Finite Group Databasebeta

← #14960817

Subgroups — #14960817

Order 2816.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623169C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3#13076909C211yesmaximal, characteristic, complemented
4#13076900C211yesmaximal, characteristic, complemented
5#13075321C211yesmaximal, characteristic, complemented
6#13075306C211yesmaximal, characteristic, complemented
7#13075276C211yesmaximal, characteristic, complemented
8#13075261C211yesmaximal, characteristic, complemented
9#13075235C211yesmaximal, characteristic, complemented
10#13075196C211yesmaximal, characteristic, complemented
11#13075181C211yesmaximal, characteristic, complemented
12#13075009C211yesmaximal, characteristic, complemented
13#13074990C211yesmaximal, characteristic, complemented
14#13074984C211yesmaximal, characteristic, complemented
15#13074975C211yesmaximal, characteristic, complemented
16#13074975C211yesmaximal, characteristic, complemented
17#13074960C211yesmaximal, characteristic, complemented
18#13074952C211yesmaximal, characteristic, complemented
19#13074947C211yesmaximal, characteristic, complemented
20#13074940C211yesmaximal, characteristic, complemented
21#13074453C211yesmaximal, characteristic, complemented
22#13074312C211yesmaximal, characteristic, complemented
23#13074242C211yesmaximal, characteristic, complemented
24#13074211C211yesmaximal, characteristic, complemented
25#13074205C211yesmaximal, characteristic, complemented
26#13073967C211yesmaximal, characteristic, complemented
27#13073814C211yesmaximal, characteristic, complemented
28#13071960C211yesmaximal, characteristic, complemented
29#13071949C211yesmaximal, characteristic, complemented
30#13071256C211yesmaximal, characteristic, complemented
31C11×#2638C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66999C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45#10623169—28no—
46#10623078—28no—
47C2×#66951C2211yescharacteristic, complemented
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic, complemented
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic, complemented
53C2×#66946C2211yescharacteristic, complemented
54C2×C4⋊C4×D11C2211yescharacteristic, complemented
55C2×#66942C2211yescharacteristic, complemented
56C2×#66942C2211yescharacteristic, complemented
57C2×#66939C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic, complemented
65C2×#66935C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×#66932C2211yescharacteristic
68C2×#66931C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×#66925C2211yescharacteristic
71C11×#398C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#393C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic, complemented
83C11×#381C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622835C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622825C2211yescharacteristic
88#10622823C2211yescharacteristic, complemented
89#10622607C2211yescharacteristic
90#10622607C2211yescharacteristic
91#10622607C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic, complemented
101#10622601C2211yescharacteristic
102#10622601C2211yescharacteristic
103#10622600C2211yescharacteristic
104#10622600C2211yescharacteristic
105#10622597C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622593C2211yescharacteristic, complemented
108#10622592C2211yescharacteristic, complemented
109#10622589C2211yescharacteristic, complemented
110#10622586C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic, complemented
114#10622573C2211yescharacteristic
115#10622573C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic, complemented
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622561C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic, complemented
133#10622559C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622557C2211yescharacteristic, complemented
138#10622556C2211yescharacteristic
139#10622553C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic
143#10622289C2211yescharacteristic
144#10622289C2211yescharacteristic, complemented
145#10622288C2211yescharacteristic
146#10622288C2211yescharacteristic, complemented
147#10622288C2211yescharacteristic, complemented
148#10622285C2211yescharacteristic
149#10622285C2211yescharacteristic
150#10622284C2211yescharacteristic
151#10622284C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic, complemented
155#10622283C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622282C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic, complemented
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic, complemented
