Finite Group Databasebeta

← #26425593

Subgroups — #26425593

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#20251705C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251243C211yesmaximal, characteristic, complemented
4#20250773C211yesmaximal, characteristic, complemented
5#20250705C211yesmaximal, characteristic, complemented
6#20250660C211yesmaximal, characteristic, complemented
7#20250650C211yesmaximal, characteristic, complemented
8#20250639C211yesmaximal, characteristic, complemented
9#20250605C211yesmaximal, characteristic, complemented
10#20250385C211yesmaximal, characteristic, complemented
11#20250184C211yesmaximal, characteristic, complemented
12#20250179C211yesmaximal, characteristic, complemented
13#20250032C211yesmaximal, characteristic, complemented
14#20249782C211yesmaximal, characteristic, complemented
15#20249776C211yesmaximal, characteristic, complemented
16#20249714C211yesmaximal, characteristic, complemented
17#20249690C211yesmaximal, characteristic, complemented
18#20249611C211yesmaximal, characteristic, complemented
19#20249166C211yesmaximal, characteristic, complemented
20#20249128C211yesmaximal, characteristic, complemented
21#20247649C211yesmaximal, characteristic, complemented
22#20247514C211yesmaximal, characteristic, complemented
23#20247117C211yesmaximal, characteristic, complemented
24#20247054C211yesmaximal, characteristic, complemented
25#20246918C211yesmaximal, characteristic, complemented
26#20246763C211yesmaximal, characteristic, complemented
27#20246763C211yesmaximal, characteristic, complemented
28#20246701C211yesmaximal, characteristic, complemented
29#20245963C211yesmaximal, characteristic, complemented
30C2×#15689023C211yesmaximal, characteristic, complemented
31C47×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C22⋊D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094012C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094007C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic, complemented
40C2×#13094001C2211yescharacteristic, complemented
41C2×#13093998C2211yescharacteristic, complemented
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic, complemented
45C2×#13093996C2211yescharacteristic, complemented
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093992C2211yescharacteristic, complemented
51C2×#13093992C2211yescharacteristic, complemented
52C22×Dic47⋊C4C2211yescharacteristic, complemented
53C22×C22⋊Dic47C2211yescharacteristic
54C22×C22⋊Dic47C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
56C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
57C22×C4×Dic47C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689058C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689049C2211yescharacteristic, complemented
72#15689047C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689041C2211yescharacteristic, complemented
77#15689041C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic, complemented
79#15689041C2211yescharacteristic, complemented
80#15689041C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic, complemented
82#15689040C2211yescharacteristic, complemented
83#15689040C2211yescharacteristic, complemented
84#15689040C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic, complemented
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689035C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic, complemented
100#15689032C2211yescharacteristic, complemented
101#15689032C2211yescharacteristic, complemented
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic, complemented
105#15689031C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689025C2211yescharacteristic, complemented
108#15689025C2211yescharacteristic, complemented
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic, complemented
114#15689023C2211yescharacteristic, complemented
115#15689023C2211yescharacteristic, complemented
116#15689023C2211yescharacteristic, complemented
117#15689023C2211yescharacteristic, complemented
118#15689016C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689015C2211yescharacteristic, complemented
121#15689014C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689014C2211yescharacteristic, complemented
125#15689014C2211yescharacteristic, complemented
126#15689013C2211yescharacteristic, complemented
127#15689012C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689011C2211yescharacteristic, complemented
