Finite Group Databasebeta

← D47×#2521 #26385341

Subgroups — D47×#2521 #26385341

Order 12032.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D47C211yesmaximal, characteristic, complemented
2C2×#124×D47C211yesmaximal, characteristic
3#20248098C211yesmaximal, characteristic, complemented
4#20248097C211yesmaximal, characteristic, complemented
5#20248096C211yesmaximal, characteristic, complemented
6#20248095C211yesmaximal, characteristic, complemented
7#20248094C211yesmaximal, characteristic, complemented
8#20248093C211yesmaximal, characteristic, complemented
9#20248092C211yesmaximal, characteristic, complemented
10#20248091C211yesmaximal, characteristic, complemented
11#20248090C211yesmaximal, characteristic, complemented
12#20248089C211yesmaximal, characteristic, complemented
13#20248088C211yesmaximal, characteristic, complemented
14#20248087C211yesmaximal, characteristic, complemented
15#20248086C211yesmaximal, characteristic, complemented
16#20248085C211yesmaximal, characteristic, complemented
17#20248084C211yesmaximal, characteristic, complemented
18#399×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#395×D47C211yesmaximal, characteristic, complemented
21#394×D47C211yesmaximal, characteristic
22#391×D47C211yesmaximal, characteristic, complemented
23#388×D47C211yesmaximal, characteristic, complemented
24#388×D47C211yesmaximal, characteristic, complemented
25#388×D47C211yesmaximal, characteristic, complemented
26#387×D47C211yesmaximal, characteristic, complemented
27#386×D47C211yesmaximal, characteristic
28#380×D47C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2521C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094018C2211yescharacteristic, complemented
39C2×#13094017C2211yescharacteristic, complemented
40C2×#13094017C2211yescharacteristic, complemented
41C2×#13094017C2211yescharacteristic, complemented
42#126×D47—28no—
43C2×#13094013C2211yescharacteristic
44C2×#13094012C2211yescharacteristic
45C2×#13094011C2211yescharacteristic
46C2×#13094010C2211yescharacteristic
47C2×#13094010C2211yescharacteristic
48C2×#13094010C2211yescharacteristic
49C2×#13094010C2211yescharacteristic
50#124×D47—28no—
51C2×C4⋊C4×D47C2211yescharacteristic
52C2×C4⋊C4×D47C2211yescharacteristic
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C22⋊C4×D47C2211yescharacteristic
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689060C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic, complemented
77#15689058C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689058C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689051C2211yescharacteristic, complemented
84#15689050C2211yescharacteristic, complemented
85#15689049C2211yescharacteristic, complemented
86#15689048C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689043C2211yescharacteristic, complemented
92#15689043C2211yescharacteristic, complemented
93#15689042C2211yescharacteristic, complemented
94#15689041C2211yescharacteristic
95#15689040C2211yescharacteristic
96#15689039C2211yescharacteristic
97#15689039C2211yescharacteristic
98#15689038C2211yescharacteristic
99#15689038C2211yescharacteristic
100#15689037C2211yescharacteristic
101#15689030C2211yescharacteristic, complemented
102#15689029C2211yescharacteristic, complemented
103#15689028C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689027C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689013C2211yescharacteristic, complemented
122#15689013C2211yescharacteristic, complemented
123#15689012C2211yescharacteristic, complemented
124#15689012C2211yescharacteristic, complemented
125#15689012C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic, complemented
128#15689011C2211yescharacteristic, complemented
129#15689010C2211yescharacteristic, complemented
130#15689009C2211yescharacteristic, complemented
131#15689008C2211yescharacteristic, complemented
132#15689007C2211yescharacteristic, complemented
133#15689006C2211yescharacteristic, complemented
134#15689005C2211yescharacteristic, complemented
135#15689004C2211yescharacteristic, complemented
136#15689003C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688983C2211yescharacteristic, complemented
