Finite Group Databasebeta

← #26388939

Subgroups — #26388939

Order 12032.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689711C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D47C211yesmaximal, characteristic, complemented
3#20251701C211yesmaximal, characteristic, complemented
4#20251685C211yesmaximal, characteristic, complemented
5#20251679C211yesmaximal, characteristic, complemented
6#20251669C211yesmaximal, characteristic, complemented
7#20249289C211yesmaximal, characteristic, complemented
8#20249276C211yesmaximal, characteristic, complemented
9#20249244C211yesmaximal, characteristic, complemented
10#20249231C211yesmaximal, characteristic, complemented
11#20247651C211yesmaximal, characteristic, complemented
12#20247516C211yesmaximal, characteristic, complemented
13#20247441C211yesmaximal, characteristic, complemented
14#20247327C211yesmaximal, characteristic, complemented
15#20247282C211yesmaximal, characteristic, complemented
16#20247282C211yesmaximal, characteristic, complemented
17#20247212C211yesmaximal, characteristic, complemented
18#20247138C211yesmaximal, characteristic, complemented
19#20247125C211yesmaximal, characteristic, complemented
20#20247049C211yesmaximal, characteristic, complemented
21#20246926C211yesmaximal, characteristic, complemented
22#20246924C211yesmaximal, characteristic, complemented
23#20246850C211yesmaximal, characteristic, complemented
24#20246762C211yesmaximal, characteristic, complemented
25#20246756C211yesmaximal, characteristic, complemented
26#20246698C211yesmaximal, characteristic, complemented
27#20246091C211yesmaximal, characteristic, complemented
28#20246046C211yesmaximal, characteristic, complemented
29#20246022C211yesmaximal, characteristic, complemented
30C4×#13093993C211yesmaximal, characteristic, complemented
31C2×C47×#386C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic, complemented
34#15689711—28no—
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094003C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13093998C2211yescharacteristic
45C2×#13093998C2211yescharacteristic
46C2×#13093997C2211yescharacteristic, complemented
47C2×#13093997C2211yescharacteristic, complemented
48C2×#13093997C2211yescharacteristic, complemented
49C2×#13093996C2211yescharacteristic
50C2×#13093996C2211yescharacteristic
51C2×#13093994C2211yescharacteristic, complemented
52C2×#13093993C2211yescharacteristic
53C2×#13093993C2211yescharacteristic
54C2×#13093993C2211yescharacteristic
55C2×#13093993C2211yescharacteristic, complemented
56C2×#13093992C2211yescharacteristic
57C2×#13093992C2211yescharacteristic
58C2×C4×C22⋊D47—28no—
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic, complemented
64C2×C4×C22⋊D47C2211yescharacteristic, complemented
65C2×C4×C22⋊D47C2211yescharacteristic, complemented
66C2×C4×C22⋊D47C2211yescharacteristic, complemented
67C2×C4×C22⋊D47C2211yescharacteristic, complemented
68C2×C4×C22⋊D47C2211yescharacteristic, complemented
69C2×C4×C22⋊D47C2211yescharacteristic, complemented
70C22×Dic47⋊C4C2211yescharacteristic, complemented
71C22×C22⋊Dic47C2211yescharacteristic
72C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
73C22×C4×Dic47C2211yescharacteristic, complemented
74#15689065C2211yescharacteristic, complemented
75#15689064C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689047C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic, complemented
87#15689039C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic, complemented
95#15689036C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689032C2211yescharacteristic, complemented
98#15689032C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic, complemented
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic, complemented
105#15689031C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic, complemented
108#15689023C2211yescharacteristic, complemented
109#15689023C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689017C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689011C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689010C2211yescharacteristic, complemented
123#15689008C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689005C2211yescharacteristic, complemented
