Finite Group Databasebeta

← #26388846

Subgroups — #26388846

Order 12032.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689684C211yesmaximal, characteristic
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251712C211yesmaximal, characteristic, complemented
4#20251712C211yesmaximal, characteristic, complemented
5#20251683C211yesmaximal, characteristic, complemented
6#20251681C211yesmaximal, characteristic, complemented
7#20249175C211yesmaximal, characteristic, complemented
8#20249169C211yesmaximal, characteristic, complemented
9#20249162C211yesmaximal, characteristic, complemented
10#20249162C211yesmaximal, characteristic, complemented
11#20247143C211yesmaximal, characteristic, complemented
12#20247139C211yesmaximal, characteristic, complemented
13#20247137C211yesmaximal, characteristic, complemented
14#20247133C211yesmaximal, characteristic, complemented
15#20247128C211yesmaximal, characteristic, complemented
16#20247124C211yesmaximal, characteristic, complemented
17#20247122C211yesmaximal, characteristic, complemented
18#20247118C211yesmaximal, characteristic, complemented
19#20246869C211yesmaximal, characteristic, complemented
20#20246865C211yesmaximal, characteristic, complemented
21#20246861C211yesmaximal, characteristic, complemented
22#20246856C211yesmaximal, characteristic, complemented
23#20246852C211yesmaximal, characteristic, complemented
24#20246848C211yesmaximal, characteristic, complemented
25#20246844C211yesmaximal, characteristic, complemented
26#20246001C211yesmaximal, characteristic, complemented
27#20245965C211yesmaximal, characteristic, complemented
28#20245962C211yesmaximal, characteristic, complemented
29C2×#15689001C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2419C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic, complemented
36#15689684—28no—
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094009C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic, complemented
41C2×#13094008C2211yescharacteristic, complemented
42C2×#13094007C2211yescharacteristic
43C2×#13094007C2211yescharacteristic, complemented
44C2×#13093999C2211yescharacteristic
45C2×#13093999C2211yescharacteristic
46C2×#13093997C2211yescharacteristic
47C2×#13093997C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093994C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×C4×D188C2211yescharacteristic, complemented
53C2×D4×Dic47C2211yescharacteristic
54C2×#13093986C2211yescharacteristic, complemented
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic, complemented
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
59C4×D4×D47—28no—
60C2×C4⋊C4×D47C2211yescharacteristic, complemented
61C2×C4⋊C4×D47C2211yescharacteristic, complemented
62C2×C4⋊C4×D47C2211yescharacteristic, complemented
63C22×(C2×D47)⋊C4C2211yescharacteristic
64C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
65C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic, complemented
70C2×C42×D47C2211yescharacteristic, complemented
71#15689064C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689062C2211yescharacteristic, complemented
74#15689060C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic, complemented
76#15689058C2211yescharacteristic, complemented
77#15689058C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689053C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689052C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689052C2211yescharacteristic, complemented
85#15689051C2211yescharacteristic, complemented
