Finite Group Databasebeta

← C2×#20257217 #27124196

Subgroups — C2×#20257217 #27124196

Order 12032.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257217C2132yesmaximal, direct product factor
2C2×#15689825C212yesmaximal, complemented
3C2×#15689821C211yesmaximal, characteristic, complemented
4C2×#15689819C212yesmaximal, complemented
5C2×#15689812C211yesmaximal, characteristic, complemented
6C2×#15689811C211yesmaximal, characteristic, complemented
7C2×#15689798C212yesmaximal, complemented
8C2×#15689796C212yesmaximal, complemented
9C2×#15689782C211yesmaximal, characteristic, complemented
10C2×#15689779C211yesmaximal, characteristic, complemented
11C2×#15689770C211yesmaximal, characteristic, complemented
12C2×#15689768C211yesmaximal, characteristic, complemented
13C2×#15689714C212yesmaximal, complemented
14C2×#15689709C212yesmaximal, complemented
15C2×#15689681C212yesmaximal, complemented
16C2×#15689658C211yesmaximal, characteristic, complemented
17C2×#15689655C211yesmaximal, characteristic, complemented
18C2×#15689635C211yesmaximal, characteristic, complemented
19C2×#15689633C211yesmaximal, characteristic, complemented
20C22×#13094004C211yesmaximal, characteristic, complemented
21C2×#121×D47C211yesmaximal, characteristic, complemented
22C2×#15689595C212yesmaximal, complemented
23C2×C4×D4×D47C211yesmaximal, characteristic, complemented
24C2×C47×#553C211yesmaximal, characteristic, complemented
25C22×#10625350C2211yescharacteristic, complemented
26C22×#10625352C2211yescharacteristic, complemented
27C23×Dic94C2211yescharacteristic, complemented
28C22×D4×D47C2211yescharacteristic
29C22×D4×D47C2212yes—
30C22×D4×D47C2211yescharacteristic, complemented
31C23×C4×D47C2211yescharacteristic
32C23×C4×D47C2211yescharacteristic, complemented
33#15689825C22132yescomplemented
34#15689821C22116yescomplemented
35#15689819C22132yescomplemented
36#15689812C22116yescomplemented
37#15689811C22116yescomplemented
38#15689798C22132yescomplemented
39#15689796C22132yescomplemented
40#15689782C22116yescomplemented
41#15689779C22116yescomplemented
42#15689770C22116yescomplemented
43#15689768C22116yescomplemented
44#15689714C22132yescomplemented
45#15689709C22132yescomplemented
46#15689681C22132yescomplemented
47#15689658C22116yescomplemented
48#15689655C22116yescomplemented
49C2×#13094019C2212yescomplemented
50C2×#13094019C2212yescomplemented
51C2×#13094019C2212yescomplemented
52C2×#13094017C2212yescomplemented
53C2×#13094017C2212yescomplemented
54C2×#13094016C2212yescomplemented
55C2×#13094015C2212yescomplemented
56C2×#13094015C2211yescharacteristic, complemented
57C2×#13094012C2211yescharacteristic, complemented
58C2×#13094011C2211yescharacteristic, complemented
59C2×#13094010C2212yescomplemented
60C2×#13094010C2212yescomplemented
61#15689635C22116yescomplemented
62#15689633C22116yescomplemented
63C2×#13094009C2212yes—
64C2×#13094009C2212yescomplemented
65C2×#13094009C2212yescomplemented
66C2×#13094008C2212yescomplemented
67C2×#13094008C2212yescomplemented
68C2×#13094006C2212yes—
69C2×#13094006C2212yescomplemented
70C2×#13094006C2212yescomplemented
71C2×#13094006C2212yescomplemented
72C2×#13094004C2211yescharacteristic, complemented
73C2×#13094004C2211yescharacteristic, complemented
74C2×#13094004C2211yescharacteristic, complemented
75C2×#13094004C2212yescomplemented
76C2×#13094004C2211yescharacteristic, complemented
77C2×#13094004C2211yescharacteristic, complemented
78C2×#13094004C2212yescomplemented
79C2×#13094004C22116yescomplemented
80C2×#13094003C2211yescharacteristic, complemented
81C2×#13094002C2212yescomplemented
82C2×#13094001C2212yescomplemented
83C2×#13093999C2211yescharacteristic
84C2×#13093999C2211yescharacteristic, complemented
85C2×#13093998C2212yescomplemented
86C2×#13093998C2211yescharacteristic, complemented
87C2×#13093998C2212yescomplemented
88C2×#13093997C2212yes—
89C2×#13093996C2212yescomplemented
90C2×#13093996C2212yescomplemented
91C2×#13093996C2212yescomplemented
92C2×#13093995C2211yescharacteristic
93C2×#13093995C2212yescomplemented
94#121×D47C22116yescomplemented
95C2×#13093994C2212yes—
96C2×#13093994C2212yescomplemented
97C2×#13093992C2212yes—
98C2×#13093992C2212yescomplemented
99#15689595C22132yescomplemented
100C2×C4×Dic94C2211yescharacteristic, complemented
101C2×#13093989C2211yescharacteristic, complemented
102C2×C4×D188C2211yescharacteristic
103C2×C4×D188C2212yescomplemented
104C2×C4×D188C2212yescomplemented
105C2×D4×Dic47C2211yescharacteristic, complemented
106C2×D4×Dic47C2212yescomplemented
107C2×D4×Dic47C2212yescomplemented
108C2×#13093986C2211yescharacteristic
109C2×#13093986C2212yescomplemented
110C2×#13093986C2211yescharacteristic, complemented
111C2×C4×C22⋊D47C2211yescharacteristic
112C2×C4×C22⋊D47C2211yescharacteristic, complemented
113C2×C4×C22⋊D47C2212yescomplemented
114C2×C4×C22⋊D47C2212yescomplemented
115C2×(C22⋊D47)⋊C4C2211yescharacteristic
116C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
117C2×(C22⋊D47)⋊C4C2212yescomplemented
118C2×(C22⋊D47)⋊C4C2212yescomplemented
119C4×D4×D47C22116yescomplemented
