Finite Group Databasebeta

← #26423365

Subgroups — #26423365

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×#15689705C211yesmaximal, characteristic, complemented
2C2×#15689634C211yesmaximal, characteristic, complemented
3#20251680C211yesmaximal, characteristic, complemented
4#20250061C211yesmaximal, characteristic, complemented
5#20250016C211yesmaximal, characteristic, complemented
6#20249990C211yesmaximal, characteristic, complemented
7#20249977C211yesmaximal, characteristic, complemented
8#20249810C211yesmaximal, characteristic, complemented
9#20249749C211yesmaximal, characteristic, complemented
10#20249744C211yesmaximal, characteristic, complemented
11#20249734C211yesmaximal, characteristic, complemented
12#20249722C211yesmaximal, characteristic, complemented
13#20249716C211yesmaximal, characteristic, complemented
14#20249714C211yesmaximal, characteristic, complemented
15#20249709C211yesmaximal, characteristic, complemented
16#20249640C211yesmaximal, characteristic, complemented
17#20249610C211yesmaximal, characteristic, complemented
18#20249605C211yesmaximal, characteristic, complemented
19#20249600C211yesmaximal, characteristic, complemented
20#20249273C211yesmaximal, characteristic, complemented
21#20249229C211yesmaximal, characteristic, complemented
22#20249071C211yesmaximal, characteristic, complemented
23#20249012C211yesmaximal, characteristic, complemented
24#20248981C211yesmaximal, characteristic, complemented
25#20248972C211yesmaximal, characteristic, complemented
26#20248357C211yesmaximal, characteristic, complemented
27#20248276C211yesmaximal, characteristic, complemented
28#20246730C211yesmaximal, characteristic, complemented
29#20246705C211yesmaximal, characteristic, complemented
30#20246030C211yesmaximal, characteristic, complemented
31C47×#2847C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33#15689705—28no—
34C2×#13094020C2211yescharacteristic
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094011C2211yescharacteristic
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40#15689634—28no—
41C2×#13094007C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094007C2211yescharacteristic
44C2×#13094007C2211yescharacteristic, complemented
45C2×#13094006C2211yescharacteristic
46C2×#13094005C2211yescharacteristic, complemented
47C2×#13094003C2211yescharacteristic, complemented
48C2×#13094003C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13093998C2211yescharacteristic
52C2×#13093998C2211yescharacteristic
53C2×#13093996C2211yescharacteristic
54C2×#13093996C2211yescharacteristic, complemented
55C2×#13093995C2211yescharacteristic
56C2×#13093994C2211yescharacteristic, complemented
57C2×#13093993C2211yescharacteristic
58C2×#13093993C2211yescharacteristic
59C2×#13093993C2211yescharacteristic, complemented
60C2×#13093992C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×#13093992C2211yescharacteristic, complemented
64C2×C4×C22⋊D47C2211yescharacteristic
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×C4×C22⋊D47C2211yescharacteristic, complemented
67C2×C4×C22⋊D47C2211yescharacteristic, complemented
68C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
69C2×#13093983C2211yescharacteristic, complemented
70C2×C22⋊C4×D47C2211yescharacteristic, complemented
71#15689061C2211yescharacteristic, complemented
72#15689058C2211yescharacteristic, complemented
73#15689057C2211yescharacteristic, complemented
74#15689055C2211yescharacteristic, complemented
75#15689053C2211yescharacteristic, complemented
76#15689052C2211yescharacteristic, complemented
77#15689051C2211yescharacteristic, complemented
78#15689048C2211yescharacteristic, complemented
79#15689047C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689044C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic, complemented
88#15689040C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic, complemented
93#15689039C2211yescharacteristic, complemented
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic, complemented
99#15689037C2211yescharacteristic
100#15689037C2211yescharacteristic
101#15689037C2211yescharacteristic
102#15689037C2211yescharacteristic, complemented
103#15689037C2211yescharacteristic, complemented
104#15689037C2211yescharacteristic, complemented
105#15689036C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689035C2211yescharacteristic, complemented