86#15689051C2211yescharacteristic, complemented
87#15689050C2211yescharacteristic, complemented
88#15689050C2211yescharacteristic, complemented
89#15689050C2211yescharacteristic, complemented
90#15689049C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic, complemented
93#15689040C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689038C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic, complemented
99#15689015C2211yescharacteristic, complemented
100#15689015C2211yescharacteristic, complemented
101#15689014C2211yescharacteristic, complemented
102#15689014C2211yescharacteristic, complemented
103#15689013C2211yescharacteristic, complemented
104#15689013C2211yescharacteristic, complemented
105#15689012C2211yescharacteristic, complemented
106#15689012C2211yescharacteristic, complemented
107#15689006C2211yescharacteristic, complemented
108#15689006C2211yescharacteristic, complemented
109#15689005C2211yescharacteristic, complemented
110#15689005C2211yescharacteristic, complemented
111#15689004C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic, complemented
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic, complemented
126#15689001C2211yescharacteristic, complemented
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic, complemented
140#15688998C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688994C2211yescharacteristic, complemented
158#15688986C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688985C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#397C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#381C2211yescharacteristic, complemented
186C47×#381C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×D188—24no—
193C22×D188—24no—
194C22×D188—24no—
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C2×D4×D47—24no—
207C2×D4×D47—24no—
208C2×D4×D47D418yes—
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C22×C4×D47—24no—
213C22×C4×D47—24no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47—42no—
217C22×C4×D47—42no—
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231#13094009—24no—
232#13094009—24no—
233#13094009—42no—
234#13094009—42no—
235#13094008—42no—
236#13094007—24no—
237#13094007—42no—
238#13093999—24no—
239#13093999—24no—
240#13093997—24no—
241#13093997—24no—
242#13093994—24no—
243#13093994—24no—
244#13093994—24no—
245#13093992—24no—
246C4×D188—24no—
247D4×Dic47—24no—
248#13093986—24no—
249C4×C22⋊D47—24no—
250C4×C22⋊D47—24no—
251(C22⋊D47)⋊C4—24no—
252(C22⋊D47)⋊C4—24no—
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C4⋊C4×D47—24no—
271C4⋊C4×D47—42no—
272C4⋊C4×D47—42no—
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×(C2×D47)⋊C4—24no—
280C2×(C2×D47)⋊C4—42no—
281C2×(C2×D47)⋊C4—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C22⋊C4×D47—24no—
321C22⋊C4×D47—24no—
322C22⋊C4×D47—24no—
323C22⋊C4×D47—24no—
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C42×D47—24no—
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360C4×D4×C47—24no—
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47—41no—
402C23×D47—41no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47C2×D414yes—
411C23×D47C2×D414yes—
412C23×D47#4114yes—
413C23×D47#4114yes—
414C23×D47C2411yescharacteristic
415C23×D47C2411yescharacteristic
416C23×D47C2411yescharacteristic
417C23×D47C2411yescharacteristic
418C23×D47C2411yescharacteristic
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47C2×D414yes—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—41no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47C2×D414yes—
