Finite Group Databasebeta

← D43×#2373 #25256277

Subgroups — D43×#2373 #25256277

Order 11008.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D43C211yesmaximal, characteristic
2#19137722C211yesmaximal, characteristic, complemented
3#19137721C211yesmaximal, characteristic, complemented
4#19137720C211yesmaximal, characteristic, complemented
5#19137719C211yesmaximal, characteristic, complemented
6#19137718C211yesmaximal, characteristic, complemented
7#19137717C211yesmaximal, characteristic, complemented
8#19137716C211yesmaximal, characteristic, complemented
9#19137715C211yesmaximal, characteristic, complemented
10#19137714C211yesmaximal, characteristic, complemented
11#19137713C211yesmaximal, characteristic, complemented
12#19137712C211yesmaximal, characteristic, complemented
13#19137711C211yesmaximal, characteristic, complemented
14#19137710C211yesmaximal, characteristic, complemented
15#19137709C211yesmaximal, characteristic, complemented
16#19137708C211yesmaximal, characteristic, complemented
17#389×D43C211yesmaximal, characteristic, complemented
18#388×D43C211yesmaximal, characteristic
19#388×D43C211yesmaximal, characteristic
20#388×D43C211yesmaximal, characteristic
21#387×D43C211yesmaximal, characteristic, complemented
22#387×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#385×D43C211yesmaximal, characteristic
25C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
26C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
27C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
28C4×C22⋊C4×D43C211yesmaximal, characteristic
29C4×C22⋊C4×D43C211yesmaximal, characteristic
30#376×D43C211yesmaximal, characteristic, complemented
31C43×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063319C2211yescharacteristic
37C2×#13063318C2211yescharacteristic
38C2×#13063318C2211yescharacteristic
39C2×#13063318C2211yescharacteristic
40#126×D43C4116yescomplemented
41C2×C4⋊C4×D43C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43C2×C4⋊C4×D43C2211yescharacteristic
44C2×C4⋊C4×D43C2211yescharacteristic
45C2×C4⋊C4×D43C2211yescharacteristic
46C2×C4⋊C4×D43C2211yescharacteristic
47C2×C4⋊C4×D43C2211yescharacteristic
48C2×C4⋊C4×D43C2211yescharacteristic
49C2×C22⋊C4×D43C2211yescharacteristic
50C2×C22⋊C4×D43C2211yescharacteristic
51C2×C22⋊C4×D43C2211yescharacteristic
52C2×C22⋊C4×D43C2211yescharacteristic
53C2×C22⋊C4×D43C2211yescharacteristic
54C2×C22⋊C4×D43C2211yescharacteristic
55C2×C42×D43C2211yescharacteristic
56C2×C42×D43C2211yescharacteristic
57C2×C42×D43C2211yescharacteristic
58C2×C42×D43C2211yescharacteristic
59C2×C42×D43C2211yescharacteristic
60C2×C42×D43C2211yescharacteristic
61C2×C42×D43C2211yescharacteristic
62C2×C42×D43C2211yescharacteristic
63#14582798C2211yescharacteristic, complemented
64#14582797C2211yescharacteristic, complemented
65#14582796C2211yescharacteristic, complemented
66#14582796C2211yescharacteristic, complemented
67#14582795C2211yescharacteristic, complemented
68#14582794C2211yescharacteristic, complemented
69#14582794C2211yescharacteristic, complemented
70#14582793C2211yescharacteristic
71#14582793C2211yescharacteristic
72#14582793C2211yescharacteristic
73#14582792C2211yescharacteristic
74#14582792C2211yescharacteristic
75#14582792C2211yescharacteristic
76#14582791C2211yescharacteristic
77#14582791C2211yescharacteristic
78#14582791C2211yescharacteristic
79#14582790C2211yescharacteristic
80#14582790C2211yescharacteristic
81#14582790C2211yescharacteristic
82#14582789C2211yescharacteristic
83#14582789C2211yescharacteristic
84#14582789C2211yescharacteristic
85#14582788C2211yescharacteristic
86#14582788C2211yescharacteristic
87#14582788C2211yescharacteristic
88#14582787C2211yescharacteristic
89#14582787C2211yescharacteristic
90#14582787C2211yescharacteristic
91#14582786C2211yescharacteristic, complemented
