Finite Group Databasebeta

← #26423357

Subgroups — #26423357

Order 12032.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic, complemented
2#20251680C211yesmaximal, characteristic, complemented
3#20251670C211yesmaximal, characteristic, complemented
4#20250057C211yesmaximal, characteristic, complemented
5#20250012C211yesmaximal, characteristic, complemented
6#20249982C211yesmaximal, characteristic, complemented
7#20249971C211yesmaximal, characteristic, complemented
8#20249803C211yesmaximal, characteristic, complemented
9#20249753C211yesmaximal, characteristic, complemented
10#20249743C211yesmaximal, characteristic, complemented
11#20249736C211yesmaximal, characteristic, complemented
12#20249722C211yesmaximal, characteristic, complemented
13#20249716C211yesmaximal, characteristic, complemented
14#20249713C211yesmaximal, characteristic, complemented
15#20249707C211yesmaximal, characteristic, complemented
16#20249633C211yesmaximal, characteristic, complemented
17#20249610C211yesmaximal, characteristic, complemented
18#20249602C211yesmaximal, characteristic, complemented
19#20249600C211yesmaximal, characteristic, complemented
20#20249272C211yesmaximal, characteristic, complemented
21#20249225C211yesmaximal, characteristic, complemented
22#20249075C211yesmaximal, characteristic, complemented
23#20249009C211yesmaximal, characteristic, complemented
24#20248985C211yesmaximal, characteristic, complemented
25#20248970C211yesmaximal, characteristic, complemented
26#20248355C211yesmaximal, characteristic, complemented
27#20248274C211yesmaximal, characteristic, complemented
28#20246727C211yesmaximal, characteristic, complemented
29#20246703C211yesmaximal, characteristic, complemented
30#20246031C211yesmaximal, characteristic, complemented
31C2×C47×#525C211yesmaximal, characteristic, complemented
32#15689706—28no—
33C2×#13094020C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094012C2211yescharacteristic, complemented
37C2×#13094011C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic
39C2×#13094009C2211yescharacteristic, complemented
40C2×#13094007C2211yescharacteristic
41C2×#13094007C2211yescharacteristic
42C2×#13094005C2211yescharacteristic
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13094000C2211yescharacteristic, complemented
45C2×#13093998C2211yescharacteristic
46C2×#13093998C2211yescharacteristic
47C2×#13093998C2211yescharacteristic
48C2×#13093997C2211yescharacteristic
49C2×#13093996C2211yescharacteristic
50C2×#13093995C2211yescharacteristic, complemented
51C2×#13093994C2211yescharacteristic, complemented
52C2×#13093993C2211yescharacteristic
53C2×#13093993C2211yescharacteristic
54C2×#13093993C2211yescharacteristic, complemented
55C2×#13093992C2211yescharacteristic
56C2×#13093992C2211yescharacteristic
57C2×#13093992C2211yescharacteristic
58C2×#13093992C2211yescharacteristic, complemented
59C2×C4×C22⋊D47C2211yescharacteristic, complemented
60C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
61#15689062C2211yescharacteristic, complemented
62#15689059C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689054C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689043C2211yescharacteristic, complemented
76#15689040C2211yescharacteristic, complemented
77#15689040C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689037C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689034C2211yescharacteristic, complemented
97#15689034C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic, complemented
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic
105#15689031C2211yescharacteristic
106#15689031C2211yescharacteristic
107#15689031C2211yescharacteristic, complemented
108#15689031C2211yescharacteristic, complemented
109#15689030C2211yescharacteristic, complemented
110#15689028C2211yescharacteristic, complemented
111#15689026C2211yescharacteristic
112#15689026C2211yescharacteristic
