Finite Group Databasebeta

← #14960923

Subgroups — #14960923

Order 2816.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076897C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13075830C211yesmaximal, characteristic, complemented
4#13075828C211yesmaximal, characteristic, complemented
5#13075825C211yesmaximal, characteristic, complemented
6#13075824C211yesmaximal, characteristic, complemented
7#13075737C211yesmaximal, characteristic, complemented
8#13075733C211yesmaximal, characteristic, complemented
9#13075729C211yesmaximal, characteristic, complemented
10#13075725C211yesmaximal, characteristic, complemented
11#13075265C211yesmaximal, characteristic, complemented
12#13075261C211yesmaximal, characteristic, complemented
13#13075257C211yesmaximal, characteristic, complemented
14#13075253C211yesmaximal, characteristic, complemented
15#13074858C211yesmaximal, characteristic, complemented
16#13074857C211yesmaximal, characteristic, complemented
17#13074855C211yesmaximal, characteristic, complemented
18#13074852C211yesmaximal, characteristic, complemented
19#13074720C211yesmaximal, characteristic, complemented
20#13074588C211yesmaximal, characteristic, complemented
21#13072357C211yesmaximal, characteristic, complemented
22#13072351C211yesmaximal, characteristic, complemented
23#13072349C211yesmaximal, 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×#10622600C211yesmaximal, characteristic, complemented
31C11×#2443C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic, complemented
34C2×C11×#121C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C11×C4⋊C4C2211yescharacteristic
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×C4⋊Dic11C2211yescharacteristic
51C2×#66948C2211yescharacteristic
52C2×#66947C2211yescharacteristic, complemented
53C2×#66939C2211yescharacteristic, complemented
54C2×#66937C2211yescharacteristic
55C2×#66937C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66936C2211yescharacteristic, complemented
60C2×#66935C2211yescharacteristic
61C2×#66935C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C11×#399C2211yescharacteristic, complemented
64C11×#398C2211yescharacteristic, complemented
65C11×#397C2211yescharacteristic, complemented
66C11×#394C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic, complemented
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic, complemented
76#10622836C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic, complemented
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic, complemented
85C2×C11⋊#95C2211yescharacteristic
86C2×C11⋊#95C2211yescharacteristic
87#10622607C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622606C2211yescharacteristic, complemented
91#10622605C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic, complemented
93#10622605C2211yescharacteristic, complemented
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622604C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622601C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic
104#10622600C2211yescharacteristic
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic
107#10622600C2211yescharacteristic
108#10622600C2211yescharacteristic
109#10622600C2211yescharacteristic
110#10622597C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622596C2211yescharacteristic, complemented
113#10622595C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622593C2211yescharacteristic, complemented
116#10622591C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic, complemented
124#10622573C2211yescharacteristic, complemented
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic, complemented
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622566C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic, complemented
140#10622563C2211yescharacteristic
141#10622563C2211yescharacteristic, complemented
142#10622562C2211yescharacteristic, complemented
143#10622562C2211yescharacteristic, complemented
144#10622562C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic
146#10622559C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic, complemented
153#10622552C2211yescharacteristic
154#10622546C2211yescharacteristic, complemented
155#10622290C2211yescharacteristic, complemented
156#10622289C2211yescharacteristic
157#10622287C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic
160#10622284C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622280C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622274C2211yescharacteristic, complemented
178#10622272C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, 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×D11—24no—
215C22×C4×D11—42no—
216C22×C4×D11—42no—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C11×#123—42no—
224C11×#121—42no—
225C4×D4×C11—42no—
226C2×C11×C4⋊C4—42no—
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256#66992—24no—
