Finite Group Databasebeta

← #26376115

Subgroups — #26376115

Order 12032.

3268 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689771C211yesmaximal, characteristic
2C2×#15689591C211yesmaximal, characteristic, complemented
3C2×C4×#10625352C211yesmaximal, characteristic, complemented
4#20246443C211yesmaximal, characteristic, complemented
5#20246416C211yesmaximal, characteristic, complemented
6#20246412C211yesmaximal, characteristic, complemented
7#20246407C211yesmaximal, characteristic, complemented
8#20246405C211yesmaximal, characteristic, complemented
9#20246382C211yesmaximal, characteristic, complemented
10#20246381C211yesmaximal, characteristic, complemented
11#20246375C211yesmaximal, characteristic, complemented
12#20246334C211yesmaximal, characteristic, complemented
13#20246286C211yesmaximal, characteristic, complemented
14#20246258C211yesmaximal, characteristic, complemented
15#20246254C211yesmaximal, characteristic, complemented
16#20246215C211yesmaximal, characteristic, complemented
17#20246214C211yesmaximal, characteristic, complemented
18#20245959C211yesmaximal, characteristic, complemented
19#20245922C211yesmaximal, characteristic, complemented
20#20245920C211yesmaximal, characteristic, complemented
21#20245915C211yesmaximal, characteristic, complemented
22#123×Dic47C211yesmaximal, characteristic, complemented
23#20245909C211yesmaximal, characteristic, complemented
24#20245907C211yesmaximal, characteristic, complemented
25#20245900C211yesmaximal, characteristic, complemented
26#20245898C211yesmaximal, characteristic, complemented
27C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
29C2×#15688974C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2359C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34#15689771C4116yescomplemented
35C2×#13094023C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094008C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094002C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43#15689591—28no—
44C4×#10625352—28no—
45C2×C4×Dic94C2211yescharacteristic
46C2×#13093989C2211yescharacteristic
47C2×#13093989C2211yescharacteristic
48C2×#13093989C2211yescharacteristic
49C2×D4×Dic47C2211yescharacteristic
50C2×#13093986C2211yescharacteristic
51C2×#13093986C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
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
64C2×#13093982C2211yescharacteristic
65C2×#13093981C2211yescharacteristic
66C2×#13093981C2211yescharacteristic
67C2×#13093980C2211yescharacteristic
68C2×#13093980C2211yescharacteristic
69C22×Dic47⋊C4C2211yescharacteristic
70C22×Dic47⋊C4C2211yescharacteristic
71C2×C4⋊C4×D47C2211yescharacteristic
72C2×C4⋊C4×D47C2211yescharacteristic
73C22×C4×Dic47C2211yescharacteristic
74C22×C4×Dic47C2211yescharacteristic
75C22×C4×Dic47C2211yescharacteristic
76C22×C4×Dic47C2211yescharacteristic
77C2×C42×D47C2211yescharacteristic
78C2×C42×D47C2211yescharacteristic
79C2×C42×D47C2211yescharacteristic
80C2×C42×D47C2211yescharacteristic
81#15689027C2211yescharacteristic
82#15689027C2211yescharacteristic
83#15689027C2211yescharacteristic
84#15689027C2211yescharacteristic
85#15689023C2211yescharacteristic
86#15689023C2211yescharacteristic
87#15689021C2211yescharacteristic
88#15689020C2211yescharacteristic
89#15689020C2211yescharacteristic
90#15689018C2211yescharacteristic
91#15689018C2211yescharacteristic
92#15689018C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689016C2211yescharacteristic
95#15689016C2211yescharacteristic
