Finite Group Databasebeta

← #26386469

Subgroups — #26386469

Order 12032.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689656C211yesmaximal, characteristic, complemented
2C2×#15689633C211yesmaximal, characteristic, complemented
3#20248532C211yesmaximal, characteristic, complemented
4#20248504C211yesmaximal, characteristic, complemented
5#20248481C211yesmaximal, characteristic, complemented
6#20248478C211yesmaximal, characteristic, complemented
7#20248461C211yesmaximal, characteristic, complemented
8#20248454C211yesmaximal, characteristic, complemented
9#20248431C211yesmaximal, characteristic, complemented
10#20248398C211yesmaximal, characteristic, complemented
11#20248347C211yesmaximal, characteristic, complemented
12#20248317C211yesmaximal, characteristic, complemented
13#20248276C211yesmaximal, characteristic, complemented
14#20247715C211yesmaximal, characteristic, complemented
15#20247509C211yesmaximal, characteristic, complemented
16#20246940C211yesmaximal, characteristic, complemented
17#20246925C211yesmaximal, characteristic, complemented
18#20246661C211yesmaximal, characteristic, complemented
19#20246644C211yesmaximal, characteristic, complemented
20#20246627C211yesmaximal, characteristic, complemented
21#20246602C211yesmaximal, characteristic, complemented
22#20245935C211yesmaximal, characteristic, complemented
23#20245915C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26#20245889C211yesmaximal, characteristic, complemented
27#20245873C211yesmaximal, characteristic, complemented
28#20245846C211yesmaximal, characteristic, complemented
29C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2559C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689656—28no—
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094011C2211yescharacteristic
38C2×#13094010C2211yescharacteristic, complemented
39#15689633—28no—
40C2×#13094009C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094004C2211yescharacteristic
46C2×#13094003C2211yescharacteristic
47C2×#13094002C2211yescharacteristic
48C2×#13093997C2211yescharacteristic
49C2×#13093997C2211yescharacteristic
50C2×#13093996C2211yescharacteristic
51C2×#13093995C2211yescharacteristic
52C2×#13093994C2211yescharacteristic
53C2×#13093992C2211yescharacteristic
54C2×#13093992C2211yescharacteristic
55C2×#13093989C2211yescharacteristic, complemented
56C2×D4×Dic47C2211yescharacteristic
57C2×D4×Dic47C2211yescharacteristic
58C2×#13093986C2211yescharacteristic
59C2×#13093986C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
67C2×#13093982C2211yescharacteristic
68C2×#13093982C2211yescharacteristic, complemented
69C2×#13093980C2211yescharacteristic, complemented
70C2×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C22×C4×Dic47C2211yescharacteristic, complemented
73C2×C42×D47C2211yescharacteristic
74C2×C42×D47C2211yescharacteristic
75#15689065C2211yescharacteristic, complemented
76#15689059C2211yescharacteristic
77#15689058C2211yescharacteristic
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689053C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic
83#15689051C2211yescharacteristic, complemented
84#15689050C2211yescharacteristic, complemented
85#15689048C2211yescharacteristic, complemented
86#15689047C2211yescharacteristic
87#15689047C2211yescharacteristic
88#15689046C2211yescharacteristic
89#15689046C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689043C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic, complemented
96#15689037C2211yescharacteristic
97#15689036C2211yescharacteristic
98#15689036C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic, complemented
103#15689029C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689025C2211yescharacteristic
107#15689024C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic, complemented
112#15689022C2211yescharacteristic, complemented
113#15689020C2211yescharacteristic, complemented
114#15689018C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic
116#15689015C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic
120#15689013C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic
122#15689011C2211yescharacteristic
123#15689011C2211yescharacteristic
124#15689011C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic, complemented
127#15689008C2211yescharacteristic, complemented
128#15689007C2211yescharacteristic, complemented
129#15689003C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688988C2211yescharacteristic, complemented