92#14582786C2211yescharacteristic, complemented
93#14582786C2211yescharacteristic, complemented
94#14582785C2211yescharacteristic, complemented
95#14582785C2211yescharacteristic, complemented
96#14582785C2211yescharacteristic, complemented
97#14582784C2211yescharacteristic, complemented
98#14582784C2211yescharacteristic, complemented
99#14582784C2211yescharacteristic, complemented
100#14582783C2211yescharacteristic, complemented
101#14582783C2211yescharacteristic, complemented
102#14582783C2211yescharacteristic, complemented
103#14582782C2211yescharacteristic, complemented
104#14582782C2211yescharacteristic, complemented
105#14582782C2211yescharacteristic, complemented
106#14582781C2211yescharacteristic, complemented
107#14582781C2211yescharacteristic, complemented
108#14582781C2211yescharacteristic, complemented
109#14582780C2211yescharacteristic, complemented
110#14582780C2211yescharacteristic, complemented
111#14582780C2211yescharacteristic, complemented
112#14582774C2211yescharacteristic
113#14582773C2211yescharacteristic
114#14582773C2211yescharacteristic
115#14582772C2211yescharacteristic
116#14582771C2211yescharacteristic
117#14582770C2211yescharacteristic
118#14582770C2211yescharacteristic
119C4⋊C4×Dic43C2211yescharacteristic, complemented
120C4⋊C4×Dic43C2211yescharacteristic, complemented
121C4⋊C4×Dic43C2211yescharacteristic, complemented
122C4⋊C4×Dic43C2211yescharacteristic, complemented
123C4⋊C4×Dic43C2211yescharacteristic, complemented
124C4⋊C4×Dic43C2211yescharacteristic, complemented
125C4×Dic43⋊C4C2211yescharacteristic, complemented
126C4×Dic43⋊C4C2211yescharacteristic, complemented
127C4×Dic43⋊C4C2211yescharacteristic, complemented
128C4×Dic43⋊C4C2211yescharacteristic, complemented
129C4×Dic43⋊C4C2211yescharacteristic, complemented
130C4×Dic43⋊C4C2211yescharacteristic, complemented
131C4×C4⋊Dic43C2211yescharacteristic, complemented
132C4×C4⋊Dic43C2211yescharacteristic, complemented
133C4×C4⋊Dic43C2211yescharacteristic, complemented
134#14582750C2211yescharacteristic, complemented
135#14582750C2211yescharacteristic, complemented
136#14582750C2211yescharacteristic, complemented
137#14582750C2211yescharacteristic, complemented
138#14582750C2211yescharacteristic, complemented
139#14582750C2211yescharacteristic, complemented
140C22⋊C4×Dic43C2211yescharacteristic
141C22⋊C4×Dic43C2211yescharacteristic
142C22⋊C4×Dic43C2211yescharacteristic
143C22⋊C4×Dic43C2211yescharacteristic
144C4×(C2×D43)⋊C4C2211yescharacteristic
145C4×(C2×D43)⋊C4C2211yescharacteristic
146C4×(C2×D43)⋊C4C2211yescharacteristic
147C4×(C2×D43)⋊C4C2211yescharacteristic
148C4×C22⋊Dic43C2211yescharacteristic
149C4×C22⋊Dic43C2211yescharacteristic
150#14582746C2211yescharacteristic
151#14582746C2211yescharacteristic
152#14582746C2211yescharacteristic
153#14582746C2211yescharacteristic
154#14582745C2211yescharacteristic, complemented
155#14582745C2211yescharacteristic, complemented
156#14582745C2211yescharacteristic, complemented
157#14582744C2211yescharacteristic, complemented
158#14582744C2211yescharacteristic, complemented
159#14582744C2211yescharacteristic, complemented
160#14582744C2211yescharacteristic, complemented
161#95×D43C2211yescharacteristic
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
173C2×#126×C43C2211yescharacteristic
174C43×#389C2211yescharacteristic, complemented
175C43×#388C2211yescharacteristic
176C43×#388C2211yescharacteristic
177C43×#388C2211yescharacteristic
178C43×#387C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic
182C4×C4⋊C4×C43C2211yescharacteristic, complemented
183C4×C4⋊C4×C43C2211yescharacteristic, complemented
184C4×C4⋊C4×C43C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C43×#376C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C23×Dic43C2311yescharacteristic
190C22×C4×D43—24no—
191C22×C4×D43—24no—
