Finite Group Databasebeta

← #14926367

Subgroups — #14926367

Order 2816.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13076954C211yesmaximal, characteristic, complemented
4#13076943C211yesmaximal, characteristic, complemented
5#13076911C211yesmaximal, characteristic, complemented
6#13076905C211yesmaximal, characteristic, complemented
7#13074422C211yesmaximal, characteristic, complemented
8#13074355C211yesmaximal, characteristic, complemented
9#13074329C211yesmaximal, characteristic, complemented
10#13074327C211yesmaximal, characteristic, complemented
11#13072658C211yesmaximal, characteristic, complemented
12#13072654C211yesmaximal, characteristic, complemented
13#13072649C211yesmaximal, characteristic, complemented
14#13072645C211yesmaximal, characteristic, complemented
15#13072558C211yesmaximal, characteristic, complemented
16#13072554C211yesmaximal, characteristic, complemented
17#13072551C211yesmaximal, characteristic, complemented
18#13072547C211yesmaximal, characteristic, complemented
19#13072515C211yesmaximal, characteristic, complemented
20#13072509C211yesmaximal, characteristic, complemented
21#13072504C211yesmaximal, characteristic, complemented
22#13072502C211yesmaximal, characteristic, complemented
23#13072500C211yesmaximal, characteristic, complemented
24#13072499C211yesmaximal, characteristic, complemented
25#13072495C211yesmaximal, characteristic, complemented
26#13071283C211yesmaximal, characteristic, complemented
27#13071280C211yesmaximal, characteristic, complemented
28#13071210C211yesmaximal, characteristic, complemented
29#13071117C211yesmaximal, characteristic, complemented
30C4×#66990C211yesmaximal, characteristic, complemented
31C11×#2455C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×C11×#123C2211yescharacteristic, complemented
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C2×#66991C2211yescharacteristic, complemented
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66988C2211yescharacteristic, complemented
43C2×D4×Dic11C2211yescharacteristic
44C2×#66983C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49#10623188—28no—
50C4×D4×D11—28no—
51C2×#66951C2211yescharacteristic, complemented
52C2×#66950C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic, complemented
56C2×#66947C2211yescharacteristic, complemented
57C2×#66946C2211yescharacteristic
58C2×#66946C2211yescharacteristic
59C2×#66946C2211yescharacteristic, complemented
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×#66938C2211yescharacteristic, complemented
62C2×#66938C2211yescharacteristic, complemented
63C2×#66937C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×#66932C2211yescharacteristic, complemented
73C2×C4×D44C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C11×#399C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic, complemented
78C11×#392C2211yescharacteristic
79C11×#389C2211yescharacteristic, complemented
80C11×#389C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#388C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622836C2211yescharacteristic
89#10622836C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622826C2211yescharacteristic, complemented
94#10622824C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96C4×C22⋊Dic11C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622600C2211yescharacteristic
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622594C2211yescharacteristic, complemented
117#10622591C2211yescharacteristic, complemented
118#10622587C2211yescharacteristic, complemented
119#10622586C2211yescharacteristic, complemented
120#10622586C2211yescharacteristic, complemented
121#10622585C2211yescharacteristic, complemented
122#10622585C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622573C2211yescharacteristic
128#10622573C2211yescharacteristic
129#10622573C2211yescharacteristic