126#15689005C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic, complemented
137#15689002C2211yescharacteristic, complemented
138#15689002C2211yescharacteristic, complemented
139#15689002C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689001C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688999C2211yescharacteristic, complemented
148#15688998C2211yescharacteristic, complemented
149#15688998C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688997C2211yescharacteristic, complemented
152#15688997C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688996C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688996C2211yescharacteristic, complemented
159#15688995C2211yescharacteristic, complemented
160#15688990C2211yescharacteristic, complemented
161#15688987C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688982C2211yescharacteristic, complemented
166#15688982C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688979C2211yescharacteristic
169#15688979C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172C4×C22⋊Dic47C2211yescharacteristic, complemented
173C4×C22⋊Dic47C2211yescharacteristic, complemented
174C23×D4×C47C2211yescharacteristic
175C24×C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C22×C22⋊C4×C47C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C2×#95×C47C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47—24no—
194C22×C22⋊D47—24no—
195C22×C22⋊D47—24no—
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
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47—24no—
213C22×C4×D47—42no—
214C22×C4×D47—42no—
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094017—24no—
221#13094017—24no—
222#13094010—24no—
223#13094010—24no—
224#13094006—24no—
225#13094006—24no—
226#13094006—42no—
227#13094003—24no—
228#13094001—42no—
229#13093998—24no—
230#13093998—24no—
231#13093997—24no—
232#13093997—24no—
233#13093997—42no—
234#13093996—42no—
235#13093996—42no—
236#13093994—42no—
237#13093993—24no—
238#13093993—24no—
239#13093993—24no—
240#13093993—24no—
241#13093992—42no—
242#13093992—42no—
243C4×C22⋊D47—24no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246C4×C22⋊D47—24no—
247C4×C22⋊D47—24no—
248C4×C22⋊D47—24no—
249C4×C22⋊D47—24no—
250C4×C22⋊D47—24no—
251C4×C22⋊D47—42no—
252C4×C22⋊D47—42no—
253C4×C22⋊D47D418yescomplemented
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4—24no—
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×C22⋊Dic47—24no—
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×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×(C2×D47)⋊C4—24no—
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×C4×Dic47—24no—
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C25×C47C2311yescharacteristic
354C25×C47C2311yescharacteristic
355C22×D4×C47—24no—
356C22×D4×C47—42no—
357C22×D4×C47—42no—
358C22×D4×C47C2311yescharacteristic
359C22×D4×C47C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C23×C4×C47—24no—
363C23×C4×C47—42no—
364C23×C4×C47—42no—
365C23×C4×C47C2311yescharacteristic
366C23×C4×C47C2311yescharacteristic
367C23×C4×C47C2311yescharacteristic
368C23×C4×C47C2311yescharacteristic
369C23×C4×C47C2311yescharacteristic
370C23×C4×C47C2311yescharacteristic
371C23×C4×C47C2311yescharacteristic
372C23×C4×C47C2311yescharacteristic
373C23×C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47—24no—
375C2×C22⋊C4×C47—42no—
376C2×C22⋊C4×C47—42no—
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—22no—
401C24×C47—22no—
402C24×C47—22no—
403C24×C47—22no—
404C24×C47—41no—
405C24×C47—41no—
406C24×C47—41no—
407C24×C47—41no—
408C24×C47—41no—
409C24×C47—41no—
410C24×C47#4114yes—
411C24×C47C2411yescharacteristic
412C24×C47C2411yescharacteristic
413C24×C47C2411yescharacteristic
414C24×C47C2411yescharacteristic
415C24×C47C2411yescharacteristic
416C23×D47—22no—
417C23×D47—22no—
418C23×D47—22no—
419C23×D47—22no—
420C23×D47—22no—
421C23×D47—41no—
422C23×D47—41no—
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—41no—
435C2×D4×C47—41no—
436C2×D4×C47—41no—
437C2×D4×C47—41no—
438C2×D4×C47—416no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—22no—
448C22×C4×C47—22no—
449C22×C4×C47—22no—
450C22×C4×C47—22no—
