Finite Group Databasebeta

← #26388947

Subgroups — #26388947

Order 12032.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic, complemented
2#20251703C211yesmaximal, characteristic, complemented
3#20251689C211yesmaximal, characteristic, complemented
4#20251680C211yesmaximal, characteristic, complemented
5#20251670C211yesmaximal, characteristic, complemented
6#20249283C211yesmaximal, characteristic, complemented
7#20249272C211yesmaximal, characteristic, complemented
8#20249240C211yesmaximal, characteristic, complemented
9#20249225C211yesmaximal, characteristic, complemented
10#20247643C211yesmaximal, characteristic, complemented
11#20247508C211yesmaximal, characteristic, complemented
12#20247433C211yesmaximal, characteristic, complemented
13#20247319C211yesmaximal, characteristic, complemented
14#20247280C211yesmaximal, characteristic, complemented
15#20247274C211yesmaximal, characteristic, complemented
16#20247206C211yesmaximal, characteristic, complemented
17#20247132C211yesmaximal, characteristic, complemented
18#20247123C211yesmaximal, characteristic, complemented
19#20247049C211yesmaximal, characteristic, complemented
20#20246924C211yesmaximal, characteristic, complemented
21#20246918C211yesmaximal, characteristic, complemented
22#20246844C211yesmaximal, characteristic, complemented
23#20246762C211yesmaximal, characteristic, complemented
24#20246756C211yesmaximal, characteristic, complemented
25#20246698C211yesmaximal, characteristic, complemented
26#20246086C211yesmaximal, characteristic, complemented
27#20246042C211yesmaximal, characteristic, complemented
28#20246021C211yesmaximal, characteristic, complemented
29C4×#13093993C211yesmaximal, characteristic, complemented
30C2×#15689002C211yesmaximal, characteristic, complemented
31C22×C4×D4×C47C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33#15689706—28no—
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094012C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094009C2211yescharacteristic, complemented
39C2×#13094007C2211yescharacteristic, complemented
40C2×#13094007C2211yescharacteristic, complemented
41C2×#13094003C2211yescharacteristic, complemented
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13093998C2211yescharacteristic
44C2×#13093998C2211yescharacteristic
45C2×#13093998C2211yescharacteristic, complemented
46C2×#13093998C2211yescharacteristic, complemented
47C2×#13093997C2211yescharacteristic, complemented
48C2×#13093996C2211yescharacteristic
49C2×#13093996C2211yescharacteristic
50C2×#13093994C2211yescharacteristic, complemented
51C2×#13093993C2211yescharacteristic
52C2×#13093993C2211yescharacteristic
53C2×#13093993C2211yescharacteristic
54C2×#13093993C2211yescharacteristic, complemented
55C2×#13093992C2211yescharacteristic
56C2×#13093992C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic, complemented
58C2×C4×C22⋊D47C2211yescharacteristic, complemented
59C2×C4×C22⋊D47C2211yescharacteristic, complemented
60C22×C22⋊Dic47C2211yescharacteristic
61C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
62C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
63#15689062C2211yescharacteristic, complemented
64#15689061C2211yescharacteristic, complemented
65#15689059C2211yescharacteristic, complemented
66#15689058C2211yescharacteristic, complemented
67#15689056C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689049C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689040C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic, complemented
77#15689039C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic, complemented
79#15689038C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689037C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689035C2211yescharacteristic, complemented
85#15689035C2211yescharacteristic, complemented
86#15689032C2211yescharacteristic, complemented
87#15689032C2211yescharacteristic, complemented
88#15689032C2211yescharacteristic, complemented
89#15689031C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689031C2211yescharacteristic
92#15689031C2211yescharacteristic
93#15689031C2211yescharacteristic, complemented
94#15689031C2211yescharacteristic, complemented
95#15689029C2211yescharacteristic, complemented
96#15689025C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic, complemented
99#15689016C2211yescharacteristic, complemented
100#15689016C2211yescharacteristic, complemented
101#15689014C2211yescharacteristic, complemented
102#15689014C2211yescharacteristic, complemented
103#15689014C2211yescharacteristic, complemented