130#10622573C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic
132#10622572C2211yescharacteristic
133#10622571C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622568C2211yescharacteristic
142#10622568C2211yescharacteristic
143#10622568C2211yescharacteristic
144#10622568C2211yescharacteristic
145#10622565C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622561C2211yescharacteristic, complemented
150#10622560C2211yescharacteristic, complemented
151#10622559C2211yescharacteristic, complemented
152#10622559C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622557C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157#10622556C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622553C2211yescharacteristic, complemented
161#10622553C2211yescharacteristic, complemented
162C4×(C2×D11)⋊C4C2211yescharacteristic
163C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic
168#10622284C2211yescharacteristic
169#10622283C2211yescharacteristic, complemented
170#10622283C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic
174#10622279C2211yescharacteristic
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic, complemented
182#10622277C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C2×D4×D11—24no—
208C2×D4×D11—24no—
209C2×D4×D11—24no—
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11—24no—
215C22×C4×D11—24no—
216C22×C4×D11—42no—
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11C2311yescharacteristic
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×C4×D11C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C11×#123—24no—
232C11×#123—42no—
233C4×D4×C11—24no—
234C4×D4×C11—42no—
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×C4⋊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×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270#66991—24no—
271#66990—24no—
272#66990—24no—
273#66988—42no—
274D4×Dic11—24no—
275#66983—24no—
276C4×C22⋊D11—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335#66951—24no—
336#66950—24no—
337#66947—24no—
338#66947—24no—
339#66947—42no—
340#66947—42no—
341#66946—24no—
342#66946—24no—
343#66946—42no—
344C4⋊C4×D11—24no—
345#66938—24no—
346#66938—24no—
347#66937—24no—
348#66936—24no—
349#66935—24no—
350#66935—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—24no—
353(C22⋊D11)⋊C4—42no—
354C22⋊C4×D11—24no—
355C22⋊C4×D11D418yescomplemented
356#66932—24no—
357C4×D44—24no—
358C42×D11—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34986—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
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×D11C2×D414yes—
408C23×D11#4114yes—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485D4×D11—232no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—41no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
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—416no—
526C2×C4×D11—416no—
527C2×C4×D11C2×D414yes—
528C2×C4×D11C2×D414yes—
529C2×C4×D11#4114yes—
530C2×Dic22—22no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—22no—
538C11×C4⋊C4—22no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4—41no—
541C11×C4⋊C4—41no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—22no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4C2×D414yes—
554C42×C11—22no—
555C42×C11—41no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11C2×D414yes—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
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—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
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)⋊C4C2×D414yes—
597(C2×D11)⋊C4C2×D414yes—
598C4⋊Dic11—22no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—41no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615C4×Dic11—22no—
616C4×Dic11—22no—
617C4×Dic11—22no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—41no—