130#15689009C2211yescharacteristic, complemented
131#15689007C2211yescharacteristic, complemented
132#15689007C2211yescharacteristic, complemented
133#15689007C2211yescharacteristic, complemented
134#15689006C2211yescharacteristic, complemented
135#15689004C2211yescharacteristic, complemented
136#15689003C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic, complemented
138#15689002C2211yescharacteristic
139#15689002C2211yescharacteristic
140#15689002C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic, complemented
143#15689000C2211yescharacteristic
144#15689000C2211yescharacteristic
145#15689000C2211yescharacteristic
146#15689000C2211yescharacteristic
147#15689000C2211yescharacteristic
148#15689000C2211yescharacteristic
149#15689000C2211yescharacteristic, complemented
150#15689000C2211yescharacteristic, complemented
151#15689000C2211yescharacteristic, complemented
152#15689000C2211yescharacteristic, complemented
153#15689000C2211yescharacteristic, complemented
154#15689000C2211yescharacteristic, complemented
155#15688998C2211yescharacteristic, complemented
156#15688998C2211yescharacteristic, complemented
157#15688996C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688995C2211yescharacteristic, complemented
160#15688995C2211yescharacteristic, complemented
161#15688995C2211yescharacteristic, complemented
162#15688990C2211yescharacteristic, complemented
163#15688987C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic, complemented
165#15688984C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172C2×#120×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic, complemented
174C22×C22⋊C4×C47C2211yescharacteristic
175C47×#390C2211yescharacteristic, complemented
176C47×#390C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47—24no—
195C22×C22⋊D47—24no—
196C22×C22⋊D47—42no—
197C22×C22⋊D47—42no—
198C22×C22⋊D47—42no—
199C22×C22⋊D47—42no—
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C23×Dic47C2311yescharacteristic
215C23×Dic47C2311yescharacteristic
216C23×Dic47C2311yescharacteristic
217C23×Dic47C2311yescharacteristic
218#13094019—42no—
219#13094018—42no—
220#13094012—42no—
221#13094010—42no—
222#13094007—42no—
223#13094001—42no—
224#13094001—42no—
225#13093998—42no—
226#13093996—42no—
227#13093996—42no—
228#13093996—42no—
229#13093996—42no—
230#13093994—42no—
231#13093994—42no—
232#13093994—42no—
233#13093994—42no—
234#13093992—42no—
235#13093992—42no—
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×Dic47⋊C4—42no—
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47—42no—
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×(C2×D47)⋊C4—42no—
269C2×(C2×D47)⋊C4—42no—
270C2×(C2×D47)⋊C4C2311yescharacteristic
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×(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×Dic47—42no—
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
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
337C25×C47C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C22×D4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344#120×C47—24no—
345C4×D4×C47—42no—
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47—42no—
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
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×C42×C47C2311yescharacteristic
367C2×C42×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375C24×C47—22no—
376C24×C47—22no—
377C24×C47—41no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47#4114yes—
382C24×C47C2411yescharacteristic
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47—41no—
395C23×D47—41no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2411yescharacteristic
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—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—416no—
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—416no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—41no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×D188—41no—
511C2×D188—41no—
512C2×D188—41no—
513C2×Dic94—22no—
514C2×Dic94—41no—
515C2×Dic94—41no—
516C4⋊C4×C47—41no—
517C4⋊C4×C47—41no—
518C4⋊C4×C47—41no—
519C22⋊C4×C47—22no—
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—
535C42×C47—41no—
536C42×C47—41no—
537C42×C47—41no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—41no—
545C22⋊Dic47—41no—
546C22⋊Dic47—41no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4—41no—
567(C2×D47)⋊C4—41no—
