Finite Group Databasebeta

← #26387262

Subgroups — #26387262

Order 12032.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689651C211yesmaximal, characteristic, complemented
2C2×#117×D47C211yesmaximal, characteristic, complemented
3#20249085C211yesmaximal, characteristic, complemented
4#20249083C211yesmaximal, characteristic, complemented
5#20249074C211yesmaximal, characteristic, complemented
6#20249072C211yesmaximal, characteristic, complemented
7#20248992C211yesmaximal, characteristic, complemented
8#20248990C211yesmaximal, characteristic, complemented
9#20248984C211yesmaximal, characteristic, complemented
10#20248982C211yesmaximal, characteristic, complemented
11#20248866C211yesmaximal, characteristic, complemented
12#20248766C211yesmaximal, characteristic, complemented
13#20248544C211yesmaximal, characteristic, complemented
14#20248317C211yesmaximal, characteristic
15#20246794C211yesmaximal, characteristic, complemented
16#20246792C211yesmaximal, characteristic, complemented
17#20246772C211yesmaximal, characteristic, complemented
18#20246770C211yesmaximal, characteristic, complemented
19#20246664C211yesmaximal, characteristic, complemented
20#20246662C211yesmaximal, characteristic, complemented
21#20246632C211yesmaximal, characteristic, complemented
22#20246630C211yesmaximal, characteristic, complemented
23C4×#13094009C211yesmaximal, characteristic, complemented
24C4×#13094006C211yesmaximal, characteristic, complemented
25C4×#13093994C211yesmaximal, characteristic, complemented
26C4×#13093992C211yesmaximal, characteristic, complemented
27#20245852C211yesmaximal, characteristic, complemented
28#20245847C211yesmaximal, characteristic, complemented
29#20245847C211yesmaximal, characteristic, complemented
30C4×#13093981C211yesmaximal, characteristic, complemented
31C47×#2293C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689651—28no—
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094009C2211yescharacteristic
39C2×#13094009C2211yescharacteristic
40C2×#13094006C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094002C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic, complemented
47C2×C4×D188C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C2×#13093983C2211yescharacteristic
54C2×#13093982C2211yescharacteristic
55C2×#13093982C2211yescharacteristic
56C2×#13093981C2211yescharacteristic
57C2×#13093981C2211yescharacteristic
58C2×#13093981C2211yescharacteristic
59C2×#13093981C2211yescharacteristic
60C2×#13093981C2211yescharacteristic, complemented
61C2×#13093980C2211yescharacteristic
62C2×#13093980C2211yescharacteristic
63#117×D47—28no—
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70#15689065C2211yescharacteristic, complemented
71#15689064C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic
73#15689058C2211yescharacteristic
74#15689057C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic
81#15689051C2211yescharacteristic
82#15689047C2211yescharacteristic
83#15689047C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic
89#15689045C2211yescharacteristic, complemented
90#15689044C2211yescharacteristic, complemented
91#15689043C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic
93#15689039C2211yescharacteristic, complemented
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic, complemented
97#15689037C2211yescharacteristic
98#15689036C2211yescharacteristic
99#15689035C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689025C2211yescharacteristic
103#15689025C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689021C2211yescharacteristic, complemented
109#15689021C2211yescharacteristic, complemented
110#15689018C2211yescharacteristic, complemented
111#15689018C2211yescharacteristic, complemented
112#15689018C2211yescharacteristic, complemented
113#15689018C2211yescharacteristic, complemented
114#15689017C2211yescharacteristic
115#15689017C2211yescharacteristic
116#15689017C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic, complemented
118#15689017C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic, complemented
120#15689014C2211yescharacteristic
121#15689014C2211yescharacteristic
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689013C2211yescharacteristic
125#15689013C2211yescharacteristic
