Finite Group Databasebeta

← #26388867

Subgroups — #26388867

Order 12032.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689748C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic
3#20251729C211yesmaximal, characteristic, complemented
4#20251723C211yesmaximal, characteristic, complemented
5#20251676C211yesmaximal, characteristic, complemented
6#20251674C211yesmaximal, characteristic, complemented
7#20249206C211yesmaximal, characteristic, complemented
8#20249202C211yesmaximal, characteristic, complemented
9#20249198C211yesmaximal, characteristic, complemented
10#20249192C211yesmaximal, characteristic, complemented
11#20247219C211yesmaximal, characteristic, complemented
12#20247216C211yesmaximal, characteristic, complemented
13#20247215C211yesmaximal, characteristic, complemented
14#20247212C211yesmaximal, characteristic, complemented
15#20247209C211yesmaximal, characteristic, complemented
16#20247208C211yesmaximal, characteristic, complemented
17#20247205C211yesmaximal, characteristic, complemented
18#20247203C211yesmaximal, characteristic, complemented
19#20247202C211yesmaximal, characteristic, complemented
20#20247199C211yesmaximal, characteristic, complemented
21#20247198C211yesmaximal, characteristic, complemented
22#20247196C211yesmaximal, characteristic, complemented
23#20247195C211yesmaximal, characteristic, complemented
24#20247192C211yesmaximal, characteristic, complemented
25#20247191C211yesmaximal, characteristic, complemented
26#20245999C211yesmaximal, characteristic, complemented
27#20245962C211yesmaximal, characteristic
28#20245962C211yesmaximal, characteristic
29C2×#15688997C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2450C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689748—28no—
36C2×#13094004C2211yescharacteristic
37C2×#13094004C2211yescharacteristic, complemented
38C2×#13094004C2211yescharacteristic, complemented
39C2×#13094003C2211yescharacteristic, complemented
40C2×#13094003C2211yescharacteristic, complemented
41C2×#13094002C2211yescharacteristic
42C2×#13094002C2211yescharacteristic
43C2×#13094002C2211yescharacteristic, complemented
44C2×#13094002C2211yescharacteristic, complemented
45C2×#13094002C2211yescharacteristic, complemented
46C2×#13094001C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13094001C2211yescharacteristic, complemented
49C2×#13094000C2211yescharacteristic
50C2×#13094000C2211yescharacteristic, complemented
51C2×C4×D188C2211yescharacteristic
52C2×D4×Dic47C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C4×D4×D47—28no—
59C22×C4⋊Dic47C2211yescharacteristic, complemented
60C22×Dic47⋊C4C2211yescharacteristic, complemented
61C2×C4⋊C4×D47C2211yescharacteristic
62C2×C4⋊C4×D47C2211yescharacteristic, complemented
63C2×C4⋊C4×D47C2211yescharacteristic, complemented
64C22×(C2×D47)⋊C4C2211yescharacteristic
65C22×(C2×D47)⋊C4C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689061C2211yescharacteristic, complemented
74#15689060C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic, complemented
77#15689058C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689056C2211yescharacteristic, complemented
82#15689055C2211yescharacteristic, complemented
83#15689055C2211yescharacteristic, complemented
84#15689053C2211yescharacteristic, complemented
85#15689047C2211yescharacteristic, complemented
86#15689047C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689046C2211yescharacteristic, complemented
89#15689046C2211yescharacteristic, complemented
90#15689045C2211yescharacteristic, complemented
91#15689045C2211yescharacteristic, complemented
92#15689044C2211yescharacteristic, complemented
