Finite Group Databasebeta

← #14961663

Subgroups — #14961663

Order 2816.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076959C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076553C211yesmaximal, characteristic, complemented
4#13076548C211yesmaximal, characteristic, complemented
5#13076477C211yesmaximal, characteristic, complemented
6#13076472C211yesmaximal, characteristic, complemented
7#13076426C211yesmaximal, characteristic, complemented
8#13076418C211yesmaximal, characteristic, complemented
9#13075900C211yesmaximal, characteristic, complemented
10#13075888C211yesmaximal, characteristic, complemented
11#13075885C211yesmaximal, characteristic, complemented
12#13075881C211yesmaximal, characteristic, complemented
13#13075376C211yesmaximal, characteristic, complemented
14#13075372C211yesmaximal, characteristic, complemented
15#13075228C211yesmaximal, characteristic, complemented
16#13075223C211yesmaximal, characteristic, complemented
17#13074882C211yesmaximal, characteristic, complemented
18#13074875C211yesmaximal, characteristic, complemented
19#13074356C211yesmaximal, characteristic, complemented
20#13074356C211yesmaximal, characteristic, complemented
21#13072372C211yesmaximal, characteristic, complemented
22#13072364C211yesmaximal, characteristic, complemented
23#13072351C211yesmaximal, characteristic, complemented
24#13072158C211yesmaximal, characteristic, complemented
25#13072154C211yesmaximal, characteristic, complemented
26#13072150C211yesmaximal, characteristic, complemented
27#13072146C211yesmaximal, characteristic, complemented
28#13071317C211yesmaximal, characteristic, complemented
29#13071314C211yesmaximal, characteristic, complemented
30C2×#10622603C211yesmaximal, characteristic, complemented
31C11×#2443C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic
36C2×#66993C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46C2×#66983C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C22×(C2×D11)⋊C4C2211yescharacteristic
50C22×(C2×D11)⋊C4C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C2×#66948C2211yescharacteristic
53C2×#66947C2211yescharacteristic, complemented
54C2×#66942C2211yescharacteristic, complemented
55C2×#66937C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C11×#399C2211yescharacteristic, complemented
60C11×#398C2211yescharacteristic, complemented
61C11×#397C2211yescharacteristic, complemented
62C11×#394C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#385C2211yescharacteristic
69C11×#385C2211yescharacteristic, complemented
70#10622836C2211yescharacteristic
71#10622834C2211yescharacteristic, complemented
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic, complemented
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic, complemented
80C2×C11⋊#95C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82#10622607C2211yescharacteristic
83#10622607C2211yescharacteristic
84#10622607C2211yescharacteristic
85#10622606C2211yescharacteristic, complemented
86#10622605C2211yescharacteristic, complemented
87#10622604C2211yescharacteristic
88#10622604C2211yescharacteristic
89#10622604C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622601C2211yescharacteristic
103#10622601C2211yescharacteristic, complemented
104#10622597C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622589C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic, complemented
114#10622573C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622573C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic, complemented
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic, complemented
130#10622571C2211yescharacteristic, complemented
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic, complemented
135#10622570C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622566C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622563C2211yescharacteristic
143#10622559C2211yescharacteristic
144#10622559C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148#10622556C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic, complemented
153#10622552C2211yescharacteristic
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622288C2211yescharacteristic
160#10622288C2211yescharacteristic, complemented
161#10622287C2211yescharacteristic, complemented
