Finite Group Databasebeta

← #26386454

Subgroups — #26386454

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×#15689657C211yesmaximal, characteristic, complemented
2C2×#15689634C211yesmaximal, characteristic, complemented
3#20248532C211yesmaximal, characteristic, complemented
4#20248517C211yesmaximal, characteristic, complemented
5#20248502C211yesmaximal, characteristic, complemented
6#20248487C211yesmaximal, characteristic, complemented
7#20248472C211yesmaximal, characteristic, complemented
8#20248457C211yesmaximal, characteristic, complemented
9#20248448C211yesmaximal, characteristic, complemented
10#20248433C211yesmaximal, characteristic, complemented
11#20248399C211yesmaximal, characteristic, complemented
12#20248348C211yesmaximal, characteristic, complemented
13#20248319C211yesmaximal, characteristic, complemented
14#20248278C211yesmaximal, characteristic, complemented
15#20247714C211yesmaximal, characteristic, complemented
16#20247508C211yesmaximal, characteristic, complemented
17#20246939C211yesmaximal, characteristic, complemented
18#20246924C211yesmaximal, characteristic, complemented
19#20246662C211yesmaximal, characteristic, complemented
20#20246649C211yesmaximal, characteristic, complemented
21#20246632C211yesmaximal, characteristic, complemented
22#20246604C211yesmaximal, characteristic, complemented
23C4×#13094010C211yesmaximal, characteristic, complemented
24C4×#13094007C211yesmaximal, characteristic, complemented
25C4×#13093998C211yesmaximal, characteristic, complemented
26C4×#13093997C211yesmaximal, characteristic, complemented
27C4×#13093993C211yesmaximal, characteristic, complemented
28#20245874C211yesmaximal, characteristic, complemented
29#20245851C211yesmaximal, characteristic, complemented
30C42×C22⋊D47C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33#15689657—28no—
34C2×#13094018C2211yescharacteristic, complemented
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094016C2211yescharacteristic, complemented
37C2×#13094012C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic
39#15689634—28no—
40C2×#13094007C2211yescharacteristic
41C2×#13094007C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094007C2211yescharacteristic
44C2×#13094007C2211yescharacteristic
45C2×#13094003C2211yescharacteristic
46C2×#13094003C2211yescharacteristic
47C2×#13094003C2211yescharacteristic
48C2×#13093998C2211yescharacteristic
49C2×#13093998C2211yescharacteristic
50C2×#13093998C2211yescharacteristic
51C2×#13093998C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093993C2211yescharacteristic
54C2×#13093993C2211yescharacteristic
55C2×#13093993C2211yescharacteristic
56C2×C4×Dic94C2211yescharacteristic, complemented
57C2×C4×D188C2211yescharacteristic, complemented
58C2×C4×D188C2211yescharacteristic, complemented
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×C4×C22⋊D47C2211yescharacteristic
67C2×C4×C22⋊D47C2211yescharacteristic
68C2×#13093983C2211yescharacteristic
69C2×#13093981C2211yescharacteristic, complemented
70C2×#13093981C2211yescharacteristic, complemented
71C2×C42×D47C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic
75#15689059C2211yescharacteristic
76#15689057C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689055C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic
83#15689050C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689046C2211yescharacteristic
88#15689044C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689041C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic
98#15689036C2211yescharacteristic, complemented
99#15689035C2211yescharacteristic
100#15689033C2211yescharacteristic, complemented
101#15689032C2211yescharacteristic
102#15689032C2211yescharacteristic
103#15689032C2211yescharacteristic
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689025C2211yescharacteristic, complemented
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic
114#15689021C2211yescharacteristic, complemented
115#15689020C2211yescharacteristic, complemented
116#15689020C2211yescharacteristic, complemented
117#15689020C2211yescharacteristic, complemented
118#15689016C2211yescharacteristic
119#15689016C2211yescharacteristic
120#15689015C2211yescharacteristic, complemented
121#15689015C2211yescharacteristic, complemented
122#15689015C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689014C2211yescharacteristic, complemented
