Finite Group Databasebeta

← #26389295

Subgroups — #26389295

Order 12032.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689722C211yesmaximal, characteristic, complemented
2C2×#15689713C211yesmaximal, characteristic, complemented
3#20251762C211yesmaximal, characteristic, complemented
4#20251756C211yesmaximal, characteristic, complemented
5#20251721C211yesmaximal, characteristic, complemented
6#20251692C211yesmaximal, characteristic, complemented
7#20249554C211yesmaximal, characteristic, complemented
8#20249543C211yesmaximal, characteristic, complemented
9#20249532C211yesmaximal, characteristic, complemented
10#20249521C211yesmaximal, characteristic, complemented
11#20248539C211yesmaximal, characteristic, complemented
12#20248524C211yesmaximal, characteristic, complemented
13#20248509C211yesmaximal, characteristic, complemented
14#20248494C211yesmaximal, characteristic, complemented
15#20248348C211yesmaximal, characteristic, complemented
16#20248314C211yesmaximal, characteristic, complemented
17#20248280C211yesmaximal, characteristic, complemented
18#20248094C211yesmaximal, characteristic, complemented
19#20248064C211yesmaximal, characteristic, complemented
20#20247720C211yesmaximal, characteristic, complemented
21#20247521C211yesmaximal, characteristic, complemented
22#20247397C211yesmaximal, characteristic, complemented
23#20247358C211yesmaximal, characteristic, complemented
24#20246937C211yesmaximal, characteristic, complemented
25#20246922C211yesmaximal, characteristic, complemented
26#20246056C211yesmaximal, characteristic, complemented
27#20246045C211yesmaximal, characteristic, complemented
28#20245894C211yesmaximal, characteristic, complemented
29C2×#15689012C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C47×#2549C211yesmaximal, characteristic, complemented
32#15689722—28no—
33#15689713—28no—
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094015C2211yescharacteristic, complemented
40C2×#13094013C2211yescharacteristic
41C2×#13094013C2211yescharacteristic
42C2×#13094013C2211yescharacteristic
43C2×#13094009C2211yescharacteristic
44C2×#13094009C2211yescharacteristic
45C2×#13094009C2211yescharacteristic, complemented
46C2×#13094009C2211yescharacteristic, complemented
47C2×#13094008C2211yescharacteristic
48C2×#13094008C2211yescharacteristic
49C2×#13094008C2211yescharacteristic
50C2×#13094000C2211yescharacteristic, complemented
51C2×#13094000C2211yescharacteristic, complemented
52C2×#13093999C2211yescharacteristic
53C2×#13093999C2211yescharacteristic
54C2×#13093999C2211yescharacteristic
55C2×#13093998C2211yescharacteristic
56C2×#13093998C2211yescharacteristic
57C2×#13093998C2211yescharacteristic
58C2×#13093994C2211yescharacteristic
59C2×#13093994C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093986C2211yescharacteristic, complemented
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic
66C2×(C22⋊D47)⋊C4C2211yescharacteristic
67C22×Dic47⋊C4C2211yescharacteristic
68C22×(C2×D47)⋊C4C2211yescharacteristic
69C22×(C2×D47)⋊C4C2211yescharacteristic
70C22×(C2×D47)⋊C4C2211yescharacteristic
71C22×C4×Dic47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic, complemented
73#15689062C2211yescharacteristic, complemented
74#15689062C2211yescharacteristic, complemented
75#15689060C2211yescharacteristic
76#15689060C2211yescharacteristic
77#15689055C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689050C2211yescharacteristic, complemented
80#15689050C2211yescharacteristic, complemented
81#15689049C2211yescharacteristic
82#15689049C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic
84#15689045C2211yescharacteristic
85#15689045C2211yescharacteristic
86#15689045C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic
88#15689041C2211yescharacteristic, complemented
89#15689040C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689040C2211yescharacteristic
92#15689040C2211yescharacteristic
