Finite Group Databasebeta

← #14914256

Subgroups — #14914256

Order 2816.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623117C211yesmaximal, characteristic
2#13071697C211yesmaximal, characteristic, complemented
3#13071694C211yesmaximal, characteristic, complemented
4#13071664C211yesmaximal, characteristic, complemented
5#13071661C211yesmaximal, characteristic, complemented
6#13071614C211yesmaximal, characteristic, complemented
7#13071610C211yesmaximal, characteristic, complemented
8#13071606C211yesmaximal, characteristic, complemented
9#13071602C211yesmaximal, characteristic, complemented
10#13071554C211yesmaximal, characteristic, complemented
11#13071550C211yesmaximal, characteristic, complemented
12#13071522C211yesmaximal, characteristic, complemented
13#13071521C211yesmaximal, characteristic, complemented
14#13071474C211yesmaximal, characteristic, complemented
15#13071470C211yesmaximal, characteristic, complemented
16#13071442C211yesmaximal, characteristic, complemented
17#13071441C211yesmaximal, characteristic, complemented
18#13071347C211yesmaximal, characteristic, complemented
19#13071344C211yesmaximal, characteristic, complemented
20#13071317C211yesmaximal, characteristic, complemented
21#13071314C211yesmaximal, characteristic, complemented
22#13071244C211yesmaximal, characteristic, complemented
23#13071242C211yesmaximal, characteristic, complemented
24#120×Dic11C211yesmaximal, characteristic, complemented
25C4×#67006C211yesmaximal, characteristic, complemented
26#13071115C211yesmaximal, characteristic, complemented
27#13070994C211yesmaximal, characteristic, complemented
28#13070977C211yesmaximal, characteristic, complemented
29#13070975C211yesmaximal, characteristic, complemented
30C22×C11⋊#95C211yesmaximal, characteristic, complemented
31C4×C11×#120C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C24×Dic11C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×#67006C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66988C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×D4×Dic11C2211yescharacteristic
48C2×D4×Dic11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52#10623117C4116yescomplemented
53C2×#66939C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×#66931C2211yescharacteristic
61C2×#66930C2211yescharacteristic
62C2×#66930C2211yescharacteristic
63C2×#66930C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#379C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74#10622860C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic, complemented
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic
85#10622823C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C2×C11⋊#95C2211yescharacteristic
91C2×C11⋊#95C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic
96C2×C11⋊#95C2211yescharacteristic
97C2×C11⋊#95C2211yescharacteristic
98C2×C11⋊#95C2211yescharacteristic
99C2×C11⋊#95C2211yescharacteristic
100C2×C11⋊#95C2211yescharacteristic
101C2×C11⋊#95C2211yescharacteristic
102C2×C11⋊#95C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622590C2211yescharacteristic, complemented
110C4⋊C4×Dic11C2211yescharacteristic, complemented
111C4⋊C4×Dic11C2211yescharacteristic, complemented
112#10622587C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622559C2211yescharacteristic
127#10622559C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622557C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622556C2211yescharacteristic
133#10622556C2211yescharacteristic
134#10622556C2211yescharacteristic, complemented
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138#10622555C2211yescharacteristic
