Finite Group Databasebeta

← #14927061

Subgroups — #14927061

Order 2816.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076985C211yesmaximal, characteristic, complemented
2#13076981C211yesmaximal, characteristic, complemented
3#13076945C211yesmaximal, characteristic, complemented
4#13076913C211yesmaximal, characteristic, complemented
5#13074648C211yesmaximal, characteristic, complemented
6#13074646C211yesmaximal, characteristic, complemented
7#13074607C211yesmaximal, characteristic, complemented
8#13074605C211yesmaximal, characteristic, complemented
9#13074112C211yesmaximal, characteristic, complemented
10#13074107C211yesmaximal, characteristic, complemented
11#13073676C211yesmaximal, characteristic, complemented
12#13073212C211yesmaximal, characteristic, complemented
13#13072965C211yesmaximal, characteristic, complemented
14#13072866C211yesmaximal, characteristic, complemented
15#13072858C211yesmaximal, characteristic, complemented
16#13072413C211yesmaximal, characteristic, complemented
17#13072335C211yesmaximal, characteristic, complemented
18#13072262C211yesmaximal, characteristic, complemented
19#13072179C211yesmaximal, characteristic, complemented
20#13072077C211yesmaximal, characteristic, complemented
21#13072075C211yesmaximal, characteristic, complemented
22#13072060C211yesmaximal, characteristic, complemented
23#13071965C211yesmaximal, characteristic
24#13071275C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071210C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28C4×#66949C211yesmaximal, characteristic, complemented
29D11×#390C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2554C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#123C2211yescharacteristic, complemented
35C2×#66992C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66982C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic, complemented
42C2×#66949C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×#66942C2211yescharacteristic, complemented
45C2×#66938C2211yescharacteristic
46C2×#66938C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×#66931C2211yescharacteristic, complemented
54C2×#66929C2211yescharacteristic, complemented
55C2×C42×D11C2211yescharacteristic
56C2×C4×Dic22C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic, complemented
59C11×#394C2211yescharacteristic
60C11×#392C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#390C2211yescharacteristic, complemented
63C11×#390C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic, complemented
67C11×#386C2211yescharacteristic, complemented
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic, complemented
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic, complemented
73#10622835C2211yescharacteristic, complemented
74#10622834C2211yescharacteristic
75#10622833C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic, complemented
77#10622826C2211yescharacteristic, complemented
78#10622607C2211yescharacteristic, complemented
79#10622606C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic, complemented
82#10622604C2211yescharacteristic
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622601C2211yescharacteristic
93#10622600C2211yescharacteristic
94#10622600C2211yescharacteristic
95#10622599C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622596C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622585C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622574C2211yescharacteristic, complemented
104#10622574C2211yescharacteristic, complemented
105#10622573C2211yescharacteristic
106#10622571C2211yescharacteristic, complemented
107#10622571C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic, complemented
136#10622561C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622557C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622552C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic, complemented
164#10622287C2211yescharacteristic, complemented
165#10622285C2211yescharacteristic
166#10622285C2211yescharacteristic
167#10622283C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic
174#10622280C2211yescharacteristic
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic
177#10622279C2211yescharacteristic
178#10622279C2211yescharacteristic
179#10622273C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—42no—
202C2×D4×D11—42no—
