Finite Group Databasebeta

← #15618395

Subgroups — #15618395

Order 2816.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic
2#13077615C212yesmaximal, complemented
3#13077613C212yesmaximal, complemented
4#13077611C212yesmaximal, complemented
5#13077604C212yesmaximal, complemented
6#13077602C212yesmaximal, complemented
7#13077595C212yesmaximal, complemented
8#13077586C212yesmaximal, complemented
9#13077584C212yesmaximal, complemented
10M16×Dic22C211yesmaximal, characteristic, complemented
11#13077567C211yesmaximal, characteristic, complemented
12D4×#4318C211yesmaximal, characteristic, complemented
13M16×C22⋊D11C211yesmaximal, characteristic, complemented
14M16×C22⋊D11C211yesmaximal, characteristic, complemented
15#13077348C211yesmaximal, characteristic, complemented
16#13077348C211yesmaximal, characteristic, complemented
17#13077253C211yesmaximal, characteristic, complemented
18#13077251C211yesmaximal, characteristic, complemented
19#13077245C211yesmaximal, characteristic, complemented
20#13077034C211yesmaximal, characteristic, complemented
21#13077033C211yesmaximal, characteristic, complemented
22C2×M16×Dic11C211yesmaximal, characteristic, complemented
23D4×C11×M16C211yesmaximal, characteristic, complemented
24C22×C11×M16C2211yescharacteristic
25C22×C11×M16C2211yescharacteristic
26C2×C4×D4×C11C2211yescharacteristic
27C2×#66992C411yescharacteristic
28C2×#66988C411yescharacteristic
29C2×C4×C22⋊D11C2211yescharacteristic
30C2×C4×C22⋊D11C2211yescharacteristic
31C2×#66979C2211yescharacteristic
32C22×C4×Dic11C2211yescharacteristic
33C22×#4318C2211yescharacteristic
34C22×#4318C2211yescharacteristic
35C2×M16×D11C2211yescharacteristic
36C2×M16×D11C2211yescharacteristic
37#10623069C411yescharacteristic
38#10623069C411yescharacteristic
39#10623069C411yescharacteristic
40#10623069C411yescharacteristic
41#10623069C411yescharacteristic
42#10623069C411yescharacteristic
43#10623069C411yescharacteristic
44#10623069C411yescharacteristic
45#10623069C2211yescharacteristic
46#10623069C2211yescharacteristic
47#10623069C2211yescharacteristic
48#10623069C2211yescharacteristic
49#10623069C2211yescharacteristic
50#10623069C2211yescharacteristic
51#10623069C2211yescharacteristic
52#10623069C2211yescharacteristic
53C2×#66951C411yescharacteristic
54C2×#66942C411yescharacteristic
55C2×#66939C411yescharacteristic
56C2×#66938C411yescharacteristic
57C2×#66932C411yescharacteristic
58C2×#66931C411yescharacteristic
59C2×#66925C2211yescharacteristic
60C2×C4×Dic22C2211yescharacteristic
61C11×#436C2212yescomplemented
62C11×#435C2212yescomplemented
63C11×#435C2212yescomplemented
64C8×D4×C11C2212yescomplemented
65C11×#423C2211yescharacteristic
66C11×#407C2211yescharacteristic
67C11×#407C2211yescharacteristic
68C4×C11×M16C2211yescharacteristic
69#10622820C2211yescharacteristic
70#10622820C2211yescharacteristic
71#10622741C2212yescomplemented
72#10622741C2212yescomplemented
73#10622740C2212yescomplemented
74#10622740C2212yescomplemented
75#10622739C2211yescharacteristic
76#10622739C2211yescharacteristic
77#10622735C2212yescomplemented
78#10622735C2212yescomplemented
79#10622731C2211yescharacteristic
80#10622731C2211yescharacteristic
81#10622731C2211yescharacteristic
82#10622731C2211yescharacteristic
83M16×Dic11C2211yescharacteristic
84M16×Dic11C2211yescharacteristic
85M16×Dic11C2211yescharacteristic
86M16×Dic11C2211yescharacteristic
87M16×Dic11C2211yescharacteristic
88M16×Dic11C2211yescharacteristic
89M16×Dic11C2211yescharacteristic
90M16×Dic11C2211yescharacteristic
91M16×Dic11C2212yescomplemented
92M16×Dic11C2212yescomplemented
93#10622724C2212yescomplemented
94#10622724C2212yescomplemented
95C8×C22⋊D11C2212yescomplemented
96C8×C22⋊D11C2212yescomplemented
97#10622714C2212yescomplemented
98#10622714C2212yescomplemented
99C2×#66879C2212yescomplemented
100C2×C8×Dic11C2212yescomplemented
101#10622625C2212yescomplemented
102#10622624C2212yescomplemented
103#10622624C2212yescomplemented
104D4×C11⋊C8C2212yescomplemented
105#10622537C2211yescharacteristic
106C4×#4318C2211yescharacteristic
107#10622453C2212yescomplemented
108#10622453C2212yescomplemented
109#10622453C2212yescomplemented
110#10622453C2212yescomplemented
111#10622444C2212yescomplemented
112#10622443C2212yescomplemented
113#10622441C2212yescomplemented
114#10622441C2212yescomplemented
115#10622343C2212yescomplemented
116#10622343C2212yescomplemented
117#10622342C2212yescomplemented
118#10622342C2212yescomplemented
119#10622341C2212yescomplemented
120#10622341C2212yescomplemented
121(C22⋊D11)⋊C8C2212yescomplemented
122(C22⋊D11)⋊C8C2212yescomplemented
123#10622333C2212yescomplemented
124#10622333C2212yescomplemented
125#10622333C2212yescomplemented
