Finite Group Databasebeta

← #14916508

Subgroups — #14916508

Order 2816.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#123C211yesmaximal, characteristic
2#13071765C211yesmaximal, characteristic, complemented
3#13071763C211yesmaximal, characteristic, complemented
4#13071761C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071750C211yesmaximal, characteristic, complemented
7#13071748C211yesmaximal, characteristic, complemented
8#13071745C211yesmaximal, characteristic, complemented
9#13071744C211yesmaximal, characteristic, complemented
10#13071484C211yesmaximal, characteristic, complemented
11#13071482C211yesmaximal, characteristic, complemented
12#13071482C211yesmaximal, characteristic, complemented
13#13071481C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic, complemented
15#13071463C211yesmaximal, characteristic, complemented
16#13071460C211yesmaximal, characteristic, complemented
17#13071459C211yesmaximal, characteristic, complemented
18#13071411C211yesmaximal, characteristic, complemented
19#13071410C211yesmaximal, characteristic, complemented
20#13071407C211yesmaximal, characteristic, complemented
21#13071406C211yesmaximal, characteristic, complemented
22#13071403C211yesmaximal, characteristic, complemented
23#13071402C211yesmaximal, characteristic, complemented
24#13071399C211yesmaximal, characteristic, complemented
25#13071210C211yesmaximal, characteristic, complemented
26#13071210C211yesmaximal, characteristic, complemented
27#13071195C211yesmaximal, characteristic
28#13071190C211yesmaximal, characteristic
29#13070998C211yesmaximal, characteristic, complemented
30#13070997C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38D11×#123C4116yescomplemented
39C2×#66947C2211yescharacteristic
40C2×#66947C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×#66939C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×#66925C2211yescharacteristic
54C2×#66925C2211yescharacteristic
55C2×#66925C2211yescharacteristic
56C11×#390C2211yescharacteristic
57C11×#389C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#386C2211yescharacteristic
65C11×#385C2211yescharacteristic, complemented
66C11×#380C2211yescharacteristic, complemented
67C4×C11×C4⋊C4C2211yescharacteristic, complemented
68C4×C11×C22⋊C4C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic, complemented
70#10622834C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622825C2211yescharacteristic, complemented
74#10622823C2211yescharacteristic, complemented
75C4×C22⋊Dic11C2211yescharacteristic, complemented
76C4×C22⋊Dic11C2211yescharacteristic, complemented
77#10622603C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic, complemented
83#10622601C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic, complemented
87#10622600C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94C4⋊C4×Dic11C2211yescharacteristic, complemented
95#10622586C2211yescharacteristic, complemented
96#10622585C2211yescharacteristic, complemented
97#10622585C2211yescharacteristic, complemented
98#10622571C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622564C2211yescharacteristic, complemented
112#10622564C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic, complemented
114#10622564C2211yescharacteristic, complemented
115#10622563C2211yescharacteristic, complemented
116#10622559C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622558C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622557C2211yescharacteristic, complemented
124#10622557C2211yescharacteristic, complemented
125#10622555C2211yescharacteristic, complemented
126#10622555C2211yescharacteristic, complemented
127C22⋊C4×Dic11C2211yescharacteristic, complemented
128C22⋊C4×Dic11C2211yescharacteristic, complemented
129C22⋊C4×Dic11C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131#10622553C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622552C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×C4⋊Dic11C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622283C2211yescharacteristic, complemented