120C2×#13093983C2212yescomplemented
121C2×#13093982C2212yescomplemented
122C2×#13093982C2212yescomplemented
123C2×#13093982C2211yescharacteristic, complemented
124C2×#13093981C2212yescomplemented
125C22×C4⋊Dic47C2212yescomplemented
126C2×C4⋊C4×D47C2211yescharacteristic, complemented
127C2×C4⋊C4×D47C2211yescharacteristic, complemented
128C22×(C2×D47)⋊C4C2212yes—
129C22×(C2×D47)⋊C4C2212yescomplemented
130C2×C22⋊C4×D47C2211yescharacteristic
131C2×C22⋊C4×D47C2211yescharacteristic, complemented
132C2×C22⋊C4×D47C2212yescomplemented
133C2×C22⋊C4×D47C2212yescomplemented
134C2×C42×D47C2211yescharacteristic, complemented
135C47×#553C22116yescomplemented
136C2×#126×C47C2212yescomplemented
137C2×#125×C47C2211yescharacteristic, complemented
138C2×#123×C47C2212yescomplemented
139C2×#121×C47C2211yescharacteristic, complemented
140C2×#121×C47C2211yescharacteristic, complemented
141C2×#121×C47C2212yescomplemented
142C2×C4×D4×C47C2211yescharacteristic, complemented
143C2×C4×D4×C47C2212yescomplemented
144C2×C4×D4×C47C2211yescharacteristic, complemented
145C2×#117×C47C2211yescharacteristic, complemented
146C22×C4⋊C4×C47C2211yescharacteristic, complemented
147C24×D47C2312yes—
148C24×D47C2311yescharacteristic
149C24×D47C2311yescharacteristic
150C2×#10625350—44no—
151C2×#10625350C2318yescomplemented
152C2×#10625352—44no—
153C2×#10625352C2318yescomplemented
154C22×Dic94—44no—
155C22×Dic94C2311yescharacteristic
156C22×Dic94C2311yescharacteristic
157C22×Dic94C2312yes—
158C22×Dic94C2318yescomplemented
159C22×D188C2311yescharacteristic
160C22×D188C2312yes—
161C22×D188C2311yescharacteristic
162C22×D188C2312yes—
163C22×C22⋊D47C2311yescharacteristic
164C22×C22⋊D47C2312yes—
165C22×C22⋊D47C2311yescharacteristic
166C22×C22⋊D47C2312yes—
167C22×C22⋊D47C2312yes—
168C22×C22⋊D47C2312yes—
169C22×C22⋊D47C2312yes—
170C2×D4×D47—28no—
171C2×D4×D47—216no—
172C2×D4×D47—44no—
173C2×D4×D47C2318yes—
174C2×D4×D47C23116yes—
175C2×D4×D47C2318yescomplemented
176C23×Dic47C2312yes—
177C23×Dic47C2312yes—
178C23×Dic47C2311yescharacteristic
179C23×Dic47C2311yescharacteristic
180C22×C4×D47—44no—
181C22×C4×D47—44no—
182C22×C4×D47C2311yescharacteristic
183C22×C4×D47C2311yescharacteristic
184C22×C4×D47C2312yes—
185C22×C4×D47C2311yescharacteristic
186C22×C4×D47C2311yescharacteristic
187C22×C4×D47C2311yescharacteristic
188C22×C4×D47C2311yescharacteristic
189C22×C4×D47C2311yescharacteristic
190C22×C4×D47C2311yescharacteristic
191C22×C4×D47C2312yes—
192C22×C4×D47C2312yes—
193C22×C4×D47C2318yes—
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2318yescomplemented
196#13094019C23116yescomplemented
197#13094019C23116yescomplemented
198#13094019C23116yescomplemented
199#13094017C23116yescomplemented
200#13094017C23116yescomplemented
201#13094016C23116yescomplemented
202#13094015C23116yescomplemented
203#13094015C2318yescomplemented
204#13094012C2318yescomplemented
205#13094011C2318yescomplemented
206#13094010C23116yescomplemented
207#13094010C23116yescomplemented
208#13094009C23116yes—
209#13094009C23116yescomplemented
210#13094009C23116yescomplemented
211#13094008C23116yescomplemented
212#13094008C23116yescomplemented
213#13094006C23116yes—
214#13094006C23116yescomplemented
215#13094006C23116yescomplemented
216#13094006C23116yescomplemented
217#13094004C2318yescomplemented
218#13094004C2318yescomplemented
219#13094004C2318yescomplemented
220#13094004C23116yescomplemented
221#13094004C2318yescomplemented
222#13094004C2318yescomplemented
223#13094004C23116yescomplemented
224#13094003C2318yescomplemented
225#13094002C23116yescomplemented
226#13094001C23116yescomplemented
227#13093999C2318yes—
228#13093999C2318yescomplemented
229#13093998C23116yescomplemented
230#13093998C2318yescomplemented
231#13093998C23116yescomplemented
232#13093997C23116yes—
233#13093996C23116yescomplemented
234#13093996C23116yescomplemented
235#13093996C23116yescomplemented
236#13093995C2318yes—
237#13093995C23116yescomplemented
238#13093994C23116yes—
239#13093994C23116yescomplemented
240#13093992C23116yes—
241#13093992C23116yescomplemented
242C4×Dic94C2318yescomplemented
243#13093989C2318yescomplemented
244C4×D188C2318yes—
245C4×D188C23116yescomplemented
246C4×D188C23116yescomplemented
247D4×Dic47C23116yescomplemented
248D4×Dic47C23116yescomplemented
249D4×Dic47C2318yescomplemented
250#13093986C2318yes—
251#13093986C2318yescomplemented
252#13093986C23116yescomplemented
253C4×C22⋊D47C2318yes—
254C4×C22⋊D47C2318yescomplemented
255C4×C22⋊D47C23116yescomplemented
256C4×C22⋊D47C23116yescomplemented
257(C22⋊D47)⋊C4C2318yes—
258(C22⋊D47)⋊C4C23116yescomplemented
259(C22⋊D47)⋊C4C2318yescomplemented
260(C22⋊D47)⋊C4C23116yescomplemented
261#13093983C23116yescomplemented
262#13093982C23116yescomplemented
263#13093982C23116yescomplemented
264#13093982C2318yescomplemented
265#13093981C23116yescomplemented
266C2×C4⋊Dic47C2311yescharacteristic
267C2×C4⋊Dic47C2311yescharacteristic
268C2×C4⋊Dic47C2312yes—
269C2×C4⋊Dic47C2312yes—
270C2×C4⋊Dic47C2312yes—
271C2×C4⋊Dic47C2312yes—
272C2×C4⋊Dic47C2312yes—
273C2×C4⋊Dic47C2312yes—