125#15689014C2211yescharacteristic, complemented
126#15689014C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689011C2211yescharacteristic
130#15689011C2211yescharacteristic
131#15689011C2211yescharacteristic
132#15689007C2211yescharacteristic, complemented
133#15689007C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689002C2211yescharacteristic
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689001C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688996C2211yescharacteristic
147#15688996C2211yescharacteristic
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic
150#15688987C2211yescharacteristic, complemented
151#15688986C2211yescharacteristic
152#15688983C2211yescharacteristic
153#15688982C2211yescharacteristic, complemented
154#15688979C2211yescharacteristic
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×Dic47⋊C4C2211yescharacteristic, complemented
159C4×Dic47⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic47C2211yescharacteristic, complemented
161C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172C4×C22⋊Dic47C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C24×C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C42×C47C2211yescharacteristic
178C22×C42×C47C2211yescharacteristic
179C4×C22⋊C4×C47C2211yescharacteristic
180C4×C22⋊C4×C47C2211yescharacteristic
181C4×C22⋊C4×C47C2211yescharacteristic
182C4×C22⋊C4×C47C2211yescharacteristic
183C4×C22⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C2×#95×C47C2211yescharacteristic
189C2×#10625350—24no—
190C2×#10625350—24no—
191C2×#10625350—42no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094018—24no—
212#13094018—24no—
213#13094016—24no—
214#13094012—24no—
215#13094010—24no—
216#13094007—24no—
217#13094007—24no—
218#13094007—24no—
219#13094007—24no—
220#13094007—24no—
221#13094003—24no—
222#13094003—24no—
223#13094003—24no—
224#13093998—24no—
225#13093998—24no—
226#13093998—24no—
227#13093998—24no—
228#13093997—24no—
229#13093993—24no—
230#13093993—24no—
231#13093993—24no—
232C4×Dic94—24no—
233C4×D188—24no—
234C4×D188—42no—
235C4×C22⋊D47—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47—24no—
240C4×C22⋊D47—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—42no—
243C4×C22⋊D47D418yescomplemented
244#13093983—24no—
245#13093981—24no—
246#13093981—24no—
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
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
272C2×Dic47⋊C4C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×(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×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
324C42×D47—42no—
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
349C25×C47C2311yescharacteristic
350C23×C4×C47—24no—
351C23×C4×C47—24no—
352C23×C4×C47—42no—
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47—24no—
364C2×C22⋊C4×C47—24no—
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×C42×C47—24no—
374C2×C42×C47—42no—
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379C2×C42×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×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C22×C4×C47—22no—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
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—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—41no—
430C22×C4×C47—41no—
431C22×C4×C47—416no—
432C22×C4×C47C2×D414yes—
433C22×C4×C47#4114yes—
434C22×C4×C47#4114yescomplemented
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—22no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47C2×D414yes—
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487#10625350—416no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—41no—
494C2×D188—41no—
495C2×D188—41no—
496C2×D188—41no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47C2×D414yes—
512C2×Dic94—22no—
513C2×Dic94—22no—
514C2×Dic94—22no—
515C2×Dic94—22no—
516C2×Dic94—41no—
517C2×Dic94—41no—
518C22⋊C4×C47—22no—
519C22⋊C4×C47—22no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47#4114yescomplemented
526C42×C47—22no—
527C42×C47—22no—
528C42×C47—22no—
529C42×C47—22no—
530C42×C47—22no—
531C42×C47—22no—
532C42×C47—41no—
533C42×C47—41no—
534C22⋊Dic47—22no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47C2×D414yes—
548C22⋊Dic47#4114yescomplemented
