Finite Group Databasebeta

← D43×#2469 #25264799

Subgroups — D43×#2469 #25264799

Order 11008.

2594 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D43C211yesmaximal, characteristic
2C2×C4×Q8×D43C211yesmaximal, characteristic, complemented
3#19138683C211yesmaximal, characteristic, complemented
4#19138682C211yesmaximal, characteristic, complemented
5#19138681C211yesmaximal, characteristic, complemented
6#19138680C211yesmaximal, characteristic, complemented
7#19138679C211yesmaximal, characteristic, complemented
8#19138678C211yesmaximal, characteristic, complemented
9#19138677C211yesmaximal, characteristic, complemented
10#19138676C211yesmaximal, characteristic, complemented
11#19138675C211yesmaximal, characteristic, complemented
12#19138674C211yesmaximal, characteristic, complemented
13#19138673C211yesmaximal, characteristic, complemented
14#19138672C211yesmaximal, characteristic, complemented
15#19138671C211yesmaximal, characteristic, complemented
16#19138670C211yesmaximal, characteristic, complemented
17#19138669C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic
20#395×D43C211yesmaximal, characteristic, complemented
21#393×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#387×D43C211yesmaximal, characteristic, complemented
29#387×D43C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2469C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063319C2211yescharacteristic
37C2×#13063318C2211yescharacteristic
38C2×#13063318C2211yescharacteristic
39C2×#13063318C2211yescharacteristic
40#126×D43—28no—
41C2×Q8×Dic43C2211yescharacteristic, complemented
42C2×C4×Dic86C2211yescharacteristic, complemented
43C2×C4×Dic86C2211yescharacteristic, complemented
44C2×C4×Dic86C2211yescharacteristic, complemented
45C2×#13063290C2211yescharacteristic, complemented
46C2×#13063290C2211yescharacteristic, complemented
47C2×#13063290C2211yescharacteristic, complemented
48C4×Q8×D43—28no—
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×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C42×D43C2211yescharacteristic
67C2×C42×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582840C2211yescharacteristic, complemented
75#14582839C2211yescharacteristic, complemented
76#14582838C2211yescharacteristic, complemented
77#14582837C2211yescharacteristic, complemented
78#14582823C2211yescharacteristic
79#14582822C2211yescharacteristic
80#14582822C2211yescharacteristic
81#14582822C2211yescharacteristic
82#14582821C2211yescharacteristic
83#14582821C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582820C2211yescharacteristic, complemented
86#14582820C2211yescharacteristic, complemented
87#14582820C2211yescharacteristic, complemented
88#14582819C2211yescharacteristic, complemented
89#14582819C2211yescharacteristic, complemented
90#14582819C2211yescharacteristic, complemented
91#14582818C2211yescharacteristic, complemented
92#14582812C2211yescharacteristic
93#14582812C2211yescharacteristic
94#14582812C2211yescharacteristic
95#14582811C2211yescharacteristic
96#14582811C2211yescharacteristic
97#14582811C2211yescharacteristic
98#14582810C2211yescharacteristic
99#14582798C2211yescharacteristic, complemented
100#14582797C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582796C2211yescharacteristic, complemented
103#14582795C2211yescharacteristic, complemented
104#14582794C2211yescharacteristic, complemented
105#14582794C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic
107#14582793C2211yescharacteristic
108#14582793C2211yescharacteristic
109#14582793C2211yescharacteristic