93#15689044C2211yescharacteristic, complemented
94#15689043C2211yescharacteristic, complemented
95#15689043C2211yescharacteristic, complemented
96#15689036C2211yescharacteristic, complemented
97#15689035C2211yescharacteristic, complemented
98#15689034C2211yescharacteristic, complemented
99#15689030C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689027C2211yescharacteristic, complemented
102#15689022C2211yescharacteristic, complemented
103#15689021C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689008C2211yescharacteristic, complemented
107#15689007C2211yescharacteristic, complemented
108#15689006C2211yescharacteristic, complemented
109#15689006C2211yescharacteristic, complemented
110#15689005C2211yescharacteristic, complemented
111#15689005C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689000C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688998C2211yescharacteristic, complemented
128#15688998C2211yescharacteristic, complemented
129#15688998C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic, complemented
131#15688997C2211yescharacteristic
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic, complemented
138#15688997C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic
160#15688982C2211yescharacteristic
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic
166#15688980C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C2×D4×D47—24no—
198C2×D4×D47—24no—
199C2×D4×D47Q818yescomplemented
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223#13094004—24no—
224#13094004—24no—
225#13094004—42no—
226#13094003—24no—
227#13094003—42no—
228#13094002—24no—
229#13094002—24no—
230#13094002—24no—
231#13094002—24no—
232#13094002—42no—
233#13094001—24no—
234#13094001—24no—
235#13094001—42no—
236#13094000—24no—
237#13094000—24no—
238C4×D188—24no—
239D4×Dic47—24no—
240#13093986—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245C2×C4⋊Dic47—42no—
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×Dic47⋊C4—42no—
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
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C4⋊C4×D47—24no—
280C4⋊C4×D47—42no—
281C4⋊C4×D47—42no—
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×(C2×D47)⋊C4—24no—
291C2×(C2×D47)⋊C4—24no—
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C22⋊C4×D47—24no—
317C22⋊C4×D47—24no—
318C22⋊C4×D47—24no—
319C22⋊C4×D47D418yes—
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C42×D47—24no—
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
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×Q8×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C22⋊Q8×C47—24no—
359C4×D4×C47—24no—
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊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×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
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C23×D47—22no—
392C23×D47—22no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2×D414yes—
402C23×D47C2×Q814yes—
403C23×D47C2×Q814yes—
404C23×D47#4114yes—
405C23×D47C2411yescharacteristic
406C23×D47C2411yescharacteristic
407C23×D47C2411yescharacteristic
408C2×Q8×C47—22no—
409C2×Q8×C47—41no—
410C2×Q8×C47—41no—
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47C2×Q814yes—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47C2×Q814yes—
444C2×C22⋊D47C2×Q814yes—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470D4×D47—232no—
471C2×D188—22no—
472C2×D188—22no—
473C2×D188C2×Q814yes—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—416no—
493C2×C4×D47—416no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47—41no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47C2×D414yes—
