Finite Group Databasebeta

← #14914406

Subgroups — #14914406

Order 2816.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623187C211yesmaximal, characteristic
2#13071700C211yesmaximal, characteristic, complemented
3#13071693C211yesmaximal, characteristic, complemented
4#13071667C211yesmaximal, characteristic, complemented
5#13071660C211yesmaximal, characteristic, complemented
6#13071598C211yesmaximal, characteristic, complemented
7#13071596C211yesmaximal, characteristic, complemented
8#13071593C211yesmaximal, characteristic, complemented
9#13071592C211yesmaximal, characteristic, complemented
10#13071586C211yesmaximal, characteristic, complemented
11#13071585C211yesmaximal, characteristic, complemented
12#13071555C211yesmaximal, characteristic, complemented
13#13071550C211yesmaximal, characteristic, complemented
14#13071474C211yesmaximal, characteristic, complemented
15#13071470C211yesmaximal, characteristic, complemented
16#13071442C211yesmaximal, characteristic, complemented
17#13071441C211yesmaximal, characteristic, complemented
18#13071379C211yesmaximal, characteristic, complemented
19#13071376C211yesmaximal, characteristic, complemented
20#13071370C211yesmaximal, characteristic, complemented
21#13071367C211yesmaximal, characteristic, complemented
22#13071248C211yesmaximal, characteristic, complemented
23#13071246C211yesmaximal, characteristic, complemented
24#123×Dic11C211yesmaximal, characteristic, complemented
25C4×#66982C211yesmaximal, characteristic, complemented
26#13071133C211yesmaximal, characteristic, complemented
27D11×#381C211yesmaximal, characteristic, complemented
28#13070976C211yesmaximal, characteristic, complemented
29#13070975C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
31C4×C11×#123C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45#10623187C4116yescomplemented
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66935C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66930C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#381C2211yescharacteristic
69C4×C11×C4⋊C4C2211yescharacteristic, complemented
70C4×C11×C4⋊C4C2211yescharacteristic, complemented
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic, complemented
78#10622824C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622601C2211yescharacteristic
89#10622600C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622590C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622587C2211yescharacteristic, complemented
99#10622571C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic, complemented
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic, complemented
107#10622569C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic, complemented
110#10622563C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622556C2211yescharacteristic
113#10622556C2211yescharacteristic
114#10622556C2211yescharacteristic, complemented
115#10622555C2211yescharacteristic, complemented
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic, complemented
119C22⋊C4×Dic11C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic, complemented
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic, complemented
124#10622553C2211yescharacteristic, complemented
125#10622552C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143#10622545C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147#10622542C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic, complemented
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C2×#4341—42no—
204C2×#4341—42no—
205C2×#4341C2×C418yescomplemented
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11—42no—
209C22×C4×D11—42no—
210C22×C4×D11C2×C418yescomplemented
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#123C2×C418yescomplemented
224C4×D4×C11—42no—
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11—42no—
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#66990C2×C418yescomplemented
253D4×Dic11—42no—
254#66982C2×C418yescomplemented
255C4×C22⋊D11—24no—
256C4×C22⋊D11—42no—
257C2×(C2×D11)⋊C4—24no—
258C2×(C2×D11)⋊C4—24no—
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11—42no—
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66949C2×C418yescomplemented
313#66949C2×C418yescomplemented
314#66946—24no—
315#66946C2×C418yescomplemented
316#66946C2×C418yescomplemented
317#66937C2×C418yescomplemented
318#66937C2×C418yescomplemented
319#66935C2×C418yescomplemented
320(C22⋊D11)⋊C4—24no—
321(C22⋊D11)⋊C4—42no—
322(C22⋊D11)⋊C4C2×C418yescomplemented
323(C22⋊D11)⋊C4C2×C418yescomplemented
324C22⋊C4×D11—42no—
325C22⋊C4×D11—42no—