139#10622555C2211yescharacteristic, complemented
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic11C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622545C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622277C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11—24no—
193C23×C4×C11—42no—
194C23×C4×C11—42no—
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C23×Dic11—24no—
207C23×Dic11—42no—
208C23×Dic11—42no—
209C23×Dic11—42no—
210C23×Dic11—42no—
211C23×Dic11C2×C418yescomplemented
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C23×Dic11C2311yescharacteristic
226C2×#4341—42no—
227C2×#4341—42no—
228C2×#4341C2×C418yescomplemented
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×Dic22C2311yescharacteristic
233C11×#120C2×C418yescomplemented
234C4×D4×C11—24no—
235C4×D4×C11—42no—
236C4×D4×C11—42no—
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255#67006C2×C418yescomplemented
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270#66992C2×C418yescomplemented
271#66992C2×C418yescomplemented
272#66988C2×C418yescomplemented
273D4×Dic11—24no—
274D4×Dic11—42no—
275D4×Dic11—42no—
276D4×Dic11C2×C418yescomplemented
277D4×Dic11C2×C418yescomplemented
278C4×C22⋊D11—24no—
279C4×C22⋊D11—42no—
280C4×C22⋊D11—42no—
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66939C2×C418yescomplemented
324(C22⋊D11)⋊C4—24no—
325(C22⋊D11)⋊C4—42no—
326(C22⋊D11)⋊C4—42no—
327(C22⋊D11)⋊C4C2×C418yescomplemented
328(C22⋊D11)⋊C4C2×C418yescomplemented
329#66931C2×C418yescomplemented
330#66931C2×C418yescomplemented
331#66930—42no—
332#66930—42no—
333#66930C2×C418yescomplemented
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34218—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—22no—
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11C22×C414yes—
402C2×D4×C11C22×C414yes—
403C2×D4×C11C22×C414yes—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—416no—
425C22×C4×C11#4114yescomplemented
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11C22×C414yes—
446C2×C22⋊D11C22×C414yes—
447C2×C22⋊D11C22×C414yes—
448C2×C22⋊D11C22×C414yescomplemented
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—416no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—416no—
485C22×Dic11C22×C414yes—
486C22×Dic11C22×C414yes—
487C22×Dic11C22×C414yes—
488C22×Dic11C22×C414yes—
489C22×Dic11C22×C414yes—
490C22×Dic11C22×C414yes—
491C22×Dic11C22×C414yescomplemented
492C22×Dic11#4114yescomplemented
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508#4341—416no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11C22×C414yescomplemented
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—22no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4C22×C414yes—
534C11×C22⋊C4C22×C414yes—
535C11×C22⋊C4C22×C414yes—
536C42×C11—22no—
537C42×C11—41no—
538C42×C11—41no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11C22×C414yes—
549C22⋊Dic11C22×C414yes—
550C22⋊Dic11C22×C414yes—
551C22⋊Dic11C22×C414yescomplemented
552C22⋊Dic11C22×C414yescomplemented
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4C22×C414yescomplemented
560(C2×D11)⋊C4C22×C414yescomplemented
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11C22×C414yescomplemented
565C4⋊Dic11C22×C414yescomplemented
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4C22×C414yescomplemented
577Dic11⋊C4C22×C414yescomplemented
578Dic11⋊C4C22×C414yescomplemented
579Dic11⋊C4C22×C414yescomplemented
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—41no—
584C4×Dic11—41no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C4×Dic11—41no—
