Finite Group Databasebeta

← #26423349

Subgroups — #26423349

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×#15689709C211yesmaximal, characteristic, complemented
2C2×#15689634C211yesmaximal, characteristic, complemented
3#20251670C211yesmaximal, characteristic, complemented
4#20250065C211yesmaximal, characteristic, complemented
5#20250020C211yesmaximal, characteristic, complemented
6#20249986C211yesmaximal, characteristic, complemented
7#20249975C211yesmaximal, characteristic, complemented
8#20249812C211yesmaximal, characteristic, complemented
9#20249754C211yesmaximal, characteristic, complemented
10#20249741C211yesmaximal, characteristic, complemented
11#20249740C211yesmaximal, characteristic, complemented
12#20249722C211yesmaximal, characteristic, complemented
13#20249717C211yesmaximal, characteristic, complemented
14#20249714C211yesmaximal, characteristic, complemented
15#20249707C211yesmaximal, characteristic, complemented
16#20249642C211yesmaximal, characteristic, complemented
17#20249614C211yesmaximal, characteristic, complemented
18#20249606C211yesmaximal, characteristic, complemented
19#20249602C211yesmaximal, characteristic, complemented
20#20249275C211yesmaximal, characteristic, complemented
21#20249227C211yesmaximal, characteristic, complemented
22#20249071C211yesmaximal, characteristic, complemented
23#20249014C211yesmaximal, characteristic, complemented
24#20248989C211yesmaximal, characteristic, complemented
25#20248974C211yesmaximal, characteristic, complemented
26#20248357C211yesmaximal, characteristic, complemented
27#20248276C211yesmaximal, characteristic, complemented
28#20246732C211yesmaximal, characteristic, complemented
29#20246705C211yesmaximal, characteristic, complemented
30#20246028C211yesmaximal, characteristic, complemented
31C47×#2849C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33#15689709—28no—
34C2×#13094020C2211yescharacteristic
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40#15689634—28no—
41C2×#13094009C2211yescharacteristic, complemented
42C2×#13094007C2211yescharacteristic
43C2×#13094007C2211yescharacteristic, complemented
44C2×#13094006C2211yescharacteristic
45C2×#13094004C2211yescharacteristic, complemented
46C2×#13094003C2211yescharacteristic, complemented
47C2×#13094003C2211yescharacteristic, complemented
48C2×#13094002C2211yescharacteristic, complemented
49C2×#13093998C2211yescharacteristic
50C2×#13093998C2211yescharacteristic
51C2×#13093998C2211yescharacteristic
52C2×#13093998C2211yescharacteristic
53C2×#13093998C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093997C2211yescharacteristic, complemented
56C2×#13093995C2211yescharacteristic
57C2×#13093994C2211yescharacteristic, complemented
58C2×#13093994C2211yescharacteristic, complemented
59C2×#13093993C2211yescharacteristic
60C2×#13093993C2211yescharacteristic
61C2×#13093993C2211yescharacteristic, complemented
62C2×#13093993C2211yescharacteristic, complemented
63C2×#13093992C2211yescharacteristic
64C2×#13093992C2211yescharacteristic
65C2×#13093992C2211yescharacteristic
66C2×#13093986C2211yescharacteristic, complemented
67C2×C4×C22⋊D47C2211yescharacteristic
68C2×C4×C22⋊D47C2211yescharacteristic
69C2×C4×C22⋊D47C2211yescharacteristic, complemented
70C2×C4×C22⋊D47C2211yescharacteristic, complemented
71C2×#13093983C2211yescharacteristic, complemented
72C2×C22⋊C4×D47C2211yescharacteristic, complemented
73#15689063C2211yescharacteristic, complemented
74#15689060C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689047C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689044C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic, complemented
89#15689041C2211yescharacteristic, complemented
90#15689041C2211yescharacteristic, complemented
91#15689040C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic
99#15689038C2211yescharacteristic
100#15689038C2211yescharacteristic
101#15689038C2211yescharacteristic, complemented