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×D4×D11—42no—
198C2×D4×D11—42no—
199C2×D4×D11C2×C418yes—
200C22×D44C2311yescharacteristic
201C22×C4×D11—42no—
202C22×C4×D11—42no—
203C22×C4×D11C2×C418yescomplemented
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C11×#123C2×C418yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#66988C2×C418yescomplemented
247#66982C2×C418yescomplemented
248C2×(C2×D11)⋊C4—42no—
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
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×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
312C2×C4×Dic11C2311yescharacteristic
313#66947C2×C418yescomplemented
314#66947C2×C418yescomplemented
315#66945—42no—
316#66945—42no—
317#66945—42no—
318C4⋊C4×D11C2×C418yescomplemented
319C4⋊C4×D11C2×C418yescomplemented
320#66939C2×C418yescomplemented
321#66936C2×C418yescomplemented
322#66936C2×C418yescomplemented
323C22⋊C4×D11—42no—
324C22⋊C4×D11C2×C418yes—
325C22⋊C4×D11C2×C418yes—
326C22⋊C4×D11C2×C418yescomplemented
327#66925—42no—
328#66925—42no—
329#66925—42no—
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
370#34357—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C22×C414yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11C22×C414yes—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11C22×C414yes—
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11C22×C414yes—
417C2×C22⋊D11C22×C414yes—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11C22×C414yes—
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437D4×D11—416no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44C22×C414yes—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—416no—
462C2×C4×D11C22×C414yes—
463C2×C4×D11C22×C414yes—
464C2×C4×D11C22×C414yes—
465C2×C4×D11C22×C414yes—
466C2×C4×D11C22×C414yes—
467C2×C4×D11C22×C414yes—
468C2×C4×D11C22×C414yes—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4C22×C414yes—
475C11×C4⋊C4C22×C414yes—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4C22×C414yes—
484C11×C22⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C42×C11—41no—
487C42×C11—41no—
488C42×C11—41no—
489C42×C11—41no—
490C42×C11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11C22×C414yes—
499C22⋊Dic11C22×C414yes—
500C22⋊Dic11C22×C414yes—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yes—
527(C2×D11)⋊C4C22×C414yes—
528(C2×D11)⋊C4C22×C414yes—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11C22×C414yes—
535C4⋊Dic11C22×C414yes—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4C22×C414yes—
547Dic11⋊C4C22×C414yes—
548Dic11⋊C4C22×C414yes—
549Dic11⋊C4C22×C414yes—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C22×#123—111no—
566#2376—111no—
567#2376—111no—
568#2376—111no—
569#2376—111no—
570#2374—111no—
571#2374—111no—
572#2374—111no—
573#2374—111no—
574#2344—111no—
575#2344—111no—
576#2344—111no—
577#2344—111no—
578#2342—111no—
579#2342—111no—
580#2342—111no—
581#2342—111no—
582#2335—111no—
583#2335—111no—
584#2335—111no—
585#2335—111no—
586#2335—111no—
587#2335—111no—
588#2335—111no—
589#2335D1111yescharacteristic, complemented
590#2312—111no—
591#2312—111no—
592#2309—111no—
593#2308—111no—
594#2280—111no—
595#2280—111no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11C23×C412yes—
609C23×C11C23×C412yes—
610C23×C11C2511yescharacteristic
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—28no—
628C22×D11—28no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11—82no—
638C22×D11—82no—
639C22×D11—82no—
640C22×D11—82no—
641C22×D11C23×C412yes—
642C22×D11C23×C412yes—
643C22×D11C23×C412yes—
644C22×D11H(5,𝔽2)12yes—
645C22×D11H(5,𝔽2)12yes—
646D4×C11—44no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
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—44no—
682C2×C4×C11—82no—
683C2×C4×C11C23×C412yes—
684C2×C4×C11C23×C412yes—
685C2×C4×C11C23×C412yes—
686C2×C4×C11C23×C412yes—
687C2×C4×C11C23×C412yes—
688C22⋊D11—44no—
689C22⋊D11—44no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