104#15689014C2211yescharacteristic, complemented
105#15689014C2211yescharacteristic, complemented
106#15689014C2211yescharacteristic, complemented
107#15689014C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689013C2211yescharacteristic, complemented
110#15689011C2211yescharacteristic, complemented
111#15689009C2211yescharacteristic, complemented
112#15689009C2211yescharacteristic, complemented
113#15689007C2211yescharacteristic, complemented
114#15689007C2211yescharacteristic, complemented
115#15689007C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15689003C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689002C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic, complemented
132#15689002C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic, complemented
135#15689002C2211yescharacteristic, complemented
136#15689002C2211yescharacteristic, complemented
137#15689002C2211yescharacteristic, complemented
138#15689002C2211yescharacteristic, complemented
139#15689002C2211yescharacteristic, complemented
140#15689002C2211yescharacteristic, complemented
141#15689002C2211yescharacteristic, complemented
142#15689002C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688998C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688996C2211yescharacteristic, complemented
155#15688995C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688991C2211yescharacteristic, complemented
158#15688989C2211yescharacteristic, complemented
159#15688986C2211yescharacteristic, complemented
160#15688986C2211yescharacteristic, complemented
161#15688983C2211yescharacteristic, complemented
162#15688983C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688979C2211yescharacteristic
166#15688979C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C23×D4×C47C2211yescharacteristic
174C24×C4×C47C2211yescharacteristic
175C24×C4×C47C2211yescharacteristic, complemented
176C2×C4×D4×C47—28no—
177C2×C4×D4×C47C2211yescharacteristic
178C2×C4×D4×C47C2211yescharacteristic
179C2×C4×D4×C47C2211yescharacteristic
180C2×C4×D4×C47C2211yescharacteristic
181C2×C4×D4×C47C2211yescharacteristic, complemented
182C2×C4×D4×C47C2211yescharacteristic, complemented
183C2×C4×D4×C47C2211yescharacteristic, complemented
184C2×C4×D4×C47C2211yescharacteristic, complemented
185C22×C4⋊C4×C47C2211yescharacteristic, complemented
186C22×C22⋊C4×C47C2211yescharacteristic
187C22×C22⋊C4×C47C2211yescharacteristic, complemented
188C22×C42×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47—24no—
194C22×C22⋊D47—42no—
195C22×C22⋊D47—42no—
196C22×C22⋊D47C2311yescharacteristic
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×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094019—24no—
214#13094018—24no—
215#13094012—24no—
216#13094010—24no—
217#13094009—24no—
218#13094007—24no—
219#13094007—42no—
220#13094003—42no—
221#13094001—24no—
222#13093998—24no—
223#13093998—42no—
224#13093998—42no—
225#13093998—42no—
226#13093997—24no—
227#13093996—24no—
228#13093996—24no—
229#13093994—24no—
230#13093993—24no—
231#13093993—42no—
232#13093993—42no—
233#13093993—42no—
234#13093992—24no—
235#13093992—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—42no—
238C4×C22⋊D47—42no—
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×C22⋊Dic47—42no—
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×(C2×D47)⋊C4—24no—
280C2×(C2×D47)⋊C4—42no—
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
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
341C25×C47C2311yescharacteristic
342C25×C47C2311yescharacteristic
343C22×D4×C47—24no—
344C22×D4×C47—24no—
345C22×D4×C47—24no—
346C22×D4×C47C2311yescharacteristic
347C22×D4×C47C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47—24no—
351C23×C4×C47—24no—
352C23×C4×C47—42no—
353C23×C4×C47—42no—
354C23×C4×C47—42no—
355C23×C4×C47—42no—
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366C23×C4×C47C2311yescharacteristic
367C23×C4×C47C2311yescharacteristic
368C23×C4×C47C2311yescharacteristic
369C4×D4×C47—24no—
370C4×D4×C47—24no—
371C4×D4×C47—24no—
372C4×D4×C47—24no—
373C4×D4×C47—24no—
374C4×D4×C47—24no—
375C4×D4×C47—24no—
376C4×D4×C47D418yescomplemented
377C2×C4⋊C4×C47—24no—
378C2×C4⋊C4×C47C2311yescharacteristic
379C2×C4⋊C4×C47C2311yescharacteristic
380C2×C4⋊C4×C47C2311yescharacteristic
381C2×C4⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47—24no—
383C2×C22⋊C4×C47—24no—
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387C2×C22⋊C4×C47C2311yescharacteristic
388C2×C22⋊C4×C47C2311yescharacteristic
389C2×C22⋊C4×C47C2311yescharacteristic
