Finite Group Databasebeta

← #26423129

Subgroups — #26423129

Order 12032.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689753C211yesmaximal, characteristic, complemented
2C2×#123×D47C211yesmaximal, characteristic
3#20251676C211yesmaximal, characteristic, complemented
4#20251674C211yesmaximal, characteristic, complemented
5#20249915C211yesmaximal, characteristic, complemented
6#20249913C211yesmaximal, characteristic, complemented
7#20249910C211yesmaximal, characteristic, complemented
8#20249908C211yesmaximal, characteristic, complemented
9#20249903C211yesmaximal, characteristic, complemented
10#20249902C211yesmaximal, characteristic, complemented
11#20249901C211yesmaximal, characteristic, complemented
12#20249676C211yesmaximal, characteristic, complemented
13#20249673C211yesmaximal, characteristic, complemented
14#20249672C211yesmaximal, characteristic, complemented
15#20249671C211yesmaximal, characteristic, complemented
16#20249670C211yesmaximal, characteristic, complemented
17#20249669C211yesmaximal, characteristic, complemented
18#20249667C211yesmaximal, characteristic, complemented
19#20249666C211yesmaximal, characteristic, complemented
20#20249198C211yesmaximal, characteristic, complemented
21#20249194C211yesmaximal, characteristic, complemented
22#20248766C211yesmaximal, characteristic, complemented
23#20248762C211yesmaximal, characteristic, complemented
24#20247663C211yesmaximal, characteristic, complemented
25#20247660C211yesmaximal, characteristic, complemented
26#20247660C211yesmaximal, characteristic, complemented
27#20247657C211yesmaximal, characteristic, complemented
28#20247038C211yesmaximal, characteristic
29#20247034C211yesmaximal, characteristic
30#20245987C211yesmaximal, characteristic, complemented
31C47×#2694C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689753—28no—
35C2×#13094024C2211yescharacteristic, complemented
36C2×#13094023C2211yescharacteristic, complemented
37C2×#13094023C2211yescharacteristic, complemented
38C2×#13094023C2211yescharacteristic, complemented
39C2×#13094015C2211yescharacteristic, complemented
40C2×#13094014C2211yescharacteristic, complemented
41C2×#13094014C2211yescharacteristic, complemented
42C2×#13094012C2211yescharacteristic
43C2×#13094011C2211yescharacteristic
44C2×#13094010C2211yescharacteristic
45C2×#13094010C2211yescharacteristic
46C2×#13094009C2211yescharacteristic
47C2×#13094009C2211yescharacteristic
48C2×#13094008C2211yescharacteristic
49C2×#13094007C2211yescharacteristic
50C2×#13094006C2211yescharacteristic
51C2×#13094006C2211yescharacteristic
52C2×#13094005C2211yescharacteristic
53#123×D47—28no—
54C2×#13094004C2211yescharacteristic
55C2×#13094004C2211yescharacteristic
56C2×#13094004C2211yescharacteristic, complemented
57C2×#13094003C2211yescharacteristic, complemented
58C2×#13094002C2211yescharacteristic
59C2×#13094002C2211yescharacteristic
60C2×#13094002C2211yescharacteristic, complemented
61C2×#13094001C2211yescharacteristic, complemented
62C2×#13093982C2211yescharacteristic
63C2×#13093981C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69#15689060C2211yescharacteristic, complemented
70#15689059C2211yescharacteristic, complemented
71#15689059C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic, complemented
74#15689058C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689058C2211yescharacteristic, complemented
78#15689058C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689054C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic, complemented
85#15689051C2211yescharacteristic, complemented
86#15689050C2211yescharacteristic, complemented
87#15689049C2211yescharacteristic, complemented
88#15689048C2211yescharacteristic, complemented
89#15689046C2211yescharacteristic, complemented
90#15689046C2211yescharacteristic, complemented
91#15689046C2211yescharacteristic, complemented
92#15689045C2211yescharacteristic, complemented