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—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—44no—
725C2×Dic11—82no—
726C2×Dic11C23×C412yes—
727C2×Dic11C23×C412yes—
728C2×Dic11C23×C412yes—
729C2×Dic11C23×C412yes—
730C2×Dic11C23×C412yes—
731D44—44no—
732C4×D11—28no—
733C4×D11—28no—
734C4×D11—28no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—44no—
739C4×D11—82no—
740C4×D11—82no—
741C23×D4—111no—
742C24×C4—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×#123—1116no—
746C2×#123—111no—
747C2×#123—111no—
748C2×#123—111no—
749C2×#123—111no—
750C2×#123—111no—
751C2×#123C2×D1111yescharacteristic
752C2×#117—111no—
753C2×#117—111no—
754C2×#117—111no—
755C2×#117—111no—
756C2×#117—111no—
757C2×#117—111no—
758C22×C4⋊C4—111no—
759C22×C4⋊C4—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763C22×C22⋊C4—111no—
764C22×C22⋊C4—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#390C2×D1111yescharacteristic
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—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#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388C2×D1111yescharacteristic, complemented
810#388C2×D1111yescharacteristic, complemented
811#388C2×D1111yescharacteristic, complemented
812#388C2×D1111yescharacteristic, complemented
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387C2×D1111yescharacteristic, complemented
828#387C2×D1111yescharacteristic, complemented
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386C2×D1111yescharacteristic
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385C2×D1111yescharacteristic, complemented
845#381—111no—
846#381—111no—
847#381—111no—
848#381—111no—
849#381—111no—
850#381—111no—
851#380—111no—
852#380—111no—
853#380—111no—
854#380—111no—
855#380—111no—
856#380—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380C2×D1111yescharacteristic, complemented
863#379—111no—
864#379—111no—
865#379—111no—
866#379—111no—
867#379—111no—
868#379—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4C2×D1111yescharacteristic, complemented
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4C2×D1111yescharacteristic, complemented
896C4×C22⋊C4C2×D1111yescharacteristic, complemented
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11C24×C411yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11#58511yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C22×C11#58511yescharacteristic
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—416no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—88no—
940C2×D11#51814yes—
941C4×C11—22no—
942C4×C11—22no—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—22no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954Dic11—22no—
955Dic11—22no—
956Dic11—22no—
957Dic11—22no—
958Dic11—22no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967C25—111no—
968C25—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—118no—
972C22×D4—111no—
973C22×D4—442no—
974C22×D4—442no—
975C22×D4C22×D1111yescharacteristic
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—118no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—442no—
989C23×C4—442no—
990C23×C4C22×D1111yescharacteristic
991C23×C4C22×D1111yescharacteristic
992#123—118no—
993#123—118no—
994#123—118no—
995#123—118no—
996#123—118no—
997#123—118no—
998#123—118no—
999#123C4×D1118yescomplemented
1000#117—442no—
1001#117—442no—
1002#117—442no—
1003#117—442no—
1004#117—442no—
1005#117—442no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—118no—
1013C2×C4⋊C4—118no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—118no—
1046C2×C22⋊C4—118no—
1047C2×C22⋊C4—118no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
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—442no—
1078C2×C22⋊C4—442no—
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42C22×D1111yescharacteristic
1105C2×C42C22×D1111yescharacteristic
1106C2×C42C22×D1111yescharacteristic
1107C2×C42C22×D1111yescharacteristic
1108C2×C42C22×D1111yescharacteristic
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—42no—
1150C2×C11—42no—
