Finite Group Databasebeta

← #26425605

Subgroups — #26425605

Order 12032.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251703C211yesmaximal, characteristic, complemented
2#20251689C211yesmaximal, characteristic, complemented
3#20251239C211yesmaximal, characteristic, complemented
4#20250769C211yesmaximal, characteristic, complemented
5#20250710C211yesmaximal, characteristic, complemented
6#20250665C211yesmaximal, characteristic, complemented
7#20250650C211yesmaximal, characteristic, complemented
8#20250635C211yesmaximal, characteristic, complemented
9#20250609C211yesmaximal, characteristic, complemented
10#20250380C211yesmaximal, characteristic, complemented
11#20250184C211yesmaximal, characteristic, complemented
12#20250179C211yesmaximal, characteristic, complemented
13#20250028C211yesmaximal, characteristic, complemented
14#20249780C211yesmaximal, characteristic, complemented
15#20249774C211yesmaximal, characteristic, complemented
16#20249710C211yesmaximal, characteristic, complemented
17#20249686C211yesmaximal, characteristic, complemented
18#20249611C211yesmaximal, characteristic, complemented
19#20249161C211yesmaximal, characteristic, complemented
20#20249122C211yesmaximal, characteristic, complemented
21#20247643C211yesmaximal, characteristic, complemented
22#20247508C211yesmaximal, characteristic, complemented
23#20247123C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246924C211yesmaximal, characteristic, complemented
26#20246762C211yesmaximal, characteristic, complemented
27#20246756C211yesmaximal, characteristic, complemented
28#20246698C211yesmaximal, characteristic, complemented
29#20246046C211yesmaximal, characteristic, complemented
30#20245963C211yesmaximal, characteristic, complemented
31C2×C47×#390C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094018C2211yescharacteristic, complemented
35C2×#13094012C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094003C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic, complemented
40C2×#13093998C2211yescharacteristic
41C2×#13093998C2211yescharacteristic
42C2×#13093997C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic, complemented
44C2×#13093996C2211yescharacteristic, complemented
45C2×#13093994C2211yescharacteristic, complemented
46C2×#13093993C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×#13093993C2211yescharacteristic, complemented
50C2×#13093992C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic, complemented
53C22×C22⋊Dic47C2211yescharacteristic
54#15689062C2211yescharacteristic, complemented
55#15689061C2211yescharacteristic, complemented
56#15689059C2211yescharacteristic, complemented
57#15689058C2211yescharacteristic, complemented
58#15689056C2211yescharacteristic, complemented
59#15689051C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689049C2211yescharacteristic, complemented
65#15689049C2211yescharacteristic, complemented
66#15689048C2211yescharacteristic, complemented
67#15689048C2211yescharacteristic, complemented
68#15689046C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689040C2211yescharacteristic, complemented
73#15689039C2211yescharacteristic, complemented
74#15689039C2211yescharacteristic, complemented
75#15689039C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic, complemented
77#15689039C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic
88#15689037C2211yescharacteristic
89#15689035C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic, complemented
91#15689032C2211yescharacteristic, complemented
92#15689032C2211yescharacteristic, complemented
93#15689032C2211yescharacteristic, complemented
94#15689032C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689031C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689029C2211yescharacteristic, complemented
103#15689025C2211yescharacteristic, complemented
104#15689023C2211yescharacteristic, complemented
105#15689023C2211yescharacteristic, complemented
106#15689023C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689014C2211yescharacteristic, complemented
115#15689014C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic, complemented
