Finite Group Databasebeta

← D47×#2419 #26383976

Subgroups — D47×#2419 #26383976

Order 12032.

3222 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D47C211yesmaximal, characteristic
2C2×C4×D4×D47C211yesmaximal, characteristic
3#20246872C211yesmaximal, characteristic, complemented
4#20246871C211yesmaximal, characteristic, complemented
5#20246870C211yesmaximal, characteristic, complemented
6#20246869C211yesmaximal, characteristic, complemented
7#20246868C211yesmaximal, characteristic, complemented
8#20246867C211yesmaximal, characteristic, complemented
9#20246866C211yesmaximal, characteristic, complemented
10#20246865C211yesmaximal, characteristic, complemented
11#20246864C211yesmaximal, characteristic, complemented
12#20246863C211yesmaximal, characteristic, complemented
13#20246862C211yesmaximal, characteristic, complemented
14#20246861C211yesmaximal, characteristic, complemented
15#20246860C211yesmaximal, characteristic, complemented
16#20246859C211yesmaximal, characteristic, complemented
17#20246858C211yesmaximal, characteristic, complemented
18#400×D47C211yesmaximal, characteristic, complemented
19#398×D47C211yesmaximal, characteristic, complemented
20#397×D47C211yesmaximal, characteristic, complemented
21#397×D47C211yesmaximal, characteristic, complemented
22#387×D47C211yesmaximal, characteristic, complemented
23#387×D47C211yesmaximal, characteristic, complemented
24#386×D47C211yesmaximal, characteristic
25#385×D47C211yesmaximal, characteristic, complemented
26#385×D47C211yesmaximal, characteristic, complemented
27#381×D47C211yesmaximal, characteristic, complemented
28#381×D47C211yesmaximal, characteristic, complemented
29#380×D47C211yesmaximal, characteristic, complemented
30C2×#95×D47C211yesmaximal, characteristic, complemented
31C47×#2419C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic
36C23×C4×D47C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094007C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094005C2211yescharacteristic
44#123×D47—28no—
45C2×C4×D188C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C4×D4×D47—28no—
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C4⋊C4×D47C2211yescharacteristic
56C2×C4⋊C4×D47C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689064C2211yescharacteristic, complemented
72#15689064C2211yescharacteristic, complemented
73#15689063C2211yescharacteristic, complemented
74#15689062C2211yescharacteristic, complemented
75#15689061C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689057C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689056C2211yescharacteristic, complemented
80#15689055C2211yescharacteristic, complemented
81#15689054C2211yescharacteristic, complemented
82#15689053C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689052C2211yescharacteristic, complemented
85#15689052C2211yescharacteristic, complemented
86#15689052C2211yescharacteristic, complemented
87#15689051C2211yescharacteristic, complemented
88#15689051C2211yescharacteristic, complemented
89#15689051C2211yescharacteristic, complemented
90#15689051C2211yescharacteristic, complemented
91#15689050C2211yescharacteristic, complemented
92#15689050C2211yescharacteristic, complemented
93#15689049C2211yescharacteristic, complemented
94#15689049C2211yescharacteristic, complemented
95#15689048C2211yescharacteristic, complemented
96#15689048C2211yescharacteristic, complemented
97#15689010C2211yescharacteristic, complemented
98#15689010C2211yescharacteristic, complemented
99#15689009C2211yescharacteristic, complemented
100#15689009C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689008C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689007C2211yescharacteristic, complemented