568(C2×D47)⋊C4—41no—
569(C2×D47)⋊C4—41no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊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—
586C4⋊Dic47—22no—
587C4⋊Dic47—41no—
588C4⋊Dic47—41no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603C4×Dic47—22no—
604C4×Dic47—22no—
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—44no—
632C23×C47—44no—
633C23×C47—82no—
634C23×C47—82no—
635C23×C47—82no—
636C23×C47—82no—
637C23×C47C2×#4112yes—
638C23×C47C2×#4112yes—
639C23×C47C2×#4112yes—
640C23×C47H(5,𝔽2)12yes—
641C23×C47H(5,𝔽2)12yes—
642C23×C47C2511yescharacteristic
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×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—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—44no—
675C22×D47—82no—
676C22×D47—82no—
677C22×D47—82no—
678C22×D47—82no—
679C22×D47—82no—
680C22×D47—82no—
681C22×D47—82no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47—82no—
685D4×C47—44no—
686D4×C47—82no—
687D4×C47—82no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—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—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—44no—
722C2×C4×C47—82no—
723C2×C4×C47—82no—
724C22⋊D47—44no—
725C22⋊D47—44no—
726C22⋊D47—44no—
727C22⋊D47—44no—
728C22⋊D47—44no—
729C22⋊D47—44no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C22⋊D47—82no—
733C22⋊D47—82no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C2×Dic47—28no—
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—44no—
771C2×Dic47—44no—
772C2×Dic47—82no—
773C2×Dic47—82no—
774C2×Dic47—82no—
775C2×Dic47H(5,𝔽2)12yes—
776C2×Dic47H(5,𝔽2)12yes—
777C2×Dic47H(5,𝔽2)12yes—
778D188—82no—
779D188—82no—
780D188—82no—
781D188—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—88no—
812C22×C47#53814yes—
813C22×C47C22×#4111yescharacteristic
814C22×C47C2×H(5,𝔽2)11yescharacteristic
815C22×C47C2×H(5,𝔽2)11yescharacteristic
816C22×C47C2×H(5,𝔽2)11yescharacteristic
817C22×C47C2×H(5,𝔽2)11yescharacteristic
818C22×C47C2×H(5,𝔽2)11yescharacteristic
819C22×C47#58511yescharacteristic
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—41no—
826C2×D47—41no—
827C2×D47—41no—
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—88no—
849C2×D47—88no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861Dic47—22no—
862Dic47—22no—
863Dic47—22no—
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#2321D4711yescharacteristic, complemented
902#2308—471no—
903C2×#390—471no—
904C2×C47—24no—
905C2×C47—42no—
906C2×C47—42no—
907C2×C47—81no—
908C2×C47C2×#53811yescharacteristic
909C2×C47#349011yescharacteristic
910C2×C47#350511yescharacteristic
911C2×C47#353711yescharacteristic
912C2×C47#354211yescharacteristic
913C2×C47#354311yescharacteristic
914C2×C47#355811yescharacteristic
915D47—81no—
916D47—81no—
917D47—81no—
918D47—81no—
919C23×D4—471no—
920C23×D4—471no—
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×#120C2×D4711yescharacteristic
940C2×C4×D4C2×D4711yescharacteristic, complemented
941C22×C4⋊C4—471no—
942C22×C22⋊C4—471no—
943C22×C22⋊C4—471no—
944C22×C22⋊C4—471no—
945C22×C22⋊C4—471no—
946C22×C22⋊C4C2×D4711yescharacteristic
947C22×C42—471no—
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#390—471no—
1003#390—471no—
1004#390—471no—
1005#390—471no—
1006#390—471no—
1007#390—471no—
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#388C2×D4711yescharacteristic, complemented
1023#388C2×D4711yescharacteristic, complemented
1024#388C2×D4711yescharacteristic, complemented
1025#388C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic, complemented
1052#386C2×D4711yescharacteristic, complemented
1053#386C2×D4711yescharacteristic, complemented
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385C2×D4711yescharacteristic, complemented
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#379C2×D4711yescharacteristic
1073C4×C22⋊C4C2×D4711yescharacteristic, complemented
1074C47#3680811yescharacteristic, complemented, Sylow
1075C25—471no—
1076C25—471no—
1077C25C22×D4711yescharacteristic
1078C22×Q8—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
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—944no—
1096C22×D4—944no—
1097C22×D4—1882no—
1098C22×D4—1882no—
1099C22×D4—1882no—
1100C22×D4—1882no—
1101C22×D4C22×D4711yescharacteristic
1102C22×D4C22×D4711yescharacteristic
1103C22×D4C22×D4711yescharacteristic
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—471no—