124#15689009C2211yescharacteristic, complemented
125#15689009C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689007C2211yescharacteristic, complemented
128#15689007C2211yescharacteristic, complemented
129#15689004C2211yescharacteristic, complemented
130#15689003C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15689003C2211yescharacteristic, complemented
133#15689003C2211yescharacteristic, complemented
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689002C2211yescharacteristic
140#15689002C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic, complemented
143#15689002C2211yescharacteristic, complemented
144#15689000C2211yescharacteristic, complemented
145#15689000C2211yescharacteristic, complemented
146#15689000C2211yescharacteristic, complemented
147#15689000C2211yescharacteristic, complemented
148#15689000C2211yescharacteristic, complemented
149#15688999C2211yescharacteristic, complemented
150#15688999C2211yescharacteristic, complemented
151#15688999C2211yescharacteristic, complemented
152#15688998C2211yescharacteristic, complemented
153#15688998C2211yescharacteristic, complemented
154#15688996C2211yescharacteristic, complemented
155#15688996C2211yescharacteristic, complemented
156#15688996C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688994C2211yescharacteristic, complemented
160#15688991C2211yescharacteristic, complemented
161#15688989C2211yescharacteristic, complemented
162#15688984C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172C23×D4×C47C2211yescharacteristic
173C22×C4⋊C4×C47C2211yescharacteristic, complemented
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic, complemented
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C22×C42×C47C2211yescharacteristic, complemented
179C47×#390C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#390C2211yescharacteristic
182C47×#390C2211yescharacteristic
183C47×#390C2211yescharacteristic, complemented
184C47×#390C2211yescharacteristic, complemented
185C47×#390C2211yescharacteristic, complemented
186C47×#390C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
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
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094018—42no—
213#13094012—42no—
214#13094010—42no—
215#13094009—42no—
216#13094003—42no—
217#13094001—42no—
218#13093998—42no—
219#13093998—42no—
220#13093997—42no—
221#13093996—42no—
222#13093996—42no—
223#13093994—42no—
224#13093993—24no—
225#13093993—42no—
226#13093993—42no—
227#13093993—42no—
228#13093992—42no—
229#13093992—42no—
230C4×C22⋊D47—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×C22⋊Dic47—42no—
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
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
331C25×C47C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×D4×C47—24no—
334C22×D4×C47—42no—
335C22×D4×C47—42no—
336C22×D4×C47C2311yescharacteristic
337C22×D4×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47—42no—
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47—42no—
351C2×C22⋊C4×C47—42no—
352C2×C22⋊C4×C47—42no—
353C2×C22⋊C4×C47—42no—
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C42×C47—42no—
371C2×C42×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373C2×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—22no—
378C24×C47—22no—
379C24×C47—22no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47—41no—
383C24×C47—41no—
384C24×C47—41no—
385C24×C47—41no—
386C24×C47—41no—
387C24×C47—41no—
388C24×C47#4114yes—
389C24×C47C2411yescharacteristic
390C24×C47C2411yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47—41no—
416C2×D4×C47—416no—
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—22no—
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—41no—
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
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—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47—41no—
461C2×C22⋊D47—41no—
462C2×C22⋊D47—41no—
463C2×C22⋊D47—41no—
464C2×C22⋊D47—41no—
465C2×C22⋊D47—41no—
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⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—416no—