113#15689026C2211yescharacteristic, complemented
114#15689024C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic
116#15689023C2211yescharacteristic
117#15689023C2211yescharacteristic
118#15689023C2211yescharacteristic, complemented
119#15689023C2211yescharacteristic, complemented
120#15689022C2211yescharacteristic, complemented
121#15689022C2211yescharacteristic, complemented
122#15689018C2211yescharacteristic, complemented
123#15689017C2211yescharacteristic, complemented
124#15689017C2211yescharacteristic, complemented
125#15689017C2211yescharacteristic, complemented
126#15689016C2211yescharacteristic, complemented
127#15689016C2211yescharacteristic, complemented
128#15689016C2211yescharacteristic, complemented
129#15689016C2211yescharacteristic, complemented
130#15689014C2211yescharacteristic, complemented
131#15689014C2211yescharacteristic, complemented
132#15689014C2211yescharacteristic, complemented
133#15689013C2211yescharacteristic, complemented
134#15689013C2211yescharacteristic, complemented
135#15689013C2211yescharacteristic, complemented
136#15689011C2211yescharacteristic, complemented
137#15689007C2211yescharacteristic, complemented
138#15689004C2211yescharacteristic, complemented
139#15689003C2211yescharacteristic
140#15689003C2211yescharacteristic, complemented
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic
143#15689002C2211yescharacteristic
144#15689002C2211yescharacteristic
145#15689002C2211yescharacteristic
146#15689002C2211yescharacteristic
147#15689002C2211yescharacteristic
148#15689002C2211yescharacteristic, complemented
149#15689002C2211yescharacteristic, complemented
150#15689002C2211yescharacteristic, complemented
151#15689002C2211yescharacteristic, complemented
152#15689002C2211yescharacteristic, complemented
153#15689002C2211yescharacteristic, complemented
154#15688999C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688996C2211yescharacteristic, complemented
159#15688996C2211yescharacteristic, complemented
160#15688994C2211yescharacteristic, complemented
161#15688986C2211yescharacteristic, complemented
162#15688986C2211yescharacteristic, complemented
163#15688986C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic, complemented
165#15688983C2211yescharacteristic, complemented
166#15688983C2211yescharacteristic, complemented
167#15688983C2211yescharacteristic, complemented
168#15688983C2211yescharacteristic, complemented
169#15688979C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C4⋊Dic47C2211yescharacteristic, complemented
172#15688969C2211yescharacteristic, complemented
173C22×#41×C47C2211yescharacteristic
174C24×C4×C47C2211yescharacteristic, complemented
175C47×#525—28no—
176C2×#123×C47C2211yescharacteristic
177C2×#123×C47C2211yescharacteristic, complemented
178C2×C22⋊Q8×C47C2211yescharacteristic, complemented
179C2×C22⋊Q8×C47C2211yescharacteristic, complemented
180C2×#121×C47C2211yescharacteristic
181C2×#121×C47C2211yescharacteristic
182C2×#120×C47C2211yescharacteristic
183C2×#120×C47C2211yescharacteristic, complemented
184C2×C4×D4×C47C2211yescharacteristic
185C2×C4×D4×C47C2211yescharacteristic
186C2×C4×D4×C47C2211yescharacteristic, complemented
187C2×C4×D4×C47C2211yescharacteristic, complemented
188C2×#117×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
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
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094020—42no—
209#13094019—24no—
210#13094018—24no—
211#13094012—24no—
212#13094011—42no—
213#13094010—24no—
214#13094009—24no—
215#13094007—24no—
216#13094007—42no—
217#13094005—42no—
218#13094001—24no—
219#13094000—42no—
220#13093998—24no—
221#13093998—42no—
222#13093998—42no—
223#13093997—24no—
224#13093996—24no—
225#13093995—42no—
226#13093994—24no—
227#13093993—42no—
228#13093993—42no—
229#13093993—42no—
230#13093992—24no—
231#13093992—42no—
232#13093992—42no—
233#13093992—42no—
