Finite Group Databasebeta

← #14914644

Subgroups — #14914644

Order 2816.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623237C211yesmaximal, characteristic
2#13071750C211yesmaximal, characteristic, complemented
3#13071748C211yesmaximal, characteristic, complemented
4#13071745C211yesmaximal, characteristic, complemented
5#13071744C211yesmaximal, characteristic, complemented
6#13071724C211yesmaximal, characteristic, complemented
7#13071723C211yesmaximal, characteristic, complemented
8#13071719C211yesmaximal, characteristic, complemented
9#13071718C211yesmaximal, characteristic, complemented
10#13071570C211yesmaximal, characteristic, complemented
11#13071569C211yesmaximal, characteristic, complemented
12#13071562C211yesmaximal, characteristic, complemented
13#13071561C211yesmaximal, characteristic, complemented
14#13071544C211yesmaximal, characteristic, complemented
15#13071540C211yesmaximal, characteristic, complemented
16#13071539C211yesmaximal, characteristic, complemented
17#13071539C211yesmaximal, characteristic, complemented
18#13071379C211yesmaximal, characteristic
19#13071376C211yesmaximal, characteristic
20#13071370C211yesmaximal, characteristic, complemented
21#13071367C211yesmaximal, characteristic, complemented
22#13071222C211yesmaximal, characteristic, complemented
23#13071220C211yesmaximal, characteristic, complemented
24#126×Dic11C211yesmaximal, characteristic, complemented
25C4×#66929C211yesmaximal, characteristic, complemented
26#13071164C211yesmaximal, characteristic, complemented
27#13071013C211yesmaximal, characteristic, complemented
28#13070971C211yesmaximal, characteristic, complemented
29#13070970C211yesmaximal, characteristic, complemented
30C4×#66925C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C22×Dic11⋊C4C2211yescharacteristic
34#10623237C4116yescomplemented
35C2×#66949C2211yescharacteristic
36C2×#66947C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×#66942C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66938C2211yescharacteristic
43C2×#66937C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×#66930C2211yescharacteristic
48C2×#66930C2211yescharacteristic
49C2×#66929C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C2×#66925C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#383C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C43×C11C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622826C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622601C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622589C2211yescharacteristic
82#10622589C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87#10622587C2211yescharacteristic
88#10622571C2211yescharacteristic
89#10622571C2211yescharacteristic
90#10622570C2211yescharacteristic
91#10622570C2211yescharacteristic
92#10622569C2211yescharacteristic
93#10622569C2211yescharacteristic
94#10622564C2211yescharacteristic
95#10622564C2211yescharacteristic
96#10622564C2211yescharacteristic
97#10622558C2211yescharacteristic
98#10622557C2211yescharacteristic
99#10622555C2211yescharacteristic
100#10622555C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104C22⋊C4×Dic11C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622552C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119#10622550C2211yescharacteristic
120C4×C4⋊Dic11C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622545C2211yescharacteristic
127#10622545C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622542C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622268C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×#126C2×C418yescomplemented
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×Dic11⋊C4—24no—
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297#66949C2×C418yescomplemented
298#66947C2×C418yescomplemented
299#66946C2×C418yescomplemented
300#66945C2×C418yescomplemented
301C4⋊C4×D11—24no—
302#66942C2×C418yescomplemented
303#66940C2×C418yescomplemented
304#66938C2×C418yes—
305#66937C2×C418yes—
306#66936C2×C418yescomplemented
307(C22⋊D11)⋊C4C2×C418yes—
308(C22⋊D11)⋊C4C2×C418yescomplemented
309#66930—24no—
310#66930C2×C418yescomplemented