126#10622333C2212yescomplemented
127#10622332C2212yescomplemented
128#10622332C2212yescomplemented
129#10622331C2212yescomplemented
130#10622331C2212yescomplemented
131#10622321C2212yescomplemented
132#10622321C2212yescomplemented
133#10622314C2212yescomplemented
134#10622314C2212yescomplemented
135#10622302C2212yescomplemented
136#10622302C2212yescomplemented
137#10622292C2212yescomplemented
138C8×Dic22C2212yescomplemented
139C22×D4×C11C2×C411yescharacteristic
140C23×C4×C11C2311yescharacteristic
141C23×C4×C11C2311yescharacteristic
142C22×C22⋊D11C2×C411yescharacteristic
143C22×C22⋊D11C2×C411yescharacteristic
144C23×Dic11C2×C411yescharacteristic
145C23×Dic11C2×C411yescharacteristic
146C22×C4×D11C2311yescharacteristic
147C22×Dic22C2×C411yescharacteristic
148C2×C11×M16—24no—
149C2×C11×M16—24no—
150C2×C11×M16C2311yescharacteristic
151C2×C11×M16C2311yescharacteristic
152C2×C11×M16C2311yescharacteristic
153C2×C11×M16C2312yes—
154C2×C11×M16C2312yes—
155C2×C11×M16C2311yescharacteristic
156C22×C8×C11C2312yes—
157C22×C8×C11C2312yes—
158C4×D4×C11C2×C411yescharacteristic
159C4×D4×C11C2×C411yescharacteristic
160C4×D4×C11C2×C411yescharacteristic
161C4×D4×C11C2×C411yescharacteristic
162C4×D4×C11C2311yescharacteristic
163C4×D4×C11C2311yescharacteristic
164C4×D4×C11C2311yescharacteristic
165C4×D4×C11C2311yescharacteristic
166C2×C11×C4⋊C4C2×C411yescharacteristic
167C2×C11×C22⋊C4C2×C411yescharacteristic
168C2×C11×C22⋊C4C2×C411yescharacteristic
169C2×C42×C11C2311yescharacteristic
170C2×C22⋊Dic11C2×C411yescharacteristic
171C2×C22⋊Dic11C2×C411yescharacteristic
172C2×C22⋊Dic11C2×C411yescharacteristic
173C2×C22⋊Dic11C2×C411yescharacteristic
174#66992C2×C411yescharacteristic
175#66992C2×C411yescharacteristic
176#66992C2×C411yescharacteristic
177#66992C2×C411yescharacteristic
178#66992C2×C411yescharacteristic
179#66992C2×C411yescharacteristic
180#66992C2×C411yescharacteristic
181#66992C2×C411yescharacteristic
182#66988C2×C411yescharacteristic
183#66988C2×C411yescharacteristic
184#66988C2×C411yescharacteristic
185#66988C2×C411yescharacteristic
186#66988C2×C411yescharacteristic
187#66988C2×C411yescharacteristic
188#66988C2×C411yescharacteristic
189#66988C2×C411yescharacteristic
190C4×C22⋊D11C2×C411yescharacteristic
191C4×C22⋊D11C2×C411yescharacteristic
192C4×C22⋊D11C2×C411yescharacteristic
193C4×C22⋊D11C2×C411yescharacteristic
194C4×C22⋊D11C2×C411yescharacteristic
195C4×C22⋊D11C2×C411yescharacteristic
196C4×C22⋊D11C2×C411yescharacteristic
197C4×C22⋊D11C2×C411yescharacteristic
198C4×C22⋊D11C2311yescharacteristic
199C4×C22⋊D11C2311yescharacteristic
200C4×C22⋊D11C2311yescharacteristic
201C4×C22⋊D11C2311yescharacteristic
202C4×C22⋊D11C2311yescharacteristic
203C4×C22⋊D11C2311yescharacteristic
204C4×C22⋊D11C2311yescharacteristic
205C4×C22⋊D11C2311yescharacteristic
206C2×(C2×D11)⋊C4C2×C411yescharacteristic
207C2×(C2×D11)⋊C4C2×C411yescharacteristic
208C2×(C2×D11)⋊C4C2×C411yescharacteristic
209C2×(C2×D11)⋊C4C2×C411yescharacteristic
210#66979C2×C411yescharacteristic
211#66979C2×C411yescharacteristic
212#66979C2×C411yescharacteristic
213#66979C2×C411yescharacteristic
214#66979C2311yescharacteristic
215#66979C2311yescharacteristic
216#66979C2311yescharacteristic
217#66979C2311yescharacteristic
218C2×C4⋊Dic11C2×C411yescharacteristic
219C2×C4⋊Dic11C2×C411yescharacteristic
220C2×C4⋊Dic11C2×C411yescharacteristic
221C2×Dic11⋊C4C2×C411yescharacteristic
222C2×Dic11⋊C4C2×C411yescharacteristic
223C2×Dic11⋊C4C2×C411yescharacteristic
224C2×Dic11⋊C4C2×C411yescharacteristic
225C2×Dic11⋊C4C2×C411yescharacteristic
226C2×Dic11⋊C4C2×C411yescharacteristic
227C2×C4×Dic11C2×C411yescharacteristic
228C2×C4×Dic11C2×C411yescharacteristic
229C2×C4×Dic11C2×C411yescharacteristic
230C2×C4×Dic11C2×C411yescharacteristic
231C2×C4×Dic11C2×C411yescharacteristic
232C2×C4×Dic11C2×C411yescharacteristic
233C2×C4×Dic11C2311yescharacteristic
234C2×C4×Dic11C2311yescharacteristic
235C2×C4×Dic11C2311yescharacteristic
236C2×C4×Dic11C2311yescharacteristic
237C2×C4×Dic11C2311yescharacteristic
238C2×C4×Dic11C2311yescharacteristic
239C2×C4×Dic11C2311yescharacteristic
240C2×#4318—24no—
241C2×#4318—24no—
242C2×#4318C2311yescharacteristic
243C2×#4318C2311yescharacteristic
244C2×#4318C2311yescharacteristic
245C2×#4318C2312yes—
246C2×#4318C2312yes—
247C2×#4318C2311yescharacteristic
248C22×C11⋊C8C2312yes—
249C22×C11⋊C8C2312yes—
250M16×D11—24no—
251M16×D11—24no—
252C2×#4313C2312yes—
253C2×#4313C2312yes—
254C2×C8×D11C2312yes—
255C2×C8×D11C2312yes—
256#66951C2×C411yescharacteristic
257#66951C2×C411yescharacteristic
258#66951C2×C411yescharacteristic
259#66951C2×C411yescharacteristic
260#66951C2×C411yescharacteristic
261#66951C2×C411yescharacteristic
