Finite Group Databasebeta

← #26388969

Subgroups — #26388969

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C22×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
3#20251701C211yesmaximal, characteristic, complemented
4#20251696C211yesmaximal, characteristic, complemented
5#20251678C211yesmaximal, characteristic, complemented
6#20251673C211yesmaximal, characteristic, complemented
7#20249307C211yesmaximal, characteristic, complemented
8#20249290C211yesmaximal, characteristic, complemented
9#20249262C211yesmaximal, characteristic, complemented
10#20249228C211yesmaximal, characteristic, complemented
11#20247628C211yesmaximal, characteristic, complemented
12#20247531C211yesmaximal, characteristic, complemented
13#20247422C211yesmaximal, characteristic, complemented
14#20247386C211yesmaximal, characteristic, complemented
15#20247346C211yesmaximal, characteristic, complemented
16#20247267C211yesmaximal, characteristic, complemented
17#20247200C211yesmaximal, characteristic, complemented
18#20247191C211yesmaximal, characteristic, complemented
19#20247116C211yesmaximal, characteristic, complemented
20#20247056C211yesmaximal, characteristic, complemented
21#20246940C211yesmaximal, characteristic, complemented
22#20246860C211yesmaximal, characteristic, complemented
23#20246783C211yesmaximal, characteristic, complemented
24#20246758C211yesmaximal, characteristic
25#20246713C211yesmaximal, characteristic, complemented
26#20246090C211yesmaximal, characteristic, complemented
27#20246058C211yesmaximal, characteristic, complemented
28#20246018C211yesmaximal, characteristic, complemented
29C4×#13093992C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689716—28no—
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094005C2211yescharacteristic, complemented
44C2×#13094005C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13094002C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic
48C2×#13094001C2211yescharacteristic, complemented
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13093995C2211yescharacteristic
51C2×#13093995C2211yescharacteristic
52C2×#13093992C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic, complemented
54C2×C4×C22⋊D47C2211yescharacteristic, complemented
55C2×(C22⋊D47)⋊C4—28no—
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C22×Dic47⋊C4C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic, complemented
66C2×C4⋊C4×D47C2211yescharacteristic, complemented
67C22×(C2×D47)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71#15689064C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic, complemented
73#15689058C2211yescharacteristic, complemented
74#15689057C2211yescharacteristic, complemented
75#15689056C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689054C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689050C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic, complemented
83#15689047C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic, complemented
96#15689036C2211yescharacteristic, complemented
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689022C2211yescharacteristic, complemented
100#15689021C2211yescharacteristic, complemented
101#15689019C2211yescharacteristic, complemented
102#15689018C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689016C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689011C2211yescharacteristic, complemented
108#15689011C2211yescharacteristic, complemented
109#15689010C2211yescharacteristic, complemented
110#15689010C2211yescharacteristic, complemented
111#15689010C2211yescharacteristic, complemented
112#15689008C2211yescharacteristic, complemented
113#15689008C2211yescharacteristic, complemented
114#15689007C2211yescharacteristic, complemented
115#15689006C2211yescharacteristic, complemented
116#15689006C2211yescharacteristic, complemented
117#15689005C2211yescharacteristic, complemented
118#15689005C2211yescharacteristic, complemented
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689003C2211yescharacteristic
122#15689003C2211yescharacteristic, complemented
123#15689003C2211yescharacteristic, complemented
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic
132#15688998C2211yescharacteristic
133#15688998C2211yescharacteristic
134#15688998C2211yescharacteristic, complemented
135#15688998C2211yescharacteristic, complemented
136#15688997C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic, complemented
138#15688997C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688996C2211yescharacteristic
141#15688996C2211yescharacteristic
142#15688996C2211yescharacteristic, complemented
143#15688995C2211yescharacteristic
144#15688995C2211yescharacteristic
145#15688995C2211yescharacteristic
146#15688995C2211yescharacteristic
147#15688995C2211yescharacteristic, complemented
148#15688995C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688990C2211yescharacteristic, complemented
157#15688988C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688984C2211yescharacteristic, complemented
160#15688984C2211yescharacteristic, complemented
161#15688983C2211yescharacteristic