451C22×C4×C47—22no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47—41no—
457C22×C4×C47—41no—
458C22×C4×C47—41no—
459C22×C4×C47—41no—
460C22×C4×C47—41no—
461C22×C4×C47—41no—
462C22×C4×C47—41no—
463C22×C4×C47—41no—
464C22×C4×C47—41no—
465C22×C4×C47—416no—
466C22×C4×C47C2×D414yes—
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C22×C4×C47C2411yescharacteristic
476C22×C4×C47C2411yescharacteristic
477C2×C22⋊D47—232no—
478C2×C22⋊D47—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—22no—
481C2×C22⋊D47—22no—
482C2×C22⋊D47—22no—
483C2×C22⋊D47—22no—
484C2×C22⋊D47—22no—
485C2×C22⋊D47—22no—
486C2×C22⋊D47—22no—
487C2×C22⋊D47—22no—
488C2×C22⋊D47—22no—
489C2×C22⋊D47—22no—
490C2×C22⋊D47—22no—
491C2×C22⋊D47—22no—
492C2×C22⋊D47—22no—
493C2×C22⋊D47—22no—
494C2×C22⋊D47—22no—
495C2×C22⋊D47—22no—
496C2×C22⋊D47—22no—
497C2×C22⋊D47—22no—
498C2×C22⋊D47—22no—
499C2×C22⋊D47—22no—
500C2×C22⋊D47—22no—
501C2×C22⋊D47—41no—
502C2×C22⋊D47—41no—
503C2×C22⋊D47—41no—
504C2×C22⋊D47—41no—
505C2×C22⋊D47—41no—
506C2×C22⋊D47—41no—
507C2×C22⋊D47—41no—
508C2×C22⋊D47—41no—
509C2×C22⋊D47—41no—
510C2×C22⋊D47—41no—
511C2×C22⋊D47—41no—
512C2×C22⋊D47—41no—
513C2×C22⋊D47—41no—
514C2×C22⋊D47—41no—
515C2×C22⋊D47C2×D414yes—
516C2×C22⋊D47#4114yes—
517C22×Dic47—22no—
518C22×Dic47—22no—
519C22×Dic47—22no—
520C22×Dic47—22no—
521C22×Dic47—22no—
522C22×Dic47—22no—
523C22×Dic47—22no—
524C22×Dic47—41no—
525C22×Dic47—41no—
526C22×Dic47C2411yescharacteristic
527C22×Dic47C2411yescharacteristic
528C22×Dic47C2411yescharacteristic
529C22×Dic47C2411yescharacteristic
530C22×Dic47C2411yescharacteristic
531C22×Dic47C2411yescharacteristic
532C22×Dic47C2411yescharacteristic
533C22×Dic47C2411yescharacteristic
534C22×Dic47C2411yescharacteristic
535C22×Dic47C2411yescharacteristic
536C22×Dic47C2411yescharacteristic
537C22×Dic47C2411yescharacteristic
538C22×Dic47C2411yescharacteristic
539C2×D188—22no—
540C2×D188—22no—
541C2×D188—41no—
542C2×D188—41no—
543C2×D188—41no—
544C2×D188—41no—
545C2×C4×D47—22no—
546C2×C4×D47—22no—
547C2×C4×D47—22no—
548C2×C4×D47—22no—
549C2×C4×D47—22no—
550C2×C4×D47—22no—
551C2×C4×D47—41no—
552C2×C4×D47—41no—
553C2×C4×D47—41no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—41no—
557C2×C4×D47—416no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47C2×D414yescomplemented
561C2×Dic94—22no—
562C2×Dic94—41no—
563C2×Dic94—41no—
564C22⋊C4×C47—22no—
565C22⋊C4×C47—22no—
566C22⋊C4×C47—22no—
567C22⋊C4×C47—22no—
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—41no—
573C22⋊C4×C47—41no—
574C22⋊C4×C47—41no—
575C22⋊C4×C47—41no—
576C22⋊Dic47—22no—
577C22⋊Dic47—22no—
578C22⋊Dic47—22no—
579C22⋊Dic47—22no—
580C22⋊Dic47—22no—
581C22⋊Dic47—22no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584C22⋊Dic47—22no—
585C22⋊Dic47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—22no—
590C22⋊Dic47—22no—
591C22⋊Dic47—22no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47—41no—
595C22⋊Dic47—41no—
596C22⋊Dic47—41no—
597C22⋊Dic47—41no—
598C22⋊Dic47C2×D414yes—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—41no—
609(C2×D47)⋊C4—41no—
610(C2×D47)⋊C4—41no—
611(C2×D47)⋊C4—41no—
612(C2×D47)⋊C4—41no—
613(C2×D47)⋊C4—41no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4C2×D414yescomplemented
620C4⋊Dic47—22no—
621C4⋊Dic47—22no—
622C4⋊Dic47—22no—
623C4⋊Dic47—41no—
624C4⋊Dic47—41no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—22no—
628Dic47⋊C4—22no—
629Dic47⋊C4—22no—
630Dic47⋊C4—22no—
631Dic47⋊C4—22no—
632Dic47⋊C4—41no—
633Dic47⋊C4—41no—
634Dic47⋊C4—41no—
635Dic47⋊C4—41no—
636Dic47⋊C4—41no—
637Dic47⋊C4—41no—
638Dic47⋊C4—41no—
639Dic47⋊C4C2×D414yescomplemented
640C4×Dic47—22no—
641C4×Dic47—22no—
642C4×Dic47—22no—
643C4×Dic47—22no—
644C4×Dic47—41no—
645C4×Dic47—41no—
646C4×Dic47C2×D414yescomplemented
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—28no—
656C23×C47—28no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—21no—
672C23×C47—21no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—21no—
677C23×C47—44no—
678C23×C47—44no—
679C23×C47—44no—
680C23×C47—44no—
681C23×C47—44no—
682C23×C47—44no—
683C23×C47—44no—
684C23×C47—44no—
685C23×C47—82no—
686C23×C47—82no—
687C23×C47—82no—
688C23×C47—82no—
689C23×C47C22×D412yes—
690C23×C47C2×#4112yes—
691C23×C47C2×#4112yes—
692C23×C47C2×#4112yes—