108#15689032C2211yescharacteristic
109#15689032C2211yescharacteristic
110#15689032C2211yescharacteristic, complemented
111#15689031C2211yescharacteristic
112#15689031C2211yescharacteristic
113#15689031C2211yescharacteristic
114#15689031C2211yescharacteristic
115#15689031C2211yescharacteristic
116#15689031C2211yescharacteristic
117#15689031C2211yescharacteristic, complemented
118#15689031C2211yescharacteristic, complemented
119#15689027C2211yescharacteristic, complemented
120#15689027C2211yescharacteristic, complemented
121#15689026C2211yescharacteristic
122#15689026C2211yescharacteristic
123#15689026C2211yescharacteristic, complemented
124#15689023C2211yescharacteristic
125#15689023C2211yescharacteristic
126#15689023C2211yescharacteristic
127#15689023C2211yescharacteristic, complemented
128#15689023C2211yescharacteristic, complemented
129#15689023C2211yescharacteristic, complemented
130#15689020C2211yescharacteristic, complemented
131#15689018C2211yescharacteristic, complemented
132#15689018C2211yescharacteristic, complemented
133#15689016C2211yescharacteristic, complemented
134#15689016C2211yescharacteristic, complemented
135#15689016C2211yescharacteristic, complemented
136#15689016C2211yescharacteristic, complemented
137#15689015C2211yescharacteristic, complemented
138#15689015C2211yescharacteristic, complemented
139#15689015C2211yescharacteristic, complemented
140#15689013C2211yescharacteristic, complemented
141#15689013C2211yescharacteristic, complemented
142#15689011C2211yescharacteristic, complemented
143#15689011C2211yescharacteristic, complemented
144#15689011C2211yescharacteristic, complemented
145#15689011C2211yescharacteristic, complemented
146#15689011C2211yescharacteristic, complemented
147#15689008C2211yescharacteristic, complemented
148#15689005C2211yescharacteristic, complemented
149#15689003C2211yescharacteristic, complemented
150#15689002C2211yescharacteristic
151#15689002C2211yescharacteristic
152#15689002C2211yescharacteristic
153#15689002C2211yescharacteristic
154#15689001C2211yescharacteristic, complemented
155#15689001C2211yescharacteristic, complemented
156#15688999C2211yescharacteristic
157#15688999C2211yescharacteristic, complemented
158#15688999C2211yescharacteristic, complemented
159#15688997C2211yescharacteristic, complemented
160#15688996C2211yescharacteristic, complemented
161#15688996C2211yescharacteristic, complemented
162#15688996C2211yescharacteristic, complemented
163#15688996C2211yescharacteristic, complemented
164#15688995C2211yescharacteristic, complemented
165#15688986C2211yescharacteristic, complemented
166#15688986C2211yescharacteristic, complemented
167#15688985C2211yescharacteristic, complemented
168#15688985C2211yescharacteristic, complemented
169#15688982C2211yescharacteristic, complemented
170#15688979C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172#15688974C2211yescharacteristic, complemented
173#15688968C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic
176C2×#121×C47C2211yescharacteristic
177C2×#121×C47C2211yescharacteristic
178C2×#120×C47C2211yescharacteristic
179C2×#120×C47C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
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
209C22×C22⋊D47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214#13094020—42no—
215#13094019—24no—
216#13094017—24no—
217#13094011—24no—
218#13094010—24no—
219#13094010—42no—
220#13094007—24no—
221#13094007—24no—
222#13094007—24no—
223#13094007—42no—
224#13094006—42no—
225#13094005—24no—
226#13094003—24no—
227#13094003—24no—
228#13094002—24no—
229#13094001—42no—
230#13093998—24no—
231#13093998—24no—
232#13093996—24no—
233#13093996—42no—
234#13093995—24no—
235#13093994—42no—
236#13093993—24no—
237#13093993—24no—
238#13093993—42no—
239#13093992—24no—
240#13093992—24no—
241#13093992—42no—
242#13093992—42no—
243C4×C22⋊D47—24no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246C4×C22⋊D47D418yescomplemented
247(C22⋊D47)⋊C4—24no—
248#13093983—24no—
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
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
318C22⋊C4×D47—24no—
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C25×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47—24no—
357C23×C4×C47—42no—
358C23×C4×C47—42no—
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#121×C47—24no—
366#121×C47—42no—