458C2×C22⋊D47C2×D414yes—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479D4×D47—232no—
480C2×D188—22no—
481C2×D188—22no—
482C2×D188—22no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—416no—
497C2×D188—41no—
498C2×D188—41no—
499C2×D188—41no—
500C2×D188—41no—
501C2×D188C2×D414yes—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—416no—
523C2×C4×D47—416no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47—41no—
536C2×C4×D47—41no—
537C2×C4×D47—41no—
538C2×C4×D47—41no—
539C2×C4×D47—41no—
540C2×C4×D47—41no—
541C2×C4×D47—41no—
542C2×C4×D47C2×D414yes—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47—22no—
546C4⋊C4×C47—22no—
547C4⋊C4×C47—41no—
548C4⋊C4×C47—41no—
549C4⋊C4×C47—41no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—22no—
555C22⋊C4×C47—22no—
556C22⋊C4×C47—41no—
557C22⋊C4×C47—41no—
558C42×C47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
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—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
596(C2×D47)⋊C4—41no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603C4⋊Dic47—22no—
604C4⋊Dic47—22no—
605C4⋊Dic47—41no—
606C4⋊Dic47—41no—
607C4⋊Dic47—41no—
608Dic47⋊C4—22no—
609Dic47⋊C4—22no—
610Dic47⋊C4—22no—
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—41no—
615Dic47⋊C4—41no—
616Dic47⋊C4—41no—
617Dic47⋊C4—41no—
618Dic47⋊C4—41no—
619Dic47⋊C4—41no—
620C4×Dic47—22no—
621C4×Dic47—22no—
622C4×Dic47—22no—
623C23×C47—21no—
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×C47C22×D412yes—
634C23×C47C22×D412yes—
635C23×C47C2×#4112yes—
636C23×C47C2×#4112yes—
637C23×C47C2511yescharacteristic
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—28no—
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—44no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—44no—
675C22×D47—44no—
676C22×D47—44no—
677C22×D47—44no—
678C22×D47—44no—
679C22×D47—44no—
680C22×D47—44no—
681C22×D47—44no—
682C22×D47—82no—
683C22×D47—82no—
684C22×D47—82no—
685C22×D47—82no—
686C22×D47#123116yescomplemented
687C22×D47C22×D412yes—
688C22×D47C22×D412yes—
689C22×D47C22×D412yes—
690C22×D47C2×#4112yes—
691C22×D47C2×#4112yes—
692C22×D47C2×#4112yes—
693C22×D47C2×#4112yes—
694D4×C47—28no—
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—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—44no—
733C2×C4×C47—44no—
734C2×C4×C47—44no—
735C2×C4×C47—82no—
736C2×C4×C47C22×D412yes—
737C2×C4×C47H(5,𝔽2)12yes—
738C22⋊D47—28no—
739C22⋊D47—28no—
740C22⋊D47—82no—
741C22⋊D47—82no—
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—44no—
774C2×Dic47—44no—
775C2×Dic47—82no—
776C2×Dic47C22×D412yes—
777C2×Dic47H(5,𝔽2)12yes—
778D188—28no—
779D188—44no—
780D188—44no—
781D188—44no—
782D188—44no—
783D188—82no—
784D188—82no—
785C4×D47—28no—
786C4×D47—28no—
787C4×D47—44no—
788C4×D47—44no—
789C4×D47—44no—
790C4×D47—44no—
791C4×D47—44no—
792C4×D47—44no—
793C4×D47—44no—
794C4×D47—44no—
795C4×D47—44no—
796C4×D47—82no—
797C4×D47—82no—
798#34983—471nomaximal, Sylow
799C22×C47—22no—
800C22×C47—22no—
801C22×C47—22no—
802C22×C47—22no—
803C22×C47—22no—
804C22×C47—22no—
805C22×C47—22no—
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47C2×#12314yes—
813C22×C47C23×D411yescharacteristic
814C22×C47C22×#4111yescharacteristic
815C22×C47C22×#4111yescharacteristic
816C22×C47C2×H(5,𝔽2)11yescharacteristic
817C22×C47C2×H(5,𝔽2)11yescharacteristic
818C22×C47#58511yescharacteristic
819C22×C47#58511yescharacteristic
820C2×D47—22no—
821C2×D47—22no—
822C2×D47—22no—