693C23×C47C2×#4112yes—
694C23×C47H(5,𝔽2)12yes—
695C23×C47H(5,𝔽2)12yes—
696C23×C47C2511yescharacteristic
697C22×D47—28no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—21no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—44no—
718C22×D47—44no—
719C22×D47—44no—
720C22×D47—44no—
721C22×D47—44no—
722C22×D47—44no—
723C22×D47C22×D412yes—
724C22×D47C2×#4112yes—
725D4×C47—44no—
726D4×C47—44no—
727D4×C47—44no—
728D4×C47—44no—
729C2×C4×C47—28no—
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—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—44no—
758C2×C4×C47—44no—
759C2×C4×C47—44no—
760C2×C4×C47—44no—
761C2×C4×C47—44no—
762C2×C4×C47—44no—
763C2×C4×C47—82no—
764C2×C4×C47—82no—
765C2×C4×C47C22×D412yes—
766C2×C4×C47C22×D412yes—
767C2×C4×C47H(5,𝔽2)12yes—
768C22⋊D47—28no—
769C22⋊D47—28no—
770C22⋊D47—28no—
771C22⋊D47—28no—
772C22⋊D47—44no—
773C22⋊D47—44no—
774C22⋊D47—44no—
775C22⋊D47—82no—
776C22⋊D47—82no—
777C22⋊D47—82no—
778C22⋊D47—82no—
779C22⋊D47—82no—
780C22⋊D47—82no—
781C2×Dic47—28no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—21no—
804C2×Dic47—21no—
805C2×Dic47—21no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—44no—
818C2×Dic47—44no—
819C2×Dic47C22×D412yes—
820C2×Dic47C22×D412yes—
821C2×Dic47C22×D412yes—
822C2×Dic47C2×#4112yes—
823D188—82no—
824D188—82no—
825C4×D47—44no—
826C4×D47—44no—
827C4×D47—44no—
828C4×D47—44no—
829C4×D47—82no—
830Dic94—82no—
831#34990—471nomaximal, Sylow
832C22×C47—22no—
833C22×C47—22no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—22no—
837C22×C47—22no—
838C22×C47—22no—
839C22×C47—22no—
840C22×C47—22no—
841C22×C47—22no—
842C22×C47—22no—
843C22×C47—22no—
844C22×C47—22no—
845C22×C47—22no—
846C22×C47—22no—
847C22×C47—416no—
848C22×C47—41no—
849C22×C47—41no—
850C22×C47—41no—
851C22×C47—41no—
852C22×C47—41no—
853C22×C47—41no—
854C22×C47—41no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—41no—
863C22×C47—41no—
864C22×C47—41no—
865C22×C47—41no—
866C22×C47—88no—
867C22×C47#52514yes—
868C22×C47#53814yescomplemented
869C22×C47C23×D411yescharacteristic
870C22×C47C22×#4111yescharacteristic
871C22×C47C22×#4111yescharacteristic
872C22×C47C2×H(5,𝔽2)11yescharacteristic
873C22×C47C2×H(5,𝔽2)11yescharacteristic
874C22×C47C2×H(5,𝔽2)11yescharacteristic
875C22×C47#58511yescharacteristic
876C2×D47—22no—
877C2×D47—22no—
878C2×D47—22no—
879C2×D47—22no—
880C2×D47—22no—
881C2×D47—22no—
882C2×D47—416no—
883C2×D47—41no—
884C2×D47—41no—
885C2×D47—41no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—41no—
897C2×D47—41no—
898C4×C47—22no—
899C4×C47—22no—
900C4×C47—22no—
901C4×C47—41no—
902C4×C47—41no—
903C4×C47—41no—
904C4×C47—41no—
905C4×C47—41no—
906C4×C47—41no—
907C4×C47—41no—
908Dic47—22no—
909Dic47—22no—
910Dic47—22no—
911Dic47—22no—
912Dic47—41no—
913Dic47—41no—
914Dic47—41no—
915Dic47—41no—
916Dic47—41no—
917Dic47—41no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921C2×#538—471no—
922C22×C4×D4—471no—
923#2852—471no—
924#2850—471no—
925#2849—471no—
926#2847—471no—
927#2636—471no—
928#2635—471no—
929#2631—471no—
930#2630—471no—
931#2481—471no—
932#2472—471no—
933#2467—471no—
934#2459—471no—
935#2456—471no—
936#2456—471no—
937#2450—471no—
938#2444—471no—
939#2443—471no—
940#2437—471no—
941#2424—471no—
942#2424—471no—
943#2418—471no—
944#2410—471no—
945#2410—471no—
946#2403—471no—
947#2325—471no—
948#2321—471no—
949#2318—471no—
950C4×#120—471no—
951C2×#386D4711yescharacteristic, complemented
952C2×C47—24no—
953C2×C47—24no—
954C2×C47—42no—
955C2×C47—81no—
956C2×C47—81no—
957C2×C47C2×#52511yescharacteristic
958C2×C47C2×#53811yescharacteristic
959C2×C47#345911yescharacteristic
960C2×C47#348411yescharacteristic
961C2×C47#348811yescharacteristic
962C2×C47#351311yescharacteristic
963C2×C47#351911yescharacteristic
964D47—42no—
965D47—42no—
966D47—81no—
967C23×D4—471no—
968C23×D4C2×D4711yescharacteristic
969C24×C4—471no—
970C24×C4C2×D4711yescharacteristic
971#538—948no—
972C2×#126—471no—
973C2×#126—471no—
974C2×#124—471no—
975C2×#124—471no—
976C2×#123—471no—
977C2×#123—471no—
978C2×#123—471no—
979C2×C22⋊Q8—471no—
980C2×C22⋊Q8—471no—
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#121—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×#120—471no—
994C2×#120—471no—