144#15688982C2211yescharacteristic, complemented
145#15688982C2211yescharacteristic, complemented
146#15688981C2211yescharacteristic, complemented
147#15688981C2211yescharacteristic, complemented
148#15688980C2211yescharacteristic, complemented
149#15688980C2211yescharacteristic, complemented
150C4⋊C4×Dic47C2211yescharacteristic, complemented
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4×Dic47⋊C4C2211yescharacteristic, complemented
153C4×Dic47⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic47C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic47C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688970C2211yescharacteristic, 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
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#124×C47C2211yescharacteristic
176C47×#399C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#395C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#387C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C2×Q8×D47—24no—
195C2×Q8×D47—24no—
196C2×Q8×D47—42no—
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C2×D4×D47—24no—
201C2×D4×D47—24no—
202C2×D4×D47—42no—
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
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
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094019—24no—
223#13094019—24no—
224#13094019—24no—
225#13094018—24no—
226#13094017—24no—
227#13094017—24no—
228#13094017—24no—
229#13094013—24no—
230#13094012—24no—
231#13094011—24no—
232#13094010—24no—
233#13094010—24no—
234#13094010—24no—
235#13094010—24no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C4⋊C4×D47—24no—
258C4⋊C4×D47—24no—
259C4⋊C4×D47—24no—
260C4⋊C4×D47—24no—
261C4⋊C4×D47—24no—
262C4⋊C4×D47—24no—
263C4⋊C4×D47—42no—
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
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—24no—
299C22⋊C4×D47—24no—
300C22⋊C4×D47—24no—
301C22⋊C4×D47—24no—
302C22⋊C4×D47—24no—
303C22⋊C4×D47—24no—
304C22⋊C4×D47—24no—
305C22⋊C4×D47—24no—
306C22⋊C4×D47—42no—
307C22⋊C4×D47D418yes—
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C42×D47—24no—
321C42×D47—24no—
322C42×D47—24no—
323C42×D47—42no—
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
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×Q8×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357#126×C47—24no—
358#124×C47—24no—
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47C2×D414yes—
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C2×Q8×C47—22no—
411C2×Q8×C47—22no—
412C2×Q8×C47—41no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—41no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—41no—
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—41no—
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454Q8×D47—416no—
455D4×D47—416no—
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—41no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
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—416no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47C2×D414yes—
500C2×C4×D47C2×D414yes—
501C2×C4×D47#4114yes—
502C2×C4×D47#4114yes—
503C2×C4×D47#4114yes—
504C2×C4×D47#4114yes—
505C2×Dic94—22no—
506C2×Dic94—22no—
507C2×Dic94—22no—
508C2×Dic94—22no—
509C2×Dic94—22no—
510C2×Dic94—22no—
511C2×Dic94—41no—
512C2×Dic94—41no—
513C2×Dic94—41no—
514C4⋊C4×C47—22no—
515C4⋊C4×C47—22no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—41no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47C2×D414yes—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—22no—
535C42×C47—41no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—41no—
546C22⋊Dic47C2×D414yes—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4C2×D414yes—
568(C2×D47)⋊C4C2×D414yes—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—22no—
572C4⋊Dic47—22no—
573C4⋊Dic47—22no—
574C4⋊Dic47—22no—
575C4⋊Dic47—41no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—41no—
600C4×Dic47—41no—
601C4×Dic47—41no—
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×C47C22×D412yes—
616C23×C47C2511yescharacteristic