589C4×Dic11—41no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11C22×C414yescomplemented
594C4×Dic11C22×C414yescomplemented
595C2×#525—111no—
596#2368—111no—
597#2368—111no—
598#2364—111no—
599#2364—111no—
600#2359—111no—
601#2359—111no—
602#2359—111no—
603#2359—111no—
604#2353—111no—
605#2353—111no—
606#2349—111no—
607#2349—111no—
608#2343—111no—
609#2343—111no—
610#2339—111no—
611#2339—111no—
612#2329—111no—
613#2329—111no—
614#2325—111no—
615#2325—111no—
616#2318—111no—
617#2318—111no—
618C4×#120—111no—
619C4×#120—111no—
620C4×#120—111no—
621C4×#120D1111yescharacteristic, complemented
622#2280—111no—
623#2275—111no—
624#2275—111no—
625C22×#95—111no—
626C23×C11—28no—
627C23×C11—28no—
628C23×C11—28no—
629C23×C11—28no—
630C23×C11—28no—
631C23×C11—28no—
632C23×C11—28no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11C23×C412yes—
652C23×C11C23×C412yes—
653C23×C11C23×C412yes—
654C23×C11C23×C412yes—
655C23×C11C2×#4112yes—
656C23×C11C2×#4112yes—
657C23×C11H(5,𝔽2)12yes—
658C23×C11H(5,𝔽2)12yes—
659C23×C11H(5,𝔽2)12yes—
660C23×C112−1+412yes—
661C23×C11C2511yescharacteristic
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11C23×C412yes—
669D4×C11—28no—
670D4×C11—28no—
671D4×C11—28no—
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—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11—44no—
704C2×C4×C11—44no—
705C2×C4×C11—44no—
706C2×C4×C11—82no—
707C2×C4×C11C23×C412yes—
708C2×C4×C11C23×C412yes—
709C2×C4×C11C23×C412yes—
710C2×C4×C11C2×#4112yes—
711C2×C4×C11C2×#4112yes—
712C22⋊D11—28no—
713C22⋊D11—28no—
714C22⋊D11—28no—
715C22⋊D11—44no—
716C2×Dic11—28no—
717C2×Dic11—28no—
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—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—44no—
755C2×Dic11—44no—
756C2×Dic11—44no—
757C2×Dic11—44no—
758C2×Dic11—44no—
759C2×Dic11—44no—
760C2×Dic11—44no—
761C2×Dic11—44no—
762C2×Dic11—44no—
763C2×Dic11—44no—
764C2×Dic11—44no—
765C2×Dic11—82no—
766C2×Dic11C23×C412yes—
767C2×Dic11C23×C412yes—
768C2×Dic11C23×C412yes—
769C2×Dic11C23×C412yes—
770C2×Dic11C23×C412yes—
771C2×Dic11C23×C412yes—
772C2×Dic11C23×C412yes—
773C2×Dic11C2×#4112yes—
774C2×Dic11C2×#4112yes—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—44no—
779C22×#41—111no—
780C24×C4—111no—
781C24×C4—111no—
782C24×C4C2×D1111yescharacteristic
783#525—1116no—
784C2×#123—111no—
785C2×#123—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#120—111no—
791C2×#120C2×D1111yescharacteristic
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4—111no—
802C2×C4×D4—111no—
803C2×C4×D4—111no—
804C2×C4×D4—111no—
805C2×C4×D4C2×D1111yescharacteristic
806C2×C4×D4C2×D1111yescharacteristic
807C2×C4×D4C2×D1111yescharacteristic
808C2×#117—111no—
809C2×#117—111no—
810C2×#117—111no—
811#391—111no—
812#391—111no—
813#391—111no—
814#391—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386C2×D1111yescharacteristic
857#386C2×D1111yescharacteristic
858#386C2×D1111yescharacteristic
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385C2×D1111yescharacteristic
873#385C2×D1111yescharacteristic
874#385C2×D1111yescharacteristic
875#383—111no—
876#383—111no—
877#382—111no—
878#382—111no—
879#381—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#379—111no—
890#379C2×D1111yescharacteristic
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊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⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4—111no—
914C4×C22⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4C2×D1111yescharacteristic
917C4×C22⋊C4C2×D1111yescharacteristic
918C4×C22⋊C4C2×D1111yescharacteristic
919#376—111no—
920#376—111no—
921C2×#95—111no—
922C2×#95—111no—
