Finite Group Databasebeta

← #26384947

Subgroups — #26384947

Order 12032.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689634C211yesmaximal, characteristic, complemented
2C2×C4×#10625350C211yesmaximal, characteristic, complemented
3#20247589C211yesmaximal, characteristic, complemented
4#20247574C211yesmaximal, characteristic, complemented
5#20247499C211yesmaximal, characteristic, complemented
6#20247484C211yesmaximal, characteristic, complemented
7#20247409C211yesmaximal, characteristic, complemented
8#20247394C211yesmaximal, characteristic, complemented
9#20247310C211yesmaximal, characteristic, complemented
10#20247295C211yesmaximal, characteristic, complemented
11#20247212C211yesmaximal, characteristic, complemented
12#20247138C211yesmaximal, characteristic, complemented
13#20247064C211yesmaximal, characteristic, complemented
14#20246998C211yesmaximal, characteristic, complemented
15#20246924C211yesmaximal, characteristic, complemented
16#20246850C211yesmaximal, characteristic, complemented
17#20246773C211yesmaximal, characteristic, complemented
18#20246707C211yesmaximal, characteristic, complemented
19#20246675C211yesmaximal, characteristic, complemented
20#20246662C211yesmaximal, characteristic, complemented
21#20246632C211yesmaximal, characteristic, complemented
22#20246604C211yesmaximal, characteristic, complemented
23C4×#13094007C211yesmaximal, characteristic, complemented
24C4×#13094006C211yesmaximal, characteristic, complemented
25C4×#13093998C211yesmaximal, characteristic, complemented
26C4×#13093997C211yesmaximal, characteristic, complemented
27C4×#13093993C211yesmaximal, characteristic, complemented
28#20245874C211yesmaximal, characteristic, complemented
29#20245834C211yesmaximal, characteristic, complemented
30#20245831C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×#10625350C2211yescharacteristic
34#15689634—28no—
35C2×#13094007C2211yescharacteristic
36C2×#13094007C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094003C2211yescharacteristic
40C2×#13094003C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093998C2211yescharacteristic
44C2×#13093997C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×#13093993C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C4×#10625350—28no—
49C2×C4×Dic94C2211yescharacteristic, complemented
50C2×C4×Dic94C2211yescharacteristic, complemented
51C2×C4×D188C2211yescharacteristic, complemented
52C2×C4×D188C2211yescharacteristic, complemented
53C2×C4×D188C2211yescharacteristic, complemented
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×#13093983C2211yescharacteristic
64C2×#13093983C2211yescharacteristic
65C2×#13093981C2211yescharacteristic, complemented
66C2×#13093981C2211yescharacteristic, complemented
67C2×#13093981C2211yescharacteristic, complemented
68C2×C42×D47C2211yescharacteristic, complemented
69C2×C42×D47C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689065C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic
74#15689057C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689055C2211yescharacteristic, complemented
77#15689052C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic
80#15689047C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689044C2211yescharacteristic, complemented
85#15689044C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic, complemented
87#15689041C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689038C2211yescharacteristic
94#15689036C2211yescharacteristic, complemented
95#15689036C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic
97#15689035C2211yescharacteristic
98#15689033C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic
101#15689032C2211yescharacteristic
102#15689027C2211yescharacteristic, complemented
103#15689027C2211yescharacteristic, complemented
104#15689025C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689021C2211yescharacteristic, complemented
109#15689020C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic
111#15689017C2211yescharacteristic
112#15689017C2211yescharacteristic
113#15689016C2211yescharacteristic
114#15689016C2211yescharacteristic
115#15689014C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689014C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689010C2211yescharacteristic, complemented
123#15689010C2211yescharacteristic, complemented
124#15689007C2211yescharacteristic, complemented