175#10622274C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×#4339—24no—
202C2×#4339—42no—
203C2×#4339—42no—
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×C4×D11—24no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
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
221C11×C22⋊Q8—24no—
222C4×D4×C11—24no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250#66999—24no—
251#66999—24no—
252#66999—42no—
253#66999—42no—
254#66992—24no—
255#66990—24no—
256#66982—24no—
257C4×C22⋊D11—24no—
258C4×C22⋊D11D418yescomplemented
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×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329#66951—24no—
330#66949—24no—
331#66949—42no—
332#66947—24no—
333#66947—24no—
334#66947—42no—
335#66946—24no—
336C4⋊C4×D11—24no—
337#66942—24no—
338#66942—24no—
339#66939—42no—
340#66937—24no—
341#66937—24no—
342#66937—42no—
343#66936—24no—
344#66936—24no—
345#66936—24no—
346#66936—42no—
347#66935—24no—
348#66935—42no—
349#66932—24no—
350#66931—24no—
351C4×D44—24no—
352#66925—24no—
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#36723—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—41no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C22×C4×C11—22no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C2×D414yes—
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—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
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—22no—
444C22×Dic11—41no—
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457#4339—416no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×D44—41no—
470C2×D44—41no—
471C2×D44—41no—
472C2×D44—41no—
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—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
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—41no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C42×C11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11C2×D414yes—
528(C2×D11)⋊C4—22no—
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—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4C2×D414yes—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
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⋊C4C2×D414yes—
592C4×Dic11—22no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#539—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2707—111no—
603#2706—111no—
604#2704—111no—
605#2703—111no—
606#2701—111no—
607#2698—111no—
608#2697—111no—
609#2685—111no—
610#2683—111no—
611#2682—111no—
612#2681—111no—
613#2681—111no—
614#2680—111no—
615#2680—111no—
616#2678—111no—
617#2678—111no—
618#2638D1111yescharacteristic, complemented
619#2630—111no—
620#2611—111no—
621#2603—111no—
622#2601—111no—
623#2600—111no—
624#2579—111no—
625#2566—111no—
626#2407—111no—
627#2406—111no—
628#2319—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—82no—
680D4×C11—44no—
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—44no—
719C2×C4×C11—44no—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C22×D412yes—
722C22⋊D11—44no—
723C22⋊D11—44no—
724C22⋊D11—44no—
725C22⋊D11—44no—
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—44no—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11C22×D412yes—
764C2×Dic11H(5,𝔽2)12yes—
765D44—44no—
766D44—44no—
767D44—44no—
768D44—82no—
769D44—82no—
770C4×D11—28no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—82no—
777C4×D11—82no—
778Dic22—44no—
779C22×#41—111no—
780C24×C4—111no—
781#539—228no—
782C2×#126—111no—
783C2×#126—111no—
784C2×#125—111no—
785C2×#125—111no—
786#525—228no—
787C2×#123—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8C2×D1111yescharacteristic
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×#120—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4C2×D1111yescharacteristic
816C2×#117—111no—
817C22×C4⋊C4—111no—
818#400—111no—
819#399—111no—
820#398—111no—
821#398—111no—
822#398—111no—
823#398—111no—
824#398—111no—
825#398—111no—
826#398C2×D1111yescharacteristic, complemented
827#397—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397C2×D1111yescharacteristic
832#397C2×D1111yescharacteristic
833#397C2×D1111yescharacteristic, complemented
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#395—111no—
845#395—111no—
846#395C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
859#394C2×D1111yescharacteristic
860#393C2×D1111yescharacteristic, complemented
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#391—111no—
867#390—111no—
868#390—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#390—111no—
874#390—111no—
875#389—111no—
876#389—111no—
877#389—111no—
878#389—111no—
