Finite Group Databasebeta

← #26423334

Subgroups — #26423334

Order 12032.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689719C211yesmaximal, characteristic, complemented
2C2×#15689634C211yesmaximal, characteristic, complemented
3#20251680C211yesmaximal, characteristic, complemented
4#20250091C211yesmaximal, characteristic, complemented
5#20250076C211yesmaximal, characteristic, complemented
6#20250046C211yesmaximal, characteristic, complemented
7#20250031C211yesmaximal, characteristic, complemented
8#20250005C211yesmaximal, characteristic, complemented
9#20249966C211yesmaximal, characteristic, complemented
10#20249951C211yesmaximal, characteristic, complemented
11#20249779C211yesmaximal, characteristic, complemented
12#20249758C211yesmaximal, characteristic, complemented
13#20249754C211yesmaximal, characteristic, complemented
14#20249743C211yesmaximal, characteristic, complemented
15#20249736C211yesmaximal, characteristic, complemented
16#20249730C211yesmaximal, characteristic, complemented
17#20249727C211yesmaximal, characteristic, complemented
18#20249717C211yesmaximal, characteristic, complemented
19#20249717C211yesmaximal, characteristic, complemented
20#20249306C211yesmaximal, characteristic, complemented
21#20249229C211yesmaximal, characteristic, complemented
22#20249082C211yesmaximal, characteristic, complemented
23#20249014C211yesmaximal, characteristic, complemented
24#20248989C211yesmaximal, characteristic, complemented
25#20248974C211yesmaximal, characteristic, complemented
26#20248733C211yesmaximal, characteristic, complemented
27#20248586C211yesmaximal, characteristic, complemented
28#20246732C211yesmaximal, characteristic, complemented
29#20246721C211yesmaximal, characteristic, complemented
30#20246030C211yesmaximal, characteristic, complemented
31C47×#2848C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33#15689719—28no—
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38#15689634—28no—
39C2×#13094009C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic, complemented
41C2×#13094007C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094007C2211yescharacteristic
44C2×#13094007C2211yescharacteristic
45C2×#13094006C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094006C2211yescharacteristic
48C2×#13094003C2211yescharacteristic
49C2×#13094003C2211yescharacteristic
50C2×#13094002C2211yescharacteristic, complemented
51C2×#13094000C2211yescharacteristic, complemented
52C2×#13094000C2211yescharacteristic, complemented
53C2×#13093998C2211yescharacteristic
54C2×#13093998C2211yescharacteristic
55C2×#13093997C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093993C2211yescharacteristic
58C2×#13093993C2211yescharacteristic
59C2×#13093993C2211yescharacteristic
60C2×#13093986C2211yescharacteristic, complemented
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic
65C2×#13093983C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic, complemented
67#15689065C2211yescharacteristic, complemented
68#15689059C2211yescharacteristic
69#15689057C2211yescharacteristic, complemented
70#15689057C2211yescharacteristic, complemented
71#15689056C2211yescharacteristic, complemented
72#15689056C2211yescharacteristic, complemented
73#15689054C2211yescharacteristic, complemented
74#15689054C2211yescharacteristic, complemented
75#15689053C2211yescharacteristic, complemented
76#15689052C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic
78#15689051C2211yescharacteristic
79#15689051C2211yescharacteristic
80#15689049C2211yescharacteristic, complemented
81#15689049C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic
83#15689047C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689046C2211yescharacteristic
88#15689046C2211yescharacteristic
89#15689045C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689045C2211yescharacteristic, complemented
92#15689045C2211yescharacteristic, complemented
93#15689044C2211yescharacteristic, complemented
94#15689043C2211yescharacteristic, complemented
95#15689042C2211yescharacteristic, complemented
96#15689041C2211yescharacteristic, complemented
97#15689040C2211yescharacteristic, complemented
98#15689040C2211yescharacteristic, complemented
99#15689039C2211yescharacteristic
100#15689039C2211yescharacteristic
101#15689039C2211yescharacteristic
102#15689039C2211yescharacteristic
103#15689039C2211yescharacteristic
104#15689038C2211yescharacteristic
105#15689038C2211yescharacteristic
106#15689038C2211yescharacteristic
107#15689038C2211yescharacteristic