126#15689013C2211yescharacteristic, complemented
127#15689013C2211yescharacteristic, complemented
128#15689013C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic, complemented
130#15689010C2211yescharacteristic, complemented
131#15689009C2211yescharacteristic, complemented
132#15689006C2211yescharacteristic, complemented
133#15689005C2211yescharacteristic, complemented
134#15689003C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688998C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688995C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688985C2211yescharacteristic
151#15688985C2211yescharacteristic
152#15688978C2211yescharacteristic
153#15688978C2211yescharacteristic
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×Dic47⋊C4C2211yescharacteristic, complemented
159C4×Dic47⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic47C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171#15688969C2211yescharacteristic, complemented
172#15688969C2211yescharacteristic, complemented
173C42×Dic47C2211yescharacteristic, complemented
174C2×C4×D4×C47C2211yescharacteristic
175C2×#117×C47C2211yescharacteristic
176C2×#117×C47C2211yescharacteristic, complemented
177C47×#390C2211yescharacteristic
178C47×#390C2211yescharacteristic
179C47×#389C2211yescharacteristic, complemented
180C47×#389C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C43×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47—24no—
199C22×C4×D47—24no—
200C22×C4×D47—24no—
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019—24no—
211#13094017—24no—
212#13094014—24no—
213#13094010—24no—
214#13094009—24no—
215#13094009—24no—
216#13094006—24no—
217#13094006—24no—
218#13094002—24no—
219#13093997—24no—
220#13093994—24no—
221#13093992—24no—
222C4×Dic94—24no—
223C4×D188—24no—
224C4×D188—24no—
225C4×C22⋊D47—24no—
226C4×C22⋊D47—24no—
227C4×C22⋊D47—24no—
228C4×C22⋊D47—24no—
229#13093983—24no—
230#13093982—24no—
231#13093982—24no—
232#13093981—24no—
233#13093981—24no—
234#13093981—24no—
235#13093981—24no—
236#13093981—24no—
237#13093980—24no—
238#13093980—24no—
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
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
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C4⋊C4×D47—24no—
267C4⋊C4×D47—24no—
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×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
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
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C22⋊C4×D47—24no—
305C22⋊C4×D47—24no—
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
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C42×D47—24no—
320C42×D47D418yescomplemented
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
347C22×D4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C4×D4×C47—24no—
351#117×C47—24no—
352#117×C47—24no—
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371C2×C42×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373C2×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C2×C42×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
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—41no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47#4114yes—
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—22no—
450C2×D188—22no—
451C2×D188—22no—
452C2×D188—41no—
453C2×C4×D47—232no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
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—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47C2×D414yes—
478C2×C4×D47C2×D414yes—
479C2×C4×D47C2×D414yes—
480C2×C4×D47#4114yes—
481C2×Dic94—22no—
482C2×Dic94—41no—
483C2×Dic94—41no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—41no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C42×C47—22no—
502C42×C47—22no—
503C42×C47—22no—
504C42×C47—22no—
505C42×C47—22no—
506C42×C47—22no—
507C42×C47—41no—
508C42×C47—41no—
509C42×C47C2×D414yes—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4#4114yes—
545(C2×D47)⋊C4#4114yes—
546C4⋊Dic47—22no—
547C4⋊Dic47—22no—
548C4⋊Dic47—22no—
549C4⋊Dic47—22no—
550C4⋊Dic47—22no—
551C4⋊Dic47—22no—
552C4⋊Dic47—41no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—22no—
578C4×Dic47—22no—
579C4×Dic47—22no—
580C4×Dic47—22no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C4×Dic47C2×D414yes—