879#389—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#387—111no—
893#387—111no—
894#387C2×D1111yescharacteristic, complemented
895#387C2×D1111yescharacteristic, complemented
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#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385C2×D1111yescharacteristic, complemented
921#385C2×D1111yescharacteristic, complemented
922#384—111no—
923#382—111no—
924#381—111no—
925#381—111no—
926#381C2×D1111yescharacteristic
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#379—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935#376—111no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—41no—
940C22×C11—41no—
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×C11C23×D411yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11C2×H(5,𝔽2)11yescharacteristic
953C22×C11C2×2−1+411yescharacteristic
954C22×C11#58511yescharacteristic
955C22×C11#58511yescharacteristic
956C22×C11#58511yescharacteristic
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—22no—
965C2×D11—22no—
966C2×D11—416no—
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—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—22no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011C25—111no—
1012C2×#41—224no—
1013C2×#41—442no—
1014C2×#41—442no—
1015C22×Q8—111no—
1016C22×Q8C22×D1111yescharacteristic
1017C22×D4—111no—
1018C22×D4—111no—
1019C22×D4—111no—
1020C22×D4—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4C22×D1111yescharacteristic
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—224no—
1039C23×C4—442no—
1040C23×C4—442no—
1041C23×C4C22×D1111yescharacteristic
1042C23×C4C22×D1111yescharacteristic
1043#126—224no—
1044#126—224no—
1045#125—224no—
1046#125—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051#123—224no—
1052#123—224no—
1053#123—442no—
1054#123—442no—
1055#123—442no—
1056C22⋊Q8—24no—
1057C22⋊Q8—224no—
1058C22⋊Q8—224no—
1059C22⋊Q8—224no—
1060C22⋊Q8—224no—
1061C22⋊Q8—442no—
1062C22⋊Q8—442no—
1063C22⋊Q8—442no—
1064#121—224no—
1065#121—224no—
1066#121—224no—
1067#121—442no—
1068#120—224no—
1069#120—224no—
1070#120—442no—
1071C4×D4—24no—
1072C4×D4—118no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076#117—224no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
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⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—224no—
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×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
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⋊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×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42C22×D1111yescharacteristic
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
1207C2×C11—42no—
1208C2×C11—81no—
1209C2×C11#344911yescharacteristic
1210C2×C11#348411yescharacteristic
1211C2×C11#348911yescharacteristic
1212C2×C11#353311yescharacteristic
1213C2×C11#353511yescharacteristic
1214C2×C11#353911yescharacteristic
1215C2×C11#354111yescharacteristic
1216D11—42no—
1217D11—42no—
1218D11—42no—
1219D11—81no—
1220C24—111no—
1221C24—111no—
1222C24—111no—
1223C24—111no—
1224C24—222no—
1225C24—222no—
1226C24—222no—
1227C24—441no—
1228C24—441no—
1229C24—441no—
1230C24—441no—
1231C24C23×D1111yescharacteristic
1232C24C23×D1111yescharacteristic
1233#41—4416no—
1234C2×Q8—22no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—222no—
1238C2×Q8—222no—
1239C2×Q8—441no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—114no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
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—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—114no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
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—4416no—
1320C22×C4—441no—
1321C22×C4D4×D1114yes—
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—114no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—441no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—114no—
1384C22⋊C4—114no—
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—222no—
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—
1425C42—22no—
1426C42—114no—
1427C42—222no—
1428C42—441no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C11#3672311yescharacteristic, complemented, Sylow
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—112no—
1447C23—112no—
1448C23—112no—
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—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23C2×D4×D1112yes—
1482C23C24×D1111yescharacteristic
1483Q8—82no—
1484Q8—444no—
1485D4—44no—
1486D4—444no—
1487D4—444no—
1488D4—444no—
1489D4—444no—
1490D4—444no—