192C22×C4×D43—42no—
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
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063320C2×C418yescomplemented
210#13063320C2×C418yescomplemented
211#13063320C2×C418yescomplemented
212#13063319C2×C418yescomplemented
213#13063318C2×C418yescomplemented
214#13063318C2×C418yescomplemented
215#13063318C2×C418yescomplemented
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
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
240C4⋊C4×D43—24no—
241C4⋊C4×D43—24no—
242C4⋊C4×D43—24no—
243C4⋊C4×D43—24no—
244C4⋊C4×D43—42no—
245C4⋊C4×D43C2×C418yescomplemented
246C4⋊C4×D43C2×C418yescomplemented
247C4⋊C4×D43C2×C418yescomplemented
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C22⋊C4×D43—24no—
267C22⋊C4×D43—24no—
268C22⋊C4×D43—42no—
269C22⋊C4×D43C2×C418yes—
270C22⋊C4×D43C2×C418yes—
271C22⋊C4×D43C2×C418yes—
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C42×D43—24no—
297C42×D43—24no—
298C42×D43—24no—
299C42×D43—24no—
300C42×D43—42no—
301C42×D43—42no—
302C42×D43—42no—
303C42×D43C2×C418yescomplemented
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
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
340C23×C4×C43C2311yescharacteristic
341#126×C43C2×C418yescomplemented
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359C2×C42×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362C2×C42×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43C2411yescharacteristic
377C23×D43—22no—
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43C22×C414yes—
384C23×D43C2411yescharacteristic
385C23×D43C2411yescharacteristic
386C22×C4×C43—22no—
387C22×C4×C43—22no—
388C22×C4×C43—41no—
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
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×Dic43—22no—
404C22×Dic43—22no—
405C22×Dic43—41no—
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
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—41no—
457C2×C4×D43—41no—
458C2×C4×D43—416no—
459C2×C4×D43C22×C414yes—
460C2×C4×D43C22×C414yes—
461C2×C4×D43C22×C414yes—
462C2×C4×D43C22×C414yes—
463C2×C4×D43C22×C414yes—
464C2×C4×D43C22×C414yes—
465C2×C4×D43#4114yes—
466C2×C4×D43#4114yes—
467C2×C4×D43#4114yes—
468C2×C4×D43#4114yes—
469C4⋊C4×C43—22no—
470C4⋊C4×C43—22no—
471C4⋊C4×C43—22no—
472C4⋊C4×C43—22no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43C22×C414yescomplemented
475C4⋊C4×C43C22×C414yescomplemented
476C4⋊C4×C43C22×C414yescomplemented
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43C22×C414yes—
481C22⋊C4×C43C22×C414yes—
482C22⋊C4×C43C22×C414yes—
483C42×C43—22no—
484C42×C43—22no—
485C42×C43—22no—
486C42×C43—22no—
487C42×C43—41no—
488C42×C43—41no—
489C42×C43—41no—
490C42×C43C22×C414yescomplemented
491C22⋊Dic43—22no—
492C22⋊Dic43—22no—
493C22⋊Dic43—41no—
494C22⋊Dic43C22×C414yes—
495C22⋊Dic43C22×C414yes—
496C22⋊Dic43C22×C414yes—
497(C2×D43)⋊C4—22no—
498(C2×D43)⋊C4—22no—
499(C2×D43)⋊C4—22no—
500(C2×D43)⋊C4—22no—
501(C2×D43)⋊C4—41no—
502(C2×D43)⋊C4—41no—
503(C2×D43)⋊C4C22×C414yes—
504(C2×D43)⋊C4C22×C414yes—
505(C2×D43)⋊C4C22×C414yes—
506(C2×D43)⋊C4C22×C414yes—
507(C2×D43)⋊C4C22×C414yes—
508(C2×D43)⋊C4C22×C414yes—
509C4⋊Dic43—22no—
510C4⋊Dic43—22no—
511C4⋊Dic43—22no—
512C4⋊Dic43—22no—
513C4⋊Dic43—41no—
514C4⋊Dic43C22×C414yescomplemented
515C4⋊Dic43C22×C414yescomplemented
516C4⋊Dic43C22×C414yescomplemented
517Dic43⋊C4—22no—
518Dic43⋊C4—22no—
519Dic43⋊C4—22no—
520Dic43⋊C4—22no—
521Dic43⋊C4—22no—
522Dic43⋊C4—22no—
523Dic43⋊C4—22no—
524Dic43⋊C4—22no—
525Dic43⋊C4—41no—
526Dic43⋊C4—41no—
527Dic43⋊C4C22×C414yescomplemented
528Dic43⋊C4C22×C414yescomplemented
529Dic43⋊C4C22×C414yescomplemented
530Dic43⋊C4C22×C414yescomplemented
531Dic43⋊C4C22×C414yescomplemented
532Dic43⋊C4C22×C414yescomplemented
533C4×Dic43—22no—
534C4×Dic43—22no—
535C4×Dic43—22no—
536C4×Dic43—22no—
537C4×Dic43—22no—