390C2×C22⋊C4×C47C2311yescharacteristic
391C2×C22⋊C4×C47C2311yescharacteristic
392C2×C42×C47—24no—
393C2×C42×C47C2311yescharacteristic
394C2×C42×C47C2311yescharacteristic
395C2×C42×C47C2311yescharacteristic
396C2×C42×C47C2311yescharacteristic
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—22no—
401C24×C47—22no—
402C24×C47—22no—
403C24×C47—22no—
404C24×C47—22no—
405C24×C47—22no—
406C24×C47—41no—
407C24×C47—41no—
408C24×C47—41no—
409C24×C47—41no—
410C24×C47#4114yes—
411C24×C47C2411yescharacteristic
412C24×C47C2411yescharacteristic
413C24×C47C2411yescharacteristic
414C24×C47C2411yescharacteristic
415C24×C47C2411yescharacteristic
416C23×D47—22no—
417C23×D47—22no—
418C23×D47—22no—
419C23×D47—41no—
420C23×D47—41no—
421C23×D47—41no—
422C23×D47—41no—
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C2×D4×C47—232no—
427C2×D4×C47—22no—
428C2×D4×C47—22no—
429C2×D4×C47—22no—
430C2×D4×C47—22no—
431C2×D4×C47—22no—
432C2×D4×C47—22no—
433C2×D4×C47—22no—
434C2×D4×C47—22no—
435C2×D4×C47—22no—
436C2×D4×C47—22no—
437C2×D4×C47C2×D414yes—
438C2×D4×C47#4114yes—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—22no—
447C22×C4×C47—22no—
448C22×C4×C47—22no—
449C22×C4×C47—22no—
450C22×C4×C47—22no—
451C22×C4×C47—22no—
452C22×C4×C47—22no—
453C22×C4×C47—22no—
454C22×C4×C47—22no—
455C22×C4×C47—22no—
456C22×C4×C47—22no—
457C22×C4×C47—22no—
458C22×C4×C47—22no—
459C22×C4×C47—22no—
460C22×C4×C47—22no—
461C22×C4×C47—41no—
462C22×C4×C47—41no—
463C22×C4×C47—41no—
464C22×C4×C47—41no—
465C22×C4×C47—41no—
466C22×C4×C47—41no—
467C22×C4×C47—41no—
468C22×C4×C47—41no—
469C22×C4×C47—41no—
470C22×C4×C47—41no—
471C22×C4×C47—41no—
472C22×C4×C47—41no—
473C22×C4×C47—41no—
474C22×C4×C47—41no—
475C22×C4×C47—41no—
476C22×C4×C47—416no—
477C22×C4×C47—416no—
478C22×C4×C47C2×D414yes—
479C22×C4×C47C2×D414yescomplemented
480C22×C4×C47C2411yescharacteristic
481C22×C4×C47C2411yescharacteristic
482C22×C4×C47C2411yescharacteristic
483C22×C4×C47C2411yescharacteristic
484C22×C4×C47C2411yescharacteristic
485C22×C4×C47C2411yescharacteristic
486C22×C4×C47C2411yescharacteristic
487C22×C4×C47C2411yescharacteristic
488C22×C4×C47C2411yescharacteristic
489C22×C4×C47C2411yescharacteristic
490C2×C22⋊D47—22no—
491C2×C22⋊D47—22no—
492C2×C22⋊D47—22no—
493C2×C22⋊D47—22no—
494C2×C22⋊D47—22no—
495C2×C22⋊D47—22no—
496C2×C22⋊D47—22no—
497C2×C22⋊D47—22no—
498C2×C22⋊D47—22no—
499C2×C22⋊D47—22no—
500C2×C22⋊D47—22no—
501C2×C22⋊D47—22no—
502C2×C22⋊D47—22no—
503C2×C22⋊D47—22no—
504C2×C22⋊D47—22no—
505C2×C22⋊D47—22no—
506C2×C22⋊D47—22no—
507C2×C22⋊D47—22no—
508C2×C22⋊D47—22no—
509C2×C22⋊D47—22no—
510C2×C22⋊D47—22no—
511C2×C22⋊D47—41no—
512C2×C22⋊D47—41no—
513C2×C22⋊D47—41no—
514C2×C22⋊D47—41no—
515C2×C22⋊D47—41no—
516C2×C22⋊D47—41no—
517C2×C22⋊D47—41no—
518C2×C22⋊D47—41no—
519C2×C22⋊D47—41no—
520C2×C22⋊D47—41no—
521C2×C22⋊D47—41no—
522C2×C22⋊D47—41no—
523C2×C22⋊D47—41no—
524C2×C22⋊D47—41no—
525C2×C22⋊D47—41no—
526C2×C22⋊D47—41no—
527C2×C22⋊D47—41no—
528C2×C22⋊D47—41no—
529C2×C22⋊D47—416no—
530C22×Dic47—22no—
531C22×Dic47—22no—
532C22×Dic47—22no—
533C22×Dic47—41no—
534C22×Dic47—41no—
535C22×Dic47—41no—
536C22×Dic47—41no—
537C22×Dic47—41no—
538C22×Dic47—41no—
539C22×Dic47C2411yescharacteristic
540C22×Dic47C2411yescharacteristic
541C22×Dic47C2411yescharacteristic
542C22×Dic47C2411yescharacteristic
543C22×Dic47C2411yescharacteristic
544C22×Dic47C2411yescharacteristic
545C22×Dic47C2411yescharacteristic
546C22×Dic47C2411yescharacteristic
547C22×Dic47C2411yescharacteristic
548C22×Dic47C2411yescharacteristic
549C22×Dic47C2411yescharacteristic
550C22×Dic47C2411yescharacteristic
551C22×Dic47C2411yescharacteristic
552C2×D188—22no—
553C2×D188—22no—
554C2×D188—41no—
555C2×D188—41no—
556C2×D188—41no—
557C2×D188—41no—
558C2×C4×D47—22no—
559C2×C4×D47—41no—
560C2×C4×D47—41no—
561C2×Dic94—22no—
562C2×Dic94—41no—
563C2×Dic94—41no—
564C4⋊C4×C47—22no—
565C4⋊C4×C47—22no—
566C4⋊C4×C47—22no—
567C4⋊C4×C47C2×D414yescomplemented
568C22⋊C4×C47—22no—
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—22no—
572C22⋊C4×C47—22no—
573C22⋊C4×C47—22no—
574C22⋊C4×C47C2×D414yes—
575C22⋊C4×C47C2×D414yescomplemented
576C42×C47—22no—
577C42×C47—22no—
578C42×C47—22no—
579C42×C47C2×D414yescomplemented
580C22⋊Dic47—22no—
581C22⋊Dic47—22no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584C22⋊Dic47—22no—
585C22⋊Dic47—22no—
586C22⋊Dic47—22no—
587C22⋊Dic47—22no—
588C22⋊Dic47—22no—
589C22⋊Dic47—22no—
590C22⋊Dic47—22no—
591C22⋊Dic47—41no—
592C22⋊Dic47—41no—
593C22⋊Dic47—41no—
594C22⋊Dic47—41no—
595C22⋊Dic47—41no—
596C22⋊Dic47—41no—
597C22⋊Dic47—41no—
598C22⋊Dic47—41no—
599C22⋊Dic47—41no—
