Finite Group Databasebeta

← #26423655

Subgroups — #26423655

Order 12032.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689708C211yesmaximal, characteristic, complemented
2C2×#15689708C211yesmaximal, characteristic, complemented
3#20251670C211yesmaximal, characteristic, complemented
4#20250293C211yesmaximal, characteristic, complemented
5#20250196C211yesmaximal, characteristic, complemented
6#20250194C211yesmaximal, characteristic, complemented
7#20250155C211yesmaximal, characteristic, complemented
8#20249920C211yesmaximal, characteristic, complemented
9#20249918C211yesmaximal, characteristic, complemented
10#20249894C211yesmaximal, characteristic, complemented
11#20249866C211yesmaximal, characteristic, complemented
12#20249864C211yesmaximal, characteristic, complemented
13#20249690C211yesmaximal, characteristic, complemented
14#20249683C211yesmaximal, characteristic, complemented
15#20249678C211yesmaximal, characteristic, complemented
16#20249640C211yesmaximal, characteristic, complemented
17#20249633C211yesmaximal, characteristic, complemented
18#20249625C211yesmaximal, characteristic, complemented
19#20249618C211yesmaximal, characteristic, complemented
20#20249126C211yesmaximal, characteristic, complemented
21#20249126C211yesmaximal, characteristic, complemented
22#20248572C211yesmaximal, characteristic, complemented
23#20248566C211yesmaximal, characteristic, complemented
24#20248352C211yesmaximal, characteristic, complemented
25#20248346C211yesmaximal, characteristic, complemented
26#20246838C211yesmaximal, characteristic, complemented
27#20246836C211yesmaximal, characteristic, complemented
28#20246827C211yesmaximal, characteristic, complemented
29#20246825C211yesmaximal, characteristic, complemented
30C2×#15688996C211yesmaximal, characteristic, complemented
31C47×#2847C211yesmaximal, characteristic, complemented
32#15689708—28no—
33#15689708—28no—
34C2×#13094017C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094017C2211yescharacteristic
37C2×#13094017C2211yescharacteristic
38C2×#13094011C2211yescharacteristic
39C2×#13094011C2211yescharacteristic
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094005C2211yescharacteristic
45C2×#13094005C2211yescharacteristic
46C2×#13094002C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic
48C2×#13094001C2211yescharacteristic
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13093998C2211yescharacteristic
51C2×#13093998C2211yescharacteristic
52C2×#13093998C2211yescharacteristic
53C2×#13093997C2211yescharacteristic, complemented
54C2×#13093996C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic
57C2×#13093996C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093996C2211yescharacteristic, complemented
61C2×#13093995C2211yescharacteristic
62C2×#13093995C2211yescharacteristic
63C2×#13093993C2211yescharacteristic
64C2×#13093993C2211yescharacteristic
65C2×D4×Dic47C2211yescharacteristic
66C2×D4×Dic47C2211yescharacteristic
67C2×(C22⋊D47)⋊C4C2211yescharacteristic
68C2×(C22⋊D47)⋊C4C2211yescharacteristic
69C22×Dic47⋊C4C2211yescharacteristic
70C22×Dic47⋊C4C2211yescharacteristic
71C22×C22⋊Dic47C2211yescharacteristic
72C22×C22⋊Dic47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689055C2211yescharacteristic, complemented
82#15689054C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic
85#15689051C2211yescharacteristic
86#15689051C2211yescharacteristic
87#15689051C2211yescharacteristic
88#15689051C2211yescharacteristic, complemented
89#15689047C2211yescharacteristic, complemented
