Finite Group Databasebeta

← #14914729

Subgroups — #14914729

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623017C211yesmaximal, characteristic
2#13071559C211yesmaximal, characteristic, complemented
3#13071553C211yesmaximal, characteristic, complemented
4#13071551C211yesmaximal, characteristic, complemented
5#13071551C211yesmaximal, characteristic, complemented
6#13071546C211yesmaximal, characteristic, complemented
7#13071544C211yesmaximal, characteristic, complemented
8#13071544C211yesmaximal, characteristic, complemented
9#13071538C211yesmaximal, characteristic, complemented
10#13071474C211yesmaximal, characteristic, complemented
11#13071474C211yesmaximal, characteristic, complemented
12#13071470C211yesmaximal, characteristic, complemented
13#13071470C211yesmaximal, characteristic, complemented
14#13071467C211yesmaximal, characteristic, complemented
15#13071465C211yesmaximal, characteristic, complemented
16#13071461C211yesmaximal, characteristic, complemented
17#13071251C211yesmaximal, characteristic, complemented
18#13071246C211yesmaximal, characteristic, complemented
19#13071246C211yesmaximal, characteristic, complemented
20#13071245C211yesmaximal, characteristic, complemented
21#13071227C211yesmaximal, characteristic, complemented
22#13071192C211yesmaximal, characteristic
23#13071062C211yesmaximal, characteristic, complemented
24#13071058C211yesmaximal, characteristic, complemented
25#13071058C211yesmaximal, characteristic, complemented
26#13071053C211yesmaximal, characteristic, complemented
27C2×#10622569C211yesmaximal, characteristic
28D11×#385C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic, complemented
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C2×#66979C2211yescharacteristic, complemented
45C2×C4⋊C4×D11C2211yescharacteristic, complemented
46C2×C4⋊C4×D11C2211yescharacteristic, complemented
47#10623017C4116yescomplemented
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×(C22⋊D11)⋊C4C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×#66930C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66930C2211yescharacteristic, complemented
59C2×#66930C2211yescharacteristic, complemented
60C2×C42×D11C2211yescharacteristic, complemented
61C2×C42×D11C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#381C2211yescharacteristic, complemented
69C11×#380C2211yescharacteristic, complemented
70C11×#379C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622860C2211yescharacteristic
75#10622825C2211yescharacteristic, complemented
76#10622824C2211yescharacteristic, complemented
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622602C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic, complemented
89#10622600C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622590C2211yescharacteristic, complemented
95#10622590C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622564C2211yescharacteristic, complemented
115#10622564C2211yescharacteristic, complemented
116#10622564C2211yescharacteristic, complemented
117#10622564C2211yescharacteristic, complemented
118#10622563C2211yescharacteristic
119#10622563C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622558C2211yescharacteristic, complemented
123#10622558C2211yescharacteristic, complemented
124#10622558C2211yescharacteristic, complemented
125#10622558C2211yescharacteristic, complemented
126#10622557C2211yescharacteristic, complemented
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622556C2211yescharacteristic
131#10622556C2211yescharacteristic
132#10622556C2211yescharacteristic, complemented
133#10622556C2211yescharacteristic, complemented
134#10622555C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic, complemented
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic, complemented
141C22⋊C4×Dic11C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151#10622546C2211yescharacteristic, complemented
152#10622545C2211yescharacteristic, complemented
153#10622545C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C4×Dic11⋊C4C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, 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#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11—24no—