274C2×C4⋊Dic47C23116yescomplemented
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2312yes—
278C2×Dic47⋊C4C2312yes—
279C2×Dic47⋊C4C2312yes—
280C2×Dic47⋊C4C2312yes—
281C2×Dic47⋊C4C2312yes—
282C4⋊C4×D47C2318yescomplemented
283C4⋊C4×D47C2318yescomplemented
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2312yes—
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2312yes—
288C2×C22⋊Dic47C2312yes—
289C2×C22⋊Dic47C2312yes—
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2312yes—
293C2×(C2×D47)⋊C4C2312yes—
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2312yes—
297C2×(C2×D47)⋊C4C2312yes—
298C2×(C2×D47)⋊C4C2312yes—
299C2×(C2×D47)⋊C4C2312yes—
300C2×(C2×D47)⋊C4C23116yes—
301C2×(C2×D47)⋊C4C2312yes—
302C2×(C2×D47)⋊C4C2312yes—
303C2×(C2×D47)⋊C4C2312yes—
304C2×(C2×D47)⋊C4C2312yes—
305C2×(C2×D47)⋊C4C2312yes—
306C2×(C2×D47)⋊C4C2312yes—
307C2×(C2×D47)⋊C4C23116yescomplemented
308C22⋊C4×D47C2318yes—
309C22⋊C4×D47C23116yescomplemented
310C22⋊C4×D47C23116yescomplemented
311C22⋊C4×D47C2318yescomplemented
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2312yes—
316C2×C4×Dic47C2312yes—
317C2×C4×Dic47C2312yes—
318C42×D47C2318yescomplemented
319C22×D4×C47C2311yescharacteristic
320C22×D4×C47C2312yes—
321C22×D4×C47C2311yescharacteristic
322C22×D4×C47C2312yes—
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2312yes—
326C23×C4×C47C2312yes—
327#126×C47C23116yescomplemented
328#125×C47C2318yescomplemented
329#123×C47C23116yescomplemented
330#121×C47C2318yescomplemented
331#121×C47C2318yescomplemented
332#121×C47C23116yescomplemented
333C4×D4×C47C2318yescomplemented
334C4×D4×C47C2318yescomplemented
335C4×D4×C47C23116yescomplemented
336#117×C47C2318yescomplemented
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2312yes—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2312yes—
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2312yes—
344C2×C4⋊C4×C47C2318yescomplemented
345C2×C22⋊C4×C47C2312yes—
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2312yes—
348C2×C22⋊C4×C47C2312yes—
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2312yes—
351C2×C42×C47C2312yes—
352C2×C42×C47C2311yescharacteristic
353C24×C47C2411yescharacteristic
354C24×C47C2412yes—
355C24×C47C2411yescharacteristic
356C23×D47—24no—
357C23×D47—28no—
358C23×D47—42no—
359C23×D47—42no—
360C23×D47—42no—
361C23×D47—42no—
362C23×D47—44no—
363C23×D47—44no—
364C23×D47#4118yescomplemented
365C23×D47C2411yescharacteristic
366C23×D47C2412yes—
367C23×D47C2411yescharacteristic
368C23×D47C2411yescharacteristic
369C23×D47C2418yes—
370C23×D47C2414yes—
371C23×D47C2414yes—
372C2×D4×C47—24no—
373C2×D4×C47—28no—
374C2×D4×C47—24no—
375C2×D4×C47—44no—
376C2×D4×C47C2414yes—
377C2×D4×C47C2418yes—
378C2×D4×C47C2414yes—
379C2×D4×C47C2418yes—
380C22×C4×C47—24no—
381C22×C4×C47—24no—
382C22×C4×C47—44no—
383C22×C4×C47—44no—
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2412yes—
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2412yes—
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2412yes—
391C22×C4×C47C2414yes—
392C22×C4×C47C2414yes—
393C22×C4×C47C2418yes—
394C22×C4×C47C2418yes—
395C22×C4×C47C2411yescharacteristic
396C2×C22⋊D47—24no—
397C2×C22⋊D47—28no—
398C2×C22⋊D47—24no—
399C2×C22⋊D47—28no—
400C2×C22⋊D47—44no—
401C2×C22⋊D47—44no—
402C2×C22⋊D47—44no—
403C2×C22⋊D47C2414yes—
404C2×C22⋊D47C2418yes—
405C2×C22⋊D47C2418yes—
406C2×C22⋊D47C2414yes—
407C2×C22⋊D47C2418yes—
408C2×C22⋊D47C2418yes—
409C2×C22⋊D47C2418yes—
410C22×Dic47—42no—
411C22×Dic47—42no—
412C22×Dic47—44no—
413C22×Dic47—44no—
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2412yes—
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2412yes—
420C22×Dic47C2412yes—
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2418yes—
423C22×Dic47C2418yes—
424C22×Dic47C2414yes—
425C22×Dic47C2414yes—
426#10625352—416no—
427D4×D47—232no—
428D4×D47—264no—
429D4×D47—416no—
430#10625350—416no—
431C2×D188—24no—
432C2×D188—28no—
433C2×D188—24no—
434C2×D188—44no—
435C2×D188C2414yes—
436C2×D188C2418yes—
437C2×D188C2414yes—
438C2×D188C2418yes—
439C2×C4×D47—28no—
440C2×C4×D47—24no—
441C2×C4×D47—24no—
442C2×C4×D47—24no—
443C2×C4×D47—24no—
444C2×C4×D47—416no—
445C2×C4×D47—416no—
446C2×C4×D47—42no—
447C2×C4×D47—42no—
448C2×C4×D47—42no—
449C2×C4×D47—42no—
450C2×C4×D47—42no—
451C2×C4×D47—44no—
452C2×C4×D47—44no—
453C2×C4×D47C2414yes—
454C2×C4×D47C2414yes—
455C2×C4×D47C2418yes—
456C2×C4×D47C2414yes—
457C2×C4×D47C2414yes—
458C2×C4×D47C2414yes—
459C2×C4×D47C2414yes—
460C2×C4×D47C2414yes—
461C2×C4×D47C2414yes—
462C2×C4×D47C2418yes—
463C2×C4×D47C2418yes—
464C2×C4×D47C2414yes—
465C2×Dic94—24no—
466C2×Dic94—24no—
467C2×Dic94—416no—
468C2×Dic94—44no—
469C2×Dic94C2414yes—
470C2×Dic94C2414yes—
471C2×Dic94C2418yes—
472C4⋊C4×C47C2414yes—
473C4⋊C4×C47C2414yes—
474C4⋊C4×C47C2418yes—
475C4⋊C4×C47C2414yes—
476C4⋊C4×C47C2418yes—
477C4⋊C4×C47C2414yes—
478C4⋊C4×C47C2418yes—
479C22⋊C4×C47C2418yes—
480C22⋊C4×C47C2414yes—
481C22⋊C4×C47C2418yes—
482C22⋊C4×C47C2418yes—
483C22⋊C4×C47C2414yes—
484C22⋊C4×C47C2418yes—
485C42×C47C2418yes—
486C42×C47C2414yes—