105#15689006C2211yescharacteristic, complemented
106#15689006C2211yescharacteristic, complemented
107#15689005C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic
112#15689002C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689000C2211yescharacteristic
116#15688999C2211yescharacteristic
117#15688999C2211yescharacteristic
118#15688998C2211yescharacteristic, complemented
119#15688998C2211yescharacteristic, complemented
120#15688997C2211yescharacteristic, complemented
121#15688997C2211yescharacteristic, complemented
122#15688997C2211yescharacteristic, complemented
123#15688997C2211yescharacteristic, complemented
124#15688996C2211yescharacteristic, complemented
125#15688996C2211yescharacteristic, complemented
126#15688995C2211yescharacteristic, complemented
127#15688995C2211yescharacteristic, complemented
128#15688994C2211yescharacteristic, complemented
129#15688994C2211yescharacteristic, complemented
130#15688994C2211yescharacteristic, complemented
131#15688994C2211yescharacteristic, complemented
132#15688986C2211yescharacteristic, complemented
133#15688986C2211yescharacteristic, complemented
134#15688985C2211yescharacteristic, complemented
135#15688985C2211yescharacteristic, complemented
136#15688985C2211yescharacteristic, complemented
137#15688985C2211yescharacteristic, complemented
138#15688985C2211yescharacteristic, complemented
139#15688985C2211yescharacteristic, complemented
140#15688985C2211yescharacteristic, complemented
141#15688985C2211yescharacteristic, complemented
142#15688984C2211yescharacteristic, complemented
143#15688984C2211yescharacteristic, complemented
144#15688984C2211yescharacteristic, complemented
145#15688984C2211yescharacteristic, complemented
146#15688983C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic, complemented
148#15688982C2211yescharacteristic, complemented
149#15688981C2211yescharacteristic, complemented
150#15688981C2211yescharacteristic, complemented
151#15688980C2211yescharacteristic, complemented
152#15688980C2211yescharacteristic, complemented
153C2×C47⋊#95C2211yescharacteristic, complemented
154C2×C47⋊#95C2211yescharacteristic, complemented
155C2×C47⋊#95C2211yescharacteristic, complemented
156#95×D47C2211yescharacteristic
157#95×D47C2211yescharacteristic
158#95×D47C2211yescharacteristic
159#95×D47C2211yescharacteristic
160#95×D47C2211yescharacteristic
161#95×D47C2211yescharacteristic
162#95×D47C2211yescharacteristic
163#95×D47C2211yescharacteristic
164#95×D47C2211yescharacteristic
165#95×D47C2211yescharacteristic
166#95×D47C2211yescharacteristic
167#95×D47C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic, 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
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C2×D4×D47—24no—
195C2×D4×D47—24no—
196C2×D4×D47D418yes—
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—24no—
202C22×C4×D47—24no—
203C22×C4×D47—24no—
204C22×C4×D47—24no—
205C22×C4×D47—24no—
206C22×C4×D47—24no—
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47—24no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
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
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234#13094009—24no—
235#13094009—24no—
236#13094008—24no—
237#13094007—24no—
238#13094006—24no—
239#13094006—24no—
240#13094005—24no—
241C4×D188—24no—
242D4×Dic47—24no—
243#13093986—24no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
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
269C4⋊C4×D47—24no—
270C4⋊C4×D47—24no—
271C4⋊C4×D47—24no—
272C4⋊C4×D47—24no—
273C4⋊C4×D47—24no—
274C4⋊C4×D47—42no—
275C4⋊C4×D47—42no—
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