143#15688985C2211yescharacteristic
144#15688982C2211yescharacteristic
145#15688981C2211yescharacteristic, complemented
146#15688978C2211yescharacteristic
147C4⋊C4×Dic47C2211yescharacteristic, complemented
148C4×Dic47⋊C4C2211yescharacteristic, complemented
149#15688974C2211yescharacteristic, complemented
150#15688974C2211yescharacteristic, complemented
151#15688974C2211yescharacteristic, complemented
152#15688974C2211yescharacteristic, complemented
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic, complemented
159C22⋊C4×Dic47C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#126×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic, complemented
180C47×#390C2211yescharacteristic
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625352—24no—
191C2×#10625352—24no—
192C2×#10625352—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C22×C4×D47—24no—
209C22×C4×D47—24no—
210C22×C4×D47—42no—
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
220#13094018—24no—
221#13094014—24no—
222#13094011—24no—
223#13094010—24no—
224#13094009—24no—
225#13094006—24no—
226#13094006—24no—
227#13094006—24no—
228#13094006—24no—
229#13094004—24no—
230#13094003—24no—
231#13094002—24no—
232#13093997—24no—
233#13093997—24no—
234#13093996—24no—
235#13093995—24no—
236#13093994—24no—
237#13093992—24no—
238#13093992—24no—
239#13093989—24no—
240D4×Dic47—24no—
241D4×Dic47—24no—
242#13093986—24no—
243#13093986—24no—
244C4×C22⋊D47—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248(C22⋊D47)⋊C4—42no—
249(C22⋊D47)⋊C4—42no—
250(C22⋊D47)⋊C4D418yescomplemented
251#13093982—24no—
252#13093982—24no—
253#13093980—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
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×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×(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
309C22⋊C4×D47—24no—
310C22⋊C4×D47—24no—
311C2×C4×Dic47—42no—
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C42×D47—24no—
329C42×D47—42no—
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#126×C47—24no—
360#121×C47—24no—
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×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×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47C2×D414yes—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—41no—
463C22×Dic47C2×D414yes—
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477#10625352—416no—
478C2×D188—22no—
479C2×D188—22no—
480C2×D188—22no—
481C2×D188—22no—
482C2×D188—22no—
483C2×D188—41no—
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—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—416no—
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×D47C2×D414yes—
510C2×C4×D47#4114yes—
511C2×C4×D47#4114yescomplemented
512C2×Dic94—22no—
513C2×Dic94—22no—
514C2×Dic94—22no—
515C2×Dic94—22no—
516C2×Dic94—41no—
517C2×Dic94—41no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—22no—
522C4⋊C4×C47—22no—
523C4⋊C4×C47—41no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C22⋊C4×C47C2×D414yes—
537C42×C47—22no—
538C42×C47—41no—
539C42×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47#4114yescomplemented
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—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4C2×D414yes—
574(C2×D47)⋊C4#4114yescomplemented
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4C2×D414yes—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47C2×D414yes—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47C22×D412yes—
631C23×C47C2×#4112yes—
632C23×C47C2511yescharacteristic
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—28no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47C22×D412yes—
658C22×D47C2×#4112yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661D4×C47—44no—
662D4×C47—44no—
663D4×C47—44no—
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×C47C22×D412yes—
698C2×C4×C47C22×D412yes—
699C2×C4×C47C2×#4112yes—
700C2×C4×C47C2×#4112yes—
701C2×C4×C47C2×#4112yes—
702C22⋊D47—28no—
703C22⋊D47—44no—
704C22⋊D47—44no—
705C22⋊D47—44no—
706C22⋊D47—44no—
707C22⋊D47—44no—
708C22⋊D47—44no—
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—28no—
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×Dic47C22×D412yes—
744C2×Dic47C22×D412yes—
745C2×Dic47C22×D412yes—
746C2×Dic47C2×#4112yes—
747C2×Dic47C2×#4112yes—
748C2×Dic47C2×#4112yes—
749C2×Dic47C2×#4112yes—
750C2×Dic47C2×#4112yes—
751C2×Dic47H(5,𝔽2)12yes—