513C2×C4×D47C2×D414yes—
514C2×C4×D47C2×Q814yes—
515C2×Dic94—22no—
516C2×Dic94—22no—
517C2×Dic94—22no—
518C2×Dic94—41no—
519C2×Dic94—41no—
520C2×Dic94—41no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C2×Dic94—41no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—41no—
530C4⋊C4×C47—41no—
531C4⋊C4×C47—41no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47C2×D414yes—
540C42×C47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47C2×D414yes—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4C2×D414yes—
572(C2×D47)⋊C4C2×D414yes—
573C4⋊Dic47—22no—
574C4⋊Dic47—22no—
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—41no—
581C4⋊Dic47—41no—
582C4⋊Dic47—41no—
583C4⋊Dic47—41no—
584C4⋊Dic47—41no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47C22×D412yes—
619C23×C47C22×Q812yes—
620C23×C47C22×Q812yes—
621C23×C47C2×#4112yes—
622C23×C47C2511yescharacteristic
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—28no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47—44no—
645C22×D47—44no—
646C22×D47—44no—
647C22×D47—44no—
648C22×D47—44no—
649C22×D47—44no—
650C22×D47C22⋊Q8116yescomplemented
651C22×D47C22×D412yes—
652C22×D47C22×D412yes—
653C22×D47C22×Q812yes—
654C22×D47C22×Q812yes—
655C22×D47C22×Q812yes—
656C22×D47C2×#4112yes—
657C22×D47C2×#4112yes—
658Q8×C47—82no—
659D4×C47—28no—
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—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—44no—
696C2×C4×C47—44no—
697C2×C4×C47—44no—
698C2×C4×C47—82no—
699C2×C4×C47C22×D412yes—
700C2×C4×C47C22×D412yes—
701C2×C4×C47C22×Q812yes—
702C2×C4×C47H(5,𝔽2)12yes—
703C22⋊D47—28no—
704C22⋊D47—28no—
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—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—44no—
741C2×Dic47—44no—
742C2×Dic47—44no—
743C2×Dic47—82no—
744C2×Dic47C22×D412yes—
745C2×Dic47C22×D412yes—
746C2×Dic47C22×Q812yes—
747C2×Dic47H(5,𝔽2)12yes—
748D188—28no—
749C4×D47—28no—
750C4×D47—28no—
751C4×D47—44no—
752C4×D47—44no—
753C4×D47—44no—
754C4×D47—44no—
755C4×D47—44no—
756C4×D47—44no—
757C4×D47—44no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—82no—
761C4×D47—82no—
762Dic94—82no—
763Dic94—82no—
764Dic94—82no—
765#34985—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47C2×C22⋊Q814yes—
780C22×C47C23×D411yescharacteristic
781C22×C47C23×Q811yescharacteristic
782C22×C47C22×#4111yescharacteristic
783C22×C47C2×H(5,𝔽2)11yescharacteristic
784C22×C47C2×H(5,𝔽2)11yescharacteristic
785C22×C47#58511yescharacteristic
786C22×C47#58511yescharacteristic
787C2×D47—22no—
788C2×D47—22no—
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—22no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—22no—
798C2×D47—22no—
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—416no—
803C2×D47—416no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47C2×C22⋊Q814yes—
809C2×D47C2×C22⋊Q814yes—
810C4×C47—22no—
811C4×C47—22no—
812C4×C47—22no—
813C4×C47—22no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818C4×C47—41no—
819C4×C47—41no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823Dic47—22no—
824Dic47—22no—
825Dic47—22no—
826Dic47—22no—
827Dic47—41no—
828Dic47—41no—
829Dic47—41no—
830Dic47—41no—
831Dic47—41no—
832Dic47—41no—
833Dic47—41no—
834Dic47—41no—
835Dic47—41no—
836C2×#543—471no—
837C22×C4×D4—471no—
838#2855—471no—
839#2855—471no—
840#2848—471no—
841#2848—471no—
842#2627—471no—
843#2627—471no—
844#2626—471no—
845#2626—471no—
846#2450—471no—
847#2450—471no—
848#2450—471no—
849#2450—471no—
850#2450—471no—
851#2450—471no—
852#2450—471no—
853#2450D4711yescharacteristic, complemented
854#2449—471no—
855#2449—471no—
856#2449—471no—
857#2449—471no—
858#2449—471no—