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
300C22⋊C4×D47—24no—
301C22⋊C4×D47—24no—
302C22⋊C4×D47—24no—
303C22⋊C4×D47—24no—
304C22⋊C4×D47—24no—
305C22⋊C4×D47—24no—
306C22⋊C4×D47—24no—
307C22⋊C4×D47—42no—
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C42×D47—24no—
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
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—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47C2×D414yes—
404C23×D47C2×D414yes—
405C23×D47#4114yes—
406C23×D47#4114yes—
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C2×D4×C47—22no—
411C2×D4×C47—22no—
412C2×D4×C47C2×D414yes—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47C2×D414yes—
443C2×C22⋊D47C2×D414yes—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469D4×D47—232no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188C2×D414yes—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
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—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—22no—
527C2×C4×D47—416no—
528C2×C4×D47—416no—
529C2×C4×D47—416no—
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—416no—
537C2×C4×D47C2×D414yes—
538C2×C4×D47#4114yes—
539C2×C4×D47#4114yes—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—22no—
542C4⋊C4×C47—22no—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47—41no—
546C4⋊C4×C47—41no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—41no—
555C42×C47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—41no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—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—41no—
579(C2×D47)⋊C4—41no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—41no—
586C4⋊Dic47—41no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—41no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47C22×D412yes—
615C23×C47C22×D412yes—
616C23×C47C2×#4112yes—
617C23×C47C2×#4112yes—
618C23×C47C2511yescharacteristic
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—28no—
624C22×D47—28no—
625C22×D47—28no—
626C22×D47—28no—
627C22×D47—28no—
628C22×D47—28no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—28no—
636C22×D47—28no—
637C22×D47—28no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47#123116yes—
643C22×D47C22×D412yes—
644C22×D47C22×D412yes—
645C22×D47C22×D412yes—
646C22×D47C2×#4112yes—
647C22×D47C2×#4112yes—
648C22×D47C2×#4112yes—
649C22×D47C2×#4112yes—
650C22×D47C2×#4112yes—
651C22×D47C2×#4112yes—
652C22×D47H(5,𝔽2)12yes—
653C22×D472−1+412yes—
654D4×C47—28no—
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—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—44no—
692C2×C4×C47—44no—
693C2×C4×C47—44no—
694C2×C4×C47—44no—
695C2×C4×C47C22×D412yes—
696C2×C4×C47C2×#4112yes—
697C2×C4×C47C2×#4112yes—
698C22⋊D47—28no—
699C22⋊D47—28no—
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—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—44no—
737C2×Dic47—44no—
738C2×Dic47—44no—
739C2×Dic47—44no—
740C2×Dic47C22×D412yes—
741C2×Dic47C2×#4112yes—
742C2×Dic47C2×#4112yes—
743D188—28no—
744C4×D47—28no—
745C4×D47—28no—
746C4×D47—28no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750C4×D47—44no—
751C4×D47—44no—
752C4×D47—44no—
753C4×D47—44no—
754C4×D47—44no—
755C4×D47—44no—
756C4×D47—44no—
757C4×D47—44no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C2×#2419—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47C2×#12314yes—
780C22×C47C23×D411yescharacteristic
781C22×C47C22×#4111yescharacteristic
782C22×C47C22×#4111yescharacteristic
783C22×C47C22×#4111yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C2×H(5,𝔽2)11yescharacteristic
786C22×C47C2×2−1+411yescharacteristic