257#66992—24no—
258#66992—42no—
259#66992—42no—
260#66992—42no—
261#66990—42no—
262#66990—42no—
263D4×Dic11—42no—
264#66983—42no—
265#66983—42no—
266C4×C22⋊D11—42no—
267C2×(C2×D11)⋊C4—42no—
268C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11—42no—
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
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#66948—42no—
328#66947—42no—
329#66939—42no—
330#66937—42no—
331#66937—42no—
332#66937—42no—
333#66937—42no—
334#66937—42no—
335#66936—42no—
336#66935—42no—
337#66935—42no—
338(C22⋊D11)⋊C4—42no—
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375#36727—111nomaximal, Sylow
376C24×C11C2411yescharacteristic
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
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—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11#4114yes—
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C2×D44—22no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44—41no—
482C2×D44—41no—
483C2×D44—41no—
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×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—416no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4—22no—
513C11×C4⋊C4—41no—
514C11×C4⋊C4—41no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4—41no—
517C11×C4⋊C4—41no—
518C11×C4⋊C4—41no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C42×C11—41no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538C22⋊Dic11—41no—
539C22⋊Dic11—41no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
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—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597#2847—111no—
598#2847—111no—
599#2748—111no—
600#2748—111no—
601#2748—111no—
602#2748—111no—
603#2741—111no—
604#2741—111no—
605#2741—111no—
606#2741—111no—
607#2703—111no—
608#2703—111no—
609#2703—111no—
610#2703—111no—
611#2671—111no—
612#2671—111no—
613#2671—111no—
614#2671—111no—
615#2656—111no—
616#2646—111no—
617#2443—111no—
618#2443—111no—
619#2443—111no—
620#2443D1111yescharacteristic, complemented
621#2424—111no—
622#2424—111no—
623#2424—111no—
624#2424—111no—
625#2325—111no—
626#2325—111no—
627C2×#380—111no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11C2×#4112yes—
647C23×C11H(5,𝔽2)12yes—
648C23×C11H(5,𝔽2)12yes—
649C23×C11C2511yescharacteristic
650C22×D11—28no—
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—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—44no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—44no—
682C22×D11—44no—
683C22×D11H(5,𝔽2)12yes—
684C22×D112−1+412yes—
685D4×C11—44no—
686D4×C11—44no—
687D4×C11—82no—
688C2×C4×C11—28no—
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—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—82no—
724C2×C4×C11—82no—
725C2×C4×C11—82no—
726C2×C4×C11H(5,𝔽2)12yes—
727C2×C4×C11H(5,𝔽2)12yes—
728C22⋊D11—44no—
729C22⋊D11—44no—
730C22⋊D11—82no—
731C22⋊D11—82no—
732C22⋊D11—82no—
733C22⋊D11—82no—
734C22⋊D11—82no—
735C22⋊D11—82no—
736C22⋊D11—82no—
737C22⋊D11—82no—
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—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—44no—
773C2×Dic11—82no—
774C2×Dic11—82no—
775C2×Dic11—82no—
776C2×Dic11C2×#4112yes—
777C2×Dic11C2×#4112yes—
778D44—82no—
779D44—82no—
780D44—82no—
781D44—82no—
782D44—82no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—82no—
788C4×D11—82no—
789C24×C4—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123C2×D1111yescharacteristic, complemented
794C2×#121—111no—
795C2×#121—111no—
796C2×#121—111no—
797C2×#121—111no—
798C2×#121—111no—
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121C2×D1111yescharacteristic
808C2×#120—111no—
809C2×#120—111no—
810C2×#120—111no—
811C2×#120—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4C2×D1111yescharacteristic
816C22×C4⋊C4—111no—
817C22×C4⋊C4C2×D1111yescharacteristic
818C22×C22⋊C4—111no—
819C22×C22⋊C4—111no—
820#400—111no—
821#400—111no—
822#400—111no—
823#400—111no—
824#399—111no—
825#399—111no—
826#399—111no—
827#399—111no—
828#399—111no—
829#399—111no—
830#399—111no—
831#399C2×D1111yescharacteristic, complemented
832#398—111no—
833#398—111no—
834#398—111no—
835#398—111no—
836#398—111no—
837#398—111no—
838#398—111no—
839#398C2×D1111yescharacteristic, complemented
840#397—111no—
841#397—111no—
842#397—111no—
843#397C2×D1111yescharacteristic, complemented
844#396—111no—
845#396—111no—
846#396—111no—
847#396—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394—111no—
859#394C2×D1111yescharacteristic, complemented
860#392—111no—
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#392—111no—
867#392—111no—
868#390—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388C2×D1111yescharacteristic, complemented
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387C2×D1111yescharacteristic, complemented