621C4×Dic11—41no—
622C4×Dic11—41no—
623C2×#538—111no—
624C22×C4×D4—111no—
625#2855—111no—
626#2854—111no—
627#2849—111no—
628#2849—111no—
629#2626—111no—
630#2617—111no—
631#2613—111no—
632#2613—111no—
633#2466—111no—
634#2466—111no—
635#2466—111no—
636#2466—111no—
637#2459—111no—
638#2459—111no—
639#2459—111no—
640#2459—111no—
641#2456—111no—
642#2456—111no—
643#2456—111no—
644#2456—111no—
645#2455—111no—
646#2455—111no—
647#2455—111no—
648#2455D1111yescharacteristic, complemented
649#2322—111no—
650#2322—111no—
651#2312—111no—
652C4×#120—111no—
653C4×#120—111no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
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×C11C22×D412yes—
674C23×C11C2×#4112yes—
675C23×C11C2511yescharacteristic
676C22×D11—21no—
677C22×D11—21no—
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—28no—
693C22×D11—28no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—44no—
710C22×D11—44no—
711C22×D11—44no—
712C22×D11—44no—
713C22×D11C22×D412yes—
714C22×D11C22×D412yes—
715C22×D11C2×#4112yes—
716C22×D11C2×#4112yes—
717C22×D11C2×#4112yes—
718D4×C11—28no—
719D4×C11—44no—
720D4×C11—82no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
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—44no—
754C2×C4×C11—44no—
755C2×C4×C11—82no—
756C2×C4×C11C22×D412yes—
757C2×C4×C11C22×D412yes—
758C2×C4×C11C2×#4112yes—
759C2×C4×C11H(5,𝔽2)12yes—
760C22⋊D11—28no—
761C22⋊D11—28no—
762C22⋊D11—44no—
763C22⋊D11—44no—
764C22⋊D11—44no—
765C22⋊D11—82no—
766C22⋊D11—82no—
767C22⋊D11—82no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
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—44no—
801C2×Dic11—44no—
802C2×Dic11C22×D412yes—
803C2×Dic11C22×D412yes—
804C2×Dic11C2×#4112yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—28no—
807D44—44no—
808D44—44no—
809D44—82no—
810C4×D11—28no—
811C4×D11—28no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—44no—
818C4×D11—44no—
819C4×D11—82no—
820Dic22—82no—
821C23×D4—111no—
822C24×C4—111no—
823C24×C4—111no—
824#538—228no—
825C2×#126—111no—
826C2×#126—111no—
827C2×#124—111no—
828C2×#124—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×#123—111no—
833C2×#123—111no—
834C2×#123—111no—
835C2×#123C2×D1111yescharacteristic, complemented
836C2×#123C2×D1111yescharacteristic, complemented
837C2×C22⋊Q8—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#120—111no—
842C2×#120—111no—
843C2×#120—111no—
844C2×#120—111no—
845C2×C4×D4—111no—
846C2×C4×D4—111no—
847C2×C4×D4—111no—
848C2×C4×D4—111no—
849C2×C4×D4—111no—
850C2×C4×D4—111no—
851C2×C4×D4—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4—228no—
858C2×C4×D4C2×D1111yescharacteristic
859C2×C4×D4C2×D1111yescharacteristic, complemented
860C22×C4⋊C4—111no—
861C22×C22⋊C4—111no—
862C22×C22⋊C4—111no—
863C22×C42—111no—
864#399—111no—
865#399C2×D1111yescharacteristic, complemented
866#397—111no—
867#397—111no—
868#396—111no—
869#396—111no—
870#396—111no—
871#396—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#394—111no—
876#394—111no—
877#394—111no—
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#394C2×D1111yescharacteristic
883#394C2×D1111yescharacteristic, complemented
884#393—111no—
885#393—111no—
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#392—111no—
891#392—111no—
892#392—111no—
893#392—111no—
894#392—111no—
895#392C2×D1111yescharacteristic
896#391—111no—
897#391—111no—
898#390—111no—
899#390—111no—
900#389—111no—
901#389—111no—
902#389—111no—
903#389—111no—
904#389—111no—
905#389—111no—
906#389C2×D1111yescharacteristic, complemented
907#389C2×D1111yescharacteristic, complemented
908#388—111no—
909#388—111no—
910#388—111no—
911#388—111no—
912#388—111no—
913#388—111no—
914#388—111no—
915#388—111no—
916#388—111no—
917#388—111no—
918#388—111no—
919#388—111no—
920#388—111no—
921#388—111no—
922#388C2×D1111yescharacteristic, complemented
