Finite Group Databasebeta

← #26425560

Subgroups — #26425560

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251701C211yesmaximal, characteristic, complemented
2#20251696C211yesmaximal, characteristic, complemented
3#20251236C211yesmaximal, characteristic, complemented
4#20251097C211yesmaximal, characteristic, complemented
5#20250718C211yesmaximal, characteristic, complemented
6#20250488C211yesmaximal, characteristic, complemented
7#20250443C211yesmaximal, characteristic, complemented
8#20250306C211yesmaximal, characteristic, complemented
9#20250147C211yesmaximal, characteristic, complemented
10#20250138C211yesmaximal, characteristic, complemented
11#20250095C211yesmaximal, characteristic, complemented
12#20250072C211yesmaximal, characteristic, complemented
13#20250065C211yesmaximal, characteristic, complemented
14#20250057C211yesmaximal, characteristic, complemented
15#20249942C211yesmaximal, characteristic, complemented
16#20249912C211yesmaximal, characteristic, complemented
17#20249862C211yesmaximal, characteristic, complemented
18#20249746C211yesmaximal, characteristic, complemented
19#20249196C211yesmaximal, characteristic, complemented
20#20249165C211yesmaximal, characteristic, complemented
21#20247639C211yesmaximal, characteristic, complemented
22#20247534C211yesmaximal, characteristic, complemented
23#20247201C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246848C211yesmaximal, characteristic, complemented
26#20246763C211yesmaximal, characteristic
27#20246715C211yesmaximal, characteristic, complemented
28#20246049C211yesmaximal, characteristic, complemented
29#20246002C211yesmaximal, characteristic, complemented
30C2×#15689023C211yesmaximal, characteristic, complemented
31C47×#2412C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094015C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094008C2211yescharacteristic, complemented
38C2×#13094007C2211yescharacteristic
39C2×#13094007C2211yescharacteristic
40C2×#13094003C2211yescharacteristic
41C2×#13094001C2211yescharacteristic, complemented
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C22×Dic47⋊C4C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×C22⋊Dic47C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C22×C4×Dic47C2211yescharacteristic
53#15689064C2211yescharacteristic, complemented
54#15689060C2211yescharacteristic, complemented
55#15689060C2211yescharacteristic, complemented
56#15689060C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689059C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689054C2211yescharacteristic, complemented
62#15689053C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689050C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689045C2211yescharacteristic, complemented
79#15689044C2211yescharacteristic, complemented
80#15689039C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic, complemented
82#15689039C2211yescharacteristic, complemented
83#15689039C2211yescharacteristic, complemented
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689036C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689035C2211yescharacteristic, complemented
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic
97#15689026C2211yescharacteristic, complemented
98#15689026C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689022C2211yescharacteristic, complemented
108#15689020C2211yescharacteristic, complemented
109#15689020C2211yescharacteristic, complemented
110#15689019C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689010C2211yescharacteristic, complemented
124#15689010C2211yescharacteristic, complemented
125#15689010C2211yescharacteristic, complemented
126#15689010C2211yescharacteristic, complemented
127#15689008C2211yescharacteristic, complemented
128#15689006C2211yescharacteristic, complemented
129#15689006C2211yescharacteristic, complemented
130#15689005C2211yescharacteristic, complemented
131#15689005C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689003C2211yescharacteristic
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic, complemented
136#15689003C2211yescharacteristic, complemented
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic, complemented
142#15688998C2211yescharacteristic
143#15688998C2211yescharacteristic
144#15688998C2211yescharacteristic
145#15688998C2211yescharacteristic
146#15688998C2211yescharacteristic
147#15688998C2211yescharacteristic, complemented
148#15688998C2211yescharacteristic, complemented
149#15688998C2211yescharacteristic, complemented
150#15688998C2211yescharacteristic, complemented
151#15688998C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic
153#15688996C2211yescharacteristic
154#15688995C2211yescharacteristic
155#15688995C2211yescharacteristic
156#15688995C2211yescharacteristic
157#15688995C2211yescharacteristic, complemented
158#15688995C2211yescharacteristic, complemented
159#15688990C2211yescharacteristic, complemented
160#15688988C2211yescharacteristic, complemented
161#15688983C2211yescharacteristic
162#15688983C2211yescharacteristic, complemented
163#15688983C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688983C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688979C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171C22⋊C4×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47—24no—
190C22×C22⋊D47—42no—
191C22×C22⋊D47—42no—
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204#13094019—42no—
205#13094017—42no—
206#13094015—42no—
207#13094014—42no—
208#13094008—42no—
209#13094007—42no—
210#13094007—42no—
211#13094003—42no—
212#13094001—42no—
213#13094001—42no—
214#13093996—42no—
215#13093996—42no—
216#13093992—42no—
217D4×Dic47—42no—
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×Dic47⋊C4—42no—
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×C22⋊Dic47—42no—
250C2×C22⋊Dic47—42no—
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×(C2×D47)⋊C4—42no—
271C2×(C2×D47)⋊C4—42no—
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×C4×Dic47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
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
330C25×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#123×C47—42no—
339#120×C47—24no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47—24no—
345C2×C22⋊C4×C47—42no—
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
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
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—41no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47#4114yes—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C24×C47C2411yescharacteristic
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—416no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C2×Dic94—41no—
473C2×Dic94—41no—
474C2×Dic94—41no—
475C4⋊C4×C47—22no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C4⋊C4×C47—41no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—22no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—22no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535C4⋊Dic47—22no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—28no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—44no—
597C23×C47—44no—
598C23×C47—82no—
599C23×C47—82no—
600C23×C47—82no—
601C23×C47—82no—
602C23×C47C2×#4112yes—
603C23×C47C2×#4112yes—
604C23×C47C2×#4112yes—
605C23×C47H(5,𝔽2)12yes—
606C23×C472−1+412yes—
607C23×C47C2511yescharacteristic
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—82no—
626C22×D47—82no—
627C22×D47—82no—
628C22×D47—82no—
629D4×C47—44no—
630D4×C47—82no—
631D4×C47—82no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—44no—
665C2×C4×C47—82no—
666C2×C4×C47—82no—
667C2×C4×C47—82no—
668C2×C4×C47H(5,𝔽2)12yes—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—82no—
674C22⋊D47—82no—
675C2×Dic47—28no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—44no—
717C2×Dic47—82no—
718C2×Dic47—82no—
719C2×Dic47—82no—
720C2×Dic47—82no—
721C2×Dic47H(5,𝔽2)12yes—
722C2×Dic47H(5,𝔽2)12yes—
723Dic94—82no—
724#36807—471nomaximal, Sylow
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47—41no—
752C22×C47—88no—
753C22×C47#53914yes—
754C22×C47C22×#4111yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×H(5,𝔽2)11yescharacteristic
758C22×C47C2×H(5,𝔽2)11yescharacteristic
759C22×C47C2×2−1+411yescharacteristic
760C22×C47#58511yescharacteristic
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—88no—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787Dic47—22no—
788Dic47—22no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801#2852—471no—
802#2851—471no—
803#2796—471no—
804#2786—471no—
805#2757—471no—
806#2740—471no—
807#2737—471no—
808#2723—471no—
809#2711—471no—
810#2711—471no—
811#2707—471no—
812#2706—471no—
813#2705—471no—
814#2705—471no—
815#2696—471no—
816#2694—471no—
817#2691—471no—
818#2681—471no—
819#2626—471no—
820#2622—471no—
821#2480—471no—
822#2473—471no—
823#2449—471no—
824#2437—471no—
825#2418—471no—
826#2412D4711yescharacteristic, complemented
827#2410—471no—
828#2405—471no—
829#2321—471no—
830#2315—471no—
831C2×#390—471no—
832C2×C47—24no—
833C2×C47—42no—
834C2×C47—42no—
835C2×C47—81no—
836C2×C47C2×#53911yescharacteristic
837C2×C47#349011yescharacteristic
838C2×C47#350511yescharacteristic
839C2×C47#353611yescharacteristic
840C2×C47#354211yescharacteristic
