Finite Group Databasebeta

← #14960866

Subgroups — #14960866

Order 2816.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic, complemented
2C2×#10623055C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075288C211yesmaximal, characteristic, complemented
6#13075243C211yesmaximal, characteristic, complemented
7#13075209C211yesmaximal, characteristic, complemented
8#13075202C211yesmaximal, characteristic, complemented
9#13075034C211yesmaximal, characteristic, complemented
10#13074984C211yesmaximal, characteristic, complemented
11#13074973C211yesmaximal, characteristic, complemented
12#13074963C211yesmaximal, characteristic, complemented
13#13074949C211yesmaximal, characteristic, complemented
14#13074946C211yesmaximal, characteristic, complemented
15#13074946C211yesmaximal, characteristic, complemented
16#13074936C211yesmaximal, characteristic, complemented
17#13074864C211yesmaximal, characteristic, complemented
18#13074839C211yesmaximal, characteristic, complemented
19#13074831C211yesmaximal, characteristic, complemented
20#13074831C211yesmaximal, characteristic, complemented
21#13074507C211yesmaximal, characteristic, complemented
22#13074465C211yesmaximal, characteristic, complemented
23#13074303C211yesmaximal, characteristic, complemented
24#13074245C211yesmaximal, characteristic, complemented
25#13074205C211yesmaximal, characteristic, complemented
26#13073587C211yesmaximal, characteristic, complemented
27#13073510C211yesmaximal, characteristic, complemented
28#13071960C211yesmaximal, characteristic, complemented
29#13071933C211yesmaximal, characteristic, complemented
30#13071254C211yesmaximal, characteristic, complemented
31C11×#2601C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic, complemented
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66992C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39#10623235—28no—
40#10623055—28no—
41C2×#66951C2211yescharacteristic, complemented
42C2×#66950C2211yescharacteristic, complemented
43C2×#66950C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic, complemented
46C2×#66948C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66946C2211yescharacteristic, complemented
54C2×#66939C2211yescharacteristic
55C2×#66939C2211yescharacteristic, complemented
56C2×#66938C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic, complemented
60C2×#66936C2211yescharacteristic, complemented
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×#66935C2211yescharacteristic, complemented
66C2×#66935C2211yescharacteristic, complemented
67C2×#66935C2211yescharacteristic, complemented
68C2×#66935C2211yescharacteristic, complemented
69C2×C22⋊C4×D11C2211yescharacteristic, complemented
70C2×#66928C2211yescharacteristic, complemented
71C2×#66928C2211yescharacteristic, complemented
72C2×#66927C2211yescharacteristic
73C2×C4×D44C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C2×C4×D44C2211yescharacteristic, complemented
76C2×C4×D44C2211yescharacteristic, complemented
77C11×#398C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#390C2211yescharacteristic
82C11×#389C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#387C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic
88C11×#385C2211yescharacteristic, complemented
89C4×C11×C4⋊C4C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622826C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic, complemented
98#10622604C2211yescharacteristic, complemented
99#10622604C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic, complemented
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622604C2211yescharacteristic, complemented
105#10622604C2211yescharacteristic, complemented
106#10622603C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622603C2211yescharacteristic, complemented
110#10622603C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622601C2211yescharacteristic
115#10622601C2211yescharacteristic
