Finite Group Databasebeta

← #14960657

Subgroups — #14960657

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×#10623241C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3#13076909C211yesmaximal, characteristic, complemented
4#13076902C211yesmaximal, characteristic, complemented
5#13075159C211yesmaximal, characteristic, complemented
6#13075156C211yesmaximal, characteristic, complemented
7#13075107C211yesmaximal, characteristic, complemented
8#13075104C211yesmaximal, characteristic, complemented
9#13075022C211yesmaximal, characteristic, complemented
10#13075001C211yesmaximal, characteristic, complemented
11#13074998C211yesmaximal, characteristic, complemented
12#13074930C211yesmaximal, characteristic, complemented
13#13074915C211yesmaximal, characteristic, complemented
14#13074898C211yesmaximal, characteristic, complemented
15#13074893C211yesmaximal, characteristic, complemented
16#13074864C211yesmaximal, characteristic, complemented
17#13074856C211yesmaximal, characteristic, complemented
18#13074840C211yesmaximal, characteristic, complemented
19#13074826C211yesmaximal, characteristic, complemented
20#13074535C211yesmaximal, characteristic, complemented
21#13074458C211yesmaximal, characteristic, complemented
22#13074294C211yesmaximal, characteristic, complemented
23#13074227C211yesmaximal, characteristic, complemented
24#13074192C211yesmaximal, characteristic, complemented
25#13074185C211yesmaximal, characteristic, complemented
26#13073976C211yesmaximal, characteristic, complemented
27#13073799C211yesmaximal, characteristic, complemented
28#13072243C211yesmaximal, characteristic, complemented
29#13072227C211yesmaximal, characteristic, complemented
30#13071246C211yesmaximal, characteristic, complemented
31C11×#2689C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66997C2211yescharacteristic, complemented
38C2×#66983C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40#10623241—28no—
41#10623158—28no—
42C2×#66951C2211yescharacteristic, complemented
43C2×#66950C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic, complemented
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic, complemented
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic, complemented
53C2×#66946C2211yescharacteristic
54C2×#66946C2211yescharacteristic
55C2×#66945C2211yescharacteristic
56C2×#66945C2211yescharacteristic, complemented
57C2×#66941C2211yescharacteristic, complemented
58C2×#66939C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×#66938C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×#66935C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66928C2211yescharacteristic
69C2×#66928C2211yescharacteristic, complemented
70C2×C4×Dic22C2211yescharacteristic, complemented
71C11×#400C2211yescharacteristic, complemented
72C11×#400C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#395C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#389C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic
81C11×#387C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic
83C11×#381C2211yescharacteristic
84#10622844C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic
86#10622607C2211yescharacteristic
87#10622607C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic, complemented
89#10622605C2211yescharacteristic
90#10622605C2211yescharacteristic
91#10622605C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic, complemented
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic
100#10622603C2211yescharacteristic, complemented
101#10622603C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622601C2211yescharacteristic
107#10622601C2211yescharacteristic
108#10622597C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110#10622592C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622590C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic
115#10622573C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622552C2211yescharacteristic
130#10622552C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
132#10622546C2211yescharacteristic, complemented
133#10622289C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic, complemented
136#10622287C2211yescharacteristic, complemented
137#10622286C2211yescharacteristic
138#10622286C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622286C2211yescharacteristic, complemented
141#10622286C2211yescharacteristic, complemented
142#10622285C2211yescharacteristic
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic, complemented
145#10622285C2211yescharacteristic, complemented
146#10622285C2211yescharacteristic, complemented
147#10622284C2211yescharacteristic
148#10622284C2211yescharacteristic
149#10622284C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622278C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622268C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×#4343—24no—
197C2×#4343—42no—
198C2×#4343—42no—
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#126—24no—
224C11×C22⋊Q8—24no—
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#66999—24no—
248#66997—42no—
249#66983—24no—
250#66982—42no—
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66951—24no—
321#66950—24no—
322#66949—24no—
323#66949—42no—
324#66949—42no—
325#66948—24no—
326#66948—42no—
327#66948—42no—
328#66947—24no—
329#66947—24no—
330#66947—24no—
331#66946—24no—
332#66946—24no—
333#66945—24no—
334#66945—24no—
335#66941—24no—
336#66939—24no—
337#66938—24no—
338#66938—24no—
339#66937—24no—
340#66935—24no—
341#66935—24no—
342#66935—42no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4D418yescomplemented
345#66931—24no—
346#66928—24no—
347#66928—42no—
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
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×Q8×C11—22no—
400C2×Q8×C11—22no—
401C2×Q8×C11—41no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
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
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11C2×D414yes—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11C2×D414yes—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442#4343—416no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
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—416no—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—41no—
502C2×Dic22—41no—
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—22no—
513C11×C4⋊C4—22no—
514C11×C4⋊C4—41no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4—41no—
517C11×C4⋊C4—41no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4C2×D414yes—
524C42×C11—22no—
525C42×C11—41no—
526C22⋊Dic11—22no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
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—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—