995C2×C4×D4—471no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C2×C4×D4—471no—
1000C2×C4×D4—471no—
1001C2×C4×D4—471no—
1002C2×C4×D4—471no—
1003C2×C4×D4—471no—
1004C2×C4×D4—471no—
1005C2×C4×D4—471no—
1006C2×C4×D4—948no—
1007C22×C4⋊C4—471no—
1008C22×C22⋊C4—471no—
1009C22×C22⋊C4—471no—
1010C22×C22⋊C4C2×D4711yescharacteristic
1011C22×C22⋊C4C2×D4711yescharacteristic, complemented
1012C22×C22⋊C4C2×D4711yescharacteristic, complemented
1013C22×C42—471no—
1014#400—471no—
1015#400—471no—
1016#399—471no—
1017#399—471no—
1018#398—471no—
1019#397—471no—
1020#397—471no—
1021#397—471no—
1022#396—471no—
1023#396—471no—
1024#396—471no—
1025#396—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394—471no—
1034#394—471no—
1035#393—471no—
1036#393—471no—
1037#392—471no—
1038#392—471no—
1039#392—471no—
1040#392—471no—
1041#392—471no—
1042#392—471no—
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#391—471no—
1047#390—471no—
1048#390—471no—
1049#390—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#388—471no—
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387—471no—
1067#387—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#386—471no—
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386C2×D4711yescharacteristic
1089#386C2×D4711yescharacteristic
1090#386C2×D4711yescharacteristic
1091#386C2×D4711yescharacteristic
1092#386C2×D4711yescharacteristic, complemented
1093#386C2×D4711yescharacteristic, complemented
1094#386C2×D4711yescharacteristic, complemented
1095#386C2×D4711yescharacteristic, complemented
1096#385—471no—
1097#385—471no—
1098#385—471no—
1099#385—471no—
1100#385—471no—
1101#385—471no—
1102#385—471no—
1103#385—471no—
1104#385—471no—
1105#385—471no—
1106#385—471no—
1107#385—471no—
1108#383—471no—
1109#382—471no—
1110#381—471no—
1111#381—471no—
1112#380—471no—
1113#380—471no—
1114#380—471no—
1115#380—471no—
1116#379—471no—
1117#379—471no—
1118#379—471no—
1119C4×C22⋊C4—471no—
1120C4×C22⋊C4—471no—
1121C4×C22⋊C4—471no—
1122C2×#95C2×D4711yescharacteristic, complemented
1123C2×#95C2×D4711yescharacteristic, complemented
1124C47#3499011yescharacteristic, complemented, Sylow
1125C25—471no—
1126C25C22×D4711yescharacteristic
1127C25C22×D4711yescharacteristic
1128C22×Q8—471no—
1129C22×D4—24no—
1130C22×D4—42no—
1131C22×D4—42no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—471no—
1137C22×D4—471no—
1138C22×D4—471no—
1139C22×D4—471no—
1140C22×D4—471no—
1141C22×D4—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—471no—
1146C22×D4—471no—
1147C22×D4—944no—
1148C22×D4—944no—
1149C22×D4—944no—
1150C22×D4C22×D4711yescharacteristic
1151C22×D4C22×D4711yescharacteristic
1152C22×D4C22×D4711yescharacteristic
1153C22×D4C22×D4711yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—471no—
1158C23×C4—471no—
1159C23×C4—471no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4—471no—
1165C23×C4—944no—
1166C23×C4—1882no—
1167C23×C4—1882no—
1168C23×C4C22×D4711yescharacteristic
1169C23×C4C22×D4711yescharacteristic
1170C23×C4C22×D4711yescharacteristic
1171C23×C4C22×D4711yescharacteristic
1172C23×C4C22×D4711yescharacteristic
1173C23×C4C22×D4711yescharacteristic
1174C23×C4C22×D4711yescharacteristic
1175C23×C4C22×D4711yescharacteristic
1176C23×C4C22×D4711yescharacteristic
1177#126—944no—
1178#126—944no—
1179#124—944no—
1180#124—944no—
1181#123—944no—
1182#123—944no—
1183#123—1882no—
1184C22⋊Q8—944no—
1185C22⋊Q8—1882no—
1186#121—944no—
1187#121—944no—
1188#121—944no—
1189#121—944no—
1190#121—1882no—
1191#121—1882no—
1192#121—1882no—
1193#120—944no—
1194#120—944no—
1195#120—944no—
1196#120—944no—
1197#120—1882no—
1198#120—1882no—
1199#120—1882no—
1200C4×D4—478no—
1201C4×D4—944no—
1202C4×D4—944no—
1203C4×D4—944no—
1204C4×D4—944no—
1205C4×D4—944no—
1206C4×D4—944no—
1207C4×D4—944no—
1208C4×D4—944no—
1209C4×D4—1882no—
1210C4×D4—1882no—
1211C2×C4⋊C4—471no—
1212C2×C4⋊C4—471no—
1213C2×C4⋊C4—471no—
1214C2×C4⋊C4—471no—
1215C2×C4⋊C4—471no—
1216C2×C4⋊C4—471no—
1217C2×C4⋊C4—471no—
1218C2×C4⋊C4—471no—
1219C2×C4⋊C4—471no—
1220C2×C4⋊C4—471no—
1221C2×C4⋊C4—471no—
1222C2×C4⋊C4—471no—
1223C2×C4⋊C4—471no—
1224C2×C4⋊C4—471no—
1225C2×C4⋊C4—471no—
1226C2×C4⋊C4—471no—
1227C2×C4⋊C4—471no—
1228C2×C4⋊C4—471no—
1229C2×C4⋊C4—471no—
1230C2×C4⋊C4—471no—