841C2×C47#354311yescharacteristic
842C2×C47#356111yescharacteristic
843D47—81no—
844D47—81no—
845C23×D4—471no—
846C2×#126—471no—
847C2×#126—471no—
848C2×#125—471no—
849C2×#125—471no—
850C2×#123—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123C2×D4711yescharacteristic, complemented
854C2×C22⋊Q8—471no—
855C2×C22⋊Q8—471no—
856C2×C22⋊Q8—471no—
857C2×#121—471no—
858C2×#121—471no—
859C2×#120—471no—
860C2×#120C2×D4711yescharacteristic
861C2×C4×D4—471no—
862C22×C4⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C22⋊C4C2×D4711yescharacteristic
868C22×C22⋊C4C2×D4711yescharacteristic
869C22×C42—471no—
870#400—471no—
871#399—471no—
872#399—471no—
873#399—471no—
874#399—471no—
875#399—471no—
876#398—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397C2×D4711yescharacteristic, complemented
889#397C2×D4711yescharacteristic, complemented
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#395—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394C2×D4711yescharacteristic, complemented
912#394C2×D4711yescharacteristic, complemented
913#393—471no—
914#393—471no—
915#393—471no—
916#392—471no—
917#392—471no—
918#390—471no—
919#390—471no—
920#390—471no—
921#390—471no—
922#390—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#389—471no—
929#389—471no—
930#389—471no—
931#389—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#387—471no—
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#387—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386C2×D4711yescharacteristic
964#386C2×D4711yescharacteristic
965#386C2×D4711yescharacteristic, complemented
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385C2×D4711yescharacteristic, complemented
984#383—471no—
985#382—471no—
986#381C2×D4711yescharacteristic, complemented
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380C2×D4711yescharacteristic
994#380C2×D4711yescharacteristic
995#379—471no—
996#379—471no—
997#379—471no—
998#379—471no—
999C4×C22⋊C4—471no—
1000C47#3680711yescharacteristic, complemented, Sylow
1001C25—471no—
1002C25C22×D4711yescharacteristic
1003C22×Q8—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—944no—
1011C22×D4—1882no—
1012C22×D4—1882no—
1013C22×D4C22×D4711yescharacteristic
1014C22×D4C22×D4711yescharacteristic
1015C22×D4C22×D4711yescharacteristic
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026#126—1882no—
1027#126—1882no—
1028#125—1882no—
1029#125—1882no—
1030#123—42no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034C22⋊Q8—1882no—
1035C22⋊Q8—1882no—
1036C22⋊Q8—1882no—
1037#121—1882no—
1038#121—1882no—
1039#120—24no—
1040#120—1882no—
1041C4×D4—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—1882no—
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4—24no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—1882no—
1121C2×C22⋊C4—1882no—
1122C2×C22⋊C4—1882no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—1882no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24—471no—
1190C24—471no—
1191C24—942no—
1192C24—942no—
1193C24—942no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24—1881no—
1198C24#1062535214yes—
1199C24C23×D4711yescharacteristic
1200C24C23×D4711yescharacteristic
1201C24C23×D4711yescharacteristic
1202C24C23×D4711yescharacteristic
1203C2×Q8—1881no—
1204C2×Q8—1881no—
1205C2×Q8—1881no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—18816no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—942no—
1294C4⋊C4—942no—
1295C4⋊C4—942no—
1296C4⋊C4—942no—
1297C4⋊C4—942no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C42—942no—
1380C42—942no—
1381C42—1881no—
1382C42—1881no—
1383C42—1881no—
1384C42—1881no—
1385C42—1881no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—44no—
1411C23—44no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—1884no—
1435C23—1884no—
1436C23—1884no—
1437C23C2×#1062535212yes—
1438C23C2×#1062535212yes—
1439C23C2×#1062535212yes—
1440C23#1309407012yes—
1441C23#1309407112yes—
1442C23C24×D4711yescharacteristic
1443Q8—3762no—
1444D4—44no—
1445D4—82no—
1446D4—82no—
1447D4—3762no—
1448D4—3762no—
1449D4—1884no—
1450D4—1884no—
1451D4—1884no—
1452D4—1884no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—472no—
1490C2×C4—472no—
1491C2×C4—948no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—3762no—
1533C2×C4—3762no—
1534C2×C4—3762no—
1535C2×C4—3762no—
1536C2×C4—1884no—
1537C2×C4#1309406912yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—3768no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22#1568971714yes—
1582C22C22×#1062535211yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22H(5,𝔽2)×D4711yescharacteristic
1585C22C2×#1309406911yescharacteristic