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)⋊C4C2×D414yes—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—41no—
577C4⋊Dic11—41no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
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⋊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#2689D1111yescharacteristic, complemented
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677—111no—
611#2676—111no—
612#2674—111no—
613#2674—111no—
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×C11C22×D412yes—
636C23×C11C2511yescharacteristic
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—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—
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—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—44no—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C22×D412yes—
722C2×C4×C11H(5,𝔽2)12yes—
723C22⋊D11—44no—
724C22⋊D11—44no—
725C22⋊D11—82no—
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×Dic11C22×D412yes—
758C2×Dic11C22×D412yes—
759C2×Dic11C22×D412yes—
760D44—44no—
761D44—44no—
762D44—44no—
763D44—44no—
764D44—44no—
765D44—82no—
766D44—82no—
767D44—82no—
768D44—82no—
769C4×D11—28no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—44no—
779Dic22—82no—
780Dic22—82no—
781C22×#41—111no—
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8—111no—
785C2×C4⋊Q8—111no—
786C2×#126—111no—
787C2×#126C2×D1111yescharacteristic
788C2×#124—111no—
789C2×#124—111no—
790C2×#124—111no—
791C2×#124—111no—
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123—111no—
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#400C2×D1111yescharacteristic, complemented
821#400C2×D1111yescharacteristic, complemented
822#399—111no—
823#399—111no—
824#399—111no—
825#399—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398C2×D1111yescharacteristic, complemented
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397C2×D1111yescharacteristic
835#397C2×D1111yescharacteristic
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
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#394—111no—
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393—111no—
864#392—111no—
865#392—111no—
866#392—111no—
867#392—111no—
868#391C2×D1111yescharacteristic, complemented
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#389—111no—
874#389C2×D1111yescharacteristic, complemented
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#388—111no—
885#388C2×D1111yescharacteristic
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#381C2×D1111yescharacteristic
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×C11C23×D411yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×2−1+411yescharacteristic
949C22×C11#58511yescharacteristic
950C22×C11#58511yescharacteristic
951C22×C11#58511yescharacteristic
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—416no—
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—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—
1001C4×C11—41no—
1002Dic11—22no—
1003Dic11—22no—
1004Dic11—22no—
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×Q8—111no—
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×D4—111no—
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—224no—
1048C4⋊Q8—442no—
1049#126—24no—
1050#126—224no—
1051#124—224no—
1052#124—224no—
1053#124—224no—
1054#124—442no—
1055#123—224no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—442no—
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⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
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#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
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#344911yescharacteristic
1211C2×C11#348411yescharacteristic
1212C2×C11#348911yescharacteristic
1213C2×C11#353311yescharacteristic
1214C2×C11#353511yescharacteristic
1215C2×C11#354011yescharacteristic
1216C2×C11#354111yescharacteristic
1217D11—42no—
1218D11—42no—
1219D11—42no—
1220D11—81no—
1221D11—81no—
1222C24—111no—
1223C24—111no—
1224C24—111no—
1225C24—111no—
1226C24—111no—
1227C24—222no—
1228C24—222no—
1229C24—222no—
1230C24—441no—
1231C24—441no—
1232C24—441no—
1233C24—441no—
1234C24C23×D1111yescharacteristic
1235#41—4416no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—222no—
1240C2×Q8—222no—
1241C2×Q8—222no—
1242C2×Q8—441no—
1243C2×Q8—441no—
1244C2×Q8—441no—
1245C2×Q8—441no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—114no—
1249C2×D4—222no—
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—441no—
1265C2×D4—441no—
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—222no—
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—441no—
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—441no—
1326C22×C4—4416no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4C23×D1111yescharacteristic
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—22no—
1349C4⋊C4—22no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—114no—
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—441no—
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—41no—
1379C22⋊C4—41no—
1380C22⋊C4—114no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—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—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
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—112no—
1442C23—112no—
1443C23—112no—
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—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—444no—
1487Q8—882no—
1488Q8—882no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—444no—
1494D4—444no—
1495D4—444no—
1496D4—882no—
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—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—44no—
1541C2×C4—112no—
1542C2×C4—112no—
1543C2×C4—112no—
1544C2×C4—228no—
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#6704212yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—222no—
1595C22—222no—
1596C22—222no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—222no—
1601C22—222no—
1602C22—222no—
1603C22—4416no—
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—441no—
1621C22—441no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6704211yescharacteristic
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—41no—
1651C4—222no—
1652C4—222no—
1653C4—222no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—442no—
1664C2—442no—
1665C2—442no—
1666C2—881no—
1667C2—881no—
1668C2#1308194811yescharacteristic
1669C2#1308224611yescharacteristic
1670C2#1308229011yescharacteristic
1671C2#1308279111yescharacteristic
1672C2#1308282711yescharacteristic
1673C2#1308289211yescharacteristic
1674C2#1308291511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2689C2
hypercenter#2689D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2689