752D188—44no—
753D188—44no—
754C4×D47—28no—
755C4×D47—28no—
756C4×D47—44no—
757C4×D47—44no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763Dic94—44no—
764Dic94—44no—
765#34829—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47C23×D411yescharacteristic
788C22×C47C22×#4111yescharacteristic
789C22×C47C22×#4111yescharacteristic
790C22×C47C22×#4111yescharacteristic
791C22×C47C22×#4111yescharacteristic
792C22×C47C2×H(5,𝔽2)11yescharacteristic
793C22×C47#58511yescharacteristic
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—22no—
803C2×D47—416no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47#53214yes—
816C4×C47—22no—
817C4×C47—22no—
818C4×C47—22no—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—41no—
822C4×C47—41no—
823C4×C47—41no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828Dic47—22no—
829Dic47—22no—
830Dic47—22no—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47—41no—
835Dic47—41no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47#54614yes—
841C2×#529—471no—
842C2×#525—471no—
843#2560—471no—
844#2559D4711yescharacteristic, complemented
845#2558—471no—
846#2557—471no—
847#2556—471no—
848#2555—471no—
849#2554—471no—
850#2553—471no—
851#2549—471no—
852#2543—471no—
853#2539—471no—
854#2534—471no—
855#2488—471no—
856#2472—471no—
857#2425—471no—
858#2424—471no—
859#2396—471no—
860#2395—471no—
861#2392—471no—
862#2388—471no—
863C4×#124—471no—
864C4×#123—471no—
865C4×#121—471no—
866C4×#121—471no—
867C4×#120—471no—
868#2297—471no—
869#2293—471no—
870C42×D4—471no—
871C2×C4×C22⋊C4—471no—
872C2×C47—42no—
873C2×C47—42no—
874C2×C47—81no—
875C2×C47C2×#53211yescharacteristic
876C2×C47#344411yescharacteristic
877C2×C47#345911yescharacteristic
878C2×C47C2×#54611yescharacteristic
879C2×C47D4×#4111yescharacteristic
880C2×C47#347511yescharacteristic
881C2×C47#348111yescharacteristic
882D47—24no—
883D47—42no—
884D47—81no—
885C22×#41—471no—
886C24×C4—471no—
887#529—948no—
888C2×#126—471no—
889C2×#126C2×D4711yescharacteristic, complemented
890C2×#125—471no—
891C2×#124—471no—
892C2×#124—471no—
893#525—948no—
894C2×#123—471no—
895C2×#123—471no—
896C2×#123—471no—
897C2×#123—471no—
898C2×#123—471no—
899C2×C22⋊Q8—471no—
900C2×C22⋊Q8—471no—
901C2×C22⋊Q8—471no—
902C2×#121—471no—
903C2×#121—471no—
904C2×#121—471no—
905C2×#121—471no—
906C2×#121C2×D4711yescharacteristic
907C2×#120—471no—
908C2×#120—471no—
909C2×#120—471no—
910C2×C4×Q8—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930#400—471no—
931#400C2×D4711yescharacteristic, complemented
932#399—471no—
933#399—471no—
934#398—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397—471no—
942#396—471no—
943#396—471no—
944#396—471no—
945#396—471no—
946#395—471no—
947#395—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394C2×D4711yescharacteristic
954#394C2×D4711yescharacteristic
955#394C2×D4711yescharacteristic, complemented
956#393—471no—
957#393—471no—
958#392—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#391—471no—
963#391—471no—
964#391—471no—
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#390—471no—
970#390—471no—
971#390C2×D4711yescharacteristic
972#389—471no—
973#389—471no—
974#389—471no—
975#389C2×D4711yescharacteristic, complemented
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#388—471no—
985#388—471no—
986#388—471no—
987#388—471no—
988#388C2×D4711yescharacteristic, complemented
989#388C2×D4711yescharacteristic, complemented
990#387—471no—
991#387—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic, complemented
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385C2×D4711yescharacteristic
1008#382—471no—
1009#381—471no—
1010#380—471no—
1011#380—471no—
1012#379—471no—
1013C4×C4⋊C4—471no—
1014C4×C4⋊C4—471no—
1015C4×C4⋊C4—471no—
1016C4×C4⋊C4—471no—
1017C4×C4⋊C4—471no—
1018C4×C4⋊C4—471no—
1019C4×C22⋊C4—471no—
1020C4×C22⋊C4—471no—
1021C4×C22⋊C4—471no—
1022C4×C22⋊C4—471no—
1023C4×C22⋊C4—471no—
1024C4×C22⋊C4—471no—
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4C2×D4711yescharacteristic
1038C4×C22⋊C4C2×D4711yescharacteristic, complemented
1039C2×#95—471no—
1040C2×#95—471no—
1041C43—471no—
1042C47#3482911yescharacteristic, complemented, Sylow
1043C25—471no—
1044C2×#41—944no—
1045C2×#41—944no—
1046C2×#41—1882no—
1047C22×Q8—471no—
1048C22×Q8—471no—
1049C22×D4—471no—
1050C22×D4—471no—
1051C22×D4—471no—
1052C22×D4—471no—
1053C22×D4—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4C22×D4711yescharacteristic
