Finite Group Databasebeta

← D47×#2477 #26384706

Subgroups — D47×#2477 #26384706

Order 12032.

3070 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
2C2×#117×D47C211yesmaximal, characteristic, complemented
3#20247596C211yesmaximal, characteristic, complemented
4#20247595C211yesmaximal, characteristic, complemented
5#20247594C211yesmaximal, characteristic, complemented
6#20247593C211yesmaximal, characteristic, complemented
7#20247592C211yesmaximal, characteristic, complemented
8#20247591C211yesmaximal, characteristic, complemented
9#20247590C211yesmaximal, characteristic, complemented
10#20247589C211yesmaximal, characteristic, complemented
11#20247588C211yesmaximal, characteristic, complemented
12#20247587C211yesmaximal, characteristic, complemented
13#20247586C211yesmaximal, characteristic, complemented
14#20247585C211yesmaximal, characteristic, complemented
15#20247584C211yesmaximal, characteristic, complemented
16#20247583C211yesmaximal, characteristic, complemented
17#20247582C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#397×D47C211yesmaximal, characteristic, complemented
20#394×D47C211yesmaximal, characteristic
21#393×D47C211yesmaximal, characteristic, complemented
22#391×D47C211yesmaximal, characteristic, complemented
23#388×D47C211yesmaximal, characteristic, complemented
24#388×D47C211yesmaximal, characteristic, complemented
25#387×D47C211yesmaximal, characteristic, complemented
26#387×D47C211yesmaximal, characteristic, complemented
27#386×D47C211yesmaximal, characteristic
28#386×D47C211yesmaximal, characteristic
29#385×D47C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2477C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C2×#13094004C2211yescharacteristic, complemented
37C2×#13094003C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13094001C2211yescharacteristic, complemented
41C2×#13094001C2211yescharacteristic, complemented
42C2×#13094000C2211yescharacteristic, complemented
43C22⋊Q8×D47—28no—
44C2×#13093983C2211yescharacteristic, complemented
45C2×#13093982C2211yescharacteristic, complemented
46C2×#13093982C2211yescharacteristic, complemented
47C2×#13093981C2211yescharacteristic, complemented
48C2×#13093981C2211yescharacteristic, complemented
49C2×#13093980C2211yescharacteristic, complemented
50C2×#13093980C2211yescharacteristic, complemented
51#117×D47—28no—
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×C42×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689063C2211yescharacteristic, complemented
76#15689062C2211yescharacteristic, complemented
77#15689061C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689050C2211yescharacteristic, complemented
83#15689049C2211yescharacteristic, complemented
84#15689048C2211yescharacteristic, complemented
85#15689041C2211yescharacteristic
86#15689040C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689036C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689035C2211yescharacteristic, complemented
98#15689034C2211yescharacteristic, complemented
99#15689030C2211yescharacteristic, complemented
100#15689029C2211yescharacteristic, complemented
101#15689028C2211yescharacteristic, complemented
102#15689027C2211yescharacteristic, complemented
103#15689027C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic, complemented
120#15689010C2211yescharacteristic, complemented
121#15689010C2211yescharacteristic, complemented
122#15689009C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689008C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689007C2211yescharacteristic, complemented
128#15689006C2211yescharacteristic, complemented
129#15689006C2211yescharacteristic, complemented
130#15689005C2211yescharacteristic, complemented
131#15689005C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689004C2211yescharacteristic, complemented
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688998C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688995C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155C22⋊C4×Dic47C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic47C2211yescharacteristic, complemented