923#388C2×D1111yescharacteristic, complemented
924#387—111no—
925#387—111no—
926#387—111no—
927#387—111no—
928#387—111no—
929#387—111no—
930#387—111no—
931#387—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#386—111no—
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385C2×D1111yescharacteristic, complemented
958#385C2×D1111yescharacteristic, complemented
959#385C2×D1111yescharacteristic, complemented
960#381—111no—
961#381—111no—
962#381—111no—
963#381—111no—
964#381—111no—
965#381—111no—
966#380—111no—
967#380—111no—
968#379—111no—
969#379—111no—
970#379—111no—
971#379—111no—
972C4×C22⋊C4—111no—
973C4×C22⋊C4—111no—
974C4×C22⋊C4—111no—
975C4×C22⋊C4—111no—
976C4×C22⋊C4—111no—
977C4×C22⋊C4—111no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11C23×D411yescharacteristic
1000C22×C11C22×#4111yescharacteristic
1001C22×C11C22×#4111yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11#58511yescharacteristic
1005C22×C11#58511yescharacteristic
1006C2×D11—22no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—416no—
1019C2×D11—416no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
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#52514yes—
1036C4×C11—22no—
1037C4×C11—22no—
1038C4×C11—22no—
1039C4×C11—22no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047C4×C11—41no—
1048Dic11—22no—
1049Dic11—22no—
1050Dic11—22no—
1051Dic11—22no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060C25—111no—
1061C25—111no—
1062C22×Q8—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—111no—
1075C22×D4—224no—
1076C22×D4—224no—
1077C22×D4—224no—
1078C22×D4C22×D1111yescharacteristic
1079C22×D4C22×D1111yescharacteristic
1080C22×D4C22×D1111yescharacteristic
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—224no—
1094C23×C4—224no—
1095C23×C4—442no—
1096C23×C4—442no—
1097C23×C4—442no—
1098C23×C4—442no—
1099C23×C4C22×D1111yescharacteristic
1100C23×C4C22×D1111yescharacteristic
1101C23×C4C22×D1111yescharacteristic
1102#126—224no—
1103#126—224no—
1104#124—224no—
1105#124—224no—
1106#123—24no—
1107#123—42no—
1108#123—224no—
1109#123—224no—
1110#123—224no—
1111#123—442no—
1112#123—442no—
1113#123—442no—
1114C22⋊Q8—224no—
1115#121—224no—
1116#121—224no—
1117#121—224no—
1118#120—224no—
1119#120—224no—
1120#120—224no—
1121#120—224no—
1122C4×D4—24no—
1123C4×D4—42no—
1124C4×D4—224no—
1125C4×D4—224no—
1126C4×D4—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C4×D4—224no—
1132C4×D4—224no—
1133C4×D4—442no—
1134C4×D4—442no—
1135C4×D4—442no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—224no—
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C4⋊C4C22×D1111yescharacteristic
1156C2×C4⋊C4C22×D1111yescharacteristic
1157C2×C4⋊C4C22×D1111yescharacteristic
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—118no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
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—224no—
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C42—111no—
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42—111no—
1223C2×C42—111no—
1224C2×C42—111no—
1225C2×C42—111no—
1226C2×C42—111no—
1227C2×C42—224no—
1228C2×C42C22×D1111yescharacteristic
1229C2×C42C22×D1111yescharacteristic
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95C22×D1111yescharacteristic
1257#95C22×D1111yescharacteristic
1258#95C22×D1111yescharacteristic
1259#95C22×D1111yescharacteristic
1260#95C22×D1111yescharacteristic
1261#95C22×D1111yescharacteristic
1262C2×C11—42no—
1263C2×C11—42no—
1264C2×C11—81no—
1265C2×C11C2×#52511yescharacteristic
1266C2×C11#345911yescharacteristic
1267C2×C11#345911yescharacteristic
1268C2×C11#348411yescharacteristic
1269C2×C11#348511yescharacteristic
1270C2×C11#350611yescharacteristic
1271C2×C11#350611yescharacteristic
1272D11—24no—
1273D11—42no—
1274D11—42no—
1275D11—81no—
1276C24—111no—
1277C24—111no—