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—28no—
624C22×D47—28no—
625C22×D47—28no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—44no—
634C22×D47—44no—
635C22×D47—44no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47C22×D412yes—
645C22×D47C22×D412yes—
646C22×D47C2×#4112yes—
647C22×D47C2×#4112yes—
648C22×D47C2×#4112yes—
649C22×D47C2×#4112yes—
650C22×D47H(5,𝔽2)12yes—
651C22×D472−1+412yes—
652Q8×C47—44no—
653D4×C47—44no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
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—44no—
688C2×C4×C47C22×D412yes—
689C2×C4×C47C22×D412yes—
690C2×C4×C47C2×#4112yes—
691C2×C4×C47C2×#4112yes—
692C2×C4×C47C2×#4112yes—
693C2×C4×C47C2×#4112yes—
694C22⋊D47—44no—
695C22⋊D47—44no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
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—44no—
730C2×Dic47C22×D412yes—
731C2×Dic47C22×D412yes—
732C2×Dic47C2×#4112yes—
733C2×Dic47C2×#4112yes—
734C2×Dic47C2×#4112yes—
735C2×Dic47C2×#4112yes—
736D188—44no—
737C4×D47—28no—
738C4×D47—28no—
739C4×D47—28no—
740C4×D47—28no—
741C4×D47—28no—
742C4×D47—28no—
743C4×D47—44no—
744C4×D47—44no—
745C4×D47—44no—
746C4×D47—44no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750C4×D47—44no—
751C4×D47—44no—
752Dic94—44no—
753Dic94—44no—
754Dic94—44no—
755C2×#2521—471nomaximal, Sylow
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—22no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47C23×D411yescharacteristic
771C22×C47C22×#4111yescharacteristic
772C22×C47C22×#4111yescharacteristic
773C22×C47C22×#4111yescharacteristic
774C22×C47C22×#4111yescharacteristic
775C22×C47C2×H(5,𝔽2)11yescharacteristic
776C22×C47C2×2−1+411yescharacteristic
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—416no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—88no—
793C2×D47#52914yes—
794C2×D47#53214yes—
795C2×D47#54214yes—
796C2×D47#54614yes—
797C2×D47#54714yes—
798C2×D47#55114yes—
799C2×D47#55614yes—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—22no—
803C4×C47—22no—
804C4×C47—22no—
805C4×C47—22no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813Dic47—22no—
814Dic47—22no—
815Dic47—22no—
816Dic47—22no—
817Dic47—22no—
818Dic47—22no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826C22×#126—471no—
827C22×#124—471no—
828#2521—471no—
829#2521—471no—
830#2521—471no—
831#2521—471no—
832#2521—471no—
833#2521—471no—
834#2521—471no—
835#2521—471no—
836#2521—471no—
837#2521—471no—
838#2521—471no—
839#2521—471no—
840#2521—471no—
841#2521—471no—
842#2521—471no—
843#2521D4711yescharacteristic, direct product factor
844C2×#399—471no—
845C2×#397—471no—
846C2×#395—471no—
847C2×#394—471no—
848C2×#391—471no—
849C2×#388—471no—
850C2×#388—471no—
851C2×#388—471no—
852C2×#387—471no—
853C2×#386—471no—
854C2×#380—471no—
855C2×C4×C4⋊C4—471no—
856C2×C4×C22⋊C4—471no—
857C2×C47—42no—
858C2×C47—81no—
859C2×C47C2×#52911yescharacteristic
860C2×C47C2×#53211yescharacteristic
861C2×C47C2×#54211yescharacteristic
862C2×C47C2×#54611yescharacteristic
863C2×C47C2×#54711yescharacteristic
864C2×C47C2×#55111yescharacteristic
865C2×C47C2×#55611yescharacteristic
866D47—42no—
867D47—81no—
868D47#252118yesdirect product factor
869C23×Q8—471no—
870C23×D4—471no—
871C24×C4—471no—
872C2×#126—471no—
873C2×#126—471no—
874C2×#126—471no—
875C2×#126—471no—
876C2×#126—471no—
877C2×#126—471no—
878C2×#126—471no—
879C2×#126—948no—
880C2×#126C2×D4711yescharacteristic, complemented
881C2×#124—471no—
882C2×#124—471no—
883C2×#124—471no—
884C2×#124—471no—
885C2×#124—471no—
886C2×#124—471no—
887C2×#124—471no—
888C2×#124—948no—
889C2×#124C2×D4711yescharacteristic
890C22×C4⋊C4—471no—
891C22×C4⋊C4—471no—
892C22×C4⋊C4—471no—
893C22×C4⋊C4—471no—
894C22×C4⋊C4—471no—
895C22×C4⋊C4—471no—
896C22×C4⋊C4—471no—
897C22×C22⋊C4—471no—
898C22×C22⋊C4—471no—
899C22×C22⋊C4—471no—
900C22×C22⋊C4—471no—
901C22×C22⋊C4—471no—
902C22×C22⋊C4—471no—
903C22×C22⋊C4—471no—
904C22×C22⋊C4—471no—
905C22×C22⋊C4—471no—
906C22×C22⋊C4—471no—
907C22×C22⋊C4—471no—
908C22×C42—471no—
909C22×C42—471no—
910C22×C42—471no—
911C22×C42—471no—
912#399—471no—
913#399—471no—
914#399—471no—
915#399—471no—
916#399—471no—