482C22×Dic47—22no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C2×D188—22no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×Dic94—22no—
514C2×Dic94—41no—
515C2×Dic94—41no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—41no—
519C4⋊C4×C47—41no—
520C22⋊C4×C47—22no—
521C22⋊C4×C47—22no—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—41no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47—41no—
527C22⋊C4×C47—41no—
528C22⋊C4×C47—41no—
529C22⋊C4×C47—41no—
530C22⋊C4×C47—41no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C22⋊C4×C47—41no—
536C42×C47—22no—
537C42×C47—22no—
538C42×C47—41no—
539C42×C47—41no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47—41no—
553C22⋊Dic47—41no—
554C22⋊Dic47—41no—
555C22⋊Dic47—41no—
556C22⋊Dic47—41no—
557C22⋊Dic47—41no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊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)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588C4⋊Dic47—41no—
589C4⋊Dic47—41no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592C4⋊Dic47—41no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604C4×Dic47—41no—
605C4×Dic47—41no—
606C4×Dic47—41no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
623C23×C47—28no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—44no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—82no—
644C23×C47—82no—
645C23×C47—82no—
646C23×C47—82no—
647C23×C47—82no—
648C23×C47—82no—
649C23×C47—82no—
650C23×C47—82no—
651C23×C47C2×#4112yes—
652C23×C47C2×#4112yes—
653C23×C47C2×#4112yes—
654C23×C47H(5,𝔽2)12yes—
655C23×C47H(5,𝔽2)12yes—
656C23×C47C2511yescharacteristic
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—44no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47—82no—
685D4×C47—44no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—44no—
689C2×C4×C47—28no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—44no—
718C2×C4×C47—44no—
719C2×C4×C47—82no—
720C2×C4×C47—82no—
721C2×C4×C47H(5,𝔽2)12yes—
722C2×C4×C47H(5,𝔽2)12yes—
723C2×C4×C47H(5,𝔽2)12yes—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—82no—
730C22⋊D47—82no—
731C22⋊D47—82no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C22⋊D47—82no—
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×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—44no—
777C2×Dic47—82no—
778C2×Dic47—82no—
779D188—82no—
780D188—82no—
781C4×D47—82no—
782Dic94—82no—
783#36808—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—88no—
819C22×C47—88no—
820C22×C47#53814yes—
821C22×C47C22×#4111yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47C2×H(5,𝔽2)11yescharacteristic
825C22×C47C2×H(5,𝔽2)11yescharacteristic
826C22×C47C2×H(5,𝔽2)11yescharacteristic
827C22×C47#58511yescharacteristic
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—88no—
850C4×C47—22no—
851C4×C47—22no—
852C4×C47—22no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873#2852—471no—
874#2850—471no—
875#2797—471no—
876#2761—471no—
877#2756—471no—
878#2753—471no—
879#2752—471no—
880#2751—471no—
881#2749—471no—
882#2730—471no—
883#2714—471no—
884#2714—471no—
885#2703—471no—
886#2685—471no—
887#2685—471no—
888#2678—471no—
889#2676—471no—
890#2670—471no—
891#2622—471no—
892#2617—471no—
893#2481—471no—
894#2472—471no—
895#2443—471no—
896#2437—471no—
897#2424—471no—
898#2410—471no—
899#2410—471no—
900#2403—471no—
901#2321—471no—
902#2308—471no—
903C2×#390D4711yescharacteristic, complemented
904C2×C47—24no—
905C2×C47—42no—
906C2×C47—42no—
907C2×C47—81no—
908C2×C47—81no—
909C2×C47C2×#53811yescharacteristic
910C2×C47#349011yescharacteristic
911C2×C47#350511yescharacteristic
912C2×C47#353711yescharacteristic
913C2×C47#354211yescharacteristic
914C2×C47#354311yescharacteristic
915C2×C47#355811yescharacteristic
916D47—81no—
917D47—81no—
918D47—81no—
919C23×D4—471no—
920C23×D4C2×D4711yescharacteristic
921C2×#126—471no—
922C2×#126—471no—
923C2×#124—471no—
924C2×#124—471no—
925C2×#123—471no—
926C2×C22⋊Q8—471no—
927C2×C22⋊Q8—471no—
928C2×#121—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#120—471no—
934C2×#120—471no—
935C2×#120—471no—