108#15689038C2211yescharacteristic
109#15689034C2211yescharacteristic, complemented
110#15689033C2211yescharacteristic, complemented
111#15689032C2211yescharacteristic
112#15689032C2211yescharacteristic
113#15689032C2211yescharacteristic
114#15689032C2211yescharacteristic
115#15689027C2211yescharacteristic, complemented
116#15689024C2211yescharacteristic, complemented
117#15689023C2211yescharacteristic
118#15689023C2211yescharacteristic
119#15689023C2211yescharacteristic
120#15689023C2211yescharacteristic
121#15689023C2211yescharacteristic
122#15689023C2211yescharacteristic
123#15689023C2211yescharacteristic
124#15689022C2211yescharacteristic, complemented
125#15689022C2211yescharacteristic, complemented
126#15689020C2211yescharacteristic, complemented
127#15689018C2211yescharacteristic, complemented
128#15689018C2211yescharacteristic, complemented
129#15689017C2211yescharacteristic
130#15689016C2211yescharacteristic
131#15689016C2211yescharacteristic
132#15689015C2211yescharacteristic, complemented
133#15689015C2211yescharacteristic, complemented
134#15689013C2211yescharacteristic, complemented
135#15689013C2211yescharacteristic, complemented
136#15689012C2211yescharacteristic, complemented
137#15689011C2211yescharacteristic
138#15689011C2211yescharacteristic
139#15689011C2211yescharacteristic
140#15689011C2211yescharacteristic
141#15689008C2211yescharacteristic, complemented
142#15689006C2211yescharacteristic, complemented
143#15689004C2211yescharacteristic, complemented
144#15689004C2211yescharacteristic, complemented
145#15689002C2211yescharacteristic
146#15689002C2211yescharacteristic
147#15689002C2211yescharacteristic
148#15689002C2211yescharacteristic
149#15689001C2211yescharacteristic, complemented
150#15689001C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic
152#15688999C2211yescharacteristic
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic
155#15688997C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic
158#15688996C2211yescharacteristic
159#15688996C2211yescharacteristic
160#15688996C2211yescharacteristic
161#15688994C2211yescharacteristic, complemented
162#15688994C2211yescharacteristic, complemented
163#15688994C2211yescharacteristic, complemented
164#15688994C2211yescharacteristic, complemented
165#15688992C2211yescharacteristic, complemented
166#15688987C2211yescharacteristic, complemented
167#15688986C2211yescharacteristic
168#15688986C2211yescharacteristic
169#15688985C2211yescharacteristic, complemented
170#15688982C2211yescharacteristic, complemented
171#15688979C2211yescharacteristic
172#15688974C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C2×C22⋊Q8×C47C2211yescharacteristic
177C2×C22⋊Q8×C47C2211yescharacteristic
178C47×#385C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C47×#379C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C2×#10625350—24no—
190C2×#10625350—42no—
191C2×#10625350—42no—
192C22×Dic94C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊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#13094014—24no—
214#13094009—24no—
215#13094009—42no—
216#13094007—24no—
217#13094007—24no—
218#13094007—24no—
219#13094007—42no—
220#13094006—24no—
221#13094006—24no—
222#13094006—42no—
223#13094003—24no—
224#13094003—24no—
225#13094002—42no—
226#13094000—24no—
227#13094000—24no—
228#13093998—24no—
229#13093998—24no—
230#13093997—24no—
231#13093997—42no—
232#13093993—24no—
233#13093993—24no—
234#13093993—42no—
235#13093986—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47D418yescomplemented
240#13093983—24no—
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
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
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C4⋊C4×D47—24no—
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
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
344C25×C47C2311yescharacteristic
345C22×Q8×C47C2311yescharacteristic
346C23×C4×C47—24no—
347C23×C4×C47—42no—
348C23×C4×C47—42no—
349C23×C4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C22⋊Q8×C47—24no—
356C22⋊Q8×C47—42no—
357C22⋊Q8×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47—22no—
386C24×C47—22no—
387C24×C47—22no—
388C24×C47—41no—
389C24×C47—41no—
390C24×C47—41no—
391C24×C47—41no—
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×Q8×C47—41no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—41no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—416no—
419C22×C4×C47C2×D414yes—
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47C2×D414yes—