262#66951C2×C411yescharacteristic
263#66951C2×C411yescharacteristic
264#66942C2×C411yescharacteristic
265#66942C2×C411yescharacteristic
266#66942C2×C411yescharacteristic
267#66942C2×C411yescharacteristic
268#66942C2×C411yescharacteristic
269#66942C2×C411yescharacteristic
270#66942C2×C411yescharacteristic
271#66942C2×C411yescharacteristic
272#66939C2×C411yescharacteristic
273#66939C2×C411yescharacteristic
274#66939C2×C411yescharacteristic
275#66939C2×C411yescharacteristic
276#66939C2×C411yescharacteristic
277#66939C2×C411yescharacteristic
278#66939C2×C411yescharacteristic
279#66939C2×C411yescharacteristic
280#66938C2×C411yescharacteristic
281#66938C2×C411yescharacteristic
282#66938C2×C411yescharacteristic
283#66938C2×C411yescharacteristic
284#66938C2×C411yescharacteristic
285#66938C2×C411yescharacteristic
286#66938C2×C411yescharacteristic
287#66938C2×C411yescharacteristic
288#66932C2×C411yescharacteristic
289#66932C2×C411yescharacteristic
290#66932C2×C411yescharacteristic
291#66932C2×C411yescharacteristic
292#66932C2×C411yescharacteristic
293#66932C2×C411yescharacteristic
294#66932C2×C411yescharacteristic
295#66932C2×C411yescharacteristic
296#66931C2×C411yescharacteristic
297#66931C2×C411yescharacteristic
298#66931C2×C411yescharacteristic
299#66931C2×C411yescharacteristic
300#66931C2×C411yescharacteristic
301#66931C2×C411yescharacteristic
302#66931C2×C411yescharacteristic
303#66931C2×C411yescharacteristic
304#66925C2×C411yescharacteristic
305#66925C2×C411yescharacteristic
306#66925C2×C411yescharacteristic
307#66925C2×C411yescharacteristic
308#66925C2311yescharacteristic
309#66925C2311yescharacteristic
310#66925C2311yescharacteristic
311#66925C2311yescharacteristic
312C4×Dic22C2×C411yescharacteristic
313C4×Dic22C2×C411yescharacteristic
314C4×Dic22C2×C411yescharacteristic
315C4×Dic22C2×C411yescharacteristic
316C4×Dic22C2311yescharacteristic
317C4×Dic22C2311yescharacteristic
318C4×Dic22C2311yescharacteristic
319C4×Dic22C2311yescharacteristic
320C11×C4⋊C8C2312yes—
321C11×C4⋊C8C2312yes—
322C11×C22⋊C8C2312yes—
323C11×C22⋊C8C2312yes—
324C11×C22⋊C8C2312yes—
325C11×C22⋊C8C2312yes—
326C11×#97C2312yes—
327C4×C8×C11C2312yes—
328C22⋊(C11⋊C8)C2312yes—
329C22⋊(C11⋊C8)C2312yes—
330C22⋊(C11⋊C8)C2312yes—
331C22⋊(C11⋊C8)C2312yes—
332(C2×D11)⋊C8C2312yes—
333(C2×D11)⋊C8C2312yes—
334(C2×D11)⋊C8C2312yes—
335(C2×D11)⋊C8C2312yes—
336#66879C2312yes—
337#66879C2312yes—
338#66879C2312yes—
339#66879C2312yes—
340#66879C2312yes—
341#66879C2312yes—
342#66879C2312yes—
343#66879C2312yes—
344Dic11⋊C8C2312yes—
345Dic11⋊C8C2312yes—
346Dic11⋊C8C2312yes—
347Dic11⋊C8C2312yes—
348Dic11⋊C8C2312yes—
349Dic11⋊C8C2312yes—
350Dic11⋊C8C2312yes—
351Dic11⋊C8C2312yes—
352C8×Dic11C2312yes—
353C8×Dic11C2312yes—
354C8×Dic11C2312yes—
355C8×Dic11C2312yes—
356C8×Dic11C2312yes—
357C8×Dic11C2312yes—
358C8×Dic11C2312yes—
359C8×Dic11C2312yes—
360C4⋊(C11⋊C8)C2312yes—
361C4⋊(C11⋊C8)C2312yes—
362#66867C2312yes—
363C4×C11⋊C8C2312yes—
364#60214—111nomaximal, Sylow
365C24×C11C22×C411yescharacteristic
366C24×C11C22×C411yescharacteristic
367C23×D11C22×C411yescharacteristic
368C2×D4×C11—42no—
369C2×D4×C11C22×C411yescharacteristic
370C2×D4×C11C22×C411yescharacteristic
371C2×D4×C11C22×C411yescharacteristic
372C2×D4×C11C22×C411yescharacteristic
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11C22×C411yescharacteristic
378C22×C4×C11C22×C411yescharacteristic
379C22×C4×C11C22×C411yescharacteristic
380C22×C4×C11C22×C411yescharacteristic
381C22×C4×C11C22×C411yescharacteristic
382C22×C4×C11C22×C411yescharacteristic
383C22×C4×C11C22×C411yescharacteristic
384C22×C4×C11C22×C411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C2×C22⋊D11—42no—
391C2×C22⋊D11—42no—
392C2×C22⋊D11C22×C411yescharacteristic
393C2×C22⋊D11C22×C411yescharacteristic
394C2×C22⋊D11C22×C411yescharacteristic
395C2×C22⋊D11C22×C411yescharacteristic
396C2×C22⋊D11C22×C411yescharacteristic
397C2×C22⋊D11C22×C411yescharacteristic
398C2×C22⋊D11C22×C411yescharacteristic
399C2×C22⋊D11C22×C411yescharacteristic
400C22×Dic11—42no—
401C22×Dic11—42no—
402C22×Dic11C22×C411yescharacteristic
403C22×Dic11C22×C411yescharacteristic
404C22×Dic11C22×C411yescharacteristic
405C22×Dic11C22×C411yescharacteristic
406C22×Dic11C22×C411yescharacteristic
407C22×Dic11C22×C411yescharacteristic
408C22×Dic11C22×C411yescharacteristic
409C22×Dic11C22×C411yescharacteristic
410C22×Dic11C22×C411yescharacteristic
411C22×Dic11C22×C411yescharacteristic
412C22×Dic11C22×C411yescharacteristic
413C22×Dic11C22×C411yescharacteristic
414C22×Dic11C22×C411yescharacteristic
415C22×Dic11C22×C411yescharacteristic
416C22×Dic11C22×C411yescharacteristic
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11C22×C411yescharacteristic
