Finite Group Databasebeta

← D47×#2829 #26422593

Subgroups — D47×#2829 #26422593

Order 12032.

2434 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251527C211yesmaximal, characteristic, complemented
2#20251526C211yesmaximal, characteristic, complemented
3#20251525C211yesmaximal, characteristic, complemented
4#20251524C211yesmaximal, characteristic, complemented
5#20251523C211yesmaximal, characteristic, complemented
6#20251522C211yesmaximal, characteristic, complemented
7#20251521C211yesmaximal, characteristic, complemented
8#20251520C211yesmaximal, characteristic, complemented
9#20251519C211yesmaximal, characteristic, complemented
10#20251518C211yesmaximal, characteristic, complemented
11#20251517C211yesmaximal, characteristic, complemented
12#20251516C211yesmaximal, characteristic, complemented
13#20251515C211yesmaximal, characteristic, complemented
14#20251514C211yesmaximal, characteristic, complemented
15#20251513C211yesmaximal, characteristic, complemented
16#399×D47C211yesmaximal, characteristic, complemented
17#398×D47C211yesmaximal, characteristic, complemented
18#397×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#396×D47C211yesmaximal, characteristic, complemented
21#396×D47C211yesmaximal, characteristic, complemented
22#394×D47C211yesmaximal, characteristic, complemented
23#394×D47C211yesmaximal, characteristic, complemented
24#394×D47C211yesmaximal, characteristic, complemented
25#394×D47C211yesmaximal, characteristic, complemented
26#394×D47C211yesmaximal, characteristic, complemented
27#392×D47C211yesmaximal, characteristic
28#390×D47C211yesmaximal, characteristic, complemented
29#388×D47C211yesmaximal, characteristic, complemented
30#387×D47C211yesmaximal, characteristic, complemented
31C47×#2829C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C22×D4×D47C2211yescharacteristic
35C2×C4⋊C4×D47C2211yescharacteristic
36C2×C4⋊C4×D47C2211yescharacteristic
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40C2×C4⋊C4×D47C2211yescharacteristic
41C2×C4⋊C4×D47C2211yescharacteristic
42C2×C4⋊C4×D47C2211yescharacteristic
43C2×C22⋊C4×D47C2211yescharacteristic
44C2×C22⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊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×C22⋊C4×D47C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C2×C42×D47C2211yescharacteristic
59#15689060C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic, complemented
62#15689059C2211yescharacteristic, complemented
63#15689058C2211yescharacteristic, complemented
64#15689058C2211yescharacteristic, complemented
65#15689058C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689056C2211yescharacteristic, complemented
69#15689056C2211yescharacteristic, complemented
70#15689055C2211yescharacteristic, complemented
71#15689054C2211yescharacteristic, complemented
72#15689053C2211yescharacteristic, complemented
73#15689052C2211yescharacteristic, complemented
74#15689052C2211yescharacteristic, complemented
75#15689052C2211yescharacteristic, complemented
76#15689052C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic, complemented
78#15689051C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689050C2211yescharacteristic, complemented
82#15689050C2211yescharacteristic, complemented
83#15689049C2211yescharacteristic, complemented
84#15689049C2211yescharacteristic, complemented
85#15689048C2211yescharacteristic, complemented
86#15689048C2211yescharacteristic, complemented
87#15689047C2211yescharacteristic, complemented
88#15689047C2211yescharacteristic, complemented
89#15689046C2211yescharacteristic, complemented
90#15689046C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689045C2211yescharacteristic, complemented
97#15689045C2211yescharacteristic, complemented