538C4×Dic43—22no—
539C4×Dic43—22no—
540C4×Dic43—22no—
541C4×Dic43—22no—
542C4×Dic43—22no—
543C4×Dic43—22no—
544C4×Dic43—22no—
545C4×Dic43—41no—
546C4×Dic43—41no—
547C4×Dic43—41no—
548C4×Dic43—41no—
549C4×Dic43—41no—
550C4×Dic43—41no—
551C4×Dic43—41no—
552C4×Dic43—41no—
553C4×Dic43—41no—
554C4×Dic43C22×C414yescomplemented
555C4×Dic43C22×C414yescomplemented
556C4×Dic43C22×C414yescomplemented
557C23×C43—21no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43C23×C412yes—
564C23×C43C2511yescharacteristic
565C22×D43—21no—
566C22×D43—21no—
567C22×D43—21no—
568C22×D43—21no—
569C22×D43—21no—
570C22×D43—21no—
571C22×D43—28no—
572C22×D43—28no—
573C22×D43—28no—
574C22×D43—44no—
575C22×D43—44no—
576C22×D43—44no—
577C22×D43—44no—
578C22×D43C23×C412yes—
579C22×D43C23×C412yes—
580C22×D43C2×#4112yes—
581C22×D43C2×#4112yes—
582C22×D43C2×#4112yes—
583C22×D43C2×#4112yes—
584C22×D43H(5,𝔽2)12yes—
585C22×D432−1+412yes—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
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—44no—
619C2×C4×C43C23×C412yes—
620C2×C4×C43C23×C412yes—
621C2×C4×C43C23×C412yes—
622C2×C4×C43C23×C412yes—
623C2×C4×C43C23×C412yes—
624C2×C4×C43C23×C412yes—
625C2×C4×C43C2×#4112yes—
626C2×C4×C43C2×#4112yes—
627C2×C4×C43C2×#4112yes—
628C2×C4×C43C2×#4112yes—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
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—44no—
662C2×Dic43C23×C412yes—
663C2×Dic43C23×C412yes—
664C2×Dic43C23×C412yes—
665C2×Dic43C23×C412yes—
666C2×Dic43C23×C412yes—
667C2×Dic43C23×C412yes—
668C2×Dic43C2×#4112yes—
669C2×Dic43C2×#4112yes—
670C2×Dic43C2×#4112yes—
671C2×Dic43C2×#4112yes—
672C4×D43—28no—
673C4×D43—28no—
674C4×D43—28no—
675C4×D43—28no—
676C4×D43—28no—
677C4×D43—28no—
678C4×D43—28no—
679C4×D43—28no—
680C4×D43—28no—
681C4×D43—28no—
682C4×D43—44no—
683C4×D43—44no—
684C4×D43—44no—
685C4×D43—44no—
686C4×D43—44no—
687C4×D43—44no—
688C2×#2373—431nomaximal, Sylow
689C22×C43—22no—
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—41no—
693C22×C43—41no—
694C22×C43—41no—
695C22×C43—41no—
696C22×C43C24×C411yescharacteristic
697C22×C43C22×#4111yescharacteristic
698C22×C43C22×#4111yescharacteristic
699C22×C43C22×#4111yescharacteristic
700C22×C43C22×#4111yescharacteristic
701C22×C43C2×H(5,𝔽2)11yescharacteristic
702C22×C43C2×2−1+411yescharacteristic
703C2×D43—22no—
704C2×D43—22no—
705C2×D43—22no—
706C2×D43—41no—
707C2×D43—41no—
708C2×D43—41no—
709C2×D43—41no—
710C2×D43—416no—
711C2×D43C4×#4114yes—
712C2×D43C4×#4114yes—
713C2×D43#52014yes—
714C2×D43#55114yes—
715C2×D43#55214yes—
716C2×D43#55314yes—
717C2×D43#55614yes—
718C4×C43—22no—
719C4×C43—22no—
720C4×C43—22no—
721C4×C43—22no—
722C4×C43—22no—
723C4×C43—22no—
724C4×C43—22no—
725C4×C43—22no—
726C4×C43—22no—
727C4×C43—22no—
728C4×C43—41no—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732Dic43—22no—
733Dic43—22no—
734Dic43—22no—
735Dic43—22no—
736Dic43—22no—
737Dic43—22no—
738Dic43—22no—
739Dic43—22no—
740Dic43—22no—
741Dic43—22no—
742Dic43—41no—
743Dic43—41no—
744Dic43—41no—
745Dic43—41no—
746C22×#126—431no—
747#2373—431no—
748#2373—431no—
749#2373—431no—
750#2373—431no—
751#2373—431no—
752#2373—431no—
753#2373—431no—
754#2373—431no—
755#2373—431no—
756#2373—431no—
757#2373—431no—
758#2373—431no—
759#2373—431no—
760#2373—431no—
761#2373—431no—
762#2373D4311yescharacteristic, direct product factor
763C2×#389—431no—
764C2×#388—431no—
765C2×#388—431no—
766C2×#388—431no—
767C2×#387—431no—
768C2×#387—431no—
769C2×#387—431no—
770C2×#385—431no—
771C2×C4×C4⋊C4—431no—
772C2×C4×C4⋊C4—431no—
773C2×C4×C4⋊C4—431no—
774C2×C4×C22⋊C4—431no—
775C2×C4×C22⋊C4—431no—
776C2×#376—431no—
777C2×C43—42no—
778C2×C43C2×C4×#4111yescharacteristic
779C2×C43C2×C4×#4111yescharacteristic
780C2×C43C2×#52011yescharacteristic
781C2×C43C2×#55111yescharacteristic