600C22⋊Dic47—41no—
601C22⋊Dic47—41no—
602C22⋊Dic47—41no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—22no—
612(C2×D47)⋊C4—22no—
613(C2×D47)⋊C4—22no—
614(C2×D47)⋊C4—22no—
615(C2×D47)⋊C4—22no—
616(C2×D47)⋊C4—22no—
617(C2×D47)⋊C4—22no—
618(C2×D47)⋊C4—22no—
619(C2×D47)⋊C4—41no—
620(C2×D47)⋊C4—41no—
621(C2×D47)⋊C4—41no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4—41no—
624(C2×D47)⋊C4—41no—
625(C2×D47)⋊C4—41no—
626(C2×D47)⋊C4—41no—
627(C2×D47)⋊C4—41no—
628C4⋊Dic47—22no—
629C4⋊Dic47—41no—
630C4⋊Dic47—41no—
631C4⋊Dic47—41no—
632C4⋊Dic47—41no—
633Dic47⋊C4—22no—
634Dic47⋊C4—22no—
635Dic47⋊C4—22no—
636Dic47⋊C4—22no—
637Dic47⋊C4—22no—
638Dic47⋊C4—22no—
639Dic47⋊C4—41no—
640Dic47⋊C4—41no—
641Dic47⋊C4—41no—
642Dic47⋊C4—41no—
643Dic47⋊C4—41no—
644C4×Dic47—22no—
645C4×Dic47—41no—
646C4×Dic47—41no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—28no—
656C23×C47—28no—
657C23×C47—28no—
658C23×C47—21no—
659C23×C47—21no—
660C23×C47—21no—
661C23×C47—21no—
662C23×C47—21no—
663C23×C47—21no—
664C23×C47—21no—
665C23×C47—21no—
666C23×C47—21no—
667C23×C47—21no—
668C23×C47—21no—
669C23×C47—21no—
670C23×C47—21no—
671C23×C47—21no—
672C23×C47—21no—
673C23×C47—21no—
674C23×C47—21no—
675C23×C47—21no—
676C23×C47—44no—
677C23×C47—44no—
678C23×C47—44no—
679C23×C47—44no—
680C23×C47—44no—
681C23×C47—44no—
682C23×C47—44no—
683C23×C47—44no—
684C23×C47—44no—
685C23×C47—44no—
686C23×C47—44no—
687C23×C47C22×D412yes—
688C23×C47C22×D412yes—
689C23×C47C2×#4112yes—
690C23×C47C2×#4112yes—
691C23×C47C2×#4112yes—
692C23×C47C2×#4112yes—
693C23×C47C2×#4112yes—
694C23×C47H(5,𝔽2)12yes—
695C23×C47H(5,𝔽2)12yes—
696C23×C47C2511yescharacteristic
697C22×D47—21no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—21no—
703C22×D47—21no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—21no—
718C22×D47—44no—
719C22×D47—44no—
720C22×D47—44no—
721C22×D47—82no—
722C22×D47—82no—
723C22×D47—82no—
724C22×D47—82no—
725D4×C47—28no—
726D4×C47—28no—
727D4×C47—28no—
728D4×C47—28no—
729C2×C4×C47—28no—
730C2×C4×C47—28no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—44no—
755C2×C4×C47—44no—
756C2×C4×C47—44no—
757C2×C4×C47—44no—
758C2×C4×C47—44no—
759C2×C4×C47—44no—
760C2×C4×C47—44no—
761C2×C4×C47—44no—
762C2×C4×C47—44no—
763C2×C4×C47—44no—
764C2×C4×C47—44no—
765C2×C4×C47C22×D412yes—
766C2×C4×C47C22×D412yes—
767C2×C4×C47C22×D412yes—
768C2×C4×C47C22×D412yes—
769C2×C4×C47C22×D412yes—
770C2×C4×C47C2×#4112yes—
771C2×C4×C47H(5,𝔽2)12yes—
772C22⋊D47—44no—
773C22⋊D47—44no—
774C22⋊D47—44no—
775C22⋊D47—44no—
776C22⋊D47—44no—
777C22⋊D47—44no—
778C22⋊D47—44no—
779C22⋊D47—82no—
780C22⋊D47—82no—
781C22⋊D47—82no—
782C22⋊D47—82no—
783C22⋊D47—82no—
784C22⋊D47—82no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—21no—
804C2×Dic47—21no—
805C2×Dic47—21no—
806C2×Dic47—21no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—21no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—44no—
825C2×Dic47—82no—
826C2×Dic47—82no—
827D188—82no—
828D188—82no—
829C4×D47—82no—
830Dic94—82no—
831#34990—471nomaximal, Sylow
832C22×C47—22no—
833C22×C47—22no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—22no—
837C22×C47—22no—
838C22×C47—22no—
839C22×C47—22no—
840C22×C47—22no—
841C22×C47—22no—
842C22×C47—22no—
843C22×C47—22no—
844C22×C47—22no—
845C22×C47—22no—
846C22×C47—22no—
847C22×C47—22no—
848C22×C47—22no—
849C22×C47—22no—
850C22×C47—22no—
851C22×C47—22no—
852C22×C47—22no—
853C22×C47—416no—
854C22×C47—416no—
855C22×C47—41no—
856C22×C47—41no—
857C22×C47—41no—
858C22×C47—41no—
859C22×C47—41no—
860C22×C47—41no—
861C22×C47—41no—
862C22×C47—41no—
863C22×C47—41no—
864C22×C47—41no—
865C22×C47—41no—
866C22×C47—41no—
867C22×C47#52514yes—
868C22×C47#53814yescomplemented
869C22×C47C23×D411yescharacteristic
870C22×C47C22×#4111yescharacteristic
871C22×C47C22×#4111yescharacteristic
872C22×C47C2×H(5,𝔽2)11yescharacteristic
873C22×C47C2×H(5,𝔽2)11yescharacteristic
874C22×C47C2×H(5,𝔽2)11yescharacteristic
875C22×C47#58511yescharacteristic
876C2×D47—41no—
877C2×D47—41no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—41no—
882C2×D47—41no—
883C2×D47—41no—
884C2×D47—41no—
885C2×D47—41no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—41no—
897C2×D47—88no—
898C4×C47—22no—
899C4×C47—22no—
900C4×C47—22no—
901C4×C47—22no—
902C4×C47—22no—
903C4×C47—22no—
904C4×C47—22no—
905C4×C47—41no—
906C4×C47—41no—
907C4×C47—41no—
908Dic47—41no—
909Dic47—41no—
910Dic47—41no—
911Dic47—41no—
912Dic47—41no—
913Dic47—41no—
914Dic47—41no—
915Dic47—41no—
916Dic47—41no—
917Dic47—41no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921C2×#538—471no—