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—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—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4C2×D414yes—
574C4⋊Dic47—22no—
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—41no—
580C4⋊Dic47—41no—
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—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4C2×D414yes—
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—28no—
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—44no—
629C23×C47—44no—
630C23×C47—44no—
631C23×C47—44no—
632C23×C47—44no—
633C23×C47—44no—
634C23×C47C22×D412yes—
635C23×C47C2×#4112yes—
636C23×C47C2×#4112yes—
637C23×C47C2×#4112yes—
638C23×C47C2×#4112yes—
639C23×C47C2511yescharacteristic
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—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47C22×D412yes—
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—28no—
674C2×C4×C47—28no—
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—44no—
691C2×C4×C47—44no—
692C2×C4×C47—44no—
693C2×C4×C47—44no—
694C2×C4×C47—44no—
695C2×C4×C47—44no—
696C2×C4×C47—44no—
697C2×C4×C47—44no—
698C2×C4×C47C22×D412yes—
699C2×C4×C47C22×D412yes—
700C2×C4×C47C2×#4112yes—
701C2×C4×C47C2×#4112yes—
702C2×C4×C47C2×#4112yes—
703C2×C4×C47C2×#4112yes—
704C2×C4×C47C2×#4112yes—
705C2×C4×C47C2×#4112yes—
706C2×C4×C47H(5,𝔽2)12yes—
707C22⋊D47—28no—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C22⋊D47—44no—
715C22⋊D47—44no—
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—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47C22×D412yes—
751C2×Dic47C22×D412yes—
752C2×Dic47C22×D412yes—
753C2×Dic47C2×#4112yes—
754C2×Dic47C2×#4112yes—
755D188—44no—
756D188—44no—
757D188—44no—
758C4×D47—28no—
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—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—416no—
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×C47#53214yes—
788C22×C47C23×D411yescharacteristic
789C22×C47C22×#4111yescharacteristic
790C22×C47C22×#4111yescharacteristic
791C22×C47C22×#4111yescharacteristic
792C22×C47C22×#4111yescharacteristic
793C22×C47C2×H(5,𝔽2)11yescharacteristic
794C22×C47#58511yescharacteristic
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—22no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
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—41no—
816C4×C47—22no—
817C4×C47—22no—
818C4×C47—22no—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—41no—
823C4×C47—41no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47#54614yes—
828Dic47—22no—
829Dic47—22no—
830Dic47—22no—
831Dic47—22no—
832Dic47—22no—
833Dic47—41no—
834Dic47—41no—
835Dic47—41no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841C2×#529—471no—
842C2×#525—471no—
843#2560—471no—
844#2559—471no—
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⋊C4D4711yescharacteristic, complemented
872C2×C47—24no—
873C2×C47—42no—
874C2×C47—42no—
875C2×C47C2×#53211yescharacteristic
876C2×C47#344411yescharacteristic
877C2×C47#345911yescharacteristic
878C2×C47C2×#54611yescharacteristic
879C2×C47D4×#4111yescharacteristic
880C2×C47#347511yescharacteristic
881C2×C47#348111yescharacteristic
882D47—42no—
883D47—81no—
884D47—81no—
885C22×#41—471no—
886C24×C4C2×D4711yescharacteristic
887#529—948no—
888C2×#126—471no—
889C2×#126—471no—
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×#121—471no—
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⋊C4C2×D4711yescharacteristic
926C22×C22⋊C4C2×D4711yescharacteristic
927C22×C42—471no—
928C22×C42C2×D4711yescharacteristic
929C22×C42C2×D4711yescharacteristic
930#400—471no—
931#400—471no—
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#394—471no—
954#394—471no—
955#394—471no—
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#390—471no—
972#389—471no—
973#389—471no—
974#389—471no—
975#389—471no—
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#388—471no—
989#388—471no—
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#386—471no—
1003#386—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
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⋊C4C2×D4711yescharacteristic
1032C4×C22⋊C4C2×D4711yescharacteristic
1033C4×C22⋊C4C2×D4711yescharacteristic
1034C4×C22⋊C4C2×D4711yescharacteristic
1035C4×C22⋊C4C2×D4711yescharacteristic
1036C4×C22⋊C4C2×D4711yescharacteristic
1037C4×C22⋊C4C2×D4711yescharacteristic