787C2×D47—22no—
788C2×D47—22no—
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—232no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—416no—
802C2×D47C2×#12314yes—
803C2×D47C2×#12314yes—
804C2×D47#52914yes—
805C2×D47#53914yes—
806C2×D47#54614yes—
807C2×D47#54714yes—
808C2×D47#55114yes—
809C2×D47#55214yes—
810C4×C47—22no—
811C4×C47—22no—
812C4×C47—22no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817C4×C47—41no—
818C4×C47—41no—
819C4×C47—41no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823Dic47—22no—
824Dic47—22no—
825Dic47—22no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829Dic47—41no—
830Dic47—41no—
831Dic47—41no—
832Dic47—41no—
833Dic47—41no—
834Dic47—41no—
835Dic47—41no—
836C22×#123—471no—
837C22×C4×D4—471no—
838#2419—471no—
839#2419—471no—
840#2419—471no—
841#2419—471no—
842#2419—471no—
843#2419—471no—
844#2419—471no—
845#2419—471no—
846#2419—471no—
847#2419—471no—
848#2419—471no—
849#2419—471no—
850#2419—471no—
851#2419—471no—
852#2419—471no—
853#2419D4711yescharacteristic, direct product factor
854C2×#400—471no—
855C2×#398—471no—
856C2×#397—471no—
857C2×#397—471no—
858C2×#387—471no—
859C2×#387—471no—
860C2×#386—471no—
861C2×#385—471no—
862C2×#385—471no—
863C2×#381—471no—
864C2×#381—471no—
865C2×#380—471no—
866C22×#95—471no—
867C2×C47—24no—
868C2×C47—42no—
869C2×C47C22×#12311yescharacteristic
870C2×C47C2×#52911yescharacteristic
871C2×C47C2×#53911yescharacteristic
872C2×C47C2×#54611yescharacteristic
873C2×C47C2×#54711yescharacteristic
874C2×C47C2×#55111yescharacteristic
875C2×C47C2×#55211yescharacteristic
876D47—24no—
877D47—42no—
878D47#241918yesdirect product factor
879C23×D4—471no—
880C24×C4—471no—
881C24×C4—471no—
882C24×C4—471no—
883C24×C4—471no—
884C2×#123—471no—
885C2×#123—471no—
886C2×#123—471no—
887C2×#123—471no—
888C2×#123—471no—
889C2×#123—471no—
890C2×#123—471no—
891C2×#123—948no—
892C2×#123C2×D4711yescharacteristic
893C2×C4×D4—471no—
894C2×C4×D4—471no—
895C2×C4×D4—471no—
896C2×C4×D4—471no—
897C2×C4×D4—471no—
898C2×C4×D4—471no—
899C2×C4×D4—471no—
900C2×C4×D4—948no—
901C2×C4×D4C2×D4711yescharacteristic
902C22×C4⋊C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C4⋊C4—471no—
906C22×C4⋊C4—471no—
907C22×C4⋊C4—471no—
908C22×C4⋊C4—471no—
909C22×C22⋊C4—471no—
910C22×C22⋊C4—471no—
911C22×C22⋊C4—471no—
912C22×C22⋊C4—471no—
913C22×C22⋊C4—471no—
914C22×C22⋊C4—471no—
915C22×C22⋊C4—471no—
916C22×C22⋊C4—471no—
917C22×C42—471no—
918#400—471no—
919#400—471no—
920#400—471no—
921#400—471no—
922#400—471no—
923#400—471no—
924#400—471no—
925#400C2×D4711yescharacteristic, complemented
926#398—471no—
927#398—471no—
928#398—471no—
929#398—471no—
930#398—471no—
931#398—471no—
932#398—471no—
933#398C2×D4711yescharacteristic, complemented
934#397—471no—
935#397—471no—
936#397—471no—
937#397—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397—471no—
942#397—471no—
943#397—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397C2×D4711yescharacteristic, complemented
949#397C2×D4711yescharacteristic, complemented
950#387—471no—
951#387—471no—
952#387—471no—
953#387—471no—
954#387—471no—
955#387—471no—
956#387—471no—
957#387—471no—
958#387—471no—
959#387—471no—
960#387—471no—
961#387—471no—
962#387—471no—
963#387—471no—
964#387C2×D4711yescharacteristic, complemented
965#387C2×D4711yescharacteristic, complemented
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386C2×D4711yescharacteristic
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#385—471no—
984#385—471no—
985#385—471no—
986#385—471no—
987#385—471no—
988#385C2×D4711yescharacteristic, complemented
989#385C2×D4711yescharacteristic, complemented
990#381—471no—
991#381—471no—
992#381—471no—
993#381—471no—