110#14582792C2211yescharacteristic
111#14582792C2211yescharacteristic
112#14582792C2211yescharacteristic
113#14582792C2211yescharacteristic
114#14582791C2211yescharacteristic
115#14582791C2211yescharacteristic
116#14582791C2211yescharacteristic
117#14582791C2211yescharacteristic
118#14582790C2211yescharacteristic
119#14582790C2211yescharacteristic
120#14582790C2211yescharacteristic
121#14582790C2211yescharacteristic
122#14582789C2211yescharacteristic
123#14582789C2211yescharacteristic
124#14582789C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582788C2211yescharacteristic
127#14582788C2211yescharacteristic
128#14582788C2211yescharacteristic
129#14582788C2211yescharacteristic
130#14582787C2211yescharacteristic
131#14582787C2211yescharacteristic
132#14582787C2211yescharacteristic
133#14582787C2211yescharacteristic
134#14582786C2211yescharacteristic, complemented
135#14582786C2211yescharacteristic, complemented
136#14582786C2211yescharacteristic, complemented
137#14582785C2211yescharacteristic, complemented
138#14582785C2211yescharacteristic, complemented
139#14582785C2211yescharacteristic, complemented
140#14582784C2211yescharacteristic, complemented
141#14582784C2211yescharacteristic, complemented
142#14582784C2211yescharacteristic, complemented
143#14582783C2211yescharacteristic, complemented
144#14582783C2211yescharacteristic, complemented
145#14582783C2211yescharacteristic, complemented
146#14582782C2211yescharacteristic, complemented
147#14582782C2211yescharacteristic, complemented
148#14582782C2211yescharacteristic, complemented
149#14582781C2211yescharacteristic, complemented
150#14582781C2211yescharacteristic, complemented
151#14582781C2211yescharacteristic, complemented
152#14582780C2211yescharacteristic, complemented
153#14582780C2211yescharacteristic, complemented
154#14582780C2211yescharacteristic, complemented
155C4⋊C4×Dic43C2211yescharacteristic, complemented
156C4⋊C4×Dic43C2211yescharacteristic, complemented
157C4×Dic43⋊C4C2211yescharacteristic, complemented
158C4×Dic43⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic43C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
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×C4×Q8×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic
178C43×#395C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic
180C43×#389C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#387C2211yescharacteristic, complemented
186C43×#387C2211yescharacteristic, complemented
187C43×#387C2211yescharacteristic, complemented
188C4×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C2×Q8×D43—24no—
194C2×Q8×D43—24no—
195C2×Q8×D43—24no—
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063320—24no—
211#13063320—24no—
212#13063320—24no—
213#13063319—24no—
214#13063318—24no—
215#13063318—24no—
216#13063318—24no—
217Q8×Dic43—24no—
218C4×Dic86—24no—
219C4×Dic86—24no—
220C4×Dic86—24no—
221#13063290—24no—
222#13063290—24no—
223#13063290—24no—
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
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
254C4⋊C4×D43—24no—
255C4⋊C4×D43—24no—
256C4⋊C4×D43—24no—
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×D43D418yes—
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
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
285C22⋊C4×D43—24no—
286C22⋊C4×D43—24no—
287C22⋊C4×D43—24no—
288C22⋊C4×D43—24no—
289C22⋊C4×D43—24no—
290C22⋊C4×D43—24no—
291C22⋊C4×D43—24no—
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
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