923C2×#95—111no—
924C2×#95—111no—
925C2×#95—111no—
926C2×#95—111no—
927C2×#95—111no—
928C2×#95—111no—
929C2×#95—111no—
930C2×#95—111no—
931C2×#95—111no—
932C2×#95—111no—
933C2×#95—111no—
934C2×#95—111no—
935C22×C11—232no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—22no—
944C22×C11—22no—
945C22×C11—22no—
946C22×C11—22no—
947C22×C11—22no—
948C22×C11—22no—
949C22×C11—22no—
950C22×C11—22no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11C4×#4114yes—
962C22×C11#51814yes—
963C22×C11#52014yes—
964C22×C11C24×C411yescharacteristic
965C22×C11C22×#4111yescharacteristic
966C22×C11C22×#4111yescharacteristic
967C22×C11C2×H(5,𝔽2)11yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×H(5,𝔽2)11yescharacteristic
970C22×C11C2×2−1+411yescharacteristic
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C4×C11—22no—
979C4×C11—22no—
980C4×C11—22no—
981C4×C11—22no—
982C4×C11—22no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989Dic11—22no—
990Dic11—22no—
991Dic11—22no—
992Dic11—22no—
993Dic11—22no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004C25C22×D1111yescharacteristic
1005C2×#41—118no—
1006C2×#41—442no—
1007C2×#41—442no—
1008C22×Q8—111no—
1009C22×D4—111no—
1010C22×D4—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4C22×D1111yescharacteristic
1014C22×D4C22×D1111yescharacteristic
1015C22×D4C22×D1111yescharacteristic
1016C23×C4—24no—
1017C23×C4—42no—
1018C23×C4—42no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—118no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—224no—
1038C23×C4—442no—
1039C23×C4—442no—
1040C23×C4—442no—
1041C23×C4—442no—
1042C23×C4C22×D1111yescharacteristic
1043C23×C4C22×D1111yescharacteristic
1044C23×C4C22×D1111yescharacteristic
1045C23×C4C22×D1111yescharacteristic
1046C23×C4C22×D1111yescharacteristic
1047C23×C4C22×D1111yescharacteristic
1048C23×C4C22×D1111yescharacteristic
1049#123—118no—
1050#123—118no—
1051C22⋊Q8—118no—
1052C22⋊Q8—118no—
1053#121—118no—
1054#121—118no—
1055#120—118no—
1056#120C4×D1118yescomplemented
1057C4×D4—24no—
1058C4×D4—42no—
1059C4×D4—42no—
1060C4×D4—118no—
1061C4×D4—118no—
1062C4×D4—118no—
1063C4×D4—118no—
1064C4×D4—224no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—442no—
1068C4×D4—442no—
1069C4×D4—442no—
1070C4×D4—442no—
1071C4×D4—442no—
1072C4×D4—442no—
1073#117—118no—
1074#117—442no—
1075#117—442no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42C22×D1111yescharacteristic
1148C2×C42C22×D1111yescharacteristic
1149C2×C42C22×D1111yescharacteristic
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#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198C2×C11—24no—
1199C2×C11—24no—
1200C2×C11—24no—
1201C2×C11—42no—
1202C2×C11C2×C4×#4111yescharacteristic
1203C2×C11C2×#51811yescharacteristic
1204C2×C11C2×#52011yescharacteristic
1205C2×C11#349011yescharacteristic
1206C2×C11#349011yescharacteristic
1207C2×C11#349211yescharacteristic
1208C2×C11#349211yescharacteristic
1209D11—42no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—111no—
1217C24C2×C4×D1114yes—
1218C24C23×D1111yescharacteristic
1219C24C23×D1111yescharacteristic
1220C24C23×D1111yescharacteristic
1221C24C23×D1111yescharacteristic
1222#41—4416no—
1223C2×Q8—114no—
1224C2×Q8—441no—
1225C2×Q8—441no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—114no—
1233C2×D4—114no—
1234C2×D4—114no—
1235C2×D4—114no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4C2×C4×D1114yes—
1245C2×D4C2×C4×D1114yes—
1246C2×D4C2×C4×D1114yes—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—416no—
1268C22×C4—114no—
1269C22×C4—114no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—114no—