93#15689045C2211yescharacteristic, complemented
94#15689045C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689044C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689043C2211yescharacteristic, complemented
99#15689043C2211yescharacteristic, complemented
100#15689041C2211yescharacteristic
101#15689040C2211yescharacteristic
102#15689039C2211yescharacteristic
103#15689039C2211yescharacteristic
104#15689039C2211yescharacteristic
105#15689039C2211yescharacteristic
106#15689037C2211yescharacteristic
107#15689036C2211yescharacteristic, complemented
108#15689036C2211yescharacteristic, complemented
109#15689035C2211yescharacteristic, complemented
110#15689035C2211yescharacteristic, complemented
111#15689024C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic
114#15689022C2211yescharacteristic, complemented
115#15689022C2211yescharacteristic, complemented
116#15689021C2211yescharacteristic, complemented
117#15689020C2211yescharacteristic, complemented
118#15689020C2211yescharacteristic, complemented
119#15689018C2211yescharacteristic, complemented
120#15689018C2211yescharacteristic, complemented
121#15689017C2211yescharacteristic, complemented
122#15689017C2211yescharacteristic, complemented
123#15689016C2211yescharacteristic, complemented
124#15689016C2211yescharacteristic, complemented
125#15689015C2211yescharacteristic, complemented
126#15689015C2211yescharacteristic, complemented
127#15689014C2211yescharacteristic, complemented
128#15689014C2211yescharacteristic, complemented
129#15689013C2211yescharacteristic, complemented
130#15689013C2211yescharacteristic, complemented
131#15689012C2211yescharacteristic, complemented
132#15689012C2211yescharacteristic, complemented
133#15689011C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689010C2211yescharacteristic, complemented
136#15689009C2211yescharacteristic, complemented
137#15689008C2211yescharacteristic, complemented
138#15689007C2211yescharacteristic, complemented
139#15689006C2211yescharacteristic, complemented
140#15689005C2211yescharacteristic, complemented
141#15689004C2211yescharacteristic, complemented
142#15688998C2211yescharacteristic, complemented
143#15688998C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688982C2211yescharacteristic
160#15688982C2211yescharacteristic, complemented
161#15688981C2211yescharacteristic, complemented
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172C4×(C2×D47)⋊C4C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×#125×C47C2211yescharacteristic, complemented
175C2×#123×C47C2211yescharacteristic
176C47×#399C2211yescharacteristic, complemented
177C47×#399C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#396C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic
182C47×#390C2211yescharacteristic
183C47×#389C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#388C2211yescharacteristic, complemented
186C47×#387C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#380C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—24no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094024—24no—
213#13094023—24no—
214#13094023—24no—
215#13094023—24no—
216#13094015—24no—
217#13094014—24no—
218#13094014—24no—
219#13094012—42no—
220#13094011—42no—
221#13094010—42no—
222#13094010—42no—
223#13094009—24no—
224#13094009—24no—
225#13094008—24no—
226#13094007—24no—
227#13094006—24no—
228#13094006—24no—
229#13094005—24no—
230#13094004—24no—
231#13094004—24no—
232#13094004—42no—
233#13094003—42no—
234#13094002—24no—
235#13094002—24no—
236#13094002—42no—
237#13094001—42no—
238#13093982—24no—
239#13093981—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×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
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
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C4⋊C4×D47—24no—
273C4⋊C4×D47D418yes—
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×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(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