311#66929C2×C418yescomplemented
312#66925—24no—
313#66925—24no—
314#66925—24no—
315C42×D11C2×C418yescomplemented
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34244—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C22×C4×C11—22no—
369C22×C4×C11—41no—
370C22×C4×C11—41no—
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C2×C22⋊D11—41no—
386C2×C22⋊D11—41no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11C22×C414yes—
390C2×C22⋊D11C22×C414yes—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11C22×C414yes—
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×D44—41no—
412C2×D44—41no—
413C2×D44C22×C414yes—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11C22×C414yes—
429C2×C4×D11C22×C414yes—
430C2×C4×D11C22×C414yes—
431C2×C4×D11C22×C414yes—
432C2×Dic22—41no—
433C2×Dic22—41no—
434C2×Dic22C22×C414yes—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4C22×C414yes—
439C11×C4⋊C4C22×C414yes—
440C11×C4⋊C4C22×C414yes—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4C22×C414yes—
445C11×C22⋊C4C22×C414yes—
446C11×C22⋊C4C22×C414yes—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—22no—
450C42×C11—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C42×C11—41no—
455C42×C11—41no—
456C42×C11C22×C414yes—
457C22⋊Dic11—22no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11C22×C414yes—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4C22×C414yes—
476(C2×D11)⋊C4C22×C414yes—
477(C2×D11)⋊C4C22×C414yes—
478(C2×D11)⋊C4C22×C414yes—
479(C2×D11)⋊C4C22×C414yes—
480(C2×D11)⋊C4C22×C414yes—
481C4⋊Dic11—22no—
482C4⋊Dic11—41no—
483C4⋊Dic11—41no—
484C4⋊Dic11C22×C414yes—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4C22×C414yes—
498Dic11⋊C4C22×C414yes—
499Dic11⋊C4C22×C414yes—
500Dic11⋊C4C22×C414yes—
501Dic11⋊C4C22×C414yes—
502Dic11⋊C4C22×C414yes—
503Dic11⋊C4#4114yes—
504Dic11⋊C4#4114yes—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11C22×C414yes—
525C4×Dic11C22×C414yes—
526C4×Dic11C22×C414yes—
527C4×Dic11C22×C414yes—
528C4×Dic11C22×C414yes—
529C2×#529—111no—
530#2374—111no—
531#2374—111no—
532#2374—111no—
533#2374—111no—
534#2372—111no—
535#2372—111no—
536#2371—111no—
537#2371—111no—
538#2355—111no—
539#2355—111no—
540#2354—111no—
541#2354—111no—
542#2352—111no—
543#2352—111no—
544#2352—111no—
545#2352—111no—
546#2333—111no—
547#2333—111no—
548#2332—111no—
549#2332—111no—
550#2314—111no—
551#2314—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×#126—111no—
555C4×#126D1111yescharacteristic, complemented
556#2283—111no—
557#2274—111no—
558#2274—111no—
559C4×#117—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C23×C412yes—
567C23×C11C2511yescharacteristic
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11C23×C412yes—
581C22×D11C23×C412yes—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
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—82no—
617C2×C4×C11C23×C412yes—
618C2×C4×C11C23×C412yes—
619C2×C4×C11C23×C412yes—
620C2×C4×C11C23×C412yes—
621C2×C4×C11C23×C412yes—
622C2×C4×C11C23×C412yes—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C22⋊D11—44no—
626C22⋊D11—44no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—28no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—82no—
661C2×Dic11C23×C412yes—
662C2×Dic11C23×C412yes—
663C2×Dic11C23×C412yes—
664C2×Dic11C23×C412yes—
665C2×Dic11C23×C412yes—
666C2×Dic11C23×C412yes—
667C2×Dic11C2×#4112yes—
668C2×Dic11C2×#4112yes—
669C2×Dic11C2×#4112yes—
670C2×Dic11C2×#4112yes—
671D44—44no—
672C4×D11—28no—
673C4×D11—28no—
674C4×D11—44no—
675C4×D11—44no—
676C4×D11—82no—
677C4×D11—82no—
678Dic22—44no—
679#529—1116no—
680C2×#126—111no—
681C2×#126C2×D1111yescharacteristic
682C2×#125—111no—
683C2×#124—111no—
684C2×#123—111no—
685C2×#123—111no—
686C2×C22⋊Q8—111no—
687C2×#121—111no—
688C2×C4×Q8—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×#117—111no—
693C2×#117—111no—
694C2×#117—111no—
695C2×#117—111no—
696C2×#117—111no—
697C2×#117—111no—
698C22×C4⋊C4—111no—
699C22×C4⋊C4—111no—
700C22×C42—111no—
701#391—111no—
702#391—111no—
703#391—111no—
704#391—111no—
705#390—111no—
706#390—111no—
707#390—111no—
708#390—111no—
709#388—111no—