90#15689047C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689045C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689043C2211yescharacteristic, complemented
99#15689041C2211yescharacteristic, complemented
100#15689039C2211yescharacteristic, complemented
101#15689038C2211yescharacteristic
102#15689038C2211yescharacteristic
103#15689038C2211yescharacteristic
104#15689038C2211yescharacteristic
105#15689038C2211yescharacteristic, complemented
106#15689038C2211yescharacteristic, complemented
107#15689038C2211yescharacteristic, complemented
108#15689037C2211yescharacteristic
109#15689037C2211yescharacteristic
110#15689037C2211yescharacteristic
111#15689037C2211yescharacteristic
112#15689037C2211yescharacteristic, complemented
113#15689036C2211yescharacteristic, complemented
114#15689035C2211yescharacteristic, complemented
115#15689032C2211yescharacteristic, complemented
116#15689031C2211yescharacteristic
117#15689031C2211yescharacteristic
118#15689031C2211yescharacteristic
119#15689031C2211yescharacteristic
120#15689031C2211yescharacteristic, complemented
121#15689027C2211yescharacteristic, complemented
122#15689027C2211yescharacteristic, complemented
123#15689023C2211yescharacteristic, complemented
124#15689023C2211yescharacteristic, complemented
125#15689020C2211yescharacteristic, complemented
126#15689020C2211yescharacteristic, complemented
127#15689018C2211yescharacteristic, complemented
128#15689018C2211yescharacteristic, complemented
129#15689017C2211yescharacteristic, complemented
130#15689016C2211yescharacteristic, complemented
131#15689013C2211yescharacteristic, complemented
132#15689012C2211yescharacteristic, complemented
133#15689010C2211yescharacteristic, complemented
134#15689009C2211yescharacteristic, complemented
135#15689006C2211yescharacteristic, complemented
136#15689005C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic
138#15689003C2211yescharacteristic
139#15689003C2211yescharacteristic, complemented
140#15689002C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic
143#15689002C2211yescharacteristic
144#15689002C2211yescharacteristic
145#15689002C2211yescharacteristic
146#15689001C2211yescharacteristic, complemented
147#15689000C2211yescharacteristic
148#15689000C2211yescharacteristic
149#15689000C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688998C2211yescharacteristic, complemented
152#15688997C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic
154#15688996C2211yescharacteristic
155#15688996C2211yescharacteristic
156#15688996C2211yescharacteristic
157#15688996C2211yescharacteristic
158#15688996C2211yescharacteristic
159#15688996C2211yescharacteristic
160#15688996C2211yescharacteristic
161#15688995C2211yescharacteristic, complemented
162#15688994C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688983C2211yescharacteristic
166#15688982C2211yescharacteristic, complemented
167#15688982C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic
169#15688981C2211yescharacteristic
170#15688981C2211yescharacteristic, complemented
171#15688981C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic
173C2×C47⋊#95C2211yescharacteristic
174C24×C4×C47C2211yescharacteristic
175C2×#121×C47C2211yescharacteristic
176C2×#121×C47C2211yescharacteristic
177C2×#121×C47C2211yescharacteristic
178C2×#120×C47C2211yescharacteristic
179C2×#120×C47C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C47×#380C2211yescharacteristic
188C47×#380C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094017—24no—
211#13094017—24no—
212#13094017—24no—
