Finite Group Databasebeta

← D47×#2373 #26375958

Subgroups — D47×#2373 #26375958

Order 12032.

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×D47C211yesmaximal, characteristic
2#20246515C211yesmaximal, characteristic, complemented
3#20246514C211yesmaximal, characteristic, complemented
4#20246513C211yesmaximal, characteristic, complemented
5#20246512C211yesmaximal, characteristic, complemented
6#20246511C211yesmaximal, characteristic, complemented
7#20246510C211yesmaximal, characteristic, complemented
8#20246509C211yesmaximal, characteristic, complemented
9#20246508C211yesmaximal, characteristic, complemented
10#20246507C211yesmaximal, characteristic, complemented
11#20246506C211yesmaximal, characteristic, complemented
12#20246505C211yesmaximal, characteristic, complemented
13#20246504C211yesmaximal, characteristic, complemented
14#20246503C211yesmaximal, characteristic, complemented
15#20246502C211yesmaximal, characteristic, complemented
16#20246501C211yesmaximal, characteristic, complemented
17#389×D47C211yesmaximal, characteristic, complemented
18#388×D47C211yesmaximal, characteristic
19#388×D47C211yesmaximal, characteristic
20#388×D47C211yesmaximal, characteristic
21#387×D47C211yesmaximal, characteristic, complemented
22#387×D47C211yesmaximal, characteristic, complemented
23#387×D47C211yesmaximal, characteristic, complemented
24#385×D47C211yesmaximal, characteristic
25C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
26C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
27C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
28C4×C22⋊C4×D47C211yesmaximal, characteristic
29C4×C22⋊C4×D47C211yesmaximal, characteristic
30#376×D47C211yesmaximal, characteristic, complemented
31C47×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094018C2211yescharacteristic
37C2×#13094017C2211yescharacteristic
38C2×#13094017C2211yescharacteristic
39C2×#13094017C2211yescharacteristic
40#126×D47C4116yescomplemented
41C2×C4⋊C4×D47C2211yescharacteristic
42C2×C4⋊C4×D47C2211yescharacteristic
43C2×C4⋊C4×D47C2211yescharacteristic
44C2×C4⋊C4×D47C2211yescharacteristic
45C2×C4⋊C4×D47C2211yescharacteristic
46C2×C4⋊C4×D47C2211yescharacteristic
47C2×C4⋊C4×D47C2211yescharacteristic
48C2×C4⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C2×C42×D47C2211yescharacteristic
56C2×C42×D47C2211yescharacteristic
57C2×C42×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic
59C2×C42×D47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63#15689022C2211yescharacteristic, complemented
64#15689021C2211yescharacteristic, complemented
65#15689020C2211yescharacteristic, complemented
66#15689020C2211yescharacteristic, complemented
67#15689019C2211yescharacteristic, complemented
68#15689018C2211yescharacteristic, complemented
69#15689018C2211yescharacteristic, complemented
70#15689017C2211yescharacteristic
71#15689017C2211yescharacteristic
72#15689017C2211yescharacteristic
73#15689016C2211yescharacteristic
74#15689016C2211yescharacteristic
75#15689016C2211yescharacteristic
76#15689015C2211yescharacteristic
77#15689015C2211yescharacteristic
78#15689015C2211yescharacteristic
79#15689014C2211yescharacteristic
80#15689014C2211yescharacteristic
81#15689014C2211yescharacteristic
82#15689013C2211yescharacteristic
83#15689013C2211yescharacteristic
84#15689013C2211yescharacteristic
85#15689012C2211yescharacteristic
86#15689012C2211yescharacteristic
87#15689012C2211yescharacteristic
88#15689011C2211yescharacteristic
89#15689011C2211yescharacteristic
90#15689011C2211yescharacteristic
91#15689010C2211yescharacteristic, complemented
92#15689010C2211yescharacteristic, complemented
93#15689010C2211yescharacteristic, complemented
94#15689009C2211yescharacteristic, complemented
95#15689009C2211yescharacteristic, complemented
96#15689009C2211yescharacteristic, complemented
97#15689008C2211yescharacteristic, complemented