859#2449—471no—
860#2449—471no—
861#2449—471no—
862#2315—471no—
863#2308—471no—
864#2308—471no—
865C2×#385—471no—
866C2×#385—471no—
867C2×C47—24no—
868C2×C47—42no—
869C2×C47C22×C22⋊Q811yescharacteristic
870C2×C47#345911yescharacteristic
871C2×C47#345911yescharacteristic
872C2×C47#348411yescharacteristic
873C2×C47#348511yescharacteristic
874C2×C47#350111yescharacteristic
875C2×C47#350111yescharacteristic
876D47—24no—
877D47—24no—
878D47—42no—
879C23×D4—471no—
880C24×C4—471no—
881C24×C4—471no—
882#543—948no—
883C2×C22⋊Q8—471no—
884C2×C22⋊Q8—471no—
885C2×C22⋊Q8—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8—471no—
890C2×C22⋊Q8—471no—
891C2×C22⋊Q8—471no—
892C2×C22⋊Q8—471no—
893C2×C22⋊Q8—471no—
894C2×C22⋊Q8—471no—
895C2×C22⋊Q8—471no—
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8—471no—
898C2×C22⋊Q8C2×D4711yescharacteristic, complemented
899C2×C4×D4—471no—
900C2×C4×D4—471no—
901C2×C4×D4—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×C4×D4—471no—
905C2×C4×D4—471no—
906C2×C4×D4—948no—
907C2×C4×D4C2×D4711yescharacteristic
908C22×C4⋊C4—471no—
909C22×C4⋊C4—471no—
910C22×C4⋊C4—471no—
911C22×C4⋊C4—471no—
912C22×C4⋊C4—471no—
913C22×C22⋊C4—471no—
914C22×C22⋊C4—471no—
915C22×C22⋊C4—471no—
916C22×C22⋊C4—471no—
917C22×C22⋊C4—471no—
918C22×C22⋊C4—471no—
919C22×C42—471no—
920#400—471no—
921#400—471no—
922#400—471no—
923#400C2×D4711yescharacteristic, complemented
924#399—471no—
925#399—471no—
926#399—471no—
927#399—471no—
928#398—471no—
929#398—471no—
930#398—471no—
931#398—471no—
932#398—471no—
933#398—471no—
934#398—471no—
935#398C2×D4711yescharacteristic, complemented
936#396—471no—
937#396—471no—
938#396—471no—
939#396—471no—
940#396—471no—
941#396—471no—
942#396—471no—
943#396C2×D4711yescharacteristic, complemented
944#395—471no—
945#395—471no—
946#395—471no—
947#395—471no—
948#393—471no—
949#393—471no—
950#393—471no—
951#393C2×D4711yescharacteristic, complemented
952#391—471no—
953#391—471no—
954#391—471no—
955#391C2×D4711yescharacteristic, complemented
956#389—471no—
957#389—471no—
958#389—471no—
959#389—471no—
960#387—471no—
961#387—471no—
962#387—471no—
963#387—471no—
964#387—471no—
965#387—471no—
966#387—471no—
967#387C2×D4711yescharacteristic, complemented
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386—471no—
974#386—471no—
975#386—471no—
976#386—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386C2×D4711yescharacteristic
983#386C2×D4711yescharacteristic
984#385—471no—
985#385—471no—
986#385—471no—
987#385—471no—
988#385—471no—
989#385—471no—
990#385—471no—
991#385—471no—
992#385—471no—
993#385—471no—
994#385—471no—
995#385—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385C2×D4711yescharacteristic, complemented
1014#385C2×D4711yescharacteristic, complemented
1015#385C2×D4711yescharacteristic, complemented
1016#381—471no—
1017#381—471no—
1018#381—471no—
1019#381—471no—
1020#380—471no—
1021#380—471no—
1022#380—471no—
1023#380—471no—
1024#380—471no—
1025#380—471no—
1026#380—471no—
1027#380C2×D4711yescharacteristic, complemented
1028#379—471no—
1029#379—471no—
1030#379—471no—
1031#379—471no—
1032C2×#95—471no—
1033C2×#95—471no—
1034C2×#95—471no—
1035C2×#95C2×D4711yescharacteristic, complemented
1036C47#3498511yescharacteristic, complemented, Sylow
1037C25—471no—
1038C25—471no—
1039C22×Q8—471no—
1040C22×Q8—471no—
1041C22×Q8—471no—
1042C22×Q8C22×D4711yescharacteristic
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—478no—
1046C22×D4—471no—
1047C22×D4—944no—
1048C22×D4—944no—
1049C22×D4C22×D4711yescharacteristic
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—471no—
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—944no—