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472#10625350—416no—
473C2×D188—22no—
474C2×D188—22no—
475C2×D188—22no—
476C2×D188—41no—
477C2×D188—41no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188—41no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
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×D47C2×D414yes—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—41no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—41no—
506C4⋊C4×C47—41no—
507C4⋊C4×C47—41no—
508C4⋊C4×C47—41no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47C2×D414yes—
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—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4C2×D414yes—
561C4⋊Dic47—22no—
562C4⋊Dic47—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568C4⋊Dic47—41no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—41no—
581Dic47⋊C4—41no—
582Dic47⋊C4—41no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4C2×D414yes—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—41no—
593C4×Dic47—41no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47C2×D414yes—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—44no—
616C23×C47—44no—
617C23×C47—44no—
618C23×C47—44no—
619C23×C47—44no—
620C23×C47—44no—
621C23×C47—44no—
622C23×C47C22×D412yes—
623C23×C47H(5,𝔽2)12yes—
624C23×C472−1+412yes—
625C23×C47C2511yescharacteristic
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47C22×D412yes—
647Q8×C47—82no—
648C2×C4×C47—28no—
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—44no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47—44no—
686C2×C4×C47—44no—
687C2×C4×C47C22×D412yes—
688C2×C4×C47C22×D412yes—
689C2×C4×C47H(5,𝔽2)12yes—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—44no—
694C22⋊D47—44no—
695C22⋊D47—44no—
696C22⋊D47—82no—
697C22⋊D47—82no—
698C22⋊D47—82no—
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—21no—
734C2×Dic47—21no—
735C2×Dic47C22×D412yes—
736C2×Dic47C22×D412yes—
737C2×Dic47C22×D412yes—
738D188—44no—
739D188—44no—
740D188—82no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—82no—
745C4×D47—82no—
746Dic94—44no—
747#36723—471nomaximal, Sylow
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—416no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47C23×D411yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×H(5,𝔽2)11yescharacteristic
773C22×C47C2×2−1+411yescharacteristic
774C22×C47#58511yescharacteristic
775C22×C47#58511yescharacteristic
776C22×C47#58511yescharacteristic
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
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—41no—
796C2×D47—41no—
797C2×D47—41no—
798C4×C47—22no—
799C4×C47—22no—
800C4×C47—22no—
801C4×C47—41no—
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—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823C2×#539—471no—
824C2×#525—471no—
825#2849—471no—
826#2848D4711yescharacteristic, complemented
827#2707—471no—
828#2706—471no—
829#2704—471no—
830#2703—471no—
831#2701—471no—
832#2698—471no—
833#2697—471no—
834#2685—471no—
835#2683—471no—
836#2682—471no—
837#2681—471no—
838#2681—471no—
839#2680—471no—
840#2680—471no—
841#2678—471no—
842#2678—471no—
843#2638—471no—
844#2630—471no—
845#2611—471no—
846#2603—471no—
847#2601—471no—
848#2600—471no—
849#2579—471no—
850#2566—471no—
851#2407—471no—
852#2406—471no—
853#2319—471no—
854C2×C47—42no—
855C2×C47—42no—
856C2×C47—42no—
857C2×C47#344911yescharacteristic
858C2×C47#348411yescharacteristic
859C2×C47#348911yescharacteristic
860C2×C47#353311yescharacteristic
861C2×C47#353511yescharacteristic
862C2×C47#353911yescharacteristic
863C2×C47#354111yescharacteristic
864D47—42no—
865D47—81no—
866D47—81no—
867C22×#41—471no—
868C24×C4C2×D4711yescharacteristic
869#539—948no—
870C2×#126—471no—
871C2×#126—471no—
872C2×#125—471no—
873C2×#125—471no—
874#525—948no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123—471no—
878C2×#123—471no—
879C2×#123—471no—
880C2×#123—471no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8C2×D4711yescharacteristic
890C2×C22⋊Q8C2×D4711yescharacteristic
891C2×C22⋊Q8C2×D4711yescharacteristic
892C2×#121—471no—
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#120—471no—
897C2×#120—471no—
898C2×#120—471no—
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×#117—471no—
905C22×C4⋊C4—471no—
906#400—471no—
907#399—471no—
908#398—471no—
909#398—471no—
910#398—471no—
911#398—471no—
912#398—471no—
913#398—471no—
914#398—471no—
915#397—471no—
916#397—471no—
917#397—471no—
918#397—471no—
919#397—471no—