1278C24—111no—
1279C24—114no—
1280C24—114no—
1281C24—111no—
1282C24—222no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—441no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24—441no—
1291C24—441no—
1292C24—441no—
1293C24—441no—
1294C24C23×D1111yescharacteristic
1295C24C23×D1111yescharacteristic
1296C24C23×D1111yescharacteristic
1297C2×Q8—222no—
1298C2×Q8—441no—
1299C2×Q8—441no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—2232no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—114no—
1360C22×C4—114no—
1361C22×C4—114no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—4416no—
1402C22×C4—4416no—
1403C22×C4—441no—
1404C22×C4—441no—
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C22×C4C23×D1111yescharacteristic
1416C22×C4C23×D1111yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—222no—
1433C4⋊C4—222no—
1434C4⋊C4—222no—
1435C4⋊C4—222no—
1436C4⋊C4—222no—
1437C4⋊C4—222no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C4⋊C4—441no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—114no—
1455C22⋊C4—114no—
1456C22⋊C4—114no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4D4×D1114yes—
1497C42—22no—
1498C42—41no—
1499C42—222no—
1500C42—222no—
1501C42—222no—
1502C42—222no—
1503C42—222no—
1504C42—441no—
1505C42—441no—
1506C42—441no—
1507C11#3498611yescharacteristic, complemented, Sylow
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—112no—
1528C23—112no—
1529C23—112no—
1530C23—112no—
1531C23—112no—
1532C23—228no—
1533C23—228no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—444no—
1558C23—444no—
1559C23—444no—
1560C23—444no—
1561C23—444no—
1562C23—444no—
1563C23—444no—
1564C23—444no—
1565C23—444no—
1566C23—444no—
1567C23—444no—
1568C23—444no—
1569C23C2×D4×D1112yes—
1570C23#41×D1112yes—
1571C23C24×D1111yescharacteristic
1572Q8—882no—
1573D4—28no—
1574D4—44no—
1575D4—82no—
1576D4—228no—
1577D4—228no—
1578D4—228no—
1579D4—444no—
1580D4—444no—
1581D4—444no—
1582D4—444no—
1583D4—444no—
1584D4—882no—
1585D4—882no—
1586D4—882no—
1587D4—882no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—82no—
1623C2×C4—112no—
1624C2×C4—112no—
1625C2×C4—112no—
1626C2×C4—112no—
1627C2×C4—228no—
1628C2×C4—228no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—444no—
1662C2×C4—444no—
1663C2×C4—444no—
1664C2×C4—444no—
1665C2×C4—444no—
1666C2×C4—444no—
1667C2×C4—444no—
1668C2×C4—444no—
1669C2×C4—444no—
1670C2×C4—882no—
1671C2×C4C2×D4×D1112yes—
1672C2×C4C2×D4×D1112yes—
1673C2×C4#6703712yes—
1674C2×C4#41×D1112yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—114no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—222no—
1705C22—222no—
1706C22—222no—
1707C22—222no—
1708C22—222no—
1709C22—4416no—
1710C22—4416no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22—441no—
1724C22—441no—
1725C22—441no—
1726C22C22×D4×D1111yescharacteristic
1727C22C2×#6703711yescharacteristic
1728C22C2×#41×D1111yescharacteristic
1729C22C2×#41×D1111yescharacteristic
1730C22#1062345311yescharacteristic
1731C22D11×H(5,𝔽2)11yescharacteristic
1732C22#1062345711yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—222no—
1746C4—222no—
1747C4—222no—
1748C4—222no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—224no—
1761C2—442no—
1762C2—442no—
1763C2—881no—
1764C2D11×#52511yescharacteristic
1765C2#1308202311yescharacteristic
1766C2#1308202411yescharacteristic
1767C2#1308224411yescharacteristic
1768C2#1308225511yescharacteristic
1769C2#1308246411yescharacteristic
1770C2#1308246611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2455C2
hypercenter#2455D11
hypocenterC11#34986
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2455

Complements

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

NH ≅ G/Ntype
1. C2×#10623188C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13076954C2semidirect
4. #13076943C2semidirect
5. #13076911C2semidirect