782C2×C43C2×#55211yescharacteristic
783C2×C43C2×#55311yescharacteristic
784C2×C43C2×#55611yescharacteristic
785D43—42no—
786D43#237318yesdirect product factor
787C24×C4—431no—
788C2×#126—4316no—
789C2×#126—431no—
790C2×#126—431no—
791C2×#126—431no—
792C2×#126—431no—
793C2×#126—431no—
794C2×#126—431no—
795C2×#126—431no—
796C2×#126C2×D4311yescharacteristic
797C22×C4⋊C4—431no—
798C22×C4⋊C4—431no—
799C22×C4⋊C4—431no—
800C22×C4⋊C4—431no—
801C22×C4⋊C4—431no—
802C22×C4⋊C4—431no—
803C22×C4⋊C4—431no—
804C22×C4⋊C4—431no—
805C22×C22⋊C4—431no—
806C22×C22⋊C4—431no—
807C22×C22⋊C4—431no—
808C22×C22⋊C4—431no—
809C22×C22⋊C4—431no—
810C22×C22⋊C4—431no—
811C22×C42—431no—
812C22×C42—431no—
813C22×C42—431no—
814C22×C42—431no—
815C22×C42—431no—
816C22×C42—431no—
817C22×C42—431no—
818C22×C42—431no—
819#389—431no—
820#389—431no—
821#389—431no—
822#389—431no—
823#389—431no—
824#389—431no—
825#389—431no—
826#389C2×D4311yescharacteristic, complemented
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388—431no—
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#388—431no—
844#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388C2×D4311yescharacteristic
849#388C2×D4311yescharacteristic
850#388C2×D4311yescharacteristic
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387C2×D4311yescharacteristic, complemented
873#387C2×D4311yescharacteristic, complemented
874#387C2×D4311yescharacteristic, complemented
875#385—431no—
876#385—431no—
877#385—431no—
878#385—431no—
879#385—431no—
880#385—431no—
881#385—431no—
882#385C2×D4311yescharacteristic
883C4×C4⋊C4—431no—
884C4×C4⋊C4—431no—
885C4×C4⋊C4—431no—
886C4×C4⋊C4—431no—
887C4×C4⋊C4—431no—
888C4×C4⋊C4—431no—
889C4×C4⋊C4—431no—
890C4×C4⋊C4—431no—
891C4×C4⋊C4—431no—
892C4×C4⋊C4—431no—
893C4×C4⋊C4—431no—
894C4×C4⋊C4—431no—
895C4×C4⋊C4—431no—
896C4×C4⋊C4—431no—
897C4×C4⋊C4—431no—
898C4×C4⋊C4—431no—
899C4×C4⋊C4—431no—
900C4×C4⋊C4—431no—
901C4×C4⋊C4—431no—
902C4×C4⋊C4—431no—
903C4×C4⋊C4—431no—
904C4×C4⋊C4C2×D4311yescharacteristic, complemented
905C4×C4⋊C4C2×D4311yescharacteristic, complemented
906C4×C4⋊C4C2×D4311yescharacteristic, complemented
907C4×C22⋊C4—431no—
908C4×C22⋊C4—431no—
909C4×C22⋊C4—431no—
910C4×C22⋊C4—431no—
911C4×C22⋊C4—431no—
912C4×C22⋊C4—431no—
913C4×C22⋊C4—431no—
914C4×C22⋊C4—431no—
915C4×C22⋊C4—431no—
916C4×C22⋊C4—431no—
917C4×C22⋊C4—431no—
918C4×C22⋊C4—431no—
919C4×C22⋊C4—431no—
920C4×C22⋊C4—431no—
921C4×C22⋊C4C2×D4311yescharacteristic
922C4×C22⋊C4C2×D4311yescharacteristic
923#376—431no—
924#376—431no—
925#376—431no—
926#376—431no—
927#376—431no—
928#376—431no—
929#376—431no—
930#376C2×D4311yescharacteristic, complemented
931C2×#95—431no—
932C2×#95—431no—
933C2×#95—431no—
934C2×#95—431no—
935C2×#95—431no—
936C2×#95—431no—
937C2×#95—431no—
938C2×#95—431no—
939C2×#95—431no—
940C2×#95—431no—
941C2×#95—431no—
942C2×#95—431no—
943C43C2×#237311yescharacteristic, complemented, Sylow
944C25—431no—
945C23×C4—431no—
946C23×C4—431no—
947C23×C4—431no—
948C23×C4—431no—
949C23×C4—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—864no—
963C23×C4—864no—
964C23×C4—1722no—
965C23×C4C22×D4311yescharacteristic
966#126—438no—
967#126—438no—
968#126—438no—
969#126—438no—
970#126—438no—
971#126—438no—
972#126—438no—
973#126C4×D4318yescomplemented
974C2×C4⋊C4—431no—
975C2×C4⋊C4—431no—
976C2×C4⋊C4—431no—
977C2×C4⋊C4—431no—
978C2×C4⋊C4—431no—
979C2×C4⋊C4—431no—
980C2×C4⋊C4—431no—
981C2×C4⋊C4—431no—
982C2×C4⋊C4—431no—
983C2×C4⋊C4—438no—
984C2×C4⋊C4—438no—
985C2×C4⋊C4—438no—
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—864no—
1002C2×C4⋊C4—864no—
1003C2×C4⋊C4—864no—
1004C2×C4⋊C4—864no—
1005C2×C4⋊C4—1722no—
1006C2×C4⋊C4C22×D4311yescharacteristic
1007C2×C4⋊C4C22×D4311yescharacteristic
1008C2×C4⋊C4C22×D4311yescharacteristic
1009C2×C4⋊C4C22×D4311yescharacteristic
1010C2×C4⋊C4C22×D4311yescharacteristic