367#121×C47—42no—
368#120×C47—42no—
369#120×C47—42no—
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C24×C47C2411yescharacteristic
403C23×D47—22no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—22no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—41no—
445C22×C4×C47—41no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—416no—
452C22×C4×C47C2×D414yes—
453C22×C4×C47C2411yescharacteristic
454C22×C4×C47C2411yescharacteristic
455C22×C4×C47C2411yescharacteristic
456C22×C4×C47C2411yescharacteristic
457C22×C4×C47C2411yescharacteristic
458C22×C4×C47C2411yescharacteristic
459C22×C4×C47C2411yescharacteristic
460C22×C4×C47C2411yescharacteristic
461C22×C4×C47C2411yescharacteristic
462C22×C4×C47C2411yescharacteristic
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—22no—
468C2×C22⋊D47—22no—
469C2×C22⋊D47—22no—
470C2×C22⋊D47—22no—
471C2×C22⋊D47—22no—
472C2×C22⋊D47—22no—
473C2×C22⋊D47—22no—
474C2×C22⋊D47—22no—
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
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⋊D47—41no—
494C2×C22⋊D47—41no—
495C2×C22⋊D47—41no—
496C2×C22⋊D47—41no—
497C2×C22⋊D47—41no—
498C2×C22⋊D47—41no—
499C2×C22⋊D47—41no—
500C2×C22⋊D47—41no—
501C2×C22⋊D47C2×D414yes—
502C22×Dic47—22no—
503C22×Dic47—41no—
504C22×Dic47—41no—
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C22×Dic47C2411yescharacteristic
518#10625350—416no—
519C2×D188—22no—
520C2×D188—22no—
521C2×D188—41no—
522C2×D188—41no—
523C2×D188—41no—
524C2×D188—41no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
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—41no—
542C4⋊C4×C47—41no—
543C22⋊C4×C47—22no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
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—22no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573C22⋊Dic47—41no—
574C22⋊Dic47—41no—
575C22⋊Dic47—41no—
576C22⋊Dic47—41no—
577C22⋊Dic47—41no—
578C22⋊Dic47—41no—
579C22⋊Dic47C2×D414yes—
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—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
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)⋊C4C2×D414yes—
603C4⋊Dic47—22no—
604C4⋊Dic47—22no—
605C4⋊Dic47—22no—
606C4⋊Dic47—41no—
607C4⋊Dic47—41no—
608C4⋊Dic47—41no—
609Dic47⋊C4—22no—
610Dic47⋊C4—22no—
611Dic47⋊C4—22no—
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—21no—
657C23×C47—21no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—44no—
664C23×C47—44no—
665C23×C47—44no—
666C23×C47—44no—
667C23×C47—44no—
668C23×C47—44no—
669C23×C47—44no—
670C23×C47C22×D412yes—
671C23×C47H(5,𝔽2)12yes—
672C23×C47H(5,𝔽2)12yes—
673C23×C47C2511yescharacteristic
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—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—
705D4×C47—82no—
706D4×C47—82no—
707D4×C47—82no—
708D4×C47—82no—
709C2×C4×C47—28no—
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—21no—
737C2×C4×C47—44no—
738C2×C4×C47—44no—
739C2×C4×C47—44no—
740C2×C4×C47—44no—
741C2×C4×C47—44no—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C2×C4×C47H(5,𝔽2)12yes—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—44no—
749C22⋊D47—44no—
750C22⋊D47—44no—
751C22⋊D47—44no—
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×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—82no—
795C2×Dic47C22×D412yes—
796C2×Dic47C22×D412yes—
797C2×Dic47C22×D412yes—
798D188—44no—
799D188—82no—
800C4×D47—44no—
801C4×D47—44no—
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×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47C23×D411yescharacteristic
843C22×C47C2×H(5,𝔽2)11yescharacteristic
844C22×C47C2×H(5,𝔽2)11yescharacteristic
845C22×C47C2×H(5,𝔽2)11yescharacteristic
846C22×C47#58511yescharacteristic
847C22×C47#58511yescharacteristic
848C22×C47#58511yescharacteristic
849C2×D47—22no—
850C2×D47—22no—
851C2×D47—22no—
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—
881Dic47—22no—
882Dic47—22no—
883Dic47—22no—
884Dic47—41no—
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#2849—471no—
897#2847D4711yescharacteristic, complemented
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—81no—
930C2×C47#344911yescharacteristic
931C2×C47#348411yescharacteristic
932C2×C47#348811yescharacteristic
933C2×C47#353311yescharacteristic
934C2×C47#353411yescharacteristic
935C2×C47#354011yescharacteristic
936C2×C47#354211yescharacteristic
937D47—42no—