125#15689007C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689007C2211yescharacteristic, complemented
128#15689006C2211yescharacteristic, complemented
129#15689005C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688997C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic
151#15688996C2211yescharacteristic
152#15688996C2211yescharacteristic
153#15688996C2211yescharacteristic
154#15688996C2211yescharacteristic
155#15688996C2211yescharacteristic
156#15688986C2211yescharacteristic
157#15688985C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic
159#15688982C2211yescharacteristic, complemented
160#15688979C2211yescharacteristic
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162C4×Dic47⋊C4C2211yescharacteristic, complemented
163C4×Dic47⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic47C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172C4×C22⋊Dic47C2211yescharacteristic
173#15688969C2211yescharacteristic, 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—24no—
192C2×#10625350—24no—
193C2×#10625350—24no—
194C2×#10625350—42no—
195C22×Dic94C2311yescharacteristic
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094007—24no—
217#13094007—24no—
218#13094007—24no—
219#13094006—24no—
220#13094003—24no—
221#13094003—24no—
222#13093998—24no—
223#13093998—24no—
224#13093998—24no—
225#13093997—24no—
226#13093993—24no—
227#13093993—24no—
228#13093993—24no—
229C4×Dic94—24no—
230C4×Dic94—24no—
231C4×D188—24no—
232C4×D188—24no—
233C4×D188—42no—
234C4×C22⋊D47—24no—
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—42no—
242C4×C22⋊D47D418yescomplemented
243#13093983—24no—
244#13093983—24no—
245#13093981—24no—
246#13093981—24no—
247#13093981—42no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C42×D47—24no—
320C42×D47—24no—
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
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#4114yescomplemented
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—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47C2×D414yes—
473C2×C22⋊D47#4114yescomplemented
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—232no—
488#10625350—416no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—41no—
497C2×D188—41no—
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—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47C2×D414yes—
519C2×Dic94—22no—
520C2×Dic94—22no—
521C2×Dic94—22no—
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—41no—
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#4114yescomplemented
533C42×C47—22no—
534C42×C47—22no—
535C42×C47—22no—
536C42×C47—22no—
537C42×C47—22no—
538C42×C47—22no—
539C42×C47—41no—
540C42×C47—41no—
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—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47C2×D414yes—
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)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4C2×D414yes—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—41no—
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⋊C4C2×D414yes—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—22no—
610C4×Dic47—22no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—28no—
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—44no—
630C23×C47—44no—
631C23×C47—44no—
632C23×C47—44no—
633C23×C47—44no—
634C23×C47—44no—
635C23×C47C22×D412yes—
636C23×C47C2×#4112yes—
637C23×C47C2×#4112yes—
638C23×C47C2×#4112yes—
639C23×C47C2×#4112yes—
640C23×C47C2511yescharacteristic
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—
661C22×D47C2×#4112yes—
662C2×C4×C47—28no—
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—28no—
676C2×C4×C47—28no—
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—44no—
693C2×C4×C47—44no—
694C2×C4×C47—44no—
695C2×C4×C47—44no—
696C2×C4×C47—44no—
697C2×C4×C47—44no—
698C2×C4×C47—44no—
699C2×C4×C47C22×D412yes—
700C2×C4×C47C22×D412yes—
701C2×C4×C47C2×#4112yes—
702C2×C4×C47C2×#4112yes—
703C2×C4×C47C2×#4112yes—
704C2×C4×C47C2×#4112yes—
705C2×C4×C47C2×#4112yes—
706C2×C4×C47C2×#4112yes—
707C2×C4×C47H(5,𝔽2)12yes—
708C22⋊D47—28no—
709C22⋊D47—28no—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C22⋊D47—44no—
715C22⋊D47—44no—
716C22⋊D47—44no—
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×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47C22×D412yes—
753C2×Dic47C22×D412yes—
754C2×Dic47C22×D412yes—
755C2×Dic47C2×#4112yes—
756D188—28no—
757D188—44no—