922C22×C4×D4D4711yescharacteristic, complemented
923#2852—471no—
924#2850—471no—
925#2849—471no—
926#2847—471no—
927#2636—471no—
928#2635—471no—
929#2631—471no—
930#2630—471no—
931#2481—471no—
932#2472—471no—
933#2467—471no—
934#2459—471no—
935#2456—471no—
936#2456—471no—
937#2450—471no—
938#2444—471no—
939#2443—471no—
940#2437—471no—
941#2424—471no—
942#2424—471no—
943#2418—471no—
944#2410—471no—
945#2410—471no—
946#2403—471no—
947#2325—471no—
948#2321—471no—
949#2318—471no—
950C4×#120—471no—
951C2×#386—471no—
952C2×C47—24no—
953C2×C47—24no—
954C2×C47—42no—
955C2×C47—42no—
956C2×C47—42no—
957C2×C47C2×#52511yescharacteristic
958C2×C47C2×#53811yescharacteristic
959C2×C47#345911yescharacteristic
960C2×C47#348411yescharacteristic
961C2×C47#348811yescharacteristic
962C2×C47#351311yescharacteristic
963C2×C47#351911yescharacteristic
964D47—81no—
965D47—81no—
966D47—81no—
967C23×D4—471no—
968C23×D4C2×D4711yescharacteristic
969C24×C4C2×D4711yescharacteristic
970C24×C4C2×D4711yescharacteristic, complemented
971#538—948no—
972C2×#126—471no—
973C2×#126—471no—
974C2×#124—471no—
975C2×#124—471no—
976C2×#123—471no—
977C2×#123—471no—
978C2×#123—471no—
979C2×C22⋊Q8—471no—
980C2×C22⋊Q8—471no—
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#121—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×#120—471no—
994C2×#120—471no—
995C2×C4×D4—28no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C2×C4×D4C2×D4711yescharacteristic
1000C2×C4×D4C2×D4711yescharacteristic
1001C2×C4×D4C2×D4711yescharacteristic
1002C2×C4×D4C2×D4711yescharacteristic
1003C2×C4×D4C2×D4711yescharacteristic, complemented
1004C2×C4×D4C2×D4711yescharacteristic, complemented
1005C2×C4×D4C2×D4711yescharacteristic, complemented
1006C2×C4×D4C2×D4711yescharacteristic, complemented
1007C22×C4⋊C4C2×D4711yescharacteristic, complemented
1008C22×C22⋊C4—471no—
1009C22×C22⋊C4—471no—
1010C22×C22⋊C4—471no—
1011C22×C22⋊C4C2×D4711yescharacteristic
1012C22×C22⋊C4C2×D4711yescharacteristic, complemented
1013C22×C42C2×D4711yescharacteristic, complemented
1014#400—471no—
1015#400—471no—
1016#399—471no—
1017#399—471no—
1018#398—471no—
1019#397—471no—
1020#397—471no—
1021#397—471no—
1022#396—471no—
1023#396—471no—
1024#396—471no—
1025#396—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394—471no—
1034#394—471no—
1035#393—471no—
1036#393—471no—
1037#392—471no—
1038#392—471no—
1039#392—471no—
1040#392—471no—
1041#392—471no—
1042#392—471no—
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#391—471no—
1047#390—471no—
1048#390—471no—
1049#390—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#388—471no—
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387—471no—
1067#387—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#386—471no—
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386—471no—
1089#386—471no—
1090#386—471no—
1091#386—471no—
1092#386—471no—
1093#386—471no—
1094#386—471no—
1095#386—471no—
1096#385—471no—
1097#385—471no—
1098#385—471no—
1099#385—471no—
1100#385—471no—
1101#385—471no—
1102#385—471no—
1103#385—471no—
1104#385—471no—
1105#385—471no—
1106#385—471no—
1107#385—471no—
1108#383—471no—
1109#382—471no—
1110#381—471no—
1111#381—471no—
1112#380—471no—
1113#380—471no—
1114#380—471no—
1115#380—471no—
1116#379—471no—
1117#379—471no—
1118#379—471no—
1119C4×C22⋊C4—471no—
1120C4×C22⋊C4—471no—
1121C4×C22⋊C4—471no—
1122C2×#95—471no—
1123C2×#95—471no—
1124C47#3499011yescharacteristic, complemented, Sylow
1125C25—471no—
1126C25C22×D4711yescharacteristic
1127C25C22×D4711yescharacteristic
1128C22×Q8—471no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—471no—
1137C22×D4—471no—
1138C22×D4—471no—
1139C22×D4—471no—
1140C22×D4—471no—
1141C22×D4—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—471no—
1146C22×D4—471no—
1147C22×D4—944no—
1148C22×D4—1882no—
1149C22×D4—1882no—
1150C22×D4C22×D4711yescharacteristic
1151C22×D4C22×D4711yescharacteristic
1152C22×D4C22×D4711yescharacteristic
1153C22×D4C22×D4711yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4C22×D4711yescharacteristic
1165C23×C4C22×D4711yescharacteristic
1166C23×C4C22×D4711yescharacteristic
1167C23×C4C22×D4711yescharacteristic
1168C23×C4C22×D4711yescharacteristic
1169C23×C4C22×D4711yescharacteristic
1170C23×C4C22×D4711yescharacteristic
1171C23×C4C22×D4711yescharacteristic
1172C23×C4C22×D4711yescharacteristic
1173C23×C4C22×D4711yescharacteristic
1174C23×C4C22×D4711yescharacteristic
1175C23×C4C22×D4711yescharacteristic
1176C23×C4C22×D4711yescharacteristic
1177#126—944no—
1178#126—944no—
1179#124—944no—
1180#124—944no—
1181#123—944no—
