Finite Group Databasebeta

← #14912841

Subgroups — #14912841

Order 2816.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623124C211yesmaximal, characteristic
2#13071425C211yesmaximal, characteristic, complemented
3#13071423C211yesmaximal, characteristic, complemented
4#13071413C211yesmaximal, characteristic, complemented
5#13071403C211yesmaximal, characteristic, complemented
6#13071398C211yesmaximal, characteristic, complemented
7#13071388C211yesmaximal, characteristic, complemented
8#13071377C211yesmaximal, characteristic, complemented
9#13071375C211yesmaximal, characteristic, complemented
10#13071344C211yesmaximal, characteristic, complemented
11#13071314C211yesmaximal, characteristic, complemented
12#13071274C211yesmaximal, characteristic, complemented
13#13071244C211yesmaximal, characteristic, complemented
14#13071242C211yesmaximal, characteristic, complemented
15#13071212C211yesmaximal, characteristic, complemented
16#13071170C211yesmaximal, characteristic, complemented
17#13071170C211yesmaximal, characteristic, complemented
18#13071163C211yesmaximal, characteristic, complemented
19#13071157C211yesmaximal, characteristic, complemented
20#13071148C211yesmaximal, characteristic, complemented
21#13071143C211yesmaximal, characteristic, complemented
22#13071141C211yesmaximal, characteristic, complemented
23#13071132C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#120×Dic11C211yesmaximal, characteristic, complemented
27#13071115C211yesmaximal, characteristic, complemented
28C4×D4×Dic11C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2321C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C2×C11×#120C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×D4×Dic11C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic
49C22×C4×Dic11C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic, complemented
51#10623124C4116yescomplemented
52C2×#66940C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic
54C2×#66936C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
60C2×#66932C2211yescharacteristic
61C2×#66932C2211yescharacteristic
62C2×#66931C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic, complemented
64C11×#390C2211yescharacteristic
65C11×#390C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#386C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C11×#379C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76#10622860C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic, complemented
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic, complemented
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic, complemented
86C2×C11⋊#95C2211yescharacteristic
87C2×C11⋊#95C2211yescharacteristic
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622600C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622590C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622585C2211yescharacteristic, complemented
99#10622571C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic, complemented
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic, complemented
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622563C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130#10622556C2211yescharacteristic, complemented
131#10622555C2211yescharacteristic
132#10622555C2211yescharacteristic
133#10622555C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
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
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic11C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C42×Dic11C2211yescharacteristic, complemented
161C42×Dic11C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169#10622277C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11—24no—
200C23×Dic11—42no—
201C23×Dic11—42no—
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C11×#120C2×C418yescomplemented
217C4×D4×C11—24no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4—24no—
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241#67006C2×C418yescomplemented
242C2×C22⋊Dic11C2×C418yescomplemented
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
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
261#66992C2×C418yescomplemented
262#66992C2×C418yescomplemented
263#66991C2×C418yescomplemented
264#66989C2×C418yescomplemented
265#66988C2×C418yescomplemented
266D4×Dic11—24no—
267D4×Dic11—42no—
268D4×Dic11—42no—
269D4×Dic11C2×C418yescomplemented
270C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11—42no—
299C2×C4×Dic11—42no—
300C2×C4×Dic11—42no—
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
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
323C2×C4×Dic11C2311yescharacteristic
324#66940—42no—