1068C23×C4—944no—
1069C23×C4—1882no—
1070C23×C4—1882no—
1071C23×C4—1882no—
1072C23×C4—1882no—
1073C23×C4C22×D4711yescharacteristic
1074C23×C4C22×D4711yescharacteristic
1075C23×C4C22×D4711yescharacteristic
1076C23×C4C22×D4711yescharacteristic
1077C22⋊Q8—24no—
1078C22⋊Q8—944no—
1079C22⋊Q8—944no—
1080C22⋊Q8—944no—
1081C22⋊Q8—944no—
1082C22⋊Q8—944no—
1083C22⋊Q8—944no—
1084C22⋊Q8—944no—
1085C22⋊Q8—944no—
1086C22⋊Q8—944no—
1087C22⋊Q8—944no—
1088C22⋊Q8—944no—
1089C22⋊Q8—1882no—
1090C22⋊Q8—1882no—
1091C22⋊Q8—1882no—
1092C22⋊Q8—1882no—
1093C4×D4—24no—
1094C4×D4—944no—
1095C4×D4—944no—
1096C4×D4—944no—
1097C4×D4—944no—
1098C4×D4—944no—
1099C4×D4—944no—
1100C4×D4—944no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—944no—
1134C2×C4⋊C4—1882no—
1135C2×C4⋊C4—1882no—
1136C2×C4⋊C4—1882no—
1137C2×C4⋊C4—1882no—
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C4⋊C4C22×D4711yescharacteristic
1142C2×C4⋊C4C22×D4711yescharacteristic
1143C2×C4⋊C4C22×D4711yescharacteristic
1144C2×C4⋊C4C22×D4711yescharacteristic
1145C2×C4⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—478no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—944no—
1180C2×C22⋊C4—944no—
1181C2×C22⋊C4—944no—
1182C2×C22⋊C4—944no—
1183C2×C22⋊C4—944no—
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C22⋊C4C22×D4711yescharacteristic
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—944no—
1196C2×C42C22×D4711yescharacteristic
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95C22×D4711yescharacteristic
1226#95C22×D4711yescharacteristic
1227#95C22×D4711yescharacteristic
1228#95C22×D4711yescharacteristic
1229#95C22×D4711yescharacteristic
1230#95C22×D4711yescharacteristic
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237C24—471no—
1238C24—471no—
1239C24—474no—
1240C24—474no—
1241C24—474no—
1242C24—471no—
1243C24—474no—
1244C24—942no—
1245C24—942no—
1246C24—1881no—
1247C24—1881no—
1248C24—1881no—
1249C24—1881no—
1250C24—1881no—
1251C24—1881no—
1252C24—1881no—
1253C24—1881no—
1254C24C23×D4711yescharacteristic
1255C24C23×D4711yescharacteristic
1256C2×Q8—22no—
1257C2×Q8—41no—
1258C2×Q8—41no—
1259C2×Q8—942no—
1260C2×Q8—942no—
1261C2×Q8—942no—
1262C2×Q8—1881no—
1263C2×Q8—1881no—
1264C2×Q8—1881no—
1265C2×Q8—1881no—
1266C2×Q8—1881no—
1267C2×Q8—1881no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—474no—
1271C2×D4—474no—
1272C2×D4—474no—
1273C2×D4—942no—
1274C2×D4—942no—
1275C2×D4—9432no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4Q8×D4714yes—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—474no—
1298C22×C4—474no—
1299C22×C4—474no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
1306C22×C4—471no—
1307C22×C4—471no—
1308C22×C4—471no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
1318C22×C4—942no—
1319C22×C4—942no—
1320C22×C4—942no—
1321C22×C4—942no—
1322C22×C4—942no—
1323C22×C4—942no—
1324C22×C4—942no—
1325C22×C4—942no—
1326C22×C4—942no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—1881no—
1334C22×C4—1881no—
1335C22×C4—1881no—
1336C22×C4—1881no—
1337C22×C4—1881no—
1338C22×C4—1881no—
1339C22×C4—1881no—
1340C22×C4—1881no—
1341C22×C4—1881no—
1342C22×C4—1881no—
1343C22×C4—1881no—
1344C22×C4—1881no—
1345C22×C4—1881no—
1346C22×C4—1881no—
1347C22×C4—1881no—
1348C22×C4—1881no—
1349C22×C4—1881no—
1350C22×C4—1881no—
1351C22×C4—18816no—
1352C22×C4—18816no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4C23×D4711yescharacteristic
1360C22×C4C23×D4711yescharacteristic
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4711yescharacteristic
1364C22×C4C23×D4711yescharacteristic
1365C22×C4C23×D4711yescharacteristic
1366C22×C4C23×D4711yescharacteristic
1367C22×C4C23×D4711yescharacteristic