307C42×D43—24no—
308C42×D43—24no—
309C42×D43—24no—
310C42×D43—24no—
311C42×D43—24no—
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
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
348C22×Q8×C43C2311yescharacteristic
349#126×C43—24no—
350C4×Q8×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×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
395C2×Q8×C43—22no—
396C2×Q8×C43—22no—
397C2×Q8×C43—22no—
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×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426Q8×D43—232no—
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×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43C2×D414yes—
463C2×C4×D43C2×D414yes—
464C2×C4×D43C2×D414yes—
465C2×C4×D43#4114yes—
466C2×C4×D43#4114yes—
467C2×C4×D43#4114yes—
468C2×C4×D43#4114yes—
469C2×Dic86—22no—
470C2×Dic86—22no—
471C2×Dic86—22no—
472C2×Dic86—22no—
473C2×Dic86—22no—
474C2×Dic86—22no—
475C2×Dic86—22no—
476C2×Dic86—22no—
477C2×Dic86—22no—
478C4⋊C4×C43—22no—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—22no—
481C4⋊C4×C43—22no—
482C4⋊C4×C43—22no—
483C4⋊C4×C43—22no—
484C4⋊C4×C43—22no—
485C4⋊C4×C43—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43C2×D414yes—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C42×C43—22no—
496C42×C43—22no—
497C42×C43—22no—
498C42×C43—22no—
499C42×C43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—22no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4—22no—
513(C2×D43)⋊C4—22no—
514(C2×D43)⋊C4—22no—
515(C2×D43)⋊C4—22no—
516(C2×D43)⋊C4—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521C4⋊Dic43—22no—
522C4⋊Dic43—22no—
523C4⋊Dic43—22no—
524C4⋊Dic43—22no—
525C4⋊Dic43—22no—
526C4⋊Dic43—22no—
527C4⋊Dic43—22no—
528C4⋊Dic43—22no—
529C4⋊Dic43—22no—
530C4⋊Dic43C2×D414yes—
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⋊C4—22no—
549Dic43⋊C4C2×D414yes—
550Dic43⋊C4C2×D414yes—
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—
565C4×Dic43—22no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43C2511yescharacteristic
574C22×D43—21no—
575C22×D43—21no—
576C22×D43—21no—
577C22×D43—21no—
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—21no—
581C22×D43—44no—
582C22×D43—44no—
583C22×D43—44no—
584C22×D43—44no—
585C22×D43—44no—
586C22×D43—44no—
587C22×D43—44no—
588C22×D43C22×D412yes—
589C22×D43C2×#4112yes—
590C22×D43C2×#4112yes—
591C22×D43C2×#4112yes—
592C22×D43C2×#4112yes—
593C22×D432−1+412yes—
594C22×D432−1+412yes—
595Q8×C43—28no—
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×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43C22×D412yes—
632C2×C4×C43C22×D412yes—
633C2×C4×C43C22×D412yes—
634C2×C4×C43C2×#4112yes—
635C2×C4×C43C2×#4112yes—
636C2×C4×C43C2×#4112yes—
637C2×C4×C43C2×#4112yes—
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×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43C22×D412yes—
674C2×Dic43C22×D412yes—
675C2×Dic43C22×D412yes—
676C2×Dic43C2×#4112yes—
677C2×Dic43C2×#4112yes—
678C2×Dic43C2×#4112yes—
679C2×Dic43C2×#4112yes—
680C4×D43—28no—
681C4×D43—28no—
682C4×D43—28no—
683C4×D43—28no—
684C4×D43—28no—
685C4×D43—28no—
686C4×D43—28no—
687C4×D43—44no—
688C4×D43—44no—
689C4×D43—44no—
690C4×D43—44no—
691C4×D43—44no—
692C4×D43—44no—
693C4×D43—44no—
694Dic86—28no—
695Dic86—28no—
696Dic86—28no—
697C2×#2469—431nomaximal, Sylow
698C22×C43—41no—
699C22×C43—41no—
700C22×C43—41no—
701C22×C43—41no—
702C22×C43—41no—
703C22×C43—41no—
704C22×C43—41no—
705C22×C43C23×D411yescharacteristic
706C22×C43C22×#4111yescharacteristic
707C22×C43C22×#4111yescharacteristic
708C22×C43C22×#4111yescharacteristic