116#10622596C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622586C2211yescharacteristic, complemented
119#10622586C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic, complemented
141#10622568C2211yescharacteristic, complemented
142#10622566C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622552C2211yescharacteristic, complemented
155#10622545C2211yescharacteristic, complemented
156#10622542C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622286C2211yescharacteristic, complemented
161#10622285C2211yescharacteristic
162#10622285C2211yescharacteristic
163#10622285C2211yescharacteristic
164#10622285C2211yescharacteristic, complemented
165#10622284C2211yescharacteristic
166#10622284C2211yescharacteristic
167#10622284C2211yescharacteristic, complemented
168#10622284C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622277C2211yescharacteristic, complemented
184#10622277C2211yescharacteristic, complemented
185#10622273C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187#10622268C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C2×#4339—24no—
203C2×#4339—42no—
204C2×#4339—42no—
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×C4×D11—24no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#126—24no—
232C11×#117—24no—
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66992—42no—
264#66990—42no—
265#66990—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327#66951—24no—
328#66950—24no—
329#66950—24no—
330#66949—24no—
331#66949—42no—
332#66948—24no—
333#66948—24no—
334#66948—24no—
335#66948—24no—
336#66947—24no—
337#66947—42no—
338#66947—42no—
339#66946—24no—
340#66939—24no—
341#66939—24no—
342#66938—24no—
343#66937—24no—
344#66937—42no—
345#66937—42no—
346#66936—24no—
347#66935—24no—
348#66935—24no—
349#66935—24no—
350#66935—24no—
351#66935—42no—
352#66935—42no—
353#66935—42no—
354#66935—42no—
355C22⋊C4×D11—24no—
356#66928—24no—
357#66928—42no—
358#66927—42no—
359C4×D44—24no—
360C4×D44—24no—
361C4×D44—24no—
362C4×D44D418yescomplemented
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36724—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—41no—
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470#4339—416no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—22no—
475C2×D44—22no—
476C2×D44—22no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
490C2×D44—41no—
491C2×D44—41no—
492C2×D44—41no—
493C2×D44—41no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44C2×D414yes—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—416no—
533C2×C4×D11C2×D414yes—
534C2×C4×D11C2×D414yes—
535C2×Dic22—22no—
536C2×Dic22—22no—
537C2×Dic22—22no—
538C2×Dic22—41no—
539C2×Dic22—41no—
540C2×Dic22—41no—
541C11×C4⋊C4—22no—
542C11×C4⋊C4—22no—
543C11×C4⋊C4—22no—
544C11×C4⋊C4—22no—
545C11×C4⋊C4—22no—
546C11×C4⋊C4—22no—
547C11×C4⋊C4—41no—
548C11×C4⋊C4—41no—
549C11×C4⋊C4—41no—
550C11×C4⋊C4—41no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C42×C11—22no—
563C42×C11—41no—
564C42×C11—41no—
565C42×C11C2×D414yes—
566C22⋊Dic11—22no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599(C2×D11)⋊C4—41no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4C2×D414yes—
614(C2×D11)⋊C4C2×D414yes—
615C4⋊Dic11—22no—
616C4⋊Dic11—22no—
617C4⋊Dic11—22no—
618C4⋊Dic11C2×D414yes—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623Dic11⋊C4—41no—
624Dic11⋊C4—41no—
625Dic11⋊C4—41no—
626Dic11⋊C4—41no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629C4×Dic11—22no—
630C4×Dic11—41no—
631C4×Dic11—41no—
632C2×#538—111no—
633C2×#525—111no—
634#2849—111no—
635#2847—111no—
636#2705—111no—
637#2702—111no—
638#2700—111no—
639#2699—111no—
640#2687—111no—
641#2682—111no—
642#2681—111no—
643#2681—111no—
644#2679—111no—
645#2678—111no—
646#2678—111no—
647#2678—111no—
648#2672—111no—
649#2670—111no—
650#2669—111no—
651#2669—111no—
652#2635—111no—
653#2630—111no—
654#2610—111no—
655#2603—111no—
656#2601D1111yescharacteristic, complemented
657#2600—111no—