584C4×Dic47C2×D414yes—
585C4×Dic47C2×D414yes—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47C2×#4112yes—
600C23×C47C2511yescharacteristic
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—28no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47C22×D412yes—
626C22×D47C2×#4112yes—
627C22×D47C2×#4112yes—
628C22×D47C2×#4112yes—
629D4×C47—44no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—28no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
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—44no—
663C2×C4×C47C22×D412yes—
664C2×C4×C47C22×D412yes—
665C2×C4×C47C22×D412yes—
666C2×C4×C47C2×#4112yes—
667C2×C4×C47C2×#4112yes—
668C2×C4×C47C2×#4112yes—
669C2×C4×C47C2×#4112yes—
670C2×C4×C47C2×#4112yes—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—44no—
675C2×Dic47—28no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
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×Dic47C22×D412yes—
710C2×Dic47C22×D412yes—
711C2×Dic47C22×D412yes—
712C2×Dic47C2×#4112yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47C2×#4112yes—
715D188—44no—
716D188—44no—
717C4×D47—28no—
718C4×D47—28no—
719C4×D47—28no—
720C4×D47—28no—
721C4×D47—28no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726Dic94—44no—
727#34877—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47C23×D411yescharacteristic
743C22×C47C22×#4111yescharacteristic
744C22×C47C22×#4111yescharacteristic
745C22×C47C22×#4111yescharacteristic
746C22×C47C22×#4111yescharacteristic
747C22×C47#58511yescharacteristic
748C22×C47#58511yescharacteristic
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—416no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47#53214yes—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47#52514yes—
784Dic47—22no—
785Dic47—22no—
786Dic47—22no—
787Dic47—22no—
788Dic47—22no—
789Dic47—22no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797C2×#529—471no—
798C22×#117—471no—
799#2611—471no—
800#2611—471no—
801#2610—471no—
802#2610—471no—
803#2601—471no—
804#2601—471no—
805#2601—471no—
806#2601—471no—
807#2591—471no—
808#2583—471no—
809#2561—471no—
810#2539—471no—
811#2413—471no—
812#2413—471no—
813#2411—471no—
814#2411—471no—
815#2396—471no—
816#2396—471no—
817#2392—471no—
818#2392—471no—
819C4×#123—471no—
820C4×#123—471no—
821C4×#120—471no—
822C4×#120—471no—
823#2293—471no—
824#2293—471no—
825#2293—471no—
826#2293D4711yescharacteristic, complemented
827C4×#117—471no—
828C2×C47—42no—
829C2×C47—81no—
830C2×C47C2×#52511yescharacteristic
831C2×C47C2×#53211yescharacteristic
832C2×C47#344911yescharacteristic
833C2×C47#347511yescharacteristic
834C2×C47#347511yescharacteristic
835C2×C47#347511yescharacteristic
836C2×C47#347511yescharacteristic
837D47—24no—
838D47—42no—
839D47—81no—
840C24×C4—471no—
841#529—948no—
842C2×#126—471no—
843C2×#126—471no—
844C2×#125—471no—
845C2×#124—471no—
846C2×#123—471no—
847C2×#123—471no—
848C2×#123—471no—
849C2×#123—471no—
850C2×C22⋊Q8—471no—
851C2×#121—471no—
852C2×#120—471no—
853C2×#120—471no—
854C2×C4×Q8—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C2×C4×D4C2×D4711yescharacteristic
862C2×#117—471no—
863C2×#117—471no—
864C2×#117—471no—
865C2×#117—471no—
866C2×#117—471no—
867C2×#117—471no—
868C2×#117—471no—
869C2×#117—471no—
870C2×#117—471no—
871C2×#117—471no—
872C2×#117—948no—
873C2×#117C2×D4711yescharacteristic
874C2×#117C2×D4711yescharacteristic, complemented
875C22×C4⋊C4—471no—
876C22×C4⋊C4—471no—
877C22×C22⋊C4—471no—
878C22×C22⋊C4—471no—
879C22×C42—471no—
880C22×C42—471no—
881#400—471no—
882#400—471no—
883#399—471no—
884#399—471no—
885#398—471no—
886#398—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#397—471no—
892#397—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#396—471no—
899#396—471no—
900#396—471no—
901#395—471no—
902#395—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#393—471no—
910#393—471no—
911#392—471no—
912#392—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390C2×D4711yescharacteristic
920#390C2×D4711yescharacteristic
921#389—471no—
922#389—471no—
923#389—471no—
924#389—471no—
925#389—471no—
926#389—471no—
927#389C2×D4711yescharacteristic, complemented
928#389C2×D4711yescharacteristic, complemented
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388C2×D4711yescharacteristic