1059C22×D4C22×D4711yescharacteristic
1060C22×D4C22×D4711yescharacteristic
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—944no—
1075C23×C4—944no—
1076C23×C4—1882no—
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079#126—24no—
1080#126—944no—
1081#125—944no—
1082#124—944no—
1083#124—944no—
1084#123—944no—
1085#123—944no—
1086#123—944no—
1087#123—944no—
1088#123—944no—
1089C22⋊Q8—944no—
1090C22⋊Q8—944no—
1091C22⋊Q8—944no—
1092#121—24no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×D4—478no—
1102C4×D4—944no—
1103C4×D4—944no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—1882no—
1111C4×D4—1882no—
1112#117—944no—
1113#117—944no—
1114#117—944no—
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—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4C22×D4711yescharacteristic
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
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—944no—
1177C2×C22⋊C4—944no—
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C22⋊C4C22×D4711yescharacteristic
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C22⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—471no—
1206C2×C42—471no—
1207C2×C42—944no—
1208C2×C42—1882no—
1209C2×C42—1882no—
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
1212C2×C42C22×D4711yescharacteristic
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#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245C24—471no—
1246C24—471no—
1247C24—471no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—1881no—
1254C24—1881no—
1255C24C23×D4711yescharacteristic
1256C24C23×D4711yescharacteristic
1257C24C23×D4711yescharacteristic
1258#41—18816no—
1259C2×Q8—942no—
1260C2×Q8—942no—
1261C2×Q8—942no—
1262C2×Q8—942no—
1263C2×Q8—1881no—
1264C2×Q8—1881no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—474no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—1881no—
1295C2×D4—1881no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—471no—
1308C22×C4—474no—
1309C22×C4—471no—
1310C22×C4—471no—
1311C22×C4—471no—
1312C22×C4—471no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—474no—
1316C22×C4—474no—
1317C22×C4—474no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
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—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—1881no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—18816no—
1359C22×C4—1881no—
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—474no—
1379C4⋊C4—942no—
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—1881no—
1396C4⋊C4—1881no—
1397C4⋊C4—1881no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—474no—
1411C22⋊C4—474no—
1412C22⋊C4—474no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
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—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4D4×D4714yes—
1446C42—22no—
1447C42—41no—
1448C42—41no—
1449C42—474no—
1450C42—942no—
1451C42—942no—
1452C42—942no—
1453C42—942no—
1454C42—942no—
1455C42—942no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—942no—
1462C42—1881no—
1463C42—1881no—
1464C42—1881no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—472no—
1485C23—472no—
1486C23—472no—
1487C23—472no—
1488C23—948no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—1884no—
1507C23—1884no—
1508C23—1884no—
1509C23—1884no—
1510C23—1884no—
1511C23—1884no—
1512C23C2×D4×D4712yes—
1513C23#41×D4712yes—
1514C23C24×D4711yescharacteristic
1515Q8—1884no—
1516Q8—1884no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—948no—
1521D4—1884no—
1522D4—1884no—
1523D4—1884no—
1524D4—1884no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
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—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—472no—
1563C2×C4—472no—
1564C2×C4—472no—
1565C2×C4—472no—
1566C2×C4—472no—
1567C2×C4—472no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—948no—
1572C2×C4—948no—
1573C2×C4—948no—
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—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—1884no—
1605C2×C4—1884no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4—1884no—
1610C2×C4—1884no—
1611C2×C4—1884no—
1612C2×C4—1884no—
1613C2×C4—1884no—
1614C2×C4C2×D4×D4712yes—
1615C2×C4C2×D4×D4712yes—
1616C2×C4#41×D4712yes—
1617C2×C4#41×D4712yes—
1618C2×C4#41×D4712yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—474no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—942no—
1645C22—942no—