420C2×C4×D11C22×C411yescharacteristic
421C2×C4×D11C2411yescharacteristic
422C2×C4×D11C2411yescharacteristic
423C2×Dic22—42no—
424C2×Dic22C22×C411yescharacteristic
425C2×Dic22C22×C411yescharacteristic
426C2×Dic22C22×C411yescharacteristic
427C2×Dic22C22×C411yescharacteristic
428C11×M16—24no—
429C11×M16—24no—
430C11×M16—22no—
431C11×M16—22no—
432C11×M16—22no—
433C11×M16#4114yes—
434C2×C8×C11—24no—
435C2×C8×C11—24no—
436C2×C8×C11C2412yes—
437C2×C8×C11C2412yes—
438C2×C8×C11C2412yes—
439C2×C8×C11C2412yes—
440C11×C4⋊C4C22×C411yescharacteristic
441C11×C4⋊C4C22×C411yescharacteristic
442C11×C4⋊C4C22×C411yescharacteristic
443C11×C4⋊C4C22×C411yescharacteristic
444C11×C22⋊C4C22×C411yescharacteristic
445C11×C22⋊C4C22×C411yescharacteristic
446C11×C22⋊C4C22×C411yescharacteristic
447C11×C22⋊C4C22×C411yescharacteristic
448C11×C22⋊C4C22×C411yescharacteristic
449C11×C22⋊C4C22×C411yescharacteristic
450C11×C22⋊C4C22×C411yescharacteristic
451C11×C22⋊C4C22×C411yescharacteristic
452C42×C11C22×C411yescharacteristic
453C42×C11C22×C411yescharacteristic
454C42×C11C2411yescharacteristic
455C42×C11C2411yescharacteristic
456C22⋊Dic11C22×C411yescharacteristic
457C22⋊Dic11C22×C411yescharacteristic
458C22⋊Dic11C22×C411yescharacteristic
459C22⋊Dic11C22×C411yescharacteristic
460C22⋊Dic11C22×C411yescharacteristic
461C22⋊Dic11C22×C411yescharacteristic
462C22⋊Dic11C22×C411yescharacteristic
463C22⋊Dic11C22×C411yescharacteristic
464C22⋊Dic11C22×C411yescharacteristic
465C22⋊Dic11C22×C411yescharacteristic
466C22⋊Dic11C22×C411yescharacteristic
467C22⋊Dic11C22×C411yescharacteristic
468C22⋊Dic11C22×C411yescharacteristic
469C22⋊Dic11C22×C411yescharacteristic
470C22⋊Dic11C22×C411yescharacteristic
471C22⋊Dic11C22×C411yescharacteristic
472(C2×D11)⋊C4C22×C411yescharacteristic
473(C2×D11)⋊C4C22×C411yescharacteristic
474(C2×D11)⋊C4C22×C411yescharacteristic
475(C2×D11)⋊C4C22×C411yescharacteristic
476(C2×D11)⋊C4C22×C411yescharacteristic
477(C2×D11)⋊C4C22×C411yescharacteristic
478(C2×D11)⋊C4C22×C411yescharacteristic
479(C2×D11)⋊C4C22×C411yescharacteristic
480(C2×D11)⋊C4C22×C411yescharacteristic
481(C2×D11)⋊C4C22×C411yescharacteristic
482(C2×D11)⋊C4C22×C411yescharacteristic
483(C2×D11)⋊C4C22×C411yescharacteristic
484(C2×D11)⋊C4C22×C411yescharacteristic
485(C2×D11)⋊C4C22×C411yescharacteristic
486(C2×D11)⋊C4C22×C411yescharacteristic
487(C2×D11)⋊C4C22×C411yescharacteristic
488C4⋊Dic11C22×C411yescharacteristic
489C4⋊Dic11C22×C411yescharacteristic
490C4⋊Dic11C22×C411yescharacteristic
491C4⋊Dic11C22×C411yescharacteristic
492C4⋊Dic11C22×C411yescharacteristic
493C4⋊Dic11C22×C411yescharacteristic
494C4⋊Dic11C22×C411yescharacteristic
495C4⋊Dic11C22×C411yescharacteristic
496C4⋊Dic11C22×C411yescharacteristic
497C4⋊Dic11C22×C411yescharacteristic
498C4⋊Dic11C22×C411yescharacteristic
499C4⋊Dic11C22×C411yescharacteristic
500Dic11⋊C4C22×C411yescharacteristic
501Dic11⋊C4C22×C411yescharacteristic
502Dic11⋊C4C22×C411yescharacteristic
503Dic11⋊C4C22×C411yescharacteristic
504Dic11⋊C4C22×C411yescharacteristic
505Dic11⋊C4C22×C411yescharacteristic
506Dic11⋊C4C22×C411yescharacteristic
507Dic11⋊C4C22×C411yescharacteristic
508Dic11⋊C4C22×C411yescharacteristic
509Dic11⋊C4C22×C411yescharacteristic
510Dic11⋊C4C22×C411yescharacteristic
511Dic11⋊C4C22×C411yescharacteristic
512Dic11⋊C4C22×C411yescharacteristic
513Dic11⋊C4C22×C411yescharacteristic
514Dic11⋊C4C22×C411yescharacteristic
515Dic11⋊C4C22×C411yescharacteristic
516Dic11⋊C4C22×C411yescharacteristic
517Dic11⋊C4C22×C411yescharacteristic
518Dic11⋊C4C22×C411yescharacteristic
519Dic11⋊C4C22×C411yescharacteristic
520Dic11⋊C4C22×C411yescharacteristic
521Dic11⋊C4C22×C411yescharacteristic
522Dic11⋊C4C22×C411yescharacteristic
523Dic11⋊C4C22×C411yescharacteristic
524C4×Dic11C22×C411yescharacteristic
525C4×Dic11C22×C411yescharacteristic
526C4×Dic11C22×C411yescharacteristic
527C4×Dic11C22×C411yescharacteristic
528C4×Dic11C22×C411yescharacteristic
529C4×Dic11C22×C411yescharacteristic
530C4×Dic11C22×C411yescharacteristic
531C4×Dic11C22×C411yescharacteristic
532C4×Dic11C22×C411yescharacteristic
533C4×Dic11C22×C411yescharacteristic
534C4×Dic11C22×C411yescharacteristic
535C4×Dic11C22×C411yescharacteristic
536C4×Dic11C22×C411yescharacteristic
537C4×Dic11C22×C411yescharacteristic
538C4×Dic11C2411yescharacteristic
539C4×Dic11C2411yescharacteristic
540C4×Dic11C2411yescharacteristic
541C4×Dic11C2411yescharacteristic
542C4×Dic11C2411yescharacteristic
543C4×Dic11C2411yescharacteristic
544#4318—24no—
545#4318—24no—
546#4318—22no—
547#4318—22no—
548#4318—22no—
549#4318#4114yes—
550C2×C11⋊C8—24no—
551C2×C11⋊C8—24no—
552C2×C11⋊C8C2412yes—
553C2×C11⋊C8C2412yes—
554C2×C11⋊C8C2412yes—
555C2×C11⋊C8C2412yes—
556#4313—24no—
557#4313—24no—