160#15688970C2211yescharacteristic, complemented
161#15688970C2211yescharacteristic, complemented
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
173#95×D47C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×#117×C47C2211yescharacteristic, complemented
176C47×#400C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#387C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic, 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
204C23×Dic47C2311yescharacteristic
205C22×C4×D47—24no—
206C22×C4×D47—24no—
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47—24no—
210C22×C4×D47—42no—
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
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094004—24no—
229#13094003—24no—
230#13094002—24no—
231#13094002—24no—
232#13094001—24no—
233#13094001—24no—
234#13094000—24no—
235#13093983—24no—
236#13093982—24no—
237#13093982—24no—
238#13093981—24no—
239#13093981—24no—
240#13093980—24no—
241#13093980—24no—
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
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
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C4⋊C4×D47—24no—
261C4⋊C4×D47—24no—
262C4⋊C4×D47—24no—
263C4⋊C4×D47—24no—
264C4⋊C4×D47—42no—
265C4⋊C4×D47D418yescomplemented
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×C22⋊Dic47C2311yescharacteristic
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
296C22⋊C4×D47—24no—
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—42no—
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C42×D47—24no—
316C42×D47—24no—
317C42×D47—42no—
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
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
357C23×C4×C47C2311yescharacteristic
358C22⋊Q8×C47—24no—
359#117×C47—24no—
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×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×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#4114yes—
406C23×D47#4114yes—
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—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—41no—
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
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—41no—
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460Q8×D47—416no—
461D4×D47—416no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—41no—
465C2×C4×D47—232no—
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—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—416no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47C2×D414yes—
514C2×C4×D47C2×D414yes—
515C2×C4×D47C2×D414yes—
516C2×C4×D47#4114yes—
517C2×C4×D47#4114yes—
518C2×Dic94—22no—
519C2×Dic94—22no—
520C2×Dic94—22no—
521C2×Dic94—22no—
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—41no—
525C2×Dic94—41no—
526C2×Dic94—41no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—22no—
530C4⋊C4×C47—22no—
531C4⋊C4×C47—41no—
532C4⋊C4×C47C2×D414yescomplemented
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—41no—
543C42×C47—22no—
544C42×C47—22no—
545C42×C47—41no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—41no—
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—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—41no—
581C4⋊Dic47C2×D414yescomplemented
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4C2×D414yescomplemented
593Dic47⋊C4C2×D414yescomplemented
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—41no—
601C4×Dic47—41no—
602C4×Dic47—41no—
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×C47C2×#4112yes—
616C23×C47C2×#4112yes—
617C23×C47C2511yescharacteristic
618C22×D47—21no—
619C22×D47—21no—
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—28no—
631C22×D47—28no—
632C22×D47—28no—
633C22×D47—28no—
634C22×D47—28no—
635C22×D47—28no—
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×D47C2×#4112yes—
646C22×D47C2×#4112yes—
647C22×D47C2×#4112yes—
648C22×D47C2×#4112yes—
649C22×D47C2×#4112yes—
650C22×D47C2×#4112yes—
651C22×D47H(5,𝔽2)12yes—
652C22×D472−1+412yes—
653Q8×C47—44no—
654D4×C47—44no—
655C2×C4×C47—28no—
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—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—44no—