1646C22—942no—
1647C22—942no—
1648C22—942no—
1649C22—942no—
1650C22—18816no—
1651C22—1881no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22C22×D4×D4711yescharacteristic
1663C22C2×#41×D4711yescharacteristic
1664C22C2×#41×D4711yescharacteristic
1665C22C2×#41×D4711yescharacteristic
1666C22C2×#41×D4711yescharacteristic
1667C22H(5,𝔽2)×D4711yescharacteristic
1668C22#1568995811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—474no—
1682C4—942no—
1683C4—942no—
1684C4—942no—
1685C4—942no—
1686C4—942no—
1687C4—942no—
1688C4—1881no—
1689C4—1881no—
1690C4—1881no—
1691C4—1881no—
1692C4—1881no—
1693C4—1881no—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—944no—
1698C2—3761no—
1699C2—1882no—
1700C2#532×D4711yescharacteristic
1701C2#2025668211yescharacteristic
1702C2#2025679911yescharacteristic
1703C2#546×D4711yescharacteristic
1704C2#2025687211yescharacteristic
1705C2#2025694711yescharacteristic
1706C2#2025699511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2559C2
hypercenter#2559D47
hypocenterC47#34829
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#15689656C2semidirect
2. C2×#15689633C2semidirect
3. #20248532C2semidirect
4. #20248504C2semidirect
5. #20248481C2semidirect
6. #20248478C2semidirect
7. #20248461C2semidirect
8. #20248454C2semidirect
9. #20248431C2semidirect
10. #20248398C2semidirect
11. #20248347C2semidirect
12. #20248317C2semidirect
13. #20248276C2semidirect
14. #20247715C2semidirect
15. #20247509C2semidirect
16. #20246940C2semidirect
17. #20246925C2semidirect
18. #20246661C2semidirect
19. #20246644C2semidirect
20. #20246627C2semidirect
21. #20246602C2semidirect
22. #20245935C2semidirect
23. #20245915C2semidirect
24. #20245900C2semidirect
25. #20245898C2semidirect
26. #20245889C2semidirect
27. #20245873C2semidirect
28. #20245846C2semidirect
29. C4×(C22⋊D47)⋊C4C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2559C2semidirect
35. C2×#13094018C22semidirect
36. C2×#13094014C22semidirect
38. C2×#13094010C22semidirect
55. C2×#13093989C22semidirect
65. C2×(C22⋊D47)⋊C4C22semidirect
66. C2×(C22⋊D47)⋊C4C22semidirect
68. C2×#13093982C22semidirect
69. C2×#13093980C22semidirect
72. C22×C4×Dic47C22semidirect
75. #15689065C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689053C22semidirect
83. #15689051C22semidirect
84. #15689050C22semidirect
85. #15689048C22semidirect
89. #15689046C22semidirect
90. #15689043C22semidirect
91. #15689043C22semidirect
95. #15689038C22semidirect
98. #15689036C22semidirect
102. #15689031C22semidirect
103. #15689029C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
111. #15689023C22semidirect
112. #15689022C22semidirect
113. #15689020C22semidirect
114. #15689018C22semidirect
116. #15689015C22semidirect
117. #15689015C22semidirect
118. #15689014C22semidirect
120. #15689013C22semidirect
124. #15689011C22semidirect
125. #15689011C22semidirect
126. #15689011C22semidirect
127. #15689008C22semidirect
128. #15689007C22semidirect
129. #15689003C22semidirect
132. #15689002C22semidirect
142. #15688988C22semidirect
145. #15688981C22semidirect
147. C4⋊C4×Dic47C22semidirect
148. C4×Dic47⋊C4C22semidirect
149. #15688974C22semidirect
150. #15688974C22semidirect
151. #15688974C22semidirect
152. #15688974C22semidirect
156. C22⋊C4×Dic47C22semidirect
157. C22⋊C4×Dic47C22semidirect
158. C22⋊C4×Dic47C22semidirect
159. C22⋊C4×Dic47C22semidirect
160. C22⋊C4×Dic47C22semidirect
170. #15688970C22semidirect
173. C42×Dic47C22semidirect
174. C2×#126×C47C22semidirect
176. C47×#400C22semidirect
179. C47×#394C22semidirect
181. C47×#389C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
185. C47×#386C22semidirect
188. C4×C22⋊C4×C47C22semidirect
250. (C22⋊D47)⋊C4D4semidirect
511. C2×C4×D47#41semidirect
551. C22⋊Dic47#41semidirect
574. (C2×D47)⋊C4#41semidirect
844. #2559D47semidirect
889. C2×#126C2×D47semidirect
931. #400C2×D47semidirect
955. #394C2×D47semidirect
975. #389C2×D47semidirect
988. #388C2×D47semidirect
989. #388C2×D47semidirect
1003. #386C2×D47semidirect
1038. C4×C22⋊C4C2×D47semidirect
1042. C47#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#156896562
C2×#156896332
#202485322
#202485042
#202484812
#202484782
#202484612
#202484542
#202484312
#202483982
#202483472
#202483172
#202482762
#202477152
#202475092
#202469402
#202469252
#202466612
#202466442
#202466272
#202466022
#202459352
#202459152
#202459002
#202458982
#202458892
#202458732
#202458462
C4×(C22⋊D47)⋊C42
C4×C22⋊C4×D472
C47×#25592
#3482947