558C8×D11—24no—
559C8×D11—24no—
560C2×#529—111no—
561#2969—112no—
562#2969—112no—
563#2968—112no—
564#2968—112no—
565#2967—112no—
566#2967—112no—
567#2966—112no—
568#2966—112no—
569Q8×M16—111no—
570Q8×M16—111no—
571D4×M16—111no—
572D4×M16—111no—
573D4×M16—111no—
574D4×M16—111no—
575D4×M16—111no—
576D4×M16D1111yescharacteristic, complemented
577#2921—111no—
578#2921—111no—
579#2920—111no—
580#2873—111no—
581#2873—111no—
582C2×C4×M16—111no—
583C23×C11—22no—
584C23×C11—22no—
585C23×C11—22no—
586C23×C11—41no—
587C23×C11—41no—
588C23×C11—41no—
589C23×C11C23×C411yescharacteristic
590C23×C11C23×C411yescharacteristic
591C23×C11C23×C411yescharacteristic
592C23×C11C23×C411yescharacteristic
593C23×C11C23×C411yescharacteristic
594C22×D11—22no—
595C22×D11—41no—
596C22×D11—41no—
597C22×D11C23×C411yescharacteristic
598C22×D11C23×C411yescharacteristic
599D4×C11—22no—
600D4×C11—22no—
601D4×C11—41no—
602D4×C11—41no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—22no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—41no—
618C2×C4×C11—41no—
619C2×C4×C11C23×C411yescharacteristic
620C2×C4×C11C23×C411yescharacteristic
621C2×C4×C11C23×C411yescharacteristic
622C2×C4×C11C23×C411yescharacteristic
623C2×C4×C11C23×C411yescharacteristic
624C2×C4×C11C23×C411yescharacteristic
625C2×C4×C11C23×C411yescharacteristic
626C2×C4×C11C23×C411yescharacteristic
627C2×C4×C11C23×C411yescharacteristic
628C2×C4×C11C2×#4112yes—
629C2×C4×C11C2×#4112yes—
630C2×C4×C11C2511yescharacteristic
631C22⋊D11—22no—
632C22⋊D11—22no—
633C22⋊D11—22no—
634C22⋊D11—22no—
635C22⋊D11—41no—
636C22⋊D11—41no—
637C22⋊D11—41no—
638C22⋊D11—41no—
639C2×Dic11—22no—
640C2×Dic11—22no—
641C2×Dic11—22no—
642C2×Dic11—22no—
643C2×Dic11—22no—
644C2×Dic11—22no—
645C2×Dic11—41no—
646C2×Dic11—41no—
647C2×Dic11—41no—
648C2×Dic11—41no—
649C2×Dic11—41no—
650C2×Dic11—41no—
651C2×Dic11—41no—
652C2×Dic11—41no—
653C2×Dic11—41no—
654C2×Dic11C23×C411yescharacteristic
655C2×Dic11C23×C411yescharacteristic
656C2×Dic11C23×C411yescharacteristic
657C2×Dic11C23×C411yescharacteristic
658C2×Dic11C23×C411yescharacteristic
659C2×Dic11C23×C411yescharacteristic
660C2×Dic11C23×C411yescharacteristic
661C2×Dic11C23×C411yescharacteristic
662C2×Dic11C23×C411yescharacteristic
663C2×Dic11C23×C411yescharacteristic
664C2×Dic11C23×C411yescharacteristic
665C2×Dic11C23×C411yescharacteristic
666C2×Dic11C23×C411yescharacteristic
667C2×Dic11C23×C411yescharacteristic
668C4×D11—22no—
669C4×D11—22no—
670C4×D11—21no—
671C4×D11—21no—
672C4×D11—21no—
673C4×D11—21no—
674Dic22—22no—
675Dic22—22no—
676Dic22—41no—
677Dic22—41no—
678C8×C11—22no—
679C8×C11—22no—
680C8×C11—22no—
681C8×C11C2×#4114yes—
682C11⋊C8—22no—
683C11⋊C8—22no—
684C11⋊C8—22no—
685C11⋊C8C2×#4114yes—
686C22×M16—111no—
687C22×M16—111no—
688C22×M16—111no—
689C22×M16—111no—
690C22×M16C2×D1111yescharacteristic
691C22×M16C2×D1111yescharacteristic
692#529—111no—
693#529—111no—
694#529—111no—
695#529—111no—
696#529—111no—
697#529—111no—
698#529—111no—
699#529—111no—
700#529—111no—
701#529—111no—
702#529—111no—
703#529—111no—
704#529—111no—
705#529—111no—
706#529—111no—
707#529—111no—
708C2×#126—111no—
709C2×#126—111no—
710C2×#125—111no—
711C2×#124—111no—
712C2×#123—111no—
713C2×#123—111no—
714C2×C22⋊Q8—111no—
715C2×#121—111no—
716C2×C4×Q8—111no—
717C2×C4×D4—111no—
718C2×C4×D4—111no—
719C2×C4×D4C2×D1111yescharacteristic
720C2×#117—111no—
721C2×#117—111no—
722C22×C42—111no—
723#446—112no—
724#446—112no—
725#446—112no—
726#446—112no—
727#446—112no—
728#446—112no—
729C8×Q8—112no—
730C8×Q8—112no—
731#436—112no—
732#436—112no—
733#436—112no—
734#436—112no—
735#436—112no—
736#436C2×D1112yescomplemented
737#435—112no—
738#435—112no—
739#435—112no—
740#435—112no—
741#435—112no—
742#435—112no—
743#435—112no—
744#435—112no—
745#435—112no—
746#435—112no—
747#435C2×D1112yescomplemented
748#435C2×D1112yescomplemented
749C8×D4—112no—
750C8×D4—112no—
751C8×D4—112no—
752C8×D4—112no—
753C8×D4—112no—
754C8×D4C2×D1112yescomplemented
755#433—112no—
756#433—112no—
757#433—112no—
758#433—112no—
759#433—112no—
760#433—112no—
761#433—112no—
762#433—112no—
763#432—112no—
764#432—112no—
765#431—112no—
766#431—112no—
767#423—111no—
768#423—111no—
769#423—111no—
770#423—111no—
771#423—111no—
772#423C2×D1111yescharacteristic
773#407—111no—
774#407—111no—
775#407—111no—
776#407—111no—
777#407C2×D1111yescharacteristic
778#407C2×D1111yescharacteristic
779#405—112no—
780#405—112no—
781#405—112no—
782#405—112no—
783#405—112no—
784#405—112no—
785#405—112no—
786#405—112no—
787C4×M16—111no—
788C4×M16—111no—
789C4×M16—111no—
790C4×M16—111no—
791C4×M16—111no—
792C4×M16—111no—
793C4×M16—111no—
794C4×M16—111no—
795C4×M16—112no—
796C4×M16—112no—
797C4×M16—111no—