487C22⋊Dic47C2414yes—
488C22⋊Dic47C2418yes—
489C22⋊Dic47C2414yes—
490C22⋊Dic47C2418yes—
491C22⋊Dic47C2418yes—
492C22⋊Dic47C2418yes—
493(C2×D47)⋊C4C2414yes—
494(C2×D47)⋊C4C2414yes—
495(C2×D47)⋊C4C2418yes—
496(C2×D47)⋊C4C2418yes—
497(C2×D47)⋊C4C2414yes—
498(C2×D47)⋊C4C2414yes—
499(C2×D47)⋊C4C2418yes—
500(C2×D47)⋊C4C2418yes—
501(C2×D47)⋊C4C2418yes—
502(C2×D47)⋊C4C2418yes—
503(C2×D47)⋊C4C2418yes—
504(C2×D47)⋊C4C2418yes—
505(C2×D47)⋊C4C2418yes—
506(C2×D47)⋊C4C2418yes—
507(C2×D47)⋊C4C2418yes—
508(C2×D47)⋊C4C2418yes—
509C4⋊Dic47C2414yes—
510C4⋊Dic47C2414yes—
511C4⋊Dic47C2418yes—
512C4⋊Dic47C2418yes—
513C4⋊Dic47C2418yes—
514C4⋊Dic47C2418yes—
515C4⋊Dic47C2418yes—
516C4⋊Dic47C2418yes—
517Dic47⋊C4C2414yes—
518Dic47⋊C4C2414yes—
519Dic47⋊C4C2418yes—
520Dic47⋊C4C2418yes—
521Dic47⋊C4C2418yes—
522Dic47⋊C4C2418yes—
523Dic47⋊C4C2418yes—
524C4×Dic47C2414yes—
525C4×Dic47C2414yes—
526C4×Dic47C2414yes—
527C4×Dic47C2418yes—
528C4×Dic47C2418yes—
529C4×Dic47C2418yes—
530C23×C47—22no—
531C23×C47—22no—
532C23×C47—22no—
533C23×C47—24no—
534C23×C47—22no—
535C23×C47—24no—
536C23×C47—24no—
537C23×C47—22no—
538C23×C47C2×#4114yes—
539C23×C47C2512yes—
540C23×C47C2514yes—
541C23×C47C2512yes—
542C23×C47C2511yescharacteristic
543C22×D47—22no—
544C22×D47—22no—
545C22×D47—22no—
546C22×D47—22no—
547C22×D47—22no—
548C22×D47—24no—
549C22×D47—22no—
550C22×D47—24no—
551C22×D47—24no—
552C22×D47—22no—
553C22×D47—28no—
554C22×D47—216no—
555C22×D47—44no—
556C22×D47—44no—
557C22×D47—416no—
558C22×D47—44no—
559C22×D47—44no—
560C22×D47—48no—
561C22×D47—48no—
562C22×D47—416no—
563C22×D47—816no—
564C22×D47C2×#4114yes—
565C22×D47C2×#4114yes—
566C22×D47C2×#41116yescomplemented
567C22×D47C2512yes—
568C22×D47C2514yes—
569C22×D47C2512yes—
570C22×D47C2512yes—
571D4×C47—28no—
572D4×C47—216no—
573D4×C47—28no—
574D4×C47—48no—
575C2×C4×C47—24no—
576C2×C4×C47—22no—
577C2×C4×C47—22no—
578C2×C4×C47—22no—
579C2×C4×C47—22no—
580C2×C4×C47—24no—
581C2×C4×C47—24no—
582C2×C4×C47—28no—
583C2×C4×C47—28no—
584C2×C4×C47—48no—
585C2×C4×C47—48no—
586C2×C4×C47H(5,𝔽2)14yes—
587C2×C4×C47C2512yes—
588C2×C4×C47C2512yes—
589C2×C4×C47C2514yes—
590C2×C4×C47C2514yes—
591C2×C4×C47C2512yes—
592C2×C4×C47C2514yes—
593C2×C4×C47C2512yes—
594C2×C4×C47C2512yes—
595C22⋊D47—28no—
596C22⋊D47—216no—
597C22⋊D47—28no—
598C22⋊D47—216no—
599C22⋊D47—48no—
600C22⋊D47—48no—
601C22⋊D47—48no—
602C2×Dic47—24no—
603C2×Dic47—22no—
604C2×Dic47—24no—
605C2×Dic47—24no—
606C2×Dic47—22no—
607C2×Dic47—22no—
608C2×Dic47—22no—
609C2×Dic47—22no—
610C2×Dic47—48no—
611C2×Dic47—44no—
612C2×Dic47—44no—
613C2×Dic47—48no—
614C2×Dic47C2512yes—
615C2×Dic47C2512yes—
616C2×Dic47C2514yes—
617C2×Dic47C2512yes—
618C2×Dic47C2512yes—
619C2×Dic47C2514yes—
620C2×Dic47C2514yes—
621C2×Dic47C2512yes—
622D188—28no—
623D188—216no—
624D188—28no—
625D188—48no—
626C4×D47—216no—
627C4×D47—28no—
628C4×D47—28no—
629C4×D47—28no—
630C4×D47—28no—
631C4×D47—44no—
632C4×D47—44no—
633C4×D47—44no—
634C4×D47—44no—
635C4×D47—44no—
636C4×D47—48no—
637C4×D47—48no—
638Dic94—28no—
639Dic94—28no—
640Dic94—48no—
641C2×#3505—471nomaximal, Sylow
642C22×C47—22no—
643C22×C47—22no—
644C22×C47—28no—
645C22×C47—22no—
646C22×C47—24no—
647C22×C47—22no—
648C22×C47—24no—
649C22×C47—24no—
650C22×C47—22no—
651C22×C47—44no—
652C22×C47—48no—
653C22×C47C22×#4114yes—
654C22×C47C22×#4112yes—
655C22×C47C2×H(5,𝔽2)12yes—
656C22×C47#58512yes—
657C22×C47C2611yescharacteristic
658C2×D47—22no—
659C2×D47—22no—
660C2×D47—22no—
661C2×D47—22no—
662C2×D47—28no—
663C2×D47—28no—
664C2×D47—22no—
665C2×D47—24no—
666C2×D47—22no—
667C2×D47—24no—
668C2×D47—24no—
669C2×D47—22no—
670C2×D47—416no—
671C2×D47—416no—
672C2×D47—44no—
673C2×D47—48no—
674C2×D47—816no—
675C2×D47C22×#4114yes—
676C2×D47C22×#4114yes—
677C4×C47—24no—
678C4×C47—22no—
679C4×C47—22no—
680C4×C47—22no—
681C4×C47—22no—
682C4×C47—24no—
683C4×C47—24no—
684C4×C47C2×H(5,𝔽2)14yes—
685Dic47—24no—
686Dic47—22no—
687Dic47—24no—
688Dic47—24no—
689Dic47—22no—
690Dic47—22no—
691Dic47—22no—
692Dic47—22no—
693#3505—4732no—
694C2×#553—472no—
695C2×#553—472no—
696C2×#553—471no—
697C2×#553D4711yescharacteristic, complemented
698C2×#552—471no—
699C2×#552—471no—
700C2×#551—472no—
701C2×#551—472no—
702C2×#548—471no—
703C2×#548—471no—
704C2×#546—471no—
705C2×#546—471no—
706C2×#539—472no—
707C2×#538—472no—
708C2×#534—472no—
709C2×#529—471no—
710C2×#529—471no—
711C2×#525—471no—
712C2×#525—471no—
713C22×C22⋊Q8—471no—
714C22×#121—471no—
715C2×#518—472no—
716C22×C4×D4—471no—
717C2×C47—24no—
718C2×C47—42no—
719C2×C47—44no—
720C2×C47#350514yescomplemented
721C2×C47C23×#4111yescharacteristic
722C2×C47C22×H(5,𝔽2)11yescharacteristic
723C2×C47C2×#58511yescharacteristic
724D47—24no—
725D47—24no—
726D47—42no—
727D47—44no—
728C22×#41—471no—
729C22×#41—471no—
730C23×Q8—471no—
731C23×D4—471no—
732C23×D4—472no—
733C23×D4—471no—
734C24×C4—471no—
735C24×C4—471no—
736#553—4732no—
737#553—4732no—
738#553—4716no—
739#553C2×D47116yescomplemented
740#552—4716no—
741#552—4716no—
742#551—4732no—
743#551—4732no—
744#548—4716no—
745#548—4716no—
746#546—4716no—
747#546—4716no—
748#539—4732no—
749#538—4732no—
750#534—4732no—