98#15689045C2211yescharacteristic, complemented
99#15689045C2211yescharacteristic, complemented
100#15689045C2211yescharacteristic, complemented
101#15689041C2211yescharacteristic, complemented
102#15689041C2211yescharacteristic, complemented
103#15689041C2211yescharacteristic, complemented
104#15689041C2211yescharacteristic, complemented
105#15689041C2211yescharacteristic, complemented
106#15689040C2211yescharacteristic, complemented
107#15689040C2211yescharacteristic, complemented
108#15689040C2211yescharacteristic, complemented
109#15689040C2211yescharacteristic, complemented
110#15689040C2211yescharacteristic, complemented
111#15689039C2211yescharacteristic, complemented
112#15689039C2211yescharacteristic, complemented
113#15689039C2211yescharacteristic, complemented
114#15689039C2211yescharacteristic, complemented
115#15689039C2211yescharacteristic, complemented
116#15689039C2211yescharacteristic, complemented
117#15689039C2211yescharacteristic, complemented
118#15689039C2211yescharacteristic, complemented
119#15689039C2211yescharacteristic, complemented
120#15689039C2211yescharacteristic, complemented
121#15689038C2211yescharacteristic, complemented
122#15689038C2211yescharacteristic, complemented
123#15689038C2211yescharacteristic, complemented
124#15689038C2211yescharacteristic, complemented
125#15689038C2211yescharacteristic, complemented
126#15689038C2211yescharacteristic, complemented
127#15689038C2211yescharacteristic, complemented
128#15689038C2211yescharacteristic, complemented
129#15689038C2211yescharacteristic, complemented
130#15689038C2211yescharacteristic, complemented
131#15689037C2211yescharacteristic, complemented
132#15689037C2211yescharacteristic, complemented
133#15689037C2211yescharacteristic, complemented
134#15689037C2211yescharacteristic, complemented
135#15689037C2211yescharacteristic, complemented
136#15689033C2211yescharacteristic
137#15689032C2211yescharacteristic
138#15689032C2211yescharacteristic
139#15689032C2211yescharacteristic
140#15689031C2211yescharacteristic
141#15689031C2211yescharacteristic
142#15689031C2211yescharacteristic
143#15689026C2211yescharacteristic, complemented
144#15689025C2211yescharacteristic, complemented
145#15689024C2211yescharacteristic, complemented
146#15689023C2211yescharacteristic, complemented
147#15689023C2211yescharacteristic, complemented
148#15689023C2211yescharacteristic, complemented
149#15689023C2211yescharacteristic, complemented
150#15689017C2211yescharacteristic, complemented
151#15689016C2211yescharacteristic, complemented
152#15689015C2211yescharacteristic, complemented
153#15689014C2211yescharacteristic, complemented
154#15689013C2211yescharacteristic, complemented
155#15689012C2211yescharacteristic, complemented
156#15689011C2211yescharacteristic, complemented
157#15689010C2211yescharacteristic, complemented
158#15689009C2211yescharacteristic, complemented
159#15689008C2211yescharacteristic, complemented
160#15689007C2211yescharacteristic, complemented
161#15689006C2211yescharacteristic, complemented
162#15689005C2211yescharacteristic, complemented
163#15689004C2211yescharacteristic, complemented
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#399C2211yescharacteristic, complemented
173C47×#398C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#396C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#394C2211yescharacteristic, complemented
183C47×#392C2211yescharacteristic
184C47×#390C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic, complemented
186C47×#387C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C24×D47C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C2×D4×D47—24no—
200C2×D4×D47—42no—
201C2×D4×D47—42no—
202C2×D4×D47—42no—