98#15689008C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689007C2211yescharacteristic, complemented
101#15689007C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689006C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689006C2211yescharacteristic, complemented
106#15689005C2211yescharacteristic, complemented
107#15689005C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689004C2211yescharacteristic, complemented
112#15688998C2211yescharacteristic
113#15688997C2211yescharacteristic
114#15688997C2211yescharacteristic
115#15688996C2211yescharacteristic
116#15688995C2211yescharacteristic
117#15688994C2211yescharacteristic
118#15688994C2211yescharacteristic
119C4⋊C4×Dic47C2211yescharacteristic, complemented
120C4⋊C4×Dic47C2211yescharacteristic, complemented
121C4⋊C4×Dic47C2211yescharacteristic, complemented
122C4⋊C4×Dic47C2211yescharacteristic, complemented
123C4⋊C4×Dic47C2211yescharacteristic, complemented
124C4⋊C4×Dic47C2211yescharacteristic, complemented
125C4×Dic47⋊C4C2211yescharacteristic, complemented
126C4×Dic47⋊C4C2211yescharacteristic, complemented
127C4×Dic47⋊C4C2211yescharacteristic, complemented
128C4×Dic47⋊C4C2211yescharacteristic, complemented
129C4×Dic47⋊C4C2211yescharacteristic, complemented
130C4×Dic47⋊C4C2211yescharacteristic, complemented
131C4×C4⋊Dic47C2211yescharacteristic, complemented
132C4×C4⋊Dic47C2211yescharacteristic, complemented
133C4×C4⋊Dic47C2211yescharacteristic, complemented
134#15688974C2211yescharacteristic, complemented
135#15688974C2211yescharacteristic, complemented
136#15688974C2211yescharacteristic, complemented
137#15688974C2211yescharacteristic, complemented
138#15688974C2211yescharacteristic, complemented
139#15688974C2211yescharacteristic, complemented
140C22⋊C4×Dic47C2211yescharacteristic
141C22⋊C4×Dic47C2211yescharacteristic
142C22⋊C4×Dic47C2211yescharacteristic
143C22⋊C4×Dic47C2211yescharacteristic
144C4×(C2×D47)⋊C4C2211yescharacteristic
145C4×(C2×D47)⋊C4C2211yescharacteristic
146C4×(C2×D47)⋊C4C2211yescharacteristic
147C4×(C2×D47)⋊C4C2211yescharacteristic
148C4×C22⋊Dic47C2211yescharacteristic
149C4×C22⋊Dic47C2211yescharacteristic
150#15688970C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688969C2211yescharacteristic, complemented
155#15688969C2211yescharacteristic, complemented
156#15688969C2211yescharacteristic, complemented
157#15688968C2211yescharacteristic, complemented
158#15688968C2211yescharacteristic, complemented
159#15688968C2211yescharacteristic, complemented
160#15688968C2211yescharacteristic, complemented
161#95×D47C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173C2×#126×C47C2211yescharacteristic
174C47×#389C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C47×#376C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C22×C4×D47—24no—
191C22×C4×D47—24no—
192C22×C4×D47—42no—
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019C2×C418yescomplemented
210#13094019C2×C418yescomplemented
211#13094019C2×C418yescomplemented
212#13094018C2×C418yescomplemented
213#13094017C2×C418yescomplemented
214#13094017C2×C418yescomplemented
215#13094017C2×C418yescomplemented
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C4⋊C4×D47—24no—
241C4⋊C4×D47—24no—
242C4⋊C4×D47—24no—
243C4⋊C4×D47—24no—
244C4⋊C4×D47—42no—
245C4⋊C4×D47C2×C418yescomplemented
246C4⋊C4×D47C2×C418yescomplemented
247C4⋊C4×D47C2×C418yescomplemented
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C22⋊C4×D47—24no—
267C22⋊C4×D47—24no—
268C22⋊C4×D47—42no—
269C22⋊C4×D47C2×C418yes—
270C22⋊C4×D47C2×C418yes—
271C22⋊C4×D47C2×C418yes—
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C42×D47—24no—
297C42×D47—24no—
298C42×D47—24no—
299C42×D47—24no—
300C42×D47—42no—
301C42×D47—42no—
302C42×D47—42no—
303C42×D47C2×C418yescomplemented
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341#126×C47C2×C418yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C22×C4×C47—22no—