162#15688982C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168#15688978C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic, complemented
175C2×#120×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic
187C47×#380C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—24no—
193C22×C22⋊D47—24no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47—24no—
201C23×Dic47—42no—
202C23×Dic47—42no—
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—24no—
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
221#13094017—24no—
222#13094017—24no—
223#13094015—24no—
224#13094014—24no—
225#13094006—24no—
226#13094006—24no—
227#13094006—24no—
228#13094005—24no—
229#13094005—42no—
230#13094003—24no—
231#13094002—24no—
232#13094001—24no—
233#13094001—42no—
234#13094001—42no—
235#13093995—24no—
236#13093995—24no—
237#13093992—24no—
238C4×C22⋊D47—24no—
239C4×C22⋊D47—42no—
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4D418yescomplemented
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×Dic47⋊C4—24no—
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
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C4⋊C4×D47—24no—
279C4⋊C4×D47—42no—
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×(C2×D47)⋊C4—24no—
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
313C22⋊C4×D47—24no—
314C22⋊C4×D47—42no—
315C2×C4×Dic47—24no—
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
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
352C25×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360#120×C47—42no—
361C4×D4×C47—42no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47—24no—
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×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47#4114yes—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×D4×C47—22no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—41no—
417C2×D4×C47—41no—
418C2×D4×C47—41no—
419C2×D4×C47—41no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—22no—
424C22×C4×C47—22no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×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
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C2×C22⋊D47—232no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47C2×D414yes—
458C2×C22⋊D47#4114yes—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47—22no—
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—22no—
472C22×Dic47—41no—
473C22×Dic47—41no—
474C22×Dic47—41no—
475C22×Dic47—41no—
476C22×Dic47—41no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47—416no—
480C22×Dic47C2×D414yes—
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
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—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—416no—
515C2×C4×D47—41no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47C2×D414yes—
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—41no—
526C4⋊C4×C47—41no—
527C4⋊C4×C47—41no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47C2×D414yes—
544C42×C47—41no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4C2×D414yes—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—41no—
585C4⋊Dic47—41no—
586Dic47⋊C4—22no—
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—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605Dic47⋊C4C2×D414yes—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—22no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—28no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47—21no—
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×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—44no—
637C23×C47—44no—
638C23×C47—44no—
639C23×C47—44no—
640C23×C47—44no—
641C23×C47—44no—
642C23×C47C22×D412yes—
643C23×C47C2×#4112yes—
644C23×C47C2×#4112yes—
645C23×C47H(5,𝔽2)12yes—
646C23×C472−1+412yes—
647C23×C47C2511yescharacteristic
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—28no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47—44no—
665C22×D47C22×D412yes—
666C22×D47C2×#4112yes—
667C22×D47C2×#4112yes—
668C22×D47C2×#4112yes—
669D4×C47—44no—
670D4×C47—82no—
671D4×C47—82no—
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—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—44no—
704C2×C4×C47—44no—
705C2×C4×C47—82no—
706C2×C4×C47C22×D412yes—
707C2×C4×C47C22×D412yes—
708C22⋊D47—28no—
709C22⋊D47—28no—
710C22⋊D47—28no—
711C22⋊D47—28no—
712C22⋊D47—44no—
713C22⋊D47—44no—
714C2×Dic47—28no—
715C2×Dic47—28no—
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—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—44no—
754C2×Dic47—44no—
755C2×Dic47—44no—
756C2×Dic47—44no—
757C2×Dic47—44no—
758C2×Dic47C22×D412yes—
759C2×Dic47C22×D412yes—
760C2×Dic47C22×D412yes—
761C2×Dic47C2×#4112yes—
762C2×Dic47H(5,𝔽2)12yes—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—82no—
770C4×D47—82no—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—416no—
786C22×C47—41no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47#53914yescomplemented
802C22×C47C23×D411yescharacteristic
803C22×C47C22×#4111yescharacteristic
804C22×C47C22×#4111yescharacteristic
805C22×C47C2×H(5,𝔽2)11yescharacteristic
806C22×C47C2×H(5,𝔽2)11yescharacteristic