1011C2×C4⋊C4C22×D4311yescharacteristic
1012C2×C4⋊C4C22×D4311yescharacteristic
1013C2×C4⋊C4C22×D4311yescharacteristic
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C22⋊C4—431no—
1017C2×C22⋊C4—431no—
1018C2×C22⋊C4—431no—
1019C2×C22⋊C4—431no—
1020C2×C22⋊C4—431no—
1021C2×C22⋊C4—431no—
1022C2×C22⋊C4—431no—
1023C2×C22⋊C4—438no—
1024C2×C22⋊C4—438no—
1025C2×C22⋊C4—438no—
1026C2×C22⋊C4—431no—
1027C2×C22⋊C4—431no—
1028C2×C22⋊C4—431no—
1029C2×C22⋊C4—431no—
1030C2×C22⋊C4—431no—
1031C2×C22⋊C4—431no—
1032C2×C22⋊C4—431no—
1033C2×C22⋊C4—431no—
1034C2×C22⋊C4—431no—
1035C2×C22⋊C4—864no—
1036C2×C22⋊C4—864no—
1037C2×C22⋊C4—1722no—
1038C2×C22⋊C4C22×D4311yescharacteristic
1039C2×C22⋊C4C22×D4311yescharacteristic
1040C2×C22⋊C4C22×D4311yescharacteristic
1041C2×C22⋊C4C22×D4311yescharacteristic
1042C2×C22⋊C4C22×D4311yescharacteristic
1043C2×C22⋊C4C22×D4311yescharacteristic
1044C2×C42—431no—
1045C2×C42—431no—
1046C2×C42—431no—
1047C2×C42—438no—
1048C2×C42—431no—
1049C2×C42—431no—
1050C2×C42—431no—
1051C2×C42—431no—
1052C2×C42—431no—
1053C2×C42—431no—
1054C2×C42—431no—
1055C2×C42—431no—
1056C2×C42—431no—
1057C2×C42—431no—
1058C2×C42—431no—
1059C2×C42—431no—
1060C2×C42—431no—
1061C2×C42—431no—
1062C2×C42—431no—
1063C2×C42—431no—
1064C2×C42—431no—
1065C2×C42—431no—
1066C2×C42—431no—
1067C2×C42—431no—
1068C2×C42—431no—
1069C2×C42—864no—
1070C2×C42—864no—
1071C2×C42—864no—
1072C2×C42—864no—
1073C2×C42—1722no—
1074C2×C42—1722no—
1075C2×C42—1722no—
1076C2×C42C22×D4311yescharacteristic
1077C2×C42C22×D4311yescharacteristic
1078C2×C42C22×D4311yescharacteristic
1079C2×C42C22×D4311yescharacteristic
1080C2×C42C22×D4311yescharacteristic
1081C2×C42C22×D4311yescharacteristic
1082C2×C42C22×D4311yescharacteristic
1083C2×C42C22×D4311yescharacteristic
1084#95—431no—
1085#95—431no—
1086#95—431no—
1087#95—431no—
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95—431no—
1098#95—431no—
1099#95—431no—
1100#95—431no—
1101#95—431no—
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#95C22×D4311yescharacteristic
1121#95C22×D4311yescharacteristic
1122#95C22×D4311yescharacteristic
1123#95C22×D4311yescharacteristic
1124#95C22×D4311yescharacteristic
1125#95C22×D4311yescharacteristic
1126#95C22×D4311yescharacteristic
1127#95C22×D4311yescharacteristic
1128#95C22×D4311yescharacteristic
1129#95C22×D4311yescharacteristic
1130#95C22×D4311yescharacteristic
1131#95C22×D4311yescharacteristic
1132C24—431no—
1133C24—434no—
1134C24—431no—
1135C24—862no—
1136C24—862no—
1137C24—862no—
1138C24—862no—
1139C24—862no—
1140C24—862no—
1141C24C23×D4311yescharacteristic
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—41no—
1145C22×C4—431no—
1146C22×C4—431no—
1147C22×C4—431no—
1148C22×C4—431no—
1149C22×C4—431no—
1150C22×C4—431no—
1151C22×C4—431no—
1152C22×C4—431no—
1153C22×C4—431no—
1154C22×C4—431no—
1155C22×C4—434no—
1156C22×C4—434no—
1157C22×C4—434no—
1158C22×C4—434no—
1159C22×C4—434no—
1160C22×C4—434no—
1161C22×C4—434no—
1162C22×C4—434no—
1163C22×C4—434no—
1164C22×C4—434no—
1165C22×C4—431no—
1166C22×C4—431no—
1167C22×C4—431no—
1168C22×C4—431no—
1169C22×C4—862no—
1170C22×C4—862no—
1171C22×C4—862no—
1172C22×C4—862no—
1173C22×C4—862no—
1174C22×C4—862no—
1175C22×C4—862no—
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—1721no—
1208C22×C4—1721no—
1209C22×C4—17216no—
1210C22×C4—1721no—
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—41no—
1230C4⋊C4—434no—
1231C4⋊C4—434no—
1232C4⋊C4—434no—
1233C4⋊C4—434no—
1234C4⋊C4—434no—
1235C4⋊C4—434no—
1236C4⋊C4—434no—
1237C4⋊C4—434no—
1238C4⋊C4—434no—
1239C4⋊C4—862no—
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—1721no—
1252C4⋊C4—1721no—
1253C4⋊C4—1721no—
1254C4⋊C4C2×C4×D4314yescomplemented
1255C4⋊C4C2×C4×D4314yescomplemented
1256C4⋊C4C2×C4×D4314yescomplemented
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—41no—
1260C22⋊C4—434no—