315C22⋊C4×D47—24no—
316C22⋊C4×D47—24no—
317C22⋊C4×D47—24no—
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
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
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350#125×C47—24no—
351#123×C47—24no—
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊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×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—22no—
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—41no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—41no—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—41no—
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445D4×D47—416no—
446C2×D188—22no—
447C2×D188—22no—
448C2×D188—41no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—416no—
468C2×C4×D47C2×D414yes—
469C2×C4×D47C2×D414yes—
470C2×C4×D47C2×D414yes—
471C2×Dic94—22no—
472C2×Dic94—22no—
473C2×Dic94—22no—
474C2×Dic94—22no—
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94—41no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C2×Dic94—41no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47C2×D414yes—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C42×C47—22no—
507C42×C47—41no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549C4⋊Dic47—22no—
550C4⋊Dic47—22no—
551C4⋊Dic47—22no—
552C4⋊Dic47—22no—
553C4⋊Dic47—22no—
554C4⋊Dic47—22no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559C4⋊Dic47—41no—
560C4⋊Dic47C2×D414yes—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4C2×D414yes—
580Dic47⋊C4C2×D414yes—
581C4×Dic47—22no—
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×C47H(5,𝔽2)12yes—
601C23×C47C2511yescharacteristic
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—28no—
607C22×D47—21no—
608C22×D47—21no—
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—21no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47—44no—
629C22×D47—82no—
630C22×D47—82no—
631C22×D47—82no—
632C22×D47—82no—
633C22×D47C22×D412yes—
634C22×D47H(5,𝔽2)12yes—
635C22×D472−1+412yes—
636C22×D472−1+412yes—
637D4×C47—44no—
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—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—44no—
675C2×C4×C47C22×D412yes—
676C2×C4×C47C22×D412yes—
677C2×C4×C47C22×D412yes—
678C22⋊D47—44no—
679C22⋊D47—44no—
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—21no—
716C2×Dic47—44no—
717C2×Dic47C22×D412yes—
718C2×Dic47C22×D412yes—
719C2×Dic47C22×D412yes—
720D188—44no—
721C4×D47—28no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726C4×D47—44no—
727C4×D47—44no—
728Dic94—82no—
729Dic94—82no—
730Dic94—82no—
731Dic94—82no—
732#36711—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×C47C23×D411yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×2−1+411yescharacteristic
751C22×C47C2×2−1+411yescharacteristic
752C22×C47#58511yescharacteristic
753C22×C47#58511yescharacteristic
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—416no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—88no—
776C2×D47#53614yes—
777C4×C47—22no—
778C4×C47—22no—
779C4×C47—22no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790Dic47—22no—
791Dic47—22no—
792Dic47—22no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803C2×#544—471no—
804C22×#123—471no—
805#2848—471no—
806#2848—471no—
807#2694—471no—
808#2694—471no—
809#2694—471no—
810#2694—471no—
811#2694—471no—
812#2694—471no—
813#2694—471no—
814#2694D4711yescharacteristic, complemented
815#2674—471no—
816#2674—471no—
817#2674—471no—
818#2674—471no—
819#2674—471no—
820#2674—471no—
821#2674—471no—
822#2674—471no—
823#2626—471no—
824#2626—471no—
825#2583—471no—
826#2583—471no—
827#2482—471no—
828#2482—471no—
829#2482—471no—
830#2482—471no—
831#2435—471no—
832#2435—471no—
833#2313—471no—
834C2×C47—42no—
835C2×C47—81no—
836C2×C47C2×#53611yescharacteristic
837C2×C47#348411yescharacteristic
