C23—1724no—
1353C23C24×D4311yescharacteristic
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—432no—
1390C2×C4—432no—
1391C2×C4—432no—
1392C2×C4—432no—
1393C2×C4—432no—
1394C2×C4—432no—
1395C2×C4—432no—
1396C2×C4—868no—
1397C2×C4—868no—
1398C2×C4—868no—
1399C2×C4—868no—
1400C2×C4—868no—
1401C2×C4—868no—
1402C2×C4—868no—
1403C2×C4—861no—
1404C2×C4—861no—
1405C2×C4—861no—
1406C2×C4—861no—
1407C2×C4—861no—
1408C2×C4—861no—
1409C2×C4—861no—
1410C2×C4—861no—
1411C2×C4—861no—
1412C2×C4—861no—
1413C2×C4—861no—
1414C2×C4—861no—
1415C2×C4—861no—
1416C2×C4—861no—
1417C2×C4—861no—
1418C2×C4—861no—
1419C2×C4—861no—
1420C2×C4—861no—
1421C2×C4—861no—
1422C2×C4—861no—
1423C2×C4—861no—
1424C2×C4—861no—
1425C2×C4—861no—
1426C2×C4—861no—
1427C2×C4—861no—
1428C2×C4—861no—
1429C2×C4—861no—
1430C2×C4—861no—
1431C2×C4—861no—
1432C2×C4—861no—
1433C2×C4—861no—
1434C2×C4—861no—
1435C2×C4—861no—
1436C2×C4—861no—
1437C2×C4—861no—
1438C2×C4—1724no—
1439C2×C4—1724no—
1440C2×C4—1724no—
1441C2×C4—1724no—
1442C2×C4—1724no—
1443C2×C4—1724no—
1444C2×C4—1724no—
1445C2×C4C2×D4×D4312yes—
1446C2×C4C2×D4×D4312yes—
1447C2×C4C2×D4×D4312yes—
1448C2×C4#41×D4312yes—
1449C2×C4#41×D4312yes—
1450C2×C4#41×D4312yes—
1451C2×C4#41×D4312yes—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—434no—
1460C22—434no—
1461C22—434no—
1462C22—434no—
1463C22—434no—
1464C22—434no—
1465C22—434no—
1466C22—3448no—
1467C22—1721no—
1468C22—1721no—
1469C22—1721no—
1470C22—1721no—
1471C22—1721no—
1472C22—1721no—
1473C22—1721no—
1474C22C22×D4×D4311yescharacteristic
1475C22C2×#41×D4311yescharacteristic
1476C22C2×#41×D4311yescharacteristic
1477C22C2×#41×D4311yescharacteristic
1478C22C2×#41×D4311yescharacteristic
1479C222−1+4×D4311yescharacteristic
1480C222−1+4×D4311yescharacteristic
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—862no—
1496C4—862no—
1497C4—862no—
1498C4—862no—
1499C4—862no—
1500C4—862no—
1501C4—862no—
1502C4—1721no—
1503C4—1721no—
1504C4—1721no—
1505C4—1721no—
1506C4—1721no—
1507C4—1721no—
1508C4—1721no—
1509C2—81no—
1510C2—438no—
1511C2—3441no—
1512C2#529×D4311yescharacteristic
1513C2#532×D4311yescharacteristic
1514C2#541×D4311yescharacteristic
1515C2#547×D4311yescharacteristic
1516C2#548×D4311yescharacteristic
1517C2#552×D4311yescharacteristic
1518C2#552×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2519C2
prime radicalC24×D43C23
hypercenter#2519D43
hypocenterC43C2×#2519
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2519

Complements

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

NH ≅ G/Ntype
2. C2×#125×D43C2semidirect
3. #19139275C2semidirect
4. #19139274C2semidirect
5. #19139273C2semidirect
6. #19139272C2semidirect
7. #19139271C2semidirect
8. #19139270C2semidirect
9. #19139269C2semidirect
10. #19139268C2semidirect
11. #19139267C2semidirect
12. #19139266C2semidirect
13. #19139265C2semidirect
14. #19139264C2semidirect
15. #19139263C2semidirect
16. #19139262C2semidirect
17. #19139261C2semidirect
19. #398×D43C2semidirect
20. #398×D43C2semidirect
22. #389×D43C2semidirect
27. #387×D43C2semidirect
28. #382×D43C2semidirect
29. C4×C4⋊C4×D43C2semidirect
30. C4×C4⋊C4×D43C2semidirect
31. C43×#2519C2semidirect
40. C2×#13063317C22semidirect
41. C2×#13063316C22semidirect
42. C2×#13063316C22semidirect
43. C2×#13063315C22semidirect
44. C2×#13063315C22semidirect
45. C2×#13063315C22semidirect
46. C2×#13063315C22semidirect
80. #14582833C22semidirect
81. #14582833C22semidirect
82. #14582833C22semidirect
83. #14582833C22semidirect
84. #14582832C22semidirect
85. #14582832C22semidirect
86. #14582832C22semidirect
87. #14582832C22semidirect
88. #14582831C22semidirect
89. #14582831C22semidirect
90. #14582830C22semidirect
91. #14582830C22semidirect
92. #14582829C22semidirect
93. #14582829C22semidirect
101. #14582798C22semidirect
102. #14582797C22semidirect
103. #14582796C22semidirect
104. #14582796C22semidirect
105. #14582795C22semidirect
106. #14582794C22semidirect
107. #14582794C22semidirect
136. #14582786C22semidirect
137. #14582785C22semidirect
138. #14582784C22semidirect
139. #14582783C22semidirect
140. #14582782C22semidirect
141. #14582781C22semidirect
142. #14582780C22semidirect
143. #14582765C22semidirect
144. #14582764C22semidirect
145. #14582764C22semidirect
146. #14582763C22semidirect
147. #14582763C22semidirect
148. #14582763C22semidirect
149. #14582763C22semidirect
150. C4⋊C4×Dic43C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. C4×Dic43⋊C4C22semidirect
156. C4×Dic43⋊C4C22semidirect
157. C4×Dic43⋊C4C22semidirect
158. C4×C4⋊Dic43C22semidirect
159. C4×C4⋊Dic43C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
162. #14582750C22semidirect
163. #14582750C22semidirect
175. C2×#125×C43C22semidirect
177. C43×#398C22semidirect
178. C43×#398C22semidirect
180. C43×#389C22semidirect
185. C43×#387C22semidirect
186. C43×#382C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C4×C4⋊C4×C43C22semidirect
767. #2519D43direct (N × H)
790. D43#2519direct (N × H)
808. C2×#125C2×D43semidirect
856. #398C2×D43semidirect
857. #398C2×D43semidirect
873. #389C2×D43semidirect
913. #387C2×D43semidirect
921. #382C2×D43semidirect
936. C4×C4⋊C4C2×D43semidirect
937. C4×C4⋊C4C2×D43semidirect
948. C43C2×#2519semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D432
C2×#125×D432
#191392752
#191392742
#191392732
#191392722
#191392712
#191392702
#191392692
#191392682
#191392672
#191392662
#191392652
#191392642
#191392632
#191392622
#191392612
#399×D432
#398×D432
#396×D432
#389×D432
#388×D432
#387×D432
#382×D432
C4×C4⋊C4×D432
C43×#25192
C2×#251943