917#399—471no—
918#399—471no—
919#399C2×D4711yescharacteristic, complemented
920#397—471no—
921#397—471no—
922#397—471no—
923#397—471no—
924#397—471no—
925#397—471no—
926#397—471no—
927#397C2×D4711yescharacteristic, complemented
928#395—471no—
929#395—471no—
930#395—471no—
931#395—471no—
932#395—471no—
933#395—471no—
934#395—471no—
935#395C2×D4711yescharacteristic, complemented
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394C2×D4711yescharacteristic
944#391—471no—
945#391—471no—
946#391—471no—
947#391—471no—
948#391—471no—
949#391—471no—
950#391—471no—
951#391C2×D4711yescharacteristic, complemented
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388C2×D4711yescharacteristic, complemented
974#388C2×D4711yescharacteristic, complemented
975#388C2×D4711yescharacteristic, complemented
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387C2×D4711yescharacteristic, complemented
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386C2×D4711yescharacteristic
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998#380—471no—
999#380C2×D4711yescharacteristic, complemented
1000C4×C4⋊C4—471no—
1001C4×C4⋊C4—471no—
1002C4×C4⋊C4—471no—
1003C4×C4⋊C4—471no—
1004C4×C4⋊C4—471no—
1005C4×C4⋊C4—471no—
1006C4×C4⋊C4—471no—
1007C4×C4⋊C4C2×D4711yescharacteristic, complemented
1008C4×C22⋊C4—471no—
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4—471no—
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4C2×D4711yescharacteristic, complemented
1016C2×#95—471no—
1017C2×#95—471no—
1018C2×#95—471no—
1019C2×#95—471no—
1020C2×#95—471no—
1021C2×#95—471no—
1022C2×#95—471no—
1023C2×#95—471no—
1024C2×#95—471no—
1025C2×#95—471no—
1026C47C2×#252111yescharacteristic, complemented, Sylow
1027C25—471no—
1028C25—471no—
1029C22×Q8—471no—
1030C22×Q8—471no—
1031C22×Q8—471no—
1032C22×Q8—944no—
1033C22×Q8—944no—
1034C22×Q8—1882no—
1035C22×Q8C22×D4711yescharacteristic
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—944no—
1040C22×D4—944no—
1041C22×D4—1882no—
1042C22×D4C22×D4711yescharacteristic
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—944no—
1060C23×C4—944no—
1061C23×C4—1882no—
1062C23×C4C22×D4711yescharacteristic
1063#126—24no—
1064#126—944no—
1065#126—944no—
1066#126—944no—
1067#126—944no—
1068#126—944no—
1069#126—944no—
1070#126—944no—
1071#124—24no—
1072#124—944no—
1073#124—944no—
1074#124—944no—
1075#124—944no—
1076#124—944no—
1077#124—944no—
1078#124—944no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊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—944no—
1101C2×C4⋊C4—944no—
1102C2×C4⋊C4—944no—
1103C2×C4⋊C4—944no—
1104C2×C4⋊C4—944no—
1105C2×C4⋊C4—944no—
1106C2×C4⋊C4—1882no—
1107C2×C4⋊C4C22×D4711yescharacteristic
1108C2×C4⋊C4C22×D4711yescharacteristic
1109C2×C4⋊C4C22×D4711yescharacteristic
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C4⋊C4C22×D4711yescharacteristic
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—478no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
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—944no—
1149C2×C22⋊C4—944no—
1150C2×C22⋊C4—944no—
1151C2×C22⋊C4—944no—
1152C2×C22⋊C4—944no—
1153C2×C22⋊C4—944no—
1154C2×C22⋊C4—944no—
1155C2×C22⋊C4—944no—
1156C2×C22⋊C4—944no—
1157C2×C22⋊C4—1882no—
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C42—471no—
1170C2×C42—471no—
1171C2×C42—471no—
1172C2×C42—471no—
1173C2×C42—471no—
1174C2×C42—471no—
1175C2×C42—471no—
1176C2×C42—471no—
1177C2×C42—471no—
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—944no—
1182C2×C42—944no—
1183C2×C42—944no—
1184C2×C42—1882no—
1185C2×C42C22×D4711yescharacteristic
1186C2×C42C22×D4711yescharacteristic
1187C2×C42C22×D4711yescharacteristic
1188C2×C42C22×D4711yescharacteristic
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
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#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223#95C22×D4711yescharacteristic
1224#95C22×D4711yescharacteristic
1225#95C22×D4711yescharacteristic
1226#95C22×D4711yescharacteristic
1227#95C22×D4711yescharacteristic
1228#95C22×D4711yescharacteristic
1229C24—471no—
1230C24—474no—
1231C24—471no—
1232C24—471no—
1233C24—942no—