1261C22⋊C4—434no—
1262C22⋊C4—434no—
1263C22⋊C4—434no—
1264C22⋊C4—434no—
1265C22⋊C4—434no—
1266C22⋊C4—434no—
1267C22⋊C4—434no—
1268C22⋊C4—434no—
1269C22⋊C4—862no—
1270C22⋊C4—862no—
1271C22⋊C4—862no—
1272C22⋊C4—862no—
1273C22⋊C4—862no—
1274C22⋊C4—862no—
1275C22⋊C4—1721no—
1276C22⋊C4—1721no—
1277C22⋊C4—1721no—
1278C22⋊C4C2×C4×D4314yes—
1279C22⋊C4C2×C4×D4314yes—
1280C22⋊C4C2×C4×D4314yes—
1281C42—22no—
1282C42—22no—
1283C42—22no—
1284C42—22no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—434no—
1289C42—434no—
1290C42—434no—
1291C42—862no—
1292C42—862no—
1293C42—862no—
1294C42—862no—
1295C42—862no—
1296C42—862no—
1297C42—862no—
1298C42—862no—
1299C42—862no—
1300C42—862no—
1301C42—862no—
1302C42—862no—
1303C42—1721no—
1304C42—1721no—
1305C42—1721no—
1306C42—1721no—
1307C42—1721no—
1308C42—1721no—
1309C42—1721no—
1310C42—1721no—
1311C42—1721no—
1312C42C2×C4×D4314yescomplemented
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—432no—
1320C23—432no—
1321C23—432no—
1322C23—432no—
1323C23—432no—
1324C23—432no—
1325C23—432no—
1326C23—432no—
1327C23—868no—
1328C23—868no—
1329C23—868no—
1330C23—861no—
1331C23—861no—
1332C23—861no—
1333C23—861no—
1334C23—861no—
1335C23—861no—
1336C23—1724no—
1337C23—1724no—
1338C23—1724no—
1339C23—1724no—
1340C23C22×C4×D4312yes—
1341C23C24×D4311yescharacteristic
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
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—44no—
1375C2×C4—432no—
1376C2×C4—432no—
1377C2×C4—432no—
1378C2×C4—432no—
1379C2×C4—432no—
1380C2×C4—432no—
1381C2×C4—432no—
1382C2×C4—432no—
1383C2×C4—432no—
1384C2×C4—432no—
1385C2×C4—868no—
1386C2×C4—868no—
1387C2×C4—868no—
1388C2×C4—868no—
1389C2×C4—868no—
1390C2×C4—868no—
1391C2×C4—868no—
1392C2×C4—868no—
1393C2×C4—868no—
1394C2×C4—868no—
1395C2×C4—861no—
1396C2×C4—861no—
1397C2×C4—861no—
1398C2×C4—861no—
1399C2×C4—861no—
1400C2×C4—861no—
1401C2×C4—861no—
1402C2×C4—861no—
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—1724no—
1428C2×C4—1724no—
1429C2×C4—1724no—
1430C2×C4—1724no—
1431C2×C4—1724no—
1432C2×C4—1724no—
1433C2×C4—1724no—
1434C2×C4C22×C4×D4312yes—
1435C2×C4C22×C4×D4312yes—
1436C2×C4C22×C4×D4312yes—
1437C2×C4C22×C4×D4312yes—
1438C2×C4C22×C4×D4312yes—
1439C2×C4C22×C4×D4312yes—
1440C2×C4#41×D4312yes—
1441C2×C4#41×D4312yes—
1442C2×C4#41×D4312yes—
1443C2×C4#41×D4312yes—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—434no—
1452C22—434no—
1453C22—434no—
1454C22—434no—
1455C22—434no—
1456C22—434no—
1457C22—434no—
1458C22—862no—
1459C22—862no—
1460C22—862no—
1461C22—17216no—
1462C22—1721no—
1463C22—1721no—
1464C22—1721no—
1465C22—1721no—
1466C22C23×C4×D4311yescharacteristic
1467C22C2×#41×D4311yescharacteristic
1468C22C2×#41×D4311yescharacteristic
1469C22C2×#41×D4311yescharacteristic
1470C22C2×#41×D4311yescharacteristic
1471C22H(5,𝔽2)×D4311yescharacteristic
1472C222−1+4×D4311yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—862no—
1488C4—862no—
1489C4—862no—
1490C4—862no—
1491C4—862no—
1492C4—862no—
1493C4—862no—
1494C4—862no—
1495C4—862no—
1496C4—862no—
1497C4—1721no—
1498C4—1721no—
1499C4—1721no—
1500C4—1721no—
1501C2—42no—
1502C2—438no—
1503C2—1722no—
1504C2C4×#41×D4311yescharacteristic
1505C2C4×#41×D4311yescharacteristic
1506C2#520×D4311yescharacteristic
1507C2#551×D4311yescharacteristic
1508C2#552×D4311yescharacteristic
1509C2#553×D4311yescharacteristic
1510C2#556×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2373C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenter#2373D43
hypocenterC43C2×#2373
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #19137722C2semidirect
3. #19137721C2semidirect
4. #19137720C2semidirect
5. #19137719C2semidirect
6. #19137718C2semidirect
7. #19137717C2semidirect
8. #19137716C2semidirect
9. #19137715C2semidirect
10. #19137714C2semidirect
11. #19137713C2semidirect