691C2×C4×C47C22×D412yes—
692C2×C4×C47C22×D412yes—
693C2×C4×C47C22×D412yes—
694C2×C4×C47C2×#4112yes—
695C2×C4×C47C2×#4112yes—
696C22⋊D47—44no—
697C22⋊D47—44no—
698C2×Dic47—28no—
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—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—44no—
734C2×Dic47C22×D412yes—
735C2×Dic47C22×D412yes—
736C2×Dic47C22×D412yes—
737C2×Dic47C2×#4112yes—
738C2×Dic47C2×#4112yes—
739D188—44no—
740C4×D47—28no—
741C4×D47—28no—
742C4×D47—28no—
743C4×D47—28no—
744C4×D47—28no—
745C4×D47—28no—
746C4×D47—28no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750C4×D47—44no—
751C4×D47—44no—
752C4×D47—44no—
753C4×D47—44no—
754C4×D47—44no—
755C4×D47—44no—
756C4×D47—44no—
757Dic94—44no—
758Dic94—44no—
759Dic94—44no—
760C2×#2477—471nomaximal, Sylow
761C22×C47—22no—
762C22×C47—22no—
763C22×C47—22no—
764C22×C47—22no—
765C22×C47—22no—
766C22×C47—22no—
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×C47C23×D411yescharacteristic
776C22×C47C22×#4111yescharacteristic
777C22×C47C22×#4111yescharacteristic
778C22×C47C22×#4111yescharacteristic
779C22×C47C22×#4111yescharacteristic
780C22×C47C2×H(5,𝔽2)11yescharacteristic
781C22×C47C2×2−1+411yescharacteristic
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—22no—
785C2×D47—22no—
786C2×D47—22no—
787C2×D47—22no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—416no—
797C2×D47—416no—
798C2×D47#52514yes—
799C2×D47#52914yes—
800C2×D47#54214yes—
801C2×D47#54614yes—
802C2×D47#54814yes—
803C2×D47#55114yes—
804C2×D47#55214yes—
805C4×C47—22no—
806C4×C47—22no—
807C4×C47—22no—
808C4×C47—22no—
809C4×C47—22no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818Dic47—22no—
819Dic47—22no—
820Dic47—22no—
821Dic47—22no—
822Dic47—22no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829Dic47—41no—
830Dic47—41no—
831C22×C22⋊Q8—471no—
832C22×#117—471no—
833#2477—471no—
834#2477—471no—
835#2477—471no—
836#2477—471no—
837#2477—471no—
838#2477—471no—
839#2477—471no—
840#2477—471no—
841#2477—471no—
842#2477—471no—
843#2477—471no—
844#2477—471no—
845#2477—471no—
846#2477—471no—
847#2477—471no—
848#2477D4711yescharacteristic, direct product factor
849C2×#400—471no—
850C2×#397—471no—
851C2×#394—471no—
852C2×#393—471no—
853C2×#391—471no—
854C2×#388—471no—
855C2×#388—471no—
856C2×#387—471no—
857C2×#387—471no—
858C2×#386—471no—
859C2×#386—471no—
860C2×#385—471no—
861C2×C4×C22⋊C4—471no—
862C2×C47—42no—
863C2×C47—42no—
864C2×C47C2×#52511yescharacteristic
865C2×C47C2×#52911yescharacteristic
866C2×C47C2×#54211yescharacteristic
867C2×C47C2×#54611yescharacteristic
868C2×C47C2×#54811yescharacteristic
869C2×C47C2×#55111yescharacteristic
870C2×C47C2×#55211yescharacteristic
871D47—42no—
872D47—42no—
873D47#247718yesdirect product factor
874C23×Q8—471no—
875C23×D4—471no—
876C24×C4—471no—
877C24×C4—471no—
878C2×C22⋊Q8—471no—
879C2×C22⋊Q8—471no—
880C2×C22⋊Q8—471no—
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—948no—
886C2×C22⋊Q8C2×D4711yescharacteristic, complemented
887C2×#117—471no—
888C2×#117—471no—
889C2×#117—471no—
890C2×#117—471no—
891C2×#117—471no—
892C2×#117—471no—
893C2×#117—471no—
894C2×#117—948no—
895C2×#117C2×D4711yescharacteristic, complemented
896C22×C4⋊C4—471no—
897C22×C4⋊C4—471no—
898C22×C4⋊C4—471no—
899C22×C4⋊C4—471no—
900C22×C4⋊C4—471no—
901C22×C4⋊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×C22⋊C4—471no—
909C22×C22⋊C4—471no—
910C22×C22⋊C4—471no—
911C22×C22⋊C4—471no—
912C22×C42—471no—
913C22×C42—471no—
914C22×C42—471no—
915#400—471no—
916#400—471no—
917#400—471no—
918#400—471no—
919#400—471no—
920#400—471no—
921#400—471no—
922#400C2×D4711yescharacteristic, complemented
923#397—471no—
924#397—471no—
925#397—471no—
926#397—471no—
927#397—471no—
928#397—471no—
929#397—471no—
930#397C2×D4711yescharacteristic, complemented
931#394—471no—
932#394—471no—
933#394—471no—
934#394—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394C2×D4711yescharacteristic
939#393—471no—
940#393—471no—
941#393—471no—
942#393—471no—
943#393—471no—
944#393—471no—
945#393—471no—
946#393C2×D4711yescharacteristic, complemented
947#391—471no—
948#391—471no—
