Finite Group Databasebeta

← #14960641

Subgroups — #14960641

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623200C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3#13076905C211yesmaximal, characteristic, complemented
4#13076902C211yesmaximal, characteristic, complemented
5#13075163C211yesmaximal, characteristic, complemented
6#13075152C211yesmaximal, characteristic, complemented
7#13075111C211yesmaximal, characteristic, complemented
8#13075100C211yesmaximal, characteristic, complemented
9#13075063C211yesmaximal, characteristic, complemented
10#13075026C211yesmaximal, characteristic, complemented
11#13075005C211yesmaximal, characteristic, complemented
12#13074998C211yesmaximal, characteristic, complemented
13#13074926C211yesmaximal, characteristic, complemented
14#13074923C211yesmaximal, characteristic, complemented
15#13074890C211yesmaximal, characteristic, complemented
16#13074872C211yesmaximal, characteristic, complemented
17#13074852C211yesmaximal, characteristic, complemented
18#13074837C211yesmaximal, characteristic, complemented
19#13074823C211yesmaximal, characteristic, complemented
20#13074535C211yesmaximal, characteristic, complemented
21#13074456C211yesmaximal, characteristic, complemented
22#13074289C211yesmaximal, characteristic, complemented
23#13074235C211yesmaximal, characteristic, complemented
24#13074192C211yesmaximal, characteristic, complemented
25#13074183C211yesmaximal, characteristic, complemented
26#13073976C211yesmaximal, characteristic, complemented
27#13073797C211yesmaximal, characteristic, complemented
28#13072241C211yesmaximal, characteristic, complemented
29#13072229C211yesmaximal, characteristic, complemented
30#13071246C211yesmaximal, characteristic, complemented
31C11×#2674C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×#67000C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×#66997C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66988C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46#10623200—28no—
47#10623158—28no—
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66948C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66946C2211yescharacteristic
54C2×#66946C2211yescharacteristic
55C2×#66945C2211yescharacteristic
56C2×#66938C2211yescharacteristic
57C2×#66938C2211yescharacteristic, complemented
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic, complemented
60C2×#66936C2211yescharacteristic, complemented
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×#66932C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic, complemented
68C2×#66930C2211yescharacteristic, complemented
69C2×#66929C2211yescharacteristic, complemented
70C2×C4×Dic22C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic
73C11×#396C2211yescharacteristic, complemented
74C11×#395C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#393C2211yescharacteristic, complemented
77C11×#389C2211yescharacteristic, complemented
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic
82#10622844C2211yescharacteristic
83#10622843C2211yescharacteristic, complemented
84#10622842C2211yescharacteristic, complemented
85#10622836C2211yescharacteristic
86#10622824C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622605C2211yescharacteristic
90#10622605C2211yescharacteristic, complemented
91#10622604C2211yescharacteristic
92#10622604C2211yescharacteristic
93#10622604C2211yescharacteristic, complemented
94#10622604C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622601C2211yescharacteristic
107#10622600C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622599C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622595C2211yescharacteristic, complemented
113#10622594C2211yescharacteristic, complemented
114#10622593C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622591C2211yescharacteristic, complemented
117#10622590C2211yescharacteristic, complemented
118#10622586C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622571C2211yescharacteristic, complemented
132#10622570C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic
141#10622568C2211yescharacteristic
142#10622568C2211yescharacteristic
143#10622565C2211yescharacteristic
144#10622565C2211yescharacteristic
145#10622564C2211yescharacteristic
146#10622563C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622556C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic
153#10622552C2211yescharacteristic
154#10622552C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156#10622546C2211yescharacteristic, complemented
157#10622290C2211yescharacteristic
158#10622289C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic
160#10622288C2211yescharacteristic, complemented
161#10622288C2211yescharacteristic, complemented
162#10622286C2211yescharacteristic
163#10622286C2211yescharacteristic
164#10622286C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622285C2211yescharacteristic
167#10622285C2211yescharacteristic
168#10622285C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic
173#10622281C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622269C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622267C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C2×#4343—24no—
203C2×#4343—42no—
204C2×#4343—42no—
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×C4⋊Q8—42no—
224C11×#124—24no—
225C11×#123—42no—
226C11×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#67000—42no—
258#66999—24no—
259#66999—24no—
260#66997—24no—
261#66992—24no—
262#66990—42no—
263#66988—24no—
264#66983—24no—
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×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66949—42no—
327#66949—42no—
328#66948—24no—
329#66947—24no—
330#66947—24no—
331#66946—24no—
332#66946—24no—
333#66945—24no—
334#66938—24no—
335#66938—24no—
336#66937—42no—
337#66937—42no—
338#66936—24no—
339#66935—24no—
340#66935—24no—
341(C22⋊D11)⋊C4—24no—
342(C22⋊D11)⋊C4D418yescomplemented
343#66932—24no—
344#66931—24no—
345#66931—24no—
346#66930—24no—
347#66929—24no—
348C4×Dic22—24no—
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
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36712—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—22no—
401C2×Q8×C11—22no—
402C2×Q8×C11—41no—
403C2×Q8×C11—41no—
404C2×Q8×C11—41no—
405C2×D4×C11—22no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
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
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
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⋊D11C2×D414yes—
442C22×Dic11—22no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11C2×D414yes—
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460#4343—416no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—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—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—416no—
500C2×C4×D11C2×D414yes—
501C2×Dic22—22no—
502C2×Dic22—22no—
503C2×Dic22—41no—
504C2×Dic22—41no—
505C2×Dic22—41no—
506C2×Dic22—41no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4—41no—
513C11×C4⋊C4—41no—
514C11×C4⋊C4—41no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4—41no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4C2×D414yes—
528C42×C11—22no—
529C42×C11—41no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
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—22no—
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)⋊C4C2×D414yes—
571C4⋊Dic11—22no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—41no—
575C4⋊Dic11—41no—
576C4⋊Dic11—41no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C2×D414yes—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#542—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2696—111no—
603#2695—111no—
604#2692—111no—
605#2691—111no—
606#2689—111no—
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677—111no—
611#2676—111no—
612#2674—111no—
613#2674D1111yescharacteristic, complemented
614#2672—111no—
615#2671—111no—
616#2670—111no—
617#2668—111no—
618#2638—111no—
619#2630—111no—
620#2609—111no—
621#2602—111no—
622#2599—111no—
623#2598—111no—
624#2580—111no—
625#2564—111no—
626#2432—111no—
627#2430—111no—
628#2318—111no—
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×C11C22×D412yes—
643C23×C11C2511yescharacteristic
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—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11C22×D412yes—
677C22×D11H(5,𝔽2)12yes—
678C22×D112−1+412yes—
679Q8×C11—44no—
680Q8×C11—82no—
681D4×C11—82no—
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—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—44no—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C2×C4×C11H(5,𝔽2)12yes—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—82no—
725C22⋊D11—82no—
726C22⋊D11—82no—
727C22⋊D11—82no—
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—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—44no—
762C2×Dic11—44no—
763C2×Dic11C22×D412yes—
764C2×Dic11C22×D412yes—
765C2×Dic11C22×D412yes—
766D44—44no—
767D44—44no—
768D44—44no—
769D44—44no—
770D44—44no—
771C4×D11—28no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—82no—
778C4×D11—82no—
779Dic22—44no—
780Dic22—82no—
781C22×#41—111no—
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8—111no—
785C2×C4⋊Q8C2×D1111yescharacteristic, complemented
786C2×#126—111no—
787C2×#126—111no—
788C2×#124—111no—
789C2×#124—111no—
790C2×#124—111no—
791C2×#124C2×D1111yescharacteristic
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123C2×D1111yescharacteristic
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×C22⋊Q8C2×D1111yescharacteristic
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#121—111no—
809C2×#121—111no—
810C2×#120—111no—
811C2×#120—111no—
812C2×#120—111no—
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×#117—111no—
819C2×#117—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#399—111no—
825#399C2×D1111yescharacteristic, complemented
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397C2×D1111yescharacteristic