709C22×C43C22×#4111yescharacteristic
710C22×C43C2×2−1+411yescharacteristic
711C22×C43C2×2−1+411yescharacteristic
712C2×D43—41no—
713C2×D43—41no—
714C2×D43—41no—
715C2×D43—41no—
716C2×D43—41no—
717C2×D43—41no—
718C2×D43—41no—
719C2×D43—88no—
720C2×D43#52514yes—
721C2×D43#52914yes—
722C2×D43#54114yes—
723C2×D43#54714yes—
724C2×D43#54814yes—
725C2×D43#55614yes—
726C2×D43#55614yes—
727C4×C43—22no—
728C4×C43—22no—
729C4×C43—22no—
730C4×C43—22no—
731C4×C43—22no—
732C4×C43—22no—
733C4×C43—22no—
734C4×C43—41no—
735C4×C43—41no—
736C4×C43—41no—
737C4×C43—41no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741Dic43—22no—
742Dic43—22no—
743Dic43—22no—
744Dic43—22no—
745Dic43—22no—
746Dic43—22no—
747Dic43—22no—
748Dic43—41no—
749Dic43—41no—
750Dic43—41no—
751Dic43—41no—
752Dic43—41no—
753Dic43—41no—
754Dic43—41no—
755C22×#126—431no—
756C22×C4×Q8—431no—
757#2469—431no—
758#2469—431no—
759#2469—431no—
760#2469—431no—
761#2469—431no—
762#2469—431no—
763#2469—431no—
764#2469—431no—
765#2469—431no—
766#2469—431no—
767#2469—431no—
768#2469—431no—
769#2469—431no—
770#2469—431no—
771#2469—431no—
772#2469D4311yescharacteristic, direct product factor
773C2×#400—431no—
774C2×#396—431no—
775C2×#395—431no—
776C2×#393—431no—
777C2×#389—431no—
778C2×#388—431no—
779C2×#388—431no—
780C2×#388—431no—
781C2×#388—431no—
782C2×#387—431no—
783C2×#387—431no—
784C2×#387—431no—
785C2×C4×C4⋊C4—431no—
786C2×C43—81no—
787C2×C43C2×#52511yescharacteristic
788C2×C43C2×#52911yescharacteristic
789C2×C43C2×#54111yescharacteristic
790C2×C43C2×#54711yescharacteristic
791C2×C43C2×#54811yescharacteristic
792C2×C43C2×#55611yescharacteristic
793C2×C43C2×#55611yescharacteristic
794D43—81no—
795D43#246918yesdirect product factor
796C23×Q8—431no—
797C2×#126—431no—
798C2×#126—431no—
799C2×#126—431no—
800C2×#126—431no—
801C2×#126—431no—
802C2×#126—431no—
803C2×#126—431no—
804C2×#126—868no—
805C2×#126C2×D4311yescharacteristic
806C2×C4×Q8—431no—
807C2×C4×Q8—431no—
808C2×C4×Q8—431no—
809C2×C4×Q8—431no—
810C2×C4×Q8—431no—
811C2×C4×Q8—431no—
812C2×C4×Q8—431no—
813C2×C4×Q8—868no—
814C2×C4×Q8C2×D4311yescharacteristic, complemented
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×C4⋊C4—431no—
823C22×C4⋊C4—431no—
824C22×C4⋊C4—431no—
825C22×C22⋊C4—431no—
826C22×C22⋊C4—431no—
827C22×C22⋊C4—431no—
828C22×C22⋊C4—431no—
829C22×C22⋊C4—431no—
830C22×C22⋊C4—431no—
831C22×C22⋊C4—431no—
832C22×C42—431no—
833C22×C42—431no—
834C22×C42—431no—
835C22×C42—431no—
836C22×C42—431no—
837#400—431no—
838#400—431no—
839#400—431no—
840#400—431no—
841#400—431no—
842#400—431no—
843#400—431no—
844#400C2×D4311yescharacteristic, complemented
845#396—431no—
846#396—431no—
847#396—431no—
848#396—431no—
849#396—431no—
850#396—431no—
851#396—431no—
852#396C2×D4311yescharacteristic
853#395—431no—
854#395—431no—
855#395—431no—
856#395—431no—
857#395—431no—
858#395—431no—
859#395—431no—
860#395C2×D4311yescharacteristic, complemented
861#393—431no—
862#393—431no—
863#393—431no—
864#393—431no—
865#393—431no—
866#393—431no—
867#393—431no—
868#393C2×D4311yescharacteristic
869#389—431no—
870#389—431no—
871#389—431no—
872#389—431no—
873#389—431no—
874#389—431no—
875#389—431no—
876#389C2×D4311yescharacteristic, complemented
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#388—431no—
903#388—431no—
904#388—431no—
905#388C2×D4311yescharacteristic
906#388C2×D4311yescharacteristic
907#388C2×D4311yescharacteristic
908#388C2×D4311yescharacteristic
909#387—431no—
910#387—431no—
911#387—431no—
912#387—431no—
913#387—431no—
914#387—431no—
915#387—431no—