387C22×C4×C47—22no—
388C22×C4×C47—41no—
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×Dic47—22no—
404C22×Dic47—22no—
405C22×Dic47—41no—
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C2×C4×D47—22no—
421C2×C4×D47—22no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×C4×D47—22no—
426C2×C4×D47—22no—
427C2×C4×D47—22no—
428C2×C4×D47—22no—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—416no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47C22×C414yes—
460C2×C4×D47C22×C414yes—
461C2×C4×D47C22×C414yes—
462C2×C4×D47C22×C414yes—
463C2×C4×D47C22×C414yes—
464C2×C4×D47C22×C414yes—
465C2×C4×D47#4114yes—
466C2×C4×D47#4114yes—
467C2×C4×D47#4114yes—
468C2×C4×D47#4114yes—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—22no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47C22×C414yescomplemented
475C4⋊C4×C47C22×C414yescomplemented
476C4⋊C4×C47C22×C414yescomplemented
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47C22×C414yes—
481C22⋊C4×C47C22×C414yes—
482C22⋊C4×C47C22×C414yes—
483C42×C47—22no—
484C42×C47—22no—
485C42×C47—22no—
486C42×C47—22no—
487C42×C47—41no—
488C42×C47—41no—
489C42×C47—41no—
490C42×C47C22×C414yescomplemented
491C22⋊Dic47—22no—
492C22⋊Dic47—22no—
493C22⋊Dic47—41no—
494C22⋊Dic47C22×C414yes—
495C22⋊Dic47C22×C414yes—
496C22⋊Dic47C22×C414yes—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—41no—
502(C2×D47)⋊C4—41no—
503(C2×D47)⋊C4C22×C414yes—
504(C2×D47)⋊C4C22×C414yes—
505(C2×D47)⋊C4C22×C414yes—
506(C2×D47)⋊C4C22×C414yes—
507(C2×D47)⋊C4C22×C414yes—
508(C2×D47)⋊C4C22×C414yes—
509C4⋊Dic47—22no—
510C4⋊Dic47—22no—
511C4⋊Dic47—22no—
512C4⋊Dic47—22no—
513C4⋊Dic47—41no—
514C4⋊Dic47C22×C414yescomplemented
515C4⋊Dic47C22×C414yescomplemented
516C4⋊Dic47C22×C414yescomplemented
517Dic47⋊C4—22no—
518Dic47⋊C4—22no—
519Dic47⋊C4—22no—
520Dic47⋊C4—22no—
521Dic47⋊C4—22no—
522Dic47⋊C4—22no—
523Dic47⋊C4—22no—
524Dic47⋊C4—22no—
525Dic47⋊C4—41no—
526Dic47⋊C4—41no—
527Dic47⋊C4C22×C414yescomplemented
528Dic47⋊C4C22×C414yescomplemented
529Dic47⋊C4C22×C414yescomplemented
530Dic47⋊C4C22×C414yescomplemented
531Dic47⋊C4C22×C414yescomplemented
532Dic47⋊C4C22×C414yescomplemented
533C4×Dic47—22no—
534C4×Dic47—22no—
535C4×Dic47—22no—
536C4×Dic47—22no—
537C4×Dic47—22no—
538C4×Dic47—22no—
539C4×Dic47—22no—
540C4×Dic47—22no—
541C4×Dic47—22no—
542C4×Dic47—22no—
543C4×Dic47—22no—
544C4×Dic47—22no—
545C4×Dic47—41no—
546C4×Dic47—41no—
547C4×Dic47—41no—
548C4×Dic47—41no—
549C4×Dic47—41no—
550C4×Dic47—41no—
551C4×Dic47—41no—
552C4×Dic47—41no—
553C4×Dic47—41no—
554C4×Dic47C22×C414yescomplemented
555C4×Dic47C22×C414yescomplemented
556C4×Dic47C22×C414yescomplemented
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47C23×C412yes—
564C23×C47C2511yescharacteristic
565C22×D47—21no—
566C22×D47—21no—
567C22×D47—21no—
568C22×D47—21no—
569C22×D47—21no—
570C22×D47—21no—
571C22×D47—28no—
572C22×D47—28no—
573C22×D47—28no—
574C22×D47—44no—
575C22×D47—44no—
576C22×D47—44no—
577C22×D47—44no—
578C22×D47C23×C412yes—
579C22×D47C23×C412yes—
580C22×D47C2×#4112yes—
581C22×D47C2×#4112yes—
582C22×D47C2×#4112yes—
583C22×D47C2×#4112yes—
584C22×D47H(5,𝔽2)12yes—
585C22×D472−1+412yes—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—44no—
619C2×C4×C47C23×C412yes—
620C2×C4×C47C23×C412yes—
621C2×C4×C47C23×C412yes—
622C2×C4×C47C23×C412yes—
623C2×C4×C47C23×C412yes—
624C2×C4×C47C23×C412yes—
625C2×C4×C47C2×#4112yes—
626C2×C4×C47C2×#4112yes—
627C2×C4×C47C2×#4112yes—
628C2×C4×C47C2×#4112yes—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—44no—
662C2×Dic47C23×C412yes—
663C2×Dic47C23×C412yes—
664C2×Dic47C23×C412yes—
665C2×Dic47C23×C412yes—
666C2×Dic47C23×C412yes—
667C2×Dic47C23×C412yes—
668C2×Dic47C2×#4112yes—
669C2×Dic47C2×#4112yes—
670C2×Dic47C2×#4112yes—
671C2×Dic47C2×#4112yes—
672C4×D47—28no—
673C4×D47—28no—
674C4×D47—28no—
675C4×D47—28no—
676C4×D47—28no—
677C4×D47—28no—
678C4×D47—28no—