213#13094017—24no—
214#13094011—24no—
215#13094011—24no—
216#13094010—24no—
217#13094010—24no—
218#13094006—24no—
219#13094006—24no—
220#13094005—24no—
221#13094005—24no—
222#13094002—42no—
223#13094001—24no—
224#13094001—24no—
225#13094001—42no—
226#13093998—42no—
227#13093998—42no—
228#13093998—42no—
229#13093997—42no—
230#13093996—24no—
231#13093996—24no—
232#13093996—24no—
233#13093996—24no—
234#13093996—42no—
235#13093996—42no—
236#13093996—42no—
237#13093995—24no—
238#13093995—24no—
239#13093993—24no—
240#13093993—24no—
241D4×Dic47—24no—
242D4×Dic47—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×Dic47⋊C4—42no—
253C2×Dic47⋊C4—42no—
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
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×C22⋊Dic47—42no—
277C2×C22⋊Dic47D418yescomplemented
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×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×C22⋊Dic47C2311yescharacteristic
300C2×C22⋊Dic47C2311yescharacteristic
301C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C25×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47—42no—
357C23×C4×C47—42no—
358C23×C4×C47—42no—
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#121×C47—42no—
366#121×C47—42no—
367#121×C47—42no—
368#120×C47—24no—
369#120×C47—24no—
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊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
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—41no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47C2×D414yes—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C23×D47C2411yescharacteristic
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—22no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47—41no—
441C22×C4×C47—41no—
442C22×C4×C47—41no—
443C22×C4×C47—41no—
444C22×C4×C47—416no—
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C22×Dic47—22no—
486C22×Dic47—22no—
487C22×Dic47—22no—
488C22×Dic47—22no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47—41no—
494C22×Dic47—41no—
495C22×Dic47—41no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—41no—
499C22×Dic47—41no—
500C22×Dic47—41no—
501C22×Dic47C2×D414yes—
502C22×Dic47C2×D414yes—
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C2×D188—22no—
518C2×D188—41no—
519C2×D188—41no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×Dic94—22no—
527C2×Dic94—22no—
528C2×Dic94—41no—
529C2×Dic94—41no—
530C2×Dic94—41no—
531C2×Dic94—41no—
532C4⋊C4×C47—22no—
533C4⋊C4×C47—41no—
534C4⋊C4×C47—41no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47C2×D414yes—
568C22⋊Dic47C2×D414yes—
569C22⋊Dic47C2×D414yes—
570C22⋊Dic47C2×D414yes—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587C4⋊Dic47—22no—
588C4⋊Dic47—22no—
589C4⋊Dic47—22no—
590C4⋊Dic47—22no—
591C4⋊Dic47—22no—
592C4⋊Dic47—41no—
593C4⋊Dic47—41no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—22no—
603Dic47⋊C4—22no—
604Dic47⋊C4—22no—
605Dic47⋊C4—22no—
606Dic47⋊C4—41no—
607Dic47⋊C4—41no—
608Dic47⋊C4—41no—
609Dic47⋊C4—41no—
610Dic47⋊C4—41no—
611Dic47⋊C4—41no—
612Dic47⋊C4—41no—
613Dic47⋊C4—41no—
614Dic47⋊C4—41no—
615Dic47⋊C4—41no—
616C4×Dic47—22no—
617C4×Dic47—22no—
618C4×Dic47—22no—
619C4×Dic47—22no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—28no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—44no—
652C23×C47—44no—
653C23×C47—44no—
654C23×C47—44no—
655C23×C47—44no—
656C23×C47—44no—
657C23×C47C22×D412yes—
658C23×C47C22×D412yes—
659C23×C47C22×D412yes—
660C23×C47H(5,𝔽2)12yes—
661C23×C472−1+412yes—
662C23×C47C2511yescharacteristic
