Finite Group Databasebeta

← #26425177

Subgroups — #26425177

Order 12032.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251667C211yesmaximal, characteristic, complemented
3#20251242C211yesmaximal, characteristic, complemented
4#20251106C211yesmaximal, characteristic, complemented
5#20250707C211yesmaximal, characteristic, complemented
6#20250664C211yesmaximal, characteristic, complemented
7#20250654C211yesmaximal, characteristic, complemented
8#20250614C211yesmaximal, characteristic, complemented
9#20250491C211yesmaximal, characteristic, complemented
10#20250122C211yesmaximal, characteristic, complemented
11#20250119C211yesmaximal, characteristic, complemented
12#20250082C211yesmaximal, characteristic, complemented
13#20250028C211yesmaximal, characteristic, complemented
14#20249978C211yesmaximal, characteristic, complemented
15#20249826C211yesmaximal, characteristic, complemented
16#20249659C211yesmaximal, characteristic, complemented
17#20249649C211yesmaximal, characteristic, complemented
18#20249620C211yesmaximal, characteristic, complemented
19#20249163C211yesmaximal, characteristic, complemented
20#20249126C211yesmaximal, characteristic, complemented
21#20248614C211yesmaximal, characteristic, complemented
22#20248346C211yesmaximal, characteristic, complemented
23#20247023C211yesmaximal, characteristic, complemented
24#20246926C211yesmaximal, characteristic, complemented
25#20246850C211yesmaximal, characteristic, complemented
26#20246844C211yesmaximal, characteristic, complemented
27#20246741C211yesmaximal, characteristic, complemented
28#20246086C211yesmaximal, characteristic, complemented
29#20246014C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094020C2211yescharacteristic
35C2×#13094020C2211yescharacteristic
36C2×#13094009C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094007C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13093997C2211yescharacteristic, complemented
41C2×#13093996C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093995C2211yescharacteristic, complemented
46C2×#13093995C2211yescharacteristic, complemented
47C2×#13093994C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×#13093992C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×D4×Dic47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C22×C22⋊Dic47C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55#15689064C2211yescharacteristic, complemented
56#15689061C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689053C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689047C2211yescharacteristic, complemented
72#15689041C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic, complemented
77#15689038C2211yescharacteristic, complemented
78#15689038C2211yescharacteristic, complemented
79#15689038C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689037C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic, complemented
86#15689037C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic, complemented
88#15689037C2211yescharacteristic, complemented
89#15689032C2211yescharacteristic
90#15689032C2211yescharacteristic
91#15689032C2211yescharacteristic, complemented
92#15689031C2211yescharacteristic
93#15689031C2211yescharacteristic
94#15689031C2211yescharacteristic
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic, complemented
97#15689031C2211yescharacteristic, complemented
98#15689031C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689014C2211yescharacteristic, complemented
109#15689014C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689011C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689009C2211yescharacteristic, complemented
116#15689008C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689006C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689003C2211yescharacteristic
124#15689003C2211yescharacteristic
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic, complemented
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic, complemented
129#15689002C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689000C2211yescharacteristic
134#15689000C2211yescharacteristic, complemented
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688999C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic
150#15688996C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688990C2211yescharacteristic, complemented
157#15688987C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688984C2211yescharacteristic, complemented
161#15688983C2211yescharacteristic
162#15688981C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688981C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688979C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#121×C47C2211yescharacteristic
173C2×#121×C47C2211yescharacteristic, complemented
174C2×#120×C47C2211yescharacteristic
175C2×#120×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#396C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#392C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47—24no—
191C22×C22⋊D47—42no—
192C22×C22⋊D47—42no—
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
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094020—42no—
219#13094020—42no—
220#13094009—42no—
221#13094009—42no—
222#13094007—42no—
223#13094006—42no—
224#13093997—42no—
225#13093996—24no—
226#13093996—42no—
227#13093996—42no—
228#13093996—42no—
229#13093995—42no—
230#13093995—42no—
231#13093994—42no—
232#13093993—42no—
233#13093992—42no—
234#13093992—42no—
235D4×Dic47—24no—
236C4×C22⋊D47—42no—
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
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⋊Dic47—42no—
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×(C2×D47)⋊C4—42no—
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
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
334C25×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345#121×C47—42no—
346#121×C47—42no—
347#120×C47—42no—
348#120×C47—42no—
349C4×D4×C47—42no—
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47—42no—
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
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—416no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—22no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47#4114yes—
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C2×D188—22no—
503C2×D188—22no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—416no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—41no—
526C4⋊C4×C47—41no—
527C4⋊C4×C47—41no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C42×C47—41no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
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—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
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—41no—
590Dic47⋊C4—22no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603C4×Dic47—22no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
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—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47—82no—
643C23×C47—82no—
644C23×C47—82no—
645C23×C47—82no—
646C23×C47C2×#4112yes—
647C23×C47H(5,𝔽2)12yes—
648C23×C47H(5,𝔽2)12yes—
649C23×C47C2511yescharacteristic
650C22×D47—28no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—44no—
675C22×D47—44no—
676C22×D47H(5,𝔽2)12yes—
677C22×D47H(5,𝔽2)12yes—
678D4×C47—44no—
679D4×C47—44no—
680D4×C47—82no—
681D4×C47—82no—
682D4×C47—82no—
683D4×C47—82no—
684D4×C47—82no—
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—21no—
713C2×C4×C47—21no—
714C2×C4×C47—44no—
715C2×C4×C47—82no—
716C2×C4×C47—82no—
717C2×C4×C47H(5,𝔽2)12yes—
718C22⋊D47—44no—
719C22⋊D47—44no—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—44no—
723C22⋊D47—82no—
724C22⋊D47—82no—
725C22⋊D47—82no—
726C22⋊D47—82no—
727C22⋊D47—82no—
728C22⋊D47—82no—
729C22⋊D47—82no—
730C22⋊D47—82no—
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×Dic47C2×#4112yes—
773C2×Dic47C2×#4112yes—
774D188—82no—
775D188—82no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—44no—
780C4×D47—82no—
781#36794—471nomaximal, Sylow
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
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—88no—
817C22×C47#54014yes—
818C22×C47C22×#4111yescharacteristic
819C22×C47C2×H(5,𝔽2)11yescharacteristic
820C22×C47C2×H(5,𝔽2)11yescharacteristic
821C22×C47C2×H(5,𝔽2)11yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47#58511yescharacteristic
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—22no—
831C2×D47—416no—