1151C2×C11C2×#51811yescharacteristic
1152C2×C11#342811yescharacteristic
1153C2×C11#342811yescharacteristic
1154C2×C11#353311yescharacteristic
1155C2×C11#353311yescharacteristic
1156C2×C11#353311yescharacteristic
1157C2×C11#353311yescharacteristic
1158D11—24no—
1159D11—42no—
1160D11—42no—
1161C24—111no—
1162C24—111no—
1163C24—111no—
1164C24—114no—
1165C24—114no—
1166C24—222no—
1167C24—222no—
1168C24—222no—
1169C24—222no—
1170C24—441no—
1171C24—441no—
1172C24—441no—
1173C24—441no—
1174C24—441no—
1175C24—441no—
1176C24—441no—
1177C24—441no—
1178C24C23×D1111yescharacteristic
1179C24C23×D1111yescharacteristic
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—114no—
1183C2×D4—114no—
1184C2×D4—114no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—4416no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4C2×C4×D1114yes—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—114no—
1204C22×C4—114no—
1205C22×C4—114no—
1206C22×C4—114no—
1207C22×C4—114no—
1208C22×C4—114no—
1209C22×C4—114no—
1210C22×C4—114no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—4416no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4C2×C4×D1114yes—
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—114no—
1265C4⋊C4—114no—
1266C4⋊C4—114no—
1267C4⋊C4—114no—
1268C4⋊C4—114no—
1269C4⋊C4—114no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4C2×C4×D1114yes—
1286C4⋊C4C2×C4×D1114yes—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—114no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
1297C22⋊C4—114no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—114no—
1302C22⋊C4—114no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
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⋊C4C2×C4×D1114yes—
1333C22⋊C4C2×C4×D1114yes—
1334C22⋊C4C2×C4×D1114yes—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C42—441no—
1351C42—441no—
1352C42—441no—
1353C42—441no—
1354C42—441no—
1355C11#3435711yescharacteristic, complemented, Sylow
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—112no—
1369C23—112no—
1370C23—112no—
1371C23—112no—
1372C23—112no—
1373C23—228no—
1374C23—228no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—444no—
1392C23—444no—
1393C23—444no—
1394C23—444no—
1395C23—444no—
1396C23—444no—
1397C23—444no—
1398C23—444no—
1399C23—882no—
1400C23—882no—
1401C23—882no—
1402C23—882no—
1403C23C22×C4×D1112yes—
1404C23C22×C4×D1112yes—
1405C23C24×D1111yescharacteristic
1406D4—44no—
1407D4—444no—
1408D4—444no—
1409D4—444no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
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—44no—
1445C2×C4—82no—
1446C2×C4—112no—
1447C2×C4—112no—
1448C2×C4—112no—
1449C2×C4—112no—
1450C2×C4—112no—
1451C2×C4—228no—
1452C2×C4—228no—
1453C2×C4—228no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
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—444no—
1489C2×C4—444no—
1490C2×C4—444no—
1491C2×C4—444no—
1492C2×C4—444no—
1493C2×C4—882no—
1494C2×C4—882no—
1495C2×C4—882no—
1496C2×C4C22×C4×D1112yes—
1497C2×C4C22×C4×D1112yes—
1498C2×C4C22×C4×D1112yes—
1499C2×C4C22×C4×D1112yes—
1500C2×C4C22×C4×D1112yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—114no—
1516C22—222no—
1517C22—222no—
1518C22—222no—
1519C22—222no—
1520C22—222no—
1521C22—222no—
1522C22—222no—
1523C22—222no—
1524C22—222no—
1525C22—222no—
1526C22—222no—
1527C22—222no—
1528C22—4416no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—888no—
1538C22C23×C4×D1111yescharacteristic
1539C22#1062345311yescharacteristic
1540C22#1062345311yescharacteristic
1541C22D11×H(5,𝔽2)11yescharacteristic
1542C22D11×H(5,𝔽2)11yescharacteristic
1543C22#1062345511yescharacteristic
1544C22#1062345711yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—222no—
1559C4—222no—
1560C4—222no—
1561C4—222no—
1562C4—222no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C2—42no—
1572C2—42no—
1573C2—224no—
1574C2—442no—
1575C2—442no—
1576C2D11×#51811yescharacteristic
1577C2#1308181511yescharacteristic
1578C2#1308181611yescharacteristic
1579C2#1308277611yescharacteristic