658#2544—111no—
659#2534—111no—
660#2407—111no—
661#2404—111no—
662#2319—111no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11H(5,𝔽2)12yes—
677C23×C11C2511yescharacteristic
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11—44no—
723C22×D11—44no—
724C22×D11—44no—
725C22×D11—82no—
726C22×D11—82no—
727C22×D11—82no—
728C22×D11—82no—
729C22×D11—82no—
730C22×D11—82no—
731C22×D11C22×D412yes—
732C22×D11C22×D412yes—
733C22×D11H(5,𝔽2)12yes—
734D4×C11—82no—
735C2×C4×C11—28no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11C22×D412yes—
772C2×C4×C11C22×D412yes—
773C2×C4×C11C22×D412yes—
774C2×C4×C11H(5,𝔽2)12yes—
775C22⋊D11—44no—
776C22⋊D11—44no—
777C22⋊D11—82no—
778C22⋊D11—82no—
779C22⋊D11—82no—
780C22⋊D11—82no—
781C22⋊D11—82no—
782C22⋊D11—82no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—44no—
812C2×Dic11C22×D412yes—
813C2×Dic11C22×D412yes—
814D44—44no—
815D44—44no—
816D44—44no—
817D44—44no—
818D44—44no—
819D44—44no—
820D44—82no—
821D44—82no—
822D44—82no—
823D44—82no—
824D44—82no—
825D44—82no—
826D44—82no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—44no—
831C4×D11—44no—
832C4×D11—44no—
833C4×D11—82no—
834C4×D11—82no—
835Dic22—44no—
836Dic22—82no—
837C22×#41—111no—
838C24×C4—111no—
839#538—228no—
840C2×#127—111no—
841C2×#126—111no—
842C2×#126C2×D1111yescharacteristic, complemented
843C2×#124—111no—
844C2×#124—111no—
845C2×#124—111no—
846#525—228no—
847C2×#123—111no—
848C2×#123—111no—
849C2×#123—111no—
850C2×#123—111no—
851C2×#123—111no—
852C2×#123—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8—111no—
857C2×#121—111no—
858C2×#121—111no—
859C2×#121—111no—
860C2×#121—111no—
861C2×#121—111no—
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#120—111no—
866C2×#120—111no—
867C2×#120—111no—
868C2×#120—111no—
869C2×#120—111no—
870C2×#120—111no—
871C2×#120—111no—
872C2×#120—111no—
873C2×#120—111no—
874C2×#120—111no—
875C2×C4×D4—111no—
876C2×C4×D4—111no—
877C2×C4×D4—111no—
878C2×C4×D4—111no—
879C2×C4×D4—111no—
880C2×#117C2×D1111yescharacteristic, complemented
881C22×C22⋊C4—111no—
882#400—111no—
883#399—111no—
884#398—111no—
885#398—111no—
886#398C2×D1111yescharacteristic, complemented
887#397—111no—
888#397—111no—
889#397—111no—
890#396—111no—
891#396—111no—
892#396—111no—
893#396—111no—
894#396C2×D1111yescharacteristic, complemented
895#396C2×D1111yescharacteristic, complemented
896#395—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394—111no—
913#394—111no—
914#394—111no—
915#394C2×D1111yescharacteristic
916#393—111no—
917#393—111no—
918#393—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#391—111no—
931#391—111no—
932#390—111no—
933#390—111no—
934#390—111no—
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390C2×D1111yescharacteristic
941#389—111no—
942#389—111no—
943#389C2×D1111yescharacteristic, complemented
944#388—111no—
945#388—111no—
946#388—111no—
947#388—111no—
948#388—111no—
949#388—111no—
950#388—111no—
951#388—111no—
952#388—111no—
953#388—111no—
954#388—111no—
955#388C2×D1111yescharacteristic, complemented
956#388C2×D1111yescharacteristic, complemented
957#388C2×D1111yescharacteristic, complemented
958#387—111no—
959#387C2×D1111yescharacteristic, complemented
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386—111no—
974#386—111no—
975#386C2×D1111yescharacteristic
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385C2×D1111yescharacteristic, complemented
982#381—111no—
983#381—111no—
984#381—111no—
985#381—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#379—111no—
991#379—111no—
992C4×C4⋊C4C2×D1111yescharacteristic, complemented
993#376—111no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—22no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11C23×D411yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11C2×H(5,𝔽2)11yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11#58511yescharacteristic
1013C22×C11#58511yescharacteristic
1014C22×C11#58511yescharacteristic