234C4×C22⋊D47—24no—
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×(C2×D47)⋊C4—24no—
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×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
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
337C25×C47C2311yescharacteristic
338C2×#41×C47—24no—
339C2×#41×C47—42no—
340C2×#41×C47—42no—
341C22×Q8×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C22×D4×C47C2311yescharacteristic
345C22×D4×C47C2311yescharacteristic
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47—24no—
350C23×C4×C47—42no—
351C23×C4×C47—42no—
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360#123×C47—24no—
361#123×C47—24no—
362C22⋊Q8×C47—24no—
363C22⋊Q8×C47—24no—
364#121×C47—24no—
365#121×C47—24no—
366#120×C47—24no—
367#120×C47—24no—
368C4×D4×C47—24no—
369C4×D4×C47—24no—
370C4×D4×C47—24no—
371C4×D4×C47D418yescomplemented
372#117×C47—24no—
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊C4×C47C2311yescharacteristic
375C2×C4⋊C4×C47C2311yescharacteristic
376C2×C4⋊C4×C47C2311yescharacteristic
377C2×C4⋊C4×C47C2311yescharacteristic
378C2×C4⋊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
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C23×D47—22no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413#41×C47—416no—
414C2×Q8×C47—22no—
415C2×Q8×C47—22no—
416C2×Q8×C47—41no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—22no—
423C2×D4×C47—22no—
424C2×D4×C47—22no—
425C2×D4×C47—22no—
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47—41no—
437C2×D4×C47C2×D414yes—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—22no—
448C22×C4×C47—22no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47—41no—
457C22×C4×C47—41no—
458C22×C4×C47—41no—
459C22×C4×C47—41no—
460C22×C4×C47—416no—
461C22×C4×C47C2×D414yes—
462C22×C4×C47C2×D414yes—
463C22×C4×C47C2411yescharacteristic
464C22×C4×C47C2411yescharacteristic
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C2×C22⋊D47—22no—
474C2×C22⋊D47—22no—
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
477C2×C22⋊D47—22no—
478C2×C22⋊D47—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—22no—
481C2×C22⋊D47—22no—
482C2×C22⋊D47—22no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C2×C22⋊D47—41no—
491C2×C22⋊D47—41no—
492C2×C22⋊D47—41no—
493C2×C22⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C2×C22⋊D47—41no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47—41no—
501C2×C22⋊D47—41no—
502C2×C22⋊D47—41no—
503C2×C22⋊D47—41no—
504C2×C22⋊D47—41no—
505C2×C22⋊D47—41no—
506C2×C22⋊D47—41no—
507C2×C22⋊D47—41no—
508C2×C22⋊D47—41no—
509C2×C22⋊D47—41no—
510C2×C22⋊D47—41no—
511C2×C22⋊D47—41no—
512C22×Dic47—22no—
513C22×Dic47—41no—
514C22×Dic47—41no—
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C22×Dic47C2411yescharacteristic
518C22×Dic47C2411yescharacteristic
519C22×Dic47C2411yescharacteristic
520C22×Dic47C2411yescharacteristic
521C22×Dic47C2411yescharacteristic
522C22×Dic47C2411yescharacteristic
523C22×Dic47C2411yescharacteristic
524C22×Dic47C2411yescharacteristic
525C22×Dic47C2411yescharacteristic
526C22×Dic47C2411yescharacteristic
527C22×Dic47C2411yescharacteristic
528C2×D188—22no—
529C2×D188—22no—
530C2×D188—41no—
531C2×D188—41no—
532C2×D188—41no—
533C2×D188—41no—
534C2×C4×D47—22no—
535C2×C4×D47—41no—
536C2×C4×D47—41no—
537C2×Dic94—22no—
538C2×Dic94—41no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47C2×D414yes—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47C2×D414yes—
555C22⋊C4×C47C2×D414yes—
556C42×C47—22no—
557C42×C47C2×D414yes—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573C22⋊Dic47—41no—
574C22⋊Dic47—41no—
575C22⋊Dic47—41no—
576C22⋊Dic47—41no—
577C22⋊Dic47—41no—
578C22⋊Dic47—41no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581C22⋊Dic47—41no—
582C22⋊Dic47—41no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—41no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