203C2×D4×D47—42no—
204C2×D4×D47—42no—
205C2×D4×D47—42no—
206C2×D4×D47—42no—
207C2×D4×D47—42no—
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
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
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C4⋊C4×D47—24no—
245C4⋊C4×D47—42no—
246C4⋊C4×D47—42no—
247C4⋊C4×D47—42no—
248C4⋊C4×D47—42no—
249C4⋊C4×D47—42no—
250C4⋊C4×D47—42no—
251C4⋊C4×D47—42no—
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C22⋊C4×D47—24no—
298C22⋊C4×D47—42no—
299C22⋊C4×D47—42no—
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C22⋊C4×D47—42no—
303C22⋊C4×D47—42no—
304C22⋊C4×D47—42no—
305C22⋊C4×D47—42no—
306C22⋊C4×D47—42no—
307C22⋊C4×D47—42no—
308C22⋊C4×D47—42no—
309C22⋊C4×D47—42no—
310C22⋊C4×D47—42no—
311C22⋊C4×D47—42no—
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C42×D47—42no—
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
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C22×D4×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×C4⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C42×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
375C24×C47C2411yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—22no—
384C23×D47—22no—
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—22no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454D4×D47—416no—
455D4×D47—416no—
456D4×D47—416no—
457C2×D188—22no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188—41no—
461C2×D188—41no—
462C2×D188—41no—
463C2×D188—41no—
464C2×D188—41no—
465C2×D188—41no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47#4114yes—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C4⋊C4×C47—41no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C22⋊C4×C47—41no—
525C42×C47—41no—
526C22⋊Dic47—22no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537C22⋊Dic47—41no—
538C22⋊Dic47—41no—
539C22⋊Dic47—41no—
540C22⋊Dic47—41no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571C4⋊Dic47—22no—
572C4⋊Dic47—41no—
573C4⋊Dic47—41no—
574C4⋊Dic47—41no—
575C4⋊Dic47—41no—
576C4⋊Dic47—41no—
577C4⋊Dic47—41no—
578C4⋊Dic47—41no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—41no—
582Dic47⋊C4—41no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595C4×Dic47—41no—
596C4×Dic47—41no—
597C4×Dic47—41no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47C2511yescharacteristic
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47—44no—
645C22×D47—44no—
646C22×D47—44no—
647C22×D47—44no—
648C22×D47—44no—
649C22×D47—44no—
650C22×D47—44no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47C2×#4112yes—
663C22×D47H(5,𝔽2)12yes—
664C22×D47H(5,𝔽2)12yes—
665C22×D47H(5,𝔽2)12yes—
666C22×D47H(5,𝔽2)12yes—
667C22×D47H(5,𝔽2)12yes—
668C22×D472−1+412yes—
669D4×C47—44no—
670D4×C47—44no—
671D4×C47—44no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47C2×#4112yes—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47C2×#4112yes—
750D188—44no—
751D188—44no—
752D188—44no—
753C4×D47—28no—
754C4×D47—44no—
755C4×D47—44no—
756C4×D47—44no—
757C4×D47—44no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C2×#2829—471nomaximal, Sylow
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47C22×#4111yescharacteristic
788C22×C47C2×H(5,𝔽2)11yescharacteristic
789C22×C47C2×H(5,𝔽2)11yescharacteristic
790C22×C47C2×H(5,𝔽2)11yescharacteristic
791C22×C47C2×H(5,𝔽2)11yescharacteristic
792C22×C47C2×H(5,𝔽2)11yescharacteristic
793C22×C47C2×2−1+411yescharacteristic
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—88no—
816C2×D47—88no—
817C2×D47—88no—
818C2×D47#53814yes—
819C2×D47#54014yes—
820C2×D47#54214yes—
821C2×D47#56014yes—
822C2×D47#56014yes—
823C2×D47#56214yes—
824C2×D47#56214yes—
825C4×C47—22no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836C4×C47—41no—