751#529—4716no—
752#529—4716no—
753C2×#126—472no—
754C2×#126—472no—
755C2×#126—472no—
756C2×#126—472no—
757C2×#126—472no—
758C2×#126C2×D4712yescomplemented
759C2×#125—471no—
760C2×#125—472no—
761C2×#125—472no—
762C2×#125C2×D4711yescharacteristic, complemented
763C2×#124—471no—
764C2×#124—472no—
765C2×#124—472no—
766C2×#124—471no—
767#525—4716no—
768#525—4716no—
769C2×#123—472no—
770C2×#123—472no—
771C2×#123—472no—
772C2×#123—472no—
773C2×#123—472no—
774C2×#123—472no—
775C2×#123—472no—
776C2×#123—472no—
777C2×#123—472no—
778C2×#123C2×D4712yescomplemented
779C2×C22⋊Q8—471no—
780C2×C22⋊Q8—471no—
781C2×C22⋊Q8—471no—
782C2×C22⋊Q8—472no—
783C2×C22⋊Q8—471no—
784C2×C22⋊Q8—471no—
785C2×C22⋊Q8—472no—
786C2×C22⋊Q8—471no—
787C2×C22⋊Q8—472no—
788C2×C22⋊Q8—4716no—
789C2×C22⋊Q8—472no—
790C2×#121—471no—
791C2×#121—472no—
792C2×#121—472no—
793C2×#121—472no—
794C2×#121—472no—
795C2×#121—471no—
796C2×#121—472no—
797C2×#121—472no—
798C2×#121—4716no—
799C2×#121—471no—
800C2×#121—471no—
801C2×#121—472no—
802C2×#121C2×D4711yescharacteristic, complemented
803C2×#121C2×D4711yescharacteristic, complemented
804C2×#121C2×D4712yescomplemented
805C2×#120—472no—
806C2×#120—472no—
807C2×#120—472no—
808C2×#120—472no—
809#518—4732no—
810C2×C4×Q8—471no—
811C2×C4×Q8—471no—
812C2×C4×D4—471no—
813C2×C4×D4—472no—
814C2×C4×D4—472no—
815C2×C4×D4—471no—
816C2×C4×D4—471no—
817C2×C4×D4—472no—
818C2×C4×D4—472no—
819C2×C4×D4—4716no—
820C2×C4×D4—471no—
821C2×C4×D4—472no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—472no—
826C2×C4×D4—472no—
827C2×C4×D4—471no—
828C2×C4×D4—472no—
829C2×C4×D4—472no—
830C2×C4×D4C2×D4711yescharacteristic, complemented
831C2×C4×D4C2×D4712yescomplemented
832C2×C4×D4C2×D4711yescharacteristic, complemented
833C2×#117—472no—
834C2×#117—472no—
835C2×#117—471no—
836C2×#117—472no—
837C2×#117—472no—
838C2×#117C2×D4711yescharacteristic, complemented
839C22×C4⋊C4—472no—
840C22×C4⋊C4—471no—
841C22×C4⋊C4—471no—
842C22×C4⋊C4C2×D4711yescharacteristic, complemented
843C22×C22⋊C4—472no—
844C22×C22⋊C4—472no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—472no—
848C22×C22⋊C4—472no—
849C22×C42—471no—
850C47C2×#350511yescharacteristic, complemented, Sylow
851C25—471no—
852C25—472no—
853C25—471no—
854C2×#41—478no—
855C2×#41—478no—
856C2×#41—1884no—
857C2×#41—1884no—
858C22×Q8—471no—
859C22×Q8—471no—
860C22×Q8—472no—
861C22×Q8—478no—
862C22×Q8—1884no—
863C22×D4—471no—
864C22×D4—472no—
865C22×D4—471no—
866C22×D4—472no—
867C22×D4—472no—
868C22×D4—472no—
869C22×D4—472no—
870C22×D4—478no—
871C22×D4—4716no—
872C22×D4—478no—
873C22×D4—471no—
874C22×D4—472no—
875C22×D4—471no—
876C22×D4—472no—
877C22×D4—9416no—
878C22×D4—948no—
879C22×D4—1884no—
880C22×D4C22×D4711yescharacteristic
881C22×D4C22×D4712yes—
882C22×D4C22×D4711yescharacteristic
883C22×D4C22×D4712yes—
884C23×C4—472no—
885C23×C4—472no—
886C23×C4—471no—
887C23×C4—471no—
888C23×C4—472no—
889C23×C4—471no—
890C23×C4—471no—
891C23×C4—471no—
892C23×C4—471no—
893C23×C4—471no—
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4—472no—
898C23×C4—472no—
899C23×C4—471no—
900C23×C4—478no—
901C23×C4—478no—
902C23×C4—1884no—
903C23×C4—1884no—
904C23×C4C22×D4711yescharacteristic
905C23×C4C22×D4711yescharacteristic
906C23×C4C22×D4712yes—
907C23×C4C22×D4712yes—
908#126—4716no—
909#126—4716no—
910#126—4716no—
911#126—4716no—
912#126—4716no—
913#126C22×D47116yescomplemented
914#125—478no—
915#125—4716no—
916#125—4716no—
917#125C22×D4718yescomplemented
918#124—478no—
919#124—4716no—
920#124—4716no—
921#124—478no—
922#123—4716no—
923#123—4716no—
924#123—4716no—
925#123—4716no—
926#123—4716no—
927#123—4716no—
928#123—4716no—
929#123—4716no—
930#123—4716no—
931#123C22×D47116yescomplemented
932C22⋊Q8—478no—
933C22⋊Q8—478no—
934C22⋊Q8—478no—
935C22⋊Q8—4716no—
936C22⋊Q8—478no—
937C22⋊Q8—478no—
938C22⋊Q8—4716no—
939C22⋊Q8—478no—
940C22⋊Q8—4716no—
941C22⋊Q8—4716no—
942#121—478no—
943#121—4716no—
944#121—4716no—
945#121—4716no—
946#121—4716no—
947#121—478no—
948#121—4716no—
949#121—4716no—
950#121—478no—
951#121—478no—
952#121—4716no—
953#121C22×D4718yescomplemented
954#121C22×D4718yescomplemented
955#121C22×D47116yescomplemented
956#120—4716no—
957#120—4716no—
958#120—4716no—
959#120—4716no—
960C4×Q8—478no—
961C4×Q8—478no—
962C4×D4—478no—
963C4×D4—4716no—
964C4×D4—4716no—
965C4×D4—478no—
966C4×D4—478no—
967C4×D4—4716no—
968C4×D4—4716no—
969C4×D4—478no—
970C4×D4—4716no—
971C4×D4—478no—
972C4×D4—478no—
973C4×D4—478no—
974C4×D4—4716no—
975C4×D4—4716no—
976C4×D4—478no—
977C4×D4—4716no—
978C4×D4—4716no—
979C4×D4C22×D4718yescomplemented
980C4×D4C22×D47116yescomplemented
981C4×D4C22×D4718yescomplemented
982#117—4716no—
983#117—4716no—
984#117—478no—
985#117—4716no—
986#117—4716no—
987#117C22×D4718yescomplemented
988C2×C4⋊C4—472no—
989C2×C4⋊C4—472no—
990C2×C4⋊C4—471no—
991C2×C4⋊C4—471no—
992C2×C4⋊C4—471no—
993C2×C4⋊C4—471no—
994C2×C4⋊C4—472no—
995C2×C4⋊C4—472no—
996C2×C4⋊C4—472no—
997C2×C4⋊C4—4716no—
998C2×C4⋊C4—472no—
999C2×C4⋊C4—472no—
1000C2×C4⋊C4—472no—
1001C2×C4⋊C4—472no—
1002C2×C4⋊C4—472no—
1003C2×C4⋊C4—472no—
1004C2×C4⋊C4—478no—