838C2×C47#348711yescharacteristic
839C2×C47#353511yescharacteristic
840C2×C47#353511yescharacteristic
841C2×C47#353511yescharacteristic
842C2×C47#353511yescharacteristic
843D47—24no—
844D47—42no—
845D47—81no—
846C23×D4—471no—
847C24×C4—471no—
848#544—948no—
849C2×C4⋊Q8—471no—
850C2×C4⋊Q8—471no—
851C2×C4⋊Q8—471no—
852C2×C4⋊Q8—471no—
853C2×#125—471no—
854C2×#125—471no—
855C2×#125—471no—
856C2×#125C2×D4711yescharacteristic, complemented
857C2×#124—471no—
858C2×#124—471no—
859C2×#124—471no—
860C2×#124—471no—
861C2×#123—471no—
862C2×#123—471no—
863C2×#123—471no—
864C2×#123—471no—
865C2×#123—471no—
866C2×#123—471no—
867C2×#123—471no—
868C2×#123—948no—
869C2×#123C2×D4711yescharacteristic
870C2×C22⋊Q8—471no—
871C2×C22⋊Q8—471no—
872C2×C22⋊Q8—471no—
873C2×C22⋊Q8—471no—
874C2×C22⋊Q8—471no—
875C2×C22⋊Q8—471no—
876C2×C22⋊Q8—471no—
877C2×C22⋊Q8—471no—
878C2×#117—471no—
879C2×#117—471no—
880C22×C4⋊C4—471no—
881C22×C4⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4—471no—
884C22×C22⋊C4—471no—
885#399—471no—
886#399—471no—
887#399—471no—
888#399—471no—
889#399—471no—
890#399—471no—
891#399—471no—
892#399—471no—
893#399—471no—
894#399—471no—
895#399C2×D4711yescharacteristic, complemented
896#399C2×D4711yescharacteristic, complemented
897#398—471no—
898#398—471no—
899#398—471no—
900#398C2×D4711yescharacteristic, complemented
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397—471no—
907#397—471no—
908#397C2×D4711yescharacteristic, complemented
909#396—471no—
910#396—471no—
911#396—471no—
912#396—471no—
913#396—471no—
914#396—471no—
915#396—471no—
916#396C2×D4711yescharacteristic, complemented
917#395—471no—
918#395—471no—
919#395—471no—
920#395—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394C2×D4711yescharacteristic
929#393—471no—
930#393—471no—
931#393—471no—
932#393—471no—
933#390—471no—
934#390—471no—
935#390—471no—
936#390C2×D4711yescharacteristic
937#389—471no—
938#389—471no—
939#389—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#389C2×D4711yescharacteristic, complemented
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#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388C2×D4711yescharacteristic, complemented
960#388C2×D4711yescharacteristic, complemented
961#387—471no—
962#387—471no—
963#387—471no—
964#387—471no—
965#387—471no—
966#387—471no—
967#387—471no—
968#387C2×D4711yescharacteristic, complemented
969#385—471no—
970#385—471no—
971#385—471no—
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#385C2×D4711yescharacteristic, complemented
985#381—471no—
986#381—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380C2×D4711yescharacteristic, complemented
993#379—471no—
994#379—471no—
995#379—471no—
996#379—471no—
997#379—471no—
998#379—471no—
999#379—471no—
1000#379—471no—
1001C4×C22⋊C4—471no—
1002C4×C22⋊C4—471no—
1003C47#3671111yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25—471no—
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8—471no—
1009C22×Q8—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—944no—
1014C22×D4—1882no—
1015C22×D4—1882no—
1016C22×D4C22×D4711yescharacteristic
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—944no—
1026C23×C4—1882no—
1027C23×C4—1882no—
1028C23×C4C22×D4711yescharacteristic
1029C4⋊Q8—944no—
1030C4⋊Q8—944no—
1031C4⋊Q8—944no—
1032C4⋊Q8—944no—
1033#125—24no—
1034#125—944no—
1035#125—944no—
1036#125—944no—
1037#124—1882no—
1038#124—1882no—
1039#124—1882no—
1040#124—1882no—
1041#123—24no—
1042#123—944no—
1043#123—944no—
1044#123—944no—
1045#123—944no—
1046#123—944no—
1047#123—944no—
1048#123—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—944no—
1052C22⋊Q8—944no—
1053C22⋊Q8—1882no—
1054C22⋊Q8—1882no—
1055C22⋊Q8—1882no—
1056C22⋊Q8—1882no—
1057#117—944no—
1058#117—944no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—478no—
1063C2×C4⋊C4—471no—
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—944no—
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