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C11×#126—42no—
211C11×#123—42no—
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
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
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#66992—42no—
253#66992—42no—
254#66990—24no—
255#66990—24no—
256#66982—42no—
257C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
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×Dic11—42no—
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
322#66949—24no—
323C4⋊C4×D11—42no—
324#66942—42no—
325#66938—42no—
326#66938—42no—
327(C22⋊D11)⋊C4—24no—
328(C22⋊D11)⋊C4—24no—
329C22⋊C4×D11—24no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11—42no—
332C22⋊C4×D11—42no—
333#66931—42no—
334#66929—42no—
335C42×D11—42no—
336C4×Dic22—42no—
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
369#35025—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
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
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11#4114yes—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448D4×D11—416no—
449C2×D44—22no—
450C2×D44—41no—
451C2×D44—41no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11#4114yes—
466C2×C4×D11#4114yes—
467C2×Dic22—22no—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C42×C11—22no—
492C42×C11—41no—
493C42×C11—41no—
494C42×C11—41no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573#2861—111no—
574#2860—111no—
575#2854—111no—
576#2850—111no—
577#2651—111no—
578#2651—111no—
579#2648—111no—
580#2648—111no—
581#2593—111no—
582#2593—111no—
583#2554—111no—
584#2554D1111yescharacteristic, complemented
585#2513—111no—
586#2490—111no—
587#2480—111no—
588#2480—111no—
589#2448—111no—
590#2442—111no—
591#2435—111no—
592#2426—111no—
593#2418—111no—
594#2418—111no—
595#2417—111no—
596#2408—111no—
597#2321—111no—
598#2321—111no—
599#2312—111no—
600#2312—111no—
601C4×C22⋊Q8—111no—
602C2×#390—111no—
603C42×D4—111no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11C2×#4112yes—
625C23×C11C2511yescharacteristic
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661D4×C11—44no—
662D4×C11—82no—
663D4×C11—82no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—44no—
698C2×C4×C11C2×#4112yes—
699C2×C4×C11C2×#4112yes—
700C2×C4×C11H(5,𝔽2)12yes—
701C22⋊D11—28no—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—82no—
705C22⋊D11—82no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11C2×#4112yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11C2×#4112yes—
745C2×Dic11H(5,𝔽2)12yes—
746C2×Dic11H(5,𝔽2)12yes—
747D44—44no—
748C4×D11—28no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—82no—
752C4×D11—82no—
753Dic22—44no—
754C23×D4—111no—
755C2×#126—111no—
756C2×#126C2×D1111yescharacteristic, complemented
757C2×#125—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123C2×D1111yescharacteristic, complemented
762C2×C22⋊Q8—111no—
763C2×C22⋊Q8—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C22×C4⋊C4—111no—
773C22×C22⋊C4—111no—
774C22×C22⋊C4—111no—
775C22×C22⋊C4—111no—
776C22×C22⋊C4—111no—
777C22×C42—111no—
778C22×C42—111no—
779#400—111no—
780#400—111no—
781#399—111no—
782#399—111no—
783#398—111no—
784#398—111no—
785#398—111no—
786#398C2×D1111yescharacteristic, complemented
787#397—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#396—111no—
796#396—111no—
797#396—111no—
798#396C2×D1111yescharacteristic, complemented
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394C2×D1111yescharacteristic
809#392—111no—
810#392C2×D1111yescharacteristic
811#391—111no—
812#391—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#390—111no—
822#390—111no—
823#390—111no—
824#390—111no—
825#390—111no—
826#390C2×D1111yescharacteristic
827#390C2×D1111yescharacteristic, complemented
828#390C2×D1111yescharacteristic, complemented
829#389—111no—
830#389—111no—
831#389—111no—
832#389—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388C2×D1111yescharacteristic, complemented
865#388C2×D1111yescharacteristic, complemented
866#388C2×D1111yescharacteristic, complemented
867#387—111no—
868#387—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386C2×D1111yescharacteristic, complemented
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#382—111no—
882#380—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893#379—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊C4—111no—