1234C24—942no—
1235C24—942no—
1236C24—942no—
1237C24—942no—
1238C24—942no—
1239C24—942no—
1240C24—942no—
1241C24—942no—
1242C24—942no—
1243C24—942no—
1244C24—942no—
1245C24—942no—
1246C24C23×D4711yescharacteristic
1247C24C23×D4711yescharacteristic
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—942no—
1252C2×Q8—942no—
1253C2×Q8—942no—
1254C2×Q8—942no—
1255C2×Q8—942no—
1256C2×Q8—942no—
1257C2×Q8—1881no—
1258C2×Q8—1881no—
1259C2×Q8—1881no—
1260C2×Q8—18816no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—41no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—942no—
1269C2×D4—942no—
1270C2×D4—1881no—
1271C2×D4—18816no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—474no—
1284C22×C4—474no—
1285C22×C4—474no—
1286C22×C4—474no—
1287C22×C4—474no—
1288C22×C4—474no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
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—1881no—
1336C22×C4—1881no—
1337C22×C4—18816no—
1338C22×C4—1881no—
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C22×C4C23×D4711yescharacteristic
1345C22×C4C23×D4711yescharacteristic
1346C22×C4C23×D4711yescharacteristic
1347C22×C4C23×D4711yescharacteristic
1348C22×C4C23×D4711yescharacteristic
1349C22×C4C23×D4711yescharacteristic
1350C22×C4C23×D4711yescharacteristic
1351C22×C4C23×D4711yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—41no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—942no—
1366C4⋊C4—942no—
1367C4⋊C4—942no—
1368C4⋊C4—942no—
1369C4⋊C4—942no—
1370C4⋊C4—942no—
1371C4⋊C4—942no—
1372C4⋊C4—942no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C4⋊C4—942no—
1376C4⋊C4—942no—
1377C4⋊C4—1881no—
1378C4⋊C4—1881no—
1379C4⋊C4—1881no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—474no—
1391C22⋊C4—474no—
1392C22⋊C4—474no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4D4×D4714yes—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—942no—
1429C42—942no—
1430C42—942no—
1431C42—942no—
1432C42—942no—
1433C42—942no—
1434C42—942no—
1435C42—942no—
1436C42—942no—
1437C42—1881no—
1438C42—1881no—
1439C42—1881no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—472no—
1454C23—472no—
1455C23—472no—
1456C23—472no—
1457C23—472no—
1458C23—472no—
1459C23—472no—
1460C23—472no—
1461C23—948no—
1462C23—948no—
1463C23—948no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23—1884no—
1481C23—1884no—
1482C23—1884no—
1483C23—1884no—
1484C23—1884no—
1485C23—1884no—
1486C23—1884no—
1487C23—1884no—
1488C23C2×D4×D4712yes—
1489C23C24×D4711yescharacteristic
1490Q8—44no—
1491Q8—1884no—
1492Q8—1884no—
1493Q8—1884no—
1494D4—44no—
1495D4—1884no—
1496D4—1884no—
1497D4—1884no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—472no—
1533C2×C4—472no—
1534C2×C4—472no—
1535C2×C4—472no—
1536C2×C4—472no—
1537C2×C4—472no—
1538C2×C4—948no—
1539C2×C4—948no—
1540C2×C4—948no—
1541C2×C4—948no—
1542C2×C4—948no—
1543C2×C4—948no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4—1884no—
1587C2×C4C2×D4×D4712yes—
1588C2×C4C2×D4×D4712yes—
1589C2×C4#41×D4712yes—
1590C2×C4#41×D4712yes—
1591C2×C4#41×D4712yes—
1592C2×C4#41×D4712yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—474no—
1608C22—474no—
1609C22—474no—
1610C22—474no—
1611C22—474no—
1612C22—474no—
1613C22—474no—
1614C22—942no—
1615C22—942no—
1616C22—942no—
1617C22—3768no—
1618C22—18816no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22C22×D4×D4711yescharacteristic
1631C22C2×#41×D4711yescharacteristic
1632C22C2×#41×D4711yescharacteristic
1633C22C2×#41×D4711yescharacteristic
1634C22C2×#41×D4711yescharacteristic
1635C22H(5,𝔽2)×D4711yescharacteristic
1636C222−1+4×D4711yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—942no—
1651C4—942no—
1652C4—942no—
1653C4—942no—
1654C4—942no—
1655C4—942no—
1656C4—1881no—
1657C4—1881no—
1658C4—1881no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C4—1881no—
1663C2—42no—
1664C2—81no—
1665C2—478no—
1666C2—3761no—
1667C2—1882no—
1668C2#529×D4711yescharacteristic
1669C2#532×D4711yescharacteristic
1670C2#542×D4711yescharacteristic
1671C2#546×D4711yescharacteristic
1672C2#547×D4711yescharacteristic
1673C2#551×D4711yescharacteristic