195C22×C22⋊D11—24no—
196C22×C22⋊D11C2×C418yes—
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×C4×D11—24no—
207C22×C4×D11—42no—
208C22×C4×D11—42no—
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
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
221C11×#117—42no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4—42no—
227C2×C11×C22⋊C4C2×C418yescomplemented
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11—42no—
247C2×C22⋊Dic11C2×C418yescomplemented
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C4×C22⋊D11C2×C418yescomplemented
263C4×C22⋊D11C2×C418yescomplemented
264C4×C22⋊D11C2×C418yescomplemented
265C4×C22⋊D11C2×C418yescomplemented
266C2×(C2×D11)⋊C4—24no—
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
279#66979—42no—
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
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×Dic11C2311yescharacteristic
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
312C4⋊C4×D11—42no—
313C4⋊C4×D11—42no—
314(C22⋊D11)⋊C4C2×C418yescomplemented
315(C22⋊D11)⋊C4C2×C418yescomplemented
316(C22⋊D11)⋊C4C2×C418yescomplemented
317(C22⋊D11)⋊C4C2×C418yescomplemented
318C22⋊C4×D11—24no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11C2×C418yes—
321C22⋊C4×D11C2×C418yes—
322#66930—42no—
323#66930—42no—
324#66930C2×C418yescomplemented
325#66930C2×C418yescomplemented
326C42×D11—42no—
327C42×D11—42no—
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#34251—111nomaximal, Sylow
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11C22×C414yes—
392C23×D11#4114yes—
393C23×D11#4114yes—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
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×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11C22×C414yescomplemented
407C22×C4×C11C22×C414yescomplemented
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
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C2×C22⋊D11—232no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11C22×C414yes—
430C2×C22⋊D11C22×C414yes—
431C2×C22⋊D11C22×C414yes—
432C2×C22⋊D11C22×C414yes—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11C22×C414yes—
446C22×Dic11C22×C414yescomplemented
447C22×Dic11C22×C414yescomplemented
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C2×C4×D11—22no—
463C2×C4×D11—22no—
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—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
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×D11—41no—
494C2×C4×D11—416no—
495C2×C4×D11C22×C414yes—
496C2×C4×D11C22×C414yes—
497C2×C4×D11C22×C414yes—
498C2×C4×D11C22×C414yes—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4C22×C414yes—
514C11×C22⋊C4C22×C414yes—
515C11×C22⋊C4C22×C414yescomplemented
516C11×C22⋊C4C22×C414yescomplemented
517C42×C11—22no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11C22×C414yes—
532C22⋊Dic11C22×C414yes—
533C22⋊Dic11C22×C414yescomplemented
534C22⋊Dic11C22×C414yescomplemented
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545(C2×D11)⋊C4C22×C414yes—
546(C2×D11)⋊C4C22×C414yes—
547C4⋊Dic11—22no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4C22×C414yescomplemented
560Dic11⋊C4C22×C414yescomplemented
561Dic11⋊C4C22×C414yescomplemented
562Dic11⋊C4C22×C414yescomplemented
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—41no—
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×Dic11C22×C414yescomplemented
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C4×Dic11C22×C414yescomplemented
579C2×#518—111no—
580#2353—111no—
581#2353—111no—
582#2353—111no—
583#2353—111no—
584#2352—111no—
585#2352—111no—
586#2352—111no—
587#2352—111no—
588#2343—111no—
589#2343—111no—
590#2343—111no—
591#2343—111no—
592#2342—111no—
593#2342—111no—
594#2342—111no—
595#2342D1111yescharacteristic, complemented
596#2318—111no—
597#2318—111no—
598#2318—111no—
599#2318—111no—
600#2315—111no—
601#2308—111no—
602#2290—111no—
603#2290—111no—
604#2290—111no—
605#2290—111no—
606C2×#386—111no—
607C2×#385—111no—
608#2273—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×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—28no—
627C23×C11—44no—
628C23×C11—44no—
629C23×C11—82no—