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677D4×C47—44no—
678D4×C47—44no—
679D4×C47—82no—
680D4×C47—82no—
681D4×C47—82no—
682D4×C47—82no—
683D4×C47—82no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—44no—
713C2×C4×C47—44no—
714C2×C4×C47—44no—
715C2×C4×C47—44no—
716C2×C4×C47—44no—
717C2×C4×C47—44no—
718C2×C4×C47H(5,𝔽2)12yes—
719C2×C4×C47H(5,𝔽2)12yes—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—82no—
723C22⋊D47—82no—
724C22⋊D47—82no—
725C22⋊D47—82no—
726C22⋊D47—82no—
727C22⋊D47—82no—
728C22⋊D47—82no—
729C22⋊D47—82no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—44no—
769C2×Dic47—44no—
770C2×Dic47—82no—
771C2×Dic47—82no—
772C2×Dic47—82no—
773C2×Dic47—82no—
774C2×Dic47C22×D412yes—
775C2×Dic47C22×D412yes—
776C2×Dic47C22×D412yes—
777C2×Dic47C22×D412yes—
778D188—82no—
779C4×D47—82no—
780C4×D47—82no—
781Dic94—82no—
782Dic94—82no—
783#36738—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—416no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47#53714yes—
820C22×C47C23×D411yescharacteristic
821C22×C47C2×H(5,𝔽2)11yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47C2×2−1+411yescharacteristic
825C22×C47#58511yescharacteristic
826C22×C47#58511yescharacteristic
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C4×C47—22no—
842C4×C47—22no—
843C4×C47—41no—
844C4×C47—41no—
845C4×C47—41no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851Dic47—22no—
852Dic47—22no—
853Dic47—22no—
854Dic47—22no—
855Dic47—41no—
856Dic47—41no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865C2×#538—471no—
866C2×#538—471no—
867#2847—471no—
868#2847D4711yescharacteristic, complemented
869#2722—471no—
870#2715—471no—
871#2715—471no—
872#2712—471no—
873#2695—471no—
874#2695—471no—
875#2693—471no—
876#2691—471no—
877#2691—471no—
878#2676—471no—
879#2676—471no—
880#2675—471no—
881#2672—471no—
882#2672—471no—
883#2671—471no—
884#2671—471no—
885#2617—471no—
886#2617—471no—
887#2564—471no—
888#2564—471no—
889#2543—471no—
890#2543—471no—
891#2417—471no—
892#2417—471no—
893#2416—471no—
894#2416—471no—
895C2×#385—471no—
896C2×C47—24no—
897C2×C47—42no—
898C2×C47—42no—
899C2×C47—81no—
900C2×C47—81no—
901C2×C47C2×#53711yescharacteristic
902C2×C47#349611yescharacteristic
903C2×C47#349611yescharacteristic
904C2×C47#353211yescharacteristic
905C2×C47#353311yescharacteristic
906C2×C47#354111yescharacteristic
907C2×C47#354111yescharacteristic
908D47—81no—
909D47—81no—
910C24×C4C2×D4711yescharacteristic
911#538—948no—
912#538—948no—
913C2×#126—471no—
914C2×#126—471no—
915C2×#126—471no—
916C2×#126—471no—
917C2×#124—471no—
918C2×#124—471no—
919C2×#124—471no—
920C2×#124—471no—
921C2×#123—471no—
922C2×#123—471no—
923C2×#123—471no—
924C2×#123—471no—
925C2×C22⋊Q8—471no—
926C2×C22⋊Q8—471no—
927C2×C22⋊Q8—471no—
928C2×C22⋊Q8—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#121—471no—
940C2×#121—471no—
941C2×#121—471no—
942C2×#121C2×D4711yescharacteristic
943C2×#121C2×D4711yescharacteristic
944C2×#121C2×D4711yescharacteristic
945C2×#120—471no—
946C2×#120—471no—
947C2×#120C2×D4711yescharacteristic
948C2×#120C2×D4711yescharacteristic
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4—471no—
953C22×C4⋊C4—471no—
954C22×C4⋊C4—471no—
955C22×C22⋊C4—471no—
956C22×C22⋊C4—471no—
957#400—471no—
958#400—471no—
959#399—471no—
960#399—471no—
961#398—471no—
962#398—471no—
963#398—471no—
964#398—471no—
965#398—471no—
966#398—471no—
967#397—471no—
968#397—471no—
969#397—471no—
970#397—471no—
971#397—471no—
972#397—471no—
973#396—471no—
974#396—471no—
975#396—471no—
976#396—471no—
977#396—471no—