12. #19137712C2semidirect
13. #19137711C2semidirect
14. #19137710C2semidirect
15. #19137709C2semidirect
16. #19137708C2semidirect
17. #389×D43C2semidirect
21. #387×D43C2semidirect
22. #387×D43C2semidirect
23. #387×D43C2semidirect
25. C4×C4⋊C4×D43C2semidirect
26. C4×C4⋊C4×D43C2semidirect
27. C4×C4⋊C4×D43C2semidirect
30. #376×D43C2semidirect
31. C43×#2373C2semidirect
40. #126×D43C4semidirect
63. #14582798C22semidirect
64. #14582797C22semidirect
65. #14582796C22semidirect
66. #14582796C22semidirect
67. #14582795C22semidirect
68. #14582794C22semidirect
69. #14582794C22semidirect
91. #14582786C22semidirect
92. #14582786C22semidirect
93. #14582786C22semidirect
94. #14582785C22semidirect
95. #14582785C22semidirect
96. #14582785C22semidirect
97. #14582784C22semidirect
98. #14582784C22semidirect
99. #14582784C22semidirect
100. #14582783C22semidirect
101. #14582783C22semidirect
102. #14582783C22semidirect
103. #14582782C22semidirect
104. #14582782C22semidirect
105. #14582782C22semidirect
106. #14582781C22semidirect
107. #14582781C22semidirect
108. #14582781C22semidirect
109. #14582780C22semidirect
110. #14582780C22semidirect
111. #14582780C22semidirect
119. C4⋊C4×Dic43C22semidirect
120. C4⋊C4×Dic43C22semidirect
121. C4⋊C4×Dic43C22semidirect
122. C4⋊C4×Dic43C22semidirect
123. C4⋊C4×Dic43C22semidirect
124. C4⋊C4×Dic43C22semidirect
125. C4×Dic43⋊C4C22semidirect
126. C4×Dic43⋊C4C22semidirect
127. C4×Dic43⋊C4C22semidirect
128. C4×Dic43⋊C4C22semidirect
129. C4×Dic43⋊C4C22semidirect
130. C4×Dic43⋊C4C22semidirect
131. C4×C4⋊Dic43C22semidirect
132. C4×C4⋊Dic43C22semidirect
133. C4×C4⋊Dic43C22semidirect
134. #14582750C22semidirect
135. #14582750C22semidirect
136. #14582750C22semidirect
137. #14582750C22semidirect
138. #14582750C22semidirect
139. #14582750C22semidirect
154. #14582745C22semidirect
155. #14582745C22semidirect
156. #14582745C22semidirect
157. #14582744C22semidirect
158. #14582744C22semidirect
159. #14582744C22semidirect
160. #14582744C22semidirect
174. C43×#389C22semidirect
178. C43×#387C22semidirect
179. C43×#387C22semidirect
180. C43×#387C22semidirect
182. C4×C4⋊C4×C43C22semidirect
183. C4×C4⋊C4×C43C22semidirect
184. C4×C4⋊C4×C43C22semidirect
187. C43×#376C22semidirect
209. #13063320C2×C4semidirect
210. #13063320C2×C4semidirect
211. #13063320C2×C4semidirect
212. #13063319C2×C4semidirect
213. #13063318C2×C4semidirect
214. #13063318C2×C4semidirect
215. #13063318C2×C4semidirect
245. C4⋊C4×D43C2×C4semidirect
246. C4⋊C4×D43C2×C4semidirect
247. C4⋊C4×D43C2×C4semidirect
303. C42×D43C2×C4semidirect
341. #126×C43C2×C4semidirect
474. C4⋊C4×C43C22×C4semidirect
475. C4⋊C4×C43C22×C4semidirect
476. C4⋊C4×C43C22×C4semidirect
490. C42×C43C22×C4semidirect
514. C4⋊Dic43C22×C4semidirect
515. C4⋊Dic43C22×C4semidirect
516. C4⋊Dic43C22×C4semidirect
527. Dic43⋊C4C22×C4semidirect
528. Dic43⋊C4C22×C4semidirect
529. Dic43⋊C4C22×C4semidirect
530. Dic43⋊C4C22×C4semidirect
531. Dic43⋊C4C22×C4semidirect
532. Dic43⋊C4C22×C4semidirect
554. C4×Dic43C22×C4semidirect
555. C4×Dic43C22×C4semidirect
556. C4×Dic43C22×C4semidirect
762. #2373D43direct (N × H)
786. D43#2373direct (N × H)
826. #389C2×D43semidirect
872. #387C2×D43semidirect
873. #387C2×D43semidirect
874. #387C2×D43semidirect
904. C4×C4⋊C4C2×D43semidirect
905. C4×C4⋊C4C2×D43semidirect
906. C4×C4⋊C4C2×D43semidirect
930. #376C2×D43semidirect
943. C43C2×#2373semidirect
973. #126C4×D43semidirect
1254. C4⋊C4C2×C4×D43semidirect
1255. C4⋊C4C2×C4×D43semidirect
1256. C4⋊C4C2×C4×D43semidirect
1312. C42C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D432
#191377222
#191377212
#191377202
#191377192
#191377182
#191377172
#191377162
#191377152
#191377142
#191377132
#191377122
#191377112
#191377102
#191377092
#191377082
#389×D432
#388×D432
#387×D432
#385×D432
C4×C4⋊C4×D432
C4×C22⋊C4×D432
#376×D432
C43×#23732
C2×#237343