949#391—471no—
950#391—471no—
951#391—471no—
952#391—471no—
953#391—471no—
954#391C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic, complemented
970#388C2×D4711yescharacteristic, complemented
971#387—471no—
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387C2×D4711yescharacteristic, complemented
986#387C2×D4711yescharacteristic, complemented
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386C2×D4711yescharacteristic
1002#386C2×D4711yescharacteristic
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385C2×D4711yescharacteristic, complemented
1011C4×C22⋊C4—471no—
1012C4×C22⋊C4—471no—
1013C4×C22⋊C4—471no—
1014C4×C22⋊C4—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4—471no—
1018C4×C22⋊C4C2×D4711yescharacteristic, complemented
1019C2×#95—471no—
1020C2×#95—471no—
1021C2×#95—471no—
1022C2×#95—471no—
1023C2×#95—471no—
1024C2×#95—471no—
1025C2×#95—471no—
1026C2×#95—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C2×#95—471no—
1030C2×#95—471no—
1031C47C2×#247711yescharacteristic, complemented, Sylow
1032C25—471no—
1033C25—471no—
1034C22×Q8—471no—
1035C22×Q8—471no—
1036C22×Q8—471no—
1037C22×Q8—944no—
1038C22×Q8—944no—
1039C22×Q8—1882no—
1040C22×Q8C22×D4711yescharacteristic
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—944no—
1045C22×D4—944no—
1046C22×D4—1882no—
1047C22×D4C22×D4711yescharacteristic
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—471no—
1060C23×C4—471no—
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—944no—
1068C23×C4—944no—
1069C23×C4—944no—
1070C23×C4—944no—
1071C23×C4—944no—
1072C23×C4—1882no—
1073C23×C4C22×D4711yescharacteristic
1074C23×C4C22×D4711yescharacteristic
1075C22⋊Q8—24no—
1076C22⋊Q8—944no—
1077C22⋊Q8—944no—
1078C22⋊Q8—944no—
1079C22⋊Q8—944no—
1080C22⋊Q8—944no—
1081C22⋊Q8—944no—
1082C22⋊Q8—944no—
1083#117—24no—
1084#117—944no—
1085#117—944no—
1086#117—944no—
1087#117—944no—
1088#117—944no—
1089#117—944no—
1090#117—944no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—478no—
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—944no—
1112C2×C4⋊C4—944no—
1113C2×C4⋊C4—944no—
1114C2×C4⋊C4—1882no—
1115C2×C4⋊C4C22×D4711yescharacteristic
1116C2×C4⋊C4C22×D4711yescharacteristic
1117C2×C4⋊C4C22×D4711yescharacteristic
1118C2×C4⋊C4C22×D4711yescharacteristic
1119C2×C4⋊C4C22×D4711yescharacteristic
1120C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
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—944no—
1158C2×C22⋊C4—944no—
1159C2×C22⋊C4—944no—
1160C2×C22⋊C4—1882no—
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×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
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—944no—
1181C2×C42—944no—
1182C2×C42—1882no—
1183C2×C42C22×D4711yescharacteristic
1184C2×C42C22×D4711yescharacteristic
1185C2×C42C22×D4711yescharacteristic
1186#95—471no—
1187#95—471no—
1188#95—471no—
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#95—471no—
1220#95—471no—
1221#95—471no—
1222#95C22×D4711yescharacteristic
1223#95C22×D4711yescharacteristic
1224#95C22×D4711yescharacteristic
1225#95C22×D4711yescharacteristic
1226#95C22×D4711yescharacteristic
1227#95C22×D4711yescharacteristic
1228#95C22×D4711yescharacteristic
1229#95C22×D4711yescharacteristic
1230#95C22×D4711yescharacteristic
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234C24—471no—
1235C24—474no—
1236C24—474no—
1237C24—471no—
1238C24—471no—
1239C24—942no—
1240C24—942no—
1241C24—942no—
1242C24—942no—
1243C24—942no—
1244C24—942no—
1245C24—942no—
1246C24—942no—
1247C24—942no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24C23×D4711yescharacteristic
1252C24C23×D4711yescharacteristic
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—41no—
1256C2×Q8—942no—
1257C2×Q8—942no—
1258C2×Q8—942no—
1259C2×Q8—942no—
1260C2×Q8—942no—
1261C2×Q8—942no—
1262C2×Q8—1881no—
1263C2×Q8—1881no—
1264C2×Q8—1881no—
1265C2×Q8—18816no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—41no—
1269C2×D4—942no—
1270C2×D4—942no—
1271C2×D4—942no—
1272C2×D4—942no—
1273C2×D4—942no—
1274C2×D4—942no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—18816no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—474no—