994#381—471no—
995#381—471no—
996#381—471no—
997#381—471no—
998#381—471no—
999#381—471no—
1000#381—471no—
1001#381—471no—
1002#381—471no—
1003#381—471no—
1004#381C2×D4711yescharacteristic, complemented
1005#381C2×D4711yescharacteristic, complemented
1006#380—471no—
1007#380—471no—
1008#380—471no—
1009#380—471no—
1010#380—471no—
1011#380—471no—
1012#380—471no—
1013#380C2×D4711yescharacteristic, complemented
1014C2×#95—471no—
1015C2×#95—471no—
1016C2×#95—471no—
1017C2×#95—471no—
1018C2×#95—471no—
1019C2×#95—471no—
1020C2×#95—471no—
1021C2×#95—471no—
1022C2×#95—471no—
1023C2×#95—471no—
1024C2×#95—471no—
1025C2×#95—471no—
1026C2×#95—471no—
1027C2×#95—471no—
1028C2×#95—471no—
1029C2×#95—471no—
1030C2×#95—471no—
1031C2×#95—471no—
1032C2×#95—471no—
1033C2×#95—471no—
1034C2×#95—471no—
1035C2×#95C2×D4711yescharacteristic, complemented
1036C47C2×#241911yescharacteristic, complemented, Sylow
1037C25—471no—
1038C25—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—478no—
1042C22×D4—471no—
1043C22×D4—944no—
1044C22×D4—944no—
1045C22×D4C22×D4711yescharacteristic
1046C23×C4—471no—
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—471no—
1059C23×C4—471no—
1060C23×C4—471no—
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—944no—
1072C23×C4—944no—
1073C23×C4—944no—
1074C23×C4—944no—
1075C23×C4—944no—
1076C23×C4—944no—
1077C23×C4—944no—
1078C23×C4—944no—
1079C23×C4—944no—
1080C23×C4—1882no—
1081C23×C4—1882no—
1082C23×C4—1882no—
1083C23×C4C22×D4711yescharacteristic
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—24no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091#123—944no—
1092#123—944no—
1093#123—944no—
1094#123—944no—
1095C4×D4—24no—
1096C4×D4—944no—
1097C4×D4—944no—
1098C4×D4—944no—
1099C4×D4—944no—
1100C4×D4—944no—
1101C4×D4—944no—
1102C4×D4—944no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—944no—
1125C2×C4⋊C4—944no—
1126C2×C4⋊C4—944no—
1127C2×C4⋊C4—944no—
1128C2×C4⋊C4—944no—
1129C2×C4⋊C4—1882no—
1130C2×C4⋊C4—1882no—
1131C2×C4⋊C4C22×D4711yescharacteristic
1132C2×C4⋊C4C22×D4711yescharacteristic
1133C2×C4⋊C4C22×D4711yescharacteristic
1134C2×C4⋊C4C22×D4711yescharacteristic
1135C2×C4⋊C4C22×D4711yescharacteristic
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
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—944no—
1163C2×C22⋊C4—944no—
1164C2×C22⋊C4—944no—
1165C2×C22⋊C4—944no—
1166C2×C22⋊C4—944no—
1167C2×C22⋊C4—944no—
1168C2×C22⋊C4—944no—
1169C2×C22⋊C4—1882no—
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—944no—
1182C2×C42C22×D4711yescharacteristic
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95C22×D4711yescharacteristic
1226#95C22×D4711yescharacteristic
1227#95C22×D4711yescharacteristic
1228#95C22×D4711yescharacteristic
1229#95C22×D4711yescharacteristic
1230#95C22×D4711yescharacteristic
1231#95C22×D4711yescharacteristic
1232#95C22×D4711yescharacteristic
1233#95C22×D4711yescharacteristic
1234#95C22×D4711yescharacteristic
1235#95C22×D4711yescharacteristic
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239C24—471no—
1240C24—474no—
1241C24—474no—
1242C24—474no—
1243C24—471no—
1244C24—474no—
1245C24—471no—
1246C24—942no—
1247C24—942no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24C23×D4711yescharacteristic
1257C24C23×D4711yescharacteristic
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—474no—
1261C2×D4—474no—
1262C2×D4—474no—
1263C2×D4—942no—
1264C2×D4—942no—
1265C2×D4—9432no—
1266C2×D4—942no—
1267C2×D4—942no—
1268C2×D4—942no—
1269C2×D4—942no—
1270C2×D4D4×D4714yes—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—474no—
1287C22×C4—474no—
1288C22×C4—474no—
1289C22×C4—471no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—942no—