96#15689015C2211yescharacteristic
97#15689015C2211yescharacteristic
98#15689014C2211yescharacteristic
99#15689014C2211yescharacteristic
100#15689013C2211yescharacteristic
101#15689013C2211yescharacteristic
102#15689011C2211yescharacteristic
103#15689011C2211yescharacteristic
104#15689009C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689008C2211yescharacteristic
107#15689008C2211yescharacteristic
108#15689007C2211yescharacteristic
109#15689007C2211yescharacteristic
110#15689006C2211yescharacteristic
111#15689006C2211yescharacteristic
112#15689004C2211yescharacteristic
113#15689004C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688997C2211yescharacteristic
123#15688997C2211yescharacteristic
124#15688996C2211yescharacteristic
125#15688994C2211yescharacteristic
126#15688994C2211yescharacteristic
127#15688992C2211yescharacteristic
128#15688986C2211yescharacteristic
129#15688985C2211yescharacteristic
130#15688985C2211yescharacteristic
131#15688984C2211yescharacteristic
132#15688982C2211yescharacteristic
133#15688982C2211yescharacteristic
134#15688981C2211yescharacteristic
135#15688981C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic
137C4⋊C4×Dic47C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic
139C4⋊C4×Dic47C2211yescharacteristic
140C4×Dic47⋊C4C2211yescharacteristic
141C4×Dic47⋊C4C2211yescharacteristic
142C4×Dic47⋊C4C2211yescharacteristic
143C4×Dic47⋊C4C2211yescharacteristic
144C4×C4⋊Dic47C2211yescharacteristic
145#15688974C2211yescharacteristic
146#15688974C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149#15688974C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152#15688974C2211yescharacteristic
153#15688974C2211yescharacteristic
154#15688974C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C42×Dic47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C2×#117×C47C2211yescharacteristic
178C47×#389C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C4×C4⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C2×#95×C47C2211yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—24no—
192C2×#10625350C2×C418yescomplemented
193C2×#10625352—24no—
194C2×#10625352—24no—
195C2×#10625352C2×C418yescomplemented
196C22×Dic94C2311yescharacteristic
197C22×Dic94C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219#13094023C2×C418yescomplemented
220#13094009C2×C418yescomplemented
221#13094008C2×C418yescomplemented
222#13094006C2×C418yescomplemented
223#13094002C2×C418yescomplemented
224#13094001C2×C418yescomplemented
225#13093997C2×C418yescomplemented
226#13093996C2×C418yescomplemented
227C4×Dic94—24no—
228#13093989—24no—
229#13093989—24no—
230#13093989—24no—
231D4×Dic47—24no—
232#13093986—24no—
233#13093986—24no—
234C4×C22⋊D47—24no—
235C4×C22⋊D47—24no—
236C4×C22⋊D47—24no—
237C4×C22⋊D47—24no—
238(C22⋊D47)⋊C4—24no—
239(C22⋊D47)⋊C4—24no—
240(C22⋊D47)⋊C4—24no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4—24no—
243(C22⋊D47)⋊C4C2×C418yescomplemented
244(C22⋊D47)⋊C4C2×C418yescomplemented
245(C22⋊D47)⋊C4D418yescomplemented
246#13093982—24no—
247#13093981—24no—
248#13093981—24no—
249#13093980—24no—
250#13093980—24no—
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×Dic47⋊C4—24no—
257C2×Dic47⋊C4C2×C418yescomplemented
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×D47C2×C418yescomplemented
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—24no—
301C2×C4×Dic47—24no—
302C2×C4×Dic47—24no—
303C2×C4×Dic47—24no—
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C42×D47—24no—