837Dic47—22no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849#2829—471no—
850#2829—471no—
851#2829—471no—
852#2829—471no—
853#2829—471no—
854#2829—471no—
855#2829—471no—
856#2829—471no—
857#2829—471no—
858#2829—471no—
859#2829—471no—
860#2829—471no—
861#2829—471no—
862#2829—471no—
863#2829—471no—
864#2829D4711yescharacteristic, direct product factor
865C2×#399—471no—
866C2×#398—471no—
867C2×#397—471no—
868C2×#397—471no—
869C2×#396—471no—
870C2×#396—471no—
871C2×#394—471no—
872C2×#394—471no—
873C2×#394—471no—
874C2×#394—471no—
875C2×#394—471no—
876C2×#392—471no—
877C2×#390—471no—
878C2×#388—471no—
879C2×#387—471no—
880C2×C47—81no—
881C2×C47—81no—
882C2×C47—81no—
883C2×C47C2×#53811yescharacteristic
884C2×C47C2×#54011yescharacteristic
885C2×C47C2×#54211yescharacteristic
886C2×C47C2×#56011yescharacteristic
887C2×C47C2×#56011yescharacteristic
888C2×C47C2×#56211yescharacteristic
889C2×C47C2×#56211yescharacteristic
890D47—81no—
891D47—81no—
892D47—81no—
893D47#282918yesdirect product factor
894C23×D4—471no—
895C23×D4—471no—
896C23×D4—471no—
897C22×C4⋊C4—471no—
898C22×C4⋊C4—471no—
899C22×C4⋊C4—471no—
900C22×C4⋊C4—471no—
901C22×C4⋊C4—471no—
902C22×C4⋊C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C22⋊C4—471no—
906C22×C22⋊C4—471no—
907C22×C22⋊C4—471no—
908C22×C22⋊C4—471no—
909C22×C22⋊C4—471no—
910C22×C22⋊C4—471no—
911C22×C22⋊C4—471no—
912C22×C22⋊C4—471no—
913C22×C22⋊C4—471no—
914C22×C22⋊C4—471no—
915C22×C22⋊C4—471no—
916C22×C22⋊C4—471no—
917C22×C22⋊C4—471no—
918C22×C22⋊C4—471no—
919C22×C22⋊C4—471no—
920C22×C42—471no—
921#399—471no—
922#399—471no—
923#399—471no—
924#399—471no—
925#399—471no—
926#399—471no—
927#399—471no—
928#399C2×D4711yescharacteristic, complemented
929#398—471no—
930#398—471no—
931#398—471no—
932#398—471no—
933#398—471no—
934#398—471no—
935#398—471no—
936#398C2×D4711yescharacteristic, complemented
937#397—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397—471no—
942#397—471no—
943#397—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#397—471no—
951#397C2×D4711yescharacteristic, complemented
952#397C2×D4711yescharacteristic, complemented
953#396—471no—
954#396—471no—
955#396—471no—
956#396—471no—
957#396—471no—
958#396—471no—
959#396—471no—
960#396—471no—
961#396—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#396—471no—
967#396C2×D4711yescharacteristic, complemented
968#396C2×D4711yescharacteristic, complemented
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#394—471no—
984#394—471no—
985#394—471no—
986#394—471no—
987#394—471no—
988#394—471no—
989#394—471no—
990#394—471no—
991#394—471no—
992#394—471no—
993#394—471no—
994#394—471no—
995#394—471no—
996#394—471no—
997#394—471no—
998#394—471no—
999#394—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394C2×D4711yescharacteristic, complemented
1005#394C2×D4711yescharacteristic, complemented
1006#394C2×D4711yescharacteristic, complemented
1007#394C2×D4711yescharacteristic, complemented
1008#394C2×D4711yescharacteristic, complemented
1009#392—471no—
1010#392—471no—
1011#392—471no—
1012#392—471no—
1013#392—471no—
1014#392—471no—
1015#392—471no—
1016#392C2×D4711yescharacteristic
1017#390—471no—
1018#390—471no—
1019#390—471no—
1020#390—471no—
1021#390—471no—
1022#390—471no—
1023#390—471no—
1024#390C2×D4711yescharacteristic, complemented
1025#388—471no—
1026#388—471no—
1027#388—471no—
1028#388—471no—
1029#388—471no—
1030#388—471no—
1031#388—471no—
1032#388C2×D4711yescharacteristic, complemented
1033#387—471no—
1034#387—471no—
1035#387—471no—
1036#387—471no—
1037#387—471no—
1038#387—471no—
1039#387—471no—
1040#387C2×D4711yescharacteristic, complemented
1041C2×#95—471no—
1042C2×#95—471no—
1043C2×#95—471no—
1044C2×#95—471no—
1045C2×#95—471no—