630C23×C11—82no—
631C23×C11—82no—
632C23×C11—82no—
633C23×C11C23×C412yes—
634C23×C11C23×C412yes—
635C23×C11C23×C412yes—
636C23×C11C2×#4112yes—
637C23×C11C2×#4112yes—
638C23×C11C2511yescharacteristic
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—44no—
653C22×D11#117116yescomplemented
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
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—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—82no—
695C2×C4×C11C23×C412yes—
696C2×C4×C11C23×C412yes—
697C2×C4×C11C23×C412yes—
698C2×C4×C11C23×C412yes—
699C2×C4×C11H(5,𝔽2)12yes—
700C22⋊D11—28no—
701C22⋊D11—28no—
702C22⋊D11—28no—
703C22⋊D11—28no—
704C2×Dic11—28no—
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—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11—44no—
743C2×Dic11—82no—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C23×C412yes—
747C2×Dic11C23×C412yes—
748C2×Dic11C23×C412yes—
749C2×Dic11C23×C412yes—
750C2×Dic11H(5,𝔽2)12yes—
751C4×D11—28no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760C4×D11—44no—
761C4×D11—82no—
762C4×D11—82no—
763C23×D4—111no—
764C24×C4—111no—
765#518—1116no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C2×#117—111no—
779C2×#117C2×D1111yescharacteristic, complemented
780C22×C4⋊C4—111no—
781C22×C4⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4—111no—
788C22×C22⋊C4—111no—
789C22×C22⋊C4C2×D1111yescharacteristic
790C22×C22⋊C4C2×D1111yescharacteristic
791C22×C42—111no—
792C22×C42—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—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#388C2×D1111yescharacteristic, complemented
806#388C2×D1111yescharacteristic, complemented
807#388C2×D1111yescharacteristic, complemented
808#388C2×D1111yescharacteristic, complemented
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
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#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
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#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385C2×D1111yescharacteristic
856#385C2×D1111yescharacteristic
857#383—111no—
858#383—111no—
859#383—111no—
860#383—111no—
861#382—111no—
862#382—111no—
863#382—111no—
864#382—111no—
865#381—111no—
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381C2×D1111yescharacteristic, complemented
871#380—111no—
872#380—111no—
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380C2×D1111yescharacteristic, complemented
879#379—111no—
880#379C2×D1111yescharacteristic
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊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⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4C2×D1111yescharacteristic
907C4×C22⋊C4C2×D1111yescharacteristic
908C4×C22⋊C4C2×D1111yescharacteristic, complemented
909#376—111no—
910#376—111no—
911#376—111no—
912#376—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C2×#95—111no—
917C2×#95—111no—
918C2×#95—111no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—88no—
940C22×C11C2×#11714yes—
941C22×C11C24×C411yescharacteristic
942C22×C11C22×#4111yescharacteristic
943C22×C11C22×#4111yescharacteristic
944C22×C11C2×H(5,𝔽2)11yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11#58511yescharacteristic
947C22×C11#58511yescharacteristic
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—416no—
961C2×D11C2×#11714yes—
962C2×D11C2×#11714yes—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989C25—111no—
990C25C22×D1111yescharacteristic
991C22×D4—118no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—224no—
997C22×D4—224no—
998C23×C4—111no—
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—111no—
1014C23×C4—111no—
1015C23×C4—224no—
1016C23×C4—442no—
1017C23×C4—442no—
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C23×C4C22×D1111yescharacteristic
1022C4×D4—118no—
1023C4×D4—118no—
1024C4×D4—118no—
1025C4×D4—118no—
1026C4×D4—118no—
1027C4×D4—118no—
1028C4×D4—118no—
1029C4×D4—118no—
1030#117—42no—
1031#117—118no—
1032#117—118no—
1033#117—442no—
1034#117—442no—
1035#117—442no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
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—442no—
1053C2×C4⋊C4—442no—