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—22no—
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—22no—
1024C2×D11—416no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—88no—
1059C4×C11—22no—
1060C4×C11—22no—
1061C4×C11—22no—
1062C4×C11—22no—
1063C4×C11—41no—
1064C4×C11—41no—
1065C4×C11—41no—
1066C4×C11—41no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072Dic11—22no—
1073Dic11—22no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082C25—111no—
1083C25—111no—
1084C2×#41—224no—
1085C2×#41—442no—
1086C2×#41—442no—
1087C22×Q8—111no—
1088C22×Q8—111no—
1089C22×D4—111no—
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C22×D4—111no—
1110C22×D4C22×D1111yescharacteristic
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—224no—
1121C23×C4—442no—
1122C23×C4—442no—
1123C23×C4C22×D1111yescharacteristic
1124#127—442no—
1125#126—24no—
1126#126—224no—
1127#124—224no—
1128#124—224no—
1129#124—442no—
1130#123—224no—
1131#123—224no—
1132#123—224no—
1133#123—224no—
1134#123—442no—
1135#123—442no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—442no—
1140#121—224no—
1141#121—224no—
1142#121—224no—
1143#121—224no—
1144#121—224no—
1145#121—442no—
1146#121—442no—
1147#121—442no—
1148#120—224no—
1149#120—224no—
1150#120—224no—
1151#120—224no—
1152#120—442no—
1153#120—442no—
1154#120—442no—
1155#120—442no—
1156#120—442no—
1157#120—442no—
1158C4×D4—118no—
1159C4×D4—224no—
1160C4×D4—224no—
1161C4×D4—224no—
1162C4×D4—224no—
1163#117—24no—
1164C2×C4⋊C4—111no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4C22×D1111yescharacteristic
1179C2×C4⋊C4C22×D1111yescharacteristic
1180C2×C4⋊C4C22×D1111yescharacteristic
1181C2×C4⋊C4C22×D1111yescharacteristic
1182C2×C4⋊C4C22×D1111yescharacteristic
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—224no—
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C22⋊C4C22×D1111yescharacteristic
1247C2×C22⋊C4C22×D1111yescharacteristic
1248C2×C22⋊C4C22×D1111yescharacteristic
1249C2×C42—111no—
1250C2×C42—111no—
1251C2×C42—111no—
1252C2×C42C22×D1111yescharacteristic
1253C2×C42C22×D1111yescharacteristic
1254C2×C42C22×D1111yescharacteristic
1255C2×C42C22×D1111yescharacteristic
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95—111no—
1273#95—111no—
1274#95—111no—
1275#95—111no—
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282#95C22×D1111yescharacteristic
1283#95C22×D1111yescharacteristic
1284C2×C11—42no—
1285C2×C11—81no—
1286C2×C11#344911yescharacteristic
1287C2×C11#348411yescharacteristic
1288C2×C11#348811yescharacteristic
1289C2×C11#353311yescharacteristic
1290C2×C11#353411yescharacteristic
1291C2×C11#354011yescharacteristic
1292C2×C11#354211yescharacteristic
1293D11—42no—
1294D11—42no—
1295D11—42no—
1296D11—81no—
1297D11—81no—
1298D11—81no—
1299C24—111no—
1300C24—111no—
1301C24—111no—
1302C24—111no—
1303C24—111no—
1304C24—111no—
1305C24—222no—
1306C24—222no—
1307C24—222no—
1308C24—222no—
1309C24—441no—
1310C24—441no—
1311C24—441no—
1312C24—441no—
1313C24—441no—
1314C24—441no—
1315C24—441no—
1316C24—441no—
1317C24—441no—
1318C24—441no—
1319C24C23×D1111yescharacteristic
1320C24C23×D1111yescharacteristic
1321#41—4416no—
1322C2×Q8—222no—
1323C2×Q8—222no—
1324C2×Q8—222no—
1325C2×Q8—441no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×D4—22no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—114no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—441no—
1355C2×D4—441no—
1356C2×D4—441no—
1357C2×D4—441no—
1358C2×D4—441no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C2×D4—441no—
1386C2×D4—441no—
1387C2×D4—441no—
1388C2×D4—441no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4—441no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—114no—
1400C22×C4—114no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—222no—
1410C22×C4—222no—
1411C22×C4—222no—
1412C22×C4—222no—
1413C22×C4—222no—
1414C22×C4—222no—
1415C22×C4—222no—
1416C22×C4—222no—
1417C22×C4—222no—