1046C2×#95—471no—
1047C2×#95—471no—
1048C2×#95—471no—
1049C47C2×#282911yescharacteristic, complemented, Sylow
1050C25—471no—
1051C25—471no—
1052C25—471no—
1053C22×D4—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—944no—
1063C22×D4—1882no—
1064C22×D4—1882no—
1065C22×D4—1882no—
1066C22×D4—1882no—
1067C22×D4—1882no—
1068C22×D4—1882no—
1069C22×D4—1882no—
1070C22×D4—1882no—
1071C22×D4C22×D4711yescharacteristic
1072C22×D4C22×D4711yescharacteristic
1073C22×D4C22×D4711yescharacteristic
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—471no—
1082C23×C4—471no—
1083C23×C4—471no—
1084C23×C4—471no—
1085C23×C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—944no—
1111C2×C4⋊C4—1882no—
1112C2×C4⋊C4—1882no—
1113C2×C4⋊C4—1882no—
1114C2×C4⋊C4—1882no—
1115C2×C4⋊C4—1882no—
1116C2×C4⋊C4—1882no—
1117C2×C4⋊C4—1882no—
1118C2×C4⋊C4C22×D4711yescharacteristic
1119C2×C4⋊C4C22×D4711yescharacteristic
1120C2×C4⋊C4C22×D4711yescharacteristic
1121C2×C4⋊C4C22×D4711yescharacteristic
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C4⋊C4C22×D4711yescharacteristic
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—944no—
1172C2×C22⋊C4—1882no—
1173C2×C22⋊C4—1882no—
1174C2×C22⋊C4—1882no—
1175C2×C22⋊C4—1882no—
1176C2×C22⋊C4—1882no—
1177C2×C22⋊C4—1882no—
1178C2×C22⋊C4—1882no—
1179C2×C22⋊C4—1882no—
1180C2×C22⋊C4—1882no—
1181C2×C22⋊C4—1882no—
1182C2×C22⋊C4—1882no—
1183C2×C22⋊C4—1882no—
1184C2×C22⋊C4—1882no—
1185C2×C22⋊C4—1882no—
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C22⋊C4C22×D4711yescharacteristic
1192C2×C22⋊C4C22×D4711yescharacteristic
1193C2×C22⋊C4C22×D4711yescharacteristic
1194C2×C22⋊C4C22×D4711yescharacteristic
1195C2×C22⋊C4C22×D4711yescharacteristic
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—1882no—
1205C2×C42C22×D4711yescharacteristic
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95C22×D4711yescharacteristic
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238C24—471no—
1239C24—471no—
1240C24—471no—
1241C24—471no—
1242C24—942no—
1243C24—942no—
1244C24—942no—
1245C24—942no—
1246C24—942no—
1247C24—942no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—942no—
1257C24—942no—
1258C24—942no—
1259C24—942no—
1260C24—942no—
1261C24—942no—
1262C24—942no—
1263C24C23×D4711yescharacteristic
1264C24C23×D4711yescharacteristic
1265C24C23×D4711yescharacteristic
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C2×D4—1881no—
1283C2×D4—1881no—
1284C2×D4—1881no—
1285C2×D4—1881no—
1286C2×D4—18816no—
1287C2×D4—1881no—
1288C2×D4—1881no—
1289C2×D4—1881no—
1290C2×D4—1881no—
1291C2×D4—1881no—
1292C2×D4—1881no—
1293C2×D4—1881no—
1294C2×D4—1881no—
1295C2×D4—1881no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—18816no—
1304C2×D4—18816no—
1305C22×C4—471no—
1306C22×C4—474no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—942no—
1319C22×C4—942no—
1320C22×C4—942no—
1321C22×C4—942no—
1322C22×C4—942no—
1323C22×C4—942no—
1324C22×C4—942no—
1325C22×C4—942no—
1326C22×C4—942no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4C23×D4711yescharacteristic
1354C22×C4C23×D4711yescharacteristic
1355C22×C4C23×D4711yescharacteristic
1356C22×C4C23×D4711yescharacteristic
1357C22×C4C23×D4711yescharacteristic
1358C22×C4C23×D4711yescharacteristic
1359C22×C4C23×D4711yescharacteristic
1360C22×C4C23×D4711yescharacteristic
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4711yescharacteristic
1364C22×C4C23×D4711yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C4⋊C4—942no—
1376C4⋊C4—1881no—
1377C4⋊C4—1881no—
1378C4⋊C4—1881no—
1379C4⋊C4—1881no—
1380C4⋊C4—1881no—
1381C4⋊C4—1881no—
1382C4⋊C4—1881no—
1383C4⋊C4—1881no—
1384C4⋊C4—1881no—
1385C4⋊C4—1881no—
1386C4⋊C4—1881no—
1387C4⋊C4—1881no—
1388C4⋊C4—1881no—
1389C4⋊C4—1881no—
1390C4⋊C4—1881no—
1391C4⋊C4—1881no—