823C2×D47—22no—
824C2×D47—22no—
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—22no—
831C2×D47—22no—
832C2×D47—22no—
833C2×D47—22no—
834C2×D47—22no—
835C2×D47—416no—
836C2×D47—416no—
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—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—88no—
856C2×D47C2×#12314yes—
857C2×D47C2×#12314yes—
858C4×C47—22no—
859C4×C47—22no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869C4×C47—41no—
870C4×C47—41no—
871Dic47—22no—
872Dic47—22no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882C2×#534—471no—
883C22×C4×D4—471no—
884#2853—471no—
885#2853—471no—
886#2849—471no—
887#2849—471no—
888#2623—471no—
889#2623—471no—
890#2622—471no—
891#2622—471no—
892#2444—471no—
893#2444—471no—
894#2444—471no—
895#2444—471no—
896#2443—471no—
897#2443—471no—
898#2443—471no—
899#2443—471no—
900#2419—471no—
901#2419—471no—
902#2419—471no—
903#2419D4711yescharacteristic, complemented
904#2418—471no—
905#2418—471no—
906#2418—471no—
907#2418—471no—
908#2315—471no—
909#2308—471no—
910#2308—471no—
911C2×#386—471no—
912C2×#385—471no—
913C2×C47—24no—
914C2×C47—42no—
915C2×C47C22×#12311yescharacteristic
916C2×C47#345911yescharacteristic
917C2×C47#345911yescharacteristic
918C2×C47#348411yescharacteristic
919C2×C47#348511yescharacteristic
920C2×C47#350511yescharacteristic
921C2×C47#350511yescharacteristic
922D47—24no—
923D47—24no—
924D47—42no—
925D47—81no—
926D47—81no—
927C23×D4—471no—
928C23×D4—471no—
929C24×C4—471no—
930C24×C4—471no—
931#534—948no—
932C2×#123—471no—
933C2×#123—471no—
934C2×#123—471no—
935C2×#123—471no—
936C2×#123—471no—
937C2×#123—471no—
938C2×#123—471no—
939C2×#123C2×D4711yescharacteristic
940C2×#121—471no—
941C2×#121—471no—
942C2×#121—471no—
943C2×#121—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×#120—471no—
947C2×#120—471no—
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4—471no—
953C2×C4×D4—471no—
954C2×C4×D4—471no—
955C2×C4×D4—948no—
956C2×C4×D4C2×D4711yescharacteristic
957C22×C4⋊C4—471no—
958C22×C4⋊C4—471no—
959C22×C4⋊C4—471no—
960C22×C22⋊C4—471no—
961C22×C22⋊C4—471no—
962C22×C22⋊C4—471no—
963C22×C22⋊C4—471no—
964C22×C22⋊C4—471no—
965C22×C22⋊C4—471no—
966C22×C22⋊C4—471no—
967C22×C42—471no—
968#400—471no—
969#400—471no—
970#400—471no—
971#400C2×D4711yescharacteristic, complemented
972#399—471no—
973#399—471no—
974#399—471no—
975#399—471no—
976#398—471no—
977#398—471no—
978#398—471no—
979#398C2×D4711yescharacteristic, complemented
980#397—471no—
981#397—471no—
982#397—471no—
983#397—471no—
984#397—471no—
985#397—471no—
986#397—471no—
987#397—471no—
988#397—471no—
989#397—471no—
990#397C2×D4711yescharacteristic, complemented
991#397C2×D4711yescharacteristic, complemented
992#394—471no—
993#394—471no—
994#394—471no—
995#394—471no—
996#394—471no—
997#394—471no—
998#394—471no—
999#394—471no—
1000#388—471no—
1001#388—471no—
1002#388—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#387—471no—
1009#387—471no—
1010#387—471no—
1011#387—471no—
1012#387—471no—
1013#387—471no—
1014#387C2×D4711yescharacteristic, complemented
1015#387C2×D4711yescharacteristic, complemented
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—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#386C2×D4711yescharacteristic
1044#385—471no—
1045#385—471no—
1046#385—471no—
1047#385—471no—
1048#385—471no—
1049#385—471no—
1050#385—471no—
1051#385—471no—
1052#385—471no—
1053#385—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#385C2×D4711yescharacteristic, complemented