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—24no—
1126#120—1882no—
1127#120—1882no—
1128#120—1882no—
1129#120—1882no—
1130#120—1882no—
1131#120—1882no—
1132C4×D4—42no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×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⋊C4—1882no—
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊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—1882no—
1204C2×C22⋊C4—1882no—
1205C2×C22⋊C4—1882no—
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—471no—
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—1882no—
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#95C22×D4711yescharacteristic
1258#95C22×D4711yescharacteristic
1259#95C22×D4711yescharacteristic
1260#95C22×D4711yescharacteristic
1261#95C22×D4711yescharacteristic
1262#95C22×D4711yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—471no—
1270C24—471no—
1271C24—471no—
1272C24—471no—
1273C24—942no—
1274C24—942no—
1275C24—942no—
1276C24—942no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24—1881no—
1281C24—1881no—
1282C24—1881no—
1283C24—1881no—
1284C24—1881no—
1285C24—1881no—
1286C24—1881no—
1287C24#1062535014yes—
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—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—942no—
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—1881no—
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—18816no—
1353C2×D4—18816no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—1881no—
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×C4C23×D4711yescharacteristic
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—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—942no—
1411C4⋊C4—942no—
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—22no—
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—1881no—
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—41no—
1489C42—41no—
1490C42—41no—
1491C42—942no—
1492C42—942no—
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—44no—
1520C23—44no—
1521C23—82no—
1522C23—82no—
1523C23—82no—
1524C23—82no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
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—3762no—
1554C23—3762no—
1555C23—3762no—
1556C23—3762no—
1557C23—3762no—
1558C23—3762no—
1559C23—3762no—
1560C23—3762no—
1561C23—3762no—
1562C23—3762no—
1563C23—1884no—
1564C23—1884no—
1565C23—1884no—
1566C23—1884no—
1567C23C2×#1062535012yes—
1568C23C2×#1062535012yes—
1569C23C2×#1062535012yes—
1570C23#1309406912yes—
1571C23#1309407012yes—
1572C23C24×D4711yescharacteristic
1573Q8—3762no—
1574D4—44no—
1575D4—82no—
1576D4—82no—
1577D4—3762no—
1578D4—3762no—
1579D4—3762no—
1580D4—3762no—
1581D4—3762no—
1582D4—3762no—
1583D4—3762no—
1584D4—3762no—
1585D4—1884no—
1586D4—1884no—
1587D4—1884no—
1588D4—1884no—
1589D4—1884no—
1590D4—1884no—
1591D4—1884no—
1592D4—1884no—
1593C2×C4—21no—
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—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—44no—
1627C2×C4—82no—
1628C2×C4—82no—
1629C2×C4—472no—
1630C2×C4—472no—
1631C2×C4—472no—
1632C2×C4—948no—
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—941no—
1665C2×C4—941no—
1666C2×C4—3762no—
1667C2×C4—3762no—
1668C2×C4—3762no—
1669C2×C4—1884no—
1670C2×C4—1884no—
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—88no—
1699C22—3768no—
1700C22—3768no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
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
1731C22H(5,𝔽2)×D4711yescharacteristic
1732C22H(5,𝔽2)×D4711yescharacteristic
1733C22H(5,𝔽2)×D4711yescharacteristic
1734C22C2×#1309406911yescharacteristic
1735C22C2×#1309407011yescharacteristic
1736C22#1568995811yescharacteristic
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—942no—
1749C4—942no—
1750C4—942no—
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—3761no—
1765C2—3761no—
1766C2—3761no—
1767C2—3761no—
1768C2C2×#1568970611yescharacteristic
1769C2#2025707311yescharacteristic
1770C2#2025721811yescharacteristic
1771C2#2025762011yescharacteristic
1772C2#2025769111yescharacteristic
1773C2#2025771511yescharacteristic
1774C2#2025790911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2321C2
hypercenter#2321D47
hypocenterC47#36808
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #20251705C2semidirect
2. #20251685C2semidirect
3. #20251243C2semidirect
4. #20250773C2semidirect
5. #20250705C2semidirect
6. #20250660C2semidirect
7. #20250650C2semidirect