331C42×D47—24no—
332C42×D47—24no—
333C42×D47—24no—
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
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C22×D4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365#123×C47C2×C418yescomplemented
366C4×D4×C47—24no—
367#117×C47—24no—
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊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×C42×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385C2×C42×C47C2311yescharacteristic
386C2×C42×C47C2311yescharacteristic
387C2×C42×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397#95×C47C2311yescharacteristic
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C2×D4×C47—22no—
403C2×D4×C47—22no—
404C2×D4×C47C22×C414yes—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47C22×C414yes—
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C2×C22⋊D47—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47C22×C414yes—
437C2×C22⋊D47C22×C414yes—
438C2×C22⋊D47C22×C414yes—
439C2×C22⋊D47C22×C414yes—
440C2×C22⋊D47C2×D414yes—
441C2×C22⋊D47#4114yes—
442C22×Dic47—22no—
443C22×Dic47—22no—
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—22no—
454C22×Dic47—22no—
455C22×Dic47—41no—
456C22×Dic47C22×C414yes—
457C22×Dic47C22×C414yes—
458C22×Dic47C22×C414yes—
459C22×Dic47C2×D414yes—
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474#10625352—232no—
475#10625350—232no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188C22×C414yes—
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—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47C22×C414yes—
505C2×C4×D47C22×C414yes—
506C2×C4×D47C22×C414yes—
507C2×C4×D47C22×C414yes—
508C2×C4×D47C2×D414yes—
509C2×Dic94—22no—
510C2×Dic94—22no—
511C2×Dic94—22no—
512C2×Dic94—22no—
513C2×Dic94C22×C414yes—
514C2×Dic94C22×C414yes—
515C4⋊C4×C47—22no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—41no—
520C4⋊C4×C47C22×C414yes—
521C4⋊C4×C47C22×C414yes—
522C22⋊C4×C47—22no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—41no—
526C22⋊C4×C47C22×C414yes—
527C22⋊C4×C47C22×C414yes—
528C22⋊C4×C47C22×C414yes—
529C22⋊C4×C47C2×D414yes—
530C42×C47—22no—
531C42×C47—22no—
532C42×C47—22no—
533C42×C47—22no—
534C42×C47—41no—
535C22⋊Dic47—22no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—41no—
540C22⋊Dic47C22×C414yes—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4C22×C414yes—
551(C2×D47)⋊C4C22×C414yes—
552(C2×D47)⋊C4C22×C414yes—
553(C2×D47)⋊C4C22×C414yes—
554(C2×D47)⋊C4C2×D414yes—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—41no—
558C4⋊Dic47C22×C414yes—
559C4⋊Dic47C22×C414yes—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4C22×C414yes—
573Dic47⋊C4C22×C414yes—
574Dic47⋊C4C22×C414yes—
575Dic47⋊C4C22×C414yes—
576Dic47⋊C4C22×C414yes—
577Dic47⋊C4C22×C414yes—
578Dic47⋊C4C2×D414yes—
579Dic47⋊C4#4114yescomplemented
580C4×Dic47—22no—
581C4×Dic47—22no—
582C4×Dic47—22no—
583C4×Dic47—22no—
584C4×Dic47—22no—
585C4×Dic47—22no—
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—22no—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—22no—
595C4×Dic47—22no—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47C22×C414yes—
604C4×Dic47C2×D414yes—
605C4×Dic47#4114yescomplemented
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×C47—21no—
615C23×C47—21no—
616C23×C47C23×C412yes—
617C23×C47C23×C412yes—
618C23×C47C22×D412yes—
619C23×C47C2×#4112yes—
620C23×C47C2511yescharacteristic
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47C23×C412yes—
632C22×D47C23×C412yes—
633C22×D47C22×D412yes—