1231C2×C4⋊C4—944no—
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—42no—
1234C2×C22⋊C4—42no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—944no—
1280C2×C22⋊C4—944no—
1281C2×C22⋊C4C22×D4711yescharacteristic
1282C2×C22⋊C4C22×D4711yescharacteristic
1283C2×C22⋊C4C22×D4711yescharacteristic
1284C2×C22⋊C4C22×D4711yescharacteristic
1285C2×C22⋊C4C22×D4711yescharacteristic
1286C2×C22⋊C4C22×D4711yescharacteristic
1287C2×C22⋊C4C22×D4711yescharacteristic
1288C2×C22⋊C4C22×D4711yescharacteristic
1289C2×C22⋊C4C22×D4711yescharacteristic
1290C2×C22⋊C4C22×D4711yescharacteristic
1291C2×C22⋊C4C22×D4711yescharacteristic
1292C2×C22⋊C4C22×D4711yescharacteristic
1293C2×C42—471no—
1294C2×C42—471no—
1295C2×C42—471no—
1296C2×C42—471no—
1297C2×C42—471no—
1298C2×C42—471no—
1299C2×C42—471no—
1300C2×C42—944no—
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95—471no—
1314#95—471no—
1315#95—471no—
1316#95—471no—
1317#95—471no—
1318#95—471no—
1319#95—471no—
1320#95—471no—
1321#95—471no—
1322#95—471no—
1323#95—471no—
1324#95—471no—
1325#95C22×D4711yescharacteristic
1326#95C22×D4711yescharacteristic
1327#95C22×D4711yescharacteristic
1328#95C22×D4711yescharacteristic
1329#95C22×D4711yescharacteristic
1330#95C22×D4711yescharacteristic
1331#95C22×D4711yescharacteristic
1332#95C22×D4711yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—471no—
1347C24—471no—
1348C24—471no—
1349C24—942no—
1350C24—942no—
1351C24—942no—
1352C24—942no—
1353C24—942no—
1354C24—1881no—
1355C24—1881no—
1356C24#1062535014yes—
1357C24C23×D4711yescharacteristic
1358C24C23×D4711yescharacteristic
1359C24C23×D4711yescharacteristic
1360C24C23×D4711yescharacteristic
1361C24C23×D4711yescharacteristic
1362C2×Q8—942no—
1363C2×Q8—1881no—
1364C2×Q8—1881no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—416no—
1378C2×D4—474no—
1379C2×D4—474no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—942no—
1387C2×D4—942no—
1388C2×D4—9432no—
1389C2×D4—942no—
1390C2×D4—942no—
1391C2×D4—942no—
1392C2×D4—942no—
1393C2×D4—942no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—942no—
1399C2×D4—942no—
1400C2×D4—942no—
1401C2×D4—942no—
1402C2×D4—942no—
1403C2×D4—942no—
1404C2×D4—942no—
1405C2×D4—942no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C2×D4—1881no—
1415C2×D4—1881no—
1416C2×D4—1881no—
1417C2×D4—1881no—
1418C2×D4—1881no—
1419C2×D4—1881no—
1420C2×D4—1881no—
1421C2×D4—1881no—
1422C2×D4—1881no—
1423C2×D4—1881no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—416no—
1451C22×C4—471no—
1452C22×C4—471no—
1453C22×C4—471no—
1454C22×C4—471no—
1455C22×C4—474no—
1456C22×C4—471no—
1457C22×C4—471no—
1458C22×C4—471no—
1459C22×C4—471no—
1460C22×C4—471no—
1461C22×C4—471no—
1462C22×C4—471no—
1463C22×C4—471no—
1464C22×C4—471no—
1465C22×C4—942no—
1466C22×C4—942no—
1467C22×C4—942no—
1468C22×C4—942no—
1469C22×C4—942no—
1470C22×C4—942no—
1471C22×C4—942no—
1472C22×C4—942no—
1473C22×C4—942no—
1474C22×C4—942no—
1475C22×C4—942no—
1476C22×C4—942no—
1477C22×C4—942no—
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—18816no—
1487C22×C4—1881no—
1488C22×C4—1881no—
1489C22×C4D4×D4714yes—
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C22×C4C23×D4711yescharacteristic
1495C22×C4C23×D4711yescharacteristic
1496C22×C4C23×D4711yescharacteristic
1497C22×C4C23×D4711yescharacteristic
1498C22×C4C23×D4711yescharacteristic
1499C22×C4C23×D4711yescharacteristic
1500C4⋊C4—474no—
1501C4⋊C4—942no—
1502C4⋊C4—942no—
1503C4⋊C4—942no—
1504C4⋊C4—942no—
1505C4⋊C4—942no—
1506C4⋊C4—942no—
1507C4⋊C4—942no—
1508C4⋊C4—942no—
1509C4⋊C4—942no—
1510C4⋊C4—942no—
1511C4⋊C4—1881no—
1512C4⋊C4—1881no—
1513C4⋊C4—1881no—
1514C4⋊C4—1881no—
1515C4⋊C4—1881no—
1516C4⋊C4—1881no—
1517C4⋊C4—1881no—
1518C4⋊C4—1881no—
1519C4⋊C4—1881no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—474no—
1533C22⋊C4—474no—
1534C22⋊C4—942no—
1535C22⋊C4—942no—
1536C22⋊C4—942no—
1537C22⋊C4—942no—
1538C22⋊C4—942no—
1539C22⋊C4—942no—
1540C22⋊C4—942no—
1541C22⋊C4—942no—
1542C22⋊C4—942no—
1543C22⋊C4—942no—
1544C22⋊C4—942no—
1545C22⋊C4—942no—
1546C22⋊C4—942no—
1547C22⋊C4—942no—
1548C22⋊C4—942no—
1549C22⋊C4—942no—
1550C22⋊C4—942no—
1551C22⋊C4—942no—
1552C22⋊C4—942no—
1553C22⋊C4—942no—
1554C22⋊C4—942no—
1555C22⋊C4—942no—
1556C22⋊C4—942no—