1300C22×C4—942no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
1318C22×C4—942no—
1319C22×C4—942no—
1320C22×C4—942no—
1321C22×C4—942no—
1322C22×C4—942no—
1323C22×C4—942no—
1324C22×C4—942no—
1325C22×C4—942no—
1326C22×C4—942no—
1327C22×C4—942no—
1328C22×C4—942no—
1329C22×C4—942no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
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—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—18816no—
1369C22×C4—18816no—
1370C22×C4—18816no—
1371C22×C4—18816no—
1372C22×C4—1881no—
1373C22×C4—1881no—
1374C22×C4—1881no—
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C22×C4C23×D4711yescharacteristic
1386C22×C4C23×D4711yescharacteristic
1387C22×C4C23×D4711yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—41no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C42—22no—
1449C42—942no—
1450C42—942no—
1451C42—942no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—472no—
1463C23—472no—
1464C23—472no—
1465C23—472no—
1466C23—472no—
1467C23—472no—
1468C23—472no—
1469C23—4716no—
1470C23—472no—
1471C23—472no—
1472C23—472no—
1473C23—472no—
1474C23—948no—
1475C23—948no—
1476C23—948no—
1477C23—948no—
1478C23—948no—
1479C23—948no—
1480C23—948no—
1481C23—948no—
1482C23—948no—
1483C23—941no—
1484C23—941no—
1485C23—941no—
1486C23—941no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—1884no—
1494C23—1884no—
1495C23—1884no—
1496C23—1884no—
1497C23C2×D4×D4712yes—
1498C23C2×D4×D4712yes—
1499C23#41×D4712yes—
1500C23#41×D4712yes—
1501C23C24×D4711yescharacteristic
1502D4—28no—
1503D4—948no—
1504D4—948no—
1505D4—948no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—472no—
1547C2×C4—472no—
1548C2×C4—472no—
1549C2×C4—948no—
1550C2×C4—948no—
1551C2×C4—948no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—1884no—
1589C2×C4—1884no—
1590C2×C4—1884no—
1591C2×C4—1884no—
1592C2×C4—1884no—
1593C2×C4—1884no—
1594C2×C4—1884no—
1595C2×C4—1884no—
1596C2×C4—1884no—
1597C2×C4—1884no—
1598C2×C4—1884no—
1599C2×C4—1884no—
1600C2×C4—1884no—
1601C2×C4—1884no—
1602C2×C4—1884no—
1603C2×C4—1884no—
1604C2×C4—1884no—
1605C2×C4—1884no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4—1884no—
1610C2×C4C2×D4×D4712yes—
1611C2×C4#41×D4712yes—
1612C2×C4#41×D4712yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—474no—
1627C22—474no—
1628C22—474no—
1629C22—474no—
1630C22—474no—
1631C22—474no—
1632C22—474no—
1633C22—474no—
1634C22—9432no—
1635C22—942no—
1636C22—942no—
1637C22—942no—
1638C22—942no—
1639C22—942no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—18816no—
1645C22—1881no—
1646C22—1881no—
1647C22—1881no—
1648C22—1881no—
1649C22#123×D4714yes—
1650C22C22×D4×D4711yescharacteristic
1651C22C2×#41×D4711yescharacteristic
1652C22C2×#41×D4711yescharacteristic
1653C22C2×#41×D4711yescharacteristic
1654C22C2×#41×D4711yescharacteristic
1655C22H(5,𝔽2)×D4711yescharacteristic
1656C222−1+4×D4711yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—942no—
1671C4—942no—
1672C4—942no—
1673C4—1881no—
1674C4—1881no—
1675C4—1881no—
1676C4—1881no—
1677C4—1881no—
1678C4—1881no—
1679C4—1881no—
1680C4—1881no—
1681C4—1881no—
1682C4—1881no—
1683C2—24no—
1684C2—42no—
1685C2—478no—
1686C2—944no—
1687C2—1882no—
1688C2C2×#123×D4711yescharacteristic
1689C2#529×D4711yescharacteristic
1690C2#539×D4711yescharacteristic
1691C2#546×D4711yescharacteristic
1692C2#547×D4711yescharacteristic
1693C2#551×D4711yescharacteristic
1694C2#552×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2419C2
prime radicalC22×D4×D47C22
hypercenter#2419D47
hypocenterC47C2×#2419
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
3. #20246872C2semidirect
4. #20246871C2semidirect
5. #20246870C2semidirect