1038C4×C22⋊C4C2×D4711yescharacteristic
1039C2×#95C2×D4711yescharacteristic
1040C2×#95C2×D4711yescharacteristic
1041C43—471no—
1042C47#3482911yescharacteristic, complemented, Sylow
1043C25C22×D4711yescharacteristic
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×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C23×C4—24no—
1062C23×C4—24no—
1063C23×C4—42no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4C22×D4711yescharacteristic
1070C23×C4C22×D4711yescharacteristic
1071C23×C4C22×D4711yescharacteristic
1072C23×C4C22×D4711yescharacteristic
1073C23×C4C22×D4711yescharacteristic
1074C23×C4C22×D4711yescharacteristic
1075C23×C4C22×D4711yescharacteristic
1076C23×C4C22×D4711yescharacteristic
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079#126—944no—
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—944no—
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⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—24no—
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—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
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—24no—
1192C2×C42—42no—
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—1882no—
1205C2×C42C22×D4711yescharacteristic
1206C2×C42C22×D4711yescharacteristic
1207C2×C42C22×D4711yescharacteristic
1208C2×C42C22×D4711yescharacteristic
1209C2×C42C22×D4711yescharacteristic
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—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24—471no—
1253C24—471no—
1254C24—471no—
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—474no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—942no—
1269C2×D4—942no—
1270C2×D4—942no—
1271C2×D4—942no—
1272C2×D4—942no—
1273C2×D4—942no—
1274C2×D4—942no—
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—1881no—
1292C2×D4—1881no—
1293C2×D4—1881no—
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—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—416no—
1329C22×C4—471no—
1330C22×C4—471no—
1331C22×C4—471no—
1332C22×C4—471no—
1333C22×C4—471no—
1334C22×C4—474no—
1335C22×C4—471no—
1336C22×C4—471no—
1337C22×C4—471no—
1338C22×C4—471no—
1339C22×C4—471no—
1340C22×C4—471no—
1341C22×C4—471no—
1342C22×C4—471no—
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—942no—
1353C22×C4—942no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4#1062535014yes—
1358C22×C4#1062535014yescomplemented
1359C22×C4D4×D4714yes—
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—474no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C4⋊C4—942no—
1376C4⋊C4—942no—
1377C4⋊C4—942no—
1378C4⋊C4—942no—
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—1881no—
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—474no—
1406C22⋊C4—474no—
1407C22⋊C4—474no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
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—1881no—
1440C22⋊C4—1881no—
1441C22⋊C4—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4#1062535014yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—41no—
1453C42—41no—
1454C42—474no—
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—28no—
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—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—472no—
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—941no—
1507C23—941no—
1508C23—941no—
1509C23C2×D4×D4712yes—
1510C23#41×D4712yes—
1511C23C2×#1062535012yes—
1512C23C2×#1062535012yes—
1513C23C2×#1062535012yes—
1514C23C24×D4711yescharacteristic
1515Q8—1884no—
1516Q8—1884no—
1517D4—948no—
1518D4—1884no—
1519D4—1884no—
1520D4—1884no—
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—28no—
1542C2×C4—28no—
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—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—472no—
1567C2×C4—472no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—472no—
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—948no—
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—941no—
1605C2×C4—941no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4—1884no—
1610C2×C4C2×D4×D4712yes—
1611C2×C4C2×D4×D4712yes—
1612C2×C4C2×#1062535012yes—
1613C2×C4C2×#1062535012yes—
1614C2×C4C2×#1062535012yes—
1615C2×C4C2×#1062535012yes—
1616C2×C4C2×#1062535012yes—
1617C2×C4C2×#1062535012yes—
1618C2×C4#1309406912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—1881no—