606(C2×D47)⋊C4—41no—
607(C2×D47)⋊C4—41no—
608C4⋊Dic47—22no—
609C4⋊Dic47—41no—
610C4⋊Dic47—41no—
611C4⋊Dic47—41no—
612C4⋊Dic47—41no—
613C4⋊Dic47—41no—
614C4⋊Dic47—41no—
615Dic47⋊C4—22no—
616Dic47⋊C4—22no—
617Dic47⋊C4—22no—
618Dic47⋊C4—22no—
619Dic47⋊C4—22no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4—41no—
624Dic47⋊C4—41no—
625Dic47⋊C4—41no—
626C4×Dic47—22no—
627C4×Dic47—41no—
628C4×Dic47—41no—
629C4×Dic47—41no—
630C4×Dic47—41no—
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—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—44no—
663C23×C47—44no—
664C23×C47—44no—
665C23×C47—44no—
666C23×C47—44no—
667C23×C47—44no—
668C23×C47—44no—
669C23×C47C22×D412yes—
670C23×C47C22×D412yes—
671C23×C47H(5,𝔽2)12yes—
672C23×C47H(5,𝔽2)12yes—
673C23×C47C2511yescharacteristic
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—44no—
696C22×D47—82no—
697C22×D47—82no—
698C22×D47—82no—
699C22×D47—82no—
700C22×D47—82no—
701C22×D47—82no—
702Q8×C47—44no—
703D4×C47—44no—
704D4×C47—44no—
705D4×C47—44no—
706D4×C47—44no—
707D4×C47—44no—
708D4×C47—44no—
709D4×C47—44no—
710C2×C4×C47—28no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—44no—
736C2×C4×C47—44no—
737C2×C4×C47—44no—
738C2×C4×C47—44no—
739C2×C4×C47—44no—
740C2×C4×C47—44no—
741C2×C4×C47—44no—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C2×C4×C47C22×D412yes—
745C2×C4×C47C22×D412yes—
746C2×C4×C47C22×D412yes—
747C2×C4×C47H(5,𝔽2)12yes—
748C22⋊D47—44no—
749C22⋊D47—82no—
750C22⋊D47—82no—
751C22⋊D47—82no—
752C22⋊D47—82no—
753C22⋊D47—82no—
754C22⋊D47—82no—
755C22⋊D47—82no—
756C22⋊D47—82no—
757C22⋊D47—82no—
758C22⋊D47—82no—
759C22⋊D47—82no—
760C22⋊D47—82no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—82no—
801D188—82no—
802D188—82no—
803C4×D47—82no—
804Dic94—82no—
805#36724—471nomaximal, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
812C22×C47—22no—
813C22×C47—22no—
814C22×C47—22no—
815C22×C47—22no—
816C22×C47—22no—
817C22×C47—22no—
818C22×C47—416no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47C23×D411yescharacteristic
843C22×C47C2×H(5,𝔽2)11yescharacteristic
844C22×C47C2×H(5,𝔽2)11yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47#58511yescharacteristic
847C22×C47#58511yescharacteristic
848C22×C47#58511yescharacteristic
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—88no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—22no—
875C4×C47—22no—
876C4×C47—22no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881Dic47—41no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538—471no—
895C2×#525D4711yescharacteristic, complemented
896#2849—471no—
897#2847—471no—
898#2705—471no—
899#2702—471no—
900#2700—471no—
901#2699—471no—
902#2687—471no—
903#2682—471no—
904#2681—471no—
905#2681—471no—
906#2679—471no—
907#2678—471no—
908#2678—471no—
909#2678—471no—
910#2672—471no—
911#2670—471no—
912#2669—471no—
913#2669—471no—
914#2635—471no—
915#2630—471no—
916#2610—471no—
917#2603—471no—
918#2601—471no—
919#2600—471no—
920#2544—471no—
921#2534—471no—
922#2407—471no—
923#2404—471no—
924#2319—471no—
925C2×C47—42no—
926C2×C47—42no—
927C2×C47—42no—
928C2×C47—42no—
929C2×C47—81no—
930C2×C47#344911yescharacteristic
931C2×C47#348411yescharacteristic
932C2×C47#348811yescharacteristic
933C2×C47#353311yescharacteristic
934C2×C47#353411yescharacteristic
935C2×C47#354011yescharacteristic
936C2×C47#354211yescharacteristic
937D47—81no—
938D47—81no—
939D47—81no—
940C22×#41C2×D4711yescharacteristic
941C24×C4C2×D4711yescharacteristic, complemented
942#538—948no—
943C2×#127—471no—
944C2×#126—471no—
945C2×#126—471no—
946C2×#124—471no—
947C2×#124—471no—
948C2×#124—471no—
949#525—28no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123C2×D4711yescharacteristic
955C2×#123C2×D4711yescharacteristic, complemented
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8C2×D4711yescharacteristic, complemented