679C4×D47—28no—
680C4×D47—28no—
681C4×D47—28no—
682C4×D47—44no—
683C4×D47—44no—
684C4×D47—44no—
685C4×D47—44no—
686C4×D47—44no—
687C4×D47—44no—
688C2×#2373—471nomaximal, Sylow
689C22×C47—22no—
690C22×C47—22no—
691C22×C47—22no—
692C22×C47—41no—
693C22×C47—41no—
694C22×C47—41no—
695C22×C47—41no—
696C22×C47C24×C411yescharacteristic
697C22×C47C22×#4111yescharacteristic
698C22×C47C22×#4111yescharacteristic
699C22×C47C22×#4111yescharacteristic
700C22×C47C22×#4111yescharacteristic
701C22×C47C2×H(5,𝔽2)11yescharacteristic
702C22×C47C2×2−1+411yescharacteristic
703C2×D47—22no—
704C2×D47—22no—
705C2×D47—22no—
706C2×D47—41no—
707C2×D47—41no—
708C2×D47—41no—
709C2×D47—41no—
710C2×D47—416no—
711C2×D47C4×#4114yes—
712C2×D47C4×#4114yes—
713C2×D47#52014yes—
714C2×D47#55114yes—
715C2×D47#55214yes—
716C2×D47#55314yes—
717C2×D47#55614yes—
718C4×C47—22no—
719C4×C47—22no—
720C4×C47—22no—
721C4×C47—22no—
722C4×C47—22no—
723C4×C47—22no—
724C4×C47—22no—
725C4×C47—22no—
726C4×C47—22no—
727C4×C47—22no—
728C4×C47—41no—
729C4×C47—41no—
730C4×C47—41no—
731C4×C47—41no—
732Dic47—22no—
733Dic47—22no—
734Dic47—22no—
735Dic47—22no—
736Dic47—22no—
737Dic47—22no—
738Dic47—22no—
739Dic47—22no—
740Dic47—22no—
741Dic47—22no—
742Dic47—41no—
743Dic47—41no—
744Dic47—41no—
745Dic47—41no—
746C22×#126—471no—
747#2373—471no—
748#2373—471no—
749#2373—471no—
750#2373—471no—
751#2373—471no—
752#2373—471no—
753#2373—471no—
754#2373—471no—
755#2373—471no—
756#2373—471no—
757#2373—471no—
758#2373—471no—
759#2373—471no—
760#2373—471no—
761#2373—471no—
762#2373D4711yescharacteristic, direct product factor
763C2×#389—471no—
764C2×#388—471no—
765C2×#388—471no—
766C2×#388—471no—
767C2×#387—471no—
768C2×#387—471no—
769C2×#387—471no—
770C2×#385—471no—
771C2×C4×C4⋊C4—471no—
772C2×C4×C4⋊C4—471no—
773C2×C4×C4⋊C4—471no—
774C2×C4×C22⋊C4—471no—
775C2×C4×C22⋊C4—471no—
776C2×#376—471no—
777C2×C47—42no—
778C2×C47C2×C4×#4111yescharacteristic
779C2×C47C2×C4×#4111yescharacteristic
780C2×C47C2×#52011yescharacteristic
781C2×C47C2×#55111yescharacteristic
782C2×C47C2×#55211yescharacteristic
783C2×C47C2×#55311yescharacteristic
784C2×C47C2×#55611yescharacteristic
785D47—42no—
786D47#237318yesdirect product factor
787C24×C4—471no—
788C2×#126—4716no—
789C2×#126—471no—
790C2×#126—471no—
791C2×#126—471no—
792C2×#126—471no—
793C2×#126—471no—
794C2×#126—471no—
795C2×#126—471no—
796C2×#126C2×D4711yescharacteristic
797C22×C4⋊C4—471no—
798C22×C4⋊C4—471no—
799C22×C4⋊C4—471no—
800C22×C4⋊C4—471no—
801C22×C4⋊C4—471no—
802C22×C4⋊C4—471no—
803C22×C4⋊C4—471no—
804C22×C4⋊C4—471no—
805C22×C22⋊C4—471no—
806C22×C22⋊C4—471no—
807C22×C22⋊C4—471no—
808C22×C22⋊C4—471no—
809C22×C22⋊C4—471no—
810C22×C22⋊C4—471no—
811C22×C42—471no—
812C22×C42—471no—
813C22×C42—471no—
814C22×C42—471no—
815C22×C42—471no—
816C22×C42—471no—
817C22×C42—471no—
818C22×C42—471no—
819#389—471no—
820#389—471no—
821#389—471no—
822#389—471no—
823#389—471no—
824#389—471no—
825#389—471no—
826#389C2×D4711yescharacteristic, complemented
827#388—471no—
828#388—471no—
829#388—471no—
830#388—471no—
831#388—471no—
832#388—471no—
833#388—471no—
834#388—471no—
835#388—471no—
836#388—471no—
837#388—471no—
838#388—471no—
839#388—471no—
840#388—471no—
841#388—471no—
842#388—471no—
843#388—471no—
844#388—471no—
845#388—471no—
846#388—471no—
847#388—471no—
848#388C2×D4711yescharacteristic
849#388C2×D4711yescharacteristic
850#388C2×D4711yescharacteristic
851#387—471no—
852#387—471no—
853#387—471no—
854#387—471no—
855#387—471no—
856#387—471no—
857#387—471no—
858#387—471no—
859#387—471no—
860#387—471no—
861#387—471no—
862#387—471no—
863#387—471no—
864#387—471no—
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387C2×D4711yescharacteristic, complemented
873#387C2×D4711yescharacteristic, complemented
874#387C2×D4711yescharacteristic, complemented
875#385—471no—
876#385—471no—
877#385—471no—
878#385—471no—
879#385—471no—
880#385—471no—