1005C2×C4⋊C4—478no—
1006C2×C4⋊C4C22×D4711yescharacteristic
1007C2×C4⋊C4C22×D4711yescharacteristic
1008C2×C4⋊C4C22×D4711yescharacteristic
1009C2×C4⋊C4C22×D4711yescharacteristic
1010C2×C4⋊C4C22×D4712yes—
1011C2×C4⋊C4C22×D4712yes—
1012C2×C4⋊C4C22×D4712yes—
1013C2×C4⋊C4C22×D4718yescomplemented
1014C2×C22⋊C4—472no—
1015C2×C22⋊C4—471no—
1016C2×C22⋊C4—471no—
1017C2×C22⋊C4—472no—
1018C2×C22⋊C4—472no—
1019C2×C22⋊C4—472no—
1020C2×C22⋊C4—471no—
1021C2×C22⋊C4—471no—
1022C2×C22⋊C4—472no—
1023C2×C22⋊C4—472no—
1024C2×C22⋊C4—472no—
1025C2×C22⋊C4—472no—
1026C2×C22⋊C4—472no—
1027C2×C22⋊C4—471no—
1028C2×C22⋊C4—472no—
1029C2×C22⋊C4—472no—
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—4716no—
1032C2×C22⋊C4—4716no—
1033C2×C22⋊C4—472no—
1034C2×C22⋊C4—472no—
1035C2×C22⋊C4—472no—
1036C2×C22⋊C4—472no—
1037C2×C22⋊C4—472no—
1038C2×C22⋊C4—478no—
1039C2×C22⋊C4—478no—
1040C2×C22⋊C4—4716no—
1041C2×C22⋊C4—4716no—
1042C2×C22⋊C4C22×D4711yescharacteristic
1043C2×C22⋊C4C22×D4712yes—
1044C2×C22⋊C4C22×D4711yescharacteristic
1045C2×C22⋊C4C22×D4712yes—
1046C2×C22⋊C4C22×D4712yes—
1047C2×C22⋊C4C22×D4712yes—
1048C2×C42—472no—
1049C2×C42—472no—
1050C2×C42—472no—
1051C2×C42—471no—
1052C2×C42—471no—
1053C2×C42—471no—
1054C2×C42—478no—
1055C2×C42C22×D4712yes—
1056C2×C42C22×D4711yescharacteristic
1057C24—471no—
1058C24—471no—
1059C24—478no—
1060C24—474no—
1061C24—471no—
1062C24—472no—
1063C24—478no—
1064C24—474no—
1065C24—948no—
1066C24—944no—
1067C24—1884no—
1068C24—1884no—
1069C24—1882no—
1070C24—1882no—
1071C24—1882no—
1072C24—1882no—
1073C24C23×D4711yescharacteristic
1074C24C23×D4712yes—
1075C24C23×D4711yescharacteristic
1076#41—18816no—
1077#41—18816no—
1078C2×Q8—474no—
1079C2×Q8—474no—
1080C2×Q8—478no—
1081C2×Q8—944no—
1082C2×Q8—944no—
1083C2×Q8—1884no—
1084C2×Q8—18816no—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—44no—
1089C2×D4—474no—
1090C2×D4—478no—
1091C2×D4—474no—
1092C2×D4—478no—
1093C2×D4—478no—
1094C2×D4—478no—
1095C2×D4—478no—
1096C2×D4—474no—
1097C2×D4—478no—
1098C2×D4—474no—
1099C2×D4—478no—
1100C2×D4—944no—
1101C2×D4—948no—
1102C2×D4—9464no—
1103C2×D4—9432no—
1104C2×D4—944no—
1105C2×D4—948no—
1106C2×D4—948no—
1107C2×D4—944no—
1108C2×D4—944no—
1109C2×D4—1884no—
1110C2×D4—18816no—
1111C2×D4—1884no—
1112C2×D4—1884no—
1113C2×D4—1884no—
1114C2×D4C23×D4714yes—
1115C2×D4C23×D4718yes—
1116C2×D4C23×D4714yes—
1117C2×D4C23×D4718yes—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—471no—
1123C22×C4—472no—
1124C22×C4—471no—
1125C22×C4—471no—
1126C22×C4—471no—
1127C22×C4—472no—
1128C22×C4—472no—
1129C22×C4—471no—
1130C22×C4—478no—
1131C22×C4—478no—
1132C22×C4—474no—
1133C22×C4—474no—
1134C22×C4—474no—
1135C22×C4—474no—
1136C22×C4—478no—
1137C22×C4—474no—
1138C22×C4—474no—
1139C22×C4—474no—
1140C22×C4—474no—
1141C22×C4—474no—
1142C22×C4—474no—
1143C22×C4—478no—
1144C22×C4—478no—
1145C22×C4—474no—
1146C22×C4—948no—
1147C22×C4—944no—
1148C22×C4—944no—
1149C22×C4—944no—
1150C22×C4—944no—
1151C22×C4—18816no—
1152C22×C4—18816no—
1153C22×C4—1882no—
1154C22×C4—1884no—
1155C22×C4—1882no—
1156C22×C4—1882no—
1157C22×C4—1882no—
1158C22×C4—1882no—
1159C22×C4—1884no—
1160C22×C4—1882no—
1161C22×C4—1882no—
1162C22×C4—1884no—
1163C22×C4—1884no—
1164C22×C4C23×D4714yes—
1165C22×C4C23×D4714yes—
1166C22×C4C23×D4711yescharacteristic
1167C22×C4C23×D4712yes—
1168C22×C4C23×D4711yescharacteristic
1169C22×C4C23×D4712yes—
1170C22×C4C23×D4711yescharacteristic
1171C22×C4C23×D4712yes—
1172C22×C4C23×D4711yescharacteristic
1173C22×C4C23×D4718yes—
1174C22×C4C23×D4718yes—
1175C22×C4C23×D4711yescharacteristic
1176C4⋊C4—474no—
1177C4⋊C4—474no—
1178C4⋊C4—478no—
1179C4⋊C4—478no—
1180C4⋊C4—478no—
1181C4⋊C4—478no—
1182C4⋊C4—478no—
1183C4⋊C4—478no—
1184C4⋊C4—478no—
1185C4⋊C4—474no—
1186C4⋊C4—474no—
1187C4⋊C4—478no—
1188C4⋊C4—478no—
1189C4⋊C4—478no—
1190C4⋊C4—478no—
1191C4⋊C4C23×D4714yes—
1192C4⋊C4C23×D4714yes—
1193C4⋊C4C23×D4714yes—
1194C4⋊C4C23×D4714yes—
1195C4⋊C4C23×D4718yes—
1196C4⋊C4C23×D4718yes—
1197C4⋊C4C23×D4718yes—
1198C22⋊C4—478no—
1199C22⋊C4—474no—
1200C22⋊C4—474no—
1201C22⋊C4—478no—
1202C22⋊C4—478no—
1203C22⋊C4—478no—
1204C22⋊C4—474no—
1205C22⋊C4—474no—
1206C22⋊C4—478no—
1207C22⋊C4—478no—
1208C22⋊C4—478no—
1209C22⋊C4—478no—
1210C22⋊C4—478no—
1211C22⋊C4—474no—
1212C22⋊C4—478no—
1213C22⋊C4—478no—
1214C22⋊C4—474no—
1215C22⋊C4—478no—
1216C22⋊C4—478no—
1217C22⋊C4—478no—
1218C22⋊C4—478no—
1219C22⋊C4—478no—
1220C22⋊C4C23×D4714yes—
1221C22⋊C4C23×D4718yes—
1222C22⋊C4C23×D4714yes—
1223C22⋊C4C23×D4718yes—
1224C22⋊C4C23×D4718yes—
1225C22⋊C4C23×D4718yes—
1226C42—474no—
1227C42—474no—
1228C42—474no—
1229C42—478no—
1230C42—478no—
1231C42—478no—
1232C42C23×D4714yes—
1233C42C23×D4718yes—
1234C23—22no—
1235C23—22no—
1236C23—24no—
1237C23—22no—
1238C23—22no—
1239C23—24no—
1240C23—24no—
1241C23—22no—
1242C23—474no—
1243C23—474no—
1244C23—472no—
1245C23—472no—
1246C23—4716no—
1247C23—472no—
1248C23—474no—
1249C23—9416no—
1250C23—948no—
1251C23—942no—
1252C23—942no—
1253C23—942no—
1254C23—942no—
1255C23—944no—
1256C23—942no—
1257C23—942no—
1258C23—944no—
1259C23—944no—
1260C23—942no—
1261C23—37616no—