Complements

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

NH ≅ G/Ntype
1. C2×#10623241C2semidirect
2. C2×#10623158C2semidirect
3. #13076909C2semidirect
4. #13076902C2semidirect
5. #13075159C2semidirect
6. #13075156C2semidirect
7. #13075107C2semidirect
8. #13075104C2semidirect
9. #13075022C2semidirect
10. #13075001C2semidirect
11. #13074998C2semidirect
12. #13074930C2semidirect
13. #13074915C2semidirect
14. #13074898C2semidirect
15. #13074893C2semidirect
16. #13074864C2semidirect
17. #13074856C2semidirect
18. #13074840C2semidirect
19. #13074826C2semidirect
20. #13074535C2semidirect
21. #13074458C2semidirect
22. #13074294C2semidirect
23. #13074227C2semidirect
24. #13074192C2semidirect
25. #13074185C2semidirect
26. #13073976C2semidirect
27. #13073799C2semidirect
28. #13072243C2semidirect
29. #13072227C2semidirect
30. #13071246C2semidirect
31. C11×#2689C2semidirect
37. C2×#66997C22semidirect
42. C2×#66951C22semidirect
43. C2×#66950C22semidirect
46. C2×#66949C22semidirect
49. C2×#66948C22semidirect
52. C2×#66947C22semidirect
56. C2×#66945C22semidirect
57. C2×#66941C22semidirect
69. C2×#66928C22semidirect
70. C2×C4×Dic22C22semidirect
71. C11×#400C22semidirect
72. C11×#400C22semidirect
73. C11×#398C22semidirect
76. C11×#395C22semidirect
77. C11×#391C22semidirect
78. C11×#389C22semidirect
79. C11×#389C22semidirect
81. C11×#387C22semidirect
84. #10622844C22semidirect
87. #10622607C22semidirect
88. #10622607C22semidirect
91. #10622605C22semidirect
92. #10622605C22semidirect
97. #10622604C22semidirect
100. #10622603C22semidirect
101. #10622603C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
108. #10622597C22semidirect
109. #10622592C22semidirect
110. #10622592C22semidirect
111. #10622591C22semidirect
112. #10622590C22semidirect
113. #10622586C22semidirect
131. C4×(C2×D11)⋊C4C22semidirect
132. #10622546C22semidirect
133. #10622289C22semidirect
135. #10622288C22semidirect
136. #10622287C22semidirect
140. #10622286C22semidirect
141. #10622286C22semidirect
144. #10622285C22semidirect
145. #10622285C22semidirect
146. #10622285C22semidirect
152. #10622282C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
165. #10622280C22semidirect
166. #10622280C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622278C22semidirect
179. D11×#95C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622268C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
344. (C22⋊D11)⋊C4D4semidirect
606. #2689D11semidirect
820. #400C2×D11semidirect
821. #400C2×D11semidirect
829. #398C2×D11semidirect
843. #395C2×D11semidirect
868. #391C2×D11semidirect
874. #389C2×D11semidirect
875. #389C2×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×#106232412
C2×#106231582
#130769092
#130769022
#130751592
#130751562
#130751072
#130751042
#130750222
#130750012
#130749982
#130749302
#130749152
#130748982
#130748932
#130748642
#130748562
#130748402
#130748262
#130745352
#130744582
#130742942
#130742272
#130741922
#130741852
#130739762
#130737992
#130722432
#130722272
#130712462
C11×#26892
#3671211