1644C22—1881no—
1645C22—1881no—
1646C22—1881no—
1647C22—1881no—
1648C22—1881no—
1649C22—1881no—
1650C22—1881no—
1651C22—1881no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22#1568967014yes—
1662C22C22×D4×D4711yescharacteristic
1663C22C2×#41×D4711yescharacteristic
1664C22C22×#1062535011yescharacteristic
1665C22C22×#1062535011yescharacteristic
1666C22C22×#1062535011yescharacteristic
1667C22C2×#1309406911yescharacteristic
1668C22#1568995911yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—942no—
1681C4—942no—
1682C4—942no—
1683C4—942no—
1684C4—942no—
1685C4—1881no—
1686C4—1881no—
1687C4—1881no—
1688C4—1881no—
1689C4—1881no—
1690C4—1881no—
1691C4—1881no—
1692C4—1881no—
1693C4#1568976314yes—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—3761no—
1698C2—3761no—
1699C2—1882no—
1700C2C2×#1568967011yescharacteristic
1701C2#2025668411yescharacteristic
1702C2#2025679711yescharacteristic
1703C2C2×#1568976311yescharacteristic
1704C2D4×#1062535011yescharacteristic
1705C2#2025694211yescharacteristic
1706C2#2025699211yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C4×C22⋊C4×C47C2
hypercenterC2×C4×C22⋊C4D47
hypocenterC47#34829
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#15689657C2semidirect
2. C2×#15689634C2semidirect
3. #20248532C2semidirect
4. #20248517C2semidirect
5. #20248502C2semidirect
6. #20248487C2semidirect
7. #20248472C2semidirect
8. #20248457C2semidirect
9. #20248448C2semidirect
10. #20248433C2semidirect
11. #20248399C2semidirect
12. #20248348C2semidirect
13. #20248319C2semidirect
14. #20248278C2semidirect
15. #20247714C2semidirect
16. #20247508C2semidirect
17. #20246939C2semidirect
18. #20246924C2semidirect
19. #20246662C2semidirect
20. #20246649C2semidirect
21. #20246632C2semidirect
22. #20246604C2semidirect
23. C4×#13094010C2semidirect
24. C4×#13094007C2semidirect
25. C4×#13093998C2semidirect
26. C4×#13093997C2semidirect
27. C4×#13093993C2semidirect
28. #20245874C2semidirect
29. #20245851C2semidirect
30. C42×C22⋊D47C2semidirect
31. C2×C4×C22⋊C4×C47C2semidirect
34. C2×#13094018C22semidirect
35. C2×#13094018C22semidirect
36. C2×#13094016C22semidirect
37. C2×#13094012C22semidirect
56. C2×C4×Dic94C22semidirect
57. C2×C4×D188C22semidirect
58. C2×C4×D188C22semidirect
69. C2×#13093981C22semidirect
70. C2×#13093981C22semidirect
71. C2×C42×D47C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
76. #15689057C22semidirect
77. #15689057C22semidirect
78. #15689057C22semidirect
79. #15689055C22semidirect
80. #15689052C22semidirect
81. #15689052C22semidirect
83. #15689050C22semidirect
84. #15689047C22semidirect
88. #15689044C22semidirect
89. #15689044C22semidirect
90. #15689041C22semidirect
91. #15689041C22semidirect
98. #15689036C22semidirect
100. #15689033C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689027C22semidirect
107. #15689025C22semidirect
114. #15689021C22semidirect
115. #15689020C22semidirect
116. #15689020C22semidirect
117. #15689020C22semidirect
120. #15689015C22semidirect
121. #15689015C22semidirect
122. #15689015C22semidirect
123. #15689014C22semidirect
124. #15689014C22semidirect
125. #15689014C22semidirect
126. #15689014C22semidirect
127. #15689012C22semidirect
128. #15689012C22semidirect
132. #15689007C22semidirect
133. #15689007C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
142. #15689001C22semidirect
150. #15688987C22semidirect
153. #15688982C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×Dic47⋊C4C22semidirect
159. C4×Dic47⋊C4C22semidirect
160. C4×C4⋊Dic47C22semidirect
161. C4×(C2×D47)⋊C4C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
173. C42×Dic47C22semidirect
243. C4×C22⋊D47D4semidirect
434. C22×C4×C47#41semidirect
525. C22⋊C4×C47#41semidirect
548. C22⋊Dic47#41semidirect
871. C2×C4×C22⋊C4D47semidirect
1042. C47#34829semidirect
1358. C22×C4#10625350semidirect
1445. C22⋊C4#10625350semidirect

Maximal subgroups

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

subgroupindex
C2×#156896572
C2×#156896342
#202485322
#202485172
#202485022
#202484872
#202484722
#202484572
#202484482
#202484332
#202483992
#202483482
#202483192
#202482782
#202477142
#202475082
#202469392
#202469242
#202466622
#202466492
#202466322
#202466042
C4×#130940102
C4×#130940072
C4×#130939982
C4×#130939972
C4×#130939932
#202458742
#202458512
C42×C22⋊D472
C2×C4×C22⋊C4×C472
#3482947