881#385—471no—
882#385C2×D4711yescharacteristic
883C4×C4⋊C4—471no—
884C4×C4⋊C4—471no—
885C4×C4⋊C4—471no—
886C4×C4⋊C4—471no—
887C4×C4⋊C4—471no—
888C4×C4⋊C4—471no—
889C4×C4⋊C4—471no—
890C4×C4⋊C4—471no—
891C4×C4⋊C4—471no—
892C4×C4⋊C4—471no—
893C4×C4⋊C4—471no—
894C4×C4⋊C4—471no—
895C4×C4⋊C4—471no—
896C4×C4⋊C4—471no—
897C4×C4⋊C4—471no—
898C4×C4⋊C4—471no—
899C4×C4⋊C4—471no—
900C4×C4⋊C4—471no—
901C4×C4⋊C4—471no—
902C4×C4⋊C4—471no—
903C4×C4⋊C4—471no—
904C4×C4⋊C4C2×D4711yescharacteristic, complemented
905C4×C4⋊C4C2×D4711yescharacteristic, complemented
906C4×C4⋊C4C2×D4711yescharacteristic, complemented
907C4×C22⋊C4—471no—
908C4×C22⋊C4—471no—
909C4×C22⋊C4—471no—
910C4×C22⋊C4—471no—
911C4×C22⋊C4—471no—
912C4×C22⋊C4—471no—
913C4×C22⋊C4—471no—
914C4×C22⋊C4—471no—
915C4×C22⋊C4—471no—
916C4×C22⋊C4—471no—
917C4×C22⋊C4—471no—
918C4×C22⋊C4—471no—
919C4×C22⋊C4—471no—
920C4×C22⋊C4—471no—
921C4×C22⋊C4C2×D4711yescharacteristic
922C4×C22⋊C4C2×D4711yescharacteristic
923#376—471no—
924#376—471no—
925#376—471no—
926#376—471no—
927#376—471no—
928#376—471no—
929#376—471no—
930#376C2×D4711yescharacteristic, complemented
931C2×#95—471no—
932C2×#95—471no—
933C2×#95—471no—
934C2×#95—471no—
935C2×#95—471no—
936C2×#95—471no—
937C2×#95—471no—
938C2×#95—471no—
939C2×#95—471no—
940C2×#95—471no—
941C2×#95—471no—
942C2×#95—471no—
943C47C2×#237311yescharacteristic, complemented, Sylow
944C25—471no—
945C23×C4—471no—
946C23×C4—471no—
947C23×C4—471no—
948C23×C4—471no—
949C23×C4—471no—
950C23×C4—471no—
951C23×C4—471no—
952C23×C4—471no—
953C23×C4—471no—
954C23×C4—471no—
955C23×C4—471no—
956C23×C4—471no—
957C23×C4—471no—
958C23×C4—471no—
959C23×C4—471no—
960C23×C4—471no—
961C23×C4—471no—
962C23×C4—944no—
963C23×C4—944no—
964C23×C4—1882no—
965C23×C4C22×D4711yescharacteristic
966#126—478no—
967#126—478no—
968#126—478no—
969#126—478no—
970#126—478no—
971#126—478no—
972#126—478no—
973#126C4×D4718yescomplemented
974C2×C4⋊C4—471no—
975C2×C4⋊C4—471no—
976C2×C4⋊C4—471no—
977C2×C4⋊C4—471no—
978C2×C4⋊C4—471no—
979C2×C4⋊C4—471no—
980C2×C4⋊C4—471no—
981C2×C4⋊C4—471no—
982C2×C4⋊C4—471no—
983C2×C4⋊C4—478no—
984C2×C4⋊C4—478no—
985C2×C4⋊C4—478no—
986C2×C4⋊C4—471no—
987C2×C4⋊C4—471no—
988C2×C4⋊C4—471no—
989C2×C4⋊C4—471no—
990C2×C4⋊C4—471no—
991C2×C4⋊C4—471no—
992C2×C4⋊C4—471no—
993C2×C4⋊C4—471no—
994C2×C4⋊C4—471no—
995C2×C4⋊C4—471no—
996C2×C4⋊C4—471no—
997C2×C4⋊C4—471no—
998C2×C4⋊C4—471no—
999C2×C4⋊C4—471no—
1000C2×C4⋊C4—471no—
1001C2×C4⋊C4—944no—
1002C2×C4⋊C4—944no—
1003C2×C4⋊C4—944no—
1004C2×C4⋊C4—944no—
1005C2×C4⋊C4—1882no—
1006C2×C4⋊C4C22×D4711yescharacteristic
1007C2×C4⋊C4C22×D4711yescharacteristic
1008C2×C4⋊C4C22×D4711yescharacteristic
1009C2×C4⋊C4C22×D4711yescharacteristic
1010C2×C4⋊C4C22×D4711yescharacteristic
1011C2×C4⋊C4C22×D4711yescharacteristic
1012C2×C4⋊C4C22×D4711yescharacteristic
1013C2×C4⋊C4C22×D4711yescharacteristic
1014C2×C22⋊C4—471no—
1015C2×C22⋊C4—471no—
1016C2×C22⋊C4—471no—
1017C2×C22⋊C4—471no—
1018C2×C22⋊C4—471no—
1019C2×C22⋊C4—471no—
1020C2×C22⋊C4—471no—
1021C2×C22⋊C4—471no—
1022C2×C22⋊C4—471no—
1023C2×C22⋊C4—478no—
1024C2×C22⋊C4—478no—
1025C2×C22⋊C4—478no—
1026C2×C22⋊C4—471no—
1027C2×C22⋊C4—471no—
1028C2×C22⋊C4—471no—
1029C2×C22⋊C4—471no—
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—471no—
1032C2×C22⋊C4—471no—
1033C2×C22⋊C4—471no—
1034C2×C22⋊C4—471no—
1035C2×C22⋊C4—944no—
1036C2×C22⋊C4—944no—
1037C2×C22⋊C4—1882no—
1038C2×C22⋊C4C22×D4711yescharacteristic
1039C2×C22⋊C4C22×D4711yescharacteristic
1040C2×C22⋊C4C22×D4711yescharacteristic
1041C2×C22⋊C4C22×D4711yescharacteristic
1042C2×C22⋊C4C22×D4711yescharacteristic
1043C2×C22⋊C4C22×D4711yescharacteristic
1044C2×C42—471no—
1045C2×C42—471no—
1046C2×C42—471no—
1047C2×C42—478no—
1048C2×C42—471no—
1049C2×C42—471no—
1050C2×C42—471no—
1051C2×C42—471no—
1052C2×C42—471no—
1053C2×C42—471no—
1054C2×C42—471no—
1055C2×C42—471no—
1056C2×C42—471no—
1057C2×C42—471no—
1058C2×C42—471no—