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#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386C2×D1111yescharacteristic
914#386C2×D1111yescharacteristic
915#386C2×D1111yescharacteristic
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385C2×D1111yescharacteristic
927#385C2×D1111yescharacteristic, complemented
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#380—111no—
934#380—111no—
935#380—111no—
936#380—111no—
937#380—111no—
938#380—111no—
939#380—111no—
940#380—111no—
941#380—111no—
942C2×#95—111no—
943C2×#95—111no—
944C22×C11—22no—
945C22×C11—22no—
946C22×C11—22no—
947C22×C11—22no—
948C22×C11—22no—
949C22×C11—22no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11#54014yes—
965C22×C11C22×#4111yescharacteristic
966C22×C11C2×H(5,𝔽2)11yescharacteristic
967C22×C11C2×H(5,𝔽2)11yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×H(5,𝔽2)11yescharacteristic
970C22×C11C2×H(5,𝔽2)11yescharacteristic
971C22×C11C2×2−1+411yescharacteristic
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—416no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C4×C11—22no—
1002C4×C11—22no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006C4×C11—41no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013Dic11—22no—
1014Dic11—22no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025C25—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C22×D4—111no—
1034C22×D4—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4C22×D1111yescharacteristic
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—224no—
1055C23×C4—442no—
1056C23×C4—442no—
1057C23×C4C22×D1111yescharacteristic
1058C23×C4C22×D1111yescharacteristic
1059C23×C4C22×D1111yescharacteristic
1060C23×C4C22×D1111yescharacteristic
1061#123—42no—
1062#123—442no—
1063#123—442no—
1064#123—442no—
1065#121—42no—
1066#121—224no—
1067#121—224no—
1068#121—442no—
1069#121—442no—
1070#121—442no—
1071#121—442no—
1072#121—442no—
1073#121—442no—
1074#121—442no—
1075#121—442no—
1076#121—442no—
1077#121—442no—
1078#121—442no—
1079#120—442no—
1080#120—442no—
1081#120—442no—
1082#120—442no—
1083C4×D4—42no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C2×C4⋊C4—42no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—442no—
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C4⋊C4C22×D1111yescharacteristic
1118C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—442no—
1161C2×C22⋊C4—442no—
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42C22×D1111yescharacteristic
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213C2×C11—24no—
1214C2×C11—81no—
1215C2×C11—81no—
1216C2×C11C2×#54011yescharacteristic
1217C2×C11#349011yescharacteristic
1218C2×C11#349211yescharacteristic
1219C2×C11#353611yescharacteristic
1220C2×C11#353611yescharacteristic
1221C2×C11#353711yescharacteristic
1222C2×C11#353711yescharacteristic
1223D11—42no—
1224D11—42no—
1225D11—81no—
1226D11—81no—
1227C24—111no—
1228C24—111no—
1229C24—111no—
1230C24—111no—
1231C24—222no—
1232C24—222no—
1233C24—222no—
1234C24—222no—
1235C24—222no—
1236C24—441no—
1237C24—441no—
1238C24C23×D1111yescharacteristic
1239C24C23×D1111yescharacteristic
1240C24C23×D1111yescharacteristic
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—222no—
1251C2×D4—222no—
1252C2×D4—222no—
1253C2×D4—222no—
1254C2×D4—222no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—222no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—441no—
1287C2×D4—441no—
1288C2×D4—441no—
1289C2×D4—441no—
1290C2×D4—441no—
1291C2×D4—441no—
1292C2×D4—441no—
1293C2×D4—441no—
1294C2×D4—441no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—114no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—4416no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4C23×D1111yescharacteristic
1351C22×C4C23×D1111yescharacteristic
1352C22×C4C23×D1111yescharacteristic
1353C22×C4C23×D1111yescharacteristic
1354C22×C4C23×D1111yescharacteristic
1355C22×C4C23×D1111yescharacteristic
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—222no—
1371C4⋊C4—222no—
1372C4⋊C4—222no—
1373C4⋊C4—222no—
1374C4⋊C4—441no—
1375C4⋊C4—441no—
1376C4⋊C4—441no—
1377C4⋊C4—441no—
1378C4⋊C4—441no—
1379C4⋊C4—441no—
1380C4⋊C4—441no—
1381C4⋊C4—441no—
1382C4⋊C4—441no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
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—441no—
1418C22⋊C4—441no—
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—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C42—41no—
1445C42—441no—
1446C42—441no—
1447C42—441no—
1448C11#3672711yescharacteristic, complemented, Sylow
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—112no—
1468C23—112no—
1469C23—228no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—444no—
1497C23—444no—
1498C23—444no—
1499C23—444no—
1500C23—444no—
1501C23—444no—
1502C23#6703712yes—
1503C23#41×D1112yes—
1504C23#6704212yes—
1505C23C24×D1111yescharacteristic
1506D4—44no—
1507D4—44no—
1508D4—82no—