936C2×#120—471no—
937C2×#120—471no—
938C2×#120—471no—
939C2×#120—471no—
940C2×C4×D4—471no—
941C22×C4⋊C4C2×D4711yescharacteristic, complemented
942C22×C22⋊C4—471no—
943C22×C22⋊C4C2×D4711yescharacteristic
944C22×C22⋊C4C2×D4711yescharacteristic
945C22×C22⋊C4C2×D4711yescharacteristic, complemented
946C22×C22⋊C4C2×D4711yescharacteristic, complemented
947C22×C42C2×D4711yescharacteristic, complemented
948#400—471no—
949#400—471no—
950#399—471no—
951#399—471no—
952#398—471no—
953#397—471no—
954#397—471no—
955#397—471no—
956#397—471no—
957#397—471no—
958#397—471no—
959#397—471no—
960#397—471no—
961#397—471no—
962#396—471no—
963#396—471no—
964#396—471no—
965#396—471no—
966#394—471no—
967#394—471no—
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#394—471no—
981#394—471no—
982#394—471no—
983#393—471no—
984#393—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392—471no—
990#392—471no—
991#392—471no—
992#392—471no—
993#392—471no—
994#392—471no—
995#392—471no—
996#391—471no—
997#390—471no—
998#390—471no—
999#390—471no—
1000#390—471no—
1001#390—471no—
1002#390C2×D4711yescharacteristic
1003#390C2×D4711yescharacteristic
1004#390C2×D4711yescharacteristic
1005#390C2×D4711yescharacteristic
1006#390C2×D4711yescharacteristic, complemented
1007#390C2×D4711yescharacteristic, complemented
1008#390C2×D4711yescharacteristic, complemented
1009#390C2×D4711yescharacteristic, complemented
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#388—471no—
1018#388—471no—
1019#388—471no—
1020#388—471no—
1021#388—471no—
1022#388—471no—
1023#388—471no—
1024#388—471no—
1025#388—471no—
1026#387—471no—
1027#387—471no—
1028#387—471no—
1029#387—471no—
1030#387—471no—
1031#387—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386—471no—
1043#386—471no—
1044#386—471no—
1045#386—471no—
1046#386—471no—
1047#386—471no—
1048#386—471no—
1049#386—471no—
1050#386—471no—
1051#386—471no—
1052#386—471no—
1053#386—471no—
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385—471no—
1062#383—471no—
1063#382—471no—
1064#381—471no—
1065#381—471no—
1066#380—471no—
1067#380—471no—
1068#379—471no—
1069#379—471no—
1070#379—471no—
1071#379—471no—
1072#379—471no—
1073C4×C22⋊C4—471no—
1074C47#3680811yescharacteristic, complemented, Sylow
1075C25—471no—
1076C25C22×D4711yescharacteristic
1077C25C22×D4711yescharacteristic
1078C22×Q8—471no—
1079C22×D4—24no—
1080C22×D4—42no—
1081C22×D4—42no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—471no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—944no—
1098C22×D4—1882no—
1099C22×D4—1882no—
1100C22×D4C22×D4711yescharacteristic
1101C22×D4C22×D4711yescharacteristic
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4C22×D4711yescharacteristic
1109C23×C4C22×D4711yescharacteristic
1110C23×C4C22×D4711yescharacteristic
1111C23×C4C22×D4711yescharacteristic
1112C23×C4C22×D4711yescharacteristic
1113#126—1882no—
1114#126—1882no—
1115#124—1882no—
1116#124—1882no—
1117#123—1882no—
1118C22⋊Q8—1882no—
1119C22⋊Q8—1882no—
1120#121—1882no—
1121#121—1882no—
1122#121—1882no—
1123#121—1882no—
1124#121—1882no—
1125#120—944no—
1126#120—1882no—
1127#120—1882no—
1128#120—1882no—
1129#120—1882no—
1130#120—1882no—
1131#120—1882no—
1132C4×D4—1882no—
1133C2×C4⋊C4—42no—
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×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4C22×D4711yescharacteristic
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—42no—
1156C2×C22⋊C4—42no—
1157C2×C22⋊C4—42no—
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⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—1882no—
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C22⋊C4C22×D4711yescharacteristic
1210C2×C22⋊C4C22×D4711yescharacteristic
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C42—42no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42C22×D4711yescharacteristic
1228C2×C42C22×D4711yescharacteristic
1229C2×C42C22×D4711yescharacteristic
1230C2×C42C22×D4711yescharacteristic
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#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95—471no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—471no—