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—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—944no—
1147C2×C22⋊C4—944no—
1148C2×C22⋊C4—944no—
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C22⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42C22×D4711yescharacteristic
1167C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200C24—471no—
1201C24—471no—
1202C24—471no—
1203C24—942no—
1204C24—942no—
1205C24—942no—
1206C24—942no—
1207C24—942no—
1208C24—942no—
1209C24—942no—
1210C24—942no—
1211C24—1881no—
1212C24—1881no—
1213C24—1881no—
1214C24—1881no—
1215C24—1881no—
1216C24—1881no—
1217C24C23×D4711yescharacteristic
1218C24C23×D4711yescharacteristic
1219C2×Q8—942no—
1220C2×Q8—942no—
1221C2×Q8—942no—
1222C2×Q8—942no—
1223C2×Q8—1881no—
1224C2×Q8—1881no—
1225C2×Q8—1881no—
1226C2×Q8—1881no—
1227C2×Q8—1881no—
1228C2×Q8—1881no—
1229C2×Q8—1881no—
1230C2×Q8—1881no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—41no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—18816no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—474no—
1251C22×C4—474no—
1252C22×C4—474no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—18816no—
1284C22×C4—1881no—
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—474no—
1310C4⋊C4—474no—
1311C4⋊C4—474no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C4⋊C4—1881no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4D4×D4714yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
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—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C42—22no—
1395C42—41no—
1396C42—942no—
1397C42—942no—
1398C42—942no—
1399C42—1881no—
1400C42—1881no—
1401C42—1881no—
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—472no—
1416C23—472no—
1417C23—472no—
1418C23—472no—
1419C23—948no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—3762no—
1438C23—3762no—
1439C23—3762no—
1440C23—3762no—
1441C23—1884no—
1442C23—1884no—
1443C23—1884no—
1444C23—1884no—
1445C23—1884no—
1446C23—1884no—
1447C23—1884no—
1448C23—1884no—
1449C23—1884no—
1450C23#1309407012yes—
1451C23C24×D4711yescharacteristic
1452Q8—3762no—
1453Q8—3762no—
1454Q8—3762no—
1455Q8—3762no—
1456D4—44no—
1457D4—1884no—
1458D4—1884no—
1459D4—1884no—
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—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
1500C2×C4—948no—
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—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4C2×D4×D4712yes—
1545C2×C4C2×D4×D4712yes—
1546C2×C4C2×D4×D4712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—474no—
1562C22—942no—
1563C22—942no—
1564C22—942no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—3768no—
1572C22—18816no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22C22×D4×D4711yescharacteristic
1585C22H(5,𝔽2)×D4711yescharacteristic
1586C22C2×#1309407011yescharacteristic
1587C222−1+4×D4711yescharacteristic
1588C222−1+4×D4711yescharacteristic
1589C22#1568995811yescharacteristic
1590C22#1568995911yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—942no—
1605C4—942no—
1606C4—942no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C2—42no—
1618C2—81no—
1619C2—944no—
1620C2—3761no—
1621C2—1882no—
1622C2#536×D4711yescharacteristic
1623C2#2025701811yescharacteristic
1624C2#2025704111yescharacteristic
1625C2#2025758811yescharacteristic
1626C2#2025759511yescharacteristic
1627C2#2025759611yescharacteristic
1628C2#2025760011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2694C2
prime radicalC22×D4×D47C22
hypercenter#2694D47
hypocenterC47#36711
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#15689753C2semidirect
3. #20251676C2semidirect
4. #20251674C2semidirect
5. #20249915C2semidirect
6. #20249913C2semidirect
7. #20249910C2semidirect
8. #20249908C2semidirect
9. #20249903C2semidirect
10. #20249902C2semidirect
11. #20249901C2semidirect
12. #20249676C2semidirect