93#15689040C2211yescharacteristic
94#15689040C2211yescharacteristic, complemented
95#15689034C2211yescharacteristic
96#15689034C2211yescharacteristic, complemented
97#15689033C2211yescharacteristic
98#15689033C2211yescharacteristic
99#15689033C2211yescharacteristic
100#15689033C2211yescharacteristic, complemented
101#15689030C2211yescharacteristic, complemented
102#15689025C2211yescharacteristic
103#15689025C2211yescharacteristic
104#15689025C2211yescharacteristic
105#15689025C2211yescharacteristic
106#15689024C2211yescharacteristic
107#15689024C2211yescharacteristic
108#15689024C2211yescharacteristic
109#15689024C2211yescharacteristic
110#15689024C2211yescharacteristic, complemented
111#15689022C2211yescharacteristic, complemented
112#15689019C2211yescharacteristic, complemented
113#15689019C2211yescharacteristic, complemented
114#15689019C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic
116#15689015C2211yescharacteristic
117#15689015C2211yescharacteristic
118#15689015C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689015C2211yescharacteristic, complemented
121#15689013C2211yescharacteristic
122#15689013C2211yescharacteristic
123#15689013C2211yescharacteristic
124#15689013C2211yescharacteristic
125#15689013C2211yescharacteristic, complemented
126#15689013C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic
128#15689012C2211yescharacteristic
129#15689012C2211yescharacteristic
130#15689012C2211yescharacteristic
131#15689012C2211yescharacteristic
132#15689012C2211yescharacteristic
133#15689012C2211yescharacteristic
134#15689012C2211yescharacteristic
135#15689012C2211yescharacteristic
136#15689012C2211yescharacteristic
137#15689012C2211yescharacteristic, complemented
138#15689012C2211yescharacteristic, complemented
139#15689012C2211yescharacteristic, complemented
140#15689012C2211yescharacteristic, complemented
141#15689006C2211yescharacteristic, complemented
142#15689006C2211yescharacteristic, complemented
143#15689002C2211yescharacteristic
144#15689002C2211yescharacteristic
145#15689001C2211yescharacteristic
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic, complemented
151#15689001C2211yescharacteristic, complemented
152#15689001C2211yescharacteristic, complemented
153#15689000C2211yescharacteristic
154#15689000C2211yescharacteristic
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688988C2211yescharacteristic, complemented
158#15688984C2211yescharacteristic
159#15688980C2211yescharacteristic, complemented
160#15688978C2211yescharacteristic
161C4⋊C4×Dic47C2211yescharacteristic, complemented
162C4×Dic47⋊C4C2211yescharacteristic, complemented
163#15688974C2211yescharacteristic, complemented
164#15688974C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#395C2211yescharacteristic, complemented
179C47×#395C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#391C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#389C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C2×#95×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019—24no—
211#13094019—24no—
212#13094019—24no—
213#13094019—24no—
214#13094015—24no—
215#13094015—24no—
216#13094013—24no—
217#13094013—24no—
218#13094013—42no—
219#13094009—24no—
220#13094009—24no—
221#13094009—24no—
222#13094009—24no—
223#13094008—24no—
224#13094008—24no—
225#13094008—24no—
226#13094000—24no—
227#13094000—24no—
228#13093999—24no—
229#13093999—24no—
230#13093999—42no—
231#13093998—24no—
232#13093998—24no—
233#13093998—24no—
234#13093994—24no—
235#13093994—24no—
236#13093994—24no—
237#13093986—42no—
238C4×C22⋊D47—24no—
239(C22⋊D47)⋊C4—24no—
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4D418yescomplemented
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×Dic47⋊C4—24no—
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×C22⋊Dic47C2311yescharacteristic
263C2×(C2×D47)⋊C4—24no—
264C2×(C2×D47)⋊C4—24no—
265C2×(C2×D47)⋊C4—42no—