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×#123—471no—
955C2×#123—471no—
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×#121C2×D4711yescharacteristic
966C2×#121C2×D4711yescharacteristic
967C2×#121C2×D4711yescharacteristic
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120C2×D4711yescharacteristic
977C2×#120C2×D4711yescharacteristic, complemented
978C2×C4×D4—471no—
979C2×C4×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#386C2×D4711yescharacteristic
1074#386C2×D4711yescharacteristic
1075#386C2×D4711yescharacteristic
1076#386C2×D4711yescharacteristic, complemented
1077#386C2×D4711yescharacteristic, complemented
1078#386C2×D4711yescharacteristic, complemented
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385—471no—
1084#385—471no—
1085#381—471no—
1086#381—471no—
1087#381—471no—
1088#381—471no—
1089#380—471no—
1090#380C2×D4711yescharacteristic, complemented
1091#380C2×D4711yescharacteristic, complemented
1092#380C2×D4711yescharacteristic, complemented
1093#379—471no—
1094#379—471no—
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×D4C22×D4711yescharacteristic
1121C22×D4C22×D4711yescharacteristic
1122C22×D4C22×D4711yescharacteristic
1123C22×D4C22×D4711yescharacteristic
1124C22×D4C22×D4711yescharacteristic
1125C22×D4C22×D4711yescharacteristic
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×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—944no—
1147#123—944no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—944no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—24no—
1157#121—42no—
1158#121—42no—
1159#121—944no—
1160#121—944no—
1161#121—944no—
1162#121—944no—
1163#121—1882no—
1164#120—42no—
1165#120—42no—
1166#120—944no—
1167#120—944no—
1168#120—944no—
1169#120—944no—
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⋊C4—471no—
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—944no—
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#95—471no—
1293#95—471no—
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—942no—
1311C24—1881no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24C23×D4711yescharacteristic
1318C24C23×D4711yescharacteristic
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—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—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—474no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—942no—
1362C2×D4—942no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—942no—
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—471no—
1427C22×C4—942no—
1428C22×C4—942no—
1429C22×C4—942no—
1430C22×C4—1881no—
1431C22×C4—1881no—
1432C22×C4—1881no—
1433C22×C4—1881no—
1434C22×C4—1881no—
1435C22×C4—1881no—
1436C22×C4—1881no—
1437C22×C4—1881no—
1438C22×C4D4×D4714yes—
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—474no—
1453C4⋊C4—942no—
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—942no—
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—474no—
1486C22⋊C4—474no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊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—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—472no—
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#1309406912yes—
1610C23C24×D4711yescharacteristic
1611Q8—3762no—
1612Q8—1884no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
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—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—472no—
1669C2×C4—472no—
1670C2×C4—472no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—941no—
1705C2×C4—941no—
1706C2×C4—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—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—942no—
1751C22—942no—
1752C22—942no—
1753C22—3768no—
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×#1309406911yescharacteristic
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—942no—
1790C4—942no—
1791C4—942no—
1792C4—1881no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—3761no—
1808C2—3761no—
1809C2—1882no—
1810C2#2025671811yescharacteristic
1811C2#2025701711yescharacteristic
1812C2#2025705311yescharacteristic
1813C2#2025755211yescharacteristic
1814C2#2025757811yescharacteristic
1815C2#2025766311yescharacteristic
1816C2#2025770811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2847C2
hypercenter#2847D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#15689705C2semidirect