1557C22⋊C4—942no—
1558C22⋊C4—942no—
1559C22⋊C4—1881no—
1560C22⋊C4—1881no—
1561C22⋊C4—1881no—
1562C22⋊C4—1881no—
1563C22⋊C4—1881no—
1564C22⋊C4—1881no—
1565C22⋊C4—1881no—
1566C22⋊C4—1881no—
1567C22⋊C4—1881no—
1568C22⋊C4—1881no—
1569C22⋊C4—1881no—
1570C22⋊C4—1881no—
1571C22⋊C4—1881no—
1572C22⋊C4—1881no—
1573C22⋊C4—1881no—
1574C22⋊C4—1881no—
1575C22⋊C4—1881no—
1576C42—474no—
1577C42—942no—
1578C42—942no—
1579C42—942no—
1580C42—942no—
1581C42—1881no—
1582C42—1881no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—28no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—82no—
1622C23—82no—
1623C23—82no—
1624C23—82no—
1625C23—472no—
1626C23—472no—
1627C23—948no—
1628C23—941no—
1629C23—941no—
1630C23—941no—
1631C23—941no—
1632C23—941no—
1633C23—941no—
1634C23—941no—
1635C23—941no—
1636C23—941no—
1637C23—941no—
1638C23—941no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—941no—
1643C23—941no—
1644C23—941no—
1645C23—941no—
1646C23—941no—
1647C23—1884no—
1648C23—1884no—
1649C23—1884no—
1650C23—1884no—
1651C23—1884no—
1652C23—1884no—
1653C23C2×D4×D4712yes—
1654C23#41×D4712yes—
1655C23C2×#1062535012yes—
1656C23C2×#1062535012yes—
1657C23C2×#1062535012yes—
1658C23#1309406912yes—
1659C23#1309406912yes—
1660C23C24×D4711yescharacteristic
1661Q8—3762no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—948no—
1667D4—948no—
1668D4—948no—
1669D4—948no—
1670D4—3762no—
1671D4—3762no—
1672D4—3762no—
1673D4—3762no—
1674D4—3762no—
1675D4—3762no—
1676D4—3762no—
1677D4—3762no—
1678D4—1884no—
1679D4—1884no—
1680D4—1884no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—472no—
1718C2×C4—472no—
1719C2×C4—472no—
1720C2×C4—472no—
1721C2×C4—948no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—941no—
1730C2×C4—941no—
1731C2×C4—941no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—941no—
1748C2×C4—941no—
1749C2×C4—941no—
1750C2×C4—941no—
1751C2×C4—941no—
1752C2×C4—941no—
1753C2×C4—941no—
1754C2×C4—941no—
1755C2×C4—941no—
1756C2×C4—941no—
1757C2×C4—3762no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4—1884no—
1763C2×C4—1884no—
1764C2×C4C2×D4×D4712yes—
1765C2×C4C2×D4×D4712yes—
1766C2×C4#1309406912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—942no—
1803C22—942no—
1804C22—942no—
1805C22—942no—
1806C22—942no—
1807C22—942no—
1808C22—18816no—
1809C22—1881no—
1810C22—1881no—
1811C22—1881no—
1812C22—1881no—
1813C22—1881no—
1814C22—1881no—
1815C22—1881no—
1816C22—1881no—
1817C22—1881no—
1818C22—1881no—
1819C22—1881no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22#1568963214yes—
1825C22#1568971114yescomplemented
1826C22C22×D4×D4711yescharacteristic
1827C22C2×#41×D4711yescharacteristic
1828C22C22×#1062535011yescharacteristic
1829C22C2×#1309406911yescharacteristic
1830C22C2×#1309406911yescharacteristic
1831C22C2×#1309406911yescharacteristic
1832C22#1568995911yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—942no—
1844C4—942no—
1845C4—942no—
1846C4—942no—
1847C4—1881no—
1848C4—1881no—
1849C4—1881no—
1850C4—1881no—
1851C4—1881no—
1852C4—1881no—
1853C4—1881no—
1854C4—1881no—
1855C4—1881no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—3761no—
1862C2—1882no—
1863C2—1882no—
1864C2C2×#1568963211yescharacteristic
1865C2C2×#1568971111yescharacteristic
1866C2#2025679711yescharacteristic
1867C2#2025701711yescharacteristic
1868C2#2025705311yescharacteristic
1869C2#2025732011yescharacteristic
1870C2#2025741411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#386C2
hypercenterC2×#386D47
hypocenterC47#34990
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×#15689711C2semidirect
2. C22×C4×C22⋊D47C2semidirect
3. #20251701C2semidirect
4. #20251685C2semidirect
5. #20251679C2semidirect
6. #20251669C2semidirect
7. #20249289C2semidirect
8. #20249276C2semidirect
9. #20249244C2semidirect
10. #20249231C2semidirect
11. #20247651C2semidirect
12. #20247516C2semidirect
13. #20247441C2semidirect
14. #20247327C2semidirect
15. #20247282C2semidirect
16. #20247282C2semidirect
17. #20247212C2semidirect
18. #20247138C2semidirect
19. #20247125C2semidirect
20. #20247049C2semidirect
21. #20246926C2semidirect
22. #20246924C2semidirect
23. #20246850C2semidirect
24. #20246762C2semidirect
25. #20246756C2semidirect
26. #20246698C2semidirect