634C22×D47C2×#4112yes—
635D4×C47—28no—
636C2×C4×C47—28no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—44no—
668C2×C4×C47—44no—
669C2×C4×C47—44no—
670C2×C4×C47C23×C412yes—
671C2×C4×C47C23×C412yes—
672C2×C4×C47C23×C412yes—
673C2×C4×C47C23×C412yes—
674C2×C4×C47C23×C412yes—
675C2×C4×C47C22×D412yes—
676C2×C4×C47C22×D412yes—
677C2×C4×C47C2×#4112yes—
678C2×C4×C47C2×#4112yes—
679C22⋊D47—28no—
680C22⋊D47—28no—
681C22⋊D47—28no—
682C22⋊D47C4×D4116yescomplemented
683C2×Dic47—28no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—28no—
697C2×Dic47—28no—
698C2×Dic47—28no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—44no—
715C2×Dic47—44no—
716C2×Dic47C23×C412yes—
717C2×Dic47C23×C412yes—
718C2×Dic47C23×C412yes—
719C2×Dic47C23×C412yes—
720C2×Dic47C23×C412yes—
721C2×Dic47C23×C412yes—
722C2×Dic47C22×D412yes—
723C2×Dic47C22×D412yes—
724C2×Dic47C22×D412yes—
725C2×Dic47C2×#4112yes—
726C2×Dic47C2×#4112yes—
727C2×Dic47C2×#4112yes—
728C2×Dic47C2×#4112yes—
729C2×Dic47C2×#4112yes—
730C2×Dic472−1+412yes—
731D188—28no—
732C4×D47—28no—
733C4×D47—28no—
734C4×D47—28no—
735C4×D47—28no—
736C4×D47—28no—
737C4×D47—44no—
738C4×D47—44no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742Dic94—28no—
743Dic94—28no—
744C4×#547—471nomaximal, Sylow
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47C2×C4×D414yes—
759C22×C47C24×C411yescharacteristic
760C22×C47C23×D411yescharacteristic
761C22×C47C22×#4111yescharacteristic
762C22×C47C22×#4111yescharacteristic
763C22×C47C22×#4111yescharacteristic
764C22×C47C2×2−1+411yescharacteristic
765C22×C47#58511yescharacteristic
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47C2×C4×D414yes—
780C4×C47—22no—
781C4×C47—22no—
782C4×C47—22no—
783C4×C47—22no—
784C4×C47—22no—
785C4×C47—22no—
786C4×C47—22no—
787C4×C47—22no—
788C4×C47—22no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793Dic47—22no—
794Dic47—22no—
795Dic47—22no—
796Dic47—22no—
797Dic47—22no—
798Dic47—22no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47C2×C4×D414yes—
805Dic47C4×#4114yescomplemented
806Dic47#54714yescomplemented
807C2×#547—471no—
808C2×C4×#41—471no—
809C2×C4×#41—471no—
810#2365—471no—
811#2362—471no—
812#2362—471no—
813#2361—471no—
814#2361—471no—
815#2359—471no—
816#2359—471no—
817#2359—471no—
818#2359D4711yescharacteristic, complemented
819#2354—471no—
820D4×C4⋊C4—471no—
821#2344—471no—
822#2344—471no—
823#2339—471no—
824#2339—471no—
825C4×C4⋊Q8—471no—
826C4×C22⋊Q8—471no—
827C4×C22⋊Q8—471no—
828C4×#123—471no—
829C4×#123—471no—
830C4×#123—471no—
831C4×#123—471no—
832C4×#121—471no—
833C4×#121—471no—
834C42×D4—471no—
835C42×D4—471no—
836C2×C4×C4⋊C4—471no—
837C2×C4×C4⋊C4—471no—
838C2×C47—24no—
839C2×C47—42no—
840C2×C47C22×C4×D411yescharacteristic
841C2×C47C2×C4×#4111yescharacteristic
842C2×C47C4×2−1+411yescharacteristic
843C2×C47C2×#54711yescharacteristic
844C2×C47D4×#4111yescharacteristic
845C2×C47#347511yescharacteristic
846C2×C47#348211yescharacteristic
847D47—24no—
848D47—42no—
849C22×#41—471no—
850C22×#41—471no—
851#547—4716no—
852C2×C4⋊Q8—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123C2×D4711yescharacteristic
857C2×C22⋊Q8—471no—
858C2×C22⋊Q8—471no—
859C2×#121—471no—
860C2×#121—471no—
861C4×#41—948no—
862C4×#41—948no—
863C2×C4×Q8—471no—
864C2×C4×Q8—471no—
865C2×C4×Q8—471no—
866C2×C4×Q8—471no—
867C2×C4×D4—471no—
868C2×C4×D4—471no—
869C2×C4×D4—471no—
870C2×C4×D4—471no—
871C2×C4×D4—471no—
872C2×C4×D4—471no—
873C2×C4×D4—471no—
874C2×C4×D4—471no—