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—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C4×C47—22no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857Dic47—22no—
858Dic47—22no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870#2849—471no—
871#2847—471no—
872#2797—471no—
873#2786—471no—
874#2756—471no—
875#2753—471no—
876#2752—471no—
877#2749—471no—
878#2740—471no—
879#2709—471no—
880#2709—471no—
881#2706—471no—
882#2703—471no—
883#2699—471no—
884#2688—471no—
885#2673—471no—
886#2673—471no—
887#2671—471no—
888#2622—471no—
889#2617—471no—
890#2569—471no—
891#2543—471no—
892#2433—471no—
893#2424—471no—
894#2424D4711yescharacteristic, complemented
895#2418—471no—
896#2418—471no—
897#2408—471no—
898#2325—471no—
899#2318—471no—
900C2×#386—471no—
901C2×C47—24no—
902C2×C47—81no—
903C2×C47—81no—
904C2×C47—81no—
905C2×C47—81no—
906C2×C47C2×#54011yescharacteristic
907C2×C47#349011yescharacteristic
908C2×C47#350611yescharacteristic
909C2×C47#353211yescharacteristic
910C2×C47#353411yescharacteristic
911C2×C47#353411yescharacteristic
912C2×C47#353711yescharacteristic
913D47—42no—
914D47—42no—
915D47—81no—
916C23×D4—471no—
917C24×C4—471no—
918C2×#127—471no—
919C2×#127—471no—
920C2×#123—471no—
921C2×#123—471no—
922C2×#123—471no—
923C2×#123—471no—
924C2×#121—471no—
925C2×#121—471no—
926C2×#121—471no—
927C2×#121—471no—
928C2×#121—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121C2×D4711yescharacteristic
932C2×#121C2×D4711yescharacteristic, complemented
933C2×#120—471no—
934C2×#120—471no—
935C2×#120—471no—
936C2×#120—471no—
937C2×#120C2×D4711yescharacteristic
938C2×#120C2×D4711yescharacteristic
939C2×C4×D4—471no—
940C2×C4×D4—471no—
941C2×C4×D4C2×D4711yescharacteristic
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4C2×D4711yescharacteristic
945#400—471no—
946#400—471no—
947#399—471no—
948#399—471no—
949#398—471no—
950#398—471no—
951#398—471no—
952#397—471no—
953#397—471no—
954#397—471no—
955#397—471no—
956#397—471no—
957#397—471no—
958#397—471no—
959#397—471no—
960#397—471no—
961#396—471no—
962#396C2×D4711yescharacteristic, complemented
963#394—471no—
964#394—471no—
965#394—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394C2×D4711yescharacteristic, complemented
981#394C2×D4711yescharacteristic, complemented
982#392—471no—
983#392—471no—
984#392—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392—471no—
990#392—471no—
991#392—471no—
992#392C2×D4711yescharacteristic, complemented
993#390—471no—
994#390—471no—
995#390—471no—
996#390—471no—
997#390—471no—
998#390C2×D4711yescharacteristic, complemented
999#388—471no—
1000#388—471no—
1001#388—471no—
1002#388—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388C2×D4711yescharacteristic, complemented
1011#387—471no—
1012#387—471no—
1013#387—471no—
1014#387—471no—
1015#387—471no—
1016#387—471no—
1017#387—471no—
1018#387—471no—
1019#386—471no—
1020#386—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#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386C2×D4711yescharacteristic
1046#386C2×D4711yescharacteristic, complemented
1047#385—471no—
1048#385—471no—
1049#385—471no—
1050#385—471no—
1051#385—471no—
1052#385—471no—
1053#385—471no—
1054#385C2×D4711yescharacteristic
1055#383—471no—
1056#382—471no—
1057#381—471no—
1058#381—471no—
1059#381—471no—
1060#380—471no—
1061#380—471no—
1062#380—471no—
1063#380—471no—
1064#380—471no—
1065#380—471no—
1066#379—471no—
1067#379—471no—
1068C4×C22⋊C4—471no—
1069C2×#95—471no—
1070C2×#95—471no—
1071C47#3679411yescharacteristic, complemented, Sylow
1072C25—471no—
1073C25C22×D4711yescharacteristic
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×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—944no—
1090C22×D4—1882no—
1091C22×D4—1882no—
1092C22×D4C22×D4711yescharacteristic
1093C22×D4C22×D4711yescharacteristic
1094C22×D4C22×D4711yescharacteristic
1095C22×D4C22×D4711yescharacteristic
1096C22×D4C22×D4711yescharacteristic
1097C22×D4C22×D4711yescharacteristic
1098C22×D4C22×D4711yescharacteristic
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—471no—
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—1882no—
1109C23×C4—1882no—
1110C23×C4—1882no—
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113C23×C4C22×D4711yescharacteristic
1114#127—1882no—
1115#127—1882no—
1116#123—1882no—
1117#123—1882no—
1118#123—1882no—
1119#123—1882no—