162#10622285C2211yescharacteristic
163#10622285C2211yescharacteristic
164#10622285C2211yescharacteristic
165#10622285C2211yescharacteristic
166#10622285C2211yescharacteristic
167#10622285C2211yescharacteristic
168#10622284C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622283C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622277C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
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
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#123—42no—
217C11×#121—42no—
218C4×D4×C11—42no—
219C2×C11×C4⋊C4—42no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66993—42no—
250#66992—24no—
251#66992—24no—
252#66992—42no—
253#66992—42no—
254#66992—42no—
255#66990—42no—
256#66990—42no—
257D4×Dic11—42no—
258#66983—42no—
259#66983—42no—
260C4×C22⋊D11—42no—
261C2×(C2×D11)⋊C4—24no—
262C2×(C2×D11)⋊C4—42no—
263C2×(C2×D11)⋊C4—42no—
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(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×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×C4×Dic11—42no—
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66948—42no—
327#66947—42no—
328#66942—42no—
329#66937—42no—
330#66935—42no—
331#66935—42no—
332(C22⋊D11)⋊C4—42no—
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36759—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11#4114yes—
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C2×D44—22no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×D44—41no—
483C2×D44—41no—
484C2×D44—41no—
485C2×D44—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C42×C11—41no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557C4⋊Dic11—22no—
558C4⋊Dic11—41no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582#2856—111no—
583#2851—111no—
584#2803—111no—
585#2803—111no—
586#2797—111no—
587#2797—111no—
588#2793—111no—
589#2793—111no—
590#2753—111no—
591#2753—111no—
592#2752—111no—
593#2752—111no—
594#2711—111no—
595#2711—111no—
596#2701—111no—
597#2701—111no—
598#2673—111no—
599#2673—111no—
600#2617—111no—
601#2617—111no—
602#2444—111no—
603#2444—111no—
604#2443—111no—
605#2443D1111yescharacteristic, complemented
606#2424—111no—
607#2424—111no—
608#2424—111no—
609#2424—111no—
610#2325—111no—
611#2325—111no—
612C2×#388—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11C2×#4112yes—
632C23×C11H(5,𝔽2)12yes—
633C23×C11H(5,𝔽2)12yes—
634C23×C11C2511yescharacteristic
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—44no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—82no—
667C22×D11—82no—
668C22×D11—82no—
669C22×D11—82no—
670D4×C11—44no—
671D4×C11—44no—
672D4×C11—82no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—44no—
709C2×C4×C11—44no—
710C2×C4×C11—82no—
711C2×C4×C11—82no—
712C2×C4×C11H(5,𝔽2)12yes—
713C22⋊D11—44no—
714C22⋊D11—44no—
715C22⋊D11—82no—
716C22⋊D11—82no—
717C22⋊D11—82no—
718C22⋊D11—82no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C22⋊D11—82no—
722C22⋊D11—82no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—44no—
757C2×Dic11—44no—
758C2×Dic11—82no—
759C2×Dic11—82no—
760C2×Dic11C2×#4112yes—
761C2×Dic11C2×#4112yes—
762C2×Dic11H(5,𝔽2)12yes—
763D44—82no—
764D44—82no—
765D44—82no—
766D44—82no—
767D44—82no—
768C4×D11—82no—
769C4×D11—82no—
770C2×#127—111no—
771C2×#125—111no—
772C2×#123—111no—
773C2×#123C2×D1111yescharacteristic, complemented
774C2×#121—111no—
775C2×#121—111no—
776C2×#121—111no—
777C2×#121—111no—
778C2×#121—111no—
779C2×#121—111no—
780C2×#121—111no—
781C2×#121—111no—
782C2×#121—111no—
783C2×#121C2×D1111yescharacteristic
784C2×#120—111no—
785C2×#120—111no—
786C2×#120—111no—
787C2×#120—111no—
788C2×C4×D4—111no—
789C2×C4×D4—111no—
790C2×C4×D4—111no—
791C2×C4×D4C2×D1111yescharacteristic
792C22×C4⋊C4C2×D1111yescharacteristic
793C22×C22⋊C4—111no—
794C22×C22⋊C4—111no—
795C22×C22⋊C4—111no—
796C22×C42—111no—
797#400—111no—
798#400—111no—
799#399—111no—
800#399C2×D1111yescharacteristic, complemented
801#398—111no—
802#398C2×D1111yescharacteristic, complemented
803#397—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397C2×D1111yescharacteristic, complemented
813#396—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394—111no—
836#394C2×D1111yescharacteristic, complemented
837#392—111no—
838#392—111no—
839#392—111no—