1063#385C2×D4711yescharacteristic, complemented
1064#381—471no—
1065#381—471no—
1066#381—471no—
1067#381—471no—
1068#381—471no—
1069#381—471no—
1070#381C2×D4711yescharacteristic, complemented
1071#381C2×D4711yescharacteristic, complemented
1072#380—471no—
1073#380—471no—
1074#380—471no—
1075#380C2×D4711yescharacteristic, complemented
1076#379—471no—
1077#379—471no—
1078#379—471no—
1079#379—471no—
1080C2×#95—471no—
1081C2×#95—471no—
1082C2×#95—471no—
1083C2×#95C2×D4711yescharacteristic, complemented
1084C47#3498311yescharacteristic, complemented, Sylow
1085C25—471no—
1086C25—471no—
1087C25—471no—
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—478no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—471no—
1100C22×D4—944no—
1101C22×D4—944no—
1102C22×D4—944no—
1103C22×D4—944no—
1104C22×D4—944no—
1105C22×D4C22×D4711yescharacteristic
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—471no—
1110C23×C4—471no—
1111C23×C4—471no—
1112C23×C4—471no—
1113C23×C4—471no—
1114C23×C4—471no—
1115C23×C4—471no—
1116C23×C4—471no—
1117C23×C4—471no—
1118C23×C4—471no—
1119C23×C4—471no—
1120C23×C4—471no—
1121C23×C4—471no—
1122C23×C4—944no—
1123C23×C4—944no—
1124C23×C4—1882no—
1125C23×C4—1882no—
1126C23×C4—1882no—
1127C23×C4—1882no—
1128C23×C4C22×D4711yescharacteristic
1129C23×C4C22×D4711yescharacteristic
1130C23×C4C22×D4711yescharacteristic
1131C23×C4C22×D4711yescharacteristic
1132#123—24no—
1133#123—944no—
1134#123—944no—
1135#123—944no—
1136#123—1882no—
1137#123—1882no—
1138#123—1882no—
1139#123—1882no—
1140#121—944no—
1141#121—944no—
1142#121—944no—
1143#121—944no—
1144#120—944no—
1145#120—944no—
1146#120—944no—
1147#120—944no—
1148C4×D4—24no—
1149C4×D4—944no—
1150C4×D4—944no—
1151C4×D4—944no—
1152C4×D4—944no—
1153C4×D4—944no—
1154C4×D4—944no—
1155C4×D4—944no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4—471no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—471no—
1173C2×C4⋊C4—944no—
1174C2×C4⋊C4—1882no—
1175C2×C4⋊C4—1882no—
1176C2×C4⋊C4C22×D4711yescharacteristic
1177C2×C4⋊C4C22×D4711yescharacteristic
1178C2×C4⋊C4C22×D4711yescharacteristic
1179C2×C4⋊C4C22×D4711yescharacteristic
1180C2×C4⋊C4C22×D4711yescharacteristic
1181C2×C4⋊C4C22×D4711yescharacteristic
1182C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—944no—
1228C2×C22⋊C4—944no—
1229C2×C22⋊C4—944no—
1230C2×C22⋊C4—944no—
1231C2×C22⋊C4—944no—
1232C2×C22⋊C4—1882no—
1233C2×C22⋊C4—1882no—
1234C2×C22⋊C4C22×D4711yescharacteristic
1235C2×C22⋊C4C22×D4711yescharacteristic
1236C2×C22⋊C4C22×D4711yescharacteristic
1237C2×C22⋊C4C22×D4711yescharacteristic
1238C2×C22⋊C4C22×D4711yescharacteristic
1239C2×C22⋊C4C22×D4711yescharacteristic
1240C2×C22⋊C4C22×D4711yescharacteristic
1241C2×C22⋊C4C22×D4711yescharacteristic
1242C2×C42—471no—
1243C2×C42—471no—
1244C2×C42—471no—
1245C2×C42—944no—
1246C2×C42C22×D4711yescharacteristic
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—
1263#95—471no—
1264#95—471no—
1265#95—471no—
1266#95—471no—
1267#95—471no—
1268#95—471no—
1269#95—471no—
1270#95—471no—
1271#95—471no—
1272#95—471no—
1273#95C22×D4711yescharacteristic
1274#95C22×D4711yescharacteristic
1275#95C22×D4711yescharacteristic
1276#95C22×D4711yescharacteristic
1277#95C22×D4711yescharacteristic
1278#95C22×D4711yescharacteristic
1279#95C22×D4711yescharacteristic
1280#95C22×D4711yescharacteristic
1281#95C22×D4711yescharacteristic
1282#95C22×D4711yescharacteristic
1283#95C22×D4711yescharacteristic
1284#95C22×D4711yescharacteristic
1285#95C22×D4711yescharacteristic
1286#95C22×D4711yescharacteristic
1287C24—471no—