1059C2×C42—471no—
1060C2×C42—471no—
1061C2×C42—471no—
1062C2×C42—471no—
1063C2×C42—471no—
1064C2×C42—471no—
1065C2×C42—471no—
1066C2×C42—471no—
1067C2×C42—471no—
1068C2×C42—471no—
1069C2×C42—944no—
1070C2×C42—944no—
1071C2×C42—944no—
1072C2×C42—944no—
1073C2×C42—1882no—
1074C2×C42—1882no—
1075C2×C42—1882no—
1076C2×C42C22×D4711yescharacteristic
1077C2×C42C22×D4711yescharacteristic
1078C2×C42C22×D4711yescharacteristic
1079C2×C42C22×D4711yescharacteristic
1080C2×C42C22×D4711yescharacteristic
1081C2×C42C22×D4711yescharacteristic
1082C2×C42C22×D4711yescharacteristic
1083C2×C42C22×D4711yescharacteristic
1084#95—471no—
1085#95—471no—
1086#95—471no—
1087#95—471no—
1088#95—471no—
1089#95—471no—
1090#95—471no—
1091#95—471no—
1092#95—471no—
1093#95—471no—
1094#95—471no—
1095#95—471no—
1096#95—471no—
1097#95—471no—
1098#95—471no—
1099#95—471no—
1100#95—471no—
1101#95—471no—
1102#95—471no—
1103#95—471no—
1104#95—471no—
1105#95—471no—
1106#95—471no—
1107#95—471no—
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95C22×D4711yescharacteristic
1121#95C22×D4711yescharacteristic
1122#95C22×D4711yescharacteristic
1123#95C22×D4711yescharacteristic
1124#95C22×D4711yescharacteristic
1125#95C22×D4711yescharacteristic
1126#95C22×D4711yescharacteristic
1127#95C22×D4711yescharacteristic
1128#95C22×D4711yescharacteristic
1129#95C22×D4711yescharacteristic
1130#95C22×D4711yescharacteristic
1131#95C22×D4711yescharacteristic
1132C24—471no—
1133C24—474no—
1134C24—471no—
1135C24—942no—
1136C24—942no—
1137C24—942no—
1138C24—942no—
1139C24—942no—
1140C24—942no—
1141C24C23×D4711yescharacteristic
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—41no—
1145C22×C4—471no—
1146C22×C4—471no—
1147C22×C4—471no—
1148C22×C4—471no—
1149C22×C4—471no—
1150C22×C4—471no—
1151C22×C4—471no—
1152C22×C4—471no—
1153C22×C4—471no—
1154C22×C4—471no—
1155C22×C4—474no—
1156C22×C4—474no—
1157C22×C4—474no—
1158C22×C4—474no—
1159C22×C4—474no—
1160C22×C4—474no—
1161C22×C4—474no—
1162C22×C4—474no—
1163C22×C4—474no—
1164C22×C4—474no—
1165C22×C4—471no—
1166C22×C4—471no—
1167C22×C4—471no—
1168C22×C4—471no—
1169C22×C4—942no—
1170C22×C4—942no—
1171C22×C4—942no—
1172C22×C4—942no—
1173C22×C4—942no—
1174C22×C4—942no—
1175C22×C4—942no—
1176C22×C4—942no—
1177C22×C4—942no—
1178C22×C4—942no—
1179C22×C4—942no—
1180C22×C4—942no—
1181C22×C4—942no—
1182C22×C4—942no—
1183C22×C4—942no—
1184C22×C4—942no—
1185C22×C4—942no—
1186C22×C4—942no—
1187C22×C4—942no—
1188C22×C4—942no—
1189C22×C4—942no—
1190C22×C4—942no—
1191C22×C4—942no—
1192C22×C4—942no—
1193C22×C4—942no—
1194C22×C4—942no—
1195C22×C4—942no—
1196C22×C4—942no—
1197C22×C4—942no—
1198C22×C4—942no—
1199C22×C4—942no—
1200C22×C4—942no—
1201C22×C4—942no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—1881no—
1208C22×C4—1881no—
1209C22×C4—18816no—
1210C22×C4—1881no—
1211C22×C4C23×D4711yescharacteristic
1212C22×C4C23×D4711yescharacteristic
1213C22×C4C23×D4711yescharacteristic
1214C22×C4C23×D4711yescharacteristic
1215C22×C4C23×D4711yescharacteristic
1216C22×C4C23×D4711yescharacteristic
1217C22×C4C23×D4711yescharacteristic
1218C22×C4C23×D4711yescharacteristic
1219C22×C4C23×D4711yescharacteristic
1220C22×C4C23×D4711yescharacteristic
1221C22×C4C23×D4711yescharacteristic
1222C22×C4C23×D4711yescharacteristic
1223C22×C4C23×D4711yescharacteristic
1224C22×C4C23×D4711yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—41no—
1230C4⋊C4—474no—
1231C4⋊C4—474no—
1232C4⋊C4—474no—
1233C4⋊C4—474no—
1234C4⋊C4—474no—
1235C4⋊C4—474no—
1236C4⋊C4—474no—
1237C4⋊C4—474no—
1238C4⋊C4—474no—
1239C4⋊C4—942no—
1240C4⋊C4—942no—
1241C4⋊C4—942no—
1242C4⋊C4—942no—
1243C4⋊C4—942no—
1244C4⋊C4—942no—
1245C4⋊C4—942no—
1246C4⋊C4—942no—
1247C4⋊C4—942no—
1248C4⋊C4—942no—
1249C4⋊C4—942no—
1250C4⋊C4—942no—
1251C4⋊C4—1881no—
1252C4⋊C4—1881no—
1253C4⋊C4—1881no—
1254C4⋊C4C2×C4×D4714yescomplemented
1255C4⋊C4C2×C4×D4714yescomplemented
