Finite Group Databasebeta

← #26423045

Subgroups — #26423045

Order 12032.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689705C211yesmaximal, characteristic
2C2×C22⋊Q8×D47C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251677C211yesmaximal, characteristic, complemented
5#20249838C211yesmaximal, characteristic, complemented
6#20249837C211yesmaximal, characteristic, complemented
7#20249836C211yesmaximal, characteristic, complemented
8#20249835C211yesmaximal, characteristic, complemented
9#20249815C211yesmaximal, characteristic, complemented
10#20249813C211yesmaximal, characteristic, complemented
11#20249812C211yesmaximal, characteristic, complemented
12#20249810C211yesmaximal, characteristic, complemented
13#20249676C211yesmaximal, characteristic, complemented
14#20249674C211yesmaximal, characteristic, complemented
15#20249671C211yesmaximal, characteristic, complemented
16#20249669C211yesmaximal, characteristic, complemented
17#20249634C211yesmaximal, characteristic, complemented
18#20249633C211yesmaximal, characteristic, complemented
19#20249632C211yesmaximal, characteristic, complemented
20#20249160C211yesmaximal, characteristic, complemented
21#20249160C211yesmaximal, characteristic, complemented
22#20248862C211yesmaximal, characteristic, complemented
23#20248766C211yesmaximal, characteristic, complemented
24#20248733C211yesmaximal, characteristic, complemented
25#20248730C211yesmaximal, characteristic, complemented
26#20247701C211yesmaximal, characteristic, complemented
27#20247698C211yesmaximal, characteristic, complemented
28#20247043C211yesmaximal, characteristic, complemented
29#20247027C211yesmaximal, characteristic, complemented
30#20245982C211yesmaximal, characteristic, complemented
31C47×#2672C211yesmaximal, characteristic, complemented
32C22×Q8×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689705—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094023C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic
38C2×#13094017C2211yescharacteristic
39C2×#13094011C2211yescharacteristic
40C2×#13094011C2211yescharacteristic, complemented
41C2×#13094010C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094005C2211yescharacteristic
46C2×#13094005C2211yescharacteristic
47C2×#13094004C2211yescharacteristic
48C2×#13094003C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094001C2211yescharacteristic
53C2×#13094001C2211yescharacteristic
54C2×#13094000C2211yescharacteristic
55C22⋊Q8×D47—28no—
56C2×#13093996C2211yescharacteristic
57C2×#13093995C2211yescharacteristic
58C2×#13093992C2211yescharacteristic
59C2×#13093992C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×C4⋊C4×D47C2211yescharacteristic
63C2×C4⋊C4×D47C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67#15689064C2211yescharacteristic, complemented
68#15689064C2211yescharacteristic, complemented
69#15689063C2211yescharacteristic, complemented
70#15689063C2211yescharacteristic, complemented
71#15689062C2211yescharacteristic, complemented
72#15689061C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689054C2211yescharacteristic, complemented
81#15689053C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic
83#15689052C2211yescharacteristic
84#15689051C2211yescharacteristic
85#15689051C2211yescharacteristic
86#15689049C2211yescharacteristic
87#15689049C2211yescharacteristic
88#15689048C2211yescharacteristic
89#15689048C2211yescharacteristic
90#15689046C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689044C2211yescharacteristic, complemented
94#15689044C2211yescharacteristic, complemented
95#15689043C2211yescharacteristic, complemented
96#15689043C2211yescharacteristic, complemented
97#15689042C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic
99#15689039C2211yescharacteristic
100#15689038C2211yescharacteristic
101#15689038C2211yescharacteristic
102#15689037C2211yescharacteristic
103#15689037C2211yescharacteristic
104#15689037C2211yescharacteristic, complemented
105#15689035C2211yescharacteristic, complemented
106#15689035C2211yescharacteristic, complemented
107#15689035C2211yescharacteristic, complemented
108#15689035C2211yescharacteristic, complemented
109#15689030C2211yescharacteristic, complemented
110#15689029C2211yescharacteristic, complemented