102#15689038C2211yescharacteristic, complemented
103#15689038C2211yescharacteristic, complemented
104#15689037C2211yescharacteristic
105#15689037C2211yescharacteristic
106#15689037C2211yescharacteristic
107#15689036C2211yescharacteristic, complemented
108#15689035C2211yescharacteristic, complemented
109#15689035C2211yescharacteristic, complemented
110#15689033C2211yescharacteristic, complemented
111#15689033C2211yescharacteristic, complemented
112#15689032C2211yescharacteristic
113#15689032C2211yescharacteristic
114#15689032C2211yescharacteristic
115#15689032C2211yescharacteristic
116#15689032C2211yescharacteristic
117#15689032C2211yescharacteristic, complemented
118#15689031C2211yescharacteristic
119#15689031C2211yescharacteristic
120#15689031C2211yescharacteristic
121#15689027C2211yescharacteristic, complemented
122#15689027C2211yescharacteristic, complemented
123#15689026C2211yescharacteristic
124#15689024C2211yescharacteristic, complemented
125#15689023C2211yescharacteristic
126#15689023C2211yescharacteristic
127#15689023C2211yescharacteristic
128#15689023C2211yescharacteristic
129#15689023C2211yescharacteristic, complemented
130#15689023C2211yescharacteristic, complemented
131#15689023C2211yescharacteristic, complemented
132#15689022C2211yescharacteristic, complemented
133#15689020C2211yescharacteristic, complemented
134#15689020C2211yescharacteristic, complemented
135#15689017C2211yescharacteristic, complemented
136#15689017C2211yescharacteristic, complemented
137#15689017C2211yescharacteristic, complemented
138#15689016C2211yescharacteristic, complemented
139#15689016C2211yescharacteristic, complemented
140#15689015C2211yescharacteristic, complemented
141#15689015C2211yescharacteristic, complemented
142#15689015C2211yescharacteristic, complemented
143#15689015C2211yescharacteristic, complemented
144#15689015C2211yescharacteristic, complemented
145#15689015C2211yescharacteristic, complemented
146#15689012C2211yescharacteristic, complemented
147#15689011C2211yescharacteristic, complemented
148#15689011C2211yescharacteristic, complemented
149#15689006C2211yescharacteristic, complemented
150#15689004C2211yescharacteristic, complemented
151#15689002C2211yescharacteristic
152#15689002C2211yescharacteristic
153#15689002C2211yescharacteristic
154#15689002C2211yescharacteristic, complemented
155#15689002C2211yescharacteristic, complemented
156#15689002C2211yescharacteristic, complemented
157#15689001C2211yescharacteristic, complemented
158#15689001C2211yescharacteristic, complemented
159#15689001C2211yescharacteristic, complemented
160#15688999C2211yescharacteristic
161#15688999C2211yescharacteristic, complemented
162#15688999C2211yescharacteristic, complemented
163#15688994C2211yescharacteristic, complemented
164#15688994C2211yescharacteristic, complemented
165#15688985C2211yescharacteristic, complemented
166#15688985C2211yescharacteristic, complemented
167#15688983C2211yescharacteristic, complemented
168#15688983C2211yescharacteristic, complemented
169#15688983C2211yescharacteristic, complemented
170#15688982C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172#15688974C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic
176C2×#123×C47C2211yescharacteristic
177C2×#120×C47C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#381C2211yescharacteristic, complemented
188C47×#379C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094020—42no—
219#13094019—24no—
220#13094017—24no—
221#13094010—24no—
222#13094010—24no—
223#13094010—42no—
224#13094009—24no—
225#13094007—24no—
226#13094007—24no—
227#13094006—42no—
228#13094004—24no—
229#13094003—24no—
230#13094003—24no—
231#13094002—42no—
232#13093998—24no—
233#13093998—24no—
234#13093998—24no—
235#13093998—42no—
236#13093998—42no—
237#13093997—24no—
238#13093997—42no—
239#13093995—24no—
240#13093994—24no—
241#13093994—42no—
242#13093993—24no—
243#13093993—24no—
244#13093993—42no—
245#13093993—42no—