1586C22C2×#1309407011yescharacteristic
1587C22C2×#1309407111yescharacteristic
1588C22#1568995911yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—942no—
1601C4—942no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—3761no—
1619C2—3761no—
1620C2C2×#1568971711yescharacteristic
1621C2#2025707611yescharacteristic
1622C2#2025722211yescharacteristic
1623C2#2025760311yescharacteristic
1624C2#2025769711yescharacteristic
1625C2#2025772011yescharacteristic
1626C2#2025794611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2412C2
prime radical#20246763C2
hypercenter#2412D47
hypocenterC47#36807
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. #20251701C2semidirect
2. #20251696C2semidirect
3. #20251236C2semidirect
4. #20251097C2semidirect
5. #20250718C2semidirect
6. #20250488C2semidirect
7. #20250443C2semidirect
8. #20250306C2semidirect
9. #20250147C2semidirect
10. #20250138C2semidirect
11. #20250095C2semidirect
12. #20250072C2semidirect
13. #20250065C2semidirect
14. #20250057C2semidirect
15. #20249942C2semidirect
16. #20249912C2semidirect
17. #20249862C2semidirect
18. #20249746C2semidirect
19. #20249196C2semidirect
20. #20249165C2semidirect
21. #20247639C2semidirect
22. #20247534C2semidirect
23. #20247201C2semidirect
24. #20247049C2semidirect
25. #20246848C2semidirect
27. #20246715C2semidirect
28. #20246049C2semidirect
29. #20246002C2semidirect
30. C2×#15689023C2semidirect
31. C47×#2412C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094015C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094008C22semidirect
41. C2×#13094001C22semidirect
42. C2×#13094001C22semidirect
53. #15689064C22semidirect
54. #15689060C22semidirect
55. #15689060C22semidirect
56. #15689060C22semidirect
57. #15689059C22semidirect
58. #15689059C22semidirect
59. #15689057C22semidirect
60. #15689057C22semidirect
61. #15689054C22semidirect
62. #15689053C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689050C22semidirect
67. #15689050C22semidirect
68. #15689050C22semidirect
69. #15689050C22semidirect
70. #15689049C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689046C22semidirect
74. #15689045C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
78. #15689045C22semidirect
79. #15689044C22semidirect
80. #15689039C22semidirect
81. #15689039C22semidirect
82. #15689039C22semidirect
83. #15689039C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
92. #15689036C22semidirect
93. #15689036C22semidirect
94. #15689035C22semidirect
97. #15689026C22semidirect
98. #15689026C22semidirect
107. #15689022C22semidirect
108. #15689020C22semidirect
109. #15689020C22semidirect
110. #15689019C22semidirect
111. #15689017C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689016C22semidirect
115. #15689016C22semidirect
116. #15689016C22semidirect
117. #15689015C22semidirect
118. #15689015C22semidirect
119. #15689015C22semidirect
120. #15689013C22semidirect
121. #15689012C22semidirect
122. #15689011C22semidirect
123. #15689010C22semidirect
124. #15689010C22semidirect
125. #15689010C22semidirect
126. #15689010C22semidirect
127. #15689008C22semidirect
128. #15689006C22semidirect
129. #15689006C22semidirect
130. #15689005C22semidirect
131. #15689005C22semidirect
132. #15689004C22semidirect
135. #15689003C22semidirect
136. #15689003C22semidirect
141. #15689000C22semidirect
147. #15688998C22semidirect
148. #15688998C22semidirect
149. #15688998C22semidirect
150. #15688998C22semidirect
151. #15688998C22semidirect
157. #15688995C22semidirect
158. #15688995C22semidirect
159. #15688990C22semidirect
160. #15688988C22semidirect
162. #15688983C22semidirect
163. #15688983C22semidirect
164. #15688983C22semidirect
165. #15688983C22semidirect
166. #15688981C22semidirect
172. C2×#123×C47C22semidirect
176. C47×#397C22semidirect
177. C47×#397C22semidirect
178. C47×#394C22semidirect
179. C47×#394C22semidirect
182. C47×#386C22semidirect
183. C47×#385C22semidirect
184. C47×#381C22semidirect
826. #2412D47semidirect
853. C2×#123C2×D47semidirect
888. #397C2×D47semidirect
889. #397C2×D47semidirect
911. #394C2×D47semidirect
912. #394C2×D47semidirect
965. #386C2×D47semidirect
983. #385C2×D47semidirect
986. #381C2×D47semidirect
1000. C47#36807semidirect

Maximal subgroups

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

subgroupindex
#202517012
#202516962
#202512362
#202510972
#202507182
#202504882
#202504432
#202503062
#202501472
#202501382
#202500952
#202500722
#202500652
#202500572
#202499422
#202499122
#202498622
#202497462
#202491962
#202491652
#202476392
#202475342
#202472012
#202470492
#202468482
#202467632
#202467152
#202460492
#202460022
C2×#156890232
C47×#24122
#3680747