1368C22×C4C23×D4711yescharacteristic
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—942no—
1381C4⋊C4—942no—
1382C4⋊C4—942no—
1383C4⋊C4—942no—
1384C4⋊C4—942no—
1385C4⋊C4—942no—
1386C4⋊C4—942no—
1387C4⋊C4—942no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—1881no—
1400C4⋊C4—1881no—
1401C4⋊C4—1881no—
1402C4⋊C4—1881no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4—1881no—
1406C4⋊C4—1881no—
1407C4⋊C4—1881no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—474no—
1420C22⋊C4—474no—
1421C22⋊C4—474no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—1881no—
1440C22⋊C4—1881no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4D4×D4714yes—
1452C42—22no—
1453C42—942no—
1454C42—942no—
1455C42—942no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—472no—
1467C23—472no—
1468C23—472no—
1469C23—472no—
1470C23—472no—
1471C23—472no—
1472C23—4716no—
1473C23—472no—
1474C23—948no—
1475C23—941no—
1476C23—941no—
1477C23—941no—
1478C23—941no—
1479C23—941no—
1480C23—941no—
1481C23—941no—
1482C23—941no—
1483C23—941no—
1484C23—941no—
1485C23—941no—
1486C23—941no—
1487C23—941no—
1488C23—941no—
1489C23—1884no—
1490C23—1884no—
1491C23—1884no—
1492C23—1884no—
1493C23—1884no—
1494C23—1884no—
1495C23—1884no—
1496C23—1884no—
1497C23—1884no—
1498C23—1884no—
1499C23—1884no—
1500C23—1884no—
1501C23C2×D4×D4712yes—
1502C23C2×Q8×D4712yes—
1503C23C2×Q8×D4712yes—
1504C23#41×D4712yes—
1505C23C24×D4711yescharacteristic
1506Q8—82no—
1507Q8—3762no—
1508Q8—3762no—
1509Q8—3762no—
1510D4—28no—
1511D4—948no—
1512D4—948no—
1513D4—948no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—82no—
1553C2×C4—472no—
1554C2×C4—472no—
1555C2×C4—472no—
1556C2×C4—472no—
1557C2×C4—948no—
1558C2×C4—948no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—3762no—
1595C2×C4—3762no—
1596C2×C4—3762no—
1597C2×C4—1884no—
1598C2×C4—1884no—
1599C2×C4—1884no—
1600C2×C4—1884no—
1601C2×C4—1884no—
1602C2×C4—1884no—
1603C2×C4—1884no—
1604C2×C4—1884no—
1605C2×C4—1884no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4C2×D4×D4712yes—
1610C2×C4C2×D4×D4712yes—
1611C2×C4C2×Q8×D4712yes—
1612C2×C4#1309407012yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—474no—
1627C22—474no—
1628C22—942no—
1629C22—942no—
1630C22—942no—
1631C22—942no—
1632C22—942no—
1633C22—942no—
1634C22—942no—
1635C22—942no—
1636C22—942no—
1637C22—942no—
1638C22—942no—
1639C22—942no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—18816no—
1644C22—18816no—
1645C22—1881no—
1646C22—1881no—
1647C22—1881no—
1648C22—1881no—
1649C22C22⋊Q8×D4714yes—
1650C22C22×D4×D4711yescharacteristic
1651C22C22×Q8×D4711yescharacteristic
1652C22C2×#41×D4711yescharacteristic
1653C22H(5,𝔽2)×D4711yescharacteristic
1654C22C2×#1309407011yescharacteristic
1655C22#1568995811yescharacteristic
1656C22#1568995911yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—942no—
1671C4—942no—
1672C4—942no—
1673C4—942no—
1674C4—1881no—
1675C4—1881no—
1676C4—1881no—
1677C4—1881no—
1678C4—1881no—
1679C4—1881no—
1680C4—1881no—
1681C4—1881no—
1682C4—1881no—
1683C2—24no—
1684C2—42no—
1685C2—944no—
1686C2—944no—
1687C2—1882no—
1688C2C2×C22⋊Q8×D4711yescharacteristic
1689C2#2025679811yescharacteristic
1690C2#2025679911yescharacteristic
1691C2#2025701811yescharacteristic
1692C2#2025702511yescharacteristic
1693C2#2025718511yescharacteristic
1694C2#2025718711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2450C2
prime radicalC22×D4×D47C22
hypercenter#2450D47
hypocenterC47#34985
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#15689748C2semidirect
3. #20251729C2semidirect
4. #20251723C2semidirect
5. #20251676C2semidirect
6. #20251674C2semidirect
7. #20249206C2semidirect