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
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
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×C4×Dic47—42no—
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C42×D47—42no—
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
348C22×Q8×C47C2311yescharacteristic
349C22×Q8×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C22⋊Q8×C47—24no—
354C22⋊Q8×C47—24no—
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
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×C4⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C42×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47C2411yescharacteristic
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×Q8×C47—22no—
399C2×Q8×C47—22no—
400C2×Q8×C47—41no—
401C2×Q8×C47—41no—
402C2×Q8×C47—41no—
403C2×Q8×C47—41no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47—41no—
412C22×C4×C47#4114yes—
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47C2×D414yes—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47C2×D414yes—
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C2×D188—22no—
457C2×D188—22no—
458C2×D188—22no—
459C2×D188—22no—
460C2×D188—22no—
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—22no—
465C2×D188—41no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188—41no—
472C2×D188—41no—
473C2×D188—41no—
474C2×D188—41no—
475C2×D188—41no—
476C2×D188—41no—
477C2×D188—41no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188—41no—
482C2×D188—41no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×C4×D47C2×D414yes—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C4⋊C4×C47—41no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47C2×D414yes—
513C22⋊C4×C47#4114yes—
514C42×C47—41no—
515C42×C47—41no—
516C22⋊Dic47—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
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—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4C2×D414yes—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—22no—
572C4⋊Dic47—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4C2×D414yes—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—41no—
590C4×Dic47—41no—
591C4×Dic47—41no—
592C4×Dic47—41no—
593C4×Dic47—41no—
594C4×Dic47C2×D414yes—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47C22×D412yes—
600C23×C47C2×#4112yes—
601C23×C47C2×#4112yes—
602C23×C47C2511yescharacteristic
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
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—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—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—82no—
641C22×D47—82no—
642C22×D47—82no—
643C22×D47—82no—
644C22×D47C22×D412yes—
645Q8×C47—82no—
646Q8×C47—82no—
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—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—44no—
684C2×C4×C47—82no—
685C2×C4×C47—82no—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C2×#4112yes—
689C2×C4×C47C2×#4112yes—
690C2×C4×C47C2×#4112yes—
691C2×C4×C47C2×#4112yes—
692C22⋊D47—28no—
693C22⋊D47—44no—
694C22⋊D47—44no—
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×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—44no—
725C2×Dic47—44no—
726C2×Dic47—44no—
727C2×Dic47C22×D412yes—
728C2×Dic47C22×D412yes—
729C2×Dic47C22×D412yes—
730C2×Dic47H(5,𝔽2)12yes—
731D188—44no—
732D188—82no—
733D188—82no—
734D188—82no—
735D188—82no—
736D188—82no—
737D188—82no—
738D188—82no—
739D188—82no—
740C4×D47—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—82no—
744C4×D47—82no—
745#35009—471nomaximal, Sylow
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47#53214yes—
753C22×C47C23×D411yescharacteristic
754C22×C47C22×#4111yescharacteristic
755C22×C47C22×#4111yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47#58511yescharacteristic
758C22×C47#58511yescharacteristic
759C22×C47#58511yescharacteristic