1392C4⋊C4—1881no—
1393C4⋊C4—1881no—
1394C4⋊C4—1881no—
1395C4⋊C4—1881no—
1396C4⋊C4—1881no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C22⋊C4—1881no—
1429C22⋊C4—1881no—
1430C22⋊C4—1881no—
1431C22⋊C4—1881no—
1432C22⋊C4—1881no—
1433C22⋊C4—1881no—
1434C22⋊C4—1881no—
1435C22⋊C4—1881no—
1436C22⋊C4—1881no—
1437C22⋊C4—1881no—
1438C22⋊C4—1881no—
1439C22⋊C4—1881no—
1440C22⋊C4—1881no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C42—41no—
1458C42—1881no—
1459C42—1881no—
1460C42—1881no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—472no—
1483C23—472no—
1484C23—472no—
1485C23—472no—
1486C23—472no—
1487C23—472no—
1488C23—472no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—1884no—
1511C23—1884no—
1512C23—1884no—
1513C23—1884no—
1514C23—1884no—
1515C23—1884no—
1516C23—1884no—
1517C23—1884no—
1518C23—1884no—
1519C23—1884no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23—1884no—
1526C23—1884no—
1527C23—1884no—
1528C23—1884no—
1529C23—1884no—
1530C23—1884no—
1531C23C24×D4711yescharacteristic
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—1884no—
1536D4—1884no—
1537D4—1884no—
1538D4—1884no—
1539D4—1884no—
1540D4—1884no—
1541D4—1884no—
1542D4—1884no—
1543D4—1884no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—472no—
1580C2×C4—948no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—1884no—
1617C2×C4—1884no—
1618C2×C4—1884no—
1619C2×C4—1884no—
1620C2×C4—1884no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4#41×D4712yes—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—474no—
1650C22—474no—
1651C22—474no—
1652C22—474no—
1653C22—474no—
1654C22—474no—
1655C22—474no—
1656C22—3768no—
1657C22—3768no—
1658C22—3768no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22—1881no—
1668C22—1881no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22—1881no—
1678C22—1881no—
1679C22—1881no—
1680C22C2×#41×D4711yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22H(5,𝔽2)×D4711yescharacteristic
1683C22H(5,𝔽2)×D4711yescharacteristic
1684C22H(5,𝔽2)×D4711yescharacteristic
1685C22H(5,𝔽2)×D4711yescharacteristic
1686C222−1+4×D4711yescharacteristic
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—942no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C4—1881no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2—478no—
1715C2—3761no—
1716C2—3761no—
1717C2—3761no—
1718C2#538×D4711yescharacteristic
1719C2#540×D4711yescharacteristic
1720C2#542×D4711yescharacteristic
1721C2#560×D4711yescharacteristic
1722C2#560×D4711yescharacteristic
1723C2#562×D4711yescharacteristic
1724C2#562×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2829C2
prime radical#392×D47C2
hypercenter#2829D47
hypocenterC47C2×#2829
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2829

Complements

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

NH ≅ G/Ntype
1. #20251527C2semidirect
2. #20251526C2semidirect
3. #20251525C2semidirect
4. #20251524C2semidirect
5. #20251523C2semidirect
6. #20251522C2semidirect
7. #20251521C2semidirect
8. #20251520C2semidirect
9. #20251519C2semidirect
10. #20251518C2semidirect
11. #20251517C2semidirect
12. #20251516C2semidirect
13. #20251515C2semidirect
14. #20251514C2semidirect
15. #20251513C2semidirect
16. #399×D47C2semidirect
17. #398×D47C2semidirect
18. #397×D47C2semidirect
19. #397×D47C2semidirect
20. #396×D47C2semidirect
21. #396×D47C2semidirect
22. #394×D47C2semidirect
23. #394×D47C2semidirect
24. #394×D47C2semidirect
25. #394×D47C2semidirect
26. #394×D47C2semidirect
28. #390×D47C2semidirect
29. #388×D47C2semidirect
30. #387×D47C2semidirect
31. C47×#2829C2semidirect
59. #15689060C22semidirect
60. #15689059C22semidirect
61. #15689059C22semidirect
62. #15689059C22semidirect
63. #15689058C22semidirect