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388C2×D1111yescharacteristic
731#388C2×D1111yescharacteristic
732#388C2×D1111yescharacteristic
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387C2×D1111yescharacteristic
755#387C2×D1111yescharacteristic
756#387C2×D1111yescharacteristic
757#386—111no—
758#386—111no—
759#386—111no—
760#386—111no—
761#386—111no—
762#386—111no—
763#386—111no—
764#386—111no—
765#384—111no—
766#384—111no—
767#383—111no—
768#383C2×D1111yescharacteristic
769#382—111no—
770#382—111no—
771#382—111no—
772#382—111no—
773#381—111no—
774#381—111no—
775#380—111no—
776#380—111no—
777#380—111no—
778#380—111no—
779#380—111no—
780#380—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4C2×D1111yescharacteristic
805C4×C4⋊C4C2×D1111yescharacteristic
806C4×C4⋊C4C2×D1111yescharacteristic
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4C2×D1111yescharacteristic
827C4×C22⋊C4C2×D1111yescharacteristic
828C4×C22⋊C4C2×D1111yescharacteristic
829#376—111no—
830#376—111no—
831#376—111no—
832#376—111no—
833C43—111no—
834C43C2×D1111yescharacteristic
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11C24×C411yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11#58511yescharacteristic
846C22×C11#58511yescharacteristic
847C22×C11#58511yescharacteristic
848C22×C11#58511yescharacteristic
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—22no—
852C2×D11—22no—
853C2×D11—22no—
854C2×D11—22no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C2×D11—41no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877Dic11—22no—
878Dic11—22no—
879Dic11—22no—
880Dic11—22no—
881Dic11—22no—
882Dic11—22no—
883Dic11—22no—
884Dic11—41no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11C4×#4114yes—
891C22×Q8—111no—
892C22×D4—111no—
893C22×D4—111no—
894C22×D4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4—111no—
899C23×C4—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4C22×D1111yescharacteristic
904#126—118no—
905#126C4×D1118yescomplemented
906#125—118no—
907#124—118no—
908#123—118no—
909#123—118no—
910C22⋊Q8—118no—
911#121—118no—
912C4×Q8—118no—
913C4×D4—118no—
914C4×D4—118no—
915C4×D4—118no—
916#117—118no—
917#117—118no—
918#117—224no—
919#117—224no—
920#117—224no—
921#117—224no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—224no—
947C2×C4⋊C4—224no—
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4C22×D1111yescharacteristic
979C2×C22⋊C4C22×D1111yescharacteristic
980C2×C22⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—118no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067C2×C11—42no—
1068C2×C11C2×C4×#4111yescharacteristic
1069C2×C11#342811yescharacteristic
1070C2×C11#342811yescharacteristic
1071C2×C11#352111yescharacteristic
1072C2×C11#352111yescharacteristic
1073C2×C11#352411yescharacteristic
1074C2×C11#352411yescharacteristic
1075D11—42no—
1076D11—42no—
1077C24—111no—
1078C24—111no—
1079C24C23×D1111yescharacteristic
1080C2×Q8—114no—
1081C2×Q8—441no—
1082C2×Q8—441no—
1083C2×D4—114no—
1084C2×D4—114no—
1085C2×D4—114no—
1086C2×D4—441no—
1087C2×D4—441no—
1088C2×D4—441no—
1089C2×D4—441no—
1090C2×D4—441no—
1091C2×D4—441no—
1092C22×C4—22no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—111no—
1096C22×C4—114no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—114no—
1105C22×C4—114no—
1106C22×C4—114no—
1107C22×C4—114no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4—441no—
1127C22×C4—441no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C4⋊C4—22no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—114no—
1151C4⋊C4—114no—
1152C4⋊C4—114no—
1153C4⋊C4—114no—
1154C4⋊C4—114no—
1155C4⋊C4—114no—
1156C4⋊C4—114no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4C2×C4×D1114yes—
1175C4⋊C4C2×C4×D1114yes—
1176C4⋊C4C2×C4×D1114yes—
1177C22⋊C4—22no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—114no—
1181C22⋊C4—114no—
1182C22⋊C4—114no—
1183C22⋊C4—114no—
1184C22⋊C4—114no—
1185C22⋊C4—114no—
1186C22⋊C4—114no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—222no—
1192C22⋊C4—222no—
1193C22⋊C4—222no—
1194C22⋊C4—441no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4—441no—
1204C22⋊C4C2×C4×D1114yes—
1205C22⋊C4C2×C4×D1114yes—