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—88no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810Dic47—22no—
811Dic47—22no—
812Dic47—22no—
813Dic47—22no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821C2×#539—471no—
822C2×#538—471no—
823#2861—471no—
824#2860—471no—
825#2854—471no—
826#2850—471no—
827#2664—471no—
828#2663—471no—
829#2662—471no—
830#2661—471no—
831#2560—471no—
832#2559—471no—
833#2558—471no—
834#2557—471no—
835#2549D4711yescharacteristic, complemented
836#2543—471no—
837#2539—471no—
838#2534—471no—
839#2521—471no—
840#2519—471no—
841#2488—471no—
842#2472—471no—
843#2464—471no—
844#2461—471no—
845#2425—471no—
846#2424—471no—
847#2322—471no—
848#2321—471no—
849C4×#121—471no—
850C2×#388—471no—
851C42×D4—471no—
852C2×C47—24no—
853C2×C47C2×#53211yescharacteristic
854C2×C47#345511yescharacteristic
855C2×C47#345911yescharacteristic
856C2×C47#349611yescharacteristic
857C2×C47#350011yescharacteristic
858C2×C47#351311yescharacteristic
859C2×C47#352111yescharacteristic
860D47—42no—
861D47—81no—
862D47—81no—
863D47—81no—
864D47—81no—
865#539—948no—
866#538—948no—
867C2×#126—471no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#126—471no—
871C2×#125—471no—
872C2×#125—471no—
873C2×#124—471no—
874C2×#124—471no—
875C2×#124—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123—471no—
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8C2×D4711yescharacteristic
886C2×C22⋊Q8C2×D4711yescharacteristic
887C2×#121—471no—
888C2×#121—471no—
889C2×#121—471no—
890C2×#121—471no—
891C2×#121—471no—
892C2×#121—471no—
893C2×#120—471no—
894C2×#120—471no—
895C2×#120—471no—
896C2×C4×D4—471no—
897C2×C4×D4—471no—
898C2×C4×D4—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C22×C4⋊C4—471no—
903C22×C22⋊C4—471no—
904C22×C22⋊C4—471no—
905C22×C22⋊C4—471no—
906C22×C42—471no—
907C22×C42—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#398—471no—
913#398—471no—
914#398C2×D4711yescharacteristic, complemented
915#398C2×D4711yescharacteristic, complemented
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#396—471no—
921#396—471no—
922#396—471no—
923#396—471no—
924#395C2×D4711yescharacteristic, complemented
925#395C2×D4711yescharacteristic, complemented
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394—471no—
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#391—471no—
941#391C2×D4711yescharacteristic, complemented
942#391C2×D4711yescharacteristic, complemented
943#390—471no—
944#390—471no—
945#390—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389—471no—
953#389—471no—
954#389—471no—
955#389—471no—
956#389C2×D4711yescharacteristic, complemented
957#389C2×D4711yescharacteristic, complemented
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#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#387—471no—
985#387—471no—
986#386—471no—
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#385—471no—
999#385—471no—
1000#385C2×D4711yescharacteristic
1001#385C2×D4711yescharacteristic
1002#382—471no—
1003#381—471no—
1004#380—471no—
1005#380C2×D4711yescharacteristic
1006#379—471no—
1007C4×C4⋊C4—471no—
1008C4×C4⋊C4—471no—
1009C4×C4⋊C4—471no—
1010C4×C4⋊C4—471no—
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
1019C2×#95—471no—
1020C2×#95C2×D4711yescharacteristic
1021C43—471no—
1022C47#3500911yescharacteristic, complemented, Sylow
1023C25—471no—
1024C22×Q8C22×D4711yescharacteristic
1025C22×Q8C22×D4711yescharacteristic
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C22×D4—471no—
1030C22×D4—471no—
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4C22×D4711yescharacteristic
1047C23×C4C22×D4711yescharacteristic
1048C23×C4C22×D4711yescharacteristic
1049#126—944no—
1050#126—944no—
1051#126—944no—
1052#126—944no—
1053#125—944no—
1054#125—944no—
1055#124—944no—
1056#124—944no—
1057#124—1882no—
1058#123—944no—
1059#123—944no—
1060#123—944no—
1061#123—944no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065C22⋊Q8—24no—
1066C22⋊Q8—24no—