1277C24—471no—
1278C24—471no—
1279C24—942no—
1280C24—1881no—
1281C24—1881no—
1282C24—1881no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24#1062535014yes—
1287C24C23×D4711yescharacteristic
1288C24C23×D4711yescharacteristic
1289C24C23×D4711yescharacteristic
1290C24C23×D4711yescharacteristic
1291C24C23×D4711yescharacteristic
1292C2×Q8—942no—
1293C2×Q8—1881no—
1294C2×Q8—1881no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—416no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—1881no—
1323C2×D4—1881no—
1324C2×D4—1881no—
1325C2×D4—1881no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4—1881no—
1353C2×D4—18816no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—471no—
1377C22×C4—471no—
1378C22×C4—471no—
1379C22×C4—471no—
1380C22×C4—471no—
1381C22×C4—471no—
1382C22×C4—942no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4C23×D4711yescharacteristic
1395C22×C4C23×D4711yescharacteristic
1396C22×C4C23×D4711yescharacteristic
1397C22×C4C23×D4711yescharacteristic
1398C22×C4C23×D4711yescharacteristic
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—942no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C4⋊C4—1881no—
1420C4⋊C4—1881no—
1421C4⋊C4—1881no—
1422C4⋊C4—1881no—
1423C4⋊C4—1881no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C22⋊C4—1881no—
1468C22⋊C4—1881no—
1469C22⋊C4—1881no—
1470C22⋊C4—1881no—
1471C22⋊C4—1881no—
1472C22⋊C4—1881no—
1473C22⋊C4—1881no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C42—22no—
1489C42—22no—
1490C42—41no—
1491C42—41no—
1492C42—1881no—
1493C42—1881no—
1494C42—1881no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—82no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
1559C23—941no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—3762no—
1564C23—3762no—
1565C23—3762no—
1566C23—1884no—
1567C23C2×#1062535012yes—
1568C23C2×#1062535012yes—
1569C23C2×#1062535012yes—
1570C23#1309406912yes—
1571C23#1309407012yes—
1572C23C24×D4711yescharacteristic
1573Q8—3762no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—3762no—
1579D4—3762no—
1580D4—3762no—
1581D4—3762no—
1582D4—3762no—
1583D4—3762no—
1584D4—3762no—
1585D4—3762no—
1586D4—3762no—
1587D4—3762no—
1588D4—1884no—
1589D4—1884no—
1590D4—1884no—
1591D4—1884no—
1592D4—1884no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—82no—
1624C2×C4—82no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—3762no—
1665C2×C4—3762no—
1666C2×C4—3762no—
1667C2×C4—1884no—
1668C2×C4#1309406912yes—
1669C2×C4#1309406912yes—
1670C2×C4#1309406912yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—88no—
1706C22—88no—
1707C22—3768no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22—1881no—
1713C22—1881no—
1714C22—1881no—
1715C22—1881no—
1716C22—1881no—
1717C22—1881no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22#1568970614yes—
1730C22C22×#1062535011yescharacteristic
1731C22C2×#1309406911yescharacteristic
1732C22C2×#1309406911yescharacteristic
1733C22C2×#1309406911yescharacteristic
1734C22C2×#1309406911yescharacteristic
1735C22C2×#1309407011yescharacteristic
1736C22#1568995911yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—1881no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2C2×#1568970611yescharacteristic
1769C2#2025707711yescharacteristic
1770C2#2025722711yescharacteristic
1771C2#2025762311yescharacteristic
1772C2#2025770811yescharacteristic
1773C2#2025772111yescharacteristic
1774C2#2025790711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#390C2
hypercenterC2×#390D47
hypocenterC47#36808
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
1. #20251703C2semidirect
2. #20251689C2semidirect
3. #20251239C2semidirect
4. #20250769C2semidirect
5. #20250710C2semidirect
6. #20250665C2semidirect
7. #20250650C2semidirect
8. #20250635C2semidirect
9. #20250609C2semidirect
10. #20250380C2semidirect
11. #20250184C2semidirect
12. #20250179C2semidirect
13. #20250028C2semidirect
14. #20249780C2semidirect
15. #20249774C2semidirect
16. #20249710C2semidirect
17. #20249686C2semidirect
18. #20249611C2semidirect
19. #20249161C2semidirect
20. #20249122C2semidirect
21. #20247643C2semidirect