27. #20246091C2semidirect
28. #20246046C2semidirect
29. #20246022C2semidirect
30. C4×#13093993C2semidirect
31. C2×C47×#386C2semidirect
33. C23×C4×D47C22semidirect
35. C2×#13094017C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094010C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094006C22semidirect
40. C2×#13094006C22semidirect
41. C2×#13094006C22semidirect
42. C2×#13094003C22semidirect
43. C2×#13094001C22semidirect
46. C2×#13093997C22semidirect
47. C2×#13093997C22semidirect
48. C2×#13093997C22semidirect
51. C2×#13093994C22semidirect
55. C2×#13093993C22semidirect
63. C2×C4×C22⋊D47C22semidirect
64. C2×C4×C22⋊D47C22semidirect
65. C2×C4×C22⋊D47C22semidirect
66. C2×C4×C22⋊D47C22semidirect
67. C2×C4×C22⋊D47C22semidirect
68. C2×C4×C22⋊D47C22semidirect
69. C2×C4×C22⋊D47C22semidirect
70. C22×Dic47⋊C4C22semidirect
72. C22×(C2×D47)⋊C4C22semidirect
73. C22×C4×Dic47C22semidirect
74. #15689065C22semidirect
75. #15689064C22semidirect
76. #15689059C22semidirect
77. #15689059C22semidirect
78. #15689057C22semidirect
79. #15689052C22semidirect
80. #15689052C22semidirect
81. #15689051C22semidirect
82. #15689047C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689046C22semidirect
86. #15689041C22semidirect
87. #15689039C22semidirect
88. #15689039C22semidirect
89. #15689039C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
93. #15689037C22semidirect
94. #15689037C22semidirect
95. #15689036C22semidirect
96. #15689035C22semidirect
97. #15689032C22semidirect
98. #15689032C22semidirect
99. #15689032C22semidirect
104. #15689031C22semidirect
105. #15689031C22semidirect
106. #15689027C22semidirect
107. #15689023C22semidirect
108. #15689023C22semidirect
109. #15689023C22semidirect
110. #15689017C22semidirect
111. #15689017C22semidirect
112. #15689017C22semidirect
113. #15689016C22semidirect
114. #15689016C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689012C22semidirect
120. #15689011C22semidirect
121. #15689011C22semidirect
122. #15689010C22semidirect
123. #15689008C22semidirect
124. #15689008C22semidirect
125. #15689005C22semidirect
126. #15689005C22semidirect
127. #15689005C22semidirect
136. #15689002C22semidirect
137. #15689002C22semidirect
138. #15689002C22semidirect
139. #15689002C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
142. #15689001C22semidirect
143. #15689000C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688999C22semidirect
148. #15688998C22semidirect
149. #15688998C22semidirect
150. #15688997C22semidirect
151. #15688997C22semidirect
152. #15688997C22semidirect
153. #15688996C22semidirect
154. #15688996C22semidirect
155. #15688996C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688996C22semidirect
159. #15688995C22semidirect
160. #15688990C22semidirect
161. #15688987C22semidirect
162. #15688985C22semidirect
163. #15688985C22semidirect
164. #15688983C22semidirect
165. #15688982C22semidirect
166. #15688982C22semidirect
167. #15688981C22semidirect
169. #15688979C22semidirect
170. #15688978C22semidirect
171. C4×C22⋊Dic47C22semidirect
172. C4×C22⋊Dic47C22semidirect
173. C4×C22⋊Dic47C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C22×C22⋊C4×C47C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#386C22semidirect
187. C2×#95×C47C22semidirect
188. C2×#95×C47C22semidirect
253. C4×C22⋊D47D4semidirect
560. C2×C4×D47C2×D4semidirect
619. (C2×D47)⋊C4C2×D4semidirect
639. Dic47⋊C4C2×D4semidirect
646. C4×Dic47C2×D4semidirect
868. C22×C47#538semidirect
951. C2×#386D47semidirect
1011. C22×C22⋊C4C2×D47semidirect
1012. C22×C22⋊C4C2×D47semidirect
1092. #386C2×D47semidirect
1093. #386C2×D47semidirect
1094. #386C2×D47semidirect
1095. #386C2×D47semidirect
1122. C2×#95C2×D47semidirect
1123. C2×#95C2×D47semidirect
1124. C47#34990semidirect
1825. C22#15689711semidirect

Maximal subgroups

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

subgroupindex
C2×#156897112
C22×C4×C22⋊D472
#202517012
#202516852
#202516792
#202516692
#202492892
#202492762
#202492442
#202492312
#202476512
#202475162
#202474412
#202473272
#202472822
#202472122
#202471382
#202471252
#202470492
#202469262
#202469242
#202468502
#202467622
#202467562
#202466982
#202460912
#202460462
#202460222
C4×#130939932
C2×C47×#3862
#3499047