916#387—431no—
917#387—431no—
918#387—431no—
919#387—431no—
920#387—431no—
921#387—431no—
922#387—431no—
923#387—431no—
924#387—431no—
925#387—431no—
926#387—431no—
927#387—431no—
928#387—431no—
929#387—431no—
930#387C2×D4311yescharacteristic, complemented
931#387C2×D4311yescharacteristic, complemented
932#387C2×D4311yescharacteristic, complemented
933C4×C4⋊C4—431no—
934C4×C4⋊C4—431no—
935C4×C4⋊C4—431no—
936C4×C4⋊C4—431no—
937C4×C4⋊C4—431no—
938C4×C4⋊C4—431no—
939C4×C4⋊C4—431no—
940C4×C4⋊C4C2×D4311yescharacteristic, complemented
941C2×#95—431no—
942C2×#95—431no—
943C2×#95—431no—
944C2×#95—431no—
945C2×#95—431no—
946C2×#95—431no—
947C2×#95—431no—
948C2×#95—431no—
949C2×#95—431no—
950C2×#95—431no—
951C2×#95—431no—
952C2×#95—431no—
953C43C2×#246911yescharacteristic, complemented, Sylow
954C25—431no—
955C22×Q8—431no—
956C22×Q8—431no—
957C22×Q8—431no—
958C22×Q8—864no—
959C22×Q8—864no—
960C22×Q8—864no—
961C22×Q8C22×D4311yescharacteristic
962C23×C4—431no—
963C23×C4—431no—
964C23×C4—431no—
965C23×C4—431no—
966C23×C4—431no—
967C23×C4—431no—
968C23×C4—431no—
969C23×C4—431no—
970C23×C4—431no—
971C23×C4—431no—
972C23×C4—431no—
973C23×C4—431no—
974C23×C4—431no—
975C23×C4—431no—
976#126—24no—
977#126—864no—
978#126—864no—
979#126—864no—
980#126—864no—
981#126—864no—
982#126—864no—
983#126—864no—
984C4×Q8—24no—
985C4×Q8—864no—
986C4×Q8—864no—
987C4×Q8—864no—
988C4×Q8—864no—
989C4×Q8—864no—
990C4×Q8—864no—
991C4×Q8—864no—
992C2×C4⋊C4—431no—
993C2×C4⋊C4—431no—
994C2×C4⋊C4—431no—
995C2×C4⋊C4—438no—
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—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
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×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
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—864no—
1064C2×C22⋊C4—864no—
1065C2×C22⋊C4—864no—
1066C2×C22⋊C4—864no—
1067C2×C22⋊C4—864no—
1068C2×C22⋊C4—864no—
1069C2×C22⋊C4—864no—
1070C2×C22⋊C4C22×D4311yescharacteristic
1071C2×C22⋊C4C22×D4311yescharacteristic
1072C2×C22⋊C4C22×D4311yescharacteristic
1073C2×C22⋊C4C22×D4311yescharacteristic
1074C2×C22⋊C4C22×D4311yescharacteristic
1075C2×C22⋊C4C22×D4311yescharacteristic
1076C2×C22⋊C4C22×D4311yescharacteristic
1077C2×C42—431no—
1078C2×C42—431no—
1079C2×C42—431no—
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—864no—
1093C2×C42—864no—
1094C2×C42—864no—
1095C2×C42—864no—
1096C2×C42—864no—
1097C2×C42C22×D4311yescharacteristic
1098C2×C42C22×D4311yescharacteristic
1099C2×C42C22×D4311yescharacteristic
1100C2×C42C22×D4311yescharacteristic
1101C2×C42C22×D4311yescharacteristic
1102#95—431no—
1103#95—431no—
1104#95—431no—
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#95—431no—
1136#95—431no—
1137#95—431no—
1138#95C22×D4311yescharacteristic
1139#95C22×D4311yescharacteristic
1140#95C22×D4311yescharacteristic
1141#95C22×D4311yescharacteristic
1142#95C22×D4311yescharacteristic
1143#95C22×D4311yescharacteristic
1144#95C22×D4311yescharacteristic
1145#95C22×D4311yescharacteristic
1146#95C22×D4311yescharacteristic
1147#95C22×D4311yescharacteristic
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150C24—431no—
1151C24—431no—
1152C24—862no—
1153C24—862no—
1154C24—862no—
1155C24—862no—
1156C24—862no—
1157C24—862no—
1158C24—862no—
1159C24C23×D4311yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—862no—
1164C2×Q8—862no—
1165C2×Q8—862no—
1166C2×Q8—862no—
1167C2×Q8—862no—
1168C2×Q8—862no—
1169C2×Q8—8632no—
1170C2×Q8—862no—
1171C2×Q8—862no—
1172C2×Q8—862no—
1173C22×C4—431no—
1174C22×C4—431no—
1175C22×C4—431no—
1176C22×C4—431no—