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4—42no—
1059C2×C22⋊C4—118no—
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—118no—
1069C2×C22⋊C4—118no—
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—224no—
1091C2×C22⋊C4—442no—
1092C2×C22⋊C4C4×D1118yescomplemented
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×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—442no—
1124C2×C42—442no—
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
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#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177C2×C11—24no—
1178C2×C11—42no—
1179C2×C11—42no—
1180C2×C11C22×#11711yescharacteristic
1181C2×C11C4×H(5,𝔽2)11yescharacteristic
1182C2×C11C4×H(5,𝔽2)11yescharacteristic
1183C2×C11#349011yescharacteristic
1184C2×C11#349111yescharacteristic
1185C2×C11#350511yescharacteristic
1186C2×C11#350511yescharacteristic
1187D11—24no—
1188D11—24no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—111no—
1196C24—111no—
1197C24—114no—
1198C24—114no—
1199C24—114no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24C2×C4×D1114yes—
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C2×D4—114no—
1209C2×D4—114no—
1210C2×D4—114no—
1211C2×D4—114no—
1212C2×D4—2232no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—114no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—114no—
1244C22×C4—114no—
1245C22×C4—111no—
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—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
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—4416no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—441no—
1297C22×C4C2×C4×D1114yescomplemented
1298C22×C4C2×C4×D1114yescomplemented
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
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C22×C4C23×D1111yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—114no—
1318C4⋊C4—114no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—114no—
1346C22⋊C4—114no—
1347C22⋊C4—114no—
1348C22⋊C4—114no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4C2×C4×D1114yes—
1368C22⋊C4C2×C4×D1114yes—
1369C22⋊C4C2×C4×D1114yescomplemented
1370C22⋊C4C2×C4×D1114yescomplemented
1371C42—22no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—114no—
1376C42—114no—
1377C42—114no—
1378C42—114no—
1379C42—222no—
1380C42—222no—
1381C42—222no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3425111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—112no—
1416C23—112no—
1417C23—112no—
1418C23—112no—
1419C23—112no—
1420C23—112no—
1421C23—1116no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23C22×C4×D1112yes—
1437C23C22×C4×D1112yes—
1438C23C22×C4×D1112yes—
1439C23#41×D1112yes—
1440C23#41×D1112yes—
1441C23C24×D1111yescharacteristic
1442D4—228no—
1443D4—228no—
1444D4—228no—
1445D4—228no—
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—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—82no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—228no—
1489C2×C4—228no—
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—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—882no—
1538C2×C4—882no—
1539C2×C4—882no—
1540C2×C4C22×C4×D1112yes—
1541C2×C4C22×C4×D1112yes—
1542C2×C4C22×C4×D1112yes—
1543C2×C4C22×C4×D1112yes—
1544C2×C4#6703712yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—114no—
1567C22—114no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—222no—
1580C22—4416no—
1581C22D11×#11714yes—
1582C22C23×C4×D1111yescharacteristic
1583C22C2×#6703711yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22C2×#41×D1111yescharacteristic
1586C22#1062345311yescharacteristic
1587C22D11×H(5,𝔽2)11yescharacteristic
1588C22#1062345511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—222no—
1602C4—222no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—222no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—224no—
1619C2—224no—
1620C2C2×D11×#11711yescharacteristic
1621C2#1308182011yescharacteristic
1622C2C4×#6703711yescharacteristic
1623C2#1308229811yescharacteristic
1624C2#1308230711yescharacteristic
1625C2#1308244311yescharacteristic
1626C2#1308244711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC23×C22⋊D11C22