1291C22×C4—474no—
1292C22×C4—474no—
1293C22×C4—474no—
1294C22×C4—474no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
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—9432no—
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×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—18816no—
1356C22×C4—1881no—
1357C22×C4C23×D4711yescharacteristic
1358C22×C4C23×D4711yescharacteristic
1359C22×C4C23×D4711yescharacteristic
1360C22×C4C23×D4711yescharacteristic
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4711yescharacteristic
1364C22×C4C23×D4711yescharacteristic
1365C22×C4C23×D4711yescharacteristic
1366C22×C4C23×D4711yescharacteristic
1367C22×C4C23×D4711yescharacteristic
1368C22×C4C23×D4711yescharacteristic
1369C22×C4C23×D4711yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—41no—
1375C4⋊C4—474no—
1376C4⋊C4—474no—
1377C4⋊C4—474no—
1378C4⋊C4—942no—
1379C4⋊C4—942no—
1380C4⋊C4—942no—
1381C4⋊C4—942no—
1382C4⋊C4—942no—
1383C4⋊C4—942no—
1384C4⋊C4—942no—
1385C4⋊C4—942no—
1386C4⋊C4—942no—
1387C4⋊C4—942no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—1881no—
1391C4⋊C4—1881no—
1392C4⋊C4—1881no—
1393C4⋊C4D4×D4714yescomplemented
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—41no—
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—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—1881no—
1432C22⋊C4—1881no—
1433C22⋊C4—1881no—
1434C42—22no—
1435C42—22no—
1436C42—41no—
1437C42—942no—
1438C42—942no—
1439C42—942no—
1440C42—942no—
1441C42—942no—
1442C42—942no—
1443C42—1881no—
1444C42—1881no—
1445C42—1881no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—472no—
1459C23—472no—
1460C23—472no—
1461C23—472no—
1462C23—472no—
1463C23—472no—
1464C23—472no—
1465C23—472no—
1466C23—472no—
1467C23—948no—
1468C23—948no—
1469C23—948no—
1470C23—948no—
1471C23—948no—
1472C23—948no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23—941no—
1481C23—941no—
1482C23—941no—
1483C23—941no—
1484C23—941no—
1485C23—1884no—
1486C23—1884no—
1487C23—1884no—
1488C23—1884no—
1489C23—1884no—
1490C23—1884no—
1491C23—1884no—
1492C23—1884no—
1493C23#41×D4712yes—
1494C23#41×D4712yes—
1495C23C24×D4711yescharacteristic
1496Q8—44no—
1497Q8—1884no—
1498Q8—1884no—
1499Q8—1884no—
1500D4—44no—
1501D4—1884no—
1502D4—1884no—
1503D4—1884no—
1504C2×C4—28no—
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—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—472no—
1541C2×C4—472no—
1542C2×C4—472no—
1543C2×C4—472no—
1544C2×C4—472no—
1545C2×C4—948no—
1546C2×C4—948no—
1547C2×C4—948no—
1548C2×C4—948no—
1549C2×C4—948no—
1550C2×C4—948no—
1551C2×C4—948no—
1552C2×C4—948no—
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—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—1884no—
1588C2×C4—1884no—
1589C2×C4—1884no—
1590C2×C4—1884no—
1591C2×C4—1884no—
1592C2×C4—1884no—
1593C2×C4—1884no—
1594C2×C4—1884no—
1595C2×C4—1884no—
1596C2×C4—1884no—
1597C2×C4—1884no—
1598C2×C4C2×D4×D4712yes—
1599C2×C4C2×D4×D4712yes—
1600C2×C4C2×D4×D4712yes—
1601C2×C4#41×D4712yes—
1602C2×C4#41×D4712yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—474no—
1618C22—474no—
1619C22—474no—
1620C22—474no—
1621C22—474no—
1622C22—474no—
1623C22—474no—
1624C22—942no—
1625C22—942no—
1626C22—942no—
1627C22—942no—
1628C22—942no—
1629C22—942no—
1630C22—18816no—
1631C22—18816no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22—1881no—
1640C22C22×D4×D4711yescharacteristic
1641C22C2×#41×D4711yescharacteristic
1642C22C2×#41×D4711yescharacteristic
1643C22C2×#41×D4711yescharacteristic
1644C22C2×#41×D4711yescharacteristic
1645C22H(5,𝔽2)×D4711yescharacteristic
1646C222−1+4×D4711yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—942no—
1661C4—942no—
1662C4—942no—
1663C4—942no—
1664C4—942no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C4—1881no—
1672C4—1881no—
1673C2—42no—
1674C2—42no—
1675C2—478no—
1676C2—1882no—
1677C2—1882no—
1678C2#525×D4711yescharacteristic
1679C2#529×D4711yescharacteristic
1680C2#542×D4711yescharacteristic
1681C2#546×D4711yescharacteristic
1682C2#548×D4711yescharacteristic
1683C2#551×D4711yescharacteristic