946#388C2×D4711yescharacteristic
947#388C2×D4711yescharacteristic, complemented
948#388C2×D4711yescharacteristic, complemented
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#381—471no—
970#381—471no—
971#379—471no—
972#379—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4—471no—
975C4×C4⋊C4—471no—
976C4×C4⋊C4—471no—
977C4×C4⋊C4—471no—
978C4×C4⋊C4—471no—
979C4×C4⋊C4—471no—
980C4×C4⋊C4C2×D4711yescharacteristic, complemented
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4C2×D4711yescharacteristic
992C4×C22⋊C4C2×D4711yescharacteristic, complemented
993#376—471no—
994#376—471no—
995C43—471no—
996C43C2×D4711yescharacteristic, complemented
997C47#3487711yescharacteristic, complemented, Sylow
998C25—471no—
999C22×Q8—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4C22×D4711yescharacteristic
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—944no—
1018C23×C4—944no—
1019C23×C4—944no—
1020C23×C4C22×D4711yescharacteristic
1021C23×C4C22×D4711yescharacteristic
1022#126—944no—
1023#126—944no—
1024#125—944no—
1025#124—944no—
1026#123—944no—
1027#123—944no—
1028#123—944no—
1029#123—944no—
1030C22⋊Q8—944no—
1031#121—944no—
1032#120—944no—
1033#120—944no—
1034C4×Q8—944no—
1035C4×D4—24no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—944no—
1042#117—24no—
1043#117—24no—
1044#117—944no—
1045#117—944no—
1046#117—944no—
1047#117—944no—
1048#117—944no—
1049#117—944no—
1050#117—944no—
1051#117—944no—
1052#117—944no—
1053#117—944no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—944no—
1082C2×C4⋊C4—944no—
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C4⋊C4C22×D4711yescharacteristic
1085C2×C4⋊C4C22×D4711yescharacteristic
1086C2×C4⋊C4C22×D4711yescharacteristic
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
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—944no—
1127C2×C22⋊C4—944no—
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—478no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—944no—
1153C2×C42C22×D4711yescharacteristic
1154C2×C42C22×D4711yescharacteristic
1155C2×C42C22×D4711yescharacteristic
1156C2×C42C22×D4711yescharacteristic
1157C2×C42C22×D4711yescharacteristic
1158C2×C42C22×D4711yescharacteristic
1159C2×C42C22×D4711yescharacteristic
1160C2×C42C22×D4711yescharacteristic
1161C2×C42C22×D4711yescharacteristic
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194C24—471no—
1195C24—471no—
1196C24—471no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—942no—
1201C24—942no—
1202C24—1881no—
1203C24—1881no—
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—942no—
1207C2×Q8—1881no—
1208C2×Q8—1881no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—474no—
1242C22×C4—474no—
1243C22×C4—474no—
1244C22×C4—474no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—9432no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4#1062535014yes—
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—474no—
1338C22⋊C4—474no—
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—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—474no—
1382C42—474no—
1383C42—474no—
1384C42—942no—
1385C42—942no—
1386C42—942no—
1387C42—942no—
1388C42—942no—
1389C42—942no—
1390C42—942no—
1391C42—942no—
1392C42—1881no—
1393C42—1881no—
1394C42D4×D4714yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—472no—
1409C23—472no—
1410C23—472no—
1411C23—472no—
1412C23—948no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—1884no—
1431C23—1884no—
1432C23—1884no—
1433C23—1884no—
1434C23—1884no—
1435C23—1884no—
1436C23C2×#1062535012yes—
1437C23C24×D4711yescharacteristic
1438Q8—1884no—
1439D4—44no—
1440D4—1884no—
1441D4—1884no—
1442D4—1884no—
1443D4—1884no—
1444D4—1884no—
1445D4—1884no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—28no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—472no—
1480C2×C4—472no—
1481C2×C4—472no—
1482C2×C4—472no—
1483C2×C4—472no—
1484C2×C4—472no—
1485C2×C4—948no—
1486C2×C4—948no—
1487C2×C4—948no—
1488C2×C4—948no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—948no—
1502C2×C4—948no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—1884no—
1525C2×C4—1884no—
1526C2×C4—1884no—
1527C2×C4—1884no—
1528C2×C4C2×D4×D4712yes—
1529C2×C4C2×D4×D4712yes—
1530C2×C4C2×D4×D4712yes—