807C22×C47C2×2−1+411yescharacteristic
808C22×C47#58511yescharacteristic
809C2×D47—22no—
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—416no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47#52514yes—
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835Dic47—22no—
836Dic47—22no—
837Dic47—22no—
838Dic47—22no—
839Dic47—22no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418D4711yescharacteristic, complemented
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—42no—
882C2×C47—42no—
883C2×C47—81no—
884C2×C47C2×#52511yescharacteristic
885C2×C47C2×#53911yescharacteristic
886C2×C47#345911yescharacteristic
887C2×C47#348411yescharacteristic
888C2×C47#348911yescharacteristic
889C2×C47#351311yescharacteristic
890C2×C47#352011yescharacteristic
891D47—24no—
892D47—42no—
893C23×D4—471no—
894C24×C4—471no—
895C24×C4—471no—
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123—471no—
906C2×#123C2×D4711yescharacteristic, complemented
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120C2×D4711yescharacteristic
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—948no—
927C2×C4×D4C2×D4711yescharacteristic
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4C2×D4711yescharacteristic
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399C2×D4711yescharacteristic, complemented
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397C2×D4711yescharacteristic, complemented
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394C2×D4711yescharacteristic, complemented
964#394C2×D4711yescharacteristic, complemented
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388C2×D4711yescharacteristic, complemented
979#388C2×D4711yescharacteristic, complemented
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic, complemented
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385C2×D4711yescharacteristic
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380C2×D4711yescharacteristic
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379C2×D4711yescharacteristic
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25—471no—
1052C25C22×D4711yescharacteristic
1053C22×Q8—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—944no—
1061C22×D4—944no—
1062C22×D4—944no—
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—944no—
1082C23×C4—944no—
1083C23×C4—1882no—
1084C23×C4—1882no—
1085C23×C4—1882no—
1086C23×C4—1882no—
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—24no—
1095#123—944no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—42no—
1108#120—944no—
1109C4×D4—42no—
1110C4×D4—478no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—944no—
1119C4×D4—1882no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—944no—
1150C2×C4⋊C4—944no—
1151C2×C4⋊C4—1882no—
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—944no—
1191C2×C22⋊C4—944no—
1192C2×C22⋊C4—1882no—
1193C2×C22⋊C4C22×D4711yescharacteristic
1194C2×C22⋊C4C22×D4711yescharacteristic
1195C2×C22⋊C4C22×D4711yescharacteristic
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—944no—
1216C2×C42C22×D4711yescharacteristic
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#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95C22×D4711yescharacteristic
1248#95C22×D4711yescharacteristic
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—41no—
1259C24—41no—
1260C24—471no—
1261C24—471no—
1262C24—474no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—942no—
1267C24—1881no—
1268C24—1881no—
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—474no—
1286C2×D4—474no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—9432no—
1296C2×D4—942no—
1297C2×D4—942no—
1298C2×D4—942no—
1299C2×D4—942no—
1300C2×D4—942no—
1301C2×D4—942no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—474no—
1319C22×C4—474no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
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—1881no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—18816no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—18816no—
1374C22×C4C23×D4711yescharacteristic
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
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—474no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
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—942no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—474no—
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—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4D4×D4714yes—
1467C42—41no—
1468C42—474no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—942no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—472no—
1505C23—472no—
1506C23—472no—
1507C23—472no—
1508C23—948no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—948no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23C2×D4×D4712yes—
1526C23#41×D4712yes—
1527C23#41×D4712yes—
1528C23#1309406912yes—
1529C23#1309407112yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—44no—
1533D4—82no—
1534D4—82no—
1535D4—948no—
1536D4—948no—
1537D4—948no—
1538D4—948no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—82no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—472no—