13. #20249673C2semidirect
14. #20249672C2semidirect
15. #20249671C2semidirect
16. #20249670C2semidirect
17. #20249669C2semidirect
18. #20249667C2semidirect
19. #20249666C2semidirect
20. #20249198C2semidirect
21. #20249194C2semidirect
22. #20248766C2semidirect
23. #20248762C2semidirect
24. #20247663C2semidirect
25. #20247660C2semidirect
26. #20247660C2semidirect
27. #20247657C2semidirect
30. #20245987C2semidirect
31. C47×#2694C2semidirect
35. C2×#13094024C22semidirect
36. C2×#13094023C22semidirect
37. C2×#13094023C22semidirect
38. C2×#13094023C22semidirect
39. C2×#13094015C22semidirect
40. C2×#13094014C22semidirect
41. C2×#13094014C22semidirect
56. C2×#13094004C22semidirect
57. C2×#13094003C22semidirect
60. C2×#13094002C22semidirect
61. C2×#13094001C22semidirect
69. #15689060C22semidirect
70. #15689059C22semidirect
71. #15689059C22semidirect
72. #15689059C22semidirect
73. #15689059C22semidirect
74. #15689058C22semidirect
75. #15689058C22semidirect
76. #15689058C22semidirect
77. #15689058C22semidirect
78. #15689058C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689054C22semidirect
82. #15689052C22semidirect
83. #15689052C22semidirect
84. #15689051C22semidirect
85. #15689051C22semidirect
86. #15689050C22semidirect
87. #15689049C22semidirect
88. #15689048C22semidirect
89. #15689046C22semidirect
90. #15689046C22semidirect
91. #15689046C22semidirect
92. #15689045C22semidirect
93. #15689045C22semidirect
94. #15689045C22semidirect
95. #15689045C22semidirect
96. #15689044C22semidirect
97. #15689044C22semidirect
98. #15689043C22semidirect
99. #15689043C22semidirect
107. #15689036C22semidirect
108. #15689036C22semidirect
109. #15689035C22semidirect
110. #15689035C22semidirect
114. #15689022C22semidirect
115. #15689022C22semidirect
116. #15689021C22semidirect
117. #15689020C22semidirect
118. #15689020C22semidirect
119. #15689018C22semidirect
120. #15689018C22semidirect
121. #15689017C22semidirect
122. #15689017C22semidirect
123. #15689016C22semidirect
124. #15689016C22semidirect
125. #15689015C22semidirect
126. #15689015C22semidirect
127. #15689014C22semidirect
128. #15689014C22semidirect
129. #15689013C22semidirect
130. #15689013C22semidirect
131. #15689012C22semidirect
132. #15689012C22semidirect
133. #15689011C22semidirect
134. #15689011C22semidirect
135. #15689010C22semidirect
136. #15689009C22semidirect
137. #15689008C22semidirect
138. #15689007C22semidirect
139. #15689006C22semidirect
140. #15689005C22semidirect
141. #15689004C22semidirect
142. #15688998C22semidirect
143. #15688998C22semidirect
148. #15688997C22semidirect
149. #15688997C22semidirect
150. #15688997C22semidirect
151. #15688996C22semidirect
156. #15688994C22semidirect
160. #15688982C22semidirect
161. #15688981C22semidirect
163. #15688980C22semidirect
174. C2×#125×C47C22semidirect
176. C47×#399C22semidirect
177. C47×#399C22semidirect
178. C47×#398C22semidirect
179. C47×#397C22semidirect
180. C47×#396C22semidirect
183. C47×#389C22semidirect
184. C47×#388C22semidirect
185. C47×#388C22semidirect
186. C47×#387C22semidirect
187. C47×#385C22semidirect
188. C47×#380C22semidirect
814. #2694D47semidirect
856. C2×#125C2×D47semidirect
895. #399C2×D47semidirect
896. #399C2×D47semidirect
900. #398C2×D47semidirect
908. #397C2×D47semidirect
916. #396C2×D47semidirect
944. #389C2×D47semidirect
959. #388C2×D47semidirect
960. #388C2×D47semidirect
968. #387C2×D47semidirect
984. #385C2×D47semidirect
992. #380C2×D47semidirect
1003. C47#36711semidirect

Maximal subgroups

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

subgroupindex
C2×#156897532
C2×#123×D472
#202516762
#202516742
#202499152
#202499132
#202499102
#202499082
#202499032
#202499022
#202499012
#202496762
#202496732
#202496722
#202496712
#202496702
#202496692
#202496672
#202496662
#202491982
#202491942
#202487662
#202487622
#202476632
#202476602
#202476572
#202470382
#202470342
#202459872
C47×#26942
#3671147