1177C22×C4—431no—
1178C22×C4—431no—
1179C22×C4—431no—
1180C22×C4—434no—
1181C22×C4—434no—
1182C22×C4—434no—
1183C22×C4—434no—
1184C22×C4—434no—
1185C22×C4—434no—
1186C22×C4—434no—
1187C22×C4—431no—
1188C22×C4—431no—
1189C22×C4—431no—
1190C22×C4—431no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—431no—
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×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4C23×D4311yescharacteristic
1230C22×C4C23×D4311yescharacteristic
1231C22×C4C23×D4311yescharacteristic
1232C22×C4C23×D4311yescharacteristic
1233C22×C4C23×D4311yescharacteristic
1234C22×C4C23×D4311yescharacteristic
1235C22×C4C23×D4311yescharacteristic
1236C22×C4C23×D4311yescharacteristic
1237C22×C4C23×D4311yescharacteristic
1238C22×C4C23×D4311yescharacteristic
1239C22×C4C23×D4311yescharacteristic
1240C22×C4C23×D4311yescharacteristic
1241C22×C4C23×D4311yescharacteristic
1242C22×C4C23×D4311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—434no—
1253C4⋊C4—434no—
1254C4⋊C4—434no—
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⋊C4—862no—
1277C4⋊C4—862no—
1278C4⋊C4—862no—
1279C4⋊C4—862no—
1280C4⋊C4—862no—
1281C4⋊C4—862no—
1282C4⋊C4D4×D4314yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
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—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—862no—
1317C42—862no—
1318C42—862no—
1319C42—862no—
1320C42—862no—
1321C42—862no—
1322C42—862no—
1323C42—862no—
1324C42—862no—
1325C42—862no—
1326C42—862no—
1327C42—862no—
1328C42—862no—
1329C42—862no—
1330C42—862no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—432no—
1339C23—432no—
1340C23—432no—
1341C23—432no—
1342C23—432no—
1343C23—432no—
1344C23—432no—
1345C23—861no—
1346C23—861no—
1347C23—861no—
1348C23—861no—
1349C23—861no—
1350C23—861no—
1351C23—861no—
1352C23—1724no—
1353C23—1724no—
1354C23—1724no—
1355C23—1724no—
1356C23—1724no—
1357C23—1724no—
1358C23—1724no—
1359C23C24×D4311yescharacteristic
1360Q8—28no—
1361Q8—868no—
1362Q8—868no—
1363Q8—868no—
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—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—432no—
1400C2×C4—432no—
1401C2×C4—432no—
1402C2×C4—432no—
1403C2×C4—432no—
1404C2×C4—432no—
1405C2×C4—432no—
1406C2×C4—868no—
1407C2×C4—868no—
1408C2×C4—868no—
1409C2×C4—868no—
1410C2×C4—868no—
1411C2×C4—868no—
1412C2×C4—868no—
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—861no—
1439C2×C4—861no—
1440C2×C4—861no—
1441C2×C4—861no—
1442C2×C4—861no—
1443C2×C4—861no—
1444C2×C4—861no—
1445C2×C4—861no—
1446C2×C4—861no—
1447C2×C4—861no—
1448C2×C4—1724no—
1449C2×C4—1724no—
1450C2×C4—1724no—
1451C2×C4—1724no—
1452C2×C4—1724no—
1453C2×C4—1724no—
1454C2×C4—1724no—
1455C2×C4C2×D4×D4312yes—
1456C2×C4C2×D4×D4312yes—
1457C2×C4C2×D4×D4312yes—
1458C2×C4#41×D4312yes—
1459C2×C4#41×D4312yes—
1460C2×C4#41×D4312yes—
1461C2×C4#41×D4312yes—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—434no—
1470C22—434no—
1471C22—434no—
1472C22—434no—
1473C22—434no—
1474C22—434no—
1475C22—434no—
1476C22—3448no—
1477C22—1721no—
1478C22—1721no—
1479C22—1721no—
1480C22—1721no—
1481C22—1721no—
1482C22—1721no—
1483C22—1721no—
1484C22C22×D4×D4311yescharacteristic
1485C22C2×#41×D4311yescharacteristic
1486C22C2×#41×D4311yescharacteristic
1487C22C2×#41×D4311yescharacteristic
1488C22C2×#41×D4311yescharacteristic
1489C222−1+4×D4311yescharacteristic
1490C222−1+4×D4311yescharacteristic
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—862no—
1506C4—862no—
1507C4—862no—
1508C4—862no—
1509C4—862no—
1510C4—862no—
1511C4—862no—
1512C4—1721no—