1262C23—1888no—
1263C23—1888no—
1264C23—1884no—
1265C23—1884no—
1266C23—1884no—
1267C23—18816no—
1268C23—1884no—
1269C23—18816no—
1270C23#41×D4714yes—
1271C23C24×D4712yes—
1272C23C24×D4714yes—
1273C23C24×D4712yes—
1274C23C24×D4711yescharacteristic
1275Q8—948no—
1276Q8—948no—
1277Q8—1888no—
1278D4—216no—
1279D4—28no—
1280D4—28no—
1281D4—48no—
1282D4—948no—
1283D4—9416no—
1284D4—948no—
1285D4—9416no—
1286D4—9416no—
1287D4—948no—
1288D4—948no—
1289D4—1888no—
1290D4—1888no—
1291D4—1888no—
1292D4—1888no—
1293C2×C4—24no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—24no—
1300C2×C4—28no—
1301C2×C4—28no—
1302C2×C4—48no—
1303C2×C4—48no—
1304C2×C4—472no—
1305C2×C4—472no—
1306C2×C4—474no—
1307C2×C4—472no—
1308C2×C4—472no—
1309C2×C4—474no—
1310C2×C4—474no—
1311C2×C4—472no—
1312C2×C4—9416no—
1313C2×C4—948no—
1314C2×C4—944no—
1315C2×C4—942no—
1316C2×C4—942no—
1317C2×C4—942no—
1318C2×C4—942no—
1319C2×C4—944no—
1320C2×C4—944no—
1321C2×C4—942no—
1322C2×C4—948no—
1323C2×C4—948no—
1324C2×C4—948no—
1325C2×C4—1884no—
1326C2×C4—1888no—
1327C2×C4—1884no—
1328C2×C4—1884no—
1329C2×C4—1884no—
1330C2×C4—1884no—
1331C2×C4—1888no—
1332C2×C4—1884no—
1333C2×C4—1884no—
1334C2×C4—1888no—
1335C2×C4—1888no—
1336C2×C4#1309407014yes—
1337C2×C4C24×D4712yes—
1338C2×C4C24×D4712yes—
1339C2×C4C24×D4714yes—
1340C2×C4C24×D4714yes—
1341C2×C4C24×D4712yes—
1342C2×C4C24×D4714yes—
1343C2×C4C24×D4712yes—
1344C2×C4C24×D4712yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—24no—
1349C22—22no—
1350C22—22no—
1351C22—24no—
1352C22—24no—
1353C22—22no—
1354C22—48no—
1355C22—44no—
1356C22—474no—
1357C22—474no—
1358C22—942no—
1359C22—942no—
1360C22—942no—
1361C22—942no—
1362C22—948no—
1363C22—948no—
1364C22—944no—
1365C22—942no—
1366C22—942no—
1367C22—944no—
1368C22—944no—
1369C22—942no—
1370C22—37616no—
1371C22—18816no—
1372C22—18816no—
1373C22—1888no—
1374C22—1884no—
1375C22C2×#41×D4714yes—
1376C22C2×#41×D4712yes—
1377C22C2×#1309407012yes—
1378C22#1568995812yes—
1379C22C25×D4711yescharacteristic
1380C4—24no—
1381C4—22no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—24no—
1387C4—942no—
1388C4—944no—
1389C4—942no—
1390C4—942no—
1391C4—942no—
1392C4—944no—
1393C4—944no—
1394C4—942no—
1395C4C2×#1309407014yes—
1396C2—24no—
1397C2—44no—
1398C2—42no—
1399C2—944no—
1400C2—944no—
1401C2—1884no—
1402C2—1882no—
1403C2#2025721714yesdirect product factor
1404C2C22×#41×D4711yescharacteristic
1405C2C22×#1309407011yescharacteristic
1406C2C2×#1568995811yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#553C2
socleC23×C47C25
hypercenterC2×#553D47
hypocenterC47C2×#3505
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #20257217C2direct (N × H)
2. C2×#15689825C2semidirect
3. C2×#15689821C2semidirect
4. C2×#15689819C2semidirect
5. C2×#15689812C2semidirect
6. C2×#15689811C2semidirect
7. C2×#15689798C2semidirect
8. C2×#15689796C2semidirect
9. C2×#15689782C2semidirect
10. C2×#15689779C2semidirect
11. C2×#15689770C2semidirect
12. C2×#15689768C2semidirect
13. C2×#15689714C2semidirect
14. C2×#15689709C2semidirect
15. C2×#15689681C2semidirect
16. C2×#15689658C2semidirect
17. C2×#15689655C2semidirect
18. C2×#15689635C2semidirect
19. C2×#15689633C2semidirect
20. C22×#13094004C2semidirect
21. C2×#121×D47C2semidirect
22. C2×#15689595C2semidirect
23. C2×C4×D4×D47C2semidirect
24. C2×C47×#553C2semidirect
25. C22×#10625350C22semidirect
26. C22×#10625352C22semidirect
27. C23×Dic94C22semidirect
30. C22×D4×D47C22semidirect
32. C23×C4×D47C22semidirect
33. #15689825C22semidirect
34. #15689821C22semidirect
35. #15689819C22semidirect
36. #15689812C22semidirect
37. #15689811C22semidirect
38. #15689798C22semidirect
39. #15689796C22semidirect
40. #15689782C22semidirect
41. #15689779C22semidirect
42. #15689770C22semidirect
43. #15689768C22semidirect
44. #15689714C22semidirect
45. #15689709C22semidirect
46. #15689681C22semidirect
47. #15689658C22semidirect
48. #15689655C22semidirect
49. C2×#13094019C22semidirect
50. C2×#13094019C22semidirect
51. C2×#13094019C22semidirect
52. C2×#13094017C22semidirect
53. C2×#13094017C22semidirect
54. C2×#13094016C22semidirect
55. C2×#13094015C22semidirect
56. C2×#13094015C22semidirect
57. C2×#13094012C22semidirect
58. C2×#13094011C22semidirect
59. C2×#13094010C22semidirect
60. C2×#13094010C22semidirect
61. #15689635C22semidirect
62. #15689633C22semidirect
64. C2×#13094009C22semidirect
65. C2×#13094009C22semidirect
66. C2×#13094008C22semidirect
67. C2×#13094008C22semidirect
69. C2×#13094006C22semidirect
70. C2×#13094006C22semidirect
71. C2×#13094006C22semidirect
72. C2×#13094004C22semidirect
73. C2×#13094004C22semidirect
74. C2×#13094004C22semidirect
75. C2×#13094004C22semidirect
76. C2×#13094004C22semidirect
77. C2×#13094004C22semidirect
78. C2×#13094004C22semidirect
79. C2×#13094004C22semidirect
80. C2×#13094003C22semidirect
81. C2×#13094002C22semidirect
82. C2×#13094001C22semidirect
84. C2×#13093999C22semidirect
85. C2×#13093998C22semidirect
86. C2×#13093998C22semidirect
87. C2×#13093998C22semidirect
89. C2×#13093996C22semidirect
90. C2×#13093996C22semidirect