1418C22×C4—222no—
1419C22×C4—441no—
1420C22×C4—441no—
1421C22×C4—441no—
1422C22×C4—441no—
1423C22×C4—441no—
1424C22×C4—441no—
1425C22×C4—441no—
1426C22×C4—441no—
1427C22×C4—441no—
1428C22×C4—441no—
1429C22×C4—441no—
1430C22×C4—441no—
1431C22×C4—441no—
1432C22×C4—441no—
1433C22×C4—4416no—
1434C22×C4—441no—
1435C22×C4C23×D1111yescharacteristic
1436C22×C4C23×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438C22×C4C23×D1111yescharacteristic
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—114no—
1459C4⋊C4—222no—
1460C4⋊C4—222no—
1461C4⋊C4—222no—
1462C4⋊C4—222no—
1463C4⋊C4—222no—
1464C4⋊C4—441no—
1465C4⋊C4—441no—
1466C4⋊C4—441no—
1467C4⋊C4—441no—
1468C4⋊C4—441no—
1469C4⋊C4—441no—
1470C4⋊C4—441no—
1471C4⋊C4—441no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—114no—
1484C22⋊C4—114no—
1485C22⋊C4—222no—
1486C22⋊C4—222no—
1487C22⋊C4—222no—
1488C22⋊C4—222no—
1489C22⋊C4—222no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—441no—
1506C22⋊C4—441no—
1507C22⋊C4—441no—
1508C22⋊C4—441no—
1509C22⋊C4—441no—
1510C22⋊C4—441no—
1511C22⋊C4—441no—
1512C22⋊C4—441no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C42—22no—
1533C42—41no—
1534C42—41no—
1535C42—222no—
1536C42—441no—
1537C42—441no—
1538C42D4×D1114yes—
1539C11#3672411yescharacteristic, complemented, Sylow
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—112no—
1554C23—112no—
1555C23—112no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—221no—
1587C23—221no—
1588C23—221no—
1589C23—221no—
1590C23—221no—
1591C23—221no—
1592C23—221no—
1593C23—221no—
1594C23—221no—
1595C23—444no—
1596C23—444no—
1597C23—444no—
1598C23—444no—
1599C23—444no—
1600C23—444no—
1601C23—444no—
1602C23—444no—
1603C23—882no—
1604C23—882no—
1605C23—882no—
1606C23—882no—
1607C23—882no—
1608C23—882no—
1609C23#6704212yes—
1610C23C24×D1111yescharacteristic
1611Q8—444no—
1612Q8—882no—
1613D4—82no—
1614D4—444no—
1615D4—444no—
1616D4—444no—
1617D4—444no—
1618D4—444no—
1619D4—444no—
1620D4—444no—
1621D4—444no—
1622D4—882no—
1623D4—882no—
1624D4—882no—
1625D4—882no—
1626D4—882no—
1627D4—882no—
1628D4—882no—
1629D4—882no—
1630D4—882no—
1631D4—882no—
1632D4—882no—
1633D4—882no—
1634D4—882no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—112no—
1672C2×C4—112no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—221no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—444no—
1702C2×C4—444no—
1703C2×C4—444no—
1704C2×C4—444no—
1705C2×C4—444no—
1706C2×C4—444no—
1707C2×C4—444no—
1708C2×C4—882no—
1709C2×C4—882no—
1710C2×C4C2×D4×D1112yes—
1711C2×C4C2×D4×D1112yes—
1712C2×C4C2×D4×D1112yes—
1713C2×C4#6704212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—222no—
1729C22—222no—
1730C22—222no—
1731C22—222no—
1732C22—222no—
1733C22—222no—
1734C22—222no—
1735C22—222no—
1736C22—222no—
1737C22—4416no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—441no—
1769C22—441no—
1770C22—441no—
1771C22—888no—
1772C22C22×D4×D1111yescharacteristic
1773C22C2×#6704211yescharacteristic
1774C22C2×#6704211yescharacteristic
1775C22#1062345311yescharacteristic
1776C22#1062345311yescharacteristic
1777C22D11×H(5,𝔽2)11yescharacteristic
1778C22#1062345711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—222no—
1793C4—222no—
1794C4—441no—
1795C4—441no—
1796C4—441no—
1797C4—441no—
1798C4—441no—
1799C4—441no—
1800C4—441no—
1801C4—441no—
1802C2—42no—
1803C2—81no—
1804C2—442no—
1805C2—442no—
1806C2—442no—
1807C2—881no—
1808C2—881no—
1809C2—881no—
1810C2#1308194311yescharacteristic
1811C2#1308224911yescharacteristic
1812C2#1308228011yescharacteristic
1813C2#1308278211yescharacteristic
1814C2#1308280911yescharacteristic
1815C2#1308289211yescharacteristic
1816C2#1308293511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2601C2
hypercenter#2601D11
hypocenterC11#36724
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#10623235C2semidirect
2. C2×#10623055C2semidirect
3. #13076911C2semidirect
4. #13076897C2semidirect