898C4×C4⋊C4—111no—
899C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
908C43—111no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—88no—
958C2×D11—88no—
959C2×D11#52914yes—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11#53814yes—
985C25—111no—
986C25—111no—
987C22×Q8—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—224no—
995C22×D4—442no—
996C22×D4—442no—
997C22×D4C22×D1111yescharacteristic
998C22×D4C22×D1111yescharacteristic
999C22×D4C22×D1111yescharacteristic
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4C22×D1111yescharacteristic
1008#126—42no—
1009#126—442no—
1010#125—442no—
1011#124—442no—
1012#124—442no—
1013#123—42no—
1014#123—442no—
1015C22⋊Q8—224no—
1016C22⋊Q8—442no—
1017#121—442no—
1018#121—442no—
1019#120—224no—
1020#120—224no—
1021C4×Q8—442no—
1022C4×D4—224no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
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—442no—
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—224no—
1099C2×C22⋊C4—224no—
1100C2×C22⋊C4—442no—
1101C2×C22⋊C4—442no—
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—442no—
1130C2×C42—442no—
1131C2×C42C22×D1111yescharacteristic
1132C2×C42C22×D1111yescharacteristic
1133C2×C42C22×D1111yescharacteristic
1134C2×C42C22×D1111yescharacteristic
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—42no—
1168C2×C11—81no—
1169C2×C11—81no—
1170C2×C11C2×#52911yescharacteristic
1171C2×C11C2×#53811yescharacteristic
1172C2×C11#346011yescharacteristic
1173C2×C11#350511yescharacteristic
1174C2×C11#350811yescharacteristic
1175C2×C11#351411yescharacteristic
1176C2×C11#351911yescharacteristic
1177D11—24no—
1178D11—81no—
1179D11—81no—
1180C24—111no—
1181C24—111no—
1182C24—111no—
1183C24—222no—
1184C24—222no—
1185C24—222no—
1186C24—222no—
1187C24—222no—
1188C24—222no—
1189C24—441no—
1190C24—441no—
1191C24—441no—
1192C24—441no—
1193C24—441no—
1194C24—441no—
1195C24—441no—
1196C24—441no—
1197C24C23×D1111yescharacteristic
1198C24C23×D1111yescharacteristic
1199C24C23×D1111yescharacteristic
1200C2×Q8—222no—
1201C2×Q8—222no—
1202C2×Q8—222no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—114no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—4416no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
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—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4C23×D1111yescharacteristic
1269C22×C4C23×D1111yescharacteristic
1270C22×C4C23×D1111yescharacteristic
1271C22×C4C23×D1111yescharacteristic
1272C22×C4C23×D1111yescharacteristic
1273C22×C4C23×D1111yescharacteristic
1274C22×C4C23×D1111yescharacteristic
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—222no—
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—222no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—441no—
1298C4⋊C4—441no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
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⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C42—22no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—222no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—222no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C11#3502511yescharacteristic, complemented, Sylow
1384C23—21no—
1385C23—21no—
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—112no—
1405C23—112no—
1406C23—112no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—882no—
1432C23—882no—
1433C23—882no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23—882no—
1438C23—882no—
1439C23#41×D1112yes—
1440C23C24×D1111yescharacteristic
1441Q8—444no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—228no—
1446D4—444no—
1447D4—444no—
1448D4—444no—
1449D4—882no—
1450D4—882no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—112no—
1490C2×C4—228no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—882no—
1530C2×C4—882no—
1531C2×C4#6703712yes—
1532C2×C4#41×D1112yes—
1533C2×C4#41×D1112yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
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—41no—
1555C22—114no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—888no—
1577C22—888no—
1578C22C2×#6703711yescharacteristic
1579C22C2×#41×D1111yescharacteristic
1580C22C2×#41×D1111yescharacteristic
1581C22C2×#41×D1111yescharacteristic
1582C22#1062345311yescharacteristic