1288C24—471no—
1289C24—474no—
1290C24—474no—
1291C24—474no—
1292C24—471no—
1293C24—474no—
1294C24—471no—
1295C24—471no—
1296C24—942no—
1297C24—942no—
1298C24—942no—
1299C24—942no—
1300C24—942no—
1301C24—1881no—
1302C24—1881no—
1303C24—1881no—
1304C24—1881no—
1305C24—1881no—
1306C24—1881no—
1307C24—1881no—
1308C24—1881no—
1309C24—1881no—
1310C24—1881no—
1311C24—1881no—
1312C24—1881no—
1313C24C23×D4711yescharacteristic
1314C24C23×D4711yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—474no—
1318C2×D4—474no—
1319C2×D4—474no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—942no—
1329C2×D4—942no—
1330C2×D4—942no—
1331C2×D4—942no—
1332C2×D4—942no—
1333C2×D4—942no—
1334C2×D4—942no—
1335C2×D4—942no—
1336C2×D4—9432no—
1337C2×D4—942no—
1338C2×D4—942no—
1339C2×D4—942no—
1340C2×D4—942no—
1341C2×D4—942no—
1342C2×D4—942no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C2×D4—18816no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—1881no—
1352C2×D4D4×D4714yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—474no—
1368C22×C4—471no—
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—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—942no—
1386C22×C4—942no—
1387C22×C4—942no—
1388C22×C4—942no—
1389C22×C4—942no—
1390C22×C4—942no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—942no—
1394C22×C4—942no—
1395C22×C4—942no—
1396C22×C4—942no—
1397C22×C4—942no—
1398C22×C4—942no—
1399C22×C4—942no—
1400C22×C4—942no—
1401C22×C4—942no—
1402C22×C4—1881no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—1881no—
1409C22×C4—1881no—
1410C22×C4—1881no—
1411C22×C4—1881no—
1412C22×C4—1881no—
1413C22×C4—1881no—
1414C22×C4—1881no—
1415C22×C4—1881no—
1416C22×C4—1881no—
1417C22×C4—1881no—
1418C22×C4—1881no—
1419C22×C4—1881no—
1420C22×C4—18816no—
1421C22×C4—18816no—
1422C22×C4—1881no—
1423C22×C4—1881no—
1424C22×C4—1881no—
1425C22×C4—1881no—
1426C22×C4C23×D4711yescharacteristic
1427C22×C4C23×D4711yescharacteristic
1428C22×C4C23×D4711yescharacteristic
1429C22×C4C23×D4711yescharacteristic
1430C22×C4C23×D4711yescharacteristic
1431C22×C4C23×D4711yescharacteristic
1432C22×C4C23×D4711yescharacteristic
1433C22×C4C23×D4711yescharacteristic
1434C22×C4C23×D4711yescharacteristic
1435C22×C4C23×D4711yescharacteristic
1436C22×C4C23×D4711yescharacteristic
1437C22×C4C23×D4711yescharacteristic
1438C22×C4C23×D4711yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—942no—
1447C4⋊C4—942no—
1448C4⋊C4—942no—
1449C4⋊C4—942no—
1450C4⋊C4—942no—
1451C4⋊C4—942no—
1452C4⋊C4—942no—
1453C4⋊C4—942no—
1454C4⋊C4—1881no—
1455C4⋊C4—1881no—
1456C4⋊C4—1881no—
1457C4⋊C4—1881no—
1458C4⋊C4—1881no—
1459C4⋊C4—1881no—
1460C4⋊C4—1881no—
1461C4⋊C4—1881no—
1462C4⋊C4—1881no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—942no—
1476C22⋊C4—942no—
1477C22⋊C4—942no—
1478C22⋊C4—942no—
1479C22⋊C4—942no—
1480C22⋊C4—942no—
1481C22⋊C4—942no—
1482C22⋊C4—942no—
1483C22⋊C4—942no—
1484C22⋊C4—942no—
1485C22⋊C4—942no—
1486C22⋊C4—942no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—1881no—
1498C22⋊C4—1881no—
1499C22⋊C4—1881no—
1500C22⋊C4—1881no—
1501C22⋊C4—1881no—
1502C22⋊C4—1881no—
1503C22⋊C4—1881no—
1504C22⋊C4—1881no—
1505C22⋊C4—1881no—
1506C22⋊C4—1881no—
1507C22⋊C4—1881no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C42—22no—
1516C42—942no—
1517C42—942no—
1518C42—942no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—472no—
1530C23—472no—
1531C23—472no—
1532C23—472no—
1533C23—472no—
1534C23—472no—
1535C23—4716no—
1536C23—472no—
1537C23—948no—