111#15689027C2211yescharacteristic, complemented
112#15689027C2211yescharacteristic, complemented
113#15689022C2211yescharacteristic, complemented
114#15689021C2211yescharacteristic, complemented
115#15689019C2211yescharacteristic, complemented
116#15689018C2211yescharacteristic, complemented
117#15689018C2211yescharacteristic, complemented
118#15689018C2211yescharacteristic, complemented
119#15689018C2211yescharacteristic, complemented
120#15689017C2211yescharacteristic
121#15689016C2211yescharacteristic
122#15689016C2211yescharacteristic, complemented
123#15689016C2211yescharacteristic, complemented
124#15689015C2211yescharacteristic
125#15689014C2211yescharacteristic
126#15689013C2211yescharacteristic
127#15689012C2211yescharacteristic
128#15689011C2211yescharacteristic
129#15689011C2211yescharacteristic, complemented
130#15689011C2211yescharacteristic, complemented
131#15689009C2211yescharacteristic, complemented
132#15689008C2211yescharacteristic, complemented
133#15689005C2211yescharacteristic, complemented
134#15689004C2211yescharacteristic, complemented
135#15689003C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688997C2211yescharacteristic
152#15688996C2211yescharacteristic
153#15688996C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic
161#15688986C2211yescharacteristic
162#15688985C2211yescharacteristic
163#15688985C2211yescharacteristic
164#15688984C2211yescharacteristic
165#15688983C2211yescharacteristic, complemented
166#15688982C2211yescharacteristic
167#15688981C2211yescharacteristic, complemented
168#15688981C2211yescharacteristic, complemented
169#15688980C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172C4×(C2×D47)⋊C4C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×#124×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic
176C2×C22⋊Q8×C47C2211yescharacteristic
177C2×#121×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic, complemented
179C47×#396C2211yescharacteristic, complemented
180C47×#395C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic
182C47×#394C2211yescharacteristic
183C47×#394C2211yescharacteristic, complemented
184C47×#389C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C2×Q8×D47—24no—
195C2×Q8×D47—42no—
196C2×Q8×D47—42no—
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—24no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214#13094023—42no—
215#13094023—42no—
216#13094019—24no—
217#13094017—24no—
218#13094011—24no—
219#13094011—42no—
220#13094010—24no—
221#13094007—24no—
222#13094006—42no—
223#13094006—42no—
224#13094005—24no—
225#13094005—42no—
226#13094004—24no—
227#13094003—24no—
228#13094002—24no—
229#13094002—24no—
230#13094002—24no—
231#13094001—24no—
232#13094001—24no—
233#13094000—24no—
234#13093996—24no—
235#13093995—24no—
236#13093992—24no—
237#13093992—24no—
238C4×C22⋊D47—24no—
239(C22⋊D47)⋊C4—24no—
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
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
269C4⋊C4×D47—24no—
270C4⋊C4×D47—24no—
271C4⋊C4×D47—24no—
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×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C22⋊C4×D47—24no—
306C22⋊C4×D47D418yes—
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C22×Q8×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352#124×C47—42no—
353#123×C47—42no—
354C22⋊Q8×C47—24no—
355#121×C47—24no—
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2×D414yes—
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×Q8×C47—22no—
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—41no—
404C2×D4×C47—41no—
405C2×D4×C47—41no—
406C2×D4×C47—41no—
407C2×D4×C47—41no—
408C2×D4×C47—41no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459Q8×D47—416no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
466C2×C4×D47—22no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—416no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47C2×D414yes—
484C2×C4×D47C2×D414yes—
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94—22no—
488C2×Dic94—22no—
489C2×Dic94—22no—
490C2×Dic94—22no—
491C2×Dic94—22no—
492C2×Dic94—41no—
493C2×Dic94—41no—
494C2×Dic94—41no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C22⋊C4×C47—41no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47C2×D414yes—