978#396—471no—
979#396—471no—
980#396—471no—
981#395—471no—
982#395—471no—
983#394—471no—
984#394—471no—
985#394—471no—
986#394—471no—
987#394—471no—
988#394—471no—
989#394—471no—
990#394—471no—
991#394—471no—
992#394—471no—
993#394—471no—
994#394—471no—
995#394—471no—
996#394—471no—
997#393—471no—
998#393—471no—
999#392—471no—
1000#392—471no—
1001#392—471no—
1002#392—471no—
1003#392—471no—
1004#392—471no—
1005#391—471no—
1006#391—471no—
1007#390—471no—
1008#390—471no—
1009#389—471no—
1010#389—471no—
1011#389—471no—
1012#389—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#387—471no—
1018#387—471no—
1019#387—471no—
1020#387—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386C2×D4711yescharacteristic
1036#386C2×D4711yescharacteristic
1037#386C2×D4711yescharacteristic
1038#386C2×D4711yescharacteristic
1039#386C2×D4711yescharacteristic
1040#386C2×D4711yescharacteristic
1041#385—471no—
1042#385—471no—
1043#385—471no—
1044#385—471no—
1045#385—471no—
1046#385—471no—
1047#385—471no—
1048#385—471no—
1049#385—471no—
1050#385—471no—
1051#385—471no—
1052#385—471no—
1053#380—471no—
1054#380—471no—
1055#380—471no—
1056#380—471no—
1057#380—471no—
1058#380—471no—
1059#380—471no—
1060#380—471no—
1061#380—471no—
1062#380C2×D4711yescharacteristic
1063#380C2×D4711yescharacteristic
1064#380C2×D4711yescharacteristic
1065C2×#95—471no—
1066C2×#95—471no—
1067C47#3673811yescharacteristic, complemented, Sylow
1068C25C22×D4711yescharacteristic
1069C22×Q8—471no—
1070C22×Q8—471no—
1071C22×D4—471no—
1072C22×D4—471no—
1073C22×D4—471no—
1074C22×D4—471no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4C22×D4711yescharacteristic
1083C22×D4C22×D4711yescharacteristic
1084C22×D4C22×D4711yescharacteristic
1085C22×D4C22×D4711yescharacteristic
1086C22×D4C22×D4711yescharacteristic
1087C22×D4C22×D4711yescharacteristic
1088C22×D4C22×D4711yescharacteristic
1089C23×C4—42no—
1090C23×C4—42no—
1091C23×C4—42no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4C22×D4711yescharacteristic
1101C23×C4C22×D4711yescharacteristic
1102C23×C4C22×D4711yescharacteristic
1103C23×C4C22×D4711yescharacteristic
1104C23×C4C22×D4711yescharacteristic
1105C23×C4C22×D4711yescharacteristic
1106#126—944no—
1107#126—944no—
1108#126—944no—
1109#126—944no—
1110#124—944no—
1111#124—944no—
1112#124—944no—
1113#124—944no—
1114#123—944no—
1115#123—944no—
1116#123—944no—
1117#123—944no—
1118C22⋊Q8—944no—
1119C22⋊Q8—944no—
1120C22⋊Q8—1882no—
1121C22⋊Q8—1882no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#121—944no—
1126#121—944no—
1127#121—944no—
1128#121—944no—
1129#121—944no—
1130#121—944no—
1131#121—1882no—
1132#121—1882no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#121—1882no—
1137#121—1882no—
1138#120—24no—
1139#120—24no—
1140#120—944no—
1141#120—944no—
1142C4×D4—944no—
1143C4×D4—944no—
1144C4×D4—944no—
1145C4×D4—944no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4—471no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—471no—
1173C2×C4⋊C4—471no—
1174C2×C4⋊C4—471no—
1175C2×C4⋊C4—1882no—
1176C2×C4⋊C4—1882no—
1177C2×C4⋊C4C22×D4711yescharacteristic
1178C2×C4⋊C4C22×D4711yescharacteristic
1179C2×C4⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4—478no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—1882no—
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C22⋊C4C22×D4711yescharacteristic
1225C2×C22⋊C4C22×D4711yescharacteristic
1226C2×C22⋊C4C22×D4711yescharacteristic
1227C2×C22⋊C4C22×D4711yescharacteristic
1228C2×C22⋊C4C22×D4711yescharacteristic
1229C2×C22⋊C4C22×D4711yescharacteristic