1256C4⋊C4C2×C4×D4714yescomplemented
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—41no—
1260C22⋊C4—474no—
1261C22⋊C4—474no—
1262C22⋊C4—474no—
1263C22⋊C4—474no—
1264C22⋊C4—474no—
1265C22⋊C4—474no—
1266C22⋊C4—474no—
1267C22⋊C4—474no—
1268C22⋊C4—474no—
1269C22⋊C4—942no—
1270C22⋊C4—942no—
1271C22⋊C4—942no—
1272C22⋊C4—942no—
1273C22⋊C4—942no—
1274C22⋊C4—942no—
1275C22⋊C4—1881no—
1276C22⋊C4—1881no—
1277C22⋊C4—1881no—
1278C22⋊C4C2×C4×D4714yes—
1279C22⋊C4C2×C4×D4714yes—
1280C22⋊C4C2×C4×D4714yes—
1281C42—22no—
1282C42—22no—
1283C42—22no—
1284C42—22no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—474no—
1289C42—474no—
1290C42—474no—
1291C42—942no—
1292C42—942no—
1293C42—942no—
1294C42—942no—
1295C42—942no—
1296C42—942no—
1297C42—942no—
1298C42—942no—
1299C42—942no—
1300C42—942no—
1301C42—942no—
1302C42—942no—
1303C42—1881no—
1304C42—1881no—
1305C42—1881no—
1306C42—1881no—
1307C42—1881no—
1308C42—1881no—
1309C42—1881no—
1310C42—1881no—
1311C42—1881no—
1312C42C2×C4×D4714yescomplemented
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—472no—
1320C23—472no—
1321C23—472no—
1322C23—472no—
1323C23—472no—
1324C23—472no—
1325C23—472no—
1326C23—472no—
1327C23—948no—
1328C23—948no—
1329C23—948no—
1330C23—941no—
1331C23—941no—
1332C23—941no—
1333C23—941no—
1334C23—941no—
1335C23—941no—
1336C23—1884no—
1337C23—1884no—
1338C23—1884no—
1339C23—1884no—
1340C23C22×C4×D4712yes—
1341C23C24×D4711yescharacteristic
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—472no—
1376C2×C4—472no—
1377C2×C4—472no—
1378C2×C4—472no—
1379C2×C4—472no—
1380C2×C4—472no—
1381C2×C4—472no—
1382C2×C4—472no—
1383C2×C4—472no—
1384C2×C4—472no—
1385C2×C4—948no—
1386C2×C4—948no—
1387C2×C4—948no—
1388C2×C4—948no—
1389C2×C4—948no—
1390C2×C4—948no—
1391C2×C4—948no—
1392C2×C4—948no—
1393C2×C4—948no—
1394C2×C4—948no—
1395C2×C4—941no—
1396C2×C4—941no—
1397C2×C4—941no—
1398C2×C4—941no—
1399C2×C4—941no—
1400C2×C4—941no—
1401C2×C4—941no—
1402C2×C4—941no—
1403C2×C4—941no—
1404C2×C4—941no—
1405C2×C4—941no—
1406C2×C4—941no—
1407C2×C4—941no—
1408C2×C4—941no—
1409C2×C4—941no—
1410C2×C4—941no—
1411C2×C4—941no—
1412C2×C4—941no—
1413C2×C4—941no—
1414C2×C4—941no—
1415C2×C4—941no—
1416C2×C4—941no—
1417C2×C4—941no—
1418C2×C4—941no—
1419C2×C4—941no—
1420C2×C4—941no—
1421C2×C4—941no—
1422C2×C4—941no—
1423C2×C4—941no—
1424C2×C4—941no—
1425C2×C4—941no—
1426C2×C4—941no—
1427C2×C4—1884no—
1428C2×C4—1884no—
1429C2×C4—1884no—
1430C2×C4—1884no—
1431C2×C4—1884no—
1432C2×C4—1884no—
1433C2×C4—1884no—
1434C2×C4C22×C4×D4712yes—
1435C2×C4C22×C4×D4712yes—
1436C2×C4C22×C4×D4712yes—
1437C2×C4C22×C4×D4712yes—
1438C2×C4C22×C4×D4712yes—
1439C2×C4C22×C4×D4712yes—
1440C2×C4#41×D4712yes—
1441C2×C4#41×D4712yes—
1442C2×C4#41×D4712yes—
1443C2×C4#41×D4712yes—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—474no—
1452C22—474no—
1453C22—474no—
1454C22—474no—
1455C22—474no—
1456C22—474no—
1457C22—474no—
1458C22—942no—
1459C22—942no—
1460C22—942no—
1461C22—18816no—
1462C22—1881no—
1463C22—1881no—
1464C22—1881no—
1465C22—1881no—
1466C22C23×C4×D4711yescharacteristic
1467C22C2×#41×D4711yescharacteristic
1468C22C2×#41×D4711yescharacteristic
1469C22C2×#41×D4711yescharacteristic
1470C22C2×#41×D4711yescharacteristic
1471C22H(5,𝔽2)×D4711yescharacteristic
1472C222−1+4×D4711yescharacteristic
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—942no—
1488C4—942no—
1489C4—942no—
1490C4—942no—
1491C4—942no—
1492C4—942no—
1493C4—942no—
1494C4—942no—
1495C4—942no—
1496C4—942no—
1497C4—1881no—
1498C4—1881no—
1499C4—1881no—
1500C4—1881no—
1501C2—42no—
1502C2—478no—
1503C2—1882no—
1504C2C4×#41×D4711yescharacteristic
1505C2C4×#41×D4711yescharacteristic
1506C2#520×D4711yescharacteristic
1507C2#551×D4711yescharacteristic
1508C2#552×D4711yescharacteristic
1509C2#553×D4711yescharacteristic
1510C2#556×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2373C2
socle, cosocleC23×C47C25
prime radicalC24×D47C23