326#66930C2×C418yescomplemented
327C4×D44—24no—
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
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34228—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11C22×C414yes—
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11C22×C414yes—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11C22×C414yes—
443C22×Dic11C22×C414yes—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457#4341—416no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44C22×C414yes—
463C2×D44C22×C414yes—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—416no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11C22×C414yes—
494C2×C4×D11C22×C414yes—
495C2×C4×D11C22×C414yes—
496C2×C4×D11C22×C414yes—
497C2×C4×D11C22×C414yes—
498C2×Dic22—41no—
499C2×Dic22—41no—
500C2×Dic22C22×C414yes—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4C22×C414yes—
505C11×C4⋊C4C22×C414yes—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4C22×C414yes—
512C11×C22⋊C4C22×C414yes—
513C11×C22⋊C4C22×C414yes—
514C42×C11—22no—
515C42×C11—41no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11C22×C414yes—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545(C2×D11)⋊C4C22×C414yes—
546(C2×D11)⋊C4C22×C414yes—
547(C2×D11)⋊C4C22×C414yes—
548(C2×D11)⋊C4C22×C414yes—
549(C2×D11)⋊C4#4114yescomplemented
550(C2×D11)⋊C4#4114yescomplemented
551C4⋊Dic11—22no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4C22×C414yes—
561Dic11⋊C4C22×C414yes—
562Dic11⋊C4C22×C414yes—
563Dic11⋊C4C22×C414yes—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11C22×C414yes—
578C4×Dic11C22×C414yes—
579C2×#525—111no—
580#2368—111no—
581#2368—111no—
582#2364—111no—
583#2364—111no—
584#2358—111no—
585#2358—111no—
586#2358—111no—
587#2358—111no—
588#2357—111no—
589#2357—111no—
590#2353—111no—
591#2353—111no—
592#2343—111no—
593#2343—111no—
594#2339—111no—
595#2339—111no—
596#2333—111no—
597#2333—111no—
598#2332—111no—
599#2332—111no—
600#2318—111no—
601#2318—111no—
602C4×#123—111no—
603C4×#123—111no—
604C4×#123—111no—
605C4×#123D1111yescharacteristic, complemented
606C2×#381—111no—
607#2275—111no—
608#2275—111no—
609C2×C4×C22⋊C4—111no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11H(5,𝔽2)12yes—
623C23×C11H(5,𝔽2)12yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—28no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—28no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11C23×C412yes—
649C22×D11C23×C412yes—
650C22×D11C23×C412yes—
651C22×D11C2×#4112yes—
652C22×D11C2×#4112yes—
653D4×C11—28no—
654C2×C4×C11—28no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11—82no—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C23×C412yes—
694C2×C4×C11C23×C412yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C22⋊D11—28no—
698C22⋊D11—28no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C2×Dic11—28no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—44no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11C23×C412yes—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11C2×#4112yes—
745D44—28no—
746D44—44no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—82no—
753C4×D11—82no—
754C4×D11—82no—
755C4×D11—82no—
756C4×D11—82no—
757C4×D11—82no—
758Dic22—44no—
759C22×#41—111no—
760C24×C4—111no—
761#525—1116no—
762C2×#123—111no—
763C2×#123C2×D1111yescharacteristic
764C2×C22⋊Q8—111no—
765C2×C22⋊Q8—111no—
766C2×#121—111no—
767C2×#121—111no—
768C2×#120—111no—
769C2×#120—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4C2×D1111yescharacteristic
782C2×#117—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C42—111no—
788C22×C42C2×D1111yescharacteristic
789#391—111no—
790#391—111no—
791#391—111no—
792#391—111no—
793#390—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388C2×D1111yescharacteristic, complemented
812#388C2×D1111yescharacteristic, complemented
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387C2×D1111yescharacteristic, complemented
828#387C2×D1111yescharacteristic, complemented
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386C2×D1111yescharacteristic
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385C2×D1111yescharacteristic
853#383—111no—
854#383—111no—
855#382—111no—
856#382—111no—
857#381—111no—
858#381—111no—
859#381—111no—
860#381—111no—
861#381—111no—
862#381—111no—
863#381—111no—
864#381—111no—
865#381—111no—
866#381C2×D1111yescharacteristic
867#380—111no—
868#380—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4C2×D1111yescharacteristic, complemented
878C4×C4⋊C4C2×D1111yescharacteristic, complemented