1230C2×C22⋊C4C22×D4711yescharacteristic
1231C2×C22⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4C22×D4711yescharacteristic
1233C2×C22⋊C4C22×D4711yescharacteristic
1234C2×C42—471no—
1235C2×C42—471no—
1236C2×C42—471no—
1237C2×C42—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95—471no—
1263#95—471no—
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268#95C22×D4711yescharacteristic
1269#95C22×D4711yescharacteristic
1270C24—22no—
1271C24—22no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—471no—
1277C24—471no—
1278C24D4×D4714yes—
1279C24C23×D4711yescharacteristic
1280C24C23×D4711yescharacteristic
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284C2×Q8—942no—
1285C2×Q8—942no—
1286C2×Q8—1881no—
1287C2×Q8—1881no—
1288C2×Q8—1881no—
1289C2×Q8—1881no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—1881no—
1325C2×D4—1881no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—416no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—474no—
1368C22×C4—474no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—471no—
1377C22×C4—471no—
1378C22×C4—471no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4—1881no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—942no—
1415C4⋊C4—942no—
1416C4⋊C4—942no—
1417C4⋊C4—942no—
1418C4⋊C4—942no—
1419C4⋊C4—942no—
1420C4⋊C4—942no—
1421C4⋊C4—942no—
1422C4⋊C4—942no—
1423C4⋊C4—942no—
1424C4⋊C4—942no—
1425C4⋊C4—942no—
1426C4⋊C4—942no—
1427C4⋊C4—942no—
1428C4⋊C4—942no—
1429C4⋊C4—942no—
1430C4⋊C4—942no—
1431C4⋊C4—1881no—
1432C4⋊C4—1881no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C4⋊C4—1881no—
1436C4⋊C4—1881no—
1437C4⋊C4—1881no—
1438C4⋊C4—1881no—
1439C4⋊C4—1881no—
1440C4⋊C4—1881no—
1441C4⋊C4—1881no—
1442C4⋊C4—1881no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—474no—
1456C22⋊C4—474no—
1457C22⋊C4—474no—
1458C22⋊C4—474no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—942no—
1463C22⋊C4—942no—
1464C22⋊C4—942no—
1465C22⋊C4—942no—
1466C22⋊C4—942no—
1467C22⋊C4—942no—
1468C22⋊C4—942no—
1469C22⋊C4—942no—
1470C22⋊C4—942no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C42—942no—
1496C42—942no—
1497C42—942no—
1498C42—942no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—28no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23C2×D4×D4712yes—
1551C23C2×D4×D4712yes—
1552C23C2×D4×D4712yes—
1553C23#1309406912yes—
1554C23#1309407112yes—
1555C23C24×D4711yescharacteristic
1556Q8—3762no—
1557Q8—3762no—
1558D4—44no—
1559D4—44no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—3762no—
1566D4—3762no—
1567D4—3762no—
1568D4—3762no—
1569D4—3762no—
1570D4—3762no—
1571D4—3762no—
1572D4—3762no—
1573D4—3762no—
1574D4—1884no—
1575D4—1884no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—3762no—
1653C2×C4—3762no—
1654C2×C4—3762no—
1655C2×C4—3762no—
1656C2×C4—3762no—
1657C2×C4—3762no—
1658C2×C4—1884no—
1659C2×C4—1884no—
1660C2×C4#1309406912yes—
1661C2×C4#1309406912yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—416no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—1881no—
1698C22—1881no—
1699C22—1881no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22#1568970014yes—
1712C22C22×D4×D4711yescharacteristic
1713C22C2×#1309406911yescharacteristic
1714C22C2×#1309406911yescharacteristic
1715C22C2×#1309406911yescharacteristic
1716C22C2×#1309407111yescharacteristic
1717C22#1568995911yescharacteristic
1718C22#1568995911yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—942no—
1730C4—942no—
1731C4—942no—
1732C4—942no—
1733C4—1881no—
1734C4—1881no—
1735C4—1881no—
1736C4—1881no—