1491D4—444no—
1492D4—444no—
1493D4—882no—
1494D4—882no—
1495D4—882no—
1496D4—882no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—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—44no—
1535C2×C4—44no—
1536C2×C4—112no—
1537C2×C4—112no—
1538C2×C4—112no—
1539C2×C4—112no—
1540C2×C4—228no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4—444no—
1578C2×C4—444no—
1579C2×C4—882no—
1580C2×C4—882no—
1581C2×C4C2×D4×D1112yes—
1582C2×C4C2×D4×D1112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—222no—
1598C22—222no—
1599C22—222no—
1600C22—222no—
1601C22—222no—
1602C22—222no—
1603C22—222no—
1604C22—222no—
1605C22—222no—
1606C22—4416no—
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—
1626C22C22×D4×D1111yescharacteristic
1627C22#1062345311yescharacteristic
1628C22#1062345311yescharacteristic
1629C22D11×H(5,𝔽2)11yescharacteristic
1630C22D11×H(5,𝔽2)11yescharacteristic
1631C22D11×2−1+411yescharacteristic
1632C22#1062345711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—222no—
1647C4—222no—
1648C4—222no—
1649C4—222no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C2—42no—
1659C2—81no—
1660C2—442no—
1661C2—442no—
1662C2—442no—
1663C2—881no—
1664C2#1308194611yescharacteristic
1665C2#1308224811yescharacteristic
1666C2#1308229411yescharacteristic
1667C2#1308277911yescharacteristic
1668C2#1308282411yescharacteristic
1669C2#1308287411yescharacteristic
1670C2#1308290011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2638C2
hypercenter#2638D11
hypocenterC11#36723
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2638

Complements

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

NH ≅ G/Ntype
1. C2×#10623169C2semidirect
2. C2×#10623078C2semidirect
3. #13076909C2semidirect
4. #13076900C2semidirect
5. #13075321C2semidirect
6. #13075306C2semidirect
7. #13075276C2semidirect
8. #13075261C2semidirect
9. #13075235C2semidirect
10. #13075196C2semidirect
11. #13075181C2semidirect
12. #13075009C2semidirect
13. #13074990C2semidirect
14. #13074984C2semidirect
15. #13074975C2semidirect
16. #13074975C2semidirect
17. #13074960C2semidirect
18. #13074952C2semidirect
19. #13074947C2semidirect
20. #13074940C2semidirect
21. #13074453C2semidirect
22. #13074312C2semidirect
23. #13074242C2semidirect
24. #13074211C2semidirect
25. #13074205C2semidirect
26. #13073967C2semidirect
27. #13073814C2semidirect
28. #13071960C2semidirect
29. #13071949C2semidirect
30. #13071256C2semidirect
31. C11×#2638C2semidirect
38. C2×#66999C22semidirect
39. C2×#66999C22semidirect
47. C2×#66951C22semidirect
49. C2×#66949C22semidirect
52. C2×#66947C22semidirect
53. C2×#66946C22semidirect
54. C2×C4⋊C4×D11C22semidirect
55. C2×#66942C22semidirect
56. C2×#66942C22semidirect
64. C2×#66936C22semidirect
71. C11×#398C22semidirect
74. C11×#397C22semidirect
75. C11×#395C22semidirect
78. C11×#393C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
81. C11×#385C22semidirect
82. C11×#385C22semidirect
86. #10622826C22semidirect
88. #10622823C22semidirect
91. #10622607C22semidirect
94. #10622604C22semidirect
100. #10622602C22semidirect
105. #10622597C22semidirect
106. #10622597C22semidirect
107. #10622593C22semidirect
108. #10622592C22semidirect
109. #10622589C22semidirect
110. #10622586C22semidirect
113. #10622574C22semidirect
115. #10622573C22semidirect
118. #10622572C22semidirect
124. #10622570C22semidirect
125. #10622569C22semidirect
130. #10622561C22semidirect
131. #10622561C22semidirect
132. #10622561C22semidirect
137. #10622557C22semidirect
139. #10622553C22semidirect
140. #10622546C22semidirect
144. #10622289C22semidirect
146. #10622288C22semidirect
147. #10622288C22semidirect
154. #10622283C22semidirect
155. #10622283C22semidirect
158. #10622282C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
165. #10622280C22semidirect
174. #10622277C22semidirect
175. #10622274C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622263C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
258. C4×C22⋊D11D4semidirect
618. #2638D11semidirect
826. #398C2×D11semidirect
833. #397C2×D11semidirect
846. #395C2×D11semidirect
860. #393C2×D11semidirect
894. #387C2×D11semidirect
895. #387C2×D11semidirect
920. #385C2×D11semidirect
921. #385C2×D11semidirect
1432. C11#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#106231692
C2×#106230782
#130769092
#130769002
#130753212
#130753062
#130752762
#130752612
#130752352
#130751962
#130751812
#130750092
#130749902
#130749842
#130749752
#130749602
#130749522
#130749472
#130749402
#130744532
#130743122
#130742422
#130742112
#130742052
#130739672
#130738142
#130719602
#130719492
#130712562
C11×#26382
#3672311