6. #20246869C2semidirect
7. #20246868C2semidirect
8. #20246867C2semidirect
9. #20246866C2semidirect
10. #20246865C2semidirect
11. #20246864C2semidirect
12. #20246863C2semidirect
13. #20246862C2semidirect
14. #20246861C2semidirect
15. #20246860C2semidirect
16. #20246859C2semidirect
17. #20246858C2semidirect
18. #400×D47C2semidirect
19. #398×D47C2semidirect
20. #397×D47C2semidirect
21. #397×D47C2semidirect
22. #387×D47C2semidirect
23. #387×D47C2semidirect
25. #385×D47C2semidirect
26. #385×D47C2semidirect
27. #381×D47C2semidirect
28. #381×D47C2semidirect
29. #380×D47C2semidirect
30. C2×#95×D47C2semidirect
31. C47×#2419C2semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689064C22semidirect
72. #15689064C22semidirect
73. #15689063C22semidirect
74. #15689062C22semidirect
75. #15689061C22semidirect
76. #15689057C22semidirect
77. #15689057C22semidirect
78. #15689056C22semidirect
79. #15689056C22semidirect
80. #15689055C22semidirect
81. #15689054C22semidirect
82. #15689053C22semidirect
83. #15689052C22semidirect
84. #15689052C22semidirect
85. #15689052C22semidirect
86. #15689052C22semidirect
87. #15689051C22semidirect
88. #15689051C22semidirect
89. #15689051C22semidirect
90. #15689051C22semidirect
91. #15689050C22semidirect
92. #15689050C22semidirect
93. #15689049C22semidirect
94. #15689049C22semidirect
95. #15689048C22semidirect
96. #15689048C22semidirect
97. #15689010C22semidirect
98. #15689010C22semidirect
99. #15689009C22semidirect
100. #15689009C22semidirect
101. #15689008C22semidirect
102. #15689008C22semidirect
103. #15689007C22semidirect
104. #15689007C22semidirect
105. #15689006C22semidirect
106. #15689006C22semidirect
107. #15689005C22semidirect
108. #15689005C22semidirect
109. #15689004C22semidirect
110. #15689004C22semidirect
118. #15688998C22semidirect
119. #15688998C22semidirect
120. #15688997C22semidirect
121. #15688997C22semidirect
122. #15688997C22semidirect
123. #15688997C22semidirect
124. #15688996C22semidirect
125. #15688996C22semidirect
126. #15688995C22semidirect
127. #15688995C22semidirect
128. #15688994C22semidirect
129. #15688994C22semidirect
130. #15688994C22semidirect
131. #15688994C22semidirect
132. #15688986C22semidirect
133. #15688986C22semidirect
134. #15688985C22semidirect
135. #15688985C22semidirect
136. #15688985C22semidirect
137. #15688985C22semidirect
138. #15688985C22semidirect
139. #15688985C22semidirect
140. #15688985C22semidirect
141. #15688985C22semidirect
142. #15688984C22semidirect
143. #15688984C22semidirect
144. #15688984C22semidirect
145. #15688984C22semidirect
146. #15688983C22semidirect
147. #15688982C22semidirect
148. #15688982C22semidirect
149. #15688981C22semidirect
150. #15688981C22semidirect
151. #15688980C22semidirect
152. #15688980C22semidirect
153. C2×C47⋊#95C22semidirect
154. C2×C47⋊#95C22semidirect
155. C2×C47⋊#95C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
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
853. #2419D47direct (N × H)
878. D47#2419direct (N × H)
925. #400C2×D47semidirect
933. #398C2×D47semidirect
948. #397C2×D47semidirect
949. #397C2×D47semidirect
964. #387C2×D47semidirect
965. #387C2×D47semidirect
988. #385C2×D47semidirect
989. #385C2×D47semidirect
1004. #381C2×D47semidirect
1005. #381C2×D47semidirect
1013. #380C2×D47semidirect
1035. C2×#95C2×D47semidirect
1036. C47C2×#2419semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D472
C2×C4×D4×D472
#202468722
#202468712
#202468702
#202468692
#202468682
#202468672
#202468662
#202468652
#202468642
#202468632
#202468622
#202468612
#202468602
#202468592
#202468582
#400×D472
#398×D472
#397×D472
#387×D472
#386×D472
#385×D472
#381×D472
#380×D472
C2×#95×D472
C47×#24192
C2×#241947