959C2×C22⋊Q8C2×D4711yescharacteristic, complemented
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121—471no—
966C2×#121C2×D4711yescharacteristic
967C2×#121C2×D4711yescharacteristic
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120C2×D4711yescharacteristic
977C2×#120C2×D4711yescharacteristic, complemented
978C2×C4×D4—471no—
979C2×C4×D4C2×D4711yescharacteristic
980C2×C4×D4C2×D4711yescharacteristic
981C2×C4×D4C2×D4711yescharacteristic, complemented
982C2×C4×D4C2×D4711yescharacteristic, complemented
983C2×#117C2×D4711yescharacteristic, complemented
984C22×C22⋊C4—471no—
985#400—471no—
986#399—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#397—471no—
991#397—471no—
992#397—471no—
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#395—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394—471no—
1014#394—471no—
1015#394—471no—
1016#394—471no—
1017#394—471no—
1018#394—471no—
1019#393—471no—
1020#393—471no—
1021#393—471no—
1022#392—471no—
1023#392—471no—
1024#392—471no—
1025#392—471no—
1026#392—471no—
1027#392—471no—
1028#392—471no—
1029#392—471no—
1030#392—471no—
1031#392—471no—
1032#392—471no—
1033#391—471no—
1034#391—471no—
1035#390—471no—
1036#390—471no—
1037#390—471no—
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390—471no—
1043#390—471no—
1044#389—471no—
1045#389—471no—
1046#389—471no—
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#387—471no—
1062#387—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385—471no—
1084#385—471no—
1085#381—471no—
1086#381—471no—
1087#381—471no—
1088#381—471no—
1089#380—471no—
1090#380—471no—
1091#380—471no—
1092#380—471no—
1093#379—471no—
1094#379—471no—
1095C4×C4⋊C4—471no—
1096#376—471no—
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25C22×D4711yescharacteristic
1100C2×#41—24no—
1101C2×#41—42no—
1102C2×#41—42no—
1103C22×Q8—471no—
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4C22×D4711yescharacteristic
1121C22×D4C22×D4711yescharacteristic
1122C22×D4C22×D4711yescharacteristic
1123C22×D4C22×D4711yescharacteristic
1124C22×D4C22×D4711yescharacteristic
1125C22×D4C22×D4711yescharacteristic
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4C22×D4711yescharacteristic
1133C23×C4C22×D4711yescharacteristic
1134C23×C4C22×D4711yescharacteristic
1135C23×C4C22×D4711yescharacteristic
1136C23×C4C22×D4711yescharacteristic
1137C23×C4C22×D4711yescharacteristic
1138C23×C4C22×D4711yescharacteristic
1139C23×C4C22×D4711yescharacteristic
1140#127—1882no—
1141#126—944no—
1142#126—944no—
1143#124—944no—
1144#124—944no—
1145#124—1882no—
1146#123—24no—
1147#123—24no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—24no—
1157#121—24no—
1158#121—944no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—24no—
1165#120—24no—
1166#120—944no—
1167#120—944no—
1168#120—1882no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—944no—
1178C4×D4C22⋊D4718yescomplemented
1179#117—24no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4—471no—
1198C2×C4⋊C4C22×D4711yescharacteristic
1199C2×C4⋊C4C22×D4711yescharacteristic
1200C2×C4⋊C4C22×D4711yescharacteristic
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—944no—
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42—471no—
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
1272#95—471no—
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95—471no—
1291#95—471no—
1292#95—471no—
1293#95—471no—
1294#95—471no—
1295#95—471no—
1296#95—471no—
1297#95—471no—
1298#95—471no—
1299#95—471no—
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—471no—
1308C24—471no—
1309C24—471no—
1310C24—942no—
1311C24—1881no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24C23×D4711yescharacteristic
1318C24C23×D4711yescharacteristic
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—41no—
1326C2×Q8—942no—
1327C2×Q8—1881no—
1328C2×Q8—1881no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—1881no—
1362C2×D4—1881no—