1067C22⋊Q8—944no—
1068C22⋊Q8—944no—
1069#121—944no—
1070#121—944no—
1071#121—944no—
1072#121—944no—
1073#121—944no—
1074#121—1882no—
1075#120—944no—
1076#120—944no—
1077#120—944no—
1078C4×D4—478no—
1079C4×D4—944no—
1080C4×D4—944no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—1882no—
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—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—944no—
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C4⋊C4C22×D4711yescharacteristic
1106C2×C4⋊C4C22×D4711yescharacteristic
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×C4⋊C4C22×D4711yescharacteristic
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—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—944no—
1164C2×C22⋊C4—944no—
1165C2×C22⋊C4—1882no—
1166C2×C22⋊C4C22×D4711yescharacteristic
1167C2×C22⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
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—471no—
1182C2×C42—471no—
1183C2×C42—1882no—
1184C2×C42—1882no—
1185C2×C42C22×D4711yescharacteristic
1186C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219C24—471no—
1220C24—471no—
1221C24—471no—
1222C24—471no—
1223C24—471no—
1224C24—942no—
1225C24—942no—
1226C24—942no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24—1881no—
1231C24C23×D4711yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×D4—474no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—1881no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—474no—
1287C22×C4—474no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—942no—
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—1881no—
1306C22×C4—1881no—
1307C22×C4—1881no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4—1881no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4#1062535414yes—
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—474no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—474no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4D4×D4714yes—
1413C22⋊C4#1062535414yes—
1414C42—41no—
1415C42—41no—
1416C42—474no—
1417C42—942no—
1418C42—942no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
1422C42—942no—
1423C42—942no—
1424C42—1881no—
1425C42—1881no—
1426C42—1881no—
1427C42—1881no—
1428C42—1881no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—472no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—3762no—
1469C23—3762no—
1470C23—3762no—
1471C23—3762no—
1472C23—1884no—
1473C23—1884no—
1474C23—1884no—
1475C23C2×D4×D4712yes—
1476C23C2×#1062535412yes—
1477C23C2×#1062535412yes—
1478C23C24×D4711yescharacteristic
1479Q8—82no—
1480Q8—82no—
1481D4—948no—
1482D4—3762no—
1483D4—3762no—
1484D4—3762no—
1485D4—3762no—
1486D4—3762no—
1487D4—3762no—
1488D4—3762no—
1489D4—3762no—
1490D4—1884no—
1491D4—1884no—
1492D4—1884no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
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—44no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—472no—
1533C2×C4—472no—
1534C2×C4—472no—
1535C2×C4—472no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
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—3762no—
1566C2×C4—3762no—
1567C2×C4—1884no—
1568C2×C4—1884no—
1569C2×C4—1884no—
1570C2×C4—1884no—
1571C2×C4—1884no—
1572C2×C4—1884no—
1573C2×C4C2×D4×D4712yes—
1574C2×C4C2×D4×D4712yes—
1575C2×C4C2×#1062535412yes—
1576C2×C4C2×#1062535412yes—
1577C2×C4C2×#1062535412yes—
1578C2×C4C2×#1062535412yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—942no—
1586C22—942no—
1587C22—942no—
1588C22—3768no—
1589C22—1881no—
1590C22—1881no—
1591C22—1881no—
1592C22—1881no—
1593C22—1881no—
1594C22—1881no—
1595C22—1881no—
1596C22—1881no—
1597C22—1881no—
1598C22—1881no—
1599C22—1881no—
1600C22—1881no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22—1881no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22#1568967414yes—
1622C22C22×D4×D4711yescharacteristic
1623C22C22×#1062535411yescharacteristic