hypercenter#2342D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071559C2semidirect
3. #13071553C2semidirect
4. #13071551C2semidirect
5. #13071551C2semidirect
6. #13071546C2semidirect
7. #13071544C2semidirect
8. #13071544C2semidirect
9. #13071538C2semidirect
10. #13071474C2semidirect
11. #13071474C2semidirect
12. #13071470C2semidirect
13. #13071470C2semidirect
14. #13071467C2semidirect
15. #13071465C2semidirect
16. #13071461C2semidirect
17. #13071251C2semidirect
18. #13071246C2semidirect
19. #13071246C2semidirect
20. #13071245C2semidirect
21. #13071227C2semidirect
23. #13071062C2semidirect
24. #13071058C2semidirect
25. #13071058C2semidirect
26. #13071053C2semidirect
28. D11×#385C2semidirect
29. #13070968C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2342C2semidirect
34. C2×C11×#117C22semidirect
44. C2×#66979C22semidirect
45. C2×C4⋊C4×D11C22semidirect
46. C2×C4⋊C4×D11C22semidirect
47. #10623017C4semidirect
58. C2×#66930C22semidirect
59. C2×#66930C22semidirect
60. C2×C42×D11C22semidirect
61. C2×C42×D11C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
68. C11×#381C22semidirect
69. C11×#380C22semidirect
73. C4×C11×C22⋊C4C22semidirect
75. #10622825C22semidirect
76. #10622824C22semidirect
81. C4×C22⋊Dic11C22semidirect
84. #10622602C22semidirect
85. #10622602C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622600C22semidirect
89. #10622600C22semidirect
90. #10622591C22semidirect
91. #10622591C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622590C22semidirect
95. #10622590C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
114. #10622564C22semidirect
115. #10622564C22semidirect
116. #10622564C22semidirect
117. #10622564C22semidirect
122. #10622558C22semidirect
123. #10622558C22semidirect
124. #10622558C22semidirect
125. #10622558C22semidirect
126. #10622557C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
132. #10622556C22semidirect
133. #10622556C22semidirect
134. #10622555C22semidirect
135. #10622555C22semidirect
140. C22⋊C4×Dic11C22semidirect
141. C22⋊C4×Dic11C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. C4×(C2×D11)⋊C4C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622546C22semidirect
152. #10622545C22semidirect
153. #10622545C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C4×Dic11⋊C4C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622280C22semidirect
161. #10622280C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. D11×#95C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622261C22semidirect
187. #10622261C22semidirect
227. C2×C11×C22⋊C4C2×C4semidirect
247. C2×C22⋊Dic11C2×C4semidirect
262. C4×C22⋊D11C2×C4semidirect
263. C4×C22⋊D11C2×C4semidirect
264. C4×C22⋊D11C2×C4semidirect
265. C4×C22⋊D11C2×C4semidirect
314. (C22⋊D11)⋊C4C2×C4semidirect
315. (C22⋊D11)⋊C4C2×C4semidirect
316. (C22⋊D11)⋊C4C2×C4semidirect
317. (C22⋊D11)⋊C4C2×C4semidirect
324. #66930C2×C4semidirect
325. #66930C2×C4semidirect
406. C22×C4×C11C22×C4semidirect
407. C22×C4×C11C22×C4semidirect
446. C22×Dic11C22×C4semidirect
447. C22×Dic11C22×C4semidirect
515. C11×C22⋊C4C22×C4semidirect
516. C11×C22⋊C4C22×C4semidirect
533. C22⋊Dic11C22×C4semidirect
534. C22⋊Dic11C22×C4semidirect
559. Dic11⋊C4C22×C4semidirect
560. Dic11⋊C4C22×C4semidirect
561. Dic11⋊C4C22×C4semidirect
562. Dic11⋊C4C22×C4semidirect
575. C4×Dic11C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
578. C4×Dic11C22×C4semidirect
595. #2342D11semidirect
653. C22×D11#117semidirect
779. C2×#117C2×D11semidirect
805. #388C2×D11semidirect
806. #388C2×D11semidirect
807. #388C2×D11semidirect
808. #388C2×D11semidirect
870. #381C2×D11semidirect
878. #380C2×D11semidirect
908. C4×C22⋊C4C2×D11semidirect
1092. C2×C22⋊C4C4×D11semidirect
1297. C22×C4C2×C4×D11semidirect
1298. C22×C4C2×C4×D11semidirect
1369. C22⋊C4C2×C4×D11semidirect
1370. C22⋊C4C2×C4×D11semidirect
1391. C11#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#106230172
#130715592
#130715532
#130715512
#130715462
#130715442
#130715382
#130714742
#130714702
#130714672
#130714652
#130714612
#130712512
#130712462
#130712452
#130712272
#130711922
#130710622
#130710582
#130710532
C2×#106225692
D11×#3852
#130709682
C4×C22⋊C4×D112
C11×#23422
#3425111