1509D4—444no—
1510D4—444no—
1511D4—882no—
1512D4—882no—
1513D4—882no—
1514D4—882no—
1515D4—882no—
1516D4—882no—
1517D4—882no—
1518D4—882no—
1519D4—882no—
1520D4—882no—
1521D4—882no—
1522D4—882no—
1523D4—882no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—444no—
1599C2×C4—444no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—882no—
1604C2×C4—882no—
1605C2×C4—882no—
1606C2×C4—882no—
1607C2×C4—882no—
1608C2×C4#6703712yes—
1609C2×C4#6704212yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—222no—
1631C22—222no—
1632C22—222no—
1633C22—222no—
1634C22—222no—
1635C22—222no—
1636C22—4416no—
1637C22—441no—
1638C22—441no—
1639C22—441no—
1640C22—441no—
1641C22—441no—
1642C22—441no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22#1062319414yes—
1660C22C2×#6703711yescharacteristic
1661C22C2×#6703711yescharacteristic
1662C22C2×#41×D1111yescharacteristic
1663C22C2×#6704211yescharacteristic
1664C22C2×#6704211yescharacteristic
1665C22D11×H(5,𝔽2)11yescharacteristic
1666C22D11×2−1+411yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—222no—
1680C4—222no—
1681C4—441no—
1682C4—441no—
1683C4—441no—
1684C4—441no—
1685C4—441no—
1686C4—441no—
1687C4—441no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C2—24no—
1692C2—81no—
1693C2—81no—
1694C2—442no—
1695C2—442no—
1696C2—881no—
1697C2—881no—
1698C2C2×#1062319411yescharacteristic
1699C2#1308229911yescharacteristic
1700C2#1308232111yescharacteristic
1701C2#1308283211yescharacteristic
1702C2#1308283911yescharacteristic
1703C2#1308284711yescharacteristic
1704C2#1308285211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2443C2
hypercenter#2443D11
hypocenterC11#36727
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. #13076897C2semidirect
2. #13076897C2semidirect
3. #13075830C2semidirect
4. #13075828C2semidirect
5. #13075825C2semidirect
6. #13075824C2semidirect
7. #13075737C2semidirect
8. #13075733C2semidirect
9. #13075729C2semidirect
10. #13075725C2semidirect
11. #13075265C2semidirect
12. #13075261C2semidirect
13. #13075257C2semidirect
14. #13075253C2semidirect
15. #13074858C2semidirect
16. #13074857C2semidirect
17. #13074855C2semidirect
18. #13074852C2semidirect
19. #13074720C2semidirect
20. #13074588C2semidirect
21. #13072357C2semidirect
22. #13072351C2semidirect
23. #13072349C2semidirect
24. #13072158C2semidirect
25. #13072154C2semidirect
26. #13072150C2semidirect
27. #13072146C2semidirect
28. #13071317C2semidirect
29. #13071314C2semidirect
30. C2×#10622600C2semidirect
31. C11×#2443C2semidirect
33. C2×C11×#123C22semidirect
52. C2×#66947C22semidirect
53. C2×#66939C22semidirect
59. C2×#66936C22semidirect
63. C11×#399C22semidirect
64. C11×#398C22semidirect
65. C11×#397C22semidirect
66. C11×#394C22semidirect
67. C11×#388C22semidirect
68. C11×#387C22semidirect
73. C11×#385C22semidirect
75. #10622836C22semidirect
76. #10622836C22semidirect
82. #10622826C22semidirect
84. #10622823C22semidirect
90. #10622606C22semidirect
91. #10622605C22semidirect
92. #10622605C22semidirect
93. #10622605C22semidirect
96. #10622604C22semidirect
98. #10622603C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
110. #10622597C22semidirect
111. #10622597C22semidirect
112. #10622596C22semidirect
113. #10622595C22semidirect
114. #10622594C22semidirect
115. #10622593C22semidirect
116. #10622591C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
123. #10622573C22semidirect
124. #10622573C22semidirect
129. #10622571C22semidirect
136. #10622569C22semidirect
137. #10622569C22semidirect
138. #10622566C22semidirect
139. #10622564C22semidirect
141. #10622563C22semidirect
142. #10622562C22semidirect
143. #10622562C22semidirect
144. #10622562C22semidirect
146. #10622559C22semidirect
147. #10622558C22semidirect
148. #10622557C22semidirect
152. #10622553C22semidirect
154. #10622546C22semidirect
155. #10622290C22semidirect
157. #10622287C22semidirect
162. #10622283C22semidirect
164. #10622282C22semidirect
165. #10622281C22semidirect
166. #10622281C22semidirect
177. #10622274C22semidirect
178. #10622272C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622270C22semidirect
182. #10622270C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
620. #2443D11semidirect
793. C2×#123C2×D11semidirect
831. #399C2×D11semidirect
839. #398C2×D11semidirect
843. #397C2×D11semidirect
859. #394C2×D11semidirect
883. #388C2×D11semidirect
891. #387C2×D11semidirect
927. #385C2×D11semidirect
1448. C11#36727semidirect

Maximal subgroups

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

subgroupindex
#130768972
#130758302
#130758282
#130758252
#130758242
#130757372
#130757332
#130757292
#130757252
#130752652
#130752612
#130752572
#130752532
#130748582
#130748572
#130748552
#130748522
#130747202
#130745882
#130723572
#130723512
#130723492
#130721582
#130721542
#130721502
#130721462
#130713172
#130713142
C2×#106226002
C11×#24432
#3672711