1182#123—944no—
1183#123—1882no—
1184C22⋊Q8—944no—
1185C22⋊Q8—1882no—
1186#121—944no—
1187#121—944no—
1188#121—944no—
1189#121—944no—
1190#121—1882no—
1191#121—1882no—
1192#121—1882no—
1193#120—944no—
1194#120—944no—
1195#120—944no—
1196#120—944no—
1197#120—1882no—
1198#120—1882no—
1199#120—1882no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—944no—
1208C4×D4—1882no—
1209C4×D4—1882no—
1210C4×D4C22⋊D4718yescomplemented
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—471no—
1213C2×C4⋊C4—471no—
1214C2×C4⋊C4—471no—
1215C2×C4⋊C4—471no—
1216C2×C4⋊C4—471no—
1217C2×C4⋊C4—471no—
1218C2×C4⋊C4—471no—
1219C2×C4⋊C4—471no—
1220C2×C4⋊C4—471no—
1221C2×C4⋊C4—471no—
1222C2×C4⋊C4—471no—
1223C2×C4⋊C4—471no—
1224C2×C4⋊C4—471no—
1225C2×C4⋊C4—471no—
1226C2×C4⋊C4—471no—
1227C2×C4⋊C4—471no—
1228C2×C4⋊C4C22×D4711yescharacteristic
1229C2×C4⋊C4C22×D4711yescharacteristic
1230C2×C4⋊C4C22×D4711yescharacteristic
1231C2×C4⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—471no—
1280C2×C22⋊C4—471no—
1281C2×C22⋊C4—471no—
1282C2×C22⋊C4—944no—
1283C2×C22⋊C4—1882no—
1284C2×C22⋊C4—1882no—
1285C2×C22⋊C4C22×D4711yescharacteristic
1286C2×C22⋊C4C22×D4711yescharacteristic
1287C2×C22⋊C4C22×D4711yescharacteristic
1288C2×C22⋊C4C22×D4711yescharacteristic
1289C2×C22⋊C4C22×D4711yescharacteristic
1290C2×C22⋊C4C22×D4711yescharacteristic
1291C2×C22⋊C4C22×D4711yescharacteristic
1292C2×C22⋊C4C22×D4711yescharacteristic
1293C2×C42—24no—
1294C2×C42—471no—
1295C2×C42—471no—
1296C2×C42—471no—
1297C2×C42C22×D4711yescharacteristic
1298C2×C42C22×D4711yescharacteristic
1299C2×C42C22×D4711yescharacteristic
1300C2×C42C22×D4711yescharacteristic
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95—471no—
1314#95—471no—
1315#95—471no—
1316#95—471no—
1317#95—471no—
1318#95—471no—
1319#95—471no—
1320#95—471no—
1321#95—471no—
1322#95—471no—
1323#95—471no—
1324#95—471no—
1325#95—471no—
1326#95—471no—
1327#95—471no—
1328#95—471no—
1329#95—471no—
1330#95—471no—
1331#95—471no—
1332#95—471no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—471no—
1347C24—471no—
1348C24—471no—
1349C24—942no—
1350C24—942no—
1351C24—942no—
1352C24—1881no—
1353C24—1881no—
1354C24—1881no—
1355C24—1881no—
1356C24#1062535014yes—
1357C24C23×D4711yescharacteristic
1358C24C23×D4711yescharacteristic
1359C24C23×D4711yescharacteristic
1360C24C23×D4711yescharacteristic
1361C24C23×D4711yescharacteristic
1362C2×Q8—942no—
1363C2×Q8—1881no—
1364C2×Q8—1881no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—942no—
1387C2×D4—942no—
1388C2×D4—942no—
1389C2×D4—942no—
1390C2×D4—942no—
1391C2×D4—942no—
1392C2×D4—942no—
1393C2×D4—942no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—942no—
1399C2×D4—1881no—
1400C2×D4—1881no—
1401C2×D4—1881no—
1402C2×D4—1881no—
1403C2×D4—1881no—
1404C2×D4—1881no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C2×D4—1881no—
1415C2×D4—1881no—
1416C2×D4—1881no—
1417C2×D4—1881no—
1418C2×D4—1881no—
1419C2×D4—1881no—
1420C2×D4—1881no—
1421C2×D4—18816no—
1422C2×D4#1062535014yes—
1423C2×D4C2×C22⋊D4714yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—471no—
1464C22×C4—471no—
1465C22×C4—471no—
1466C22×C4—471no—
1467C22×C4—471no—
1468C22×C4—471no—
1469C22×C4—471no—
1470C22×C4—471no—
1471C22×C4—471no—
1472C22×C4—471no—
1473C22×C4—471no—
1474C22×C4—471no—
1475C22×C4—471no—
1476C22×C4—942no—
1477C22×C4—942no—
1478C22×C4—942no—
1479C22×C4—942no—
1480C22×C4—1881no—
1481C22×C4—1881no—
1482C22×C4—1881no—
1483C22×C4—1881no—
1484C22×C4—1881no—
1485C22×C4—1881no—
1486C22×C4—1881no—
1487C22×C4—1881no—
1488C22×C4C2×C22⋊D4714yes—
1489C22×C4C2×C22⋊D4714yescomplemented
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C22×C4C23×D4711yescharacteristic
1495C22×C4C23×D4711yescharacteristic
1496C22×C4C23×D4711yescharacteristic
1497C22×C4C23×D4711yescharacteristic
1498C22×C4C23×D4711yescharacteristic
1499C22×C4C23×D4711yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—942no—
1504C4⋊C4—942no—
1505C4⋊C4—942no—
1506C4⋊C4—942no—
1507C4⋊C4—942no—
1508C4⋊C4—942no—
1509C4⋊C4—942no—
1510C4⋊C4—1881no—
1511C4⋊C4—1881no—
1512C4⋊C4—1881no—
1513C4⋊C4—1881no—
1514C4⋊C4—1881no—
1515C4⋊C4—1881no—
1516C4⋊C4—1881no—
1517C4⋊C4—1881no—
1518C4⋊C4—1881no—
1519C4⋊C4C2×C22⋊D4714yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—942no—
1527C22⋊C4—942no—
1528C22⋊C4—942no—
1529C22⋊C4—942no—
1530C22⋊C4—942no—
1531C22⋊C4—942no—
1532C22⋊C4—942no—
1533C22⋊C4—942no—
1534C22⋊C4—942no—
1535C22⋊C4—942no—
1536C22⋊C4—942no—
1537C22⋊C4—942no—
1538C22⋊C4—942no—
1539C22⋊C4—942no—
1540C22⋊C4—942no—
1541C22⋊C4—942no—
1542C22⋊C4—942no—
1543C22⋊C4—942no—