1578C2×C4—472no—
1579C2×C4—472no—
1580C2×C4—948no—
1581C2×C4—948no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—3762no—
1620C2×C4—3762no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4—1884no—
1632C2×C4C2×D4×D4712yes—
1633C2×C4C2×D4×D4712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—474no—
1663C22—942no—
1664C22—942no—
1665C22—942no—
1666C22—942no—
1667C22—942no—
1668C22—942no—
1669C22—942no—
1670C22—942no—
1671C22—942no—
1672C22—18816no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22#1568971614yescomplemented
1678C22C22×D4×D4711yescharacteristic
1679C22C2×#41×D4711yescharacteristic
1680C22C2×#41×D4711yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22C2×#1309406911yescharacteristic
1683C22C2×#1309407111yescharacteristic
1684C22#1568995811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—942no—
1697C4—942no—
1698C4—942no—
1699C4—942no—
1700C4—942no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—944no—
1715C2—1882no—
1716C2#525×D4711yescharacteristic
1717C2C2×#1568971611yescharacteristic
1718C2#2025679911yescharacteristic
1719C2#2025701611yescharacteristic
1720C2#2025705911yescharacteristic
1721C2#2025732111yescharacteristic
1722C2#2025742611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2418C2
prime radical#20246758C2
hypercenter#2418D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C22×(C22⋊D47)⋊C4C2semidirect
3. #20251701C2semidirect
4. #20251696C2semidirect
5. #20251678C2semidirect
6. #20251673C2semidirect
7. #20249307C2semidirect
8. #20249290C2semidirect
9. #20249262C2semidirect
10. #20249228C2semidirect
11. #20247628C2semidirect
12. #20247531C2semidirect
13. #20247422C2semidirect
14. #20247386C2semidirect
15. #20247346C2semidirect
16. #20247267C2semidirect
17. #20247200C2semidirect
18. #20247191C2semidirect
19. #20247116C2semidirect
20. #20247056C2semidirect
21. #20246940C2semidirect
22. #20246860C2semidirect
23. #20246783C2semidirect
25. #20246713C2semidirect
26. #20246090C2semidirect
27. #20246058C2semidirect
28. #20246018C2semidirect
29. C4×#13093992C2semidirect
30. #385×D47C2semidirect
31. C47×#2418C2semidirect
36. C2×#13094017C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094014C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094005C22semidirect
44. C2×#13094005C22semidirect
45. C2×#13094003C22semidirect
46. C2×#13094002C22semidirect
48. C2×#13094001C22semidirect
49. C2×#13094001C22semidirect
53. C2×C4×C22⋊D47C22semidirect
54. C2×C4×C22⋊D47C22semidirect
65. C2×C4⋊C4×D47C22semidirect
66. C2×C4⋊C4×D47C22semidirect
71. #15689064C22semidirect
72. #15689059C22semidirect
73. #15689058C22semidirect
74. #15689057C22semidirect
75. #15689056C22semidirect
76. #15689056C22semidirect
77. #15689054C22semidirect
78. #15689052C22semidirect
79. #15689051C22semidirect
80. #15689051C22semidirect
81. #15689050C22semidirect
82. #15689048C22semidirect
83. #15689047C22semidirect
84. #15689046C22semidirect
85. #15689046C22semidirect
86. #15689045C22semidirect
87. #15689043C22semidirect
92. #15689039C22semidirect
95. #15689038C22semidirect
96. #15689036C22semidirect
99. #15689022C22semidirect
100. #15689021C22semidirect
101. #15689019C22semidirect
102. #15689018C22semidirect
103. #15689017C22semidirect
104. #15689017C22semidirect
105. #15689016C22semidirect
106. #15689016C22semidirect
107. #15689011C22semidirect
108. #15689011C22semidirect
109. #15689010C22semidirect
110. #15689010C22semidirect
111. #15689010C22semidirect
112. #15689008C22semidirect
113. #15689008C22semidirect
114. #15689007C22semidirect
115. #15689006C22semidirect
116. #15689006C22semidirect
117. #15689005C22semidirect
118. #15689005C22semidirect
122. #15689003C22semidirect
123. #15689003C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
134. #15688998C22semidirect
135. #15688998C22semidirect
136. #15688997C22semidirect
137. #15688997C22semidirect
138. #15688997C22semidirect
139. #15688997C22semidirect
142. #15688996C22semidirect
147. #15688995C22semidirect
148. #15688995C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688990C22semidirect
157. #15688988C22semidirect
158. #15688985C22semidirect
159. #15688984C22semidirect
160. #15688984C22semidirect
162. #15688982C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×#123×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#397C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
185. C47×#386C22semidirect
247. (C22⋊D47)⋊C4D4semidirect
801. C22×C47#539semidirect
871. #2418D47semidirect
906. C2×#123C2×D47semidirect
939. #399C2×D47semidirect
949. #397C2×D47semidirect
963. #394C2×D47semidirect
964. #394C2×D47semidirect
978. #388C2×D47semidirect
979. #388C2×D47semidirect
1003. #386C2×D47semidirect
1050. C47#34991semidirect
1677. C22#15689716semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C22×(C22⋊D47)⋊C42
#202517012
#202516962
#202516782
#202516732
#202493072
#202492902
#202492622
#202492282
#202476282
#202475312
#202474222
#202473862
#202473462
#202472672
#202472002
#202471912
#202471162
#202470562
#202469402
#202468602
#202467832
#202467582
#202467132
#202460902
#202460582
#202460182
C4×#130939922
#385×D472
C47×#24182
#3499147