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#390—111no—
846#390—111no—
847#390—111no—
848#390—111no—
849#390—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#389—111no—
856#389—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388C2×D1111yescharacteristic, complemented
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#387C2×D1111yescharacteristic, complemented
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386C2×D1111yescharacteristic
905#386C2×D1111yescharacteristic
906#386C2×D1111yescharacteristic
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385C2×D1111yescharacteristic
916#385C2×D1111yescharacteristic, complemented
917#384—111no—
918#382—111no—
919#381—111no—
920#381—111no—
921#380—111no—
922#380—111no—
923C2×#95—111no—
924C2×#95—111no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11#54014yes—
946C22×C11C22×#4111yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×H(5,𝔽2)11yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11C2×H(5,𝔽2)11yescharacteristic
951C22×C11#58511yescharacteristic
952C22×C11#58511yescharacteristic
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—88no—
982C4×C11—22no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—41no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006C25—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4—111no—
1010C22×D4—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C22×D4C22×D1111yescharacteristic
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4C22×D1111yescharacteristic
1032C23×C4C22×D1111yescharacteristic
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#127—442no—
1036#125—442no—
1037#123—42no—
1038#123—442no—
1039#121—42no—
1040#121—224no—
1041#121—224no—
1042#121—442no—
1043#121—442no—
1044#121—442no—
1045#121—442no—
1046#121—442no—
1047#121—442no—
1048#121—442no—
1049#120—442no—
1050#120—442no—
1051#120—442no—
1052#120—442no—
1053C4×D4—42no—
1054C4×D4—442no—
1055C4×D4—442no—
1056C4×D4—442no—
1057C2×C4⋊C4—42no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C4⋊C4C22×D1111yescharacteristic
1079C2×C4⋊C4C22×D1111yescharacteristic
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—224no—
1130C2×C22⋊C4—442no—
1131C2×C22⋊C4—442no—
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—442no—
1151C2×C42C22×D1111yescharacteristic
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188C2×C11—24no—
1189C2×C11—81no—
1190C2×C11—81no—
1191C2×C11C2×#54011yescharacteristic
1192C2×C11#350511yescharacteristic
1193C2×C11#350611yescharacteristic
1194C2×C11#353411yescharacteristic
1195C2×C11#353711yescharacteristic
1196C2×C11#355811yescharacteristic
1197C2×C11#356011yescharacteristic
1198D11—81no—
1199D11—81no—
1200D11—81no—
1201D11—81no—
1202C24—111no—
1203C24—111no—
1204C24—111no—
1205C24—111no—
1206C24—222no—
1207C24—222no—
1208C24—222no—
1209C24—441no—
1210C24—441no—
1211C24—441no—
1212C24—441no—
1213C24C23×D1111yescharacteristic
1214C24C23×D1111yescharacteristic
1215C24C23×D1111yescharacteristic
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—114no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—441no—
1299C22×C4—441no—
1300C22×C4—441no—
1301C22×C4—441no—
1302C22×C4—441no—
1303C22×C4—441no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4C23×D1111yescharacteristic
1313C22×C4C23×D1111yescharacteristic
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—222no—
1336C4⋊C4—222no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
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—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C42—41no—
1407C42—222no—
1408C42—222no—
1409C42—441no—
1410C42—441no—
1411C42—441no—
1412C42—441no—
1413C42—441no—
1414C11#3675911yescharacteristic, complemented, Sylow
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—444no—
1462C23—444no—
1463C23—444no—
1464C23—882no—
1465C23—882no—
1466C23—882no—
1467C23—882no—
1468C23#6703712yes—
1469C23#41×D1112yes—
1470C23#6704212yes—
1471C23C24×D1111yescharacteristic
1472D4—44no—
1473D4—44no—
1474D4—82no—
1475D4—444no—
1476D4—444no—
1477D4—882no—
1478D4—882no—
1479D4—882no—
1480D4—882no—
1481D4—882no—
1482D4—882no—
1483D4—882no—
1484D4—882no—
1485D4—882no—
1486D4—882no—
1487D4—882no—
1488D4—882no—
1489D4—882no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—112no—