246#13093992—24no—
247#13093992—42no—
248#13093992—42no—
249#13093986—24no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—24no—
252C4×C22⋊D47—24no—
253C4×C22⋊D47D418yescomplemented
254#13093983—24no—
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
262C2×C4⋊Dic47C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C22⋊C4×D47—24no—
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C25×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47—24no—
355C23×C4×C47—42no—
356C23×C4×C47—42no—
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363#123×C47—24no—
364#123×C47—42no—
365#120×C47—42no—
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C23×D47—22no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—416no—
440C22×C4×C47C2×D414yes—
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
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⋊D47C2×D414yes—
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506#10625350—416no—
507C2×D188—22no—
508C2×D188—22no—
509C2×D188—22no—
510C2×D188—22no—
511C2×D188—41no—
512C2×D188—41no—
513C2×D188—41no—
514C2×D188—41no—
515C2×D188—41no—
516C2×D188—41no—
517C2×D188—41no—
518C2×D188—41no—
519C2×D188—41no—
520C2×D188—41no—
521C2×D188—41no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47C2×D414yes—
534C2×Dic94—22no—
535C2×Dic94—22no—
536C2×Dic94—22no—
537C2×Dic94—41no—
538C2×Dic94—41no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—41no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573C22⋊Dic47C2×D414yes—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
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)⋊C4C2×D414yes—
604C4⋊Dic47—22no—
605C4⋊Dic47—22no—
606C4⋊Dic47—22no—
607C4⋊Dic47—22no—
608C4⋊Dic47—41no—
609C4⋊Dic47—41no—
610C4⋊Dic47—41no—
611C4⋊Dic47—41no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—22no—
615Dic47⋊C4—22no—
616Dic47⋊C4—41no—
617Dic47⋊C4—41no—
618Dic47⋊C4—41no—
619Dic47⋊C4—41no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4C2×D414yes—
624C4×Dic47—22no—
625C4×Dic47—22no—
626C4×Dic47—41no—
627C4×Dic47—41no—
628C4×Dic47—41no—
629C4×Dic47—41no—
630C4×Dic47C2×D414yes—
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—44no—
657C23×C47—44no—
658C23×C47—44no—
659C23×C47—44no—
660C23×C47—44no—
661C23×C47—44no—
662C23×C47—44no—
663C23×C47C22×D412yes—
664C23×C47H(5,𝔽2)12yes—
665C23×C47H(5,𝔽2)12yes—
666C23×C47C2511yescharacteristic
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
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—44no—
695C22×D47—82no—
696C22×D47—82no—
697C22×D47—82no—
698C22×D47—82no—
699C22×D47—82no—
700C22×D47—82no—
701C22×D47C22×D412yes—
702D4×C47—82no—
703D4×C47—82no—
704D4×C47—82no—
705C2×C4×C47—28no—
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—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—21no—
736C2×C4×C47—44no—
737C2×C4×C47—44no—
738C2×C4×C47—44no—
739C2×C4×C47—44no—
740C2×C4×C47—44no—
741C2×C4×C47C22×D412yes—
742C2×C4×C47C22×D412yes—
743C2×C4×C47H(5,𝔽2)12yes—
744C22⋊D47—44no—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—44no—
749C22⋊D47—44no—
750C22⋊D47—82no—
751C22⋊D47—82no—
752C22⋊D47—82no—
753C22⋊D47—82no—
754C22⋊D47—82no—
755C22⋊D47—82no—
756C22⋊D47—82no—
757C22⋊D47—82no—
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—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×Dic47C22×D412yes—
792C2×Dic47C22×D412yes—
793C2×Dic47C22×D412yes—
794D188—44no—
795D188—44no—
796D188—82no—
797D188—82no—
798D188—82no—
799C4×D47—44no—
800C4×D47—44no—
801C4×D47—82no—
802C4×D47—82no—
803Dic94—44no—
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—416no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
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×C47C23×D411yescharacteristic
836C22×C47C2×H(5,𝔽2)11yescharacteristic
837C22×C47C2×H(5,𝔽2)11yescharacteristic
838C22×C47C2×H(5,𝔽2)11yescharacteristic
839C22×C47#58511yescharacteristic
840C22×C47#58511yescharacteristic