798C4×M16C2×D1111yescharacteristic
799C2×#97—112no—
800C2×C4×C8—112no—
801C22×C11—21no—
802C22×C11—21no—
803C22×C11—21no—
804C22×C11—21no—
805C22×C11—21no—
806C22×C11—21no—
807C22×C11—21no—
808C22×C11—21no—
809C22×C11—21no—
810C22×C11—21no—
811C22×C11—21no—
812C22×C11—21no—
813C22×C11—21no—
814C22×C11—44no—
815C22×C11—82no—
816C22×C11C4×#4112yes—
817C22×C11#56812yes—
818C22×C11C24×C411yescharacteristic
819C2×D11—21no—
820C2×D11—21no—
821C2×D11—21no—
822C2×D11—21no—
823C2×D11—21no—
824C2×D11—21no—
825C2×D11—82no—
826C4×C11—21no—
827C4×C11—21no—
828C4×C11—21no—
829C4×C11—21no—
830C4×C11—21no—
831C4×C11—21no—
832C4×C11—21no—
833C4×C11—21no—
834C4×C11C4×#4112yes—
835C4×C11C22×#4111yescharacteristic
836C4×C11C22×#4111yescharacteristic
837Dic11—21no—
838Dic11—21no—
839Dic11—21no—
840Dic11—21no—
841Dic11—21no—
842Dic11—21no—
843Dic11—21no—
844Dic11—21no—
845Dic11—21no—
846Dic11—21no—
847Dic11—21no—
848Dic11—21no—
849Dic11—21no—
850Dic11#56812yes—
851C22×Q8—111no—
852C22×D4—111no—
853C22×D4—111no—
854C22×D4C4×D1111yescharacteristic
855C23×C4—111no—
856C23×C4—111no—
857C23×C4—111no—
858C23×C4C22×D1111yescharacteristic
859C23×C4C22×D1111yescharacteristic
860C2×M16—24no—
861C2×M16—24no—
862C2×M16—111no—
863C2×M16—111no—
864C2×M16—111no—
865C2×M16—111no—
866C2×M16—112no—
867C2×M16—112no—
868C2×M16—112no—
869C2×M16—112no—
870C2×M16—224no—
871C2×M16—224no—
872C2×M16—224no—
873C2×M16—224no—
874C2×M16C22×D1111yescharacteristic
875C2×M16C22×D1111yescharacteristic
876C2×M16C22×D1111yescharacteristic
877C2×M16C22×D1112yes—
878C2×M16C22×D1112yes—
879C2×M16C22×D1111yescharacteristic
880C22×C8—112no—
881C22×C8—112no—
882C22×C8—112no—
883C22×C8—112no—
884C22×C8C22×D1112yes—
885C22×C8C22×D1112yes—
886#126—111no—
887#126—111no—
888#126—111no—
889#126—111no—
890#126—111no—
891#126—111no—
892#126—111no—
893#126—111no—
894#126—111no—
895#126—111no—
896#126—111no—
897#126—111no—
898#126—111no—
899#126—111no—
900#126—111no—
901#126—111no—
902#125—111no—
903#125—111no—
904#125—111no—
905#125—111no—
906#125—111no—
907#125—111no—
908#125—111no—
909#125—111no—
910#124—111no—
911#124—111no—
912#124—111no—
913#124—111no—
914#124—111no—
915#124—111no—
916#124—111no—
917#124—111no—
918#123—111no—
919#123—111no—
920#123—111no—
921#123—111no—
922#123—111no—
923#123—111no—
924#123—111no—
925#123—111no—
926#123—111no—
927#123—111no—
928#123—111no—
929#123—111no—
930#123—111no—
931#123—111no—
932#123—111no—
933#123—111no—
934C22⋊Q8—111no—
935C22⋊Q8—111no—
936C22⋊Q8—111no—
937C22⋊Q8—111no—
938C22⋊Q8—111no—
939C22⋊Q8—111no—
940C22⋊Q8—111no—
941C22⋊Q8—111no—
942#121—111no—
943#121—111no—
944#121—111no—
945#121—111no—
946#121—111no—
947#121—111no—
948#121—111no—
949#121—111no—
950C4×Q8—111no—
951C4×Q8—111no—
952C4×Q8—111no—
953C4×Q8—111no—
954C4×Q8—111no—
955C4×Q8—111no—
956C4×Q8—111no—
957C4×Q8—111no—
958C4×D4—111no—
959C4×D4—111no—
960C4×D4—111no—
961C4×D4—111no—
962C4×D4—111no—
963C4×D4—111no—
964C4×D4—111no—
965C4×D4—111no—
966C4×D4—111no—
967C4×D4—111no—
968C4×D4—111no—
969C4×D4—111no—
970C4×D4—111no—
971C4×D4—111no—
972C4×D4—111no—
973C4×D4—111no—
974C4×D4C4×D1111yescharacteristic
975C4×D4C4×D1111yescharacteristic
976C4×D4C4×D1111yescharacteristic
977C4×D4C4×D1111yescharacteristic
978C4×D4C22×D1111yescharacteristic
979C4×D4C22×D1111yescharacteristic
980C4×D4C22×D1111yescharacteristic
981C4×D4C22×D1111yescharacteristic
982#117—111no—
983#117—111no—
984#117—111no—
985#117—111no—
986#117—111no—
987#117—111no—
988#117—111no—
989#117—111no—
990#117—111no—
991#117—111no—
992#117—111no—
993#117—111no—
994#117—111no—
995#117—111no—
996#117—111no—
997#117—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4C4×D1111yescharacteristic
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4C4×D1111yescharacteristic
1017C2×C22⋊C4C4×D1111yescharacteristic
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42C22×D1111yescharacteristic
1032C4⋊C8—112no—
1033C4⋊C8—112no—
1034C4⋊C8—112no—
1035C4⋊C8—112no—
1036C4⋊C8—112no—
1037C4⋊C8—112no—
1038C4⋊C8—112no—
1039C4⋊C8—112no—
1040C4⋊C8—112no—
1041C4⋊C8—112no—
1042C4⋊C8C22×D1112yes—
1043C4⋊C8C22×D1112yes—
1044C22⋊C8—112no—
1045C22⋊C8—112no—
1046C22⋊C8—112no—
1047C22⋊C8—112no—
1048C22⋊C8—112no—
1049C22⋊C8—112no—
1050C22⋊C8—112no—
1051C22⋊C8—112no—
1052C22⋊C8C22×D1112yes—
1053C22⋊C8C22×D1112yes—
1054C22⋊C8C22×D1112yes—
1055C22⋊C8C22×D1112yes—
1056#97—112no—
1057#97—112no—
1058#97—112no—
1059#97—112no—
1060#97—112no—
1061#97—112no—
1062#97—112no—
1063#97—112no—
1064#97—112no—
1065#97C22×D1112yes—
1066C4×C8—112no—
1067C4×C8—112no—
1068C4×C8—112no—
1069C4×C8—112no—
1070C4×C8—112no—
1071C4×C8—112no—
1072C4×C8—112no—
1073C4×C8—112no—
1074C4×C8—112no—
1075C4×C8C22×D1112yes—
1076C2×C11—22no—