1544C22⋊C4—942no—
1545C22⋊C4—942no—
1546C22⋊C4—942no—
1547C22⋊C4—942no—
1548C22⋊C4—942no—
1549C22⋊C4—942no—
1550C22⋊C4—942no—
1551C22⋊C4—942no—
1552C22⋊C4—942no—
1553C22⋊C4—1881no—
1554C22⋊C4—1881no—
1555C22⋊C4—1881no—
1556C22⋊C4—1881no—
1557C22⋊C4—1881no—
1558C22⋊C4—1881no—
1559C22⋊C4—1881no—
1560C22⋊C4—1881no—
1561C22⋊C4—1881no—
1562C22⋊C4—1881no—
1563C22⋊C4—1881no—
1564C22⋊C4—1881no—
1565C22⋊C4—1881no—
1566C22⋊C4—1881no—
1567C22⋊C4—1881no—
1568C22⋊C4—1881no—
1569C22⋊C4—1881no—
1570C22⋊C4—1881no—
1571C22⋊C4—1881no—
1572C22⋊C4—1881no—
1573C22⋊C4—1881no—
1574C22⋊C4C2×C22⋊D4714yes—
1575C22⋊C4C2×C22⋊D4714yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—942no—
1580C42—1881no—
1581C42—1881no—
1582C42C2×C22⋊D4714yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—941no—
1624C23—941no—
1625C23—941no—
1626C23—941no—
1627C23—941no—
1628C23—941no—
1629C23—941no—
1630C23—941no—
1631C23—941no—
1632C23—941no—
1633C23—941no—
1634C23—941no—
1635C23—941no—
1636C23—941no—
1637C23—941no—
1638C23—941no—
1639C23—941no—
1640C23—941no—
1641C23—941no—
1642C23—941no—
1643C23—941no—
1644C23—3762no—
1645C23—3762no—
1646C23—3762no—
1647C23—3762no—
1648C23—1884no—
1649C23—1884no—
1650C23—1884no—
1651C23C22×C22⋊D4712yes—
1652C23C22×C22⋊D4712yes—
1653C23C2×#1062535012yes—
1654C23C2×#1062535012yes—
1655C23C2×#1062535012yes—
1656C23C2×#1062535012yes—
1657C23C2×#1062535012yes—
1658C23#1309406912yes—
1659C23#1309407012yes—
1660C23C24×D4711yescharacteristic
1661Q8—3762no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—3762no—
1667D4—3762no—
1668D4—3762no—
1669D4—3762no—
1670D4—3762no—
1671D4—3762no—
1672D4—3762no—
1673D4—3762no—
1674D4—1884no—
1675D4—1884no—
1676D4—1884no—
1677D4—1884no—
1678D4—1884no—
1679D4—1884no—
1680D4—1884no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—941no—
1718C2×C4—941no—
1719C2×C4—941no—
1720C2×C4—941no—
1721C2×C4—941no—
1722C2×C4—941no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—941no—
1730C2×C4—941no—
1731C2×C4—941no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—941no—
1748C2×C4—941no—
1749C2×C4—941no—
1750C2×C4—941no—
1751C2×C4—941no—
1752C2×C4—941no—
1753C2×C4—941no—
1754C2×C4—941no—
1755C2×C4—941no—
1756C2×C4—3762no—
1757C2×C4—3762no—
1758C2×C4—3762no—
1759C2×C4—1884no—
1760C2×C4C22×C22⋊D4712yes—
1761C2×C4C22×C22⋊D4712yes—
1762C2×C4C22×C22⋊D4712yes—
1763C2×C4C22×C22⋊D4712yes—
1764C2×C4C22×C22⋊D4712yes—
1765C2×C4C2×#1062535012yes—
1766C2×C4#1309406912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—3768no—
1803C22—1881no—
1804C22—1881no—
1805C22—1881no—
1806C22—1881no—
1807C22—1881no—
1808C22—1881no—
1809C22—1881no—
1810C22—1881no—
1811C22—1881no—
1812C22—1881no—
1813C22—1881no—
1814C22—1881no—
1815C22—1881no—
1816C22—1881no—
1817C22—1881no—
1818C22—1881no—
1819C22—1881no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22#1568963414yes—
1825C22#1568970614yescomplemented
1826C22C23×C22⋊D4711yescharacteristic
1827C22C22×#1062535011yescharacteristic
1828C22C22×#1062535011yescharacteristic
1829C22C2×#1309406911yescharacteristic
1830C22C2×#1309406911yescharacteristic
1831C22C2×#1309407011yescharacteristic
1832C22#1568995911yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1881no—
1844C4—1881no—
1845C4—1881no—
1846C4—1881no—
1847C4—1881no—
1848C4—1881no—
1849C4—1881no—
1850C4—1881no—
1851C4—1881no—
1852C4—1881no—
1853C4—1881no—
1854C4—1881no—
1855C4—1881no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—3761no—
1862C2—3761no—
1863C2—3761no—
1864C2C2×#1568963411yescharacteristic
1865C2C2×#1568970611yescharacteristic
1866C2#2025679711yescharacteristic
1867C2#2025702311yescharacteristic
1868C2#2025705711yescharacteristic
1869C2#2025732811yescharacteristic
1870C2#2025742011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC22×C4×D4×C47C2
hypercenterC22×C4×D4D47
hypocenterC47#34990
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. #20251703C2semidirect
3. #20251689C2semidirect
4. #20251680C2semidirect
5. #20251670C2semidirect
6. #20249283C2semidirect
7. #20249272C2semidirect
8. #20249240C2semidirect
9. #20249225C2semidirect
10. #20247643C2semidirect
11. #20247508C2semidirect
12. #20247433C2semidirect
13. #20247319C2semidirect
14. #20247280C2semidirect
15. #20247274C2semidirect
16. #20247206C2semidirect
17. #20247132C2semidirect
18. #20247123C2semidirect
19. #20247049C2semidirect
20. #20246924C2semidirect
21. #20246918C2semidirect
22. #20246844C2semidirect
23. #20246762C2semidirect
24. #20246756C2semidirect
25. #20246698C2semidirect
26. #20246086C2semidirect
27. #20246042C2semidirect
28. #20246021C2semidirect