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4C2×D1111yescharacteristic
903C4×C22⋊C4C2×D1111yescharacteristic, complemented
904C4×C22⋊C4C2×D1111yescharacteristic, complemented
905#376—111no—
906#376—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95—111no—
910C2×#95—111no—
911C2×#95—111no—
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11#51814yes—
929C22×C11C24×C411yescharacteristic
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11#58511yescharacteristic
935C22×C11#58511yescharacteristic
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—416no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11C4×#4114yes—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984C25—111no—
985C2×#41—118no—
986C2×#41—442no—
987C2×#41—442no—
988C22×Q8—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4C22×D1111yescharacteristic
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—118no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—442no—
1014C23×C4—442no—
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C23×C4C22×D1111yescharacteristic
1018C23×C4C22×D1111yescharacteristic
1019#123—118no—
1020#123C4×D1118yescomplemented
1021C22⋊Q8—118no—
1022C22⋊Q8—118no—
1023#121—118no—
1024#121—118no—
1025#120—118no—
1026#120—118no—
1027C4×D4—42no—
1028C4×D4—118no—
1029C4×D4—118no—
1030C4×D4—118no—
1031C4×D4—118no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C4×D4—442no—
1039#117—118no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—224no—
1089C2×C22⋊C4—224no—
1090C2×C22⋊C4—442no—
1091C2×C22⋊C4—442no—
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C42—42no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—442no—
1117C2×C42C22×D1111yescharacteristic
1118C2×C42C22×D1111yescharacteristic
1119C2×C42C22×D1111yescharacteristic
1120C2×C42C22×D1111yescharacteristic
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172C2×C11—24no—
1173C2×C11—42no—
1174C2×C11C2×C4×#4111yescharacteristic
1175C2×C11C2×#51811yescharacteristic
1176C2×C11#342811yescharacteristic
1177C2×C11#351311yescharacteristic
1178C2×C11#351311yescharacteristic
1179C2×C11#351311yescharacteristic
1180C2×C11#351311yescharacteristic
1181D11—24no—
1182D11—42no—
1183D11—42no—
1184C24—111no—
1185C24—111no—
1186C24—111no—
1187C24—114no—
1188C24—222no—
1189C24—222no—
1190C24—222no—
1191C24—222no—
1192C24—441no—
1193C24—441no—
1194C24C23×D1111yescharacteristic
1195C24C23×D1111yescharacteristic
1196#41—4416no—
1197C2×Q8—114no—
1198C2×Q8—441no—
1199C2×Q8—441no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—114no—
1203C2×D4—114no—
1204C2×D4—114no—
1205C2×D4—114no—
1206C2×D4—114no—
1207C2×D4—114no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—441no—
1215C2×D4—441no—
1216C2×D4—441no—
1217C2×D4—441no—
1218C2×D4—441no—
1219C2×D4—441no—
1220C2×D4C2×C4×D1114yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—114no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—114no—
1244C22×C4—114no—
1245C22×C4—114no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—4416no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4C2×C4×D1114yes—
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—114no—
1312C4⋊C4—114no—
1313C4⋊C4—114no—
1314C4⋊C4—114no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4C2×C4×D1114yes—
1325C4⋊C4C2×C4×D1114yes—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—114no—
1332C22⋊C4—114no—
1333C22⋊C4—114no—
1334C22⋊C4—114no—
1335C22⋊C4—114no—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4C2×C4×D1114yes—
1362C22⋊C4C2×C4×D1114yes—
1363C22⋊C4C2×C4×D1114yes—
1364C42—22no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—114no—
1372C42—114no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C11#3422811yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—112no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—112no—
1402C23—228no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—228no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—444no—
1421C23—444no—
1422C23—444no—
1423C23—444no—
1424C23—444no—
1425C23C22×C4×D1112yes—
1426C23C22×C4×D1112yes—
1427C23#6703712yes—
1428C23#6704212yes—
1429C23C24×D1111yescharacteristic
1430Q8—444no—
1431D4—28no—
1432D4—228no—
1433D4—228no—
1434D4—228no—
1435D4—444no—
1436D4—444no—
1437D4—444no—
1438C2×C4—28no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—82no—
1474C2×C4—112no—
1475C2×C4—112no—
1476C2×C4—112no—
1477C2×C4—112no—
1478C2×C4—112no—
1479C2×C4—112no—
1480C2×C4—112no—
1481C2×C4—228no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—444no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4—444no—
1522C2×C4—882no—