hypercenter#2373D47
hypocenterC47C2×#2373
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #20246515C2semidirect
3. #20246514C2semidirect
4. #20246513C2semidirect
5. #20246512C2semidirect
6. #20246511C2semidirect
7. #20246510C2semidirect
8. #20246509C2semidirect
9. #20246508C2semidirect
10. #20246507C2semidirect
11. #20246506C2semidirect
12. #20246505C2semidirect
13. #20246504C2semidirect
14. #20246503C2semidirect
15. #20246502C2semidirect
16. #20246501C2semidirect
17. #389×D47C2semidirect
21. #387×D47C2semidirect
22. #387×D47C2semidirect
23. #387×D47C2semidirect
25. C4×C4⋊C4×D47C2semidirect
26. C4×C4⋊C4×D47C2semidirect
27. C4×C4⋊C4×D47C2semidirect
30. #376×D47C2semidirect
31. C47×#2373C2semidirect
40. #126×D47C4semidirect
63. #15689022C22semidirect
64. #15689021C22semidirect
65. #15689020C22semidirect
66. #15689020C22semidirect
67. #15689019C22semidirect
68. #15689018C22semidirect
69. #15689018C22semidirect
91. #15689010C22semidirect
92. #15689010C22semidirect
93. #15689010C22semidirect
94. #15689009C22semidirect
95. #15689009C22semidirect
96. #15689009C22semidirect
97. #15689008C22semidirect
98. #15689008C22semidirect
99. #15689008C22semidirect
100. #15689007C22semidirect
101. #15689007C22semidirect
102. #15689007C22semidirect
103. #15689006C22semidirect
104. #15689006C22semidirect
105. #15689006C22semidirect
106. #15689005C22semidirect
107. #15689005C22semidirect
108. #15689005C22semidirect
109. #15689004C22semidirect
110. #15689004C22semidirect
111. #15689004C22semidirect
119. C4⋊C4×Dic47C22semidirect
120. C4⋊C4×Dic47C22semidirect
121. C4⋊C4×Dic47C22semidirect
122. C4⋊C4×Dic47C22semidirect
123. C4⋊C4×Dic47C22semidirect
124. C4⋊C4×Dic47C22semidirect
125. C4×Dic47⋊C4C22semidirect
126. C4×Dic47⋊C4C22semidirect
127. C4×Dic47⋊C4C22semidirect
128. C4×Dic47⋊C4C22semidirect
129. C4×Dic47⋊C4C22semidirect
130. C4×Dic47⋊C4C22semidirect
131. C4×C4⋊Dic47C22semidirect
132. C4×C4⋊Dic47C22semidirect
133. C4×C4⋊Dic47C22semidirect
134. #15688974C22semidirect
135. #15688974C22semidirect
136. #15688974C22semidirect
137. #15688974C22semidirect
138. #15688974C22semidirect
139. #15688974C22semidirect
154. #15688969C22semidirect
155. #15688969C22semidirect
156. #15688969C22semidirect
157. #15688968C22semidirect
158. #15688968C22semidirect
159. #15688968C22semidirect
160. #15688968C22semidirect
174. C47×#389C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
184. C4×C4⋊C4×C47C22semidirect
187. C47×#376C22semidirect
209. #13094019C2×C4semidirect
210. #13094019C2×C4semidirect
211. #13094019C2×C4semidirect
212. #13094018C2×C4semidirect
213. #13094017C2×C4semidirect
214. #13094017C2×C4semidirect
215. #13094017C2×C4semidirect
245. C4⋊C4×D47C2×C4semidirect
246. C4⋊C4×D47C2×C4semidirect
247. C4⋊C4×D47C2×C4semidirect
303. C42×D47C2×C4semidirect
341. #126×C47C2×C4semidirect
474. C4⋊C4×C47C22×C4semidirect
475. C4⋊C4×C47C22×C4semidirect
476. C4⋊C4×C47C22×C4semidirect
490. C42×C47C22×C4semidirect
514. C4⋊Dic47C22×C4semidirect
515. C4⋊Dic47C22×C4semidirect
516. C4⋊Dic47C22×C4semidirect
527. Dic47⋊C4C22×C4semidirect
528. Dic47⋊C4C22×C4semidirect
529. Dic47⋊C4C22×C4semidirect
530. Dic47⋊C4C22×C4semidirect
531. Dic47⋊C4C22×C4semidirect
532. Dic47⋊C4C22×C4semidirect
554. C4×Dic47C22×C4semidirect
555. C4×Dic47C22×C4semidirect
556. C4×Dic47C22×C4semidirect
762. #2373D47direct (N × H)
786. D47#2373direct (N × H)
826. #389C2×D47semidirect
872. #387C2×D47semidirect
873. #387C2×D47semidirect
874. #387C2×D47semidirect
904. C4×C4⋊C4C2×D47semidirect
905. C4×C4⋊C4C2×D47semidirect
906. C4×C4⋊C4C2×D47semidirect
930. #376C2×D47semidirect
943. C47C2×#2373semidirect
973. #126C4×D47semidirect
1254. C4⋊C4C2×C4×D47semidirect
1255. C4⋊C4C2×C4×D47semidirect
1256. C4⋊C4C2×C4×D47semidirect
1312. C42C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D472
#202465152
#202465142
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