325#66938C2×C418yescomplemented
326#66936C2×C418yescomplemented
327(C22⋊D11)⋊C4—24no—
328(C22⋊D11)⋊C4—42no—
329(C22⋊D11)⋊C4—42no—
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4C2×C418yescomplemented
332#66932C2×C418yescomplemented
333#66932C2×C418yescomplemented
334#66931C2×C418yescomplemented
335C42×D11—42no—
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
376C4×#538—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
387C24×C11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11C22×C414yes—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yes—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
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×C11#4114yes—
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
417C22×C4×C11C2411yescharacteristic
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yescomplemented
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—416no—
457C22×Dic11C22×C414yes—
458C22×Dic11C22×C414yes—
459C22×Dic11C22×C414yescomplemented
460C22×Dic11#4114yes—
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11C22×C414yescomplemented
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22C22×C414yescomplemented
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4C22×C414yes—
505C11×C22⋊C4C22×C414yes—
506C11×C22⋊C4C22×C414yes—
507C42×C11—22no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11C22×C414yes—
520C22⋊Dic11C22×C414yes—
521C22⋊Dic11C22×C414yes—
522C22⋊Dic11C22×C414yes—
523C22⋊Dic11C22×C414yes—
524C22⋊Dic11C22×C414yes—
525C22⋊Dic11C22×C414yes—
526C22⋊Dic11C22×C414yescomplemented
527C22⋊Dic11C22×C414yescomplemented
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4C22×C414yescomplemented
535(C2×D11)⋊C4C22×C414yescomplemented
536C4⋊Dic11—22no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11C22×C414yescomplemented
540C4⋊Dic11C22×C414yescomplemented
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4C22×C414yescomplemented
552Dic11⋊C4C22×C414yescomplemented
553Dic11⋊C4C22×C414yescomplemented
554Dic11⋊C4C22×C414yescomplemented
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
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×Dic11—41no—
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2337—111no—
580#2337—111no—
581#2335—111no—
582#2335—111no—
583#2334—111no—
584#2334—111no—
585#2333—111no—
586#2333—111no—
587#2329—111no—
588#2325—111no—
589#2321—111no—
590#2321D1111yescharacteristic, complemented
591#2318—111no—
592#2318—111no—
593#2312—111no—
594C4×#126—111no—
595C4×#126—111no—
596C4×#124—111no—
597C4×#124—111no—
598C4×C22⋊Q8—111no—
599C4×#123—111no—
600C4×#123—111no—
601C4×#121—111no—
602C4×#121—111no—
603C4×#121—111no—
604C4×#120—111no—
605C4×#120—111no—
606C42×D4—111no—
607C42×D4—111no—
608C2×C4×C22⋊C4—111no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—28no—
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—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—44no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11—44no—
636C23×C11—44no—
637C23×C11—44no—
638C23×C11C23×C412yes—
639C23×C11C23×C412yes—
640C23×C11C23×C412yes—
641C23×C11C23×C412yes—
642C23×C11C2×#4112yes—
643C23×C11C2×#4112yes—
644C23×C11C2511yescharacteristic
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11C23×C412yes—
652D4×C11—28no—
653D4×C11—44no—
654D4×C11—44no—
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—44no—
684C2×C4×C11—44no—
685C2×C4×C11—44no—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C2×#4112yes—
690C2×C4×C11C2×#4112yes—
691C22⋊D11—28no—
692C22⋊D11—44no—
693C22⋊D11—44no—
694C22⋊D11—44no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
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—28no—
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—44no—
731C2×Dic11—44no—
732C2×Dic11—44no—
733C2×Dic11—44no—
734C2×Dic11—44no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—44no—
738C2×Dic11—44no—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748C2×Dic11H(5,𝔽2)12yes—
749C2×Dic11H(5,𝔽2)12yes—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753Dic22—44no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120C2×D1111yescharacteristic
768C2×C4×Q8—111no—
769C2×C4×D4—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×D4C2×D1111yescharacteristic
780C22×C22⋊C4—111no—
781C22×C22⋊C4C2×D1111yescharacteristic
782C22×C42—111no—
783C22×C42—111no—
784C22×C42—111no—
785C22×C42—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390C2×D1111yescharacteristic
793#390C2×D1111yescharacteristic
794#389—111no—
795#389—111no—
796#389—111no—
797#389—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#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388C2×D1111yescharacteristic