841C22×C47#58511yescharacteristic
842C2×D47—22no—
843C2×D47—22no—
844C2×D47—22no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
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—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882Dic47—22no—
883Dic47—22no—
884Dic47—22no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538—471no—
895C2×#525—471no—
896#2849D4711yescharacteristic, complemented
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—81no—
929C2×C47#344911yescharacteristic
930C2×C47#348411yescharacteristic
931C2×C47#348811yescharacteristic
932C2×C47#353311yescharacteristic
933C2×C47#353411yescharacteristic
934C2×C47#354011yescharacteristic
935C2×C47#354211yescharacteristic
936D47—42no—
937D47—81no—
938D47—81no—
939D47—81no—
940C22×#41—471no—
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—948no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123C2×D4711yescharacteristic
955C2×#123C2×D4711yescharacteristic
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8—471no—
959C2×C22⋊Q8—471no—
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121—471no—
966C2×#121—471no—
967C2×#121—471no—
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×#120—471no—
977C2×#120C2×D4711yescharacteristic
978C2×C4×D4—471no—
979C2×C4×D4—471no—
980C2×C4×D4—471no—
981C2×C4×D4—471no—
982C2×C4×D4—471no—
983C2×#117—471no—
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#386C2×D4711yescharacteristic
1076#386C2×D4711yescharacteristic
1077#386C2×D4711yescharacteristic
1078#386C2×D4711yescharacteristic
1079#385—471no—
1080#385—471no—
1081#385C2×D4711yescharacteristic, complemented
1082#385C2×D4711yescharacteristic, complemented
1083#385C2×D4711yescharacteristic, complemented
1084#385C2×D4711yescharacteristic, complemented
1085#381—471no—
1086#381—471no—
1087#381C2×D4711yescharacteristic, complemented
1088#381C2×D4711yescharacteristic, complemented
1089#380—471no—
1090#380—471no—
1091#380—471no—
1092#380—471no—
1093#379—471no—
1094#379C2×D4711yescharacteristic, complemented
1095C4×C4⋊C4—471no—
1096#376—471no—
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25C22×D4711yescharacteristic
1100C2×#41—944no—
1101C2×#41—1882no—
1102C2×#41—1882no—
1103C22×Q8—471no—
1104C22×Q8—471no—
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×D4—471no—
1121C22×D4—471no—
1122C22×D4—471no—
1123C22×D4—471no—
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×C4—471no—
1133C23×C4—471no—
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—42no—
1148#123—944no—
1149#123—944no—
1150#123—944no—
1151#123—1882no—
1152C22⋊Q8—944no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—944no—
1157#121—944no—
1158#121—944no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—42no—
1165#120—944no—
1166#120—944no—
1167#120—944no—
1168#120—944no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—478no—
1175C4×D4—944no—
1176C4×D4—944no—
1177C4×D4—944no—
1178C4×D4—944no—
1179#117—944no—
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⋊C4—471no—
1199C2×C4⋊C4—471no—
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—944no—
1252C2×C22⋊C4C22×D4711yescharacteristic
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1271C2×C42—471no—
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#95C22×D4711yescharacteristic
1293#95C22×D4711yescharacteristic
1294#95C22×D4711yescharacteristic
1295#95C22×D4711yescharacteristic
1296#95C22×D4711yescharacteristic
1297#95C22×D4711yescharacteristic
1298#95C22×D4711yescharacteristic
1299#95C22×D4711yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—471no—
1308C24—471no—
1309C24—471no—
1310C24—471no—
1311C24—942no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24—1881no—
1318C24C23×D4711yescharacteristic
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—18816no—
1323C2×Q8—942no—
1324C2×Q8—942no—
1325C2×Q8—942no—
1326C2×Q8—1881no—
1327C2×Q8—1881no—
1328C2×Q8—1881no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—474no—