519C42×C47—41no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47—41no—
533C22⋊Dic47—41no—
534C22⋊Dic47—41no—
535C22⋊Dic47—41no—
536C22⋊Dic47C2×D414yes—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4C2×D414yes—
552(C2×D47)⋊C4C2×D414yes—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581Dic47⋊C4—41no—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47—41no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47C22×D412yes—
608C23×C47C2511yescharacteristic
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—28no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47C22×D412yes—
627C22×D47C22×D412yes—
628C22×D472−1+412yes—
629C22×D472−1+412yes—
630Q8×C47—44no—
631D4×C47—82no—
632D4×C47—82no—
633D4×C47—82no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—44no—
668C2×C4×C47—82no—
669C2×C4×C47C22×D412yes—
670C2×C4×C47C22×D412yes—
671C2×C4×C47H(5,𝔽2)12yes—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—44no—
716C2×Dic47—82no—
717C2×Dic47C22×D412yes—
718C2×Dic47C22×D412yes—
719C2×Dic47H(5,𝔽2)12yes—
720C4×D47—28no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728Dic94—44no—
729Dic94—44no—
730Dic94—44no—
731Dic94—82no—
732#36705—471nomaximal, Sylow
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47C23×D411yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×2−1+411yescharacteristic
758C22×C47C2×2−1+411yescharacteristic
759C22×C47#58511yescharacteristic
760C22×C47#58511yescharacteristic
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—416no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47#53614yes—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—22no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788Dic47—22no—
789Dic47—22no—
790Dic47—22no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802C2×#538—471no—
803C22×C22⋊Q8—471no—
804#2849—471no—
805#2849—471no—
806#2689—471no—
807#2689—471no—
808#2689—471no—
809#2689—471no—
810#2687—471no—
811#2687—471no—
812#2687—471no—
813#2687—471no—
814#2674—471no—
815#2674—471no—
816#2674—471no—
817#2674—471no—
818#2672—471no—
819#2672—471no—
820#2672—471no—
821#2672D4711yescharacteristic, complemented
822#2622—471no—
823#2622—471no—
824#2591—471no—
825#2583—471no—
826#2579—471no—
827#2579—471no—
828#2487—471no—
829#2487—471no—
830#2436—471no—
831#2434—471no—
832#2312—471no—
833C2×C47—42no—
834C2×C47—81no—
835C2×C47—81no—
836C2×C47C2×#53611yescharacteristic
837C2×C47#348411yescharacteristic
838C2×C47#348511yescharacteristic
839C2×C47#354111yescharacteristic
840C2×C47#354111yescharacteristic
841C2×C47#354111yescharacteristic
842C2×C47#354111yescharacteristic
843D47—24no—
844D47—42no—
845C23×Q8—471no—
846C24×C4—471no—
847#538—948no—
848C2×C4⋊Q8—471no—
849C2×C4⋊Q8—471no—
850C2×#126—471no—
851C2×#126—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124C2×D4711yescharacteristic, complemented
856C2×#123—471no—
857C2×#123—471no—
858C2×#123—471no—
859C2×#123—471no—
860C2×#123—471no—
861C2×#123C2×D4711yescharacteristic
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×C22⋊Q8—471no—
865C2×C22⋊Q8—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—948no—
871C2×C22⋊Q8C2×D4711yescharacteristic
872C2×#121—471no—
873C2×#121—471no—
874C2×#121C2×D4711yescharacteristic
875C2×#120—471no—
876C2×#120—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C22×C4⋊C4—471no—
880C22×C4⋊C4—471no—
881C22×C4⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4—471no—
884#400—471no—
885#400—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400—471no—
890#399—471no—
891#399—471no—
892#399—471no—
893#399C2×D4711yescharacteristic, complemented
894#398—471no—
895#398—471no—
896#398—471no—
897#398—471no—
898#398—471no—
899#398—471no—
900#397—471no—
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397—471no—
907#397—471no—
908#396—471no—
909#396—471no—
910#396—471no—
911#396C2×D4711yescharacteristic, complemented
912#395—471no—
913#395—471no—
914#395—471no—
915#395—471no—
916#395—471no—
917#395C2×D4711yescharacteristic, complemented
918#394—471no—
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394C2×D4711yescharacteristic
926#394C2×D4711yescharacteristic
927#394C2×D4711yescharacteristic, complemented
928#393—471no—
929#393—471no—
930#393—471no—
931#393—471no—
932#391—471no—
933#391—471no—
934#391—471no—
935#391—471no—
936#389—471no—