1120#121—42no—
1121#121—42no—
1122#121—944no—
1123#121—1882no—
1124#121—1882no—
1125#121—1882no—
1126#121—1882no—
1127#121—1882no—
1128#121—1882no—
1129#120—42no—
1130#120—42no—
1131#120—1882no—
1132#120—1882no—
1133#120—1882no—
1134#120—1882no—
1135C4×D4—42no—
1136C4×D4—944no—
1137C4×D4—1882no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C4⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
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—1882no—
1203C2×C22⋊C4—1882no—
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C42—471no—
1220C2×C42—471no—
1221C2×C42—471no—
1222C2×C42—471no—
1223C2×C42C22×D4711yescharacteristic
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—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#95C22×D4711yescharacteristic
1257#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—471no—
1268C24—471no—
1269C24—471no—
1270C24—942no—
1271C24—942no—
1272C24—942no—
1273C24—942no—
1274C24—942no—
1275C24—1881no—
1276C24—1881no—
1277C24C23×D4711yescharacteristic
1278C24C23×D4711yescharacteristic
1279C24C23×D4711yescharacteristic
1280C24C23×D4711yescharacteristic
1281C24C23×D4711yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—942no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—942no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
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—1881no—
1322C2×D4—1881no—
1323C2×D4—1881no—
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—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—18816no—
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—471no—
1359C22×C4—471no—
1360C22×C4—474no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—1881no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—18816no—
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×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—942no—
1414C4⋊C4—942no—
1415C4⋊C4—942no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C4⋊C4—1881no—
1425C4⋊C4—1881no—
1426C4⋊C4—1881no—
1427C4⋊C4—1881no—
1428C4⋊C4—1881no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
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—
1487C42—41no—
1488C42—942no—
1489C42—1881no—
1490C42—1881no—
1491C42—1881no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
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—44no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—472no—
1532C23—472no—
1533C23—948no—
1534C23—941no—
1535C23—941no—
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—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—1884no—
1554C23—1884no—
1555C23—1884no—
1556C23—1884no—
1557C23—1884no—
1558C23—1884no—
1559C23#41×D4712yes—
1560C23#1309406912yes—
1561C23#1309406912yes—
1562C23C24×D4711yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570D4—3762no—
1571D4—3762no—
1572D4—3762no—
1573D4—3762no—
1574D4—3762no—
1575D4—3762no—
1576D4—3762no—
1577D4—3762no—
1578D4—3762no—
1579D4—3762no—
1580D4—1884no—
1581D4—1884no—
1582D4—1884no—
1583D4—1884no—
1584D4—1884no—
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—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—44no—
1615C2×C4—82no—
1616C2×C4—82no—
1617C2×C4—472no—
1618C2×C4—472no—
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—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—3762no—
1657C2×C4—3762no—
1658C2×C4—3762no—
1659C2×C4—1884no—
1660C2×C4—1884no—
1661C2×C4—1884no—
1662C2×C4—1884no—
1663C2×C4—1884no—
1664C2×C4—1884no—
1665C2×C4#1309406912yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
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—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—942no—
1702C22—942no—
1703C22—942no—
1704C22—942no—
1705C22—942no—
1706C22—942no—
1707C22—18816no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22—1881no—
1717C22—1881no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22#1568972314yes—
1724C22C2×#41×D4711yescharacteristic
1725C22H(5,𝔽2)×D4711yescharacteristic
1726C22H(5,𝔽2)×D4711yescharacteristic
1727C22C2×#1309406911yescharacteristic
1728C22C2×#1309406911yescharacteristic
1729C22C2×#1309406911yescharacteristic
1730C22#1568995911yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—942no—
1742C4—942no—
1743C4—1881no—
1744C4—1881no—
1745C4—1881no—
1746C4—1881no—