819#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#388C2×D1111yescharacteristic
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—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#386—111no—
845#386C2×D1111yescharacteristic
846#386C2×D1111yescharacteristic
847#386C2×D1111yescharacteristic
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385C2×D1111yescharacteristic
858#383—111no—
859#383—111no—
860#382—111no—
861#382—111no—
862#381—111no—
863#381—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#379—111no—
869#379C2×D1111yescharacteristic
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⋊C4—111no—
878C4×C4⋊C4—111no—
879C4×C4⋊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⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4C2×D1111yescharacteristic
906C2×#95—111no—
907C2×#95—111no—
908C43—111no—
909C43—111no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
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—22no—
925C22×C11—416no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11C4×#4114yes—
939C22×C11C24×C411yescharacteristic
940C22×C11C22×#4111yescharacteristic
941C22×C11C22×#4111yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11C2×H(5,𝔽2)11yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964Dic11—22no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11#53814yescomplemented
979C25C22×D1111yescharacteristic
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—224no—
1002C23×C4—442no—
1003C23×C4—442no—
1004C23×C4C22×D1111yescharacteristic
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126—118no—
1009#124—118no—
1010#124—118no—
1011#123—118no—
1012#123—118no—
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121—118no—
1017#120—118no—
1018#120C4×D1118yescomplemented
1019C4×Q8—442no—
1020C4×D4—24no—
1021C4×D4—118no—
1022C4×D4—118no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C4×D4—224no—
1026C4×D4—442no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4—442no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—118no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
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—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—442no—
1121C2×C42—442no—
1122C2×C42—442no—
1123C2×C42—442no—
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—24no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11—42no—
1171C2×C11C2×C4×#4111yescharacteristic
1172C2×C11C4×H(5,𝔽2)11yescharacteristic
1173C2×C11C4×H(5,𝔽2)11yescharacteristic
1174C2×C11C2×#53811yescharacteristic
1175C2×C11#345511yescharacteristic
1176C2×C11#345911yescharacteristic
1177C2×C11#346011yescharacteristic
1178D11—42no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—111no—
1186C24C2×C4×D1114yes—
1187C24C23×D1111yescharacteristic
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C2×Q8—114no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—114no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4C2×C4×D1114yes—
1213C2×D4C2×C4×D1114yes—
1214C2×D4C2×C4×D1114yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—111no—
1224C22×C4—114no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
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—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
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—4416no—
1278C22×C4#434114yes—
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—114no—
1298C4⋊C4—114no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
1328C22⋊C4—114no—
1329C22⋊C4—114no—
1330C22⋊C4—114no—
1331C22⋊C4—114no—
1332C22⋊C4—114no—
1333C22⋊C4—114no—
1334C22⋊C4—114no—
1335C22⋊C4—114no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4C2×C4×D1114yes—
1352C22⋊C4C2×C4×D1114yes—
1353C22⋊C4C2×C4×D1114yes—
1354C42—22no—
1355C42—41no—
1356C42—41no—
1357C42—114no—
1358C42—114no—
1359C42—222no—
1360C42—222no—
1361C42—222no—
1362C42—222no—
1363C42—222no—
1364C42—222no—
1365C42—222no—
1366C42—222no—
1367C42—222no—
1368C42—222no—
1369C42—222no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C11C4×#53811yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—28no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
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—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—112no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23C22×C4×D1112yes—
1418C23C22×C4×D1112yes—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23C2×#434112yes—
1422C23#41×D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425D4—28no—
1426D4—44no—
1427D4—44no—
1428D4—228no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