937#389—471no—
938#389—471no—
939#389—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#389C2×D4711yescharacteristic, complemented
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388C2×D4711yescharacteristic
956#387—471no—
957#387—471no—
958#387—471no—
959#387—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386C2×D4711yescharacteristic
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385—471no—
986#385—471no—
987#385C2×D4711yescharacteristic, complemented
988#381—471no—
989#381—471no—
990#381—471no—
991#381—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380C2×D4711yescharacteristic, complemented
998#379—471no—
999#379—471no—
1000C4×C22⋊C4—471no—
1001C4×C22⋊C4—471no—
1002C47#3670511yescharacteristic, complemented, Sylow
1003C25—471no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8—944no—
1009C22×Q8—1882no—
1010C22×Q8—1882no—
1011C22×Q8C22×D4711yescharacteristic
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4C22×D4711yescharacteristic
1017C22×D4C22×D4711yescharacteristic
1018C22×D4C22×D4711yescharacteristic
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—944no—
1030C23×C4—1882no—
1031C23×C4—1882no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034C4⋊Q8—1882no—
1035C4⋊Q8—1882no—
1036#126—944no—
1037#126—944no—
1038#124—42no—
1039#124—944no—
1040#124—944no—
1041#124—1882no—
1042#123—42no—
1043#123—944no—
1044#123—944no—
1045#123—1882no—
1046#123—1882no—
1047#123—1882no—
1048C22⋊Q8—24no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—944no—
1052C22⋊Q8—944no—
1053C22⋊Q8—944no—
1054C22⋊Q8—944no—
1055C22⋊Q8—944no—
1056C22⋊Q8—944no—
1057#121—24no—
1058#121—944no—
1059#121—944no—
1060#120—944no—
1061#120—944no—
1062C4×D4—944no—
1063C4×D4—944no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—944no—
1094C2×C4⋊C4—944no—
1095C2×C4⋊C4—944no—
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—478no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—944no—
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4C22×D4711yescharacteristic
1142C2×C22⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42C22×D4711yescharacteristic
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199C24—471no—
1200C24—471no—
1201C24—474no—
1202C24—942no—
1203C24—942no—
1204C24—1881no—
1205C24—1881no—
1206C24—1881no—
1207C24—1881no—
1208C24C23×D4711yescharacteristic
1209C24C23×D4711yescharacteristic
1210C24C23×D4711yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—942no—
1215C2×Q8—942no—
1216C2×Q8—942no—
1217C2×Q8—942no—
1218C2×Q8—942no—
1219C2×Q8—942no—
1220C2×Q8—942no—
1221C2×Q8—1881no—
1222C2×Q8—1881no—
1223C2×Q8—1881no—
1224C2×Q8—1881no—
1225C2×Q8—1881no—
1226C2×Q8—18816no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—474no—
1258C22×C4—474no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—18816no—
1296C22×C4—1881no—
1297C22×C4—1881no—
1298C22×C4—1881no—
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C22×C4C23×D4711yescharacteristic
1308C22×C4C23×D4711yescharacteristic
1309C22×C4C23×D4711yescharacteristic
1310C22×C4C23×D4711yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
1336C4⋊C4—942no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C4⋊C4—1881no—
1346C4⋊C4—1881no—
1347C4⋊C4—1881no—
1348C4⋊C4—1881no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—474no—
1362C22⋊C4—474no—
1363C22⋊C4—474no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—942no—
1370C22⋊C4—942no—
1371C22⋊C4—942no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4D4×D4714yes—
1395C42—41no—
1396C42—942no—
1397C42—942no—
1398C42—1881no—
1399C42—1881no—
1400C42—1881no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—472no—
1422C23—472no—
1423C23—472no—
1424C23—472no—
1425C23—948no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23C2×D4×D4712yes—
1443C23C24×D4711yescharacteristic
1444Q8—44no—
1445Q8—3762no—
1446Q8—1884no—
1447Q8—1884no—
1448Q8—1884no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—3762no—
1453D4—3762no—
1454D4—1884no—
1455D4—1884no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—472no—
1492C2×C4—472no—
1493C2×C4—472no—
1494C2×C4—948no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—3762no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4C2×D4×D4712yes—
1544C2×C4C2×D4×D4712yes—