1523C2×C4—882no—
1524C2×C4—882no—
1525C2×C4—882no—
1526C2×C4—882no—
1527C2×C4—882no—
1528C2×C4—882no—
1529C2×C4C22×C4×D1112yes—
1530C2×C4C22×C4×D1112yes—
1531C2×C4C22×C4×D1112yes—
1532C2×C4C22×C4×D1112yes—
1533C2×C4C22×C4×D1112yes—
1534C2×C4#41×D1112yes—
1535C2×C4#41×D1112yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—114no—
1550C22—222no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—4416no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22#1062307614yes—
1572C22C23×C4×D1111yescharacteristic
1573C22C2×#6703711yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22C2×#41×D1111yescharacteristic
1576C22C2×#6704211yescharacteristic
1577C22#1062345311yescharacteristic
1578C22#1062345311yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—222no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—222no—
1598C4—222no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C2—24no—
1606C2—42no—
1607C2—224no—
1608C2—442no—
1609C2—442no—
1610C2C4×#41×D1111yescharacteristic
1611C2C2×#1062307611yescharacteristic
1612C2#1308181511yescharacteristic
1613C2#1308254211yescharacteristic
1614C2#1308254811yescharacteristic
1615C2#1308255011yescharacteristic
1616C2#1308256011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#123C2
socle, cosocleC23×C11C25
prime radicalC2×#10623187C2
hypercenterC4×#123D11
hypocenterC11#34228
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #13071700C2semidirect
3. #13071693C2semidirect
4. #13071667C2semidirect
5. #13071660C2semidirect
6. #13071598C2semidirect
7. #13071596C2semidirect
8. #13071593C2semidirect
9. #13071592C2semidirect
10. #13071586C2semidirect
11. #13071585C2semidirect
12. #13071555C2semidirect
13. #13071550C2semidirect
14. #13071474C2semidirect
15. #13071470C2semidirect
16. #13071442C2semidirect
17. #13071441C2semidirect
18. #13071379C2semidirect
19. #13071376C2semidirect
20. #13071370C2semidirect
21. #13071367C2semidirect
22. #13071248C2semidirect
23. #13071246C2semidirect
24. #123×Dic11C2semidirect
25. C4×#66982C2semidirect
26. #13071133C2semidirect
27. D11×#381C2semidirect
28. #13070976C2semidirect
29. #13070975C2semidirect
30. C2×C4×(C2×D11)⋊C4C2semidirect
31. C4×C11×#123C2semidirect
45. #10623187C4semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
69. C4×C11×C4⋊C4C22semidirect
70. C4×C11×C4⋊C4C22semidirect
72. C4×C11×C22⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
77. #10622826C22semidirect
83. C2×C11⋊#95C22semidirect
89. #10622600C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622590C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622587C22semidirect
101. #10622571C22semidirect
106. #10622569C22semidirect
107. #10622569C22semidirect
108. #10622564C22semidirect
109. #10622564C22semidirect
114. #10622556C22semidirect
115. #10622555C22semidirect
118. C22⋊C4×Dic11C22semidirect
119. C22⋊C4×Dic11C22semidirect
120. C22⋊C4×Dic11C22semidirect
123. #10622553C22semidirect
124. #10622553C22semidirect
136. C4×(C2×D11)⋊C4C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622546C22semidirect
143. #10622545C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. #10622542C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
158. #10622279C22semidirect
159. #10622279C22semidirect
168. #10622277C22semidirect
173. D11×#95C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
205. C2×#4341C2×C4semidirect
210. C22×C4×D11C2×C4semidirect
223. C11×#123C2×C4semidirect
252. #66990C2×C4semidirect
254. #66982C2×C4semidirect
312. #66949C2×C4semidirect
313. #66949C2×C4semidirect
315. #66946C2×C4semidirect
316. #66946C2×C4semidirect
317. #66937C2×C4semidirect
318. #66937C2×C4semidirect
319. #66935C2×C4semidirect
322. (C22⋊D11)⋊C4C2×C4semidirect
323. (C22⋊D11)⋊C4C2×C4semidirect
326. #66930C2×C4semidirect
549. (C2×D11)⋊C4#41semidirect
550. (C2×D11)⋊C4#41semidirect
605. C4×#123D11semidirect
811. #388C2×D11semidirect
812. #388C2×D11semidirect
827. #387C2×D11semidirect
828. #387C2×D11semidirect
877. C4×C4⋊C4C2×D11semidirect
878. C4×C4⋊C4C2×D11semidirect
903. C4×C22⋊C4C2×D11semidirect
904. C4×C22⋊C4C2×D11semidirect
1020. #123C4×D11semidirect
1386. C11#34228semidirect

Maximal subgroups

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

subgroupindex
C2×#106231872
#130717002
#130716932
#130716672
#130716602
#130715982
#130715962
#130715932
#130715922
#130715862
#130715852
#130715552
#130715502
#130714742
#130714702
#130714422
#130714412
#130713792
#130713762
#130713702
#130713672
#130712482
#130712462
#123×Dic112
C4×#669822
#130711332
D11×#3812
#130709762
#130709752
C2×C4×(C2×D11)⋊C42
C4×C11×#1232
#3422811