8. #20249202C2semidirect
9. #20249198C2semidirect
10. #20249192C2semidirect
11. #20247219C2semidirect
12. #20247216C2semidirect
13. #20247215C2semidirect
14. #20247212C2semidirect
15. #20247209C2semidirect
16. #20247208C2semidirect
17. #20247205C2semidirect
18. #20247203C2semidirect
19. #20247202C2semidirect
20. #20247199C2semidirect
21. #20247198C2semidirect
22. #20247196C2semidirect
23. #20247195C2semidirect
24. #20247192C2semidirect
25. #20247191C2semidirect
26. #20245999C2semidirect
29. C2×#15688997C2semidirect
30. #385×D47C2semidirect
31. C47×#2450C2semidirect
37. C2×#13094004C22semidirect
38. C2×#13094004C22semidirect
39. C2×#13094003C22semidirect
40. C2×#13094003C22semidirect
43. C2×#13094002C22semidirect
44. C2×#13094002C22semidirect
45. C2×#13094002C22semidirect
46. C2×#13094001C22semidirect
47. C2×#13094001C22semidirect
48. C2×#13094001C22semidirect
50. C2×#13094000C22semidirect
59. C22×C4⋊Dic47C22semidirect
60. C22×Dic47⋊C4C22semidirect
62. C2×C4⋊C4×D47C22semidirect
63. C2×C4⋊C4×D47C22semidirect
71. #15689065C22semidirect
72. #15689064C22semidirect
73. #15689061C22semidirect
74. #15689060C22semidirect
75. #15689059C22semidirect
76. #15689059C22semidirect
77. #15689058C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689056C22semidirect
82. #15689055C22semidirect
83. #15689055C22semidirect
84. #15689053C22semidirect
85. #15689047C22semidirect
86. #15689047C22semidirect
87. #15689046C22semidirect
88. #15689046C22semidirect
89. #15689046C22semidirect
90. #15689045C22semidirect
91. #15689045C22semidirect
92. #15689044C22semidirect
93. #15689044C22semidirect
94. #15689043C22semidirect
95. #15689043C22semidirect
96. #15689036C22semidirect
97. #15689035C22semidirect
98. #15689034C22semidirect
99. #15689030C22semidirect
100. #15689027C22semidirect
101. #15689027C22semidirect
102. #15689022C22semidirect
103. #15689021C22semidirect
104. #15689020C22semidirect
105. #15689018C22semidirect
106. #15689008C22semidirect
107. #15689007C22semidirect
108. #15689006C22semidirect
109. #15689006C22semidirect
110. #15689005C22semidirect
111. #15689005C22semidirect
112. #15689004C22semidirect
127. #15688998C22semidirect
128. #15688998C22semidirect
129. #15688998C22semidirect
130. #15688998C22semidirect
137. #15688997C22semidirect
138. #15688997C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
145. #15688997C22semidirect
146. #15688996C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
162. #15688982C22semidirect
163. #15688981C22semidirect
166. #15688980C22semidirect
171. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#396C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#387C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#385C22semidirect
187. C47×#380C22semidirect
188. C2×#95×C47C22semidirect
199. C2×D4×D47Q8semidirect
650. C22×D47C22⋊Q8semidirect
853. #2450D47semidirect
898. C2×C22⋊Q8C2×D47semidirect
923. #400C2×D47semidirect
935. #398C2×D47semidirect
943. #396C2×D47semidirect
951. #393C2×D47semidirect
955. #391C2×D47semidirect
967. #387C2×D47semidirect
1013. #385C2×D47semidirect
1014. #385C2×D47semidirect
1015. #385C2×D47semidirect
1027. #380C2×D47semidirect
1035. C2×#95C2×D47semidirect
1036. C47#34985semidirect

Maximal subgroups

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

subgroupindex
C2×#156897482
C2×C4×D4×D472
#202517292
#202517232
#202516762
#202516742
#202492062
#202492022
#202491982
#202491922
#202472192
#202472162
#202472152
#202472122
#202472092
#202472082
#202472052
#202472032
#202472022
#202471992
#202471982
#202471962
#202471952
#202471922
#202471912
#202459992
#202459622
C2×#156889972
#385×D472
C47×#24502
#3498547