758D188—44no—
759C4×D47—28no—
760C4×D47—28no—
761C4×D47—28no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766Dic94—28no—
767Dic94—44no—
768#34732—471nomaximal, Sylow
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—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—416no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47#52514yes—
791C22×C47C23×D411yescharacteristic
792C22×C47C22×#4111yescharacteristic
793C22×C47C22×#4111yescharacteristic
794C22×C47C22×#4111yescharacteristic
795C22×C47C22×#4111yescharacteristic
796C22×C47C2×H(5,𝔽2)11yescharacteristic
797C22×C47#58511yescharacteristic
798C2×D47—22no—
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—22no—
803C2×D47—22no—
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—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—22no—
824C4×C47—22no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47#54614yes—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—41no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844C2×#525—471no—
845C2×C4×#41—471no—
846#2477—471no—
847#2476—471no—
848#2471—471no—
849#2470—471no—
850#2465—471no—
851#2464—471no—
852#2458—471no—
853#2457—471no—
854#2450—471no—
855#2444—471no—
856#2438—471no—
857#2430—471no—
858#2424—471no—
859#2418—471no—
860#2411—471no—
861#2404—471no—
862#2398—471no—
863#2396—471no—
864#2392—471no—
865#2388—471no—
866C4×#123—471no—
867C4×#123—471no—
868C4×#121—471no—
869C4×#121—471no—
870C4×#120—471no—
871#2297—471no—
872#2290—471no—
873#2290—471no—
874C2×C4×C22⋊C4D4711yescharacteristic, complemented
875C2×C47—24no—
876C2×C47—42no—
877C2×C47—42no—
878C2×C47C2×#52511yescharacteristic
879C2×C47#344411yescharacteristic
880C2×C47#346011yescharacteristic
881C2×C47C2×#54611yescharacteristic
882C2×C47D4×#4111yescharacteristic
883C2×C47#347511yescharacteristic
884C2×C47#348111yescharacteristic
885D47—42no—
886D47—42no—
887D47—81no—
888C22×#41—471no—
889C22×#41—471no—
890C24×C4C2×D4711yescharacteristic
891#525—948no—
892C2×#123—471no—
893C2×#123—471no—
894C2×#123—471no—
895C2×#123—471no—
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8—471no—
898C2×#121—471no—
899C2×#121—471no—
900C2×#121—471no—
901C2×#121—471no—
902C2×#120—471no—
903C2×#120—471no—
904C2×#120—471no—
905C4×#41—948no—
906C2×C4×Q8—471no—
907C2×C4×Q8—471no—
908C2×C4×D4—471no—
909C2×C4×D4—471no—
910C2×C4×D4—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×#117—471no—
921C2×#117—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4C2×D4711yescharacteristic
926C22×C22⋊C4C2×D4711yescharacteristic
927C22×C42—471no—
928C22×C42—471no—
929C22×C42C2×D4711yescharacteristic
930C22×C42C2×D4711yescharacteristic
931#400—471no—
932#400—471no—
933#400—471no—
934#399—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#396—471no—
942#396—471no—
943#396—471no—
944#396—471no—
945#395—471no—
946#395—471no—
947#394—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394—471no—
955#393—471no—
956#393—471no—
957#393—471no—
958#393—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#392—471no—
963#391—471no—
964#391—471no—
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#389—471no—
970#389—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#387—471no—
991#386—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#386—471no—
1005#386—471no—
1006#386—471no—
1007#386—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#381—471no—
1018#381—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022C4×C4⋊C4—471no—
1023C4×C4⋊C4—471no—
1024C4×C4⋊C4—471no—
1025C4×C4⋊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⋊C4C2×D4711yescharacteristic
1035C4×C22⋊C4C2×D4711yescharacteristic
1036C4×C22⋊C4C2×D4711yescharacteristic
1037C4×C22⋊C4C2×D4711yescharacteristic
1038C4×C22⋊C4C2×D4711yescharacteristic
1039C4×C22⋊C4C2×D4711yescharacteristic
1040C4×C22⋊C4C2×D4711yescharacteristic
1041C4×C22⋊C4C2×D4711yescharacteristic
1042#376—471no—
1043C2×#95C2×D4711yescharacteristic
1044C2×#95C2×D4711yescharacteristic
1045C47#3473211yescharacteristic, complemented, Sylow
1046C25C22×D4711yescharacteristic
1047C2×#41—944no—
1048C2×#41—944no—
1049C2×#41—944no—
1050C2×#41—944no—
1051C2×#41—944no—
1052C2×#41—1882no—
1053C22×Q8—471no—
1054C22×Q8—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—471no—
1066C22×D4—471no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—42no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079C23×C4C22×D4711yescharacteristic