1206C22⋊C4C2×C4×D1114yes—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—41no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C42—41no—
1215C42—41no—
1216C42—114no—
1217C42—114no—
1218C42—114no—
1219C42—114no—
1220C42—114no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—441no—
1227C42—441no—
1228C42—441no—
1229C42—441no—
1230C42—441no—
1231C42—441no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42—441no—
1236C42—441no—
1237C42—441no—
1238C42—441no—
1239C42—441no—
1240C42C2×C4×D1114yes—
1241C11#3424411yescharacteristic, complemented, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—112no—
1249C23—112no—
1250C23—221no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23C22×C4×D1112yes—
1263C23C24×D1111yescharacteristic
1264Q8—444no—
1265D4—444no—
1266D4—444no—
1267D4—444no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—82no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—228no—
1314C2×C4—228no—
1315C2×C4—228no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—444no—
1349C2×C4—444no—
1350C2×C4—882no—
1351C2×C4—882no—
1352C2×C4—882no—
1353C2×C4C22×C4×D1112yes—
1354C2×C4C22×C4×D1112yes—
1355C2×C4C22×C4×D1112yes—
1356C2×C4C22×C4×D1112yes—
1357C2×C4C22×C4×D1112yes—
1358C2×C4C22×C4×D1112yes—
1359C2×C4#41×D1112yes—
1360C2×C4#41×D1112yes—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—222no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—222no—
1373C22—222no—
1374C22—441no—
1375C22—441no—
1376C22—441no—
1377C22—441no—
1378C22—441no—
1379C22—441no—
1380C22—441no—
1381C22—441no—
1382C22C23×C4×D1111yescharacteristic
1383C22C2×#41×D1111yescharacteristic
1384C22C2×#41×D1111yescharacteristic
1385C22#1062345311yescharacteristic
1386C22#1062345311yescharacteristic
1387C22#1062345311yescharacteristic
1388C22#1062345311yescharacteristic
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—114no—
1404C4—222no—
1405C4—222no—
1406C4—222no—
1407C4—222no—
1408C4—222no—
1409C4—222no—
1410C4—222no—
1411C4—441no—
1412C4—441no—
1413C4—441no—
1414C4—441no—
1415C4—441no—
1416C4—441no—
1417C2—42no—
1418C2—442no—
1419C2—442no—
1420C2C4×#41×D1111yescharacteristic
1421C2#1308181511yescharacteristic
1422C2#1308181511yescharacteristic
1423C2#1308267011yescharacteristic
1424C2#1308267611yescharacteristic
1425C2#1308271511yescharacteristic
1426C2#1308272111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#126C2
socle, cosocleC23×C11C25
prime radicalC2×#66937C22
hypercenterC4×#126D11
hypocenterC11#34244
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #13071750C2semidirect
3. #13071748C2semidirect
4. #13071745C2semidirect
5. #13071744C2semidirect
6. #13071724C2semidirect
7. #13071723C2semidirect
8. #13071719C2semidirect
9. #13071718C2semidirect
10. #13071570C2semidirect
11. #13071569C2semidirect
12. #13071562C2semidirect
13. #13071561C2semidirect
14. #13071544C2semidirect
15. #13071540C2semidirect
16. #13071539C2semidirect
17. #13071539C2semidirect
20. #13071370C2semidirect
21. #13071367C2semidirect
22. #13071222C2semidirect
23. #13071220C2semidirect
24. #126×Dic11C2semidirect
25. C4×#66929C2semidirect
26. #13071164C2semidirect
27. #13071013C2semidirect
28. #13070971C2semidirect
29. #13070970C2semidirect
30. C4×#66925C2semidirect
31. C4×C11×#126C2semidirect
34. #10623237C4semidirect
201. C11×#126C2×C4semidirect
297. #66949C2×C4semidirect
298. #66947C2×C4semidirect
299. #66946C2×C4semidirect
300. #66945C2×C4semidirect
302. #66942C2×C4semidirect
303. #66940C2×C4semidirect
306. #66936C2×C4semidirect
308. (C22⋊D11)⋊C4C2×C4semidirect
310. #66930C2×C4semidirect
311. #66929C2×C4semidirect
315. C42×D11C2×C4semidirect
555. C4×#126D11semidirect
905. #126C4×D11semidirect
1241. C11#34244semidirect

Maximal subgroups

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

subgroupindex
C2×#106232372
#130717502
#130717482
#130717452
#130717442
#130717242
#130717232
#130717192
#130717182
#130715702
#130715692
#130715622
#130715612
#130715442
#130715402
#130715392
#130713792
#130713762
#130713702
#130713672
#130712222
#130712202
#126×Dic112
C4×#669292
#130711642
#130710132
#130709712
#130709702
C4×#669252
C4×C11×#1262
#3424411