2. C2×#15689634C2semidirect
3. #20251680C2semidirect
4. #20250061C2semidirect
5. #20250016C2semidirect
6. #20249990C2semidirect
7. #20249977C2semidirect
8. #20249810C2semidirect
9. #20249749C2semidirect
10. #20249744C2semidirect
11. #20249734C2semidirect
12. #20249722C2semidirect
13. #20249716C2semidirect
14. #20249714C2semidirect
15. #20249709C2semidirect
16. #20249640C2semidirect
17. #20249610C2semidirect
18. #20249605C2semidirect
19. #20249600C2semidirect
20. #20249273C2semidirect
21. #20249229C2semidirect
22. #20249071C2semidirect
23. #20249012C2semidirect
24. #20248981C2semidirect
25. #20248972C2semidirect
26. #20248357C2semidirect
27. #20248276C2semidirect
28. #20246730C2semidirect
29. #20246705C2semidirect
30. #20246030C2semidirect
31. C47×#2847C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094017C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094010C22semidirect
44. C2×#13094007C22semidirect
46. C2×#13094005C22semidirect
47. C2×#13094003C22semidirect
48. C2×#13094003C22semidirect
49. C2×#13094002C22semidirect
50. C2×#13094001C22semidirect
54. C2×#13093996C22semidirect
56. C2×#13093994C22semidirect
59. C2×#13093993C22semidirect
63. C2×#13093992C22semidirect
66. C2×C4×C22⋊D47C22semidirect
67. C2×C4×C22⋊D47C22semidirect
68. C2×(C22⋊D47)⋊C4C22semidirect
69. C2×#13093983C22semidirect
70. C2×C22⋊C4×D47C22semidirect
71. #15689061C22semidirect
72. #15689058C22semidirect
73. #15689057C22semidirect
74. #15689055C22semidirect
75. #15689053C22semidirect
76. #15689052C22semidirect
77. #15689051C22semidirect
78. #15689048C22semidirect
79. #15689047C22semidirect
80. #15689046C22semidirect
81. #15689046C22semidirect
82. #15689046C22semidirect
83. #15689045C22semidirect
84. #15689045C22semidirect
85. #15689044C22semidirect
86. #15689041C22semidirect
87. #15689041C22semidirect
88. #15689040C22semidirect
91. #15689039C22semidirect
92. #15689039C22semidirect
93. #15689039C22semidirect
97. #15689038C22semidirect
98. #15689038C22semidirect
102. #15689037C22semidirect
103. #15689037C22semidirect
104. #15689037C22semidirect
105. #15689036C22semidirect
106. #15689035C22semidirect
107. #15689035C22semidirect
110. #15689032C22semidirect
117. #15689031C22semidirect
118. #15689031C22semidirect
119. #15689027C22semidirect
120. #15689027C22semidirect
123. #15689026C22semidirect
127. #15689023C22semidirect
128. #15689023C22semidirect
129. #15689023C22semidirect
130. #15689020C22semidirect
131. #15689018C22semidirect
132. #15689018C22semidirect
133. #15689016C22semidirect
134. #15689016C22semidirect
135. #15689016C22semidirect
136. #15689016C22semidirect
137. #15689015C22semidirect
138. #15689015C22semidirect
139. #15689015C22semidirect
140. #15689013C22semidirect
141. #15689013C22semidirect
142. #15689011C22semidirect
143. #15689011C22semidirect
144. #15689011C22semidirect
145. #15689011C22semidirect
146. #15689011C22semidirect
147. #15689008C22semidirect
148. #15689005C22semidirect
149. #15689003C22semidirect
154. #15689001C22semidirect
155. #15689001C22semidirect
157. #15688999C22semidirect
158. #15688999C22semidirect
159. #15688997C22semidirect
160. #15688996C22semidirect
161. #15688996C22semidirect
162. #15688996C22semidirect
163. #15688996C22semidirect
164. #15688995C22semidirect
165. #15688986C22semidirect
166. #15688986C22semidirect
167. #15688985C22semidirect
168. #15688985C22semidirect
169. #15688982C22semidirect
170. #15688979C22semidirect
171. #15688978C22semidirect
172. #15688974C22semidirect
173. #15688968C22semidirect
174. C24×C4×C47C22semidirect
179. C2×#120×C47C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#380C22semidirect
187. C47×#380C22semidirect
188. C47×#380C22semidirect
246. C4×C22⋊D47D4semidirect
897. #2847D47semidirect
941. C24×C4C2×D47semidirect
977. C2×#120C2×D47semidirect
1076. #386C2×D47semidirect
1077. #386C2×D47semidirect
1078. #386C2×D47semidirect
1090. #380C2×D47semidirect
1091. #380C2×D47semidirect
1092. #380C2×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×#156897052
C2×#156896342
#202516802
#202500612
#202500162
#202499902
#202499772
#202498102
#202497492
#202497442
#202497342
#202497222
#202497162
#202497142
#202497092
#202496402
#202496102
#202496052
#202496002
#202492732
#202492292
#202490712
#202490122
#202489812
#202489722
#202483572
#202482762
#202467302
#202467052
#202460302
C47×#28472
#3672447