1674C2#556×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2521C2
prime radicalC22×D4×D47C22
hypercenter#2521D47
hypocenterC47C2×#2521
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#126×D47C2semidirect
3. #20248098C2semidirect
4. #20248097C2semidirect
5. #20248096C2semidirect
6. #20248095C2semidirect
7. #20248094C2semidirect
8. #20248093C2semidirect
9. #20248092C2semidirect
10. #20248091C2semidirect
11. #20248090C2semidirect
12. #20248089C2semidirect
13. #20248088C2semidirect
14. #20248087C2semidirect
15. #20248086C2semidirect
16. #20248085C2semidirect
17. #20248084C2semidirect
18. #399×D47C2semidirect
19. #397×D47C2semidirect
20. #395×D47C2semidirect
22. #391×D47C2semidirect
23. #388×D47C2semidirect
24. #388×D47C2semidirect
25. #388×D47C2semidirect
26. #387×D47C2semidirect
28. #380×D47C2semidirect
29. C4×C4⋊C4×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2521C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094019C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094018C22semidirect
39. C2×#13094017C22semidirect
40. C2×#13094017C22semidirect
41. C2×#13094017C22semidirect
73. #15689060C22semidirect
74. #15689059C22semidirect
75. #15689059C22semidirect
76. #15689059C22semidirect
77. #15689058C22semidirect
78. #15689058C22semidirect
79. #15689058C22semidirect
80. #15689052C22semidirect
81. #15689052C22semidirect
82. #15689051C22semidirect
83. #15689051C22semidirect
84. #15689050C22semidirect
85. #15689049C22semidirect
86. #15689048C22semidirect
87. #15689044C22semidirect
88. #15689044C22semidirect
89. #15689044C22semidirect
90. #15689043C22semidirect
91. #15689043C22semidirect
92. #15689043C22semidirect
93. #15689042C22semidirect
101. #15689030C22semidirect
102. #15689029C22semidirect
103. #15689028C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689027C22semidirect
107. #15689027C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689017C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689015C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689013C22semidirect
121. #15689013C22semidirect
122. #15689013C22semidirect
123. #15689012C22semidirect
124. #15689012C22semidirect
125. #15689012C22semidirect
126. #15689011C22semidirect
127. #15689011C22semidirect
128. #15689011C22semidirect
129. #15689010C22semidirect
130. #15689009C22semidirect
131. #15689008C22semidirect
132. #15689007C22semidirect
133. #15689006C22semidirect
134. #15689005C22semidirect
135. #15689004C22semidirect
143. #15688983C22semidirect
144. #15688982C22semidirect
145. #15688982C22semidirect
146. #15688981C22semidirect
147. #15688981C22semidirect
148. #15688980C22semidirect
149. #15688980C22semidirect
150. C4⋊C4×Dic47C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4×Dic47⋊C4C22semidirect
153. C4×Dic47⋊C4C22semidirect
154. C4×C4⋊Dic47C22semidirect
155. #15688974C22semidirect
156. #15688974C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C4×(C2×D47)⋊C4C22semidirect
160. C4×(C2×D47)⋊C4C22semidirect
161. C4×C22⋊Dic47C22semidirect
162. #15688970C22semidirect
163. #15688970C22semidirect
174. C2×#126×C47C22semidirect
176. C47×#399C22semidirect
177. C47×#397C22semidirect
178. C47×#395C22semidirect
180. C47×#391C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
184. C47×#387C22semidirect
186. C47×#380C22semidirect
187. C4×C4⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
843. #2521D47direct (N × H)
868. D47#2521direct (N × H)
880. C2×#126C2×D47semidirect
919. #399C2×D47semidirect
927. #397C2×D47semidirect
935. #395C2×D47semidirect
951. #391C2×D47semidirect
973. #388C2×D47semidirect
974. #388C2×D47semidirect
975. #388C2×D47semidirect
983. #387C2×D47semidirect
999. #380C2×D47semidirect
1007. C4×C4⋊C4C2×D47semidirect
1015. C4×C22⋊C4C2×D47semidirect
1026. C47C2×#2521semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D472
C2×#124×D472
#202480982
#202480972
#202480962
#202480952
#202480942
#202480932
#202480922
#202480912
#202480902
#202480892
#202480882
#202480872
#202480862
#202480852
#202480842
#399×D472
#397×D472
#395×D472
#394×D472
#391×D472
#388×D472
#387×D472
#386×D472
#380×D472
C4×C4⋊C4×D472
C4×C22⋊C4×D472
C47×#25212
C2×#252147