1363C2×D4—1881no—
1364C2×D4—1881no—
1365C2×D4—1881no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4—1881no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—1881no—
1385C2×D4—1881no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4C2×C22⋊D4714yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—416no—
1418C22×C4—471no—
1419C22×C4—471no—
1420C22×C4—471no—
1421C22×C4—471no—
1422C22×C4—471no—
1423C22×C4—471no—
1424C22×C4—471no—
1425C22×C4—471no—
1426C22×C4—471no—
1427C22×C4—471no—
1428C22×C4—471no—
1429C22×C4—471no—
1430C22×C4—471no—
1431C22×C4—942no—
1432C22×C4—942no—
1433C22×C4—1881no—
1434C22×C4—1881no—
1435C22×C4—1881no—
1436C22×C4—1881no—
1437C22×C4C2×C22⋊D4714yes—
1438C22×C4C2×C22⋊D4714yes—
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—942no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—1881no—
1461C4⋊C4—1881no—
1462C4⋊C4—1881no—
1463C4⋊C4—1881no—
1464C4⋊C4—1881no—
1465C4⋊C4—1881no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4—1881no—
1471C4⋊C4—1881no—
1472C4⋊C4C2×C22⋊D4714yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—942no—
1482C22⋊C4—942no—
1483C22⋊C4—942no—
1484C22⋊C4—942no—
1485C22⋊C4—942no—
1486C22⋊C4—942no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—1881no—
1501C22⋊C4—1881no—
1502C22⋊C4—1881no—
1503C22⋊C4—1881no—
1504C22⋊C4—1881no—
1505C22⋊C4—1881no—
1506C22⋊C4—1881no—
1507C22⋊C4—1881no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊C4C2×C22⋊D4714yes—
1532C22⋊C4C2×C22⋊D4714yes—
1533C42—22no—
1534C42—942no—
1535C42—1881no—
1536C42—1881no—
1537C42—1881no—
1538C42—1881no—
1539C42C2×C22⋊D4714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—941no—
1579C23—941no—
1580C23—941no—
1581C23—941no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—941no—
1596C23—941no—
1597C23—941no—
1598C23—941no—
1599C23—3762no—
1600C23—3762no—
1601C23—3762no—
1602C23—3762no—
1603C23—3762no—
1604C23—3762no—
1605C23—1884no—
1606C23C22×C22⋊D4712yes—
1607C23C22×C22⋊D4712yes—
1608C23#1309406912yes—
1609C23#1309407012yes—
1610C23C24×D4711yescharacteristic
1611Q8—44no—
1612Q8—3762no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—3762no—
1628D4—3762no—
1629D4—3762no—
1630D4—3762no—
1631D4—3762no—
1632D4—3762no—
1633D4—3762no—
1634D4—1884no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—3762no—
1707C2×C4—3762no—
1708C2×C4C22×C22⋊D4712yes—
1709C2×C4C22×C22⋊D4712yes—
1710C2×C4C22×C22⋊D4712yes—
1711C2×C4C22×C22⋊D4712yes—
1712C2×C4C22×C22⋊D4712yes—
1713C2×C4#1309406912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—3768no—
1751C22—1881no—
1752C22—1881no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22C23×C22⋊D4711yescharacteristic
1773C22C2×#1309406911yescharacteristic
1774C22C2×#1309406911yescharacteristic
1775C22C2×#1309407011yescharacteristic
1776C22#1568995911yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568995911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—1881no—
1790C4—1881no—
1791C4—1881no—
1792C4—1881no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—3761no—
1808C2—3761no—
1809C2—3761no—
1810C2#2025671711yescharacteristic
1811C2#2025702311yescharacteristic
1812C2#2025705711yescharacteristic
1813C2#2025755211yescharacteristic
1814C2#2025757211yescharacteristic
1815C2#2025765611yescharacteristic
1816C2#2025769611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#525C2
hypercenterC2×#525D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. #20251680C2semidirect
3. #20251670C2semidirect
4. #20250057C2semidirect
5. #20250012C2semidirect
6. #20249982C2semidirect
7. #20249971C2semidirect
8. #20249803C2semidirect
9. #20249753C2semidirect
10. #20249743C2semidirect
11. #20249736C2semidirect
12. #20249722C2semidirect
13. #20249716C2semidirect
14. #20249713C2semidirect
15. #20249707C2semidirect
16. #20249633C2semidirect
17. #20249610C2semidirect
18. #20249602C2semidirect
19. #20249600C2semidirect