1080C23×C4C22×D4711yescharacteristic
1081C23×C4C22×D4711yescharacteristic
1082C23×C4C22×D4711yescharacteristic
1083C23×C4C22×D4711yescharacteristic
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—944no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091C22⋊Q8—944no—
1092C22⋊Q8—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×Q8—944no—
1102C4×D4—478no—
1103C4×D4—944no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—1882no—
1113C4×D4—1882no—
1114#117—944no—
1115#117—944no—
1116#117—944no—
1117#117—944no—
1118#117—1882no—
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×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C22⋊C4—24no—
1144C2×C22⋊C4—24no—
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—944no—
1203C2×C42—944no—
1204C2×C42C22×D4711yescharacteristic
1205C2×C42C22×D4711yescharacteristic
1206C2×C42C22×D4711yescharacteristic
1207C2×C42C22×D4711yescharacteristic
1208C2×C42C22×D4711yescharacteristic
1209C2×C42C22×D4711yescharacteristic
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
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#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#95—471no—
1238#95—471no—
1239#95—471no—
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—22no—
1253C24—41no—
1254C24—41no—
1255C24—471no—
1256C24—471no—
1257C24—471no—
1258C24C23×D4711yescharacteristic
1259C24C23×D4711yescharacteristic
1260C24C23×D4711yescharacteristic
1261#41—9432no—
1262#41—18816no—
1263C2×Q8—942no—
1264C2×Q8—942no—
1265C2×Q8—942no—
1266C2×Q8—942no—
1267C2×Q8—942no—
1268C2×Q8—1881no—
1269C2×D4—474no—
1270C2×D4—474no—
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—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—942no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4—1881no—
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—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—416no—
1333C22×C4—471no—
1334C22×C4—471no—
1335C22×C4—471no—
1336C22×C4—471no—
1337C22×C4—474no—
1338C22×C4—471no—
1339C22×C4—471no—
1340C22×C4—471no—
1341C22×C4—471no—
1342C22×C4—471no—
1343C22×C4—471no—
1344C22×C4—471no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—942no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4#1062535014yescomplemented
1368C22×C4#1062535014yescomplemented
1369C22×C4D4×D4714yes—
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C4⋊C4—474no—
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—942no—
1400C4⋊C4—1881no—
1401C4⋊C4—1881no—
1402C4⋊C4—1881no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4—1881no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—474no—
1414C22⋊C4—474no—
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—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⋊C4#1062535014yescomplemented
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—41no—
1459C42—41no—
1460C42—474no—
1461C42—942no—
1462C42—942no—
1463C42—942no—
1464C42—942no—
1465C42—942no—
1466C42—942no—
1467C42—942no—
1468C42—942no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—28no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—472no—
1493C23—472no—
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—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23C2×D4×D4712yes—
1514C23#41×D4712yes—
1515C23C2×#1062535012yes—
1516C23C2×#1062535012yes—
1517C23C2×#1062535012yes—
1518C23C24×D4711yescharacteristic
1519Q8—948no—
1520Q8—1884no—
1521D4—948no—
1522D4—948no—
1523D4—948no—
1524D4—1884no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529D4—1884no—
1530D4—1884no—
1531D4—1884no—
1532D4—1884no—
1533C2×C4—28no—
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—28no—
1547C2×C4—28no—
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—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—948no—
1575C2×C4—948no—
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—948no—
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—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—1884no—
1613C2×C4—1884no—
1614C2×C4—1884no—
1615C2×C4—1884no—
1616C2×C4C2×D4×D4712yes—
1617C2×C4C2×D4×D4712yes—
1618C2×C4C2×#1062535012yes—
1619C2×C4C2×#1062535012yes—
1620C2×C4C2×#1062535012yes—
1621C2×C4C2×#1062535012yes—
1622C2×C4C2×#1062535012yes—
1623C2×C4C2×#1062535012yes—
1624C2×C4#1309406912yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—416no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—942no—