920#397—471no—
921#397—471no—
922#396—471no—
923#396—471no—
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#396—471no—
929#396—471no—
930#396—471no—
931#396—471no—
932#395—471no—
933#395—471no—
934#395—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394—471no—
945#394—471no—
946#394—471no—
947#394—471no—
948#393—471no—
949#392—471no—
950#392—471no—
951#392—471no—
952#392—471no—
953#392—471no—
954#391—471no—
955#390—471no—
956#390—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#390—471no—
962#390—471no—
963#389—471no—
964#389—471no—
965#389—471no—
966#389—471no—
967#389—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#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#386—471no—
985#386—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#385—471no—
995#385—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385C2×D4711yescharacteristic
1005#385C2×D4711yescharacteristic
1006#385C2×D4711yescharacteristic
1007#385C2×D4711yescharacteristic
1008#385C2×D4711yescharacteristic
1009#385C2×D4711yescharacteristic
1010#384—471no—
1011#382—471no—
1012#381—471no—
1013#381—471no—
1014#381—471no—
1015#380—471no—
1016#380C2×D4711yescharacteristic
1017#380C2×D4711yescharacteristic
1018#380C2×D4711yescharacteristic
1019#379—471no—
1020#379C2×D4711yescharacteristic
1021#379C2×D4711yescharacteristic
1022C4×C4⋊C4—471no—
1023#376—471no—
1024C47#3672311yescharacteristic, complemented, Sylow
1025C25C22×D4711yescharacteristic
1026C2×#41—944no—
1027C2×#41—1882no—
1028C2×#41—1882no—
1029C22×Q8—471no—
1030C22×Q8C22×D4711yescharacteristic
1031C22×D4—471no—
1032C22×D4—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C23×C4—24no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4C22×D4711yescharacteristic
1052C23×C4C22×D4711yescharacteristic
1053C23×C4C22×D4711yescharacteristic
1054C23×C4C22×D4711yescharacteristic
1055C23×C4C22×D4711yescharacteristic
1056C23×C4C22×D4711yescharacteristic
1057#126—944no—
1058#126—944no—
1059#125—944no—
1060#125—944no—
1061#123—944no—
1062#123—944no—
1063#123—944no—
1064#123—944no—
1065#123—944no—
1066#123—944no—
1067#123—1882no—
1068#123—1882no—
1069#123—1882no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—42no—
1073C22⋊Q8—944no—
1074C22⋊Q8—944no—
1075C22⋊Q8—944no—
1076C22⋊Q8—944no—
1077C22⋊Q8—1882no—
1078#121—944no—
1079#121—944no—
1080#121—944no—
1081#121—1882no—
1082#120—944no—
1083#120—944no—
1084#120—1882no—
1085C4×D4—478no—
1086C4×D4—944no—
1087C4×D4—944no—
1088C4×D4—944no—
1089C4×D4—944no—
1090#117—944no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—944no—
1121C2×C4⋊C4C22×D4711yescharacteristic
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C4⋊C4C22×D4711yescharacteristic
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
1128C2×C4⋊C4C22×D4711yescharacteristic
1129C2×C4⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42—471no—
1187C2×C42—471no—
1188C2×C42—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#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—471no—
1229C24—471no—
1230C24—471no—
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C24C23×D4711yescharacteristic
1234#41—18816no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×Q8—942no—
1239C2×Q8—942no—
1240C2×Q8—1881no—
1241C2×D4—474no—
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—942no—
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—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—416no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—474no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
1306C22×C4—471no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4D4×D4714yes—
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—474no—
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—
1362C4⋊C4—1881no—
1363C4⋊C4—1881no—
1364C4⋊C4—1881no—
1365C4⋊C4—1881no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—474no—
1387C22⋊C4—474no—
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—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C42—474no—
1427C42—942no—
1428C42—942no—
1429C42—1881no—
1430C42—1881no—
1431C42—1881no—
1432C42—1881no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—472no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23C2×D4×D4712yes—
1480C23#1309406912yes—
1481C23#1309407212yes—
1482C23C24×D4711yescharacteristic
1483Q8—82no—
1484Q8—1884no—
1485D4—3762no—
1486D4—3762no—
1487D4—3762no—
1488D4—3762no—
1489D4—1884no—
1490D4—1884no—
1491D4—1884no—
1492D4—1884no—
1493D4—1884no—
1494D4—1884no—
1495D4—1884no—