1684C2#552×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2477C2
prime radicalC22×D4×D47C22
hypercenter#2477D47
hypocenterC47C2×#2477
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D47C2semidirect
2. C2×#117×D47C2semidirect
3. #20247596C2semidirect
4. #20247595C2semidirect
5. #20247594C2semidirect
6. #20247593C2semidirect
7. #20247592C2semidirect
8. #20247591C2semidirect
9. #20247590C2semidirect
10. #20247589C2semidirect
11. #20247588C2semidirect
12. #20247587C2semidirect
13. #20247586C2semidirect
14. #20247585C2semidirect
15. #20247584C2semidirect
16. #20247583C2semidirect
17. #20247582C2semidirect
18. #400×D47C2semidirect
19. #397×D47C2semidirect
21. #393×D47C2semidirect
22. #391×D47C2semidirect
23. #388×D47C2semidirect
24. #388×D47C2semidirect
25. #387×D47C2semidirect
26. #387×D47C2semidirect
29. #385×D47C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2477C2semidirect
36. C2×#13094004C22semidirect
37. C2×#13094003C22semidirect
38. C2×#13094002C22semidirect
39. C2×#13094002C22semidirect
40. C2×#13094001C22semidirect
41. C2×#13094001C22semidirect
42. C2×#13094000C22semidirect
44. C2×#13093983C22semidirect
45. C2×#13093982C22semidirect
46. C2×#13093982C22semidirect
47. C2×#13093981C22semidirect
48. C2×#13093981C22semidirect
49. C2×#13093980C22semidirect
50. C2×#13093980C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
75. #15689063C22semidirect
76. #15689062C22semidirect
77. #15689061C22semidirect
78. #15689052C22semidirect
79. #15689052C22semidirect
80. #15689051C22semidirect
81. #15689051C22semidirect
82. #15689050C22semidirect
83. #15689049C22semidirect
84. #15689048C22semidirect
92. #15689036C22semidirect
93. #15689036C22semidirect
94. #15689036C22semidirect
95. #15689035C22semidirect
96. #15689035C22semidirect
97. #15689035C22semidirect
98. #15689034C22semidirect
99. #15689030C22semidirect
100. #15689029C22semidirect
101. #15689028C22semidirect
102. #15689027C22semidirect
103. #15689027C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689015C22semidirect
111. #15689015C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689011C22semidirect
119. #15689011C22semidirect
120. #15689010C22semidirect
121. #15689010C22semidirect
122. #15689009C22semidirect
123. #15689009C22semidirect
124. #15689008C22semidirect
125. #15689008C22semidirect
126. #15689007C22semidirect
127. #15689007C22semidirect
128. #15689006C22semidirect
129. #15689006C22semidirect
130. #15689005C22semidirect
131. #15689005C22semidirect
132. #15689004C22semidirect
133. #15689004C22semidirect
148. #15688998C22semidirect
149. #15688997C22semidirect
150. #15688997C22semidirect
151. #15688996C22semidirect
152. #15688995C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. C22⋊C4×Dic47C22semidirect
156. C22⋊C4×Dic47C22semidirect
157. C4×(C2×D47)⋊C4C22semidirect
158. C4×(C2×D47)⋊C4C22semidirect
159. C4×C22⋊Dic47C22semidirect
160. #15688970C22semidirect
161. #15688970C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
175. C2×#117×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#397C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
184. C47×#387C22semidirect
187. C47×#385C22semidirect
188. C4×C22⋊C4×C47C22semidirect
265. C4⋊C4×D47D4semidirect
532. C4⋊C4×C47C2×D4semidirect
581. C4⋊Dic47C2×D4semidirect
592. Dic47⋊C4C2×D4semidirect
593. Dic47⋊C4C2×D4semidirect
848. #2477D47direct (N × H)
873. D47#2477direct (N × H)
886. C2×C22⋊Q8C2×D47semidirect
895. C2×#117C2×D47semidirect
922. #400C2×D47semidirect
930. #397C2×D47semidirect
946. #393C2×D47semidirect
954. #391C2×D47semidirect
969. #388C2×D47semidirect
970. #388C2×D47semidirect
985. #387C2×D47semidirect
986. #387C2×D47semidirect
1010. #385C2×D47semidirect
1018. C4×C22⋊C4C2×D47semidirect
1031. C47C2×#2477semidirect
1393. C4⋊C4D4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D472
C2×#117×D472
#202475962
#202475952
#202475942
#202475932
#202475922
#202475912
#202475902
#202475892
#202475882
#202475872
#202475862
#202475852
#202475842
#202475832
#202475822
#400×D472
#397×D472
#394×D472
#393×D472
#391×D472
#388×D472
#387×D472
#386×D472
#385×D472
C4×C22⋊C4×D472
C47×#24772
C2×#247747