64. #15689058C22semidirect
65. #15689058C22semidirect
66. #15689057C22semidirect
67. #15689057C22semidirect
68. #15689056C22semidirect
69. #15689056C22semidirect
70. #15689055C22semidirect
71. #15689054C22semidirect
72. #15689053C22semidirect
73. #15689052C22semidirect
74. #15689052C22semidirect
75. #15689052C22semidirect
76. #15689052C22semidirect
77. #15689051C22semidirect
78. #15689051C22semidirect
79. #15689051C22semidirect
80. #15689051C22semidirect
81. #15689050C22semidirect
82. #15689050C22semidirect
83. #15689049C22semidirect
84. #15689049C22semidirect
85. #15689048C22semidirect
86. #15689048C22semidirect
87. #15689047C22semidirect
88. #15689047C22semidirect
89. #15689046C22semidirect
90. #15689046C22semidirect
91. #15689046C22semidirect
92. #15689046C22semidirect
93. #15689046C22semidirect
94. #15689046C22semidirect
95. #15689045C22semidirect
96. #15689045C22semidirect
97. #15689045C22semidirect
98. #15689045C22semidirect
99. #15689045C22semidirect
100. #15689045C22semidirect
101. #15689041C22semidirect
102. #15689041C22semidirect
103. #15689041C22semidirect
104. #15689041C22semidirect
105. #15689041C22semidirect
106. #15689040C22semidirect
107. #15689040C22semidirect
108. #15689040C22semidirect
109. #15689040C22semidirect
110. #15689040C22semidirect
111. #15689039C22semidirect
112. #15689039C22semidirect
113. #15689039C22semidirect
114. #15689039C22semidirect
115. #15689039C22semidirect
116. #15689039C22semidirect
117. #15689039C22semidirect
118. #15689039C22semidirect
119. #15689039C22semidirect
120. #15689039C22semidirect
121. #15689038C22semidirect
122. #15689038C22semidirect
123. #15689038C22semidirect
124. #15689038C22semidirect
125. #15689038C22semidirect
126. #15689038C22semidirect
127. #15689038C22semidirect
128. #15689038C22semidirect
129. #15689038C22semidirect
130. #15689038C22semidirect
131. #15689037C22semidirect
132. #15689037C22semidirect
133. #15689037C22semidirect
134. #15689037C22semidirect
135. #15689037C22semidirect
143. #15689026C22semidirect
144. #15689025C22semidirect
145. #15689024C22semidirect
146. #15689023C22semidirect
147. #15689023C22semidirect
148. #15689023C22semidirect
149. #15689023C22semidirect
150. #15689017C22semidirect
151. #15689016C22semidirect
152. #15689015C22semidirect
153. #15689014C22semidirect
154. #15689013C22semidirect
155. #15689012C22semidirect
156. #15689011C22semidirect
157. #15689010C22semidirect
158. #15689009C22semidirect
159. #15689008C22semidirect
160. #15689007C22semidirect
161. #15689006C22semidirect
162. #15689005C22semidirect
163. #15689004C22semidirect
172. C47×#399C22semidirect
173. C47×#398C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#396C22semidirect
177. C47×#396C22semidirect
178. C47×#394C22semidirect
179. C47×#394C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#394C22semidirect
184. C47×#390C22semidirect
185. C47×#388C22semidirect
186. C47×#387C22semidirect
864. #2829D47direct (N × H)
893. D47#2829direct (N × H)
928. #399C2×D47semidirect
936. #398C2×D47semidirect
951. #397C2×D47semidirect
952. #397C2×D47semidirect
967. #396C2×D47semidirect
968. #396C2×D47semidirect
1004. #394C2×D47semidirect
1005. #394C2×D47semidirect
1006. #394C2×D47semidirect
1007. #394C2×D47semidirect
1008. #394C2×D47semidirect
1024. #390C2×D47semidirect
1032. #388C2×D47semidirect
1040. #387C2×D47semidirect
1049. C47C2×#2829semidirect

Maximal subgroups

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

subgroupindex
#202515272
#202515262
#202515252
#202515242
#202515232
#202515222
#202515212
#202515202
#202515192
#202515182
#202515172
#202515162
#202515152
#202515142
#202515132
#399×D472
#398×D472
#397×D472
#396×D472
#394×D472
#392×D472
#390×D472
#388×D472
#387×D472
C47×#28292
C2×#282947