22. #20247508C2semidirect
23. #20247123C2semidirect
24. #20247049C2semidirect
25. #20246924C2semidirect
26. #20246762C2semidirect
27. #20246756C2semidirect
28. #20246698C2semidirect
29. #20246046C2semidirect
30. #20245963C2semidirect
31. C2×C47×#390C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094018C22semidirect
35. C2×#13094012C22semidirect
36. C2×#13094010C22semidirect
37. C2×#13094009C22semidirect
38. C2×#13094003C22semidirect
39. C2×#13094001C22semidirect
42. C2×#13093997C22semidirect
43. C2×#13093996C22semidirect
44. C2×#13093996C22semidirect
45. C2×#13093994C22semidirect
49. C2×#13093993C22semidirect
52. C2×C4×C22⋊D47C22semidirect
54. #15689062C22semidirect
55. #15689061C22semidirect
56. #15689059C22semidirect
57. #15689058C22semidirect
58. #15689056C22semidirect
59. #15689051C22semidirect
60. #15689051C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689049C22semidirect
65. #15689049C22semidirect
66. #15689048C22semidirect
67. #15689048C22semidirect
68. #15689046C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689045C22semidirect
72. #15689040C22semidirect
73. #15689039C22semidirect
74. #15689039C22semidirect
75. #15689039C22semidirect
76. #15689039C22semidirect
77. #15689039C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
80. #15689038C22semidirect
81. #15689038C22semidirect
82. #15689038C22semidirect
83. #15689038C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
89. #15689035C22semidirect
90. #15689035C22semidirect
91. #15689032C22semidirect
92. #15689032C22semidirect
93. #15689032C22semidirect
94. #15689032C22semidirect
95. #15689032C22semidirect
102. #15689029C22semidirect
103. #15689025C22semidirect
104. #15689023C22semidirect
105. #15689023C22semidirect
106. #15689023C22semidirect
107. #15689023C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689016C22semidirect
111. #15689016C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
114. #15689014C22semidirect
115. #15689014C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689013C22semidirect
120. #15689013C22semidirect
121. #15689011C22semidirect
122. #15689011C22semidirect
123. #15689011C22semidirect
124. #15689009C22semidirect
125. #15689009C22semidirect
126. #15689007C22semidirect
127. #15689007C22semidirect
128. #15689007C22semidirect
129. #15689004C22semidirect
132. #15689003C22semidirect
133. #15689003C22semidirect
142. #15689002C22semidirect
143. #15689002C22semidirect
144. #15689000C22semidirect
145. #15689000C22semidirect
146. #15689000C22semidirect
147. #15689000C22semidirect
148. #15689000C22semidirect
149. #15688999C22semidirect
150. #15688999C22semidirect
151. #15688999C22semidirect
152. #15688998C22semidirect
153. #15688998C22semidirect
154. #15688996C22semidirect
155. #15688996C22semidirect
156. #15688996C22semidirect
157. #15688996C22semidirect
158. #15688995C22semidirect
159. #15688994C22semidirect
160. #15688991C22semidirect
161. #15688989C22semidirect
162. #15688984C22semidirect
163. #15688984C22semidirect
164. #15688983C22semidirect
165. #15688981C22semidirect
167. #15688979C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. C4×C22⋊Dic47C22semidirect
173. C22×C4⋊C4×C47C22semidirect
176. C22×C22⋊C4×C47C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C22×C42×C47C22semidirect
183. C47×#390C22semidirect
184. C47×#390C22semidirect
185. C47×#390C22semidirect
186. C47×#390C22semidirect
903. C2×#390D47semidirect
941. C22×C4⋊C4C2×D47semidirect
945. C22×C22⋊C4C2×D47semidirect
946. C22×C22⋊C4C2×D47semidirect
947. C22×C42C2×D47semidirect
1006. #390C2×D47semidirect
1007. #390C2×D47semidirect
1008. #390C2×D47semidirect
1009. #390C2×D47semidirect
1074. C47#36808semidirect

Maximal subgroups

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

subgroupindex
#202517032
#202516892
#202512392
#202507692
#202507102
#202506652
#202506502
#202506352
#202506092
#202503802
#202501842
#202501792
#202500282
#202497802
#202497742
#202497102
#202496862
#202496112
#202491612
#202491222
#202476432
#202475082
#202471232
#202470492
#202469242
#202467622
#202467562
#202466982
#202460462
#202459632
C2×C47×#3902
#3680847