1280C22×C4—114no—
1281C22×C4—114no—
1282C22×C4—114no—
1283C22×C4—114no—
1284C22×C4—114no—
1285C22×C4—114no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—4416no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—4416no—
1336C22×C4#434114yescomplemented
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C22×C4C23×D1111yescharacteristic
1344C22×C4C23×D1111yescharacteristic
1345C22×C4C23×D1111yescharacteristic
1346C22×C4C23×D1111yescharacteristic
1347C22×C4C23×D1111yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—114no—
1352C4⋊C4—114no—
1353C4⋊C4—114no—
1354C4⋊C4—114no—
1355C4⋊C4—114no—
1356C4⋊C4—114no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—441no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—114no—
1380C22⋊C4—114no—
1381C22⋊C4—114no—
1382C22⋊C4—114no—
1383C22⋊C4—114no—
1384C22⋊C4—114no—
1385C22⋊C4—114no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4C2×C4×D1114yes—
1402C22⋊C4C2×C4×D1114yes—
1403C22⋊C4C2×C4×D1114yes—
1404C42—22no—
1405C42—41no—
1406C42—41no—
1407C42—114no—
1408C42—114no—
1409C42—222no—
1410C42—222no—
1411C42—222no—
1412C42—441no—
1413C42—441no—
1414C42—441no—
1415C42—441no—
1416C42—441no—
1417C42—441no—
1418C42—441no—
1419C42—441no—
1420C42—441no—
1421C42—441no—
1422C11#3421811yescharacteristic, complemented, Sylow
1423C23—28no—
1424C23—28no—
1425C23—28no—
1426C23—28no—
1427C23—28no—
1428C23—28no—
1429C23—28no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—112no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23C22×C4×D1112yes—
1456C23C22×C4×D1112yes—
1457C23C22×C4×D1112yes—
1458C23C22×C4×D1112yes—
1459C23C2×#434112yes—
1460C23#6703712yes—
1461C23#6703712yes—
1462C23#41×D1112yes—
1463C23#6704212yes—
1464C23#6704312yes—
1465C23C24×D1111yescharacteristic
1466Q8—444no—
1467D4—28no—
1468D4—28no—
1469D4—28no—
1470D4—228no—
1471D4—228no—
1472D4—228no—
1473D4—444no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—112no—
1510C2×C4—112no—
1511C2×C4—112no—
1512C2×C4—112no—
1513C2×C4—112no—
1514C2×C4—112no—
1515C2×C4—112no—
1516C2×C4—112no—
1517C2×C4—112no—
1518C2×C4—228no—
1519C2×C4—228no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—444no—
1557C2×C4—444no—
1558C2×C4—444no—
1559C2×C4—444no—
1560C2×C4—444no—
1561C2×C4—444no—
1562C2×C4—444no—
1563C2×C4—444no—
1564C2×C4—444no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—882no—
1569C2×C4—882no—
1570C2×C4—882no—
1571C2×C4C22×C4×D1112yes—
1572C2×C4C22×C4×D1112yes—
1573C2×C4C22×C4×D1112yes—
1574C2×C4C2×#434112yes—
1575C2×C4C2×#434112yes—
1576C22—232no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22C4×#434114yes—
1610C22#1062307614yes—
1611C22#1062307714yes—
1612C22C23×C4×D1111yescharacteristic
1613C22C22×#434111yescharacteristic
1614C22C2×#6703711yescharacteristic
1615C22C2×#6703711yescharacteristic
1616C22C2×#41×D1111yescharacteristic
1617C22C2×#6704211yescharacteristic
1618C22C2×#6704311yescharacteristic
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—222no—
1631C4—222no—
1632C4—222no—
1633C4—222no—
1634C4—222no—
1635C4—222no—
1636C4—222no—
1637C4—222no—
1638C4—222no—
1639C4—441no—
1640C4—441no—
1641C4—441no—
1642C4—441no—
1643C4—441no—
1644C4—441no—
1645C2—24no—
1646C2—24no—
1647C2—24no—
1648C2—42no—
1649C2—442no—
1650C2C2×C4×#434111yescharacteristic
1651C2C2×#1062307611yescharacteristic
1652C2C2×#1062307711yescharacteristic
1653C2#1308229911yescharacteristic
1654C2#1308230311yescharacteristic
1655C2#1308231711yescharacteristic
1656C2#1308232211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#120C2
socle, cosocleC23×C11C25
prime radicalC2×#10623117C2
hypercenterC4×#120D11