1737C4—1881no—
1738C4—1881no—
1739C4—1881no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C2—24no—
1744C2—42no—
1745C2—42no—
1746C2—81no—
1747C2—81no—
1748C2—3761no—
1749C2—3761no—
1750C2C2×#1568970011yescharacteristic
1751C2#2025714511yescharacteristic
1752C2#2025714511yescharacteristic
1753C2#2025754311yescharacteristic
1754C2#2025755211yescharacteristic
1755C2#2025767311yescharacteristic
1756C2#2025768111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2847C2
hypercenter#2847D47
hypocenterC47#36738
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#15689708C2semidirect
2. C2×#15689708C2semidirect
3. #20251670C2semidirect
4. #20250293C2semidirect
5. #20250196C2semidirect
6. #20250194C2semidirect
7. #20250155C2semidirect
8. #20249920C2semidirect
9. #20249918C2semidirect
10. #20249894C2semidirect
11. #20249866C2semidirect
12. #20249864C2semidirect
13. #20249690C2semidirect
14. #20249683C2semidirect
15. #20249678C2semidirect
16. #20249640C2semidirect
17. #20249633C2semidirect
18. #20249625C2semidirect
19. #20249618C2semidirect
20. #20249126C2semidirect
21. #20249126C2semidirect
22. #20248572C2semidirect
23. #20248566C2semidirect
24. #20248352C2semidirect
25. #20248346C2semidirect
26. #20246838C2semidirect
27. #20246836C2semidirect
28. #20246827C2semidirect
29. #20246825C2semidirect
30. C2×#15688996C2semidirect
31. C47×#2847C2semidirect
46. C2×#13094002C22semidirect
49. C2×#13094001C22semidirect
53. C2×#13093997C22semidirect
60. C2×#13093996C22semidirect
73. #15689065C22semidirect
74. #15689064C22semidirect
75. #15689059C22semidirect
76. #15689058C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689055C22semidirect
82. #15689054C22semidirect
83. #15689052C22semidirect
88. #15689051C22semidirect
89. #15689047C22semidirect
90. #15689047C22semidirect
91. #15689046C22semidirect
92. #15689046C22semidirect
93. #15689046C22semidirect
94. #15689046C22semidirect
95. #15689045C22semidirect
96. #15689045C22semidirect
97. #15689044C22semidirect
98. #15689043C22semidirect
99. #15689041C22semidirect
100. #15689039C22semidirect
105. #15689038C22semidirect
106. #15689038C22semidirect
107. #15689038C22semidirect
112. #15689037C22semidirect
113. #15689036C22semidirect
114. #15689035C22semidirect
115. #15689032C22semidirect
120. #15689031C22semidirect
121. #15689027C22semidirect
122. #15689027C22semidirect
123. #15689023C22semidirect
124. #15689023C22semidirect
125. #15689020C22semidirect
126. #15689020C22semidirect
127. #15689018C22semidirect
128. #15689018C22semidirect
129. #15689017C22semidirect
130. #15689016C22semidirect
131. #15689013C22semidirect
132. #15689012C22semidirect
133. #15689010C22semidirect
134. #15689009C22semidirect
135. #15689006C22semidirect
136. #15689005C22semidirect
139. #15689003C22semidirect
146. #15689001C22semidirect
149. #15689000C22semidirect
150. #15688999C22semidirect
151. #15688998C22semidirect
152. #15688997C22semidirect
161. #15688995C22semidirect
162. #15688994C22semidirect
166. #15688982C22semidirect
167. #15688982C22semidirect
170. #15688981C22semidirect
171. #15688981C22semidirect
277. C2×C22⋊Dic47D4semidirect
868. #2847D47semidirect
1067. C47#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#156897082
#202516702
#202502932
#202501962
#202501942
#202501552
#202499202
#202499182
#202498942
#202498662
#202498642
#202496902
#202496832
#202496782
#202496402
#202496332
#202496252
#202496182
#202491262
#202485722
#202485662
#202483522
#202483462
#202468382
#202468362
#202468272
#202468252
C2×#156889962
C47×#28472
#3673847