875C2×C4×D4—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4C2×D4711yescharacteristic
883C2×#117—471no—
884C2×#117—471no—
885C2×#117—471no—
886C2×#117—471no—
887C2×#117—471no—
888C2×#117C2×D4711yescharacteristic
889C22×C4⋊C4—471no—
890C22×C4⋊C4—471no—
891C22×C4⋊C4—471no—
892C22×C4⋊C4—471no—
893C22×C42—471no—
894C22×C42—471no—
895C22×C42—471no—
896C22×C42—471no—
897C22×C42—471no—
898C22×C42—471no—
899C22×C42—471no—
900C22×C42—471no—
901#391—471no—
902#391—471no—
903#391—471no—
904#391—471no—
905#390—471no—
906#390—471no—
907#389—471no—
908#389—471no—
909#389—471no—
910#389—471no—
911#389—471no—
912#389—471no—
913#389—471no—
914#389C2×D4711yescharacteristic
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388C2×D4711yescharacteristic
926#388C2×D4711yescharacteristic
927#387—471no—
928#387—471no—
929#387—471no—
930#387—471no—
931#387—471no—
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387C2×D4711yescharacteristic
938#387C2×D4711yescharacteristic
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386C2×D4711yescharacteristic
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385C2×D4711yescharacteristic
954#385C2×D4711yescharacteristic
955#384—471no—
956#381—471no—
957#381—471no—
958#381—471no—
959#381—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964C4×C4⋊C4—471no—
965C4×C4⋊C4—471no—
966C4×C4⋊C4—471no—
967C4×C4⋊C4—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4—471no—
975C4×C4⋊C4—471no—
976C4×C4⋊C4—471no—
977C4×C4⋊C4—471no—
978C4×C4⋊C4—471no—
979C4×C4⋊C4—471no—
980C4×C4⋊C4—471no—
981C4×C4⋊C4—471no—
982C4×C4⋊C4—471no—
983C4×C4⋊C4—471no—
984C4×C4⋊C4—471no—
985C4×C4⋊C4C2×D4711yescharacteristic
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4—471no—
997C4×C22⋊C4—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4C2×D4711yescharacteristic
1001C4×C22⋊C4C2×D4711yescharacteristic
1002C2×#95—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C2×#95C2×D4711yescharacteristic
1006C43—471no—
1007C47C4×#54711yescharacteristic, complemented, Sylow
1008C2×#41—478no—
1009C2×#41—478no—
1010C2×#41—944no—
1011C2×#41—944no—
1012C2×#41—944no—
1013C2×#41—944no—
1014C22×Q8—471no—
1015C22×Q8—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4C22×D4711yescharacteristic
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4C22×D4711yescharacteristic
1039C23×C4C22×D4711yescharacteristic
1040C23×C4C22×D4711yescharacteristic
1041C23×C4C22×D4711yescharacteristic
1042C4⋊Q8—478no—
1043#123—478no—
1044#123—478no—
1045#123—478no—
1046#123C4×D4718yescomplemented
1047C22⋊Q8—478no—
1048C22⋊Q8—478no—
1049#121—478no—
1050#121—478no—
1051C4×Q8—944no—
1052C4×Q8—944no—
1053C4×Q8—944no—
1054C4×Q8—944no—
1055C4×D4—24no—
1056C4×D4—478no—
1057C4×D4—478no—
1058C4×D4—478no—
1059C4×D4—944no—
1060C4×D4—944no—
1061C4×D4—944no—
1062C4×D4—944no—
1063C4×D4—944no—
1064C4×D4—944no—
1065C4×D4—944no—
1066C4×D4—944no—
1067C4×D4—944no—
1068C4×D4—944no—
1069C4×D4—944no—
1070C4×D4—944no—
1071#117—24no—
1072#117—944no—
1073#117—944no—
1074#117—944no—
1075#117—944no—
1076#117—944no—
1077C2×C4⋊C4—478no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—478no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—944no—
1105C2×C4⋊C4—944no—
1106C2×C4⋊C4C22×D4711yescharacteristic
1107C2×C4⋊C4C22×D4711yescharacteristic
1108C2×C4⋊C4C22×D4711yescharacteristic
1109C2×C4⋊C4C22×D4711yescharacteristic
1110C2×C4⋊C4C22×D4711yescharacteristic
1111C2×C4⋊C4C22×D4711yescharacteristic
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42—471no—
1167C2×C42—944no—
1168C2×C42—944no—
1169C2×C42—944no—