1531C2×C4#41×D4712yes—
1532C2×C4#41×D4712yes—
1533C2×C4#41×D4712yes—
1534C2×C4C2×#1062535012yes—
1535C2×C4C2×#1062535012yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—474no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—942no—
1560C22—18816no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22C22×D4×D4711yescharacteristic
1573C22C2×#41×D4711yescharacteristic
1574C22C2×#41×D4711yescharacteristic
1575C22C2×#41×D4711yescharacteristic
1576C22C22×#1062535011yescharacteristic
1577C22#1568995911yescharacteristic
1578C22#1568995911yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—942no—
1592C4—942no—
1593C4—942no—
1594C4—942no—
1595C4—942no—
1596C4—942no—
1597C4—1881no—
1598C4—1881no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4#1568963214yes—
1605C2—42no—
1606C2—81no—
1607C2—944no—
1608C2—3761no—
1609C2—1882no—
1610C2C2×#1568963211yescharacteristic
1611C2#532×D4711yescharacteristic
1612C2#2025671511yescharacteristic
1613C2#2025694011yescharacteristic
1614C2#2025694211yescharacteristic
1615C2#2025694411yescharacteristic
1616C2#2025695211yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2293C2
prime radical#20248317C2
hypercenter#2293D47
hypocenterC47#34877
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#15689651C2semidirect
2. C2×#117×D47C2semidirect
3. #20249085C2semidirect
4. #20249083C2semidirect
5. #20249074C2semidirect
6. #20249072C2semidirect
7. #20248992C2semidirect
8. #20248990C2semidirect
9. #20248984C2semidirect
10. #20248982C2semidirect
11. #20248866C2semidirect
12. #20248766C2semidirect
13. #20248544C2semidirect
15. #20246794C2semidirect
16. #20246792C2semidirect
17. #20246772C2semidirect
18. #20246770C2semidirect
19. #20246664C2semidirect
20. #20246662C2semidirect
21. #20246632C2semidirect
22. #20246630C2semidirect
23. C4×#13094009C2semidirect
24. C4×#13094006C2semidirect
25. C4×#13093994C2semidirect
26. C4×#13093992C2semidirect
27. #20245852C2semidirect
28. #20245847C2semidirect
29. #20245847C2semidirect
30. C4×#13093981C2semidirect
31. C47×#2293C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094017C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094010C22semidirect
46. C2×C4×Dic94C22semidirect
52. C2×C4×C22⋊D47C22semidirect
60. C2×#13093981C22semidirect
70. #15689065C22semidirect
71. #15689064C22semidirect
74. #15689057C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689055C22semidirect
79. #15689054C22semidirect
83. #15689047C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
89. #15689045C22semidirect
90. #15689044C22semidirect
91. #15689043C22semidirect
93. #15689039C22semidirect
96. #15689038C22semidirect
108. #15689021C22semidirect
109. #15689021C22semidirect
110. #15689018C22semidirect
111. #15689018C22semidirect
112. #15689018C22semidirect
113. #15689018C22semidirect
116. #15689017C22semidirect
117. #15689017C22semidirect
118. #15689017C22semidirect
119. #15689016C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
126. #15689013C22semidirect
127. #15689013C22semidirect
128. #15689013C22semidirect
129. #15689012C22semidirect
130. #15689010C22semidirect
131. #15689009C22semidirect
132. #15689006C22semidirect
133. #15689005C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×Dic47⋊C4C22semidirect
159. C4×Dic47⋊C4C22semidirect
160. C4×C4⋊Dic47C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. #15688969C22semidirect
172. #15688969C22semidirect
173. C42×Dic47C22semidirect
176. C2×#117×C47C22semidirect
179. C47×#389C22semidirect
180. C47×#389C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C43×C47C22semidirect
320. C42×D47D4semidirect
826. #2293D47semidirect
874. C2×#117C2×D47semidirect
927. #389C2×D47semidirect
928. #389C2×D47semidirect
947. #388C2×D47semidirect
948. #388C2×D47semidirect
980. C4×C4⋊C4C2×D47semidirect
992. C4×C22⋊C4C2×D47semidirect
996. C43C2×D47semidirect
997. C47#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#156896512
C2×#117×D472
#202490852
#202490832
#202490742
#202490722
#202489922
#202489902
#202489842
#202489822
#202488662
#202487662
#202485442
#202483172
#202467942
#202467922
#202467722
#202467702
#202466642
#202466622
#202466322
#202466302
C4×#130940092
C4×#130940062
C4×#130939942
C4×#130939922
#202458522
#202458472
C4×#130939812
C47×#22932
#3487747