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—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
1559C23—941no—
1560C23—941no—
1561C23—941no—
1562C23—941no—
1563C23—941no—
1564C23—941no—
1565C23—941no—
1566C23—3762no—
1567C23—3762no—
1568C23—3762no—
1569C23—3762no—
1570C23—1884no—
1571C23—1884no—
1572C23—1884no—
1573C23—1884no—
1574C23—1884no—
1575C23—1884no—
1576C23—1884no—
1577C23—1884no—
1578C23—1884no—
1579C23—1884no—
1580C23—1884no—
1581C23—1884no—
1582C23—1884no—
1583C23—1884no—
1584C23—1884no—
1585C23C2×D4×D4712yes—
1586C23C2×D4×D4712yes—
1587C23#41×D4712yes—
1588C23#41×D4712yes—
1589C23C24×D4711yescharacteristic
1590D4—28no—
1591D4—948no—
1592D4—948no—
1593D4—948no—
1594D4—3762no—
1595D4—3762no—
1596D4—3762no—
1597D4—3762no—
1598D4—1884no—
1599D4—1884no—
1600D4—1884no—
1601D4—1884no—
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—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—472no—
1644C2×C4—472no—
1645C2×C4—948no—
1646C2×C4—948no—
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—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—3762no—
1679C2×C4—3762no—
1680C2×C4—3762no—
1681C2×C4—1884no—
1682C2×C4—1884no—
1683C2×C4—1884no—
1684C2×C4—1884no—
1685C2×C4—1884no—
1686C2×C4—1884no—
1687C2×C4—1884no—
1688C2×C4—1884no—
1689C2×C4—1884no—
1690C2×C4—1884no—
1691C2×C4—1884no—
1692C2×C4C2×D4×D4712yes—
1693C2×C4#1309407012yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—474no—
1708C22—474no—
1709C22—942no—
1710C22—942no—
1711C22—942no—
1712C22—942no—
1713C22—942no—
1714C22—942no—
1715C22—942no—
1716C22—942no—
1717C22—942no—
1718C22—942no—
1719C22—942no—
1720C22—942no—
1721C22—942no—
1722C22—942no—
1723C22—942no—
1724C22—3768no—
1725C22—18816no—
1726C22—18816no—
1727C22—1881no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22—1881no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22#123×D4714yes—
1746C22C22×D4×D4711yescharacteristic
1747C22C2×#41×D4711yescharacteristic
1748C22C2×#41×D4711yescharacteristic
1749C22H(5,𝔽2)×D4711yescharacteristic
1750C22C2×#1309407011yescharacteristic
1751C22#1568995911yescharacteristic
1752C22#1568996011yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—942no—
1767C4—942no—
1768C4—1881no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4—1881no—
1776C4—1881no—
1777C2—24no—
1778C2—42no—
1779C2—944no—
1780C2—944no—
1781C2—3761no—
1782C2—3761no—
1783C2—1882no—
1784C2C2×#123×D4711yescharacteristic
1785C2#2025679611yescharacteristic
1786C2#2025679811yescharacteristic
1787C2#2025701811yescharacteristic
1788C2#2025702711yescharacteristic
1789C2#2025721911yescharacteristic
1790C2#2025722811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2419C2
prime radicalC2×#15689684C2
hypercenter#2419D47
hypocenterC47#34983
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D47C2semidirect
3. #20251712C2semidirect
4. #20251712C2semidirect
5. #20251683C2semidirect
6. #20251681C2semidirect
7. #20249175C2semidirect
8. #20249169C2semidirect
9. #20249162C2semidirect
10. #20249162C2semidirect
11. #20247143C2semidirect
12. #20247139C2semidirect
13. #20247137C2semidirect
14. #20247133C2semidirect
15. #20247128C2semidirect
16. #20247124C2semidirect
17. #20247122C2semidirect
18. #20247118C2semidirect
19. #20246869C2semidirect
20. #20246865C2semidirect
21. #20246861C2semidirect
22. #20246856C2semidirect
23. #20246852C2semidirect
24. #20246848C2semidirect
25. #20246844C2semidirect
26. #20246001C2semidirect
27. #20245965C2semidirect
28. #20245962C2semidirect
29. C2×#15689001C2semidirect