29. C4×#13093993C2semidirect
30. C2×#15689002C2semidirect
31. C22×C4×D4×C47C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094018C22semidirect
36. C2×#13094012C22semidirect
37. C2×#13094010C22semidirect
38. C2×#13094009C22semidirect
39. C2×#13094007C22semidirect
40. C2×#13094007C22semidirect
41. C2×#13094003C22semidirect
42. C2×#13094001C22semidirect
45. C2×#13093998C22semidirect
46. C2×#13093998C22semidirect
47. C2×#13093997C22semidirect
50. C2×#13093994C22semidirect
54. C2×#13093993C22semidirect
57. C2×C4×C22⋊D47C22semidirect
58. C2×C4×C22⋊D47C22semidirect
59. C2×C4×C22⋊D47C22semidirect
61. C22×(C2×D47)⋊C4C22semidirect
62. C22×(C2×D47)⋊C4C22semidirect
63. #15689062C22semidirect
64. #15689061C22semidirect
65. #15689059C22semidirect
66. #15689058C22semidirect
67. #15689056C22semidirect
68. #15689051C22semidirect
69. #15689049C22semidirect
70. #15689049C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689046C22semidirect
74. #15689045C22semidirect
75. #15689040C22semidirect
76. #15689039C22semidirect
77. #15689039C22semidirect
78. #15689039C22semidirect
79. #15689038C22semidirect
80. #15689038C22semidirect
81. #15689038C22semidirect
82. #15689037C22semidirect
83. #15689037C22semidirect
84. #15689035C22semidirect
85. #15689035C22semidirect
86. #15689032C22semidirect
87. #15689032C22semidirect
88. #15689032C22semidirect
93. #15689031C22semidirect
94. #15689031C22semidirect
95. #15689029C22semidirect
96. #15689025C22semidirect
97. #15689023C22semidirect
98. #15689023C22semidirect
99. #15689016C22semidirect
100. #15689016C22semidirect
101. #15689014C22semidirect
102. #15689014C22semidirect
103. #15689014C22semidirect
104. #15689014C22semidirect
105. #15689014C22semidirect
106. #15689014C22semidirect
107. #15689014C22semidirect
108. #15689013C22semidirect
109. #15689013C22semidirect
110. #15689011C22semidirect
111. #15689009C22semidirect
112. #15689009C22semidirect
113. #15689007C22semidirect
114. #15689007C22semidirect
115. #15689007C22semidirect
116. #15689004C22semidirect
129. #15689002C22semidirect
130. #15689002C22semidirect
131. #15689002C22semidirect
132. #15689002C22semidirect
133. #15689002C22semidirect
134. #15689002C22semidirect
135. #15689002C22semidirect
136. #15689002C22semidirect
137. #15689002C22semidirect
138. #15689002C22semidirect
139. #15689002C22semidirect
140. #15689002C22semidirect
141. #15689002C22semidirect
142. #15689002C22semidirect
143. #15689000C22semidirect
144. #15688999C22semidirect
145. #15688998C22semidirect
146. #15688998C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
149. #15688996C22semidirect
150. #15688996C22semidirect
151. #15688996C22semidirect
152. #15688996C22semidirect
153. #15688996C22semidirect
154. #15688996C22semidirect
155. #15688995C22semidirect
156. #15688994C22semidirect
157. #15688991C22semidirect
158. #15688989C22semidirect
159. #15688986C22semidirect
160. #15688986C22semidirect
161. #15688983C22semidirect
162. #15688983C22semidirect
163. #15688983C22semidirect
164. #15688981C22semidirect
166. #15688979C22semidirect
167. #15688978C22semidirect
168. C4×C22⋊Dic47C22semidirect
169. C4×C22⋊Dic47C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. C2×C47⋊#95C22semidirect
172. C2×C47⋊#95C22semidirect
175. C24×C4×C47C22semidirect
181. C2×C4×D4×C47C22semidirect
182. C2×C4×D4×C47C22semidirect
183. C2×C4×D4×C47C22semidirect
184. C2×C4×D4×C47C22semidirect
185. C22×C4⋊C4×C47C22semidirect
187. C22×C22⋊C4×C47C22semidirect
188. C22×C42×C47C22semidirect
376. C4×D4×C47D4semidirect
479. C22×C4×C47C2×D4semidirect
567. C4⋊C4×C47C2×D4semidirect
575. C22⋊C4×C47C2×D4semidirect
579. C42×C47C2×D4semidirect
868. C22×C47#538semidirect
922. C22×C4×D4D47semidirect
970. C24×C4C2×D47semidirect
1003. C2×C4×D4C2×D47semidirect
1004. C2×C4×D4C2×D47semidirect
1005. C2×C4×D4C2×D47semidirect
1006. C2×C4×D4C2×D47semidirect
1007. C22×C4⋊C4C2×D47semidirect
1012. C22×C22⋊C4C2×D47semidirect
1013. C22×C42C2×D47semidirect
1124. C47#34990semidirect
1210. C4×D4C22⋊D47semidirect
1489. C22×C4C2×C22⋊D47semidirect
1519. C4⋊C4C2×C22⋊D47semidirect
1575. C22⋊C4C2×C22⋊D47semidirect
1582. C42C2×C22⋊D47semidirect
1825. C22#15689706semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
#202517032
#202516892
#202516802
#202516702
#202492832
#202492722
#202492402
#202492252
#202476432
#202475082
#202474332
#202473192
#202472802
#202472742
#202472062
#202471322
#202471232
#202470492
#202469242
#202469182
#202468442
#202467622
#202467562
#202466982
#202460862
#202460422
#202460212
C4×#130939932
C2×#156890022
C22×C4×D4×C472
#3499047