1583C22D11×H(5,𝔽2)11yescharacteristic
1584C22D11×H(5,𝔽2)11yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—114no—
1598C4—222no—
1599C4—222no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—224no—
1614C2—881no—
1615C2—881no—
1616C2D11×#52911yescharacteristic
1617C2D11×#53811yescharacteristic
1618C2#1308203011yescharacteristic
1619C2#1308244911yescharacteristic
1620C2#1308248611yescharacteristic
1621C2#1308256611yescharacteristic
1622C2#1308263711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2554C2
prime radical#13071965C2
hypercenter#2554D11
hypocenterC11#35025
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. #13076985C2semidirect
2. #13076981C2semidirect
3. #13076945C2semidirect
4. #13076913C2semidirect
5. #13074648C2semidirect
6. #13074646C2semidirect
7. #13074607C2semidirect
8. #13074605C2semidirect
9. #13074112C2semidirect
10. #13074107C2semidirect
11. #13073676C2semidirect
12. #13073212C2semidirect
13. #13072965C2semidirect
14. #13072866C2semidirect
15. #13072858C2semidirect
16. #13072413C2semidirect
17. #13072335C2semidirect
18. #13072262C2semidirect
19. #13072179C2semidirect
20. #13072077C2semidirect
21. #13072075C2semidirect
22. #13072060C2semidirect
24. #13071275C2semidirect
25. #13071275C2semidirect
26. #13071210C2semidirect
27. #13071210C2semidirect
28. C4×#66949C2semidirect
29. D11×#390C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2554C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#123C22semidirect
39. C2×#66982C22semidirect
41. C22×C4×Dic11C22semidirect
44. C2×#66942C22semidirect
53. C2×#66931C22semidirect
54. C2×#66929C22semidirect
56. C2×C4×Dic22C22semidirect
57. C11×#398C22semidirect
58. C11×#396C22semidirect
62. C11×#390C22semidirect
63. C11×#390C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#388C22semidirect
67. C11×#386C22semidirect
68. C4×C11×C4⋊C4C22semidirect
69. C4×C11×C22⋊C4C22semidirect
72. #10622835C22semidirect
73. #10622835C22semidirect
75. #10622833C22semidirect
76. #10622833C22semidirect
77. #10622826C22semidirect
78. #10622607C22semidirect
79. #10622606C22semidirect
80. #10622606C22semidirect
81. #10622605C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
95. #10622599C22semidirect
96. #10622597C22semidirect
97. #10622596C22semidirect
98. #10622594C22semidirect
99. #10622585C22semidirect
100. #10622585C22semidirect
101. #10622585C22semidirect
102. #10622585C22semidirect
103. #10622574C22semidirect
104. #10622574C22semidirect
106. #10622571C22semidirect
107. #10622571C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622564C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622562C22semidirect
135. #10622561C22semidirect
136. #10622561C22semidirect
137. #10622558C22semidirect
138. #10622558C22semidirect
139. #10622558C22semidirect
140. #10622558C22semidirect
141. #10622558C22semidirect
142. #10622558C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622557C22semidirect
146. #10622557C22semidirect
147. #10622555C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
150. #10622553C22semidirect
151. #10622553C22semidirect
152. #10622553C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C42×Dic11C22semidirect
163. #10622288C22semidirect
164. #10622287C22semidirect
167. #10622283C22semidirect
168. #10622283C22semidirect
169. #10622282C22semidirect
170. #10622282C22semidirect
171. #10622282C22semidirect
172. #10622282C22semidirect
179. #10622273C22semidirect
180. #10622270C22semidirect
181. #10622265C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
584. #2554D11semidirect
756. C2×#126C2×D11semidirect
761. C2×#123C2×D11semidirect
786. #398C2×D11semidirect
798. #396C2×D11semidirect
827. #390C2×D11semidirect
828. #390C2×D11semidirect
864. #388C2×D11semidirect
865. #388C2×D11semidirect
866. #388C2×D11semidirect
876. #386C2×D11semidirect
899. C4×C4⋊C4C2×D11semidirect
907. C4×C22⋊C4C2×D11semidirect
1383. C11#35025semidirect

Maximal subgroups

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

subgroupindex
#130769852
#130769812
#130769452
#130769132
#130746482
#130746462
#130746072
#130746052
#130741122
#130741072
#130736762
#130732122
#130729652
#130728662
#130728582
#130724132
#130723352
#130722622
#130721792
#130720772
#130720752
#130720602
#130719652
#130712752
#130712102
C4×#669492
D11×#3902
C4×(C22⋊D11)⋊C42
C11×#25542
#3502511