1580C2#1308277911yescharacteristic
1581C2#1308278311yescharacteristic
1582C2#1308279111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2335C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2335D11
hypocenterC11#34357
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #13071765C2semidirect
3. #13071763C2semidirect
4. #13071761C2semidirect
5. #13071758C2semidirect
6. #13071750C2semidirect
7. #13071748C2semidirect
8. #13071745C2semidirect
9. #13071744C2semidirect
10. #13071484C2semidirect
11. #13071482C2semidirect
12. #13071482C2semidirect
13. #13071481C2semidirect
14. #13071464C2semidirect
15. #13071463C2semidirect
16. #13071460C2semidirect
17. #13071459C2semidirect
18. #13071411C2semidirect
19. #13071410C2semidirect
20. #13071407C2semidirect
21. #13071406C2semidirect
22. #13071403C2semidirect
23. #13071402C2semidirect
24. #13071399C2semidirect
25. #13071210C2semidirect
26. #13071210C2semidirect
29. #13070998C2semidirect
30. #13070997C2semidirect
31. C11×#2335C2semidirect
38. D11×#123C4semidirect
57. C11×#389C22semidirect
58. C11×#388C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
62. C11×#387C22semidirect
63. C11×#387C22semidirect
65. C11×#385C22semidirect
66. C11×#380C22semidirect
67. C4×C11×C4⋊C4C22semidirect
68. C4×C11×C22⋊C4C22semidirect
69. C4×C11×C22⋊C4C22semidirect
73. #10622825C22semidirect
74. #10622823C22semidirect
75. C4×C22⋊Dic11C22semidirect
76. C4×C22⋊Dic11C22semidirect
77. #10622603C22semidirect
78. #10622603C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
81. #10622602C22semidirect
82. #10622602C22semidirect
86. #10622600C22semidirect
87. #10622600C22semidirect
88. #10622598C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622591C22semidirect
92. #10622591C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. C4⋊C4×Dic11C22semidirect
95. #10622586C22semidirect
96. #10622585C22semidirect
97. #10622585C22semidirect
111. #10622564C22semidirect
112. #10622564C22semidirect
113. #10622564C22semidirect
114. #10622564C22semidirect
115. #10622563C22semidirect
116. #10622559C22semidirect
117. #10622558C22semidirect
118. #10622558C22semidirect
119. #10622558C22semidirect
120. #10622558C22semidirect
121. #10622557C22semidirect
122. #10622557C22semidirect
123. #10622557C22semidirect
124. #10622557C22semidirect
125. #10622555C22semidirect
126. #10622555C22semidirect
127. C22⋊C4×Dic11C22semidirect
128. C22⋊C4×Dic11C22semidirect
129. C22⋊C4×Dic11C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. #10622553C22semidirect
132. #10622553C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×C4⋊Dic11C22semidirect
143. #10622546C22semidirect
144. #10622546C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. #10622541C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622283C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
160. #10622280C22semidirect
161. #10622280C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
203. C22×C4×D11C2×C4semidirect
213. C11×#123C2×C4semidirect
246. #66988C2×C4semidirect
247. #66982C2×C4semidirect
313. #66947C2×C4semidirect
314. #66947C2×C4semidirect
318. C4⋊C4×D11C2×C4semidirect
319. C4⋊C4×D11C2×C4semidirect
320. #66939C2×C4semidirect
321. #66936C2×C4semidirect
322. #66936C2×C4semidirect
326. C22⋊C4×D11C2×C4semidirect
589. #2335D11semidirect
780. #389C2×D11semidirect
809. #388C2×D11semidirect
810. #388C2×D11semidirect
811. #388C2×D11semidirect
812. #388C2×D11semidirect
827. #387C2×D11semidirect
828. #387C2×D11semidirect
844. #385C2×D11semidirect
862. #380C2×D11semidirect
876. C4×C4⋊C4C2×D11semidirect
895. C4×C22⋊C4C2×D11semidirect
896. C4×C22⋊C4C2×D11semidirect
999. #123C4×D11semidirect
1355. C11#34357semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1232
#130717652
#130717632
#130717612
#130717582
#130717502
#130717482
#130717452
#130717442
#130714842
#130714822
#130714812
#130714642
#130714632
#130714602
#130714592
#130714112
#130714102
#130714072
#130714062
#130714032
#130714022
#130713992
#130712102
#130711952
#130711902
#130709982
#130709972
C11×#23352
#3435711