1496D4—1884no—
1497C2×C4—28no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—472no—
1537C2×C4—472no—
1538C2×C4—472no—
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—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—3762no—
1576C2×C4—3762no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4C2×D4×D4712yes—
1581C2×C4C2×D4×D4712yes—
1582C2×C4#1309406912yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—416no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
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—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22C22×D4×D4711yescharacteristic
1627C22C2×#1309406911yescharacteristic
1628C22C2×#1309406911yescharacteristic
1629C22C2×#1309407211yescharacteristic
1630C22#1568995911yescharacteristic
1631C22#1568995911yescharacteristic
1632C22#1568995911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—942no—
1646C4—942no—
1647C4—942no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C4—1881no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—3761no—
1662C2—3761no—
1663C2—1882no—
1664C2#2025671811yescharacteristic
1665C2#2025701711yescharacteristic
1666C2#2025706411yescharacteristic
1667C2#2025755211yescharacteristic
1668C2#2025759711yescharacteristic
1669C2#2025764811yescharacteristic
1670C2#2025768511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2848C2
hypercenter#2848D47
hypocenterC47#36723
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C2×#15689719C2semidirect
2. C2×#15689634C2semidirect
3. #20251680C2semidirect
4. #20250091C2semidirect
5. #20250076C2semidirect
6. #20250046C2semidirect
7. #20250031C2semidirect
8. #20250005C2semidirect
9. #20249966C2semidirect
10. #20249951C2semidirect
11. #20249779C2semidirect
12. #20249758C2semidirect
13. #20249754C2semidirect
14. #20249743C2semidirect
15. #20249736C2semidirect
16. #20249730C2semidirect
17. #20249727C2semidirect
18. #20249717C2semidirect
19. #20249717C2semidirect
20. #20249306C2semidirect
21. #20249229C2semidirect
22. #20249082C2semidirect
23. #20249014C2semidirect
24. #20248989C2semidirect
25. #20248974C2semidirect
26. #20248733C2semidirect
27. #20248586C2semidirect
28. #20246732C2semidirect
29. #20246721C2semidirect
30. #20246030C2semidirect
31. C47×#2848C2semidirect
34. C2×#13094019C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094014C22semidirect
39. C2×#13094009C22semidirect
40. C2×#13094009C22semidirect
50. C2×#13094002C22semidirect
51. C2×#13094000C22semidirect
52. C2×#13094000C22semidirect
60. C2×#13093986C22semidirect
66. C2×C4⋊C4×D47C22semidirect
67. #15689065C22semidirect
69. #15689057C22semidirect
70. #15689057C22semidirect
71. #15689056C22semidirect
72. #15689056C22semidirect
73. #15689054C22semidirect
74. #15689054C22semidirect
75. #15689053C22semidirect
76. #15689052C22semidirect
80. #15689049C22semidirect
81. #15689049C22semidirect
83. #15689047C22semidirect
89. #15689045C22semidirect
90. #15689045C22semidirect
91. #15689045C22semidirect
92. #15689045C22semidirect
93. #15689044C22semidirect
94. #15689043C22semidirect
95. #15689042C22semidirect
96. #15689041C22semidirect
97. #15689040C22semidirect
98. #15689040C22semidirect
109. #15689034C22semidirect
110. #15689033C22semidirect
115. #15689027C22semidirect
116. #15689024C22semidirect
124. #15689022C22semidirect
125. #15689022C22semidirect
126. #15689020C22semidirect
127. #15689018C22semidirect
128. #15689018C22semidirect
132. #15689015C22semidirect
133. #15689015C22semidirect
134. #15689013C22semidirect
135. #15689013C22semidirect
136. #15689012C22semidirect
141. #15689008C22semidirect
142. #15689006C22semidirect
143. #15689004C22semidirect
144. #15689004C22semidirect
149. #15689001C22semidirect
150. #15689001C22semidirect
155. #15688997C22semidirect
156. #15688997C22semidirect
161. #15688994C22semidirect
162. #15688994C22semidirect
163. #15688994C22semidirect
164. #15688994C22semidirect
165. #15688992C22semidirect
166. #15688987C22semidirect
169. #15688985C22semidirect
170. #15688982C22semidirect
172. #15688974C22semidirect
173. #15688968C22semidirect
239. C4×C22⋊D47D4semidirect
826. #2848D47semidirect
1024. C47#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#156897192
C2×#156896342
#202516802
#202500912
#202500762
#202500462
#202500312
#202500052
#202499662
#202499512
#202497792
#202497582
#202497542
#202497432
#202497362
#202497302
#202497272
#202497172
#202493062
#202492292
#202490822
#202490142
#202489892
#202489742
#202487332
#202485862
#202467322
#202467212
#202460302
C47×#28482
#3672347