20. #20249272C2semidirect
21. #20249225C2semidirect
22. #20249075C2semidirect
23. #20249009C2semidirect
24. #20248985C2semidirect
25. #20248970C2semidirect
26. #20248355C2semidirect
27. #20248274C2semidirect
28. #20246727C2semidirect
29. #20246703C2semidirect
30. #20246031C2semidirect
31. C2×C47×#525C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094018C22semidirect
36. C2×#13094012C22semidirect
37. C2×#13094011C22semidirect
39. C2×#13094009C22semidirect
43. C2×#13094001C22semidirect
44. C2×#13094000C22semidirect
50. C2×#13093995C22semidirect
51. C2×#13093994C22semidirect
54. C2×#13093993C22semidirect
58. C2×#13093992C22semidirect
59. C2×C4×C22⋊D47C22semidirect
60. C22×(C2×D47)⋊C4C22semidirect
61. #15689062C22semidirect
62. #15689059C22semidirect
63. #15689056C22semidirect
64. #15689056C22semidirect
65. #15689054C22semidirect
66. #15689051C22semidirect
67. #15689051C22semidirect
68. #15689049C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689045C22semidirect
72. #15689045C22semidirect
73. #15689045C22semidirect
74. #15689045C22semidirect
75. #15689043C22semidirect
76. #15689040C22semidirect
77. #15689040C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
85. #15689039C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
92. #15689037C22semidirect
93. #15689037C22semidirect
94. #15689037C22semidirect
95. #15689035C22semidirect
96. #15689034C22semidirect
97. #15689034C22semidirect
99. #15689032C22semidirect
107. #15689031C22semidirect
108. #15689031C22semidirect
109. #15689030C22semidirect
110. #15689028C22semidirect
113. #15689026C22semidirect
114. #15689024C22semidirect
118. #15689023C22semidirect
119. #15689023C22semidirect
120. #15689022C22semidirect
121. #15689022C22semidirect
122. #15689018C22semidirect
123. #15689017C22semidirect
124. #15689017C22semidirect
125. #15689017C22semidirect
126. #15689016C22semidirect
127. #15689016C22semidirect
128. #15689016C22semidirect
129. #15689016C22semidirect
130. #15689014C22semidirect
131. #15689014C22semidirect
132. #15689014C22semidirect
133. #15689013C22semidirect
134. #15689013C22semidirect
135. #15689013C22semidirect
136. #15689011C22semidirect
137. #15689007C22semidirect
138. #15689004C22semidirect
140. #15689003C22semidirect
148. #15689002C22semidirect
149. #15689002C22semidirect
150. #15689002C22semidirect
151. #15689002C22semidirect
152. #15689002C22semidirect
153. #15689002C22semidirect
154. #15688999C22semidirect
155. #15688996C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688996C22semidirect
159. #15688996C22semidirect
160. #15688994C22semidirect
161. #15688986C22semidirect
162. #15688986C22semidirect
163. #15688986C22semidirect
164. #15688984C22semidirect
165. #15688983C22semidirect
166. #15688983C22semidirect
167. #15688983C22semidirect
168. #15688983C22semidirect
169. #15688979C22semidirect
170. #15688978C22semidirect
171. C4×C4⋊Dic47C22semidirect
172. #15688969C22semidirect
174. C24×C4×C47C22semidirect
177. C2×#123×C47C22semidirect
178. C2×C22⋊Q8×C47C22semidirect
179. C2×C22⋊Q8×C47C22semidirect
183. C2×#120×C47C22semidirect
186. C2×C4×D4×C47C22semidirect
187. C2×C4×D4×C47C22semidirect
188. C2×#117×C47C22semidirect
371. C4×D4×C47D4semidirect
895. C2×#525D47semidirect
941. C24×C4C2×D47semidirect
955. C2×#123C2×D47semidirect
958. C2×C22⋊Q8C2×D47semidirect
959. C2×C22⋊Q8C2×D47semidirect
977. C2×#120C2×D47semidirect
981. C2×C4×D4C2×D47semidirect
982. C2×C4×D4C2×D47semidirect
983. C2×#117C2×D47semidirect
1097. C47#36724semidirect
1178. C4×D4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
#202516802
#202516702
#202500572
#202500122
#202499822
#202499712
#202498032
#202497532
#202497432
#202497362
#202497222
#202497162
#202497132
#202497072
#202496332
#202496102
#202496022
#202496002
#202492722
#202492252
#202490752
#202490092
#202489852
#202489702
#202483552
#202482742
#202467272
#202467032
#202460312
C2×C47×#5252
#3672447