1077C2×C11—22no—
1078C2×C11—41no—
1079C2×C11—41no—
1080C2×C11—41no—
1081C2×C11C2×C4×#4111yescharacteristic
1082C2×C11C2×#56811yescharacteristic
1083C2×C11C2×#56811yescharacteristic
1084D11—41no—
1085D11—41no—
1086C24—111no—
1087C24C2×C4×D1111yescharacteristic
1088C24C2×C4×D1111yescharacteristic
1089C2×Q8—111no—
1090C2×Q8—111no—
1091C2×Q8—111no—
1092C2×Q8—111no—
1093C2×Q8—442no—
1094C2×D4—42no—
1095C2×D4—111no—
1096C2×D4—111no—
1097C2×D4—111no—
1098C2×D4—111no—
1099C2×D4—111no—
1100C2×D4—111no—
1101C2×D4—111no—
1102C2×D4—111no—
1103C2×D4—442no—
1104C2×D4—442no—
1105C2×D4C2×C4×D1111yescharacteristic
1106C2×D4C2×C4×D1111yescharacteristic
1107C2×D4C2×C4×D1111yescharacteristic
1108C2×D4C2×C4×D1111yescharacteristic
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—442no—
1135C22×C4—442no—
1136C22×C4C2×C4×D1111yescharacteristic
1137C22×C4C2×C4×D1111yescharacteristic
1138C22×C4C2×C4×D1111yescharacteristic
1139C22×C4C2×C4×D1111yescharacteristic
1140C22×C4C2×C4×D1111yescharacteristic
1141C22×C4C2×C4×D1111yescharacteristic
1142C22×C4C2×C4×D1111yescharacteristic
1143C22×C4C2×C4×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149M16—22no—
1150M16—22no—
1151M16—22no—
1152M16—24no—
1153M16—24no—
1154M16—114no—
1155M16—224no—
1156M16—224no—
1157M16—224no—
1158M16—222no—
1159M16—222no—
1160M16—222no—
1161M16—224no—
1162M16#434114yes—
1163C2×C8—24no—
1164C2×C8—24no—
1165C2×C8—112no—
1166C2×C8—112no—
1167C2×C8—112no—
1168C2×C8—112no—
1169C2×C8—224no—
1170C2×C8—224no—
1171C2×C8—224no—
1172C2×C8—224no—
1173C2×C8C23×D1112yes—
1174C2×C8C23×D1112yes—
1175C2×C8C23×D1112yes—
1176C2×C8C23×D1112yes—
1177C4⋊C4—111no—
1178C4⋊C4—111no—
1179C4⋊C4—111no—
1180C4⋊C4—111no—
1181C4⋊C4—111no—
1182C4⋊C4—111no—
1183C4⋊C4—111no—
1184C4⋊C4—111no—
1185C4⋊C4—111no—
1186C4⋊C4—111no—
1187C4⋊C4—111no—
1188C4⋊C4—111no—
1189C4⋊C4—111no—
1190C4⋊C4—111no—
1191C4⋊C4—111no—
1192C4⋊C4—111no—
1193C4⋊C4—111no—
1194C4⋊C4—111no—
1195C4⋊C4—111no—
1196C4⋊C4—111no—
1197C4⋊C4—111no—
1198C4⋊C4—111no—
1199C4⋊C4—111no—
1200C4⋊C4—111no—
1201C4⋊C4—111no—
1202C4⋊C4—111no—
1203C4⋊C4—111no—
1204C4⋊C4—111no—
1205C4⋊C4—111no—
1206C4⋊C4—111no—
1207C4⋊C4—111no—
1208C4⋊C4—111no—
1209C4⋊C4—111no—
1210C4⋊C4—111no—
1211C4⋊C4—111no—
1212C4⋊C4—111no—
1213C4⋊C4C2×C4×D1111yescharacteristic
1214C4⋊C4C2×C4×D1111yescharacteristic
1215C4⋊C4C2×C4×D1111yescharacteristic
1216C4⋊C4C2×C4×D1111yescharacteristic
1217C22⋊C4—111no—
1218C22⋊C4—111no—
1219C22⋊C4—111no—
1220C22⋊C4—111no—
1221C22⋊C4—111no—
1222C22⋊C4—111no—
1223C22⋊C4—111no—
1224C22⋊C4—111no—
1225C22⋊C4—111no—
1226C22⋊C4—111no—
1227C22⋊C4—111no—
1228C22⋊C4—111no—
1229C22⋊C4—111no—
1230C22⋊C4—111no—
1231C22⋊C4—111no—
1232C22⋊C4—111no—
1233C22⋊C4—111no—
1234C22⋊C4—111no—
1235C22⋊C4—111no—
1236C22⋊C4—111no—
1237C22⋊C4—111no—
1238C22⋊C4—111no—
1239C22⋊C4—111no—
1240C22⋊C4—111no—
1241C22⋊C4—111no—
1242C22⋊C4—111no—
1243C22⋊C4—111no—
1244C22⋊C4—111no—
1245C22⋊C4—111no—
1246C22⋊C4—111no—
1247C22⋊C4—111no—
1248C22⋊C4—111no—
1249C22⋊C4C2×C4×D1111yescharacteristic
1250C22⋊C4C2×C4×D1111yescharacteristic
1251C22⋊C4C2×C4×D1111yescharacteristic
1252C22⋊C4C2×C4×D1111yescharacteristic
1253C22⋊C4C2×C4×D1111yescharacteristic
1254C22⋊C4C2×C4×D1111yescharacteristic
1255C22⋊C4C2×C4×D1111yescharacteristic
1256C22⋊C4C2×C4×D1111yescharacteristic
1257C42—111no—
1258C42—111no—
1259C42—111no—
1260C42—111no—
1261C42—111no—
1262C42—111no—
1263C42—111no—
1264C42—111no—
1265C42—111no—
1266C42—111no—
1267C42—111no—
1268C42—111no—
1269C42—111no—
1270C42—111no—
1271C42—111no—
1272C42—111no—
1273C42—111no—
1274C42—111no—
1275C42—111no—
1276C42—111no—
1277C42C2×C4×D1111yescharacteristic
1278C42C2×C4×D1111yescharacteristic
1279C42C23×D1111yescharacteristic
1280C42C23×D1111yescharacteristic
1281C11#6021411yescharacteristic, complemented, Sylow
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—111no—
1289C23—111no—
1290C23—222no—
1291C23—441no—
1292C23—441no—
1293C23C22×C4×D1111yescharacteristic
1294C23C22×C4×D1111yescharacteristic
1295C23C22×C4×D1111yescharacteristic
1296C23C22×C4×D1111yescharacteristic
1297C23C22×C4×D1111yescharacteristic
1298Q8—222no—
1299Q8—222no—
1300Q8—441no—
1301Q8—441no—
1302D4—22no—
1303D4—22no—
1304D4—41no—
1305D4—41no—
1306D4—222no—
1307D4—222no—
1308D4—222no—
1309D4—222no—
1310D4—441no—
1311D4—441no—
1312D4—441no—
1313D4—441no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—111no—
1331C2×C4—111no—
1332C2×C4—111no—
1333C2×C4—111no—
1334C2×C4—111no—
1335C2×C4—111no—
1336C2×C4—111no—
1337C2×C4—111no—
1338C2×C4—111no—
1339C2×C4—111no—
1340C2×C4—111no—
1341C2×C4—111no—
1342C2×C4—111no—
1343C2×C4—111no—
1344C2×C4—222no—
1345C2×C4—222no—
1346C2×C4—222no—
1347C2×C4—222no—
1348C2×C4—222no—
1349C2×C4—222no—