8. #20250639C2semidirect
9. #20250605C2semidirect
10. #20250385C2semidirect
11. #20250184C2semidirect
12. #20250179C2semidirect
13. #20250032C2semidirect
14. #20249782C2semidirect
15. #20249776C2semidirect
16. #20249714C2semidirect
17. #20249690C2semidirect
18. #20249611C2semidirect
19. #20249166C2semidirect
20. #20249128C2semidirect
21. #20247649C2semidirect
22. #20247514C2semidirect
23. #20247117C2semidirect
24. #20247054C2semidirect
25. #20246918C2semidirect
26. #20246763C2semidirect
27. #20246763C2semidirect
28. #20246701C2semidirect
29. #20245963C2semidirect
30. C2×#15689023C2semidirect
31. C47×#2321C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094018C22semidirect
36. C2×#13094012C22semidirect
37. C2×#13094010C22semidirect
38. C2×#13094007C22semidirect
39. C2×#13094001C22semidirect
40. C2×#13094001C22semidirect
41. C2×#13093998C22semidirect
44. C2×#13093996C22semidirect
45. C2×#13093996C22semidirect
50. C2×#13093992C22semidirect
51. C2×#13093992C22semidirect
52. C22×Dic47⋊C4C22semidirect
55. C22×(C2×D47)⋊C4C22semidirect
56. C22×(C2×D47)⋊C4C22semidirect
57. C22×C4×Dic47C22semidirect
58. #15689064C22semidirect
59. #15689064C22semidirect
60. #15689059C22semidirect
61. #15689058C22semidirect
62. #15689054C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689050C22semidirect
70. #15689049C22semidirect
71. #15689049C22semidirect
72. #15689047C22semidirect
73. #15689046C22semidirect
74. #15689046C22semidirect
75. #15689045C22semidirect
76. #15689041C22semidirect
77. #15689041C22semidirect
78. #15689041C22semidirect
79. #15689041C22semidirect
80. #15689041C22semidirect
81. #15689041C22semidirect
82. #15689040C22semidirect
83. #15689040C22semidirect
84. #15689040C22semidirect
85. #15689039C22semidirect
88. #15689038C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
93. #15689036C22semidirect
94. #15689035C22semidirect
99. #15689032C22semidirect
100. #15689032C22semidirect
101. #15689032C22semidirect
104. #15689031C22semidirect
105. #15689031C22semidirect
106. #15689027C22semidirect
107. #15689025C22semidirect
108. #15689025C22semidirect
113. #15689023C22semidirect
114. #15689023C22semidirect
115. #15689023C22semidirect
116. #15689023C22semidirect
117. #15689023C22semidirect
118. #15689016C22semidirect
119. #15689015C22semidirect
120. #15689015C22semidirect
121. #15689014C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
124. #15689014C22semidirect
125. #15689014C22semidirect
126. #15689013C22semidirect
127. #15689012C22semidirect
128. #15689012C22semidirect
129. #15689011C22semidirect
130. #15689009C22semidirect
131. #15689007C22semidirect
132. #15689007C22semidirect
133. #15689007C22semidirect
134. #15689006C22semidirect
135. #15689004C22semidirect
136. #15689003C22semidirect
137. #15689003C22semidirect
142. #15689002C22semidirect
149. #15689000C22semidirect
150. #15689000C22semidirect
151. #15689000C22semidirect
152. #15689000C22semidirect
153. #15689000C22semidirect
154. #15689000C22semidirect
155. #15688998C22semidirect
156. #15688998C22semidirect
157. #15688996C22semidirect
158. #15688995C22semidirect
159. #15688995C22semidirect
160. #15688995C22semidirect
161. #15688995C22semidirect
162. #15688990C22semidirect
163. #15688987C22semidirect
164. #15688984C22semidirect
165. #15688984C22semidirect
166. #15688981C22semidirect
167. #15688981C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. #15688978C22semidirect
173. C2×C4×D4×C47C22semidirect
175. C47×#390C22semidirect
176. C47×#390C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#385C22semidirect
186. C4×C22⋊C4×C47C22semidirect
901. #2321D47semidirect
940. C2×C4×D4C2×D47semidirect
1008. #390C2×D47semidirect
1009. #390C2×D47semidirect
1022. #388C2×D47semidirect
1023. #388C2×D47semidirect
1024. #388C2×D47semidirect
1025. #388C2×D47semidirect
1051. #386C2×D47semidirect
1052. #386C2×D47semidirect
1053. #386C2×D47semidirect
1061. #385C2×D47semidirect
1073. C4×C22⋊C4C2×D47semidirect
1074. C47#36808semidirect

Maximal subgroups

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

subgroupindex
#202517052
#202516852
#202512432
#202507732
#202507052
#202506602
#202506502
#202506392
#202506052
#202503852
#202501842
#202501792
#202500322
#202497822
#202497762
#202497142
#202496902
#202496112
#202491662
#202491282
#202476492
#202475142
#202471172
#202470542
#202469182
#202467632
#202467012
#202459632
C2×#156890232
C47×#23212
#3680847