1545C2×C4#1309406912yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—474no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—942no—
1576C22—942no—
1577C22—18816no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22C22×D4×D4711yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22C2×#1309406911yescharacteristic
1585C222−1+4×D4711yescharacteristic
1586C222−1+4×D4711yescharacteristic
1587C22#1568995811yescharacteristic
1588C22#1568995911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—942no—
1602C4—942no—
1603C4—942no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C2—42no—
1616C2—81no—
1617C2—81no—
1618C2—944no—
1619C2—1882no—
1620C2#536×D4711yescharacteristic
1621C2#2025701611yescharacteristic
1622C2#2025702511yescharacteristic
1623C2#2025766911yescharacteristic
1624C2#2025767011yescharacteristic
1625C2#2025767111yescharacteristic
1626C2#2025767211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2672C2
prime radicalC2×#15689705C2
hypercenter#2672D47
hypocenterC47#36705
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D47C2semidirect
3. #20251679C2semidirect
4. #20251677C2semidirect
5. #20249838C2semidirect
6. #20249837C2semidirect
7. #20249836C2semidirect
8. #20249835C2semidirect
9. #20249815C2semidirect
10. #20249813C2semidirect
11. #20249812C2semidirect
12. #20249810C2semidirect
13. #20249676C2semidirect
14. #20249674C2semidirect
15. #20249671C2semidirect
16. #20249669C2semidirect
17. #20249634C2semidirect
18. #20249633C2semidirect
19. #20249632C2semidirect
20. #20249160C2semidirect
21. #20249160C2semidirect
22. #20248862C2semidirect
23. #20248766C2semidirect
24. #20248733C2semidirect
25. #20248730C2semidirect
26. #20247701C2semidirect
27. #20247698C2semidirect
28. #20247043C2semidirect
29. #20247027C2semidirect
30. #20245982C2semidirect
31. C47×#2672C2semidirect
35. C2×#13094023C22semidirect
36. C2×#13094023C22semidirect
40. C2×#13094011C22semidirect
67. #15689064C22semidirect
68. #15689064C22semidirect
69. #15689063C22semidirect
70. #15689063C22semidirect
71. #15689062C22semidirect
72. #15689061C22semidirect
73. #15689059C22semidirect
74. #15689059C22semidirect
75. #15689059C22semidirect
76. #15689057C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689056C22semidirect
80. #15689054C22semidirect
81. #15689053C22semidirect
90. #15689046C22semidirect
91. #15689046C22semidirect
92. #15689046C22semidirect
93. #15689044C22semidirect
94. #15689044C22semidirect
95. #15689043C22semidirect
96. #15689043C22semidirect
97. #15689042C22semidirect
104. #15689037C22semidirect
105. #15689035C22semidirect
106. #15689035C22semidirect
107. #15689035C22semidirect
108. #15689035C22semidirect
109. #15689030C22semidirect
110. #15689029C22semidirect
111. #15689027C22semidirect
112. #15689027C22semidirect
113. #15689022C22semidirect
114. #15689021C22semidirect
115. #15689019C22semidirect
116. #15689018C22semidirect
117. #15689018C22semidirect
118. #15689018C22semidirect
119. #15689018C22semidirect
122. #15689016C22semidirect
123. #15689016C22semidirect
129. #15689011C22semidirect
130. #15689011C22semidirect
131. #15689009C22semidirect
132. #15689008C22semidirect
133. #15689005C22semidirect
134. #15689004C22semidirect
147. #15688998C22semidirect
153. #15688996C22semidirect
154. #15688995C22semidirect
165. #15688983C22semidirect
167. #15688981C22semidirect
168. #15688981C22semidirect
174. C2×#124×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#396C22semidirect
180. C47×#395C22semidirect
183. C47×#394C22semidirect
184. C47×#389C22semidirect
187. C47×#385C22semidirect
188. C47×#380C22semidirect
821. #2672D47semidirect
855. C2×#124C2×D47semidirect
893. #399C2×D47semidirect
911. #396C2×D47semidirect
917. #395C2×D47semidirect
927. #394C2×D47semidirect
943. #389C2×D47semidirect
987. #385C2×D47semidirect
997. #380C2×D47semidirect
1002. C47#36705semidirect

Maximal subgroups

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

subgroupindex
C2×#156897052
C2×C22⋊Q8×D472
#202516792
#202516772
#202498382
#202498372
#202498362
#202498352
#202498152
#202498132
#202498122
#202498102
#202496762
#202496742
#202496712
#202496692
#202496342
#202496332
#202496322
#202491602
#202488622
#202487662
#202487332
#202487302
#202477012
#202476982
#202470432
#202470272
#202459822
C47×#26722
#3670547