836#396—111no—
837#396—111no—
838#396—111no—
839#396C2×D1111yescharacteristic, complemented
840#395—111no—
841#395—111no—
842#395—111no—
843#395C2×D1111yescharacteristic, complemented
844#394—111no—
845#394—111no—
846#394—111no—
847#394—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#394C2×D1111yescharacteristic
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393C2×D1111yescharacteristic, complemented
864#392—111no—
865#392—111no—
866#392—111no—
867#392—111no—
868#391—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#389—111no—
874#389—111no—
875#389C2×D1111yescharacteristic, complemented
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388C2×D1111yescharacteristic
885#388C2×D1111yescharacteristic, complemented
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#387C2×D1111yescharacteristic, complemented
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#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385C2×D1111yescharacteristic
924#383—111no—
925#382—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934#379—111no—
935#379—111no—
936C4×C22⋊C4—111no—
937C2×#95—111no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11C23×D411yescharacteristic
953C22×C11C2×H(5,𝔽2)11yescharacteristic
954C22×C11C2×H(5,𝔽2)11yescharacteristic
955C22×C11C2×2−1+411yescharacteristic
956C22×C11#58511yescharacteristic
957C22×C11#58511yescharacteristic
958C22×C11#58511yescharacteristic
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—22no—
967C2×D11—22no—
968C2×D11—416no—
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—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001Dic11—22no—
1002Dic11—22no—
1003Dic11—22no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013C25—111no—
1014C2×#41—224no—
1015C2×#41—442no—
1016C2×#41—442no—
1017C22×Q8—111no—
1018C22×Q8—111no—
1019C22×Q8C22×D1111yescharacteristic
1020C22×Q8C22×D1111yescharacteristic
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4C22×D1111yescharacteristic
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—224no—
1044C23×C4—442no—
1045C23×C4—442no—
1046C23×C4C22×D1111yescharacteristic
1047C4⋊Q8—42no—
1048C4⋊Q8—224no—
1049#126—224no—
1050#126—224no—
1051#124—24no—
1052#124—224no—
1053#124—224no—
1054#124—442no—
1055#123—42no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—224no—
1060C22⋊Q8—24no—
1061C22⋊Q8—224no—
1062C22⋊Q8—224no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—442no—
1066C22⋊Q8—442no—
1067#121—224no—
1068#121—224no—
1069#121—224no—
1070#121—442no—
1071#121—442no—
1072#120—224no—
1073#120—224no—
1074#120—442no—
1075C4×Q8—224no—
1076C4×D4—118no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080#117—224no—
1081#117—224no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1105C2×C4⋊C4C22×D1111yescharacteristic
1106C2×C4⋊C4C22×D1111yescharacteristic
1107C2×C4⋊C4C22×D1111yescharacteristic
1108C2×C4⋊C4C22×D1111yescharacteristic
1109C2×C4⋊C4C22×D1111yescharacteristic
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
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—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⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
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#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209C2×C11—42no—
1210C2×C11—81no—
1211C2×C11#344911yescharacteristic
1212C2×C11#348411yescharacteristic
1213C2×C11#348911yescharacteristic
1214C2×C11#353311yescharacteristic
1215C2×C11#353511yescharacteristic
1216C2×C11#354011yescharacteristic
1217C2×C11#354111yescharacteristic
1218D11—42no—
1219D11—42no—
1220D11—42no—
1221D11—81no—
1222C24—111no—
1223C24—111no—
1224C24—111no—
1225C24—111no—
1226C24—222no—
1227C24—222no—
1228C24—222no—
1229C24—441no—
1230C24—441no—
1231C24—441no—
1232C24—441no—
1233C24C23×D1111yescharacteristic
1234C24C23×D1111yescharacteristic
1235#41—4416no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—222no—
1243C2×Q8—222no—
1244C2×Q8—441no—
1245C2×Q8—441no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—114no—
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—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—114no—
1291C22×C4—114no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—111no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4—441no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—4416no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—114no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
1364C4⋊C4—222no—
1365C4⋊C4—222no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C4⋊C4—441no—
1374C4⋊C4—441no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—114no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
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⋊C4D4×D1114yes—
1427C42—22no—
1428C42—41no—
1429C42—114no—
1430C42—222no—
1431C42—222no—
1432C42—222no—
1433C42—441no—
1434C11#3671211yescharacteristic, complemented, Sylow
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—112no—