1350C2×C4—222no—
1351C2×C4—222no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—441no—
1357C2×C4—441no—
1358C2×C4—441no—
1359C2×C4—441no—
1360C2×C4—441no—
1361C2×C4—441no—
1362C2×C4—441no—
1363C2×C4—441no—
1364C2×C4—441no—
1365C2×C4C22×C4×D1111yescharacteristic
1366C2×C4C22×C4×D1111yescharacteristic
1367C2×C4C22×C4×D1111yescharacteristic
1368C2×C4C22×C4×D1111yescharacteristic
1369C2×C4C22×C4×D1111yescharacteristic
1370C2×C4C22×C4×D1111yescharacteristic
1371C2×C4C22×C4×D1111yescharacteristic
1372C2×C4C22×C4×D1111yescharacteristic
1373C2×C4C22×C4×D1111yescharacteristic
1374C2×C4C2×#434112yes—
1375C2×C4#41×D1112yes—
1376C2×C4C24×D1111yescharacteristic
1377C8—22no—
1378C8—22no—
1379C8—22no—
1380C8—114no—
1381C8—222no—
1382C8—222no—
1383C8—222no—
1384C8C2×#434114yes—
1385C22—21no—
1386C22—21no—
1387C22—21no—
1388C22—21no—
1389C22—21no—
1390C22—21no—
1391C22—21no—
1392C22—21no—
1393C22—21no—
1394C22—21no—
1395C22—21no—
1396C22—21no—
1397C22—21no—
1398C22—44no—
1399C22—82no—
1400C22—221no—
1401C22—221no—
1402C22—221no—
1403C22—221no—
1404C22—221no—
1405C22—221no—
1406C22—882no—
1407C22C4×#434112yes—
1408C22#1062327612yes—
1409C22C23×C4×D1111yescharacteristic
1410C4—21no—
1411C4—21no—
1412C4—21no—
1413C4—21no—
1414C4—21no—
1415C4—21no—
1416C4—21no—
1417C4—21no—
1418C4—112no—
1419C4—221no—
1420C4—221no—
1421C4—221no—
1422C4—221no—
1423C4—221no—
1424C4—221no—
1425C4—221no—
1426C4—221no—
1427C4—221no—
1428C4—221no—
1429C4—221no—
1430C4—221no—
1431C4—221no—
1432C4C4×#434112yes—
1433C4C22×#434111yescharacteristic
1434C4C2×#41×D1111yescharacteristic
1435C2—22no—
1436C2—22no—
1437C2—41no—
1438C2—41no—
1439C2—41no—
1440C2—441no—
1441C2—441no—
1442C2C2×C4×#434111yescharacteristic
1443C2D11×#56811yescharacteristic
1444C2C2×#1062327611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D11
commutator, socleC22×C11C24×C4
FittingD4×C11×M16C2
prime radicalC2×#66992C4
cosocleC2×C4×C11C25
hypercenterD4×M16D11
hypocenterC11#60214
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ D4×M16

Complements

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

NH ≅ G/Ntype
2. #13077615C2semidirect
3. #13077613C2semidirect
4. #13077611C2semidirect
5. #13077604C2semidirect
6. #13077602C2semidirect
7. #13077595C2semidirect
8. #13077586C2semidirect
9. #13077584C2semidirect
10. M16×Dic22C2semidirect
11. #13077567C2semidirect
12. D4×#4318C2semidirect
13. M16×C22⋊D11C2semidirect
14. M16×C22⋊D11C2semidirect
15. #13077348C2semidirect
16. #13077348C2semidirect
17. #13077253C2semidirect
18. #13077251C2semidirect
19. #13077245C2semidirect
20. #13077034C2semidirect
21. #13077033C2semidirect
22. C2×M16×Dic11C2semidirect
23. D4×C11×M16C2semidirect
61. C11×#436C22semidirect
62. C11×#435C22semidirect
63. C11×#435C22semidirect
64. C8×D4×C11C22semidirect
71. #10622741C22semidirect
72. #10622741C22semidirect
73. #10622740C22semidirect
74. #10622740C22semidirect
77. #10622735C22semidirect
78. #10622735C22semidirect
91. M16×Dic11C22semidirect
92. M16×Dic11C22semidirect
93. #10622724C22semidirect
94. #10622724C22semidirect
95. C8×C22⋊D11C22semidirect
96. C8×C22⋊D11C22semidirect
97. #10622714C22semidirect
98. #10622714C22semidirect
99. C2×#66879C22semidirect
100. C2×C8×Dic11C22semidirect
101. #10622625C22semidirect
102. #10622624C22semidirect
103. #10622624C22semidirect
104. D4×C11⋊C8C22semidirect
107. #10622453C22semidirect
108. #10622453C22semidirect
109. #10622453C22semidirect
110. #10622453C22semidirect
111. #10622444C22semidirect
112. #10622443C22semidirect
113. #10622441C22semidirect
114. #10622441C22semidirect
115. #10622343C22semidirect
116. #10622343C22semidirect
117. #10622342C22semidirect
118. #10622342C22semidirect
119. #10622341C22semidirect
120. #10622341C22semidirect
121. (C22⋊D11)⋊C8C22semidirect
122. (C22⋊D11)⋊C8C22semidirect
123. #10622333C22semidirect
124. #10622333C22semidirect
125. #10622333C22semidirect
126. #10622333C22semidirect
127. #10622332C22semidirect
128. #10622332C22semidirect
129. #10622331C22semidirect
130. #10622331C22semidirect
131. #10622321C22semidirect
132. #10622321C22semidirect
133. #10622314C22semidirect
134. #10622314C22semidirect
135. #10622302C22semidirect
136. #10622302C22semidirect
137. #10622292C22semidirect
138. C8×Dic22C22semidirect
576. D4×M16D11semidirect
736. #436C2×D11semidirect
747. #435C2×D11semidirect
748. #435C2×D11semidirect
754. C8×D4C2×D11semidirect
1281. C11#60214semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
#130776152
#130776132
#130776112
#130776042
#130776022
#130775952
#130775862
#130775842
M16×Dic222
#130775672
D4×#43182
M16×C22⋊D112
#130773482
#130772532
#130772512
#130772452
#130770342
#130770332
C2×M16×Dic112
D4×C11×M162
#6021411