1170C2×C42—944no—
1171C2×C42—944no—
1172C2×C42—944no—
1173C2×C42—944no—
1174C2×C42—944no—
1175C2×C42C22×D4711yescharacteristic
1176C2×C42C22×D4711yescharacteristic
1177C2×C42C22×D4711yescharacteristic
1178C2×C42C22×D4711yescharacteristic
1179C2×C42C22×D4711yescharacteristic
1180#95—471no—
1181#95—471no—
1182#95—471no—
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#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216C24—471no—
1217C24—471no—
1218C24C23×D4711yescharacteristic
1219C24C23×D4711yescharacteristic
1220#41—9432no—
1221#41—9432no—
1222C2×Q8—474no—
1223C2×Q8—474no—
1224C2×Q8—942no—
1225C2×Q8—942no—
1226C2×Q8—942no—
1227C2×Q8—942no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—474no—
1231C2×D4—474no—
1232C2×D4—474no—
1233C2×D4—474no—
1234C2×D4—474no—
1235C2×D4—474no—
1236C2×D4—474no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4C2×C4×D4714yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—474no—
1261C22×C4—474no—
1262C22×C4—474no—
1263C22×C4—474no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—474no—
1271C22×C4—474no—
1272C22×C4—474no—
1273C22×C4—474no—
1274C22×C4—474no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
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—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4C2×C4×D4714yes—
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C22×C4C23×D4711yescharacteristic
1327C22×C4C23×D4711yescharacteristic
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—41no—
1338C4⋊C4—474no—
1339C4⋊C4—474no—
1340C4⋊C4—474no—
1341C4⋊C4—474no—
1342C4⋊C4—474no—
1343C4⋊C4—474no—
1344C4⋊C4—474no—
1345C4⋊C4—474no—
1346C4⋊C4—474no—
1347C4⋊C4—474no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—1881no—
1363C4⋊C4C2×C4×D4714yes—
1364C4⋊C4C2×C4×D4714yes—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—474no—
1370C22⋊C4—474no—
1371C22⋊C4—474no—
1372C22⋊C4—474no—
1373C22⋊C4—474no—
1374C22⋊C4—474no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
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—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4C2×C4×D4714yes—
1390C22⋊C4C2×C4×D4714yes—
1391C22⋊C4C2×C4×D4714yes—
1392C22⋊C4D4×D4714yes—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—41no—
1398C42—474no—
1399C42—474no—
1400C42—474no—
1401C42—942no—
1402C42—942no—
1403C42—942no—
1404C42—942no—
1405C42—942no—
1406C42—942no—
1407C42—942no—
1408C42—942no—
1409C42—942no—
1410C42—942no—
1411C42—942no—
1412C42—942no—
1413C42—942no—
1414C42—942no—
1415C42—942no—
1416C42—942no—
1417C42—942no—
1418C42—942no—
1419C42—942no—
1420C42—942no—
1421C42—942no—
1422C42—942no—
1423C42—942no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—472no—
1435C23—472no—
1436C23—472no—
1437C23—472no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23C22×C4×D4712yes—
1449C23C22×C4×D4712yes—
1450C23C2×D4×D4712yes—
1451C23#41×D4712yes—
1452C23C24×D4711yescharacteristic
1453Q8—948no—
1454Q8—948no—
1455D4—28no—
1456D4—4716no—
1457D4—948no—
1458D4—948no—
1459D4—948no—
1460D4—948no—
1461C2×C4—28no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—472no—
1496C2×C4—472no—
1497C2×C4—472no—
1498C2×C4—472no—
1499C2×C4—472no—
1500C2×C4—472no—
1501C2×C4—472no—
1502C2×C4—472no—
1503C2×C4—472no—
1504C2×C4—472no—
1505C2×C4—472no—
1506C2×C4—472no—
1507C2×C4—472no—
1508C2×C4—472no—
1509C2×C4—472no—
1510C2×C4—948no—
1511C2×C4—948no—
1512C2×C4—948no—
1513C2×C4—948no—
1514C2×C4—948no—
1515C2×C4—948no—
1516C2×C4—948no—
1517C2×C4—948no—