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—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—112no—
1464C2×C4—112no—
1465C2×C4—112no—
1466C2×C4—112no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—228no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
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—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—444no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4C22×C4×D1112yes—
1524C2×C4C2×#434112yes—
1525C2×C4C2×#434112yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—416no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22C4×#434114yes—
1562C22C23×C4×D1111yescharacteristic
1563C22C22×#434111yescharacteristic
1564C22C2×#41×D1111yescharacteristic
1565C22D11×H(5,𝔽2)11yescharacteristic
1566C22D11×H(5,𝔽2)11yescharacteristic
1567C22#1062345511yescharacteristic
1568C22#1062345511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—114no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—222no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—442no—
1600C2C2×C4×#434111yescharacteristic
1601C2#1308182011yescharacteristic
1602C2#1308182011yescharacteristic
1603C2D11×#53811yescharacteristic
1604C2#1308199811yescharacteristic
1605C2#1308202211yescharacteristic
1606C2#1308202911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2321C2
socle, cosocleC23×C11C25
prime radicalC2×#10623124C2
hypercenter#2321D11
hypocenterC11C4×#538
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #13071425C2semidirect
3. #13071423C2semidirect
4. #13071413C2semidirect
5. #13071403C2semidirect
6. #13071398C2semidirect
7. #13071388C2semidirect
8. #13071377C2semidirect
9. #13071375C2semidirect
10. #13071344C2semidirect
11. #13071314C2semidirect
12. #13071274C2semidirect
13. #13071244C2semidirect
14. #13071242C2semidirect
15. #13071212C2semidirect
16. #13071170C2semidirect
17. #13071170C2semidirect
18. #13071163C2semidirect
19. #13071157C2semidirect
20. #13071148C2semidirect
21. #13071143C2semidirect
22. #13071141C2semidirect
23. #13071132C2semidirect
24. #13071126C2semidirect
25. #13071126C2semidirect
26. #120×Dic11C2semidirect
27. #13071115C2semidirect
28. C4×D4×Dic11C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2321C2semidirect
50. C22×C4×Dic11C22semidirect
51. #10623124C4semidirect
52. C2×#66940C22semidirect
59. C2×(C22⋊D11)⋊C4C22semidirect
63. C2×C42×D11C22semidirect
81. #10622826C22semidirect
83. #10622823C22semidirect
85. C4×C22⋊Dic11C22semidirect
88. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622600C22semidirect
91. #10622591C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622590C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622585C22semidirect
104. #10622570C22semidirect
107. #10622569C22semidirect
120. #10622558C22semidirect
127. #10622557C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. #10622556C22semidirect
133. #10622555C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×C4⋊Dic11C22semidirect
156. #10622546C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C42×Dic11C22semidirect
161. C42×Dic11C22semidirect
162. #10622542C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
169. #10622277C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622264C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
216. C11×#120C2×C4semidirect
241. #67006C2×C4semidirect
242. C2×C22⋊Dic11C2×C4semidirect
261. #66992C2×C4semidirect
262. #66992C2×C4semidirect
263. #66991C2×C4semidirect
264. #66989C2×C4semidirect
265. #66988C2×C4semidirect
269. D4×Dic11C2×C4semidirect
325. #66938C2×C4semidirect
326. #66936C2×C4semidirect
331. (C22⋊D11)⋊C4C2×C4semidirect
332. #66932C2×C4semidirect
333. #66932C2×C4semidirect
334. #66931C2×C4semidirect
429. C2×C22⋊D11C22×C4semidirect
459. C22×Dic11C22×C4semidirect
484. C2×C4×D11C22×C4semidirect
487. C2×Dic22C22×C4semidirect
526. C22⋊Dic11C22×C4semidirect
527. C22⋊Dic11C22×C4semidirect
534. (C2×D11)⋊C4C22×C4semidirect
535. (C2×D11)⋊C4C22×C4semidirect
539. C4⋊Dic11C22×C4semidirect
540. C4⋊Dic11C22×C4semidirect
551. Dic11⋊C4C22×C4semidirect
552. Dic11⋊C4C22×C4semidirect
553. Dic11⋊C4C22×C4semidirect
554. Dic11⋊C4C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
590. #2321D11semidirect
978. Dic11#538semidirect
1018. #120C4×D11semidirect
1380. C11C4×#538semidirect

Maximal subgroups

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

subgroupindex
C2×#106231242
#130714252
#130714232
#130714132
#130714032
#130713982
#130713882
#130713772
#130713752
#130713442
#130713142
#130712742
#130712442
#130712422
#130712122
#130711702
#130711632
#130711572
#130711482
#130711432
#130711412
#130711322
#130711262
#120×Dic112
#130711152
C4×D4×Dic112
C4×(C22⋊D11)⋊C42
C2×C22⋊C4×Dic112
C11×#23212
C4×#53811