1647C22—942no—
1648C22—942no—
1649C22—942no—
1650C22—942no—
1651C22—942no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22#1568963214yes—
1668C22C22×D4×D4711yescharacteristic
1669C22C2×#41×D4711yescharacteristic
1670C22C22×#1062535011yescharacteristic
1671C22C22×#1062535011yescharacteristic
1672C22C22×#1062535011yescharacteristic
1673C22C2×#1309406911yescharacteristic
1674C22#1568995911yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—942no—
1687C4—942no—
1688C4—942no—
1689C4—942no—
1690C4—1881no—
1691C4—1881no—
1692C4—1881no—
1693C4—1881no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4#1568976314yes—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—3761no—
1704C2—1882no—
1705C2—1882no—
1706C2C2×#1568963211yescharacteristic
1707C2#2025668411yescharacteristic
1708C2#2025681011yescharacteristic
1709C2C2×#1568976311yescharacteristic
1710C2D4×#1062535011yescharacteristic
1711C2#2025694211yescharacteristic
1712C2#2025699211yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C4×C22⋊C4×C47C2
hypercenterC2×C4×C22⋊C4D47
hypocenterC47#34732
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×#15689634C2semidirect
2. C2×C4×#10625350C2semidirect
3. #20247589C2semidirect
4. #20247574C2semidirect
5. #20247499C2semidirect
6. #20247484C2semidirect
7. #20247409C2semidirect
8. #20247394C2semidirect
9. #20247310C2semidirect
10. #20247295C2semidirect
11. #20247212C2semidirect
12. #20247138C2semidirect
13. #20247064C2semidirect
14. #20246998C2semidirect
15. #20246924C2semidirect
16. #20246850C2semidirect
17. #20246773C2semidirect
18. #20246707C2semidirect
19. #20246675C2semidirect
20. #20246662C2semidirect
21. #20246632C2semidirect
22. #20246604C2semidirect
23. C4×#13094007C2semidirect
24. C4×#13094006C2semidirect
25. C4×#13093998C2semidirect
26. C4×#13093997C2semidirect
27. C4×#13093993C2semidirect
28. #20245874C2semidirect
29. #20245834C2semidirect
30. #20245831C2semidirect
31. C2×C4×C22⋊C4×C47C2semidirect
49. C2×C4×Dic94C22semidirect
50. C2×C4×Dic94C22semidirect
51. C2×C4×D188C22semidirect
52. C2×C4×D188C22semidirect
53. C2×C4×D188C22semidirect
65. C2×#13093981C22semidirect
66. C2×#13093981C22semidirect
67. C2×#13093981C22semidirect
68. C2×C42×D47C22semidirect
69. C2×C42×D47C22semidirect
70. #15689065C22semidirect
71. #15689065C22semidirect
72. #15689064C22semidirect
74. #15689057C22semidirect
75. #15689057C22semidirect
76. #15689055C22semidirect
77. #15689052C22semidirect
78. #15689052C22semidirect
80. #15689047C22semidirect
84. #15689044C22semidirect
85. #15689044C22semidirect
86. #15689041C22semidirect
87. #15689041C22semidirect
94. #15689036C22semidirect
95. #15689036C22semidirect
98. #15689033C22semidirect
102. #15689027C22semidirect
103. #15689027C22semidirect
104. #15689025C22semidirect
108. #15689021C22semidirect
109. #15689020C22semidirect
115. #15689014C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689014C22semidirect
120. #15689014C22semidirect
121. #15689012C22semidirect
122. #15689010C22semidirect
123. #15689010C22semidirect
124. #15689007C22semidirect
125. #15689007C22semidirect
126. #15689007C22semidirect
127. #15689007C22semidirect
128. #15689006C22semidirect
129. #15689005C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
147. #15688997C22semidirect
148. #15688997C22semidirect
149. #15688997C22semidirect
157. #15688985C22semidirect
159. #15688982C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. C4×Dic47⋊C4C22semidirect
163. C4×Dic47⋊C4C22semidirect
164. C4×C4⋊Dic47C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×(C2×D47)⋊C4C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
173. #15688969C22semidirect
242. C4×C22⋊D47D4semidirect
433. C22×C4×C47#41semidirect
434. C22×C4×C47#41semidirect
473. C2×C22⋊D47#41semidirect
532. C22⋊C4×C47#41semidirect
874. C2×C4×C22⋊C4D47semidirect
1045. C47#34732semidirect
1367. C22×C4#10625350semidirect
1368. C22×C4#10625350semidirect
1451. C22⋊C4#10625350semidirect

Maximal subgroups

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

subgroupindex
C2×#156896342
C2×C4×#106253502
#202475892
#202475742
#202474992
#202474842
#202474092
#202473942
#202473102
#202472952
#202472122
#202471382
#202470642
#202469982
#202469242
#202468502
#202467732
#202467072
#202466752
#202466622
#202466322
#202466042
C4×#130940072
C4×#130940062
C4×#130939982
C4×#130939972
C4×#130939932
#202458742
#202458342
#202458312
C2×C4×C22⋊C4×C472
#3473247