1339C2×D4—942no—
1340C2×D4—942no—
1341C2×D4—942no—
1342C2×D4—942no—
1343C2×D4—942no—
1344C2×D4—942no—
1345C2×D4—942no—
1346C2×D4—942no—
1347C2×D4—942no—
1348C2×D4—942no—
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—1881no—
1360C2×D4—1881no—
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×D4—1881no—
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—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—416no—
1413C22×C4—471no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—474no—
1417C22×C4—471no—
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—942no—
1427C22×C4—942no—
1428C22×C4—942no—
1429C22×C4—1881no—
1430C22×C4—1881no—
1431C22×C4—1881no—
1432C22×C4—1881no—
1433C22×C4—1881no—
1434C22×C4—1881no—
1435C22×C4—1881no—
1436C22×C4—1881no—
1437C22×C4D4×D4714yes—
1438C22×C4C23×D4711yescharacteristic
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—41no—
1453C4⋊C4—474no—
1454C4⋊C4—942no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—942no—
1461C4⋊C4—942no—
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⋊C4—1881no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—474no—
1487C22⋊C4—474no—
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—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—942no—
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⋊C4—1881no—
1532C22⋊C4—1881no—
1533C42—474no—
1534C42—942no—
1535C42—942no—
1536C42—1881no—
1537C42—1881no—
1538C42—1881no—
1539C42—1881no—
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—44no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—472no—
1573C23—941no—
1574C23—941no—
1575C23—941no—
1576C23—941no—
1577C23—941no—
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—941no—
1600C23—3762no—
1601C23—3762no—
1602C23—3762no—
1603C23—3762no—
1604C23—3762no—
1605C23—3762no—
1606C23—1884no—
1607C23C2×D4×D4712yes—
1608C23#1309406912yes—
1609C23#1309407012yes—
1610C23C24×D4711yescharacteristic
1611Q8—3762no—
1612Q8—1884no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—3762no—
1617D4—3762no—
1618D4—3762no—
1619D4—3762no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—1884no—
1628D4—1884no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632D4—1884no—
1633D4—1884no—
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—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—472no—
1672C2×C4—472no—
1673C2×C4—472no—
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—941no—
1707C2×C4—3762no—
1708C2×C4—3762no—
1709C2×C4—1884no—
1710C2×C4—1884no—
1711C2×C4C2×D4×D4712yes—
1712C2×C4C2×D4×D4712yes—
1713C2×C4#1309406912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
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—942no—
1744C22—942no—
1745C22—942no—
1746C22—3768no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
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—
1772C22C22×D4×D4711yescharacteristic
1773C22C2×#1309406911yescharacteristic
1774C22C2×#1309406911yescharacteristic
1775C22C2×#1309407011yescharacteristic
1776C22#1568995911yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568995911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—942no—
1791C4—942no—
1792C4—942no—
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—81no—
1806C2—3761no—
1807C2—3761no—
1808C2—3761no—
1809C2—1882no—
1810C2#2025671811yescharacteristic
1811C2#2025701711yescharacteristic
1812C2#2025704911yescharacteristic
1813C2#2025755911yescharacteristic
1814C2#2025758211yescharacteristic
1815C2#2025765611yescharacteristic
1816C2#2025770411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2849C2
hypercenter#2849D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C2×#15689709C2semidirect
2. C2×#15689634C2semidirect
3. #20251670C2semidirect
4. #20250065C2semidirect
5. #20250020C2semidirect
6. #20249986C2semidirect
7. #20249975C2semidirect
8. #20249812C2semidirect
9. #20249754C2semidirect
10. #20249741C2semidirect
11. #20249740C2semidirect