6. #13076905C2semidirect
7. #13074422C2semidirect
8. #13074355C2semidirect
9. #13074329C2semidirect
10. #13074327C2semidirect
11. #13072658C2semidirect
12. #13072654C2semidirect
13. #13072649C2semidirect
14. #13072645C2semidirect
15. #13072558C2semidirect
16. #13072554C2semidirect
17. #13072551C2semidirect
18. #13072547C2semidirect
19. #13072515C2semidirect
20. #13072509C2semidirect
21. #13072504C2semidirect
22. #13072502C2semidirect
23. #13072500C2semidirect
24. #13072499C2semidirect
25. #13072495C2semidirect
26. #13071283C2semidirect
27. #13071280C2semidirect
28. #13071210C2semidirect
29. #13071117C2semidirect
30. C4×#66990C2semidirect
31. C11×#2455C2semidirect
35. C2×C11×#123C22semidirect
36. C2×C11×#123C22semidirect
38. C2×C4×D4×C11C22semidirect
39. C2×#66991C22semidirect
42. C2×#66988C22semidirect
44. C2×#66983C22semidirect
48. C2×C4×C22⋊D11C22semidirect
51. C2×#66951C22semidirect
54. C2×#66947C22semidirect
55. C2×#66947C22semidirect
56. C2×#66947C22semidirect
59. C2×#66946C22semidirect
61. C2×#66938C22semidirect
62. C2×#66938C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
72. C2×#66932C22semidirect
75. C11×#399C22semidirect
77. C11×#394C22semidirect
79. C11×#389C22semidirect
80. C11×#389C22semidirect
81. C11×#388C22semidirect
82. C11×#388C22semidirect
83. C11×#385C22semidirect
84. C11×#385C22semidirect
85. C11×#385C22semidirect
89. #10622836C22semidirect
91. #10622833C22semidirect
92. #10622826C22semidirect
93. #10622826C22semidirect
94. #10622824C22semidirect
95. #10622823C22semidirect
96. C4×C22⋊Dic11C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
99. #10622605C22semidirect
101. #10622604C22semidirect
102. #10622603C22semidirect
103. #10622603C22semidirect
108. #10622602C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. #10622594C22semidirect
117. #10622591C22semidirect
118. #10622587C22semidirect
119. #10622586C22semidirect
120. #10622586C22semidirect
121. #10622585C22semidirect
122. #10622585C22semidirect
125. #10622574C22semidirect
126. #10622574C22semidirect
130. #10622573C22semidirect
133. #10622571C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
145. #10622565C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
148. #10622561C22semidirect
149. #10622561C22semidirect
150. #10622560C22semidirect
151. #10622559C22semidirect
152. #10622559C22semidirect
153. #10622558C22semidirect
154. #10622557C22semidirect
155. #10622557C22semidirect
156. #10622557C22semidirect
157. #10622556C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. #10622553C22semidirect
160. #10622553C22semidirect
161. #10622553C22semidirect
163. C4×(C2×D11)⋊C4C22semidirect
164. #10622542C22semidirect
165. #10622288C22semidirect
166. #10622286C22semidirect
169. #10622283C22semidirect
170. #10622283C22semidirect
171. #10622282C22semidirect
172. #10622281C22semidirect
175. #10622279C22semidirect
178. #10622278C22semidirect
181. #10622277C22semidirect
182. #10622277C22semidirect
183. #10622268C22semidirect
184. #10622268C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
355. C22⋊C4×D11D4semidirect
648. #2455D11semidirect
835. C2×#123C2×D11semidirect
836. C2×#123C2×D11semidirect
859. C2×C4×D4C2×D11semidirect
865. #399C2×D11semidirect
883. #394C2×D11semidirect
906. #389C2×D11semidirect
907. #389C2×D11semidirect
922. #388C2×D11semidirect
923. #388C2×D11semidirect
957. #385C2×D11semidirect
958. #385C2×D11semidirect
959. #385C2×D11semidirect
1507. C11#34986semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
C2×C4×D4×D112
#130769542
#130769432
#130769112
#130769052
#130744222
#130743552
#130743292
#130743272
#130726582
#130726542
#130726492
#130726452
#130725582
#130725542
#130725512
#130725472
#130725152
#130725092
#130725042
#130725022
#130725002
#130724992
#130724952
#130712832
#130712802
#130712102
#130711172
C4×#669902
C11×#24552
#3498611