91. C2×#13093996C22semidirect
93. C2×#13093995C22semidirect
94. #121×D47C22semidirect
96. C2×#13093994C22semidirect
98. C2×#13093992C22semidirect
99. #15689595C22semidirect
100. C2×C4×Dic94C22semidirect
101. C2×#13093989C22semidirect
103. C2×C4×D188C22semidirect
104. C2×C4×D188C22semidirect
105. C2×D4×Dic47C22semidirect
106. C2×D4×Dic47C22semidirect
107. C2×D4×Dic47C22semidirect
109. C2×#13093986C22semidirect
110. C2×#13093986C22semidirect
112. C2×C4×C22⋊D47C22semidirect
113. C2×C4×C22⋊D47C22semidirect
114. C2×C4×C22⋊D47C22semidirect
116. C2×(C22⋊D47)⋊C4C22semidirect
117. C2×(C22⋊D47)⋊C4C22semidirect
118. C2×(C22⋊D47)⋊C4C22semidirect
119. C4×D4×D47C22semidirect
120. C2×#13093983C22semidirect
121. C2×#13093982C22semidirect
122. C2×#13093982C22semidirect
123. C2×#13093982C22semidirect
124. C2×#13093981C22semidirect
125. C22×C4⋊Dic47C22semidirect
126. C2×C4⋊C4×D47C22semidirect
127. C2×C4⋊C4×D47C22semidirect
129. C22×(C2×D47)⋊C4C22semidirect
131. C2×C22⋊C4×D47C22semidirect
132. C2×C22⋊C4×D47C22semidirect
133. C2×C22⋊C4×D47C22semidirect
134. C2×C42×D47C22semidirect
135. C47×#553C22semidirect
136. C2×#126×C47C22semidirect
137. C2×#125×C47C22semidirect
138. C2×#123×C47C22semidirect
139. C2×#121×C47C22semidirect
140. C2×#121×C47C22semidirect
141. C2×#121×C47C22semidirect
142. C2×C4×D4×C47C22semidirect
143. C2×C4×D4×C47C22semidirect
144. C2×C4×D4×C47C22semidirect
145. C2×#117×C47C22semidirect
146. C22×C4⋊C4×C47C22semidirect
151. C2×#10625350C23semidirect
153. C2×#10625352C23semidirect
158. C22×Dic94C23semidirect
175. C2×D4×D47C23semidirect
195. C22×C4×D47C23semidirect
196. #13094019C23semidirect
197. #13094019C23semidirect
198. #13094019C23semidirect
199. #13094017C23semidirect
200. #13094017C23semidirect
201. #13094016C23semidirect
202. #13094015C23semidirect
203. #13094015C23semidirect
204. #13094012C23semidirect
205. #13094011C23semidirect
206. #13094010C23semidirect
207. #13094010C23semidirect
209. #13094009C23semidirect
210. #13094009C23semidirect
211. #13094008C23semidirect
212. #13094008C23semidirect
214. #13094006C23semidirect
215. #13094006C23semidirect
216. #13094006C23semidirect
217. #13094004C23semidirect
218. #13094004C23semidirect
219. #13094004C23semidirect
220. #13094004C23semidirect
221. #13094004C23semidirect
222. #13094004C23semidirect
223. #13094004C23semidirect
224. #13094003C23semidirect
225. #13094002C23semidirect
226. #13094001C23semidirect
228. #13093999C23semidirect
229. #13093998C23semidirect
230. #13093998C23semidirect
231. #13093998C23semidirect
233. #13093996C23semidirect
234. #13093996C23semidirect
235. #13093996C23semidirect
237. #13093995C23semidirect
239. #13093994C23semidirect
241. #13093992C23semidirect
242. C4×Dic94C23semidirect
243. #13093989C23semidirect
245. C4×D188C23semidirect
246. C4×D188C23semidirect
247. D4×Dic47C23semidirect
248. D4×Dic47C23semidirect
249. D4×Dic47C23semidirect
251. #13093986C23semidirect
252. #13093986C23semidirect
254. C4×C22⋊D47C23semidirect
255. C4×C22⋊D47C23semidirect
256. C4×C22⋊D47C23semidirect
258. (C22⋊D47)⋊C4C23semidirect
259. (C22⋊D47)⋊C4C23semidirect
260. (C22⋊D47)⋊C4C23semidirect
261. #13093983C23semidirect
262. #13093982C23semidirect
263. #13093982C23semidirect
264. #13093982C23semidirect
265. #13093981C23semidirect
274. C2×C4⋊Dic47C23semidirect
282. C4⋊C4×D47C23semidirect
283. C4⋊C4×D47C23semidirect
307. C2×(C2×D47)⋊C4C23semidirect
309. C22⋊C4×D47C23semidirect
310. C22⋊C4×D47C23semidirect
311. C22⋊C4×D47C23semidirect
318. C42×D47C23semidirect
327. #126×C47C23semidirect
328. #125×C47C23semidirect
329. #123×C47C23semidirect
330. #121×C47C23semidirect
331. #121×C47C23semidirect
332. #121×C47C23semidirect
333. C4×D4×C47C23semidirect
334. C4×D4×C47C23semidirect
335. C4×D4×C47C23semidirect
336. #117×C47C23semidirect
344. C2×C4⋊C4×C47C23semidirect
364. C23×D47#41semidirect
566. C22×D47C2×#41semidirect
697. C2×#553D47semidirect
720. C2×C47#3505semidirect
739. #553C2×D47semidirect
758. C2×#126C2×D47semidirect
762. C2×#125C2×D47semidirect
778. C2×#123C2×D47semidirect
802. C2×#121C2×D47semidirect
803. C2×#121C2×D47semidirect
804. C2×#121C2×D47semidirect
830. C2×C4×D4C2×D47semidirect
831. C2×C4×D4C2×D47semidirect
832. C2×C4×D4C2×D47semidirect
838. C2×#117C2×D47semidirect
842. C22×C4⋊C4C2×D47semidirect
850. C47C2×#3505semidirect
913. #126C22×D47semidirect
917. #125C22×D47semidirect
931. #123C22×D47semidirect
953. #121C22×D47semidirect
954. #121C22×D47semidirect
955. #121C22×D47semidirect
979. C4×D4C22×D47semidirect
980. C4×D4C22×D47semidirect
981. C4×D4C22×D47semidirect
987. #117C22×D47semidirect
1013. C2×C4⋊C4C22×D47semidirect
1403. C2#20257217direct (N × H)

Maximal subgroups

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

subgroupindex
#202572172
C2×#156898252
C2×#156898212
C2×#156898192
C2×#156898122
C2×#156898112
C2×#156897982
C2×#156897962
C2×#156897822
C2×#156897792
C2×#156897702
C2×#156897682
C2×#156897142
C2×#156897092
C2×#156896812
C2×#156896582
C2×#156896552
C2×#156896352
C2×#156896332
C22×#130940042
C2×#121×D472
C2×#156895952
C2×C4×D4×D472
C2×C47×#5532
C2×#350547