12. #20249722C2semidirect
13. #20249717C2semidirect
14. #20249714C2semidirect
15. #20249707C2semidirect
16. #20249642C2semidirect
17. #20249614C2semidirect
18. #20249606C2semidirect
19. #20249602C2semidirect
20. #20249275C2semidirect
21. #20249227C2semidirect
22. #20249071C2semidirect
23. #20249014C2semidirect
24. #20248989C2semidirect
25. #20248974C2semidirect
26. #20248357C2semidirect
27. #20248276C2semidirect
28. #20246732C2semidirect
29. #20246705C2semidirect
30. #20246028C2semidirect
31. C47×#2849C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094017C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094010C22semidirect
41. C2×#13094009C22semidirect
43. C2×#13094007C22semidirect
45. C2×#13094004C22semidirect
46. C2×#13094003C22semidirect
47. C2×#13094003C22semidirect
48. C2×#13094002C22semidirect
55. C2×#13093997C22semidirect
57. C2×#13093994C22semidirect
58. C2×#13093994C22semidirect
61. C2×#13093993C22semidirect
62. C2×#13093993C22semidirect
66. C2×#13093986C22semidirect
69. C2×C4×C22⋊D47C22semidirect
70. C2×C4×C22⋊D47C22semidirect
71. C2×#13093983C22semidirect
72. C2×C22⋊C4×D47C22semidirect
73. #15689063C22semidirect
74. #15689060C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689052C22semidirect
79. #15689051C22semidirect
80. #15689049C22semidirect
81. #15689047C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689044C22semidirect
88. #15689041C22semidirect
89. #15689041C22semidirect
90. #15689041C22semidirect
91. #15689040C22semidirect
94. #15689039C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689039C22semidirect
101. #15689038C22semidirect
102. #15689038C22semidirect
103. #15689038C22semidirect
107. #15689036C22semidirect
108. #15689035C22semidirect
109. #15689035C22semidirect
110. #15689033C22semidirect
111. #15689033C22semidirect
117. #15689032C22semidirect
121. #15689027C22semidirect
122. #15689027C22semidirect
124. #15689024C22semidirect
129. #15689023C22semidirect
130. #15689023C22semidirect
131. #15689023C22semidirect
132. #15689022C22semidirect
133. #15689020C22semidirect
134. #15689020C22semidirect
135. #15689017C22semidirect
136. #15689017C22semidirect
137. #15689017C22semidirect
138. #15689016C22semidirect
139. #15689016C22semidirect
140. #15689015C22semidirect
141. #15689015C22semidirect
142. #15689015C22semidirect
143. #15689015C22semidirect
144. #15689015C22semidirect
145. #15689015C22semidirect
146. #15689012C22semidirect
147. #15689011C22semidirect
148. #15689011C22semidirect
149. #15689006C22semidirect
150. #15689004C22semidirect
154. #15689002C22semidirect
155. #15689002C22semidirect
156. #15689002C22semidirect
157. #15689001C22semidirect
158. #15689001C22semidirect
159. #15689001C22semidirect
161. #15688999C22semidirect
162. #15688999C22semidirect
163. #15688994C22semidirect
164. #15688994C22semidirect
165. #15688985C22semidirect
166. #15688985C22semidirect
167. #15688983C22semidirect
168. #15688983C22semidirect
169. #15688983C22semidirect
170. #15688982C22semidirect
171. #15688978C22semidirect
172. #15688974C22semidirect
173. #15688968C22semidirect
174. C24×C4×C47C22semidirect
182. C47×#385C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#381C22semidirect
187. C47×#381C22semidirect
188. C47×#379C22semidirect
253. C4×C22⋊D47D4semidirect
896. #2849D47semidirect
941. C24×C4C2×D47semidirect
1081. #385C2×D47semidirect
1082. #385C2×D47semidirect
1083. #385C2×D47semidirect
1084. #385C2×D47semidirect
1087. #381C2×D47semidirect
1088. #381C2×D47semidirect
1094. #379C2×D47semidirect
1097. C47#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#156897092
C2×#156896342
#202516702
#202500652
#202500202
#202499862
#202499752
#202498122
#202497542
#202497412
#202497402
#202497222
#202497172
#202497142
#202497072
#202496422
#202496142
#202496062
#202496022
#202492752
#202492272
#202490712
#202490142
#202489892
#202489742
#202483572
#202482762
#202467322
#202467052
#202460282
C47×#28492
#3672447