1513C4—1721no—
1514C4—1721no—
1515C4—1721no—
1516C4—1721no—
1517C4—1721no—
1518C4—1721no—
1519C2—81no—
1520C2—438no—
1521C2—3441no—
1522C2#525×D4311yescharacteristic
1523C2#529×D4311yescharacteristic
1524C2#541×D4311yescharacteristic
1525C2#547×D4311yescharacteristic
1526C2#548×D4311yescharacteristic
1527C2#556×D4311yescharacteristic
1528C2#556×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2469C2
prime radicalC24×D43C23
hypercenter#2469D43
hypocenterC43C2×#2469
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2469

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D43C2semidirect
3. #19138683C2semidirect
4. #19138682C2semidirect
5. #19138681C2semidirect
6. #19138680C2semidirect
7. #19138679C2semidirect
8. #19138678C2semidirect
9. #19138677C2semidirect
10. #19138676C2semidirect
11. #19138675C2semidirect
12. #19138674C2semidirect
13. #19138673C2semidirect
14. #19138672C2semidirect
15. #19138671C2semidirect
16. #19138670C2semidirect
17. #19138669C2semidirect
18. #400×D43C2semidirect
20. #395×D43C2semidirect
22. #389×D43C2semidirect
27. #387×D43C2semidirect
28. #387×D43C2semidirect
29. #387×D43C2semidirect
30. C4×C4⋊C4×D43C2semidirect
31. C43×#2469C2semidirect
41. C2×Q8×Dic43C22semidirect
42. C2×C4×Dic86C22semidirect
43. C2×C4×Dic86C22semidirect
44. C2×C4×Dic86C22semidirect
45. C2×#13063290C22semidirect
46. C2×#13063290C22semidirect
47. C2×#13063290C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582839C22semidirect
76. #14582838C22semidirect
77. #14582837C22semidirect
85. #14582820C22semidirect
86. #14582820C22semidirect
87. #14582820C22semidirect
88. #14582819C22semidirect
89. #14582819C22semidirect
90. #14582819C22semidirect
91. #14582818C22semidirect
99. #14582798C22semidirect
100. #14582797C22semidirect
101. #14582796C22semidirect
102. #14582796C22semidirect
103. #14582795C22semidirect
104. #14582794C22semidirect
105. #14582794C22semidirect
134. #14582786C22semidirect
135. #14582786C22semidirect
136. #14582786C22semidirect
137. #14582785C22semidirect
138. #14582785C22semidirect
139. #14582785C22semidirect
140. #14582784C22semidirect
141. #14582784C22semidirect
142. #14582784C22semidirect
143. #14582783C22semidirect
144. #14582783C22semidirect
145. #14582783C22semidirect
146. #14582782C22semidirect
147. #14582782C22semidirect
148. #14582782C22semidirect
149. #14582781C22semidirect
150. #14582781C22semidirect
151. #14582781C22semidirect
152. #14582780C22semidirect
153. #14582780C22semidirect
154. #14582780C22semidirect
155. C4⋊C4×Dic43C22semidirect
156. C4⋊C4×Dic43C22semidirect
157. C4×Dic43⋊C4C22semidirect
158. C4×Dic43⋊C4C22semidirect
159. C4×C4⋊Dic43C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
175. C2×C4×Q8×C43C22semidirect
176. C43×#400C22semidirect
178. C43×#395C22semidirect
180. C43×#389C22semidirect
185. C43×#387C22semidirect
186. C43×#387C22semidirect
187. C43×#387C22semidirect
188. C4×C4⋊C4×C43C22semidirect
772. #2469D43direct (N × H)
795. D43#2469direct (N × H)
814. C2×C4×Q8C2×D43semidirect
844. #400C2×D43semidirect
860. #395C2×D43semidirect
876. #389C2×D43semidirect
930. #387C2×D43semidirect
931. #387C2×D43semidirect
932. #387C2×D43semidirect
940. C4×C4⋊C4C2×D43semidirect
953. C43C2×#2469semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D432
C2×C4×Q8×D432
#191386832
#191386822
#191386812
#191386802
#191386792
#191386782
#191386772
#191386762
#191386752
#191386742
#191386732
#191386722
#191386712
#191386702
#191386692
#400×D432
#396×D432
#395×D432
#393×D432
#389×D432
#388×D432
#387×D432
C4×C4⋊C4×D432
C43×#24692
C2×#246943