1747C4—1881no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—3761no—
1760C2—1882no—
1761C2—1882no—
1762C2C2×#1568972311yescharacteristic
1763C2#2025707411yescharacteristic
1764C2#2025723111yescharacteristic
1765C2#2025753811yescharacteristic
1766C2#2025757011yescharacteristic
1767C2#2025757311yescharacteristic
1768C2#2025761911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2424C2
hypercenter#2424D47
hypocenterC47#36794
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251667C2semidirect
3. #20251242C2semidirect
4. #20251106C2semidirect
5. #20250707C2semidirect
6. #20250664C2semidirect
7. #20250654C2semidirect
8. #20250614C2semidirect
9. #20250491C2semidirect
10. #20250122C2semidirect
11. #20250119C2semidirect
12. #20250082C2semidirect
13. #20250028C2semidirect
14. #20249978C2semidirect
15. #20249826C2semidirect
16. #20249659C2semidirect
17. #20249649C2semidirect
18. #20249620C2semidirect
19. #20249163C2semidirect
20. #20249126C2semidirect
21. #20248614C2semidirect
22. #20248346C2semidirect
23. #20247023C2semidirect
24. #20246926C2semidirect
25. #20246850C2semidirect
26. #20246844C2semidirect
27. #20246741C2semidirect
28. #20246086C2semidirect
29. #20246014C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2424C2semidirect
36. C2×#13094009C22semidirect
37. C2×#13094009C22semidirect
38. C2×#13094007C22semidirect
39. C2×#13094006C22semidirect
40. C2×#13093997C22semidirect
45. C2×#13093995C22semidirect
46. C2×#13093995C22semidirect
55. #15689064C22semidirect
56. #15689061C22semidirect
57. #15689059C22semidirect
58. #15689058C22semidirect
59. #15689057C22semidirect
60. #15689056C22semidirect
61. #15689053C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689051C22semidirect
65. #15689051C22semidirect
66. #15689051C22semidirect
67. #15689051C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689049C22semidirect
71. #15689047C22semidirect
72. #15689041C22semidirect
75. #15689039C22semidirect
76. #15689039C22semidirect
77. #15689038C22semidirect
78. #15689038C22semidirect
79. #15689038C22semidirect
80. #15689038C22semidirect
81. #15689038C22semidirect
82. #15689038C22semidirect
83. #15689037C22semidirect
84. #15689037C22semidirect
85. #15689037C22semidirect
86. #15689037C22semidirect
87. #15689037C22semidirect
88. #15689037C22semidirect
91. #15689032C22semidirect
96. #15689031C22semidirect
97. #15689031C22semidirect
98. #15689031C22semidirect
103. #15689023C22semidirect
104. #15689017C22semidirect
105. #15689017C22semidirect
106. #15689017C22semidirect
107. #15689016C22semidirect
108. #15689014C22semidirect
109. #15689014C22semidirect
110. #15689014C22semidirect
111. #15689013C22semidirect
112. #15689012C22semidirect
113. #15689011C22semidirect
114. #15689011C22semidirect
115. #15689009C22semidirect
116. #15689008C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689006C22semidirect
120. #15689005C22semidirect
121. #15689004C22semidirect
122. #15689004C22semidirect
126. #15689003C22semidirect
128. #15689002C22semidirect
129. #15689002C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
134. #15689000C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688999C22semidirect
150. #15688996C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688990C22semidirect
157. #15688987C22semidirect
158. #15688985C22semidirect
159. #15688985C22semidirect
160. #15688984C22semidirect
164. #15688981C22semidirect
165. #15688980C22semidirect
166. #15688980C22semidirect
173. C2×#121×C47C22semidirect
178. C47×#396C22semidirect
179. C47×#394C22semidirect
180. C47×#394C22semidirect
181. C47×#392C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
185. C47×#386C22semidirect
894. #2424D47semidirect
932. C2×#121C2×D47semidirect
962. #396C2×D47semidirect
980. #394C2×D47semidirect
981. #394C2×D47semidirect
992. #392C2×D47semidirect
998. #390C2×D47semidirect
1010. #388C2×D47semidirect
1046. #386C2×D47semidirect
1071. C47#36794semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516672
#202512422
#202511062
#202507072
#202506642
#202506542
#202506142
#202504912
#202501222
#202501192
#202500822
#202500282
#202499782
#202498262
#202496592
#202496492
#202496202
#202491632
#202491262
#202486142
#202483462
#202470232
#202469262
#202468502
#202468442
#202467412
#202460862
#202460142
C2×#156889992
C47×#24242
#3679447