hypocenterC11#34218
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #13071697C2semidirect
3. #13071694C2semidirect
4. #13071664C2semidirect
5. #13071661C2semidirect
6. #13071614C2semidirect
7. #13071610C2semidirect
8. #13071606C2semidirect
9. #13071602C2semidirect
10. #13071554C2semidirect
11. #13071550C2semidirect
12. #13071522C2semidirect
13. #13071521C2semidirect
14. #13071474C2semidirect
15. #13071470C2semidirect
16. #13071442C2semidirect
17. #13071441C2semidirect
18. #13071347C2semidirect
19. #13071344C2semidirect
20. #13071317C2semidirect
21. #13071314C2semidirect
22. #13071244C2semidirect
23. #13071242C2semidirect
24. #120×Dic11C2semidirect
25. C4×#67006C2semidirect
26. #13071115C2semidirect
27. #13070994C2semidirect
28. #13070977C2semidirect
29. #13070975C2semidirect
30. C22×C11⋊#95C2semidirect
31. C4×C11×#120C2semidirect
52. #10623117C4semidirect
81. #10622826C22semidirect
85. #10622823C22semidirect
89. C4×C22⋊Dic11C22semidirect
102. C2×C11⋊#95C22semidirect
103. #10622603C22semidirect
104. #10622602C22semidirect
105. #10622600C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622591C22semidirect
109. #10622590C22semidirect
110. C4⋊C4×Dic11C22semidirect
111. C4⋊C4×Dic11C22semidirect
112. #10622587C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
118. #10622571C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
127. #10622559C22semidirect
128. #10622558C22semidirect
129. #10622558C22semidirect
130. #10622557C22semidirect
131. #10622557C22semidirect
134. #10622556C22semidirect
139. #10622555C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. #10622553C22semidirect
153. C4×(C2×D11)⋊C4C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×C4⋊Dic11C22semidirect
156. #10622546C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. #10622545C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. #10622542C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622279C22semidirect
168. #10622277C22semidirect
169. D11×#95C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622268C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
211. C23×Dic11C2×C4semidirect
228. C2×#4341C2×C4semidirect
233. C11×#120C2×C4semidirect
255. #67006C2×C4semidirect
270. #66992C2×C4semidirect
271. #66992C2×C4semidirect
272. #66988C2×C4semidirect
276. D4×Dic11C2×C4semidirect
277. D4×Dic11C2×C4semidirect
323. #66939C2×C4semidirect
327. (C22⋊D11)⋊C4C2×C4semidirect
328. (C22⋊D11)⋊C4C2×C4semidirect
329. #66931C2×C4semidirect
330. #66931C2×C4semidirect
333. #66930C2×C4semidirect
425. C22×C4×C11#41semidirect
448. C2×C22⋊D11C22×C4semidirect
491. C22×Dic11C22×C4semidirect
492. C22×Dic11#41semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
551. C22⋊Dic11C22×C4semidirect
552. C22⋊Dic11C22×C4semidirect
559. (C2×D11)⋊C4C22×C4semidirect
560. (C2×D11)⋊C4C22×C4semidirect
564. C4⋊Dic11C22×C4semidirect
565. C4⋊Dic11C22×C4semidirect
576. Dic11⋊C4C22×C4semidirect
577. Dic11⋊C4C22×C4semidirect
578. Dic11⋊C4C22×C4semidirect
579. Dic11⋊C4C22×C4semidirect
593. C4×Dic11C22×C4semidirect
594. C4×Dic11C22×C4semidirect
621. C4×#120D11semidirect
1056. #120C4×D11semidirect
1336. C22×C4#4341semidirect
1422. C11#34218semidirect

Maximal subgroups

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

subgroupindex
C2×#106231172
#130716972
#130716942
#130716642
#130716612
#130716142
#130716102
#130716062
#130716022
#130715542
#130715502
#130715222
#130715212
#130714742
#130714702
#130714422
#130714412
#130713472
#130713442
#130713172
#130713142
#130712442
#130712422
#120×Dic112
C4×#670062
#130711152
#130709942
#130709772
#130709752
C22×C11⋊#952
C4×C11×#1202
#3421811