1518C2×C4—948no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—1884no—
1547C2×C4—1884no—
1548C2×C4—1884no—
1549C2×C4—1884no—
1550C2×C4—1884no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4C22×C4×D4712yes—
1554C2×C4C22×C4×D4712yes—
1555C2×C4C22×C4×D4712yes—
1556C2×C4C22×C4×D4712yes—
1557C2×C4C22×C4×D4712yes—
1558C2×C4C2×D4×D4712yes—
1559C2×C4C2×D4×D4712yes—
1560C2×C4#41×D4712yes—
1561C2×C4#41×D4712yes—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—474no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—942no—
1583C22—942no—
1584C22—942no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22C4×D4×D4714yes—
1590C22C23×C4×D4711yescharacteristic
1591C22C22×D4×D4711yescharacteristic
1592C22C2×#41×D4711yescharacteristic
1593C22C2×#41×D4711yescharacteristic
1594C22C2×#41×D4711yescharacteristic
1595C222−1+4×D4711yescharacteristic
1596C22#1568995811yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—474no—
1611C4—474no—
1612C4—474no—
1613C4—942no—
1614C4—942no—
1615C4—942no—
1616C4—942no—
1617C4—942no—
1618C4—942no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C2—24no—
1625C2—42no—
1626C2—944no—
1627C2—1882no—
1628C2C2×C4×D4×D4711yescharacteristic
1629C2C4×#41×D4711yescharacteristic
1630C2#2025659911yescharacteristic
1631C2#547×D4711yescharacteristic
1632C2#2025687211yescharacteristic
1633C2#2025694311yescharacteristic
1634C2#2025700211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2359C2
socle, cosocleC23×C47C25
prime radicalC2×#15689771C2
hypercenter#2359D47
hypocenterC47C4×#547
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. C2×#15689591C2semidirect
3. C2×C4×#10625352C2semidirect
4. #20246443C2semidirect
5. #20246416C2semidirect
6. #20246412C2semidirect
7. #20246407C2semidirect
8. #20246405C2semidirect
9. #20246382C2semidirect
10. #20246381C2semidirect
11. #20246375C2semidirect
12. #20246334C2semidirect
13. #20246286C2semidirect
14. #20246258C2semidirect
15. #20246254C2semidirect
16. #20246215C2semidirect
17. #20246214C2semidirect
18. #20245959C2semidirect
19. #20245922C2semidirect
20. #20245920C2semidirect
21. #20245915C2semidirect
22. #123×Dic47C2semidirect
23. #20245909C2semidirect
24. #20245907C2semidirect
25. #20245900C2semidirect
26. #20245898C2semidirect
27. C4×(C22⋊D47)⋊C4C2semidirect
28. C4×(C22⋊D47)⋊C4C2semidirect
29. C2×#15688974C2semidirect
30. C4×C4⋊C4×D47C2semidirect
31. C47×#2359C2semidirect
34. #15689771C4semidirect
192. C2×#10625350C2×C4semidirect
195. C2×#10625352C2×C4semidirect
219. #13094023C2×C4semidirect
220. #13094009C2×C4semidirect
221. #13094008C2×C4semidirect
222. #13094006C2×C4semidirect
223. #13094002C2×C4semidirect
224. #13094001C2×C4semidirect
225. #13093997C2×C4semidirect
226. #13093996C2×C4semidirect
243. (C22⋊D47)⋊C4C2×C4semidirect
244. (C22⋊D47)⋊C4C2×C4semidirect
245. (C22⋊D47)⋊C4D4semidirect
257. C2×Dic47⋊C4C2×C4semidirect
279. C4⋊C4×D47C2×C4semidirect
365. #123×C47C2×C4semidirect
579. Dic47⋊C4#41semidirect
605. C4×Dic47#41semidirect
682. C22⋊D47C4×D4semidirect
805. Dic47C4×#41semidirect
806. Dic47#547semidirect
818. #2359D47semidirect
1007. C47C4×#547semidirect
1046. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897712
C2×#156895912
C2×C4×#106253522
#202464432
#202464162
#202464122
#202464072
#202464052
#202463822
#202463812
#202463752
#202463342
#202462862
#202462582
#202462542
#202462152
#202462142
#202459592
#202459222
#202459202
#202459152
#123×Dic472
#202459092
#202459072
#202459002
#202458982
C4×(C22⋊D47)⋊C42
C2×#156889742
C4×C4⋊C4×D472
C47×#23592
C4×#54747