1449C23—112no—
1450C23—112no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—221no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23—444no—
1483C23C2×D4×D1112yes—
1484C23C24×D1111yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—444no—
1488Q8—882no—
1489D4—82no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—444no—
1497D4—882no—
1498D4—882no—
1499D4—882no—
1500D4—882no—
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—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—44no—
1538C2×C4—112no—
1539C2×C4—112no—
1540C2×C4—112no—
1541C2×C4—228no—
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—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—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—882no—
1583C2×C4—882no—
1584C2×C4C2×D4×D1112yes—
1585C2×C4C2×D4×D1112yes—
1586C2×C4#6703712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—222no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—222no—
1608C22—222no—
1609C22—222no—
1610C22—4416no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6703711yescharacteristic
1632C22#1062345311yescharacteristic
1633C22D11×H(5,𝔽2)11yescharacteristic
1634C22D11×2−1+411yescharacteristic
1635C22#1062345711yescharacteristic
1636C22#1062345711yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—222no—
1651C4—222no—
1652C4—222no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—81no—
1664C2—442no—
1665C2—442no—
1666C2—442no—
1667C2—881no—
1668C2#1308194811yescharacteristic
1669C2#1308224411yescharacteristic
1670C2#1308229011yescharacteristic
1671C2#1308277911yescharacteristic
1672C2#1308282711yescharacteristic
1673C2#1308289011yescharacteristic
1674C2#1308291111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2674C2
hypercenter#2674D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#10623200C2semidirect
2. C2×#10623158C2semidirect
3. #13076905C2semidirect
4. #13076902C2semidirect
5. #13075163C2semidirect
6. #13075152C2semidirect
7. #13075111C2semidirect
8. #13075100C2semidirect
9. #13075063C2semidirect
10. #13075026C2semidirect
11. #13075005C2semidirect
12. #13074998C2semidirect
13. #13074926C2semidirect
14. #13074923C2semidirect
15. #13074890C2semidirect
16. #13074872C2semidirect
17. #13074852C2semidirect
18. #13074837C2semidirect
19. #13074823C2semidirect
20. #13074535C2semidirect
21. #13074456C2semidirect
22. #13074289C2semidirect
23. #13074235C2semidirect
24. #13074192C2semidirect
25. #13074183C2semidirect
26. #13073976C2semidirect
27. #13073797C2semidirect
28. #13072241C2semidirect
29. #13072229C2semidirect
30. #13071246C2semidirect
31. C11×#2674C2semidirect
34. C2×C11×C4⋊Q8C22semidirect
40. C2×#66999C22semidirect
41. C2×#66997C22semidirect
57. C2×#66938C22semidirect
59. C2×#66937C22semidirect
60. C2×#66936C22semidirect
67. C2×#66931C22semidirect
68. C2×#66930C22semidirect
69. C2×#66929C22semidirect
70. C2×C4×Dic22C22semidirect
71. C11×#399C22semidirect
73. C11×#396C22semidirect
74. C11×#395C22semidirect
76. C11×#393C22semidirect
77. C11×#389C22semidirect
79. C11×#388C22semidirect
80. C11×#387C22semidirect
83. #10622843C22semidirect
84. #10622842C22semidirect
90. #10622605C22semidirect
93. #10622604C22semidirect
94. #10622604C22semidirect
96. #10622603C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
107. #10622600C22semidirect
108. #10622600C22semidirect
109. #10622599C22semidirect
110. #10622597C22semidirect
111. #10622597C22semidirect
112. #10622595C22semidirect
113. #10622594C22semidirect
114. #10622593C22semidirect
115. #10622592C22semidirect
116. #10622591C22semidirect
117. #10622590C22semidirect
118. #10622586C22semidirect
119. #10622585C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
131. #10622571C22semidirect
139. #10622569C22semidirect
146. #10622563C22semidirect
147. #10622561C22semidirect
148. #10622558C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. #10622546C22semidirect
158. #10622289C22semidirect
160. #10622288C22semidirect
161. #10622288C22semidirect
164. #10622286C22semidirect
165. #10622286C22semidirect
173. #10622281C22semidirect
174. #10622281C22semidirect
180. #10622278C22semidirect
181. D11×#95C22semidirect
182. #10622270C22semidirect
183. #10622269C22semidirect
184. #10622268C22semidirect
185. #10622267C22semidirect
186. #10622267C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
342. (C22⋊D11)⋊C4D4semidirect
613. #2674D11semidirect
785. C2×C4⋊Q8C2×D11semidirect
825. #399C2×D11semidirect
839. #396C2×D11semidirect
843. #395C2×D11semidirect
863. #393C2×D11semidirect
875. #389C2×D11semidirect
885. #388C2×D11semidirect
893. #387C2×D11semidirect
1434. C11#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#106232002
C2×#106231582
#130769052
#130769022
#130751632
#130751522
#130751112
#130751002
#130750632
#130750262
#130750052
#130749982
#130749262
#130749232
#130748902
#130748722
#130748522
#130748372
#130748232
#130745352
#130744562
#130742892
#130742352
#130741922
#130741832
#130739762
#130737972
#130722412
#130722292
#130712462
C11×#26742
#3671211