1530C2×C4—112no—
1531C2×C4—112no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—882no—
1568C2×C4—882no—
1569C2×C4—882no—
1570C2×C4—882no—
1571C2×C4#6703712yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—441no—
1593C22—441no—
1594C22—441no—
1595C22—441no—
1596C22—441no—
1597C22—441no—
1598C22—441no—
1599C22—441no—
1600C22—441no—
1601C22—441no—
1602C22—441no—
1603C22—441no—
1604C22—441no—
1605C22—441no—
1606C22—441no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—888no—
1621C22#1062319414yes—
1622C22C2×#6703711yescharacteristic
1623C22C2×#6703711yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22C2×#6704211yescharacteristic
1626C22#1062345311yescharacteristic
1627C22D11×H(5,𝔽2)11yescharacteristic
1628C22#1062345711yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—881no—
1657C2—881no—
1658C2—881no—
1659C2—881no—
1660C2C2×#1062319411yescharacteristic
1661C2#1308244811yescharacteristic
1662C2#1308245911yescharacteristic
1663C2#1308279311yescharacteristic
1664C2#1308284611yescharacteristic
1665C2#1308313311yescharacteristic
1666C2#1308316411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2443C2
hypercenter#2443D11
hypocenterC11#36759
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. #13076959C2semidirect
2. #13076922C2semidirect
3. #13076553C2semidirect
4. #13076548C2semidirect
5. #13076477C2semidirect
6. #13076472C2semidirect
7. #13076426C2semidirect
8. #13076418C2semidirect
9. #13075900C2semidirect
10. #13075888C2semidirect
11. #13075885C2semidirect
12. #13075881C2semidirect
13. #13075376C2semidirect
14. #13075372C2semidirect
15. #13075228C2semidirect
16. #13075223C2semidirect
17. #13074882C2semidirect
18. #13074875C2semidirect
19. #13074356C2semidirect
20. #13074356C2semidirect
21. #13072372C2semidirect
22. #13072364C2semidirect
23. #13072351C2semidirect
24. #13072158C2semidirect
25. #13072154C2semidirect
26. #13072150C2semidirect
27. #13072146C2semidirect
28. #13071317C2semidirect
29. #13071314C2semidirect
30. C2×#10622603C2semidirect
31. C11×#2443C2semidirect
32. C2×C11×#123C22semidirect
36. C2×#66993C22semidirect
53. C2×#66947C22semidirect
54. C2×#66942C22semidirect
59. C11×#399C22semidirect
60. C11×#398C22semidirect
61. C11×#397C22semidirect
62. C11×#394C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
69. C11×#385C22semidirect
71. #10622834C22semidirect
77. #10622826C22semidirect
79. #10622823C22semidirect
85. #10622606C22semidirect
86. #10622605C22semidirect
89. #10622604C22semidirect
99. #10622603C22semidirect
100. #10622602C22semidirect
101. #10622602C22semidirect
103. #10622601C22semidirect
104. #10622597C22semidirect
105. #10622594C22semidirect
106. #10622594C22semidirect
107. #10622591C22semidirect
108. #10622591C22semidirect
109. #10622589C22semidirect
110. #10622585C22semidirect
113. #10622574C22semidirect
126. #10622572C22semidirect
129. #10622571C22semidirect
130. #10622571C22semidirect
133. #10622570C22semidirect
134. #10622570C22semidirect
135. #10622570C22semidirect
136. #10622570C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622566C22semidirect
141. #10622565C22semidirect
144. #10622559C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
147. #10622557C22semidirect
148. #10622556C22semidirect
152. #10622553C22semidirect
154. #10622546C22semidirect
160. #10622288C22semidirect
161. #10622287C22semidirect
170. #10622283C22semidirect
172. #10622282C22semidirect
173. #10622281C22semidirect
176. #10622277C22semidirect
177. #10622272C22semidirect
178. #10622271C22semidirect
179. #10622268C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
605. #2443D11semidirect
773. C2×#123C2×D11semidirect
800. #399C2×D11semidirect
802. #398C2×D11semidirect
812. #397C2×D11semidirect
836. #394C2×D11semidirect
876. #388C2×D11semidirect
888. #387C2×D11semidirect
916. #385C2×D11semidirect
1414. C11#36759semidirect

Maximal subgroups

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

subgroupindex
#130769592
#130769222
#130765532
#130765482
#130764772
#130764722
#130764262
#130764182
#130759002
#130758882
#130758852
#130758812
#130753762
#130753722
#130752282
#130752232
#130748822
#130748752
#130743562
#130723722
#130723642
#130723512
#130721582
#130721542
#130721502
#130721462
#130713172
#130713142
C2×#106226032
C11×#24432
#3675911