5. #13075288C2semidirect
6. #13075243C2semidirect
7. #13075209C2semidirect
8. #13075202C2semidirect
9. #13075034C2semidirect
10. #13074984C2semidirect
11. #13074973C2semidirect
12. #13074963C2semidirect
13. #13074949C2semidirect
14. #13074946C2semidirect
15. #13074946C2semidirect
16. #13074936C2semidirect
17. #13074864C2semidirect
18. #13074839C2semidirect
19. #13074831C2semidirect
20. #13074831C2semidirect
21. #13074507C2semidirect
22. #13074465C2semidirect
23. #13074303C2semidirect
24. #13074245C2semidirect
25. #13074205C2semidirect
26. #13073587C2semidirect
27. #13073510C2semidirect
28. #13071960C2semidirect
29. #13071933C2semidirect
30. #13071254C2semidirect
31. C11×#2601C2semidirect
33. C23×C4×D11C22semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#117C22semidirect
41. C2×#66951C22semidirect
42. C2×#66950C22semidirect
43. C2×#66950C22semidirect
44. C2×#66949C22semidirect
45. C2×#66949C22semidirect
53. C2×#66946C22semidirect
55. C2×#66939C22semidirect
59. C2×#66937C22semidirect
60. C2×#66936C22semidirect
65. C2×#66935C22semidirect
66. C2×#66935C22semidirect
67. C2×#66935C22semidirect
68. C2×#66935C22semidirect
69. C2×C22⋊C4×D11C22semidirect
70. C2×#66928C22semidirect
71. C2×#66928C22semidirect
75. C2×C4×D44C22semidirect
76. C2×C4×D44C22semidirect
77. C11×#398C22semidirect
78. C11×#396C22semidirect
79. C11×#396C22semidirect
82. C11×#389C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
85. C11×#388C22semidirect
86. C11×#387C22semidirect
88. C11×#385C22semidirect
89. C4×C11×C4⋊C4C22semidirect
92. #10622826C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622605C22semidirect
97. #10622604C22semidirect
98. #10622604C22semidirect
99. #10622604C22semidirect
100. #10622604C22semidirect
101. #10622604C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
104. #10622604C22semidirect
105. #10622604C22semidirect
106. #10622603C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
109. #10622603C22semidirect
110. #10622603C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
116. #10622596C22semidirect
117. #10622592C22semidirect
118. #10622586C22semidirect
119. #10622586C22semidirect
120. #10622574C22semidirect
126. #10622573C22semidirect
133. #10622570C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
139. #10622569C22semidirect
140. #10622568C22semidirect
141. #10622568C22semidirect
142. #10622566C22semidirect
143. #10622561C22semidirect
144. #10622560C22semidirect
145. #10622560C22semidirect
146. #10622559C22semidirect
147. #10622555C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
151. #10622553C22semidirect
152. #10622553C22semidirect
153. #10622553C22semidirect
154. #10622552C22semidirect
155. #10622545C22semidirect
156. #10622542C22semidirect
157. #10622289C22semidirect
158. #10622288C22semidirect
159. #10622288C22semidirect
160. #10622286C22semidirect
164. #10622285C22semidirect
167. #10622284C22semidirect
168. #10622284C22semidirect
169. #10622281C22semidirect
170. #10622280C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622277C22semidirect
184. #10622277C22semidirect
185. #10622273C22semidirect
186. #10622270C22semidirect
187. #10622268C22semidirect
188. #10622259C22semidirect
362. C4×D44D4semidirect
656. #2601D11semidirect
842. C2×#126C2×D11semidirect
880. C2×#117C2×D11semidirect
886. #398C2×D11semidirect
894. #396C2×D11semidirect
895. #396C2×D11semidirect
943. #389C2×D11semidirect
955. #388C2×D11semidirect
956. #388C2×D11semidirect
957. #388C2×D11semidirect
959. #387C2×D11semidirect
981. #385C2×D11semidirect
992. C4×C4⋊C4C2×D11semidirect
1539. C11#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×#106230552
#130769112
#130768972
#130752882
#130752432
#130752092
#130752022
#130750342
#130749842
#130749732
#130749632
#130749492
#130749462
#130749362
#130748642
#130748392
#130748312
#130745072
#130744652
#130743032
#130742452
#130742052
#130735872
#130735102
#130719602
#130719332
#130712542
C11×#26012
#3672411