30. #385×D47C2semidirect
31. C47×#2419C2semidirect
35. C23×C4×D47C22semidirect
39. C2×#13094009C22semidirect
40. C2×#13094009C22semidirect
41. C2×#13094008C22semidirect
43. C2×#13094007C22semidirect
52. C2×C4×D188C22semidirect
54. C2×#13093986C22semidirect
56. C2×C4×C22⋊D47C22semidirect
58. C2×(C22⋊D47)⋊C4C22semidirect
60. C2×C4⋊C4×D47C22semidirect
61. C2×C4⋊C4×D47C22semidirect
62. C2×C4⋊C4×D47C22semidirect
64. C22×(C2×D47)⋊C4C22semidirect
65. C22×(C2×D47)⋊C4C22semidirect
69. C2×C22⋊C4×D47C22semidirect
70. C2×C42×D47C22semidirect
71. #15689064C22semidirect
72. #15689064C22semidirect
73. #15689062C22semidirect
74. #15689060C22semidirect
75. #15689058C22semidirect
76. #15689058C22semidirect
77. #15689058C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689053C22semidirect
81. #15689052C22semidirect
82. #15689052C22semidirect
83. #15689052C22semidirect
84. #15689052C22semidirect
85. #15689051C22semidirect
86. #15689051C22semidirect
87. #15689050C22semidirect
88. #15689050C22semidirect
89. #15689050C22semidirect
90. #15689049C22semidirect
91. #15689041C22semidirect
92. #15689041C22semidirect
93. #15689040C22semidirect
94. #15689040C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689038C22semidirect
98. #15689038C22semidirect
99. #15689015C22semidirect
100. #15689015C22semidirect
101. #15689014C22semidirect
102. #15689014C22semidirect
103. #15689013C22semidirect
104. #15689013C22semidirect
105. #15689012C22semidirect
106. #15689012C22semidirect
107. #15689006C22semidirect
108. #15689006C22semidirect
109. #15689005C22semidirect
110. #15689005C22semidirect
111. #15689004C22semidirect
112. #15689004C22semidirect
115. #15689002C22semidirect
124. #15689001C22semidirect
125. #15689001C22semidirect
126. #15689001C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
129. #15689001C22semidirect
130. #15689001C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
137. #15689000C22semidirect
138. #15688999C22semidirect
139. #15688999C22semidirect
140. #15688998C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
147. #15688997C22semidirect
148. #15688997C22semidirect
149. #15688996C22semidirect
150. #15688995C22semidirect
151. #15688995C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688994C22semidirect
158. #15688986C22semidirect
159. #15688985C22semidirect
160. #15688985C22semidirect
161. #15688985C22semidirect
162. #15688985C22semidirect
163. #15688984C22semidirect
164. #15688983C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688978C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#397C22semidirect
179. C47×#397C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#381C22semidirect
186. C47×#381C22semidirect
187. C47×#380C22semidirect
188. C2×#95×C47C22semidirect
686. C22×D47#123semidirect
903. #2419D47semidirect
971. #400C2×D47semidirect
979. #398C2×D47semidirect
990. #397C2×D47semidirect
991. #397C2×D47semidirect
1014. #387C2×D47semidirect
1015. #387C2×D47semidirect
1062. #385C2×D47semidirect
1063. #385C2×D47semidirect
1070. #381C2×D47semidirect
1071. #381C2×D47semidirect
1075. #380C2×D47semidirect
1083. C2×#95C2×D47semidirect
1084. C47#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#156896842
C2×C4×D4×D472
#202517122
#202516832
#202516812
#202491752
#202491692
#202491622
#202471432
#202471392
#202471372
#202471332
#202471282
#202471242
#202471222
#202471182
#202468692
#202468652
#202468612
#202468562
#202468522
#202468482
#202468442
#202460012
#202459652
#202459622
C2×#156890012
#385×D472
C47×#24192
#3498347