1624C22C22×#1062535411yescharacteristic
1625C22H(5,𝔽2)×D4711yescharacteristic
1626C22#1568995811yescharacteristic
1627C22#1568995911yescharacteristic
1628C22#1568995911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—942no—
1644C4—942no—
1645C4—942no—
1646C4—942no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C2—24no—
1655C2—3761no—
1656C2—3761no—
1657C2—3761no—
1658C2—3761no—
1659C2—1882no—
1660C2C2×#1568967411yescharacteristic
1661C2#2025678011yescharacteristic
1662C2#2025680011yescharacteristic
1663C2#2025714811yescharacteristic
1664C2#2025717411yescharacteristic
1665C2#2025733111yescharacteristic
1666C2#2025745911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2549C2
hypercenter#2549D47
hypocenterC47#35009
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C2×#15689722C2semidirect
2. C2×#15689713C2semidirect
3. #20251762C2semidirect
4. #20251756C2semidirect
5. #20251721C2semidirect
6. #20251692C2semidirect
7. #20249554C2semidirect
8. #20249543C2semidirect
9. #20249532C2semidirect
10. #20249521C2semidirect
11. #20248539C2semidirect
12. #20248524C2semidirect
13. #20248509C2semidirect
14. #20248494C2semidirect
15. #20248348C2semidirect
16. #20248314C2semidirect
17. #20248280C2semidirect
18. #20248094C2semidirect
19. #20248064C2semidirect
20. #20247720C2semidirect
21. #20247521C2semidirect
22. #20247397C2semidirect
23. #20247358C2semidirect
24. #20246937C2semidirect
25. #20246922C2semidirect
26. #20246056C2semidirect
27. #20246045C2semidirect
28. #20245894C2semidirect
29. C2×#15689012C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C47×#2549C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094015C22semidirect
45. C2×#13094009C22semidirect
46. C2×#13094009C22semidirect
50. C2×#13094000C22semidirect
51. C2×#13094000C22semidirect
61. C2×#13093986C22semidirect
72. C2×C42×D47C22semidirect
73. #15689062C22semidirect
74. #15689062C22semidirect
77. #15689055C22semidirect
78. #15689055C22semidirect
79. #15689050C22semidirect
80. #15689050C22semidirect
82. #15689049C22semidirect
86. #15689045C22semidirect
88. #15689041C22semidirect
94. #15689040C22semidirect
96. #15689034C22semidirect
100. #15689033C22semidirect
101. #15689030C22semidirect
110. #15689024C22semidirect
111. #15689022C22semidirect
112. #15689019C22semidirect
113. #15689019C22semidirect
114. #15689019C22semidirect
118. #15689015C22semidirect
119. #15689015C22semidirect
120. #15689015C22semidirect
125. #15689013C22semidirect
126. #15689013C22semidirect
137. #15689012C22semidirect
138. #15689012C22semidirect
139. #15689012C22semidirect
140. #15689012C22semidirect
141. #15689006C22semidirect
142. #15689006C22semidirect
150. #15689001C22semidirect
151. #15689001C22semidirect
152. #15689001C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688988C22semidirect
159. #15688980C22semidirect
161. C4⋊C4×Dic47C22semidirect
162. C4×Dic47⋊C4C22semidirect
163. #15688974C22semidirect
164. #15688974C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
173. C42×Dic47C22semidirect
176. C47×#398C22semidirect
177. C47×#398C22semidirect
178. C47×#395C22semidirect
179. C47×#395C22semidirect
180. C47×#391C22semidirect
181. C47×#391C22semidirect
182. C47×#389C22semidirect
183. C47×#389C22semidirect
242. (C22⋊D47)⋊C4D4semidirect
835. #2549D47semidirect
914. #398C2×D47semidirect
915. #398C2×D47semidirect
924. #395C2×D47semidirect
925. #395C2×D47semidirect
941. #391C2×D47semidirect
942. #391C2×D47semidirect
956. #389C2×D47semidirect
957. #389C2×D47semidirect
1022. C47#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#156897222
C2×#156897132
#202517622
#202517562
#202517212
#202516922
#202495542
#202495432
#202495322
#202495212
#202485392
#202485242
#202485092
#202484942
#202483482
#202483142
#202482802
#202480942
#202480642
#202477202
#202475212
#202473972
#202473582
#202469372
#202469222
#202460562
#202460452
#202458942
C2×#156890122
C4×(C22⋊D47)⋊C42
C47×#25492
#3500947